%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM159-1 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n016.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 13:07:42 EDT 2022 % Result : Unknown 3.71s 3.89s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : NUM159-1 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.03/0.12 % Command : otter-tptp-script %s % 0.12/0.33 % Computer : n016.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 10:04:22 EDT 2022 % 0.12/0.33 % CPUTime : % 3.35/3.81 ----- Otter 3.3f, August 2004 ----- % 3.35/3.81 The process was started by sandbox2 on n016.cluster.edu, % 3.35/3.81 Wed Jul 27 10:04:22 2022 % 3.35/3.81 The command was "./otter". The process ID is 32687. % 3.35/3.81 % 3.35/3.81 set(prolog_style_variables). % 3.35/3.81 set(auto). % 3.35/3.81 dependent: set(auto1). % 3.35/3.81 dependent: set(process_input). % 3.35/3.81 dependent: clear(print_kept). % 3.35/3.81 dependent: clear(print_new_demod). % 3.35/3.81 dependent: clear(print_back_demod). % 3.35/3.81 dependent: clear(print_back_sub). % 3.35/3.81 dependent: set(control_memory). % 3.35/3.81 dependent: assign(max_mem, 12000). % 3.35/3.81 dependent: assign(pick_given_ratio, 4). % 3.35/3.81 dependent: assign(stats_level, 1). % 3.35/3.81 dependent: assign(max_seconds, 10800). % 3.35/3.81 clear(print_given). % 3.35/3.81 % 3.35/3.81 list(usable). % 3.35/3.81 0 [] A=A. % 3.35/3.81 0 [] -subclass(X,Y)| -member(U,X)|member(U,Y). % 3.35/3.81 0 [] member(not_subclass_element(X,Y),X)|subclass(X,Y). % 3.35/3.81 0 [] -member(not_subclass_element(X,Y),Y)|subclass(X,Y). % 3.35/3.81 0 [] subclass(X,universal_class). % 3.35/3.81 0 [] X!=Y|subclass(X,Y). % 3.35/3.81 0 [] X!=Y|subclass(Y,X). % 3.35/3.81 0 [] -subclass(X,Y)| -subclass(Y,X)|X=Y. % 3.35/3.81 0 [] -member(U,unordered_pair(X,Y))|U=X|U=Y. % 3.35/3.81 0 [] -member(X,universal_class)|member(X,unordered_pair(X,Y)). % 3.35/3.81 0 [] -member(Y,universal_class)|member(Y,unordered_pair(X,Y)). % 3.35/3.81 0 [] member(unordered_pair(X,Y),universal_class). % 3.35/3.81 0 [] unordered_pair(X,X)=singleton(X). % 3.35/3.81 0 [] unordered_pair(singleton(X),unordered_pair(X,singleton(Y)))=ordered_pair(X,Y). % 3.35/3.81 0 [] -member(ordered_pair(U,V),cross_product(X,Y))|member(U,X). % 3.35/3.81 0 [] -member(ordered_pair(U,V),cross_product(X,Y))|member(V,Y). % 3.35/3.81 0 [] -member(U,X)| -member(V,Y)|member(ordered_pair(U,V),cross_product(X,Y)). % 3.35/3.81 0 [] -member(Z,cross_product(X,Y))|ordered_pair(first(Z),second(Z))=Z. % 3.35/3.81 0 [] subclass(element_relation,cross_product(universal_class,universal_class)). % 3.35/3.81 0 [] -member(ordered_pair(X,Y),element_relation)|member(X,Y). % 3.35/3.81 0 [] -member(ordered_pair(X,Y),cross_product(universal_class,universal_class))| -member(X,Y)|member(ordered_pair(X,Y),element_relation). % 3.35/3.81 0 [] -member(Z,intersection(X,Y))|member(Z,X). % 3.35/3.81 0 [] -member(Z,intersection(X,Y))|member(Z,Y). % 3.35/3.81 0 [] -member(Z,X)| -member(Z,Y)|member(Z,intersection(X,Y)). % 3.35/3.81 0 [] -member(Z,complement(X))| -member(Z,X). % 3.35/3.81 0 [] -member(Z,universal_class)|member(Z,complement(X))|member(Z,X). % 3.35/3.81 0 [] complement(intersection(complement(X),complement(Y)))=union(X,Y). % 3.35/3.81 0 [] intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y))))=symmetric_difference(X,Y). % 3.35/3.81 0 [] intersection(Xr,cross_product(X,Y))=restrict(Xr,X,Y). % 3.35/3.81 0 [] intersection(cross_product(X,Y),Xr)=restrict(Xr,X,Y). % 3.35/3.81 0 [] restrict(X,singleton(Z),universal_class)!=null_class| -member(Z,domain_of(X)). % 3.35/3.81 0 [] -member(Z,universal_class)|restrict(X,singleton(Z),universal_class)=null_class|member(Z,domain_of(X)). % 3.35/3.81 0 [] subclass(rotate(X),cross_product(cross_product(universal_class,universal_class),universal_class)). % 3.35/3.81 0 [] -member(ordered_pair(ordered_pair(U,V),W),rotate(X))|member(ordered_pair(ordered_pair(V,W),U),X). % 3.35/3.81 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)). % 3.35/3.81 0 [] subclass(flip(X),cross_product(cross_product(universal_class,universal_class),universal_class)). % 3.35/3.81 0 [] -member(ordered_pair(ordered_pair(U,V),W),flip(X))|member(ordered_pair(ordered_pair(V,U),W),X). % 3.35/3.81 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)). % 3.35/3.81 0 [] domain_of(flip(cross_product(Y,universal_class)))=inverse(Y). % 3.35/3.81 0 [] domain_of(inverse(Z))=range_of(Z). % 3.35/3.81 0 [] first(not_subclass_element(restrict(Z,X,singleton(Y)),null_class))=domain(Z,X,Y). % 3.35/3.81 0 [] second(not_subclass_element(restrict(Z,singleton(X),Y),null_class))=range(Z,X,Y). % 3.35/3.81 0 [] range_of(restrict(Xr,X,universal_class))=image(Xr,X). % 3.35/3.81 0 [] union(X,singleton(X))=successor(X). % 3.35/3.81 0 [] subclass(successor_relation,cross_product(universal_class,universal_class)). % 3.35/3.81 0 [] -member(ordered_pair(X,Y),successor_relation)|successor(X)=Y. % 3.35/3.81 0 [] successor(X)!=Y| -member(ordered_pair(X,Y),cross_product(universal_class,universal_class))|member(ordered_pair(X,Y),successor_relation). % 3.35/3.81 0 [] -inductive(X)|member(null_class,X). % 3.35/3.81 0 [] -inductive(X)|subclass(image(successor_relation,X),X). % 3.35/3.81 0 [] -member(null_class,X)| -subclass(image(successor_relation,X),X)|inductive(X). % 3.35/3.81 0 [] inductive(omega). % 3.35/3.81 0 [] -inductive(Y)|subclass(omega,Y). % 3.35/3.81 0 [] member(omega,universal_class). % 3.35/3.81 0 [] domain_of(restrict(element_relation,universal_class,X))=sum_class(X). % 3.35/3.81 0 [] -member(X,universal_class)|member(sum_class(X),universal_class). % 3.35/3.81 0 [] complement(image(element_relation,complement(X)))=power_class(X). % 3.35/3.81 0 [] -member(U,universal_class)|member(power_class(U),universal_class). % 3.35/3.81 0 [] subclass(compose(Yr,Xr),cross_product(universal_class,universal_class)). % 3.35/3.81 0 [] -member(ordered_pair(Y,Z),compose(Yr,Xr))|member(Z,image(Yr,image(Xr,singleton(Y)))). % 3.35/3.81 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)). % 3.35/3.81 0 [] -single_valued_class(X)|subclass(compose(X,inverse(X)),identity_relation). % 3.35/3.81 0 [] -subclass(compose(X,inverse(X)),identity_relation)|single_valued_class(X). % 3.35/3.81 0 [] -function(Xf)|subclass(Xf,cross_product(universal_class,universal_class)). % 3.35/3.81 0 [] -function(Xf)|subclass(compose(Xf,inverse(Xf)),identity_relation). % 3.35/3.81 0 [] -subclass(Xf,cross_product(universal_class,universal_class))| -subclass(compose(Xf,inverse(Xf)),identity_relation)|function(Xf). % 3.35/3.81 0 [] -function(Xf)| -member(X,universal_class)|member(image(Xf,X),universal_class). % 3.35/3.81 0 [] X=null_class|member(regular(X),X). % 3.35/3.81 0 [] X=null_class|intersection(X,regular(X))=null_class. % 3.35/3.81 0 [] sum_class(image(Xf,singleton(Y)))=apply(Xf,Y). % 3.35/3.81 0 [] function(choice). % 3.35/3.81 0 [] -member(Y,universal_class)|Y=null_class|member(apply(choice,Y),Y). % 3.35/3.81 0 [] -one_to_one(Xf)|function(Xf). % 3.35/3.81 0 [] -one_to_one(Xf)|function(inverse(Xf)). % 3.35/3.81 0 [] -function(inverse(Xf))| -function(Xf)|one_to_one(Xf). % 3.35/3.81 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. % 3.35/3.81 0 [] intersection(inverse(subset_relation),subset_relation)=identity_relation. % 3.35/3.81 0 [] complement(domain_of(intersection(Xr,identity_relation)))=diagonalise(Xr). % 3.35/3.81 0 [] intersection(domain_of(X),diagonalise(compose(inverse(element_relation),X)))=cantor(X). % 3.35/3.81 0 [] -operation(Xf)|function(Xf). % 3.35/3.81 0 [] -operation(Xf)|cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf)))=domain_of(Xf). % 3.35/3.81 0 [] -operation(Xf)|subclass(range_of(Xf),domain_of(domain_of(Xf))). % 3.35/3.81 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). % 3.35/3.81 0 [] -compatible(Xh,Xf1,Xf2)|function(Xh). % 3.35/3.81 0 [] -compatible(Xh,Xf1,Xf2)|domain_of(domain_of(Xf1))=domain_of(Xh). % 3.35/3.81 0 [] -compatible(Xh,Xf1,Xf2)|subclass(range_of(Xh),domain_of(domain_of(Xf2))). % 3.35/3.81 0 [] -function(Xh)|domain_of(domain_of(Xf1))!=domain_of(Xh)| -subclass(range_of(Xh),domain_of(domain_of(Xf2)))|compatible(Xh,Xf1,Xf2). % 3.35/3.81 0 [] -homomorphism(Xh,Xf1,Xf2)|operation(Xf1). % 3.35/3.81 0 [] -homomorphism(Xh,Xf1,Xf2)|operation(Xf2). % 3.35/3.81 0 [] -homomorphism(Xh,Xf1,Xf2)|compatible(Xh,Xf1,Xf2). % 3.35/3.81 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))). % 3.35/3.81 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). % 3.35/3.81 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). % 3.35/3.81 0 [] subclass(compose_class(X),cross_product(universal_class,universal_class)). % 3.35/3.81 0 [] -member(ordered_pair(Y,Z),compose_class(X))|compose(X,Y)=Z. % 3.35/3.81 0 [] -member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))|compose(X,Y)!=Z|member(ordered_pair(Y,Z),compose_class(X)). % 3.35/3.81 0 [] subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))). % 3.35/3.81 0 [] -member(ordered_pair(X,ordered_pair(Y,Z)),composition_function)|compose(X,Y)=Z. % 3.35/3.81 0 [] -member(ordered_pair(X,Y),cross_product(universal_class,universal_class))|member(ordered_pair(X,ordered_pair(Y,compose(X,Y))),composition_function). % 3.35/3.81 0 [] subclass(domain_relation,cross_product(universal_class,universal_class)). % 3.35/3.81 0 [] -member(ordered_pair(X,Y),domain_relation)|domain_of(X)=Y. % 3.35/3.81 0 [] -member(X,universal_class)|member(ordered_pair(X,domain_of(X)),domain_relation). % 3.35/3.81 0 [] first(not_subclass_element(compose(X,inverse(X)),identity_relation))=single_valued1(X). % 3.35/3.81 0 [] second(not_subclass_element(compose(X,inverse(X)),identity_relation))=single_valued2(X). % 3.35/3.81 0 [] domain(X,image(inverse(X),singleton(single_valued1(X))),single_valued2(X))=single_valued3(X). % 3.35/3.81 0 [] intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation. % 3.35/3.81 0 [] subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))). % 3.35/3.81 0 [] -member(ordered_pair(X,ordered_pair(Y,Z)),application_function)|member(Y,domain_of(X)). % 3.35/3.81 0 [] -member(ordered_pair(X,ordered_pair(Y,Z)),application_function)|apply(X,Y)=Z. % 3.35/3.81 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). % 3.35/3.81 0 [] -maps(Xf,X,Y)|function(Xf). % 3.35/3.81 0 [] -maps(Xf,X,Y)|domain_of(Xf)=X. % 3.35/3.81 0 [] -maps(Xf,X,Y)|subclass(range_of(Xf),Y). % 3.35/3.81 0 [] -function(Xf)| -subclass(range_of(Xf),Y)|maps(Xf,domain_of(Xf),Y). % 3.35/3.81 0 [] union(X,inverse(X))=symmetrization_of(X). % 3.35/3.81 0 [] -irreflexive(X,Y)|subclass(restrict(X,Y,Y),complement(identity_relation)). % 3.35/3.81 0 [] -subclass(restrict(X,Y,Y),complement(identity_relation))|irreflexive(X,Y). % 3.35/3.81 0 [] -connected(X,Y)|subclass(cross_product(Y,Y),union(identity_relation,symmetrization_of(X))). % 3.35/3.81 0 [] -subclass(cross_product(Y,Y),union(identity_relation,symmetrization_of(X)))|connected(X,Y). % 3.35/3.81 0 [] -transitive(Xr,Y)|subclass(compose(restrict(Xr,Y,Y),restrict(Xr,Y,Y)),restrict(Xr,Y,Y)). % 3.35/3.81 0 [] -subclass(compose(restrict(Xr,Y,Y),restrict(Xr,Y,Y)),restrict(Xr,Y,Y))|transitive(Xr,Y). % 3.35/3.81 0 [] -asymmetric(Xr,Y)|restrict(intersection(Xr,inverse(Xr)),Y,Y)=null_class. % 3.35/3.81 0 [] restrict(intersection(Xr,inverse(Xr)),Y,Y)!=null_class|asymmetric(Xr,Y). % 3.35/3.81 0 [] segment(Xr,Y,Z)=domain_of(restrict(Xr,Y,singleton(Z))). % 3.35/3.81 0 [] -well_ordering(X,Y)|connected(X,Y). % 3.35/3.81 0 [] -well_ordering(Xr,Y)| -subclass(U,Y)|U=null_class|member(least(Xr,U),U). % 3.35/3.81 0 [] -well_ordering(Xr,Y)| -subclass(U,Y)| -member(V,U)|member(least(Xr,U),U). % 3.35/3.81 0 [] -well_ordering(Xr,Y)| -subclass(U,Y)|segment(Xr,U,least(Xr,U))=null_class. % 3.35/3.81 0 [] -well_ordering(Xr,Y)| -subclass(U,Y)| -member(V,U)| -member(ordered_pair(V,least(Xr,U)),Xr). % 3.35/3.81 0 [] -connected(Xr,Y)|not_well_ordering(Xr,Y)!=null_class|well_ordering(Xr,Y). % 3.35/3.81 0 [] -connected(Xr,Y)|subclass(not_well_ordering(Xr,Y),Y)|well_ordering(Xr,Y). % 3.35/3.81 0 [] -member(V,not_well_ordering(Xr,Y))|segment(Xr,not_well_ordering(Xr,Y),V)!=null_class| -connected(Xr,Y)|well_ordering(Xr,Y). % 3.35/3.82 0 [] -section(Xr,Y,Z)|subclass(Y,Z). % 3.35/3.82 0 [] -section(Xr,Y,Z)|subclass(domain_of(restrict(Xr,Z,Y)),Y). % 3.35/3.82 0 [] -subclass(Y,Z)| -subclass(domain_of(restrict(Xr,Z,Y)),Y)|section(Xr,Y,Z). % 3.35/3.82 0 [] -member(X,ordinal_numbers)|well_ordering(element_relation,X). % 3.35/3.82 0 [] -member(X,ordinal_numbers)|subclass(sum_class(X),X). % 3.35/3.82 0 [] -well_ordering(element_relation,X)| -subclass(sum_class(X),X)| -member(X,universal_class)|member(X,ordinal_numbers). % 3.35/3.82 0 [] -well_ordering(element_relation,X)| -subclass(sum_class(X),X)|member(X,ordinal_numbers)|X=ordinal_numbers. % 3.35/3.82 0 [] union(singleton(null_class),image(successor_relation,ordinal_numbers))=kind_1_ordinals. % 3.35/3.82 0 [] intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals. % 3.35/3.82 0 [] subclass(rest_of(X),cross_product(universal_class,universal_class)). % 3.35/3.82 0 [] -member(ordered_pair(U,V),rest_of(X))|member(U,domain_of(X)). % 3.35/3.82 0 [] -member(ordered_pair(U,V),rest_of(X))|restrict(X,U,universal_class)=V. % 3.35/3.82 0 [] -member(U,domain_of(X))|restrict(X,U,universal_class)!=V|member(ordered_pair(U,V),rest_of(X)). % 3.35/3.82 0 [] subclass(rest_relation,cross_product(universal_class,universal_class)). % 3.35/3.82 0 [] -member(ordered_pair(X,Y),rest_relation)|rest_of(X)=Y. % 3.35/3.82 0 [] -member(X,universal_class)|member(ordered_pair(X,rest_of(X)),rest_relation). % 3.35/3.82 0 [] -member(X,recursion_e_quation_functions(Z))|function(Z). % 3.35/3.82 0 [] -member(X,recursion_e_quation_functions(Z))|function(X). % 3.35/3.82 0 [] -member(X,recursion_e_quation_functions(Z))|member(domain_of(X),ordinal_numbers). % 3.35/3.82 0 [] -member(X,recursion_e_quation_functions(Z))|compose(Z,rest_of(X))=X. % 3.35/3.82 0 [] -function(Z)| -function(X)| -member(domain_of(X),ordinal_numbers)|compose(Z,rest_of(X))!=X|member(X,recursion_e_quation_functions(Z)). % 3.35/3.82 0 [] subclass(union_of_range_map,cross_product(universal_class,universal_class)). % 3.35/3.82 0 [] -member(ordered_pair(X,Y),union_of_range_map)|sum_class(range_of(X))=Y. % 3.35/3.82 0 [] -member(ordered_pair(X,Y),cross_product(universal_class,universal_class))|sum_class(range_of(X))!=Y|member(ordered_pair(X,Y),union_of_range_map). % 3.35/3.82 0 [] apply(recursion(X,successor_relation,union_of_range_map),Y)=ordinal_add(X,Y). % 3.35/3.82 0 [] recursion(null_class,apply(add_relation,X),union_of_range_map)=ordinal_multiply(X,Y). % 3.35/3.82 0 [] -member(X,omega)|integer_of(X)=X. % 3.35/3.82 0 [] member(X,omega)|integer_of(X)=null_class. % 3.35/3.82 0 [] -subclass(image(successor_relation,ordinal_numbers),kind_1_ordinals). % 3.35/3.82 end_of_list. % 3.35/3.82 % 3.35/3.82 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5. % 3.35/3.82 % 3.35/3.82 This ia a non-Horn set with equality. The strategy will be % 3.35/3.82 Knuth-Bendix, ordered hyper_res, factoring, and unit % 3.35/3.82 deletion, with positive clauses in sos and nonpositive % 3.35/3.82 clauses in usable. % 3.35/3.82 % 3.35/3.82 dependent: set(knuth_bendix). % 3.35/3.82 dependent: set(anl_eq). % 3.35/3.82 dependent: set(para_from). % 3.35/3.82 dependent: set(para_into). % 3.35/3.82 dependent: clear(para_from_right). % 3.35/3.82 dependent: clear(para_into_right). % 3.35/3.82 dependent: set(para_from_vars). % 3.35/3.82 dependent: set(eq_units_both_ways). % 3.35/3.82 dependent: set(dynamic_demod_all). % 3.35/3.82 dependent: set(dynamic_demod). % 3.35/3.82 dependent: set(order_eq). % 3.35/3.82 dependent: set(back_demod). % 3.35/3.82 dependent: set(lrpo). % 3.35/3.82 dependent: set(hyper_res). % 3.35/3.82 dependent: set(unit_deletion). % 3.35/3.82 dependent: set(factor). % 3.35/3.82 % 3.35/3.82 ------------> process usable: % 3.35/3.82 ** KEPT (pick-wt=9): 1 [] -subclass(A,B)| -member(C,A)|member(C,B). % 3.35/3.82 ** KEPT (pick-wt=8): 2 [] -member(not_subclass_element(A,B),B)|subclass(A,B). % 3.35/3.82 ** KEPT (pick-wt=6): 3 [] A!=B|subclass(A,B). % 3.35/3.82 ** KEPT (pick-wt=6): 4 [] A!=B|subclass(B,A). % 3.35/3.82 ** KEPT (pick-wt=9): 5 [] -subclass(A,B)| -subclass(B,A)|A=B. % 3.35/3.82 ** KEPT (pick-wt=11): 6 [] -member(A,unordered_pair(B,C))|A=B|A=C. % 3.35/3.82 ** KEPT (pick-wt=8): 7 [] -member(A,universal_class)|member(A,unordered_pair(A,B)). % 3.35/3.82 ** KEPT (pick-wt=8): 8 [] -member(A,universal_class)|member(A,unordered_pair(B,A)). % 3.35/3.82 ** KEPT (pick-wt=10): 9 [] -member(ordered_pair(A,B),cross_product(C,D))|member(A,C). % 3.35/3.82 ** KEPT (pick-wt=10): 10 [] -member(ordered_pair(A,B),cross_product(C,D))|member(B,D). % 3.35/3.82 ** KEPT (pick-wt=13): 11 [] -member(A,B)| -member(C,D)|member(ordered_pair(A,C),cross_product(B,D)). % 3.35/3.82 ** KEPT (pick-wt=12): 12 [] -member(A,cross_product(B,C))|ordered_pair(first(A),second(A))=A. % 3.35/3.82 ** KEPT (pick-wt=8): 13 [] -member(ordered_pair(A,B),element_relation)|member(A,B). % 3.35/3.82 ** 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). % 3.35/3.82 ** KEPT (pick-wt=8): 15 [] -member(A,intersection(B,C))|member(A,B). % 3.35/3.82 ** KEPT (pick-wt=8): 16 [] -member(A,intersection(B,C))|member(A,C). % 3.35/3.82 ** KEPT (pick-wt=11): 17 [] -member(A,B)| -member(A,C)|member(A,intersection(B,C)). % 3.35/3.82 ** KEPT (pick-wt=7): 18 [] -member(A,complement(B))| -member(A,B). % 3.35/3.82 ** KEPT (pick-wt=10): 19 [] -member(A,universal_class)|member(A,complement(B))|member(A,B). % 3.35/3.82 ** KEPT (pick-wt=11): 20 [] restrict(A,singleton(B),universal_class)!=null_class| -member(B,domain_of(A)). % 3.35/3.82 ** KEPT (pick-wt=14): 21 [] -member(A,universal_class)|restrict(B,singleton(A),universal_class)=null_class|member(A,domain_of(B)). % 3.35/3.82 ** KEPT (pick-wt=15): 22 [] -member(ordered_pair(ordered_pair(A,B),C),rotate(D))|member(ordered_pair(ordered_pair(B,C),A),D). % 3.35/3.82 ** 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)). % 3.35/3.82 ** KEPT (pick-wt=15): 24 [] -member(ordered_pair(ordered_pair(A,B),C),flip(D))|member(ordered_pair(ordered_pair(B,A),C),D). % 3.35/3.82 ** 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)). % 3.35/3.82 ** KEPT (pick-wt=9): 26 [] -member(ordered_pair(A,B),successor_relation)|successor(A)=B. % 3.35/3.82 ** 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). % 3.35/3.82 ** KEPT (pick-wt=5): 28 [] -inductive(A)|member(null_class,A). % 3.35/3.82 ** KEPT (pick-wt=7): 29 [] -inductive(A)|subclass(image(successor_relation,A),A). % 3.35/3.82 ** KEPT (pick-wt=10): 30 [] -member(null_class,A)| -subclass(image(successor_relation,A),A)|inductive(A). % 3.35/3.82 ** KEPT (pick-wt=5): 31 [] -inductive(A)|subclass(omega,A). % 3.35/3.82 ** KEPT (pick-wt=7): 32 [] -member(A,universal_class)|member(sum_class(A),universal_class). % 3.35/3.82 ** KEPT (pick-wt=7): 33 [] -member(A,universal_class)|member(power_class(A),universal_class). % 3.35/3.82 ** KEPT (pick-wt=15): 34 [] -member(ordered_pair(A,B),compose(C,D))|member(B,image(C,image(D,singleton(A)))). % 3.35/3.82 ** 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)). % 3.35/3.82 ** KEPT (pick-wt=8): 36 [] -single_valued_class(A)|subclass(compose(A,inverse(A)),identity_relation). % 3.35/3.82 ** KEPT (pick-wt=8): 37 [] -subclass(compose(A,inverse(A)),identity_relation)|single_valued_class(A). % 3.35/3.82 ** KEPT (pick-wt=7): 38 [] -function(A)|subclass(A,cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=8): 39 [] -function(A)|subclass(compose(A,inverse(A)),identity_relation). % 3.35/3.82 ** KEPT (pick-wt=13): 40 [] -subclass(A,cross_product(universal_class,universal_class))| -subclass(compose(A,inverse(A)),identity_relation)|function(A). % 3.35/3.82 ** KEPT (pick-wt=10): 41 [] -function(A)| -member(B,universal_class)|member(image(A,B),universal_class). % 3.35/3.82 ** KEPT (pick-wt=11): 42 [] -member(A,universal_class)|A=null_class|member(apply(choice,A),A). % 3.35/3.82 ** KEPT (pick-wt=4): 43 [] -one_to_one(A)|function(A). % 3.35/3.82 ** KEPT (pick-wt=5): 44 [] -one_to_one(A)|function(inverse(A)). % 3.35/3.82 ** KEPT (pick-wt=7): 45 [] -function(inverse(A))| -function(A)|one_to_one(A). % 3.35/3.82 ** KEPT (pick-wt=4): 46 [] -operation(A)|function(A). % 3.35/3.82 ** KEPT (pick-wt=12): 47 [] -operation(A)|cross_product(domain_of(domain_of(A)),domain_of(domain_of(A)))=domain_of(A). % 3.35/3.82 ** KEPT (pick-wt=8): 48 [] -operation(A)|subclass(range_of(A),domain_of(domain_of(A))). % 3.35/3.82 ** 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). % 3.35/3.82 ** KEPT (pick-wt=6): 50 [] -compatible(A,B,C)|function(A). % 3.35/3.82 ** KEPT (pick-wt=10): 51 [] -compatible(A,B,C)|domain_of(domain_of(B))=domain_of(A). % 3.35/3.82 ** KEPT (pick-wt=10): 52 [] -compatible(A,B,C)|subclass(range_of(A),domain_of(domain_of(C))). % 3.35/3.82 ** 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). % 3.35/3.82 ** KEPT (pick-wt=6): 54 [] -homomorphism(A,B,C)|operation(B). % 3.35/3.82 ** KEPT (pick-wt=6): 55 [] -homomorphism(A,B,C)|operation(C). % 3.35/3.82 ** KEPT (pick-wt=8): 56 [] -homomorphism(A,B,C)|compatible(A,B,C). % 3.35/3.82 ** 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))). % 3.35/3.82 ** 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). % 3.35/3.82 ** 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). % 3.35/3.82 ** KEPT (pick-wt=11): 60 [] -member(ordered_pair(A,B),compose_class(C))|compose(C,A)=B. % 3.35/3.82 ** 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)). % 3.35/3.82 ** KEPT (pick-wt=12): 62 [] -member(ordered_pair(A,ordered_pair(B,C)),composition_function)|compose(A,B)=C. % 3.35/3.82 ** 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). % 3.35/3.82 ** KEPT (pick-wt=9): 64 [] -member(ordered_pair(A,B),domain_relation)|domain_of(A)=B. % 3.35/3.82 ** KEPT (pick-wt=9): 65 [] -member(A,universal_class)|member(ordered_pair(A,domain_of(A)),domain_relation). % 3.35/3.82 ** KEPT (pick-wt=11): 66 [] -member(ordered_pair(A,ordered_pair(B,C)),application_function)|member(B,domain_of(A)). % 3.35/3.82 ** KEPT (pick-wt=12): 67 [] -member(ordered_pair(A,ordered_pair(B,C)),application_function)|apply(A,B)=C. % 3.35/3.82 ** 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). % 3.35/3.82 ** KEPT (pick-wt=6): 69 [] -maps(A,B,C)|function(A). % 3.35/3.82 ** KEPT (pick-wt=8): 70 [] -maps(A,B,C)|domain_of(A)=B. % 3.35/3.82 ** KEPT (pick-wt=8): 71 [] -maps(A,B,C)|subclass(range_of(A),C). % 3.35/3.82 ** KEPT (pick-wt=11): 72 [] -function(A)| -subclass(range_of(A),B)|maps(A,domain_of(A),B). % 3.35/3.82 ** KEPT (pick-wt=10): 73 [] -irreflexive(A,B)|subclass(restrict(A,B,B),complement(identity_relation)). % 3.35/3.82 ** KEPT (pick-wt=10): 74 [] -subclass(restrict(A,B,B),complement(identity_relation))|irreflexive(A,B). % 3.35/3.82 ** KEPT (pick-wt=11): 75 [] -connected(A,B)|subclass(cross_product(B,B),union(identity_relation,symmetrization_of(A))). % 3.35/3.82 ** KEPT (pick-wt=11): 76 [] -subclass(cross_product(A,A),union(identity_relation,symmetrization_of(B)))|connected(B,A). % 3.35/3.82 ** KEPT (pick-wt=17): 77 [] -transitive(A,B)|subclass(compose(restrict(A,B,B),restrict(A,B,B)),restrict(A,B,B)). % 3.35/3.82 ** KEPT (pick-wt=17): 78 [] -subclass(compose(restrict(A,B,B),restrict(A,B,B)),restrict(A,B,B))|transitive(A,B). % 3.35/3.82 ** KEPT (pick-wt=12): 79 [] -asymmetric(A,B)|restrict(intersection(A,inverse(A)),B,B)=null_class. % 3.35/3.82 ** KEPT (pick-wt=12): 80 [] restrict(intersection(A,inverse(A)),B,B)!=null_class|asymmetric(A,B). % 3.35/3.82 ** KEPT (pick-wt=6): 81 [] -well_ordering(A,B)|connected(A,B). % 3.35/3.82 ** KEPT (pick-wt=14): 82 [] -well_ordering(A,B)| -subclass(C,B)|C=null_class|member(least(A,C),C). % 3.35/3.82 ** KEPT (pick-wt=14): 83 [] -well_ordering(A,B)| -subclass(C,B)| -member(D,C)|member(least(A,C),C). % 3.35/3.82 ** KEPT (pick-wt=14): 84 [] -well_ordering(A,B)| -subclass(C,B)|segment(A,C,least(A,C))=null_class. % 3.35/3.82 ** KEPT (pick-wt=16): 85 [] -well_ordering(A,B)| -subclass(C,B)| -member(D,C)| -member(ordered_pair(D,least(A,C)),A). % 3.35/3.82 ** KEPT (pick-wt=11): 86 [] -connected(A,B)|not_well_ordering(A,B)!=null_class|well_ordering(A,B). % 3.35/3.82 ** KEPT (pick-wt=11): 87 [] -connected(A,B)|subclass(not_well_ordering(A,B),B)|well_ordering(A,B). % 3.35/3.82 ** KEPT (pick-wt=19): 88 [] -member(A,not_well_ordering(B,C))|segment(B,not_well_ordering(B,C),A)!=null_class| -connected(B,C)|well_ordering(B,C). % 3.35/3.82 ** KEPT (pick-wt=7): 89 [] -section(A,B,C)|subclass(B,C). % 3.35/3.82 ** KEPT (pick-wt=11): 90 [] -section(A,B,C)|subclass(domain_of(restrict(A,C,B)),B). % 3.35/3.82 ** KEPT (pick-wt=14): 91 [] -subclass(A,B)| -subclass(domain_of(restrict(C,B,A)),A)|section(C,A,B). % 3.35/3.82 ** KEPT (pick-wt=6): 92 [] -member(A,ordinal_numbers)|well_ordering(element_relation,A). % 3.35/3.82 ** KEPT (pick-wt=7): 93 [] -member(A,ordinal_numbers)|subclass(sum_class(A),A). % 3.35/3.82 ** KEPT (pick-wt=13): 94 [] -well_ordering(element_relation,A)| -subclass(sum_class(A),A)| -member(A,universal_class)|member(A,ordinal_numbers). % 3.35/3.82 ** KEPT (pick-wt=13): 95 [] -well_ordering(element_relation,A)| -subclass(sum_class(A),A)|member(A,ordinal_numbers)|A=ordinal_numbers. % 3.35/3.82 ** KEPT (pick-wt=10): 96 [] -member(ordered_pair(A,B),rest_of(C))|member(A,domain_of(C)). % 3.35/3.82 ** KEPT (pick-wt=12): 97 [] -member(ordered_pair(A,B),rest_of(C))|restrict(C,A,universal_class)=B. % 3.35/3.82 ** KEPT (pick-wt=16): 98 [] -member(A,domain_of(B))|restrict(B,A,universal_class)!=C|member(ordered_pair(A,C),rest_of(B)). % 3.35/3.82 ** KEPT (pick-wt=9): 99 [] -member(ordered_pair(A,B),rest_relation)|rest_of(A)=B. % 3.35/3.82 ** KEPT (pick-wt=9): 100 [] -member(A,universal_class)|member(ordered_pair(A,rest_of(A)),rest_relation). % 3.35/3.82 ** KEPT (pick-wt=6): 101 [] -member(A,recursion_e_quation_functions(B))|function(B). % 3.35/3.82 ** KEPT (pick-wt=6): 102 [] -member(A,recursion_e_quation_functions(B))|function(A). % 3.35/3.82 ** KEPT (pick-wt=8): 103 [] -member(A,recursion_e_quation_functions(B))|member(domain_of(A),ordinal_numbers). % 3.35/3.82 ** KEPT (pick-wt=10): 104 [] -member(A,recursion_e_quation_functions(B))|compose(B,rest_of(A))=A. % 3.35/3.82 ** KEPT (pick-wt=18): 105 [] -function(A)| -function(B)| -member(domain_of(B),ordinal_numbers)|compose(A,rest_of(B))!=B|member(B,recursion_e_quation_functions(A)). % 3.35/3.82 ** KEPT (pick-wt=10): 106 [] -member(ordered_pair(A,B),union_of_range_map)|sum_class(range_of(A))=B. % 3.35/3.82 ** KEPT (pick-wt=17): 107 [] -member(ordered_pair(A,B),cross_product(universal_class,universal_class))|sum_class(range_of(A))!=B|member(ordered_pair(A,B),union_of_range_map). % 3.35/3.82 ** KEPT (pick-wt=7): 108 [] -member(A,omega)|integer_of(A)=A. % 3.35/3.82 ** KEPT (pick-wt=5): 109 [] -subclass(image(successor_relation,ordinal_numbers),kind_1_ordinals). % 3.35/3.82 % 3.35/3.82 ------------> process sos: % 3.35/3.82 ** KEPT (pick-wt=3): 119 [] A=A. % 3.35/3.82 ** KEPT (pick-wt=8): 120 [] member(not_subclass_element(A,B),A)|subclass(A,B). % 3.35/3.82 ** KEPT (pick-wt=3): 121 [] subclass(A,universal_class). % 3.35/3.82 ** KEPT (pick-wt=5): 122 [] member(unordered_pair(A,B),universal_class). % 3.35/3.82 ** KEPT (pick-wt=6): 124 [copy,123,flip.1] singleton(A)=unordered_pair(A,A). % 3.35/3.82 ---> New Demodulator: 125 [new_demod,124] singleton(A)=unordered_pair(A,A). % 3.35/3.82 ** KEPT (pick-wt=13): 127 [copy,126,demod,125,125] unordered_pair(unordered_pair(A,A),unordered_pair(A,unordered_pair(B,B)))=ordered_pair(A,B). % 3.35/3.82 ---> New Demodulator: 128 [new_demod,127] unordered_pair(unordered_pair(A,A),unordered_pair(A,unordered_pair(B,B)))=ordered_pair(A,B). % 3.35/3.82 ** KEPT (pick-wt=5): 129 [] subclass(element_relation,cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=10): 130 [] complement(intersection(complement(A),complement(B)))=union(A,B). % 3.35/3.82 ---> New Demodulator: 131 [new_demod,130] complement(intersection(complement(A),complement(B)))=union(A,B). % 3.35/3.82 ** KEPT (pick-wt=12): 133 [copy,132,demod,131] intersection(complement(intersection(A,B)),union(A,B))=symmetric_difference(A,B). % 3.35/3.82 ---> New Demodulator: 134 [new_demod,133] intersection(complement(intersection(A,B)),union(A,B))=symmetric_difference(A,B). % 3.35/3.82 ** KEPT (pick-wt=10): 135 [] intersection(A,cross_product(B,C))=restrict(A,B,C). % 3.35/3.82 ---> New Demodulator: 136 [new_demod,135] intersection(A,cross_product(B,C))=restrict(A,B,C). % 3.35/3.82 ** KEPT (pick-wt=10): 137 [] intersection(cross_product(A,B),C)=restrict(C,A,B). % 3.35/3.82 ---> New Demodulator: 138 [new_demod,137] intersection(cross_product(A,B),C)=restrict(C,A,B). % 3.35/3.82 ** KEPT (pick-wt=8): 139 [] subclass(rotate(A),cross_product(cross_product(universal_class,universal_class),universal_class)). % 3.35/3.82 ** KEPT (pick-wt=8): 140 [] subclass(flip(A),cross_product(cross_product(universal_class,universal_class),universal_class)). % 3.35/3.82 ** KEPT (pick-wt=8): 142 [copy,141,flip.1] inverse(A)=domain_of(flip(cross_product(A,universal_class))). % 3.35/3.82 ---> New Demodulator: 143 [new_demod,142] inverse(A)=domain_of(flip(cross_product(A,universal_class))). % 3.35/3.82 ** KEPT (pick-wt=9): 145 [copy,144,demod,143,flip.1] range_of(A)=domain_of(domain_of(flip(cross_product(A,universal_class)))). % 3.35/3.82 ---> New Demodulator: 146 [new_demod,145] range_of(A)=domain_of(domain_of(flip(cross_product(A,universal_class)))). % 3.35/3.82 ** KEPT (pick-wt=14): 148 [copy,147,demod,125] first(not_subclass_element(restrict(A,B,unordered_pair(C,C)),null_class))=domain(A,B,C). % 3.35/3.82 ---> New Demodulator: 149 [new_demod,148] first(not_subclass_element(restrict(A,B,unordered_pair(C,C)),null_class))=domain(A,B,C). % 3.35/3.82 ** KEPT (pick-wt=14): 151 [copy,150,demod,125] second(not_subclass_element(restrict(A,unordered_pair(B,B),C),null_class))=range(A,B,C). % 3.35/3.82 ---> New Demodulator: 152 [new_demod,151] second(not_subclass_element(restrict(A,unordered_pair(B,B),C),null_class))=range(A,B,C). % 3.35/3.82 ** KEPT (pick-wt=13): 154 [copy,153,demod,146] domain_of(domain_of(flip(cross_product(restrict(A,B,universal_class),universal_class))))=image(A,B). % 3.35/3.82 ---> New Demodulator: 155 [new_demod,154] domain_of(domain_of(flip(cross_product(restrict(A,B,universal_class),universal_class))))=image(A,B). % 3.35/3.82 ** KEPT (pick-wt=8): 157 [copy,156,demod,125,flip.1] successor(A)=union(A,unordered_pair(A,A)). % 3.35/3.82 ---> New Demodulator: 158 [new_demod,157] successor(A)=union(A,unordered_pair(A,A)). % 3.35/3.82 ** KEPT (pick-wt=5): 159 [] subclass(successor_relation,cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=2): 160 [] inductive(omega). % 3.35/3.82 ** KEPT (pick-wt=3): 161 [] member(omega,universal_class). % 3.35/3.82 ** KEPT (pick-wt=8): 163 [copy,162,flip.1] sum_class(A)=domain_of(restrict(element_relation,universal_class,A)). % 3.35/3.82 ---> New Demodulator: 164 [new_demod,163] sum_class(A)=domain_of(restrict(element_relation,universal_class,A)). % 3.35/3.82 ** KEPT (pick-wt=8): 166 [copy,165,flip.1] power_class(A)=complement(image(element_relation,complement(A))). % 3.35/3.82 ---> New Demodulator: 167 [new_demod,166] power_class(A)=complement(image(element_relation,complement(A))). % 3.35/3.82 ** KEPT (pick-wt=7): 168 [] subclass(compose(A,B),cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=7): 169 [] A=null_class|member(regular(A),A). % 3.35/3.82 ** KEPT (pick-wt=9): 170 [] A=null_class|intersection(A,regular(A))=null_class. % 3.35/3.82 ** KEPT (pick-wt=13): 172 [copy,171,demod,125,164] domain_of(restrict(element_relation,universal_class,image(A,unordered_pair(B,B))))=apply(A,B). % 3.35/3.82 ---> New Demodulator: 173 [new_demod,172] domain_of(restrict(element_relation,universal_class,image(A,unordered_pair(B,B))))=apply(A,B). % 3.35/3.82 ** KEPT (pick-wt=2): 174 [] function(choice). % 3.35/3.82 ** KEPT (pick-wt=17): 176 [copy,175,demod,143,138,138] 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. % 3.35/3.82 ---> New Demodulator: 177 [new_demod,176] 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. % 3.35/3.82 ** KEPT (pick-wt=9): 179 [copy,178,demod,143] intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation. % 3.35/3.82 ---> New Demodulator: 180 [new_demod,179] intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation. % 3.35/3.82 ** KEPT (pick-wt=8): 181 [] complement(domain_of(intersection(A,identity_relation)))=diagonalise(A). % 3.35/3.82 ---> New Demodulator: 182 [new_demod,181] complement(domain_of(intersection(A,identity_relation)))=diagonalise(A). % 3.35/3.82 ** KEPT (pick-wt=14): 184 [copy,183,demod,143] intersection(domain_of(A),diagonalise(compose(domain_of(flip(cross_product(element_relation,universal_class))),A)))=cantor(A). % 3.35/3.82 ---> New Demodulator: 185 [new_demod,184] intersection(domain_of(A),diagonalise(compose(domain_of(flip(cross_product(element_relation,universal_class))),A)))=cantor(A). % 3.35/3.82 ** KEPT (pick-wt=6): 186 [] subclass(compose_class(A),cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=7): 187 [] subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))). % 3.35/3.82 ** KEPT (pick-wt=5): 188 [] subclass(domain_relation,cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=13): 190 [copy,189,demod,143,flip.1] single_valued1(A)=first(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)). % 3.35/3.82 ---> New Demodulator: 191 [new_demod,190] single_valued1(A)=first(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)). % 3.35/3.82 ** KEPT (pick-wt=13): 193 [copy,192,demod,143,flip.1] single_valued2(A)=second(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)). % 3.35/3.82 ---> New Demodulator: 194 [new_demod,193] single_valued2(A)=second(not_subclass_element(compose(A,domain_of(flip(cross_product(A,universal_class)))),identity_relation)). % 3.35/3.82 ** KEPT (pick-wt=42): 196 [copy,195,demod,143,191,125,194,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))). % 3.35/3.82 ---> New Demodulator: 197 [new_demod,196] 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))). % 3.35/3.82 ** KEPT (pick-wt=9): 198 [] intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation. % 3.35/3.82 ---> New Demodulator: 199 [new_demod,198] intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation. % 3.35/3.82 ** KEPT (pick-wt=7): 200 [] subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))). % 3.35/3.82 ** KEPT (pick-wt=10): 202 [copy,201,demod,143,flip.1] symmetrization_of(A)=union(A,domain_of(flip(cross_product(A,universal_class)))). % 3.35/3.82 ---> New Demodulator: 203 [new_demod,202] symmetrization_of(A)=union(A,domain_of(flip(cross_product(A,universal_class)))). % 3.35/3.82 ** KEPT (pick-wt=12): 205 [copy,204,demod,125,flip.1] domain_of(restrict(A,B,unordered_pair(C,C)))=segment(A,B,C). % 3.35/3.82 ---> New Demodulator: 206 [new_demod,205] domain_of(restrict(A,B,unordered_pair(C,C)))=segment(A,B,C). % 3.35/3.82 ** KEPT (pick-wt=9): 208 [copy,207,demod,125] union(unordered_pair(null_class,null_class),image(successor_relation,ordinal_numbers))=kind_1_ordinals. % 3.35/3.82 ---> New Demodulator: 209 [new_demod,208] union(unordered_pair(null_class,null_class),image(successor_relation,ordinal_numbers))=kind_1_ordinals. % 3.35/3.82 ** KEPT (pick-wt=6): 210 [] intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals. % 3.35/3.82 ---> New Demodulator: 211 [new_demod,210] intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals. % 3.35/3.82 ** KEPT (pick-wt=6): 212 [] subclass(rest_of(A),cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=5): 213 [] subclass(rest_relation,cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=5): 214 [] subclass(union_of_range_map,cross_product(universal_class,universal_class)). % 3.35/3.82 ** KEPT (pick-wt=10): 216 [copy,215,flip.1] ordinal_add(A,B)=apply(recursion(A,successor_relation,union_of_range_map),B). % 3.35/3.82 ---> New Demodulator: 217 [new_demod,216] ordinal_add(A,B)=apply(recursion(A,successor_relation,union_of_range_map),B). % 3.35/3.82 ** KEPT (pick-wt=10): 219 [copy,218,flip.1] ordinal_multiply(A,B)=recursion(null_class,apply(add_relation,A),union_of_range_map). % 3.35/3.82 ---> New Demodulator: 220 [new_demod,219] ordinal_multiply(A,B)=recursion(null_class,apply(add_relation,A),union_of_range_map). % 3.35/3.82 ** KEPT (pick-wt=7): 221 [] member(A,omega)|integer_of(A)=null_class. % 3.35/3.82 Following clause subsumed by 119 during input processing: 0 [copy,119,flip.1] A=A. % 3.35/3.82 119 back subsumes 110. % 3.35/3.82 >>>> Starting back demodulation with 125. % 3.35/3.82 >> back demodulating 35 with 125. % 3.35/3.82 >> back demodulating 34 with 125. % 3.35/3.82 >> back demodulating 21 with 125. % 3.35/3.82 >> back demodulating 20 with 125. % 3.35/3.82 >>>> Starting back demodulation with 128. % 3.35/3.82 >>>> Starting back demodulation with 131. % 3.35/3.82 >>>> Starting back demodulation with 134. % 3.35/3.82 >>>> Starting back demodulation with 136. % 3.35/3.82 >>>> Starting back demodulation with 138. % 3.35/3.82 >>>> Starting back demodulation with 143. % 3.35/3.82 >> back demodulating 80 with 143. % 3.35/3.82 >> back demodulating 79 with 143. % 3.35/3.82 >> back demodulating 45 with 143. % 3.71/3.89 >> back demodulating 44 with 143. % 3.71/3.89 >> back demodulating 40 with 143. % 3.71/3.89 >> back demodulating 39 with 143. % 3.71/3.89 >> back demodulating 37 with 143. % 3.71/3.89 >> back demodulating 36 with 143. % 3.71/3.89 >>>> Starting back demodulation with 146. % 3.71/3.89 >> back demodulating 107 with 146. % 3.71/3.89 >> back demodulating 106 with 146. % 3.71/3.89 >> back demodulating 72 with 146. % 3.71/3.89 >> back demodulating 71 with 146. % 3.71/3.89 >> back demodulating 53 with 146. % 3.71/3.89 >> back demodulating 52 with 146. % 3.71/3.89 >> back demodulating 49 with 146. % 3.71/3.89 >> back demodulating 48 with 146. % 3.71/3.89 >>>> Starting back demodulation with 149. % 3.71/3.89 >>>> Starting back demodulation with 152. % 3.71/3.89 >>>> Starting back demodulation with 155. % 3.71/3.89 >>>> Starting back demodulation with 158. % 3.71/3.89 >> back demodulating 27 with 158. % 3.71/3.89 >> back demodulating 26 with 158. % 3.71/3.89 >>>> Starting back demodulation with 164. % 3.71/3.89 >> back demodulating 95 with 164. % 3.71/3.89 >> back demodulating 94 with 164. % 3.71/3.89 >> back demodulating 93 with 164. % 3.71/3.89 >> back demodulating 32 with 164. % 3.71/3.89 >>>> Starting back demodulation with 167. % 3.71/3.89 >> back demodulating 33 with 167. % 3.71/3.89 >>>> Starting back demodulation with 173. % 3.71/3.89 >>>> Starting back demodulation with 177. % 3.71/3.89 >>>> Starting back demodulation with 180. % 3.71/3.89 >>>> Starting back demodulation with 182. % 3.71/3.89 >>>> Starting back demodulation with 185. % 3.71/3.89 >>>> Starting back demodulation with 191. % 3.71/3.89 >>>> Starting back demodulation with 194. % 3.71/3.89 >>>> Starting back demodulation with 197. % 3.71/3.89 >>>> Starting back demodulation with 199. % 3.71/3.89 >>>> Starting back demodulation with 203. % 3.71/3.89 >> back demodulating 76 with 203. % 3.71/3.89 >> back demodulating 75 with 203. % 3.71/3.89 >>>> Starting back demodulation with 206. % 3.71/3.89 >>>> Starting back demodulation with 209. % 3.71/3.89 >>>> Starting back demodulation with 211. % 3.71/3.89 >>>> Starting back demodulation with 217. % 3.71/3.89 >>>> Starting back demodulation with 220. % 3.71/3.89 % 3.71/3.89 ======= end of input processing ======= % 3.71/3.89 % 3.71/3.89 =========== start of search =========== % 3.71/3.89 % 3.71/3.89 % 3.71/3.89 Resetting weight limit to 3. % 3.71/3.89 % 3.71/3.89 % 3.71/3.89 Resetting weight limit to 3. % 3.71/3.89 % 3.71/3.89 sos_size=79 % 3.71/3.89 % 3.71/3.89 Search stopped because sos empty. % 3.71/3.89 % 3.71/3.89 % 3.71/3.89 Search stopped because sos empty. % 3.71/3.89 % 3.71/3.89 ============ end of search ============ % 3.71/3.89 % 3.71/3.89 -------------- statistics ------------- % 3.71/3.89 clauses given 84 % 3.71/3.89 clauses generated 5107 % 3.71/3.89 clauses kept 202 % 3.71/3.89 clauses forward subsumed 38 % 3.71/3.89 clauses back subsumed 1 % 3.71/3.89 Kbytes malloced 5859 % 3.71/3.89 % 3.71/3.89 ----------- times (seconds) ----------- % 3.71/3.89 user CPU time 0.08 (0 hr, 0 min, 0 sec) % 3.71/3.89 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 3.71/3.89 wall-clock time 4 (0 hr, 0 min, 4 sec) % 3.71/3.89 % 3.71/3.89 Process 32687 finished Wed Jul 27 10:04:26 2022 % 3.71/3.89 Otter interrupted % 3.71/3.89 PROOF NOT FOUND %------------------------------------------------------------------------------