TSTP Solution File: SEU073+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU073+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:14:44 EDT 2022
% Result : Unknown 6.17s 6.39s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU073+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n022.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 07:41:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.00/2.20 ----- Otter 3.3f, August 2004 -----
% 2.00/2.20 The process was started by sandbox2 on n022.cluster.edu,
% 2.00/2.20 Wed Jul 27 07:41:20 2022
% 2.00/2.20 The command was "./otter". The process ID is 23175.
% 2.00/2.20
% 2.00/2.20 set(prolog_style_variables).
% 2.00/2.20 set(auto).
% 2.00/2.20 dependent: set(auto1).
% 2.00/2.20 dependent: set(process_input).
% 2.00/2.20 dependent: clear(print_kept).
% 2.00/2.20 dependent: clear(print_new_demod).
% 2.00/2.20 dependent: clear(print_back_demod).
% 2.00/2.20 dependent: clear(print_back_sub).
% 2.00/2.20 dependent: set(control_memory).
% 2.00/2.20 dependent: assign(max_mem, 12000).
% 2.00/2.20 dependent: assign(pick_given_ratio, 4).
% 2.00/2.20 dependent: assign(stats_level, 1).
% 2.00/2.20 dependent: assign(max_seconds, 10800).
% 2.00/2.20 clear(print_given).
% 2.00/2.20
% 2.00/2.20 formula_list(usable).
% 2.00/2.20 all A (A=A).
% 2.00/2.20 all A B (in(A,B)-> -in(B,A)).
% 2.00/2.20 all A (empty(A)->function(A)).
% 2.00/2.20 all A (empty(A)->relation(A)).
% 2.00/2.20 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.00/2.20 all A (relation(A)&function(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(E,relation_dom(A))&in(E,B)&D=apply(A,E)))))))).
% 2.00/2.20 all A (relation(A)&function(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<->in(D,relation_dom(A))&in(apply(A,D),B)))))).
% 2.00/2.20 all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 2.00/2.20 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 2.00/2.20 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 2.00/2.20 all A exists B element(B,A).
% 2.00/2.20 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 2.00/2.20 empty(empty_set).
% 2.00/2.20 relation(empty_set).
% 2.00/2.20 relation_empty_yielding(empty_set).
% 2.00/2.20 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 2.00/2.20 all A (-empty(powerset(A))).
% 2.00/2.20 empty(empty_set).
% 2.00/2.20 empty(empty_set).
% 2.00/2.20 relation(empty_set).
% 2.00/2.20 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 2.00/2.20 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 2.00/2.20 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 2.00/2.20 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 2.00/2.20 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 2.00/2.20 exists A (relation(A)&function(A)).
% 2.00/2.20 exists A (empty(A)&relation(A)).
% 2.00/2.20 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.00/2.20 exists A empty(A).
% 2.00/2.20 exists A (relation(A)&empty(A)&function(A)).
% 2.00/2.20 exists A (-empty(A)&relation(A)).
% 2.00/2.20 all A exists B (element(B,powerset(A))&empty(B)).
% 2.00/2.20 exists A (-empty(A)).
% 2.00/2.20 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.00/2.20 exists A (relation(A)&relation_empty_yielding(A)).
% 2.00/2.20 all A B subset(A,A).
% 2.00/2.20 -(all A B (relation(B)&function(B)-> (one_to_one(B)->relation_image(B,A)=relation_inverse_image(function_inverse(B),A)))).
% 2.00/2.20 all A B (in(A,B)->element(A,B)).
% 2.00/2.20 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.00/2.20 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 2.00/2.20 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.00/2.20 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.00/2.20 all A (relation(A)&function(A)-> (one_to_one(A)-> (all B (relation(B)&function(B)-> (B=function_inverse(A)<->relation_dom(B)=relation_rng(A)& (all C D ((in(C,relation_rng(A))&D=apply(B,C)->in(D,relation_dom(A))&C=apply(A,D))& (in(D,relation_dom(A))&C=apply(A,D)->in(C,relation_rng(A))&D=apply(B,C))))))))).
% 2.00/2.20 all A B (relation(B)&function(B)-> (one_to_one(B)&in(A,relation_dom(B))->A=apply(function_inverse(B),apply(B,A))&A=apply(relation_composition(B,function_inverse(B)),A))).
% 2.00/2.20 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.00/2.20 all A (empty(A)->A=empty_set).
% 2.00/2.20 all A B (-(in(A,B)&empty(B))).
% 2.00/2.20 all A B (-(empty(A)&A!=B&empty(B))).
% 2.00/2.20 end_of_list.
% 2.00/2.20
% 2.00/2.20 -------> usable clausifies to:
% 2.00/2.20
% 2.00/2.20 list(usable).
% 2.00/2.20 0 [] A=A.
% 2.00/2.20 0 [] -in(A,B)| -in(B,A).
% 2.00/2.20 0 [] -empty(A)|function(A).
% 2.00/2.20 0 [] -empty(A)|relation(A).
% 2.00/2.20 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),B).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f1(A,B,C,D)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)|in(D,C)| -in(E,relation_dom(A))| -in(E,B)|D!=apply(A,E).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),B).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|$f3(A,B,C)=apply(A,$f2(A,B,C)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f3(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f3(A,B,C)!=apply(A,X1).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f4(A,B,C),C)|in($f4(A,B,C),relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f4(A,B,C),C)|in(apply(A,$f4(A,B,C)),B).
% 2.00/2.20 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f4(A,B,C),C)| -in($f4(A,B,C),relation_dom(A))| -in(apply(A,$f4(A,B,C)),B).
% 2.00/2.20 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f5(A,B,C),relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f5(A,B,C)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.00/2.20 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|in($f6(A,B),relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|$f7(A,B)=apply(A,$f6(A,B)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f7(A,B),B)| -in(X2,relation_dom(A))|$f7(A,B)!=apply(A,X2).
% 2.00/2.20 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 2.00/2.20 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.00/2.20 0 [] element($f8(A),A).
% 2.00/2.20 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 2.00/2.20 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 2.00/2.20 0 [] empty(empty_set).
% 2.00/2.20 0 [] relation(empty_set).
% 2.00/2.20 0 [] relation_empty_yielding(empty_set).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 2.00/2.20 0 [] -empty(powerset(A)).
% 2.00/2.20 0 [] empty(empty_set).
% 2.00/2.20 0 [] empty(empty_set).
% 2.00/2.20 0 [] relation(empty_set).
% 2.00/2.20 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.00/2.20 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.00/2.20 0 [] -empty(A)|empty(relation_dom(A)).
% 2.00/2.20 0 [] -empty(A)|relation(relation_dom(A)).
% 2.00/2.20 0 [] -empty(A)|empty(relation_rng(A)).
% 2.00/2.20 0 [] -empty(A)|relation(relation_rng(A)).
% 2.00/2.20 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 2.00/2.20 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.00/2.20 0 [] relation($c1).
% 2.00/2.20 0 [] function($c1).
% 2.00/2.20 0 [] empty($c2).
% 2.00/2.20 0 [] relation($c2).
% 2.00/2.20 0 [] empty(A)|element($f9(A),powerset(A)).
% 2.00/2.20 0 [] empty(A)| -empty($f9(A)).
% 2.00/2.20 0 [] empty($c3).
% 2.00/2.20 0 [] relation($c4).
% 2.00/2.20 0 [] empty($c4).
% 2.00/2.20 0 [] function($c4).
% 2.00/2.20 0 [] -empty($c5).
% 2.00/2.20 0 [] relation($c5).
% 2.00/2.20 0 [] element($f10(A),powerset(A)).
% 2.00/2.20 0 [] empty($f10(A)).
% 2.00/2.20 0 [] -empty($c6).
% 2.00/2.20 0 [] relation($c7).
% 2.00/2.20 0 [] function($c7).
% 2.00/2.20 0 [] one_to_one($c7).
% 2.00/2.20 0 [] relation($c8).
% 2.00/2.20 0 [] relation_empty_yielding($c8).
% 2.00/2.20 0 [] subset(A,A).
% 2.00/2.20 0 [] relation($c9).
% 2.00/2.20 0 [] function($c9).
% 2.00/2.20 0 [] one_to_one($c9).
% 2.00/2.20 0 [] relation_image($c9,$c10)!=relation_inverse_image(function_inverse($c9),$c10).
% 2.00/2.20 0 [] -in(A,B)|element(A,B).
% 2.00/2.20 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.00/2.20 0 [] in($f11(A,B),A)|in($f11(A,B),B)|A=B.
% 2.00/2.20 0 [] -in($f11(A,B),A)| -in($f11(A,B),B)|A=B.
% 2.00/2.20 0 [] -element(A,powerset(B))|subset(A,B).
% 2.00/2.20 0 [] element(A,powerset(B))| -subset(A,B).
% 2.00/2.20 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|in(C,relation_rng(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|D=apply(B,C).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f13(A,B),relation_rng(A))|in($f12(A,B),relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f13(A,B),relation_rng(A))|$f13(A,B)=apply(A,$f12(A,B)).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f12(A,B)=apply(B,$f13(A,B))|in($f12(A,B),relation_dom(A)).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f12(A,B)=apply(B,$f13(A,B))|$f13(A,B)=apply(A,$f12(A,B)).
% 2.00/2.20 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f12(A,B),relation_dom(A))|$f13(A,B)!=apply(A,$f12(A,B))| -in($f13(A,B),relation_rng(A))|$f12(A,B)!=apply(B,$f13(A,B)).
% 2.00/2.20 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_dom(B))|A=apply(function_inverse(B),apply(B,A)).
% 2.00/2.20 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_dom(B))|A=apply(relation_composition(B,function_inverse(B)),A).
% 2.00/2.20 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.00/2.20 0 [] -empty(A)|A=empty_set.
% 2.00/2.20 0 [] -in(A,B)| -empty(B).
% 2.00/2.20 0 [] -empty(A)|A=B| -empty(B).
% 2.00/2.20 end_of_list.
% 2.00/2.20
% 2.00/2.20 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 2.00/2.20
% 2.00/2.20 This ia a non-Horn set with equality. The strategy will be
% 2.00/2.20 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.00/2.20 deletion, with positive clauses in sos and nonpositive
% 2.00/2.20 clauses in usable.
% 2.00/2.20
% 2.00/2.20 dependent: set(knuth_bendix).
% 2.00/2.20 dependent: set(anl_eq).
% 2.00/2.20 dependent: set(para_from).
% 2.00/2.20 dependent: set(para_into).
% 2.00/2.20 dependent: clear(para_from_right).
% 2.00/2.20 dependent: clear(para_into_right).
% 2.00/2.20 dependent: set(para_from_vars).
% 2.00/2.20 dependent: set(eq_units_both_ways).
% 2.00/2.20 dependent: set(dynamic_demod_all).
% 2.00/2.20 dependent: set(dynamic_demod).
% 2.00/2.20 dependent: set(order_eq).
% 2.00/2.20 dependent: set(back_demod).
% 2.00/2.20 dependent: set(lrpo).
% 2.00/2.20 dependent: set(hyper_res).
% 2.00/2.20 dependent: set(unit_deletion).
% 2.00/2.20 dependent: set(factor).
% 2.00/2.20
% 2.00/2.20 ------------> process usable:
% 2.00/2.20 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.00/2.20 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 2.00/2.20 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 2.00/2.20 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.00/2.20 ** KEPT (pick-wt=20): 5 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),relation_dom(A)).
% 2.00/2.20 ** KEPT (pick-wt=19): 6 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),C).
% 2.00/2.20 ** KEPT (pick-wt=21): 8 [copy,7,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f1(A,C,B,D))=D.
% 2.00/2.20 ** KEPT (pick-wt=24): 9 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 2.00/2.20 ** KEPT (pick-wt=22): 10 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),relation_dom(A)).
% 2.00/2.20 ** KEPT (pick-wt=21): 11 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),C).
% 2.00/2.20 ** KEPT (pick-wt=26): 13 [copy,12,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|apply(A,$f2(A,C,B))=$f3(A,C,B).
% 2.00/2.20 ** KEPT (pick-wt=30): 14 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f3(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f3(A,C,B)!=apply(A,D).
% 2.00/2.20 ** KEPT (pick-wt=16): 15 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 2.00/2.20 ** KEPT (pick-wt=17): 16 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 2.00/2.21 ** KEPT (pick-wt=21): 17 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 2.00/2.21 ** KEPT (pick-wt=22): 18 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f4(A,C,B),B)|in($f4(A,C,B),relation_dom(A)).
% 2.00/2.21 ** KEPT (pick-wt=23): 19 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f4(A,C,B),B)|in(apply(A,$f4(A,C,B)),C).
% 2.00/2.21 ** KEPT (pick-wt=30): 20 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f4(A,C,B),B)| -in($f4(A,C,B),relation_dom(A))| -in(apply(A,$f4(A,C,B)),C).
% 2.00/2.21 ** KEPT (pick-wt=18): 21 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f5(A,B,C),relation_dom(A)).
% 2.00/2.21 ** KEPT (pick-wt=19): 23 [copy,22,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f5(A,B,C))=C.
% 2.00/2.21 ** KEPT (pick-wt=20): 24 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.00/2.21 ** KEPT (pick-wt=19): 25 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|in($f6(A,B),relation_dom(A)).
% 2.00/2.21 ** KEPT (pick-wt=22): 27 [copy,26,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|apply(A,$f6(A,B))=$f7(A,B).
% 2.00/2.21 ** KEPT (pick-wt=24): 28 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f7(A,B),B)| -in(C,relation_dom(A))|$f7(A,B)!=apply(A,C).
% 2.00/2.21 ** KEPT (pick-wt=7): 29 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 2.00/2.21 ** KEPT (pick-wt=7): 30 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 2.00/2.21 ** KEPT (pick-wt=8): 31 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.00/2.21 ** KEPT (pick-wt=8): 32 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 2.00/2.21 ** KEPT (pick-wt=8): 33 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 2.00/2.21 Following clause subsumed by 31 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 2.00/2.21 ** KEPT (pick-wt=12): 34 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 2.00/2.21 ** KEPT (pick-wt=3): 35 [] -empty(powerset(A)).
% 2.00/2.21 ** KEPT (pick-wt=7): 36 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.00/2.21 ** KEPT (pick-wt=7): 37 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.00/2.21 ** KEPT (pick-wt=5): 38 [] -empty(A)|empty(relation_dom(A)).
% 2.00/2.21 ** KEPT (pick-wt=5): 39 [] -empty(A)|relation(relation_dom(A)).
% 2.00/2.21 ** KEPT (pick-wt=5): 40 [] -empty(A)|empty(relation_rng(A)).
% 2.00/2.21 ** KEPT (pick-wt=5): 41 [] -empty(A)|relation(relation_rng(A)).
% 2.00/2.21 ** KEPT (pick-wt=8): 42 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 2.00/2.21 ** KEPT (pick-wt=8): 43 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.00/2.21 ** KEPT (pick-wt=5): 44 [] empty(A)| -empty($f9(A)).
% 2.00/2.21 ** KEPT (pick-wt=2): 45 [] -empty($c5).
% 2.00/2.21 ** KEPT (pick-wt=2): 46 [] -empty($c6).
% 2.00/2.21 ** KEPT (pick-wt=8): 48 [copy,47,flip.1] relation_inverse_image(function_inverse($c9),$c10)!=relation_image($c9,$c10).
% 2.00/2.21 ** KEPT (pick-wt=6): 49 [] -in(A,B)|element(A,B).
% 2.00/2.21 ** KEPT (pick-wt=8): 50 [] -element(A,B)|empty(B)|in(A,B).
% 2.00/2.21 ** KEPT (pick-wt=13): 51 [] -in($f11(A,B),A)| -in($f11(A,B),B)|A=B.
% 2.00/2.21 ** KEPT (pick-wt=7): 52 [] -element(A,powerset(B))|subset(A,B).
% 2.00/2.21 ** KEPT (pick-wt=7): 53 [] element(A,powerset(B))| -subset(A,B).
% 2.00/2.21 ** KEPT (pick-wt=10): 54 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.00/2.21 ** KEPT (pick-wt=19): 55 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 2.00/2.21 ** KEPT (pick-wt=27): 56 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 2.00/2.21 ** KEPT (pick-wt=28): 57 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 2.00/2.21 ** KEPT (pick-wt=27): 58 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|in(D,relation_rng(A)).
% 2.00/2.21 ** KEPT (pick-wt=28): 59 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|C=apply(B,D).
% 6.17/6.39 ** KEPT (pick-wt=31): 60 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f13(A,B),relation_rng(A))|in($f12(A,B),relation_dom(A)).
% 6.17/6.39 ** KEPT (pick-wt=34): 62 [copy,61,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f13(A,B),relation_rng(A))|apply(A,$f12(A,B))=$f13(A,B).
% 6.17/6.39 ** KEPT (pick-wt=34): 64 [copy,63,flip.8] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f13(A,B))=$f12(A,B)|in($f12(A,B),relation_dom(A)).
% 6.17/6.39 ** KEPT (pick-wt=37): 66 [copy,65,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f13(A,B))=$f12(A,B)|apply(A,$f12(A,B))=$f13(A,B).
% 6.17/6.39 ** KEPT (pick-wt=49): 68 [copy,67,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f12(A,B),relation_dom(A))|apply(A,$f12(A,B))!=$f13(A,B)| -in($f13(A,B),relation_rng(A))|apply(B,$f13(A,B))!=$f12(A,B).
% 6.17/6.39 ** KEPT (pick-wt=18): 70 [copy,69,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))|apply(function_inverse(A),apply(A,B))=B.
% 6.17/6.39 ** KEPT (pick-wt=18): 72 [copy,71,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))|apply(relation_composition(A,function_inverse(A)),B)=B.
% 6.17/6.39 ** KEPT (pick-wt=9): 73 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 6.17/6.39 ** KEPT (pick-wt=5): 74 [] -empty(A)|A=empty_set.
% 6.17/6.39 ** KEPT (pick-wt=5): 75 [] -in(A,B)| -empty(B).
% 6.17/6.39 ** KEPT (pick-wt=7): 76 [] -empty(A)|A=B| -empty(B).
% 6.17/6.39
% 6.17/6.39 ------------> process sos:
% 6.17/6.39 ** KEPT (pick-wt=3): 100 [] A=A.
% 6.17/6.39 ** KEPT (pick-wt=4): 101 [] element($f8(A),A).
% 6.17/6.39 ** KEPT (pick-wt=2): 102 [] empty(empty_set).
% 6.17/6.39 ** KEPT (pick-wt=2): 103 [] relation(empty_set).
% 6.17/6.39 ** KEPT (pick-wt=2): 104 [] relation_empty_yielding(empty_set).
% 6.17/6.39 Following clause subsumed by 102 during input processing: 0 [] empty(empty_set).
% 6.17/6.39 Following clause subsumed by 102 during input processing: 0 [] empty(empty_set).
% 6.17/6.39 Following clause subsumed by 103 during input processing: 0 [] relation(empty_set).
% 6.17/6.39 ** KEPT (pick-wt=2): 105 [] relation($c1).
% 6.17/6.39 ** KEPT (pick-wt=2): 106 [] function($c1).
% 6.17/6.39 ** KEPT (pick-wt=2): 107 [] empty($c2).
% 6.17/6.39 ** KEPT (pick-wt=2): 108 [] relation($c2).
% 6.17/6.39 ** KEPT (pick-wt=7): 109 [] empty(A)|element($f9(A),powerset(A)).
% 6.17/6.39 ** KEPT (pick-wt=2): 110 [] empty($c3).
% 6.17/6.39 ** KEPT (pick-wt=2): 111 [] relation($c4).
% 6.17/6.39 ** KEPT (pick-wt=2): 112 [] empty($c4).
% 6.17/6.39 ** KEPT (pick-wt=2): 113 [] function($c4).
% 6.17/6.39 ** KEPT (pick-wt=2): 114 [] relation($c5).
% 6.17/6.39 ** KEPT (pick-wt=5): 115 [] element($f10(A),powerset(A)).
% 6.17/6.39 ** KEPT (pick-wt=3): 116 [] empty($f10(A)).
% 6.17/6.39 ** KEPT (pick-wt=2): 117 [] relation($c7).
% 6.17/6.39 ** KEPT (pick-wt=2): 118 [] function($c7).
% 6.17/6.39 ** KEPT (pick-wt=2): 119 [] one_to_one($c7).
% 6.17/6.39 ** KEPT (pick-wt=2): 120 [] relation($c8).
% 6.17/6.39 ** KEPT (pick-wt=2): 121 [] relation_empty_yielding($c8).
% 6.17/6.39 ** KEPT (pick-wt=3): 122 [] subset(A,A).
% 6.17/6.39 ** KEPT (pick-wt=2): 123 [] relation($c9).
% 6.17/6.39 ** KEPT (pick-wt=2): 124 [] function($c9).
% 6.17/6.39 ** KEPT (pick-wt=2): 125 [] one_to_one($c9).
% 6.17/6.39 ** KEPT (pick-wt=13): 126 [] in($f11(A,B),A)|in($f11(A,B),B)|A=B.
% 6.17/6.39 Following clause subsumed by 100 during input processing: 0 [copy,100,flip.1] A=A.
% 6.17/6.39 100 back subsumes 98.
% 6.17/6.39 100 back subsumes 87.
% 6.17/6.39
% 6.17/6.39 ======= end of input processing =======
% 6.17/6.39
% 6.17/6.39 =========== start of search ===========
% 6.17/6.39
% 6.17/6.39
% 6.17/6.39 Resetting weight limit to 3.
% 6.17/6.39
% 6.17/6.39
% 6.17/6.39 Resetting weight limit to 3.
% 6.17/6.39
% 6.17/6.39 sos_size=361
% 6.17/6.39
% 6.17/6.39 Search stopped because sos empty.
% 6.17/6.39
% 6.17/6.39
% 6.17/6.39 Search stopped because sos empty.
% 6.17/6.39
% 6.17/6.39 ============ end of search ============
% 6.17/6.39
% 6.17/6.39 -------------- statistics -------------
% 6.17/6.39 clauses given 396
% 6.17/6.39 clauses generated 138277
% 6.17/6.39 clauses kept 587
% 6.17/6.39 clauses forward subsumed 431
% 6.17/6.39 clauses back subsumed 2
% 6.17/6.39 Kbytes malloced 6835
% 6.17/6.39
% 6.17/6.39 ----------- times (seconds) -----------
% 6.17/6.39 user CPU time 4.18 (0 hr, 0 min, 4 sec)
% 6.17/6.39 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 6.17/6.39 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.17/6.39
% 6.17/6.39 Process 23175 finished Wed Jul 27 07:41:26 2022
% 6.17/6.39 Otter interrupted
% 6.17/6.39 PROOF NOT FOUND
%------------------------------------------------------------------------------