TSTP Solution File: SEU218+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU218+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 13:15:12 EDT 2022
% Result : Unknown 3.97s 4.14s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU218+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 08:00:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.10/2.26 ----- Otter 3.3f, August 2004 -----
% 2.10/2.26 The process was started by sandbox on n008.cluster.edu,
% 2.10/2.26 Wed Jul 27 08:00:38 2022
% 2.10/2.26 The command was "./otter". The process ID is 5677.
% 2.10/2.26
% 2.10/2.26 set(prolog_style_variables).
% 2.10/2.26 set(auto).
% 2.10/2.26 dependent: set(auto1).
% 2.10/2.26 dependent: set(process_input).
% 2.10/2.26 dependent: clear(print_kept).
% 2.10/2.26 dependent: clear(print_new_demod).
% 2.10/2.26 dependent: clear(print_back_demod).
% 2.10/2.26 dependent: clear(print_back_sub).
% 2.10/2.26 dependent: set(control_memory).
% 2.10/2.26 dependent: assign(max_mem, 12000).
% 2.10/2.26 dependent: assign(pick_given_ratio, 4).
% 2.10/2.26 dependent: assign(stats_level, 1).
% 2.10/2.26 dependent: assign(max_seconds, 10800).
% 2.10/2.26 clear(print_given).
% 2.10/2.26
% 2.10/2.26 formula_list(usable).
% 2.10/2.26 all A (A=A).
% 2.10/2.26 all A B (in(A,B)-> -in(B,A)).
% 2.10/2.26 all A (empty(A)->function(A)).
% 2.10/2.26 all A (empty(A)->relation(A)).
% 2.10/2.26 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.10/2.26 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.10/2.26 all A (relation(A)-> (all B (relation(B)-> (A=B<-> (all C D (in(ordered_pair(C,D),A)<->in(ordered_pair(C,D),B))))))).
% 2.10/2.26 all A (relation(A)&function(A)-> (all B C ((in(B,relation_dom(A))-> (C=apply(A,B)<->in(ordered_pair(B,C),A)))& (-in(B,relation_dom(A))-> (C=apply(A,B)<->C=empty_set))))).
% 2.10/2.26 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 2.10/2.26 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 2.10/2.26 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.10/2.26 all A (relation(A)-> (all B (relation(B)-> (B=relation_inverse(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(ordered_pair(D,C),A))))))).
% 2.10/2.26 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 2.10/2.26 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 2.10/2.26 all A (relation(A)->relation(relation_inverse(A))).
% 2.10/2.26 all A exists B element(B,A).
% 2.10/2.26 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 2.10/2.26 empty(empty_set).
% 2.10/2.26 relation(empty_set).
% 2.10/2.26 relation_empty_yielding(empty_set).
% 2.10/2.26 all A (-empty(powerset(A))).
% 2.10/2.26 empty(empty_set).
% 2.10/2.26 all A B (-empty(ordered_pair(A,B))).
% 2.10/2.26 all A (-empty(singleton(A))).
% 2.10/2.26 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 2.10/2.26 all A B (-empty(unordered_pair(A,B))).
% 2.10/2.26 empty(empty_set).
% 2.10/2.26 relation(empty_set).
% 2.10/2.26 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 2.10/2.26 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 2.10/2.26 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 2.10/2.26 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 2.10/2.26 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 2.10/2.26 exists A (relation(A)&function(A)).
% 2.10/2.26 exists A (empty(A)&relation(A)).
% 2.10/2.26 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.10/2.26 exists A empty(A).
% 2.10/2.26 exists A (relation(A)&empty(A)&function(A)).
% 2.10/2.26 exists A (-empty(A)&relation(A)).
% 2.10/2.26 all A exists B (element(B,powerset(A))&empty(B)).
% 2.10/2.26 exists A (-empty(A)).
% 2.10/2.26 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.10/2.26 exists A (relation(A)&relation_empty_yielding(A)).
% 2.10/2.26 all A B subset(A,A).
% 2.10/2.26 all A B (in(A,B)->element(A,B)).
% 2.10/2.26 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.10/2.26 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 2.10/2.26 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.10/2.26 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.10/2.26 -(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)))))))))).
% 2.10/2.26 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.10/2.26 all A (empty(A)->A=empty_set).
% 2.10/2.26 all A B (-(in(A,B)&empty(B))).
% 2.10/2.26 all A B (-(empty(A)&A!=B&empty(B))).
% 2.10/2.26 end_of_list.
% 2.10/2.26
% 2.10/2.26 -------> usable clausifies to:
% 2.10/2.26
% 2.10/2.26 list(usable).
% 2.10/2.26 0 [] A=A.
% 2.10/2.26 0 [] -in(A,B)| -in(B,A).
% 2.10/2.26 0 [] -empty(A)|function(A).
% 2.10/2.26 0 [] -empty(A)|relation(A).
% 2.10/2.26 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.10/2.26 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.10/2.26 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 2.10/2.26 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 2.10/2.26 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f2(A,B),$f1(A,B)),A)|in(ordered_pair($f2(A,B),$f1(A,B)),B).
% 2.10/2.26 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f2(A,B),$f1(A,B)),A)| -in(ordered_pair($f2(A,B),$f1(A,B)),B).
% 2.10/2.26 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 2.10/2.26 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 2.10/2.26 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 2.10/2.26 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 2.10/2.26 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f3(A,B,C)),A).
% 2.10/2.26 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 2.10/2.26 0 [] -relation(A)|B=relation_dom(A)|in($f5(A,B),B)|in(ordered_pair($f5(A,B),$f4(A,B)),A).
% 2.10/2.26 0 [] -relation(A)|B=relation_dom(A)| -in($f5(A,B),B)| -in(ordered_pair($f5(A,B),X1),A).
% 2.10/2.26 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f6(A,B,C),C),A).
% 2.10/2.26 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 2.10/2.26 0 [] -relation(A)|B=relation_rng(A)|in($f8(A,B),B)|in(ordered_pair($f7(A,B),$f8(A,B)),A).
% 2.10/2.26 0 [] -relation(A)|B=relation_rng(A)| -in($f8(A,B),B)| -in(ordered_pair(X2,$f8(A,B)),A).
% 2.10/2.26 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.10/2.26 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 2.10/2.26 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 2.10/2.26 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f10(A,B),$f9(A,B)),B)|in(ordered_pair($f9(A,B),$f10(A,B)),A).
% 2.10/2.26 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f10(A,B),$f9(A,B)),B)| -in(ordered_pair($f9(A,B),$f10(A,B)),A).
% 2.10/2.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 2.10/2.26 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 2.10/2.26 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 2.10/2.26 0 [] -relation(A)|relation(relation_inverse(A)).
% 2.10/2.26 0 [] element($f11(A),A).
% 2.10/2.26 0 [] -empty(A)|empty(relation_inverse(A)).
% 2.10/2.26 0 [] -empty(A)|relation(relation_inverse(A)).
% 2.10/2.26 0 [] empty(empty_set).
% 2.10/2.26 0 [] relation(empty_set).
% 2.10/2.26 0 [] relation_empty_yielding(empty_set).
% 2.10/2.26 0 [] -empty(powerset(A)).
% 2.10/2.26 0 [] empty(empty_set).
% 2.10/2.26 0 [] -empty(ordered_pair(A,B)).
% 2.10/2.26 0 [] -empty(singleton(A)).
% 2.10/2.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 2.10/2.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 2.10/2.26 0 [] -empty(unordered_pair(A,B)).
% 2.10/2.26 0 [] empty(empty_set).
% 2.10/2.26 0 [] relation(empty_set).
% 2.10/2.26 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.10/2.26 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.10/2.26 0 [] -empty(A)|empty(relation_dom(A)).
% 2.10/2.26 0 [] -empty(A)|relation(relation_dom(A)).
% 2.10/2.26 0 [] -empty(A)|empty(relation_rng(A)).
% 2.10/2.26 0 [] -empty(A)|relation(relation_rng(A)).
% 2.10/2.26 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 2.10/2.26 0 [] relation($c1).
% 2.10/2.26 0 [] function($c1).
% 2.10/2.26 0 [] empty($c2).
% 2.10/2.26 0 [] relation($c2).
% 2.10/2.26 0 [] empty(A)|element($f12(A),powerset(A)).
% 2.10/2.26 0 [] empty(A)| -empty($f12(A)).
% 2.10/2.26 0 [] empty($c3).
% 2.10/2.26 0 [] relation($c4).
% 2.10/2.26 0 [] empty($c4).
% 2.10/2.26 0 [] function($c4).
% 2.10/2.26 0 [] -empty($c5).
% 2.10/2.26 0 [] relation($c5).
% 2.10/2.26 0 [] element($f13(A),powerset(A)).
% 2.10/2.26 0 [] empty($f13(A)).
% 2.10/2.26 0 [] -empty($c6).
% 2.10/2.26 0 [] relation($c7).
% 2.10/2.26 0 [] function($c7).
% 2.10/2.26 0 [] one_to_one($c7).
% 2.10/2.26 0 [] relation($c8).
% 2.10/2.26 0 [] relation_empty_yielding($c8).
% 2.10/2.26 0 [] subset(A,A).
% 2.10/2.26 0 [] -in(A,B)|element(A,B).
% 2.10/2.26 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.10/2.26 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 2.10/2.26 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 2.10/2.26 0 [] -element(A,powerset(B))|subset(A,B).
% 2.10/2.26 0 [] element(A,powerset(B))| -subset(A,B).
% 2.10/2.26 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.10/2.26 0 [] relation($c12).
% 2.10/2.26 0 [] function($c12).
% 2.10/2.26 0 [] one_to_one($c12).
% 2.10/2.26 0 [] relation($c11).
% 2.10/2.26 0 [] function($c11).
% 2.10/2.26 0 [] $c11=function_inverse($c12)|relation_dom($c11)=relation_rng($c12).
% 2.10/2.26 0 [] $c11=function_inverse($c12)| -in(C,relation_rng($c12))|D!=apply($c11,C)|in(D,relation_dom($c12)).
% 2.10/2.26 0 [] $c11=function_inverse($c12)| -in(C,relation_rng($c12))|D!=apply($c11,C)|C=apply($c12,D).
% 2.10/2.26 0 [] $c11=function_inverse($c12)| -in(D,relation_dom($c12))|C!=apply($c12,D)|in(C,relation_rng($c12)).
% 2.10/2.26 0 [] $c11=function_inverse($c12)| -in(D,relation_dom($c12))|C!=apply($c12,D)|D=apply($c11,C).
% 2.10/2.26 0 [] $c11!=function_inverse($c12)|relation_dom($c11)!=relation_rng($c12)|in($c10,relation_rng($c12))|in($c9,relation_dom($c12)).
% 2.10/2.26 0 [] $c11!=function_inverse($c12)|relation_dom($c11)!=relation_rng($c12)|in($c10,relation_rng($c12))|$c10=apply($c12,$c9).
% 2.10/2.26 0 [] $c11!=function_inverse($c12)|relation_dom($c11)!=relation_rng($c12)|$c9=apply($c11,$c10)|in($c9,relation_dom($c12)).
% 2.10/2.26 0 [] $c11!=function_inverse($c12)|relation_dom($c11)!=relation_rng($c12)|$c9=apply($c11,$c10)|$c10=apply($c12,$c9).
% 2.10/2.26 0 [] $c11!=function_inverse($c12)|relation_dom($c11)!=relation_rng($c12)| -in($c9,relation_dom($c12))|$c10!=apply($c12,$c9)| -in($c10,relation_rng($c12))|$c9!=apply($c11,$c10).
% 2.10/2.26 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.10/2.26 0 [] -empty(A)|A=empty_set.
% 2.10/2.26 0 [] -in(A,B)| -empty(B).
% 2.10/2.26 0 [] -empty(A)|A=B| -empty(B).
% 2.10/2.26 end_of_list.
% 2.10/2.26
% 2.10/2.26 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.10/2.26
% 2.10/2.26 This ia a non-Horn set with equality. The strategy will be
% 2.10/2.26 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.10/2.26 deletion, with positive clauses in sos and nonpositive
% 2.10/2.26 clauses in usable.
% 2.10/2.26
% 2.10/2.26 dependent: set(knuth_bendix).
% 2.10/2.26 dependent: set(anl_eq).
% 2.10/2.26 dependent: set(para_from).
% 2.10/2.26 dependent: set(para_into).
% 2.10/2.26 dependent: clear(para_from_right).
% 2.10/2.26 dependent: clear(para_into_right).
% 2.10/2.26 dependent: set(para_from_vars).
% 2.10/2.26 dependent: set(eq_units_both_ways).
% 2.10/2.26 dependent: set(dynamic_demod_all).
% 2.10/2.26 dependent: set(dynamic_demod).
% 2.10/2.26 dependent: set(order_eq).
% 2.10/2.26 dependent: set(back_demod).
% 2.10/2.26 dependent: set(lrpo).
% 2.10/2.26 dependent: set(hyper_res).
% 2.10/2.26 dependent: set(unit_deletion).
% 2.10/2.26 dependent: set(factor).
% 2.10/2.26
% 2.10/2.26 ------------> process usable:
% 2.10/2.26 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.10/2.26 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 2.10/2.26 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 2.10/2.26 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.10/2.26 ** KEPT (pick-wt=17): 5 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 2.10/2.26 ** KEPT (pick-wt=17): 6 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 2.10/2.26 ** KEPT (pick-wt=25): 7 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f2(A,B),$f1(A,B)),A)|in(ordered_pair($f2(A,B),$f1(A,B)),B).
% 2.10/2.26 ** KEPT (pick-wt=25): 8 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f2(A,B),$f1(A,B)),A)| -in(ordered_pair($f2(A,B),$f1(A,B)),B).
% 2.10/2.26 ** KEPT (pick-wt=18): 9 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 2.10/2.26 ** KEPT (pick-wt=18): 10 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 2.10/2.26 ** KEPT (pick-wt=16): 11 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 2.10/2.26 ** KEPT (pick-wt=16): 12 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 2.10/2.26 ** KEPT (pick-wt=17): 13 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f3(A,B,C)),A).
% 2.10/2.26 ** KEPT (pick-wt=14): 14 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 2.10/2.26 ** KEPT (pick-wt=20): 15 [] -relation(A)|B=relation_dom(A)|in($f5(A,B),B)|in(ordered_pair($f5(A,B),$f4(A,B)),A).
% 2.10/2.26 ** KEPT (pick-wt=18): 16 [] -relation(A)|B=relation_dom(A)| -in($f5(A,B),B)| -in(ordered_pair($f5(A,B),C),A).
% 2.10/2.26 ** KEPT (pick-wt=17): 17 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f6(A,B,C),C),A).
% 2.10/2.26 ** KEPT (pick-wt=14): 18 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 2.10/2.26 ** KEPT (pick-wt=20): 19 [] -relation(A)|B=relation_rng(A)|in($f8(A,B),B)|in(ordered_pair($f7(A,B),$f8(A,B)),A).
% 2.10/2.26 ** KEPT (pick-wt=18): 20 [] -relation(A)|B=relation_rng(A)| -in($f8(A,B),B)| -in(ordered_pair(C,$f8(A,B)),A).
% 2.10/2.26 ** KEPT (pick-wt=18): 21 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 2.10/2.26 ** KEPT (pick-wt=18): 22 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 2.10/2.26 ** KEPT (pick-wt=26): 23 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f10(A,B),$f9(A,B)),B)|in(ordered_pair($f9(A,B),$f10(A,B)),A).
% 2.10/2.26 ** KEPT (pick-wt=26): 24 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f10(A,B),$f9(A,B)),B)| -in(ordered_pair($f9(A,B),$f10(A,B)),A).
% 2.10/2.26 ** KEPT (pick-wt=11): 26 [copy,25,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 2.10/2.26 ** KEPT (pick-wt=7): 27 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 2.10/2.26 ** KEPT (pick-wt=7): 28 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 2.10/2.26 ** KEPT (pick-wt=5): 29 [] -relation(A)|relation(relation_inverse(A)).
% 2.10/2.26 ** KEPT (pick-wt=5): 30 [] -empty(A)|empty(relation_inverse(A)).
% 2.10/2.26 ** KEPT (pick-wt=5): 31 [] -empty(A)|relation(relation_inverse(A)).
% 2.10/2.26 ** KEPT (pick-wt=3): 32 [] -empty(powerset(A)).
% 2.10/2.26 ** KEPT (pick-wt=4): 33 [] -empty(ordered_pair(A,B)).
% 2.10/2.26 ** KEPT (pick-wt=3): 34 [] -empty(singleton(A)).
% 2.10/2.26 Following clause subsumed by 29 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 2.10/2.26 ** KEPT (pick-wt=9): 35 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 2.10/2.26 ** KEPT (pick-wt=4): 36 [] -empty(unordered_pair(A,B)).
% 2.10/2.26 ** KEPT (pick-wt=7): 37 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.10/2.26 ** KEPT (pick-wt=7): 38 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.10/2.26 ** KEPT (pick-wt=5): 39 [] -empty(A)|empty(relation_dom(A)).
% 2.10/2.26 ** KEPT (pick-wt=5): 40 [] -empty(A)|relation(relation_dom(A)).
% 2.10/2.26 ** KEPT (pick-wt=5): 41 [] -empty(A)|empty(relation_rng(A)).
% 2.10/2.26 ** KEPT (pick-wt=5): 42 [] -empty(A)|relation(relation_rng(A)).
% 2.10/2.26 ** KEPT (pick-wt=7): 43 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 2.10/2.26 ** KEPT (pick-wt=5): 44 [] empty(A)| -empty($f12(A)).
% 2.10/2.26 ** KEPT (pick-wt=2): 45 [] -empty($c5).
% 2.10/2.26 ** KEPT (pick-wt=2): 46 [] -empty($c6).
% 2.10/2.26 ** KEPT (pick-wt=6): 47 [] -in(A,B)|element(A,B).
% 2.10/2.26 ** KEPT (pick-wt=8): 48 [] -element(A,B)|empty(B)|in(A,B).
% 2.10/2.26 ** KEPT (pick-wt=8): 49 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 2.10/2.26 ** KEPT (pick-wt=8): 51 [copy,50,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 2.10/2.26 ** KEPT (pick-wt=7): 52 [] -element(A,powerset(B))|subset(A,B).
% 2.10/2.26 ** KEPT (pick-wt=7): 53 [] element(A,powerset(B))| -subset(A,B).
% 2.10/2.26 ** KEPT (pick-wt=10): 54 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.10/2.26 ** KEPT (pick-wt=17): 56 [copy,55,flip.1] function_inverse($c12)=$c11| -in(A,relation_rng($c12))|B!=apply($c11,A)|in(B,relation_dom($c12)).
% 2.10/2.26 ** KEPT (pick-wt=18): 58 [copy,57,flip.1] function_inverse($c12)=$c11| -in(A,relation_rng($c12))|B!=apply($c11,A)|A=apply($c12,B).
% 2.10/2.26 ** KEPT (pick-wt=17): 60 [copy,59,flip.1] function_inverse($c12)=$c11| -in(A,relation_dom($c12))|B!=apply($c12,A)|in(B,relation_rng($c12)).
% 2.10/2.26 ** KEPT (pick-wt=18): 62 [copy,61,flip.1] function_inverse($c12)=$c11| -in(A,relation_dom($c12))|B!=apply($c12,A)|A=apply($c11,B).
% 2.10/2.26 ** KEPT (pick-wt=17): 64 [copy,63,flip.1,flip.2] function_inverse($c12)!=$c11|relation_rng($c12)!=relation_dom($c11)|in($c10,relation_rng($c12))|in($c9,relation_dom($c12)).
% 2.10/2.26 ** KEPT (pick-wt=18): 66 [copy,65,flip.1,flip.2,flip.4] function_inverse($c12)!=$c11|relation_rng($c12)!=relation_dom($c11)|in($c10,relation_rng($c12))|apply($c12,$c9)=$c10.
% 2.10/2.26 ** KEPT (pick-wt=18): 68 [copy,67,flip.1,flip.2,flip.3] function_inverse($c12)!=$c11|relation_rng($c12)!=relation_dom($c11)|apply($c11,$c10)=$c9|in($c9,relation_dom($c12)).
% 2.10/2.26 ** KEPT (pick-wt=19): 70 [copy,69,flip.1,flip.2,flip.3,flip.4] function_inverse($c12)!=$c11|relation_rng($c12)!=relation_dom($c11)|apply($c11,$c10)=$c9|apply($c12,$c9)=$c10.
% 2.10/2.26 ** KEPT (pick-wt=27): 72 [copy,71,flip.1,flip.2,flip.4,flip.6] function_inverse($c12)!=$c11|relation_rng($c12)!=relation_dom($c11)| -in($c9,relation_dom($c12))|apply($c12,$c9)!=$c10| -in($c10,relation_rng($c12))|apply($c11,$c10)!=$c9.
% 2.10/2.26 ** KEPT (pick-wt=9): 73 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.97/4.14 ** KEPT (pick-wt=5): 74 [] -empty(A)|A=empty_set.
% 3.97/4.14 ** KEPT (pick-wt=5): 75 [] -in(A,B)| -empty(B).
% 3.97/4.14 ** KEPT (pick-wt=7): 76 [] -empty(A)|A=B| -empty(B).
% 3.97/4.14
% 3.97/4.14 ------------> process sos:
% 3.97/4.14 ** KEPT (pick-wt=3): 84 [] A=A.
% 3.97/4.14 ** KEPT (pick-wt=7): 85 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.97/4.14 ** KEPT (pick-wt=10): 87 [copy,86,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.97/4.14 ---> New Demodulator: 88 [new_demod,87] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.97/4.14 ** KEPT (pick-wt=4): 89 [] element($f11(A),A).
% 3.97/4.14 ** KEPT (pick-wt=2): 90 [] empty(empty_set).
% 3.97/4.14 ** KEPT (pick-wt=2): 91 [] relation(empty_set).
% 3.97/4.14 ** KEPT (pick-wt=2): 92 [] relation_empty_yielding(empty_set).
% 3.97/4.14 Following clause subsumed by 90 during input processing: 0 [] empty(empty_set).
% 3.97/4.14 Following clause subsumed by 90 during input processing: 0 [] empty(empty_set).
% 3.97/4.14 Following clause subsumed by 91 during input processing: 0 [] relation(empty_set).
% 3.97/4.14 ** KEPT (pick-wt=2): 93 [] relation($c1).
% 3.97/4.14 ** KEPT (pick-wt=2): 94 [] function($c1).
% 3.97/4.14 ** KEPT (pick-wt=2): 95 [] empty($c2).
% 3.97/4.14 ** KEPT (pick-wt=2): 96 [] relation($c2).
% 3.97/4.14 ** KEPT (pick-wt=7): 97 [] empty(A)|element($f12(A),powerset(A)).
% 3.97/4.14 ** KEPT (pick-wt=2): 98 [] empty($c3).
% 3.97/4.14 ** KEPT (pick-wt=2): 99 [] relation($c4).
% 3.97/4.14 ** KEPT (pick-wt=2): 100 [] empty($c4).
% 3.97/4.14 ** KEPT (pick-wt=2): 101 [] function($c4).
% 3.97/4.14 ** KEPT (pick-wt=2): 102 [] relation($c5).
% 3.97/4.14 ** KEPT (pick-wt=5): 103 [] element($f13(A),powerset(A)).
% 3.97/4.14 ** KEPT (pick-wt=3): 104 [] empty($f13(A)).
% 3.97/4.14 ** KEPT (pick-wt=2): 105 [] relation($c7).
% 3.97/4.14 ** KEPT (pick-wt=2): 106 [] function($c7).
% 3.97/4.14 ** KEPT (pick-wt=2): 107 [] one_to_one($c7).
% 3.97/4.14 ** KEPT (pick-wt=2): 108 [] relation($c8).
% 3.97/4.14 ** KEPT (pick-wt=2): 109 [] relation_empty_yielding($c8).
% 3.97/4.14 ** KEPT (pick-wt=3): 110 [] subset(A,A).
% 3.97/4.14 ** KEPT (pick-wt=2): 111 [] relation($c12).
% 3.97/4.14 ** KEPT (pick-wt=2): 112 [] function($c12).
% 3.97/4.14 ** KEPT (pick-wt=2): 113 [] one_to_one($c12).
% 3.97/4.14 ** KEPT (pick-wt=2): 114 [] relation($c11).
% 3.97/4.14 ** KEPT (pick-wt=2): 115 [] function($c11).
% 3.97/4.14 ** KEPT (pick-wt=9): 117 [copy,116,flip.1,flip.2] function_inverse($c12)=$c11|relation_rng($c12)=relation_dom($c11).
% 3.97/4.14 Following clause subsumed by 84 during input processing: 0 [copy,84,flip.1] A=A.
% 3.97/4.14 84 back subsumes 83.
% 3.97/4.14 84 back subsumes 79.
% 3.97/4.14 84 back subsumes 78.
% 3.97/4.14 Following clause subsumed by 85 during input processing: 0 [copy,85,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 3.97/4.14 >>>> Starting back demodulation with 88.
% 3.97/4.14
% 3.97/4.14 ======= end of input processing =======
% 3.97/4.14
% 3.97/4.14 =========== start of search ===========
% 3.97/4.14
% 3.97/4.14
% 3.97/4.14 Resetting weight limit to 3.
% 3.97/4.14
% 3.97/4.14
% 3.97/4.14 Resetting weight limit to 3.
% 3.97/4.14
% 3.97/4.14 sos_size=332
% 3.97/4.14
% 3.97/4.14 Search stopped because sos empty.
% 3.97/4.14
% 3.97/4.14
% 3.97/4.14 Search stopped because sos empty.
% 3.97/4.14
% 3.97/4.14 ============ end of search ============
% 3.97/4.14
% 3.97/4.14 -------------- statistics -------------
% 3.97/4.14 clauses given 379
% 3.97/4.14 clauses generated 125324
% 3.97/4.14 clauses kept 538
% 3.97/4.14 clauses forward subsumed 362
% 3.97/4.14 clauses back subsumed 3
% 3.97/4.14 Kbytes malloced 7812
% 3.97/4.14
% 3.97/4.14 ----------- times (seconds) -----------
% 3.97/4.14 user CPU time 1.88 (0 hr, 0 min, 1 sec)
% 3.97/4.14 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.97/4.14 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 3.97/4.14
% 3.97/4.14 Process 5677 finished Wed Jul 27 08:00:42 2022
% 3.97/4.14 Otter interrupted
% 3.97/4.14 PROOF NOT FOUND
%------------------------------------------------------------------------------