TSTP Solution File: SEU297+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 18.32s 18.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.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 07:25:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.85/2.06 ----- Otter 3.3f, August 2004 -----
% 1.85/2.06 The process was started by sandbox2 on n010.cluster.edu,
% 1.85/2.06 Wed Jul 27 07:25:55 2022
% 1.85/2.06 The command was "./otter". The process ID is 22893.
% 1.85/2.06
% 1.85/2.06 set(prolog_style_variables).
% 1.85/2.06 set(auto).
% 1.85/2.06 dependent: set(auto1).
% 1.85/2.06 dependent: set(process_input).
% 1.85/2.06 dependent: clear(print_kept).
% 1.85/2.06 dependent: clear(print_new_demod).
% 1.85/2.06 dependent: clear(print_back_demod).
% 1.85/2.06 dependent: clear(print_back_sub).
% 1.85/2.06 dependent: set(control_memory).
% 1.85/2.06 dependent: assign(max_mem, 12000).
% 1.85/2.06 dependent: assign(pick_given_ratio, 4).
% 1.85/2.06 dependent: assign(stats_level, 1).
% 1.85/2.06 dependent: assign(max_seconds, 10800).
% 1.85/2.06 clear(print_given).
% 1.85/2.06
% 1.85/2.06 formula_list(usable).
% 1.85/2.06 all A (A=A).
% 1.85/2.06 -(all A B C (element(B,powerset(powerset(A)))&relation(C)&function(C)-> (exists D all E (in(E,D)<->in(E,powerset(relation_dom(C)))&in(relation_image(C,E),B))))).
% 1.85/2.06 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)).
% 1.85/2.06 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 1.85/2.06 exists A (-empty(A)&finite(A)).
% 1.85/2.06 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 1.85/2.06 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 1.85/2.06 all A B (relation(A)&function(A)&finite(B)->finite(relation_image(A,B))).
% 1.85/2.06 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.85/2.06 all A (ordinal(A)-> (all B (element(B,A)->epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)))).
% 1.85/2.06 all A (empty(A)&ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 1.85/2.06 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 1.85/2.06 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 1.85/2.06 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.85/2.06 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.85/2.06 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.85/2.06 all A (empty(A)->finite(A)).
% 1.85/2.06 all A (empty(A)->function(A)).
% 1.85/2.06 exists A (relation(A)&empty(A)&function(A)).
% 1.85/2.06 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.85/2.06 exists A (empty(A)&relation(A)).
% 1.85/2.06 all A (empty(A)->relation(A)).
% 1.85/2.06 exists A (-empty(A)&relation(A)).
% 1.85/2.06 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.85/2.06 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.85/2.06 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.85/2.06 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.85/2.06 all A exists B (element(B,powerset(A))&empty(B)).
% 1.85/2.06 exists A empty(A).
% 1.85/2.06 exists A (-empty(A)).
% 1.85/2.06 all A B (in(A,B)-> -in(B,A)).
% 1.85/2.06 $T.
% 1.85/2.06 $T.
% 1.85/2.06 $T.
% 1.85/2.06 $T.
% 1.85/2.06 exists A (relation(A)&function(A)).
% 1.85/2.06 all A (-empty(powerset(A))).
% 1.85/2.06 all A B C (element(B,powerset(powerset(A)))&relation(C)&function(C)-> ((all D E F (D=E&in(relation_image(C,E),B)&D=F&in(relation_image(C,F),B)->E=F))-> (exists D all E (in(E,D)<-> (exists F (in(F,powerset(relation_dom(C)))&F=E&in(relation_image(C,E),B))))))).
% 1.85/2.06 end_of_list.
% 1.85/2.06
% 1.85/2.06 -------> usable clausifies to:
% 1.85/2.06
% 1.85/2.06 list(usable).
% 1.85/2.06 0 [] A=A.
% 1.85/2.06 0 [] element($c2,powerset(powerset($c3))).
% 1.85/2.06 0 [] relation($c1).
% 1.85/2.06 0 [] function($c1).
% 1.85/2.06 0 [] in($f1(D),D)|in($f1(D),powerset(relation_dom($c1))).
% 1.85/2.06 0 [] in($f1(D),D)|in(relation_image($c1,$f1(D)),$c2).
% 1.85/2.06 0 [] -in($f1(D),D)| -in($f1(D),powerset(relation_dom($c1)))| -in(relation_image($c1,$f1(D)),$c2).
% 1.85/2.06 0 [] element($f2(A),powerset(A)).
% 1.85/2.06 0 [] empty($f2(A)).
% 1.85/2.06 0 [] relation($f2(A)).
% 1.85/2.06 0 [] function($f2(A)).
% 1.85/2.06 0 [] one_to_one($f2(A)).
% 1.85/2.06 0 [] epsilon_transitive($f2(A)).
% 1.85/2.06 0 [] epsilon_connected($f2(A)).
% 1.85/2.06 0 [] ordinal($f2(A)).
% 1.85/2.06 0 [] natural($f2(A)).
% 1.85/2.06 0 [] finite($f2(A)).
% 1.85/2.06 0 [] -empty($c4).
% 1.85/2.06 0 [] epsilon_transitive($c4).
% 1.85/2.06 0 [] epsilon_connected($c4).
% 1.85/2.06 0 [] ordinal($c4).
% 1.85/2.06 0 [] natural($c4).
% 1.85/2.06 0 [] -empty($c5).
% 1.85/2.06 0 [] finite($c5).
% 1.85/2.06 0 [] empty(A)|element($f3(A),powerset(A)).
% 1.85/2.06 0 [] empty(A)| -empty($f3(A)).
% 1.85/2.06 0 [] empty(A)|finite($f3(A)).
% 1.85/2.06 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.85/2.06 0 [] -relation(A)| -function(A)| -finite(B)|finite(relation_image(A,B)).
% 1.85/2.06 0 [] relation($c6).
% 1.85/2.06 0 [] function($c6).
% 1.85/2.06 0 [] one_to_one($c6).
% 1.85/2.06 0 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 1.85/2.06 0 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 1.85/2.06 0 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 1.85/2.06 0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 1.85/2.06 0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 1.85/2.06 0 [] -empty(A)| -ordinal(A)|natural(A).
% 1.85/2.06 0 [] -ordinal(A)|epsilon_transitive(A).
% 1.85/2.06 0 [] -ordinal(A)|epsilon_connected(A).
% 1.85/2.06 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.85/2.06 0 [] epsilon_transitive($c7).
% 1.85/2.06 0 [] epsilon_connected($c7).
% 1.85/2.06 0 [] ordinal($c7).
% 1.85/2.06 0 [] relation($c8).
% 1.85/2.06 0 [] function($c8).
% 1.85/2.06 0 [] one_to_one($c8).
% 1.85/2.06 0 [] empty($c8).
% 1.85/2.06 0 [] epsilon_transitive($c8).
% 1.85/2.06 0 [] epsilon_connected($c8).
% 1.85/2.06 0 [] ordinal($c8).
% 1.85/2.06 0 [] -empty($c9).
% 1.85/2.06 0 [] epsilon_transitive($c9).
% 1.85/2.06 0 [] epsilon_connected($c9).
% 1.85/2.06 0 [] ordinal($c9).
% 1.85/2.06 0 [] -empty(A)|finite(A).
% 1.85/2.06 0 [] -empty(A)|function(A).
% 1.85/2.06 0 [] relation($c10).
% 1.85/2.06 0 [] empty($c10).
% 1.85/2.06 0 [] function($c10).
% 1.85/2.06 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.85/2.06 0 [] empty($c11).
% 1.85/2.06 0 [] relation($c11).
% 1.85/2.06 0 [] -empty(A)|relation(A).
% 1.85/2.06 0 [] -empty($c12).
% 1.85/2.06 0 [] relation($c12).
% 1.85/2.06 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.85/2.06 0 [] -empty(A)|empty(relation_dom(A)).
% 1.85/2.06 0 [] -empty(A)|relation(relation_dom(A)).
% 1.85/2.06 0 [] -empty(A)|epsilon_transitive(A).
% 1.85/2.06 0 [] -empty(A)|epsilon_connected(A).
% 1.85/2.06 0 [] -empty(A)|ordinal(A).
% 1.85/2.06 0 [] empty(A)|element($f4(A),powerset(A)).
% 1.85/2.06 0 [] empty(A)| -empty($f4(A)).
% 1.85/2.06 0 [] element($f5(A),powerset(A)).
% 1.85/2.06 0 [] empty($f5(A)).
% 1.85/2.06 0 [] empty($c13).
% 1.85/2.06 0 [] -empty($c14).
% 1.85/2.06 0 [] -in(A,B)| -in(B,A).
% 1.85/2.06 0 [] $T.
% 1.85/2.06 0 [] $T.
% 1.85/2.06 0 [] $T.
% 1.85/2.06 0 [] $T.
% 1.85/2.06 0 [] relation($c15).
% 1.85/2.06 0 [] function($c15).
% 1.85/2.06 0 [] -empty(powerset(A)).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f8(A,B,C)=$f7(A,B,C)| -in(E,$f10(A,B,C))|in($f9(A,B,C,E),powerset(relation_dom(C))).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f8(A,B,C)=$f7(A,B,C)| -in(E,$f10(A,B,C))|$f9(A,B,C,E)=E.
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f8(A,B,C)=$f7(A,B,C)| -in(E,$f10(A,B,C))|in(relation_image(C,E),B).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f8(A,B,C)=$f7(A,B,C)|in(E,$f10(A,B,C))| -in(F,powerset(relation_dom(C)))|F!=E| -in(relation_image(C,E),B).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|in(relation_image(C,$f7(A,B,C)),B)| -in(E,$f10(A,B,C))|in($f9(A,B,C,E),powerset(relation_dom(C))).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|in(relation_image(C,$f7(A,B,C)),B)| -in(E,$f10(A,B,C))|$f9(A,B,C,E)=E.
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|in(relation_image(C,$f7(A,B,C)),B)| -in(E,$f10(A,B,C))|in(relation_image(C,E),B).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|in(relation_image(C,$f7(A,B,C)),B)|in(E,$f10(A,B,C))| -in(F,powerset(relation_dom(C)))|F!=E| -in(relation_image(C,E),B).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f8(A,B,C)=$f6(A,B,C)| -in(E,$f10(A,B,C))|in($f9(A,B,C,E),powerset(relation_dom(C))).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f8(A,B,C)=$f6(A,B,C)| -in(E,$f10(A,B,C))|$f9(A,B,C,E)=E.
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f8(A,B,C)=$f6(A,B,C)| -in(E,$f10(A,B,C))|in(relation_image(C,E),B).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f8(A,B,C)=$f6(A,B,C)|in(E,$f10(A,B,C))| -in(F,powerset(relation_dom(C)))|F!=E| -in(relation_image(C,E),B).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|in(relation_image(C,$f6(A,B,C)),B)| -in(E,$f10(A,B,C))|in($f9(A,B,C,E),powerset(relation_dom(C))).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|in(relation_image(C,$f6(A,B,C)),B)| -in(E,$f10(A,B,C))|$f9(A,B,C,E)=E.
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|in(relation_image(C,$f6(A,B,C)),B)| -in(E,$f10(A,B,C))|in(relation_image(C,E),B).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|in(relation_image(C,$f6(A,B,C)),B)|in(E,$f10(A,B,C))| -in(F,powerset(relation_dom(C)))|F!=E| -in(relation_image(C,E),B).
% 1.85/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f7(A,B,C)!=$f6(A,B,C)| -in(E,$f10(A,B,C))|in($f9(A,B,C,E),powerset(relation_dom(C))).
% 1.90/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f7(A,B,C)!=$f6(A,B,C)| -in(E,$f10(A,B,C))|$f9(A,B,C,E)=E.
% 1.90/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f7(A,B,C)!=$f6(A,B,C)| -in(E,$f10(A,B,C))|in(relation_image(C,E),B).
% 1.90/2.06 0 [] -element(B,powerset(powerset(A)))| -relation(C)| -function(C)|$f7(A,B,C)!=$f6(A,B,C)|in(E,$f10(A,B,C))| -in(F,powerset(relation_dom(C)))|F!=E| -in(relation_image(C,E),B).
% 1.90/2.06 end_of_list.
% 1.90/2.06
% 1.90/2.06 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.90/2.06
% 1.90/2.06 This ia a non-Horn set with equality. The strategy will be
% 1.90/2.06 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.90/2.06 deletion, with positive clauses in sos and nonpositive
% 1.90/2.06 clauses in usable.
% 1.90/2.06
% 1.90/2.06 dependent: set(knuth_bendix).
% 1.90/2.06 dependent: set(anl_eq).
% 1.90/2.06 dependent: set(para_from).
% 1.90/2.06 dependent: set(para_into).
% 1.90/2.06 dependent: clear(para_from_right).
% 1.90/2.06 dependent: clear(para_into_right).
% 1.90/2.06 dependent: set(para_from_vars).
% 1.90/2.06 dependent: set(eq_units_both_ways).
% 1.90/2.06 dependent: set(dynamic_demod_all).
% 1.90/2.06 dependent: set(dynamic_demod).
% 1.90/2.06 dependent: set(order_eq).
% 1.90/2.06 dependent: set(back_demod).
% 1.90/2.06 dependent: set(lrpo).
% 1.90/2.06 dependent: set(hyper_res).
% 1.90/2.06 dependent: set(unit_deletion).
% 1.90/2.06 dependent: set(factor).
% 1.90/2.06
% 1.90/2.06 ------------> process usable:
% 1.90/2.06 ** KEPT (pick-wt=16): 1 [] -in($f1(A),A)| -in($f1(A),powerset(relation_dom($c1)))| -in(relation_image($c1,$f1(A)),$c2).
% 1.90/2.06 ** KEPT (pick-wt=2): 2 [] -empty($c4).
% 1.90/2.06 ** KEPT (pick-wt=2): 3 [] -empty($c5).
% 1.90/2.06 ** KEPT (pick-wt=5): 4 [] empty(A)| -empty($f3(A)).
% 1.90/2.06 ** KEPT (pick-wt=8): 5 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.90/2.06 ** KEPT (pick-wt=10): 6 [] -relation(A)| -function(A)| -finite(B)|finite(relation_image(A,B)).
% 1.90/2.06 ** KEPT (pick-wt=7): 7 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 1.90/2.06 ** KEPT (pick-wt=7): 8 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 1.90/2.06 ** KEPT (pick-wt=7): 9 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 1.90/2.06 ** KEPT (pick-wt=6): 10 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 1.90/2.06 ** KEPT (pick-wt=6): 11 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 1.90/2.06 ** KEPT (pick-wt=6): 12 [] -empty(A)| -ordinal(A)|natural(A).
% 1.90/2.06 ** KEPT (pick-wt=4): 13 [] -ordinal(A)|epsilon_transitive(A).
% 1.90/2.06 ** KEPT (pick-wt=4): 14 [] -ordinal(A)|epsilon_connected(A).
% 1.90/2.06 ** KEPT (pick-wt=6): 15 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.90/2.06 ** KEPT (pick-wt=2): 16 [] -empty($c9).
% 1.90/2.06 ** KEPT (pick-wt=4): 17 [] -empty(A)|finite(A).
% 1.90/2.06 ** KEPT (pick-wt=4): 18 [] -empty(A)|function(A).
% 1.90/2.06 ** KEPT (pick-wt=8): 19 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.90/2.06 ** KEPT (pick-wt=4): 20 [] -empty(A)|relation(A).
% 1.90/2.06 ** KEPT (pick-wt=2): 21 [] -empty($c12).
% 1.90/2.06 ** KEPT (pick-wt=7): 22 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.90/2.06 ** KEPT (pick-wt=5): 23 [] -empty(A)|empty(relation_dom(A)).
% 1.90/2.06 ** KEPT (pick-wt=5): 24 [] -empty(A)|relation(relation_dom(A)).
% 1.90/2.06 ** KEPT (pick-wt=4): 25 [] -empty(A)|epsilon_transitive(A).
% 1.90/2.06 ** KEPT (pick-wt=4): 26 [] -empty(A)|epsilon_connected(A).
% 1.90/2.06 ** KEPT (pick-wt=4): 27 [] -empty(A)|ordinal(A).
% 1.90/2.06 ** KEPT (pick-wt=5): 28 [] empty(A)| -empty($f4(A)).
% 1.90/2.06 ** KEPT (pick-wt=2): 29 [] -empty($c14).
% 1.90/2.06 ** KEPT (pick-wt=6): 30 [] -in(A,B)| -in(B,A).
% 1.90/2.06 ** KEPT (pick-wt=3): 31 [] -empty(powerset(A)).
% 1.90/2.06 ** KEPT (pick-wt=33): 32 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f8(B,A,C)=$f7(B,A,C)| -in(D,$f10(B,A,C))|in($f9(B,A,C,D),powerset(relation_dom(C))).
% 1.90/2.06 ** KEPT (pick-wt=31): 33 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f8(B,A,C)=$f7(B,A,C)| -in(D,$f10(B,A,C))|$f9(B,A,C,D)=D.
% 1.90/2.06 ** KEPT (pick-wt=29): 34 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f8(B,A,C)=$f7(B,A,C)| -in(D,$f10(B,A,C))|in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=37): 35 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f8(B,A,C)=$f7(B,A,C)|in(D,$f10(B,A,C))| -in(E,powerset(relation_dom(C)))|E!=D| -in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=32): 36 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|in(relation_image(C,$f7(B,A,C)),A)| -in(D,$f10(B,A,C))|in($f9(B,A,C,D),powerset(relation_dom(C))).
% 1.90/2.06 ** KEPT (pick-wt=30): 37 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|in(relation_image(C,$f7(B,A,C)),A)| -in(D,$f10(B,A,C))|$f9(B,A,C,D)=D.
% 1.90/2.06 ** KEPT (pick-wt=28): 38 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|in(relation_image(C,$f7(B,A,C)),A)| -in(D,$f10(B,A,C))|in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=36): 39 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|in(relation_image(C,$f7(B,A,C)),A)|in(D,$f10(B,A,C))| -in(E,powerset(relation_dom(C)))|E!=D| -in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=33): 40 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f8(B,A,C)=$f6(B,A,C)| -in(D,$f10(B,A,C))|in($f9(B,A,C,D),powerset(relation_dom(C))).
% 1.90/2.06 ** KEPT (pick-wt=31): 41 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f8(B,A,C)=$f6(B,A,C)| -in(D,$f10(B,A,C))|$f9(B,A,C,D)=D.
% 1.90/2.06 ** KEPT (pick-wt=29): 42 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f8(B,A,C)=$f6(B,A,C)| -in(D,$f10(B,A,C))|in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=37): 43 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f8(B,A,C)=$f6(B,A,C)|in(D,$f10(B,A,C))| -in(E,powerset(relation_dom(C)))|E!=D| -in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=32): 44 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|in(relation_image(C,$f6(B,A,C)),A)| -in(D,$f10(B,A,C))|in($f9(B,A,C,D),powerset(relation_dom(C))).
% 1.90/2.06 ** KEPT (pick-wt=30): 45 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|in(relation_image(C,$f6(B,A,C)),A)| -in(D,$f10(B,A,C))|$f9(B,A,C,D)=D.
% 1.90/2.06 ** KEPT (pick-wt=28): 46 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|in(relation_image(C,$f6(B,A,C)),A)| -in(D,$f10(B,A,C))|in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=36): 47 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|in(relation_image(C,$f6(B,A,C)),A)|in(D,$f10(B,A,C))| -in(E,powerset(relation_dom(C)))|E!=D| -in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=33): 48 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f7(B,A,C)!=$f6(B,A,C)| -in(D,$f10(B,A,C))|in($f9(B,A,C,D),powerset(relation_dom(C))).
% 1.90/2.06 ** KEPT (pick-wt=31): 49 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f7(B,A,C)!=$f6(B,A,C)| -in(D,$f10(B,A,C))|$f9(B,A,C,D)=D.
% 1.90/2.06 ** KEPT (pick-wt=29): 50 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f7(B,A,C)!=$f6(B,A,C)| -in(D,$f10(B,A,C))|in(relation_image(C,D),A).
% 1.90/2.06 ** KEPT (pick-wt=37): 51 [] -element(A,powerset(powerset(B)))| -relation(C)| -function(C)|$f7(B,A,C)!=$f6(B,A,C)|in(D,$f10(B,A,C))| -in(E,powerset(relation_dom(C)))|E!=D| -in(relation_image(C,D),A).
% 1.90/2.06 13 back subsumes 10.
% 1.90/2.06 14 back subsumes 11.
% 1.90/2.06
% 1.90/2.06 ------------> process sos:
% 1.90/2.06 ** KEPT (pick-wt=3): 62 [] A=A.
% 1.90/2.06 ** KEPT (pick-wt=5): 63 [] element($c2,powerset(powerset($c3))).
% 1.90/2.06 ** KEPT (pick-wt=2): 64 [] relation($c1).
% 1.90/2.06 ** KEPT (pick-wt=2): 65 [] function($c1).
% 1.90/2.06 ** KEPT (pick-wt=10): 66 [] in($f1(A),A)|in($f1(A),powerset(relation_dom($c1))).
% 1.90/2.06 ** KEPT (pick-wt=10): 67 [] in($f1(A),A)|in(relation_image($c1,$f1(A)),$c2).
% 1.90/2.06 ** KEPT (pick-wt=5): 68 [] element($f2(A),powerset(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 69 [] empty($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 70 [] relation($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 71 [] function($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 72 [] one_to_one($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 73 [] epsilon_transitive($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 74 [] epsilon_connected($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 75 [] ordinal($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 76 [] natural($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=3): 77 [] finite($f2(A)).
% 1.90/2.06 ** KEPT (pick-wt=2): 78 [] epsilon_transitive($c4).
% 1.90/2.06 ** KEPT (pick-wt=2): 79 [] epsilon_connected($c4).
% 1.90/2.06 ** KEPT (pick-wt=2): 80 [] ordinal($c4).
% 1.90/2.06 ** KEPT (pick-wt=2): 81 [] natural($c4).
% 1.90/2.06 ** KEPT (pick-wt=2): 82 [] finite($c5).
% 1.90/2.06 ** KEPT (pick-wt=7): 83 [] empty(A)|element($f3(A),powerset(A)).
% 1.90/2.06 ** KEPT (pick-wt=5): 84 [] empty(A)|finite($f3(A)).
% 1.90/2.06 ** KEPT (pick-wt=2): 85 [] relation($c6).
% 1.90/2.06 ** KEPT (pick-wt=2): 86 [] function($c6).
% 1.90/2.06 ** KEPT (pick-wt=2): 87 [] one_to_one($c6).
% 1.90/2.06 ** KEPT (pick-wt=2): 88 [] epsilon_transitive($c7).
% 1.90/2.06 ** KEPT (pick-wt=2): 89 [] epsilon_connected($c7).
% 1.90/2.06 ** KEPT (pick-wt=2): 90 [] ordinal($c7).
% 18.32/18.50 ** KEPT (pick-wt=2): 91 [] relation($c8).
% 18.32/18.50 ** KEPT (pick-wt=2): 92 [] function($c8).
% 18.32/18.50 ** KEPT (pick-wt=2): 93 [] one_to_one($c8).
% 18.32/18.50 ** KEPT (pick-wt=2): 94 [] empty($c8).
% 18.32/18.50 ** KEPT (pick-wt=2): 95 [] epsilon_transitive($c8).
% 18.32/18.50 ** KEPT (pick-wt=2): 96 [] epsilon_connected($c8).
% 18.32/18.50 ** KEPT (pick-wt=2): 97 [] ordinal($c8).
% 18.32/18.50 ** KEPT (pick-wt=2): 98 [] epsilon_transitive($c9).
% 18.32/18.50 ** KEPT (pick-wt=2): 99 [] epsilon_connected($c9).
% 18.32/18.50 ** KEPT (pick-wt=2): 100 [] ordinal($c9).
% 18.32/18.50 ** KEPT (pick-wt=2): 101 [] relation($c10).
% 18.32/18.50 ** KEPT (pick-wt=2): 102 [] empty($c10).
% 18.32/18.50 ** KEPT (pick-wt=2): 103 [] function($c10).
% 18.32/18.50 ** KEPT (pick-wt=2): 104 [] empty($c11).
% 18.32/18.50 ** KEPT (pick-wt=2): 105 [] relation($c11).
% 18.32/18.50 ** KEPT (pick-wt=2): 106 [] relation($c12).
% 18.32/18.50 ** KEPT (pick-wt=7): 107 [] empty(A)|element($f4(A),powerset(A)).
% 18.32/18.50 ** KEPT (pick-wt=5): 108 [] element($f5(A),powerset(A)).
% 18.32/18.50 ** KEPT (pick-wt=3): 109 [] empty($f5(A)).
% 18.32/18.50 ** KEPT (pick-wt=2): 110 [] empty($c13).
% 18.32/18.50 ** KEPT (pick-wt=2): 111 [] relation($c15).
% 18.32/18.50 ** KEPT (pick-wt=2): 112 [] function($c15).
% 18.32/18.50 Following clause subsumed by 62 during input processing: 0 [copy,62,flip.1] A=A.
% 18.32/18.50
% 18.32/18.50 ======= end of input processing =======
% 18.32/18.50
% 18.32/18.50 =========== start of search ===========
% 18.32/18.50
% 18.32/18.50
% 18.32/18.50 Resetting weight limit to 5.
% 18.32/18.50
% 18.32/18.50
% 18.32/18.50 Resetting weight limit to 5.
% 18.32/18.50
% 18.32/18.50 sos_size=1382
% 18.32/18.50
% 18.32/18.50 Search stopped because sos empty.
% 18.32/18.50
% 18.32/18.50
% 18.32/18.50 Search stopped because sos empty.
% 18.32/18.50
% 18.32/18.50 ============ end of search ============
% 18.32/18.50
% 18.32/18.50 -------------- statistics -------------
% 18.32/18.50 clauses given 1639
% 18.32/18.50 clauses generated 455620
% 18.32/18.50 clauses kept 1714
% 18.32/18.50 clauses forward subsumed 571
% 18.32/18.50 clauses back subsumed 24
% 18.32/18.50 Kbytes malloced 5859
% 18.32/18.50
% 18.32/18.50 ----------- times (seconds) -----------
% 18.32/18.50 user CPU time 16.44 (0 hr, 0 min, 16 sec)
% 18.32/18.50 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 18.32/18.50 wall-clock time 18 (0 hr, 0 min, 18 sec)
% 18.32/18.50
% 18.32/18.50 Process 22893 finished Wed Jul 27 07:26:13 2022
% 18.32/18.50 Otter interrupted
% 18.32/18.50 PROOF NOT FOUND
%------------------------------------------------------------------------------