TSTP Solution File: SEU282+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU282+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:15:27 EDT 2022
% Result : Unknown 73.82s 74.00s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU282+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n011.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 07:36:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.21/2.35 ----- Otter 3.3f, August 2004 -----
% 2.21/2.35 The process was started by sandbox2 on n011.cluster.edu,
% 2.21/2.35 Wed Jul 27 07:36:25 2022
% 2.21/2.35 The command was "./otter". The process ID is 11676.
% 2.21/2.35
% 2.21/2.35 set(prolog_style_variables).
% 2.21/2.35 set(auto).
% 2.21/2.35 dependent: set(auto1).
% 2.21/2.35 dependent: set(process_input).
% 2.21/2.35 dependent: clear(print_kept).
% 2.21/2.35 dependent: clear(print_new_demod).
% 2.21/2.35 dependent: clear(print_back_demod).
% 2.21/2.35 dependent: clear(print_back_sub).
% 2.21/2.35 dependent: set(control_memory).
% 2.21/2.35 dependent: assign(max_mem, 12000).
% 2.21/2.35 dependent: assign(pick_given_ratio, 4).
% 2.21/2.35 dependent: assign(stats_level, 1).
% 2.21/2.35 dependent: assign(max_seconds, 10800).
% 2.21/2.35 clear(print_given).
% 2.21/2.35
% 2.21/2.35 formula_list(usable).
% 2.21/2.35 all A (A=A).
% 2.21/2.35 -(all A ((all B C D (in(B,A)&C=singleton(B)&in(B,A)&D=singleton(B)->C=D))-> (exists B (relation(B)&function(B)& (all C D (in(ordered_pair(C,D),B)<->in(C,A)&in(C,A)&D=singleton(C))))))).
% 2.21/2.35 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.21/2.35 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 2.21/2.35 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 2.21/2.35 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.35 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.35 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.35 all A (empty(A)->function(A)).
% 2.21/2.35 exists A (relation(A)&empty(A)&function(A)).
% 2.21/2.35 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.21/2.35 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.35 exists A empty(A).
% 2.21/2.35 exists A (-empty(A)).
% 2.21/2.35 all A B (in(A,B)-> -in(B,A)).
% 2.21/2.35 $T.
% 2.21/2.35 $T.
% 2.21/2.35 exists A (relation(A)&function(A)).
% 2.21/2.35 all A B (-empty(ordered_pair(A,B))).
% 2.21/2.35 all A ((all B C D (in(B,A)&C=singleton(B)&in(B,A)&D=singleton(B)->C=D))-> (exists B all C (in(C,B)<-> (exists D (in(D,A)&in(D,A)&C=singleton(D)))))).
% 2.21/2.35 all A B exists C all D (in(D,C)<->in(D,cartesian_product2(A,B))& (exists E F (ordered_pair(E,F)=D&in(E,A)&F=singleton(E)))).
% 2.21/2.35 all A (empty(A)->relation(A)).
% 2.21/2.35 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.21/2.35 all A (function(A)<-> (all B C D (in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A)->C=D))).
% 2.21/2.35 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 2.21/2.35 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.21/2.35 $T.
% 2.21/2.35 $T.
% 2.21/2.35 $T.
% 2.21/2.35 $T.
% 2.21/2.35 all A exists B element(B,A).
% 2.21/2.35 empty(empty_set).
% 2.21/2.35 relation(empty_set).
% 2.21/2.35 relation_empty_yielding(empty_set).
% 2.21/2.35 empty(empty_set).
% 2.21/2.35 all A (-empty(singleton(A))).
% 2.21/2.35 all A B (-empty(unordered_pair(A,B))).
% 2.21/2.35 empty(empty_set).
% 2.21/2.35 relation(empty_set).
% 2.21/2.35 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.21/2.35 exists A (empty(A)&relation(A)).
% 2.21/2.35 exists A (-empty(A)&relation(A)).
% 2.21/2.35 exists A (relation(A)&relation_empty_yielding(A)).
% 2.21/2.35 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 2.21/2.35 all A B (in(A,B)->element(A,B)).
% 2.21/2.35 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.21/2.35 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 2.21/2.35 all A (empty(A)->A=empty_set).
% 2.21/2.35 all A B (-(in(A,B)&empty(B))).
% 2.21/2.35 all A B (-(empty(A)&A!=B&empty(B))).
% 2.21/2.35 end_of_list.
% 2.21/2.35
% 2.21/2.35 -------> usable clausifies to:
% 2.21/2.35
% 2.21/2.35 list(usable).
% 2.21/2.35 0 [] A=A.
% 2.21/2.35 0 [] -in(B,$c1)|C!=singleton(B)|D!=singleton(B)|C=D.
% 2.21/2.35 0 [] -relation(X1)| -function(X1)|in(ordered_pair($f2(X1),$f1(X1)),X1)|in($f2(X1),$c1).
% 2.21/2.35 0 [] -relation(X1)| -function(X1)|in(ordered_pair($f2(X1),$f1(X1)),X1)|$f1(X1)=singleton($f2(X1)).
% 2.21/2.35 0 [] -relation(X1)| -function(X1)| -in(ordered_pair($f2(X1),$f1(X1)),X1)| -in($f2(X1),$c1)|$f1(X1)!=singleton($f2(X1)).
% 2.21/2.35 0 [] relation($c2).
% 2.21/2.35 0 [] function($c2).
% 2.21/2.35 0 [] one_to_one($c2).
% 2.21/2.35 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.21/2.35 0 [] -ordinal(A)|epsilon_connected(A).
% 2.21/2.35 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.21/2.35 0 [] epsilon_transitive($c3).
% 2.21/2.35 0 [] epsilon_connected($c3).
% 2.21/2.35 0 [] ordinal($c3).
% 2.21/2.35 0 [] relation($c4).
% 2.21/2.35 0 [] function($c4).
% 2.21/2.35 0 [] one_to_one($c4).
% 2.21/2.35 0 [] empty($c4).
% 2.21/2.35 0 [] epsilon_transitive($c4).
% 2.21/2.35 0 [] epsilon_connected($c4).
% 2.21/2.35 0 [] ordinal($c4).
% 2.21/2.35 0 [] -empty($c5).
% 2.21/2.35 0 [] epsilon_transitive($c5).
% 2.21/2.35 0 [] epsilon_connected($c5).
% 2.21/2.35 0 [] ordinal($c5).
% 2.21/2.35 0 [] -empty(A)|function(A).
% 2.21/2.35 0 [] relation($c6).
% 2.21/2.35 0 [] empty($c6).
% 2.21/2.35 0 [] function($c6).
% 2.21/2.35 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.21/2.35 0 [] -empty(A)|epsilon_transitive(A).
% 2.21/2.35 0 [] -empty(A)|epsilon_connected(A).
% 2.21/2.35 0 [] -empty(A)|ordinal(A).
% 2.21/2.35 0 [] empty($c7).
% 2.21/2.35 0 [] -empty($c8).
% 2.21/2.35 0 [] -in(A,B)| -in(B,A).
% 2.21/2.35 0 [] $T.
% 2.21/2.35 0 [] $T.
% 2.21/2.35 0 [] relation($c9).
% 2.21/2.35 0 [] function($c9).
% 2.21/2.35 0 [] -empty(ordered_pair(A,B)).
% 2.21/2.35 0 [] in($f5(A),A)| -in(C,$f7(A))|in($f6(A,C),A).
% 2.21/2.35 0 [] in($f5(A),A)| -in(C,$f7(A))|C=singleton($f6(A,C)).
% 2.21/2.35 0 [] in($f5(A),A)|in(C,$f7(A))| -in(D,A)|C!=singleton(D).
% 2.21/2.35 0 [] $f4(A)=singleton($f5(A))| -in(C,$f7(A))|in($f6(A,C),A).
% 2.21/2.35 0 [] $f4(A)=singleton($f5(A))| -in(C,$f7(A))|C=singleton($f6(A,C)).
% 2.21/2.35 0 [] $f4(A)=singleton($f5(A))|in(C,$f7(A))| -in(D,A)|C!=singleton(D).
% 2.21/2.35 0 [] $f3(A)=singleton($f5(A))| -in(C,$f7(A))|in($f6(A,C),A).
% 2.21/2.35 0 [] $f3(A)=singleton($f5(A))| -in(C,$f7(A))|C=singleton($f6(A,C)).
% 2.21/2.35 0 [] $f3(A)=singleton($f5(A))|in(C,$f7(A))| -in(D,A)|C!=singleton(D).
% 2.21/2.35 0 [] $f4(A)!=$f3(A)| -in(C,$f7(A))|in($f6(A,C),A).
% 2.21/2.35 0 [] $f4(A)!=$f3(A)| -in(C,$f7(A))|C=singleton($f6(A,C)).
% 2.21/2.35 0 [] $f4(A)!=$f3(A)|in(C,$f7(A))| -in(D,A)|C!=singleton(D).
% 2.21/2.35 0 [] -in(D,$f10(A,B))|in(D,cartesian_product2(A,B)).
% 2.21/2.35 0 [] -in(D,$f10(A,B))|ordered_pair($f9(A,B,D),$f8(A,B,D))=D.
% 2.21/2.35 0 [] -in(D,$f10(A,B))|in($f9(A,B,D),A).
% 2.21/2.35 0 [] -in(D,$f10(A,B))|$f8(A,B,D)=singleton($f9(A,B,D)).
% 2.21/2.35 0 [] in(D,$f10(A,B))| -in(D,cartesian_product2(A,B))|ordered_pair(E,F)!=D| -in(E,A)|F!=singleton(E).
% 2.21/2.35 0 [] -empty(A)|relation(A).
% 2.21/2.35 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.21/2.35 0 [] -function(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(B,D),A)|C=D.
% 2.21/2.35 0 [] function(A)|in(ordered_pair($f13(A),$f12(A)),A).
% 2.21/2.35 0 [] function(A)|in(ordered_pair($f13(A),$f11(A)),A).
% 2.21/2.35 0 [] function(A)|$f12(A)!=$f11(A).
% 2.21/2.35 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f15(A,B),$f14(A,B)).
% 2.21/2.35 0 [] relation(A)|in($f16(A),A).
% 2.21/2.35 0 [] relation(A)|$f16(A)!=ordered_pair(C,D).
% 2.21/2.35 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.21/2.35 0 [] $T.
% 2.21/2.35 0 [] $T.
% 2.21/2.35 0 [] $T.
% 2.21/2.35 0 [] $T.
% 2.21/2.35 0 [] element($f17(A),A).
% 2.21/2.35 0 [] empty(empty_set).
% 2.21/2.35 0 [] relation(empty_set).
% 2.21/2.35 0 [] relation_empty_yielding(empty_set).
% 2.21/2.35 0 [] empty(empty_set).
% 2.21/2.35 0 [] -empty(singleton(A)).
% 2.21/2.35 0 [] -empty(unordered_pair(A,B)).
% 2.21/2.35 0 [] empty(empty_set).
% 2.21/2.35 0 [] relation(empty_set).
% 2.21/2.35 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.21/2.35 0 [] empty($c10).
% 2.21/2.35 0 [] relation($c10).
% 2.21/2.35 0 [] -empty($c11).
% 2.21/2.35 0 [] relation($c11).
% 2.21/2.35 0 [] relation($c12).
% 2.21/2.35 0 [] relation_empty_yielding($c12).
% 2.21/2.35 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.21/2.35 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.21/2.35 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.21/2.35 0 [] -in(A,B)|element(A,B).
% 2.21/2.35 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.21/2.35 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 2.21/2.35 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 2.21/2.35 0 [] -empty(A)|A=empty_set.
% 2.21/2.35 0 [] -in(A,B)| -empty(B).
% 2.21/2.35 0 [] -empty(A)|A=B| -empty(B).
% 2.21/2.35 end_of_list.
% 2.21/2.35
% 2.21/2.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.21/2.35
% 2.21/2.35 This ia a non-Horn set with equality. The strategy will be
% 2.21/2.35 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.21/2.35 deletion, with positive clauses in sos and nonpositive
% 2.21/2.35 clauses in usable.
% 2.21/2.35
% 2.21/2.35 dependent: set(knuth_bendix).
% 2.21/2.35 dependent: set(anl_eq).
% 2.21/2.35 dependent: set(para_from).
% 2.21/2.35 dependent: set(para_into).
% 2.21/2.35 dependent: clear(para_from_right).
% 2.21/2.35 dependent: clear(para_into_right).
% 2.21/2.35 dependent: set(para_from_vars).
% 2.21/2.35 dependent: set(eq_units_both_ways).
% 2.21/2.35 dependent: set(dynamic_demod_all).
% 2.21/2.35 dependent: set(dynamic_demod).
% 2.21/2.35 dependent: set(order_eq).
% 2.21/2.35 dependent: set(back_demod).
% 2.21/2.35 dependent: set(lrpo).
% 2.21/2.35 dependent: set(hyper_res).
% 2.21/2.35 dependent: set(unit_deletion).
% 2.21/2.35 dependent: set(factor).
% 2.21/2.35
% 2.21/2.35 ------------> process usable:
% 2.21/2.35 ** KEPT (pick-wt=14): 1 [] -in(A,$c1)|B!=singleton(A)|C!=singleton(A)|B=C.
% 2.21/2.35 ** KEPT (pick-wt=15): 2 [] -relation(A)| -function(A)|in(ordered_pair($f2(A),$f1(A)),A)|in($f2(A),$c1).
% 2.21/2.35 ** KEPT (pick-wt=17): 4 [copy,3,flip.4] -relation(A)| -function(A)|in(ordered_pair($f2(A),$f1(A)),A)|singleton($f2(A))=$f1(A).
% 2.21/2.35 ** KEPT (pick-wt=21): 6 [copy,5,flip.5] -relation(A)| -function(A)| -in(ordered_pair($f2(A),$f1(A)),A)| -in($f2(A),$c1)|singleton($f2(A))!=$f1(A).
% 2.21/2.35 ** KEPT (pick-wt=4): 7 [] -ordinal(A)|epsilon_transitive(A).
% 2.21/2.35 ** KEPT (pick-wt=4): 8 [] -ordinal(A)|epsilon_connected(A).
% 2.21/2.35 ** KEPT (pick-wt=6): 9 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.21/2.35 ** KEPT (pick-wt=2): 10 [] -empty($c5).
% 2.21/2.35 ** KEPT (pick-wt=4): 11 [] -empty(A)|function(A).
% 2.21/2.35 ** KEPT (pick-wt=8): 12 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.21/2.35 ** KEPT (pick-wt=4): 13 [] -empty(A)|epsilon_transitive(A).
% 2.21/2.35 ** KEPT (pick-wt=4): 14 [] -empty(A)|epsilon_connected(A).
% 2.21/2.35 ** KEPT (pick-wt=4): 15 [] -empty(A)|ordinal(A).
% 2.21/2.35 ** KEPT (pick-wt=2): 16 [] -empty($c8).
% 2.21/2.35 ** KEPT (pick-wt=6): 17 [] -in(A,B)| -in(B,A).
% 2.21/2.35 ** KEPT (pick-wt=4): 18 [] -empty(ordered_pair(A,B)).
% 2.21/2.35 ** KEPT (pick-wt=13): 19 [] in($f5(A),A)| -in(B,$f7(A))|in($f6(A,B),A).
% 2.21/2.35 ** KEPT (pick-wt=14): 21 [copy,20,flip.3] in($f5(A),A)| -in(B,$f7(A))|singleton($f6(A,B))=B.
% 2.21/2.35 ** KEPT (pick-wt=15): 22 [] in($f5(A),A)|in(B,$f7(A))| -in(C,A)|B!=singleton(C).
% 2.21/2.35 ** KEPT (pick-wt=15): 24 [copy,23,flip.1] singleton($f5(A))=$f4(A)| -in(B,$f7(A))|in($f6(A,B),A).
% 2.21/2.35 ** KEPT (pick-wt=16): 26 [copy,25,flip.1,flip.3] singleton($f5(A))=$f4(A)| -in(B,$f7(A))|singleton($f6(A,B))=B.
% 2.21/2.35 ** KEPT (pick-wt=17): 28 [copy,27,flip.1] singleton($f5(A))=$f4(A)|in(B,$f7(A))| -in(C,A)|B!=singleton(C).
% 2.21/2.35 ** KEPT (pick-wt=15): 30 [copy,29,flip.1] singleton($f5(A))=$f3(A)| -in(B,$f7(A))|in($f6(A,B),A).
% 2.21/2.35 ** KEPT (pick-wt=16): 32 [copy,31,flip.1,flip.3] singleton($f5(A))=$f3(A)| -in(B,$f7(A))|singleton($f6(A,B))=B.
% 2.21/2.35 ** KEPT (pick-wt=17): 34 [copy,33,flip.1] singleton($f5(A))=$f3(A)|in(B,$f7(A))| -in(C,A)|B!=singleton(C).
% 2.21/2.35 ** KEPT (pick-wt=14): 35 [] $f4(A)!=$f3(A)| -in(B,$f7(A))|in($f6(A,B),A).
% 2.21/2.35 ** KEPT (pick-wt=15): 37 [copy,36,flip.3] $f4(A)!=$f3(A)| -in(B,$f7(A))|singleton($f6(A,B))=B.
% 2.21/2.35 ** KEPT (pick-wt=16): 38 [] $f4(A)!=$f3(A)|in(B,$f7(A))| -in(C,A)|B!=singleton(C).
% 2.21/2.35 ** KEPT (pick-wt=10): 39 [] -in(A,$f10(B,C))|in(A,cartesian_product2(B,C)).
% 2.21/2.35 ** KEPT (pick-wt=16): 40 [] -in(A,$f10(B,C))|ordered_pair($f9(B,C,A),$f8(B,C,A))=A.
% 2.21/2.35 ** KEPT (pick-wt=11): 41 [] -in(A,$f10(B,C))|in($f9(B,C,A),B).
% 2.21/2.35 ** KEPT (pick-wt=15): 43 [copy,42,flip.2] -in(A,$f10(B,C))|singleton($f9(B,C,A))=$f8(B,C,A).
% 2.21/2.35 ** KEPT (pick-wt=22): 44 [] in(A,$f10(B,C))| -in(A,cartesian_product2(B,C))|ordered_pair(D,E)!=A| -in(D,B)|E!=singleton(D).
% 2.21/2.35 ** KEPT (pick-wt=4): 45 [] -empty(A)|relation(A).
% 2.21/2.35 ** KEPT (pick-wt=15): 46 [] -function(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(B,D),A)|C=D.
% 2.21/2.35 ** KEPT (pick-wt=7): 47 [] function(A)|$f12(A)!=$f11(A).
% 2.21/2.35 ** KEPT (pick-wt=14): 49 [copy,48,flip.3] -relation(A)| -in(B,A)|ordered_pair($f15(A,B),$f14(A,B))=B.
% 2.21/2.35 ** KEPT (pick-wt=8): 50 [] relation(A)|$f16(A)!=ordered_pair(B,C).
% 2.21/2.35 ** KEPT (pick-wt=3): 51 [] -empty(singleton(A)).
% 2.21/2.35 ** KEPT (pick-wt=4): 52 [] -empty(unordered_pair(A,B)).
% 2.21/2.35 ** KEPT (pick-wt=8): 53 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.21/2.35 ** KEPT (pick-wt=2): 54 [] -empty($c11).
% 2.21/2.35 ** KEPT (pick-wt=10): 55 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.21/2.35 ** KEPT (pick-wt=10): 56 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.21/2.35 ** KEPT (pick-wt=13): 57 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.21/2.35 ** KEPT (pick-wt=6): 58 [] -in(A,B)|element(A,B).
% 2.21/2.35 ** KEPT (pick-wt=8): 59 [] -element(A,B)|empty(B)|in(A,B).
% 2.21/2.35 ** KEPT (pick-wt=10): 60 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 2.21/2.35 ** KEPT (pick-wt=10): 61 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 2.21/2.35 ** KEPT (pick-wt=5): 62 [] -empty(A)|A=empty_set.
% 2.21/2.35 ** KEPT (pick-wt=5): 63 [] -in(A,B)| -empty(B).
% 2.21/2.35 ** KEPT (pick-wt=7): 64 [] -empty(A)|A=B| -empty(B).
% 2.21/2.35
% 2.21/2.35 ------------> process sos:
% 2.21/2.35 ** KEPT (pick-wt=3): 71 [] A=A.
% 2.21/2.35 ** KEPT (pick-wt=2): 72 [] relation($c2).
% 2.21/2.35 ** KEPT (pick-wt=2): 73 [] function($c2).
% 2.21/2.35 ** KEPT (pick-wt=2): 74 [] one_to_one($c2).
% 2.21/2.35 ** KEPT (pick-wt=2): 75 [] epsilon_transitive($c3).
% 2.21/2.35 ** KEPT (pick-wt=2): 76 [] epsilon_connected($c3).
% 2.21/2.35 ** KEPT (pick-wt=2): 77 [] ordinal($c3).
% 2.21/2.35 ** KEPT (pick-wt=2): 78 [] relation($c4).
% 2.21/2.35 ** KEPT (pick-wt=2): 79 [] function($c4).
% 2.21/2.35 ** KEPT (pick-wt=2): 80 [] one_to_one($c4).
% 2.21/2.35 ** KEPT (pick-wt=2): 81 [] empty($c4).
% 2.21/2.35 ** KEPT (pick-wt=2): 82 [] epsilon_transitive($c4).
% 2.21/2.35 ** KEPT (pick-wt=2): 83 [] epsilon_connected($c4).
% 2.21/2.35 ** KEPT (pick-wt=2): 84 [] ordinal($c4).
% 2.21/2.35 ** KEPT (pick-wt=2): 85 [] epsilon_transitive($c5).
% 73.82/74.00 ** KEPT (pick-wt=2): 86 [] epsilon_connected($c5).
% 73.82/74.00 ** KEPT (pick-wt=2): 87 [] ordinal($c5).
% 73.82/74.00 ** KEPT (pick-wt=2): 88 [] relation($c6).
% 73.82/74.00 ** KEPT (pick-wt=2): 89 [] empty($c6).
% 73.82/74.00 ** KEPT (pick-wt=2): 90 [] function($c6).
% 73.82/74.00 ** KEPT (pick-wt=2): 91 [] empty($c7).
% 73.82/74.00 ** KEPT (pick-wt=2): 92 [] relation($c9).
% 73.82/74.00 ** KEPT (pick-wt=2): 93 [] function($c9).
% 73.82/74.00 ** KEPT (pick-wt=7): 94 [] unordered_pair(A,B)=unordered_pair(B,A).
% 73.82/74.00 ** KEPT (pick-wt=9): 95 [] function(A)|in(ordered_pair($f13(A),$f12(A)),A).
% 73.82/74.00 ** KEPT (pick-wt=9): 96 [] function(A)|in(ordered_pair($f13(A),$f11(A)),A).
% 73.82/74.00 ** KEPT (pick-wt=6): 97 [] relation(A)|in($f16(A),A).
% 73.82/74.00 ** KEPT (pick-wt=10): 99 [copy,98,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 73.82/74.00 ---> New Demodulator: 100 [new_demod,99] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 73.82/74.00 ** KEPT (pick-wt=4): 101 [] element($f17(A),A).
% 73.82/74.00 ** KEPT (pick-wt=2): 102 [] empty(empty_set).
% 73.82/74.00 ** KEPT (pick-wt=2): 103 [] relation(empty_set).
% 73.82/74.00 ** KEPT (pick-wt=2): 104 [] relation_empty_yielding(empty_set).
% 73.82/74.00 Following clause subsumed by 102 during input processing: 0 [] empty(empty_set).
% 73.82/74.00 Following clause subsumed by 102 during input processing: 0 [] empty(empty_set).
% 73.82/74.00 Following clause subsumed by 103 during input processing: 0 [] relation(empty_set).
% 73.82/74.00 ** KEPT (pick-wt=2): 105 [] empty($c10).
% 73.82/74.00 ** KEPT (pick-wt=2): 106 [] relation($c10).
% 73.82/74.00 ** KEPT (pick-wt=2): 107 [] relation($c11).
% 73.82/74.00 ** KEPT (pick-wt=2): 108 [] relation($c12).
% 73.82/74.00 ** KEPT (pick-wt=2): 109 [] relation_empty_yielding($c12).
% 73.82/74.00 Following clause subsumed by 71 during input processing: 0 [copy,71,flip.1] A=A.
% 73.82/74.00 71 back subsumes 70.
% 73.82/74.00 71 back subsumes 67.
% 73.82/74.00 71 back subsumes 65.
% 73.82/74.00 Following clause subsumed by 94 during input processing: 0 [copy,94,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 73.82/74.00 >>>> Starting back demodulation with 100.
% 73.82/74.00
% 73.82/74.00 ======= end of input processing =======
% 73.82/74.00
% 73.82/74.00 =========== start of search ===========
% 73.82/74.00
% 73.82/74.00
% 73.82/74.00 Resetting weight limit to 9.
% 73.82/74.00
% 73.82/74.00
% 73.82/74.00 Resetting weight limit to 9.
% 73.82/74.00
% 73.82/74.00 sos_size=840
% 73.82/74.00
% 73.82/74.00 Search stopped because sos empty.
% 73.82/74.00
% 73.82/74.00
% 73.82/74.00 Search stopped because sos empty.
% 73.82/74.00
% 73.82/74.00 ============ end of search ============
% 73.82/74.00
% 73.82/74.00 -------------- statistics -------------
% 73.82/74.00 clauses given 1107
% 73.82/74.00 clauses generated 1715461
% 73.82/74.00 clauses kept 1246
% 73.82/74.00 clauses forward subsumed 2417
% 73.82/74.00 clauses back subsumed 48
% 73.82/74.00 Kbytes malloced 7812
% 73.82/74.00
% 73.82/74.00 ----------- times (seconds) -----------
% 73.82/74.00 user CPU time 71.65 (0 hr, 1 min, 11 sec)
% 73.82/74.00 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 73.82/74.00 wall-clock time 74 (0 hr, 1 min, 14 sec)
% 73.82/74.00
% 73.82/74.00 Process 11676 finished Wed Jul 27 07:37:39 2022
% 73.82/74.00 Otter interrupted
% 73.82/74.00 PROOF NOT FOUND
%------------------------------------------------------------------------------