TSTP Solution File: SEU027+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:14:41 EDT 2022
% Result : Unknown 21.93s 22.19s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 07:48:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.91/2.14 ----- Otter 3.3f, August 2004 -----
% 1.91/2.14 The process was started by sandbox2 on n007.cluster.edu,
% 1.91/2.14 Wed Jul 27 07:48:16 2022
% 1.91/2.14 The command was "./otter". The process ID is 9908.
% 1.91/2.14
% 1.91/2.14 set(prolog_style_variables).
% 1.91/2.14 set(auto).
% 1.91/2.14 dependent: set(auto1).
% 1.91/2.14 dependent: set(process_input).
% 1.91/2.14 dependent: clear(print_kept).
% 1.91/2.14 dependent: clear(print_new_demod).
% 1.91/2.14 dependent: clear(print_back_demod).
% 1.91/2.14 dependent: clear(print_back_sub).
% 1.91/2.14 dependent: set(control_memory).
% 1.91/2.14 dependent: assign(max_mem, 12000).
% 1.91/2.14 dependent: assign(pick_given_ratio, 4).
% 1.91/2.14 dependent: assign(stats_level, 1).
% 1.91/2.14 dependent: assign(max_seconds, 10800).
% 1.91/2.14 clear(print_given).
% 1.91/2.14
% 1.91/2.14 formula_list(usable).
% 1.91/2.14 all A (A=A).
% 1.91/2.14 all A B (in(A,B)-> -in(B,A)).
% 1.91/2.14 all A (empty(A)->function(A)).
% 1.91/2.14 all A (empty(A)->relation(A)).
% 1.91/2.14 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.91/2.14 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)))))))).
% 1.91/2.14 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 1.91/2.14 all A exists B element(B,A).
% 1.91/2.14 empty(empty_set).
% 1.91/2.14 relation(empty_set).
% 1.91/2.14 relation_empty_yielding(empty_set).
% 1.91/2.14 all A (-empty(powerset(A))).
% 1.91/2.14 empty(empty_set).
% 1.91/2.14 empty(empty_set).
% 1.91/2.14 relation(empty_set).
% 1.91/2.14 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.91/2.14 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 1.91/2.14 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.91/2.14 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 1.91/2.14 exists A (relation(A)&function(A)).
% 1.91/2.14 exists A (empty(A)&relation(A)).
% 1.91/2.14 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.91/2.14 exists A empty(A).
% 1.91/2.14 exists A (relation(A)&empty(A)&function(A)).
% 1.91/2.14 exists A (-empty(A)&relation(A)).
% 1.91/2.14 all A exists B (element(B,powerset(A))&empty(B)).
% 1.91/2.14 exists A (-empty(A)).
% 1.91/2.14 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.91/2.14 exists A (relation(A)&relation_empty_yielding(A)).
% 1.91/2.14 all A B subset(A,A).
% 1.91/2.14 all A B (in(A,B)->element(A,B)).
% 1.91/2.14 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.91/2.14 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.91/2.14 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.91/2.14 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))))))))).
% 1.91/2.14 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.91/2.14 -(all A (relation(A)&function(A)-> (all B (relation(B)&function(B)-> (one_to_one(A)&relation_dom(A)=relation_rng(B)&relation_rng(A)=relation_dom(B)& (all C D (in(C,relation_dom(A))&in(D,relation_dom(B))-> (apply(A,C)=D<->apply(B,D)=C)))->B=function_inverse(A)))))).
% 1.91/2.14 all A (empty(A)->A=empty_set).
% 1.91/2.14 all A B (-(in(A,B)&empty(B))).
% 1.91/2.14 all A B (-(empty(A)&A!=B&empty(B))).
% 1.91/2.14 all A (relation(A)&function(A)-> (all B (relation(B)&function(B)-> (relation_dom(A)=relation_dom(B)& (all C (in(C,relation_dom(A))->apply(A,C)=apply(B,C)))->A=B)))).
% 1.91/2.14 end_of_list.
% 1.91/2.14
% 1.91/2.14 -------> usable clausifies to:
% 1.91/2.14
% 1.91/2.14 list(usable).
% 1.91/2.14 0 [] A=A.
% 1.91/2.14 0 [] -in(A,B)| -in(B,A).
% 1.91/2.14 0 [] -empty(A)|function(A).
% 1.91/2.14 0 [] -empty(A)|relation(A).
% 1.91/2.14 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.91/2.14 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f1(A,B,C),relation_dom(A)).
% 1.91/2.14 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f1(A,B,C)).
% 1.91/2.14 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 1.91/2.14 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f3(A,B),B)|in($f2(A,B),relation_dom(A)).
% 1.91/2.14 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f3(A,B),B)|$f3(A,B)=apply(A,$f2(A,B)).
% 1.91/2.14 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f3(A,B),B)| -in(X1,relation_dom(A))|$f3(A,B)!=apply(A,X1).
% 1.91/2.14 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 1.91/2.14 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 1.91/2.14 0 [] element($f4(A),A).
% 1.91/2.14 0 [] empty(empty_set).
% 1.91/2.14 0 [] relation(empty_set).
% 1.91/2.14 0 [] relation_empty_yielding(empty_set).
% 1.91/2.14 0 [] -empty(powerset(A)).
% 1.91/2.14 0 [] empty(empty_set).
% 1.91/2.14 0 [] empty(empty_set).
% 1.91/2.14 0 [] relation(empty_set).
% 1.91/2.14 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.91/2.14 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.91/2.14 0 [] -empty(A)|empty(relation_dom(A)).
% 1.91/2.14 0 [] -empty(A)|relation(relation_dom(A)).
% 1.91/2.14 0 [] -empty(A)|empty(relation_rng(A)).
% 1.91/2.14 0 [] -empty(A)|relation(relation_rng(A)).
% 1.91/2.14 0 [] relation($c1).
% 1.91/2.14 0 [] function($c1).
% 1.91/2.14 0 [] empty($c2).
% 1.91/2.14 0 [] relation($c2).
% 1.91/2.14 0 [] empty(A)|element($f5(A),powerset(A)).
% 1.91/2.14 0 [] empty(A)| -empty($f5(A)).
% 1.91/2.14 0 [] empty($c3).
% 1.91/2.14 0 [] relation($c4).
% 1.91/2.14 0 [] empty($c4).
% 1.91/2.14 0 [] function($c4).
% 1.91/2.14 0 [] -empty($c5).
% 1.91/2.14 0 [] relation($c5).
% 1.91/2.14 0 [] element($f6(A),powerset(A)).
% 1.91/2.14 0 [] empty($f6(A)).
% 1.91/2.14 0 [] -empty($c6).
% 1.91/2.14 0 [] relation($c7).
% 1.91/2.14 0 [] function($c7).
% 1.91/2.14 0 [] one_to_one($c7).
% 1.91/2.14 0 [] relation($c8).
% 1.91/2.14 0 [] relation_empty_yielding($c8).
% 1.91/2.14 0 [] subset(A,A).
% 1.91/2.14 0 [] -in(A,B)|element(A,B).
% 1.91/2.14 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.91/2.14 0 [] -element(A,powerset(B))|subset(A,B).
% 1.91/2.14 0 [] element(A,powerset(B))| -subset(A,B).
% 1.91/2.14 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.91/2.14 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 1.91/2.14 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)).
% 1.91/2.14 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).
% 1.91/2.14 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)).
% 1.91/2.14 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).
% 1.91/2.14 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f8(A,B),relation_rng(A))|in($f7(A,B),relation_dom(A)).
% 1.91/2.14 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f8(A,B),relation_rng(A))|$f8(A,B)=apply(A,$f7(A,B)).
% 1.91/2.14 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f7(A,B)=apply(B,$f8(A,B))|in($f7(A,B),relation_dom(A)).
% 1.91/2.14 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f7(A,B)=apply(B,$f8(A,B))|$f8(A,B)=apply(A,$f7(A,B)).
% 1.91/2.14 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f7(A,B),relation_dom(A))|$f8(A,B)!=apply(A,$f7(A,B))| -in($f8(A,B),relation_rng(A))|$f7(A,B)!=apply(B,$f8(A,B)).
% 1.91/2.14 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.91/2.14 0 [] relation($c10).
% 1.91/2.14 0 [] function($c10).
% 1.91/2.14 0 [] relation($c9).
% 1.91/2.14 0 [] function($c9).
% 1.91/2.14 0 [] one_to_one($c10).
% 1.91/2.14 0 [] relation_dom($c10)=relation_rng($c9).
% 1.91/2.14 0 [] relation_rng($c10)=relation_dom($c9).
% 1.91/2.14 0 [] -in(C,relation_dom($c10))| -in(D,relation_dom($c9))|apply($c10,C)!=D|apply($c9,D)=C.
% 1.91/2.14 0 [] -in(C,relation_dom($c10))| -in(D,relation_dom($c9))|apply($c10,C)=D|apply($c9,D)!=C.
% 1.91/2.14 0 [] $c9!=function_inverse($c10).
% 1.91/2.14 0 [] -empty(A)|A=empty_set.
% 1.91/2.14 0 [] -in(A,B)| -empty(B).
% 1.91/2.14 0 [] -empty(A)|A=B| -empty(B).
% 1.91/2.14 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|in($f9(A,B),relation_dom(A))|A=B.
% 1.91/2.14 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|apply(A,$f9(A,B))!=apply(B,$f9(A,B))|A=B.
% 1.91/2.14 end_of_list.
% 1.91/2.14
% 1.91/2.14 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 1.91/2.14
% 1.91/2.14 This ia a non-Horn set with equality. The strategy will be
% 1.91/2.14 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.91/2.14 deletion, with positive clauses in sos and nonpositive
% 1.91/2.14 clauses in usable.
% 1.91/2.14
% 1.91/2.14 dependent: set(knuth_bendix).
% 1.91/2.14 dependent: set(anl_eq).
% 1.91/2.14 dependent: set(para_from).
% 1.91/2.14 dependent: set(para_into).
% 1.91/2.14 dependent: clear(para_from_right).
% 1.91/2.14 dependent: clear(para_into_right).
% 1.91/2.14 dependent: set(para_from_vars).
% 1.91/2.14 dependent: set(eq_units_both_ways).
% 1.91/2.14 dependent: set(dynamic_demod_all).
% 1.91/2.14 dependent: set(dynamic_demod).
% 1.91/2.14 dependent: set(order_eq).
% 1.91/2.14 dependent: set(back_demod).
% 1.91/2.14 dependent: set(lrpo).
% 1.91/2.14 dependent: set(hyper_res).
% 1.91/2.14 dependent: set(unit_deletion).
% 1.91/2.14 dependent: set(factor).
% 1.91/2.14
% 1.91/2.14 ------------> process usable:
% 1.91/2.14 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.91/2.14 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.91/2.14 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.91/2.14 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.91/2.14 ** KEPT (pick-wt=18): 5 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f1(A,B,C),relation_dom(A)).
% 1.91/2.14 ** KEPT (pick-wt=19): 7 [copy,6,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f1(A,B,C))=C.
% 1.91/2.14 ** KEPT (pick-wt=20): 8 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 1.91/2.14 ** KEPT (pick-wt=19): 9 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f3(A,B),B)|in($f2(A,B),relation_dom(A)).
% 1.91/2.14 ** KEPT (pick-wt=22): 11 [copy,10,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f3(A,B),B)|apply(A,$f2(A,B))=$f3(A,B).
% 1.91/2.14 ** KEPT (pick-wt=24): 12 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f3(A,B),B)| -in(C,relation_dom(A))|$f3(A,B)!=apply(A,C).
% 1.91/2.14 ** KEPT (pick-wt=7): 13 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 1.91/2.14 ** KEPT (pick-wt=7): 14 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 1.91/2.14 ** KEPT (pick-wt=3): 15 [] -empty(powerset(A)).
% 1.91/2.14 ** KEPT (pick-wt=7): 16 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.91/2.14 ** KEPT (pick-wt=7): 17 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.91/2.14 ** KEPT (pick-wt=5): 18 [] -empty(A)|empty(relation_dom(A)).
% 1.91/2.14 ** KEPT (pick-wt=5): 19 [] -empty(A)|relation(relation_dom(A)).
% 1.91/2.14 ** KEPT (pick-wt=5): 20 [] -empty(A)|empty(relation_rng(A)).
% 1.91/2.14 ** KEPT (pick-wt=5): 21 [] -empty(A)|relation(relation_rng(A)).
% 1.91/2.14 ** KEPT (pick-wt=5): 22 [] empty(A)| -empty($f5(A)).
% 1.91/2.14 ** KEPT (pick-wt=2): 23 [] -empty($c5).
% 1.91/2.14 ** KEPT (pick-wt=2): 24 [] -empty($c6).
% 1.91/2.14 ** KEPT (pick-wt=6): 25 [] -in(A,B)|element(A,B).
% 1.91/2.14 ** KEPT (pick-wt=8): 26 [] -element(A,B)|empty(B)|in(A,B).
% 1.91/2.14 ** KEPT (pick-wt=7): 27 [] -element(A,powerset(B))|subset(A,B).
% 1.91/2.14 ** KEPT (pick-wt=7): 28 [] element(A,powerset(B))| -subset(A,B).
% 1.91/2.14 ** KEPT (pick-wt=10): 29 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.91/2.14 ** KEPT (pick-wt=19): 30 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 1.91/2.14 ** KEPT (pick-wt=27): 31 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 1.91/2.14 ** KEPT (pick-wt=28): 32 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 1.91/2.14 ** KEPT (pick-wt=27): 33 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|in(D,relation_rng(A)).
% 1.91/2.14 ** KEPT (pick-wt=28): 34 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|C=apply(B,D).
% 1.91/2.14 ** KEPT (pick-wt=31): 35 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f8(A,B),relation_rng(A))|in($f7(A,B),relation_dom(A)).
% 1.91/2.14 ** KEPT (pick-wt=34): 37 [copy,36,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f8(A,B),relation_rng(A))|apply(A,$f7(A,B))=$f8(A,B).
% 1.91/2.14 ** KEPT (pick-wt=34): 39 [copy,38,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,$f8(A,B))=$f7(A,B)|in($f7(A,B),relation_dom(A)).
% 1.91/2.14 ** KEPT (pick-wt=37): 41 [copy,40,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f8(A,B))=$f7(A,B)|apply(A,$f7(A,B))=$f8(A,B).
% 1.91/2.14 ** KEPT (pick-wt=49): 43 [copy,42,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f7(A,B),relation_dom(A))|apply(A,$f7(A,B))!=$f8(A,B)| -in($f8(A,B),relation_rng(A))|apply(B,$f8(A,B))!=$f7(A,B).
% 21.93/22.19 ** KEPT (pick-wt=9): 44 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 21.93/22.19 ** KEPT (pick-wt=18): 45 [] -in(A,relation_dom($c10))| -in(B,relation_dom($c9))|apply($c10,A)!=B|apply($c9,B)=A.
% 21.93/22.19 ** KEPT (pick-wt=18): 46 [] -in(A,relation_dom($c10))| -in(B,relation_dom($c9))|apply($c10,A)=B|apply($c9,B)!=A.
% 21.93/22.19 ** KEPT (pick-wt=4): 48 [copy,47,flip.1] function_inverse($c10)!=$c9.
% 21.93/22.19 ** KEPT (pick-wt=5): 49 [] -empty(A)|A=empty_set.
% 21.93/22.19 ** KEPT (pick-wt=5): 50 [] -in(A,B)| -empty(B).
% 21.93/22.19 ** KEPT (pick-wt=7): 51 [] -empty(A)|A=B| -empty(B).
% 21.93/22.19 ** KEPT (pick-wt=22): 52 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|in($f9(A,B),relation_dom(A))|A=B.
% 21.93/22.19 ** KEPT (pick-wt=27): 53 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|apply(A,$f9(A,B))!=apply(B,$f9(A,B))|A=B.
% 21.93/22.19
% 21.93/22.19 ------------> process sos:
% 21.93/22.19 ** KEPT (pick-wt=3): 69 [] A=A.
% 21.93/22.19 ** KEPT (pick-wt=4): 70 [] element($f4(A),A).
% 21.93/22.19 ** KEPT (pick-wt=2): 71 [] empty(empty_set).
% 21.93/22.19 ** KEPT (pick-wt=2): 72 [] relation(empty_set).
% 21.93/22.19 ** KEPT (pick-wt=2): 73 [] relation_empty_yielding(empty_set).
% 21.93/22.19 Following clause subsumed by 71 during input processing: 0 [] empty(empty_set).
% 21.93/22.19 Following clause subsumed by 71 during input processing: 0 [] empty(empty_set).
% 21.93/22.19 Following clause subsumed by 72 during input processing: 0 [] relation(empty_set).
% 21.93/22.19 ** KEPT (pick-wt=2): 74 [] relation($c1).
% 21.93/22.19 ** KEPT (pick-wt=2): 75 [] function($c1).
% 21.93/22.19 ** KEPT (pick-wt=2): 76 [] empty($c2).
% 21.93/22.19 ** KEPT (pick-wt=2): 77 [] relation($c2).
% 21.93/22.19 ** KEPT (pick-wt=7): 78 [] empty(A)|element($f5(A),powerset(A)).
% 21.93/22.19 ** KEPT (pick-wt=2): 79 [] empty($c3).
% 21.93/22.19 ** KEPT (pick-wt=2): 80 [] relation($c4).
% 21.93/22.19 ** KEPT (pick-wt=2): 81 [] empty($c4).
% 21.93/22.19 ** KEPT (pick-wt=2): 82 [] function($c4).
% 21.93/22.19 ** KEPT (pick-wt=2): 83 [] relation($c5).
% 21.93/22.19 ** KEPT (pick-wt=5): 84 [] element($f6(A),powerset(A)).
% 21.93/22.19 ** KEPT (pick-wt=3): 85 [] empty($f6(A)).
% 21.93/22.19 ** KEPT (pick-wt=2): 86 [] relation($c7).
% 21.93/22.19 ** KEPT (pick-wt=2): 87 [] function($c7).
% 21.93/22.19 ** KEPT (pick-wt=2): 88 [] one_to_one($c7).
% 21.93/22.19 ** KEPT (pick-wt=2): 89 [] relation($c8).
% 21.93/22.19 ** KEPT (pick-wt=2): 90 [] relation_empty_yielding($c8).
% 21.93/22.19 ** KEPT (pick-wt=3): 91 [] subset(A,A).
% 21.93/22.19 ** KEPT (pick-wt=2): 92 [] relation($c10).
% 21.93/22.19 ** KEPT (pick-wt=2): 93 [] function($c10).
% 21.93/22.19 ** KEPT (pick-wt=2): 94 [] relation($c9).
% 21.93/22.19 ** KEPT (pick-wt=2): 95 [] function($c9).
% 21.93/22.19 ** KEPT (pick-wt=2): 96 [] one_to_one($c10).
% 21.93/22.19 ** KEPT (pick-wt=5): 98 [copy,97,flip.1] relation_rng($c9)=relation_dom($c10).
% 21.93/22.19 ---> New Demodulator: 99 [new_demod,98] relation_rng($c9)=relation_dom($c10).
% 21.93/22.19 ** KEPT (pick-wt=5): 100 [] relation_rng($c10)=relation_dom($c9).
% 21.93/22.19 ---> New Demodulator: 101 [new_demod,100] relation_rng($c10)=relation_dom($c9).
% 21.93/22.19 Following clause subsumed by 69 during input processing: 0 [copy,69,flip.1] A=A.
% 21.93/22.19 69 back subsumes 68.
% 21.93/22.19 69 back subsumes 67.
% 21.93/22.19 69 back subsumes 66.
% 21.93/22.19 >>>> Starting back demodulation with 99.
% 21.93/22.19 >>>> Starting back demodulation with 101.
% 21.93/22.19
% 21.93/22.19 ======= end of input processing =======
% 21.93/22.19
% 21.93/22.19 =========== start of search ===========
% 21.93/22.19
% 21.93/22.19
% 21.93/22.19 Resetting weight limit to 6.
% 21.93/22.19
% 21.93/22.19
% 21.93/22.19 Resetting weight limit to 6.
% 21.93/22.19
% 21.93/22.19 sos_size=557
% 21.93/22.19
% 21.93/22.19 Search stopped because sos empty.
% 21.93/22.19
% 21.93/22.19
% 21.93/22.19 Search stopped because sos empty.
% 21.93/22.19
% 21.93/22.19 ============ end of search ============
% 21.93/22.19
% 21.93/22.19 -------------- statistics -------------
% 21.93/22.19 clauses given 691
% 21.93/22.19 clauses generated 411596
% 21.93/22.19 clauses kept 943
% 21.93/22.19 clauses forward subsumed 1408
% 21.93/22.19 clauses back subsumed 14
% 21.93/22.19 Kbytes malloced 6835
% 21.93/22.19
% 21.93/22.19 ----------- times (seconds) -----------
% 21.93/22.19 user CPU time 20.05 (0 hr, 0 min, 20 sec)
% 21.93/22.19 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 21.93/22.19 wall-clock time 22 (0 hr, 0 min, 22 sec)
% 21.93/22.19
% 21.93/22.19 Process 9908 finished Wed Jul 27 07:48:38 2022
% 21.93/22.19 Otter interrupted
% 21.93/22.19 PROOF NOT FOUND
%------------------------------------------------------------------------------