TSTP Solution File: SEU043+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU043+1 : 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 13:14:42 EDT 2022
% Result : Unknown 6.85s 7.11s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU043+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 07:58:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.95/2.15 ----- Otter 3.3f, August 2004 -----
% 1.95/2.15 The process was started by sandbox2 on n008.cluster.edu,
% 1.95/2.15 Wed Jul 27 07:58:53 2022
% 1.95/2.15 The command was "./otter". The process ID is 30734.
% 1.95/2.15
% 1.95/2.15 set(prolog_style_variables).
% 1.95/2.15 set(auto).
% 1.95/2.15 dependent: set(auto1).
% 1.95/2.15 dependent: set(process_input).
% 1.95/2.15 dependent: clear(print_kept).
% 1.95/2.15 dependent: clear(print_new_demod).
% 1.95/2.15 dependent: clear(print_back_demod).
% 1.95/2.15 dependent: clear(print_back_sub).
% 1.95/2.15 dependent: set(control_memory).
% 1.95/2.15 dependent: assign(max_mem, 12000).
% 1.95/2.15 dependent: assign(pick_given_ratio, 4).
% 1.95/2.15 dependent: assign(stats_level, 1).
% 1.95/2.15 dependent: assign(max_seconds, 10800).
% 1.95/2.15 clear(print_given).
% 1.95/2.15
% 1.95/2.15 formula_list(usable).
% 1.95/2.15 all A (A=A).
% 1.95/2.15 all A B (in(A,B)-> -in(B,A)).
% 1.95/2.15 all A (empty(A)->function(A)).
% 1.95/2.15 all A (empty(A)->relation(A)).
% 1.95/2.15 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.95/2.15 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.95/2.15 all A B (relation(B)-> (all C (relation(C)-> (C=relation_rng_restriction(A,B)<-> (all D E (in(ordered_pair(D,E),C)<->in(E,A)&in(ordered_pair(D,E),B))))))).
% 1.95/2.15 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))))).
% 1.95/2.15 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 1.95/2.15 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.95/2.15 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 1.95/2.15 all A exists B element(B,A).
% 1.95/2.15 empty(empty_set).
% 1.95/2.15 relation(empty_set).
% 1.95/2.15 relation_empty_yielding(empty_set).
% 1.95/2.15 all A (-empty(powerset(A))).
% 1.95/2.15 empty(empty_set).
% 1.95/2.15 all A B (-empty(ordered_pair(A,B))).
% 1.95/2.15 all A (-empty(singleton(A))).
% 1.95/2.15 all A B (-empty(unordered_pair(A,B))).
% 1.95/2.15 empty(empty_set).
% 1.95/2.15 relation(empty_set).
% 1.95/2.15 all A B (relation(B)&function(B)->relation(relation_rng_restriction(A,B))&function(relation_rng_restriction(A,B))).
% 1.95/2.15 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.95/2.15 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.95/2.15 exists A (relation(A)&function(A)).
% 1.95/2.15 exists A (empty(A)&relation(A)).
% 1.95/2.15 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.95/2.15 exists A empty(A).
% 1.95/2.15 exists A (relation(A)&empty(A)&function(A)).
% 1.95/2.15 exists A (-empty(A)&relation(A)).
% 1.95/2.15 all A exists B (element(B,powerset(A))&empty(B)).
% 1.95/2.15 exists A (-empty(A)).
% 1.95/2.15 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.95/2.15 exists A (relation(A)&relation_empty_yielding(A)).
% 1.95/2.15 all A B subset(A,A).
% 1.95/2.15 all A B (in(A,B)->element(A,B)).
% 1.95/2.15 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.95/2.15 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.95/2.15 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.95/2.15 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.95/2.15 all A (empty(A)->A=empty_set).
% 1.95/2.15 all A B (-(in(A,B)&empty(B))).
% 1.95/2.15 -(all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (B=relation_rng_restriction(A,C)<-> (all D (in(D,relation_dom(B))<->in(D,relation_dom(C))&in(apply(C,D),A)))& (all D (in(D,relation_dom(B))->apply(B,D)=apply(C,D)))))))).
% 1.95/2.15 all A B (-(empty(A)&A!=B&empty(B))).
% 1.95/2.15 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 1.95/2.15 end_of_list.
% 1.95/2.15
% 1.95/2.15 -------> usable clausifies to:
% 1.95/2.15
% 1.95/2.15 list(usable).
% 1.95/2.15 0 [] A=A.
% 1.95/2.15 0 [] -in(A,B)| -in(B,A).
% 1.95/2.15 0 [] -empty(A)|function(A).
% 1.95/2.15 0 [] -empty(A)|relation(A).
% 1.95/2.15 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.95/2.15 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.95/2.15 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 1.95/2.15 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 1.95/2.15 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 1.95/2.15 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f2(A,B,C),$f1(A,B,C)),C)|in($f1(A,B,C),A).
% 1.95/2.15 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f2(A,B,C),$f1(A,B,C)),C)|in(ordered_pair($f2(A,B,C),$f1(A,B,C)),B).
% 1.95/2.15 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)| -in(ordered_pair($f2(A,B,C),$f1(A,B,C)),C)| -in($f1(A,B,C),A)| -in(ordered_pair($f2(A,B,C),$f1(A,B,C)),B).
% 1.95/2.16 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 1.95/2.16 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 1.95/2.16 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 1.95/2.16 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 1.95/2.16 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f3(A,B,C)),A).
% 1.95/2.16 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 1.95/2.16 0 [] -relation(A)|B=relation_dom(A)|in($f5(A,B),B)|in(ordered_pair($f5(A,B),$f4(A,B)),A).
% 1.95/2.16 0 [] -relation(A)|B=relation_dom(A)| -in($f5(A,B),B)| -in(ordered_pair($f5(A,B),X1),A).
% 1.95/2.16 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.95/2.16 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 1.95/2.16 0 [] element($f6(A),A).
% 1.95/2.16 0 [] empty(empty_set).
% 1.95/2.16 0 [] relation(empty_set).
% 1.95/2.16 0 [] relation_empty_yielding(empty_set).
% 1.95/2.16 0 [] -empty(powerset(A)).
% 1.95/2.16 0 [] empty(empty_set).
% 1.95/2.16 0 [] -empty(ordered_pair(A,B)).
% 1.95/2.16 0 [] -empty(singleton(A)).
% 1.95/2.16 0 [] -empty(unordered_pair(A,B)).
% 1.95/2.16 0 [] empty(empty_set).
% 1.95/2.16 0 [] relation(empty_set).
% 1.95/2.16 0 [] -relation(B)| -function(B)|relation(relation_rng_restriction(A,B)).
% 1.95/2.16 0 [] -relation(B)| -function(B)|function(relation_rng_restriction(A,B)).
% 1.95/2.16 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.95/2.16 0 [] -empty(A)|empty(relation_dom(A)).
% 1.95/2.16 0 [] -empty(A)|relation(relation_dom(A)).
% 1.95/2.16 0 [] relation($c1).
% 1.95/2.16 0 [] function($c1).
% 1.95/2.16 0 [] empty($c2).
% 1.95/2.16 0 [] relation($c2).
% 1.95/2.16 0 [] empty(A)|element($f7(A),powerset(A)).
% 1.95/2.16 0 [] empty(A)| -empty($f7(A)).
% 1.95/2.16 0 [] empty($c3).
% 1.95/2.16 0 [] relation($c4).
% 1.95/2.16 0 [] empty($c4).
% 1.95/2.16 0 [] function($c4).
% 1.95/2.16 0 [] -empty($c5).
% 1.95/2.16 0 [] relation($c5).
% 1.95/2.16 0 [] element($f8(A),powerset(A)).
% 1.95/2.16 0 [] empty($f8(A)).
% 1.95/2.16 0 [] -empty($c6).
% 1.95/2.16 0 [] relation($c7).
% 1.95/2.16 0 [] function($c7).
% 1.95/2.16 0 [] one_to_one($c7).
% 1.95/2.16 0 [] relation($c8).
% 1.95/2.16 0 [] relation_empty_yielding($c8).
% 1.95/2.16 0 [] subset(A,A).
% 1.95/2.16 0 [] -in(A,B)|element(A,B).
% 1.95/2.16 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.95/2.16 0 [] -element(A,powerset(B))|subset(A,B).
% 1.95/2.16 0 [] element(A,powerset(B))| -subset(A,B).
% 1.95/2.16 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.95/2.16 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.95/2.16 0 [] -empty(A)|A=empty_set.
% 1.95/2.16 0 [] -in(A,B)| -empty(B).
% 1.95/2.16 0 [] relation($c12).
% 1.95/2.16 0 [] function($c12).
% 1.95/2.16 0 [] relation($c11).
% 1.95/2.16 0 [] function($c11).
% 1.95/2.16 0 [] $c12=relation_rng_restriction($c13,$c11)| -in(D,relation_dom($c12))|in(D,relation_dom($c11)).
% 1.95/2.16 0 [] $c12=relation_rng_restriction($c13,$c11)| -in(D,relation_dom($c12))|in(apply($c11,D),$c13).
% 1.95/2.16 0 [] $c12=relation_rng_restriction($c13,$c11)|in(D,relation_dom($c12))| -in(D,relation_dom($c11))| -in(apply($c11,D),$c13).
% 1.95/2.16 0 [] $c12=relation_rng_restriction($c13,$c11)| -in(X2,relation_dom($c12))|apply($c12,X2)=apply($c11,X2).
% 1.95/2.16 0 [] $c12!=relation_rng_restriction($c13,$c11)|in($c9,relation_dom($c12))|in($c9,relation_dom($c11))|in($c10,relation_dom($c12)).
% 1.95/2.16 0 [] $c12!=relation_rng_restriction($c13,$c11)|in($c9,relation_dom($c12))|in($c9,relation_dom($c11))|apply($c12,$c10)!=apply($c11,$c10).
% 1.95/2.16 0 [] $c12!=relation_rng_restriction($c13,$c11)|in($c9,relation_dom($c12))|in(apply($c11,$c9),$c13)|in($c10,relation_dom($c12)).
% 1.95/2.16 0 [] $c12!=relation_rng_restriction($c13,$c11)|in($c9,relation_dom($c12))|in(apply($c11,$c9),$c13)|apply($c12,$c10)!=apply($c11,$c10).
% 1.95/2.16 0 [] $c12!=relation_rng_restriction($c13,$c11)| -in($c9,relation_dom($c12))| -in($c9,relation_dom($c11))| -in(apply($c11,$c9),$c13)|in($c10,relation_dom($c12)).
% 1.95/2.16 0 [] $c12!=relation_rng_restriction($c13,$c11)| -in($c9,relation_dom($c12))| -in($c9,relation_dom($c11))| -in(apply($c11,$c9),$c13)|apply($c12,$c10)!=apply($c11,$c10).
% 1.95/2.16 0 [] -empty(A)|A=B| -empty(B).
% 1.95/2.16 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 1.95/2.16 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 1.95/2.16 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 1.95/2.16 end_of_list.
% 1.95/2.16
% 1.95/2.16 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.95/2.16
% 1.95/2.16 This ia a non-Horn set with equality. The strategy will be
% 1.95/2.16 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.95/2.16 deletion, with positive clauses in sos and nonpositive
% 1.95/2.16 clauses in usable.
% 1.95/2.16
% 1.95/2.16 dependent: set(knuth_bendix).
% 1.95/2.16 dependent: set(anl_eq).
% 1.95/2.16 dependent: set(para_from).
% 1.95/2.16 dependent: set(para_into).
% 1.95/2.16 dependent: clear(para_from_right).
% 1.95/2.16 dependent: clear(para_into_right).
% 1.95/2.16 dependent: set(para_from_vars).
% 1.95/2.16 dependent: set(eq_units_both_ways).
% 1.95/2.16 dependent: set(dynamic_demod_all).
% 1.95/2.16 dependent: set(dynamic_demod).
% 1.95/2.16 dependent: set(order_eq).
% 1.95/2.16 dependent: set(back_demod).
% 1.95/2.16 dependent: set(lrpo).
% 1.95/2.16 dependent: set(hyper_res).
% 1.95/2.16 dependent: set(unit_deletion).
% 1.95/2.16 dependent: set(factor).
% 1.95/2.16
% 1.95/2.16 ------------> process usable:
% 1.95/2.16 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.95/2.16 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.95/2.16 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.95/2.16 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.95/2.16 ** KEPT (pick-wt=17): 5 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 1.95/2.16 ** KEPT (pick-wt=19): 6 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 1.95/2.16 ** KEPT (pick-wt=22): 7 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)|in(ordered_pair(D,E),B)| -in(E,C)| -in(ordered_pair(D,E),A).
% 1.95/2.16 ** KEPT (pick-wt=26): 8 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f2(C,A,B),$f1(C,A,B)),B)|in($f1(C,A,B),C).
% 1.95/2.16 ** KEPT (pick-wt=31): 9 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f2(C,A,B),$f1(C,A,B)),B)|in(ordered_pair($f2(C,A,B),$f1(C,A,B)),A).
% 1.95/2.16 ** KEPT (pick-wt=37): 10 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($f2(C,A,B),$f1(C,A,B)),B)| -in($f1(C,A,B),C)| -in(ordered_pair($f2(C,A,B),$f1(C,A,B)),A).
% 1.95/2.16 ** KEPT (pick-wt=18): 11 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 1.95/2.16 ** KEPT (pick-wt=18): 12 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 1.95/2.16 ** KEPT (pick-wt=16): 13 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 1.95/2.16 ** KEPT (pick-wt=16): 14 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 1.95/2.16 ** KEPT (pick-wt=17): 15 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f3(A,B,C)),A).
% 1.95/2.16 ** KEPT (pick-wt=14): 16 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 1.95/2.16 ** KEPT (pick-wt=20): 17 [] -relation(A)|B=relation_dom(A)|in($f5(A,B),B)|in(ordered_pair($f5(A,B),$f4(A,B)),A).
% 1.95/2.16 ** KEPT (pick-wt=18): 18 [] -relation(A)|B=relation_dom(A)| -in($f5(A,B),B)| -in(ordered_pair($f5(A,B),C),A).
% 1.95/2.16 ** KEPT (pick-wt=6): 19 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 1.95/2.16 ** KEPT (pick-wt=3): 20 [] -empty(powerset(A)).
% 1.95/2.16 ** KEPT (pick-wt=4): 21 [] -empty(ordered_pair(A,B)).
% 1.95/2.16 ** KEPT (pick-wt=3): 22 [] -empty(singleton(A)).
% 1.95/2.16 ** KEPT (pick-wt=4): 23 [] -empty(unordered_pair(A,B)).
% 1.95/2.16 Following clause subsumed by 19 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_rng_restriction(B,A)).
% 1.95/2.16 ** KEPT (pick-wt=8): 24 [] -relation(A)| -function(A)|function(relation_rng_restriction(B,A)).
% 1.95/2.16 ** KEPT (pick-wt=7): 25 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.95/2.16 ** KEPT (pick-wt=5): 26 [] -empty(A)|empty(relation_dom(A)).
% 1.95/2.16 ** KEPT (pick-wt=5): 27 [] -empty(A)|relation(relation_dom(A)).
% 1.95/2.16 ** KEPT (pick-wt=5): 28 [] empty(A)| -empty($f7(A)).
% 1.95/2.16 ** KEPT (pick-wt=2): 29 [] -empty($c5).
% 1.95/2.16 ** KEPT (pick-wt=2): 30 [] -empty($c6).
% 1.95/2.16 ** KEPT (pick-wt=6): 31 [] -in(A,B)|element(A,B).
% 1.95/2.16 ** KEPT (pick-wt=8): 32 [] -element(A,B)|empty(B)|in(A,B).
% 1.95/2.16 ** KEPT (pick-wt=7): 33 [] -element(A,powerset(B))|subset(A,B).
% 1.95/2.16 ** KEPT (pick-wt=7): 34 [] element(A,powerset(B))| -subset(A,B).
% 1.95/2.16 ** KEPT (pick-wt=10): 35 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.95/2.16 ** KEPT (pick-wt=9): 36 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.95/2.16 ** KEPT (pick-wt=5): 37 [] -empty(A)|A=empty_set.
% 1.95/2.16 ** KEPT (pick-wt=5): 38 [] -in(A,B)| -empty(B).
% 1.95/2.16 ** KEPT (pick-wt=13): 40 [copy,39,flip.1] relation_rng_restriction($c13,$c11)=$c12| -in(A,relation_dom($c12))|in(A,relation_dom($c11)).
% 1.95/2.16 ** KEPT (pick-wt=14): 42 [copy,41,flip.1] relation_rng_restriction($c13,$c11)=$c12| -in(A,relation_dom($c12))|in(apply($c11,A),$c13).
% 1.95/2.20 ** KEPT (pick-wt=18): 44 [copy,43,flip.1] relation_rng_restriction($c13,$c11)=$c12|in(A,relation_dom($c12))| -in(A,relation_dom($c11))| -in(apply($c11,A),$c13).
% 1.95/2.20 ** KEPT (pick-wt=16): 46 [copy,45,flip.1] relation_rng_restriction($c13,$c11)=$c12| -in(A,relation_dom($c12))|apply($c12,A)=apply($c11,A).
% 1.95/2.20 ** KEPT (pick-wt=17): 48 [copy,47,flip.1] relation_rng_restriction($c13,$c11)!=$c12|in($c9,relation_dom($c12))|in($c9,relation_dom($c11))|in($c10,relation_dom($c12)).
% 1.95/2.20 ** KEPT (pick-wt=20): 50 [copy,49,flip.1] relation_rng_restriction($c13,$c11)!=$c12|in($c9,relation_dom($c12))|in($c9,relation_dom($c11))|apply($c12,$c10)!=apply($c11,$c10).
% 1.95/2.20 ** KEPT (pick-wt=18): 52 [copy,51,flip.1] relation_rng_restriction($c13,$c11)!=$c12|in($c9,relation_dom($c12))|in(apply($c11,$c9),$c13)|in($c10,relation_dom($c12)).
% 1.95/2.20 ** KEPT (pick-wt=21): 54 [copy,53,flip.1] relation_rng_restriction($c13,$c11)!=$c12|in($c9,relation_dom($c12))|in(apply($c11,$c9),$c13)|apply($c12,$c10)!=apply($c11,$c10).
% 1.95/2.20 ** KEPT (pick-wt=22): 56 [copy,55,flip.1] relation_rng_restriction($c13,$c11)!=$c12| -in($c9,relation_dom($c12))| -in($c9,relation_dom($c11))| -in(apply($c11,$c9),$c13)|in($c10,relation_dom($c12)).
% 1.95/2.20 ** KEPT (pick-wt=25): 58 [copy,57,flip.1] relation_rng_restriction($c13,$c11)!=$c12| -in($c9,relation_dom($c12))| -in($c9,relation_dom($c11))| -in(apply($c11,$c9),$c13)|apply($c12,$c10)!=apply($c11,$c10).
% 1.95/2.20 ** KEPT (pick-wt=7): 59 [] -empty(A)|A=B| -empty(B).
% 1.95/2.20 ** KEPT (pick-wt=13): 60 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 1.95/2.20 ** KEPT (pick-wt=14): 61 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 1.95/2.20 Following clause subsumed by 11 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 1.95/2.20 61 back subsumes 12.
% 1.95/2.20 65 back subsumes 64.
% 1.95/2.20
% 1.95/2.20 ------------> process sos:
% 1.95/2.20 ** KEPT (pick-wt=3): 68 [] A=A.
% 1.95/2.20 ** KEPT (pick-wt=7): 69 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.95/2.20 ** KEPT (pick-wt=10): 71 [copy,70,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 1.95/2.20 ---> New Demodulator: 72 [new_demod,71] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 1.95/2.20 ** KEPT (pick-wt=4): 73 [] element($f6(A),A).
% 1.95/2.20 ** KEPT (pick-wt=2): 74 [] empty(empty_set).
% 1.95/2.20 ** KEPT (pick-wt=2): 75 [] relation(empty_set).
% 1.95/2.20 ** KEPT (pick-wt=2): 76 [] relation_empty_yielding(empty_set).
% 1.95/2.20 Following clause subsumed by 74 during input processing: 0 [] empty(empty_set).
% 1.95/2.20 Following clause subsumed by 74 during input processing: 0 [] empty(empty_set).
% 1.95/2.20 Following clause subsumed by 75 during input processing: 0 [] relation(empty_set).
% 1.95/2.20 ** KEPT (pick-wt=2): 77 [] relation($c1).
% 1.95/2.20 ** KEPT (pick-wt=2): 78 [] function($c1).
% 1.95/2.20 ** KEPT (pick-wt=2): 79 [] empty($c2).
% 1.95/2.20 ** KEPT (pick-wt=2): 80 [] relation($c2).
% 1.95/2.20 ** KEPT (pick-wt=7): 81 [] empty(A)|element($f7(A),powerset(A)).
% 1.95/2.20 ** KEPT (pick-wt=2): 82 [] empty($c3).
% 1.95/2.20 ** KEPT (pick-wt=2): 83 [] relation($c4).
% 1.95/2.20 ** KEPT (pick-wt=2): 84 [] empty($c4).
% 1.95/2.20 ** KEPT (pick-wt=2): 85 [] function($c4).
% 1.95/2.20 ** KEPT (pick-wt=2): 86 [] relation($c5).
% 1.95/2.20 ** KEPT (pick-wt=5): 87 [] element($f8(A),powerset(A)).
% 1.95/2.20 ** KEPT (pick-wt=3): 88 [] empty($f8(A)).
% 1.95/2.20 ** KEPT (pick-wt=2): 89 [] relation($c7).
% 1.95/2.20 ** KEPT (pick-wt=2): 90 [] function($c7).
% 1.95/2.20 ** KEPT (pick-wt=2): 91 [] one_to_one($c7).
% 1.95/2.20 ** KEPT (pick-wt=2): 92 [] relation($c8).
% 1.95/2.20 ** KEPT (pick-wt=2): 93 [] relation_empty_yielding($c8).
% 1.95/2.20 ** KEPT (pick-wt=3): 94 [] subset(A,A).
% 1.95/2.20 ** KEPT (pick-wt=2): 95 [] relation($c12).
% 1.95/2.20 ** KEPT (pick-wt=2): 96 [] function($c12).
% 1.95/2.20 ** KEPT (pick-wt=2): 97 [] relation($c11).
% 1.95/2.20 ** KEPT (pick-wt=2): 98 [] function($c11).
% 1.95/2.20 Following clause subsumed by 68 during input processing: 0 [copy,68,flip.1] A=A.
% 1.95/2.20 68 back subsumes 67.
% 1.95/2.20 Following clause subsumed by 69 during input processing: 0 [copy,69,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 1.95/2.20 >>>> Starting back demodulation with 72.
% 1.95/2.20
% 1.95/2.20 ======= end of input processing =======
% 1.95/2.20
% 1.95/2.20 =========== start of search ===========
% 1.95/2.20
% 1.95/2.20
% 1.95/2.20 Resetting weight limit to 6.
% 6.85/7.10
% 6.85/7.10
% 6.85/7.10 Resetting weight limit to 6.
% 6.85/7.10
% 6.85/7.10 sos_size=453
% 6.85/7.10
% 6.85/7.10 Search stopped because sos empty.
% 6.85/7.10
% 6.85/7.10
% 6.85/7.10 Search stopped because sos empty.
% 6.85/7.10
% 6.85/7.10 ============ end of search ============
% 6.85/7.10
% 6.85/7.10 -------------- statistics -------------
% 6.85/7.10 clauses given 509
% 6.85/7.10 clauses generated 254529
% 6.85/7.10 clauses kept 697
% 6.85/7.10 clauses forward subsumed 575
% 6.85/7.10 clauses back subsumed 10
% 6.85/7.10 Kbytes malloced 6835
% 6.85/7.10
% 6.85/7.10 ----------- times (seconds) -----------
% 6.85/7.10 user CPU time 4.95 (0 hr, 0 min, 4 sec)
% 6.85/7.10 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 6.85/7.10 wall-clock time 7 (0 hr, 0 min, 7 sec)
% 6.85/7.10
% 6.85/7.10 Process 30734 finished Wed Jul 27 07:59:00 2022
% 6.85/7.11 Otter interrupted
% 6.85/7.11 PROOF NOT FOUND
%------------------------------------------------------------------------------