TSTP Solution File: SEU301+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU301+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:32 EDT 2022
% Result : Unknown 3.72s 3.88s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU301+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:47:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.13/2.36 ----- Otter 3.3f, August 2004 -----
% 2.13/2.36 The process was started by sandbox2 on n014.cluster.edu,
% 2.13/2.36 Wed Jul 27 07:47:39 2022
% 2.13/2.36 The command was "./otter". The process ID is 8823.
% 2.13/2.36
% 2.13/2.36 set(prolog_style_variables).
% 2.13/2.36 set(auto).
% 2.13/2.36 dependent: set(auto1).
% 2.13/2.36 dependent: set(process_input).
% 2.13/2.36 dependent: clear(print_kept).
% 2.13/2.36 dependent: clear(print_new_demod).
% 2.13/2.36 dependent: clear(print_back_demod).
% 2.13/2.36 dependent: clear(print_back_sub).
% 2.13/2.36 dependent: set(control_memory).
% 2.13/2.36 dependent: assign(max_mem, 12000).
% 2.13/2.36 dependent: assign(pick_given_ratio, 4).
% 2.13/2.36 dependent: assign(stats_level, 1).
% 2.13/2.36 dependent: assign(max_seconds, 10800).
% 2.13/2.36 clear(print_given).
% 2.13/2.36
% 2.13/2.36 formula_list(usable).
% 2.13/2.36 all A (A=A).
% 2.13/2.36 -((in(empty_set,omega)-> (all A (element(A,powerset(powerset(empty_set)))-> -(A!=empty_set& (all B (-(in(B,A)& (all C (in(C,A)&subset(B,C)->C=B)))))))))& (all D (ordinal(D)-> ((in(D,omega)-> (all E (element(E,powerset(powerset(D)))-> -(E!=empty_set& (all F (-(in(F,E)& (all G (in(G,E)&subset(F,G)->G=F)))))))))-> (in(succ(D),omega)-> (all H (element(H,powerset(powerset(succ(D))))-> -(H!=empty_set& (all I (-(in(I,H)& (all J (in(J,H)&subset(I,J)->J=I))))))))))))& (all D (ordinal(D)-> (being_limit_ordinal(D)& (all K (ordinal(K)-> (in(K,D)-> (in(K,omega)-> (all L (element(L,powerset(powerset(K)))-> -(L!=empty_set& (all M (-(in(M,L)& (all N (in(N,L)&subset(M,N)->N=M))))))))))))->D=empty_set| (in(D,omega)-> (all O (element(O,powerset(powerset(D)))-> -(O!=empty_set& (all P (-(in(P,O)& (all Q (in(Q,O)&subset(P,Q)->Q=P))))))))))))-> (all D (ordinal(D)-> (in(D,omega)-> (all R (element(R,powerset(powerset(D)))-> -(R!=empty_set& (all S (-(in(S,R)& (all T (in(T,R)&subset(S,T)->T=S)))))))))))).
% 2.13/2.36 exists A (-empty(A)&finite(A)).
% 2.13/2.36 all A exists B (element(B,powerset(A))&empty(B)&relation(B)&function(B)&one_to_one(B)&epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)&natural(B)&finite(B)).
% 2.13/2.36 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.13/2.36 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.13/2.36 all A (empty(A)->finite(A)).
% 2.13/2.36 exists A (relation(A)&function(A)).
% 2.13/2.36 all A (empty(A)->function(A)).
% 2.13/2.36 exists A (relation(A)&empty(A)&function(A)).
% 2.13/2.36 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.13/2.36 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.13/2.36 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 2.13/2.36 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&being_limit_ordinal(A)).
% 2.13/2.36 exists A (empty(A)&relation(A)).
% 2.13/2.36 all A (empty(A)->relation(A)).
% 2.13/2.36 exists A (-empty(A)&relation(A)).
% 2.13/2.36 exists A (relation(A)&relation_empty_yielding(A)).
% 2.13/2.36 all A (empty(A)&ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.13/2.36 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.13/2.36 all A (ordinal(A)&natural(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))&natural(succ(A))).
% 2.13/2.36 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 2.13/2.36 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.13/2.36 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.13/2.36 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.13/2.36 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.13/2.36 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.13/2.36 all A exists B (element(B,powerset(A))&empty(B)).
% 2.13/2.36 exists A empty(A).
% 2.13/2.36 exists A (-empty(A)).
% 2.13/2.36 all A B subset(A,A).
% 2.13/2.36 all A B (in(A,B)-> -in(B,A)).
% 2.13/2.36 $T.
% 2.13/2.36 $T.
% 2.13/2.36 $T.
% 2.13/2.36 $T.
% 2.13/2.36 $T.
% 2.13/2.36 epsilon_transitive(omega).
% 2.13/2.36 epsilon_connected(omega).
% 2.13/2.36 ordinal(omega).
% 2.13/2.36 -empty(omega).
% 2.13/2.36 empty(empty_set).
% 2.13/2.36 relation(empty_set).
% 2.13/2.36 empty(empty_set).
% 2.13/2.36 relation(empty_set).
% 2.13/2.36 relation_empty_yielding(empty_set).
% 2.13/2.36 all A (ordinal(A)-> (all B (element(B,A)->epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)))).
% 2.13/2.36 all A (element(A,omega)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.13/2.36 all A (-empty(succ(A))).
% 2.13/2.36 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 2.13/2.36 relation(empty_set).
% 2.13/2.36 relation_empty_yielding(empty_set).
% 2.13/2.36 function(empty_set).
% 2.13/2.36 one_to_one(empty_set).
% 2.13/2.36 empty(empty_set).
% 2.13/2.36 epsilon_transitive(empty_set).
% 2.13/2.36 epsilon_connected(empty_set).
% 2.13/2.36 ordinal(empty_set).
% 2.13/2.36 all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 2.13/2.36 all A (-empty(powerset(A))).
% 2.13/2.36 empty(empty_set).
% 2.13/2.36 (all A (ordinal(A)-> ((all B (ordinal(B)-> (in(B,A)-> (in(B,omega)-> (all C (element(C,powerset(powerset(B)))-> -(C!=empty_set& (all D (-(in(D,C)& (all E (in(E,C)&subset(D,E)->E=D))))))))))))-> (in(A,omega)-> (all F (element(F,powerset(powerset(A)))-> -(F!=empty_set& (all G (-(in(G,F)& (all H (in(H,F)&subset(G,H)->H=G))))))))))))-> (all A (ordinal(A)-> (in(A,omega)-> (all I (element(I,powerset(powerset(A)))-> -(I!=empty_set& (all J (-(in(J,I)& (all K (in(K,I)&subset(J,K)->K=J))))))))))).
% 2.13/2.36 all A B (set_union2(A,B)=set_union2(B,A)).
% 2.13/2.36 all A (succ(A)=set_union2(A,singleton(A))).
% 2.13/2.36 $T.
% 2.13/2.36 $T.
% 2.13/2.36 all A exists B element(B,A).
% 2.13/2.36 all A (-empty(singleton(A))).
% 2.13/2.36 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 2.13/2.36 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 2.13/2.36 all A B (set_union2(A,A)=A).
% 2.13/2.36 all A in(A,succ(A)).
% 2.13/2.36 all A (set_union2(A,empty_set)=A).
% 2.13/2.36 all A B (in(A,B)->element(A,B)).
% 2.13/2.36 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.13/2.36 all A (ordinal(A)-> -(-being_limit_ordinal(A)& (all B (ordinal(B)->A!=succ(B))))& -((exists B (ordinal(B)&A=succ(B)))&being_limit_ordinal(A))).
% 2.13/2.36 all A (empty(A)->A=empty_set).
% 2.13/2.36 all A B (-(in(A,B)&empty(B))).
% 2.13/2.36 all A B (-(empty(A)&A!=B&empty(B))).
% 2.13/2.36 end_of_list.
% 2.13/2.36
% 2.13/2.36 -------> usable clausifies to:
% 2.13/2.36
% 2.13/2.36 list(usable).
% 2.13/2.36 0 [] A=A.
% 2.13/2.36 0 [] -in(empty_set,omega)| -element(A,powerset(powerset(empty_set)))|A=empty_set|in($f1(A),A).
% 2.13/2.36 0 [] -in(empty_set,omega)| -element(A,powerset(powerset(empty_set)))|A=empty_set| -in(C,A)| -subset($f1(A),C)|C=$f1(A).
% 2.13/2.36 0 [] -ordinal(D)|in(D,omega)| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set|in($f4(D,H),H).
% 2.13/2.36 0 [] -ordinal(D)|in(D,omega)| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set| -in(J,H)| -subset($f4(D,H),J)|J=$f4(D,H).
% 2.13/2.36 0 [] -ordinal(D)|element($f3(D),powerset(powerset(D)))| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set|in($f4(D,H),H).
% 2.13/2.36 0 [] -ordinal(D)|element($f3(D),powerset(powerset(D)))| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set| -in(J,H)| -subset($f4(D,H),J)|J=$f4(D,H).
% 2.13/2.36 0 [] -ordinal(D)|$f3(D)!=empty_set| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set|in($f4(D,H),H).
% 2.13/2.36 0 [] -ordinal(D)|$f3(D)!=empty_set| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set| -in(J,H)| -subset($f4(D,H),J)|J=$f4(D,H).
% 2.13/2.36 0 [] -ordinal(D)| -in(F,$f3(D))|in($f2(D,F),$f3(D))| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set|in($f4(D,H),H).
% 2.13/2.36 0 [] -ordinal(D)| -in(F,$f3(D))|in($f2(D,F),$f3(D))| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set| -in(J,H)| -subset($f4(D,H),J)|J=$f4(D,H).
% 2.13/2.36 0 [] -ordinal(D)| -in(F,$f3(D))|subset(F,$f2(D,F))| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set|in($f4(D,H),H).
% 2.13/2.36 0 [] -ordinal(D)| -in(F,$f3(D))|subset(F,$f2(D,F))| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set| -in(J,H)| -subset($f4(D,H),J)|J=$f4(D,H).
% 2.13/2.36 0 [] -ordinal(D)| -in(F,$f3(D))|$f2(D,F)!=F| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set|in($f4(D,H),H).
% 2.13/2.36 0 [] -ordinal(D)| -in(F,$f3(D))|$f2(D,F)!=F| -in(succ(D),omega)| -element(H,powerset(powerset(succ(D))))|H=empty_set| -in(J,H)| -subset($f4(D,H),J)|J=$f4(D,H).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|ordinal($f7(X1))|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set|in($f8(X1,O),O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|ordinal($f7(X1))|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set| -in(Q,O)| -subset($f8(X1,O),Q)|Q=$f8(X1,O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|in($f7(X1),X1)|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set|in($f8(X1,O),O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|in($f7(X1),X1)|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set| -in(Q,O)| -subset($f8(X1,O),Q)|Q=$f8(X1,O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|in($f7(X1),omega)|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set|in($f8(X1,O),O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|in($f7(X1),omega)|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set| -in(Q,O)| -subset($f8(X1,O),Q)|Q=$f8(X1,O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|element($f6(X1),powerset(powerset($f7(X1))))|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set|in($f8(X1,O),O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|element($f6(X1),powerset(powerset($f7(X1))))|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set| -in(Q,O)| -subset($f8(X1,O),Q)|Q=$f8(X1,O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|$f6(X1)!=empty_set|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set|in($f8(X1,O),O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)|$f6(X1)!=empty_set|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set| -in(Q,O)| -subset($f8(X1,O),Q)|Q=$f8(X1,O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)| -in(M,$f6(X1))|in($f5(X1,M),$f6(X1))|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set|in($f8(X1,O),O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)| -in(M,$f6(X1))|in($f5(X1,M),$f6(X1))|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set| -in(Q,O)| -subset($f8(X1,O),Q)|Q=$f8(X1,O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)| -in(M,$f6(X1))|subset(M,$f5(X1,M))|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set|in($f8(X1,O),O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)| -in(M,$f6(X1))|subset(M,$f5(X1,M))|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set| -in(Q,O)| -subset($f8(X1,O),Q)|Q=$f8(X1,O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)| -in(M,$f6(X1))|$f5(X1,M)!=M|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set|in($f8(X1,O),O).
% 2.13/2.36 0 [] -ordinal(X1)| -being_limit_ordinal(X1)| -in(M,$f6(X1))|$f5(X1,M)!=M|X1=empty_set| -in(X1,omega)| -element(O,powerset(powerset(X1)))|O=empty_set| -in(Q,O)| -subset($f8(X1,O),Q)|Q=$f8(X1,O).
% 2.13/2.36 0 [] ordinal($c2).
% 2.13/2.36 0 [] in($c2,omega).
% 2.13/2.36 0 [] element($c1,powerset(powerset($c2))).
% 2.13/2.36 0 [] $c1!=empty_set.
% 2.13/2.36 0 [] -in(S,$c1)|in($f9(S),$c1).
% 2.13/2.36 0 [] -in(S,$c1)|subset(S,$f9(S)).
% 2.13/2.36 0 [] -in(S,$c1)|$f9(S)!=S.
% 2.13/2.36 0 [] -empty($c3).
% 2.13/2.36 0 [] finite($c3).
% 2.13/2.36 0 [] element($f10(A),powerset(A)).
% 2.13/2.36 0 [] empty($f10(A)).
% 2.13/2.36 0 [] relation($f10(A)).
% 2.13/2.36 0 [] function($f10(A)).
% 2.13/2.36 0 [] one_to_one($f10(A)).
% 2.13/2.36 0 [] epsilon_transitive($f10(A)).
% 2.13/2.36 0 [] epsilon_connected($f10(A)).
% 2.13/2.36 0 [] ordinal($f10(A)).
% 2.13/2.36 0 [] natural($f10(A)).
% 2.13/2.36 0 [] finite($f10(A)).
% 2.13/2.36 0 [] empty(A)|element($f11(A),powerset(A)).
% 2.13/2.36 0 [] empty(A)| -empty($f11(A)).
% 2.13/2.36 0 [] empty(A)|finite($f11(A)).
% 2.13/2.36 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.13/2.36 0 [] -empty(A)|finite(A).
% 2.13/2.36 0 [] relation($c4).
% 2.13/2.36 0 [] function($c4).
% 2.13/2.36 0 [] -empty(A)|function(A).
% 2.13/2.36 0 [] relation($c5).
% 2.13/2.36 0 [] empty($c5).
% 2.13/2.36 0 [] function($c5).
% 2.13/2.36 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.13/2.36 0 [] relation($c6).
% 2.13/2.36 0 [] function($c6).
% 2.13/2.36 0 [] one_to_one($c6).
% 2.13/2.36 0 [] relation($c7).
% 2.13/2.36 0 [] relation_empty_yielding($c7).
% 2.13/2.36 0 [] function($c7).
% 2.13/2.36 0 [] epsilon_transitive($c8).
% 2.13/2.36 0 [] epsilon_connected($c8).
% 2.13/2.36 0 [] ordinal($c8).
% 2.13/2.36 0 [] being_limit_ordinal($c8).
% 2.13/2.36 0 [] empty($c9).
% 2.13/2.36 0 [] relation($c9).
% 2.13/2.36 0 [] -empty(A)|relation(A).
% 2.13/2.36 0 [] -empty($c10).
% 2.13/2.36 0 [] relation($c10).
% 2.13/2.36 0 [] relation($c11).
% 2.13/2.36 0 [] relation_empty_yielding($c11).
% 2.13/2.36 0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 2.13/2.36 0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 2.13/2.36 0 [] -empty(A)| -ordinal(A)|natural(A).
% 2.13/2.36 0 [] -empty($c12).
% 2.13/2.36 0 [] epsilon_transitive($c12).
% 2.13/2.36 0 [] epsilon_connected($c12).
% 2.13/2.36 0 [] ordinal($c12).
% 2.13/2.36 0 [] natural($c12).
% 2.13/2.36 0 [] -ordinal(A)| -natural(A)| -empty(succ(A)).
% 2.13/2.36 0 [] -ordinal(A)| -natural(A)|epsilon_transitive(succ(A)).
% 2.13/2.36 0 [] -ordinal(A)| -natural(A)|epsilon_connected(succ(A)).
% 2.13/2.36 0 [] -ordinal(A)| -natural(A)|ordinal(succ(A)).
% 2.13/2.36 0 [] -ordinal(A)| -natural(A)|natural(succ(A)).
% 2.13/2.36 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.13/2.36 0 [] epsilon_transitive($c13).
% 2.13/2.36 0 [] epsilon_connected($c13).
% 2.13/2.36 0 [] ordinal($c13).
% 2.13/2.36 0 [] relation($c14).
% 2.13/2.36 0 [] function($c14).
% 2.13/2.36 0 [] one_to_one($c14).
% 2.13/2.36 0 [] empty($c14).
% 2.13/2.36 0 [] epsilon_transitive($c14).
% 2.13/2.36 0 [] epsilon_connected($c14).
% 2.13/2.36 0 [] ordinal($c14).
% 2.13/2.36 0 [] -empty(A)|epsilon_transitive(A).
% 2.13/2.36 0 [] -empty(A)|epsilon_connected(A).
% 2.13/2.36 0 [] -empty(A)|ordinal(A).
% 2.13/2.36 0 [] -empty($c15).
% 2.13/2.36 0 [] epsilon_transitive($c15).
% 2.13/2.36 0 [] epsilon_connected($c15).
% 2.13/2.36 0 [] ordinal($c15).
% 2.13/2.36 0 [] empty(A)|element($f12(A),powerset(A)).
% 2.13/2.36 0 [] empty(A)| -empty($f12(A)).
% 2.13/2.36 0 [] element($f13(A),powerset(A)).
% 2.13/2.36 0 [] empty($f13(A)).
% 2.13/2.36 0 [] empty($c16).
% 2.13/2.36 0 [] -empty($c17).
% 2.13/2.36 0 [] subset(A,A).
% 2.13/2.36 0 [] -in(A,B)| -in(B,A).
% 2.13/2.36 0 [] $T.
% 2.13/2.36 0 [] $T.
% 2.13/2.36 0 [] $T.
% 2.13/2.36 0 [] $T.
% 2.13/2.36 0 [] $T.
% 2.13/2.36 0 [] epsilon_transitive(omega).
% 2.13/2.36 0 [] epsilon_connected(omega).
% 2.13/2.36 0 [] ordinal(omega).
% 2.13/2.36 0 [] -empty(omega).
% 2.13/2.36 0 [] empty(empty_set).
% 2.13/2.36 0 [] relation(empty_set).
% 2.13/2.36 0 [] empty(empty_set).
% 2.13/2.36 0 [] relation(empty_set).
% 2.13/2.36 0 [] relation_empty_yielding(empty_set).
% 2.13/2.36 0 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 2.13/2.36 0 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 2.13/2.36 0 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 2.13/2.36 0 [] -element(A,omega)|epsilon_transitive(A).
% 2.13/2.36 0 [] -element(A,omega)|epsilon_connected(A).
% 2.13/2.36 0 [] -element(A,omega)|ordinal(A).
% 2.13/2.36 0 [] -element(A,omega)|natural(A).
% 2.13/2.36 0 [] -empty(succ(A)).
% 2.13/2.36 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.13/2.36 0 [] -ordinal(A)|epsilon_connected(A).
% 2.13/2.36 0 [] relation(empty_set).
% 2.13/2.36 0 [] relation_empty_yielding(empty_set).
% 2.13/2.36 0 [] function(empty_set).
% 2.13/2.36 0 [] one_to_one(empty_set).
% 2.13/2.36 0 [] empty(empty_set).
% 2.13/2.36 0 [] epsilon_transitive(empty_set).
% 2.13/2.36 0 [] epsilon_connected(empty_set).
% 2.13/2.36 0 [] ordinal(empty_set).
% 2.13/2.36 0 [] -ordinal(A)| -empty(succ(A)).
% 2.13/2.36 0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 2.13/2.36 0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 2.13/2.36 0 [] -ordinal(A)|ordinal(succ(A)).
% 2.13/2.36 0 [] -empty(powerset(A)).
% 2.13/2.36 0 [] empty(empty_set).
% 2.13/2.36 0 [] ordinal($c19)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] ordinal($c19)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] -ordinal(B)| -in(B,$c19)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set|in($f14(B,C),C)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] -ordinal(B)| -in(B,$c19)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set|in($f14(B,C),C)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] -ordinal(B)| -in(B,$c19)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set| -in(E,C)| -subset($f14(B,C),E)|E=$f14(B,C)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] -ordinal(B)| -in(B,$c19)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set| -in(E,C)| -subset($f14(B,C),E)|E=$f14(B,C)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] in($c19,omega)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] in($c19,omega)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] element($c18,powerset(powerset($c19)))| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] element($c18,powerset(powerset($c19)))| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] $c18!=empty_set| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] $c18!=empty_set| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] -in(G,$c18)|in($f15(G),$c18)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] -in(G,$c18)|in($f15(G),$c18)| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] -in(G,$c18)|subset(G,$f15(G))| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] -in(G,$c18)|subset(G,$f15(G))| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] -in(G,$c18)|$f15(G)!=G| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set|in($f16(A,I),I).
% 2.13/2.36 0 [] -in(G,$c18)|$f15(G)!=G| -ordinal(A)| -in(A,omega)| -element(I,powerset(powerset(A)))|I=empty_set| -in(K,I)| -subset($f16(A,I),K)|K=$f16(A,I).
% 2.13/2.36 0 [] set_union2(A,B)=set_union2(B,A).
% 2.13/2.36 0 [] succ(A)=set_union2(A,singleton(A)).
% 2.13/2.36 0 [] $T.
% 2.13/2.36 0 [] $T.
% 2.13/2.36 0 [] element($f17(A),A).
% 2.13/2.36 0 [] -empty(singleton(A)).
% 2.13/2.36 0 [] empty(A)| -empty(set_union2(A,B)).
% 2.13/2.36 0 [] empty(A)| -empty(set_union2(B,A)).
% 2.13/2.36 0 [] set_union2(A,A)=A.
% 2.13/2.36 0 [] in(A,succ(A)).
% 2.13/2.36 0 [] set_union2(A,empty_set)=A.
% 2.13/2.36 0 [] -in(A,B)|element(A,B).
% 2.13/2.36 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.13/2.36 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f18(A)).
% 2.13/2.36 0 [] -ordinal(A)|being_limit_ordinal(A)|A=succ($f18(A)).
% 2.13/2.36 0 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 2.13/2.36 0 [] -empty(A)|A=empty_set.
% 2.13/2.36 0 [] -in(A,B)| -empty(B).
% 2.13/2.36 0 [] -empty(A)|A=B| -empty(B).
% 2.13/2.36 end_of_list.
% 2.13/2.36
% 2.13/2.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=15.
% 2.13/2.36
% 2.13/2.36 This ia a non-Horn set with equality. The strategy will be
% 2.13/2.36 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.13/2.36 deletion, with positive clauses in sos and nonpositive
% 2.13/2.36 clauses in usable.
% 2.13/2.36
% 2.13/2.36 dependent: set(knuth_bendix).
% 2.13/2.36 dependent: set(anl_eq).
% 2.13/2.36 dependent: set(para_from).
% 2.13/2.36 dependent: set(para_into).
% 2.13/2.36 dependent: clear(para_from_right).
% 2.13/2.36 dependent: clear(para_into_right).
% 2.13/2.36 dependent: set(para_from_vars).
% 2.13/2.36 dependent: set(eq_units_both_ways).
% 2.13/2.36 dependent: set(dynamic_demod_all).
% 2.13/2.36 dependent: set(dynamic_demod).
% 2.13/2.36 dependent: set(order_eq).
% 2.13/2.36 dependent: set(back_demod).
% 2.13/2.36 dependent: set(lrpo).
% 2.13/2.36 dependent: set(hyper_res).
% 2.13/2.36 dependent: set(unit_deletion).
% 2.13/2.36 dependent: set(factor).
% 2.13/2.36
% 2.13/2.36 ------------> process usable:
% 2.13/2.36 ** KEPT (pick-wt=15): 1 [] -in(empty_set,omega)| -element(A,powerset(powerset(empty_set)))|A=empty_set|in($f1(A),A).
% 2.13/2.36 ** KEPT (pick-wt=22): 2 [] -in(empty_set,omega)| -element(A,powerset(powerset(empty_set)))|A=empty_set| -in(B,A)| -subset($f1(A),B)|B=$f1(A).
% 2.13/2.36 ** KEPT (pick-wt=23): 3 [] -ordinal(A)|in(A,omega)| -in(succ(A),omega)| -element(B,powerset(powerset(succ(A))))|B=empty_set|in($f4(A,B),B).
% 2.13/2.36 ** KEPT (pick-wt=31): 4 [] -ordinal(A)|in(A,omega)| -in(succ(A),omega)| -element(B,powerset(powerset(succ(A))))|B=empty_set| -in(C,B)| -subset($f4(A,B),C)|C=$f4(A,B).
% 2.13/2.36 ** KEPT (pick-wt=26): 5 [] -ordinal(A)|element($f3(A),powerset(powerset(A)))| -in(succ(A),omega)| -element(B,powerset(powerset(succ(A))))|B=empty_set|in($f4(A,B),B).
% 2.13/2.36 ** KEPT (pick-wt=34): 6 [] -ordinal(A)|element($f3(A),powerset(powerset(A)))| -in(succ(A),omega)| -element(B,powerset(powerset(succ(A))))|B=empty_set| -in(C,B)| -subset($f4(A,B),C)|C=$f4(A,B).
% 2.13/2.36 ** KEPT (pick-wt=24): 7 [] -ordinal(A)|$f3(A)!=empty_set| -in(succ(A),omega)| -element(B,powerset(powerset(succ(A))))|B=empty_set|in($f4(A,B),B).
% 2.13/2.36 ** KEPT (pick-wt=32): 8 [] -ordinal(A)|$f3(A)!=empty_set| -in(succ(A),omega)| -element(B,powerset(powerset(succ(A))))|B=empty_set| -in(C,B)| -subset($f4(A,B),C)|C=$f4(A,B).
% 2.13/2.36 ** KEPT (pick-wt=30): 9 [] -ordinal(A)| -in(B,$f3(A))|in($f2(A,B),$f3(A))| -in(succ(A),omega)| -element(C,powerset(powerset(succ(A))))|C=empty_set|in($f4(A,C),C).
% 2.13/2.36 ** KEPT (pick-wt=38): 10 [] -ordinal(A)| -in(B,$f3(A))|in($f2(A,B),$f3(A))| -in(succ(A),omega)| -element(C,powerset(powerset(succ(A))))|C=empty_set| -in(D,C)| -subset($f4(A,C),D)|D=$f4(A,C).
% 2.13/2.36 ** KEPT (pick-wt=29): 11 [] -ordinal(A)| -in(B,$f3(A))|subset(B,$f2(A,B))| -in(succ(A),omega)| -element(C,powerset(powerset(succ(A))))|C=empty_set|in($f4(A,C),C).
% 2.13/2.36 ** KEPT (pick-wt=37): 12 [] -ordinal(A)| -in(B,$f3(A))|subset(B,$f2(A,B))| -in(succ(A),omega)| -element(C,powerset(powerset(succ(A))))|C=empty_set| -in(D,C)| -subset($f4(A,C),D)|D=$f4(A,C).
% 2.13/2.36 ** KEPT (pick-wt=29): 13 [] -ordinal(A)| -in(B,$f3(A))|$f2(A,B)!=B| -in(succ(A),omega)| -element(C,powerset(powerset(succ(A))))|C=empty_set|in($f4(A,C),C).
% 2.13/2.36 ** KEPT (pick-wt=37): 14 [] -ordinal(A)| -in(B,$f3(A))|$f2(A,B)!=B| -in(succ(A),omega)| -element(C,powerset(powerset(succ(A))))|C=empty_set| -in(D,C)| -subset($f4(A,C),D)|D=$f4(A,C).
% 2.13/2.36 ** KEPT (pick-wt=26): 15 [] -ordinal(A)| -being_limit_ordinal(A)|ordinal($f7(A))|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f8(A,B),B).
% 2.13/2.36 ** KEPT (pick-wt=34): 16 [] -ordinal(A)| -being_limit_ordinal(A)|ordinal($f7(A))|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f8(A,B),C)|C=$f8(A,B).
% 2.13/2.36 ** KEPT (pick-wt=27): 17 [] -ordinal(A)| -being_limit_ordinal(A)|in($f7(A),A)|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f8(A,B),B).
% 2.13/2.36 ** KEPT (pick-wt=35): 18 [] -ordinal(A)| -being_limit_ordinal(A)|in($f7(A),A)|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f8(A,B),C)|C=$f8(A,B).
% 2.13/2.36 ** KEPT (pick-wt=27): 19 [] -ordinal(A)| -being_limit_ordinal(A)|in($f7(A),omega)|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f8(A,B),B).
% 2.13/2.36 ** KEPT (pick-wt=35): 20 [] -ordinal(A)| -being_limit_ordinal(A)|in($f7(A),omega)|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f8(A,B),C)|C=$f8(A,B).
% 2.13/2.36 ** KEPT (pick-wt=30): 21 [] -ordinal(A)| -being_limit_ordinal(A)|element($f6(A),powerset(powerset($f7(A))))|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f8(A,B),B).
% 2.13/2.36 ** KEPT (pick-wt=38): 22 [] -ordinal(A)| -being_limit_ordinal(A)|element($f6(A),powerset(powerset($f7(A))))|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f8(A,B),C)|C=$f8(A,B).
% 2.13/2.36 ** KEPT (pick-wt=27): 23 [] -ordinal(A)| -being_limit_ordinal(A)|$f6(A)!=empty_set|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f8(A,B),B).
% 2.13/2.36 ** KEPT (pick-wt=35): 24 [] -ordinal(A)| -being_limit_ordinal(A)|$f6(A)!=empty_set|A=empty_set| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f8(A,B),C)|C=$f8(A,B).
% 2.13/2.36 ** KEPT (pick-wt=33): 25 [] -ordinal(A)| -being_limit_ordinal(A)| -in(B,$f6(A))|in($f5(A,B),$f6(A))|A=empty_set| -in(A,omega)| -element(C,powerset(powerset(A)))|C=empty_set|in($f8(A,C),C).
% 2.13/2.36 ** KEPT (pick-wt=41): 26 [] -ordinal(A)| -being_limit_ordinal(A)| -in(B,$f6(A))|in($f5(A,B),$f6(A))|A=empty_set| -in(A,omega)| -element(C,powerset(powerset(A)))|C=empty_set| -in(D,C)| -subset($f8(A,C),D)|D=$f8(A,C).
% 2.13/2.36 ** KEPT (pick-wt=32): 27 [] -ordinal(A)| -being_limit_ordinal(A)| -in(B,$f6(A))|subset(B,$f5(A,B))|A=empty_set| -in(A,omega)| -element(C,powerset(powerset(A)))|C=empty_set|in($f8(A,C),C).
% 2.13/2.36 ** KEPT (pick-wt=40): 28 [] -ordinal(A)| -being_limit_ordinal(A)| -in(B,$f6(A))|subset(B,$f5(A,B))|A=empty_set| -in(A,omega)| -element(C,powerset(powerset(A)))|C=empty_set| -in(D,C)| -subset($f8(A,C),D)|D=$f8(A,C).
% 2.13/2.36 ** KEPT (pick-wt=32): 29 [] -ordinal(A)| -being_limit_ordinal(A)| -in(B,$f6(A))|$f5(A,B)!=B|A=empty_set| -in(A,omega)| -element(C,powerset(powerset(A)))|C=empty_set|in($f8(A,C),C).
% 2.13/2.36 ** KEPT (pick-wt=40): 30 [] -ordinal(A)| -being_limit_ordinal(A)| -in(B,$f6(A))|$f5(A,B)!=B|A=empty_set| -in(A,omega)| -element(C,powerset(powerset(A)))|C=empty_set| -in(D,C)| -subset($f8(A,C),D)|D=$f8(A,C).
% 2.13/2.36 ** KEPT (pick-wt=3): 32 [copy,31,flip.1] empty_set!=$c1.
% 2.13/2.36 ** KEPT (pick-wt=7): 33 [] -in(A,$c1)|in($f9(A),$c1).
% 2.13/2.36 ** KEPT (pick-wt=7): 34 [] -in(A,$c1)|subset(A,$f9(A)).
% 2.13/2.36 ** KEPT (pick-wt=7): 35 [] -in(A,$c1)|$f9(A)!=A.
% 2.13/2.36 ** KEPT (pick-wt=2): 36 [] -empty($c3).
% 2.13/2.36 ** KEPT (pick-wt=5): 37 [] empty(A)| -empty($f11(A)).
% 2.13/2.36 ** KEPT (pick-wt=8): 38 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.13/2.36 ** KEPT (pick-wt=4): 39 [] -empty(A)|finite(A).
% 2.13/2.36 ** KEPT (pick-wt=4): 40 [] -empty(A)|function(A).
% 2.13/2.36 ** KEPT (pick-wt=8): 41 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.13/2.36 ** KEPT (pick-wt=4): 42 [] -empty(A)|relation(A).
% 2.13/2.36 ** KEPT (pick-wt=2): 43 [] -empty($c10).
% 2.13/2.36 ** KEPT (pick-wt=6): 44 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 2.13/2.36 ** KEPT (pick-wt=6): 45 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 2.13/2.36 ** KEPT (pick-wt=6): 46 [] -empty(A)| -ordinal(A)|natural(A).
% 2.13/2.36 ** KEPT (pick-wt=2): 47 [] -empty($c12).
% 2.13/2.36 ** KEPT (pick-wt=7): 48 [] -ordinal(A)| -natural(A)| -empty(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=7): 49 [] -ordinal(A)| -natural(A)|epsilon_transitive(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=7): 50 [] -ordinal(A)| -natural(A)|epsilon_connected(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=7): 51 [] -ordinal(A)| -natural(A)|ordinal(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=7): 52 [] -ordinal(A)| -natural(A)|natural(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=6): 53 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.24/2.44 ** KEPT (pick-wt=4): 54 [] -empty(A)|epsilon_transitive(A).
% 2.24/2.44 ** KEPT (pick-wt=4): 55 [] -empty(A)|epsilon_connected(A).
% 2.24/2.44 ** KEPT (pick-wt=4): 56 [] -empty(A)|ordinal(A).
% 2.24/2.44 ** KEPT (pick-wt=2): 57 [] -empty($c15).
% 2.24/2.44 ** KEPT (pick-wt=5): 58 [] empty(A)| -empty($f12(A)).
% 2.24/2.44 ** KEPT (pick-wt=2): 59 [] -empty($c17).
% 2.24/2.44 ** KEPT (pick-wt=6): 60 [] -in(A,B)| -in(B,A).
% 2.24/2.44 ** KEPT (pick-wt=2): 61 [] -empty(omega).
% 2.24/2.44 ** KEPT (pick-wt=7): 62 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 2.24/2.44 ** KEPT (pick-wt=7): 63 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 2.24/2.44 ** KEPT (pick-wt=7): 64 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 2.24/2.44 ** KEPT (pick-wt=5): 65 [] -element(A,omega)|epsilon_transitive(A).
% 2.24/2.44 ** KEPT (pick-wt=5): 66 [] -element(A,omega)|epsilon_connected(A).
% 2.24/2.44 ** KEPT (pick-wt=5): 67 [] -element(A,omega)|ordinal(A).
% 2.24/2.44 ** KEPT (pick-wt=5): 68 [] -element(A,omega)|natural(A).
% 2.24/2.44 ** KEPT (pick-wt=3): 69 [] -empty(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=4): 70 [] -ordinal(A)|epsilon_transitive(A).
% 2.24/2.44 ** KEPT (pick-wt=4): 71 [] -ordinal(A)|epsilon_connected(A).
% 2.24/2.44 Following clause subsumed by 69 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=5): 72 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=5): 73 [] -ordinal(A)|epsilon_connected(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=5): 74 [] -ordinal(A)|ordinal(succ(A)).
% 2.24/2.44 ** KEPT (pick-wt=3): 75 [] -empty(powerset(A)).
% 2.24/2.44 ** KEPT (pick-wt=20): 76 [] ordinal($c19)| -ordinal(A)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f16(A,B),B).
% 2.24/2.44 ** KEPT (pick-wt=28): 77 [] ordinal($c19)| -ordinal(A)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f16(A,B),C)|C=$f16(A,B).
% 2.24/2.44 ** KEPT (pick-wt=39): 78 [] -ordinal(A)| -in(A,$c19)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f14(A,B),B)| -ordinal(C)| -in(C,omega)| -element(D,powerset(powerset(C)))|D=empty_set|in($f16(C,D),D).
% 2.24/2.44 ** KEPT (pick-wt=47): 79 [] -ordinal(A)| -in(A,$c19)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f14(A,B),B)| -ordinal(C)| -in(C,omega)| -element(D,powerset(powerset(C)))|D=empty_set| -in(E,D)| -subset($f16(C,D),E)|E=$f16(C,D).
% 2.24/2.44 ** KEPT (pick-wt=47): 80 [] -ordinal(A)| -in(A,$c19)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f14(A,B),C)|C=$f14(A,B)| -ordinal(D)| -in(D,omega)| -element(E,powerset(powerset(D)))|E=empty_set|in($f16(D,E),E).
% 2.24/2.44 ** KEPT (pick-wt=55): 81 [] -ordinal(A)| -in(A,$c19)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f14(A,B),C)|C=$f14(A,B)| -ordinal(D)| -in(D,omega)| -element(E,powerset(powerset(D)))|E=empty_set| -in(F,E)| -subset($f16(D,E),F)|F=$f16(D,E).
% 2.24/2.44 ** KEPT (pick-wt=21): 82 [] in($c19,omega)| -ordinal(A)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f16(A,B),B).
% 2.24/2.44 ** KEPT (pick-wt=29): 83 [] in($c19,omega)| -ordinal(A)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f16(A,B),C)|C=$f16(A,B).
% 2.24/2.44 ** KEPT (pick-wt=23): 84 [] element($c18,powerset(powerset($c19)))| -ordinal(A)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f16(A,B),B).
% 2.24/2.44 ** KEPT (pick-wt=31): 85 [] element($c18,powerset(powerset($c19)))| -ordinal(A)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f16(A,B),C)|C=$f16(A,B).
% 2.24/2.44 ** KEPT (pick-wt=21): 87 [copy,86,flip.1] empty_set!=$c18| -ordinal(A)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set|in($f16(A,B),B).
% 2.24/2.44 ** KEPT (pick-wt=29): 89 [copy,88,flip.1] empty_set!=$c18| -ordinal(A)| -in(A,omega)| -element(B,powerset(powerset(A)))|B=empty_set| -in(C,B)| -subset($f16(A,B),C)|C=$f16(A,B).
% 2.24/2.44 ** KEPT (pick-wt=25): 90 [] -in(A,$c18)|in($f15(A),$c18)| -ordinal(B)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set|in($f16(B,C),C).
% 2.24/2.45 ** KEPT (pick-wt=33): 91 [] -in(A,$c18)|in($f15(A),$c18)| -ordinal(B)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set| -in(D,C)| -subset($f16(B,C),D)|D=$f16(B,C).
% 2.24/2.45 ** KEPT (pick-wt=25): 92 [] -in(A,$c18)|subset(A,$f15(A))| -ordinal(B)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set|in($f16(B,C),C).
% 2.24/2.45 ** KEPT (pick-wt=33): 93 [] -in(A,$c18)|subset(A,$f15(A))| -ordinal(B)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set| -in(D,C)| -subset($f16(B,C),D)|D=$f16(B,C).
% 2.24/2.45 ** KEPT (pick-wt=25): 94 [] -in(A,$c18)|$f15(A)!=A| -ordinal(B)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set|in($f16(B,C),C).
% 2.24/2.45 ** KEPT (pick-wt=33): 95 [] -in(A,$c18)|$f15(A)!=A| -ordinal(B)| -in(B,omega)| -element(C,powerset(powerset(B)))|C=empty_set| -in(D,C)| -subset($f16(B,C),D)|D=$f16(B,C).
% 2.24/2.45 ** KEPT (pick-wt=3): 96 [] -empty(singleton(A)).
% 2.24/2.45 ** KEPT (pick-wt=6): 97 [] empty(A)| -empty(set_union2(A,B)).
% 2.24/2.45 ** KEPT (pick-wt=6): 98 [] empty(A)| -empty(set_union2(B,A)).
% 2.24/2.45 ** KEPT (pick-wt=6): 99 [] -in(A,B)|element(A,B).
% 2.24/2.45 ** KEPT (pick-wt=8): 100 [] -element(A,B)|empty(B)|in(A,B).
% 2.24/2.45 ** KEPT (pick-wt=7): 101 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f18(A)).
% 2.24/2.45 ** KEPT (pick-wt=9): 103 [copy,102,flip.3] -ordinal(A)|being_limit_ordinal(A)|succ($f18(A))=A.
% 2.24/2.45 ** KEPT (pick-wt=10): 104 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 2.24/2.45 ** KEPT (pick-wt=5): 105 [] -empty(A)|A=empty_set.
% 2.24/2.45 ** KEPT (pick-wt=5): 106 [] -in(A,B)| -empty(B).
% 2.24/2.45 ** KEPT (pick-wt=7): 107 [] -empty(A)|A=B| -empty(B).
% 2.24/2.45 54 back subsumes 44.
% 2.24/2.45 55 back subsumes 45.
% 2.24/2.45 69 back subsumes 48.
% 2.24/2.45 72 back subsumes 49.
% 2.24/2.45 73 back subsumes 50.
% 2.24/2.45 74 back subsumes 51.
% 2.24/2.45
% 2.24/2.45 ------------> process sos:
% 2.24/2.45 ** KEPT (pick-wt=3): 245 [] A=A.
% 2.24/2.45 ** KEPT (pick-wt=2): 246 [] ordinal($c2).
% 2.24/2.45 ** KEPT (pick-wt=3): 247 [] in($c2,omega).
% 2.24/2.45 ** KEPT (pick-wt=5): 248 [] element($c1,powerset(powerset($c2))).
% 2.24/2.45 ** KEPT (pick-wt=2): 249 [] finite($c3).
% 2.24/2.45 ** KEPT (pick-wt=5): 250 [] element($f10(A),powerset(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 251 [] empty($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 252 [] relation($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 253 [] function($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 254 [] one_to_one($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 255 [] epsilon_transitive($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 256 [] epsilon_connected($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 257 [] ordinal($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 258 [] natural($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=3): 259 [] finite($f10(A)).
% 2.24/2.45 ** KEPT (pick-wt=7): 260 [] empty(A)|element($f11(A),powerset(A)).
% 2.24/2.45 ** KEPT (pick-wt=5): 261 [] empty(A)|finite($f11(A)).
% 2.24/2.45 ** KEPT (pick-wt=2): 262 [] relation($c4).
% 2.24/2.45 ** KEPT (pick-wt=2): 263 [] function($c4).
% 2.24/2.45 ** KEPT (pick-wt=2): 264 [] relation($c5).
% 2.24/2.45 ** KEPT (pick-wt=2): 265 [] empty($c5).
% 2.24/2.45 ** KEPT (pick-wt=2): 266 [] function($c5).
% 2.24/2.45 ** KEPT (pick-wt=2): 267 [] relation($c6).
% 2.24/2.45 ** KEPT (pick-wt=2): 268 [] function($c6).
% 2.24/2.45 ** KEPT (pick-wt=2): 269 [] one_to_one($c6).
% 2.24/2.45 ** KEPT (pick-wt=2): 270 [] relation($c7).
% 2.24/2.45 ** KEPT (pick-wt=2): 271 [] relation_empty_yielding($c7).
% 2.24/2.45 ** KEPT (pick-wt=2): 272 [] function($c7).
% 2.24/2.45 ** KEPT (pick-wt=2): 273 [] epsilon_transitive($c8).
% 2.24/2.45 ** KEPT (pick-wt=2): 274 [] epsilon_connected($c8).
% 2.24/2.45 ** KEPT (pick-wt=2): 275 [] ordinal($c8).
% 2.24/2.45 ** KEPT (pick-wt=2): 276 [] being_limit_ordinal($c8).
% 2.24/2.45 ** KEPT (pick-wt=2): 277 [] empty($c9).
% 2.24/2.45 ** KEPT (pick-wt=2): 278 [] relation($c9).
% 2.24/2.45 ** KEPT (pick-wt=2): 279 [] relation($c10).
% 2.24/2.45 ** KEPT (pick-wt=2): 280 [] relation($c11).
% 2.24/2.45 ** KEPT (pick-wt=2): 281 [] relation_empty_yielding($c11).
% 2.24/2.45 ** KEPT (pick-wt=2): 282 [] epsilon_transitive($c12).
% 2.24/2.45 ** KEPT (pick-wt=2): 283 [] epsilon_connected($c12).
% 2.24/2.45 ** KEPT (pick-wt=2): 284 [] ordinal($c12).
% 2.24/2.45 ** KEPT (pick-wt=2): 285 [] natural($c12).
% 2.24/2.45 ** KEPT (pick-wt=2): 286 [] epsilon_transitive($c13).
% 2.24/2.45 ** KEPT (pick-wt=2): 287 [] epsilon_connected($c13).
% 2.24/2.45 ** KEPT (pick-wt=2): 288 [] ordinal($c13).
% 2.24/2.45 ** KEPT (pick-wt=2): 289 [] relation($c14).
% 2.24/2.45 ** KEPT (pick-wt=2): 290 [] function($c14).
% 2.24/2.45 ** KEPT (pick-wt=2): 291 [] one_to_one($c14).
% 2.24/2.45 ** KEPT (pick-wt=2): 292 [] empty($c14).
% 2.24/2.45 ** KEPT (pick-wt=2): 293 [] epsilon_transitive($c14).
% 3.72/3.88 ** KEPT (pick-wt=2): 294 [] epsilon_connected($c14).
% 3.72/3.88 ** KEPT (pick-wt=2): 295 [] ordinal($c14).
% 3.72/3.88 ** KEPT (pick-wt=2): 296 [] epsilon_transitive($c15).
% 3.72/3.88 ** KEPT (pick-wt=2): 297 [] epsilon_connected($c15).
% 3.72/3.88 ** KEPT (pick-wt=2): 298 [] ordinal($c15).
% 3.72/3.88 ** KEPT (pick-wt=7): 299 [] empty(A)|element($f12(A),powerset(A)).
% 3.72/3.88 ** KEPT (pick-wt=5): 300 [] element($f13(A),powerset(A)).
% 3.72/3.88 ** KEPT (pick-wt=3): 301 [] empty($f13(A)).
% 3.72/3.88 ** KEPT (pick-wt=2): 302 [] empty($c16).
% 3.72/3.88 ** KEPT (pick-wt=3): 303 [] subset(A,A).
% 3.72/3.88 ** KEPT (pick-wt=2): 304 [] epsilon_transitive(omega).
% 3.72/3.88 ** KEPT (pick-wt=2): 305 [] epsilon_connected(omega).
% 3.72/3.88 ** KEPT (pick-wt=2): 306 [] ordinal(omega).
% 3.72/3.88 ** KEPT (pick-wt=2): 307 [] empty(empty_set).
% 3.72/3.88 ** KEPT (pick-wt=2): 308 [] relation(empty_set).
% 3.72/3.88 Following clause subsumed by 307 during input processing: 0 [] empty(empty_set).
% 3.72/3.88 Following clause subsumed by 308 during input processing: 0 [] relation(empty_set).
% 3.72/3.88 ** KEPT (pick-wt=2): 309 [] relation_empty_yielding(empty_set).
% 3.72/3.88 Following clause subsumed by 308 during input processing: 0 [] relation(empty_set).
% 3.72/3.88 Following clause subsumed by 309 during input processing: 0 [] relation_empty_yielding(empty_set).
% 3.72/3.88 ** KEPT (pick-wt=2): 310 [] function(empty_set).
% 3.72/3.88 ** KEPT (pick-wt=2): 311 [] one_to_one(empty_set).
% 3.72/3.88 Following clause subsumed by 307 during input processing: 0 [] empty(empty_set).
% 3.72/3.88 ** KEPT (pick-wt=2): 312 [] epsilon_transitive(empty_set).
% 3.72/3.88 ** KEPT (pick-wt=2): 313 [] epsilon_connected(empty_set).
% 3.72/3.88 ** KEPT (pick-wt=2): 314 [] ordinal(empty_set).
% 3.72/3.88 Following clause subsumed by 307 during input processing: 0 [] empty(empty_set).
% 3.72/3.88 ** KEPT (pick-wt=7): 315 [] set_union2(A,B)=set_union2(B,A).
% 3.72/3.88 ** KEPT (pick-wt=7): 316 [] succ(A)=set_union2(A,singleton(A)).
% 3.72/3.88 ---> New Demodulator: 317 [new_demod,316] succ(A)=set_union2(A,singleton(A)).
% 3.72/3.88 ** KEPT (pick-wt=4): 318 [] element($f17(A),A).
% 3.72/3.88 ** KEPT (pick-wt=5): 319 [] set_union2(A,A)=A.
% 3.72/3.88 ---> New Demodulator: 320 [new_demod,319] set_union2(A,A)=A.
% 3.72/3.88 ** KEPT (pick-wt=6): 322 [copy,321,demod,317] in(A,set_union2(A,singleton(A))).
% 3.72/3.88 ** KEPT (pick-wt=5): 323 [] set_union2(A,empty_set)=A.
% 3.72/3.88 ---> New Demodulator: 324 [new_demod,323] set_union2(A,empty_set)=A.
% 3.72/3.88 Following clause subsumed by 245 during input processing: 0 [copy,245,flip.1] A=A.
% 3.72/3.88 245 back subsumes 182.
% 3.72/3.88 Following clause subsumed by 315 during input processing: 0 [copy,315,flip.1] set_union2(A,B)=set_union2(B,A).
% 3.72/3.88 >>>> Starting back demodulation with 317.
% 3.72/3.88 >> back demodulating 181 with 317.
% 3.72/3.88 >> back demodulating 117 with 317.
% 3.72/3.88 >> back demodulating 116 with 317.
% 3.72/3.88 >> back demodulating 115 with 317.
% 3.72/3.88 >> back demodulating 114 with 317.
% 3.72/3.88 >> back demodulating 113 with 317.
% 3.72/3.88 >> back demodulating 112 with 317.
% 3.72/3.88 >> back demodulating 111 with 317.
% 3.72/3.88 >> back demodulating 110 with 317.
% 3.72/3.88 >> back demodulating 109 with 317.
% 3.72/3.88 >> back demodulating 104 with 317.
% 3.72/3.88 >> back demodulating 103 with 317.
% 3.72/3.88 >> back demodulating 74 with 317.
% 3.72/3.88 >> back demodulating 73 with 317.
% 3.72/3.88 >> back demodulating 72 with 317.
% 3.72/3.88 >> back demodulating 69 with 317.
% 3.72/3.88 >> back demodulating 52 with 317.
% 3.72/3.88 >> back demodulating 14 with 317.
% 3.72/3.88 >> back demodulating 13 with 317.
% 3.72/3.88 >> back demodulating 12 with 317.
% 3.72/3.88 >> back demodulating 11 with 317.
% 3.72/3.88 >> back demodulating 10 with 317.
% 3.72/3.88 >> back demodulating 9 with 317.
% 3.72/3.88 >> back demodulating 8 with 317.
% 3.72/3.88 >> back demodulating 7 with 317.
% 3.72/3.88 >> back demodulating 6 with 317.
% 3.72/3.88 >> back demodulating 5 with 317.
% 3.72/3.88 >> back demodulating 4 with 317.
% 3.72/3.88 >> back demodulating 3 with 317.
% 3.72/3.88 >>>> Starting back demodulation with 320.
% 3.72/3.88 >>>> Starting back demodulation with 324.
% 3.72/3.88
% 3.72/3.88 ======= end of input processing =======
% 3.72/3.88
% 3.72/3.88 =========== start of search ===========
% 3.72/3.88
% 3.72/3.88
% 3.72/3.88 Resetting weight limit to 5.
% 3.72/3.88
% 3.72/3.88
% 3.72/3.88 Resetting weight limit to 5.
% 3.72/3.88
% 3.72/3.88 sos_size=1327
% 3.72/3.88
% 3.72/3.88
% 3.72/3.88 Resetting weight limit to 2.
% 3.72/3.88
% 3.72/3.88
% 3.72/3.88 Resetting weight limit to 2.
% 3.72/3.88
% 3.72/3.88 sos_size=67
% 3.72/3.88
% 3.72/3.88 Search stopped because sos empty.
% 3.72/3.88
% 3.72/3.88
% 3.72/3.88 Search stopped because sos empty.
% 3.72/3.88
% 3.72/3.88 ============ end of search ============
% 3.72/3.88
% 3.72/3.88 -------------- statistics -------------
% 3.72/3.88 clauses given 105
% 3.72/3.88 clauses generated 5255
% 3.72/3.88 clauses kept 1609
% 3.72/3.88 clauses forward subsumed 3093
% 3.72/3.88 clauses back subsumed 7
% 3.72/3.88 Kbytes malloced 4882
% 3.72/3.88
% 3.72/3.88 ----------- times (seconds) -----------
% 3.72/3.88 user CPU time 1.53 (0 hr, 0 min, 1 sec)
% 3.72/3.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.72/3.88 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.72/3.88
% 3.72/3.88 Process 8823 finished Wed Jul 27 07:47:42 2022
% 3.72/3.88 Otter interrupted
% 3.72/3.88 PROOF NOT FOUND
%------------------------------------------------------------------------------