TSTP Solution File: SEU074+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU074+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 13:14:44 EDT 2022
% Result : Unknown 6.64s 6.82s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU074+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.12 % 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 07:51:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.91/2.11 ----- Otter 3.3f, August 2004 -----
% 1.91/2.11 The process was started by sandbox on n010.cluster.edu,
% 1.91/2.11 Wed Jul 27 07:51:10 2022
% 1.91/2.11 The command was "./otter". The process ID is 3132.
% 1.91/2.11
% 1.91/2.11 set(prolog_style_variables).
% 1.91/2.11 set(auto).
% 1.91/2.11 dependent: set(auto1).
% 1.91/2.11 dependent: set(process_input).
% 1.91/2.11 dependent: clear(print_kept).
% 1.91/2.11 dependent: clear(print_new_demod).
% 1.91/2.11 dependent: clear(print_back_demod).
% 1.91/2.11 dependent: clear(print_back_sub).
% 1.91/2.11 dependent: set(control_memory).
% 1.91/2.11 dependent: assign(max_mem, 12000).
% 1.91/2.11 dependent: assign(pick_given_ratio, 4).
% 1.91/2.11 dependent: assign(stats_level, 1).
% 1.91/2.11 dependent: assign(max_seconds, 10800).
% 1.91/2.11 clear(print_given).
% 1.91/2.11
% 1.91/2.11 formula_list(usable).
% 1.91/2.11 all A (A=A).
% 1.91/2.11 all A B (in(A,B)-> -in(B,A)).
% 1.91/2.11 all A (empty(A)->function(A)).
% 1.91/2.11 all A (empty(A)->relation(A)).
% 1.91/2.11 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.91/2.11 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)))))))).
% 1.91/2.11 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)))))).
% 1.91/2.11 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)))))))).
% 1.91/2.11 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 1.91/2.11 all A exists B element(B,A).
% 1.91/2.11 empty(empty_set).
% 1.91/2.11 relation(empty_set).
% 1.91/2.11 relation_empty_yielding(empty_set).
% 1.91/2.11 all A (-empty(powerset(A))).
% 1.91/2.11 empty(empty_set).
% 1.91/2.11 empty(empty_set).
% 1.91/2.11 relation(empty_set).
% 1.91/2.11 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.91/2.11 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 1.91/2.11 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.91/2.11 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 1.91/2.11 exists A (relation(A)&function(A)).
% 1.91/2.11 exists A (empty(A)&relation(A)).
% 1.91/2.11 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.91/2.11 exists A empty(A).
% 1.91/2.11 exists A (relation(A)&empty(A)&function(A)).
% 1.91/2.11 exists A (-empty(A)&relation(A)).
% 1.91/2.11 all A exists B (element(B,powerset(A))&empty(B)).
% 1.91/2.11 exists A (-empty(A)).
% 1.91/2.11 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.91/2.11 exists A (relation(A)&relation_empty_yielding(A)).
% 1.91/2.11 all A B subset(A,A).
% 1.91/2.11 -(all A B (relation(B)&function(B)-> (one_to_one(B)->relation_inverse_image(B,A)=relation_image(function_inverse(B),A)))).
% 1.91/2.11 all A B (in(A,B)->element(A,B)).
% 1.91/2.11 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.91/2.11 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 1.91/2.11 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.91/2.11 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.91/2.11 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))))))))).
% 1.91/2.11 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.91/2.11 all A (empty(A)->A=empty_set).
% 1.91/2.11 all A B (-(in(A,B)&empty(B))).
% 1.91/2.11 all A B (-(empty(A)&A!=B&empty(B))).
% 1.91/2.11 end_of_list.
% 1.91/2.11
% 1.91/2.11 -------> usable clausifies to:
% 1.91/2.11
% 1.91/2.11 list(usable).
% 1.91/2.11 0 [] A=A.
% 1.91/2.11 0 [] -in(A,B)| -in(B,A).
% 1.91/2.11 0 [] -empty(A)|function(A).
% 1.91/2.11 0 [] -empty(A)|relation(A).
% 1.91/2.11 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),relation_dom(A)).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),B).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f1(A,B,C,D)).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)|in(D,C)| -in(E,relation_dom(A))| -in(E,B)|D!=apply(A,E).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),relation_dom(A)).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),B).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|$f3(A,B,C)=apply(A,$f2(A,B,C)).
% 1.91/2.11 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).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 1.91/2.11 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 1.91/2.11 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)).
% 1.91/2.11 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).
% 1.91/2.11 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,$f4(A,B,C)),B).
% 1.91/2.11 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f5(A,B,C),relation_dom(A)).
% 1.91/2.11 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f5(A,B,C)).
% 1.91/2.11 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 1.91/2.11 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|in($f6(A,B),relation_dom(A)).
% 1.91/2.11 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|$f7(A,B)=apply(A,$f6(A,B)).
% 1.91/2.11 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).
% 1.91/2.11 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 1.91/2.11 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 1.91/2.11 0 [] element($f8(A),A).
% 1.91/2.11 0 [] empty(empty_set).
% 1.91/2.11 0 [] relation(empty_set).
% 1.91/2.11 0 [] relation_empty_yielding(empty_set).
% 1.91/2.11 0 [] -empty(powerset(A)).
% 1.91/2.11 0 [] empty(empty_set).
% 1.91/2.11 0 [] empty(empty_set).
% 1.91/2.11 0 [] relation(empty_set).
% 1.91/2.11 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.91/2.11 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.91/2.11 0 [] -empty(A)|empty(relation_dom(A)).
% 1.91/2.11 0 [] -empty(A)|relation(relation_dom(A)).
% 1.91/2.11 0 [] -empty(A)|empty(relation_rng(A)).
% 1.91/2.11 0 [] -empty(A)|relation(relation_rng(A)).
% 1.91/2.11 0 [] relation($c1).
% 1.91/2.11 0 [] function($c1).
% 1.91/2.11 0 [] empty($c2).
% 1.91/2.11 0 [] relation($c2).
% 1.91/2.11 0 [] empty(A)|element($f9(A),powerset(A)).
% 1.91/2.11 0 [] empty(A)| -empty($f9(A)).
% 1.91/2.11 0 [] empty($c3).
% 1.91/2.11 0 [] relation($c4).
% 1.91/2.11 0 [] empty($c4).
% 1.91/2.11 0 [] function($c4).
% 1.91/2.11 0 [] -empty($c5).
% 1.91/2.11 0 [] relation($c5).
% 1.91/2.11 0 [] element($f10(A),powerset(A)).
% 1.91/2.11 0 [] empty($f10(A)).
% 1.91/2.11 0 [] -empty($c6).
% 1.91/2.11 0 [] relation($c7).
% 1.91/2.11 0 [] function($c7).
% 1.91/2.11 0 [] one_to_one($c7).
% 1.91/2.11 0 [] relation($c8).
% 1.91/2.11 0 [] relation_empty_yielding($c8).
% 1.91/2.11 0 [] subset(A,A).
% 1.91/2.11 0 [] relation($c9).
% 1.91/2.11 0 [] function($c9).
% 1.91/2.11 0 [] one_to_one($c9).
% 1.91/2.11 0 [] relation_inverse_image($c9,$c10)!=relation_image(function_inverse($c9),$c10).
% 1.91/2.11 0 [] -in(A,B)|element(A,B).
% 1.91/2.11 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.91/2.11 0 [] in($f11(A,B),A)|in($f11(A,B),B)|A=B.
% 1.91/2.11 0 [] -in($f11(A,B),A)| -in($f11(A,B),B)|A=B.
% 1.91/2.11 0 [] -element(A,powerset(B))|subset(A,B).
% 1.91/2.11 0 [] element(A,powerset(B))| -subset(A,B).
% 1.91/2.11 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.91/2.11 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 1.91/2.11 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)).
% 1.91/2.11 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).
% 1.91/2.11 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)).
% 1.91/2.11 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).
% 1.91/2.11 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)).
% 1.91/2.11 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,$f12(A,B)).
% 1.91/2.11 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f12(A,B)=apply(B,$f13(A,B))|in($f12(A,B),relation_dom(A)).
% 1.91/2.11 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)).
% 1.94/2.11 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)).
% 1.94/2.11 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.94/2.11 0 [] -empty(A)|A=empty_set.
% 1.94/2.11 0 [] -in(A,B)| -empty(B).
% 1.94/2.11 0 [] -empty(A)|A=B| -empty(B).
% 1.94/2.11 end_of_list.
% 1.94/2.11
% 1.94/2.11 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 1.94/2.11
% 1.94/2.11 This ia a non-Horn set with equality. The strategy will be
% 1.94/2.11 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.94/2.11 deletion, with positive clauses in sos and nonpositive
% 1.94/2.11 clauses in usable.
% 1.94/2.11
% 1.94/2.11 dependent: set(knuth_bendix).
% 1.94/2.11 dependent: set(anl_eq).
% 1.94/2.11 dependent: set(para_from).
% 1.94/2.11 dependent: set(para_into).
% 1.94/2.11 dependent: clear(para_from_right).
% 1.94/2.11 dependent: clear(para_into_right).
% 1.94/2.11 dependent: set(para_from_vars).
% 1.94/2.12 dependent: set(eq_units_both_ways).
% 1.94/2.12 dependent: set(dynamic_demod_all).
% 1.94/2.12 dependent: set(dynamic_demod).
% 1.94/2.12 dependent: set(order_eq).
% 1.94/2.12 dependent: set(back_demod).
% 1.94/2.12 dependent: set(lrpo).
% 1.94/2.12 dependent: set(hyper_res).
% 1.94/2.12 dependent: set(unit_deletion).
% 1.94/2.12 dependent: set(factor).
% 1.94/2.12
% 1.94/2.12 ------------> process usable:
% 1.94/2.12 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.94/2.12 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.94/2.12 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.94/2.12 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.94/2.12 ** KEPT (pick-wt=20): 5 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=19): 6 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),C).
% 1.94/2.12 ** KEPT (pick-wt=21): 8 [copy,7,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f1(A,C,B,D))=D.
% 1.94/2.12 ** KEPT (pick-wt=24): 9 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 1.94/2.12 ** KEPT (pick-wt=22): 10 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=21): 11 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),C).
% 1.94/2.12 ** KEPT (pick-wt=26): 13 [copy,12,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|apply(A,$f2(A,C,B))=$f3(A,C,B).
% 1.94/2.12 ** 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).
% 1.94/2.12 ** KEPT (pick-wt=16): 15 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=17): 16 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 1.94/2.12 ** 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).
% 1.94/2.12 ** 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)).
% 1.94/2.12 ** 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).
% 1.94/2.12 ** 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,$f4(A,C,B)),C).
% 1.94/2.12 ** KEPT (pick-wt=18): 21 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f5(A,B,C),relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=19): 23 [copy,22,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f5(A,B,C))=C.
% 1.94/2.12 ** KEPT (pick-wt=20): 24 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 1.94/2.12 ** KEPT (pick-wt=19): 25 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|in($f6(A,B),relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=22): 27 [copy,26,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|apply(A,$f6(A,B))=$f7(A,B).
% 1.94/2.12 ** 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).
% 1.94/2.12 ** KEPT (pick-wt=7): 29 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 1.94/2.12 ** KEPT (pick-wt=7): 30 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 1.94/2.12 ** KEPT (pick-wt=3): 31 [] -empty(powerset(A)).
% 1.94/2.12 ** KEPT (pick-wt=7): 32 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=7): 33 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.94/2.12 ** KEPT (pick-wt=5): 34 [] -empty(A)|empty(relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=5): 35 [] -empty(A)|relation(relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=5): 36 [] -empty(A)|empty(relation_rng(A)).
% 1.94/2.12 ** KEPT (pick-wt=5): 37 [] -empty(A)|relation(relation_rng(A)).
% 1.94/2.12 ** KEPT (pick-wt=5): 38 [] empty(A)| -empty($f9(A)).
% 1.94/2.12 ** KEPT (pick-wt=2): 39 [] -empty($c5).
% 1.94/2.12 ** KEPT (pick-wt=2): 40 [] -empty($c6).
% 1.94/2.12 ** KEPT (pick-wt=8): 42 [copy,41,flip.1] relation_image(function_inverse($c9),$c10)!=relation_inverse_image($c9,$c10).
% 1.94/2.12 ** KEPT (pick-wt=6): 43 [] -in(A,B)|element(A,B).
% 1.94/2.12 ** KEPT (pick-wt=8): 44 [] -element(A,B)|empty(B)|in(A,B).
% 1.94/2.12 ** KEPT (pick-wt=13): 45 [] -in($f11(A,B),A)| -in($f11(A,B),B)|A=B.
% 1.94/2.12 ** KEPT (pick-wt=7): 46 [] -element(A,powerset(B))|subset(A,B).
% 1.94/2.12 ** KEPT (pick-wt=7): 47 [] element(A,powerset(B))| -subset(A,B).
% 1.94/2.12 ** KEPT (pick-wt=10): 48 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.94/2.12 ** KEPT (pick-wt=19): 49 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 1.94/2.12 ** KEPT (pick-wt=27): 50 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=28): 51 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 1.94/2.12 ** KEPT (pick-wt=27): 52 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|in(D,relation_rng(A)).
% 1.94/2.12 ** KEPT (pick-wt=28): 53 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|C=apply(B,D).
% 1.94/2.12 ** KEPT (pick-wt=31): 54 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f13(A,B),relation_rng(A))|in($f12(A,B),relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=34): 56 [copy,55,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f13(A,B),relation_rng(A))|apply(A,$f12(A,B))=$f13(A,B).
% 1.94/2.12 ** KEPT (pick-wt=34): 58 [copy,57,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($f12(A,B),relation_dom(A)).
% 1.94/2.12 ** KEPT (pick-wt=37): 60 [copy,59,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f13(A,B))=$f12(A,B)|apply(A,$f12(A,B))=$f13(A,B).
% 1.94/2.12 ** KEPT (pick-wt=49): 62 [copy,61,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($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))!=$f12(A,B).
% 1.94/2.12 ** KEPT (pick-wt=9): 63 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.94/2.12 ** KEPT (pick-wt=5): 64 [] -empty(A)|A=empty_set.
% 1.94/2.12 ** KEPT (pick-wt=5): 65 [] -in(A,B)| -empty(B).
% 1.94/2.12 ** KEPT (pick-wt=7): 66 [] -empty(A)|A=B| -empty(B).
% 1.94/2.12
% 1.94/2.12 ------------> process sos:
% 1.94/2.12 ** KEPT (pick-wt=3): 88 [] A=A.
% 1.94/2.12 ** KEPT (pick-wt=4): 89 [] element($f8(A),A).
% 1.94/2.12 ** KEPT (pick-wt=2): 90 [] empty(empty_set).
% 1.94/2.12 ** KEPT (pick-wt=2): 91 [] relation(empty_set).
% 1.94/2.12 ** KEPT (pick-wt=2): 92 [] relation_empty_yielding(empty_set).
% 1.94/2.12 Following clause subsumed by 90 during input processing: 0 [] empty(empty_set).
% 1.94/2.12 Following clause subsumed by 90 during input processing: 0 [] empty(empty_set).
% 1.94/2.12 Following clause subsumed by 91 during input processing: 0 [] relation(empty_set).
% 6.64/6.82 ** KEPT (pick-wt=2): 93 [] relation($c1).
% 6.64/6.82 ** KEPT (pick-wt=2): 94 [] function($c1).
% 6.64/6.82 ** KEPT (pick-wt=2): 95 [] empty($c2).
% 6.64/6.82 ** KEPT (pick-wt=2): 96 [] relation($c2).
% 6.64/6.82 ** KEPT (pick-wt=7): 97 [] empty(A)|element($f9(A),powerset(A)).
% 6.64/6.82 ** KEPT (pick-wt=2): 98 [] empty($c3).
% 6.64/6.82 ** KEPT (pick-wt=2): 99 [] relation($c4).
% 6.64/6.82 ** KEPT (pick-wt=2): 100 [] empty($c4).
% 6.64/6.82 ** KEPT (pick-wt=2): 101 [] function($c4).
% 6.64/6.82 ** KEPT (pick-wt=2): 102 [] relation($c5).
% 6.64/6.82 ** KEPT (pick-wt=5): 103 [] element($f10(A),powerset(A)).
% 6.64/6.82 ** KEPT (pick-wt=3): 104 [] empty($f10(A)).
% 6.64/6.82 ** KEPT (pick-wt=2): 105 [] relation($c7).
% 6.64/6.82 ** KEPT (pick-wt=2): 106 [] function($c7).
% 6.64/6.82 ** KEPT (pick-wt=2): 107 [] one_to_one($c7).
% 6.64/6.82 ** KEPT (pick-wt=2): 108 [] relation($c8).
% 6.64/6.82 ** KEPT (pick-wt=2): 109 [] relation_empty_yielding($c8).
% 6.64/6.82 ** KEPT (pick-wt=3): 110 [] subset(A,A).
% 6.64/6.82 ** KEPT (pick-wt=2): 111 [] relation($c9).
% 6.64/6.82 ** KEPT (pick-wt=2): 112 [] function($c9).
% 6.64/6.82 ** KEPT (pick-wt=2): 113 [] one_to_one($c9).
% 6.64/6.82 ** KEPT (pick-wt=13): 114 [] in($f11(A,B),A)|in($f11(A,B),B)|A=B.
% 6.64/6.82 Following clause subsumed by 88 during input processing: 0 [copy,88,flip.1] A=A.
% 6.64/6.82 88 back subsumes 86.
% 6.64/6.82 88 back subsumes 75.
% 6.64/6.82
% 6.64/6.82 ======= end of input processing =======
% 6.64/6.82
% 6.64/6.82 =========== start of search ===========
% 6.64/6.82
% 6.64/6.82
% 6.64/6.82 Resetting weight limit to 3.
% 6.64/6.82
% 6.64/6.82
% 6.64/6.82 Resetting weight limit to 3.
% 6.64/6.82
% 6.64/6.82 sos_size=369
% 6.64/6.82
% 6.64/6.82 Search stopped because sos empty.
% 6.64/6.82
% 6.64/6.82
% 6.64/6.82 Search stopped because sos empty.
% 6.64/6.82
% 6.64/6.82 ============ end of search ============
% 6.64/6.82
% 6.64/6.82 -------------- statistics -------------
% 6.64/6.82 clauses given 404
% 6.64/6.82 clauses generated 156269
% 6.64/6.82 clauses kept 568
% 6.64/6.82 clauses forward subsumed 365
% 6.64/6.82 clauses back subsumed 2
% 6.64/6.82 Kbytes malloced 6835
% 6.64/6.82
% 6.64/6.82 ----------- times (seconds) -----------
% 6.64/6.82 user CPU time 4.71 (0 hr, 0 min, 4 sec)
% 6.64/6.82 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 6.64/6.82 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.64/6.82
% 6.64/6.82 Process 3132 finished Wed Jul 27 07:51:16 2022
% 6.64/6.82 Otter interrupted
% 6.64/6.82 PROOF NOT FOUND
%------------------------------------------------------------------------------