TSTP Solution File: SET332-6 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET332-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:13:24 EDT 2022
% Result : Unknown 3.31s 3.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET332-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n019.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 10:55:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.36/2.58 ----- Otter 3.3f, August 2004 -----
% 2.36/2.58 The process was started by sandbox2 on n019.cluster.edu,
% 2.36/2.58 Wed Jul 27 10:55:22 2022
% 2.36/2.58 The command was "./otter". The process ID is 2318.
% 2.36/2.58
% 2.36/2.58 set(prolog_style_variables).
% 2.36/2.58 set(auto).
% 2.36/2.58 dependent: set(auto1).
% 2.36/2.58 dependent: set(process_input).
% 2.36/2.58 dependent: clear(print_kept).
% 2.36/2.58 dependent: clear(print_new_demod).
% 2.36/2.58 dependent: clear(print_back_demod).
% 2.36/2.58 dependent: clear(print_back_sub).
% 2.36/2.58 dependent: set(control_memory).
% 2.36/2.58 dependent: assign(max_mem, 12000).
% 2.36/2.58 dependent: assign(pick_given_ratio, 4).
% 2.36/2.58 dependent: assign(stats_level, 1).
% 2.36/2.58 dependent: assign(max_seconds, 10800).
% 2.36/2.58 clear(print_given).
% 2.36/2.58
% 2.36/2.58 list(usable).
% 2.36/2.58 0 [] A=A.
% 2.36/2.58 0 [] -subclass(X,Y)| -member(U,X)|member(U,Y).
% 2.36/2.58 0 [] member(not_subclass_element(X,Y),X)|subclass(X,Y).
% 2.36/2.58 0 [] -member(not_subclass_element(X,Y),Y)|subclass(X,Y).
% 2.36/2.58 0 [] subclass(X,universal_class).
% 2.36/2.58 0 [] X!=Y|subclass(X,Y).
% 2.36/2.58 0 [] X!=Y|subclass(Y,X).
% 2.36/2.58 0 [] -subclass(X,Y)| -subclass(Y,X)|X=Y.
% 2.36/2.58 0 [] -member(U,unordered_pair(X,Y))|U=X|U=Y.
% 2.36/2.58 0 [] -member(X,universal_class)|member(X,unordered_pair(X,Y)).
% 2.36/2.58 0 [] -member(Y,universal_class)|member(Y,unordered_pair(X,Y)).
% 2.36/2.58 0 [] member(unordered_pair(X,Y),universal_class).
% 2.36/2.58 0 [] unordered_pair(X,X)=singleton(X).
% 2.36/2.58 0 [] unordered_pair(singleton(X),unordered_pair(X,singleton(Y)))=ordered_pair(X,Y).
% 2.36/2.58 0 [] -member(ordered_pair(U,V),cross_product(X,Y))|member(U,X).
% 2.36/2.58 0 [] -member(ordered_pair(U,V),cross_product(X,Y))|member(V,Y).
% 2.36/2.58 0 [] -member(U,X)| -member(V,Y)|member(ordered_pair(U,V),cross_product(X,Y)).
% 2.36/2.58 0 [] -member(Z,cross_product(X,Y))|ordered_pair(first(Z),second(Z))=Z.
% 2.36/2.58 0 [] subclass(element_relation,cross_product(universal_class,universal_class)).
% 2.36/2.58 0 [] -member(ordered_pair(X,Y),element_relation)|member(X,Y).
% 2.36/2.58 0 [] -member(ordered_pair(X,Y),cross_product(universal_class,universal_class))| -member(X,Y)|member(ordered_pair(X,Y),element_relation).
% 2.36/2.58 0 [] -member(Z,intersection(X,Y))|member(Z,X).
% 2.36/2.58 0 [] -member(Z,intersection(X,Y))|member(Z,Y).
% 2.36/2.58 0 [] -member(Z,X)| -member(Z,Y)|member(Z,intersection(X,Y)).
% 2.36/2.58 0 [] -member(Z,complement(X))| -member(Z,X).
% 2.36/2.58 0 [] -member(Z,universal_class)|member(Z,complement(X))|member(Z,X).
% 2.36/2.58 0 [] complement(intersection(complement(X),complement(Y)))=union(X,Y).
% 2.36/2.58 0 [] intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y))))=symmetric_difference(X,Y).
% 2.36/2.58 0 [] intersection(Xr,cross_product(X,Y))=restrict(Xr,X,Y).
% 2.36/2.58 0 [] intersection(cross_product(X,Y),Xr)=restrict(Xr,X,Y).
% 2.36/2.58 0 [] restrict(X,singleton(Z),universal_class)!=null_class| -member(Z,domain_of(X)).
% 2.36/2.58 0 [] -member(Z,universal_class)|restrict(X,singleton(Z),universal_class)=null_class|member(Z,domain_of(X)).
% 2.36/2.58 0 [] subclass(rotate(X),cross_product(cross_product(universal_class,universal_class),universal_class)).
% 2.36/2.58 0 [] -member(ordered_pair(ordered_pair(U,V),W),rotate(X))|member(ordered_pair(ordered_pair(V,W),U),X).
% 2.36/2.58 0 [] -member(ordered_pair(ordered_pair(V,W),U),X)| -member(ordered_pair(ordered_pair(U,V),W),cross_product(cross_product(universal_class,universal_class),universal_class))|member(ordered_pair(ordered_pair(U,V),W),rotate(X)).
% 2.36/2.58 0 [] subclass(flip(X),cross_product(cross_product(universal_class,universal_class),universal_class)).
% 2.36/2.58 0 [] -member(ordered_pair(ordered_pair(U,V),W),flip(X))|member(ordered_pair(ordered_pair(V,U),W),X).
% 2.36/2.58 0 [] -member(ordered_pair(ordered_pair(V,U),W),X)| -member(ordered_pair(ordered_pair(U,V),W),cross_product(cross_product(universal_class,universal_class),universal_class))|member(ordered_pair(ordered_pair(U,V),W),flip(X)).
% 2.36/2.58 0 [] domain_of(flip(cross_product(Y,universal_class)))=inverse(Y).
% 2.36/2.58 0 [] domain_of(inverse(Z))=range_of(Z).
% 2.36/2.58 0 [] first(not_subclass_element(restrict(Z,X,singleton(Y)),null_class))=domain(Z,X,Y).
% 2.36/2.58 0 [] second(not_subclass_element(restrict(Z,singleton(X),Y),null_class))=range(Z,X,Y).
% 2.36/2.58 0 [] range_of(restrict(Xr,X,universal_class))=image(Xr,X).
% 2.36/2.58 0 [] union(X,singleton(X))=successor(X).
% 2.36/2.58 0 [] subclass(successor_relation,cross_product(universal_class,universal_class)).
% 2.36/2.58 0 [] -member(ordered_pair(X,Y),successor_relation)|successor(X)=Y.
% 2.36/2.58 0 [] successor(X)!=Y| -member(ordered_pair(X,Y),cross_product(universal_class,universal_class))|member(ordered_pair(X,Y),successor_relation).
% 2.36/2.58 0 [] -inductive(X)|member(null_class,X).
% 2.36/2.58 0 [] -inductive(X)|subclass(image(successor_relation,X),X).
% 2.36/2.58 0 [] -member(null_class,X)| -subclass(image(successor_relation,X),X)|inductive(X).
% 2.36/2.58 0 [] inductive(omega).
% 2.36/2.58 0 [] -inductive(Y)|subclass(omega,Y).
% 2.36/2.58 0 [] member(omega,universal_class).
% 2.36/2.58 0 [] domain_of(restrict(element_relation,universal_class,X))=sum_class(X).
% 2.36/2.58 0 [] -member(X,universal_class)|member(sum_class(X),universal_class).
% 2.36/2.58 0 [] complement(image(element_relation,complement(X)))=power_class(X).
% 2.36/2.58 0 [] -member(U,universal_class)|member(power_class(U),universal_class).
% 2.36/2.58 0 [] subclass(compose(Yr,Xr),cross_product(universal_class,universal_class)).
% 2.36/2.58 0 [] -member(ordered_pair(Y,Z),compose(Yr,Xr))|member(Z,image(Yr,image(Xr,singleton(Y)))).
% 2.36/2.58 0 [] -member(Z,image(Yr,image(Xr,singleton(Y))))| -member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))|member(ordered_pair(Y,Z),compose(Yr,Xr)).
% 2.36/2.58 0 [] -single_valued_class(X)|subclass(compose(X,inverse(X)),identity_relation).
% 2.36/2.58 0 [] -subclass(compose(X,inverse(X)),identity_relation)|single_valued_class(X).
% 2.36/2.58 0 [] -function(Xf)|subclass(Xf,cross_product(universal_class,universal_class)).
% 2.36/2.58 0 [] -function(Xf)|subclass(compose(Xf,inverse(Xf)),identity_relation).
% 2.36/2.58 0 [] -subclass(Xf,cross_product(universal_class,universal_class))| -subclass(compose(Xf,inverse(Xf)),identity_relation)|function(Xf).
% 2.36/2.58 0 [] -function(Xf)| -member(X,universal_class)|member(image(Xf,X),universal_class).
% 2.36/2.58 0 [] X=null_class|member(regular(X),X).
% 2.36/2.58 0 [] X=null_class|intersection(X,regular(X))=null_class.
% 2.36/2.58 0 [] sum_class(image(Xf,singleton(Y)))=apply(Xf,Y).
% 2.36/2.58 0 [] function(choice).
% 2.36/2.58 0 [] -member(Y,universal_class)|Y=null_class|member(apply(choice,Y),Y).
% 2.36/2.58 0 [] -one_to_one(Xf)|function(Xf).
% 2.36/2.58 0 [] -one_to_one(Xf)|function(inverse(Xf)).
% 2.36/2.58 0 [] -function(inverse(Xf))| -function(Xf)|one_to_one(Xf).
% 2.36/2.58 0 [] intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))=subset_relation.
% 2.36/2.58 0 [] intersection(inverse(subset_relation),subset_relation)=identity_relation.
% 2.36/2.58 0 [] complement(domain_of(intersection(Xr,identity_relation)))=diagonalise(Xr).
% 2.36/2.58 0 [] intersection(domain_of(X),diagonalise(compose(inverse(element_relation),X)))=cantor(X).
% 2.36/2.58 0 [] -operation(Xf)|function(Xf).
% 2.36/2.58 0 [] -operation(Xf)|cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf)))=domain_of(Xf).
% 2.36/2.58 0 [] -operation(Xf)|subclass(range_of(Xf),domain_of(domain_of(Xf))).
% 2.36/2.58 0 [] -function(Xf)|cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf)))!=domain_of(Xf)| -subclass(range_of(Xf),domain_of(domain_of(Xf)))|operation(Xf).
% 2.36/2.58 0 [] -compatible(Xh,Xf1,Xf2)|function(Xh).
% 2.36/2.58 0 [] -compatible(Xh,Xf1,Xf2)|domain_of(domain_of(Xf1))=domain_of(Xh).
% 2.36/2.58 0 [] -compatible(Xh,Xf1,Xf2)|subclass(range_of(Xh),domain_of(domain_of(Xf2))).
% 2.36/2.58 0 [] -function(Xh)|domain_of(domain_of(Xf1))!=domain_of(Xh)| -subclass(range_of(Xh),domain_of(domain_of(Xf2)))|compatible(Xh,Xf1,Xf2).
% 2.36/2.58 0 [] -homomorphism(Xh,Xf1,Xf2)|operation(Xf1).
% 2.36/2.58 0 [] -homomorphism(Xh,Xf1,Xf2)|operation(Xf2).
% 2.36/2.58 0 [] -homomorphism(Xh,Xf1,Xf2)|compatible(Xh,Xf1,Xf2).
% 2.36/2.58 0 [] -homomorphism(Xh,Xf1,Xf2)| -member(ordered_pair(X,Y),domain_of(Xf1))|apply(Xf2,ordered_pair(apply(Xh,X),apply(Xh,Y)))=apply(Xh,apply(Xf1,ordered_pair(X,Y))).
% 2.36/2.58 0 [] -operation(Xf1)| -operation(Xf2)| -compatible(Xh,Xf1,Xf2)|member(ordered_pair(not_homomorphism1(Xh,Xf1,Xf2),not_homomorphism2(Xh,Xf1,Xf2)),domain_of(Xf1))|homomorphism(Xh,Xf1,Xf2).
% 2.36/2.58 0 [] -operation(Xf1)| -operation(Xf2)| -compatible(Xh,Xf1,Xf2)|apply(Xf2,ordered_pair(apply(Xh,not_homomorphism1(Xh,Xf1,Xf2)),apply(Xh,not_homomorphism2(Xh,Xf1,Xf2))))!=apply(Xh,apply(Xf1,ordered_pair(not_homomorphism1(Xh,Xf1,Xf2),not_homomorphism2(Xh,Xf1,Xf2))))|homomorphism(Xh,Xf1,Xf2).
% 2.36/2.58 0 [] subclass(compose_class(X),cross_product(universal_class,universal_class)).
% 2.36/2.58 0 [] -member(ordered_pair(Y,Z),compose_class(X))|compose(X,Y)=Z.
% 2.36/2.58 0 [] -member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))|compose(X,Y)!=Z|member(ordered_pair(Y,Z),compose_class(X)).
% 2.36/2.59 0 [] subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))).
% 2.36/2.59 0 [] -member(ordered_pair(X,ordered_pair(Y,Z)),composition_function)|compose(X,Y)=Z.
% 2.36/2.59 0 [] -member(ordered_pair(X,Y),cross_product(universal_class,universal_class))|member(ordered_pair(X,ordered_pair(Y,compose(X,Y))),composition_function).
% 2.36/2.59 0 [] subclass(domain_relation,cross_product(universal_class,universal_class)).
% 2.36/2.59 0 [] -member(ordered_pair(X,Y),domain_relation)|domain_of(X)=Y.
% 2.36/2.59 0 [] -member(X,universal_class)|member(ordered_pair(X,domain_of(X)),domain_relation).
% 2.36/2.59 0 [] first(not_subclass_element(compose(X,inverse(X)),identity_relation))=single_valued1(X).
% 2.36/2.59 0 [] second(not_subclass_element(compose(X,inverse(X)),identity_relation))=single_valued2(X).
% 2.36/2.59 0 [] domain(X,image(inverse(X),singleton(single_valued1(X))),single_valued2(X))=single_valued3(X).
% 2.36/2.59 0 [] intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation.
% 2.36/2.59 0 [] subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))).
% 2.36/2.59 0 [] -member(ordered_pair(X,ordered_pair(Y,Z)),application_function)|member(Y,domain_of(X)).
% 2.36/2.59 0 [] -member(ordered_pair(X,ordered_pair(Y,Z)),application_function)|apply(X,Y)=Z.
% 2.36/2.59 0 [] -member(ordered_pair(X,ordered_pair(Y,Z)),cross_product(universal_class,cross_product(universal_class,universal_class)))| -member(Y,domain_of(X))|member(ordered_pair(X,ordered_pair(Y,apply(X,Y))),application_function).
% 2.36/2.59 0 [] -maps(Xf,X,Y)|function(Xf).
% 2.36/2.59 0 [] -maps(Xf,X,Y)|domain_of(Xf)=X.
% 2.36/2.59 0 [] -maps(Xf,X,Y)|subclass(range_of(Xf),Y).
% 2.36/2.59 0 [] -function(Xf)| -subclass(range_of(Xf),Y)|maps(Xf,domain_of(Xf),Y).
% 2.36/2.59 0 [] image(xr,universal_class)!=range_of(xr).
% 2.36/2.59 end_of_list.
% 2.36/2.59
% 2.36/2.59 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.36/2.59
% 2.36/2.59 This ia a non-Horn set with equality. The strategy will be
% 2.36/2.59 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.36/2.59 deletion, with positive clauses in sos and nonpositive
% 2.36/2.59 clauses in usable.
% 2.36/2.59
% 2.36/2.59 dependent: set(knuth_bendix).
% 2.36/2.59 dependent: set(anl_eq).
% 2.36/2.59 dependent: set(para_from).
% 2.36/2.59 dependent: set(para_into).
% 2.36/2.59 dependent: clear(para_from_right).
% 2.36/2.59 dependent: clear(para_into_right).
% 2.36/2.59 dependent: set(para_from_vars).
% 2.36/2.59 dependent: set(eq_units_both_ways).
% 2.36/2.59 dependent: set(dynamic_demod_all).
% 2.36/2.59 dependent: set(dynamic_demod).
% 2.36/2.59 dependent: set(order_eq).
% 2.36/2.59 dependent: set(back_demod).
% 2.36/2.59 dependent: set(lrpo).
% 2.36/2.59 dependent: set(hyper_res).
% 2.36/2.59 dependent: set(unit_deletion).
% 2.36/2.59 dependent: set(factor).
% 2.36/2.59
% 2.36/2.59 ------------> process usable:
% 2.36/2.59 ** KEPT (pick-wt=9): 1 [] -subclass(A,B)| -member(C,A)|member(C,B).
% 2.36/2.59 ** KEPT (pick-wt=8): 2 [] -member(not_subclass_element(A,B),B)|subclass(A,B).
% 2.36/2.59 ** KEPT (pick-wt=6): 3 [] A!=B|subclass(A,B).
% 2.36/2.59 ** KEPT (pick-wt=6): 4 [] A!=B|subclass(B,A).
% 2.36/2.59 ** KEPT (pick-wt=9): 5 [] -subclass(A,B)| -subclass(B,A)|A=B.
% 2.36/2.59 ** KEPT (pick-wt=11): 6 [] -member(A,unordered_pair(B,C))|A=B|A=C.
% 2.36/2.59 ** KEPT (pick-wt=8): 7 [] -member(A,universal_class)|member(A,unordered_pair(A,B)).
% 2.36/2.59 ** KEPT (pick-wt=8): 8 [] -member(A,universal_class)|member(A,unordered_pair(B,A)).
% 2.36/2.59 ** KEPT (pick-wt=10): 9 [] -member(ordered_pair(A,B),cross_product(C,D))|member(A,C).
% 2.36/2.59 ** KEPT (pick-wt=10): 10 [] -member(ordered_pair(A,B),cross_product(C,D))|member(B,D).
% 2.36/2.59 ** KEPT (pick-wt=13): 11 [] -member(A,B)| -member(C,D)|member(ordered_pair(A,C),cross_product(B,D)).
% 2.36/2.59 ** KEPT (pick-wt=12): 12 [] -member(A,cross_product(B,C))|ordered_pair(first(A),second(A))=A.
% 2.36/2.59 ** KEPT (pick-wt=8): 13 [] -member(ordered_pair(A,B),element_relation)|member(A,B).
% 2.36/2.59 ** KEPT (pick-wt=15): 14 [] -member(ordered_pair(A,B),cross_product(universal_class,universal_class))| -member(A,B)|member(ordered_pair(A,B),element_relation).
% 2.36/2.59 ** KEPT (pick-wt=8): 15 [] -member(A,intersection(B,C))|member(A,B).
% 2.36/2.59 ** KEPT (pick-wt=8): 16 [] -member(A,intersection(B,C))|member(A,C).
% 2.36/2.59 ** KEPT (pick-wt=11): 17 [] -member(A,B)| -member(A,C)|member(A,intersection(B,C)).
% 2.36/2.59 ** KEPT (pick-wt=7): 18 [] -member(A,complement(B))| -member(A,B).
% 2.36/2.59 ** KEPT (pick-wt=10): 19 [] -member(A,universal_class)|member(A,complement(B))|member(A,B).
% 2.36/2.59 ** KEPT (pick-wt=11): 20 [] restrict(A,singleton(B),universal_class)!=null_class| -member(B,domain_of(A)).
% 2.36/2.59 ** KEPT (pick-wt=14): 21 [] -member(A,universal_class)|restrict(B,singleton(A),universal_class)=null_class|member(A,domain_of(B)).
% 2.36/2.59 ** KEPT (pick-wt=15): 22 [] -member(ordered_pair(ordered_pair(A,B),C),rotate(D))|member(ordered_pair(ordered_pair(B,C),A),D).
% 2.36/2.59 ** KEPT (pick-wt=26): 23 [] -member(ordered_pair(ordered_pair(A,B),C),D)| -member(ordered_pair(ordered_pair(C,A),B),cross_product(cross_product(universal_class,universal_class),universal_class))|member(ordered_pair(ordered_pair(C,A),B),rotate(D)).
% 2.36/2.59 ** KEPT (pick-wt=15): 24 [] -member(ordered_pair(ordered_pair(A,B),C),flip(D))|member(ordered_pair(ordered_pair(B,A),C),D).
% 2.36/2.59 ** KEPT (pick-wt=26): 25 [] -member(ordered_pair(ordered_pair(A,B),C),D)| -member(ordered_pair(ordered_pair(B,A),C),cross_product(cross_product(universal_class,universal_class),universal_class))|member(ordered_pair(ordered_pair(B,A),C),flip(D)).
% 2.36/2.59 ** KEPT (pick-wt=9): 26 [] -member(ordered_pair(A,B),successor_relation)|successor(A)=B.
% 2.36/2.59 ** KEPT (pick-wt=16): 27 [] successor(A)!=B| -member(ordered_pair(A,B),cross_product(universal_class,universal_class))|member(ordered_pair(A,B),successor_relation).
% 2.36/2.59 ** KEPT (pick-wt=5): 28 [] -inductive(A)|member(null_class,A).
% 2.36/2.59 ** KEPT (pick-wt=7): 29 [] -inductive(A)|subclass(image(successor_relation,A),A).
% 2.36/2.59 ** KEPT (pick-wt=10): 30 [] -member(null_class,A)| -subclass(image(successor_relation,A),A)|inductive(A).
% 2.36/2.59 ** KEPT (pick-wt=5): 31 [] -inductive(A)|subclass(omega,A).
% 2.36/2.59 ** KEPT (pick-wt=7): 32 [] -member(A,universal_class)|member(sum_class(A),universal_class).
% 2.36/2.59 ** KEPT (pick-wt=7): 33 [] -member(A,universal_class)|member(power_class(A),universal_class).
% 2.36/2.59 ** KEPT (pick-wt=15): 34 [] -member(ordered_pair(A,B),compose(C,D))|member(B,image(C,image(D,singleton(A)))).
% 2.36/2.59 ** KEPT (pick-wt=22): 35 [] -member(A,image(B,image(C,singleton(D))))| -member(ordered_pair(D,A),cross_product(universal_class,universal_class))|member(ordered_pair(D,A),compose(B,C)).
% 2.36/2.59 ** KEPT (pick-wt=8): 36 [] -single_valued_class(A)|subclass(compose(A,inverse(A)),identity_relation).
% 2.36/2.59 ** KEPT (pick-wt=8): 37 [] -subclass(compose(A,inverse(A)),identity_relation)|single_valued_class(A).
% 2.36/2.59 ** KEPT (pick-wt=7): 38 [] -function(A)|subclass(A,cross_product(universal_class,universal_class)).
% 2.36/2.59 ** KEPT (pick-wt=8): 39 [] -function(A)|subclass(compose(A,inverse(A)),identity_relation).
% 2.36/2.59 ** KEPT (pick-wt=13): 40 [] -subclass(A,cross_product(universal_class,universal_class))| -subclass(compose(A,inverse(A)),identity_relation)|function(A).
% 2.36/2.59 ** KEPT (pick-wt=10): 41 [] -function(A)| -member(B,universal_class)|member(image(A,B),universal_class).
% 2.36/2.59 ** KEPT (pick-wt=11): 42 [] -member(A,universal_class)|A=null_class|member(apply(choice,A),A).
% 2.36/2.59 ** KEPT (pick-wt=4): 43 [] -one_to_one(A)|function(A).
% 2.36/2.59 ** KEPT (pick-wt=5): 44 [] -one_to_one(A)|function(inverse(A)).
% 2.36/2.59 ** KEPT (pick-wt=7): 45 [] -function(inverse(A))| -function(A)|one_to_one(A).
% 2.36/2.59 ** KEPT (pick-wt=4): 46 [] -operation(A)|function(A).
% 2.36/2.59 ** KEPT (pick-wt=12): 47 [] -operation(A)|cross_product(domain_of(domain_of(A)),domain_of(domain_of(A)))=domain_of(A).
% 2.36/2.59 ** KEPT (pick-wt=8): 48 [] -operation(A)|subclass(range_of(A),domain_of(domain_of(A))).
% 2.36/2.59 ** KEPT (pick-wt=20): 49 [] -function(A)|cross_product(domain_of(domain_of(A)),domain_of(domain_of(A)))!=domain_of(A)| -subclass(range_of(A),domain_of(domain_of(A)))|operation(A).
% 2.36/2.59 ** KEPT (pick-wt=6): 50 [] -compatible(A,B,C)|function(A).
% 2.36/2.59 ** KEPT (pick-wt=10): 51 [] -compatible(A,B,C)|domain_of(domain_of(B))=domain_of(A).
% 2.36/2.59 ** KEPT (pick-wt=10): 52 [] -compatible(A,B,C)|subclass(range_of(A),domain_of(domain_of(C))).
% 2.36/2.59 ** KEPT (pick-wt=18): 53 [] -function(A)|domain_of(domain_of(B))!=domain_of(A)| -subclass(range_of(A),domain_of(domain_of(C)))|compatible(A,B,C).
% 2.36/2.59 ** KEPT (pick-wt=6): 54 [] -homomorphism(A,B,C)|operation(B).
% 2.36/2.59 ** KEPT (pick-wt=6): 55 [] -homomorphism(A,B,C)|operation(C).
% 2.36/2.59 ** KEPT (pick-wt=8): 56 [] -homomorphism(A,B,C)|compatible(A,B,C).
% 2.36/2.59 ** KEPT (pick-wt=27): 57 [] -homomorphism(A,B,C)| -member(ordered_pair(D,E),domain_of(B))|apply(C,ordered_pair(apply(A,D),apply(A,E)))=apply(A,apply(B,ordered_pair(D,E))).
% 2.36/2.59 ** KEPT (pick-wt=24): 58 [] -operation(A)| -operation(B)| -compatible(C,A,B)|member(ordered_pair(not_homomorphism1(C,A,B),not_homomorphism2(C,A,B)),domain_of(A))|homomorphism(C,A,B).
% 2.36/2.59 ** KEPT (pick-wt=41): 59 [] -operation(A)| -operation(B)| -compatible(C,A,B)|apply(B,ordered_pair(apply(C,not_homomorphism1(C,A,B)),apply(C,not_homomorphism2(C,A,B))))!=apply(C,apply(A,ordered_pair(not_homomorphism1(C,A,B),not_homomorphism2(C,A,B))))|homomorphism(C,A,B).
% 2.36/2.59 ** KEPT (pick-wt=11): 60 [] -member(ordered_pair(A,B),compose_class(C))|compose(C,A)=B.
% 2.36/2.59 ** KEPT (pick-wt=18): 61 [] -member(ordered_pair(A,B),cross_product(universal_class,universal_class))|compose(C,A)!=B|member(ordered_pair(A,B),compose_class(C)).
% 2.36/2.59 ** KEPT (pick-wt=12): 62 [] -member(ordered_pair(A,ordered_pair(B,C)),composition_function)|compose(A,B)=C.
% 2.36/2.59 ** KEPT (pick-wt=16): 63 [] -member(ordered_pair(A,B),cross_product(universal_class,universal_class))|member(ordered_pair(A,ordered_pair(B,compose(A,B))),composition_function).
% 2.36/2.59 ** KEPT (pick-wt=9): 64 [] -member(ordered_pair(A,B),domain_relation)|domain_of(A)=B.
% 2.36/2.59 ** KEPT (pick-wt=9): 65 [] -member(A,universal_class)|member(ordered_pair(A,domain_of(A)),domain_relation).
% 2.36/2.59 ** KEPT (pick-wt=11): 66 [] -member(ordered_pair(A,ordered_pair(B,C)),application_function)|member(B,domain_of(A)).
% 2.36/2.59 ** KEPT (pick-wt=12): 67 [] -member(ordered_pair(A,ordered_pair(B,C)),application_function)|apply(A,B)=C.
% 2.36/2.59 ** KEPT (pick-wt=24): 68 [] -member(ordered_pair(A,ordered_pair(B,C)),cross_product(universal_class,cross_product(universal_class,universal_class)))| -member(B,domain_of(A))|member(ordered_pair(A,ordered_pair(B,apply(A,B))),application_function).
% 2.36/2.59 ** KEPT (pick-wt=6): 69 [] -maps(A,B,C)|function(A).
% 2.36/2.59 ** KEPT (pick-wt=8): 70 [] -maps(A,B,C)|domain_of(A)=B.
% 2.36/2.59 ** KEPT (pick-wt=8): 71 [] -maps(A,B,C)|subclass(range_of(A),C).
% 2.36/2.59 ** KEPT (pick-wt=11): 72 [] -function(A)| -subclass(range_of(A),B)|maps(A,domain_of(A),B).
% 2.36/2.59 ** KEPT (pick-wt=6): 74 [copy,73,flip.1] range_of(xr)!=image(xr,universal_class).
% 2.36/2.59
% 2.36/2.59 ------------> process sos:
% 2.36/2.59 ** KEPT (pick-wt=3): 83 [] A=A.
% 2.36/2.59 ** KEPT (pick-wt=8): 84 [] member(not_subclass_element(A,B),A)|subclass(A,B).
% 2.36/2.59 ** KEPT (pick-wt=3): 85 [] subclass(A,universal_class).
% 2.36/2.59 ** KEPT (pick-wt=5): 86 [] member(unordered_pair(A,B),universal_class).
% 2.36/2.59 ** KEPT (pick-wt=6): 88 [copy,87,flip.1] singleton(A)=unordered_pair(A,A).
% 2.36/2.59 ---> New Demodulator: 89 [new_demod,88] singleton(A)=unordered_pair(A,A).
% 2.36/2.59 ** KEPT (pick-wt=13): 91 [copy,90,demod,89,89] unordered_pair(unordered_pair(A,A),unordered_pair(A,unordered_pair(B,B)))=ordered_pair(A,B).
% 2.36/2.59 ---> New Demodulator: 92 [new_demod,91] unordered_pair(unordered_pair(A,A),unordered_pair(A,unordered_pair(B,B)))=ordered_pair(A,B).
% 2.36/2.59 ** KEPT (pick-wt=5): 93 [] subclass(element_relation,cross_product(universal_class,universal_class)).
% 2.36/2.59 ** KEPT (pick-wt=10): 94 [] complement(intersection(complement(A),complement(B)))=union(A,B).
% 2.36/2.59 ---> New Demodulator: 95 [new_demod,94] complement(intersection(complement(A),complement(B)))=union(A,B).
% 2.36/2.59 ** KEPT (pick-wt=12): 97 [copy,96,demod,95] intersection(complement(intersection(A,B)),union(A,B))=symmetric_difference(A,B).
% 2.36/2.59 ---> New Demodulator: 98 [new_demod,97] intersection(complement(intersection(A,B)),union(A,B))=symmetric_difference(A,B).
% 2.36/2.59 ** KEPT (pick-wt=10): 99 [] intersection(A,cross_product(B,C))=restrict(A,B,C).
% 2.36/2.59 ---> New Demodulator: 100 [new_demod,99] intersection(A,cross_product(B,C))=restrict(A,B,C).
% 2.36/2.59 ** KEPT (pick-wt=10): 101 [] intersection(cross_product(A,B),C)=restrict(C,A,B).
% 2.36/2.59 ---> New Demodulator: 102 [new_demod,101] intersection(cross_product(A,B),C)=restrict(C,A,B).
% 2.36/2.59 ** KEPT (pick-wt=8): 103 [] subclass(rotate(A),cross_product(cross_product(universal_class,universal_class),universal_class)).
% 2.36/2.59 ** KEPT (pick-wt=8): 104 [] subclass(flip(A),cross_product(cross_product(universal_class,universal_class),universal_class)).
% 2.36/2.59 ** KEPT (pick-wt=8): 106 [copy,105,flip.1] inverse(A)=domain_of(flip(cross_product(A,universal_class))).
% 2.36/2.59 ---> New Demodulator: 107 [new_demod,106] inverse(A)=domain_of(flip(cross_product(A,universal_class))).
% 2.36/2.59 ** KEPT (pick-wt=9): 109 [copy,108,demod,107,flip.1] range_of(A)=domain_of(domain_of(flip(cross_product(A,universal_class)))).
% 2.36/2.59 ---> New Demodulator: 110 [new_demod,109] range_of(A)=domain_of(domain_of(flip(cross_product(A,universal_class)))).
% 2.36/2.59 ** KEPT (pick-wt=14): 112 [copy,111,demod,89] first(not_subclass_element(restrict(A,B,unordered_pair(C,C)),null_class))=domain(A,B,C).
% 2.36/2.59 ---> New Demodulator: 113 [new_demod,112] first(not_subclass_element(restrict(A,B,unordered_pair(C,C)),null_class))=domain(A,B,C).
% 2.36/2.59 ** KEPT (pick-wt=14): 115 [copy,114,demod,89] second(not_subclass_element(restrict(A,unordered_pair(B,B),C),null_class))=range(A,B,C).
% 2.36/2.59 ---> New Demodulator: 116 [new_demod,115] second(not_subclass_element(restrict(A,unordered_pair(B,B),C),null_class))=range(A,B,C).
% 2.36/2.59 ** KEPT (pick-wt=13): 118 [copy,117,demod,110] domain_of(domain_of(flip(cross_product(restrict(A,B,universal_class),universal_class))))=image(A,B).
% 2.36/2.59 ---> New Demodulator: 119 [new_demod,118] domain_of(domain_of(flip(cross_product(restrict(A,B,universal_class),universal_class))))=image(A,B).
% 2.36/2.59 ** KEPT (pick-wt=8): 121 [copy,120,demod,89,flip.1] successor(A)=union(A,unordered_pair(A,A)).
% 2.36/2.59 ---> New Demodulator: 122 [new_demod,121] successor(A)=union(A,unordered_pair(A,A)).
% 2.36/2.59 ** KEPT (pick-wt=5): 123 [] subclass(successor_relation,cross_product(universal_class,universal_class)).
% 2.36/2.59 ** KEPT (pick-wt=2): 124 [] inductive(omega).
% 2.36/2.59 ** KEPT (pick-wt=3): 125 [] member(omega,universal_class).
% 2.36/2.59 ** KEPT (pick-wt=8): 127 [copy,126,flip.1] sum_class(A)=domain_of(restrict(element_relation,universal_class,A)).
% 2.36/2.59 ---> New Demodulator: 128 [new_demod,127] sum_class(A)=domain_of(restrict(element_relation,universal_class,A)).
% 2.36/2.59 ** KEPT (pick-wt=8): 130 [copy,129,flip.1] power_class(A)=complement(image(element_relation,complement(A))).
% 2.36/2.59 ---> New Demodulator: 131 [new_demod,130] power_class(A)=complement(image(element_relation,complement(A))).
% 2.36/2.59 ** KEPT (pick-wt=7): 132 [] subclass(compose(A,B),cross_product(universal_class,universal_class)).
% 2.36/2.59 ** KEPT (pick-wt=7): 133 [] A=null_class|member(regular(A),A).
% 2.36/2.59 ** KEPT (pick-wt=9): 134 [] A=null_class|intersection(A,regular(A))=null_class.
% 2.36/2.59 ** KEPT (pick-wt=13): 136 [copy,135,demod,89,128] domain_of(restrict(element_relation,universal_class,image(A,unordered_pair(B,B))))=apply(A,B).
% 2.36/2.59 ---> New Demodulator: 137 [new_demod,136] domain_of(restrict(element_relation,universal_class,image(A,unordered_pair(B,B))))=apply(A,B).
% 2.36/2.59 ** KEPT (pick-wt=2): 138 [] function(choice).
% 2.36/2.59 ** KEPT (pick-wt=17): 140 [copy,139,demod,107,102,102] restrict(restrict(complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))),universal_class,universal_class),universal_class,universal_class)=subset_relation.
% 2.36/2.59 ---> New Demodulator: 141 [new_demod,140] restrict(restrict(complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))),universal_class,universal_class),universal_class,universal_class)=subset_relation.
% 2.36/2.59 ** KEPT (pick-wt=9): 143 [copy,142,demod,107] intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation.
% 2.36/2.59 ---> New Demodulator: 144 [new_demod,143] intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation.
% 2.36/2.59 ** KEPT (pick-wt=8): 145 [] complement(domain_of(intersection(A,identity_relation)))=diagonalise(A).
% 2.36/2.59 ---> New Demodulator: 146 [new_demod,145] complement(domain_of(intersection(A,identity_relation)))=diagonalise(A).
% 2.36/2.59 ** KEPT (pick-wt=14): 148 [copy,147,demod,107] intersection(domain_of(A),diagonalise(compose(domain_of(flip(cross_product(element_relation,universal_class))),A)))=cantor(A).
% 2.36/2.59 ---> New Demodulator: 149 [new_demod,148] intersection(domain_of(A),diagonalise(compose(domain_of(flip(cross_product(element_relation,universal_class))),A)))=cantor(A).
% 2.36/2.59 ** KEPT (pick-wt=6): 150 [] subclass(compose_class(A),cross_product(universal_class,universal_class)).
% 2.36/2.59 ** KEPT (pick-wt=7): 151 [] subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))).
% 2.36/2.59 ** KEPT (pick-wt=5): 152 [] subclass(domain_relation,cross_product(universal_class,universal_class)).
% 2.36/2.59 ** KEPT (pick-wt=13): 154 [copy,153,demod,107,flip.1] single_valued1(A)=first(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)).
% 2.36/2.59 ---> New Demodulator: 155 [new_demod,154] single_valued1(A)=first(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)).
% 2.36/2.59 ** KEPT (pick-wt=13): 157 [copy,156,demod,107,flip.1] single_valued2(A)=second(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)).
% 2.36/2.59 ---> New Demodulator: 158 [new_demod,157] single_valued2(A)=second(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)).
% 2.36/2.59 ** KEPT (pick-wt=42): 160 [copy,159,demod,107,155,89,158,flip.1] single_valued3(A)=domain(A,image(domain_of(flip(cross_product(A,universal_class))),unordered_pair(first(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)),first(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)))),second(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation))).
% 2.36/2.59 ---> New Demodulator: 161 [new_demod,160] single_valued3(A)=domain(A,image(domain_of(flip(cross_product(A,universal_class))),unordered_pair(first(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)),first(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)))),second(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation))).
% 2.36/2.59 ** KEPT (pick-wt=9): 162 [] intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation.
% 2.36/2.59 ---> New Demodulator: 163 [new_demod,162] intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation.
% 2.36/2.59 ** KEPT (pick-wt=7): 164 [] subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))).
% 2.36/2.59 Following clause subsumed by 83 during input processing: 0 [copy,83,flip.1] A=A.
% 2.36/2.59 83 back subsumes 75.
% 2.36/2.59 >>>> Starting back demodulation with 89.
% 2.36/2.59 >> back demodulating 35 with 89.
% 2.36/2.59 >> back demodulating 34 with 89.
% 2.36/2.59 >> back demodulating 21 with 89.
% 2.36/2.59 >> back demodulating 20 with 89.
% 2.36/2.59 >>>> Starting back demodulation with 92.
% 2.36/2.59 >>>> Starting back demodulation with 95.
% 2.36/2.59 >>>> Starting back demodulation with 98.
% 2.36/2.59 >>>> Starting back demodulation with 100.
% 2.36/2.59 >>>> Starting back demodulation with 102.
% 2.36/2.59 >>>> Starting back demodulation with 107.
% 2.36/2.59 >> back demodulating 45 with 107.
% 2.36/2.59 >> back demodulating 44 with 107.
% 2.36/2.59 >> back demodulating 40 with 107.
% 2.36/2.59 >> back demodulating 39 with 107.
% 2.36/2.59 >> back demodulating 37 with 107.
% 2.36/2.59 >> back demodulating 36 with 107.
% 2.36/2.59 >>>> Starting back demodulation with 110.
% 2.36/2.59 >> back demodulating 74 with 110.
% 2.36/2.59 >> back demodulating 72 with 110.
% 2.36/2.59 >> back demodulating 71 with 110.
% 2.36/2.59 >> back demodulating 53 with 110.
% 2.36/2.59 >> back demodulating 52 with 110.
% 2.36/2.59 >> back demodulating 49 with 110.
% 2.36/2.59 >> back demodulating 48 with 110.
% 2.36/2.59 >>>> Starting back demodulation with 113.
% 2.36/2.59 >>>> Starting back demodulation with 116.
% 2.36/2.59 >>>> Starting back demodulation with 119.
% 2.36/2.59 >>>> Starting back demodulation with 122.
% 2.36/2.59 >> back demodulating 27 with 122.
% 2.36/2.59 >> back demodulating 26 with 122.
% 2.36/2.59 >>>> Starting back demodulation with 128.
% 2.36/2.59 >> back demodulating 32 with 128.
% 2.36/2.59 >>>> Starting back demodulation with 131.
% 2.36/2.59 >> back demodulating 33 with 131.
% 2.36/2.59 >>>> Starting back demodulation with 137.
% 2.36/2.59 >>>> Starting back demodulation with 141.
% 2.36/2.59 >>>> Starting back demodulation with 144.
% 2.36/2.59 >>>> Starting back demodulation with 146.
% 2.36/2.59 >>>> Starting back demodulation with 149.
% 2.36/2.59 >>>> Starting back demodulation with 155.
% 2.36/2.59 >>>> Starting back demodulation with 158.
% 2.36/2.59 >>>> Starting back demodulation with 161.
% 2.36/2.59 >>>> Starting back demodulation with 163.
% 3.31/3.53
% 3.31/3.53 ======= end of input processing =======
% 3.31/3.53
% 3.31/3.53 =========== start of search ===========
% 3.31/3.53
% 3.31/3.53
% 3.31/3.53 Resetting weight limit to 7.
% 3.31/3.53
% 3.31/3.53
% 3.31/3.53 Resetting weight limit to 7.
% 3.31/3.53
% 3.31/3.53 sos_size=393
% 3.31/3.53
% 3.31/3.53 Search stopped because sos empty.
% 3.31/3.53
% 3.31/3.53
% 3.31/3.53 Search stopped because sos empty.
% 3.31/3.53
% 3.31/3.53 ============ end of search ============
% 3.31/3.53
% 3.31/3.53 -------------- statistics -------------
% 3.31/3.53 clauses given 565
% 3.31/3.53 clauses generated 197778
% 3.31/3.53 clauses kept 668
% 3.31/3.53 clauses forward subsumed 1259
% 3.31/3.53 clauses back subsumed 23
% 3.31/3.53 Kbytes malloced 7812
% 3.31/3.53
% 3.31/3.53 ----------- times (seconds) -----------
% 3.31/3.53 user CPU time 0.94 (0 hr, 0 min, 0 sec)
% 3.31/3.53 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.31/3.53 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.31/3.53
% 3.31/3.53 Process 2318 finished Wed Jul 27 10:55:25 2022
% 3.31/3.53 Otter interrupted
% 3.31/3.53 PROOF NOT FOUND
%------------------------------------------------------------------------------