TSTP Solution File: SEU260+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU260+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:15:22 EDT 2022
% Result : Unknown 17.87s 18.04s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU260+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.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 07:02:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.58/2.00 ----- Otter 3.3f, August 2004 -----
% 1.58/2.00 The process was started by sandbox on n017.cluster.edu,
% 1.58/2.00 Wed Jul 27 07:02:33 2022
% 1.58/2.00 The command was "./otter". The process ID is 5581.
% 1.58/2.00
% 1.58/2.00 set(prolog_style_variables).
% 1.58/2.00 set(auto).
% 1.58/2.00 dependent: set(auto1).
% 1.58/2.00 dependent: set(process_input).
% 1.58/2.00 dependent: clear(print_kept).
% 1.58/2.00 dependent: clear(print_new_demod).
% 1.58/2.00 dependent: clear(print_back_demod).
% 1.58/2.00 dependent: clear(print_back_sub).
% 1.58/2.00 dependent: set(control_memory).
% 1.58/2.00 dependent: assign(max_mem, 12000).
% 1.58/2.00 dependent: assign(pick_given_ratio, 4).
% 1.58/2.00 dependent: assign(stats_level, 1).
% 1.58/2.00 dependent: assign(max_seconds, 10800).
% 1.58/2.00 clear(print_given).
% 1.58/2.00
% 1.58/2.00 formula_list(usable).
% 1.58/2.00 all A (A=A).
% 1.58/2.00 all A B (in(A,B)-> -in(B,A)).
% 1.58/2.00 all A (empty(A)->function(A)).
% 1.58/2.00 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.58/2.00 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.58/2.00 all A B (set_union2(A,B)=set_union2(B,A)).
% 1.58/2.00 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)))))).
% 1.58/2.00 all A (relation(A)-> (all B C (C=fiber(A,B)<-> (all D (in(D,C)<->D!=B&in(ordered_pair(D,B),A)))))).
% 1.58/2.00 all A (relation(A)-> (well_founded_relation(A)<-> (all B (-(subset(B,relation_field(A))&B!=empty_set& (all C (-(in(C,B)&disjoint(fiber(A,C),B))))))))).
% 1.58/2.00 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)))))))).
% 1.58/2.00 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.58/2.00 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 1.58/2.00 all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (relation_isomorphism(A,B,C)<->relation_dom(C)=relation_field(A)&relation_rng(C)=relation_field(B)&one_to_one(C)& (all D E (in(ordered_pair(D,E),A)<->in(D,relation_field(A))&in(E,relation_field(A))&in(ordered_pair(apply(C,D),apply(C,E)),B))))))))).
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 $T.
% 1.58/2.00 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 1.58/2.00 $T.
% 1.58/2.00 all A exists B element(B,A).
% 1.58/2.00 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 1.58/2.00 empty(empty_set).
% 1.58/2.00 all A B (-empty(ordered_pair(A,B))).
% 1.58/2.00 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 1.58/2.00 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 1.58/2.00 all A B (set_union2(A,A)=A).
% 1.58/2.00 all A (relation(A)-> (reflexive(A)<-> (all B (in(B,relation_field(A))->in(ordered_pair(B,B),A))))).
% 1.58/2.00 all A (relation(A)-> (transitive(A)<-> (all B C D (in(ordered_pair(B,C),A)&in(ordered_pair(C,D),A)->in(ordered_pair(B,D),A))))).
% 1.58/2.00 all A (relation(A)-> (antisymmetric(A)<-> (all B C (in(ordered_pair(B,C),A)&in(ordered_pair(C,B),A)->B=C)))).
% 1.58/2.00 all A (relation(A)-> (connected(A)<-> (all B C (-(in(B,relation_field(A))&in(C,relation_field(A))&B!=C& -in(ordered_pair(B,C),A)& -in(ordered_pair(C,B),A)))))).
% 1.58/2.00 exists A (relation(A)&function(A)).
% 1.58/2.00 exists A empty(A).
% 1.58/2.00 exists A (relation(A)&empty(A)&function(A)).
% 1.58/2.00 exists A (-empty(A)).
% 1.58/2.00 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.58/2.00 all A B subset(A,A).
% 1.58/2.00 all A B (disjoint(A,B)->disjoint(B,A)).
% 1.58/2.00 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 1.58/2.00 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 1.58/2.00 all A (set_union2(A,empty_set)=A).
% 1.58/2.00 all A B (in(A,B)->element(A,B)).
% 1.58/2.00 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.58/2.00 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 1.58/2.00 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.58/2.00 all A B (-(-disjoint(A,B)& (all C (-(in(C,A)&in(C,B)))))& -((exists C (in(C,A)&in(C,B)))&disjoint(A,B))).
% 1.58/2.00 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.58/2.00 -(all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (relation_isomorphism(A,B,C)-> (reflexive(A)->reflexive(B))& (transitive(A)->transitive(B))& (connected(A)->connected(B))& (antisymmetric(A)->antisymmetric(B))& (well_founded_relation(A)->well_founded_relation(B))))))))).
% 1.58/2.01 all A (relation(A)&function(A)-> (one_to_one(A)->relation_rng(A)=relation_dom(function_inverse(A))&relation_dom(A)=relation_rng(function_inverse(A)))).
% 1.58/2.01 all A B (relation(B)&function(B)-> (one_to_one(B)&in(A,relation_rng(B))->A=apply(B,apply(function_inverse(B),A))&A=apply(relation_composition(function_inverse(B),B),A))).
% 1.58/2.01 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.58/2.01 all A (empty(A)->A=empty_set).
% 1.58/2.01 all A B (-(in(A,B)&empty(B))).
% 1.58/2.01 all A B (-(empty(A)&A!=B&empty(B))).
% 1.58/2.01 end_of_list.
% 1.58/2.01
% 1.58/2.01 -------> usable clausifies to:
% 1.58/2.01
% 1.58/2.01 list(usable).
% 1.58/2.01 0 [] A=A.
% 1.58/2.01 0 [] -in(A,B)| -in(B,A).
% 1.58/2.01 0 [] -empty(A)|function(A).
% 1.58/2.01 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.58/2.01 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.58/2.01 0 [] set_union2(A,B)=set_union2(B,A).
% 1.58/2.01 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 1.58/2.01 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 1.58/2.01 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 1.58/2.01 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f1(A,B,C),C)|in($f1(A,B,C),relation_dom(A)).
% 1.58/2.01 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f1(A,B,C),C)|in(apply(A,$f1(A,B,C)),B).
% 1.58/2.01 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f1(A,B,C),C)| -in($f1(A,B,C),relation_dom(A))| -in(apply(A,$f1(A,B,C)),B).
% 1.58/2.01 0 [] -relation(A)|C!=fiber(A,B)| -in(D,C)|D!=B.
% 1.58/2.01 0 [] -relation(A)|C!=fiber(A,B)| -in(D,C)|in(ordered_pair(D,B),A).
% 1.58/2.01 0 [] -relation(A)|C!=fiber(A,B)|in(D,C)|D=B| -in(ordered_pair(D,B),A).
% 1.58/2.01 0 [] -relation(A)|C=fiber(A,B)|in($f2(A,B,C),C)|$f2(A,B,C)!=B.
% 1.58/2.01 0 [] -relation(A)|C=fiber(A,B)|in($f2(A,B,C),C)|in(ordered_pair($f2(A,B,C),B),A).
% 1.58/2.01 0 [] -relation(A)|C=fiber(A,B)| -in($f2(A,B,C),C)|$f2(A,B,C)=B| -in(ordered_pair($f2(A,B,C),B),A).
% 1.58/2.01 0 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|in($f3(A,B),B).
% 1.58/2.01 0 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|disjoint(fiber(A,$f3(A,B)),B).
% 1.58/2.01 0 [] -relation(A)|well_founded_relation(A)|subset($f4(A),relation_field(A)).
% 1.58/2.01 0 [] -relation(A)|well_founded_relation(A)|$f4(A)!=empty_set.
% 1.58/2.01 0 [] -relation(A)|well_founded_relation(A)| -in(C,$f4(A))| -disjoint(fiber(A,C),$f4(A)).
% 1.58/2.01 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f5(A,B,C),relation_dom(A)).
% 1.58/2.01 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f5(A,B,C)).
% 1.58/2.01 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 1.58/2.01 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|in($f6(A,B),relation_dom(A)).
% 1.58/2.01 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f7(A,B),B)|$f7(A,B)=apply(A,$f6(A,B)).
% 1.58/2.01 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f7(A,B),B)| -in(X1,relation_dom(A))|$f7(A,B)!=apply(A,X1).
% 1.58/2.01 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.58/2.01 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_dom(C)=relation_field(A).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_rng(C)=relation_field(B).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|one_to_one(C).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(D,relation_field(A)).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(E,relation_field(A)).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(ordered_pair(apply(C,D),apply(C,E)),B).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|in(ordered_pair(D,E),A)| -in(D,relation_field(A))| -in(E,relation_field(A))| -in(ordered_pair(apply(C,D),apply(C,E)),B).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),A)|in($f9(A,B,C),relation_field(A)).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),A)|in($f8(A,B,C),relation_field(A)).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),A)|in(ordered_pair(apply(C,$f9(A,B,C)),apply(C,$f8(A,B,C))),B).
% 1.58/2.01 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),A)| -in($f9(A,B,C),relation_field(A))| -in($f8(A,B,C),relation_field(A))| -in(ordered_pair(apply(C,$f9(A,B,C)),apply(C,$f8(A,B,C))),B).
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 1.58/2.01 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.58/2.01 0 [] $T.
% 1.58/2.01 0 [] element($f10(A),A).
% 1.58/2.01 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.58/2.01 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.58/2.01 0 [] empty(empty_set).
% 1.58/2.01 0 [] -empty(ordered_pair(A,B)).
% 1.58/2.01 0 [] empty(A)| -empty(set_union2(A,B)).
% 1.58/2.01 0 [] empty(A)| -empty(set_union2(B,A)).
% 1.58/2.01 0 [] set_union2(A,A)=A.
% 1.58/2.01 0 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 1.58/2.01 0 [] -relation(A)|reflexive(A)|in($f11(A),relation_field(A)).
% 1.58/2.01 0 [] -relation(A)|reflexive(A)| -in(ordered_pair($f11(A),$f11(A)),A).
% 1.58/2.01 0 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 1.58/2.01 0 [] -relation(A)|transitive(A)|in(ordered_pair($f14(A),$f13(A)),A).
% 1.58/2.01 0 [] -relation(A)|transitive(A)|in(ordered_pair($f13(A),$f12(A)),A).
% 1.58/2.01 0 [] -relation(A)|transitive(A)| -in(ordered_pair($f14(A),$f12(A)),A).
% 1.58/2.01 0 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 1.58/2.01 0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f16(A),$f15(A)),A).
% 1.58/2.01 0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f15(A),$f16(A)),A).
% 1.58/2.01 0 [] -relation(A)|antisymmetric(A)|$f16(A)!=$f15(A).
% 1.58/2.01 0 [] -relation(A)| -connected(A)| -in(B,relation_field(A))| -in(C,relation_field(A))|B=C|in(ordered_pair(B,C),A)|in(ordered_pair(C,B),A).
% 1.58/2.01 0 [] -relation(A)|connected(A)|in($f18(A),relation_field(A)).
% 1.58/2.01 0 [] -relation(A)|connected(A)|in($f17(A),relation_field(A)).
% 1.58/2.01 0 [] -relation(A)|connected(A)|$f18(A)!=$f17(A).
% 1.58/2.01 0 [] -relation(A)|connected(A)| -in(ordered_pair($f18(A),$f17(A)),A).
% 1.58/2.01 0 [] -relation(A)|connected(A)| -in(ordered_pair($f17(A),$f18(A)),A).
% 1.58/2.01 0 [] relation($c1).
% 1.58/2.01 0 [] function($c1).
% 1.58/2.01 0 [] empty($c2).
% 1.58/2.01 0 [] relation($c3).
% 1.58/2.01 0 [] empty($c3).
% 1.58/2.01 0 [] function($c3).
% 1.58/2.01 0 [] -empty($c4).
% 1.58/2.01 0 [] relation($c5).
% 1.58/2.01 0 [] function($c5).
% 1.58/2.01 0 [] one_to_one($c5).
% 1.58/2.01 0 [] subset(A,A).
% 1.58/2.01 0 [] -disjoint(A,B)|disjoint(B,A).
% 1.58/2.01 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 1.58/2.01 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 1.58/2.01 0 [] set_union2(A,empty_set)=A.
% 1.58/2.01 0 [] -in(A,B)|element(A,B).
% 1.58/2.01 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.58/2.01 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 1.58/2.01 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 1.58/2.01 0 [] -element(A,powerset(B))|subset(A,B).
% 1.58/2.01 0 [] element(A,powerset(B))| -subset(A,B).
% 1.58/2.01 0 [] disjoint(A,B)|in($f19(A,B),A).
% 1.58/2.01 0 [] disjoint(A,B)|in($f19(A,B),B).
% 1.58/2.01 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 1.58/2.01 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.58/2.01 0 [] relation($c8).
% 1.58/2.01 0 [] relation($c7).
% 1.58/2.01 0 [] relation($c6).
% 1.58/2.01 0 [] function($c6).
% 1.58/2.01 0 [] relation_isomorphism($c8,$c7,$c6).
% 1.58/2.01 0 [] reflexive($c8)|transitive($c8)|connected($c8)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.01 0 [] reflexive($c8)|transitive($c8)|connected($c8)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.01 0 [] reflexive($c8)|transitive($c8)|connected($c8)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.01 0 [] reflexive($c8)|transitive($c8)|connected($c8)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.01 0 [] reflexive($c8)|transitive($c8)| -connected($c7)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.01 0 [] reflexive($c8)|transitive($c8)| -connected($c7)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.01 0 [] reflexive($c8)|transitive($c8)| -connected($c7)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.01 0 [] reflexive($c8)|transitive($c8)| -connected($c7)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.01 0 [] reflexive($c8)| -transitive($c7)|connected($c8)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.01 0 [] reflexive($c8)| -transitive($c7)|connected($c8)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.01 0 [] reflexive($c8)| -transitive($c7)|connected($c8)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.01 0 [] reflexive($c8)| -transitive($c7)|connected($c8)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.01 0 [] reflexive($c8)| -transitive($c7)| -connected($c7)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.01 0 [] reflexive($c8)| -transitive($c7)| -connected($c7)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.01 0 [] reflexive($c8)| -transitive($c7)| -connected($c7)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.01 0 [] reflexive($c8)| -transitive($c7)| -connected($c7)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -reflexive($c7)|transitive($c8)|connected($c8)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.01 0 [] -reflexive($c7)|transitive($c8)|connected($c8)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -reflexive($c7)|transitive($c8)|connected($c8)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.01 0 [] -reflexive($c7)|transitive($c8)|connected($c8)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -reflexive($c7)|transitive($c8)| -connected($c7)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.01 0 [] -reflexive($c7)|transitive($c8)| -connected($c7)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -reflexive($c7)|transitive($c8)| -connected($c7)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.01 0 [] -reflexive($c7)|transitive($c8)| -connected($c7)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -reflexive($c7)| -transitive($c7)|connected($c8)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.01 0 [] -reflexive($c7)| -transitive($c7)|connected($c8)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -reflexive($c7)| -transitive($c7)|connected($c8)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.01 0 [] -reflexive($c7)| -transitive($c7)|connected($c8)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -reflexive($c7)| -transitive($c7)| -connected($c7)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.01 0 [] -reflexive($c7)| -transitive($c7)| -connected($c7)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -reflexive($c7)| -transitive($c7)| -connected($c7)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.01 0 [] -reflexive($c7)| -transitive($c7)| -connected($c7)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.01 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 1.58/2.01 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 1.58/2.01 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 1.58/2.01 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 1.58/2.01 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.58/2.01 0 [] -empty(A)|A=empty_set.
% 1.58/2.01 0 [] -in(A,B)| -empty(B).
% 1.58/2.01 0 [] -empty(A)|A=B| -empty(B).
% 1.58/2.01 end_of_list.
% 1.58/2.01
% 1.58/2.01 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 1.58/2.01
% 1.58/2.01 This ia a non-Horn set with equality. The strategy will be
% 1.58/2.01 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.58/2.01 deletion, with positive clauses in sos and nonpositive
% 1.58/2.01 clauses in usable.
% 1.58/2.01
% 1.58/2.01 dependent: set(knuth_bendix).
% 1.58/2.01 dependent: set(anl_eq).
% 1.58/2.01 dependent: set(para_from).
% 1.58/2.01 dependent: set(para_into).
% 1.58/2.01 dependent: clear(para_from_right).
% 1.58/2.01 dependent: clear(para_into_right).
% 1.58/2.01 dependent: set(para_from_vars).
% 1.58/2.01 dependent: set(eq_units_both_ways).
% 1.58/2.01 dependent: set(dynamic_demod_all).
% 1.58/2.01 dependent: set(dynamic_demod).
% 1.58/2.01 dependent: set(order_eq).
% 1.58/2.01 dependent: set(back_demod).
% 1.58/2.01 dependent: set(lrpo).
% 1.58/2.01 dependent: set(hyper_res).
% 1.58/2.01 dependent: set(unit_deletion).
% 1.58/2.01 dependent: set(factor).
% 1.58/2.01
% 1.58/2.01 ------------> process usable:
% 1.58/2.01 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.58/2.01 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.58/2.01 ** KEPT (pick-wt=8): 3 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.58/2.01 ** KEPT (pick-wt=16): 4 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 1.58/2.01 ** KEPT (pick-wt=17): 5 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 1.58/2.01 ** KEPT (pick-wt=21): 6 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 1.58/2.01 ** KEPT (pick-wt=22): 7 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f1(A,C,B),B)|in($f1(A,C,B),relation_dom(A)).
% 1.58/2.01 ** KEPT (pick-wt=23): 8 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f1(A,C,B),B)|in(apply(A,$f1(A,C,B)),C).
% 1.58/2.01 ** KEPT (pick-wt=30): 9 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f1(A,C,B),B)| -in($f1(A,C,B),relation_dom(A))| -in(apply(A,$f1(A,C,B)),C).
% 1.58/2.01 ** KEPT (pick-wt=13): 10 [] -relation(A)|B!=fiber(A,C)| -in(D,B)|D!=C.
% 1.58/2.01 ** KEPT (pick-wt=15): 11 [] -relation(A)|B!=fiber(A,C)| -in(D,B)|in(ordered_pair(D,C),A).
% 1.58/2.01 ** KEPT (pick-wt=18): 12 [] -relation(A)|B!=fiber(A,C)|in(D,B)|D=C| -in(ordered_pair(D,C),A).
% 1.58/2.01 ** KEPT (pick-wt=19): 13 [] -relation(A)|B=fiber(A,C)|in($f2(A,C,B),B)|$f2(A,C,B)!=C.
% 1.58/2.01 ** KEPT (pick-wt=21): 14 [] -relation(A)|B=fiber(A,C)|in($f2(A,C,B),B)|in(ordered_pair($f2(A,C,B),C),A).
% 1.58/2.01 ** KEPT (pick-wt=27): 15 [] -relation(A)|B=fiber(A,C)| -in($f2(A,C,B),B)|$f2(A,C,B)=C| -in(ordered_pair($f2(A,C,B),C),A).
% 1.58/2.01 ** KEPT (pick-wt=16): 16 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|in($f3(A,B),B).
% 1.58/2.01 ** KEPT (pick-wt=18): 17 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|disjoint(fiber(A,$f3(A,B)),B).
% 1.58/2.01 ** KEPT (pick-wt=9): 18 [] -relation(A)|well_founded_relation(A)|subset($f4(A),relation_field(A)).
% 1.58/2.01 ** KEPT (pick-wt=8): 19 [] -relation(A)|well_founded_relation(A)|$f4(A)!=empty_set.
% 1.58/2.01 ** KEPT (pick-wt=14): 20 [] -relation(A)|well_founded_relation(A)| -in(B,$f4(A))| -disjoint(fiber(A,B),$f4(A)).
% 1.58/2.01 ** KEPT (pick-wt=18): 21 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f5(A,B,C),relation_dom(A)).
% 1.58/2.01 ** KEPT (pick-wt=19): 23 [copy,22,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f5(A,B,C))=C.
% 1.58/2.01 ** 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).
% 1.58/2.01 ** 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)).
% 1.58/2.01 ** 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))=$f7(A,B).
% 1.58/2.01 ** KEPT (pick-wt=24): 28 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f7(A,B),B)| -in(C,relation_dom(A))|$f7(A,B)!=apply(A,C).
% 1.58/2.01 ** KEPT (pick-wt=10): 30 [copy,29,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 1.58/2.01 ** KEPT (pick-wt=17): 31 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_dom(C)=relation_field(A).
% 1.58/2.01 ** KEPT (pick-wt=17): 32 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_rng(C)=relation_field(B).
% 1.58/2.01 ** KEPT (pick-wt=14): 33 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|one_to_one(C).
% 1.58/2.01 ** KEPT (pick-wt=21): 34 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(D,relation_field(A)).
% 1.58/2.01 ** KEPT (pick-wt=21): 35 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(E,relation_field(A)).
% 1.58/2.01 ** KEPT (pick-wt=26): 36 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(ordered_pair(apply(C,D),apply(C,E)),B).
% 1.58/2.01 ** KEPT (pick-wt=34): 37 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|in(ordered_pair(D,E),A)| -in(D,relation_field(A))| -in(E,relation_field(A))| -in(ordered_pair(apply(C,D),apply(C,E)),B).
% 1.58/2.01 ** KEPT (pick-wt=42): 38 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),A)|in($f9(A,B,C),relation_field(A)).
% 1.58/2.01 ** KEPT (pick-wt=42): 39 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),A)|in($f8(A,B,C),relation_field(A)).
% 1.58/2.01 ** KEPT (pick-wt=50): 40 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),A)|in(ordered_pair(apply(C,$f9(A,B,C)),apply(C,$f8(A,B,C))),B).
% 1.58/2.01 ** KEPT (pick-wt=64): 41 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),A)| -in($f9(A,B,C),relation_field(A))| -in($f8(A,B,C),relation_field(A))| -in(ordered_pair(apply(C,$f9(A,B,C)),apply(C,$f8(A,B,C))),B).
% 1.58/2.01 ** KEPT (pick-wt=7): 42 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 1.58/2.01 ** KEPT (pick-wt=7): 43 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 1.58/2.01 ** KEPT (pick-wt=8): 44 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.58/2.01 Following clause subsumed by 44 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.58/2.01 ** KEPT (pick-wt=12): 45 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.58/2.01 ** KEPT (pick-wt=4): 46 [] -empty(ordered_pair(A,B)).
% 1.58/2.01 ** KEPT (pick-wt=6): 47 [] empty(A)| -empty(set_union2(A,B)).
% 1.58/2.01 ** KEPT (pick-wt=6): 48 [] empty(A)| -empty(set_union2(B,A)).
% 1.58/2.01 ** KEPT (pick-wt=13): 49 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 1.58/2.01 ** KEPT (pick-wt=9): 50 [] -relation(A)|reflexive(A)|in($f11(A),relation_field(A)).
% 1.58/2.01 ** KEPT (pick-wt=11): 51 [] -relation(A)|reflexive(A)| -in(ordered_pair($f11(A),$f11(A)),A).
% 1.58/2.01 ** KEPT (pick-wt=19): 52 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 1.58/2.01 ** KEPT (pick-wt=11): 53 [] -relation(A)|transitive(A)|in(ordered_pair($f14(A),$f13(A)),A).
% 1.58/2.01 ** KEPT (pick-wt=11): 54 [] -relation(A)|transitive(A)|in(ordered_pair($f13(A),$f12(A)),A).
% 1.58/2.01 ** KEPT (pick-wt=11): 55 [] -relation(A)|transitive(A)| -in(ordered_pair($f14(A),$f12(A)),A).
% 1.58/2.01 ** KEPT (pick-wt=17): 56 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 1.58/2.01 ** KEPT (pick-wt=11): 57 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f16(A),$f15(A)),A).
% 1.58/2.01 ** KEPT (pick-wt=11): 58 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f15(A),$f16(A)),A).
% 1.58/2.01 ** KEPT (pick-wt=9): 59 [] -relation(A)|antisymmetric(A)|$f16(A)!=$f15(A).
% 1.58/2.01 ** KEPT (pick-wt=25): 60 [] -relation(A)| -connected(A)| -in(B,relation_field(A))| -in(C,relation_field(A))|B=C|in(ordered_pair(B,C),A)|in(ordered_pair(C,B),A).
% 1.58/2.01 ** KEPT (pick-wt=9): 61 [] -relation(A)|connected(A)|in($f18(A),relation_field(A)).
% 1.58/2.01 ** KEPT (pick-wt=9): 62 [] -relation(A)|connected(A)|in($f17(A),relation_field(A)).
% 1.58/2.01 ** KEPT (pick-wt=9): 63 [] -relation(A)|connected(A)|$f18(A)!=$f17(A).
% 1.58/2.01 ** KEPT (pick-wt=11): 64 [] -relation(A)|connected(A)| -in(ordered_pair($f18(A),$f17(A)),A).
% 1.58/2.01 ** KEPT (pick-wt=11): 65 [] -relation(A)|connected(A)| -in(ordered_pair($f17(A),$f18(A)),A).
% 1.58/2.03 ** KEPT (pick-wt=2): 66 [] -empty($c4).
% 1.58/2.03 ** KEPT (pick-wt=6): 67 [] -disjoint(A,B)|disjoint(B,A).
% 1.58/2.03 ** KEPT (pick-wt=8): 68 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 1.58/2.03 ** KEPT (pick-wt=14): 69 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 1.58/2.03 ** KEPT (pick-wt=6): 70 [] -in(A,B)|element(A,B).
% 1.58/2.03 ** KEPT (pick-wt=8): 71 [] -element(A,B)|empty(B)|in(A,B).
% 1.58/2.03 ** KEPT (pick-wt=11): 72 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 1.58/2.03 ** KEPT (pick-wt=11): 73 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 1.58/2.03 ** KEPT (pick-wt=7): 74 [] -element(A,powerset(B))|subset(A,B).
% 1.58/2.03 ** KEPT (pick-wt=7): 75 [] element(A,powerset(B))| -subset(A,B).
% 1.58/2.03 ** KEPT (pick-wt=9): 76 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 1.58/2.03 ** KEPT (pick-wt=10): 77 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.58/2.03 ** KEPT (pick-wt=10): 78 [] reflexive($c8)|transitive($c8)|connected($c8)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 79 [] reflexive($c8)|transitive($c8)|connected($c8)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 80 [] reflexive($c8)|transitive($c8)|connected($c8)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 81 [] reflexive($c8)|transitive($c8)| -connected($c7)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 82 [] reflexive($c8)|transitive($c8)| -connected($c7)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 83 [] reflexive($c8)|transitive($c8)| -connected($c7)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 84 [] reflexive($c8)|transitive($c8)| -connected($c7)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 85 [] reflexive($c8)| -transitive($c7)|connected($c8)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 86 [] reflexive($c8)| -transitive($c7)|connected($c8)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 87 [] reflexive($c8)| -transitive($c7)|connected($c8)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 88 [] reflexive($c8)| -transitive($c7)|connected($c8)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 89 [] reflexive($c8)| -transitive($c7)| -connected($c7)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 90 [] reflexive($c8)| -transitive($c7)| -connected($c7)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 91 [] reflexive($c8)| -transitive($c7)| -connected($c7)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 92 [] reflexive($c8)| -transitive($c7)| -connected($c7)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 93 [] -reflexive($c7)|transitive($c8)|connected($c8)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 94 [] -reflexive($c7)|transitive($c8)|connected($c8)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 95 [] -reflexive($c7)|transitive($c8)|connected($c8)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 96 [] -reflexive($c7)|transitive($c8)|connected($c8)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 97 [] -reflexive($c7)|transitive($c8)| -connected($c7)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 98 [] -reflexive($c7)|transitive($c8)| -connected($c7)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 99 [] -reflexive($c7)|transitive($c8)| -connected($c7)| -antisymmetric($c7)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 100 [] -reflexive($c7)|transitive($c8)| -connected($c7)| -antisymmetric($c7)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 101 [] -reflexive($c7)| -transitive($c7)|connected($c8)|antisymmetric($c8)|well_founded_relation($c8).
% 1.58/2.03 ** KEPT (pick-wt=10): 102 [] -reflexive($c7)| -transitive($c7)|connected($c8)|antisymmetric($c8)| -well_founded_relation($c7).
% 1.58/2.03 ** KEPT (pick-wt=10): 103 [] -reflexive($c7)| -transitive($c7)|connected($c8)| -antisymmetric($c7)|well_founded_relation($c8).
% 17.87/18.03 ** KEPT (pick-wt=10): 104 [] -reflexive($c7)| -transitive($c7)|connected($c8)| -antisymmetric($c7)| -well_founded_relation($c7).
% 17.87/18.03 ** KEPT (pick-wt=10): 105 [] -reflexive($c7)| -transitive($c7)| -connected($c7)|antisymmetric($c8)|well_founded_relation($c8).
% 17.87/18.03 ** KEPT (pick-wt=10): 106 [] -reflexive($c7)| -transitive($c7)| -connected($c7)|antisymmetric($c8)| -well_founded_relation($c7).
% 17.87/18.03 ** KEPT (pick-wt=10): 107 [] -reflexive($c7)| -transitive($c7)| -connected($c7)| -antisymmetric($c7)|well_founded_relation($c8).
% 17.87/18.03 ** KEPT (pick-wt=10): 108 [] -reflexive($c7)| -transitive($c7)| -connected($c7)| -antisymmetric($c7)| -well_founded_relation($c7).
% 17.87/18.03 ** KEPT (pick-wt=12): 109 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 17.87/18.03 ** KEPT (pick-wt=12): 111 [copy,110,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 17.87/18.03 ** KEPT (pick-wt=18): 113 [copy,112,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 17.87/18.03 ** KEPT (pick-wt=18): 115 [copy,114,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 17.87/18.03 ** KEPT (pick-wt=9): 116 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 17.87/18.03 ** KEPT (pick-wt=5): 117 [] -empty(A)|A=empty_set.
% 17.87/18.03 ** KEPT (pick-wt=5): 118 [] -in(A,B)| -empty(B).
% 17.87/18.03 ** KEPT (pick-wt=7): 119 [] -empty(A)|A=B| -empty(B).
% 17.87/18.03 72 back subsumes 34.
% 17.87/18.03 73 back subsumes 35.
% 17.87/18.03
% 17.87/18.03 ------------> process sos:
% 17.87/18.03 ** KEPT (pick-wt=3): 171 [] A=A.
% 17.87/18.03 ** KEPT (pick-wt=7): 172 [] unordered_pair(A,B)=unordered_pair(B,A).
% 17.87/18.03 ** KEPT (pick-wt=7): 173 [] set_union2(A,B)=set_union2(B,A).
% 17.87/18.03 ** KEPT (pick-wt=10): 175 [copy,174,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 17.87/18.03 ---> New Demodulator: 176 [new_demod,175] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 17.87/18.03 ** KEPT (pick-wt=4): 177 [] element($f10(A),A).
% 17.87/18.03 ** KEPT (pick-wt=2): 178 [] empty(empty_set).
% 17.87/18.03 ** KEPT (pick-wt=5): 179 [] set_union2(A,A)=A.
% 17.87/18.03 ---> New Demodulator: 180 [new_demod,179] set_union2(A,A)=A.
% 17.87/18.03 ** KEPT (pick-wt=2): 181 [] relation($c1).
% 17.87/18.03 ** KEPT (pick-wt=2): 182 [] function($c1).
% 17.87/18.03 ** KEPT (pick-wt=2): 183 [] empty($c2).
% 17.87/18.03 ** KEPT (pick-wt=2): 184 [] relation($c3).
% 17.87/18.03 ** KEPT (pick-wt=2): 185 [] empty($c3).
% 17.87/18.03 ** KEPT (pick-wt=2): 186 [] function($c3).
% 17.87/18.03 ** KEPT (pick-wt=2): 187 [] relation($c5).
% 17.87/18.03 ** KEPT (pick-wt=2): 188 [] function($c5).
% 17.87/18.03 ** KEPT (pick-wt=2): 189 [] one_to_one($c5).
% 17.87/18.03 ** KEPT (pick-wt=3): 190 [] subset(A,A).
% 17.87/18.03 ** KEPT (pick-wt=5): 191 [] set_union2(A,empty_set)=A.
% 17.87/18.03 ---> New Demodulator: 192 [new_demod,191] set_union2(A,empty_set)=A.
% 17.87/18.03 ** KEPT (pick-wt=8): 193 [] disjoint(A,B)|in($f19(A,B),A).
% 17.87/18.03 ** KEPT (pick-wt=8): 194 [] disjoint(A,B)|in($f19(A,B),B).
% 17.87/18.03 ** KEPT (pick-wt=2): 195 [] relation($c8).
% 17.87/18.03 ** KEPT (pick-wt=2): 196 [] relation($c7).
% 17.87/18.03 ** KEPT (pick-wt=2): 197 [] relation($c6).
% 17.87/18.03 ** KEPT (pick-wt=2): 198 [] function($c6).
% 17.87/18.03 ** KEPT (pick-wt=4): 199 [] relation_isomorphism($c8,$c7,$c6).
% 17.87/18.03 ** KEPT (pick-wt=10): 200 [] reflexive($c8)|transitive($c8)|connected($c8)|antisymmetric($c8)|well_founded_relation($c8).
% 17.87/18.03 Following clause subsumed by 171 during input processing: 0 [copy,171,flip.1] A=A.
% 17.87/18.03 171 back subsumes 157.
% 17.87/18.03 171 back subsumes 155.
% 17.87/18.03 171 back subsumes 154.
% 17.87/18.03 Following clause subsumed by 172 during input processing: 0 [copy,172,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 17.87/18.03 Following clause subsumed by 173 during input processing: 0 [copy,173,flip.1] set_union2(A,B)=set_union2(B,A).
% 17.87/18.03 >>>> Starting back demodulation with 176.
% 17.87/18.03 >>>> Starting back demodulation with 180.
% 17.87/18.03 >>>> Starting back demodulation with 192.
% 17.87/18.03
% 17.87/18.03 ======= end of input processing =======
% 17.87/18.03
% 17.87/18.03 =========== start of search ===========
% 17.87/18.03
% 17.87/18.03
% 17.87/18.03 Resetting weight limit to 4.
% 17.87/18.03
% 17.87/18.03
% 17.87/18.03 Resetting weight limit to 4.
% 17.87/18.03
% 17.87/18.03 sos_size=281
% 17.87/18.03
% 17.87/18.03 Search stopped because sos empty.
% 17.87/18.03
% 17.87/18.03
% 17.87/18.03 Search stopped because sos empty.
% 17.87/18.03
% 17.87/18.03 ============ end of search ============
% 17.87/18.03
% 17.87/18.03 -------------- statistics -------------
% 17.87/18.03 clauses given 334
% 17.87/18.03 clauses generated 108928
% 17.87/18.03 clauses kept 556
% 17.87/18.03 clauses forward subsumed 238
% 17.87/18.03 clauses back subsumed 12
% 17.87/18.03 Kbytes malloced 5859
% 17.87/18.03
% 17.87/18.03 ----------- times (seconds) -----------
% 17.87/18.03 user CPU time 16.02 (0 hr, 0 min, 16 sec)
% 17.87/18.03 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 17.87/18.03 wall-clock time 17 (0 hr, 0 min, 17 sec)
% 17.87/18.03
% 17.87/18.03 Process 5581 finished Wed Jul 27 07:02:50 2022
% 17.87/18.03 Otter interrupted
% 17.87/18.03 PROOF NOT FOUND
%------------------------------------------------------------------------------