TSTP Solution File: SEU298+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 13:15:31 EDT 2022
% Result : Unknown 35.22s 35.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n021.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 07:49:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.74/1.95 ----- Otter 3.3f, August 2004 -----
% 1.74/1.95 The process was started by sandbox on n021.cluster.edu,
% 1.74/1.95 Wed Jul 27 07:49:53 2022
% 1.74/1.95 The command was "./otter". The process ID is 20956.
% 1.74/1.95
% 1.74/1.95 set(prolog_style_variables).
% 1.74/1.95 set(auto).
% 1.74/1.95 dependent: set(auto1).
% 1.74/1.95 dependent: set(process_input).
% 1.74/1.95 dependent: clear(print_kept).
% 1.74/1.95 dependent: clear(print_new_demod).
% 1.74/1.95 dependent: clear(print_back_demod).
% 1.74/1.95 dependent: clear(print_back_sub).
% 1.74/1.95 dependent: set(control_memory).
% 1.74/1.95 dependent: assign(max_mem, 12000).
% 1.74/1.95 dependent: assign(pick_given_ratio, 4).
% 1.74/1.95 dependent: assign(stats_level, 1).
% 1.74/1.95 dependent: assign(max_seconds, 10800).
% 1.74/1.95 clear(print_given).
% 1.74/1.95
% 1.74/1.95 formula_list(usable).
% 1.74/1.95 all A (A=A).
% 1.74/1.95 -(all A B (ordinal(A)&element(B,powerset(powerset(succ(A))))-> (exists C all D (in(D,C)<->in(D,powerset(A))& (exists E (in(E,B)&D=set_difference(E,singleton(A)))))))).
% 1.74/1.95 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)).
% 1.74/1.95 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.74/1.95 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.74/1.95 exists A (relation(A)&function(A)).
% 1.74/1.95 exists A (relation(A)&empty(A)&function(A)).
% 1.74/1.95 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.74/1.95 exists A (empty(A)&relation(A)).
% 1.74/1.95 all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 1.74/1.95 exists A (-empty(A)&relation(A)).
% 1.74/1.95 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 1.74/1.95 all A (ordinal(A)&natural(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))&natural(succ(A))).
% 1.74/1.95 exists A (-empty(A)&finite(A)).
% 1.74/1.95 all A (empty(A)->finite(A)).
% 1.74/1.95 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 1.74/1.95 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 1.74/1.95 all A B (finite(A)->finite(set_difference(A,B))).
% 1.74/1.95 all A (empty(A)->function(A)).
% 1.74/1.95 all A (empty(A)->relation(A)).
% 1.74/1.95 all A (empty(A)&ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 1.74/1.95 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 1.74/1.95 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.74/1.95 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.74/1.95 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.74/1.95 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.74/1.95 all A exists B (element(B,powerset(A))&empty(B)).
% 1.74/1.95 exists A empty(A).
% 1.74/1.95 exists A (-empty(A)).
% 1.74/1.95 all A B (in(A,B)-> -in(B,A)).
% 1.74/1.95 $T.
% 1.74/1.95 $T.
% 1.74/1.95 $T.
% 1.74/1.95 $T.
% 1.74/1.95 $T.
% 1.74/1.95 all A (-empty(singleton(A))&finite(singleton(A))).
% 1.74/1.95 all A (ordinal(A)-> (all B (element(B,A)->epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)))).
% 1.74/1.95 all A (-empty(succ(A))).
% 1.74/1.95 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 1.74/1.95 all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 1.74/1.95 all A (-empty(powerset(A))).
% 1.74/1.95 all A (-empty(singleton(A))).
% 1.74/1.95 all A B (ordinal(A)&element(B,powerset(powerset(succ(A))))-> ((all C D E (C=D& (exists F (in(F,B)&D=set_difference(F,singleton(A))))&C=E& (exists G (in(G,B)&E=set_difference(G,singleton(A))))->D=E))-> (exists C all D (in(D,C)<-> (exists E (in(E,powerset(A))&E=D& (exists H (in(H,B)&D=set_difference(H,singleton(A)))))))))).
% 1.74/1.95 end_of_list.
% 1.74/1.95
% 1.74/1.95 -------> usable clausifies to:
% 1.74/1.95
% 1.74/1.95 list(usable).
% 1.74/1.95 0 [] A=A.
% 1.74/1.95 0 [] ordinal($c2).
% 1.74/1.95 0 [] element($c1,powerset(powerset(succ($c2)))).
% 1.74/1.95 0 [] in($f2(C),C)|in($f2(C),powerset($c2)).
% 1.74/1.95 0 [] in($f2(C),C)|in($f1(C),$c1).
% 1.74/1.95 0 [] in($f2(C),C)|$f2(C)=set_difference($f1(C),singleton($c2)).
% 1.74/1.95 0 [] -in($f2(C),C)| -in($f2(C),powerset($c2))| -in(E,$c1)|$f2(C)!=set_difference(E,singleton($c2)).
% 1.74/1.95 0 [] element($f3(A),powerset(A)).
% 1.74/1.95 0 [] empty($f3(A)).
% 1.74/1.95 0 [] relation($f3(A)).
% 1.74/1.95 0 [] function($f3(A)).
% 1.74/1.95 0 [] one_to_one($f3(A)).
% 1.74/1.95 0 [] epsilon_transitive($f3(A)).
% 1.74/1.95 0 [] epsilon_connected($f3(A)).
% 1.74/1.95 0 [] ordinal($f3(A)).
% 1.74/1.95 0 [] natural($f3(A)).
% 1.74/1.95 0 [] finite($f3(A)).
% 1.74/1.95 0 [] relation($c3).
% 1.74/1.95 0 [] function($c3).
% 1.74/1.95 0 [] one_to_one($c3).
% 1.74/1.95 0 [] relation($c4).
% 1.74/1.95 0 [] function($c4).
% 1.74/1.95 0 [] one_to_one($c4).
% 1.74/1.95 0 [] empty($c4).
% 1.74/1.95 0 [] epsilon_transitive($c4).
% 1.74/1.95 0 [] epsilon_connected($c4).
% 1.74/1.95 0 [] ordinal($c4).
% 1.74/1.95 0 [] relation($c5).
% 1.74/1.95 0 [] function($c5).
% 1.74/1.95 0 [] relation($c6).
% 1.74/1.95 0 [] empty($c6).
% 1.74/1.95 0 [] function($c6).
% 1.74/1.95 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.74/1.95 0 [] empty($c7).
% 1.74/1.95 0 [] relation($c7).
% 1.74/1.95 0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 1.74/1.95 0 [] -empty($c8).
% 1.74/1.95 0 [] relation($c8).
% 1.74/1.95 0 [] -empty($c9).
% 1.74/1.95 0 [] epsilon_transitive($c9).
% 1.74/1.95 0 [] epsilon_connected($c9).
% 1.74/1.95 0 [] ordinal($c9).
% 1.74/1.95 0 [] natural($c9).
% 1.74/1.95 0 [] -ordinal(A)| -natural(A)| -empty(succ(A)).
% 1.74/1.95 0 [] -ordinal(A)| -natural(A)|epsilon_transitive(succ(A)).
% 1.74/1.95 0 [] -ordinal(A)| -natural(A)|epsilon_connected(succ(A)).
% 1.74/1.95 0 [] -ordinal(A)| -natural(A)|ordinal(succ(A)).
% 1.74/1.95 0 [] -ordinal(A)| -natural(A)|natural(succ(A)).
% 1.74/1.95 0 [] -empty($c10).
% 1.74/1.95 0 [] finite($c10).
% 1.74/1.95 0 [] -empty(A)|finite(A).
% 1.74/1.95 0 [] empty(A)|element($f4(A),powerset(A)).
% 1.74/1.95 0 [] empty(A)| -empty($f4(A)).
% 1.74/1.95 0 [] empty(A)|finite($f4(A)).
% 1.74/1.95 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.74/1.95 0 [] -finite(A)|finite(set_difference(A,B)).
% 1.74/1.95 0 [] -empty(A)|function(A).
% 1.74/1.95 0 [] -empty(A)|relation(A).
% 1.74/1.95 0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 1.74/1.95 0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 1.74/1.95 0 [] -empty(A)| -ordinal(A)|natural(A).
% 1.74/1.95 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.74/1.95 0 [] epsilon_transitive($c11).
% 1.74/1.95 0 [] epsilon_connected($c11).
% 1.74/1.95 0 [] ordinal($c11).
% 1.74/1.95 0 [] -empty(A)|epsilon_transitive(A).
% 1.74/1.95 0 [] -empty(A)|epsilon_connected(A).
% 1.74/1.95 0 [] -empty(A)|ordinal(A).
% 1.74/1.95 0 [] -empty($c12).
% 1.74/1.95 0 [] epsilon_transitive($c12).
% 1.74/1.95 0 [] epsilon_connected($c12).
% 1.74/1.95 0 [] ordinal($c12).
% 1.74/1.95 0 [] empty(A)|element($f5(A),powerset(A)).
% 1.74/1.95 0 [] empty(A)| -empty($f5(A)).
% 1.74/1.95 0 [] element($f6(A),powerset(A)).
% 1.74/1.95 0 [] empty($f6(A)).
% 1.74/1.95 0 [] empty($c13).
% 1.74/1.95 0 [] -empty($c14).
% 1.74/1.95 0 [] -in(A,B)| -in(B,A).
% 1.74/1.95 0 [] $T.
% 1.74/1.95 0 [] $T.
% 1.74/1.95 0 [] $T.
% 1.74/1.95 0 [] $T.
% 1.74/1.95 0 [] $T.
% 1.74/1.95 0 [] -empty(singleton(A)).
% 1.74/1.95 0 [] finite(singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 1.74/1.95 0 [] -empty(succ(A)).
% 1.74/1.95 0 [] -ordinal(A)|epsilon_transitive(A).
% 1.74/1.95 0 [] -ordinal(A)|epsilon_connected(A).
% 1.74/1.95 0 [] -ordinal(A)| -empty(succ(A)).
% 1.74/1.95 0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 1.74/1.95 0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 1.74/1.95 0 [] -ordinal(A)|ordinal(succ(A)).
% 1.74/1.95 0 [] -empty(powerset(A)).
% 1.74/1.95 0 [] -empty(singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)| -in(D,$f14(A,B))|in($f13(A,B,D),powerset(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)| -in(D,$f14(A,B))|in($f12(A,B,D),B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)| -in(D,$f14(A,B))|D=set_difference($f12(A,B,D),singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)|in(D,$f14(A,B))| -in(E,powerset(A))|E!=D| -in(H,B)|D!=set_difference(H,singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)| -in(D,$f14(A,B))|in($f13(A,B,D),powerset(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)| -in(D,$f14(A,B))|in($f12(A,B,D),B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)| -in(D,$f14(A,B))|D=set_difference($f12(A,B,D),singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)|in(D,$f14(A,B))| -in(E,powerset(A))|E!=D| -in(H,B)|D!=set_difference(H,singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)=set_difference($f7(A,B),singleton(A))| -in(D,$f14(A,B))|in($f13(A,B,D),powerset(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)=set_difference($f7(A,B),singleton(A))| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)=set_difference($f7(A,B),singleton(A))| -in(D,$f14(A,B))|in($f12(A,B,D),B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)=set_difference($f7(A,B),singleton(A))| -in(D,$f14(A,B))|D=set_difference($f12(A,B,D),singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)=set_difference($f7(A,B),singleton(A))|in(D,$f14(A,B))| -in(E,powerset(A))|E!=D| -in(H,B)|D!=set_difference(H,singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f9(A,B)| -in(D,$f14(A,B))|in($f13(A,B,D),powerset(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f9(A,B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f9(A,B)| -in(D,$f14(A,B))|in($f12(A,B,D),B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f9(A,B)| -in(D,$f14(A,B))|D=set_difference($f12(A,B,D),singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f9(A,B)|in(D,$f14(A,B))| -in(E,powerset(A))|E!=D| -in(H,B)|D!=set_difference(H,singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)| -in(D,$f14(A,B))|in($f13(A,B,D),powerset(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)| -in(D,$f14(A,B))|in($f12(A,B,D),B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)| -in(D,$f14(A,B))|D=set_difference($f12(A,B,D),singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)|in(D,$f14(A,B))| -in(E,powerset(A))|E!=D| -in(H,B)|D!=set_difference(H,singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=set_difference($f8(A,B),singleton(A))| -in(D,$f14(A,B))|in($f13(A,B,D),powerset(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=set_difference($f8(A,B),singleton(A))| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=set_difference($f8(A,B),singleton(A))| -in(D,$f14(A,B))|in($f12(A,B,D),B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=set_difference($f8(A,B),singleton(A))| -in(D,$f14(A,B))|D=set_difference($f12(A,B,D),singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=set_difference($f8(A,B),singleton(A))|in(D,$f14(A,B))| -in(E,powerset(A))|E!=D| -in(H,B)|D!=set_difference(H,singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)!=$f9(A,B)| -in(D,$f14(A,B))|in($f13(A,B,D),powerset(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)!=$f9(A,B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)!=$f9(A,B)| -in(D,$f14(A,B))|in($f12(A,B,D),B).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)!=$f9(A,B)| -in(D,$f14(A,B))|D=set_difference($f12(A,B,D),singleton(A)).
% 1.74/1.95 0 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f10(A,B)!=$f9(A,B)|in(D,$f14(A,B))| -in(E,powerset(A))|E!=D| -in(H,B)|D!=set_difference(H,singleton(A)).
% 1.74/1.95 end_of_list.
% 1.74/1.95
% 1.74/1.95 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.74/1.95
% 1.74/1.95 This ia a non-Horn set with equality. The strategy will be
% 1.74/1.95 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.74/1.95 deletion, with positive clauses in sos and nonpositive
% 1.74/1.95 clauses in usable.
% 1.74/1.95
% 1.74/1.95 dependent: set(knuth_bendix).
% 1.74/1.95 dependent: set(anl_eq).
% 1.74/1.95 dependent: set(para_from).
% 1.74/1.95 dependent: set(para_into).
% 1.74/1.95 dependent: clear(para_from_right).
% 1.74/1.95 dependent: clear(para_into_right).
% 1.74/1.95 dependent: set(para_from_vars).
% 1.74/1.95 dependent: set(eq_units_both_ways).
% 1.74/1.95 dependent: set(dynamic_demod_all).
% 1.74/1.95 dependent: set(dynamic_demod).
% 1.74/1.95 dependent: set(order_eq).
% 1.74/1.95 dependent: set(back_demod).
% 1.74/1.95 dependent: set(lrpo).
% 1.74/1.95 dependent: set(hyper_res).
% 1.74/1.95 dependent: set(unit_deletion).
% 1.74/1.95 dependent: set(factor).
% 1.74/1.95
% 1.74/1.95 ------------> process usable:
% 1.74/1.95 ** KEPT (pick-wt=19): 1 [] -in($f2(A),A)| -in($f2(A),powerset($c2))| -in(B,$c1)|$f2(A)!=set_difference(B,singleton($c2)).
% 1.74/1.95 ** KEPT (pick-wt=8): 2 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.74/1.95 ** KEPT (pick-wt=8): 3 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 1.74/1.96 ** KEPT (pick-wt=2): 4 [] -empty($c8).
% 1.74/1.96 ** KEPT (pick-wt=2): 5 [] -empty($c9).
% 1.74/1.96 ** KEPT (pick-wt=7): 6 [] -ordinal(A)| -natural(A)| -empty(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=7): 7 [] -ordinal(A)| -natural(A)|epsilon_transitive(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=7): 8 [] -ordinal(A)| -natural(A)|epsilon_connected(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=7): 9 [] -ordinal(A)| -natural(A)|ordinal(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=7): 10 [] -ordinal(A)| -natural(A)|natural(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=2): 11 [] -empty($c10).
% 1.74/1.96 ** KEPT (pick-wt=4): 12 [] -empty(A)|finite(A).
% 1.74/1.96 ** KEPT (pick-wt=5): 13 [] empty(A)| -empty($f4(A)).
% 1.74/1.96 ** KEPT (pick-wt=8): 14 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.74/1.96 ** KEPT (pick-wt=6): 15 [] -finite(A)|finite(set_difference(A,B)).
% 1.74/1.96 ** KEPT (pick-wt=4): 16 [] -empty(A)|function(A).
% 1.74/1.96 ** KEPT (pick-wt=4): 17 [] -empty(A)|relation(A).
% 1.74/1.96 ** KEPT (pick-wt=6): 18 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 1.74/1.96 ** KEPT (pick-wt=6): 19 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 1.74/1.96 ** KEPT (pick-wt=6): 20 [] -empty(A)| -ordinal(A)|natural(A).
% 1.74/1.96 ** KEPT (pick-wt=6): 21 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.74/1.96 ** KEPT (pick-wt=4): 22 [] -empty(A)|epsilon_transitive(A).
% 1.74/1.96 ** KEPT (pick-wt=4): 23 [] -empty(A)|epsilon_connected(A).
% 1.74/1.96 ** KEPT (pick-wt=4): 24 [] -empty(A)|ordinal(A).
% 1.74/1.96 ** KEPT (pick-wt=2): 25 [] -empty($c12).
% 1.74/1.96 ** KEPT (pick-wt=5): 26 [] empty(A)| -empty($f5(A)).
% 1.74/1.96 ** KEPT (pick-wt=2): 27 [] -empty($c14).
% 1.74/1.96 ** KEPT (pick-wt=6): 28 [] -in(A,B)| -in(B,A).
% 1.74/1.96 ** KEPT (pick-wt=3): 29 [] -empty(singleton(A)).
% 1.74/1.96 ** KEPT (pick-wt=7): 30 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 1.74/1.96 ** KEPT (pick-wt=7): 31 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 1.74/1.96 ** KEPT (pick-wt=7): 32 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 1.74/1.96 ** KEPT (pick-wt=3): 33 [] -empty(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=4): 34 [] -ordinal(A)|epsilon_transitive(A).
% 1.74/1.96 ** KEPT (pick-wt=4): 35 [] -ordinal(A)|epsilon_connected(A).
% 1.74/1.96 Following clause subsumed by 33 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=5): 36 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=5): 37 [] -ordinal(A)|epsilon_connected(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=5): 38 [] -ordinal(A)|ordinal(succ(A)).
% 1.74/1.96 ** KEPT (pick-wt=3): 39 [] -empty(powerset(A)).
% 1.74/1.96 Following clause subsumed by 29 during input processing: 0 [] -empty(singleton(A)).
% 1.74/1.96 ** KEPT (pick-wt=27): 40 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),powerset(A)).
% 1.74/1.96 ** KEPT (pick-wt=26): 41 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.74/1.96 ** KEPT (pick-wt=26): 42 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),B).
% 1.74/1.96 ** KEPT (pick-wt=29): 44 [copy,43,flip.5] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)| -in(C,$f14(A,B))|set_difference($f12(A,B,C),singleton(A))=C.
% 1.74/1.96 ** KEPT (pick-wt=36): 45 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f11(A,B)=$f10(A,B)|in(C,$f14(A,B))| -in(D,powerset(A))|D!=C| -in(E,B)|C!=set_difference(E,singleton(A)).
% 1.74/1.96 ** KEPT (pick-wt=25): 46 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)| -in(C,$f14(A,B))|in($f13(A,B,C),powerset(A)).
% 1.74/1.96 ** KEPT (pick-wt=24): 47 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.74/1.96 ** KEPT (pick-wt=24): 48 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)| -in(C,$f14(A,B))|in($f12(A,B,C),B).
% 1.74/1.96 ** KEPT (pick-wt=27): 50 [copy,49,flip.5] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)| -in(C,$f14(A,B))|set_difference($f12(A,B,C),singleton(A))=C.
% 1.74/1.96 ** KEPT (pick-wt=34): 51 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f7(A,B),B)|in(C,$f14(A,B))| -in(D,powerset(A))|D!=C| -in(E,B)|C!=set_difference(E,singleton(A)).
% 1.74/1.96 ** KEPT (pick-wt=30): 53 [copy,52,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f7(A,B),singleton(A))=$f10(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),powerset(A)).
% 1.74/1.96 ** KEPT (pick-wt=29): 55 [copy,54,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f7(A,B),singleton(A))=$f10(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.74/1.96 ** KEPT (pick-wt=29): 57 [copy,56,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f7(A,B),singleton(A))=$f10(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),B).
% 1.74/1.96 ** KEPT (pick-wt=32): 59 [copy,58,flip.3,flip.5] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f7(A,B),singleton(A))=$f10(A,B)| -in(C,$f14(A,B))|set_difference($f12(A,B,C),singleton(A))=C.
% 1.74/1.96 ** KEPT (pick-wt=39): 61 [copy,60,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f7(A,B),singleton(A))=$f10(A,B)|in(C,$f14(A,B))| -in(D,powerset(A))|D!=C| -in(E,B)|C!=set_difference(E,singleton(A)).
% 1.74/1.96 ** KEPT (pick-wt=27): 63 [copy,62,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=$f11(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),powerset(A)).
% 1.74/1.96 ** KEPT (pick-wt=26): 65 [copy,64,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=$f11(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.74/1.96 ** KEPT (pick-wt=26): 67 [copy,66,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=$f11(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),B).
% 1.74/1.96 ** KEPT (pick-wt=29): 69 [copy,68,flip.3,flip.5] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=$f11(A,B)| -in(C,$f14(A,B))|set_difference($f12(A,B,C),singleton(A))=C.
% 1.74/1.96 ** KEPT (pick-wt=36): 71 [copy,70,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)=$f11(A,B)|in(C,$f14(A,B))| -in(D,powerset(A))|D!=C| -in(E,B)|C!=set_difference(E,singleton(A)).
% 1.74/1.96 ** KEPT (pick-wt=25): 72 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)| -in(C,$f14(A,B))|in($f13(A,B,C),powerset(A)).
% 1.74/1.96 ** KEPT (pick-wt=24): 73 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.74/1.96 ** KEPT (pick-wt=24): 74 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)| -in(C,$f14(A,B))|in($f12(A,B,C),B).
% 1.74/1.96 ** KEPT (pick-wt=27): 76 [copy,75,flip.5] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)| -in(C,$f14(A,B))|set_difference($f12(A,B,C),singleton(A))=C.
% 1.74/1.96 ** KEPT (pick-wt=34): 77 [] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|in($f8(A,B),B)|in(C,$f14(A,B))| -in(D,powerset(A))|D!=C| -in(E,B)|C!=set_difference(E,singleton(A)).
% 1.74/1.96 ** KEPT (pick-wt=30): 79 [copy,78,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f8(A,B),singleton(A))=$f9(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),powerset(A)).
% 1.74/1.96 ** KEPT (pick-wt=29): 81 [copy,80,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f8(A,B),singleton(A))=$f9(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.74/1.96 ** KEPT (pick-wt=29): 83 [copy,82,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f8(A,B),singleton(A))=$f9(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),B).
% 1.74/1.96 ** KEPT (pick-wt=32): 85 [copy,84,flip.3,flip.5] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f8(A,B),singleton(A))=$f9(A,B)| -in(C,$f14(A,B))|set_difference($f12(A,B,C),singleton(A))=C.
% 1.74/1.96 ** KEPT (pick-wt=39): 87 [copy,86,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|set_difference($f8(A,B),singleton(A))=$f9(A,B)|in(C,$f14(A,B))| -in(D,powerset(A))|D!=C| -in(E,B)|C!=set_difference(E,singleton(A)).
% 1.74/1.96 ** KEPT (pick-wt=27): 89 [copy,88,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)!=$f10(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),powerset(A)).
% 1.74/1.96 ** KEPT (pick-wt=26): 91 [copy,90,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)!=$f10(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.74/1.96 ** KEPT (pick-wt=26): 93 [copy,92,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)!=$f10(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),B).
% 1.74/1.96 ** KEPT (pick-wt=29): 95 [copy,94,flip.3,flip.5] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)!=$f10(A,B)| -in(C,$f14(A,B))|set_difference($f12(A,B,C),singleton(A))=C.
% 1.74/1.96 ** KEPT (pick-wt=36): 97 [copy,96,flip.3] -ordinal(A)| -element(B,powerset(powerset(succ(A))))|$f9(A,B)!=$f10(A,B)|in(C,$f14(A,B))| -in(D,powerset(A))|D!=C| -in(E,B)|C!=set_difference(E,singleton(A)).
% 35.22/35.46 22 back subsumes 18.
% 35.22/35.46 23 back subsumes 19.
% 35.22/35.46 33 back subsumes 6.
% 35.22/35.46 36 back subsumes 7.
% 35.22/35.46 37 back subsumes 8.
% 35.22/35.46 38 back subsumes 9.
% 35.22/35.46
% 35.22/35.46 ------------> process sos:
% 35.22/35.46 ** KEPT (pick-wt=3): 118 [] A=A.
% 35.22/35.46 ** KEPT (pick-wt=2): 119 [] ordinal($c2).
% 35.22/35.46 ** KEPT (pick-wt=6): 120 [] element($c1,powerset(powerset(succ($c2)))).
% 35.22/35.46 ** KEPT (pick-wt=9): 121 [] in($f2(A),A)|in($f2(A),powerset($c2)).
% 35.22/35.46 ** KEPT (pick-wt=8): 122 [] in($f2(A),A)|in($f1(A),$c1).
% 35.22/35.46 ** KEPT (pick-wt=12): 123 [] in($f2(A),A)|$f2(A)=set_difference($f1(A),singleton($c2)).
% 35.22/35.46 ** KEPT (pick-wt=5): 124 [] element($f3(A),powerset(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 125 [] empty($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 126 [] relation($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 127 [] function($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 128 [] one_to_one($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 129 [] epsilon_transitive($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 130 [] epsilon_connected($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 131 [] ordinal($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 132 [] natural($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 133 [] finite($f3(A)).
% 35.22/35.46 ** KEPT (pick-wt=2): 134 [] relation($c3).
% 35.22/35.46 ** KEPT (pick-wt=2): 135 [] function($c3).
% 35.22/35.46 ** KEPT (pick-wt=2): 136 [] one_to_one($c3).
% 35.22/35.46 ** KEPT (pick-wt=2): 137 [] relation($c4).
% 35.22/35.46 ** KEPT (pick-wt=2): 138 [] function($c4).
% 35.22/35.46 ** KEPT (pick-wt=2): 139 [] one_to_one($c4).
% 35.22/35.46 ** KEPT (pick-wt=2): 140 [] empty($c4).
% 35.22/35.46 ** KEPT (pick-wt=2): 141 [] epsilon_transitive($c4).
% 35.22/35.46 ** KEPT (pick-wt=2): 142 [] epsilon_connected($c4).
% 35.22/35.46 ** KEPT (pick-wt=2): 143 [] ordinal($c4).
% 35.22/35.46 ** KEPT (pick-wt=2): 144 [] relation($c5).
% 35.22/35.46 ** KEPT (pick-wt=2): 145 [] function($c5).
% 35.22/35.46 ** KEPT (pick-wt=2): 146 [] relation($c6).
% 35.22/35.46 ** KEPT (pick-wt=2): 147 [] empty($c6).
% 35.22/35.46 ** KEPT (pick-wt=2): 148 [] function($c6).
% 35.22/35.46 ** KEPT (pick-wt=2): 149 [] empty($c7).
% 35.22/35.46 ** KEPT (pick-wt=2): 150 [] relation($c7).
% 35.22/35.46 ** KEPT (pick-wt=2): 151 [] relation($c8).
% 35.22/35.46 ** KEPT (pick-wt=2): 152 [] epsilon_transitive($c9).
% 35.22/35.46 ** KEPT (pick-wt=2): 153 [] epsilon_connected($c9).
% 35.22/35.46 ** KEPT (pick-wt=2): 154 [] ordinal($c9).
% 35.22/35.46 ** KEPT (pick-wt=2): 155 [] natural($c9).
% 35.22/35.46 ** KEPT (pick-wt=2): 156 [] finite($c10).
% 35.22/35.46 ** KEPT (pick-wt=7): 157 [] empty(A)|element($f4(A),powerset(A)).
% 35.22/35.46 ** KEPT (pick-wt=5): 158 [] empty(A)|finite($f4(A)).
% 35.22/35.46 ** KEPT (pick-wt=2): 159 [] epsilon_transitive($c11).
% 35.22/35.46 ** KEPT (pick-wt=2): 160 [] epsilon_connected($c11).
% 35.22/35.46 ** KEPT (pick-wt=2): 161 [] ordinal($c11).
% 35.22/35.46 ** KEPT (pick-wt=2): 162 [] epsilon_transitive($c12).
% 35.22/35.46 ** KEPT (pick-wt=2): 163 [] epsilon_connected($c12).
% 35.22/35.46 ** KEPT (pick-wt=2): 164 [] ordinal($c12).
% 35.22/35.46 ** KEPT (pick-wt=7): 165 [] empty(A)|element($f5(A),powerset(A)).
% 35.22/35.46 ** KEPT (pick-wt=5): 166 [] element($f6(A),powerset(A)).
% 35.22/35.46 ** KEPT (pick-wt=3): 167 [] empty($f6(A)).
% 35.22/35.46 ** KEPT (pick-wt=2): 168 [] empty($c13).
% 35.22/35.46 ** KEPT (pick-wt=3): 169 [] finite(singleton(A)).
% 35.22/35.46 Following clause subsumed by 118 during input processing: 0 [copy,118,flip.1] A=A.
% 35.22/35.46
% 35.22/35.46 ======= end of input processing =======
% 35.22/35.46
% 35.22/35.46 =========== start of search ===========
% 35.22/35.46
% 35.22/35.46
% 35.22/35.46 Resetting weight limit to 4.
% 35.22/35.46
% 35.22/35.46
% 35.22/35.46 Resetting weight limit to 4.
% 35.22/35.46
% 35.22/35.46 sos_size=821
% 35.22/35.46
% 35.22/35.46 Search stopped because sos empty.
% 35.22/35.46
% 35.22/35.46
% 35.22/35.46 Search stopped because sos empty.
% 35.22/35.46
% 35.22/35.46 ============ end of search ============
% 35.22/35.46
% 35.22/35.46 -------------- statistics -------------
% 35.22/35.46 clauses given 943
% 35.22/35.46 clauses generated 895837
% 35.22/35.46 clauses kept 1038
% 35.22/35.46 clauses forward subsumed 141
% 35.22/35.46 clauses back subsumed 7
% 35.22/35.46 Kbytes malloced 6835
% 35.22/35.46
% 35.22/35.46 ----------- times (seconds) -----------
% 35.22/35.46 user CPU time 33.50 (0 hr, 0 min, 33 sec)
% 35.22/35.46 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 35.22/35.46 wall-clock time 35 (0 hr, 0 min, 35 sec)
% 35.22/35.46
% 35.22/35.46 Process 20956 finished Wed Jul 27 07:50:28 2022
% 35.22/35.46 Otter interrupted
% 35.22/35.46 PROOF NOT FOUND
%------------------------------------------------------------------------------