%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM223-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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  : 600s
% DateTime : Mon Jul 18 14:24:43 EDT 2022

% Result   : Timeout 299.72s 300.38s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM223-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n013.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul  5 20:27:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 299.72/300.38  
% 299.72/300.38  SPASS V 3.9 
% 299.72/300.38  SPASS beiseite: Ran out of time.
% 299.72/300.38  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 299.72/300.38  SPASS derived 207895 clauses, backtracked 34349 clauses, performed 53 splits and kept 84854 clauses.
% 299.72/300.38  SPASS allocated 247842 KBytes.
% 299.72/300.38  SPASS spent	0:05:00.04 on the problem.
% 299.72/300.38  		0:00:00.04 for the input.
% 299.72/300.38  		0:00:00.00 for the FLOTTER CNF translation.
% 299.72/300.38  		0:00:02.80 for inferences.
% 299.72/300.38  		0:0:11.25 for the backtracking.
% 299.72/300.38  		0:4:41.78 for the reduction.
% 299.72/300.38  
% 299.72/300.38  
% 299.72/300.38   The set of clauses at termination is :
% 299.72/300.38  265197[5:Res:263560.1,113722.0] || equal(complement(complement(u)),identity_relation)** -> equal(u,identity_relation).
% 299.72/300.38  264967[5:Res:263560.1,3646.0] || equal(complement(u),identity_relation) -> section(element_relation,u,universal_class)*.
% 299.72/300.38  264958[5:Res:263560.1,256417.0] || equal(complement(u),identity_relation) -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  264943[5:Res:263560.1,256182.0] || equal(complement(regular(u)),identity_relation)** -> equal(u,identity_relation).
% 299.72/300.38  251244[0:SpR:249204.0,580.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),complement(w))),union(intersection(power_class(u),complement(v)),w))**.
% 299.72/300.38  264441[5:Res:264294.0,5229.1] inductive(complement(symmetrization_of(u))) ||  -> member(identity_relation,complement(u))*.
% 299.72/300.38  270324[5:Res:176.0,269422.1] || equal(symmetrization_of(rest_relation),identity_relation)** -> .
% 299.72/300.38  269438[15:Res:264434.1,234737.0] || equal(symmetrization_of(complement(singleton(singleton(singleton(identity_relation))))),identity_relation)** -> .
% 299.72/300.38  251233[0:SpR:249204.0,941.0] ||  -> equal(intersection(union(complement(power_class(u)),v),union(power_class(u),complement(v))),symmetric_difference(power_class(u),complement(v)))**.
% 299.72/300.38  269410[9:Res:264434.1,220468.0] || equal(symmetrization_of(singleton(regular(complement(symmetrization_of(identity_relation))))),identity_relation)** -> .
% 299.72/300.38  269409[10:Res:264434.1,219767.0] || equal(symmetrization_of(singleton(regular(complement(power_class(universal_class))))),identity_relation)** -> .
% 299.72/300.38  195208[17:Rew:195144.1,20168.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,w)) -> member(ordered_pair(u,identity_relation),union(v,w))*.
% 299.72/300.38  269408[11:Res:264434.1,219617.0] || equal(symmetrization_of(singleton(regular(complement(power_class(identity_relation))))),identity_relation)** -> .
% 299.72/300.38  269429[5:Res:264434.1,3633.0] || equal(symmetrization_of(unordered_pair(singleton(u),v)),identity_relation)** -> .
% 299.72/300.38  269424[5:Res:264434.1,3632.0] || equal(symmetrization_of(unordered_pair(u,singleton(v))),identity_relation)** -> .
% 299.72/300.38  269403[5:Res:264434.1,39989.0] || equal(symmetrization_of(singleton(unordered_pair(u,v))),identity_relation)** -> .
% 299.72/300.38  195192[17:Rew:195144.1,20157.3] || member(u,universal_class)+ subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(u,identity_relation),w)*.
% 299.72/300.38  269402[5:Res:264434.1,39996.0] || equal(symmetrization_of(singleton(ordered_pair(u,v))),identity_relation)** -> .
% 299.72/300.38  269433[5:Res:264434.1,218114.0] || equal(symmetrization_of(unordered_pair(power_class(identity_relation),u)),identity_relation)** -> .
% 299.72/300.38  269428[5:Res:264434.1,218115.0] || equal(symmetrization_of(unordered_pair(u,power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  269411[5:Res:264434.1,215275.0] || equal(symmetrization_of(singleton(least(element_relation,omega))),identity_relation)** -> .
% 299.72/300.38  28047[3:Res:63.1,3692.1] function(u) inductive(u) || well_ordering(v,cross_product(universal_class,universal_class))*+ -> member(least(v,u),u)*.
% 299.72/300.38  269407[20:Res:264434.1,215168.0] || equal(symmetrization_of(singleton(regular(symmetrization_of(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  269412[5:Res:264434.1,3626.0] || equal(symmetrization_of(ordered_pair(u,v)),identity_relation)** -> .
% 299.72/300.38  269432[15:Res:264434.1,191795.0] || equal(symmetrization_of(unordered_pair(identity_relation,u)),identity_relation)** -> .
% 299.72/300.38  269427[15:Res:264434.1,191808.0] || equal(symmetrization_of(unordered_pair(u,identity_relation)),identity_relation)** -> .
% 299.72/300.38  27621[5:Res:5329.3,1054.0] || member(u,universal_class) subclass(u,singleton(v))* -> equal(u,identity_relation) equal(apply(choice,u),v).
% 299.72/300.38  269401[5:Res:264434.1,3631.0] || equal(symmetrization_of(singleton(singleton(u))),identity_relation)** -> .
% 299.72/300.38  269406[5:Res:264434.1,205406.0] || equal(symmetrization_of(singleton(power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  269405[5:Res:264434.1,202633.0] || equal(symmetrization_of(singleton(omega)),identity_relation)** -> .
% 299.72/300.38  269420[5:Res:264434.1,40243.0] || equal(symmetrization_of(domain_relation),identity_relation)** -> .
% 299.72/300.38  7532[0:SpL:27.0,336.0] || member(u,image(element_relation,union(v,w))) member(u,power_class(intersection(complement(v),complement(w))))* -> .
% 299.72/300.38  264418[5:SpR:118447.0,264294.0] ||  -> subclass(complement(symmetrization_of(symmetric_difference(universal_class,u))),union(u,identity_relation))*.
% 299.72/300.38  264391[5:Res:264292.0,5229.1] inductive(complement(successor(u))) ||  -> member(identity_relation,complement(u))*.
% 299.72/300.38  269154[5:Res:176.0,268530.1] || equal(successor(rest_relation),identity_relation)** -> .
% 299.72/300.38  26503[5:Rew:6417.0,26486.1] ||  -> equal(cross_product(u,singleton(v)),identity_relation) equal(domain__dfg(regular(cross_product(u,singleton(v))),u,v),single_valued3(identity_relation))**.
% 299.72/300.38  268546[15:Res:264384.1,234737.0] || equal(successor(complement(singleton(singleton(singleton(identity_relation))))),identity_relation)** -> .
% 299.72/300.38  8091[5:Res:5294.1,5405.0] || member(regular(intersection(regular(u),v)),u)* -> equal(intersection(regular(u),v),identity_relation) equal(u,identity_relation).
% 299.72/300.38  268518[9:Res:264384.1,220468.0] || equal(successor(singleton(regular(complement(symmetrization_of(identity_relation))))),identity_relation)** -> .
% 299.72/300.38  268517[10:Res:264384.1,219767.0] || equal(successor(singleton(regular(complement(power_class(universal_class))))),identity_relation)** -> .
% 299.72/300.38  268516[11:Res:264384.1,219617.0] || equal(successor(singleton(regular(complement(power_class(identity_relation))))),identity_relation)** -> .
% 299.72/300.38  268537[5:Res:264384.1,3633.0] || equal(successor(unordered_pair(singleton(u),v)),identity_relation)** -> .
% 299.72/300.38  30831[5:Res:5201.1,2599.1] inductive(complement(intersection(u,v))) || member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v))*.
% 299.72/300.38  268532[5:Res:264384.1,3632.0] || equal(successor(unordered_pair(u,singleton(v))),identity_relation)** -> .
% 299.72/300.38  268511[5:Res:264384.1,39989.0] || equal(successor(singleton(unordered_pair(u,v))),identity_relation)** -> .
% 299.72/300.38  268510[5:Res:264384.1,39996.0] || equal(successor(singleton(ordered_pair(u,v))),identity_relation)** -> .
% 299.72/300.38  268541[5:Res:264384.1,218114.0] || equal(successor(unordered_pair(power_class(identity_relation),u)),identity_relation)** -> .
% 299.72/300.38  8098[5:Res:5295.1,5405.0] || member(regular(intersection(u,regular(v))),v)* -> equal(intersection(u,regular(v)),identity_relation) equal(v,identity_relation).
% 299.72/300.38  268536[5:Res:264384.1,218115.0] || equal(successor(unordered_pair(u,power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  268519[5:Res:264384.1,215275.0] || equal(successor(singleton(least(element_relation,omega))),identity_relation)** -> .
% 299.72/300.38  268515[20:Res:264384.1,215168.0] || equal(successor(singleton(regular(symmetrization_of(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  268520[5:Res:264384.1,3626.0] || equal(successor(ordered_pair(u,v)),identity_relation)** -> .
% 299.72/300.38  5556[5:Rew:5180.0,4831.1] || subclass(omega,rest_of(u))+ -> equal(integer_of(ordered_pair(v,w)),identity_relation)** equal(restrict(u,v,universal_class),w)*.
% 299.72/300.38  268540[15:Res:264384.1,191795.0] || equal(successor(unordered_pair(identity_relation,u)),identity_relation)** -> .
% 299.72/300.38  268535[15:Res:264384.1,191808.0] || equal(successor(unordered_pair(u,identity_relation)),identity_relation)** -> .
% 299.72/300.38  268509[5:Res:264384.1,3631.0] || equal(successor(singleton(singleton(u))),identity_relation)** -> .
% 299.72/300.38  268514[5:Res:264384.1,205406.0] || equal(successor(singleton(power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  5563[5:Rew:5180.0,4844.1] || subclass(omega,composition_function) -> equal(integer_of(ordered_pair(u,ordered_pair(v,w))),identity_relation)** equal(compose(u,v),w).
% 299.72/300.38  268762[17:Res:263560.1,268557.0] || equal(complement(flip(successor_relation)),identity_relation)** -> .
% 299.72/300.38  268513[5:Res:264384.1,202633.0] || equal(successor(singleton(omega)),identity_relation)** -> .
% 299.72/300.38  268763[17:Res:7.1,268557.0] || equal(flip(successor_relation),domain_relation)** -> .
% 299.72/300.38  268557[17:MRR:214005.1,268520.0] || subclass(domain_relation,flip(successor_relation))* -> .
% 299.72/300.38  25231[5:Rew:941.0,25183.0] ||  -> equal(symmetric_difference(complement(u),complement(v)),identity_relation) member(regular(symmetric_difference(complement(u),complement(v))),union(u,v))*.
% 299.72/300.38  268528[5:Res:264384.1,40243.0] || equal(successor(domain_relation),identity_relation)** -> .
% 299.72/300.38  264364[5:SpR:118447.0,264292.0] ||  -> subclass(complement(successor(symmetric_difference(universal_class,u))),union(u,identity_relation))*.
% 299.72/300.38  264001[5:Rew:22454.0,263923.1] || equal(complement(complement(u)),universal_class)** -> subclass(universal_class,u).
% 299.72/300.38  9122[5:SpL:598.0,5244.1] || member(u,domain_of(cross_product(v,w))) equal(restrict(cross_product(singleton(u),universal_class),v,w),identity_relation)** -> .
% 299.72/300.38  263849[5:Res:263738.0,79033.0] ||  -> subclass(symmetric_difference(universal_class,complement(cantor(inverse(u)))),range_of(u))*.
% 299.72/300.38  263846[5:Res:263738.0,5229.1] inductive(symmetric_difference(universal_class,complement(u))) ||  -> member(identity_relation,u)*.
% 299.72/300.38  263822[5:SpR:118447.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,union(u,identity_relation)),symmetric_difference(universal_class,u))*.
% 299.72/300.38  267972[9:SoR:267898.0,166138.1] || equal(complement(complement(intersection(symmetrization_of(identity_relation),u))),universal_class)** -> .
% 299.72/300.38  34162[0:Res:3654.2,15.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))*+ subclass(composition_function,cross_product(w,x))* -> member(u,w)*.
% 299.72/300.38  267845[9:SoR:267807.0,166138.1] || equal(complement(complement(intersection(u,symmetrization_of(identity_relation)))),universal_class)** -> .
% 299.72/300.38  268160[9:MRR:268155.1,168280.0] inductive(intersection(u,complement(complement(symmetrization_of(identity_relation))))) ||  -> .
% 299.72/300.38  267571[5:Res:261657.0,263650.0] ||  -> subclass(intersection(u,complement(complement(symmetrization_of(identity_relation)))),inverse(identity_relation))*.
% 299.72/300.38  268070[9:MRR:268065.1,168280.0] inductive(intersection(complement(complement(symmetrization_of(identity_relation))),u)) ||  -> .
% 299.72/300.38  123919[0:Res:366.1,158.0] ||  -> subclass(intersection(omega,u),v) equal(integer_of(not_subclass_element(intersection(omega,u),v)),not_subclass_element(intersection(omega,u),v))**.
% 299.72/300.38  267567[5:Res:263405.0,263650.0] ||  -> subclass(intersection(complement(complement(symmetrization_of(identity_relation))),u),inverse(identity_relation))*.
% 299.72/300.38  267566[5:Res:264271.0,263650.0] ||  -> subclass(complement(union(complement(inverse(identity_relation)),u)),inverse(identity_relation))*.
% 299.72/300.38  267565[5:Res:263211.0,263650.0] ||  -> subclass(complement(union(u,complement(inverse(identity_relation)))),inverse(identity_relation))*.
% 299.72/300.38  267898[9:MRR:267879.1,168280.0] inductive(complement(complement(intersection(symmetrization_of(identity_relation),u)))) ||  -> .
% 299.72/300.38  123928[0:Res:356.1,158.0] ||  -> subclass(intersection(u,omega),v) equal(integer_of(not_subclass_element(intersection(u,omega),v)),not_subclass_element(intersection(u,omega),v))**.
% 299.72/300.38  267897[9:MRR:267872.1,168294.0] || equal(complement(intersection(symmetrization_of(identity_relation),u)),identity_relation)** -> .
% 299.72/300.38  267561[5:Res:263450.0,263650.0] ||  -> subclass(complement(complement(intersection(symmetrization_of(identity_relation),u))),inverse(identity_relation))*.
% 299.72/300.38  267807[9:MRR:267788.1,168280.0] inductive(complement(complement(intersection(u,symmetrization_of(identity_relation))))) ||  -> .
% 299.72/300.38  267806[9:MRR:267781.1,168294.0] || equal(complement(intersection(u,symmetrization_of(identity_relation))),identity_relation)** -> .
% 299.72/300.38  122951[5:Rew:122359.0,33831.1,122359.0,33831.0] || equal(cross_product(u,u),complement(complement(symmetrization_of(v))))* -> equal(complement(complement(symmetrization_of(v))),cross_product(u,u)).
% 299.72/300.38  267559[5:Res:262607.0,263650.0] ||  -> subclass(complement(complement(intersection(u,symmetrization_of(identity_relation)))),inverse(identity_relation))*.
% 299.72/300.38  267746[9:SoR:267705.0,166138.1] || equal(complement(complement(complement(complement(symmetrization_of(identity_relation))))),universal_class)** -> .
% 299.72/300.38  267705[9:MRR:267698.1,168280.0] inductive(complement(complement(complement(complement(symmetrization_of(identity_relation)))))) ||  -> .
% 299.72/300.38  267702[9:MRR:267691.1,168294.0] || equal(complement(complement(complement(symmetrization_of(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  2159[0:SpL:647.0,97.0] || member(singleton(singleton(singleton(ordered_pair(u,v)))),composition_function)*+ -> equal(compose(singleton(ordered_pair(u,v)),u),v)**.
% 299.72/300.38  267560[5:Res:263745.0,263650.0] ||  -> subclass(complement(complement(complement(complement(symmetrization_of(identity_relation))))),inverse(identity_relation))*.
% 299.72/300.38  267580[20:Res:244951.0,263650.0] ||  -> subclass(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),inverse(identity_relation))*.
% 299.72/300.38  267564[5:Res:264410.0,263650.0] ||  -> subclass(complement(symmetrization_of(complement(inverse(identity_relation)))),inverse(identity_relation))*.
% 299.72/300.38  267563[5:Res:264356.0,263650.0] ||  -> subclass(complement(successor(complement(inverse(identity_relation)))),inverse(identity_relation))*.
% 299.72/300.38  267517[22:MRR:31908.2,267515.0] || equal(compose(identity_relation,identity_relation),identity_relation)**+ -> equal(cross_product(u,u),identity_relation)**.
% 299.72/300.38  267629[9:MRR:267627.1,168280.0] inductive(symmetric_difference(universal_class,complement(symmetrization_of(identity_relation)))) ||  -> .
% 299.72/300.38  267557[5:Res:263738.0,263650.0] ||  -> subclass(symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.72/300.38  267581[9:Res:230401.0,263650.0] ||  -> subclass(regular(complement(inverse(identity_relation))),inverse(identity_relation))*.
% 299.72/300.38  267579[20:Res:212340.0,263650.0] ||  -> subclass(singleton(regular(symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.72/300.38  267516[22:MRR:26497.2,267515.0] || subclass(compose(identity_relation,identity_relation),identity_relation)*+ -> equal(cross_product(u,u),identity_relation)**.
% 299.72/300.38  263650[5:SpR:145868.1,263414.0] || subclass(u,symmetrization_of(identity_relation))* -> subclass(u,inverse(identity_relation)).
% 299.72/300.38  267521[22:Rew:22454.0,267520.1] || equal(compose(identity_relation,identity_relation),identity_relation)**+ -> transitive(universal_class,u)*.
% 299.72/300.38  267527[22:MRR:267522.1,5184.0] || equal(compose_class(identity_relation),domain_relation) -> transitive(universal_class,u)*.
% 299.72/300.38  267519[22:Rew:22454.0,267518.1] || subclass(compose(identity_relation,identity_relation),identity_relation)*+ -> transitive(universal_class,u)*.
% 299.72/300.38  267515[22:Spt:38773.0,38773.1] || transitive(regular(cross_product(u,u)),u)* -> equal(cross_product(u,u),identity_relation).
% 299.72/300.38  267391[9:SoR:267370.0,166138.1] || equal(complement(union(complement(inverse(identity_relation)),u)),universal_class)** -> .
% 299.72/300.38  267240[9:SoR:267225.0,166138.1] || equal(complement(union(u,complement(inverse(identity_relation)))),universal_class)** -> .
% 299.72/300.38  267469[20:SpL:114.0,267457.0] || equal(symmetrization_of(inverse(identity_relation)),identity_relation)** -> .
% 299.72/300.38  267467[20:SpL:44.0,267457.0] || equal(successor(inverse(identity_relation)),identity_relation)** -> .
% 299.72/300.38  267457[20:SpL:27.0,265414.0] || equal(union(inverse(identity_relation),u),identity_relation)** -> .
% 299.72/300.38  265414[20:Res:263560.1,255961.0] || equal(complement(intersection(complement(inverse(identity_relation)),u)),identity_relation)** -> .
% 299.72/300.38  267415[20:SpL:27.0,265413.0] || equal(union(u,inverse(identity_relation)),identity_relation)** -> .
% 299.72/300.38  265413[20:Res:263560.1,249089.0] || equal(complement(intersection(u,complement(inverse(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  265090[17:Res:263560.1,213923.0] || equal(complement(rotate(domain_relation)),identity_relation)**+ -> equal(identity_relation,u)*.
% 299.72/300.38  267370[9:MRR:267358.1,189081.0] inductive(complement(union(complement(inverse(identity_relation)),u))) ||  -> .
% 299.72/300.38  267368[9:MRR:267351.1,168275.0] || equal(union(complement(inverse(identity_relation)),u),identity_relation)** -> .
% 299.72/300.38  264271[5:SpR:124149.0,264089.0] ||  -> subclass(complement(union(complement(inverse(identity_relation)),u)),symmetrization_of(identity_relation))*.
% 299.72/300.38  28044[3:Res:141.0,3692.1] inductive(rest_of(u)) || well_ordering(v,cross_product(universal_class,universal_class)) -> member(least(v,rest_of(u)),rest_of(u))*.
% 299.72/300.38  267313[7:MRR:267297.1,228790.0] || equal(union(complement(singleton(identity_relation)),u),identity_relation)** -> .
% 299.72/300.38  264270[7:SpR:189445.0,264089.0] ||  -> subclass(complement(union(complement(singleton(identity_relation)),u)),singleton(identity_relation))*.
% 299.72/300.38  263697[5:SpR:124149.0,263405.0] ||  -> subclass(intersection(complement(symmetrization_of(identity_relation)),u),complement(inverse(identity_relation)))*.
% 299.72/300.38  267225[9:MRR:267213.1,189081.0] inductive(complement(union(u,complement(inverse(identity_relation))))) ||  -> .
% 299.72/300.38  28045[3:Res:93.0,3692.1] inductive(compose_class(u)) || well_ordering(v,cross_product(universal_class,universal_class)) -> member(least(v,compose_class(u)),compose_class(u))*.
% 299.72/300.38  267223[9:MRR:267206.1,168275.0] || equal(union(u,complement(inverse(identity_relation))),identity_relation)** -> .
% 299.72/300.38  263211[5:SpR:124149.0,262795.0] ||  -> subclass(complement(union(u,complement(inverse(identity_relation)))),symmetrization_of(identity_relation))*.
% 299.72/300.38  267177[7:MRR:267161.1,228790.0] || equal(union(u,complement(singleton(identity_relation))),identity_relation)** -> .
% 299.72/300.38  263210[7:SpR:189445.0,262795.0] ||  -> subclass(complement(union(u,complement(singleton(identity_relation)))),singleton(identity_relation))*.
% 299.72/300.38  8099[5:Res:764.2,5405.0] || member(u,universal_class) subclass(universal_class,regular(v)) member(power_class(u),v)* -> equal(v,identity_relation).
% 299.72/300.38  262110[5:SpR:124149.0,261657.0] ||  -> subclass(intersection(u,complement(symmetrization_of(identity_relation))),complement(inverse(identity_relation)))*.
% 299.72/300.38  266923[20:Res:7.1,265641.0] || equal(complement(complement(symmetrization_of(identity_relation))),regular(inverse(identity_relation)))** -> .
% 299.72/300.38  266883[20:Res:7.1,265640.0] || equal(complement(complement(symmetrization_of(identity_relation))),complement(inverse(identity_relation)))** -> .
% 299.72/300.38  265658[20:Res:265633.0,195267.1] || equal(rest_of(regular(complement(complement(symmetrization_of(identity_relation))))),rest_relation)** -> .
% 299.72/300.38  8100[5:Res:765.2,5405.0] || member(u,universal_class) subclass(universal_class,regular(v)) member(sum_class(u),v)* -> equal(v,identity_relation).
% 299.72/300.38  265656[20:Res:265633.0,203295.1] || equal(singleton(regular(complement(complement(symmetrization_of(identity_relation))))),identity_relation)** -> .
% 299.72/300.38  265648[20:Res:265633.0,257663.1] || equal(power_class(regular(complement(complement(symmetrization_of(identity_relation))))),universal_class)** -> .
% 299.72/300.38  265647[20:Res:265633.0,257674.1] || equal(sum_class(regular(complement(complement(symmetrization_of(identity_relation))))),universal_class)** -> .
% 299.72/300.38  265641[20:MRR:265635.1,265635.2,265205.0,212336.0] || subclass(complement(complement(symmetrization_of(identity_relation))),regular(inverse(identity_relation)))* -> .
% 299.72/300.38  34161[0:Res:3654.2,142.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))*+ subclass(composition_function,rest_of(w)) -> member(u,domain_of(w))*.
% 299.72/300.38  266881[20:Res:153612.1,265640.0] || equal(complement(complement(complement(symmetrization_of(identity_relation)))),universal_class)** -> .
% 299.72/300.38  265640[20:MRR:265636.1,265205.0] || subclass(complement(complement(symmetrization_of(identity_relation))),complement(inverse(identity_relation)))* -> .
% 299.72/300.38  263897[5:SpR:124149.0,263745.0] ||  -> subclass(complement(complement(complement(symmetrization_of(identity_relation)))),complement(inverse(identity_relation)))*.
% 299.72/300.38  266552[5:Res:262535.0,202409.1] inductive(intersection(restrict(identity_relation,u,v),w)) ||  -> .
% 299.72/300.38  123566[0:Res:53.0,3336.0] || member(u,v)*+ -> equal(ordered_pair(first(ordered_pair(u,omega)),second(ordered_pair(u,omega))),ordered_pair(u,omega))**.
% 299.72/300.38  262535[0:SpR:30.0,262411.0] ||  -> subclass(intersection(restrict(u,v,w),x),u)*.
% 299.72/300.38  266420[5:Res:261700.0,202409.1] inductive(restrict(intersection(identity_relation,u),v,w)) ||  -> .
% 299.72/300.38  261700[0:SpR:30.0,261510.0] ||  -> subclass(restrict(intersection(u,v),w,x),u)*.
% 299.72/300.38  266175[5:Res:261130.0,202409.1] inductive(restrict(intersection(u,identity_relation),v,w)) ||  -> .
% 299.72/300.38  253065[0:SpR:249206.0,249208.0] ||  -> equal(union(complement(power_class(u)),image(element_relation,power_class(v))),complement(intersection(power_class(u),power_class(complement(power_class(v))))))**.
% 299.72/300.38  261130[0:SpR:30.0,260940.0] ||  -> subclass(restrict(intersection(u,v),w,x),v)*.
% 299.72/300.38  266019[5:Res:262737.0,202409.1] inductive(complement(complement(restrict(identity_relation,u,v)))) ||  -> .
% 299.72/300.38  262737[0:SpR:30.0,262607.0] ||  -> subclass(complement(complement(restrict(u,v,w))),u)*.
% 299.72/300.38  265875[5:Res:262147.0,202409.1] inductive(restrict(complement(complement(identity_relation)),u,v)) ||  -> .
% 299.72/300.38  252738[0:SpR:249206.0,249200.0] ||  -> equal(union(image(element_relation,power_class(u)),complement(power_class(v))),complement(intersection(power_class(complement(power_class(u))),power_class(v))))**.
% 299.72/300.38  262147[0:SpR:30.0,261657.0] ||  -> subclass(restrict(complement(complement(u)),v,w),u)*.
% 299.72/300.38  265660[20:Res:265633.0,195144.0] ||  -> equal(domain_of(regular(complement(complement(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.72/300.38  265659[20:Res:265633.0,195164.0] ||  -> equal(cantor(regular(complement(complement(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.72/300.38  265674[20:SoR:265655.0,72.1] one_to_one(regular(complement(complement(symmetrization_of(identity_relation))))) ||  -> .
% 299.72/300.38  220051[15:Rew:220048.1,210180.2] one_to_one(flip(cross_product(u,universal_class))) || subclass(universal_class,v) -> maps(flip(cross_product(u,universal_class)),universal_class,v)*.
% 299.72/300.38  265655[20:Res:265633.0,210026.1] function(regular(complement(complement(symmetrization_of(identity_relation))))) ||  -> .
% 299.72/300.38  265633[20:Res:265424.0,29469.0] ||  -> member(regular(complement(complement(symmetrization_of(identity_relation)))),universal_class)*.
% 299.72/300.38  265424[20:MRR:222311.0,265205.0] ||  -> member(regular(complement(complement(symmetrization_of(identity_relation)))),inverse(identity_relation))*.
% 299.72/300.38  265219[9:Res:263560.1,256203.0] || equal(complement(regular(complement(inverse(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  219949[15:Rew:219946.1,210184.2] one_to_one(restrict(element_relation,universal_class,u)) || subclass(universal_class,v) -> maps(restrict(element_relation,universal_class,u),universal_class,v)*.
% 299.72/300.38  265199[13:Res:263560.1,173146.0] || equal(complement(complement(compose(element_relation,universal_class))),identity_relation)** -> .
% 299.72/300.38  265089[17:Res:263560.1,213928.0] || equal(complement(rotate(cross_product(universal_class,universal_class))),identity_relation)** -> .
% 299.72/300.38  265457[5:MRR:264970.1,203246.1] || equal(complement(u),identity_relation)** -> inductive(u).
% 299.72/300.38  3580[0:Res:130.2,729.1] inductive(not_well_ordering(u,omega)) || connected(u,omega) -> well_ordering(u,omega) equal(not_well_ordering(u,omega),omega)**.
% 299.72/300.38  265415[20:Res:263560.1,256186.0] || equal(complement(regular(inverse(identity_relation))),identity_relation)** -> .
% 299.72/300.38  265207[16:Res:263560.1,255817.0] || equal(complement(complement(range_of(identity_relation))),identity_relation)** -> .
% 299.72/300.38  265205[20:Res:263560.1,256043.0] || equal(complement(complement(symmetrization_of(identity_relation))),identity_relation)** -> .
% 299.72/300.38  265189[5:Res:263560.1,28237.0] || equal(complement(complement(complement(element_relation))),identity_relation)** -> .
% 299.72/300.38  26600[5:SpR:5392.2,49.1] inductive(singleton(u)) || member(u,universal_class) -> member(u,domain_of(successor_relation)) subclass(range_of(identity_relation),singleton(u))*.
% 299.72/300.38  265188[7:Res:263560.1,125383.0] || equal(complement(complement(complement(successor_relation))),identity_relation)** -> .
% 299.72/300.38  265448[17:MRR:216589.1,265196.1] || equal(complement(complement(rest_relation)),identity_relation)** -> .
% 299.72/300.38  265099[17:Res:263560.1,214016.0] || equal(complement(flip(element_relation)),identity_relation)** -> .
% 299.72/300.38  265098[17:Res:263560.1,213986.0] || equal(complement(flip(identity_relation)),identity_relation)** -> .
% 299.72/300.38  28995[5:Res:3366.1,5328.1] function(u) || member(cross_product(universal_class,universal_class),universal_class) -> equal(u,identity_relation) member(least(element_relation,u),u)*.
% 299.72/300.38  265091[17:Res:263560.1,221288.0] || equal(complement(rotate(element_relation)),identity_relation)** -> .
% 299.72/300.38  265088[17:Res:263560.1,213884.0] || equal(complement(rotate(identity_relation)),identity_relation)** -> .
% 299.72/300.38  263560[5:Rew:118446.0,263379.1] || equal(complement(u),identity_relation) -> subclass(v,u)*.
% 299.72/300.38  263389[5:SpR:119684.0,263102.0] ||  -> subclass(intersection(symmetric_difference(universal_class,u),v),complement(u))*.
% 299.72/300.38  250837[5:Rew:249197.0,249783.0] || member(regular(power_class(complement(power_class(u)))),image(element_relation,power_class(u)))* -> equal(power_class(complement(power_class(u))),identity_relation).
% 299.72/300.38  261641[5:SpR:119684.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,v)),complement(v))*.
% 299.72/300.38  264411[0:SpR:249204.0,264294.0] ||  -> subclass(complement(symmetrization_of(complement(power_class(u)))),power_class(u))*.
% 299.72/300.38  264357[0:SpR:249204.0,264292.0] ||  -> subclass(complement(successor(complement(power_class(u)))),power_class(u))*.
% 299.72/300.38  264600[9:SoR:264592.0,166138.1] || equal(complement(symmetrization_of(complement(inverse(identity_relation)))),universal_class)** -> .
% 299.72/300.38  183412[5:Res:176.0,5490.0] || subclass(universal_class,u)+ well_ordering(omega,u)* -> equal(integer_of(ordered_pair(singleton(v),least(omega,universal_class))),identity_relation)**.
% 299.72/300.38  264542[9:SoR:264537.0,166138.1] || equal(complement(successor(complement(inverse(identity_relation)))),universal_class)** -> .
% 299.72/300.38  264592[9:MRR:264587.1,189081.0] inductive(complement(symmetrization_of(complement(inverse(identity_relation))))) ||  -> .
% 299.72/300.38  264591[9:MRR:264580.1,168275.0] || equal(symmetrization_of(complement(inverse(identity_relation))),identity_relation)** -> .
% 299.72/300.38  264410[5:SpR:124149.0,264294.0] ||  -> subclass(complement(symmetrization_of(complement(inverse(identity_relation)))),symmetrization_of(identity_relation))*.
% 299.72/300.38  28651[0:Res:7.1,724.0] || equal(flip(u),cross_product(cross_product(universal_class,universal_class),universal_class))* -> equal(cross_product(cross_product(universal_class,universal_class),universal_class),flip(u)).
% 299.72/300.38  264563[7:MRR:264550.1,228790.0] || equal(symmetrization_of(complement(singleton(identity_relation))),identity_relation)** -> .
% 299.72/300.38  264409[7:SpR:189445.0,264294.0] ||  -> subclass(complement(symmetrization_of(complement(singleton(identity_relation)))),singleton(identity_relation))*.
% 299.72/300.38  264537[9:MRR:264532.1,189081.0] inductive(complement(successor(complement(inverse(identity_relation))))) ||  -> .
% 299.72/300.38  264536[9:MRR:264525.1,168275.0] || equal(successor(complement(inverse(identity_relation))),identity_relation)** -> .
% 299.72/300.38  28670[0:Res:7.1,725.0] || equal(rotate(u),cross_product(cross_product(universal_class,universal_class),universal_class))* -> equal(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(u)).
% 299.72/300.38  264356[5:SpR:124149.0,264292.0] ||  -> subclass(complement(successor(complement(inverse(identity_relation)))),symmetrization_of(identity_relation))*.
% 299.72/300.38  264512[7:MRR:264499.1,228790.0] || equal(successor(complement(singleton(identity_relation))),identity_relation)** -> .
% 299.72/300.38  264355[7:SpR:189445.0,264292.0] ||  -> subclass(complement(successor(complement(singleton(identity_relation)))),singleton(identity_relation))*.
% 299.72/300.38  263814[5:SpR:124149.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,symmetrization_of(identity_relation)),complement(inverse(identity_relation)))*.
% 299.72/300.38  118523[5:Rew:118446.0,23064.0] ||  -> equal(symmetric_difference(complement(singleton(identity_relation)),complement(image(successor_relation,universal_class))),union(complement(singleton(identity_relation)),complement(image(successor_relation,universal_class))))**.
% 299.72/300.38  264294[0:SpR:114.0,264089.0] ||  -> subclass(complement(symmetrization_of(u)),complement(u))*.
% 299.72/300.38  264292[0:SpR:44.0,264089.0] ||  -> subclass(complement(successor(u)),complement(u))*.
% 299.72/300.38  264089[0:SpR:27.0,263450.0] ||  -> subclass(complement(union(u,v)),complement(u))*.
% 299.72/300.38  264130[5:Res:263450.0,202409.1] inductive(complement(complement(intersection(identity_relation,u)))) ||  -> .
% 299.72/300.38  8238[0:Rew:29.0,8196.0] ||  -> subclass(restrict(u,v,w),x) member(not_subclass_element(restrict(u,v,w),x),cross_product(v,w))*.
% 299.72/300.38  263450[0:SpR:222089.0,263102.0] ||  -> subclass(complement(complement(intersection(u,v))),u)*.
% 299.72/300.38  263961[5:Res:263745.0,202409.1] inductive(complement(complement(complement(complement(identity_relation))))) ||  -> .
% 299.72/300.38  263745[0:SpR:222089.0,263405.0] ||  -> subclass(complement(complement(complement(complement(u)))),u)*.
% 299.72/300.38  263781[5:Res:263405.0,202409.1] inductive(intersection(complement(complement(identity_relation)),u)) ||  -> .
% 299.72/300.38  28309[0:Res:7.1,3691.0] || equal(u,v)*+ well_ordering(w,u)* -> subclass(v,x)* member(least(w,v),v)*.
% 299.72/300.38  263872[5:Res:263738.0,202409.1] inductive(symmetric_difference(universal_class,complement(identity_relation))) ||  -> .
% 299.72/300.38  263738[5:SpR:119684.0,263405.0] ||  -> subclass(symmetric_difference(universal_class,complement(u)),u)*.
% 299.72/300.38  263405[0:SpR:222089.0,263102.0] ||  -> subclass(intersection(complement(complement(u)),v),u)*.
% 299.72/300.38  263492[5:Res:263102.0,202409.1] inductive(intersection(intersection(identity_relation,u),v)) ||  -> .
% 299.72/300.38  7309[3:SpR:30.0,4977.1] || asymmetric(cross_product(u,v),w) -> section(restrict(inverse(cross_product(u,v)),u,v),w,w)*.
% 299.72/300.38  263689[9:MRR:263685.1,168280.0] inductive(complement(complement(symmetrization_of(identity_relation)))) ||  -> .
% 299.72/300.38  263652[5:SpR:222089.0,263414.0] ||  -> subclass(complement(complement(symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.72/300.38  263671[9:MRR:263665.1,168280.0] inductive(intersection(symmetrization_of(identity_relation),u)) ||  -> .
% 299.72/300.38  263414[5:SpR:222118.0,263102.0] ||  -> subclass(intersection(symmetrization_of(identity_relation),u),inverse(identity_relation))*.
% 299.72/300.38  9102[0:SpR:598.0,133.1] || section(cross_product(u,v),w,x) -> subclass(domain_of(restrict(cross_product(x,w),u,v)),w)*.
% 299.72/300.38  263102[0:Obv:263080.0] ||  -> subclass(intersection(intersection(u,v),w),u)*.
% 299.72/300.38  263234[0:SpR:114.0,262795.0] ||  -> subclass(complement(symmetrization_of(u)),complement(inverse(u)))*.
% 299.72/300.38  263232[0:SpR:44.0,262795.0] ||  -> subclass(complement(successor(u)),complement(singleton(u)))*.
% 299.72/300.38  262795[0:SpR:27.0,262607.0] ||  -> subclass(complement(union(u,v)),complement(v))*.
% 299.72/300.38  8309[0:Res:366.1,22.0] ||  -> subclass(intersection(intersection(u,v),w),x) member(not_subclass_element(intersection(intersection(u,v),w),x),u)*.
% 299.72/300.38  262836[5:Res:262607.0,202409.1] inductive(complement(complement(intersection(u,identity_relation)))) ||  -> .
% 299.72/300.38  262607[0:SpR:222089.0,262411.0] ||  -> subclass(complement(complement(intersection(u,v))),v)*.
% 299.72/300.38  262649[5:Res:262411.0,202409.1] inductive(intersection(intersection(u,identity_relation),v)) ||  -> .
% 299.72/300.38  262411[0:Obv:262389.0] ||  -> subclass(intersection(intersection(u,v),w),v)*.
% 299.72/300.38  8310[0:Res:366.1,23.0] ||  -> subclass(intersection(intersection(u,v),w),x) member(not_subclass_element(intersection(intersection(u,v),w),x),v)*.
% 299.72/300.38  262233[9:MRR:262231.1,168280.0] inductive(restrict(symmetrization_of(identity_relation),u,v)) ||  -> .
% 299.72/300.38  261827[5:SpR:30.0,261666.0] ||  -> subclass(restrict(symmetrization_of(identity_relation),u,v),inverse(identity_relation))*.
% 299.72/300.38  262190[5:Res:261657.0,202409.1] inductive(intersection(u,complement(complement(identity_relation)))) ||  -> .
% 299.72/300.38  261657[0:SpR:222089.0,261510.0] ||  -> subclass(intersection(u,complement(complement(v))),v)*.
% 299.72/300.38  8307[0:Res:366.1,2.0] || subclass(u,v) -> subclass(intersection(u,w),x) member(not_subclass_element(intersection(u,w),x),v)*.
% 299.72/300.38  261743[5:Res:261510.0,202409.1] inductive(intersection(u,intersection(identity_relation,v))) ||  -> .
% 299.72/300.38  261848[9:MRR:261842.1,168280.0] inductive(intersection(u,symmetrization_of(identity_relation))) ||  -> .
% 299.72/300.38  261666[5:SpR:222118.0,261510.0] ||  -> subclass(intersection(u,symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.38  261510[0:Obv:261485.0] ||  -> subclass(intersection(u,intersection(v,w)),v)*.
% 299.72/300.38  8215[0:Res:356.1,22.0] ||  -> subclass(intersection(u,intersection(v,w)),x) member(not_subclass_element(intersection(u,intersection(v,w)),x),v)*.
% 299.72/300.38  261304[5:Res:261060.0,202409.1] inductive(intersection(u,restrict(identity_relation,v,w))) ||  -> .
% 299.72/300.38  261060[0:SpR:30.0,260940.0] ||  -> subclass(intersection(u,restrict(v,w,x)),v)*.
% 299.72/300.38  261173[5:Res:260940.0,202409.1] inductive(intersection(u,intersection(v,identity_relation))) ||  -> .
% 299.72/300.38  260940[0:Obv:260915.0] ||  -> subclass(intersection(u,intersection(v,w)),w)*.
% 299.72/300.38  8216[0:Res:356.1,23.0] ||  -> subclass(intersection(u,intersection(v,w)),x) member(not_subclass_element(intersection(u,intersection(v,w)),x),w)*.
% 299.72/300.38  260583[5:Res:260367.1,202409.1] inductive(intersection(u,v)) || subclass(v,identity_relation)* -> .
% 299.72/300.38  260493[5:SpR:119684.0,260367.1] || subclass(universal_class,u) -> subclass(symmetric_difference(universal_class,v),u)*.
% 299.72/300.38  260484[5:SpR:22519.0,260367.1] || subclass(universal_class,u) -> subclass(cantor(v),u)*.
% 299.72/300.38  260367[0:Obv:260349.1] || subclass(u,v) -> subclass(intersection(w,u),v)*.
% 299.72/300.38  8213[0:Res:356.1,2.0] || subclass(u,v) -> subclass(intersection(w,u),x) member(not_subclass_element(intersection(w,u),x),v)*.
% 299.72/300.38  227206[5:Res:227090.0,5229.1] inductive(complement(domain_of(u))) ||  -> member(identity_relation,complement(cantor(u)))*.
% 299.72/300.38  259983[11:SpL:114.0,226840.0] || equal(complement(intersection(symmetrization_of(u),power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  260152[11:SpL:189431.0,259981.0] || equal(complement(intersection(singleton(identity_relation),power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  259981[11:SpL:44.0,226840.0] || equal(complement(intersection(successor(u),power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  8430[0:Res:766.2,2.0] || subclass(u,v)*+ subclass(v,w)* -> subclass(u,x) member(not_subclass_element(u,x),w)*.
% 299.72/300.38  226840[11:Rew:22481.0,226834.0] || equal(complement(intersection(union(u,v),power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  258801[17:SpL:647.0,257705.0] || equal(flip(ordered_pair(singleton(singleton(singleton(u))),identity_relation)),domain_relation)** -> .
% 299.72/300.38  258795[17:SpL:647.0,257683.0] || equal(rotate(ordered_pair(singleton(singleton(singleton(identity_relation))),u)),domain_relation)** -> .
% 299.72/300.38  257697[17:SpL:647.0,256437.0] || subclass(domain_relation,flip(ordered_pair(singleton(singleton(singleton(u))),identity_relation)))* -> .
% 299.72/300.38  8441[0:Res:766.2,944.0] || subclass(u,symmetric_difference(v,w)) -> subclass(u,x) member(not_subclass_element(u,x),union(v,w))*.
% 299.72/300.38  259838[17:Res:7.1,259822.0] || equal(rotate(singleton(singleton(singleton(singleton(singleton(identity_relation)))))),domain_relation)** -> .
% 299.72/300.38  259822[17:SpL:647.0,257677.0] || subclass(domain_relation,rotate(singleton(singleton(singleton(singleton(singleton(identity_relation)))))))* -> .
% 299.72/300.38  257677[17:SpL:647.0,256436.0] || subclass(domain_relation,rotate(ordered_pair(singleton(singleton(singleton(identity_relation))),u)))* -> .
% 299.72/300.38  256102[5:Obv:256099.1] || equal(rest_of(complement(cross_product(singleton(singleton(u)),universal_class))),rest_relation)** -> .
% 299.72/300.38  32865[0:Obv:32860.1] || member(u,v) -> equal(not_subclass_element(unordered_pair(u,w),v),w)** subclass(unordered_pair(u,w),v).
% 299.72/300.38  244084[5:Res:763.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(singleton(u)),universal_class))))* -> .
% 299.72/300.38  244083[5:Res:119650.1,242218.0] || equal(cantor(complement(cross_product(singleton(singleton(u)),universal_class))),universal_class)** -> .
% 299.72/300.38  242207[5:Res:763.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(singleton(u)),universal_class))))* -> .
% 299.72/300.38  257341[5:SpR:257295.1,865.0] inductive(apply(choice,omega)) ||  -> equal(apply(choice,omega),identity_relation)**.
% 299.72/300.38  32866[0:Obv:32859.1] || member(u,v) -> equal(not_subclass_element(unordered_pair(w,u),v),w)** subclass(unordered_pair(w,u),v).
% 299.72/300.38  259600[5:Res:7.1,256433.0] || equal(not_subclass_element(u,v),u)** -> subclass(u,v).
% 299.72/300.38  259602[5:Res:52.1,256433.0] inductive(not_subclass_element(omega,u)) ||  -> subclass(omega,u)*.
% 299.72/300.38  256433[5:MRR:256380.2,205351.0] || subclass(u,not_subclass_element(u,v))* -> subclass(u,v).
% 299.72/300.38  259229[5:Res:7.1,256435.0] || equal(unordered_pair(u,singleton(v)),ordered_pair(u,v))** -> .
% 299.72/300.38  32843[0:EqF:1044.1,1044.2] || equal(u,v) -> subclass(unordered_pair(v,u),w) equal(not_subclass_element(unordered_pair(v,u),w),v)**.
% 299.72/300.38  259472[5:Res:7.1,259231.0] || equal(singleton(singleton(singleton(u))),singleton(singleton(u)))** -> .
% 299.72/300.38  259473[5:Res:4733.1,259231.0] || member(singleton(singleton(u)),singleton(singleton(u)))* -> .
% 299.72/300.38  259231[5:Rew:647.0,259217.0] || subclass(singleton(singleton(singleton(u))),singleton(singleton(u)))* -> .
% 299.72/300.38  259258[5:Res:7.1,259216.0] || equal(unordered_pair(u,identity_relation),ordered_pair(u,universal_class))** -> .
% 299.72/300.38  30856[0:MRR:30836.0,29469.1] || member(u,union(v,w)) -> member(u,intersection(v,w))* member(u,symmetric_difference(v,w)).
% 299.72/300.38  259216[5:SpL:233410.0,256435.0] || subclass(ordered_pair(u,universal_class),unordered_pair(u,identity_relation))* -> .
% 299.72/300.38  259232[5:Rew:13.0,259226.0,233410.0,259226.0] || subclass(singleton(singleton(identity_relation)),singleton(identity_relation))* -> .
% 299.72/300.38  256435[5:MRR:256392.1,202156.0] || subclass(ordered_pair(u,v),unordered_pair(u,singleton(v)))* -> .
% 299.72/300.38  259190[7:Res:259157.0,25.1] || member(singleton(identity_relation),singleton(identity_relation))* -> .
% 299.72/300.38  28057[3:Res:7.1,3692.1] inductive(u) || equal(v,u)*+ well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.72/300.38  259157[7:MRR:259156.1,201946.0] ||  -> member(singleton(identity_relation),complement(singleton(identity_relation)))*.
% 299.72/300.38  256424[5:MRR:256355.0,16080.1] ||  -> member(complement(u),u)* equal(singleton(complement(u)),identity_relation).
% 299.72/300.38  256334[5:Obv:256328.1] || equal(singleton(u),u)** -> equal(singleton(u),identity_relation).
% 299.72/300.38  256317[5:Obv:256299.1] || subclass(singleton(u),u)* -> equal(singleton(u),identity_relation).
% 299.72/300.38  8397[5:Res:5214.2,595.0] || subclass(u,restrict(v,w,x))*+ -> equal(u,identity_relation) member(regular(u),cross_product(w,x))*.
% 299.72/300.38  258449[5:Res:16080.1,257674.1] || equal(sum_class(u),universal_class)** -> equal(singleton(u),identity_relation).
% 299.72/300.38  258448[5:Res:123649.1,257674.1] || equal(sum_class(u),universal_class) -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  258422[5:Res:29542.1,257674.1] || equal(sum_class(regular(u)),universal_class)** -> equal(u,identity_relation).
% 299.72/300.38  257884[5:Res:16080.1,257663.1] || equal(power_class(u),universal_class)** -> equal(singleton(u),identity_relation).
% 299.72/300.38  29205[5:Obv:29183.0] ||  -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation) member(v,unordered_pair(u,v))*.
% 299.72/300.38  257883[5:Res:123649.1,257663.1] || equal(power_class(u),universal_class) -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  257857[5:Res:29542.1,257663.1] || equal(power_class(regular(u)),universal_class)** -> equal(u,identity_relation).
% 299.72/300.38  257705[17:Res:7.1,256437.0] || equal(flip(ordered_pair(ordered_pair(u,v),identity_relation)),domain_relation)** -> .
% 299.72/300.38  257683[17:Res:7.1,256436.0] || equal(rotate(ordered_pair(ordered_pair(u,identity_relation),v)),domain_relation)** -> .
% 299.72/300.38  29204[5:Obv:29191.0] ||  -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation) member(u,unordered_pair(u,v))*.
% 299.72/300.38  258480[9:Res:207784.0,257674.1] || equal(sum_class(regular(complement(symmetrization_of(identity_relation)))),universal_class)** -> .
% 299.72/300.38  258477[10:Res:208126.0,257674.1] || equal(sum_class(regular(complement(power_class(universal_class)))),universal_class)** -> .
% 299.72/300.38  258475[11:Res:207942.0,257674.1] || equal(sum_class(regular(complement(power_class(identity_relation)))),universal_class)** -> .
% 299.72/300.38  258450[5:Res:641.0,257674.1] || equal(sum_class(ordered_pair(u,v)),universal_class)** -> .
% 299.72/300.38  26506[5:MRR:26505.1,5184.0] || subclass(u,v) -> equal(cross_product(v,u),identity_relation) section(regular(cross_product(v,u)),u,v)*.
% 299.72/300.38  258415[5:Res:12.0,257674.1] || equal(sum_class(unordered_pair(u,v)),universal_class)** -> .
% 299.72/300.38  258509[5:Res:212362.0,257674.1] || equal(sum_class(least(element_relation,omega)),universal_class)** -> .
% 299.72/300.38  258482[20:Res:212353.0,257674.1] || equal(sum_class(regular(symmetrization_of(identity_relation))),universal_class)** -> .
% 299.72/300.38  258413[5:Res:176.0,257674.1] || equal(sum_class(singleton(u)),universal_class)** -> .
% 299.72/300.38  8164[0:Res:943.1,2.0] || member(u,symmetric_difference(v,w))* subclass(complement(intersection(v,w)),x)*+ -> member(u,x)*.
% 299.72/300.38  258418[5:Res:205135.0,257674.1] || equal(sum_class(power_class(identity_relation)),universal_class)** -> .
% 299.72/300.38  258414[5:Res:53.0,257674.1] || equal(sum_class(omega),universal_class)** -> .
% 299.72/300.38  257674[5:Res:7.1,256426.1] || equal(sum_class(u),universal_class) member(u,universal_class)* -> .
% 299.72/300.38  257915[9:Res:207784.0,257663.1] || equal(power_class(regular(complement(symmetrization_of(identity_relation)))),universal_class)** -> .
% 299.72/300.38  8057[5:Res:5404.2,2.0] || well_ordering(u,universal_class) subclass(v,w) -> equal(v,identity_relation) member(least(u,v),w)*.
% 299.72/300.38  257912[10:Res:208126.0,257663.1] || equal(power_class(regular(complement(power_class(universal_class)))),universal_class)** -> .
% 299.72/300.38  257910[11:Res:207942.0,257663.1] || equal(power_class(regular(complement(power_class(identity_relation)))),universal_class)** -> .
% 299.72/300.38  257885[5:Res:641.0,257663.1] || equal(power_class(ordered_pair(u,v)),universal_class)** -> .
% 299.72/300.38  257850[5:Res:12.0,257663.1] || equal(power_class(unordered_pair(u,v)),universal_class)** -> .
% 299.72/300.38  8060[5:Res:5404.2,23.0] || well_ordering(u,universal_class) -> equal(intersection(v,w),identity_relation) member(least(u,intersection(v,w)),w)*.
% 299.72/300.38  257941[5:Res:212362.0,257663.1] || equal(power_class(least(element_relation,omega)),universal_class)** -> .
% 299.72/300.38  257917[20:Res:212353.0,257663.1] || equal(power_class(regular(symmetrization_of(identity_relation))),universal_class)** -> .
% 299.72/300.38  257848[5:Res:176.0,257663.1] || equal(power_class(singleton(u)),universal_class)** -> .
% 299.72/300.38  257853[5:Res:205135.0,257663.1] || equal(power_class(power_class(identity_relation)),universal_class)** -> .
% 299.72/300.38  8059[5:Res:5404.2,22.0] || well_ordering(u,universal_class) -> equal(intersection(v,w),identity_relation) member(least(u,intersection(v,w)),v)*.
% 299.72/300.38  257849[5:Res:53.0,257663.1] || equal(power_class(omega),universal_class)** -> .
% 299.72/300.38  257663[5:Res:7.1,256425.1] || equal(power_class(u),universal_class) member(u,universal_class)* -> .
% 299.72/300.38  257534[5:MRR:257499.1,87301.0] || well_ordering(universal_class,regular(ordered_pair(singleton(singleton(u)),v)))* -> .
% 299.72/300.38  257731[15:SpR:191728.0,257531.0] ||  -> equal(regular(singleton(singleton(identity_relation))),singleton(identity_relation))**.
% 299.72/300.38  32674[5:EqF:5380.1,5380.2] || equal(u,v) -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v)**.
% 299.72/300.38  257531[5:Rew:647.0,257530.0] ||  -> equal(regular(singleton(singleton(singleton(u)))),singleton(singleton(u)))**.
% 299.72/300.38  257712[17:Res:7.1,257702.0] || equal(flip(ordered_pair(singleton(singleton(identity_relation)),identity_relation)),domain_relation)** -> .
% 299.72/300.38  257702[17:SpL:233433.0,256437.0] || subclass(domain_relation,flip(ordered_pair(singleton(singleton(identity_relation)),identity_relation)))* -> .
% 299.72/300.38  256437[17:MRR:256377.1,202145.0] || subclass(domain_relation,flip(ordered_pair(ordered_pair(u,v),identity_relation)))* -> .
% 299.72/300.38  5464[5:Rew:5180.0,4816.1] || subclass(omega,unordered_pair(u,v))*+ -> equal(integer_of(w),identity_relation)** equal(w,v)* equal(w,u)*.
% 299.72/300.38  256436[17:MRR:256373.1,202145.0] || subclass(domain_relation,rotate(ordered_pair(ordered_pair(u,identity_relation),v)))* -> .
% 299.72/300.38  256426[5:MRR:256383.2,205353.1] || member(u,universal_class) subclass(universal_class,sum_class(u))* -> .
% 299.72/300.38  256425[5:MRR:256381.2,205349.1] || member(u,universal_class) subclass(universal_class,power_class(u))* -> .
% 299.72/300.38  125904[5:Res:5288.2,595.0] || subclass(omega,restrict(u,v,w))*+ -> equal(integer_of(x),identity_relation) member(x,cross_product(v,w))*.
% 299.72/300.38  257526[7:MRR:257477.1,189300.0] || equal(complement(regular(ordered_pair(identity_relation,u))),singleton(identity_relation))** -> .
% 299.72/300.38  257627[9:Res:7.1,256203.0] || equal(regular(complement(inverse(identity_relation))),complement(symmetrization_of(identity_relation)))** -> .
% 299.72/300.38  256203[9:MRR:256156.1,256156.2,203684.0,201884.0] || subclass(complement(symmetrization_of(identity_relation)),regular(complement(inverse(identity_relation))))* -> .
% 299.72/300.38  257619[5:MRR:257600.1,216861.0] || equal(apply(choice,omega),universal_class)** -> .
% 299.72/300.38  9000[5:Res:1013.1,5229.1] inductive(segment(u,v,w)) || section(u,singleton(w),v)* -> member(identity_relation,singleton(w)).
% 299.72/300.38  257304[5:MRR:201081.2,257295.0] || equal(u,universal_class) -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  257529[15:MRR:257500.1,199273.0] || well_ordering(universal_class,regular(ordered_pair(singleton(identity_relation),u)))* -> .
% 299.72/300.38  257525[14:MRR:257476.1,178298.0] || equal(complement(regular(ordered_pair(identity_relation,u))),omega)** -> .
% 299.72/300.38  47789[5:MRR:27972.0,47782.0] ||  -> equal(unordered_pair(u,singleton(v)),regular(ordered_pair(u,v)))** equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.72/300.38  257293[5:Res:7.1,256417.0] || equal(u,omega) -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  257295[5:Res:52.1,256417.0] inductive(u) ||  -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  257305[5:MRR:257301.0,202629.0] ||  -> equal(integer_of(complement(singleton(omega))),identity_relation)**.
% 299.72/300.38  256417[5:MRR:256390.2,205376.0] || subclass(omega,u)* -> equal(integer_of(u),identity_relation).
% 299.72/300.38  20569[0:Res:24.2,588.0] || member(u,complement(v)) member(u,complement(w)) member(u,union(w,v))* -> .
% 299.72/300.38  256775[9:Res:202851.1,256430.0] || equal(complement(regular(complement(symmetrization_of(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  256767[10:Res:202851.1,256429.0] || equal(complement(regular(complement(power_class(universal_class)))),identity_relation)** -> .
% 299.72/300.38  256759[11:Res:202851.1,256428.0] || equal(complement(regular(complement(power_class(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  256981[15:SpL:191728.0,256421.0] || well_ordering(universal_class,complement(singleton(identity_relation)))* -> .
% 299.72/300.38  251419[0:SpL:249204.0,588.0] || member(u,intersection(complement(v),power_class(w)))* member(u,union(v,complement(power_class(w)))) -> .
% 299.72/300.38  256421[5:MRR:256386.1,201946.0] || well_ordering(universal_class,complement(singleton(singleton(u))))* -> .
% 299.72/300.38  256414[5:MRR:256342.1,201946.0] || equal(complement(complement(singleton(u))),universal_class)** -> .
% 299.72/300.38  256774[9:Res:7.1,256430.0] || equal(regular(complement(symmetrization_of(identity_relation))),universal_class)** -> .
% 299.72/300.38  256751[17:Res:7.1,256427.0] || equal(singleton(singleton(singleton(identity_relation))),domain_relation)** -> .
% 299.72/300.38  251410[0:SpL:249204.0,588.0] || member(u,intersection(power_class(v),complement(w)))* member(u,union(complement(power_class(v)),w)) -> .
% 299.72/300.38  256716[20:Res:7.1,256423.0] || equal(regular(symmetrization_of(identity_relation)),inverse(identity_relation))** -> .
% 299.72/300.38  256711[20:Res:7.1,256422.0] || equal(regular(symmetrization_of(identity_relation)),symmetrization_of(identity_relation))** -> .
% 299.72/300.38  256520[5:Res:202851.1,256419.0] || equal(complement(least(element_relation,omega)),identity_relation)** -> .
% 299.72/300.38  256516[20:Res:202851.1,256418.0] || equal(complement(regular(symmetrization_of(identity_relation))),identity_relation)** -> .
% 299.72/300.38  195184[17:Rew:195144.1,20162.2] || member(u,universal_class) subclass(domain_relation,restrict(v,w,x))*+ -> member(ordered_pair(u,identity_relation),v)*.
% 299.72/300.38  256430[9:MRR:256396.1,207796.0] || subclass(universal_class,regular(complement(symmetrization_of(identity_relation))))* -> .
% 299.72/300.38  256429[10:MRR:256395.1,208137.0] || subclass(universal_class,regular(complement(power_class(universal_class))))* -> .
% 299.72/300.38  256428[11:MRR:256394.1,207955.0] || subclass(universal_class,regular(complement(power_class(identity_relation))))* -> .
% 299.72/300.38  256427[17:MRR:256385.1,201946.0] || subclass(domain_relation,singleton(singleton(singleton(identity_relation))))* -> .
% 299.72/300.38  7594[0:SpR:69.0,765.2] || member(image(u,singleton(v)),universal_class)*+ subclass(universal_class,w) -> member(apply(u,v),w)*.
% 299.72/300.38  256423[20:MRR:256398.1,212515.0] || subclass(inverse(identity_relation),regular(symmetrization_of(identity_relation)))* -> .
% 299.72/300.38  256422[20:MRR:256397.1,212515.0] || subclass(symmetrization_of(identity_relation),regular(symmetrization_of(identity_relation)))* -> .
% 299.72/300.38  256413[5:MRR:256341.1,201946.0] || subclass(complement(singleton(u)),identity_relation)* -> .
% 299.72/300.38  256523[5:Res:7.1,256420.0] || equal(least(element_relation,omega),omega)** -> .
% 299.72/300.38  3675[0:SpL:69.0,3646.0] || subclass(apply(u,v),image(u,singleton(v)))* -> section(element_relation,image(u,singleton(v)),universal_class).
% 299.72/300.38  256519[5:Res:7.1,256419.0] || equal(least(element_relation,omega),universal_class)** -> .
% 299.72/300.38  256515[20:Res:7.1,256418.0] || equal(regular(symmetrization_of(identity_relation)),universal_class)** -> .
% 299.72/300.38  256510[5:Res:7.1,256416.0] || equal(ordered_pair(identity_relation,identity_relation),domain_relation)** -> .
% 299.72/300.38  256524[5:Res:52.1,256420.0] inductive(least(element_relation,omega)) ||  -> .
% 299.72/300.38  7605[0:Res:765.2,2.0] || member(u,universal_class)+ subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(u),w)*.
% 299.72/300.38  256420[5:MRR:256410.1,212531.0] || subclass(omega,least(element_relation,omega))* -> .
% 299.72/300.38  256419[5:MRR:256409.1,212531.0] || subclass(universal_class,least(element_relation,omega))* -> .
% 299.72/300.38  256418[20:MRR:256399.1,212515.0] || subclass(universal_class,regular(symmetrization_of(identity_relation)))* -> .
% 299.72/300.38  256416[5:MRR:256376.1,202145.0] || subclass(domain_relation,ordered_pair(identity_relation,identity_relation))* -> .
% 299.72/300.38  7615[0:Res:765.2,944.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w)) -> member(sum_class(u),union(v,w))*.
% 299.72/300.38  256316[5:Rew:5253.1,256311.0] || member(u,u)* -> equal(singleton(u),identity_relation).
% 299.72/300.38  256307[5:Res:7.1,256182.0] || equal(regular(u),u)** -> equal(u,identity_relation).
% 299.72/300.38  256314[5:MRR:256309.1,5185.0] inductive(regular(omega)) ||  -> .
% 299.72/300.38  256182[5:Obv:256114.2] || subclass(u,regular(u))* -> equal(u,identity_relation).
% 299.72/300.38  125254[5:Obv:125250.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),omega),v)** equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega).
% 299.72/300.38  256262[15:SoR:256101.0,72.1] one_to_one(complement(cross_product(singleton(singleton(u)),universal_class))) ||  -> .
% 299.72/300.38  256101[15:Obv:256098.1] function(complement(cross_product(singleton(singleton(u)),universal_class))) ||  -> .
% 299.72/300.38  256261[20:Res:7.1,256186.0] || equal(regular(inverse(identity_relation)),symmetrization_of(identity_relation))** -> .
% 299.72/300.38  256186[20:MRR:256158.1,256158.2,212333.0,212336.0] || subclass(symmetrization_of(identity_relation),regular(inverse(identity_relation)))* -> .
% 299.72/300.38  8097[5:Res:5214.2,5405.0] || subclass(u,regular(v)) member(regular(u),v)* -> equal(u,identity_relation) equal(v,identity_relation).
% 299.72/300.38  242206[5:Res:119650.1,242117.0] || equal(domain_of(complement(cross_product(singleton(singleton(u)),universal_class))),universal_class)** -> .
% 299.72/300.38  256040[20:Res:7.1,255961.0] || equal(intersection(complement(inverse(identity_relation)),u),symmetrization_of(identity_relation))** -> .
% 299.72/300.38  256043[20:Rew:124149.0,256034.0] || subclass(symmetrization_of(identity_relation),complement(symmetrization_of(identity_relation)))* -> .
% 299.72/300.38  255961[20:MRR:255869.1,212333.0] || subclass(symmetrization_of(identity_relation),intersection(complement(inverse(identity_relation)),u))* -> .
% 299.72/300.38  125253[5:Obv:125251.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),omega),u)** equal(integer_of(v),identity_relation) subclass(unordered_pair(u,v),omega).
% 299.72/300.38  239900[5:SpR:124149.0,239572.0] ||  -> equal(intersection(intersection(complement(inverse(identity_relation)),u),symmetrization_of(identity_relation)),identity_relation)**.
% 299.72/300.38  255844[7:SoR:255773.0,72.1] one_to_one(symmetrization_of(singleton(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  255792[7:SoR:255624.0,72.1] one_to_one(successor(singleton(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  255773[7:Res:63.1,254863.0] function(symmetrization_of(singleton(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  34006[5:SpR:5338.1,646.0] ||  -> equal(cross_product(u,v),identity_relation) member(singleton(first(regular(cross_product(u,v)))),regular(cross_product(u,v)))*.
% 299.72/300.38  255825[16:Res:7.1,255817.0] || equal(complement(range_of(identity_relation)),successor(range_of(identity_relation)))** -> .
% 299.72/300.38  255817[16:MRR:255814.1,202438.0] || subclass(successor(range_of(identity_relation)),complement(range_of(identity_relation)))* -> .
% 299.72/300.38  255803[16:Res:118490.1,255735.0] || member(regular(successor(range_of(identity_relation))),complement(range_of(identity_relation)))* -> .
% 299.72/300.38  255735[16:MRR:255734.1,202438.0] || member(regular(successor(range_of(identity_relation))),symmetric_difference(universal_class,range_of(identity_relation)))* -> .
% 299.72/300.38  5557[5:Rew:5180.0,4838.1] || subclass(omega,compose_class(u))*+ -> equal(integer_of(ordered_pair(v,w)),identity_relation)** equal(compose(u,v),w)*.
% 299.72/300.38  255624[7:Res:63.1,254848.0] function(successor(singleton(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  255774[7:Res:7.1,254863.0] || equal(u,symmetrization_of(singleton(identity_relation)))*+ -> member(identity_relation,u)*.
% 299.72/300.38  255625[7:Res:7.1,254848.0] || equal(u,successor(singleton(identity_relation)))*+ -> member(identity_relation,u)*.
% 299.72/300.38  254863[7:Res:254823.0,2.0] || subclass(symmetrization_of(singleton(identity_relation)),u)* -> member(identity_relation,u).
% 299.72/300.38  5336[5:Rew:5180.0,589.1] || member(regular(union(u,v)),intersection(complement(u),complement(v)))* -> equal(union(u,v),identity_relation).
% 299.72/300.38  254848[7:Res:254821.0,2.0] || subclass(successor(singleton(identity_relation)),u)* -> member(identity_relation,u).
% 299.72/300.38  254840[7:Res:254817.0,125680.1] || equal(complement(union(singleton(identity_relation),u)),singleton(identity_relation))** -> .
% 299.72/300.38  254810[7:Res:125624.1,254684.0] || equal(intersection(complement(singleton(identity_relation)),u),singleton(identity_relation))** -> .
% 299.72/300.38  254807[7:Res:203246.1,254684.0] || equal(complement(intersection(complement(singleton(identity_relation)),u)),identity_relation)** -> .
% 299.72/300.38  26501[5:Rew:5299.0,26485.1] ||  -> equal(cross_product(u,singleton(v)),identity_relation) equal(segment(regular(cross_product(u,singleton(v))),u,v),identity_relation)**.
% 299.72/300.38  254673[7:MRR:254583.1,125638.0] || subclass(singleton(identity_relation),intersection(complement(singleton(identity_relation)),u))* -> .
% 299.72/300.38  254841[14:Res:254817.0,178202.1] || equal(complement(union(singleton(identity_relation),u)),omega)** -> .
% 299.72/300.38  254839[7:Res:254817.0,153534.1] || equal(complement(union(singleton(identity_relation),u)),universal_class)** -> .
% 299.72/300.38  254812[7:Res:5196.1,254684.0] || subclass(universal_class,intersection(complement(singleton(identity_relation)),u))* -> .
% 299.72/300.38  7570[0:Res:764.2,2.0] || member(u,universal_class)+ subclass(universal_class,v)* subclass(v,w)* -> member(power_class(u),w)*.
% 299.72/300.38  254811[7:Res:119647.1,254684.0] || equal(intersection(complement(singleton(identity_relation)),u),universal_class)** -> .
% 299.72/300.38  254809[14:Res:178018.1,254684.0] || subclass(omega,intersection(complement(singleton(identity_relation)),u))* -> .
% 299.72/300.38  254808[14:Res:178680.1,254684.0] || equal(intersection(complement(singleton(identity_relation)),u),omega)** -> .
% 299.72/300.38  254869[7:Res:254823.0,125680.1] || equal(complement(symmetrization_of(singleton(identity_relation))),singleton(identity_relation))** -> .
% 299.72/300.38  7580[0:Res:764.2,944.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w)) -> member(power_class(u),union(v,w))*.
% 299.72/300.38  254854[7:Res:254821.0,125680.1] || equal(complement(successor(singleton(identity_relation))),singleton(identity_relation))** -> .
% 299.72/300.38  254838[7:Res:254817.0,203257.1] || equal(union(singleton(identity_relation),u),identity_relation)** -> .
% 299.72/300.38  254837[7:Res:254817.0,204710.1] || subclass(union(singleton(identity_relation),u),identity_relation)* -> .
% 299.72/300.38  254813[7:Res:5201.1,254684.0] inductive(intersection(complement(singleton(identity_relation)),u)) ||  -> .
% 299.72/300.38  20559[0:Res:762.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v))) member(unordered_pair(w,x),union(u,v))* -> .
% 299.72/300.38  254870[14:Res:254823.0,178202.1] || equal(complement(symmetrization_of(singleton(identity_relation))),omega)** -> .
% 299.72/300.38  254868[7:Res:254823.0,153534.1] || equal(complement(symmetrization_of(singleton(identity_relation))),universal_class)** -> .
% 299.72/300.38  254855[14:Res:254821.0,178202.1] || equal(complement(successor(singleton(identity_relation))),omega)** -> .
% 299.72/300.38  254853[7:Res:254821.0,153534.1] || equal(complement(successor(singleton(identity_relation))),universal_class)** -> .
% 299.72/300.38  20351[0:Res:780.2,23.0] || member(u,universal_class) subclass(rest_relation,intersection(v,w))*+ -> member(ordered_pair(u,rest_of(u)),w)*.
% 299.72/300.38  254867[7:Res:254823.0,203257.1] || equal(symmetrization_of(singleton(identity_relation)),identity_relation)** -> .
% 299.72/300.38  254866[7:Res:254823.0,204710.1] || subclass(symmetrization_of(singleton(identity_relation)),identity_relation)* -> .
% 299.72/300.38  254852[7:Res:254821.0,203257.1] || equal(successor(singleton(identity_relation)),identity_relation)** -> .
% 299.72/300.38  254851[7:Res:254821.0,204710.1] || subclass(successor(singleton(identity_relation)),identity_relation)* -> .
% 299.72/300.38  20350[0:Res:780.2,22.0] || member(u,universal_class) subclass(rest_relation,intersection(v,w))*+ -> member(ordered_pair(u,rest_of(u)),v)*.
% 299.72/300.38  254823[7:SpR:114.0,254817.0] ||  -> member(identity_relation,symmetrization_of(singleton(identity_relation)))*.
% 299.72/300.38  254821[7:SpR:44.0,254817.0] ||  -> member(identity_relation,successor(singleton(identity_relation)))*.
% 299.72/300.38  254817[7:MRR:254805.0,5265.0] ||  -> member(identity_relation,union(singleton(identity_relation),u))*.
% 299.72/300.38  254684[7:MRR:254683.1,189484.0] || member(identity_relation,intersection(complement(singleton(identity_relation)),u))* -> .
% 299.72/300.38  249285[0:Rew:249197.0,685.2] || member(u,universal_class) -> member(u,image(element_relation,power_class(v)))* member(u,power_class(complement(power_class(v)))).
% 299.72/300.38  239899[7:SpR:189445.0,239572.0] ||  -> equal(intersection(intersection(complement(singleton(identity_relation)),u),singleton(identity_relation)),identity_relation)**.
% 299.72/300.38  254555[11:SoR:253908.0,72.1] one_to_one(complement(power_class(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  254538[10:SoR:253868.0,72.1] one_to_one(complement(power_class(universal_class))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  253908[11:Res:63.1,251960.0] function(complement(power_class(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  38768[5:MRR:38767.2,5184.0] || asymmetric(u,v) transitive(intersection(u,inverse(u)),v)* -> equal(compose(identity_relation,identity_relation),identity_relation).
% 299.72/300.38  253868[10:Res:63.1,251784.0] function(complement(power_class(universal_class))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  251759[5:SpR:124149.0,249197.0] ||  -> equal(complement(power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation)))**.
% 299.72/300.38  251758[7:SpR:189445.0,249197.0] ||  -> equal(complement(power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation)))**.
% 299.72/300.38  253987[5:Res:253376.1,207331.0] || equal(power_class(u),identity_relation) -> asymmetric(power_class(u),v)*.
% 299.72/300.38  31909[5:SpL:5248.1,3834.0] || asymmetric(u,v) equal(compose(identity_relation,identity_relation),identity_relation) -> transitive(intersection(u,inverse(u)),v)*.
% 299.72/300.38  253376[5:MRR:253362.1,29531.1] || equal(power_class(u),identity_relation) -> subclass(power_class(u),v)*.
% 299.72/300.38  252939[11:SpR:203228.1,251954.0] || equal(identity_relation,u) -> member(identity_relation,complement(power_class(u)))*.
% 299.72/300.38  251960[11:Rew:251768.0,168386.0] || subclass(complement(power_class(identity_relation)),u)* -> member(identity_relation,u).
% 299.72/300.38  251958[11:Rew:251768.0,176539.0] || equal(u,complement(power_class(identity_relation)))*+ -> member(identity_relation,u)*.
% 299.72/300.38  195285[17:Rew:195144.1,195209.1] || member(u,universal_class) equal(compose(v,u),identity_relation) -> member(ordered_pair(u,identity_relation),compose_class(v))*.
% 299.72/300.38  251784[10:Rew:251767.0,168373.0] || subclass(complement(power_class(universal_class)),u)* -> member(identity_relation,u).
% 299.72/300.38  251782[10:Rew:251767.0,176877.0] || equal(u,complement(power_class(universal_class)))*+ -> member(identity_relation,u)*.
% 299.72/300.38  251228[5:SpR:249204.0,239951.0] ||  -> equal(intersection(symmetric_difference(universal_class,power_class(u)),power_class(u)),identity_relation)**.
% 299.72/300.38  251227[5:SpR:249204.0,238317.0] ||  -> equal(intersection(power_class(u),symmetric_difference(universal_class,power_class(u))),identity_relation)**.
% 299.72/300.38  252726[0:SpR:249204.0,249200.0] ||  -> equal(union(complement(power_class(u)),complement(power_class(v))),complement(intersection(power_class(u),power_class(v))))**.
% 299.72/300.38  253583[5:SoR:253276.0,72.1] one_to_one(element_relation) ||  -> member(complement(power_class(universal_class)),universal_class)*.
% 299.72/300.38  253276[5:MRR:253271.1,5265.0] function(element_relation) ||  -> member(complement(power_class(universal_class)),universal_class)*.
% 299.72/300.38  253274[5:SpR:251767.0,233494.0] ||  -> equal(sum_class(complement(power_class(universal_class))),apply(element_relation,universal_class))**.
% 299.72/300.38  251973[11:Rew:251768.0,207750.0] ||  -> member(regular(complement(power_class(identity_relation))),complement(power_class(identity_relation)))*.
% 299.72/300.38  249201[0:Rew:249197.0,623.1] || member(u,image(element_relation,power_class(v)))* member(u,power_class(complement(power_class(v)))) -> .
% 299.72/300.38  251795[10:Rew:251767.0,207752.0] ||  -> member(regular(complement(power_class(universal_class))),complement(power_class(universal_class)))*.
% 299.72/300.38  251793[10:Rew:251767.0,201925.0] || member(regular(complement(power_class(universal_class))),power_class(universal_class))* -> .
% 299.72/300.38  253353[11:MRR:207956.1,253352.0] || equal(regular(complement(power_class(identity_relation))),universal_class)** -> .
% 299.72/300.38  253301[10:MRR:208138.1,253300.0] || equal(regular(complement(power_class(universal_class))),universal_class)** -> .
% 299.72/300.38  249213[0:Rew:249197.0,705.0] || member(not_subclass_element(power_class(u),v),complement(power_class(u)))* -> subclass(power_class(u),v).
% 299.72/300.38  253352[11:MRR:253349.1,189082.0] inductive(regular(complement(power_class(identity_relation)))) ||  -> .
% 299.72/300.38  251972[11:Rew:251768.0,230402.0] ||  -> subclass(regular(complement(power_class(identity_relation))),power_class(identity_relation))*.
% 299.72/300.38  251969[11:Rew:251768.0,201914.0] || subclass(complement(power_class(identity_relation)),power_class(identity_relation))* -> .
% 299.72/300.38  253300[10:MRR:253297.1,189083.0] inductive(regular(complement(power_class(universal_class)))) ||  -> .
% 299.72/300.38  249212[5:Rew:249197.0,5333.0] || member(regular(power_class(u)),complement(power_class(u)))* -> equal(power_class(u),identity_relation).
% 299.72/300.38  251794[10:Rew:251767.0,230403.0] ||  -> subclass(regular(complement(power_class(universal_class))),power_class(universal_class))*.
% 299.72/300.38  251791[10:Rew:251767.0,201923.0] || subclass(complement(power_class(universal_class)),power_class(universal_class))* -> .
% 299.72/300.38  251768[5:SpR:22454.0,249197.0] ||  -> equal(image(element_relation,universal_class),complement(power_class(identity_relation)))**.
% 299.72/300.38  251767[5:SpR:6791.0,249197.0] ||  -> equal(image(element_relation,identity_relation),complement(power_class(universal_class)))**.
% 299.72/300.38  249208[0:Rew:249197.0,585.0] ||  -> equal(complement(intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))**.
% 299.72/300.38  251978[11:Rew:251768.0,221691.0] || well_ordering(universal_class,complement(power_class(identity_relation)))* -> .
% 299.72/300.38  251798[10:Rew:251767.0,221762.0] || well_ordering(universal_class,complement(power_class(universal_class)))* -> .
% 299.72/300.38  251789[10:Rew:251767.0,201861.0] || subclass(complement(power_class(universal_class)),identity_relation)* -> .
% 299.72/300.38  251954[11:Rew:251768.0,168383.0] ||  -> member(identity_relation,complement(power_class(identity_relation)))*.
% 299.72/300.38  249200[0:Rew:249197.0,583.0] ||  -> equal(complement(intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))**.
% 299.72/300.38  251778[10:Rew:251767.0,168370.0] ||  -> member(identity_relation,complement(power_class(universal_class)))*.
% 299.72/300.38  249197[0:MRR:48974.0,249196.0] ||  -> equal(image(element_relation,complement(u)),complement(power_class(u)))**.
% 299.72/300.38  251494[11:SpL:114.0,250540.0] || equal(symmetrization_of(complement(power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  251492[11:SpL:44.0,250540.0] || equal(successor(complement(power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  249206[0:Rew:249197.0,202.0] ||  -> equal(complement(image(element_relation,power_class(u))),power_class(complement(power_class(u))))**.
% 299.72/300.38  251503[11:Obv:251497.1] || subclass(complement(power_class(identity_relation)),identity_relation)* -> .
% 299.72/300.38  250540[11:Rew:250502.0,226189.0] || equal(union(complement(power_class(identity_relation)),u),identity_relation)** -> .
% 299.72/300.38  250288[11:Rew:250258.0,226821.0] || equal(union(u,complement(power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  249204[0:Rew:249197.0,56.0] ||  -> equal(complement(complement(power_class(u))),power_class(u))**.
% 299.72/300.38  249133[20:Res:7.1,249089.0] || equal(intersection(u,complement(inverse(identity_relation))),symmetrization_of(identity_relation))** -> .
% 299.72/300.38  249089[20:MRR:249006.1,212333.0] || subclass(symmetrization_of(identity_relation),intersection(u,complement(inverse(identity_relation))))* -> .
% 299.72/300.38  238988[5:SpR:124149.0,238781.0] ||  -> equal(intersection(intersection(u,complement(inverse(identity_relation))),symmetrization_of(identity_relation)),identity_relation)**.
% 299.72/300.38  248463[7:SpL:30.0,248243.0] || subclass(universal_class,restrict(complement(singleton(identity_relation)),u,v))* -> .
% 299.72/300.38  120713[5:Rew:120676.0,31703.1] || member(u,universal_class)+ -> member(u,image(universal_class,singleton(u)))* asymmetric(cross_product(singleton(u),universal_class),v)*.
% 299.72/300.38  248441[7:SpL:30.0,248242.0] || equal(restrict(complement(singleton(identity_relation)),u,v),universal_class)** -> .
% 299.72/300.38  248414[14:SpL:30.0,248240.0] || subclass(omega,restrict(complement(singleton(identity_relation)),u,v))* -> .
% 299.72/300.38  248392[14:SpL:30.0,248239.0] || equal(restrict(complement(singleton(identity_relation)),u,v),omega)** -> .
% 299.72/300.38  248835[7:Res:5201.1,248228.0] inductive(restrict(complement(singleton(identity_relation)),u,v)) ||  -> .
% 299.72/300.38  125910[5:Res:5288.2,5405.0] || subclass(omega,regular(u))*+ member(v,u)* -> equal(integer_of(v),identity_relation) equal(u,identity_relation).
% 299.72/300.38  248228[7:SpL:30.0,248203.0] || member(identity_relation,restrict(complement(singleton(identity_relation)),u,v))* -> .
% 299.72/300.38  248269[7:Res:248247.0,125680.1] || equal(complement(union(u,singleton(identity_relation))),singleton(identity_relation))** -> .
% 299.72/300.38  248241[7:Res:125624.1,248203.0] || equal(intersection(u,complement(singleton(identity_relation))),singleton(identity_relation))** -> .
% 299.72/300.38  24180[0:MRR:24178.1,145.0] || member(u,universal_class) equal(rest_of(u),successor(u)) -> member(ordered_pair(u,rest_of(u)),successor_relation)*.
% 299.72/300.38  248238[7:Res:203246.1,248203.0] || equal(complement(intersection(u,complement(singleton(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  248193[7:MRR:248110.1,125638.0] || subclass(singleton(identity_relation),intersection(u,complement(singleton(identity_relation))))* -> .
% 299.72/300.38  248270[14:Res:248247.0,178202.1] || equal(complement(union(u,singleton(identity_relation))),omega)** -> .
% 299.72/300.38  248268[7:Res:248247.0,153534.1] || equal(complement(union(u,singleton(identity_relation))),universal_class)** -> .
% 299.72/300.38  21036[0:SpR:114.0,941.0] ||  -> equal(intersection(symmetrization_of(u),union(complement(u),complement(inverse(u)))),symmetric_difference(complement(u),complement(inverse(u))))**.
% 299.72/300.38  248243[7:Res:5196.1,248203.0] || subclass(universal_class,intersection(u,complement(singleton(identity_relation))))* -> .
% 299.72/300.38  248242[7:Res:119647.1,248203.0] || equal(intersection(u,complement(singleton(identity_relation))),universal_class)** -> .
% 299.72/300.38  248240[14:Res:178018.1,248203.0] || subclass(omega,intersection(u,complement(singleton(identity_relation))))* -> .
% 299.72/300.38  248239[14:Res:178680.1,248203.0] || equal(intersection(u,complement(singleton(identity_relation))),omega)** -> .
% 299.72/300.38  20365[0:Res:780.2,143.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> equal(restrict(v,u,universal_class),rest_of(u))**.
% 299.72/300.38  248267[7:Res:248247.0,203257.1] || equal(union(u,singleton(identity_relation)),identity_relation)** -> .
% 299.72/300.38  248266[7:Res:248247.0,204710.1] || subclass(union(u,singleton(identity_relation)),identity_relation)* -> .
% 299.72/300.38  248244[7:Res:5201.1,248203.0] inductive(intersection(u,complement(singleton(identity_relation)))) ||  -> .
% 299.72/300.38  248247[7:MRR:248236.0,5265.0] ||  -> member(identity_relation,union(u,singleton(identity_relation)))*.
% 299.72/300.38  21261[0:Res:63.1,773.1] function(complement(u)) || member(v,universal_class) -> member(v,u)* member(v,cross_product(universal_class,universal_class))*.
% 299.72/300.38  248203[7:MRR:248202.1,189484.0] || member(identity_relation,intersection(u,complement(singleton(identity_relation))))* -> .
% 299.72/300.38  238987[7:SpR:189445.0,238781.0] ||  -> equal(intersection(intersection(u,complement(singleton(identity_relation))),singleton(identity_relation)),identity_relation)**.
% 299.72/300.38  247913[0:Obv:247897.0] || member(u,universal_class)* subclass(rest_relation,complement(rest_relation))*+ -> .
% 299.72/300.38  20349[0:Res:780.2,25.1] || member(u,universal_class) subclass(rest_relation,complement(v)) member(ordered_pair(u,rest_of(u)),v)* -> .
% 299.72/300.38  238348[5:SpR:124149.0,237985.0] ||  -> equal(intersection(symmetrization_of(identity_relation),intersection(complement(inverse(identity_relation)),u)),identity_relation)**.
% 299.72/300.38  238347[7:SpR:189445.0,237985.0] ||  -> equal(intersection(singleton(identity_relation),intersection(complement(singleton(identity_relation)),u)),identity_relation)**.
% 299.72/300.38  21037[0:SpR:44.0,941.0] ||  -> equal(intersection(successor(u),union(complement(u),complement(singleton(u)))),symmetric_difference(complement(u),complement(singleton(u))))**.
% 299.72/300.38  237639[5:SpR:124149.0,237395.0] ||  -> equal(intersection(symmetrization_of(identity_relation),intersection(u,complement(inverse(identity_relation)))),identity_relation)**.
% 299.72/300.38  237638[7:SpR:189445.0,237395.0] ||  -> equal(intersection(singleton(identity_relation),intersection(u,complement(singleton(identity_relation)))),identity_relation)**.
% 299.72/300.38  236998[5:SpL:647.0,235499.0] || subclass(universal_class,complement(complement(singleton(singleton(singleton(singleton(u)))))))* -> .
% 299.72/300.38  236114[15:Res:125624.1,235869.0] || equal(singleton(ordered_pair(sum_class(range_of(identity_relation)),u)),singleton(identity_relation))** -> .
% 299.72/300.38  235526[7:Res:235498.0,125680.1] || equal(complement(complement(singleton(ordered_pair(universal_class,u)))),singleton(identity_relation))** -> .
% 299.72/300.38  234985[15:Res:233425.0,178202.1] || equal(complement(complement(singleton(ordered_pair(range_of(identity_relation),u)))),omega)** -> .
% 299.72/300.38  245794[5:MRR:245785.1,348.0] || equal(cantor(complement(cross_product(singleton(power_class(identity_relation)),universal_class))),universal_class)** -> .
% 299.72/300.38  245793[5:MRR:245784.1,348.0] || equal(rest_of(complement(cross_product(singleton(power_class(identity_relation)),universal_class))),rest_relation)** -> .
% 299.72/300.38  245788[5:Res:7.1,242215.0] || equal(domain_of(complement(cross_product(singleton(power_class(identity_relation)),universal_class))),universal_class)** -> .
% 299.72/300.38  244092[5:Res:205150.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(power_class(identity_relation)),universal_class))))* -> .
% 299.72/300.38  244072[15:SpL:191663.0,242218.0] || member(sum_class(range_of(identity_relation)),cantor(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.38  244065[5:Res:202851.1,242679.0] || equal(complement(cantor(complement(cross_product(singleton(identity_relation),universal_class)))),identity_relation)** -> .
% 299.72/300.38  242751[5:Res:202851.1,242513.0] || equal(complement(cantor(complement(cross_product(singleton(omega),universal_class)))),identity_relation)** -> .
% 299.72/300.38  242253[7:Res:193112.1,242117.0] || equal(cantor(complement(cross_product(singleton(identity_relation),universal_class))),singleton(identity_relation))** -> .
% 299.72/300.38  30217[0:MRR:30209.1,176.0] || member(u,universal_class) equal(successor(singleton(u)),u) -> member(singleton(singleton(singleton(u))),successor_relation)*.
% 299.72/300.38  242249[7:Res:125624.1,242117.0] || equal(domain_of(complement(cross_product(singleton(identity_relation),universal_class))),singleton(identity_relation))** -> .
% 299.72/300.38  242246[5:Res:203246.1,242117.0] || equal(complement(domain_of(complement(cross_product(singleton(identity_relation),universal_class)))),identity_relation)** -> .
% 299.72/300.38  245812[15:SoR:245791.0,72.1] one_to_one(complement(cross_product(singleton(power_class(identity_relation)),universal_class))) ||  -> .
% 299.72/300.38  245791[15:MRR:245783.1,348.0] function(complement(cross_product(singleton(power_class(identity_relation)),universal_class))) ||  -> .
% 299.72/300.38  195211[17:Rew:195144.1,149223.2] || member(u,universal_class) subclass(domain_relation,omega) -> equal(integer_of(ordered_pair(u,identity_relation)),ordered_pair(u,identity_relation))**.
% 299.72/300.38  242215[5:Res:205150.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(power_class(identity_relation)),universal_class))))* -> .
% 299.72/300.38  242209[5:Res:203247.1,242117.0] || equal(complement(domain_of(complement(cross_product(singleton(omega),universal_class)))),identity_relation)** -> .
% 299.72/300.38  242190[15:SpL:191663.0,242117.0] || member(sum_class(range_of(identity_relation)),domain_of(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.38  245364[15:SoR:245360.0,72.1] one_to_one(complement(cross_product(identity_relation,universal_class))) ||  -> .
% 299.72/300.38  245360[15:MRR:245346.1,191627.0] function(complement(cross_product(identity_relation,universal_class))) ||  -> .
% 299.72/300.38  242145[5:SpR:242089.0,233494.0] ||  -> equal(apply(complement(cross_product(identity_relation,universal_class)),universal_class),sum_class(range_of(identity_relation)))**.
% 299.72/300.38  245343[20:MRR:245340.1,189081.0] inductive(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation))) ||  -> .
% 299.72/300.38  244951[20:Res:165860.0,244901.0] ||  -> subclass(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),symmetrization_of(identity_relation))*.
% 299.72/300.38  244901[20:Res:118490.1,241679.0] || member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),complement(inverse(identity_relation)))* -> .
% 299.72/300.38  244943[15:Res:122840.1,244930.0] || well_ordering(universal_class,complement(cross_product(universal_class,universal_class)))* -> .
% 299.72/300.38  244930[15:Obv:244929.0] || member(singleton(singleton(identity_relation)),cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  244925[17:MRR:244922.0,99.0] || equal(sum_class(range_of(singleton(identity_relation))),identity_relation)** -> .
% 299.72/300.38  168539[12:MRR:168499.2,5188.0] || equal(sum_class(range_of(singleton(u))),u) member(singleton(singleton(singleton(u))),cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  241679[20:MRR:241678.1,214400.0] || member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),symmetric_difference(universal_class,inverse(identity_relation)))* -> .
% 299.72/300.38  235991[15:Res:202851.1,234737.0] || equal(complement(complement(complement(singleton(singleton(singleton(identity_relation)))))),identity_relation)** -> .
% 299.72/300.38  234242[7:Res:5288.2,233699.0] || subclass(omega,successor_relation) -> equal(integer_of(singleton(singleton(identity_relation))),identity_relation)**.
% 299.72/300.38  234134[17:Res:5288.2,233693.0] || subclass(omega,rest_relation) -> equal(integer_of(singleton(singleton(identity_relation))),identity_relation)**.
% 299.72/300.38  183413[5:Res:53.0,5490.0] || subclass(universal_class,u)+ well_ordering(omega,u)* -> equal(integer_of(ordered_pair(omega,least(omega,universal_class))),identity_relation)**.
% 299.72/300.38  232644[15:SpR:191737.0,228569.0] ||  -> equal(symmetric_difference(symmetric_difference(universal_class,range_of(identity_relation)),successor(range_of(identity_relation))),universal_class)**.
% 299.72/300.38  244811[16:Res:7.1,244785.0] || equal(symmetric_difference(universal_class,range_of(identity_relation)),successor(range_of(identity_relation)))** -> .
% 299.72/300.38  244785[16:MRR:244723.1,202438.0] || subclass(successor(range_of(identity_relation)),symmetric_difference(universal_class,range_of(identity_relation)))* -> .
% 299.72/300.38  232416[15:SpR:191737.0,228402.0] ||  -> equal(intersection(symmetric_difference(universal_class,range_of(identity_relation)),successor(range_of(identity_relation))),identity_relation)**.
% 299.72/300.38  243787[21:MRR:243200.2,5188.0] || member(u,cross_product(universal_class,universal_class)) member(u,complement(compose(complement(element_relation),inverse(element_relation))))* -> .
% 299.72/300.38  232239[15:SpR:191737.0,228176.0] ||  -> equal(union(symmetric_difference(universal_class,range_of(identity_relation)),successor(range_of(identity_relation))),universal_class)**.
% 299.72/300.38  232121[15:SpR:191737.0,227846.0] ||  -> equal(symmetric_difference(successor(range_of(identity_relation)),symmetric_difference(universal_class,range_of(identity_relation))),universal_class)**.
% 299.72/300.38  232054[15:SpR:191737.0,227723.0] ||  -> equal(union(successor(range_of(identity_relation)),symmetric_difference(universal_class,range_of(identity_relation))),universal_class)**.
% 299.72/300.38  231701[15:SpR:191737.0,227656.0] ||  -> equal(intersection(successor(range_of(identity_relation)),symmetric_difference(universal_class,range_of(identity_relation))),identity_relation)**.
% 299.72/300.38  243833[21:MRR:243832.1,5184.0] || transitive(complement(compose(complement(element_relation),inverse(element_relation))),universal_class)* -> equal(compose(identity_relation,identity_relation),identity_relation).
% 299.72/300.38  231294[5:SpL:122494.0,231267.0] || equal(image(element_relation,symmetrization_of(identity_relation)),power_class(complement(inverse(identity_relation))))** -> .
% 299.72/300.38  231292[7:SpL:189471.0,231267.0] || equal(image(element_relation,singleton(identity_relation)),power_class(complement(singleton(identity_relation))))** -> .
% 299.72/300.38  242835[21:Rew:242761.0,159099.0] || equal(compose(identity_relation,identity_relation),identity_relation) -> transitive(complement(compose(complement(element_relation),inverse(element_relation))),universal_class)*.
% 299.72/300.38  227418[9:Res:227368.0,125680.1] || equal(complement(complement(intersection(inverse(identity_relation),universal_class))),singleton(identity_relation))** -> .
% 299.72/300.38  239026[5:SpR:30.0,238781.0] ||  -> equal(intersection(restrict(u,v,w),complement(u)),identity_relation)**.
% 299.72/300.38  237599[5:SpR:30.0,237395.0] ||  -> equal(intersection(complement(u),restrict(u,v,w)),identity_relation)**.
% 299.72/300.38  242218[5:Res:608.1,242117.0] || member(u,cantor(complement(cross_product(singleton(u),universal_class))))* -> .
% 299.72/300.38  242840[21:Rew:242761.0,146717.0] || subclass(compose(identity_relation,identity_relation),identity_relation) -> transitive(complement(compose(complement(element_relation),inverse(element_relation))),universal_class)*.
% 299.72/300.38  243600[21:MRR:243269.2,5188.0] inductive(subset_relation) || well_ordering(u,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  243465[21:MRR:243464.2,5188.0] inductive(compose(subset_relation,subset_relation)) || transitive(identity_relation,universal_class)* -> .
% 299.72/300.38  242679[5:Res:45819.1,242251.0] || subclass(universal_class,cantor(complement(cross_product(singleton(identity_relation),universal_class))))* -> .
% 299.72/300.38  243553[21:MRR:243210.1,168527.0] || equal(compose(complement(element_relation),inverse(element_relation)),identity_relation)** -> .
% 299.72/300.38  242850[21:Rew:242761.0,146714.0] ||  -> equal(image(complement(compose(complement(element_relation),inverse(element_relation))),universal_class),range_of(identity_relation))**.
% 299.72/300.38  242856[21:Rew:242761.0,203904.0] || subclass(complement(cross_product(universal_class,universal_class)),identity_relation)* -> .
% 299.72/300.38  244042[21:SoR:244041.0,72.1] one_to_one(subset_relation) ||  -> .
% 299.72/300.38  244041[21:SoR:243369.0,317.1] function(subset_relation) ||  -> .
% 299.72/300.38  243369[21:MRR:242811.1,191629.0] single_valued_class(subset_relation) ||  -> .
% 299.72/300.38  242845[21:Rew:242761.0,146678.0] ||  -> equal(restrict(complement(compose(complement(element_relation),inverse(element_relation))),universal_class,universal_class),identity_relation)**.
% 299.72/300.38  242761[21:Spt:242650.0] ||  -> equal(subset_relation,identity_relation)**.
% 299.72/300.38  242624[14:MRR:242616.1,5.0] || equal(cantor(complement(cross_product(singleton(identity_relation),universal_class))),universal_class)** -> .
% 299.72/300.38  242623[14:MRR:242615.1,5.0] || equal(rest_of(complement(cross_product(singleton(identity_relation),universal_class))),rest_relation)** -> .
% 299.72/300.38  242513[5:Res:45819.1,242211.0] || subclass(universal_class,cantor(complement(cross_product(singleton(omega),universal_class))))* -> .
% 299.72/300.38  27148[5:Res:3366.1,5447.0] || member(cross_product(universal_class,cross_product(universal_class,universal_class)),universal_class)* -> equal(segment(element_relation,composition_function,least(element_relation,composition_function)),identity_relation).
% 299.72/300.38  242495[5:Obv:242492.1] || equal(cantor(complement(cross_product(singleton(omega),universal_class))),universal_class)** -> .
% 299.72/300.38  242494[5:Obv:242491.1] || equal(rest_of(complement(cross_product(singleton(omega),universal_class))),rest_relation)** -> .
% 299.72/300.38  242366[15:Res:608.1,242188.0] || member(range_of(identity_relation),cantor(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.38  242693[14:Res:52.1,242255.0] inductive(cantor(complement(cross_product(singleton(identity_relation),universal_class)))) ||  -> .
% 299.72/300.38  8435[0:Res:766.2,596.0] || subclass(u,restrict(v,w,x))*+ -> subclass(u,y) member(not_subclass_element(u,y),v)*.
% 299.72/300.38  242255[14:Res:178550.1,242117.0] || subclass(omega,cantor(complement(cross_product(singleton(identity_relation),universal_class))))* -> .
% 299.72/300.38  242254[14:Res:178684.1,242117.0] || equal(cantor(complement(cross_product(singleton(identity_relation),universal_class))),omega)** -> .
% 299.72/300.38  242251[5:Res:5196.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(identity_relation),universal_class))))* -> .
% 299.72/300.38  242250[5:Res:119647.1,242117.0] || equal(domain_of(complement(cross_product(singleton(identity_relation),universal_class))),universal_class)** -> .
% 299.72/300.38  5341[5:Rew:5180.0,4907.0] ||  -> equal(restrict(u,v,w),identity_relation) member(regular(restrict(u,v,w)),cross_product(v,w))*.
% 299.72/300.38  242625[15:SoR:242622.0,72.1] one_to_one(complement(cross_product(singleton(identity_relation),universal_class))) ||  -> .
% 299.72/300.38  242622[15:MRR:242614.1,5.0] function(complement(cross_product(singleton(identity_relation),universal_class))) ||  -> .
% 299.72/300.38  242248[14:Res:178018.1,242117.0] || subclass(omega,domain_of(complement(cross_product(singleton(identity_relation),universal_class))))* -> .
% 299.72/300.38  242247[14:Res:178680.1,242117.0] || equal(domain_of(complement(cross_product(singleton(identity_relation),universal_class))),omega)** -> .
% 299.72/300.38  9097[0:SpR:598.0,123.0] ||  -> equal(domain_of(restrict(cross_product(u,singleton(v)),w,x)),segment(cross_product(w,x),u,v))**.
% 299.72/300.38  242211[5:Res:761.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(omega),universal_class))))* -> .
% 299.72/300.38  242496[15:SoR:242493.0,72.1] one_to_one(complement(cross_product(singleton(omega),universal_class))) ||  -> .
% 299.72/300.38  242493[15:Obv:242490.1] function(complement(cross_product(singleton(omega),universal_class))) ||  -> .
% 299.72/300.38  242210[5:Res:144714.1,242117.0] || equal(domain_of(complement(cross_product(singleton(omega),universal_class))),universal_class)** -> .
% 299.72/300.38  756[0:SpR:123.0,608.1] || member(u,cantor(restrict(v,w,singleton(x))))* -> member(u,segment(v,w,x)).
% 299.72/300.38  242188[15:SpL:191728.0,242117.0] || member(range_of(identity_relation),domain_of(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.38  242349[5:Res:608.1,242194.0] || member(universal_class,cantor(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.38  242252[5:Res:5201.1,242117.0] inductive(domain_of(complement(cross_product(singleton(identity_relation),universal_class)))) ||  -> .
% 299.72/300.38  242194[5:SpL:233410.0,242117.0] || member(universal_class,domain_of(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.38  8147[0:SpR:29.0,943.1] || member(u,symmetric_difference(v,cross_product(w,x)))* -> member(u,complement(restrict(v,w,x))).
% 299.72/300.38  242117[5:Obv:242113.1] || member(u,domain_of(complement(cross_product(singleton(u),universal_class))))* -> .
% 299.72/300.38  242089[5:SpR:227625.0,43.0] ||  -> equal(image(complement(cross_product(u,universal_class)),u),range_of(identity_relation))**.
% 299.72/300.38  227625[5:SpR:227539.0,29.0] ||  -> equal(restrict(complement(cross_product(u,v)),u,v),identity_relation)**.
% 299.72/300.38  237823[5:Res:7.1,233982.0] || equal(u,ordered_pair(universal_class,v))*+ -> member(identity_relation,u)*.
% 299.72/300.38  8150[0:SpR:30.0,943.1] || member(u,symmetric_difference(cross_product(v,w),x))* -> member(u,complement(restrict(x,v,w))).
% 299.72/300.38  237236[5:Res:7.1,233155.0] || equal(regular(unordered_pair(ordered_pair(u,v),w)),universal_class)** -> .
% 299.72/300.38  237209[5:Res:7.1,232830.0] || equal(regular(unordered_pair(u,ordered_pair(v,w))),universal_class)** -> .
% 299.72/300.38  237165[5:MRR:237149.2,202179.0] || equal(singleton(u),v)* equal(v,universal_class) -> .
% 299.72/300.38  237164[5:MRR:237148.2,202179.0] || equal(singleton(u),v)*+ subclass(universal_class,v)* -> .
% 299.72/300.38  8335[0:Rew:160.0,8287.0] ||  -> subclass(symmetric_difference(u,v),w) member(not_subclass_element(symmetric_difference(u,v),w),complement(intersection(u,v)))*.
% 299.72/300.38  241694[20:Res:7.1,241671.0] || equal(symmetric_difference(universal_class,inverse(identity_relation)),symmetrization_of(identity_relation))** -> .
% 299.72/300.38  241671[20:MRR:241611.1,212333.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(universal_class,inverse(identity_relation)))* -> .
% 299.72/300.38  241081[5:SpR:124149.0,239951.0] ||  -> equal(intersection(symmetric_difference(universal_class,inverse(identity_relation)),symmetrization_of(identity_relation)),identity_relation)**.
% 299.72/300.38  5482[5:Rew:5180.0,3861.3] inductive(not_well_ordering(u,v)) || connected(u,v) -> well_ordering(u,v)* member(identity_relation,v).
% 299.72/300.38  241307[7:Res:125624.1,241289.0] || equal(symmetric_difference(universal_class,singleton(identity_relation)),singleton(identity_relation))** -> .
% 299.72/300.38  241279[7:MRR:241217.1,125638.0] || subclass(singleton(identity_relation),symmetric_difference(universal_class,singleton(identity_relation)))* -> .
% 299.72/300.38  5316[5:Rew:5180.0,5123.2] || subclass(u,v)*+ subclass(v,w)* -> equal(u,identity_relation) member(regular(u),w)*.
% 299.72/300.38  241309[7:Res:5196.1,241289.0] || subclass(universal_class,symmetric_difference(universal_class,singleton(identity_relation)))* -> .
% 299.72/300.38  241306[14:Res:178018.1,241289.0] || subclass(omega,symmetric_difference(universal_class,singleton(identity_relation)))* -> .
% 299.72/300.38  5311[5:Rew:5180.0,5175.1] || subclass(u,symmetric_difference(v,w)) -> equal(u,identity_relation) member(regular(u),union(v,w))*.
% 299.72/300.38  241310[7:Res:5201.1,241289.0] inductive(symmetric_difference(universal_class,singleton(identity_relation))) ||  -> .
% 299.72/300.38  241289[7:MRR:241288.1,189484.0] || member(identity_relation,symmetric_difference(universal_class,singleton(identity_relation)))* -> .
% 299.72/300.38  241080[7:SpR:189445.0,239951.0] ||  -> equal(intersection(symmetric_difference(universal_class,singleton(identity_relation)),singleton(identity_relation)),identity_relation)**.
% 299.72/300.38  239951[5:SpR:119684.0,239572.0] ||  -> equal(intersection(symmetric_difference(universal_class,u),complement(complement(u))),identity_relation)**.
% 299.72/300.38  5579[5:Rew:5180.0,4896.1] || subclass(u,v) -> equal(intersection(w,u),identity_relation) member(regular(intersection(w,u)),v)*.
% 299.72/300.38  239942[5:SpR:22595.0,239572.0] ||  -> equal(intersection(cantor(inverse(u)),complement(range_of(u))),identity_relation)**.
% 299.72/300.38  239324[5:SpR:124149.0,238317.0] ||  -> equal(intersection(symmetrization_of(identity_relation),symmetric_difference(universal_class,inverse(identity_relation))),identity_relation)**.
% 299.72/300.38  239323[7:SpR:189445.0,238317.0] ||  -> equal(intersection(singleton(identity_relation),symmetric_difference(universal_class,singleton(identity_relation))),identity_relation)**.
% 299.72/300.38  5604[5:Rew:5180.0,5023.1] || subclass(u,v) -> equal(intersection(u,w),identity_relation) member(regular(intersection(u,w)),v)*.
% 299.72/300.38  239940[5:SpR:22519.0,239572.0] ||  -> equal(intersection(cantor(u),complement(domain_of(u))),identity_relation)**.
% 299.72/300.38  239572[5:Obv:239554.0] ||  -> equal(intersection(intersection(u,v),complement(u)),identity_relation)**.
% 299.72/300.38  5606[5:Rew:5180.0,5025.0] ||  -> equal(intersection(intersection(u,v),w),identity_relation) member(regular(intersection(intersection(u,v),w)),u)*.
% 299.72/300.38  238317[5:SpR:119684.0,237985.0] ||  -> equal(intersection(complement(complement(u)),symmetric_difference(universal_class,u)),identity_relation)**.
% 299.72/300.38  238308[5:SpR:22595.0,237985.0] ||  -> equal(intersection(complement(range_of(u)),cantor(inverse(u))),identity_relation)**.
% 299.72/300.38  238781[5:Obv:238760.0] ||  -> equal(intersection(intersection(u,v),complement(v)),identity_relation)**.
% 299.72/300.38  5605[5:Rew:5180.0,5026.0] ||  -> equal(intersection(intersection(u,v),w),identity_relation) member(regular(intersection(intersection(u,v),w)),v)*.
% 299.72/300.38  238306[5:SpR:22519.0,237985.0] ||  -> equal(intersection(complement(domain_of(u)),cantor(u)),identity_relation)**.
% 299.72/300.38  237985[5:Obv:237964.0] ||  -> equal(intersection(complement(u),intersection(u,v)),identity_relation)**.
% 299.72/300.38  5581[5:Rew:5180.0,4898.0] ||  -> equal(intersection(u,intersection(v,w)),identity_relation) member(regular(intersection(u,intersection(v,w))),v)*.
% 299.72/300.38  233982[5:Res:233438.0,2.0] || subclass(ordered_pair(universal_class,u),v)* -> member(identity_relation,v).
% 299.72/300.38  237395[5:Obv:237371.0] ||  -> equal(intersection(complement(u),intersection(v,u)),identity_relation)**.
% 299.72/300.38  5580[5:Rew:5180.0,4899.0] ||  -> equal(intersection(u,intersection(v,w)),identity_relation) member(regular(intersection(u,intersection(v,w))),w)*.
% 299.72/300.38  233161[5:Res:7.1,228778.0] || equal(regular(unordered_pair(unordered_pair(u,v),w)),universal_class)** -> .
% 299.72/300.38  233155[5:SpL:14.0,228778.0] || subclass(universal_class,regular(unordered_pair(ordered_pair(u,v),w)))* -> .
% 299.72/300.38  232837[5:Res:7.1,228777.0] || equal(regular(unordered_pair(u,unordered_pair(v,w))),universal_class)** -> .
% 299.72/300.38  232830[5:SpL:14.0,228777.0] || subclass(universal_class,regular(unordered_pair(u,ordered_pair(v,w))))* -> .
% 299.72/300.38  29180[5:EqF:5381.1,5381.2] || equal(u,v) -> equal(unordered_pair(v,u),identity_relation) equal(regular(unordered_pair(v,u)),v)**.
% 299.72/300.38  237066[5:Res:7.1,235828.0] || equal(flip(u),rest_relation)** equal(identity_relation,u) -> .
% 299.72/300.38  237063[5:Res:7.1,235827.0] || equal(flip(u),rest_relation) subclass(u,identity_relation)* -> .
% 299.72/300.38  237058[5:Res:7.1,235718.0] || equal(rotate(u),rest_relation)** equal(identity_relation,u) -> .
% 299.72/300.38  237055[5:Res:7.1,235717.0] || equal(rotate(u),rest_relation) subclass(u,identity_relation)* -> .
% 299.72/300.38  5487[5:Rew:5180.0,3862.2] inductive(domain_of(restrict(u,v,w))) || section(u,w,v)* -> member(identity_relation,w).
% 299.72/300.38  235828[5:Res:20388.1,203257.1] || subclass(rest_relation,flip(u))* equal(identity_relation,u) -> .
% 299.72/300.38  235827[5:Res:20388.1,204710.1] || subclass(rest_relation,flip(u))* subclass(u,identity_relation) -> .
% 299.72/300.38  235718[5:Res:20387.1,203257.1] || subclass(rest_relation,rotate(u))* equal(identity_relation,u) -> .
% 299.72/300.38  235717[5:Res:20387.1,204710.1] || subclass(rest_relation,rotate(u))* subclass(u,identity_relation) -> .
% 299.72/300.38  21262[0:Res:7.1,773.1] || equal(u,complement(v))*+ member(w,universal_class)* -> member(w,v)* member(w,u)*.
% 299.72/300.38  235499[5:Res:233421.0,816.1] || subclass(universal_class,complement(complement(singleton(ordered_pair(u,v)))))* -> .
% 299.72/300.38  233703[15:Rew:233702.0,193840.0] ||  -> equal(ordinal_add(u,sum_class(range_of(identity_relation))),ordinal_add(u,universal_class))**.
% 299.72/300.38  8308[0:Res:366.1,25.1] || member(not_subclass_element(intersection(complement(u),v),w),u)* -> subclass(intersection(complement(u),v),w).
% 299.72/300.38  233636[15:Rew:233634.0,191938.0] ||  -> equal(ordered_pair(u,sum_class(range_of(identity_relation))),ordered_pair(u,universal_class))**.
% 299.72/300.38  233595[15:Rew:233494.0,191893.0] ||  -> equal(apply(u,sum_class(range_of(identity_relation))),apply(u,universal_class))**.
% 299.72/300.38  233486[5:SpR:233410.0,160697.0] ||  -> subclass(cantor(cross_product(u,identity_relation)),segment(universal_class,u,universal_class))*.
% 299.72/300.38  233485[5:SpR:233410.0,120682.0] ||  -> equal(domain_of(cross_product(u,identity_relation)),segment(universal_class,u,universal_class))**.
% 299.72/300.38  8214[0:Res:356.1,25.1] || member(not_subclass_element(intersection(u,complement(v)),w),v)* -> subclass(intersection(u,complement(v)),w).
% 299.72/300.38  236373[5:MRR:236371.1,5185.0] || subclass(universal_class,omega)* -> .
% 299.72/300.38  236372[5:MRR:236370.1,5185.0] || equal(omega,universal_class)** -> .
% 299.72/300.38  236369[5:MRR:236321.0,202629.0] ||  -> equal(integer_of(omega),identity_relation)**.
% 299.72/300.38  233419[5:MRR:233406.1,202629.0] || member(u,singleton(omega))* -> equal(integer_of(u),identity_relation).
% 299.72/300.38  8903[0:Rew:932.0,8876.0] ||  -> subclass(symmetric_difference(u,singleton(u)),v) member(not_subclass_element(symmetric_difference(u,singleton(u)),v),successor(u))*.
% 299.72/300.38  236158[17:Res:7.1,235879.0] || equal(singleton(ordered_pair(singleton(singleton(identity_relation)),u)),domain_relation)** -> .
% 299.72/300.38  236113[15:Res:178018.1,235869.0] || subclass(omega,singleton(ordered_pair(sum_class(range_of(identity_relation)),u)))* -> .
% 299.72/300.38  236112[15:Res:178680.1,235869.0] || equal(singleton(ordered_pair(sum_class(range_of(identity_relation)),u)),omega)** -> .
% 299.72/300.38  235881[15:Res:192110.1,235506.0] || equal(singleton(ordered_pair(identity_relation,u)),singleton(singleton(identity_relation)))** -> .
% 299.72/300.38  8837[0:Rew:931.0,8814.0] ||  -> subclass(symmetric_difference(u,inverse(u)),v) member(not_subclass_element(symmetric_difference(u,inverse(u)),v),symmetrization_of(u))*.
% 299.72/300.38  236171[17:Res:7.1,236153.0] || equal(singleton(singleton(singleton(singleton(singleton(identity_relation))))),domain_relation)** -> .
% 299.72/300.38  236153[17:SpL:647.0,235879.0] || subclass(domain_relation,singleton(singleton(singleton(singleton(singleton(identity_relation))))))* -> .
% 299.72/300.38  235879[17:Res:195614.1,235506.0] || subclass(domain_relation,singleton(ordered_pair(singleton(singleton(identity_relation)),u)))* -> .
% 299.72/300.38  236117[15:Res:5201.1,235869.0] inductive(singleton(ordered_pair(sum_class(range_of(identity_relation)),u))) ||  -> .
% 299.72/300.38  123927[0:Res:766.2,158.0] || subclass(u,omega) -> subclass(u,v) equal(integer_of(not_subclass_element(u,v)),not_subclass_element(u,v))**.
% 299.72/300.38  235869[15:SpL:191663.0,235506.0] || member(identity_relation,singleton(ordered_pair(sum_class(range_of(identity_relation)),u)))* -> .
% 299.72/300.38  235527[14:Res:235498.0,178202.1] || equal(complement(complement(singleton(ordered_pair(universal_class,u)))),omega)** -> .
% 299.72/300.38  235494[15:SpR:191663.0,233421.0] ||  -> member(identity_relation,complement(singleton(ordered_pair(sum_class(range_of(identity_relation)),u))))*.
% 299.72/300.38  7609[0:Res:765.2,596.0] || member(u,universal_class) subclass(universal_class,restrict(v,w,x))*+ -> member(sum_class(u),v)*.
% 299.72/300.38  234994[15:Res:125624.1,234980.0] || equal(singleton(ordered_pair(range_of(identity_relation),u)),singleton(identity_relation))** -> .
% 299.72/300.38  235977[17:Res:7.1,234201.1] || equal(complement(rest_relation),domain_relation) subclass(rest_relation,domain_relation)* -> .
% 299.72/300.38  5465[5:Rew:5180.0,4819.2] || subclass(omega,u)*+ subclass(u,v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.72/300.38  234737[15:Res:233423.0,816.1] || subclass(universal_class,complement(complement(singleton(singleton(singleton(identity_relation))))))* -> .
% 299.72/300.38  234201[17:MRR:234188.1,5265.0] || subclass(rest_relation,domain_relation) subclass(domain_relation,complement(rest_relation))* -> .
% 299.72/300.38  5462[5:Rew:5180.0,5176.1] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(w),identity_relation) member(w,union(u,v))*.
% 299.72/300.38  234012[7:Res:233415.0,125680.1] || equal(complement(complement(singleton(singleton(identity_relation)))),singleton(identity_relation))** -> .
% 299.72/300.38  233696[17:MRR:220188.2,233693.0] single_valued_class(rest_of(identity_relation)) || equal(rest_of(identity_relation),identity_relation)** -> .
% 299.72/300.38  233392[5:Res:230404.0,27118.1] || subclass(domain_relation,singleton(domain_relation))* -> equal(singleton(domain_relation),identity_relation).
% 299.72/300.38  235506[5:Res:233421.0,25.1] || member(singleton(u),singleton(ordered_pair(u,v)))* -> .
% 299.72/300.38  7574[0:Res:764.2,596.0] || member(u,universal_class) subclass(universal_class,restrict(v,w,x))*+ -> member(power_class(u),v)*.
% 299.72/300.38  235842[17:Res:7.1,235721.0] || equal(rotate(domain_relation),rest_relation)**+ -> equal(identity_relation,u)*.
% 299.72/300.38  235721[17:Rew:195327.0,235692.1] || subclass(rest_relation,rotate(domain_relation))*+ -> equal(identity_relation,u)*.
% 299.72/300.38  235839[5:Res:7.1,235796.0] || equal(flip(identity_relation),rest_relation)** -> .
% 299.72/300.38  235796[5:Res:20388.1,5188.0] || subclass(rest_relation,flip(identity_relation))* -> .
% 299.72/300.38  20388[0:MRR:20380.0,641.0] || subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),u)*.
% 299.72/300.38  235732[5:Res:7.1,235680.0] || equal(rotate(identity_relation),rest_relation)** -> .
% 299.72/300.38  235680[5:Res:20387.1,5188.0] || subclass(rest_relation,rotate(identity_relation))* -> .
% 299.72/300.38  20387[0:MRR:20381.0,641.0] || subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),u)*.
% 299.72/300.38  235535[7:Res:125624.1,235522.0] || equal(singleton(ordered_pair(universal_class,u)),singleton(identity_relation))** -> .
% 299.72/300.38  235534[14:Res:178018.1,235522.0] || subclass(omega,singleton(ordered_pair(universal_class,u)))* -> .
% 299.72/300.38  235533[14:Res:178680.1,235522.0] || equal(singleton(ordered_pair(universal_class,u)),omega)** -> .
% 299.72/300.38  195193[17:Rew:195144.1,20160.2] || member(u,universal_class) subclass(domain_relation,intersection(v,w))*+ -> member(ordered_pair(u,identity_relation),w)*.
% 299.72/300.38  235538[5:Res:5201.1,235522.0] inductive(singleton(ordered_pair(universal_class,u))) ||  -> .
% 299.72/300.38  235522[5:Res:235498.0,25.1] || member(identity_relation,singleton(ordered_pair(universal_class,u)))* -> .
% 299.72/300.38  235498[5:SpR:233410.0,233421.0] ||  -> member(identity_relation,complement(singleton(ordered_pair(universal_class,u))))*.
% 299.72/300.38  233421[5:MRR:233375.0,202145.0] ||  -> member(singleton(u),complement(singleton(ordered_pair(u,v))))*.
% 299.72/300.38  195185[17:Rew:195144.1,20159.2] || member(u,universal_class) subclass(domain_relation,intersection(v,w))*+ -> member(ordered_pair(u,identity_relation),v)*.
% 299.72/300.38  233702[15:Rew:168482.0,233598.0] ||  -> equal(ordinal_add(u,range_of(identity_relation)),ordinal_add(u,universal_class))**.
% 299.72/300.38  233634[15:Rew:191762.0,233481.0] ||  -> equal(ordered_pair(u,range_of(identity_relation)),ordered_pair(u,universal_class))**.
% 299.72/300.38  233593[15:Rew:233494.0,191772.0] ||  -> equal(apply(u,range_of(identity_relation)),apply(u,universal_class))**.
% 299.72/300.38  8058[5:Res:5404.2,25.1] || well_ordering(u,universal_class) member(least(u,complement(v)),v)* -> equal(complement(v),identity_relation).
% 299.72/300.38  233494[5:SpR:233410.0,69.0] ||  -> equal(sum_class(image(u,identity_relation)),apply(u,universal_class))**.
% 299.72/300.38  233420[5:MRR:233374.1,202145.0] || well_ordering(universal_class,complement(singleton(ordered_pair(u,v))))* -> .
% 299.72/300.38  234993[15:Res:178018.1,234980.0] || subclass(omega,singleton(ordered_pair(range_of(identity_relation),u)))* -> .
% 299.72/300.38  234992[15:Res:178680.1,234980.0] || equal(singleton(ordered_pair(range_of(identity_relation),u)),omega)** -> .
% 299.72/300.38  234997[15:Res:5201.1,234980.0] inductive(singleton(ordered_pair(range_of(identity_relation),u))) ||  -> .
% 299.72/300.38  234980[15:Res:233425.0,25.1] || member(identity_relation,singleton(ordered_pair(range_of(identity_relation),u)))* -> .
% 299.72/300.38  233989[7:Res:233438.0,125680.1] || equal(complement(ordered_pair(universal_class,u)),singleton(identity_relation))** -> .
% 299.72/300.38  233425[15:MRR:233373.0,202145.0] ||  -> member(identity_relation,complement(singleton(ordered_pair(range_of(identity_relation),u))))*.
% 299.72/300.38  26595[5:SpR:5392.2,69.0] || member(u,universal_class) -> member(u,domain_of(v))* equal(apply(v,u),sum_class(range_of(identity_relation))).
% 299.72/300.38  234749[5:SoR:233587.0,72.1] one_to_one(element_relation) || equal(power_class(universal_class),identity_relation)** -> .
% 299.72/300.38  234744[15:Res:233423.0,25.1] || member(singleton(identity_relation),singleton(singleton(singleton(identity_relation))))* -> .
% 299.72/300.38  234013[14:Res:233415.0,178202.1] || equal(complement(complement(singleton(singleton(identity_relation)))),omega)** -> .
% 299.72/300.38  5554[5:Rew:5180.0,4807.1] || subclass(omega,u) -> equal(integer_of(not_subclass_element(complement(u),v)),identity_relation)** subclass(complement(u),v).
% 299.72/300.38  233587[5:MRR:211377.2,233586.0] function(element_relation) || equal(power_class(universal_class),identity_relation)** -> .
% 299.72/300.38  233423[15:MRR:233405.0,201946.0] ||  -> member(singleton(identity_relation),complement(singleton(singleton(singleton(identity_relation)))))*.
% 299.72/300.38  5558[5:Rew:5180.0,4832.1] || subclass(omega,rest_of(u))+ -> equal(integer_of(ordered_pair(v,w)),identity_relation)** member(v,domain_of(u))*.
% 299.72/300.38  233417[14:MRR:233353.1,202629.0] || equal(complement(complement(singleton(omega))),singleton(identity_relation))** -> .
% 299.72/300.38  233482[5:SpR:233410.0,648.0] ||  -> member(unordered_pair(u,identity_relation),ordered_pair(u,universal_class))*.
% 299.72/300.38  233990[14:Res:233438.0,178202.1] || equal(complement(ordered_pair(universal_class,u)),omega)** -> .
% 299.72/300.38  2036[0:SpL:647.0,143.0] || member(singleton(singleton(singleton(u))),rest_of(v))* -> equal(restrict(v,singleton(u),universal_class),u).
% 299.72/300.38  234022[7:Res:125624.1,233416.0] || equal(singleton(singleton(identity_relation)),singleton(identity_relation))** -> .
% 299.72/300.38  20372[0:Res:780.2,94.0] || member(u,universal_class) subclass(rest_relation,compose_class(v))*+ -> equal(compose(v,u),rest_of(u))**.
% 299.72/300.38  233433[5:SpR:233410.0,647.0] ||  -> equal(ordered_pair(identity_relation,universal_class),singleton(singleton(identity_relation)))**.
% 299.72/300.38  233413[14:MRR:233354.1,202629.0] || equal(complement(complement(singleton(omega))),omega)** -> .
% 299.72/300.38  2158[0:SpL:647.0,97.0] || member(ordered_pair(u,singleton(singleton(singleton(v)))),composition_function)* -> equal(compose(u,singleton(v)),v).
% 299.72/300.38  234130[17:Res:3780.1,233693.0] || equal(complement(complement(rest_relation)),universal_class)** -> .
% 299.72/300.38  234021[14:Res:178018.1,233416.0] || subclass(omega,singleton(singleton(identity_relation)))* -> .
% 299.72/300.38  234020[14:Res:178680.1,233416.0] || equal(singleton(singleton(identity_relation)),omega)** -> .
% 299.72/300.38  20346[0:Res:780.2,1054.0] || member(u,universal_class) subclass(rest_relation,singleton(v))*+ -> equal(ordered_pair(u,rest_of(u)),v)*.
% 299.72/300.38  233911[14:Res:125624.1,233411.0] || equal(singleton(identity_relation),singleton(omega))** -> .
% 299.72/300.38  234336[17:Res:7.1,234315.0] || equal(rest_of(u),domain_relation)** -> .
% 299.72/300.38  234315[17:MRR:217299.1,234313.1] || subclass(domain_relation,rest_of(u))* -> .
% 299.72/300.38  234241[7:Res:122840.1,233699.0] || well_ordering(universal_class,complement(successor_relation))* -> .
% 299.72/300.38  234237[7:Res:201827.1,233699.0] || subclass(complement(successor_relation),identity_relation)* -> .
% 299.72/300.38  234240[7:Res:763.1,233699.0] || subclass(universal_class,successor_relation)* -> .
% 299.72/300.38  233699[7:MRR:233698.1,228807.0] || member(singleton(singleton(identity_relation)),successor_relation)* -> .
% 299.72/300.38  234133[17:Res:122840.1,233693.0] || well_ordering(universal_class,complement(rest_relation))* -> .
% 299.72/300.38  195186[17:Rew:195144.1,20158.2] || member(u,universal_class) subclass(domain_relation,complement(v)) member(ordered_pair(u,identity_relation),v)* -> .
% 299.72/300.38  234129[17:Res:201827.1,233693.0] || subclass(complement(rest_relation),identity_relation)* -> .
% 299.72/300.38  234132[17:Res:763.1,233693.0] || subclass(universal_class,rest_relation)* -> .
% 299.72/300.38  233693[17:MRR:233692.1,195265.0] || member(singleton(singleton(identity_relation)),rest_relation)* -> .
% 299.72/300.38  234025[7:Res:5201.1,233416.0] inductive(singleton(singleton(identity_relation))) ||  -> .
% 299.72/300.38  233416[7:MRR:233403.1,201946.0] || member(identity_relation,singleton(singleton(identity_relation)))* -> .
% 299.72/300.38  233415[7:MRR:233357.0,201946.0] ||  -> member(identity_relation,complement(singleton(singleton(identity_relation))))*.
% 299.72/300.38  233438[5:SpR:233410.0,646.0] ||  -> member(identity_relation,ordered_pair(universal_class,u))*.
% 299.72/300.38  28903[0:MRR:28896.1,176.0] || member(u,universal_class) member(singleton(u),u)*+ -> member(singleton(singleton(singleton(u))),element_relation)*.
% 299.72/300.38  233910[14:Res:178018.1,233411.0] || subclass(omega,singleton(omega))* -> .
% 299.72/300.38  233909[14:Res:178680.1,233411.0] || equal(singleton(omega),omega)** -> .
% 299.72/300.38  233914[14:Res:5201.1,233411.0] inductive(singleton(omega)) ||  -> .
% 299.72/300.38  233411[14:MRR:233407.1,202629.0] || member(identity_relation,singleton(omega))* -> .
% 299.72/300.38  233848[5:Res:123649.1,233586.0] ||  -> equal(integer_of(universal_class),identity_relation)**.
% 299.72/300.38  233695[17:MRR:220186.1,233693.0] one_to_one(rest_of(identity_relation)) ||  -> .
% 299.72/300.38  233694[17:MRR:220169.1,233693.0] function(rest_of(identity_relation)) ||  -> .
% 299.72/300.38  233586[5:MRR:233448.1,5188.0] || member(universal_class,universal_class)* -> .
% 299.72/300.38  233410[5:MRR:233350.1,165324.0] ||  -> equal(singleton(universal_class),identity_relation)**.
% 299.72/300.38  230404[5:Obv:230388.0] ||  -> subclass(u,complement(singleton(u)))* equal(singleton(u),identity_relation).
% 299.72/300.38  233216[5:Res:202851.1,233154.0] || equal(complement(regular(unordered_pair(singleton(u),v))),identity_relation)** -> .
% 299.72/300.38  233215[5:Res:7.1,233154.0] || equal(regular(unordered_pair(singleton(u),v)),universal_class)** -> .
% 299.72/300.38  233224[15:Res:202851.1,233203.0] || equal(complement(regular(unordered_pair(identity_relation,u))),identity_relation)** -> .
% 299.72/300.38  233223[15:Res:7.1,233203.0] || equal(regular(unordered_pair(identity_relation,u)),universal_class)** -> .
% 299.72/300.38  233203[15:SpL:191728.0,233154.0] || subclass(universal_class,regular(unordered_pair(identity_relation,u)))* -> .
% 299.72/300.38  233154[5:SpL:13.0,228778.0] || subclass(universal_class,regular(unordered_pair(singleton(u),v)))* -> .
% 299.72/300.38  5603[5:Rew:5180.0,5019.0] ||  -> equal(intersection(omega,u),identity_relation) equal(integer_of(regular(intersection(omega,u))),regular(intersection(omega,u)))**.
% 299.72/300.38  228778[5:MRR:228734.0,228734.2,12.0,203269.0] || subclass(universal_class,regular(unordered_pair(unordered_pair(u,v),w)))* -> .
% 299.72/300.38  233078[5:Res:202851.1,233044.0] || equal(complement(regular(singleton(ordered_pair(u,v)))),identity_relation)** -> .
% 299.72/300.38  233051[5:Res:202851.1,232831.0] || equal(complement(regular(singleton(unordered_pair(u,v)))),identity_relation)** -> .
% 299.72/300.38  232854[5:Res:202851.1,232829.0] || equal(complement(regular(unordered_pair(u,singleton(v)))),identity_relation)** -> .
% 299.72/300.38  5578[5:Rew:5180.0,4892.0] ||  -> equal(intersection(u,omega),identity_relation) equal(integer_of(regular(intersection(u,omega))),regular(intersection(u,omega)))**.
% 299.72/300.38  233077[5:Res:7.1,233044.0] || equal(regular(singleton(ordered_pair(u,v))),universal_class)** -> .
% 299.72/300.38  233050[5:Res:7.1,232831.0] || equal(regular(singleton(unordered_pair(u,v))),universal_class)** -> .
% 299.72/300.38  233044[5:SpL:14.0,232831.0] || subclass(universal_class,regular(singleton(ordered_pair(u,v))))* -> .
% 299.72/300.38  232853[5:Res:7.1,232829.0] || equal(regular(unordered_pair(u,singleton(v))),universal_class)** -> .
% 299.72/300.38  232831[5:SpL:13.0,228777.0] || subclass(universal_class,regular(singleton(unordered_pair(u,v))))* -> .
% 299.72/300.38  232972[5:Res:202851.1,232848.0] || equal(complement(regular(singleton(singleton(u)))),identity_relation)** -> .
% 299.72/300.38  232955[15:Res:202851.1,232842.0] || equal(complement(regular(unordered_pair(u,identity_relation))),identity_relation)** -> .
% 299.72/300.38  232945[5:SSi:232857.0,51.0] ||  -> equal(segment(element_relation,omega,least(element_relation,omega)),identity_relation)**.
% 299.72/300.38  232971[5:Res:7.1,232848.0] || equal(regular(singleton(singleton(u))),universal_class)** -> .
% 299.72/300.38  232954[15:Res:7.1,232842.0] || equal(regular(unordered_pair(u,identity_relation)),universal_class)** -> .
% 299.72/300.38  232848[5:SpL:13.0,232829.0] || subclass(universal_class,regular(singleton(singleton(u))))* -> .
% 299.72/300.38  232842[15:SpL:191728.0,232829.0] || subclass(universal_class,regular(unordered_pair(u,identity_relation)))* -> .
% 299.72/300.38  232829[5:SpL:13.0,228777.0] || subclass(universal_class,regular(unordered_pair(u,singleton(v))))* -> .
% 299.72/300.38  228777[5:MRR:228735.0,228735.2,12.0,203268.0] || subclass(universal_class,regular(unordered_pair(u,unordered_pair(v,w))))* -> .
% 299.72/300.38  232808[7:MRR:232807.1,228790.0] || subclass(complement(singleton(identity_relation)),singleton(identity_relation))* -> .
% 299.72/300.38  227835[5:SpR:227727.0,146221.1] || subclass(u,complement(u))*+ -> subclass(universal_class,complement(u))*.
% 299.72/300.38  228569[5:SpR:118447.0,228195.0] ||  -> equal(symmetric_difference(symmetric_difference(universal_class,u),union(u,identity_relation)),universal_class)**.
% 299.72/300.38  228402[5:SpR:118447.0,227957.0] ||  -> equal(intersection(symmetric_difference(universal_class,u),union(u,identity_relation)),identity_relation)**.
% 299.72/300.38  601[0:Res:3.1,596.0] ||  -> subclass(restrict(u,v,w),x) member(not_subclass_element(restrict(u,v,w),x),u)*.
% 299.72/300.38  228176[5:Rew:22454.0,228010.0] ||  -> equal(union(symmetric_difference(universal_class,u),union(u,identity_relation)),universal_class)**.
% 299.72/300.38  227846[5:SpR:118447.0,227727.0] ||  -> equal(symmetric_difference(union(u,identity_relation),symmetric_difference(universal_class,u)),universal_class)**.
% 299.72/300.38  227723[5:Rew:22454.0,227641.0] ||  -> equal(union(union(u,identity_relation),symmetric_difference(universal_class,u)),universal_class)**.
% 299.72/300.38  5163[0:Res:3.1,944.0] ||  -> subclass(symmetric_difference(u,v),w) member(not_subclass_element(symmetric_difference(u,v),w),union(u,v))*.
% 299.72/300.38  227656[5:SpR:118447.0,227539.0] ||  -> equal(intersection(union(u,identity_relation),symmetric_difference(universal_class,u)),identity_relation)**.
% 299.72/300.38  231551[9:Res:220369.1,229336.0] || member(not_subclass_element(complement(inverse(identity_relation)),identity_relation),inverse(identity_relation))* -> .
% 299.72/300.38  8432[0:Res:766.2,22.0] || subclass(u,intersection(v,w))*+ -> subclass(u,x) member(not_subclass_element(u,x),v)*.
% 299.72/300.38  229336[9:MRR:229335.1,201858.0] || member(not_subclass_element(complement(inverse(identity_relation)),identity_relation),symmetrization_of(identity_relation))* -> .
% 299.72/300.38  228994[5:SpR:124149.0,228130.0] ||  -> equal(symmetric_difference(complement(inverse(identity_relation)),complement(symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.38  8433[0:Res:766.2,23.0] || subclass(u,intersection(v,w))*+ -> subclass(u,x) member(not_subclass_element(u,x),w)*.
% 299.72/300.38  227435[9:Res:227422.0,125680.1] || equal(complement(symmetric_difference(inverse(identity_relation),universal_class)),singleton(identity_relation))** -> .
% 299.72/300.38  227419[14:Res:227368.0,178202.1] || equal(complement(complement(intersection(inverse(identity_relation),universal_class))),omega)** -> .
% 299.72/300.38  227417[9:Res:227368.0,153534.1] || equal(complement(complement(intersection(inverse(identity_relation),universal_class))),universal_class)** -> .
% 299.72/300.38  5318[5:Rew:5180.0,5128.1] || subclass(u,restrict(v,w,x))* -> equal(u,identity_relation) member(regular(u),v).
% 299.72/300.38  231284[5:SpL:118447.0,231267.0] || equal(symmetric_difference(universal_class,u),union(u,identity_relation))** -> .
% 299.72/300.38  231267[5:MRR:231266.1,5240.0] || equal(complement(u),u)** -> .
% 299.72/300.38  230333[0:Obv:230292.1] || subclass(u,complement(u))*+ -> subclass(u,v)*.
% 299.72/300.38  8305[0:Res:366.1,1054.0] ||  -> subclass(intersection(singleton(u),v),w) equal(not_subclass_element(intersection(singleton(u),v),w),u)**.
% 299.72/300.38  230566[10:MRR:230563.1,189083.0] inductive(regular(image(element_relation,identity_relation))) ||  -> .
% 299.72/300.38  230555[11:MRR:230552.1,189082.0] inductive(regular(image(element_relation,universal_class))) ||  -> .
% 299.72/300.38  8211[0:Res:356.1,1054.0] ||  -> subclass(intersection(u,singleton(v)),w) equal(not_subclass_element(intersection(u,singleton(v)),w),v)**.
% 299.72/300.38  230441[9:MRR:230439.1,189081.0] inductive(regular(complement(inverse(identity_relation)))) ||  -> .
% 299.72/300.38  230401[9:MRR:230364.1,201884.0] ||  -> subclass(regular(complement(inverse(identity_relation))),symmetrization_of(identity_relation))*.
% 299.72/300.38  230400[7:MRR:230363.1,228808.0] ||  -> subclass(regular(complement(singleton(identity_relation))),singleton(identity_relation))*.
% 299.72/300.38  230113[5:Obv:230106.0] ||  -> subclass(regular(u),complement(u))* equal(u,identity_relation).
% 299.72/300.38  8431[0:Res:766.2,25.1] || subclass(u,complement(v)) member(not_subclass_element(u,w),v)* -> subclass(u,w).
% 299.72/300.38  229090[5:Res:202851.1,228756.0] || equal(complement(regular(ordered_pair(u,v))),identity_relation)** -> .
% 299.72/300.38  8385[0:Res:762.1,595.0] || subclass(universal_class,restrict(u,v,w))*+ -> member(unordered_pair(x,y),cross_product(v,w))*.
% 299.72/300.38  228562[5:SpR:124149.0,228195.0] ||  -> equal(symmetric_difference(complement(inverse(identity_relation)),symmetrization_of(identity_relation)),universal_class)**.
% 299.72/300.38  8083[5:Res:3.1,5405.0] || member(not_subclass_element(regular(u),v),u)* -> subclass(regular(u),v) equal(u,identity_relation).
% 299.72/300.38  228505[5:SpR:124149.0,228164.0] ||  -> equal(union(complement(inverse(identity_relation)),symmetrization_of(identity_relation)),universal_class)**.
% 299.72/300.38  5585[5:Rew:5180.0,5036.0] ||  -> equal(symmetric_difference(u,v),identity_relation) member(regular(symmetric_difference(u,v)),complement(intersection(u,v)))*.
% 299.72/300.38  228024[5:Rew:227958.0,165824.0] ||  -> equal(intersection(complement(inverse(identity_relation)),symmetrization_of(identity_relation)),identity_relation)**.
% 299.72/300.38  227839[5:SpR:124149.0,227727.0] ||  -> equal(symmetric_difference(symmetrization_of(identity_relation),complement(inverse(identity_relation))),universal_class)**.
% 299.72/300.38  5550[5:Rew:5180.0,4824.1] || subclass(omega,restrict(u,v,w))*+ -> equal(integer_of(x),identity_relation) member(x,u)*.
% 299.72/300.38  227774[5:SpR:124149.0,227712.0] ||  -> equal(union(symmetrization_of(identity_relation),complement(inverse(identity_relation))),universal_class)**.
% 299.72/300.38  210189[15:Rew:210176.1,27569.2] one_to_one(u) || subclass(range_of(inverse(u)),v) -> maps(inverse(u),universal_class,v)*.
% 299.72/300.38  227649[5:SpR:124149.0,227539.0] ||  -> equal(intersection(symmetrization_of(identity_relation),complement(inverse(identity_relation))),identity_relation)**.
% 299.72/300.38  227451[9:Res:125624.1,227413.0] || equal(intersection(inverse(identity_relation),universal_class),singleton(identity_relation))** -> .
% 299.72/300.38  227436[14:Res:227422.0,178202.1] || equal(complement(symmetric_difference(inverse(identity_relation),universal_class)),omega)** -> .
% 299.72/300.38  8055[5:Res:5404.2,1054.0] || well_ordering(u,universal_class) -> equal(singleton(v),identity_relation) equal(least(u,singleton(v)),v)**.
% 299.72/300.38  227434[9:Res:227422.0,153534.1] || equal(complement(symmetric_difference(inverse(identity_relation),universal_class)),universal_class)** -> .
% 299.72/300.38  227416[9:Res:227368.0,203257.1] || equal(complement(intersection(inverse(identity_relation),universal_class)),identity_relation)** -> .
% 299.72/300.38  227415[9:Res:227368.0,204710.1] || subclass(complement(intersection(inverse(identity_relation),universal_class)),identity_relation)* -> .
% 299.72/300.38  227367[9:Res:227240.0,214822.0] || well_ordering(universal_class,complement(intersection(inverse(identity_relation),universal_class)))* -> .
% 299.72/300.38  229089[5:Res:7.1,228756.0] || equal(regular(ordered_pair(u,v)),universal_class)** -> .
% 299.72/300.38  228896[5:Res:202851.1,228791.0] || equal(complement(ordered_pair(u,v)),identity_relation)** -> .
% 299.72/300.38  228795[5:Res:202851.1,228769.0] || equal(complement(unordered_pair(u,v)),identity_relation)** -> .
% 299.72/300.38  33437[0:Rew:54.0,33427.2] || section(element_relation,u,universal_class)*+ subclass(u,sum_class(u))* -> equal(sum_class(u),u).
% 299.72/300.38  228756[5:MRR:228751.1,47782.0] || subclass(universal_class,regular(ordered_pair(u,v)))* -> .
% 299.72/300.38  229017[5:SpR:124149.0,228130.0] ||  -> equal(symmetric_difference(inverse(identity_relation),symmetrization_of(identity_relation)),identity_relation)**.
% 299.72/300.38  228130[5:Rew:227958.0,222470.0] ||  -> equal(symmetric_difference(u,complement(complement(u))),identity_relation)**.
% 299.72/300.38  7607[0:Res:765.2,22.0] || member(u,universal_class) subclass(universal_class,intersection(v,w))*+ -> member(sum_class(u),v)*.
% 299.72/300.38  227453[9:Res:5196.1,227413.0] || subclass(universal_class,intersection(inverse(identity_relation),universal_class))* -> .
% 299.72/300.38  228895[5:Res:7.1,228791.0] || equal(ordered_pair(u,v),universal_class)** -> .
% 299.72/300.38  228794[5:Res:7.1,228769.0] || equal(unordered_pair(u,v),universal_class)** -> .
% 299.72/300.38  228791[5:SpL:14.0,228769.0] || subclass(universal_class,ordered_pair(u,v))* -> .
% 299.72/300.38  7608[0:Res:765.2,23.0] || member(u,universal_class) subclass(universal_class,intersection(v,w))*+ -> member(sum_class(u),w)*.
% 299.72/300.38  228808[5:Res:202851.1,228790.0] || equal(complement(singleton(u)),identity_relation)** -> .
% 299.72/300.38  228807[5:Res:7.1,228790.0] || equal(singleton(u),universal_class)** -> .
% 299.72/300.38  228790[5:SpL:13.0,228769.0] || subclass(universal_class,singleton(u))* -> .
% 299.72/300.38  228769[5:MRR:228768.0,228768.2,16080.1,202156.0] || subclass(universal_class,unordered_pair(u,v))* -> .
% 299.72/300.38  8086[5:Res:762.1,5405.0] || subclass(universal_class,regular(u)) member(unordered_pair(v,w),u)* -> equal(u,identity_relation).
% 299.72/300.38  227452[9:Res:119647.1,227413.0] || equal(intersection(inverse(identity_relation),universal_class),universal_class)** -> .
% 299.72/300.38  227450[14:Res:178018.1,227413.0] || subclass(omega,intersection(inverse(identity_relation),universal_class))* -> .
% 299.72/300.38  227449[14:Res:178680.1,227413.0] || equal(intersection(inverse(identity_relation),universal_class),omega)** -> .
% 299.72/300.38  227433[9:Res:227422.0,203257.1] || equal(symmetric_difference(inverse(identity_relation),universal_class),identity_relation)** -> .
% 299.72/300.38  8902[5:Rew:932.0,8875.0] ||  -> equal(symmetric_difference(u,singleton(u)),identity_relation) member(regular(symmetric_difference(u,singleton(u))),successor(u))*.
% 299.72/300.38  228195[5:Rew:22454.0,228194.0] ||  -> equal(symmetric_difference(u,complement(u)),universal_class)**.
% 299.72/300.38  228164[5:Rew:22454.0,227978.0] ||  -> equal(union(u,complement(u)),universal_class)**.
% 299.72/300.38  227957[5:Obv:227925.0] ||  -> equal(intersection(u,complement(u)),identity_relation)**.
% 299.72/300.38  227958[5:Rew:227957.0,124489.0] ||  -> equal(symmetric_difference(u,u),identity_relation)**.
% 299.72/300.38  5577[5:Rew:5180.0,4897.1] || member(regular(intersection(u,complement(v))),v)* -> equal(intersection(u,complement(v)),identity_relation).
% 299.72/300.38  227432[9:Res:227422.0,204710.1] || subclass(symmetric_difference(inverse(identity_relation),universal_class),identity_relation)* -> .
% 299.72/300.38  227727[5:Rew:227712.0,227726.0] ||  -> equal(symmetric_difference(complement(u),u),universal_class)**.
% 299.72/300.38  227712[5:Rew:22454.0,227637.0] ||  -> equal(union(complement(u),u),universal_class)**.
% 299.72/300.38  227539[5:Obv:227533.0] ||  -> equal(intersection(complement(u),u),identity_relation)**.
% 299.72/300.38  5602[5:Rew:5180.0,5024.1] || member(regular(intersection(complement(u),v)),u)* -> equal(intersection(complement(u),v),identity_relation).
% 299.72/300.38  227454[9:Res:5201.1,227413.0] inductive(intersection(inverse(identity_relation),universal_class)) ||  -> .
% 299.72/300.38  227413[9:Res:227368.0,25.1] || member(identity_relation,intersection(inverse(identity_relation),universal_class))* -> .
% 299.72/300.38  227422[9:MRR:227421.0,5265.0] ||  -> member(identity_relation,symmetric_difference(inverse(identity_relation),universal_class))*.
% 299.72/300.38  227368[9:Res:227240.0,168277.0] ||  -> member(identity_relation,complement(intersection(inverse(identity_relation),universal_class)))*.
% 299.72/300.38  8836[5:Rew:931.0,8813.0] ||  -> equal(symmetric_difference(u,inverse(u)),identity_relation) member(regular(symmetric_difference(u,inverse(u))),symmetrization_of(u))*.
% 299.72/300.38  227240[5:Rew:22667.0,227175.0] ||  -> subclass(complement(inverse(u)),complement(intersection(inverse(u),universal_class)))*.
% 299.72/300.38  227239[5:Rew:22654.0,227173.0] ||  -> subclass(complement(sum_class(u)),complement(intersection(sum_class(u),universal_class)))*.
% 299.72/300.38  227180[0:SpR:40.0,227090.0] ||  -> subclass(complement(range_of(u)),complement(cantor(inverse(u))))*.
% 299.72/300.38  227090[0:Obv:227086.0] ||  -> subclass(complement(domain_of(u)),complement(cantor(u)))*.
% 299.72/300.38  704[0:Res:608.1,338.0] || member(not_subclass_element(complement(domain_of(u)),v),cantor(u))* -> subclass(complement(domain_of(u)),v).
% 299.72/300.38  226839[11:Rew:22481.0,226835.0] || equal(complement(intersection(power_class(u),power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.38  203649[5:Res:202851.1,5228.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(identity_relation,v).
% 299.72/300.38  7572[0:Res:764.2,22.0] || member(u,universal_class) subclass(universal_class,intersection(v,w))*+ -> member(power_class(u),v)*.
% 299.72/300.38  226279[17:Res:226257.1,195267.1] || member(u,universal_class) equal(rest_of(rest_of(u)),rest_relation)** -> .
% 299.72/300.38  226277[5:Res:226257.1,203295.1] || member(u,universal_class) equal(singleton(rest_of(u)),identity_relation)** -> .
% 299.72/300.38  226485[11:SpL:114.0,226220.0] || equal(complement(intersection(power_class(identity_relation),symmetrization_of(u))),identity_relation)** -> .
% 299.72/300.38  7573[0:Res:764.2,23.0] || member(u,universal_class) subclass(universal_class,intersection(v,w))*+ -> member(power_class(u),w)*.
% 299.72/300.38  226529[11:SpL:189431.0,226483.0] || equal(complement(intersection(power_class(identity_relation),singleton(identity_relation))),identity_relation)** -> .
% 299.72/300.38  226483[11:SpL:44.0,226220.0] || equal(complement(intersection(power_class(identity_relation),successor(u))),identity_relation)** -> .
% 299.72/300.38  226220[11:Rew:22481.0,226205.0] || equal(complement(intersection(power_class(identity_relation),union(u,v))),identity_relation)** -> .
% 299.72/300.38  226282[17:Res:226257.1,195144.0] || member(u,universal_class) -> equal(domain_of(rest_of(u)),identity_relation)**.
% 299.72/300.38  964[0:SpL:647.0,94.0] || member(singleton(singleton(singleton(u))),compose_class(v))* -> equal(compose(v,singleton(u)),u).
% 299.72/300.38  226281[17:Res:226257.1,195164.0] || member(u,universal_class) -> equal(cantor(rest_of(u)),identity_relation)**.
% 299.72/300.38  226295[17:SoR:226276.0,72.1] one_to_one(rest_of(u)) || member(u,universal_class)* -> .
% 299.72/300.38  226276[17:Res:226257.1,210026.1] function(rest_of(u)) || member(u,universal_class)* -> .
% 299.72/300.38  226257[0:Res:145.0,20368.1] || member(u,universal_class) -> member(rest_of(u),universal_class)*.
% 299.72/300.38  20368[0:Res:780.2,16.0] || member(u,universal_class) subclass(rest_relation,cross_product(v,w))*+ -> member(rest_of(u),w)*.
% 299.72/300.38  226219[11:Rew:22481.0,226210.0] || equal(complement(intersection(power_class(identity_relation),power_class(u))),identity_relation)** -> .
% 299.72/300.38  195224[17:Rew:195144.1,20181.2] || member(u,universal_class) subclass(domain_relation,compose_class(v))*+ -> equal(compose(v,u),identity_relation)**.
% 299.72/300.38  203648[5:Res:202851.1,5192.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(identity_relation,u).
% 299.72/300.38  202186[14:MRR:178737.1,202179.0] || equal(ordered_pair(u,v),omega)** -> equal(singleton(u),identity_relation).
% 299.72/300.38  202185[14:MRR:178056.1,202179.0] || subclass(omega,ordered_pair(u,v))* -> equal(singleton(u),identity_relation).
% 299.72/300.38  195190[17:Rew:195144.1,20155.2] || member(u,universal_class) subclass(domain_relation,singleton(v))*+ -> equal(ordered_pair(u,identity_relation),v)*.
% 299.72/300.38  225873[20:Res:7.1,224653.1] || equal(u,universal_class) equal(complement(u),symmetrization_of(identity_relation))* -> .
% 299.72/300.38  225068[5:Rew:29757.0,224990.1] || equal(complement(u),identity_relation) -> equal(symmetric_difference(u,universal_class),identity_relation)**.
% 299.72/300.38  29630[5:MRR:8092.0,29542.1] || member(apply(choice,regular(u)),u)* -> equal(regular(u),identity_relation) equal(u,identity_relation).
% 299.72/300.38  224653[20:Res:7.1,220259.1] || equal(complement(u),symmetrization_of(identity_relation)) subclass(universal_class,u)* -> .
% 299.72/300.38  224556[17:SoR:219519.0,72.1] one_to_one(regular(complement(power_class(u)))) || equal(identity_relation,u)* -> .
% 299.72/300.38  223693[5:Obv:223664.1] || equal(range_of(u),universal_class) -> equal(successor(range_of(u)),universal_class)**.
% 299.72/300.38  223688[5:Obv:223663.1] || equal(sum_class(u),universal_class) -> equal(successor(sum_class(u)),universal_class)**.
% 299.72/300.38  223683[5:Obv:223662.1] || equal(power_class(u),universal_class) -> equal(successor(power_class(u)),universal_class)**.
% 299.72/300.38  223676[5:Obv:223652.1] || equal(inverse(u),universal_class) -> equal(successor(inverse(u)),universal_class)**.
% 299.72/300.38  223670[5:Obv:223642.1] || equal(complement(u),universal_class) -> equal(successor(complement(u)),universal_class)**.
% 299.72/300.38  223101[5:MRR:223100.1,348.0] || equal(range_of(u),universal_class) -> member(power_class(identity_relation),range_of(u))*.
% 299.72/300.38  7606[0:Res:765.2,25.1] || member(u,universal_class) subclass(universal_class,complement(v)) member(sum_class(u),v)* -> .
% 299.72/300.38  223099[5:MRR:223098.1,348.0] || equal(sum_class(u),universal_class) -> member(power_class(identity_relation),sum_class(u))*.
% 299.72/300.38  223097[5:MRR:223096.1,348.0] || equal(power_class(u),universal_class) -> member(power_class(identity_relation),power_class(u))*.
% 299.72/300.38  223095[5:MRR:223094.1,348.0] || equal(inverse(u),universal_class) -> member(power_class(identity_relation),inverse(u))*.
% 299.72/300.38  223093[5:MRR:223092.1,348.0] || equal(complement(u),universal_class) -> member(power_class(identity_relation),complement(u))*.
% 299.72/300.38  5543[5:Rew:5180.0,4829.1] || subclass(omega,successor_relation) -> equal(integer_of(ordered_pair(u,v)),identity_relation)** equal(successor(u),v).
% 299.72/300.38  225483[5:MRR:225425.1,205350.0] || equal(complement(complement(complement(singleton(power_class(identity_relation))))),universal_class)** -> .
% 299.72/300.38  223085[5:Res:7.1,218119.0] || equal(complement(complement(u)),universal_class) -> member(power_class(identity_relation),u)*.
% 299.72/300.38  5542[5:Rew:5180.0,4840.1] || subclass(omega,rest_relation) -> equal(integer_of(ordered_pair(u,v)),identity_relation)** equal(rest_of(u),v).
% 299.72/300.38  222760[5:Res:124837.1,222432.0] || equal(symmetric_difference(universal_class,complement(u)),universal_class)** -> member(identity_relation,u).
% 299.72/300.38  222759[14:Res:178692.1,222432.0] || equal(symmetric_difference(universal_class,complement(u)),omega)** -> member(identity_relation,u).
% 299.72/300.38  222758[5:Res:203760.1,222432.0] || equal(union(complement(u),identity_relation),identity_relation)** -> member(identity_relation,u).
% 299.72/300.38  222742[5:Res:144786.1,222432.0] || equal(symmetric_difference(universal_class,complement(u)),universal_class)** -> member(omega,u).
% 299.72/300.38  5541[5:Rew:5180.0,4841.1] || subclass(omega,domain_relation) -> equal(integer_of(ordered_pair(u,v)),identity_relation)** equal(domain_of(u),v).
% 299.72/300.38  222741[5:Res:203762.1,222432.0] || equal(union(complement(u),identity_relation),identity_relation)** -> member(omega,u).
% 299.72/300.38  222635[5:Res:202851.1,222412.0] || equal(complement(complement(complement(u))),identity_relation)** -> member(omega,u).
% 299.72/300.38  222523[5:Res:202851.1,222410.0] || equal(complement(complement(complement(u))),identity_relation)** -> member(identity_relation,u).
% 299.72/300.38  222407[5:SpR:202351.1,222089.0] || equal(complement(u),identity_relation) -> equal(intersection(u,universal_class),universal_class)**.
% 299.72/300.38  149331[0:Res:761.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v)))* member(omega,union(u,v)) -> .
% 299.72/300.38  221853[4:Res:7.1,214968.0] || equal(singleton(u),omega)**+ -> equal(least(element_relation,omega),u)*.
% 299.72/300.38  221832[16:Res:7.1,214860.0] || equal(u,successor(range_of(identity_relation)))*+ well_ordering(universal_class,u)* -> .
% 299.72/300.38  221778[9:Res:7.1,214822.0] || equal(u,complement(inverse(identity_relation)))*+ well_ordering(universal_class,u)* -> .
% 299.72/300.38  7571[0:Res:764.2,25.1] || member(u,universal_class) subclass(universal_class,complement(v)) member(power_class(u),v)* -> .
% 299.72/300.38  221584[20:Res:153612.1,221552.1] || equal(complement(u),universal_class)**+ equal(u,symmetrization_of(identity_relation))* -> .
% 299.72/300.38  221459[20:Res:214397.1,153534.1] || subclass(symmetrization_of(identity_relation),u)* equal(complement(u),universal_class) -> .
% 299.72/300.38  195279[17:Rew:195144.1,195191.1] || member(u,universal_class) equal(successor(u),identity_relation) -> member(ordered_pair(u,identity_relation),successor_relation)*.
% 299.72/300.38  220743[20:Res:153612.1,220714.1] || equal(complement(u),universal_class)** equal(u,inverse(identity_relation)) -> .
% 299.72/300.38  220663[20:Res:212352.1,153534.1] || subclass(inverse(identity_relation),u)* equal(complement(u),universal_class) -> .
% 299.72/300.38  220294[12:SpL:168482.0,210764.0] || subclass(universal_class,ordinal_add(u,v))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  220287[12:SpL:168482.0,210759.0] || equal(ordinal_add(u,v),universal_class)** subclass(element_relation,identity_relation) -> .
% 299.72/300.38  220259[20:MRR:220246.2,212333.0] || subclass(universal_class,u) subclass(symmetrization_of(identity_relation),complement(u))* -> .
% 299.72/300.38  220048[15:SoR:209249.0,72.1] one_to_one(flip(cross_product(u,universal_class))) ||  -> equal(inverse(u),universal_class)**.
% 299.72/300.38  219946[15:SoR:209244.0,72.1] one_to_one(restrict(element_relation,universal_class,u)) ||  -> equal(sum_class(u),universal_class)**.
% 299.72/300.38  219939[14:SpL:168482.0,208807.0] || subclass(omega,ordinal_add(u,v))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  26481[5:SpR:5749.1,43.0] ||  -> equal(cross_product(u,universal_class),identity_relation) equal(image(regular(cross_product(u,universal_class)),u),range_of(identity_relation))**.
% 299.72/300.38  219932[14:SpL:168482.0,208802.0] || equal(ordinal_add(u,v),omega)** subclass(element_relation,identity_relation) -> .
% 299.72/300.38  224567[12:Res:5201.1,219825.0] inductive(ordinal_add(u,v)) || subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  219825[12:SpL:168482.0,208733.0] || member(identity_relation,ordinal_add(u,v))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  219519[17:Res:207952.1,210026.1] function(regular(complement(power_class(u)))) || equal(identity_relation,u)* -> .
% 299.72/300.38  219442[5:Res:219417.1,204710.1] || subclass(complement(u),identity_relation) subclass(symmetrization_of(u),identity_relation)* -> .
% 299.72/300.38  219416[5:Res:207245.1,206410.0] || subclass(complement(u),identity_relation) well_ordering(universal_class,symmetrization_of(u))* -> .
% 299.72/300.38  219414[5:Res:207245.1,5694.0] || subclass(complement(u),identity_relation)* -> equal(complement(symmetrization_of(u)),identity_relation).
% 299.72/300.38  5752[5:Rew:5180.0,5376.1] || subclass(omega,u) -> equal(integer_of(regular(complement(u))),identity_relation)** equal(complement(u),identity_relation).
% 299.72/300.38  219411[5:Res:207245.1,202409.1] inductive(complement(symmetrization_of(u))) || subclass(complement(u),identity_relation)* -> .
% 299.72/300.38  219370[5:Res:219313.1,204710.1] || subclass(complement(u),identity_relation)* subclass(successor(u),identity_relation) -> .
% 299.72/300.38  219312[5:Res:207244.1,206410.0] || subclass(complement(u),identity_relation) well_ordering(universal_class,successor(u))* -> .
% 299.72/300.38  219310[5:Res:207244.1,5694.0] || subclass(complement(u),identity_relation)* -> equal(complement(successor(u)),identity_relation).
% 299.72/300.38  219307[5:Res:207244.1,202409.1] inductive(complement(successor(u))) || subclass(complement(u),identity_relation)* -> .
% 299.72/300.38  223900[5:Obv:223822.1] || equal(complement(u),identity_relation) -> equal(symmetrization_of(u),universal_class)**.
% 299.72/300.38  223888[5:Obv:223859.1] || equal(complement(u),identity_relation) -> connected(u,v)*.
% 299.72/300.38  219192[5:Res:206864.1,202409.1] inductive(complement(symmetrization_of(u))) || equal(complement(u),identity_relation)** -> .
% 299.72/300.38  223446[5:Obv:223401.1] || equal(complement(u),identity_relation)** -> equal(successor(u),universal_class).
% 299.72/300.38  219116[5:Res:206863.1,202409.1] inductive(complement(successor(u))) || equal(complement(u),identity_relation)** -> .
% 299.72/300.38  218905[5:Res:7.1,206266.1] || equal(cantor(u),domain_relation)** equal(cantor(u),identity_relation) -> .
% 299.72/300.38  218837[14:MRR:218836.2,5188.0] || equal(range_of(u),identity_relation)** equal(range_of(u),omega) -> .
% 299.72/300.38  223091[5:MRR:223082.1,348.0] || equal(complement(u),identity_relation) -> member(power_class(identity_relation),u)*.
% 299.72/300.38  218119[5:MRR:218081.0,205135.0] || subclass(universal_class,complement(complement(u)))* -> member(power_class(identity_relation),u).
% 299.72/300.38  217850[5:Res:5196.1,204088.1] || subclass(universal_class,power_class(u))* equal(power_class(u),identity_relation) -> .
% 299.72/300.38  217161[17:MRR:217116.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(singleton(v)))*+ -> .
% 299.72/300.38  217001[5:Rew:56.0,216986.0] || equal(power_class(u),identity_relation) equal(power_class(u),domain_relation)** -> .
% 299.72/300.38  216962[14:Rew:56.0,216947.1] || equal(power_class(u),identity_relation)** equal(power_class(u),omega) -> .
% 299.72/300.38  215440[17:Res:153612.1,215304.1] || equal(complement(u),universal_class)** equal(flip(u),domain_relation) -> .
% 299.72/300.38  215414[17:Res:153612.1,215296.1] || equal(complement(u),universal_class)** equal(rotate(u),domain_relation) -> .
% 299.72/300.38  222432[0:SpL:222089.0,22.0] || member(u,complement(complement(v)))* -> member(u,v).
% 299.72/300.38  222425[14:SpL:222089.0,178033.0] || subclass(omega,complement(complement(u)))* -> member(identity_relation,u).
% 299.72/300.38  222412[0:SpL:222089.0,791.0] || subclass(universal_class,complement(complement(u)))* -> member(omega,u).
% 299.72/300.38  222410[5:SpL:222089.0,5192.0] || subclass(universal_class,complement(complement(u)))* -> member(identity_relation,u).
% 299.72/300.38  222089[0:MRR:222053.0,8231.0] ||  -> equal(intersection(u,complement(complement(u))),complement(complement(u)))**.
% 299.72/300.38  222174[5:SpL:222118.0,22.0] || member(u,symmetrization_of(identity_relation))* -> member(u,inverse(identity_relation)).
% 299.72/300.38  5343[5:Rew:5180.0,603.0] ||  -> equal(restrict(u,v,w),identity_relation) member(regular(restrict(u,v,w)),u)*.
% 299.72/300.38  222118[5:MRR:222112.0,8231.0] ||  -> equal(intersection(inverse(identity_relation),symmetrization_of(identity_relation)),symmetrization_of(identity_relation))**.
% 299.72/300.38  221854[4:Res:52.1,214968.0] inductive(singleton(u)) ||  -> equal(least(element_relation,omega),u)*.
% 299.72/300.38  34675[0:Obv:34655.1] || member(not_subclass_element(u,intersection(v,u)),v)* -> subclass(u,intersection(v,u)).
% 299.72/300.38  214968[4:Res:212361.1,1054.0] || subclass(omega,singleton(u))* -> equal(least(element_relation,omega),u).
% 299.72/300.38  221833[16:Res:348.0,214860.0] || well_ordering(universal_class,successor(range_of(identity_relation)))* -> .
% 299.72/300.38  214860[16:Res:192686.0,3924.0] || subclass(successor(range_of(identity_relation)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.38  221779[9:Res:348.0,214822.0] || well_ordering(universal_class,complement(inverse(identity_relation)))* -> .
% 299.72/300.38  8428[0:Res:766.2,1054.0] || subclass(u,singleton(v))*+ -> subclass(u,w) equal(not_subclass_element(u,w),v)*.
% 299.72/300.38  214822[9:Res:207747.0,3924.0] || subclass(complement(inverse(identity_relation)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.38  9093[0:SpR:598.0,43.0] ||  -> equal(range_of(restrict(cross_product(u,universal_class),v,w)),image(cross_product(v,w),u))**.
% 299.72/300.38  221682[20:SoR:221551.0,72.1] one_to_one(symmetrization_of(identity_relation)) || subclass(cross_product(universal_class,universal_class),identity_relation)* -> .
% 299.72/300.38  221551[20:Res:63.1,221457.0] function(symmetrization_of(identity_relation)) || subclass(cross_product(universal_class,universal_class),identity_relation)* -> .
% 299.72/300.38  221569[20:Res:7.1,221458.0] || equal(u,symmetrization_of(identity_relation))* equal(identity_relation,u) -> .
% 299.72/300.38  5321[5:Rew:5180.0,5125.1] || subclass(u,intersection(v,w))* -> equal(u,identity_relation) member(regular(u),v).
% 299.72/300.38  221552[20:Res:7.1,221457.0] || equal(u,symmetrization_of(identity_relation)) subclass(u,identity_relation)* -> .
% 299.72/300.38  221458[20:Res:214397.1,203257.1] || subclass(symmetrization_of(identity_relation),u)* equal(identity_relation,u) -> .
% 299.72/300.38  221457[20:Res:214397.1,204710.1] || subclass(symmetrization_of(identity_relation),u)* subclass(u,identity_relation) -> .
% 299.72/300.38  221474[20:Res:7.1,221466.0] || equal(complement(singleton(regular(symmetrization_of(identity_relation)))),symmetrization_of(identity_relation))** -> .
% 299.72/300.38  5320[5:Rew:5180.0,5126.1] || subclass(u,intersection(v,w))* -> equal(u,identity_relation) member(regular(u),w).
% 299.72/300.38  221466[20:MRR:221420.1,212515.0] || subclass(symmetrization_of(identity_relation),complement(singleton(regular(symmetrization_of(identity_relation)))))* -> .
% 299.72/300.38  214397[20:Res:214392.0,2.0] || subclass(symmetrization_of(identity_relation),u) -> member(regular(symmetrization_of(identity_relation)),u)*.
% 299.72/300.38  214015[17:Res:195388.1,153534.1] || subclass(domain_relation,flip(u))* equal(complement(u),universal_class) -> .
% 299.72/300.38  213922[17:Res:195387.1,153534.1] || subclass(domain_relation,rotate(u))* equal(complement(u),universal_class) -> .
% 299.72/300.38  5586[5:Rew:5180.0,4908.0] ||  -> equal(symmetric_difference(u,v),identity_relation) member(regular(symmetric_difference(u,v)),union(u,v))*.
% 299.72/300.38  221324[17:Res:7.1,221288.0] || equal(rotate(element_relation),domain_relation)** -> .
% 299.72/300.38  221288[17:Res:213904.1,5188.0] || subclass(domain_relation,rotate(element_relation))* -> .
% 299.72/300.38  776[0:Res:608.1,2.0] || member(u,cantor(v))*+ subclass(domain_of(v),w)* -> member(u,w)*.
% 299.72/300.38  213291[17:Res:641.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(ordered_pair(u,v)),identity_relation)**.
% 299.72/300.38  213258[17:Res:12.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(unordered_pair(u,v)),identity_relation)**.
% 299.72/300.38  213115[17:Res:641.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(ordered_pair(u,v)),identity_relation)**.
% 299.72/300.38  27934[0:Res:689.1,23.0] || member(u,universal_class) -> member(u,union(v,w))* member(u,complement(w)).
% 299.72/300.38  213082[17:Res:12.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(unordered_pair(u,v)),identity_relation)**.
% 299.72/300.38  220822[20:SoR:220713.0,72.1] one_to_one(inverse(identity_relation)) || subclass(cross_product(universal_class,universal_class),identity_relation)* -> .
% 299.72/300.38  220713[20:Res:63.1,220661.0] function(inverse(identity_relation)) || subclass(cross_product(universal_class,universal_class),identity_relation)* -> .
% 299.72/300.38  220729[20:Res:7.1,220662.0] || equal(u,inverse(identity_relation))* equal(identity_relation,u) -> .
% 299.72/300.38  27933[0:Res:689.1,22.0] || member(u,universal_class) -> member(u,union(v,w))* member(u,complement(v)).
% 299.72/300.38  220714[20:Res:7.1,220661.0] || equal(u,inverse(identity_relation)) subclass(u,identity_relation)* -> .
% 299.72/300.38  220662[20:Res:212352.1,203257.1] || subclass(inverse(identity_relation),u)* equal(identity_relation,u) -> .
% 299.72/300.38  220661[20:Res:212352.1,204710.1] || subclass(inverse(identity_relation),u)* subclass(u,identity_relation) -> .
% 299.72/300.38  220687[20:Res:7.1,220670.0] || equal(complement(singleton(regular(symmetrization_of(identity_relation)))),inverse(identity_relation))** -> .
% 299.72/300.38  1001[0:Res:762.1,2.0] || subclass(universal_class,u)*+ subclass(u,v)* -> member(unordered_pair(w,x),v)*.
% 299.72/300.38  220670[20:MRR:220625.1,212515.0] || subclass(inverse(identity_relation),complement(singleton(regular(symmetrization_of(identity_relation)))))* -> .
% 299.72/300.38  220665[20:Res:212352.1,212343.0] || subclass(inverse(identity_relation),complement(inverse(identity_relation)))* -> .
% 299.72/300.38  212352[20:Res:212334.0,2.0] || subclass(inverse(identity_relation),u) -> member(regular(symmetrization_of(identity_relation)),u)*.
% 299.72/300.38  5172[0:Res:762.1,944.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(unordered_pair(w,x),union(u,v))*.
% 299.72/300.38  220483[9:Res:202851.1,220468.0] || equal(complement(complement(singleton(regular(complement(symmetrization_of(identity_relation)))))),identity_relation)** -> .
% 299.72/300.38  220482[9:Res:7.1,220468.0] || equal(complement(singleton(regular(complement(symmetrization_of(identity_relation))))),universal_class)** -> .
% 299.72/300.38  220468[9:MRR:220423.1,207796.0] || subclass(universal_class,complement(singleton(regular(complement(symmetrization_of(identity_relation))))))* -> .
% 299.72/300.38  8994[0:Res:7.1,771.1] || equal(u,unordered_pair(v,w))*+ member(v,universal_class) -> member(v,u)*.
% 299.72/300.38  207805[9:Res:207784.0,2.0] || subclass(universal_class,u) -> member(regular(complement(symmetrization_of(identity_relation))),u)*.
% 299.72/300.38  220369[5:MRR:220365.1,29469.1] || member(u,inverse(identity_relation)) -> member(u,symmetrization_of(identity_relation))*.
% 299.72/300.38  180196[5:Res:165860.0,25.1] || member(u,inverse(identity_relation)) -> subclass(singleton(u),symmetrization_of(identity_relation))*.
% 299.72/300.38  165860[5:SpR:124149.0,162506.1] ||  -> member(u,complement(inverse(identity_relation)))* subclass(singleton(u),symmetrization_of(identity_relation)).
% 299.72/300.38  8967[0:Res:7.1,770.1] || equal(u,unordered_pair(v,w))*+ member(w,universal_class) -> member(w,u)*.
% 299.72/300.38  210764[5:SpL:69.0,208741.0] || subclass(universal_class,apply(u,v))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  210759[5:SpL:69.0,208740.0] || equal(apply(u,v),universal_class)** subclass(element_relation,identity_relation) -> .
% 299.72/300.38  210239[15:SpR:210176.1,120676.0] one_to_one(cross_product(u,universal_class)) ||  -> equal(image(universal_class,u),universal_class)**.
% 299.72/300.38  5322[5:Rew:5180.0,5124.2] || subclass(u,complement(v)) member(regular(u),v)* -> equal(u,identity_relation).
% 299.72/300.38  209749[17:SpR:209320.1,647.0] function(u) ||  -> equal(ordered_pair(identity_relation,u),singleton(singleton(identity_relation)))**.
% 299.72/300.38  209302[17:MRR:4801.2,209295.0] single_valued_class(singleton(u)) || member(u,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  209249[15:SpR:208959.1,39.0] function(flip(cross_product(u,universal_class))) ||  -> equal(inverse(u),universal_class)**.
% 299.72/300.38  5576[5:Rew:5180.0,4894.0] ||  -> equal(intersection(u,singleton(v)),identity_relation) equal(regular(intersection(u,singleton(v))),v)**.
% 299.72/300.38  209244[15:SpR:208959.1,54.0] function(restrict(element_relation,universal_class,u)) ||  -> equal(sum_class(u),universal_class)**.
% 299.72/300.38  208807[14:SpL:69.0,208738.0] || subclass(omega,apply(u,v))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  208802[14:SpL:69.0,208737.0] || equal(apply(u,v),omega)** subclass(element_relation,identity_relation) -> .
% 299.72/300.38  219835[5:Res:5201.1,208733.0] inductive(apply(u,v)) || subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  5601[5:Rew:5180.0,5021.0] ||  -> equal(intersection(singleton(u),v),identity_relation) equal(regular(intersection(singleton(u),v)),u)**.
% 299.72/300.38  208733[5:SpL:69.0,208714.0] || member(identity_relation,apply(u,v))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  208638[5:SpL:40.0,208585.0] || member(inverse(u),range_of(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  219778[10:Res:202851.1,219767.0] || equal(complement(complement(singleton(regular(complement(power_class(universal_class)))))),identity_relation)** -> .
% 299.72/300.38  219777[10:Res:7.1,219767.0] || equal(complement(singleton(regular(complement(power_class(universal_class))))),universal_class)** -> .
% 299.72/300.38  5545[5:Rew:5180.0,4852.1] || subclass(omega,u) -> equal(integer_of(not_subclass_element(v,u)),identity_relation)** subclass(v,u).
% 299.72/300.38  219767[10:MRR:219723.1,208137.0] || subclass(universal_class,complement(singleton(regular(complement(power_class(universal_class))))))* -> .
% 299.72/300.38  208146[10:Res:208126.0,2.0] || subclass(universal_class,u) -> member(regular(complement(power_class(universal_class))),u)*.
% 299.72/300.38  219629[11:Res:202851.1,219617.0] || equal(complement(complement(singleton(regular(complement(power_class(identity_relation)))))),identity_relation)** -> .
% 299.72/300.38  219628[11:Res:7.1,219617.0] || equal(complement(singleton(regular(complement(power_class(identity_relation))))),universal_class)** -> .
% 299.72/300.38  5467[5:Rew:5180.0,4821.1] || subclass(omega,intersection(u,v))*+ -> equal(integer_of(w),identity_relation) member(w,u)*.
% 299.72/300.38  219617[11:MRR:219571.1,207955.0] || subclass(universal_class,complement(singleton(regular(complement(power_class(identity_relation))))))* -> .
% 299.72/300.38  207964[11:Res:207942.0,2.0] || subclass(universal_class,u) -> member(regular(complement(power_class(identity_relation))),u)*.
% 299.72/300.38  207952[11:SpR:203228.1,207942.0] || equal(identity_relation,u) -> member(regular(complement(power_class(u))),universal_class)*.
% 299.72/300.38  219418[7:Res:207245.1,202413.0] || subclass(complement(u),identity_relation) -> member(identity_relation,symmetrization_of(u))*.
% 299.72/300.38  5466[5:Rew:5180.0,4822.1] || subclass(omega,intersection(u,v))*+ -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.72/300.38  219417[5:Res:207245.1,202624.0] || subclass(complement(u),identity_relation) -> member(omega,symmetrization_of(u))*.
% 299.72/300.38  219314[7:Res:207244.1,202413.0] || subclass(complement(u),identity_relation) -> member(identity_relation,successor(u))*.
% 299.72/300.38  219313[5:Res:207244.1,202624.0] || subclass(complement(u),identity_relation) -> member(omega,successor(u))*.
% 299.72/300.38  806[0:SpL:647.0,15.0] || member(singleton(singleton(singleton(u))),cross_product(v,w))* -> member(singleton(u),v).
% 299.72/300.38  207228[5:SpR:204745.1,119684.0] || subclass(complement(u),identity_relation)* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.38  20367[0:Res:780.2,15.0] || member(u,universal_class)* subclass(rest_relation,cross_product(v,w))*+ -> member(u,v)*.
% 299.72/300.38  20176[0:Res:781.2,15.0] || member(u,universal_class)* subclass(domain_relation,cross_product(v,w))*+ -> member(u,v)*.
% 299.72/300.38  206847[5:SpR:204330.1,119684.0] || equal(complement(u),identity_relation) -> equal(symmetric_difference(universal_class,u),identity_relation)**.
% 299.72/300.38  206654[5:Res:203299.1,816.1] || equal(complement(u),identity_relation) subclass(universal_class,complement(u))* -> .
% 299.72/300.38  206267[5:Res:205509.1,201813.0] || equal(cantor(u),identity_relation) subclass(universal_class,cantor(u))* -> .
% 299.72/300.38  210193[15:Rew:210177.1,210182.2] one_to_one(inverse(u)) || subclass(universal_class,v) -> maps(inverse(u),universal_class,v)*.
% 299.72/300.38  206266[5:Res:205509.1,201815.0] || equal(cantor(u),identity_relation) subclass(domain_relation,cantor(u))* -> .
% 299.72/300.38  205967[5:SpL:40.0,204822.0] || subclass(range_of(u),identity_relation)* -> equal(cantor(inverse(u)),identity_relation).
% 299.72/300.38  205727[5:SpL:40.0,203320.0] || equal(range_of(u),identity_relation) -> equal(cantor(inverse(u)),identity_relation)**.
% 299.72/300.38  192766[17:MRR:192747.2,5188.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* member(v,domain_of(u)) -> .
% 299.72/300.38  205691[5:MRR:205618.2,5240.0] || equal(rest_of(u),identity_relation)** equal(rest_of(u),rest_relation) -> .
% 299.72/300.38  205651[5:SpR:203318.1,40.0] || equal(rest_of(inverse(u)),identity_relation)** -> equal(range_of(u),identity_relation).
% 299.72/300.38  8774[0:Res:7.1,3684.0] || equal(u,universal_class)+ well_ordering(v,u)* -> member(least(v,universal_class),universal_class)*.
% 299.72/300.38  205595[14:MRR:205525.2,5188.0] || equal(cantor(u),identity_relation)** equal(cantor(u),omega) -> .
% 299.72/300.38  205592[5:MRR:205517.2,5240.0] || equal(cantor(u),identity_relation)** equal(cantor(u),universal_class) -> .
% 299.72/300.38  205548[5:SpR:203313.1,40.0] || equal(cantor(inverse(u)),identity_relation)** -> equal(range_of(u),identity_relation).
% 299.72/300.38  205353[5:Res:55.1,203295.1] || member(u,universal_class) equal(singleton(sum_class(u)),identity_relation)** -> .
% 299.72/300.38  28696[0:Res:12.0,3710.0] || subclass(rest_relation,u)+ well_ordering(v,u)* -> member(least(v,rest_relation),rest_relation)*.
% 299.72/300.38  205349[5:Res:57.1,203295.1] || member(u,universal_class) equal(singleton(power_class(u)),identity_relation)** -> .
% 299.72/300.38  205348[5:Res:205098.1,203295.1] || equal(identity_relation,u) equal(singleton(power_class(u)),identity_relation)** -> .
% 299.72/300.38  218089[5:Res:5213.0,205293.1] || subclass(universal_class,complement(omega))* -> equal(integer_of(power_class(identity_relation)),identity_relation).
% 299.72/300.38  218167[5:Res:202851.1,218115.0] || equal(complement(complement(unordered_pair(u,power_class(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  218132[5:Res:202851.1,218114.0] || equal(complement(complement(unordered_pair(power_class(identity_relation),u))),identity_relation)** -> .
% 299.72/300.38  122708[5:Rew:119684.0,22626.0] ||  -> equal(complement(intersection(union(u,identity_relation),complement(v))),union(symmetric_difference(universal_class,u),v))**.
% 299.72/300.38  218166[5:Res:7.1,218115.0] || equal(complement(unordered_pair(u,power_class(identity_relation))),universal_class)** -> .
% 299.72/300.38  218131[5:Res:7.1,218114.0] || equal(complement(unordered_pair(power_class(identity_relation),u)),universal_class)** -> .
% 299.72/300.38  218170[5:MRR:218163.1,348.0] || equal(unordered_pair(u,power_class(identity_relation)),identity_relation)** -> .
% 299.72/300.38  218115[5:MRR:218091.0,205135.0] || subclass(universal_class,complement(unordered_pair(u,power_class(identity_relation))))* -> .
% 299.72/300.38  5323[5:Rew:5180.0,5119.1] || subclass(u,omega) -> equal(u,identity_relation) equal(integer_of(regular(u)),regular(u))**.
% 299.72/300.38  218135[5:MRR:218128.1,348.0] || equal(unordered_pair(power_class(identity_relation),u),identity_relation)** -> .
% 299.72/300.38  218114[5:MRR:218090.0,205135.0] || subclass(universal_class,complement(unordered_pair(power_class(identity_relation),u)))* -> .
% 299.72/300.38  205293[5:Res:205150.1,25.1] || subclass(universal_class,complement(u)) member(power_class(identity_relation),u)* -> .
% 299.72/300.38  8090[5:Res:5220.1,5405.0] || member(regular(regular(u)),u)* -> equal(regular(u),identity_relation) equal(u,identity_relation).
% 299.72/300.38  205109[17:MRR:205049.1,5265.0] || equal(identity_relation,u) equal(rest_of(power_class(u)),rest_relation)** -> .
% 299.72/300.38  205063[11:SpL:203228.1,189486.0] || equal(identity_relation,u) subclass(singleton(identity_relation),power_class(u))* -> .
% 299.72/300.38  205062[11:SpL:203228.1,189120.0] || equal(identity_relation,u) equal(power_class(u),singleton(identity_relation))** -> .
% 299.72/300.38  22431[5:Res:5201.1,588.0] inductive(intersection(complement(u),complement(v))) || member(identity_relation,union(u,v))* -> .
% 299.72/300.38  205060[11:SpL:203228.1,203685.0] || equal(identity_relation,u) equal(complement(power_class(u)),identity_relation)** -> .
% 299.72/300.38  204810[15:Res:192110.1,204710.1] || equal(u,singleton(singleton(identity_relation)))*+ subclass(u,identity_relation)* -> .
% 299.72/300.38  5360[5:Rew:5180.0,4820.2] || subclass(omega,complement(u))*+ member(v,u)* -> equal(integer_of(v),identity_relation).
% 299.72/300.38  204395[15:Res:192110.1,203257.1] || equal(u,singleton(singleton(identity_relation)))* equal(identity_relation,u) -> .
% 299.72/300.38  204147[5:Rew:56.0,204136.0] || equal(power_class(u),identity_relation) member(omega,power_class(u))* -> .
% 299.72/300.38  204088[5:Rew:56.0,204065.0] || equal(power_class(u),identity_relation) member(identity_relation,power_class(u))* -> .
% 299.72/300.38  217575[5:MRR:217570.1,202629.0] || equal(union(singleton(omega),identity_relation),identity_relation)** -> .
% 299.72/300.38  122711[5:Rew:119684.0,22728.0] ||  -> equal(complement(intersection(complement(u),union(v,identity_relation))),union(u,symmetric_difference(universal_class,v)))**.
% 299.72/300.38  203762[5:Rew:118447.0,203674.0] || equal(union(u,identity_relation),identity_relation) -> member(omega,complement(u))*.
% 299.72/300.38  203761[5:Rew:118447.0,203673.0] || equal(union(u,identity_relation),identity_relation)** member(omega,u) -> .
% 299.72/300.38  5544[5:Rew:5180.0,4828.1] || subclass(omega,element_relation) -> equal(integer_of(ordered_pair(u,v)),identity_relation)** member(u,v).
% 299.72/300.38  203759[5:Rew:118447.0,203671.0] || equal(union(u,identity_relation),identity_relation)** member(identity_relation,u) -> .
% 299.72/300.38  203726[5:Res:202851.1,146240.0] || equal(complement(domain_of(u)),identity_relation)** -> equal(cantor(u),universal_class).
% 299.72/300.38  203703[5:Res:202851.1,40248.1] || equal(complement(complement(u)),identity_relation)** subclass(domain_relation,u) -> .
% 299.72/300.38  203702[5:Res:202851.1,790.0] || equal(complement(complement(u)),identity_relation)** member(omega,u) -> .
% 299.72/300.38  693[0:SpL:647.0,142.0] || member(singleton(singleton(singleton(u))),rest_of(v))* -> member(singleton(u),domain_of(v)).
% 299.72/300.38  203701[5:Res:202851.1,3615.1] || equal(complement(complement(u)),identity_relation)** subclass(universal_class,u) -> .
% 299.72/300.38  203700[5:Res:202851.1,124986.1] || equal(complement(complement(u)),identity_relation)** equal(u,universal_class) -> .
% 299.72/300.38  217162[17:MRR:217126.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(power_class(identity_relation)))*+ -> .
% 299.72/300.38  217160[17:MRR:217115.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(omega))*+ -> .
% 299.72/300.38  20366[0:Res:780.2,142.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> member(u,domain_of(v))*.
% 299.72/300.38  203698[5:Res:202851.1,5195.0] || equal(complement(complement(u)),identity_relation)** member(identity_relation,u) -> .
% 299.72/300.38  203667[5:Res:202851.1,79052.0] || equal(complement(cantor(u)),identity_relation)** -> equal(domain_of(u),universal_class).
% 299.72/300.38  203644[5:Res:202851.1,27170.1] || equal(complement(u),identity_relation) equal(complement(u),domain_relation)** -> .
% 299.72/300.38  203642[14:Res:202851.1,178301.0] || equal(complement(u),identity_relation)** equal(complement(u),omega) -> .
% 299.72/300.38  203294[5:MRR:202978.2,5240.0] || equal(range_of(u),identity_relation)** equal(range_of(u),universal_class) -> .
% 299.72/300.38  203293[5:MRR:202976.2,5240.0] || equal(sum_class(u),identity_relation)** equal(sum_class(u),universal_class) -> .
% 299.72/300.38  203292[5:MRR:202971.2,5240.0] || equal(power_class(u),identity_relation)** equal(power_class(u),universal_class) -> .
% 299.72/300.38  203287[5:MRR:202935.2,5240.0] || equal(inverse(u),identity_relation)** equal(inverse(u),universal_class) -> .
% 299.72/300.38  203273[5:MRR:202854.2,5240.0] || equal(complement(u),identity_relation)** equal(complement(u),universal_class) -> .
% 299.72/300.38  202421[7:Res:179748.1,201810.1] || member(identity_relation,u) subclass(union(u,identity_relation),identity_relation)* -> .
% 299.72/300.38  202420[7:Res:179749.0,201810.1] || subclass(union(u,identity_relation),identity_relation)* -> member(identity_relation,complement(u)).
% 299.72/300.38  8660[0:SpR:44.0,579.0] ||  -> equal(power_class(intersection(complement(u),complement(singleton(u)))),complement(image(element_relation,successor(u))))**.
% 299.72/300.38  216494[17:Res:216467.1,816.1] || subclass(rest_relation,domain_relation) subclass(universal_class,complement(rest_relation))* -> .
% 299.72/300.38  216502[17:Res:216467.1,111279.0] || subclass(rest_relation,domain_relation) well_ordering(universal_class,rest_relation)* -> .
% 299.72/300.38  8659[0:SpR:114.0,579.0] ||  -> equal(power_class(intersection(complement(u),complement(inverse(u)))),complement(image(element_relation,symmetrization_of(u))))**.
% 299.72/300.38  216467[17:SpR:647.0,214641.1] || subclass(rest_relation,domain_relation) -> member(singleton(singleton(singleton(identity_relation))),rest_relation)*.
% 299.72/300.38  216461[17:SpR:191728.0,214641.1] || subclass(rest_relation,domain_relation) -> member(ordered_pair(identity_relation,identity_relation),rest_relation)*.
% 299.72/300.38  214641[17:MRR:214591.1,176.0] || subclass(rest_relation,domain_relation) -> member(ordered_pair(singleton(u),identity_relation),rest_relation)*.
% 299.72/300.38  168474[5:Res:153612.1,5701.0] || equal(complement(compose(identity_relation,identity_relation)),universal_class)**+ -> transitive(identity_relation,u)*.
% 299.72/300.38  211349[5:MRR:211338.1,29469.1] || equal(power_class(identity_relation),identity_relation) member(u,power_class(identity_relation))* -> .
% 299.72/300.38  208739[7:Res:125624.1,208714.0] || equal(sum_class(u),singleton(identity_relation))**+ subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  208736[5:Res:203246.1,208714.0] || equal(complement(sum_class(u)),identity_relation)** subclass(element_relation,identity_relation) -> .
% 299.72/300.38  204767[5:Res:29487.1,204710.1] || member(u,element_relation)* subclass(compose(element_relation,universal_class),identity_relation)*+ -> .
% 299.72/300.38  216191[0:Res:53.0,23342.0] || subclass(rest_relation,successor_relation)* -> equal(rest_of(omega),successor(omega)).
% 299.72/300.38  23342[0:Res:780.2,46.0] || member(u,universal_class)* subclass(rest_relation,successor_relation) -> equal(rest_of(u),successor(u)).
% 299.72/300.38  216156[20:SoR:215352.0,72.1] one_to_one(symmetrization_of(identity_relation)) || well_ordering(universal_class,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  216153[20:SoR:215338.0,72.1] one_to_one(inverse(identity_relation)) || well_ordering(universal_class,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  215524[17:SoR:210090.0,72.1] one_to_one(apply(choice,omega)) ||  -> equal(apply(choice,omega),identity_relation)**.
% 299.72/300.38  215352[20:Res:63.1,214825.0] function(symmetrization_of(identity_relation)) || well_ordering(universal_class,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  215338[20:Res:63.1,214823.0] function(inverse(identity_relation)) || well_ordering(universal_class,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  5344[5:Rew:5180.0,613.1] || member(regular(complement(domain_of(u))),cantor(u))* -> equal(complement(domain_of(u)),identity_relation).
% 299.72/300.38  216040[17:MRR:216030.0,46289.2] || subclass(rest_relation,u) well_ordering(universal_class,u)* -> .
% 299.72/300.38  214456[17:MRR:214409.1,205135.0] || subclass(rest_relation,domain_relation) -> member(ordered_pair(power_class(identity_relation),identity_relation),rest_relation)*.
% 299.72/300.38  213323[17:Res:212362.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(least(element_relation,omega)),identity_relation)**.
% 299.72/300.38  213314[20:Res:212353.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(regular(symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.38  213147[17:Res:212362.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(least(element_relation,omega)),identity_relation)**.
% 299.72/300.38  213138[20:Res:212353.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(regular(symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.38  192103[15:SpL:191735.0,20.0] || member(singleton(singleton(identity_relation)),element_relation)* -> member(identity_relation,range_of(identity_relation)).
% 299.72/300.38  126371[5:SoR:122912.0,72.1] one_to_one(image(successor_relation,cross_product(universal_class,universal_class))) || member(identity_relation,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  25719[5:SpR:114.0,22911.0] ||  -> equal(symmetric_difference(universal_class,complement(inverse(identity_relation))),intersection(symmetrization_of(identity_relation),universal_class))**.
% 299.72/300.38  122494[5:Rew:118446.0,50227.0] ||  -> equal(complement(image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation))))**.
% 299.72/300.38  126410[5:Res:3366.1,122837.0] || member(cross_product(universal_class,cross_product(universal_class,universal_class)),universal_class)* -> member(least(element_relation,composition_function),composition_function).
% 299.72/300.38  210902[7:Res:125624.1,208753.0] || equal(rest_of(identity_relation),singleton(identity_relation)) subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  210090[17:SpR:209321.1,865.0] function(apply(choice,omega)) ||  -> equal(apply(choice,omega),identity_relation)**.
% 299.72/300.38  215519[17:SoR:215516.0,72.1] one_to_one(successor(identity_relation)) ||  -> .
% 299.72/300.38  215516[17:MRR:215515.1,125508.1] function(successor(identity_relation)) ||  -> .
% 299.72/300.38  28313[0:Res:348.0,3691.0] || well_ordering(u,v)+ -> subclass(v,w)* member(least(u,v),v)*.
% 299.72/300.38  209303[17:MRR:189711.2,209295.0] single_valued_class(successor(identity_relation)) || member(identity_relation,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  215353[20:Res:7.1,214825.0] || equal(u,symmetrization_of(identity_relation)) well_ordering(universal_class,u)* -> .
% 299.72/300.38  215339[20:Res:7.1,214823.0] || equal(u,inverse(identity_relation)) well_ordering(universal_class,u)* -> .
% 299.72/300.38  215332[17:Res:7.1,214014.0] || equal(flip(u),domain_relation)** equal(identity_relation,u) -> .
% 299.72/300.38  28061[3:Res:348.0,3692.1] inductive(u) || well_ordering(v,u) -> member(least(v,u),u)*.
% 299.72/300.38  215304[17:Res:7.1,214013.0] || equal(flip(u),domain_relation) subclass(u,identity_relation)* -> .
% 299.72/300.38  215299[17:Res:7.1,213921.0] || equal(rotate(u),domain_relation)** equal(identity_relation,u) -> .
% 299.72/300.38  215296[17:Res:7.1,213920.0] || equal(rotate(u),domain_relation) subclass(u,identity_relation)* -> .
% 299.72/300.38  215354[20:Res:348.0,214825.0] || well_ordering(universal_class,symmetrization_of(identity_relation))* -> .
% 299.72/300.38  5403[5:Rew:5180.0,3552.1] || well_ordering(u,v) -> equal(v,identity_relation) member(least(u,v),v)*.
% 299.72/300.38  214825[20:Res:214392.0,3924.0] || subclass(symmetrization_of(identity_relation),u)* well_ordering(universal_class,u) -> .
% 299.72/300.38  215340[20:Res:348.0,214823.0] || well_ordering(universal_class,inverse(identity_relation))* -> .
% 299.72/300.38  214823[20:Res:212334.0,3924.0] || subclass(inverse(identity_relation),u)* well_ordering(universal_class,u) -> .
% 299.72/300.38  214014[17:Res:195388.1,203257.1] || subclass(domain_relation,flip(u))* equal(identity_relation,u) -> .
% 299.72/300.38  5433[5:Rew:5180.0,3603.1] || well_ordering(u,v) -> equal(segment(u,v,least(u,v)),identity_relation)**.
% 299.72/300.38  214013[17:Res:195388.1,204710.1] || subclass(domain_relation,flip(u))* subclass(u,identity_relation) -> .
% 299.72/300.38  213921[17:Res:195387.1,203257.1] || subclass(domain_relation,rotate(u))* equal(identity_relation,u) -> .
% 299.72/300.38  213920[17:Res:195387.1,204710.1] || subclass(domain_relation,rotate(u))* subclass(u,identity_relation) -> .
% 299.72/300.38  215284[5:Res:202851.1,215275.0] || equal(complement(complement(singleton(least(element_relation,omega)))),identity_relation)** -> .
% 299.72/300.38  28293[0:Res:5.0,3691.0] || well_ordering(u,universal_class)+ -> subclass(v,w)* member(least(u,v),v)*.
% 299.72/300.38  215275[5:MRR:215234.1,212531.0] || subclass(universal_class,complement(singleton(least(element_relation,omega))))* -> .
% 299.72/300.38  212539[4:Res:212362.0,2.0] || subclass(universal_class,u) -> member(least(element_relation,omega),u)*.
% 299.72/300.38  215187[20:Res:202851.1,215168.0] || equal(complement(complement(singleton(regular(symmetrization_of(identity_relation))))),identity_relation)** -> .
% 299.72/300.38  215186[20:Res:7.1,215168.0] || equal(complement(singleton(regular(symmetrization_of(identity_relation)))),universal_class)** -> .
% 299.72/300.38  1006[0:Res:762.1,596.0] || subclass(universal_class,restrict(u,v,w))*+ -> member(unordered_pair(x,y),u)*.
% 299.72/300.38  215168[20:MRR:215126.1,212515.0] || subclass(universal_class,complement(singleton(regular(symmetrization_of(identity_relation)))))* -> .
% 299.72/300.38  215162[20:Res:212523.1,212343.0] || subclass(universal_class,complement(inverse(identity_relation)))* -> .
% 299.72/300.38  212523[20:Res:212353.0,2.0] || subclass(universal_class,u) -> member(regular(symmetrization_of(identity_relation)),u)*.
% 299.72/300.38  215026[5:Res:162500.1,215017.0] || equal(complement(singleton(least(element_relation,omega))),universal_class)** -> .
% 299.72/300.38  783[0:Res:648.0,2.0] || subclass(ordered_pair(u,v),w) -> member(unordered_pair(u,singleton(v)),w)*.
% 299.72/300.38  215024[5:Res:7.1,215017.0] || equal(complement(singleton(least(element_relation,omega))),omega)** -> .
% 299.72/300.38  215025[5:Res:52.1,215017.0] inductive(complement(singleton(least(element_relation,omega)))) ||  -> .
% 299.72/300.38  215017[5:MRR:214977.1,212531.0] || subclass(omega,complement(singleton(least(element_relation,omega))))* -> .
% 299.72/300.38  212361[4:Res:212188.0,2.0] || subclass(omega,u) -> member(least(element_relation,omega),u)*.
% 299.72/300.38  28041[3:Res:5.0,3692.1] inductive(u) || well_ordering(v,universal_class) -> member(least(v,u),u)*.
% 299.72/300.38  207990[0:Res:122840.1,654.0] || well_ordering(universal_class,complement(element_relation))*+ -> member(singleton(u),u)*.
% 299.72/300.38  168277[9:Res:168274.0,2.0] || subclass(complement(inverse(identity_relation)),u)* -> member(identity_relation,u).
% 299.72/300.38  176604[9:Res:7.1,168277.0] || equal(u,complement(inverse(identity_relation)))*+ -> member(identity_relation,u)*.
% 299.72/300.38  214842[14:Res:178017.0,3924.0] || subclass(omega,u) well_ordering(universal_class,u)* -> .
% 299.72/300.38  3924[0:Res:641.0,128.3] || member(u,v)*+ subclass(v,w)* well_ordering(universal_class,w)* -> .
% 299.72/300.38  191363[9:MRR:191358.2,189081.0] inductive(singleton(u)) || member(u,inverse(identity_relation))* -> .
% 299.72/300.38  213256[17:Res:176.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(singleton(u)),identity_relation)**.
% 299.72/300.38  213080[17:Res:176.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(singleton(u)),identity_relation)**.
% 299.72/300.38  38763[5:MRR:38762.1,5184.0] || transitive(identity_relation,u)*+ -> equal(compose(identity_relation,identity_relation),identity_relation)**.
% 299.72/300.38  5325[5:Rew:5180.0,5121.1] || subclass(u,singleton(v))* -> equal(u,identity_relation) equal(regular(u),v).
% 299.72/300.38  6286[5:Res:7.1,5701.0] || equal(compose(identity_relation,identity_relation),identity_relation)**+ -> transitive(identity_relation,u)*.
% 299.72/300.38  5701[5:Rew:5180.0,5471.1] || subclass(compose(identity_relation,identity_relation),identity_relation)*+ -> transitive(identity_relation,u)*.
% 299.72/300.38  214356[17:MRR:214315.1,53.0] || equal(domain_relation,rest_relation) -> member(ordered_pair(omega,identity_relation),rest_relation)*.
% 299.72/300.38  213261[17:Res:205135.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(power_class(identity_relation)),identity_relation)**.
% 299.72/300.38  801[0:SpL:647.0,16.0] || member(singleton(singleton(singleton(u))),cross_product(v,w))* -> member(u,w).
% 299.72/300.38  213085[17:Res:205135.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(power_class(identity_relation)),identity_relation)**.
% 299.72/300.38  199363[15:Res:122840.1,192103.0] || well_ordering(universal_class,complement(element_relation))* -> member(identity_relation,range_of(identity_relation)).
% 299.72/300.38  214400[20:Res:214392.0,204710.1] || subclass(symmetrization_of(identity_relation),identity_relation)* -> .
% 299.72/300.38  214392[20:MRR:214391.0,212353.0] ||  -> member(regular(symmetrization_of(identity_relation)),symmetrization_of(identity_relation))*.
% 299.72/300.38  772[0:Res:334.1,2.0] || member(u,universal_class) subclass(singleton(u),v)* -> member(u,v).
% 299.72/300.38  214364[17:Res:7.1,213923.0] || equal(rotate(domain_relation),domain_relation)**+ -> equal(identity_relation,u)*.
% 299.72/300.38  213923[17:Rew:195327.0,213893.1] || subclass(domain_relation,rotate(domain_relation))*+ -> equal(identity_relation,u)*.
% 299.72/300.38  12441[5:Obv:12439.1] || equal(compose_class(identity_relation),domain_relation) -> transitive(identity_relation,u)*.
% 299.72/300.38  214197[17:Res:7.1,213081.0] || equal(domain_relation,rest_relation) -> equal(rest_of(omega),identity_relation)**.
% 299.72/300.38  29726[0:MRR:701.0,29531.1] ||  -> member(not_subclass_element(complement(complement(u)),v),u)* subclass(complement(complement(u)),v).
% 299.72/300.38  213257[17:Res:53.0,195222.0] || subclass(domain_relation,rest_relation)* -> equal(rest_of(omega),identity_relation).
% 299.72/300.38  213087[17:Res:5265.0,195221.0] || subclass(rest_relation,domain_relation)* -> equal(rest_of(identity_relation),identity_relation).
% 299.72/300.38  213081[17:Res:53.0,195221.0] || subclass(rest_relation,domain_relation)* -> equal(rest_of(omega),identity_relation).
% 299.72/300.38  212364[4:Res:212188.0,158.0] ||  -> equal(integer_of(least(element_relation,omega)),least(element_relation,omega))**.
% 299.72/300.38  614[0:Res:608.1,4.0] || member(not_subclass_element(u,domain_of(v)),cantor(v))* -> subclass(u,domain_of(v)).
% 299.72/300.38  212343[20:MRR:124247.1,212333.0] || member(regular(symmetrization_of(identity_relation)),complement(inverse(identity_relation)))* -> .
% 299.72/300.38  207747[9:MRR:207746.1,203684.0] ||  -> member(regular(complement(symmetrization_of(identity_relation))),complement(inverse(identity_relation)))*.
% 299.72/300.38  214044[17:Res:7.1,213928.0] || equal(rotate(cross_product(universal_class,universal_class)),domain_relation)** -> .
% 299.72/300.38  213928[17:AED:213898.1] || subclass(domain_relation,rotate(cross_product(universal_class,universal_class)))* -> .
% 299.72/300.38  214027[17:Res:7.1,214016.0] || equal(flip(element_relation),domain_relation)** -> .
% 299.72/300.38  214024[17:Res:7.1,213986.0] || equal(flip(identity_relation),domain_relation)** -> .
% 299.72/300.38  214016[17:MRR:214006.1,5188.0] || subclass(domain_relation,flip(element_relation))* -> .
% 299.72/300.38  213986[17:Res:195388.1,5188.0] || subclass(domain_relation,flip(identity_relation))* -> .
% 299.72/300.38  195388[17:Rew:195327.0,20197.1] || subclass(domain_relation,flip(u)) -> member(ordered_pair(ordered_pair(v,w),identity_relation),u)*.
% 299.72/300.38  213933[17:Res:7.1,213884.0] || equal(rotate(identity_relation),domain_relation)** -> .
% 299.72/300.38  213884[17:Res:195387.1,5188.0] || subclass(domain_relation,rotate(identity_relation))* -> .
% 299.72/300.38  195387[17:Rew:195327.0,20196.1] || subclass(domain_relation,rotate(u)) -> member(ordered_pair(ordered_pair(v,identity_relation),w),u)*.
% 299.72/300.38  207786[9:Res:207747.0,25.1] || member(regular(complement(symmetrization_of(identity_relation))),inverse(identity_relation))* -> .
% 299.72/300.38  207796[9:Res:207784.0,203295.1] || equal(singleton(regular(complement(symmetrization_of(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  207799[17:Res:207784.0,195267.1] || equal(rest_of(regular(complement(symmetrization_of(identity_relation)))),rest_relation)** -> .
% 299.72/300.38  7513[5:MRR:7510.0,5.0] ||  -> equal(integer_of(image(u,singleton(v))),identity_relation)** member(apply(u,v),universal_class).
% 299.72/300.38  5362[5:Rew:5180.0,4817.1] || subclass(omega,singleton(u))*+ -> equal(integer_of(v),identity_relation)** equal(v,u)*.
% 299.72/300.38  212533[17:Res:212362.0,195267.1] || equal(rest_of(least(element_relation,omega)),rest_relation)** -> .
% 299.72/300.38  212531[5:Res:212362.0,203295.1] || equal(singleton(least(element_relation,omega)),identity_relation)** -> .
% 299.72/300.38  212517[20:Res:212353.0,195267.1] || equal(rest_of(regular(symmetrization_of(identity_relation))),rest_relation)** -> .
% 299.72/300.38  212515[20:Res:212353.0,203295.1] || equal(singleton(regular(symmetrization_of(identity_relation))),identity_relation)** -> .
% 299.72/300.38  213716[20:MRR:213714.1,189081.0] inductive(singleton(regular(symmetrization_of(identity_relation)))) ||  -> .
% 299.72/300.38  212340[20:MRR:180209.1,212333.0] ||  -> subclass(singleton(regular(symmetrization_of(identity_relation))),symmetrization_of(identity_relation))*.
% 299.72/300.38  213691[20:Res:153612.1,212339.0] || equal(complement(symmetrization_of(identity_relation)),universal_class)** -> .
% 299.72/300.38  123943[5:MRR:123936.1,5185.0] || well_ordering(u,universal_class) -> equal(integer_of(least(u,omega)),least(u,omega))**.
% 299.72/300.38  212339[20:MRR:124245.1,212333.0] || subclass(symmetrization_of(identity_relation),complement(inverse(identity_relation)))* -> .
% 299.72/300.38  207801[17:Res:207784.0,195164.0] ||  -> equal(cantor(regular(complement(symmetrization_of(identity_relation)))),identity_relation)**.
% 299.72/300.38  207802[17:Res:207784.0,195144.0] ||  -> equal(domain_of(regular(complement(symmetrization_of(identity_relation)))),identity_relation)**.
% 299.72/300.38  124039[5:Res:761.1,5405.0] || subclass(universal_class,regular(u))* member(omega,u) -> equal(u,identity_relation).
% 299.72/300.38  208286[9:MRR:208282.1,203684.0] || subclass(complement(symmetrization_of(identity_relation)),inverse(identity_relation))* -> .
% 299.72/300.38  208291[9:Res:153612.1,208286.0] || equal(complement(complement(symmetrization_of(identity_relation))),universal_class)** -> .
% 299.72/300.38  208292[9:Res:7.1,208286.0] || equal(complement(symmetrization_of(identity_relation)),inverse(identity_relation))** -> .
% 299.72/300.38  124149[5:SpR:122359.0,114.0] ||  -> equal(complement(complement(inverse(identity_relation))),symmetrization_of(identity_relation))**.
% 299.72/300.38  657[0:SpL:647.0,46.0] || member(singleton(singleton(singleton(u))),successor_relation)* -> equal(successor(singleton(u)),u).
% 299.72/300.38  180130[9:MRR:180119.1,168274.0] || subclass(universal_class,intersection(symmetrization_of(identity_relation),universal_class))* -> .
% 299.72/300.38  180153[9:Res:7.1,180130.0] || equal(intersection(symmetrization_of(identity_relation),universal_class),universal_class)** -> .
% 299.72/300.38  191075[14:MRR:191064.1,168274.0] || subclass(omega,intersection(symmetrization_of(identity_relation),universal_class))* -> .
% 299.72/300.38  191205[14:Res:7.1,191075.0] || equal(intersection(symmetrization_of(identity_relation),universal_class),omega)** -> .
% 299.72/300.38  195222[17:Rew:195144.1,20185.2] || member(u,universal_class)* subclass(domain_relation,rest_relation) -> equal(rest_of(u),identity_relation).
% 299.72/300.38  201887[9:MRR:124954.1,201884.0] || subclass(complement(inverse(identity_relation)),symmetrization_of(identity_relation))* -> .
% 299.72/300.38  201888[9:MRR:125100.1,201884.0] || equal(complement(inverse(identity_relation)),symmetrization_of(identity_relation))** -> .
% 299.72/300.38  212536[17:Res:212362.0,195144.0] ||  -> equal(domain_of(least(element_relation,omega)),identity_relation)**.
% 299.72/300.38  212535[17:Res:212362.0,195164.0] ||  -> equal(cantor(least(element_relation,omega)),identity_relation)**.
% 299.72/300.38  195221[17:Rew:195144.1,20378.2] || member(u,universal_class)* subclass(rest_relation,domain_relation) -> equal(rest_of(u),identity_relation).
% 299.72/300.38  212520[20:Res:212353.0,195144.0] ||  -> equal(domain_of(regular(symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.38  212519[20:Res:212353.0,195164.0] ||  -> equal(cantor(regular(symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.38  212338[20:MRR:190506.1,212333.0] || equal(complement(inverse(identity_relation)),universal_class)** -> .
% 299.72/300.38  201858[9:MRR:201775.1,168275.0] || subclass(complement(inverse(identity_relation)),identity_relation)* -> .
% 299.72/300.38  201884[9:Res:8453.1,201858.0] || equal(complement(inverse(identity_relation)),identity_relation)** -> .
% 299.72/300.38  168291[9:Res:125624.1,168280.0] || equal(inverse(identity_relation),singleton(identity_relation))** -> .
% 299.72/300.38  203684[9:Res:202851.1,168275.0] || equal(complement(symmetrization_of(identity_relation)),identity_relation)** -> .
% 299.72/300.38  207784[9:Res:207747.0,29469.0] ||  -> member(regular(complement(symmetrization_of(identity_relation))),universal_class)*.
% 299.72/300.38  189096[9:Res:125624.1,189081.0] || equal(symmetrization_of(identity_relation),singleton(identity_relation))** -> .
% 299.72/300.38  189485[9:Rew:189431.0,188902.0] || subclass(singleton(identity_relation),symmetrization_of(identity_relation))* -> .
% 299.72/300.38  212549[17:SoR:212530.0,72.1] one_to_one(least(element_relation,omega)) ||  -> .
% 299.72/300.38  212546[20:SoR:212514.0,72.1] one_to_one(regular(symmetrization_of(identity_relation))) ||  -> .
% 299.72/300.38  212530[17:Res:212362.0,210026.1] function(least(element_relation,omega)) ||  -> .
% 299.72/300.38  212514[20:Res:212353.0,210026.1] function(regular(symmetrization_of(identity_relation))) ||  -> .
% 299.72/300.38  212362[4:Res:212188.0,29469.0] ||  -> member(least(element_relation,omega),universal_class)*.
% 299.72/300.38  212353[20:Res:212334.0,29469.0] ||  -> member(regular(symmetrization_of(identity_relation)),universal_class)*.
% 299.72/300.38  212336[20:MRR:203213.1,212333.0] || equal(inverse(identity_relation),identity_relation)** -> .
% 299.72/300.38  212335[20:MRR:201524.1,212333.0] || subclass(inverse(identity_relation),identity_relation)* -> .
% 299.72/300.38  168280[9:Res:168274.0,25.1] || member(identity_relation,inverse(identity_relation))* -> .
% 299.72/300.38  168274[9:Spt:167391.0] ||  -> member(identity_relation,complement(inverse(identity_relation)))*.
% 299.72/300.38  168294[9:Res:5196.1,168280.0] || subclass(universal_class,inverse(identity_relation))* -> .
% 299.72/300.38  168293[9:Res:119647.1,168280.0] || equal(inverse(identity_relation),universal_class)** -> .
% 299.72/300.38  178061[14:Res:178018.1,168280.0] || subclass(omega,inverse(identity_relation))* -> .
% 299.72/300.38  178084[14:Res:7.1,178061.0] || equal(inverse(identity_relation),omega)** -> .
% 299.72/300.38  168283[9:MRR:126616.1,168280.0] || equal(symmetrization_of(identity_relation),universal_class)** -> .
% 299.72/300.38  168275[9:MRR:124230.1,168274.0] || subclass(universal_class,symmetrization_of(identity_relation))* -> .
% 299.72/300.38  124215[5:SpR:124149.0,47673.0] ||  -> subclass(symmetrization_of(identity_relation),inverse(identity_relation))*.
% 299.72/300.38  5473[5:Rew:5180.0,3828.1] || asymmetric(u,v) subclass(compose(identity_relation,identity_relation),identity_relation) -> transitive(intersection(u,inverse(u)),v)*.
% 299.72/300.38  178205[14:MRR:178189.1,168274.0] || subclass(omega,symmetrization_of(identity_relation))* -> .
% 299.72/300.38  178210[14:Res:7.1,178205.0] || equal(symmetrization_of(identity_relation),omega)** -> .
% 299.72/300.38  189081[9:Res:189059.1,188902.0] || member(identity_relation,symmetrization_of(identity_relation))* -> .
% 299.72/300.38  212188[4:SSi:212124.0,51.0] ||  -> member(least(element_relation,omega),omega)*.
% 299.72/300.38  212333[20:Spt:212294.0,207741.1,211403.0] || equal(symmetrization_of(identity_relation),identity_relation)** -> .
% 299.72/300.38  212334[20:Spt:212294.0,207741.0] ||  -> member(regular(symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.38  205240[17:SpL:205147.0,122838.1] || subclass(rest_relation,rest_of(power_class(identity_relation)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.38  209579[17:SoR:209430.0,72.1] one_to_one(sum_class(cross_product(universal_class,universal_class))) || well_ordering(element_relation,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  209431[17:MRR:4795.2,209429.0] single_valued_class(sum_class(cross_product(universal_class,universal_class))) || member(cross_product(universal_class,universal_class),universal_class)* -> .
% 299.72/300.38  123662[6:MRR:123644.2,122334.0] || member(complement(omega),universal_class) -> equal(integer_of(apply(choice,complement(omega))),identity_relation)**.
% 299.72/300.38  22829[5:Rew:22481.0,8662.0] ||  -> equal(power_class(intersection(complement(singleton(identity_relation)),complement(image(successor_relation,universal_class)))),power_class(identity_relation))**.
% 299.72/300.38  210402[17:SpR:210378.1,646.0] one_to_one(u) ||  -> member(identity_relation,ordered_pair(inverse(u),v))*.
% 299.72/300.38  209751[17:SpR:209320.1,44.0] function(u) ||  -> equal(union(u,identity_relation),successor(u))**.
% 299.72/300.38  210921[17:SoR:209448.0,72.1] one_to_one(least(u,universal_class)) || well_ordering(u,universal_class)* -> .
% 299.72/300.38  210918[17:SoR:209447.0,72.1] one_to_one(least(u,rest_relation)) || well_ordering(u,rest_relation)* -> .
% 299.72/300.38  210915[17:SoR:209446.0,72.1] one_to_one(least(u,rest_relation)) || well_ordering(u,universal_class)* -> .
% 299.72/300.38  210912[17:SoR:209444.0,72.1] function(u) one_to_one(sum_class(image(u,identity_relation))) ||  -> .
% 299.72/300.38  3677[0:Res:63.1,3646.0] function(sum_class(cross_product(universal_class,universal_class))) ||  -> section(element_relation,cross_product(universal_class,universal_class),universal_class)*.
% 299.72/300.38  209484[17:SoR:209295.0,8479.2] single_valued_class(singleton(u)) || equal(singleton(u),identity_relation)** -> .
% 299.72/300.38  209448[17:MRR:209278.2,5240.0] function(least(u,universal_class)) || well_ordering(u,universal_class)* -> .
% 299.72/300.38  209447[17:MRR:209277.2,5240.0] function(least(u,rest_relation)) || well_ordering(u,rest_relation)* -> .
% 299.72/300.38  209446[17:MRR:209276.2,5240.0] function(least(u,rest_relation)) || well_ordering(u,universal_class)* -> .
% 299.72/300.38  209444[17:MRR:209260.2,5240.0] function(sum_class(image(u,identity_relation))) function(u) ||  -> .
% 299.72/300.38  210901[14:Res:178018.1,208753.0] || subclass(omega,rest_of(identity_relation))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  210905[5:Res:5201.1,208753.0] inductive(rest_of(identity_relation)) || subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  208753[5:Res:29472.1,204710.1] || member(u,rest_of(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  8388[5:Res:5201.1,595.0] inductive(restrict(u,v,w)) ||  -> member(identity_relation,cross_product(v,w))*.
% 299.72/300.38  210830[5:Res:5201.1,208667.0] inductive(cantor(identity_relation)) || subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  208667[5:Res:608.1,208585.0] || member(u,cantor(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  208741[5:Res:5196.1,208714.0] || subclass(universal_class,sum_class(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  208740[5:Res:119647.1,208714.0] || equal(sum_class(u),universal_class)**+ subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  8834[0:SpL:931.0,23.0] || member(u,symmetric_difference(v,inverse(v)))* -> member(u,symmetrization_of(v)).
% 299.72/300.38  209480[17:SoR:209304.0,8479.2] single_valued_class(power_class(identity_relation)) || equal(power_class(identity_relation),identity_relation)** -> .
% 299.72/300.38  210650[17:SoR:209435.0,72.1] one_to_one(not_subclass_element(u,v)) ||  -> subclass(u,v)*.
% 299.72/300.38  1003[0:Res:762.1,22.0] || subclass(universal_class,intersection(u,v))*+ -> member(unordered_pair(w,x),u)*.
% 299.72/300.38  209435[17:MRR:209275.2,5240.0] function(not_subclass_element(u,v)) ||  -> subclass(u,v)*.
% 299.72/300.38  210630[17:SoR:209434.0,72.1] function(u) one_to_one(apply(u,v)) ||  -> .
% 299.72/300.38  209752[17:SpR:209320.1,646.0] function(u) ||  -> member(identity_relation,ordered_pair(u,v))*.
% 299.72/300.38  209434[17:MRR:209273.2,5240.0] function(apply(u,v)) function(u) ||  -> .
% 299.72/300.38  1004[0:Res:762.1,23.0] || subclass(universal_class,intersection(u,v))*+ -> member(unordered_pair(w,x),v)*.
% 299.72/300.38  210571[17:Res:123649.1,210533.1] one_to_one(u) ||  -> equal(integer_of(inverse(u)),identity_relation)**.
% 299.72/300.38  210533[17:MRR:210409.2,5188.0] one_to_one(u) || member(inverse(u),universal_class)* -> .
% 299.72/300.38  210378[17:MRR:210334.2,5240.0] one_to_one(u) ||  -> equal(singleton(inverse(u)),identity_relation)**.
% 299.72/300.38  210292[17:SoR:209433.0,72.1] one_to_one(power_class(u)) || member(u,universal_class)* -> .
% 299.72/300.38  209003[15:Rew:208959.1,3936.2] function(restrict(u,v,universal_class)) || subclass(image(u,v),domain_of(domain_of(w))) equal(domain_of(domain_of(x)),universal_class) -> compatible(restrict(u,v,universal_class),x,w)*.
% 299.72/300.38  210289[17:SoR:209432.0,72.1] one_to_one(power_class(u)) || equal(identity_relation,u)* -> .
% 299.72/300.38  210286[17:SoR:209429.0,72.1] one_to_one(sum_class(u)) || member(u,universal_class)* -> .
% 299.72/300.38  210271[15:Rew:119978.0,210223.1] one_to_one(u) ||  -> equal(cantor(inverse(u)),universal_class)**.
% 299.72/300.38  210177[15:SoR:209261.0,72.1] one_to_one(inverse(u)) ||  -> equal(range_of(u),universal_class)**.
% 299.72/300.38  209013[15:Rew:208959.1,3932.2] function(u) || subclass(range_of(u),domain_of(segment(v,w,x))) equal(domain_of(domain_of(y)),universal_class) -> compatible(u,y,restrict(v,w,singleton(x)))*.
% 299.72/300.38  209433[17:MRR:209271.2,5240.0] function(power_class(u)) || member(u,universal_class)* -> .
% 299.72/300.38  209432[17:MRR:209270.2,5240.0] function(power_class(u)) || equal(identity_relation,u)* -> .
% 299.72/300.38  209429[17:MRR:209259.2,5240.0] function(sum_class(u)) || member(u,universal_class)* -> .
% 299.72/300.38  209427[15:MRR:209233.2,5240.0] function(u) || equal(rest_of(u),identity_relation)** -> .
% 299.72/300.38  209007[15:Rew:208959.1,3931.2] function(u) || subclass(range_of(u),domain_of(sum_class(v))) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,restrict(element_relation,universal_class,v))*.
% 299.72/300.38  210176[15:SoR:209261.0,73.1] one_to_one(u) ||  -> equal(range_of(u),universal_class)**.
% 299.72/300.38  209261[15:SpR:208959.1,40.0] function(inverse(u)) ||  -> equal(range_of(u),universal_class)**.
% 299.72/300.38  210096[17:SoR:209330.0,72.1] one_to_one(regular(u)) ||  -> equal(u,identity_relation)*.
% 299.72/300.38  210026[17:MRR:209759.2,5188.0] function(u) || member(u,universal_class)* -> .
% 299.72/300.38  209008[15:Rew:208959.1,3940.2] function(u) || subclass(range_of(u),range_of(v)) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,flip(cross_product(v,universal_class)))*.
% 299.72/300.38  209725[15:SoR:209173.1,72.1] function(u) one_to_one(domain_of(u)) ||  -> .
% 299.72/300.38  209330[17:MRR:209266.2,5240.0] function(regular(u)) ||  -> equal(u,identity_relation)*.
% 299.72/300.38  209321[17:MRR:209236.2,5240.0] function(u) ||  -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  209320[17:MRR:209235.2,5240.0] function(u) ||  -> equal(singleton(u),identity_relation)**.
% 299.72/300.38  209009[15:Rew:208959.1,3930.2] function(u) || subclass(range_of(u),domain_of(range_of(v)))*+ equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.72/300.38  209173[15:MRR:209172.2,47823.0] function(u) function(domain_of(u)) ||  -> .
% 299.72/300.38  209688[15:MRR:87.1,209687.0] || homomorphism(u,v,w)* -> .
% 299.72/300.38  209687[15:MRR:209686.1,348.0] operation(u) ||  -> .
% 299.72/300.38  208993[15:Res:208889.1,146240.0] function(u) ||  -> equal(cantor(u),universal_class)**.
% 299.72/300.38  209010[15:Rew:208959.1,3937.2] function(u) || equal(domain_of(domain_of(v)),range_of(u)) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.72/300.38  209583[17:SoR:209319.0,72.1] one_to_one(regular(complement(power_class(universal_class)))) ||  -> .
% 299.72/300.38  209575[17:SoR:209318.0,72.1] one_to_one(regular(complement(power_class(identity_relation)))) ||  -> .
% 299.72/300.38  209571[17:SoR:209317.0,72.1] one_to_one(regular(complement(symmetrization_of(identity_relation)))) ||  -> .
% 299.72/300.38  209319[17:MRR:209269.1,5240.0] function(regular(complement(power_class(universal_class)))) ||  -> .
% 299.72/300.38  209430[17:MRR:3416.2,209429.1] function(sum_class(cross_product(universal_class,universal_class))) || well_ordering(element_relation,cross_product(universal_class,universal_class))* -> .
% 299.72/300.38  209318[17:MRR:209268.1,5240.0] function(regular(complement(power_class(identity_relation)))) ||  -> .
% 299.72/300.38  209317[17:MRR:209267.1,5240.0] function(regular(complement(symmetrization_of(identity_relation)))) ||  -> .
% 299.72/300.38  209493[17:SoR:209311.0,72.1] one_to_one(ordered_pair(u,v)) ||  -> .
% 299.72/300.38  209489[17:SoR:209309.0,72.1] one_to_one(unordered_pair(u,v)) ||  -> .
% 299.72/300.38  209011[15:Rew:208959.1,86.2] function(u) || subclass(range_of(u),domain_of(domain_of(v)))*+ equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.72/300.38  209311[17:MRR:209265.1,5240.0] function(ordered_pair(u,v)) ||  -> .
% 299.72/300.38  209309[17:MRR:209264.1,5240.0] function(unordered_pair(u,v)) ||  -> .
% 299.72/300.38  209481[17:SoR:209295.0,72.1] one_to_one(singleton(u)) ||  -> .
% 299.72/300.38  209331[17:MRR:5208.1,209330.0] ||  -> equal(recursion_equation_functions(u),identity_relation)**.
% 299.72/300.38  209485[19:Spt:209468.0,209468.1,209468.3] function(u) function(v) || equal(compose(v,rest_of(u)),u)** -> .
% 299.72/300.38  209295[17:MRR:209263.1,5240.0] function(singleton(u)) ||  -> .
% 299.72/300.38  209477[17:SoR:209304.0,72.1] one_to_one(power_class(identity_relation)) ||  -> .
% 299.72/300.38  209304[17:MRR:209272.1,5240.0] function(power_class(identity_relation)) ||  -> .
% 299.72/300.38  208959[15:Res:208889.1,711.0] function(u) ||  -> equal(domain_of(u),universal_class)**.
% 299.72/300.38  209006[15:Rew:208959.1,113.2] function(u) || subclass(range_of(u),v) -> maps(u,universal_class,v)*.
% 299.72/300.38  208738[14:Res:178018.1,208714.0] || subclass(omega,sum_class(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  208737[14:Res:178680.1,208714.0] || equal(sum_class(u),omega)**+ subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  208793[5:MRR:208781.1,5184.0] || subclass(element_relation,identity_relation) -> section(element_relation,singleton(identity_relation),universal_class)*.
% 299.72/300.38  208734[5:Res:106230.1,208714.0] || subclass(element_relation,identity_relation) -> equal(sum_class(singleton(identity_relation)),identity_relation)**.
% 299.72/300.38  29472[0:MRR:20389.0,29469.1] || member(u,rest_of(u)) -> member(ordered_pair(u,rest_of(u)),element_relation)*.
% 299.72/300.38  208742[5:Res:5201.1,208714.0] inductive(sum_class(u)) || subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  208714[5:Rew:207182.1,208631.0] || member(identity_relation,sum_class(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  208689[5:Res:5201.1,208585.0] inductive(domain_of(identity_relation)) || subclass(element_relation,identity_relation)* -> .
% 299.72/300.38  208585[5:Res:29471.1,204710.1] || member(u,domain_of(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.38  29471[0:MRR:20198.0,29469.1] || member(u,domain_of(u)) -> member(ordered_pair(u,domain_of(u)),element_relation)*.
% 299.72/300.38  208526[5:Res:207985.1,5188.0] || subclass(complement(element_relation),identity_relation)* -> .
% 299.72/300.38  208140[17:Res:208126.0,195267.1] || equal(rest_of(regular(complement(power_class(universal_class)))),rest_relation)** -> .
% 299.72/300.38  208137[10:Res:208126.0,203295.1] || equal(singleton(regular(complement(power_class(universal_class)))),identity_relation)** -> .
% 299.72/300.38  1002[0:Res:762.1,25.1] || subclass(universal_class,complement(u)) member(unordered_pair(v,w),u)* -> .
% 299.72/300.38  207958[17:Res:207942.0,195267.1] || equal(rest_of(regular(complement(power_class(identity_relation)))),rest_relation)** -> .
% 299.72/300.38  207955[11:Res:207942.0,203295.1] || equal(singleton(regular(complement(power_class(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  207944[11:Res:207750.0,22490.0] || member(regular(complement(power_class(identity_relation))),power_class(identity_relation))* -> .
% 299.72/300.38  789[0:Res:761.1,2.0] || subclass(universal_class,u)*+ subclass(u,v)* -> member(omega,v)*.
% 299.72/300.38  5371[5:Rew:5180.0,3854.2] inductive(sum_class(u)) || member(u,universal_class)* -> member(identity_relation,u)*.
% 299.72/300.38  168533[12:MRR:168498.2,5188.0] || member(u,universal_class) equal(sum_class(range_of(singleton(u))),u)** -> .
% 299.72/300.38  208143[17:Res:208126.0,195144.0] ||  -> equal(domain_of(regular(complement(power_class(universal_class)))),identity_relation)**.
% 299.72/300.38  208142[17:Res:208126.0,195164.0] ||  -> equal(cantor(regular(complement(power_class(universal_class)))),identity_relation)**.
% 299.72/300.38  208126[10:Res:207752.0,29469.0] ||  -> member(regular(complement(power_class(universal_class))),universal_class)*.
% 299.72/300.38  168534[12:MRR:168502.2,5188.0] || member(u,universal_class) equal(sum_class(range_of(u)),rest_of(u))** -> .
% 299.72/300.38  207961[17:Res:207942.0,195144.0] ||  -> equal(domain_of(regular(complement(power_class(identity_relation)))),identity_relation)**.
% 299.72/300.38  207960[17:Res:207942.0,195164.0] ||  -> equal(cantor(regular(complement(power_class(identity_relation)))),identity_relation)**.
% 299.72/300.38  654[0:SpL:647.0,20.0] || member(singleton(singleton(singleton(u))),element_relation)*+ -> member(singleton(u),u)*.
% 299.72/300.38  207942[11:Res:207750.0,29469.0] ||  -> member(regular(complement(power_class(identity_relation))),universal_class)*.
% 299.72/300.38  8089[5:Res:5201.1,5405.0] inductive(regular(u)) || member(identity_relation,u)* -> equal(u,identity_relation).
% 299.72/300.38  29628[5:MRR:5351.0,29542.1] ||  -> member(regular(complement(complement(u))),u)* equal(complement(complement(u)),identity_relation).
% 299.72/300.38  173145[13:Spt:171962.0,14783.0,14783.2] || well_ordering(u,cross_product(universal_class,universal_class))* -> member(least(u,element_relation),element_relation).
% 299.72/300.38  203211[16:MRR:192681.2,203206.0] || subclass(omega,domain_relation) -> equal(integer_of(singleton(singleton(identity_relation))),identity_relation)**.
% 299.72/300.38  207586[5:Res:206271.1,207331.0] || equal(cantor(u),identity_relation) -> asymmetric(cantor(u),v)*.
% 299.72/300.38  206271[5:Res:205509.1,8442.0] || equal(cantor(u),identity_relation) -> subclass(cantor(u),v)*.
% 299.72/300.38  164470[8:Spt:164464.0,24056.0,24056.2] || well_ordering(u,cross_product(universal_class,universal_class))* -> member(least(u,successor_relation),successor_relation).
% 299.72/300.38  207530[5:Obv:207529.1] || subclass(inverse(u),identity_relation)*+ -> asymmetric(u,v)*.
% 299.72/300.38  204799[5:Res:5295.1,204710.1] || subclass(u,identity_relation) -> equal(intersection(v,u),identity_relation)**.
% 299.72/300.38  207331[5:Obv:207330.1] || subclass(u,identity_relation)*+ -> asymmetric(u,v)*.
% 299.72/300.38  204745[5:Res:5294.1,204710.1] || subclass(u,identity_relation) -> equal(intersection(u,v),identity_relation)**.
% 299.72/300.38  7543[5:Res:5201.1,336.0] inductive(image(element_relation,complement(u))) || member(identity_relation,power_class(u))* -> .
% 299.72/300.38  204384[5:Res:5295.1,203257.1] || equal(identity_relation,u) -> equal(intersection(v,u),identity_relation)**.
% 299.72/300.38  206968[5:Obv:206967.1] || equal(identity_relation,u) -> asymmetric(u,v)*.
% 299.72/300.38  204330[5:Res:5294.1,203257.1] || equal(identity_relation,u) -> equal(intersection(u,v),identity_relation)**.
% 299.72/300.38  203300[5:Obv:203034.1] || equal(complement(symmetrization_of(u)),identity_relation)**+ -> connected(u,v)*.
% 299.72/300.38  203299[5:MRR:203027.1,348.0] || equal(complement(u),identity_relation) -> member(singleton(v),u)*.
% 299.72/300.38  206410[5:Res:201827.1,111279.0] || subclass(complement(u),identity_relation)* well_ordering(universal_class,u) -> .
% 299.72/300.38  206425[5:MRR:206372.1,201946.0] || subclass(complement(complement(singleton(singleton(u)))),identity_relation)* -> .
% 299.72/300.38  206409[16:Res:201827.1,203207.0] || subclass(complement(domain_relation),identity_relation)* -> .
% 299.72/300.38  5373[5:Rew:5180.0,3845.2] function(u) inductive(u) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.38  201827[5:Res:201674.1,3634.0] || subclass(complement(u),identity_relation) -> member(singleton(v),u)*.
% 299.72/300.38  5352[5:Rew:5180.0,700.0] ||  -> equal(integer_of(not_subclass_element(complement(omega),u)),identity_relation)** subclass(complement(omega),u).
% 299.72/300.38  205376[5:Res:123649.1,203295.1] || equal(singleton(u),identity_relation) -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  205104[17:MRR:205025.1,5265.0] || equal(identity_relation,u) -> equal(cantor(power_class(u)),identity_relation)**.
% 299.72/300.38  205103[17:MRR:205024.1,5265.0] || equal(identity_relation,u) -> equal(domain_of(power_class(u)),identity_relation)**.
% 299.72/300.38  205061[11:SpL:203228.1,189082.0] || equal(identity_relation,u) member(identity_relation,power_class(u))* -> .
% 299.72/300.38  205054[14:SpL:203228.1,178226.0] || equal(identity_relation,u) equal(power_class(u),omega)** -> .
% 299.72/300.38  206017[14:Res:52.1,205053.1] inductive(power_class(u)) || equal(identity_relation,u)* -> .
% 299.72/300.38  205053[14:SpL:203228.1,178207.0] || equal(identity_relation,u) subclass(omega,power_class(u))* -> .
% 299.72/300.38  205052[11:SpL:203228.1,168384.0] || equal(identity_relation,u) subclass(universal_class,power_class(u))* -> .
% 299.72/300.38  205051[11:SpL:203228.1,168390.0] || equal(identity_relation,u) equal(power_class(u),universal_class)** -> .
% 299.72/300.38  204822[5:Res:5588.1,204710.1] || subclass(domain_of(u),identity_relation)* -> equal(cantor(u),identity_relation).
% 299.72/300.38  204821[5:Res:32904.1,204710.1] || subclass(cantor(u),identity_relation)* -> equal(domain_of(u),identity_relation).
% 299.72/300.38  204751[5:Res:334.1,204710.1] || member(u,universal_class) subclass(singleton(u),identity_relation)* -> .
% 299.72/300.38  205898[16:MRR:205891.1,202438.0] || subclass(range_of(identity_relation),identity_relation)* -> .
% 299.72/300.38  192765[17:MRR:192746.2,5188.0] inductive(application_function) || well_ordering(u,cross_product(universal_class,cross_product(universal_class,universal_class)))* -> .
% 299.72/300.38  204700[5:Rew:6791.0,204635.1] || subclass(u,identity_relation) -> equal(union(u,identity_relation),identity_relation)**.
% 299.72/300.38  203711[5:Res:202851.1,3633.0] || equal(complement(complement(unordered_pair(singleton(u),v))),identity_relation)** -> .
% 299.72/300.38  203707[5:Res:202851.1,3632.0] || equal(complement(complement(unordered_pair(u,singleton(v)))),identity_relation)** -> .
% 299.72/300.38  203694[5:Res:202851.1,39989.0] || equal(complement(complement(singleton(unordered_pair(u,v)))),identity_relation)** -> .
% 299.72/300.38  5293[5:Rew:5180.0,3849.1] inductive(flip(u)) ||  -> member(identity_relation,cross_product(cross_product(universal_class,universal_class),universal_class))*.
% 299.72/300.38  203693[5:Res:202851.1,39996.0] || equal(complement(complement(singleton(ordered_pair(u,v)))),identity_relation)** -> .
% 299.72/300.38  5292[5:Rew:5180.0,3850.1] inductive(rotate(u)) ||  -> member(identity_relation,cross_product(cross_product(universal_class,universal_class),universal_class))*.
% 299.72/300.38  203320[5:Obv:203178.1] || equal(domain_of(u),identity_relation)** -> equal(cantor(u),identity_relation).
% 299.72/300.38  203318[5:Obv:203175.1] || equal(rest_of(u),identity_relation) -> equal(domain_of(u),identity_relation)**.
% 299.72/300.38  203317[5:Obv:203174.1] || equal(rest_of(u),identity_relation)** -> equal(cantor(u),identity_relation).
% 299.72/300.38  203313[5:Obv:203163.1] || equal(cantor(u),identity_relation) -> equal(domain_of(u),identity_relation)**.
% 299.72/300.38  8107[5:SpR:5434.1,750.0] || well_ordering(element_relation,universal_class) -> equal(sum_class(singleton(least(element_relation,universal_class))),identity_relation)**.
% 299.72/300.38  203305[7:Obv:203058.2] || equal(identity_relation,u) equal(u,singleton(identity_relation))* -> .
% 299.72/300.38  203298[5:Obv:203024.1] || equal(complement(u),identity_relation) well_ordering(universal_class,u)* -> .
% 299.72/300.38  203296[5:MRR:203021.1,5.0] || equal(singleton(regular(u)),identity_relation)** -> equal(u,identity_relation).
% 299.72/300.38  205427[5:Res:202851.1,205406.0] || equal(complement(complement(singleton(power_class(identity_relation)))),identity_relation)** -> .
% 299.72/300.38  205426[5:Res:7.1,205406.0] || equal(complement(singleton(power_class(identity_relation))),universal_class)** -> .
% 299.72/300.38  205406[5:MRR:205295.1,205350.0] || subclass(universal_class,complement(singleton(power_class(identity_relation))))* -> .
% 299.72/300.38  205350[5:Res:205135.0,203295.1] || equal(singleton(power_class(identity_relation)),identity_relation)** -> .
% 299.72/300.38  203295[5:Obv:203015.2] || equal(singleton(u),identity_relation) member(u,universal_class)* -> .
% 299.72/300.38  6971[5:Res:3366.1,6492.0] || member(cross_product(universal_class,universal_class),universal_class) -> member(least(element_relation,domain_relation),domain_relation)*.
% 299.72/300.38  205150[5:Res:205135.0,2.0] || subclass(universal_class,u) -> member(power_class(identity_relation),u)*.
% 299.72/300.38  202182[5:MRR:27971.1,202179.0] inductive(ordered_pair(u,v)) ||  -> equal(singleton(u),identity_relation)**.
% 299.72/300.38  205144[17:Res:205135.0,195267.1] || equal(rest_of(power_class(identity_relation)),rest_relation)** -> .
% 299.72/300.38  205147[17:Res:205135.0,195144.0] ||  -> equal(domain_of(power_class(identity_relation)),identity_relation)**.
% 299.72/300.38  205146[17:Res:205135.0,195164.0] ||  -> equal(cantor(power_class(identity_relation)),identity_relation)**.
% 299.72/300.38  205135[5:AED:205134.0] ||  -> member(power_class(identity_relation),universal_class)*.
% 299.72/300.38  205098[5:MRR:205016.1,5265.0] || equal(identity_relation,u) -> member(power_class(u),universal_class)*.
% 299.72/300.38  203228[5:Rew:22481.0,202891.1] || equal(identity_relation,u) -> equal(power_class(identity_relation),power_class(u))*.
% 299.72/300.38  202406[7:Res:125624.1,201810.1] || equal(u,singleton(identity_relation)) subclass(u,identity_relation)* -> .
% 299.72/300.38  204710[5:MRR:204672.1,29469.1] || subclass(u,identity_relation) member(v,u)* -> .
% 299.72/300.38  201462[5:MRR:201456.2,5200.1] inductive(complement(complement(u))) || subclass(u,identity_relation)* -> .
% 299.72/300.38  204612[17:Res:5.0,203303.1] || equal(complement(rest_relation),identity_relation)** -> .
% 299.72/300.38  201950[5:MRR:198752.1,201946.0] || equal(complement(complement(complement(singleton(singleton(u))))),universal_class)** -> .
% 299.72/300.38  201828[14:Res:201674.1,190318.1] || subclass(element_relation,identity_relation)* equal(rest_of(identity_relation),omega) -> .
% 299.72/300.38  203270[5:Obv:203161.1] || equal(unordered_pair(ordered_pair(u,v),w),identity_relation)** -> .
% 299.72/300.38  203269[5:Obv:203159.1] || equal(unordered_pair(unordered_pair(u,v),w),identity_relation)** -> .
% 299.72/300.38  203268[5:Obv:203151.1] || equal(unordered_pair(u,unordered_pair(v,w)),identity_relation)** -> .
% 299.72/300.38  203267[5:Obv:203147.1] || equal(unordered_pair(u,ordered_pair(v,w)),identity_relation)** -> .
% 299.72/300.38  203265[5:Obv:203129.1] || equal(inverse(u),identity_relation) -> asymmetric(u,v)*.
% 299.72/300.38  204411[14:Res:178018.1,203257.1] || subclass(omega,u)* equal(identity_relation,u) -> .
% 299.72/300.38  203257[5:MRR:203101.2,29469.1] || equal(identity_relation,u) member(v,u)* -> .
% 299.72/300.38  201825[5:Res:201674.1,40120.0] || subclass(unordered_pair(ordered_pair(u,v),w),identity_relation)* -> .
% 299.72/300.38  201824[5:Res:201674.1,39991.0] || subclass(unordered_pair(unordered_pair(u,v),w),identity_relation)* -> .
% 299.72/300.38  201821[5:Res:201674.1,39990.0] || subclass(unordered_pair(u,unordered_pair(v,w)),identity_relation)* -> .
% 299.72/300.38  201820[5:Res:201674.1,40113.0] || subclass(unordered_pair(u,ordered_pair(v,w)),identity_relation)* -> .
% 299.72/300.38  203697[5:Res:202851.1,3626.0] || equal(complement(complement(ordered_pair(u,v))),identity_relation)** -> .
% 299.72/300.38  203645[5:Res:202851.1,711.0] || equal(complement(u),identity_relation)** -> equal(universal_class,u).
% 299.72/300.38  203252[5:Obv:203062.2] || equal(identity_relation,u) equal(u,domain_relation)* -> .
% 299.72/300.38  5508[5:Rew:5180.0,4024.2] || member(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class)) -> equal(image(u,image(v,singleton(w))),identity_relation) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),compose(u,v))*.
% 299.72/300.38  203251[14:Obv:203059.2] || equal(identity_relation,u)* equal(u,omega) -> .
% 299.72/300.38  203247[5:Obv:203026.1] || equal(complement(u),identity_relation) -> member(omega,u)*.
% 299.72/300.38  203246[5:Obv:203025.1] || equal(complement(u),identity_relation) -> member(identity_relation,u)*.
% 299.72/300.38  203714[15:Res:202851.1,191795.0] || equal(complement(complement(unordered_pair(identity_relation,u))),identity_relation)** -> .
% 299.72/300.38  5476[5:Rew:5180.0,3806.2] || transitive(u,v) well_ordering(w,restrict(u,v,v)) -> equal(compose(restrict(u,v,v),restrict(u,v,v)),identity_relation) member(least(w,compose(restrict(u,v,v),restrict(u,v,v))),compose(restrict(u,v,v),restrict(u,v,v)))*.
% 299.72/300.38  203710[15:Res:202851.1,191808.0] || equal(complement(complement(unordered_pair(u,identity_relation))),identity_relation)** -> .
% 299.72/300.38  203692[5:Res:202851.1,3631.0] || equal(complement(complement(singleton(singleton(u)))),identity_relation)** -> .
% 299.72/300.38  203907[5:Res:153612.1,203904.0] || equal(complement(complement(cross_product(universal_class,universal_class))),universal_class)** -> .
% 299.72/300.38  203655[10:Res:202851.1,180129.0] || equal(complement(intersection(power_class(universal_class),universal_class)),identity_relation)** -> .
% 299.72/300.38  203654[11:Res:202851.1,180128.0] || equal(complement(intersection(power_class(identity_relation),universal_class)),identity_relation)** -> .
% 299.72/300.38  203663[5:Res:202851.1,47787.0] || equal(complement(cross_product(u,v)),identity_relation)** -> .
% 299.72/300.38  203696[5:Res:202851.1,202633.0] || equal(complement(complement(singleton(omega))),identity_relation)** -> .
% 299.72/300.38  203690[17:Res:202851.1,195243.0] || equal(complement(rest_of(u)),identity_relation)** -> .
% 299.72/300.38  203855[5:SoR:203741.0,72.1] one_to_one(complement(cross_product(universal_class,universal_class))) ||  -> .
% 299.72/300.38  203741[5:MRR:6792.1,203663.0] function(complement(cross_product(universal_class,universal_class))) ||  -> .
% 299.72/300.38  203704[5:Res:202851.1,40243.0] || equal(complement(complement(domain_relation)),identity_relation)** -> .
% 299.72/300.38  203686[10:Res:202851.1,168371.0] || equal(complement(power_class(universal_class)),identity_relation)** -> .
% 299.72/300.38  203685[11:Res:202851.1,168384.0] || equal(complement(power_class(identity_relation)),identity_relation)** -> .
% 299.72/300.38  4017[0:Res:3.1,60.0] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class)) -> subclass(image(v,image(w,singleton(u))),x) member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),compose(v,w))*.
% 299.72/300.38  203662[5:Res:202851.1,3270.0] || equal(complement(composition_function),identity_relation)** -> .
% 299.72/300.38  202786[5:Res:8453.1,201815.0] || equal(identity_relation,u) subclass(domain_relation,u)* -> .
% 299.72/300.38  202624[5:MRR:202598.0,53.0] || subclass(complement(u),identity_relation)* -> member(omega,u).
% 299.72/300.38  3719[0:Res:59.1,126.0] || member(ordered_pair(u,v),compose(w,x))* subclass(image(w,image(x,singleton(u))),y)*+ well_ordering(z,y)* -> member(least(z,image(w,image(x,singleton(u)))),image(w,image(x,singleton(u))))*.
% 299.72/300.38  202564[5:Res:8453.1,201813.0] || equal(identity_relation,u) subclass(universal_class,u)* -> .
% 299.72/300.38  202537[5:Res:8453.1,201812.0] || equal(identity_relation,u)* equal(u,universal_class) -> .
% 299.72/300.38  202413[7:Res:167376.1,201810.1] || subclass(complement(u),identity_relation)* -> member(identity_relation,u).
% 299.72/300.38  202405[14:Res:178018.1,201810.1] || subclass(omega,u)*+ subclass(u,identity_relation)* -> .
% 299.72/300.38  5475[5:Rew:5180.0,3805.2] || transitive(u,v) well_ordering(w,restrict(u,v,v)) -> equal(segment(w,compose(restrict(u,v,v),restrict(u,v,v)),least(w,compose(restrict(u,v,v),restrict(u,v,v)))),identity_relation)**.
% 299.72/300.38  202404[14:Res:178680.1,201810.1] || equal(u,omega) subclass(u,identity_relation)* -> .
% 299.72/300.38  203381[16:Obv:203380.1] || equal(complement(domain_relation),identity_relation)** -> .
% 299.72/300.38  203366[16:Res:3780.1,203207.0] || equal(complement(complement(domain_relation)),universal_class)** -> .
% 299.72/300.38  203223[13:MRR:203168.1,5.0] || equal(compose(element_relation,universal_class),identity_relation)** -> .
% 299.72/300.38  203369[16:Res:122840.1,203207.0] || well_ordering(universal_class,complement(domain_relation))* -> .
% 299.72/300.38  203368[16:Res:763.1,203207.0] || subclass(universal_class,domain_relation)* -> .
% 299.72/300.38  203207[16:MRR:192122.1,203206.0] || member(singleton(singleton(identity_relation)),domain_relation)* -> .
% 299.72/300.38  203206[16:Obv:203190.1] || equal(range_of(identity_relation),identity_relation)** -> .
% 299.72/300.38  203202[5:MRR:203042.1,5.0] || equal(complement(element_relation),identity_relation)** -> .
% 299.72/300.38  203200[7:MRR:203038.1,5.0] || equal(complement(successor_relation),identity_relation)** -> .
% 299.72/300.38  202351[5:Res:8453.1,201803.0] || equal(identity_relation,u) -> equal(complement(u),universal_class)**.
% 299.72/300.38  5507[5:Rew:5180.0,4020.1] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,singleton(u))),identity_relation) member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),compose(v,w))*.
% 299.72/300.38  201815[5:Res:201674.1,40248.1] || subclass(u,identity_relation)*+ subclass(domain_relation,u)* -> .
% 299.72/300.38  202634[5:MRR:198775.1,202629.0] || equal(symmetric_difference(universal_class,singleton(omega)),universal_class)** -> .
% 299.72/300.38  202681[5:Res:8453.1,202623.0] || equal(unordered_pair(u,omega),identity_relation)** -> .
% 299.72/300.38  202677[5:Res:8453.1,202622.0] || equal(unordered_pair(omega,u),identity_relation)** -> .
% 299.72/300.38  3920[0:Res:24.2,128.3] || member(ordered_pair(u,least(intersection(v,w),x)),w)*+ member(ordered_pair(u,least(intersection(v,w),x)),v)* member(u,x) subclass(x,y)* well_ordering(intersection(v,w),y)* -> .
% 299.72/300.38  202623[5:MRR:202608.0,53.0] || subclass(unordered_pair(u,omega),identity_relation)* -> .
% 299.72/300.38  202622[5:MRR:202607.0,53.0] || subclass(unordered_pair(omega,u),identity_relation)* -> .
% 299.72/300.38  202633[5:MRR:198757.1,202629.0] || subclass(universal_class,complement(singleton(omega)))* -> .
% 299.72/300.38  202629[5:Res:8453.1,202621.0] || equal(singleton(omega),identity_relation)** -> .
% 299.72/300.38  3928[0:Res:59.1,128.3] || member(ordered_pair(u,ordered_pair(v,least(image(w,image(x,singleton(u))),y))),compose(w,x))*+ member(v,y) subclass(y,z)* well_ordering(image(w,image(x,singleton(u))),z)* -> .
% 299.72/300.38  202621[5:MRR:202597.0,53.0] || subclass(singleton(omega),identity_relation)* -> .
% 299.72/300.38  201813[5:Res:201674.1,3615.1] || subclass(u,identity_relation)*+ subclass(universal_class,u)* -> .
% 299.72/300.38  201812[5:Res:201674.1,124986.1] || subclass(u,identity_relation)* equal(u,universal_class) -> .
% 299.72/300.38  3807[0:Res:119.1,8.0] || transitive(u,v) subclass(restrict(u,v,v),compose(restrict(u,v,v),restrict(u,v,v)))* -> equal(compose(restrict(u,v,v),restrict(u,v,v)),restrict(u,v,v)).
% 299.72/300.38  202448[5:Res:8453.1,202409.1] inductive(u) || equal(identity_relation,u)* -> .
% 299.72/300.38  202454[5:Res:8249.0,202409.1] inductive(restrict(identity_relation,u,v)) ||  -> .
% 299.72/300.38  202461[5:Res:8231.0,202409.1] inductive(intersection(u,identity_relation)) ||  -> .
% 299.72/300.38  202452[5:Res:8325.0,202409.1] inductive(intersection(identity_relation,u)) ||  -> .
% 299.72/300.38  202464[5:Res:47673.0,202409.1] inductive(complement(complement(identity_relation))) ||  -> .
% 299.72/300.38  202465[5:MRR:202458.1,5265.0] inductive(sum_class(identity_relation)) ||  -> .
% 299.72/300.38  202409[5:Res:5201.1,201810.1] inductive(u) || subclass(u,identity_relation)* -> .
% 299.72/300.38  202441[16:MRR:192145.1,202438.0] || equal(complement(range_of(identity_relation)),universal_class)** -> .
% 299.72/300.38  202438[16:Res:8453.1,202435.0] || equal(successor(range_of(identity_relation)),identity_relation)** -> .
% 299.72/300.38  202435[16:Res:192686.0,201810.1] || subclass(successor(range_of(identity_relation)),identity_relation)* -> .
% 299.72/300.38  201803[5:Res:201674.1,711.0] || subclass(u,identity_relation)* -> equal(complement(u),universal_class).
% 299.72/300.38  202217[5:Res:8453.1,201823.0] || equal(unordered_pair(singleton(u),v),identity_relation)** -> .
% 299.72/300.38  202179[5:Res:8453.1,201819.0] || equal(unordered_pair(u,singleton(v)),identity_relation)** -> .
% 299.72/300.38  202156[5:Res:8453.1,201806.0] || equal(singleton(unordered_pair(u,v)),identity_relation)** -> .
% 299.72/300.38  202145[5:Res:8453.1,201805.0] || equal(singleton(ordered_pair(u,v)),identity_relation)** -> .
% 299.72/300.38  201823[5:Res:201674.1,3633.0] || subclass(unordered_pair(singleton(u),v),identity_relation)* -> .
% 299.72/300.38  201819[5:Res:201674.1,3632.0] || subclass(unordered_pair(u,singleton(v)),identity_relation)* -> .
% 299.72/300.38  201806[5:Res:201674.1,39989.0] || subclass(singleton(unordered_pair(u,v)),identity_relation)* -> .
% 299.72/300.38  201805[5:Res:201674.1,39996.0] || subclass(singleton(ordered_pair(u,v)),identity_relation)* -> .
% 299.72/300.38  5337[5:Rew:5180.0,2094.1] || member(cross_product(u,v),universal_class) -> equal(cross_product(u,v),identity_relation) equal(ordered_pair(first(apply(choice,cross_product(u,v))),second(apply(choice,cross_product(u,v)))),apply(choice,cross_product(u,v)))**.
% 299.72/300.38  202022[15:Res:8453.1,201826.0] || equal(unordered_pair(identity_relation,u),identity_relation)** -> .
% 299.72/300.38  201952[15:Res:8453.1,201822.0] || equal(unordered_pair(u,identity_relation),identity_relation)** -> .
% 299.72/300.38  201946[5:Res:8453.1,201804.0] || equal(singleton(singleton(u)),identity_relation)** -> .
% 299.72/300.38  201826[15:Res:201674.1,191795.0] || subclass(unordered_pair(identity_relation,u),identity_relation)* -> .
% 299.72/300.38  5432[5:Rew:5180.0,3558.2] || section(u,v,w) well_ordering(x,v) -> equal(domain_of(restrict(u,w,v)),identity_relation) member(least(x,domain_of(restrict(u,w,v))),domain_of(restrict(u,w,v)))*.
% 299.72/300.38  201822[15:Res:201674.1,191808.0] || subclass(unordered_pair(u,identity_relation),identity_relation)* -> .
% 299.72/300.38  201804[5:Res:201674.1,3631.0] || subclass(singleton(singleton(u)),identity_relation)* -> .
% 299.72/300.38  3925[0:Res:144.2,128.3] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),least(rest_of(v),w))*+ member(u,w)* subclass(w,x)* well_ordering(rest_of(v),x)* -> .
% 299.72/300.38  74983[4:SpL:69.0,3412.1] || well_ordering(element_relation,image(u,singleton(v))) subclass(apply(u,v),image(u,singleton(v)))* -> equal(image(u,singleton(v)),universal_class) member(image(u,singleton(v)),universal_class).
% 299.72/300.38  146221[0:SpR:145868.1,8337.0] || subclass(u,v) -> subclass(symmetric_difference(v,u),complement(u))*.
% 299.72/300.38  200705[12:Rew:168482.0,200699.0] || equal(ordinal_add(u,v),universal_class) -> inductive(ordinal_add(u,v))*.
% 299.72/300.38  196830[17:Res:29531.1,195267.1] || equal(rest_of(not_subclass_element(u,v)),rest_relation)** -> subclass(u,v).
% 299.72/300.38  3714[0:Res:17.2,126.0] || member(u,v)* member(w,x)* subclass(cross_product(x,v),y)*+ well_ordering(z,y)* -> member(least(z,cross_product(x,v)),cross_product(x,v))*.
% 299.72/300.38  201232[15:SpL:191735.0,46366.0] || subclass(singleton(singleton(identity_relation)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.38  46366[0:Res:646.0,3924.0] || subclass(ordered_pair(u,v),w)* well_ordering(universal_class,w) -> .
% 299.72/300.38  86931[0:Res:7.1,46366.0] || equal(u,ordered_pair(v,w))*+ well_ordering(universal_class,u)* -> .
% 299.72/300.38  3705[0:Res:24.2,126.0] || member(u,v)* member(u,w)* subclass(intersection(w,v),x)*+ well_ordering(y,x)* -> member(least(y,intersection(w,v)),intersection(w,v))*.
% 299.72/300.38  200936[5:MRR:200722.3,5188.0] || equal(u,universal_class) member(u,universal_class)* -> inductive(u).
% 299.72/300.38  200704[5:Rew:5251.1,200696.0] || equal(u,universal_class) -> equal(singleton(u),identity_relation)** inductive(u).
% 299.72/300.38  167517[5:Rew:69.0,167514.0] || equal(apply(u,v),universal_class) -> inductive(apply(u,v))*.
% 299.72/300.38  167596[5:Rew:43.0,167593.0] || equal(image(u,v),universal_class) -> inductive(image(u,v))*.
% 299.72/300.38  79033[0:SpR:40.0,45819.1] || subclass(u,cantor(inverse(v)))* -> subclass(u,range_of(v)).
% 299.72/300.38  3926[0:Res:17.2,128.3] || member(least(cross_product(u,v),w),v)*+ member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,v),y)* -> .
% 299.72/300.38  29474[5:MRR:22527.0,29469.1] || member(u,range_of(v)) -> member(u,cantor(inverse(v)))*.
% 299.72/300.38  610[0:SpR:40.0,608.1] || member(u,cantor(inverse(v)))* -> member(u,range_of(v)).
% 299.72/300.38  86994[0:Res:7.1,79033.0] || equal(cantor(inverse(u)),v) -> subclass(v,range_of(u))*.
% 299.72/300.38  178675[14:SpL:29.0,178572.0] || equal(restrict(u,v,w),omega)** -> member(identity_relation,u).
% 299.72/300.38  178055[14:Res:178018.1,596.0] || subclass(omega,restrict(u,v,w))* -> member(identity_relation,u).
% 299.72/300.38  5190[5:Rew:5180.0,3906.1] || subclass(universal_class,restrict(u,v,w))* -> member(identity_relation,u).
% 299.72/300.38  5189[5:Rew:5180.0,4071.1] || equal(restrict(u,v,w),universal_class)** -> member(identity_relation,u).
% 299.72/300.38  5226[5:Rew:5180.0,3851.2] inductive(u) || equal(v,u)*+ -> member(identity_relation,v)*.
% 299.72/300.38  5519[5:Rew:5180.0,5165.1] inductive(symmetric_difference(u,v)) ||  -> member(identity_relation,union(u,v))*.
% 299.72/300.38  12382[5:SpR:6563.1,5593.0] single_valued_class(u) ||  -> equal(single_valued2(u),range__dfg(identity_relation,v,w))*.
% 299.72/300.38  12378[5:SpR:6539.1,5593.0] function(u) ||  -> equal(single_valued2(u),range__dfg(identity_relation,v,w))*.
% 299.72/300.38  5461[5:Rew:5180.0,3609.2] || section(u,v,w) well_ordering(x,v) -> equal(segment(x,domain_of(restrict(u,w,v)),least(x,domain_of(restrict(u,w,v)))),identity_relation)**.
% 299.72/300.38  114191[5:Obv:114151.0] ||  -> equal(intersection(singleton(u),singleton(v)),identity_relation)** equal(v,u).
% 299.72/300.38  200205[5:Rew:114.0,200189.0] || equal(symmetrization_of(u),universal_class) -> inductive(symmetrization_of(u))*.
% 299.72/300.38  200204[5:Rew:44.0,200187.0] || equal(successor(u),universal_class) -> inductive(successor(u))*.
% 299.72/300.38  167566[5:Rew:27.0,167549.0] || equal(union(u,v),universal_class) -> inductive(union(u,v))*.
% 299.72/300.38  123301[5:Rew:122359.0,5430.1] || connected(u,v)* well_ordering(w,complement(complement(symmetrization_of(u))))*+ -> equal(cross_product(v,v),identity_relation) member(least(w,cross_product(v,v)),cross_product(v,v))*.
% 299.72/300.38  199390[15:Res:7.1,191991.0] || equal(u,ordered_pair(range_of(identity_relation),v))*+ -> member(identity_relation,u)*.
% 299.72/300.38  198640[5:Res:7.1,113727.0] || equal(complement(singleton(regular(u))),u)** -> equal(u,identity_relation).
% 299.72/300.38  197207[17:SpR:196425.0,646.0] ||  -> equal(range_of(u),identity_relation) member(identity_relation,ordered_pair(inverse(u),v))*.
% 299.72/300.38  196835[17:Res:7512.1,195267.1] function(u) || equal(rest_of(apply(u,v)),rest_relation)** -> .
% 299.72/300.38  5460[5:Rew:5180.0,3608.3] || connected(u,v) well_ordering(w,v) -> well_ordering(u,v) equal(segment(w,not_well_ordering(u,v),least(w,not_well_ordering(u,v))),identity_relation)**.
% 299.72/300.38  3525[0:Res:59.1,4.0] || member(ordered_pair(u,not_subclass_element(v,image(w,image(x,singleton(u))))),compose(w,x))* -> subclass(v,image(w,image(x,singleton(u)))).
% 299.72/300.38  3700[0:Res:11.1,126.0] || member(u,universal_class) subclass(unordered_pair(v,u),w)*+ well_ordering(x,w)* -> member(least(x,unordered_pair(v,u)),unordered_pair(v,u))*.
% 299.72/300.38  3701[0:Res:10.1,126.0] || member(u,universal_class) subclass(unordered_pair(u,v),w)*+ well_ordering(x,w)* -> member(least(x,unordered_pair(u,v)),unordered_pair(u,v))*.
% 299.72/300.38  3704[0:Res:26.2,126.0] || member(u,universal_class)* subclass(complement(v),w)*+ well_ordering(x,w)* -> member(u,v)* member(least(x,complement(v)),complement(v))*.
% 299.72/300.38  123219[5:Rew:122359.0,5458.1] || connected(u,v)* well_ordering(w,complement(complement(symmetrization_of(u))))*+ -> equal(segment(w,cross_product(v,v),least(w,cross_product(v,v))),identity_relation)**.
% 299.72/300.38  192415[12:SpR:192336.1,646.0] || member(u,universal_class) -> member(identity_relation,ordered_pair(range_of(u),v))*.
% 299.72/300.38  191991[15:Res:191738.0,2.0] || subclass(ordered_pair(range_of(identity_relation),u),v)* -> member(identity_relation,v).
% 299.72/300.38  199378[15:SpL:191728.0,199375.0] || well_ordering(universal_class,complement(complement(singleton(singleton(identity_relation)))))* -> .
% 299.72/300.38  199375[5:MRR:199330.1,47801.0] || well_ordering(universal_class,complement(complement(singleton(singleton(singleton(u))))))* -> .
% 299.72/300.38  5784[5:Rew:5180.0,5506.2] inductive(image(u,image(v,singleton(w)))) || member(ordered_pair(w,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,identity_relation),compose(u,v))*.
% 299.72/300.38  122840[0:MRR:111323.0,176.0] || well_ordering(universal_class,complement(u)) -> member(singleton(singleton(v)),u)*.
% 299.72/300.38  199273[15:Res:192110.1,199206.0] || equal(u,singleton(singleton(identity_relation)))*+ well_ordering(universal_class,u)* -> .
% 299.72/300.38  199274[15:Res:194012.1,199206.0] || well_ordering(universal_class,complement(u))* -> member(singleton(identity_relation),u).
% 299.72/300.38  199206[15:SpL:191728.0,111279.0] || member(singleton(identity_relation),u)* well_ordering(universal_class,u) -> .
% 299.72/300.38  199240[17:Res:195448.0,111279.0] || well_ordering(universal_class,domain_relation)* -> .
% 299.72/300.38  111279[0:Res:4733.1,46369.0] || member(singleton(singleton(u)),v)* well_ordering(universal_class,v) -> .
% 299.72/300.38  45982[5:Res:45825.0,5229.1] inductive(intersection(u,cantor(v))) ||  -> member(identity_relation,domain_of(v))*.
% 299.72/300.38  45893[5:Res:45823.0,5229.1] inductive(intersection(cantor(u),v)) ||  -> member(identity_relation,domain_of(u))*.
% 299.72/300.38  5251[5:Rew:5180.0,2157.0] ||  -> equal(singleton(u),identity_relation) equal(apply(choice,singleton(u)),u)**.
% 299.72/300.38  146076[5:SpR:40.0,146057.0] ||  -> equal(intersection(range_of(u),cantor(inverse(u))),cantor(inverse(u)))**.
% 299.72/300.38  3929[0:MRR:3919.0,641.0] || member(u,v) subclass(v,w)* well_ordering(complement(x),w)*+ -> member(ordered_pair(u,least(complement(x),v)),x)*.
% 299.72/300.38  125685[7:Res:125624.1,23.0] || equal(intersection(u,v),singleton(identity_relation))** -> member(identity_relation,v).
% 299.72/300.38  125684[7:Res:125624.1,22.0] || equal(intersection(u,v),singleton(identity_relation))** -> member(identity_relation,u).
% 299.72/300.38  164613[5:Rew:118447.0,153001.0] ||  -> subclass(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),union(u,identity_relation))*.
% 299.72/300.38  5338[5:Rew:5180.0,2091.0] ||  -> equal(cross_product(u,v),identity_relation) equal(ordered_pair(first(regular(cross_product(u,v))),second(regular(cross_product(u,v)))),regular(cross_product(u,v)))**.
% 299.72/300.38  198788[17:Res:7.1,198785.0] || equal(complement(singleton(singleton(singleton(singleton(identity_relation))))),domain_relation)** -> .
% 299.72/300.38  198785[17:MRR:198769.1,47801.0] || subclass(domain_relation,complement(singleton(singleton(singleton(singleton(identity_relation))))))* -> .
% 299.72/300.38  124965[5:Res:4733.1,113722.0] || member(u,complement(singleton(u)))* -> equal(singleton(u),identity_relation).
% 299.72/300.38  5427[5:Rew:5180.0,3549.2] inductive(u) || well_ordering(v,u) -> equal(image(successor_relation,u),identity_relation) member(least(v,image(successor_relation,u)),image(successor_relation,u))*.
% 299.72/300.38  5707[5:Rew:5180.0,5250.1] ||  -> equal(singleton(u),identity_relation) equal(intersection(singleton(u),u),identity_relation)**.
% 299.72/300.38  198644[5:Res:162500.1,113727.0] || equal(complement(singleton(regular(u))),universal_class)** -> equal(u,identity_relation).
% 299.72/300.38  198646[5:MRR:198641.1,5185.0] inductive(complement(singleton(regular(omega)))) ||  -> .
% 299.72/300.38  113727[5:MRR:113689.0,29542.1] || subclass(u,complement(singleton(regular(u))))* -> equal(u,identity_relation).
% 299.72/300.38  3564[3:MRR:3557.3,480.1] || connected(u,v) well_ordering(w,v) -> well_ordering(u,v) member(least(w,not_well_ordering(u,v)),not_well_ordering(u,v))*.
% 299.72/300.38  106230[5:Obv:106191.0] ||  -> equal(sum_class(singleton(u)),identity_relation) member(u,sum_class(singleton(u)))*.
% 299.72/300.38  8417[5:Res:8279.0,5229.1] inductive(symmetric_difference(u,singleton(u))) ||  -> member(identity_relation,successor(u))*.
% 299.72/300.38  3524[0:Res:59.1,2.0] || member(ordered_pair(u,v),compose(w,x))* subclass(image(w,image(x,singleton(u))),y)*+ -> member(v,y)*.
% 299.72/300.38  8412[5:Res:8278.0,5229.1] inductive(symmetric_difference(u,inverse(u))) ||  -> member(identity_relation,symmetrization_of(u))*.
% 299.72/300.38  196832[17:Res:55.1,195267.1] || member(u,universal_class) equal(rest_of(sum_class(u)),rest_relation)** -> .
% 299.72/300.38  754[0:SpR:123.0,101.1] || member(restrict(u,v,singleton(w)),universal_class) -> member(ordered_pair(restrict(u,v,singleton(w)),segment(u,v,w)),domain_relation)*.
% 299.72/300.38  196829[17:Res:57.1,195267.1] || member(u,universal_class) equal(rest_of(power_class(u)),rest_relation)** -> .
% 299.72/300.38  196082[17:Res:8771.1,195164.0] || well_ordering(u,universal_class) -> equal(cantor(least(u,universal_class)),identity_relation)**.
% 299.72/300.38  5426[5:Rew:5180.0,3541.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(compose(v,w),identity_relation) member(least(u,compose(v,w)),compose(v,w))*.
% 299.72/300.38  196081[17:Res:53058.1,195164.0] || well_ordering(u,universal_class) -> equal(cantor(least(u,rest_relation)),identity_relation)**.
% 299.72/300.38  196080[17:Res:53064.1,195164.0] || well_ordering(u,rest_relation) -> equal(cantor(least(u,rest_relation)),identity_relation)**.
% 299.72/300.38  5490[5:Rew:5180.0,3918.3] || member(u,v)+ subclass(v,w)* well_ordering(omega,w)* -> equal(integer_of(ordered_pair(u,least(omega,v))),identity_relation)**.
% 299.72/300.38  195614[17:MRR:195552.0,176.0] || subclass(domain_relation,u) -> member(singleton(singleton(singleton(identity_relation))),u)*.
% 299.72/300.38  195363[17:Rew:195296.0,656.1] || member(singleton(singleton(singleton(u))),domain_relation)* -> equal(identity_relation,u).
% 299.72/300.38  195312[17:Res:8771.1,195144.0] || well_ordering(u,universal_class) -> equal(domain_of(least(u,universal_class)),identity_relation)**.
% 299.72/300.38  195311[17:Res:53058.1,195144.0] || well_ordering(u,universal_class) -> equal(domain_of(least(u,rest_relation)),identity_relation)**.
% 299.72/300.38  195310[17:Res:53064.1,195144.0] || well_ordering(u,rest_relation) -> equal(domain_of(least(u,rest_relation)),identity_relation)**.
% 299.72/300.38  5380[5:Rew:5180.0,1055.0] ||  -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)** equal(apply(choice,unordered_pair(u,v)),u)**.
% 299.72/300.38  195220[17:Rew:195144.1,168535.1] || member(u,universal_class) equal(sum_class(range_of(u)),identity_relation)** -> .
% 299.72/300.38  195655[17:SpL:195296.0,122838.1] || subclass(rest_relation,rest_of(singleton(u)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.38  5424[5:Rew:5180.0,3550.2] || member(u,universal_class) well_ordering(v,u) -> equal(sum_class(u),identity_relation) member(least(v,sum_class(u)),sum_class(u))*.
% 299.72/300.38  196073[17:Res:29531.1,195164.0] ||  -> subclass(u,v) equal(cantor(not_subclass_element(u,v)),identity_relation)**.
% 299.72/300.38  195303[17:Res:29531.1,195144.0] ||  -> subclass(u,v) equal(domain_of(not_subclass_element(u,v)),identity_relation)**.
% 299.72/300.38  5454[5:Rew:5180.0,3600.2] inductive(u) || well_ordering(v,u) -> equal(segment(v,image(successor_relation,u),least(v,image(successor_relation,u))),identity_relation)**.
% 299.72/300.38  196078[17:Res:7512.1,195164.0] function(u) ||  -> equal(cantor(apply(u,v)),identity_relation)**.
% 299.72/300.38  195308[17:Res:7512.1,195144.0] function(u) ||  -> equal(domain_of(apply(u,v)),identity_relation)**.
% 299.72/300.38  197290[17:MRR:197214.2,5188.0] || member(inverse(u),universal_class)* -> equal(range_of(u),identity_relation).
% 299.72/300.38  196456[17:MRR:196398.2,5240.0] || equal(rest_of(u),rest_relation)** -> equal(singleton(u),identity_relation).
% 299.72/300.38  196425[17:SpR:195326.1,40.0] ||  -> equal(singleton(inverse(u)),identity_relation)** equal(range_of(u),identity_relation).
% 299.72/300.38  5421[5:Rew:5180.0,3546.1] || well_ordering(u,cross_product(cross_product(universal_class,universal_class),universal_class))*+ -> equal(flip(v),identity_relation) member(least(u,flip(v)),flip(v))*.
% 299.72/300.38  196367[17:MRR:196309.2,5240.0] || equal(rest_of(u),rest_relation) -> equal(integer_of(u),identity_relation)**.
% 299.72/300.38  196335[17:SpR:195325.1,40.0] ||  -> equal(integer_of(inverse(u)),identity_relation)** equal(range_of(u),identity_relation).
% 299.72/300.38  5422[5:Rew:5180.0,3547.1] || well_ordering(u,cross_product(cross_product(universal_class,universal_class),universal_class))*+ -> equal(rotate(v),identity_relation) member(least(u,rotate(v)),rotate(v))*.
% 299.72/300.38  196280[17:MRR:196239.2,5240.0] || equal(rest_of(regular(u)),rest_relation)** -> equal(u,identity_relation).
% 299.72/300.38  196075[17:Res:55.1,195164.0] || member(u,universal_class) -> equal(cantor(sum_class(u)),identity_relation)**.
% 299.72/300.38  196072[17:Res:57.1,195164.0] || member(u,universal_class) -> equal(cantor(power_class(u)),identity_relation)**.
% 299.72/300.38  989[0:Res:130.2,8.0] || connected(u,v) subclass(v,not_well_ordering(u,v))* -> well_ordering(u,v) equal(not_well_ordering(u,v),v).
% 299.72/300.38  195305[17:Res:55.1,195144.0] || member(u,universal_class) -> equal(domain_of(sum_class(u)),identity_relation)**.
% 299.72/300.38  195299[17:Res:57.1,195144.0] || member(u,universal_class) -> equal(domain_of(power_class(u)),identity_relation)**.
% 299.72/300.38  195267[17:Con:195126.2] || equal(rest_of(u),rest_relation) member(u,universal_class)* -> .
% 299.72/300.38  5450[5:Rew:5180.0,3592.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(segment(u,compose(v,w),least(u,compose(v,w))),identity_relation)**.
% 299.72/300.38  195479[17:SpL:195297.0,122838.1] || subclass(rest_relation,rest_of(omega))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.38  5453[5:Rew:5180.0,3601.2] || member(u,universal_class) well_ordering(v,u) -> equal(segment(v,sum_class(u),least(v,sum_class(u))),identity_relation)**.
% 299.72/300.38  196096[17:Res:16080.1,195164.0] ||  -> equal(singleton(u),identity_relation) equal(cantor(u),identity_relation)**.
% 299.72/300.39  196095[17:Res:123649.1,195164.0] ||  -> equal(integer_of(u),identity_relation)** equal(cantor(u),identity_relation).
% 299.72/300.39  5330[5:Rew:5180.0,861.1] || member(intersection(u,v),universal_class) -> equal(intersection(u,v),identity_relation) member(apply(choice,intersection(u,v)),v)*.
% 299.72/300.39  196077[17:Res:29542.1,195164.0] ||  -> equal(u,identity_relation) equal(cantor(regular(u)),identity_relation)**.
% 299.72/300.39  195326[17:Res:16080.1,195144.0] ||  -> equal(singleton(u),identity_relation) equal(domain_of(u),identity_relation)**.
% 299.72/300.39  195325[17:Res:123649.1,195144.0] ||  -> equal(integer_of(u),identity_relation) equal(domain_of(u),identity_relation)**.
% 299.72/300.39  195307[17:Res:29542.1,195144.0] ||  -> equal(u,identity_relation) equal(domain_of(regular(u)),identity_relation)**.
% 299.72/300.39  5331[5:Rew:5180.0,860.1] || member(intersection(u,v),universal_class) -> equal(intersection(u,v),identity_relation) member(apply(choice,intersection(u,v)),u)*.
% 299.72/300.39  195170[17:Res:5201.1,195123.1] inductive(domain_of(u)) || member(u,universal_class)* -> .
% 299.72/300.39  195164[17:Res:5588.1,195123.1] || member(u,universal_class)* -> equal(cantor(u),identity_relation).
% 299.72/300.39  195904[17:MRR:195856.1,5240.0] || equal(rest_of(ordered_pair(u,v)),rest_relation)** -> .
% 299.72/300.39  5451[5:Rew:5180.0,3597.1] || well_ordering(u,cross_product(cross_product(universal_class,universal_class),universal_class)) -> equal(segment(u,flip(v),least(u,flip(v))),identity_relation)**.
% 299.72/300.39  195829[17:MRR:195790.1,5240.0] || equal(rest_of(unordered_pair(u,v)),rest_relation)** -> .
% 299.72/300.39  5452[5:Rew:5180.0,3598.1] || well_ordering(u,cross_product(cross_product(universal_class,universal_class),universal_class)) -> equal(segment(u,rotate(v),least(u,rotate(v))),identity_relation)**.
% 299.72/300.39  195888[17:Rew:5304.0,195850.0] ||  -> equal(cantor(ordered_pair(u,v)),identity_relation)**.
% 299.72/300.39  195820[17:Rew:5304.0,195784.0] ||  -> equal(cantor(unordered_pair(u,v)),identity_relation)**.
% 299.72/300.39  195327[17:Res:641.0,195144.0] ||  -> equal(domain_of(ordered_pair(u,v)),identity_relation)**.
% 299.72/300.39  5328[5:Rew:5180.0,3542.2] function(u) || well_ordering(v,cross_product(universal_class,universal_class))*+ -> equal(u,identity_relation) member(least(v,u),u)*.
% 299.72/300.39  195298[17:Res:12.0,195144.0] ||  -> equal(domain_of(unordered_pair(u,v)),identity_relation)**.
% 299.72/300.39  195672[17:MRR:195628.1,5240.0] || equal(rest_of(singleton(u)),rest_relation)** -> .
% 299.72/300.39  5449[5:Rew:5180.0,3593.2] function(u) || well_ordering(v,cross_product(universal_class,universal_class)) -> equal(segment(v,u,least(v,u)),identity_relation)**.
% 299.72/300.39  195448[17:MRR:195441.0,176.0] ||  -> member(singleton(singleton(singleton(identity_relation))),domain_relation)*.
% 299.72/300.39  195660[17:Rew:5304.0,195622.0] ||  -> equal(cantor(singleton(u)),identity_relation)**.
% 299.72/300.39  195296[17:Res:176.0,195144.0] ||  -> equal(domain_of(singleton(u)),identity_relation)**.
% 299.72/300.39  195177[17:Rew:195144.1,781.2] || member(u,universal_class) subclass(domain_relation,v) -> member(ordered_pair(u,identity_relation),v)*.
% 299.72/300.39  195494[17:MRR:195456.1,5240.0] || equal(rest_of(omega),rest_relation)** -> .
% 299.72/300.39  195484[17:Rew:5304.0,195450.0] ||  -> equal(cantor(omega),identity_relation)**.
% 299.72/300.39  195297[17:Res:53.0,195144.0] ||  -> equal(domain_of(omega),identity_relation)**.
% 299.72/300.39  195176[17:Rew:195144.1,101.1] || member(u,universal_class) -> member(ordered_pair(u,identity_relation),domain_relation)*.
% 299.72/300.39  195144[17:Res:5220.1,195123.1] || member(u,universal_class)* -> equal(domain_of(u),identity_relation).
% 299.72/300.39  195265[17:MRR:195264.1,3330.1] || equal(rest_of(u),universal_class)** -> .
% 299.72/300.39  195243[17:MRR:195162.1,29594.1] || subclass(universal_class,rest_of(u))* -> .
% 299.72/300.39  5588[5:Rew:5180.0,5035.0] ||  -> equal(cantor(u),identity_relation) member(regular(cantor(u)),domain_of(u))*.
% 299.72/300.39  195052[5:Res:32904.1,153534.1] || equal(complement(cantor(u)),universal_class)** -> equal(domain_of(u),identity_relation).
% 299.72/300.39  32904[5:Res:5220.1,29473.0] ||  -> equal(domain_of(u),identity_relation) member(regular(domain_of(u)),cantor(u))*.
% 299.72/300.39  124562[5:Res:124517.0,5229.1] inductive(symmetric_difference(u,u)) ||  -> member(identity_relation,complement(complement(u)))*.
% 299.72/300.39  5419[5:Rew:5180.0,3539.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(rest_of(v),identity_relation) member(least(u,rest_of(v)),rest_of(v))*.
% 299.72/300.39  194882[5:SpR:168067.1,22519.0] || equal(complement(domain_of(u)),universal_class)** -> equal(cantor(u),identity_relation).
% 299.72/300.39  194994[5:Obv:194993.1] || equal(complement(u),universal_class) -> asymmetric(u,v)*.
% 299.72/300.39  168067[5:Res:5294.1,153534.1] || equal(complement(u),universal_class) -> equal(intersection(u,v),identity_relation)**.
% 299.72/300.39  194821[5:Obv:194820.1] || equal(complement(inverse(u)),universal_class)**+ -> asymmetric(u,v)*.
% 299.72/300.39  5420[5:Rew:5180.0,3540.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(compose_class(v),identity_relation) member(least(u,compose_class(v)),compose_class(v))*.
% 299.72/300.39  168166[5:Res:5295.1,153534.1] || equal(complement(u),universal_class) -> equal(intersection(v,u),identity_relation)**.
% 299.72/300.39  165517[5:Res:153612.1,62.0] || equal(complement(compose(u,inverse(u))),universal_class)** -> single_valued_class(u).
% 299.72/300.39  163514[5:Res:162500.1,122507.0] || equal(complement(complement(symmetrization_of(u))),universal_class)**+ -> connected(u,v)*.
% 299.72/300.39  193604[5:MRR:193597.2,5188.0] inductive(complement(symmetrization_of(u))) || equal(inverse(u),universal_class)** -> .
% 299.72/300.39  194589[5:Res:194316.1,711.0] || equal(inverse(u),universal_class) -> equal(symmetrization_of(u),universal_class)**.
% 299.72/300.39  194356[5:MRR:194355.1,5.0] || equal(inverse(u),universal_class) -> connected(u,v)*.
% 299.72/300.39  3691[0:Res:3.1,126.0] || subclass(u,v)*+ well_ordering(w,v)* -> subclass(u,x)* member(least(w,u),u)*.
% 299.72/300.39  193112[7:Res:7.1,125628.0] || equal(cantor(u),singleton(identity_relation)) -> member(identity_relation,domain_of(u))*.
% 299.72/300.39  192110[15:SpL:191735.0,4722.0] || equal(u,singleton(singleton(identity_relation))) -> member(singleton(identity_relation),u)*.
% 299.72/300.39  3692[3:Res:451.1,126.0] inductive(u) || subclass(u,v)*+ well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.72/300.39  194012[15:Res:162506.1,191968.0] ||  -> member(singleton(identity_relation),u) member(singleton(identity_relation),complement(u))*.
% 299.72/300.39  191968[15:Res:191733.0,2.0] || subclass(singleton(singleton(identity_relation)),u)* -> member(singleton(identity_relation),u).
% 299.72/300.39  5402[5:Rew:5180.0,3548.2] || equal(u,v)*+ well_ordering(w,u)* -> equal(v,identity_relation) member(least(w,v),v)*.
% 299.72/300.39  5448[5:Rew:5180.0,3599.2] || equal(u,v)*+ well_ordering(w,u)* -> equal(segment(w,v,least(w,v)),identity_relation)**.
% 299.72/300.39  5329[5:Rew:5180.0,858.2] || member(u,universal_class) subclass(u,v) -> equal(u,identity_relation) member(apply(choice,u),v)*.
% 299.72/300.39  827[0:Res:66.2,2.0] function(u) || member(v,universal_class) subclass(universal_class,w) -> member(image(u,v),w)*.
% 299.72/300.39  191620[12:Res:16080.1,178263.0] || member(u,universal_class) -> equal(singleton(sum_class(range_of(u))),identity_relation)**.
% 299.72/300.39  191619[12:Res:123649.1,178263.0] || member(u,universal_class) -> equal(integer_of(sum_class(range_of(u))),identity_relation)**.
% 299.72/300.39  193579[7:Res:189491.0,189738.0] ||  -> subclass(singleton(apply(choice,singleton(identity_relation))),singleton(identity_relation))*.
% 299.72/300.39  189491[7:Rew:189431.0,165769.1] ||  -> member(u,complement(singleton(identity_relation)))* subclass(singleton(u),singleton(identity_relation)).
% 299.72/300.39  189483[7:Rew:189431.0,125402.0] || subclass(singleton(identity_relation),complement(u))* member(identity_relation,u) -> .
% 299.72/300.39  5444[5:Rew:5180.0,3590.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(segment(u,rest_of(v),least(u,rest_of(v))),identity_relation)**.
% 299.72/300.39  189307[7:Res:167376.1,125680.1] || equal(complement(complement(u)),singleton(identity_relation))** -> member(identity_relation,u).
% 299.72/300.39  189303[7:Res:5196.1,125680.1] || subclass(universal_class,u)* equal(complement(u),singleton(identity_relation)) -> .
% 299.72/300.39  189302[7:Res:119647.1,125680.1] || equal(u,universal_class) equal(complement(u),singleton(identity_relation))** -> .
% 299.72/300.39  189299[14:Res:178018.1,125680.1] || subclass(omega,u)* equal(complement(u),singleton(identity_relation)) -> .
% 299.72/300.39  5445[5:Rew:5180.0,3591.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(segment(u,compose_class(v),least(u,compose_class(v))),identity_relation)**.
% 299.72/300.39  189298[14:Res:178680.1,125680.1] || equal(u,omega) equal(complement(u),singleton(identity_relation))** -> .
% 299.72/300.39  176818[7:Res:45832.1,125550.0] || member(identity_relation,cantor(u)) well_ordering(universal_class,domain_of(u))* -> .
% 299.72/300.39  122838[0:MRR:111328.0,176.0] || subclass(rest_relation,rest_of(u)) well_ordering(universal_class,domain_of(u))* -> .
% 299.72/300.39  111306[0:Res:3780.1,111279.0] || equal(complement(complement(u)),universal_class)** well_ordering(universal_class,u) -> .
% 299.72/300.39  177102[5:Res:163531.1,5375.0] || equal(power_class(u),universal_class) -> equal(complement(power_class(u)),identity_relation)**.
% 299.72/300.39  5377[5:Rew:5180.0,859.2] || member(complement(u),universal_class) member(apply(choice,complement(u)),u)* -> equal(complement(u),identity_relation).
% 299.72/300.39  125628[7:Res:45819.1,125552.0] || subclass(singleton(identity_relation),cantor(u))* -> member(identity_relation,domain_of(u)).
% 299.72/300.39  47983[5:Res:47679.0,5229.1] inductive(complement(complement(cantor(u)))) ||  -> member(identity_relation,domain_of(u))*.
% 299.72/300.39  177107[5:Res:150282.1,5375.0] || equal(range_of(u),universal_class) -> equal(complement(range_of(u)),identity_relation)**.
% 299.72/300.39  558[0:SpR:54.0,101.1] || member(restrict(element_relation,universal_class,u),universal_class) -> member(ordered_pair(restrict(element_relation,universal_class,u),sum_class(u)),domain_relation)*.
% 299.72/300.39  150333[5:Res:150282.1,3646.0] || equal(range_of(u),universal_class) -> section(element_relation,range_of(u),universal_class)*.
% 299.72/300.39  178685[14:SpL:22595.0,178572.0] || equal(cantor(inverse(u)),omega) -> member(identity_relation,range_of(u))*.
% 299.72/300.39  178053[14:Res:178018.1,610.0] || subclass(omega,cantor(inverse(u)))* -> member(identity_relation,range_of(u)).
% 299.72/300.39  192061[15:Res:191859.0,125680.1] || equal(complement(ordered_pair(sum_class(range_of(identity_relation)),u)),singleton(identity_relation))** -> .
% 299.72/300.39  5447[5:Rew:5180.0,3596.1] || well_ordering(u,cross_product(universal_class,cross_product(universal_class,universal_class)))*+ -> equal(segment(u,composition_function,least(u,composition_function)),identity_relation)**.
% 299.72/300.39  192778[16:SoR:192719.0,72.1] one_to_one(successor(range_of(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  192767[17:MRR:192734.2,5188.0] || member(u,domain_of(v)) member(ordered_pair(v,ordered_pair(u,w)),cross_product(universal_class,cross_product(universal_class,universal_class)))* -> .
% 299.72/300.39  192719[16:Res:63.1,192688.0] function(successor(range_of(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  192720[16:Res:7.1,192688.0] || equal(u,successor(range_of(identity_relation)))*+ -> member(identity_relation,u)*.
% 299.72/300.39  192763[17:MRR:192736.1,42101.0] || equal(cross_product(universal_class,cross_product(universal_class,universal_class)),identity_relation)** -> .
% 299.72/300.39  192728[17:Spt:5417.1] ||  -> equal(application_function,identity_relation)**.
% 299.72/300.39  192688[16:Res:192686.0,2.0] || subclass(successor(range_of(identity_relation)),u)* -> member(identity_relation,u).
% 299.72/300.39  192692[16:Res:192686.0,125680.1] || equal(complement(successor(range_of(identity_relation))),singleton(identity_relation))** -> .
% 299.72/300.39  192693[16:Res:192686.0,178202.1] || equal(complement(successor(range_of(identity_relation))),omega)** -> .
% 299.72/300.39  3389[4:Rew:3360.0,332.0] || member(image(u,singleton(v)),universal_class) -> subclass(apply(u,v),image(u,singleton(v)))*.
% 299.72/300.39  192691[16:Res:192686.0,153534.1] || equal(complement(successor(range_of(identity_relation))),universal_class)** -> .
% 299.72/300.39  192686[16:Spt:192142.0] ||  -> member(identity_relation,successor(range_of(identity_relation)))*.
% 299.72/300.39  3413[4:Rew:3360.0,3383.2] || equal(sum_class(u),u) well_ordering(element_relation,u)* -> equal(u,universal_class) member(u,universal_class).
% 299.72/300.39  191858[15:SpR:191663.0,44.0] ||  -> equal(union(sum_class(range_of(identity_relation)),identity_relation),successor(sum_class(range_of(identity_relation))))**.
% 299.72/300.39  5443[5:Rew:5180.0,3602.2] inductive(u) || well_ordering(v,u)*+ -> equal(segment(v,omega,least(v,omega)),identity_relation)**.
% 299.72/300.39  5392[5:Rew:5180.0,3284.2] || member(u,universal_class) -> member(u,domain_of(v)) equal(image(v,singleton(u)),range_of(identity_relation))**.
% 299.72/300.39  192336[12:Res:16080.1,191616.0] || member(u,universal_class) -> equal(singleton(range_of(u)),identity_relation)**.
% 299.72/300.39  192335[12:Res:123649.1,191616.0] || member(u,universal_class) -> equal(integer_of(range_of(u)),identity_relation)**.
% 299.72/300.39  191616[12:Res:55.1,178263.0] || member(range_of(u),universal_class)* member(u,universal_class) -> .
% 299.72/300.39  192062[15:Res:191859.0,178202.1] || equal(complement(ordered_pair(sum_class(range_of(identity_relation)),u)),omega)** -> .
% 299.72/300.39  122857[5:Rew:119684.0,5410.0] ||  -> equal(symmetric_difference(universal_class,intersection(singleton(identity_relation),image(successor_relation,universal_class))),symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)))**.
% 299.72/300.39  191996[15:Res:191738.0,125680.1] || equal(complement(ordered_pair(range_of(identity_relation),u)),singleton(identity_relation))** -> .
% 299.72/300.39  191820[15:Rew:119684.0,191741.0,22454.0,191741.0] ||  -> subclass(complement(successor(range_of(identity_relation))),symmetric_difference(universal_class,range_of(identity_relation)))*.
% 299.72/300.39  191817[15:Rew:22454.0,191740.0] ||  -> subclass(symmetric_difference(complement(range_of(identity_relation)),universal_class),successor(range_of(identity_relation)))*.
% 299.72/300.39  191734[15:SpR:191728.0,123654.1] || well_ordering(universal_class,omega) -> equal(integer_of(singleton(identity_relation)),identity_relation)**.
% 299.72/300.39  191997[15:Res:191738.0,178202.1] || equal(complement(ordered_pair(range_of(identity_relation),u)),omega)** -> .
% 299.72/300.39  191737[15:SpR:191728.0,44.0] ||  -> equal(union(range_of(identity_relation),identity_relation),successor(range_of(identity_relation)))**.
% 299.72/300.39  727[0:Res:49.1,8.0] inductive(u) || subclass(u,image(successor_relation,u))* -> equal(image(successor_relation,u),u).
% 299.72/300.39  191859[15:SpR:191663.0,646.0] ||  -> member(identity_relation,ordered_pair(sum_class(range_of(identity_relation)),u))*.
% 299.72/300.39  191810[15:SpL:191728.0,111352.0] || well_ordering(universal_class,unordered_pair(u,singleton(identity_relation)))* -> .
% 299.72/300.39  191808[15:SpL:191728.0,3632.0] || subclass(universal_class,complement(unordered_pair(u,identity_relation)))* -> .
% 299.72/300.39  191795[15:SpL:191728.0,3633.0] || subclass(universal_class,complement(unordered_pair(identity_relation,u)))* -> .
% 299.72/300.39  191782[15:SpL:191728.0,111351.0] || well_ordering(universal_class,unordered_pair(singleton(identity_relation),u))* -> .
% 299.72/300.39  192031[15:Res:7.1,192013.0] || equal(element_relation,rest_relation)** -> .
% 299.72/300.39  192013[15:Res:152260.1,191627.0] || subclass(rest_relation,element_relation)* -> .
% 299.72/300.39  191738[15:SpR:191728.0,646.0] ||  -> member(identity_relation,ordered_pair(range_of(identity_relation),u))*.
% 299.72/300.39  191779[15:SpL:191728.0,86937.0] || well_ordering(universal_class,singleton(singleton(identity_relation)))* -> .
% 299.72/300.39  191733[15:SpR:191728.0,651.0] ||  -> member(singleton(identity_relation),singleton(singleton(identity_relation)))*.
% 299.72/300.39  191663[15:Res:16080.1,191627.0] ||  -> equal(singleton(sum_class(range_of(identity_relation))),identity_relation)**.
% 299.72/300.39  191662[15:Res:123649.1,191627.0] ||  -> equal(integer_of(sum_class(range_of(identity_relation))),identity_relation)**.
% 299.72/300.39  191728[15:Res:16080.1,191661.0] ||  -> equal(singleton(range_of(identity_relation)),identity_relation)**.
% 299.72/300.39  191661[15:Res:55.1,191627.0] || member(range_of(identity_relation),universal_class)* -> .
% 299.72/300.39  191639[15:MRR:5205.1,191629.0] inductive(recursion_equation_functions(u)) ||  -> .
% 299.72/300.39  191651[15:MRR:7554.1,191627.0] one_to_one(identity_relation) ||  -> .
% 299.72/300.39  191637[15:MRR:168555.1,191629.0] one_to_one(union_of_range_map) ||  -> .
% 299.72/300.39  191636[15:MRR:168554.1,191629.0] function(union_of_range_map) ||  -> .
% 299.72/300.39  191635[15:MRR:168480.1,191629.0] single_valued_class(union_of_range_map) ||  -> .
% 299.72/300.39  191634[15:MRR:5202.1,191629.0] single_valued_class(singleton_relation) ||  -> .
% 299.72/300.39  191633[15:MRR:5795.1,191629.0] single_valued_class(identity_relation) ||  -> .
% 299.72/300.39  191632[15:MRR:5903.1,191629.0] function(singleton_relation) ||  -> .
% 299.72/300.39  191627[15:Spt:191625.0,122370.1,178913.0] || member(sum_class(range_of(identity_relation)),universal_class)* -> .
% 299.72/300.39  191631[15:MRR:5947.1,191629.0] one_to_one(singleton_relation) ||  -> .
% 299.72/300.39  191629[15:MRR:7524.1,191627.0] function(identity_relation) ||  -> .
% 299.72/300.39  191628[15:Spt:191625.0,122370.0] ||  -> equal(integer_of(range_of(identity_relation)),identity_relation)**.
% 299.72/300.39  178263[12:EqR:168537.2] || member(sum_class(range_of(u)),universal_class)* member(u,universal_class) -> .
% 299.72/300.39  168537[12:MRR:168486.3,5188.0] || member(u,universal_class)* member(v,universal_class) equal(sum_class(range_of(v)),u)*+ -> .
% 299.72/300.39  126709[5:SpR:40.0,122380.0] ||  -> equal(symmetric_difference(universal_class,cantor(inverse(u))),symmetric_difference(range_of(u),universal_class))**.
% 299.72/300.39  145948[5:SpL:40.0,145924.0] || equal(range_of(u),universal_class) -> equal(cantor(inverse(u)),universal_class)**.
% 299.72/300.39  77727[0:SpR:77667.1,40.0] || equal(rest_of(inverse(u)),rest_relation)** -> equal(range_of(u),universal_class).
% 299.72/300.39  87316[0:Res:86994.1,711.0] || equal(cantor(inverse(u)),universal_class)** -> equal(range_of(u),universal_class).
% 299.72/300.39  795[0:Res:761.1,610.0] || subclass(universal_class,cantor(inverse(u)))* -> member(omega,range_of(u)).
% 299.72/300.39  146241[5:SpR:145868.1,22595.0] || subclass(universal_class,range_of(u))* -> equal(cantor(inverse(u)),universal_class).
% 299.72/300.39  5237[5:Rew:5180.0,3907.1] || subclass(universal_class,cantor(inverse(u)))* -> member(identity_relation,range_of(u)).
% 299.72/300.39  5439[5:Rew:5180.0,3586.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(segment(u,rest_relation,least(u,rest_relation)),identity_relation)**.
% 299.72/300.39  5440[5:Rew:5180.0,3587.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(segment(u,domain_relation,least(u,domain_relation)),identity_relation)**.
% 299.72/300.39  5441[5:Rew:5180.0,3588.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(segment(u,successor_relation,least(u,successor_relation)),identity_relation)**.
% 299.72/300.39  5442[5:Rew:5180.0,3589.1] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(segment(u,element_relation,least(u,element_relation)),identity_relation)**.
% 299.72/300.39  179710[5:Rew:6791.0,179670.1] || equal(complement(u),universal_class) -> equal(union(u,identity_relation),identity_relation)**.
% 299.72/300.39  178723[14:Res:178680.1,119659.0] || equal(symmetric_difference(universal_class,u),omega)** member(identity_relation,u) -> .
% 299.72/300.39  191294[14:Res:178692.1,125384.0] || equal(symmetric_difference(universal_class,singleton(identity_relation)),omega)** -> .
% 299.72/300.39  178692[14:SpL:119684.0,178572.0] || equal(symmetric_difference(universal_class,u),omega) -> member(identity_relation,complement(u))*.
% 299.72/300.39  178298[14:Res:125624.1,178202.1] || equal(u,singleton(identity_relation)) equal(complement(u),omega)** -> .
% 299.72/300.39  178043[14:Res:178018.1,119626.0] || subclass(omega,symmetric_difference(universal_class,u))* -> member(identity_relation,complement(u)).
% 299.72/300.39  191229[14:Res:7.1,191077.0] || equal(intersection(power_class(universal_class),universal_class),omega)** -> .
% 299.72/300.39  191210[14:Res:7.1,191076.0] || equal(intersection(power_class(identity_relation),universal_class),omega)** -> .
% 299.72/300.39  191230[14:Res:52.1,191077.0] inductive(intersection(power_class(universal_class),universal_class)) ||  -> .
% 299.72/300.39  191077[14:MRR:191067.1,168370.0] || subclass(omega,intersection(power_class(universal_class),universal_class))* -> .
% 299.72/300.39  3684[0:Res:53.0,126.0] || subclass(universal_class,u)+ well_ordering(v,u)* -> member(least(v,universal_class),universal_class)*.
% 299.72/300.39  191211[14:Res:52.1,191076.0] inductive(intersection(power_class(identity_relation),universal_class)) ||  -> .
% 299.72/300.39  191076[14:MRR:191066.1,168383.0] || subclass(omega,intersection(power_class(identity_relation),universal_class))* -> .
% 299.72/300.39  579[0:SpR:27.0,56.0] ||  -> equal(complement(image(element_relation,union(u,v))),power_class(intersection(complement(u),complement(v))))**.
% 299.72/300.39  178042[14:Res:178018.1,119659.0] || subclass(omega,symmetric_difference(universal_class,u))* member(identity_relation,u) -> .
% 299.72/300.39  177451[5:Res:146432.1,5375.0] || equal(sum_class(u),universal_class) -> equal(complement(sum_class(u)),identity_relation)**.
% 299.72/300.39  177104[5:Res:146436.1,5375.0] || equal(inverse(u),universal_class) -> equal(complement(inverse(u)),identity_relation)**.
% 299.72/300.39  177103[5:Res:162500.1,5375.0] || equal(complement(u),universal_class) -> equal(complement(complement(u)),identity_relation)**.
% 299.72/300.39  163618[5:Res:163531.1,3646.0] || equal(power_class(u),universal_class) -> section(element_relation,power_class(u),universal_class)*.
% 299.72/300.39  163445[5:Res:162500.1,3646.0] || equal(complement(u),universal_class) -> section(element_relation,complement(u),universal_class)*.
% 299.72/300.39  146509[5:Res:146436.1,3646.0] || equal(inverse(u),universal_class) -> section(element_relation,inverse(u),universal_class)*.
% 299.72/300.39  146451[5:Res:146432.1,3646.0] || equal(sum_class(u),universal_class) -> section(element_relation,sum_class(u),universal_class)*.
% 299.72/300.39  153866[5:Res:153612.1,3646.0] || equal(complement(sum_class(u)),universal_class) -> section(element_relation,u,universal_class)*.
% 299.72/300.39  22654[5:Rew:22446.0,6917.0] ||  -> equal(cantor(restrict(element_relation,universal_class,u)),intersection(sum_class(u),universal_class))**.
% 299.72/300.39  190319[14:Res:178018.1,40810.0] || subclass(omega,rest_of(identity_relation))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.39  5391[5:Rew:5180.0,2572.1] || asymmetric(u,universal_class) -> equal(image(intersection(u,inverse(u)),universal_class),range_of(identity_relation))**.
% 299.72/300.39  190318[14:Res:178680.1,40810.0] || equal(rest_of(identity_relation),omega) subclass(universal_class,complement(element_relation))* -> .
% 299.72/300.39  40810[0:Res:29472.1,1025.1] || member(u,rest_of(u))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.39  40751[0:Res:608.1,40700.0] || member(u,cantor(u))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.39  40700[0:Res:29471.1,1025.1] || member(u,domain_of(u))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.39  122837[5:MRR:26764.1,42101.0] || well_ordering(u,cross_product(universal_class,cross_product(universal_class,universal_class)))* -> member(least(u,composition_function),composition_function).
% 299.72/300.39  189471[7:Rew:189431.0,122495.0] ||  -> equal(complement(image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation))))**.
% 299.72/300.39  189460[7:Rew:189431.0,25720.0] ||  -> equal(symmetric_difference(universal_class,complement(singleton(identity_relation))),intersection(singleton(identity_relation),universal_class))**.
% 299.72/300.39  5404[5:Rew:5180.0,3533.1] || well_ordering(u,universal_class) -> equal(v,identity_relation) member(least(u,v),v)*.
% 299.72/300.39  189738[7:MRR:189737.0,176.0] || member(apply(choice,singleton(identity_relation)),complement(singleton(identity_relation)))* -> .
% 299.72/300.39  189458[7:Rew:189431.0,50777.1] || subclass(rest_relation,successor_relation)* -> equal(rest_of(identity_relation),singleton(identity_relation)).
% 299.72/300.39  189490[14:Rew:189431.0,189091.1] inductive(successor(identity_relation)) ||  -> equal(singleton(identity_relation),omega)**.
% 299.72/300.39  5434[5:Rew:5180.0,3584.1] || well_ordering(u,universal_class) -> equal(segment(u,v,least(u,v)),identity_relation)**.
% 299.72/300.39  189446[7:Rew:189431.0,125386.0] || subclass(singleton(identity_relation),complement(singleton(identity_relation)))* -> .
% 299.72/300.39  189445[7:Rew:189431.0,124150.0] ||  -> equal(complement(complement(singleton(identity_relation))),singleton(identity_relation))**.
% 299.72/300.39  189487[10:Rew:189431.0,188904.0] || subclass(singleton(identity_relation),power_class(universal_class))* -> .
% 299.72/300.39  189486[11:Rew:189431.0,188903.0] || subclass(singleton(identity_relation),power_class(identity_relation))* -> .
% 299.72/300.39  3563[3:MRR:3551.2,450.0] inductive(u) || well_ordering(v,u)*+ -> member(least(v,omega),omega)*.
% 299.72/300.39  189484[7:Rew:189431.0,188901.0] || subclass(singleton(identity_relation),identity_relation)* -> .
% 299.72/300.39  189441[7:Rew:189431.0,125379.0] ||  -> equal(regular(singleton(identity_relation)),identity_relation)**.
% 299.72/300.39  189431[7:MRR:124321.0,189430.0] ||  -> equal(successor(identity_relation),singleton(identity_relation))**.
% 299.72/300.39  125671[7:Res:125624.1,5194.1] || equal(u,singleton(identity_relation)) equal(complement(u),universal_class)** -> .
% 299.72/300.39  331[0:SpR:69.0,55.1] || member(image(u,singleton(v)),universal_class)* -> member(apply(u,v),universal_class).
% 299.72/300.39  125686[7:Res:125624.1,29473.0] || equal(domain_of(u),singleton(identity_relation)) -> member(identity_relation,cantor(u))*.
% 299.72/300.39  189304[7:Res:5201.1,125680.1] inductive(u) || equal(complement(u),singleton(identity_relation))** -> .
% 299.72/300.39  189328[7:MRR:189289.0,5265.0] || equal(complement(unordered_pair(u,identity_relation)),singleton(identity_relation))** -> .
% 299.72/300.39  189327[7:MRR:189288.0,5265.0] || equal(complement(unordered_pair(identity_relation,u)),singleton(identity_relation))** -> .
% 299.72/300.39  5372[5:Rew:5180.0,845.1] || equal(image(successor_relation,u),u)** member(identity_relation,u) -> inductive(u).
% 299.72/300.39  189312[14:Res:178017.0,125680.1] || equal(complement(omega),singleton(identity_relation))** -> .
% 299.72/300.39  125680[7:Res:125624.1,25.1] || equal(complement(u),singleton(identity_relation)) member(identity_relation,u)* -> .
% 299.72/300.39  189086[9:MRR:9131.1,189081.0] inductive(symmetric_difference(successor(universal_class),complement(inverse(identity_relation)))) ||  -> .
% 299.72/300.39  189090[7:MRR:119252.1,189089.0] inductive(symmetric_difference(successor(universal_class),successor(identity_relation))) ||  -> .
% 299.72/300.39  6492[5:MRR:5414.1,6491.0] || well_ordering(u,cross_product(universal_class,universal_class))* -> member(least(u,domain_relation),domain_relation).
% 299.72/300.39  189088[10:MRR:124609.1,189083.0] inductive(symmetric_difference(universal_class,image(element_relation,identity_relation))) ||  -> .
% 299.72/300.39  189087[11:MRR:124601.1,189082.0] inductive(symmetric_difference(universal_class,image(element_relation,universal_class))) ||  -> .
% 299.72/300.39  189085[9:MRR:124623.1,189081.0] inductive(symmetric_difference(inverse(identity_relation),inverse(identity_relation))) ||  -> .
% 299.72/300.39  189084[9:MRR:24877.1,189081.0] inductive(symmetric_difference(universal_class,complement(inverse(identity_relation)))) ||  -> .
% 299.72/300.39  189128[10:Res:125624.1,189083.0] || equal(power_class(universal_class),singleton(identity_relation))** -> .
% 299.72/300.39  189120[11:Res:125624.1,189082.0] || equal(power_class(identity_relation),singleton(identity_relation))** -> .
% 299.72/300.39  189083[10:Res:189059.1,188904.0] || member(identity_relation,power_class(universal_class))* -> .
% 299.72/300.39  189082[11:Res:189059.1,188903.0] || member(identity_relation,power_class(identity_relation))* -> .
% 299.72/300.39  60[0:Inp] || member(u,image(v,image(w,singleton(x))))* member(ordered_pair(x,u),cross_product(universal_class,universal_class)) -> member(ordered_pair(x,u),compose(v,w)).
% 299.72/300.39  5279[5:Rew:5180.0,486.2] || connected(u,v) member(w,not_well_ordering(u,v)) equal(segment(u,not_well_ordering(u,v),w),identity_relation)** -> well_ordering(u,v).
% 299.72/300.39  123654[5:Res:5213.0,111279.0] || well_ordering(universal_class,omega) -> equal(integer_of(singleton(singleton(u))),identity_relation)**.
% 299.72/300.39  128[0:Inp] || member(u,v) subclass(v,w)* well_ordering(x,w)* member(ordered_pair(u,least(x,v)),x)*+ -> .
% 299.72/300.39  126[0:Inp] || member(u,v)*+ subclass(v,w)* well_ordering(x,w)* -> member(least(x,v),v)*.
% 299.72/300.39  5215[5:Rew:5180.0,466.2] || subclass(u,v)*+ well_ordering(w,v)* -> equal(u,identity_relation) member(least(w,u),u)*.
% 299.72/300.39  3583[0:SSi:3575.0,51.0] inductive(image(successor_relation,omega)) ||  -> equal(image(successor_relation,omega),omega)**.
% 299.72/300.39  5259[5:Rew:5180.0,485.2] || subclass(u,v)*+ well_ordering(w,v)* -> equal(segment(w,u,least(w,u)),identity_relation)**.
% 299.72/300.39  59[0:Inp] || member(ordered_pair(u,v),compose(w,x)) -> member(v,image(w,image(x,singleton(u))))*.
% 299.72/300.39  3412[4:Rew:3360.0,3362.2] || well_ordering(element_relation,u) subclass(sum_class(u),u)* -> equal(u,universal_class) member(u,universal_class).
% 299.72/300.39  46090[0:SpR:29.0,45849.0] ||  -> subclass(restrict(cantor(inverse(u)),v,w),range_of(u))*.
% 299.72/300.39  150282[5:Rew:118446.0,150259.1] || equal(range_of(u),universal_class) -> subclass(v,range_of(u))*.
% 299.72/300.39  168536[12:MRR:168483.2,5188.0] || equal(sum_class(range_of(u)),v) member(ordered_pair(u,v),cross_product(universal_class,universal_class))* -> .
% 299.72/300.39  152807[0:Res:122840.1,111279.0] || well_ordering(universal_class,complement(u))* well_ordering(universal_class,u) -> .
% 299.72/300.39  53055[0:Res:348.0,28696.0] || well_ordering(u,rest_relation) -> member(least(u,rest_relation),rest_relation)*.
% 299.72/300.39  53064[0:Res:53055.1,29469.0] || well_ordering(u,rest_relation) -> member(least(u,rest_relation),universal_class)*.
% 299.72/300.39  8771[0:Res:5.0,3684.0] || well_ordering(u,universal_class) -> member(least(u,universal_class),universal_class)*.
% 299.72/300.39  5247[5:Rew:5180.0,480.1] || connected(u,v) equal(not_well_ordering(u,v),identity_relation)** -> well_ordering(u,v).
% 299.72/300.39  53042[0:Res:5.0,28696.0] || well_ordering(u,universal_class) -> member(least(u,rest_relation),rest_relation)*.
% 299.72/300.39  53058[0:Res:53042.1,29469.0] || well_ordering(u,universal_class) -> member(least(u,rest_relation),universal_class)*.
% 299.72/300.39  176811[7:Res:7.1,125550.0] || equal(u,singleton(identity_relation)) well_ordering(universal_class,u)* -> .
% 299.72/300.39  125550[7:Res:125513.0,3924.0] || subclass(singleton(identity_relation),u)* well_ordering(universal_class,u) -> .
% 299.72/300.39  178684[14:SpL:22519.0,178572.0] || equal(cantor(u),omega) -> member(identity_relation,domain_of(u))*.
% 299.72/300.39  178550[14:SpL:22519.0,178033.0] || subclass(omega,cantor(u)) -> member(identity_relation,domain_of(u))*.
% 299.72/300.39  104[0:Inp] ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued1(u))),single_valued2(u)),single_valued3(u))**.
% 299.72/300.39  125672[7:Res:125624.1,1054.0] || equal(singleton(u),singleton(identity_relation))* -> equal(identity_relation,u).
% 299.72/300.39  130[0:Inp] || connected(u,v) -> well_ordering(u,v) subclass(not_well_ordering(u,v),v)*.
% 299.72/300.39  120735[5:SpR:120676.0,8347.0] ||  -> subclass(cantor(inverse(cross_product(u,universal_class))),image(universal_class,u))*.
% 299.72/300.39  5216[5:Rew:5180.0,467.1] || member(u,universal_class) -> equal(u,identity_relation) member(apply(choice,u),u)*.
% 299.72/300.39  22635[5:Rew:22446.0,8611.0] ||  -> subclass(symmetric_difference(range_of(u),universal_class),complement(cantor(inverse(u))))*.
% 299.72/300.39  123608[0:Res:52.1,79033.0] inductive(cantor(inverse(u))) ||  -> subclass(omega,range_of(u))*.
% 299.72/300.39  66[0:Inp] function(u) || member(v,universal_class) -> member(image(u,v),universal_class)*.
% 299.72/300.39  5238[5:Rew:5180.0,616.1] inductive(cantor(inverse(u))) ||  -> member(identity_relation,range_of(u))*.
% 299.72/300.39  5197[5:Rew:5180.0,460.0] || member(identity_relation,u) subclass(image(successor_relation,u),u)* -> inductive(u).
% 299.72/300.39  168531[12:MRR:168519.2,5188.0] inductive(union_of_range_map) || well_ordering(u,cross_product(universal_class,universal_class))* -> .
% 299.72/300.39  85[0:Inp] || compatible(u,v,w)*+ -> subclass(range_of(u),domain_of(domain_of(w)))*.
% 299.72/300.39  165125[5:SpL:5299.0,122838.1] || subclass(rest_relation,rest_of(identity_relation))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.39  7512[0:MRR:7509.1,176.0] function(u) ||  -> member(apply(u,v),universal_class)*.
% 299.72/300.39  45938[0:SpR:40.0,45825.0] ||  -> subclass(intersection(u,cantor(inverse(v))),range_of(v))*.
% 299.72/300.39  168482[12:Rew:168477.0,156.0] ||  -> equal(apply(recursion(u,successor_relation,identity_relation),v),ordinal_add(u,v))**.
% 299.72/300.39  45849[0:SpR:40.0,45823.0] ||  -> subclass(intersection(cantor(inverse(u)),v),range_of(u))*.
% 299.72/300.39  176819[7:Res:162506.1,125550.0] || well_ordering(universal_class,complement(u))* -> member(identity_relation,u).
% 299.72/300.39  111351[0:MRR:111321.0,176.0] || well_ordering(universal_class,unordered_pair(singleton(singleton(u)),v))* -> .
% 299.72/300.39  111352[0:MRR:111322.0,176.0] || well_ordering(universal_class,unordered_pair(u,singleton(singleton(v))))* -> .
% 299.72/300.39  168487[12:Rew:168477.0,5232.0] ||  -> equal(recursion(identity_relation,apply(add_relation,u),identity_relation),ordinal_multiply(u,v))*.
% 299.72/300.39  176814[7:Res:4733.1,125550.0] || member(identity_relation,u) well_ordering(universal_class,u)* -> .
% 299.72/300.39  125028[0:Res:119650.1,111279.0] || equal(u,universal_class) well_ordering(universal_class,u)* -> .
% 299.72/300.39  46278[0:Res:12.0,3924.0] || subclass(universal_class,u) well_ordering(universal_class,u)* -> .
% 299.72/300.39  46333[5:Res:5303.0,3924.0] || subclass(domain_relation,u) well_ordering(universal_class,u)* -> .
% 299.72/300.39  112[0:Inp] || maps(u,v,w)* -> subclass(range_of(u),w).
% 299.72/300.39  8364[5:Res:8346.0,5229.1] inductive(cantor(u)) ||  -> member(identity_relation,domain_of(u))*.
% 299.72/300.39  178025[14:Res:178018.1,1054.0] || subclass(omega,singleton(u))* -> equal(identity_relation,u).
% 299.72/300.39  69[0:Inp] ||  -> equal(sum_class(image(u,singleton(v))),apply(u,v))**.
% 299.72/300.39  178134[14:Res:7.1,178025.0] || equal(singleton(u),omega)** -> equal(identity_relation,u).
% 299.72/300.39  120676[0:SpR:119609.0,43.0] ||  -> equal(range_of(cross_product(u,universal_class)),image(universal_class,u))**.
% 299.72/300.39  22595[5:Rew:22446.0,6916.0] ||  -> equal(intersection(range_of(u),universal_class),cantor(inverse(u)))**.
% 299.72/300.39  43[0:Inp] ||  -> equal(range_of(restrict(u,v,universal_class)),image(u,v))**.
% 299.72/300.39  47940[0:SpR:40.0,47679.0] ||  -> subclass(complement(complement(cantor(inverse(u)))),range_of(u))*.
% 299.72/300.39  166140[5:MRR:166135.1,119647.1] || equal(range_of(u),universal_class) -> inductive(range_of(u))*.
% 299.72/300.39  865[3:MRR:857.0,857.1,53.0,450.0] ||  -> equal(integer_of(apply(choice,omega)),apply(choice,omega))**.
% 299.72/300.39  5695[5:Rew:5180.0,5242.1] || connected(u,identity_relation) -> well_ordering(u,identity_relation)*.
% 299.72/300.39  86937[0:SpL:647.0,86932.0] || well_ordering(universal_class,singleton(singleton(singleton(u))))* -> .
% 299.72/300.39  5625[5:Rew:5180.0,5157.0] ||  -> equal(apply(identity_relation,u),sum_class(range_of(identity_relation)))**.
% 299.72/300.39  49[0:Inp] inductive(u) ||  -> subclass(image(successor_relation,u),u)*.
% 299.72/300.39  5255[5:Rew:5180.0,3477.0] ||  -> equal(union(singleton(identity_relation),image(successor_relation,universal_class)),universal_class)**.
% 299.72/300.39  86932[0:Res:348.0,46366.0] || well_ordering(universal_class,ordered_pair(u,v))* -> .
% 299.72/300.39  8347[5:SpR:6916.0,8325.0] ||  -> subclass(cantor(inverse(u)),range_of(u))*.
% 299.72/300.39  5309[5:Rew:5180.0,4931.0] ||  -> equal(image(identity_relation,u),range_of(identity_relation))**.
% 299.72/300.39  124[0:Inp] || well_ordering(u,v)* -> connected(u,v).
% 299.72/300.39  168530[12:MRR:168518.1,5188.0] || equal(sum_class(range_of(identity_relation)),identity_relation)** -> .
% 299.72/300.39  3366[4:Rew:3360.0,135.0] || member(u,universal_class) -> well_ordering(element_relation,u)*.
% 299.72/300.39  176712[7:Res:124279.0,125407.0] || well_ordering(universal_class,singleton(identity_relation))* -> .
% 299.72/300.39  40[0:Inp] ||  -> equal(domain_of(inverse(u)),range_of(u))**.
% 299.72/300.39  86922[0:Res:5.0,46366.0] || well_ordering(universal_class,universal_class)* -> .
% 299.72/300.39  5390[5:Rew:5180.0,2527.0] || equal(restrict(restrict(inverse(cross_product(u,v)),u,v),w,w),identity_relation)** -> asymmetric(cross_product(u,v),w).
% 299.72/300.39  5389[5:Rew:5180.0,2580.1] || asymmetric(cross_product(u,v),w) -> equal(restrict(restrict(inverse(cross_product(u,v)),u,v),w,w),identity_relation)**.
% 299.72/300.39  5400[5:Rew:5180.0,2576.1] || asymmetric(u,singleton(v)) -> equal(range__dfg(intersection(u,inverse(u)),v,singleton(v)),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.72/300.39  3743[0:Res:17.2,47.1] || member(u,universal_class) member(v,universal_class) equal(successor(v),u) -> member(ordered_pair(v,u),successor_relation)*.
% 299.72/300.39  5381[5:Rew:5180.0,1046.0] ||  -> equal(unordered_pair(u,v),identity_relation) equal(regular(unordered_pair(u,v)),v)** equal(regular(unordered_pair(u,v)),u)**.
% 299.72/300.39  12196[5:Res:7.1,6460.0] || equal(singleton(u),domain_relation)**+ -> equal(ordered_pair(identity_relation,identity_relation),u)*.
% 299.72/300.39  6460[5:Res:5615.1,1054.0] || subclass(domain_relation,singleton(u))* -> equal(ordered_pair(identity_relation,identity_relation),u).
% 299.72/300.39  166528[5:Res:119647.1,119659.0] || equal(symmetric_difference(universal_class,u),universal_class)** member(identity_relation,u) -> .
% 299.72/300.39  5401[5:Rew:5180.0,3285.2] || member(u,universal_class) -> member(u,domain_of(v)) equal(second(not_subclass_element(identity_relation,identity_relation)),range__dfg(v,u,universal_class))*.
% 299.72/300.39  180140[10:Res:7.1,180129.0] || equal(intersection(power_class(universal_class),universal_class),universal_class)** -> .
% 299.72/300.39  180135[11:Res:7.1,180128.0] || equal(intersection(power_class(identity_relation),universal_class),universal_class)** -> .
% 299.72/300.39  180129[10:MRR:180118.1,168370.0] || subclass(universal_class,intersection(power_class(universal_class),universal_class))* -> .
% 299.72/300.39  180128[11:MRR:180117.1,168383.0] || subclass(universal_class,intersection(power_class(identity_relation),universal_class))* -> .
% 299.72/300.39  166443[5:Res:5196.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u))* member(identity_relation,u) -> .
% 299.72/300.39  22914[5:Rew:22457.0,22773.0] ||  -> equal(intersection(union(u,identity_relation),universal_class),symmetric_difference(complement(u),universal_class))**.
% 299.72/300.39  6563[5:SpR:5630.1,103.0] single_valued_class(u) ||  -> equal(second(not_subclass_element(identity_relation,identity_relation)),single_valued2(u))*.
% 299.72/300.39  6539[5:SpR:5629.1,103.0] function(u) ||  -> equal(second(not_subclass_element(identity_relation,identity_relation)),single_valued2(u))*.
% 299.72/300.39  5271[5:Rew:5180.0,3844.1] inductive(compose(u,v)) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  179998[7:Res:124837.1,125384.0] || equal(symmetric_difference(universal_class,singleton(identity_relation)),universal_class)** -> .
% 299.72/300.39  124837[5:SpL:119684.0,5191.0] || equal(symmetric_difference(universal_class,u),universal_class) -> member(identity_relation,complement(u))*.
% 299.72/300.39  124833[5:SpL:119684.0,5192.0] || subclass(universal_class,symmetric_difference(universal_class,u))* -> member(identity_relation,complement(u)).
% 299.72/300.39  12194[5:Res:7.1,6482.0] || equal(compose_class(u),domain_relation) -> equal(compose(u,identity_relation),identity_relation)**.
% 299.72/300.39  6420[5:Rew:6417.0,5399.1] || asymmetric(u,singleton(v)) -> equal(domain__dfg(intersection(u,inverse(u)),singleton(v),v),single_valued3(identity_relation))**.
% 299.72/300.39  6482[5:Res:5615.1,94.0] || subclass(domain_relation,compose_class(u))* -> equal(compose(u,identity_relation),identity_relation).
% 299.72/300.39  25601[5:SpR:22666.0,22618.0] ||  -> equal(union(intersection(u,universal_class),identity_relation),complement(symmetric_difference(u,universal_class)))**.
% 299.72/300.39  51750[5:MRR:51716.0,29542.1] || subclass(rest_relation,rest_of(u))* -> equal(complement(domain_of(u)),identity_relation).
% 299.72/300.39  41273[5:Res:5588.1,41200.1] || equal(complement(rest_of(u)),universal_class)** -> equal(cantor(u),identity_relation).
% 299.72/300.39  41235[5:Res:5220.1,41200.1] || equal(complement(rest_of(u)),universal_class)** -> equal(domain_of(u),identity_relation).
% 299.72/300.39  179749[7:Res:167393.0,119626.0] ||  -> member(identity_relation,union(u,identity_relation))* member(identity_relation,complement(u)).
% 299.72/300.39  179748[7:Res:167393.0,119659.0] || member(identity_relation,u) -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.39  167393[7:SpR:118447.0,167376.1] ||  -> member(identity_relation,symmetric_difference(universal_class,u))* member(identity_relation,union(u,identity_relation)).
% 299.72/300.39  5261[5:Rew:5180.0,3616.1] || subclass(universal_class,complement(omega))*+ -> equal(integer_of(singleton(u)),identity_relation)**.
% 299.72/300.39  179466[10:SoR:176876.0,72.1] one_to_one(image(element_relation,identity_relation)) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  559[0:SpR:39.0,101.1] || member(flip(cross_product(u,universal_class)),universal_class) -> member(ordered_pair(flip(cross_product(u,universal_class)),inverse(u)),domain_relation)*.
% 299.72/300.39  179409[9:SoR:176603.0,72.1] one_to_one(complement(inverse(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  179405[11:SoR:176538.0,72.1] one_to_one(image(element_relation,universal_class)) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  176876[10:Res:63.1,168373.0] function(image(element_relation,identity_relation)) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  176603[9:Res:63.1,168277.0] function(complement(inverse(identity_relation))) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  176538[11:Res:63.1,168386.0] function(image(element_relation,universal_class)) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  5597[5:Rew:5180.0,4984.1] || asymmetric(u,singleton(v)) -> equal(segment(intersection(u,inverse(u)),singleton(v),v),identity_relation)**.
% 299.72/300.39  179300[7:MRR:179297.1,47782.0] || equal(successor_relation,rest_relation)** -> .
% 299.72/300.39  2955[0:Res:7.1,65.1] || equal(compose(u,inverse(u)),identity_relation)**+ subclass(u,cross_product(universal_class,universal_class))* -> function(u).
% 299.72/300.39  28220[5:Res:27132.1,146.0] || subclass(domain_relation,complement(complement(rest_relation)))* -> equal(rest_of(identity_relation),identity_relation).
% 299.72/300.39  28273[5:Res:7.1,28220.0] || equal(complement(complement(rest_relation)),domain_relation)** -> equal(rest_of(identity_relation),identity_relation).
% 299.72/300.39  27424[5:Res:5201.1,22549.1] inductive(complement(compose(element_relation,universal_class))) || member(identity_relation,element_relation)* -> .
% 299.72/300.39  178630[14:Res:7.1,178034.0] || equal(intersection(u,v),omega)** -> member(identity_relation,v).
% 299.72/300.39  178730[14:Res:178680.1,29473.0] || equal(domain_of(u),omega) -> member(identity_relation,cantor(u))*.
% 299.72/300.39  178680[14:SpL:119978.0,178572.0] || equal(u,omega) -> member(identity_relation,u)*.
% 299.72/300.39  178572[14:Res:7.1,178033.0] || equal(intersection(u,v),omega)** -> member(identity_relation,u).
% 299.72/300.39  5749[5:Rew:5180.0,5339.1] ||  -> equal(cross_product(u,v),identity_relation) equal(restrict(regular(cross_product(u,v)),u,v),identity_relation)**.
% 299.72/300.39  178034[14:Res:178018.1,23.0] || subclass(omega,intersection(u,v))* -> member(identity_relation,v).
% 299.72/300.39  178033[14:Res:178018.1,22.0] || subclass(omega,intersection(u,v))* -> member(identity_relation,u).
% 299.72/300.39  178428[14:Res:7.1,178297.0] || equal(u,omega) equal(complement(u),omega)** -> .
% 299.72/300.39  178304[14:Res:167376.1,178202.1] || equal(complement(complement(u)),omega)** -> member(identity_relation,u).
% 299.72/300.39  178301[14:Res:5196.1,178202.1] || subclass(universal_class,u)* equal(complement(u),omega) -> .
% 299.72/300.39  178300[14:Res:119647.1,178202.1] || equal(u,universal_class) equal(complement(u),omega)** -> .
% 299.72/300.39  178297[14:Res:178018.1,178202.1] || subclass(omega,u)* equal(complement(u),omega) -> .
% 299.72/300.39  178251[14:Res:7.1,178059.0] || equal(u,omega) equal(complement(u),universal_class)** -> .
% 299.72/300.39  178302[14:Res:5201.1,178202.1] inductive(u) || equal(complement(u),omega)** -> .
% 299.72/300.39  178318[14:MRR:178282.0,5265.0] || equal(complement(unordered_pair(u,identity_relation)),omega)** -> .
% 299.72/300.39  178317[14:MRR:178281.0,5265.0] || equal(complement(unordered_pair(identity_relation,u)),omega)** -> .
% 299.72/300.39  178202[14:Res:7.1,178030.0] || equal(complement(u),omega) member(identity_relation,u)* -> .
% 299.72/300.39  178059[14:Res:178018.1,153534.1] || subclass(omega,u)* equal(complement(u),universal_class) -> .
% 299.72/300.39  178049[14:Res:178018.1,29473.0] || subclass(omega,domain_of(u)) -> member(identity_relation,cantor(u))*.
% 299.72/300.39  178226[14:Res:7.1,178207.0] || equal(power_class(identity_relation),omega)** -> .
% 299.72/300.39  178214[14:Res:7.1,178206.0] || equal(power_class(universal_class),omega)** -> .
% 299.72/300.39  178227[14:Res:52.1,178207.0] inductive(power_class(identity_relation)) ||  -> .
% 299.72/300.39  178207[14:MRR:178197.1,168383.0] || subclass(omega,power_class(identity_relation))* -> .
% 299.72/300.39  178215[14:Res:52.1,178206.0] inductive(power_class(universal_class)) ||  -> .
% 299.72/300.39  178206[14:MRR:178196.1,168370.0] || subclass(omega,power_class(universal_class))* -> .
% 299.72/300.39  178030[14:Res:178018.1,25.1] || subclass(omega,complement(u))* member(identity_relation,u) -> .
% 299.72/300.39  178114[14:Res:7.1,178064.0] || equal(cross_product(u,v),omega)** -> .
% 299.72/300.39  178116[14:SoR:178113.0,72.1] one_to_one(omega) ||  -> .
% 299.72/300.39  178113[14:Res:63.1,178064.0] function(omega) ||  -> .
% 299.72/300.39  178064[14:MRR:178036.1,47782.0] || subclass(omega,cross_product(u,v))* -> .
% 299.72/300.39  178107[14:Res:7.1,178062.0] || equal(complement(singleton(identity_relation)),omega)** -> .
% 299.72/300.39  178062[14:Res:178018.1,125384.0] || subclass(omega,complement(singleton(identity_relation)))* -> .
% 299.72/300.39  3385[4:Rew:3360.0,728.0] || member(u,universal_class) subclass(u,sum_class(u))* -> equal(sum_class(u),u).
% 299.72/300.39  178057[14:Res:178018.1,5188.0] || subclass(omega,identity_relation)* -> .
% 299.72/300.39  29470[0:MRR:3666.1,29469.1] || member(u,universal_class) member(v,u) -> member(ordered_pair(v,u),element_relation)*.
% 299.72/300.39  178018[14:MRR:178013.1,5185.0] || subclass(omega,u) -> member(identity_relation,u)*.
% 299.72/300.39  178017[14:MRR:178010.0,5185.0] ||  -> member(identity_relation,omega)*.
% 299.72/300.39  178005[14:Spt:123661.1] ||  -> equal(regular(omega),identity_relation)**.
% 299.72/300.39  5286[5:Rew:5180.0,3848.1] inductive(composition_function) ||  -> member(identity_relation,cross_product(universal_class,cross_product(universal_class,universal_class)))*.
% 299.72/300.39  5287[5:Rew:5180.0,3847.1] inductive(application_function) ||  -> member(identity_relation,cross_product(universal_class,cross_product(universal_class,universal_class)))*.
% 299.72/300.39  3728[0:Res:3678.1,1012.0] || equal(sum_class(u),u) -> subclass(sum_class(u),u)*.
% 299.72/300.39  5198[5:Rew:5180.0,602.1] inductive(restrict(u,v,w)) ||  -> member(identity_relation,u)*.
% 299.72/300.39  114178[5:Obv:114149.0] ||  -> equal(intersection(u,singleton(v)),identity_relation)** member(v,u).
% 299.72/300.39  113956[5:Obv:113928.0] ||  -> equal(intersection(singleton(u),v),identity_relation)** member(u,v).
% 299.72/300.39  8540[5:Res:8453.1,118.0] || equal(cross_product(u,u),identity_relation)**+ -> connected(v,u)*.
% 299.72/300.39  6424[5:SpR:5593.0,5593.0] ||  -> equal(range__dfg(identity_relation,u,v),range__dfg(identity_relation,w,x))*.
% 299.72/300.39  122912[5:MRR:5374.2,47786.0] function(image(successor_relation,cross_product(universal_class,universal_class))) || member(identity_relation,cross_product(universal_class,universal_class))* -> .
% 299.72/300.39  3678[0:Res:7.1,3646.0] || equal(sum_class(u),u) -> section(element_relation,u,universal_class)*.
% 299.72/300.39  118454[5:Rew:118446.0,22775.1] ||  -> equal(u,identity_relation) equal(symmetric_difference(u,regular(u)),union(u,regular(u)))**.
% 299.72/300.39  146309[5:Rew:118446.0,146243.1] || subclass(universal_class,sum_class(u))*+ -> subclass(v,sum_class(u))*.
% 299.72/300.39  146432[5:Res:7.1,146309.0] || equal(sum_class(u),universal_class) -> subclass(v,sum_class(u))*.
% 299.72/300.39  165208[5:Res:5201.1,120077.0] inductive(symmetric_difference(u,u)) || member(identity_relation,u)* -> .
% 299.72/300.39  5192[5:Rew:5180.0,3903.1] || subclass(universal_class,intersection(u,v))* -> member(identity_relation,u).
% 299.72/300.39  5405[5:Rew:5180.0,2615.2] || member(u,regular(v))* member(u,v) -> equal(v,identity_relation).
% 299.72/300.39  5191[5:Rew:5180.0,4037.1] || equal(intersection(u,v),universal_class)** -> member(identity_relation,u).
% 299.72/300.39  7230[5:Res:7.1,6477.0] || equal(cross_product(u,v),domain_relation)** -> member(identity_relation,u).
% 299.72/300.39  6477[5:Res:5615.1,15.0] || subclass(domain_relation,cross_product(u,v))* -> member(identity_relation,u).
% 299.72/300.39  8479[5:Res:8453.1,2957.1] single_valued_class(u) || equal(identity_relation,u) -> function(u)*.
% 299.72/300.39  5253[5:Rew:5180.0,2149.0] ||  -> equal(singleton(u),identity_relation) equal(regular(singleton(u)),u)**.
% 299.72/300.39  5228[5:Rew:5180.0,3904.1] || subclass(universal_class,intersection(u,v))* -> member(identity_relation,v).
% 299.72/300.39  5227[5:Rew:5180.0,4058.1] || equal(intersection(u,v),universal_class)** -> member(identity_relation,v).
% 299.72/300.39  7268[5:Res:7.1,6478.0] || equal(cross_product(u,v),domain_relation)** -> member(identity_relation,v).
% 299.72/300.39  6478[5:Res:5615.1,16.0] || subclass(domain_relation,cross_product(u,v))* -> member(identity_relation,v).
% 299.72/300.39  120164[5:Res:120014.0,5229.1] inductive(symmetric_difference(u,u)) ||  -> member(identity_relation,complement(u))*.
% 299.72/300.39  8736[5:Res:8481.1,1012.0] || equal(sum_class(u),identity_relation) -> subclass(sum_class(u),u)*.
% 299.72/300.39  5375[5:Rew:5180.0,5133.1] || subclass(complement(u),u)* -> equal(complement(u),identity_relation).
% 299.72/300.39  765[0:Res:55.1,2.0] || member(u,universal_class) subclass(universal_class,v) -> member(sum_class(u),v)*.
% 299.72/300.39  29487[5:MRR:27428.0,29469.1] || member(u,element_relation) -> member(u,compose(element_relation,universal_class))*.
% 299.72/300.39  5214[5:Rew:5180.0,768.1] || subclass(u,v) -> equal(u,identity_relation) member(regular(u),v)*.
% 299.72/300.39  5295[5:Rew:5180.0,476.0] ||  -> equal(intersection(u,v),identity_relation) member(regular(intersection(u,v)),v)*.
% 299.72/300.39  5294[5:Rew:5180.0,477.0] ||  -> equal(intersection(u,v),identity_relation) member(regular(intersection(u,v)),u)*.
% 299.72/300.39  5615[5:Rew:5180.0,5072.1] || subclass(domain_relation,u) -> member(ordered_pair(identity_relation,identity_relation),u)*.
% 299.72/300.39  5715[5:Rew:5180.0,5221.1] inductive(unordered_pair(u,v)) ||  -> equal(identity_relation,v)* equal(identity_relation,u)*.
% 299.72/300.39  165211[5:Res:5201.1,119659.0] inductive(symmetric_difference(universal_class,u)) || member(identity_relation,u)* -> .
% 299.72/300.39  5193[5:Rew:5180.0,3975.1] || equal(complement(complement(u)),universal_class)** -> member(identity_relation,u).
% 299.72/300.39  5195[5:Rew:5180.0,3902.1] || subclass(universal_class,complement(u))* member(identity_relation,u) -> .
% 299.72/300.39  5288[5:Rew:5180.0,769.1] || subclass(omega,u) -> equal(integer_of(v),identity_relation) member(v,u)*.
% 299.72/300.39  123734[5:Res:119596.0,5229.1] inductive(symmetric_difference(universal_class,u)) ||  -> member(identity_relation,complement(u))*.
% 299.72/300.39  8481[5:Res:8453.1,3646.0] || equal(sum_class(u),identity_relation) -> section(element_relation,u,universal_class)*.
% 299.72/300.39  5593[5:Rew:5180.0,4936.0] ||  -> equal(second(not_subclass_element(identity_relation,identity_relation)),range__dfg(identity_relation,u,v))*.
% 299.72/300.39  164607[5:Rew:29757.0,146239.1] || subclass(universal_class,u) -> equal(symmetric_difference(u,universal_class),identity_relation)**.
% 299.72/300.39  716[0:Res:19.0,8.0] || subclass(cross_product(universal_class,universal_class),element_relation)* -> equal(cross_product(universal_class,universal_class),element_relation).
% 299.72/300.39  51732[5:MRR:51697.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(identity_relation))*+ -> .
% 299.72/300.39  27154[5:Res:7.1,27131.0] || equal(complement(unordered_pair(ordered_pair(identity_relation,identity_relation),u)),domain_relation)** -> .
% 299.72/300.39  27131[5:MRR:27103.0,641.0] || subclass(domain_relation,complement(unordered_pair(ordered_pair(identity_relation,identity_relation),u)))* -> .
% 299.72/300.39  27151[5:Res:7.1,27130.0] || equal(complement(unordered_pair(u,ordered_pair(identity_relation,identity_relation))),domain_relation)** -> .
% 299.72/300.39  27130[5:MRR:27102.0,641.0] || subclass(domain_relation,complement(unordered_pair(u,ordered_pair(identity_relation,identity_relation))))* -> .
% 299.72/300.39  5273[5:Rew:5180.0,3842.1] inductive(rest_of(u)) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  5229[5:Rew:5180.0,767.2] inductive(u) || subclass(u,v)*+ -> member(identity_relation,v)*.
% 299.72/300.39  5272[5:Rew:5180.0,3843.1] inductive(compose_class(u)) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  5233[5:Rew:5180.0,475.1] || member(regular(complement(u)),u)* -> equal(complement(u),identity_relation).
% 299.72/300.39  40906[5:Res:5201.1,40810.0] inductive(rest_of(identity_relation)) || subclass(universal_class,complement(element_relation))* -> .
% 299.72/300.39  3646[0:MRR:3639.0,5.0] || subclass(sum_class(u),u)*+ -> section(element_relation,u,universal_class)*.
% 299.72/300.39  40839[5:Res:5201.1,40751.0] inductive(cantor(identity_relation)) || subclass(universal_class,complement(element_relation))* -> .
% 299.72/300.39  40750[5:Res:5201.1,40700.0] inductive(domain_of(identity_relation)) || subclass(universal_class,complement(element_relation))* -> .
% 299.72/300.39  1012[0:SpR:54.0,133.1] || section(element_relation,u,universal_class)*+ -> subclass(sum_class(u),u)*.
% 299.72/300.39  5630[5:MRR:733.1,5184.0] single_valued_class(u) ||  -> equal(compose(u,inverse(u)),identity_relation)**.
% 299.72/300.39  6523[5:MRR:6511.1,5265.0] || equal(domain_relation,rest_relation) -> member(ordered_pair(identity_relation,identity_relation),rest_relation)*.
% 299.72/300.39  5629[5:MRR:732.1,5184.0] function(u) ||  -> equal(compose(u,inverse(u)),identity_relation)**.
% 299.72/300.39  316[0:Res:7.1,62.0] || equal(compose(u,inverse(u)),identity_relation)** -> single_valued_class(u).
% 299.72/300.39  5231[5:Rew:5180.0,473.0] ||  -> equal(integer_of(not_subclass_element(u,omega)),identity_relation)** subclass(u,omega).
% 299.72/300.39  5594[5:Rew:5180.0,4978.1] || subclass(u,v) -> section(identity_relation,u,v)*.
% 299.72/300.39  5199[5:Rew:5180.0,461.1] inductive(intersection(u,v)) ||  -> member(identity_relation,u)*.
% 299.72/300.39  113722[5:Obv:113681.1] || subclass(u,complement(u))* -> equal(u,identity_relation).
% 299.72/300.39  5225[5:Rew:5180.0,470.0] || equal(identity_relation,u) -> equal(integer_of(u),u)**.
% 299.72/300.39  5252[5:Rew:5180.0,2961.0] ||  -> equal(singleton(u),identity_relation) member(u,singleton(u))*.
% 299.72/300.39  5212[5:Rew:5180.0,465.0] ||  -> equal(integer_of(u),identity_relation)** equal(integer_of(u),u)**.
% 299.72/300.39  3679[4:Res:3364.1,3646.0] || member(u,universal_class) -> section(element_relation,u,universal_class)*.
% 299.72/300.39  166136[5:MRR:166129.1,119647.1] || equal(sum_class(u),universal_class) -> inductive(sum_class(u))*.
% 299.72/300.39  5230[5:Rew:5180.0,472.1] inductive(intersection(u,v)) ||  -> member(identity_relation,v)*.
% 299.72/300.39  125552[7:Res:125513.0,2.0] || subclass(singleton(identity_relation),u)* -> member(identity_relation,u).
% 299.72/300.39  125624[7:Res:7.1,125552.0] || equal(u,singleton(identity_relation)) -> member(identity_relation,u)*.
% 299.72/300.39  750[0:SpR:123.0,54.0] ||  -> equal(segment(element_relation,universal_class,u),sum_class(singleton(u)))**.
% 299.72/300.39  47706[5:Res:47673.0,5229.1] inductive(complement(complement(u))) ||  -> member(identity_relation,u)*.
% 299.72/300.39  5200[5:Rew:5180.0,462.1] inductive(complement(u)) || member(identity_relation,u)* -> .
% 299.72/300.39  5211[5:Rew:5180.0,4732.0] ||  -> equal(integer_of(u),identity_relation) subclass(singleton(u),omega)*.
% 299.72/300.39  165324[5:Res:5220.1,153534.1] || equal(complement(u),universal_class)** -> equal(u,identity_relation).
% 299.72/300.39  6571[5:Rew:6417.0,6564.1] single_valued_class(u) ||  -> equal(single_valued3(identity_relation),single_valued1(u))*.
% 299.72/300.39  6548[5:Rew:6417.0,6540.1] function(u) ||  -> equal(single_valued3(identity_relation),single_valued1(u))*.
% 299.72/300.39  122365[5:Rew:119684.0,47694.0] ||  -> subclass(complement(union(u,identity_relation)),symmetric_difference(universal_class,u))*.
% 299.72/300.39  118447[5:Rew:118446.0,25496.0] ||  -> equal(complement(symmetric_difference(universal_class,u)),union(u,identity_relation))**.
% 299.72/300.39  22542[5:Rew:22446.0,9018.0] ||  -> subclass(symmetric_difference(complement(u),universal_class),union(u,identity_relation))*.
% 299.72/300.39  32903[5:Res:5201.1,29473.0] inductive(domain_of(u)) ||  -> member(identity_relation,cantor(u))*.
% 299.72/300.39  21[0:Inp] || member(u,v) member(ordered_pair(u,v),cross_product(universal_class,universal_class))* -> member(ordered_pair(u,v),element_relation).
% 299.72/300.39  3582[4:MRR:3576.1,53.0] inductive(sum_class(omega)) ||  -> equal(sum_class(omega),omega)**.
% 299.72/300.39  27145[5:Res:7.1,27129.0] || equal(complement(singleton(ordered_pair(identity_relation,identity_relation))),domain_relation)** -> .
% 299.72/300.39  27129[5:MRR:27105.0,641.0] || subclass(domain_relation,complement(singleton(ordered_pair(identity_relation,identity_relation))))* -> .
% 299.72/300.39  5243[5:Rew:5180.0,481.2] || member(u,universal_class) -> member(u,domain_of(v)) equal(restrict(v,singleton(u),universal_class),identity_relation)**.
% 299.72/300.39  5278[5:Rew:5180.0,3837.1] inductive(union_of_range_map) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  5274[5:Rew:5180.0,3841.1] inductive(element_relation) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  8648[5:Res:8635.0,5229.1] inductive(subset_relation) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  76959[5:Res:145.0,5229.1] inductive(rest_relation) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  65[0:Inp] || subclass(u,cross_product(universal_class,universal_class)) subclass(compose(u,inverse(u)),identity_relation)* -> function(u).
% 299.72/300.39  5275[5:Rew:5180.0,3840.1] inductive(successor_relation) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  5276[5:Rew:5180.0,3839.1] inductive(domain_relation) ||  -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  22548[5:Rew:22446.0,6875.0] ||  -> equal(intersection(complement(compose(element_relation,universal_class)),element_relation),identity_relation)**.
% 299.72/300.39  6484[5:Res:5615.1,146.0] || subclass(domain_relation,rest_relation)* -> equal(rest_of(identity_relation),identity_relation).
% 299.72/300.39  6497[5:Res:7.1,6484.0] || equal(domain_relation,rest_relation) -> equal(rest_of(identity_relation),identity_relation)**.
% 299.72/300.39  8453[5:Res:7.1,8442.0] || equal(identity_relation,u) -> subclass(u,v)*.
% 299.72/300.39  8442[5:Res:766.2,5188.0] || subclass(u,identity_relation)*+ -> subclass(u,v)*.
% 299.72/300.39  125714[7:MRR:125688.1,47782.0] || equal(cross_product(u,v),singleton(identity_relation))** -> .
% 299.72/300.39  5246[5:Rew:5180.0,479.0] ||  -> equal(second(not_subclass_element(restrict(u,singleton(v),w),identity_relation)),range__dfg(u,v,w))**.
% 299.72/300.39  167376[7:Res:162506.1,125552.0] ||  -> member(identity_relation,u) member(identity_relation,complement(u))*.
% 299.72/300.39  119647[5:SpL:118446.0,5227.0] || equal(u,universal_class) -> member(identity_relation,u)*.
% 299.72/300.39  5196[5:Rew:5180.0,3879.1] || subclass(universal_class,u) -> member(identity_relation,u)*.
% 299.72/300.39  5245[5:Rew:5180.0,478.0] ||  -> equal(first(not_subclass_element(restrict(u,v,singleton(w)),identity_relation)),domain__dfg(u,v,w))**.
% 299.72/300.39  123649[5:Res:5213.0,29469.0] ||  -> equal(integer_of(u),identity_relation) member(u,universal_class)*.
% 299.72/300.39  29542[5:Res:5220.1,29469.0] ||  -> equal(u,identity_relation) member(regular(u),universal_class)*.
% 299.72/300.39  5694[5:Rew:5180.0,5218.0] || subclass(u,identity_relation)* -> equal(u,identity_relation).
% 299.72/300.39  5693[5:Rew:5180.0,5217.0] || equal(identity_relation,u)* -> equal(u,identity_relation).
% 299.72/300.39  122360[5:Rew:122359.0,118453.0] ||  -> equal(symmetric_difference(identity_relation,u),complement(complement(u)))**.
% 299.72/300.39  122359[5:Rew:118446.0,22600.0] ||  -> equal(union(identity_relation,u),complement(complement(u)))**.
% 299.72/300.39  118455[5:Rew:118446.0,22617.0] ||  -> equal(symmetric_difference(u,identity_relation),union(u,identity_relation))**.
% 299.72/300.39  5249[5:Rew:5180.0,483.0] || equal(restrict(intersection(u,inverse(u)),v,v),identity_relation)** -> asymmetric(u,v).
% 299.72/300.39  6419[5:Rew:6417.0,5592.0] ||  -> equal(domain__dfg(identity_relation,u,v),single_valued3(identity_relation))**.
% 299.72/300.39  5224[5:Rew:5180.0,2148.1] inductive(singleton(u)) ||  -> equal(identity_relation,u)*.
% 299.72/300.39  16080[5:SSi:16077.0,70.0] ||  -> equal(singleton(u),identity_relation) member(u,universal_class)*.
% 299.72/300.39  5248[5:Rew:5180.0,484.1] || asymmetric(u,v) -> equal(restrict(intersection(u,inverse(u)),v,v),identity_relation)**.
% 299.72/300.39  5281[5:Rew:5180.0,3973.0] || equal(complement(unordered_pair(identity_relation,u)),universal_class)** -> .
% 299.72/300.39  5244[5:Rew:5180.0,482.1] || member(u,domain_of(v)) equal(restrict(v,singleton(u),universal_class),identity_relation)** -> .
% 299.72/300.39  5280[5:Rew:5180.0,3972.0] || equal(complement(unordered_pair(u,identity_relation)),universal_class)** -> .
% 299.72/300.39  174620[13:Res:162500.1,173146.0] || equal(complement(compose(element_relation,universal_class)),universal_class)** -> .
% 299.72/300.39  174619[13:Res:7.1,173146.0] || equal(complement(compose(element_relation,universal_class)),element_relation)** -> .
% 299.72/300.39  174618[13:Res:153612.1,173146.0] || equal(complement(element_relation),universal_class)** -> .
% 299.72/300.39  173146[13:MRR:166872.1,173144.0] || subclass(element_relation,complement(compose(element_relation,universal_class)))* -> .
% 299.72/300.39  8578[5:MRR:8571.1,5188.0] inductive(cantor(restrict(element_relation,universal_class,identity_relation))) ||  -> .
% 299.72/300.39  103[0:Inp] ||  -> equal(second(not_subclass_element(compose(u,inverse(u)),identity_relation)),single_valued2(u))**.
% 299.72/300.39  169[0:MRR:162.0,145.0] || subclass(compose(rest_relation,inverse(rest_relation)),identity_relation)* -> .
% 299.72/300.39  199[0:Res:7.1,169.0] || equal(compose(rest_relation,inverse(rest_relation)),identity_relation)** -> .
% 299.72/300.39  6417[5:SpR:5592.0,104.0] ||  -> equal(first(not_subclass_element(identity_relation,identity_relation)),single_valued3(identity_relation))**.
% 299.72/300.39  102[0:Inp] ||  -> equal(first(not_subclass_element(compose(u,inverse(u)),identity_relation)),single_valued1(u))**.
% 299.72/300.39  5297[5:Rew:5180.0,4914.0] ||  -> equal(restrict(identity_relation,u,v),identity_relation)**.
% 299.72/300.39  5310[5:Rew:5180.0,4990.0] ||  -> equal(segment(identity_relation,u,v),identity_relation)**.
% 299.72/300.39  47782[5:Res:8453.1,47765.0] || equal(ordered_pair(u,v),identity_relation)** -> .
% 299.72/300.39  47765[5:Res:783.1,5188.0] || subclass(ordered_pair(u,v),identity_relation)* -> .
% 299.72/300.39  3823[3:Res:3798.1,454.0] || equal(complement(complement(element_relation)),universal_class)** -> .
% 299.72/300.39  28237[5:MRR:28221.1,5188.0] || subclass(domain_relation,complement(complement(element_relation)))* -> .
% 299.72/300.39  28271[5:Res:7.1,28237.0] || equal(complement(complement(element_relation)),domain_relation)** -> .
% 299.72/300.39  125424[7:Res:5196.1,125384.0] || subclass(universal_class,complement(singleton(identity_relation)))* -> .
% 299.72/300.39  20[0:Inp] || member(ordered_pair(u,v),element_relation)* -> member(u,v).
% 299.72/300.39  5256[5:Rew:5180.0,3971.0] || equal(complement(singleton(identity_relation)),universal_class)** -> .
% 299.72/300.39  5700[5:Rew:5180.0,5219.1] ||  -> equal(u,identity_relation) equal(intersection(u,regular(u)),identity_relation)**.
% 299.72/300.39  125384[7:MRR:124324.1,125378.0] || member(identity_relation,complement(singleton(identity_relation)))* -> .
% 299.72/300.39  122335[6:Spt:122326.0,5706.0] ||  -> equal(integer_of(regular(complement(omega))),identity_relation)**.
% 299.72/300.39  168527[12:MRR:168490.1,23792.0] || equal(cross_product(universal_class,universal_class),identity_relation)** -> .
% 299.72/300.39  62[0:Inp] || subclass(compose(u,inverse(u)),identity_relation)* -> single_valued_class(u).
% 299.72/300.39  5296[5:Rew:5180.0,4900.0] ||  -> equal(intersection(u,identity_relation),identity_relation)**.
% 299.72/300.39  5304[5:Rew:5180.0,5027.0] ||  -> equal(intersection(identity_relation,u),identity_relation)**.
% 299.72/300.39  168371[10:MRR:7008.1,168370.0] || subclass(universal_class,power_class(universal_class))* -> .
% 299.72/300.39  3364[4:Rew:3360.0,136.0] || member(u,universal_class) -> subclass(sum_class(u),u)*.
% 299.72/300.39  55[0:Inp] || member(u,universal_class) -> member(sum_class(u),universal_class)*.
% 299.72/300.39  51770[5:Res:12.0,51764.1] || equal(rest_of(identity_relation),rest_relation)** -> .
% 299.72/300.39  168384[11:MRR:22484.1,168383.0] || subclass(universal_class,power_class(identity_relation))* -> .
% 299.72/300.39  54[0:Inp] ||  -> equal(domain_of(restrict(element_relation,universal_class,u)),sum_class(u))**.
% 299.72/300.39  168390[11:Rew:22481.0,168389.0] || equal(power_class(identity_relation),universal_class)** -> .
% 299.72/300.39  125638[7:Res:125622.1,5188.0] || equal(singleton(identity_relation),identity_relation)** -> .
% 299.72/300.39  5220[5:Rew:5180.0,459.0] ||  -> equal(u,identity_relation) member(regular(u),u)*.
% 299.72/300.39  5213[5:Rew:5180.0,455.1] ||  -> member(u,omega)* equal(integer_of(u),identity_relation).
% 299.72/300.39  5303[5:Rew:5180.0,5058.0] ||  -> member(ordered_pair(identity_relation,identity_relation),domain_relation)*.
% 299.72/300.39  5201[5:Rew:5180.0,451.1] inductive(u) ||  -> member(identity_relation,u)*.
% 299.72/300.39  7312[5:MRR:7310.0,5305.0] ||  -> section(identity_relation,u,u)*.
% 299.72/300.39  5188[5:Rew:5180.0,454.0] || member(u,identity_relation)* -> .
% 299.72/300.39  3676[0:Res:5.0,3646.0] ||  -> section(element_relation,universal_class,universal_class)*.
% 299.72/300.39  125513[7:Res:124279.0,125401.0] ||  -> member(identity_relation,singleton(identity_relation))*.
% 299.72/300.39  19[0:Inp] ||  -> subclass(element_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  23792[5:Res:8453.1,23759.0] || equal(identity_relation,rest_relation)** -> .
% 299.72/300.39  42101[5:Res:8453.1,42099.0] || equal(composition_function,identity_relation)** -> .
% 299.72/300.39  5267[5:Rew:5180.0,3886.0] ||  -> section(element_relation,identity_relation,universal_class)*.
% 299.72/300.39  22454[5:Rew:22446.0,6834.0] ||  -> equal(complement(identity_relation),universal_class)**.
% 299.72/300.39  6791[5:Res:5.0,5375.0] ||  -> equal(complement(universal_class),identity_relation)**.
% 299.72/300.39  5186[5:Rew:5180.0,452.0] ||  -> equal(integer_of(identity_relation),identity_relation)**.
% 299.72/300.39  5300[5:Rew:5180.0,5059.0] ||  -> equal(cantor(identity_relation),identity_relation)**.
% 299.72/300.39  122334[6:Spt:122326.0,5706.1,7314.0] || equal(complement(omega),identity_relation)** -> .
% 299.72/300.39  5266[5:Rew:5180.0,3871.0] ||  -> equal(sum_class(identity_relation),identity_relation)**.
% 299.72/300.39  5299[5:Rew:5180.0,4959.0] ||  -> equal(domain_of(identity_relation),identity_relation)**.
% 299.72/300.39  42099[5:MRR:42095.0,99.0] || subclass(composition_function,identity_relation)* -> .
% 299.72/300.39  30472[5:Res:5220.1,30435.0] ||  -> equal(regular(universal_class),identity_relation)**.
% 299.72/300.39  173144[13:Spt:171962.0,14783.1,168616.0] || equal(identity_relation,element_relation)** -> .
% 299.72/300.39  23759[5:Res:12.0,22415.0] || subclass(rest_relation,identity_relation)* -> .
% 299.72/300.39  5239[5:Rew:5180.0,793.0] || subclass(universal_class,identity_relation)* -> .
% 299.72/300.39  5240[5:Rew:5180.0,796.0] || equal(identity_relation,universal_class)** -> .
% 299.72/300.39  6471[5:Res:5615.1,5188.0] || subclass(domain_relation,identity_relation)* -> .
% 299.72/300.39  5185[5:Rew:5180.0,450.0] || equal(identity_relation,omega)** -> .
% 299.72/300.39  6491[5:Res:7.1,6471.0] || equal(domain_relation,identity_relation)** -> .
% 299.72/300.39  5305[5:Rew:5180.0,5113.0] ||  -> asymmetric(identity_relation,u)*.
% 299.72/300.39  5184[5:Rew:5180.0,449.0] ||  -> subclass(identity_relation,u)*.
% 299.72/300.39  5180[5:Spt:4905.0] ||  -> equal(singleton_relation,identity_relation)**.
% 299.72/300.39  164469[8:Spt:164464.0,24056.1,126849.0] || equal(identity_relation,successor_relation)** -> .
% 299.72/300.39  5182[5:Rew:5180.0,446.0] ||  -> equal(limit_ordinals,identity_relation)**.
% 299.72/300.39  5183[5:Rew:5180.0,448.0] ||  -> equal(null_class,identity_relation)**.
% 299.72/300.39  5265[5:Rew:5180.0,3869.0] ||  -> member(identity_relation,universal_class)*.
% 299.72/300.39  168477[12:Spt:5412.1] ||  -> equal(union_of_range_map,identity_relation)**.
% 299.72/300.39  168377[10:Rew:6805.0,168376.0] || equal(power_class(universal_class),universal_class)** -> .
% 299.72/300.39  168295[9:Res:5201.1,168280.0] inductive(inverse(identity_relation)) ||  -> .
% 299.72/300.39  168282[9:MRR:124274.1,168280.0] inductive(symmetrization_of(identity_relation)) ||  -> .
% 299.72/300.39  165344[5:MRR:165335.1,42101.0] || equal(complement(cross_product(universal_class,cross_product(universal_class,universal_class))),universal_class)** -> .
% 299.72/300.39  715[0:Res:45.0,8.0] || subclass(cross_product(universal_class,universal_class),successor_relation)* -> equal(cross_product(universal_class,universal_class),successor_relation).
% 299.72/300.39  166139[5:MRR:166132.1,119647.1] || equal(inverse(u),universal_class) -> inductive(inverse(u))*.
% 299.72/300.39  167541[5:SoR:124966.0,166138.1] || equal(complement(omega),universal_class)** -> .
% 299.72/300.39  166138[5:MRR:166131.1,119647.1] || equal(complement(u),universal_class) -> inductive(complement(u))*.
% 299.72/300.39  166137[5:MRR:166130.1,119647.1] || equal(power_class(u),universal_class) -> inductive(power_class(u))*.
% 299.72/300.39  166122[5:Res:153612.1,169.0] || equal(complement(compose(rest_relation,inverse(rest_relation))),universal_class)** -> .
% 299.72/300.39  47[0:Inp] || equal(successor(u),v) member(ordered_pair(u,v),cross_product(universal_class,universal_class))* -> member(ordered_pair(u,v),successor_relation).
% 299.72/300.39  46[0:Inp] || member(ordered_pair(u,v),successor_relation)* -> equal(successor(u),v).
% 299.72/300.39  165619[7:Res:162500.1,125383.0] || equal(complement(complement(successor_relation)),universal_class)** -> .
% 299.72/300.39  125382[7:MRR:28275.1,125378.0] || equal(complement(complement(successor_relation)),domain_relation)** -> .
% 299.72/300.39  125383[7:MRR:28222.1,125378.0] || subclass(domain_relation,complement(complement(successor_relation)))* -> .
% 299.72/300.39  165148[5:Res:153612.1,42099.0] || equal(complement(composition_function),universal_class)** -> .
% 299.72/300.39  45[0:Inp] ||  -> subclass(successor_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  163531[5:Rew:56.0,163417.0] || equal(power_class(u),universal_class) -> subclass(v,power_class(u))*.
% 299.72/300.39  162500[5:Res:122671.0,153534.1] || equal(complement(u),universal_class) -> subclass(v,complement(u))*.
% 299.72/300.39  4107[0:Res:17.2,38.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x) -> member(ordered_pair(ordered_pair(v,w),u),flip(x))*.
% 299.72/300.39  4116[0:Res:17.2,35.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x) -> member(ordered_pair(ordered_pair(v,w),u),rotate(x))*.
% 299.72/300.39  2089[0:Res:3.1,18.0] ||  -> subclass(cross_product(u,v),w) equal(ordered_pair(first(not_subclass_element(cross_product(u,v),w)),second(not_subclass_element(cross_product(u,v),w))),not_subclass_element(cross_product(u,v),w))**.
% 299.72/300.39  162506[0:Obv:162452.0] ||  -> member(u,v) subclass(singleton(u),complement(v))*.
% 299.72/300.39  122671[0:MRR:29030.0,5.0] ||  -> member(not_subclass_element(u,complement(v)),v)* subclass(u,complement(v)).
% 299.72/300.39  2147[0:Res:3.1,1054.0] ||  -> subclass(singleton(u),v) equal(not_subclass_element(singleton(u),v),u)**.
% 299.72/300.39  3757[0:Res:144.2,2.0] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),w)*+ subclass(rest_of(v),x)* -> member(ordered_pair(u,w),x)*.
% 299.72/300.39  160697[5:SpR:120682.0,8346.0] ||  -> subclass(cantor(cross_product(u,singleton(v))),segment(universal_class,u,v))*.
% 299.72/300.39  2612[0:Res:24.2,4.0] || member(not_subclass_element(u,intersection(v,w)),w)*+ member(not_subclass_element(u,intersection(v,w)),v)* -> subclass(u,intersection(v,w)).
% 299.72/300.39  154001[5:Res:153612.1,122507.0] || equal(complement(cross_product(u,u)),universal_class)**+ -> connected(v,u)*.
% 299.72/300.39  3654[0:Res:98.1,2.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,w) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),w)*.
% 299.72/300.39  45832[0:Obv:45806.1] || member(u,cantor(v)) -> subclass(singleton(u),domain_of(v))*.
% 299.72/300.39  123139[5:Rew:122359.0,890.2,122359.0,890.1] || connected(u,v) subclass(complement(complement(symmetrization_of(u))),cross_product(v,v))* -> equal(complement(complement(symmetrization_of(u))),cross_product(v,v)).
% 299.72/300.39  3643[0:Res:63.1,134.1] function(domain_of(restrict(u,v,cross_product(universal_class,universal_class)))) || subclass(cross_product(universal_class,universal_class),v) -> section(u,cross_product(universal_class,universal_class),v)*.
% 299.72/300.39  120682[0:SpR:119609.0,123.0] ||  -> equal(domain_of(cross_product(u,singleton(v))),segment(universal_class,u,v))**.
% 299.72/300.39  970[0:SpL:29.0,928.0] || equal(restrict(u,v,w),universal_class)** -> member(omega,u).
% 299.72/300.39  794[0:Res:761.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(omega,u).
% 299.72/300.39  1014[0:Res:133.1,8.0] || section(u,v,w) subclass(v,domain_of(restrict(u,w,v)))* -> equal(domain_of(restrict(u,w,v)),v).
% 299.72/300.39  1044[0:Res:3.1,9.0] ||  -> subclass(unordered_pair(u,v),w) equal(not_subclass_element(unordered_pair(u,v),w),v)** equal(not_subclass_element(unordered_pair(u,v),w),u)**.
% 299.72/300.39  3834[0:Res:7.1,120.0] || equal(compose(restrict(u,v,v),restrict(u,v,v)),restrict(u,v,v))** -> transitive(u,v).
% 299.72/300.39  3640[0:SpL:123.0,134.1] || subclass(singleton(u),v) subclass(segment(w,v,u),singleton(u))* -> section(w,singleton(u),v).
% 299.72/300.39  938[0:SpR:29.0,160.0] ||  -> equal(intersection(complement(restrict(u,v,w)),union(u,cross_product(v,w))),symmetric_difference(u,cross_product(v,w)))**.
% 299.72/300.39  939[0:SpR:30.0,160.0] ||  -> equal(intersection(complement(restrict(u,v,w)),union(cross_product(v,w),u)),symmetric_difference(cross_product(v,w),u))**.
% 299.72/300.39  153853[5:Res:153612.1,2957.1] single_valued_class(u) || equal(complement(u),universal_class)** -> function(u).
% 299.72/300.39  153619[5:Res:334.1,153534.1] || member(u,universal_class) equal(complement(singleton(u)),universal_class)** -> .
% 299.72/300.39  2603[0:SpR:29.0,24.2] || member(u,cross_product(v,w)) member(u,x) -> member(u,restrict(x,v,w))*.
% 299.72/300.39  153503[0:Res:761.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u))* member(omega,u) -> .
% 299.72/300.39  3644[0:Res:7.1,134.1] || equal(domain_of(restrict(u,v,w)),w)** subclass(w,v) -> section(u,w,v).
% 299.72/300.39  1043[0:SpL:14.0,9.0] || member(u,ordered_pair(v,w))* -> equal(u,unordered_pair(v,singleton(w))) equal(u,singleton(v)).
% 299.72/300.39  689[0:SpR:27.0,26.2] || member(u,universal_class) -> member(u,intersection(complement(v),complement(w)))* member(u,union(v,w)).
% 299.72/300.39  153612[5:Res:3.1,153534.1] || equal(complement(u),universal_class) -> subclass(u,v)*.
% 299.72/300.39  153534[5:MRR:153486.1,29469.1] || equal(complement(u),universal_class) member(v,u)* -> .
% 299.72/300.39  119659[0:SpL:118446.0,8165.1] || member(u,symmetric_difference(universal_class,v))* member(u,v) -> .
% 299.72/300.39  119626[0:SpR:118446.0,943.1] || member(u,symmetric_difference(universal_class,v))* -> member(u,complement(v)).
% 299.72/300.39  47693[0:SpR:27.0,47673.0] ||  -> subclass(complement(union(u,v)),intersection(complement(u),complement(v)))*.
% 299.72/300.39  118490[5:Rew:118446.0,29479.0] || member(u,complement(v)) -> member(u,symmetric_difference(universal_class,v))*.
% 299.72/300.39  146648[5:SpR:119684.0,146022.0] ||  -> equal(intersection(complement(u),symmetric_difference(universal_class,u)),symmetric_difference(universal_class,u))**.
% 299.72/300.39  86316[0:SpR:114.0,47693.0] ||  -> subclass(complement(symmetrization_of(u)),intersection(complement(u),complement(inverse(u))))*.
% 299.72/300.39  86317[0:SpR:44.0,47693.0] ||  -> subclass(complement(successor(u)),intersection(complement(u),complement(singleton(u))))*.
% 299.72/300.39  3780[0:Res:7.1,3634.0] || equal(complement(complement(u)),universal_class) -> member(singleton(v),u)*.
% 299.72/300.39  3634[0:MRR:3621.0,176.0] || subclass(universal_class,complement(complement(u)))*+ -> member(singleton(v),u)*.
% 299.72/300.39  3574[0:Res:7.1,729.1] inductive(u) || equal(omega,u)* -> equal(u,omega).
% 299.72/300.39  150227[5:Res:144786.1,25.1] || equal(symmetric_difference(universal_class,u),universal_class)** member(omega,u) -> .
% 299.72/300.39  773[0:Res:26.2,2.0] || member(u,universal_class)* subclass(complement(v),w)*+ -> member(u,v)* member(u,w)*.
% 299.72/300.39  146252[5:SpR:145868.1,119684.0] || subclass(universal_class,complement(u))* -> equal(symmetric_difference(universal_class,u),universal_class).
% 299.72/300.39  144786[5:SpL:119684.0,928.0] || equal(symmetric_difference(universal_class,u),universal_class) -> member(omega,complement(u))*.
% 299.72/300.39  144766[5:SpL:119684.0,791.0] || subclass(universal_class,symmetric_difference(universal_class,u))* -> member(omega,complement(u)).
% 299.72/300.39  581[0:SpR:27.0,27.0] ||  -> equal(union(u,intersection(complement(v),complement(w))),complement(intersection(complement(u),union(v,w))))**.
% 299.72/300.39  41234[5:Res:5201.1,41200.1] inductive(domain_of(u)) || equal(complement(rest_of(u)),universal_class)** -> .
% 299.72/300.39  580[0:SpR:27.0,27.0] ||  -> equal(union(intersection(complement(u),complement(v)),w),complement(intersection(union(u,v),complement(w))))**.
% 299.72/300.39  26946[5:Res:5201.1,5503.0] inductive(cantor(u)) || equal(complement(domain_of(u)),universal_class)** -> .
% 299.72/300.39  22667[5:Rew:22446.0,6918.0] ||  -> equal(cantor(flip(cross_product(u,universal_class))),intersection(inverse(u),universal_class))**.
% 299.72/300.39  588[0:SpL:27.0,25.1] || member(u,intersection(complement(v),complement(w)))* member(u,union(v,w)) -> .
% 299.72/300.39  125616[0:Res:8231.0,729.1] inductive(intersection(u,omega)) ||  -> equal(intersection(u,omega),omega)**.
% 299.72/300.39  125607[0:Res:8325.0,729.1] inductive(intersection(omega,u)) ||  -> equal(intersection(omega,u),omega)**.
% 299.72/300.39  124865[5:Rew:22914.0,124827.0] ||  -> equal(symmetric_difference(universal_class,symmetric_difference(universal_class,u)),symmetric_difference(complement(u),universal_class))**.
% 299.72/300.39  598[0:SpR:29.0,30.0] ||  -> equal(restrict(cross_product(u,v),w,x),restrict(cross_product(w,x),u,v))*.
% 299.72/300.39  1013[0:SpR:123.0,133.1] || section(u,singleton(v),w) -> subclass(segment(u,w,v),singleton(v))*.
% 299.72/300.39  770[0:Res:11.1,2.0] || member(u,universal_class) subclass(unordered_pair(v,u),w)* -> member(u,w).
% 299.72/300.39  771[0:Res:10.1,2.0] || member(u,universal_class) subclass(unordered_pair(u,v),w)* -> member(u,w).
% 299.72/300.39  931[0:SpR:114.0,160.0] ||  -> equal(intersection(complement(intersection(u,inverse(u))),symmetrization_of(u)),symmetric_difference(u,inverse(u)))**.
% 299.72/300.39  595[0:SpL:30.0,22.0] || member(u,restrict(v,w,x))* -> member(u,cross_product(w,x)).
% 299.72/300.39  356[0:Res:3.1,23.0] ||  -> subclass(intersection(u,v),w) member(not_subclass_element(intersection(u,v),w),v)*.
% 299.72/300.39  366[0:Res:3.1,22.0] ||  -> subclass(intersection(u,v),w) member(not_subclass_element(intersection(u,v),w),u)*.
% 299.72/300.39  766[0:Res:3.1,2.0] || subclass(u,v) -> subclass(u,w) member(not_subclass_element(u,w),v)*.
% 299.72/300.39  764[0:Res:57.1,2.0] || member(u,universal_class) subclass(universal_class,v) -> member(power_class(u),v)*.
% 299.72/300.39  4977[3:MRR:3647.1,4956.0] || asymmetric(u,v) -> section(intersection(u,inverse(u)),v,v)*.
% 299.72/300.39  338[0:Res:3.1,25.1] || member(not_subclass_element(complement(u),v),u)* -> subclass(complement(u),v).
% 299.72/300.39  125619[0:Res:47673.0,729.1] inductive(complement(complement(omega))) ||  -> equal(complement(complement(omega)),omega)**.
% 299.72/300.39  146209[0:MRR:146190.0,8231.0] ||  -> equal(intersection(u,intersection(v,u)),intersection(v,u))**.
% 299.72/300.39  146022[0:MRR:146011.0,8231.0] ||  -> equal(intersection(u,intersection(u,v)),intersection(u,v))**.
% 299.72/300.39  146436[5:Res:7.1,146311.0] || equal(inverse(u),universal_class) -> subclass(v,inverse(u))*.
% 299.72/300.39  146311[5:Rew:118446.0,146246.1] || subclass(universal_class,inverse(u))*+ -> subclass(v,inverse(u))*.
% 299.72/300.39  146240[5:SpR:145868.1,22519.0] || subclass(universal_class,domain_of(u))* -> equal(cantor(u),universal_class).
% 299.72/300.39  145868[0:MRR:145817.1,8231.0] || subclass(u,v) -> equal(intersection(v,u),u)**.
% 299.72/300.39  146067[5:SpR:146057.0,8337.0] ||  -> subclass(symmetric_difference(domain_of(u),cantor(u)),complement(cantor(u)))*.
% 299.72/300.39  146057[5:MRR:146048.0,8231.0] ||  -> equal(intersection(domain_of(u),cantor(u)),cantor(u))**.
% 299.72/300.39  145924[5:Res:145903.1,711.0] || equal(domain_of(u),universal_class)** -> equal(cantor(u),universal_class).
% 299.72/300.39  226[0:Res:3.1,158.0] ||  -> subclass(omega,u) equal(integer_of(not_subclass_element(omega,u)),not_subclass_element(omega,u))**.
% 299.72/300.39  45819[0:Obv:45813.1] || subclass(u,cantor(v)) -> subclass(u,domain_of(v))*.
% 299.72/300.39  29473[5:MRR:22530.0,29469.1] || member(u,domain_of(v))* -> member(u,cantor(v)).
% 299.72/300.39  117277[5:Obv:117276.0] ||  -> member(u,inverse(singleton(u)))* asymmetric(singleton(u),v)*.
% 299.72/300.39  596[0:SpL:30.0,23.0] || member(u,restrict(v,w,x))* -> member(u,v).
% 299.72/300.39  5726[5:MRR:5483.2,5188.0] single_valued_class(u) inductive(compose(u,inverse(u))) ||  -> .
% 299.72/300.39  5727[5:MRR:5484.2,5188.0] function(u) inductive(compose(u,inverse(u))) ||  -> .
% 299.72/300.39  9004[0:SpR:114.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),complement(inverse(u))),symmetrization_of(u))*.
% 299.72/300.39  51745[0:MRR:51726.0,29531.1] || subclass(rest_relation,rest_of(u))*+ -> subclass(v,domain_of(u))*.
% 299.72/300.39  119613[3:SpR:118446.0,4977.1] || asymmetric(universal_class,u) -> section(inverse(universal_class),u,u)*.
% 299.72/300.39  40120[0:SpL:14.0,39991.0] || subclass(universal_class,complement(unordered_pair(ordered_pair(u,v),w)))* -> .
% 299.72/300.39  40189[0:Res:7.1,40120.0] || equal(complement(unordered_pair(ordered_pair(u,v),w)),universal_class)** -> .
% 299.72/300.39  39991[0:MRR:39967.0,12.0] || subclass(universal_class,complement(unordered_pair(unordered_pair(u,v),w)))* -> .
% 299.72/300.39  608[0:SpL:78.0,22.0] || member(u,cantor(v)) -> member(u,domain_of(v))*.
% 299.72/300.39  40123[0:Res:7.1,39991.0] || equal(complement(unordered_pair(unordered_pair(u,v),w)),universal_class)** -> .
% 299.72/300.39  39990[0:MRR:39966.0,12.0] || subclass(universal_class,complement(unordered_pair(u,unordered_pair(v,w))))* -> .
% 299.72/300.39  40117[0:Res:7.1,39990.0] || equal(complement(unordered_pair(u,unordered_pair(v,w))),universal_class)** -> .
% 299.72/300.39  40113[0:SpL:14.0,39990.0] || subclass(universal_class,complement(unordered_pair(u,ordered_pair(v,w))))* -> .
% 299.72/300.39  40176[0:Res:7.1,40113.0] || equal(complement(unordered_pair(u,ordered_pair(v,w))),universal_class)** -> .
% 299.72/300.39  762[0:Res:12.0,2.0] || subclass(universal_class,u) -> member(unordered_pair(v,w),u)*.
% 299.72/300.39  928[0:Res:7.1,791.0] || equal(intersection(u,v),universal_class)** -> member(omega,u).
% 299.72/300.39  791[0:Res:761.1,22.0] || subclass(universal_class,intersection(u,v))* -> member(omega,u).
% 299.72/300.39  144714[0:SpL:118446.0,961.0] || equal(u,universal_class) -> member(omega,u)*.
% 299.72/300.39  961[0:Res:7.1,792.0] || equal(intersection(u,v),universal_class)** -> member(omega,v).
% 299.72/300.39  38[0:Inp] || member(ordered_pair(ordered_pair(u,v),w),x) member(ordered_pair(ordered_pair(v,u),w),cross_product(cross_product(universal_class,universal_class),universal_class))*+ -> member(ordered_pair(ordered_pair(v,u),w),flip(x))*.
% 299.72/300.39  792[0:Res:761.1,23.0] || subclass(universal_class,intersection(u,v))* -> member(omega,v).
% 299.72/300.39  35[0:Inp] || member(ordered_pair(ordered_pair(u,v),w),x) member(ordered_pair(ordered_pair(w,u),v),cross_product(cross_product(universal_class,universal_class),universal_class))*+ -> member(ordered_pair(ordered_pair(w,u),v),rotate(x))*.
% 299.72/300.39  77667[0:Res:53166.1,711.0] || equal(rest_of(u),rest_relation) -> equal(domain_of(u),universal_class)**.
% 299.72/300.39  79123[0:Res:7.1,79052.0] || equal(cantor(u),universal_class) -> equal(domain_of(u),universal_class)**.
% 299.72/300.39  77752[5:Rew:29983.0,77716.1] || equal(rest_of(u),rest_relation)** -> equal(cantor(u),universal_class).
% 299.72/300.39  79052[0:Res:45819.1,711.0] || subclass(universal_class,cantor(u))* -> equal(domain_of(u),universal_class).
% 299.72/300.39  122380[5:Rew:119684.0,22915.0] ||  -> equal(symmetric_difference(domain_of(u),universal_class),symmetric_difference(universal_class,cantor(u)))**.
% 299.72/300.39  95[0:Inp] || equal(compose(u,v),w) member(ordered_pair(v,w),cross_product(universal_class,universal_class))*+ -> member(ordered_pair(v,w),compose_class(u))*.
% 299.72/300.39  119[0:Inp] || transitive(u,v) -> subclass(compose(restrict(u,v,v),restrict(u,v,v)),restrict(u,v,v))*.
% 299.72/300.39  120[0:Inp] || subclass(compose(restrict(u,v,v),restrict(u,v,v)),restrict(u,v,v))* -> transitive(u,v).
% 299.72/300.39  144[0:Inp] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),w) -> member(ordered_pair(u,w),rest_of(v))*.
% 299.72/300.39  98[0:Inp] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),composition_function)*.
% 299.72/300.39  134[0:Inp] || subclass(u,v) subclass(domain_of(restrict(w,v,u)),u)* -> section(w,u,v).
% 299.72/300.39  132826[5:Res:7.1,126293.1] || equal(u,domain_relation) equal(complement(u),universal_class)** -> .
% 299.72/300.39  17[0:Inp] || member(u,v) member(w,x) -> member(ordered_pair(w,u),cross_product(x,v))*.
% 299.72/300.39  143[0:Inp] || member(ordered_pair(u,v),rest_of(w))* -> equal(restrict(w,u,universal_class),v).
% 299.72/300.39  8246[0:SpR:29.0,8231.0] ||  -> subclass(restrict(u,v,w),cross_product(v,w))*.
% 299.72/300.39  119609[0:SpR:118446.0,29.0] ||  -> equal(restrict(universal_class,u,v),cross_product(u,v))**.
% 299.72/300.39  133[0:Inp] || section(u,v,w) -> subclass(domain_of(restrict(u,w,v)),v)*.
% 299.72/300.39  45887[0:SpR:29.0,45823.0] ||  -> subclass(restrict(cantor(u),v,w),domain_of(u))*.
% 299.72/300.39  29531[0:Res:3.1,29469.0] ||  -> subclass(u,v) member(not_subclass_element(u,v),universal_class)*.
% 299.72/300.39  648[0:MRR:643.0,12.0] ||  -> member(unordered_pair(u,singleton(v)),ordered_pair(u,v))*.
% 299.72/300.39  9[0:Inp] || member(u,unordered_pair(v,w))* -> equal(u,w) equal(u,v).
% 299.72/300.39  3642[0:Res:5.0,134.1] || subclass(universal_class,u) -> section(v,universal_class,u)*.
% 299.72/300.39  334[0:SpR:13.0,11.1] || member(u,universal_class) -> member(u,singleton(u))*.
% 299.72/300.39  15[0:Inp] || member(ordered_pair(u,v),cross_product(w,x))* -> member(u,w).
% 299.72/300.39  16[0:Inp] || member(ordered_pair(u,v),cross_product(w,x))* -> member(v,x).
% 299.72/300.39  123[0:Inp] ||  -> equal(domain_of(restrict(u,v,singleton(w))),segment(u,v,w))**.
% 299.72/300.39  3633[0:MRR:3618.0,176.0] || subclass(universal_class,complement(unordered_pair(singleton(u),v)))* -> .
% 299.72/300.39  84[0:Inp] || compatible(u,v,w)* -> equal(domain_of(domain_of(v)),domain_of(u)).
% 299.72/300.39  3658[0:Res:7.1,3633.0] || equal(complement(unordered_pair(singleton(u),v)),universal_class)** -> .
% 299.72/300.39  3632[0:MRR:3617.0,176.0] || subclass(universal_class,complement(unordered_pair(u,singleton(v))))* -> .
% 299.72/300.39  3652[0:Res:7.1,3632.0] || equal(complement(unordered_pair(u,singleton(v))),universal_class)** -> .
% 299.72/300.39  39989[0:MRR:39969.0,12.0] || subclass(universal_class,complement(singleton(unordered_pair(u,v))))* -> .
% 299.72/300.39  39999[0:Res:7.1,39989.0] || equal(complement(singleton(unordered_pair(u,v))),universal_class)** -> .
% 299.72/300.39  142[0:Inp] || member(ordered_pair(u,v),rest_of(w))* -> member(u,domain_of(w)).
% 299.72/300.39  26[0:Inp] || member(u,universal_class) -> member(u,v) member(u,complement(v))*.
% 299.72/300.39  14[0:Inp] ||  -> equal(unordered_pair(singleton(u),unordered_pair(u,singleton(v))),ordered_pair(u,v))**.
% 299.72/300.39  29[0:Inp] ||  -> equal(intersection(u,cross_product(v,w)),restrict(u,v,w))**.
% 299.72/300.39  30[0:Inp] ||  -> equal(intersection(cross_product(u,v),w),restrict(w,u,v))**.
% 299.72/300.39  100[0:Inp] || member(ordered_pair(u,v),domain_relation)* -> equal(domain_of(u),v).
% 299.72/300.39  111[0:Inp] || maps(u,v,w)* -> equal(domain_of(u),v).
% 299.72/300.39  4[0:Inp] || member(not_subclass_element(u,v),v)* -> subclass(u,v).
% 299.72/300.39  8278[0:SpR:114.0,8243.0] ||  -> subclass(symmetric_difference(u,inverse(u)),symmetrization_of(u))*.
% 299.72/300.39  45825[0:Obv:45812.0] ||  -> subclass(intersection(u,cantor(v)),domain_of(v))*.
% 299.72/300.39  45823[0:Obv:45810.0] ||  -> subclass(intersection(cantor(u),v),domain_of(u))*.
% 299.72/300.39  11[0:Inp] || member(u,universal_class) -> member(u,unordered_pair(v,u))*.
% 299.72/300.39  22882[5:Obv:22652.1] inductive(domain_of(restrict(identity_relation,u,v))) ||  -> .
% 299.72/300.39  10[0:Inp] || member(u,universal_class) -> member(u,unordered_pair(u,v))*.
% 299.72/300.39  47679[0:Obv:47671.0] ||  -> subclass(complement(complement(cantor(u))),domain_of(u))*.
% 299.72/300.39  22519[5:Rew:22446.0,6871.0] ||  -> equal(intersection(domain_of(u),universal_class),cantor(u))**.
% 299.72/300.39  74[0:Inp] function(u) || function(inverse(u))* -> one_to_one(u).
% 299.72/300.39  888[0:MRR:880.0,53.0] || equal(complement(unordered_pair(omega,u)),universal_class)** -> .
% 299.72/300.39  887[0:MRR:879.0,53.0] || equal(complement(unordered_pair(u,omega)),universal_class)** -> .
% 299.72/300.39  3[0:Inp] ||  -> subclass(u,v) member(not_subclass_element(u,v),u)*.
% 299.72/300.39  39[0:Inp] ||  -> equal(domain_of(flip(cross_product(u,universal_class))),inverse(u))**.
% 299.72/300.39  57[0:Inp] || member(u,universal_class) -> member(power_class(u),universal_class)*.
% 299.72/300.39  8249[0:SpR:30.0,8231.0] ||  -> subclass(restrict(u,v,w),u)*.
% 299.72/300.39  22838[5:Obv:22653.1] inductive(domain_of(intersection(u,identity_relation))) ||  -> .
% 299.72/300.39  114[0:Inp] ||  -> equal(union(u,inverse(u)),symmetrization_of(u))**.
% 299.72/300.39  8346[5:SpR:6871.0,8325.0] ||  -> subclass(cantor(u),domain_of(u))*.
% 299.72/300.39  4785[0:Res:45.0,2957.1] single_valued_class(successor_relation) ||  -> function(successor_relation)*.
% 299.72/300.39  13[0:Inp] ||  -> equal(unordered_pair(u,u),singleton(u))**.
% 299.72/300.39  73[0:Inp] one_to_one(u) ||  -> function(inverse(u))*.
% 299.72/300.39  4958[3:Res:451.1,4950.0] inductive(domain_of(singleton_relation)) ||  -> .
% 299.72/300.39  1343[0:MRR:1246.1,1342.1] || equal(successor_relation,universal_class)** -> .
% 299.72/300.39  125380[7:MRR:6496.1,125378.0] || equal(domain_relation,successor_relation)** -> .
% 299.72/300.39  125381[7:MRR:6473.1,125378.0] || subclass(domain_relation,successor_relation)* -> .
% 299.72/300.39  12[0:Inp] ||  -> member(unordered_pair(u,v),universal_class)*.
% 299.72/300.39  132824[5:Res:99.0,126293.1] || equal(complement(cross_product(universal_class,universal_class)),universal_class)** -> .
% 299.72/300.39  126293[5:Res:7.1,40248.1] || equal(complement(u),universal_class) subclass(domain_relation,u)* -> .
% 299.72/300.39  124986[0:Res:119650.1,816.1] || equal(u,universal_class) subclass(universal_class,complement(u))* -> .
% 299.72/300.39  122382[5:Rew:119684.0,22666.0] ||  -> equal(symmetric_difference(universal_class,intersection(u,universal_class)),symmetric_difference(u,universal_class))**.
% 299.72/300.39  3615[0:Res:763.1,816.1] || subclass(universal_class,u) subclass(universal_class,complement(u))* -> .
% 299.72/300.39  877[0:Res:761.1,875.1] || subclass(universal_class,u)* equal(complement(u),universal_class) -> .
% 299.72/300.39  27099[5:Res:779.1,6463.1] || subclass(universal_class,u) subclass(domain_relation,complement(u))* -> .
% 299.72/300.39  27170[5:Res:7.1,27099.1] || equal(complement(u),domain_relation) subclass(universal_class,u)* -> .
% 299.72/300.39  906[0:Res:7.1,877.0] || equal(u,universal_class) equal(complement(u),universal_class)** -> .
% 299.72/300.39  27188[5:Res:7.1,27170.1] || equal(u,universal_class) equal(complement(u),domain_relation)** -> .
% 299.72/300.39  889[0:MRR:882.0,53.0] || equal(complement(complement(u)),universal_class)** -> member(omega,u).
% 299.72/300.39  122508[5:Rew:122359.0,898.0] || equal(complement(complement(symmetrization_of(u))),cross_product(v,v))*+ -> connected(u,v)*.
% 299.72/300.39  790[0:Res:761.1,25.1] || subclass(universal_class,complement(u))* member(omega,u) -> .
% 299.72/300.39  40248[5:Res:5615.1,1025.1] || subclass(domain_relation,u) subclass(universal_class,complement(u))* -> .
% 299.72/300.39  40235[0:Res:147.1,1025.1] || member(u,universal_class)* subclass(universal_class,complement(rest_relation))*+ -> .
% 299.72/300.39  729[0:Res:52.1,8.0] inductive(u) || subclass(u,omega)* -> equal(u,omega).
% 299.72/300.39  125423[7:Res:5201.1,125384.0] inductive(complement(singleton(identity_relation))) ||  -> .
% 299.72/300.39  125385[7:MRR:122488.1,125384.0] inductive(complement(successor(identity_relation))) ||  -> .
% 299.72/300.39  40246[5:Res:6523.1,1025.1] || equal(domain_relation,rest_relation) subclass(universal_class,complement(rest_relation))* -> .
% 299.72/300.39  119650[0:SpL:118446.0,4166.0] || equal(u,universal_class) -> member(singleton(v),u)*.
% 299.72/300.39  124966[5:MRR:124964.1,5185.0] inductive(complement(omega)) ||  -> .
% 299.72/300.39  119684[5:Rew:22458.0,119595.0] ||  -> equal(intersection(complement(u),universal_class),symmetric_difference(universal_class,u))**.
% 299.72/300.39  3957[3:Res:451.1,3955.1] inductive(u) || equal(complement(u),universal_class)** -> .
% 299.72/300.39  122509[5:Rew:122359.0,117.1] || connected(u,v) -> subclass(cross_product(v,v),complement(complement(symmetrization_of(u))))*.
% 299.72/300.39  122507[5:Rew:122359.0,118.0] || subclass(cross_product(u,u),complement(complement(symmetrization_of(v))))* -> connected(v,u).
% 299.72/300.39  124469[0:SpR:119978.0,27.0] ||  -> equal(union(u,u),complement(complement(u)))**.
% 299.72/300.39  27[0:Inp] ||  -> equal(complement(intersection(complement(u),complement(v))),union(u,v))**.
% 299.72/300.39  761[0:Res:53.0,2.0] || subclass(universal_class,u) -> member(omega,u)*.
% 299.72/300.39  158[0:Inp] || member(u,omega)* -> equal(integer_of(u),u).
% 299.72/300.39  119596[0:SpR:118446.0,8337.0] ||  -> subclass(symmetric_difference(universal_class,u),complement(u))*.
% 299.72/300.39  47823[5:Res:7.1,47787.0] || equal(cross_product(u,v),universal_class)** -> .
% 299.72/300.39  886[0:MRR:881.0,53.0] || equal(complement(singleton(omega)),universal_class)** -> .
% 299.72/300.39  47673[0:Obv:47669.0] ||  -> subclass(complement(complement(u)),u)*.
% 299.72/300.39  123626[5:SoR:122374.0,72.1] one_to_one(symmetric_difference(universal_class,identity_relation)) ||  -> .
% 299.72/300.39  123624[5:Res:7.1,40243.0] || equal(complement(domain_relation),universal_class)** -> .
% 299.72/300.39  122374[5:MRR:30058.1,47823.0] function(symmetric_difference(universal_class,identity_relation)) ||  -> .
% 299.72/300.39  40243[5:Res:5303.0,1025.1] || subclass(universal_class,complement(domain_relation))* -> .
% 299.72/300.39  52[0:Inp] inductive(u) ||  -> subclass(omega,u)*.
% 299.72/300.39  123580[5:SoR:122348.0,72.1] one_to_one(successor(universal_class)) ||  -> .
% 299.72/300.39  122348[5:MRR:22835.1,47823.0] function(successor(universal_class)) ||  -> .
% 299.72/300.39  122338[5:MRR:758.1,47823.0] one_to_one(universal_class) ||  -> .
% 299.72/300.39  53[0:Inp] ||  -> member(omega,universal_class)*.
% 299.72/300.39  47820[5:Res:63.1,47787.0] function(universal_class) ||  -> .
% 299.72/300.39  51[0:Inp] ||  -> inductive(omega)*.
% 299.72/300.39  19890[0:Res:7.1,720.1] function(u) || equal(u,cross_product(universal_class,universal_class))* -> equal(cross_product(universal_class,universal_class),u).
% 299.72/300.39  119978[0:MRR:119920.0,8231.0] ||  -> equal(intersection(u,u),u)**.
% 299.72/300.39  118446[0:MRR:118215.0,8231.0] ||  -> equal(intersection(universal_class,u),u)**.
% 299.72/300.39  8157[0:SpR:27.0,943.1] || member(u,symmetric_difference(complement(v),complement(w)))* -> member(u,union(v,w)).
% 299.72/300.39  8582[0:Res:7.1,717.0] || equal(rest_of(u),cross_product(universal_class,universal_class))* -> equal(cross_product(universal_class,universal_class),rest_of(u)).
% 299.72/300.39  8599[0:Res:7.1,718.0] || equal(compose_class(u),cross_product(universal_class,universal_class))* -> equal(cross_product(universal_class,universal_class),compose_class(u)).
% 299.72/300.39  8165[0:Res:943.1,25.1] || member(u,symmetric_difference(v,w)) member(u,intersection(v,w))* -> .
% 299.72/300.39  8898[0:SpL:932.0,23.0] || member(u,symmetric_difference(v,singleton(v)))* -> member(u,successor(v)).
% 299.72/300.39  4792[0:Res:7.1,2957.1] single_valued_class(u) || equal(cross_product(universal_class,universal_class),u)*+ -> function(u)*.
% 299.72/300.39  930[0:SpR:160.0,160.0] ||  -> equal(intersection(complement(symmetric_difference(u,v)),union(complement(intersection(u,v)),union(u,v))),symmetric_difference(complement(intersection(u,v)),union(u,v)))**.
% 299.72/300.39  3892[0:Res:17.2,95.1] || member(u,universal_class) member(v,universal_class) equal(compose(w,v),u) -> member(ordered_pair(v,u),compose_class(w))*.
% 299.72/300.39  3335[0:Res:17.2,2.0] || member(u,v)* member(w,x)* subclass(cross_product(x,v),y)*+ -> member(ordered_pair(w,u),y)*.
% 299.72/300.39  2599[0:SpR:160.0,24.2] || member(u,union(v,w)) member(u,complement(intersection(v,w)))* -> member(u,symmetric_difference(v,w)).
% 299.72/300.39  1037[0:Res:779.1,94.0] || subclass(universal_class,compose_class(u))*+ -> equal(compose(u,v),w)*.
% 299.72/300.39  2609[0:Res:24.2,2.0] || member(u,v)* member(u,w)* subclass(intersection(w,v),x)*+ -> member(u,x)*.
% 299.72/300.39  725[0:Res:33.0,8.0] || subclass(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(u))* -> equal(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(u)).
% 299.72/300.39  724[0:Res:36.0,8.0] || subclass(cross_product(cross_product(universal_class,universal_class),universal_class),flip(u))* -> equal(cross_product(cross_product(universal_class,universal_class),universal_class),flip(u)).
% 299.72/300.39  816[0:Res:763.1,25.1] || subclass(universal_class,complement(u)) member(singleton(v),u)* -> .
% 299.72/300.39  941[0:SpR:27.0,160.0] ||  -> equal(intersection(union(u,v),union(complement(u),complement(v))),symmetric_difference(complement(u),complement(v)))**.
% 299.72/300.39  719[0:Res:58.0,8.0] || subclass(cross_product(universal_class,universal_class),compose(u,v))* -> equal(compose(u,v),cross_product(universal_class,universal_class)).
% 299.72/300.39  723[0:Res:96.0,8.0] || subclass(cross_product(universal_class,cross_product(universal_class,universal_class)),composition_function)* -> equal(cross_product(universal_class,cross_product(universal_class,universal_class)),composition_function).
% 299.72/300.39  720[0:Res:63.1,8.0] function(u) || subclass(cross_product(universal_class,universal_class),u)* -> equal(cross_product(universal_class,universal_class),u).
% 299.72/300.39  932[0:SpR:44.0,160.0] ||  -> equal(intersection(complement(intersection(u,singleton(u))),successor(u)),symmetric_difference(u,singleton(u)))**.
% 299.72/300.39  717[0:Res:141.0,8.0] || subclass(cross_product(universal_class,universal_class),rest_of(u))* -> equal(cross_product(universal_class,universal_class),rest_of(u)).
% 299.72/300.39  718[0:Res:93.0,8.0] || subclass(cross_product(universal_class,universal_class),compose_class(u))* -> equal(cross_product(universal_class,universal_class),compose_class(u)).
% 299.72/300.39  943[0:SpL:160.0,22.0] || member(u,symmetric_difference(v,w)) -> member(u,complement(intersection(v,w)))*.
% 299.72/300.39  4789[0:Res:58.0,2957.1] single_valued_class(compose(u,v)) ||  -> function(compose(u,v))*.
% 299.72/300.39  8614[0:SpR:27.0,8337.0] ||  -> subclass(symmetric_difference(complement(u),complement(v)),union(u,v))*.
% 299.72/300.39  9005[0:SpR:44.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),complement(singleton(u))),successor(u))*.
% 299.72/300.39  944[0:SpL:160.0,23.0] || member(u,symmetric_difference(v,w))* -> member(u,union(v,w)).
% 299.72/300.39  2957[0:Res:61.1,65.1] single_valued_class(u) || subclass(u,cross_product(universal_class,universal_class))* -> function(u).
% 299.72/300.39  713[0:Res:145.0,8.0] || subclass(cross_product(universal_class,universal_class),rest_relation)* -> equal(cross_product(universal_class,universal_class),rest_relation).
% 299.72/300.39  714[0:Res:99.0,8.0] || subclass(cross_product(universal_class,universal_class),domain_relation)* -> equal(cross_product(universal_class,universal_class),domain_relation).
% 299.72/300.39  27247[5:Res:7.1,27184.1] || equal(u,domain_relation) equal(complement(u),domain_relation)** -> .
% 299.72/300.39  27184[5:Res:7.1,27118.1] || equal(complement(u),domain_relation) subclass(domain_relation,u)* -> .
% 299.72/300.39  27118[5:Res:5615.1,6463.1] || subclass(domain_relation,u) subclass(domain_relation,complement(u))* -> .
% 299.72/300.39  321[0:Res:72.1,74.1] one_to_one(inverse(u)) function(u) ||  -> one_to_one(u)*.
% 299.72/300.39  75365[5:Res:7.1,27117.1] || equal(complement(rest_relation),domain_relation)** equal(domain_relation,rest_relation) -> .
% 299.72/300.39  29782[5:MRR:29644.1,5188.0] inductive(symmetric_difference(complement(intersection(universal_class,regular(universal_class))),universal_class)) ||  -> .
% 299.72/300.39  4797[0:Res:348.0,2957.1] single_valued_class(cross_product(universal_class,universal_class)) ||  -> function(cross_product(universal_class,universal_class))*.
% 299.72/300.39  27117[5:Res:6523.1,6463.1] || equal(domain_relation,rest_relation) subclass(domain_relation,complement(rest_relation))* -> .
% 299.72/300.39  8337[0:SpR:160.0,8325.0] ||  -> subclass(symmetric_difference(u,v),complement(intersection(u,v)))*.
% 299.72/300.39  24[0:Inp] || member(u,v) member(u,w) -> member(u,intersection(w,v))*.
% 299.72/300.39  18[0:Inp] || member(u,cross_product(v,w))*+ -> equal(ordered_pair(first(u),second(u)),u)**.
% 299.72/300.39  97[0:Inp] || member(ordered_pair(u,ordered_pair(v,w)),composition_function)* -> equal(compose(u,v),w).
% 299.72/300.39  40069[0:Res:7.1,39996.0] || equal(complement(singleton(ordered_pair(u,v))),universal_class)** -> .
% 299.72/300.39  39996[0:SpL:14.0,39989.0] || subclass(universal_class,complement(singleton(ordered_pair(u,v))))* -> .
% 299.72/300.39  94[0:Inp] || member(ordered_pair(u,v),compose_class(w))* -> equal(compose(w,u),v).
% 299.72/300.39  160[0:Rew:27.0,28.0] ||  -> equal(intersection(complement(intersection(u,v)),union(u,v)),symmetric_difference(u,v))**.
% 299.72/300.39  2[0:Inp] || member(u,v)*+ subclass(v,w)* -> member(u,w)*.
% 299.72/300.39  29749[5:MRR:29645.1,5188.0] inductive(symmetric_difference(intersection(universal_class,regular(universal_class)),identity_relation)) ||  -> .
% 299.72/300.39  8[0:Inp] || subclass(u,v)*+ subclass(v,u)* -> equal(v,u).
% 299.72/300.39  8243[0:SpR:160.0,8231.0] ||  -> subclass(symmetric_difference(u,v),union(u,v))*.
% 299.72/300.39  29469[0:Con:29462.1] || member(u,v)*+ -> member(u,universal_class)*.
% 299.72/300.39  8279[0:SpR:44.0,8243.0] ||  -> subclass(symmetric_difference(u,singleton(u)),successor(u))*.
% 299.72/300.39  711[0:Res:5.0,8.0] || subclass(universal_class,u)* -> equal(universal_class,u).
% 299.72/300.39  4788[0:Res:93.0,2957.1] single_valued_class(compose_class(u)) ||  -> function(compose_class(u))*.
% 299.72/300.39  4787[0:Res:141.0,2957.1] single_valued_class(rest_of(u)) ||  -> function(rest_of(u))*.
% 299.72/300.39  3649[0:Res:7.1,3626.0] || equal(complement(ordered_pair(u,v)),universal_class)** -> .
% 299.72/300.39  3626[0:Res:646.0,816.1] || subclass(universal_class,complement(ordered_pair(u,v)))* -> .
% 299.72/300.39  3365[4:Rew:3360.0,198.0] || member(u,universal_class) -> connected(element_relation,u)*.
% 299.72/300.39  3635[0:Res:7.1,3631.0] || equal(complement(singleton(singleton(u))),universal_class)** -> .
% 299.72/300.39  3631[0:MRR:3620.0,176.0] || subclass(universal_class,complement(singleton(singleton(u))))* -> .
% 299.72/300.39  22[0:Inp] || member(u,intersection(v,w))* -> member(u,v).
% 299.72/300.39  23[0:Inp] || member(u,intersection(v,w))* -> member(u,w).
% 299.72/300.39  29743[5:MRR:29646.1,5188.0] inductive(symmetric_difference(successor(universal_class),successor(universal_class))) ||  -> .
% 299.72/300.39  27245[5:Res:99.0,27184.1] || equal(complement(cross_product(universal_class,universal_class)),domain_relation)** -> .
% 299.72/300.39  25[0:Inp] || member(u,v) member(u,complement(v))* -> .
% 299.72/300.39  646[0:MRR:642.0,176.0] ||  -> member(singleton(u),ordered_pair(u,v))*.
% 299.72/300.39  317[0:Res:64.1,62.0] function(u) ||  -> single_valued_class(u)*.
% 299.72/300.39  22458[5:Rew:22446.0,6835.0] ||  -> equal(union(universal_class,u),universal_class)**.
% 299.72/300.39  22457[5:Rew:22446.0,6861.0] ||  -> equal(union(u,universal_class),universal_class)**.
% 299.72/300.39  29733[5:MRR:29637.1,5188.0] inductive(symmetric_difference(universal_class,universal_class)) ||  -> .
% 299.72/300.39  4786[0:Res:19.0,2957.1] single_valued_class(element_relation) ||  -> function(element_relation)*.
% 299.72/300.39  4784[0:Res:99.0,2957.1] single_valued_class(domain_relation) ||  -> function(domain_relation)*.
% 299.72/300.39  40280[0:Res:12.0,40278.1] || equal(complement(rest_relation),universal_class)** -> .
% 299.72/300.39  27116[5:Res:5303.0,6463.1] || subclass(domain_relation,complement(domain_relation))* -> .
% 299.72/300.39  44[0:Inp] ||  -> equal(union(u,singleton(u)),successor(u))**.
% 299.72/300.39  58[0:Inp] ||  -> subclass(compose(u,v),cross_product(universal_class,universal_class))*.
% 299.72/300.39  3868[4:MRR:3373.1,3836.1] inductive(complement(kind_1_ordinals)) ||  -> .
% 299.72/300.39  22446[5:Res:22217.0,711.0] ||  -> equal(successor(universal_class),universal_class)**.
% 299.72/300.39  22456[5:Rew:22446.0,6862.0] ||  -> equal(symmetrization_of(universal_class),universal_class)**.
% 299.72/300.39  22885[5:MRR:22884.0,5.0] ||  -> connected(universal_class,u)*.
% 299.72/300.39  308[0:Res:61.1,169.0] single_valued_class(rest_relation) ||  -> .
% 299.72/300.39  72[0:Inp] one_to_one(u) ||  -> function(u)*.
% 299.72/300.39  166[0:Res:72.1,1.0] one_to_one(rest_relation) ||  -> .
% 299.72/300.39  47787[5:MRR:5382.1,47782.0] || subclass(universal_class,cross_product(u,v))* -> .
% 299.72/300.39  47786[5:MRR:5383.1,47782.0] inductive(cross_product(u,v)) ||  -> .
% 299.72/300.39  655[0:SpL:647.0,146.0] || member(singleton(singleton(singleton(u))),rest_relation)* -> equal(rest_of(singleton(u)),u).
% 299.72/300.39  6549[5:SpR:6548.1,6548.1] function(u) function(v) ||  -> equal(single_valued1(u),single_valued1(v))*.
% 299.72/300.39  3336[0:Res:17.2,18.0] || member(u,v)*+ member(w,x)* -> equal(ordered_pair(first(ordered_pair(w,u)),second(ordered_pair(w,u))),ordered_pair(w,u))**.
% 299.72/300.39  30471[5:Res:5201.1,30435.0] inductive(regular(universal_class)) ||  -> .
% 299.72/300.39  30291[5:Obv:30266.1] inductive(intersection(universal_class,regular(universal_class))) ||  -> .
% 299.72/300.39  96[0:Inp] ||  -> subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class)))*.
% 299.72/300.39  3280[0:Res:7.1,3270.0] || equal(composition_function,universal_class)** -> .
% 299.72/300.39  3270[0:AED:3177.1] || subclass(universal_class,composition_function)* -> .
% 299.72/300.39  22455[5:Rew:22446.0,6869.0] ||  -> equal(diagonalise(u),universal_class)**.
% 299.72/300.39  22222[5:MRR:6896.0,22217.0] ||  -> irreflexive(u,v)*.
% 299.72/300.39  780[0:Res:147.1,2.0] || member(u,universal_class) subclass(rest_relation,v) -> member(ordered_pair(u,rest_of(u)),v)*.
% 299.72/300.39  146[0:Inp] || member(ordered_pair(u,v),rest_relation)* -> equal(rest_of(u),v).
% 299.72/300.39  147[0:Inp] || member(u,universal_class) -> member(ordered_pair(u,rest_of(u)),rest_relation)*.
% 299.72/300.39  145[0:Inp] ||  -> subclass(rest_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  8325[0:Obv:8321.0] ||  -> subclass(intersection(u,v),u)*.
% 299.72/300.39  8231[0:Obv:8227.0] ||  -> subclass(intersection(u,v),v)*.
% 299.72/300.39  6493[5:Res:7.1,6487.0] || equal(domain_relation,element_relation)** -> .
% 299.72/300.39  6487[5:MRR:6472.1,5188.0] || subclass(domain_relation,element_relation)* -> .
% 299.72/300.39  5796[5:MRR:5794.1,5185.0] inductive(identity_relation) ||  -> .
% 299.72/300.39  4722[0:Res:7.1,782.0] || equal(u,ordered_pair(v,w))*+ -> member(singleton(v),u)*.
% 299.72/300.39  4733[0:Obv:4727.1] || member(u,v) -> subclass(singleton(u),v)*.
% 299.72/300.39  782[0:Res:646.0,2.0] || subclass(ordered_pair(u,v),w)* -> member(singleton(u),w).
% 299.72/300.39  4706[0:MRR:4622.1,4705.1] || equal(compose_class(u),universal_class)** -> .
% 299.72/300.39  4166[0:Res:7.1,818.0] || equal(intersection(u,v),universal_class)**+ -> member(singleton(w),v)*.
% 299.72/300.39  4131[0:Res:7.1,817.0] || equal(intersection(u,v),universal_class)**+ -> member(singleton(w),u)*.
% 299.72/300.39  818[0:Res:763.1,23.0] || subclass(universal_class,intersection(u,v))*+ -> member(singleton(w),v)*.
% 299.72/300.39  817[0:Res:763.1,22.0] || subclass(universal_class,intersection(u,v))*+ -> member(singleton(w),u)*.
% 299.72/300.39  3870[3:MRR:843.0,3869.0] ||  -> inductive(universal_class)*.
% 299.72/300.39  3471[4:Res:3468.0,711.0] ||  -> equal(kind_1_ordinals,universal_class)**.
% 299.72/300.39  3360[4:Spt:2968.1] ||  -> equal(ordinal_numbers,universal_class)**.
% 299.72/300.39  34[0:Inp] || member(ordered_pair(ordered_pair(u,v),w),rotate(x))* -> member(ordered_pair(ordered_pair(v,w),u),x).
% 299.72/300.39  37[0:Inp] || member(ordered_pair(ordered_pair(u,v),w),flip(x))* -> member(ordered_pair(ordered_pair(v,u),w),x).
% 299.72/300.39  1054[0:Obv:1042.1] || member(u,singleton(v))* -> equal(u,v).
% 299.72/300.39  1930[0:MRR:1837.1,1929.1] || equal(domain_relation,universal_class)** -> .
% 299.72/300.39  1640[0:MRR:1546.1,1639.1] || equal(universal_class,rest_relation)** -> .
% 299.72/300.39  779[0:Res:641.0,2.0] || subclass(universal_class,u) -> member(ordered_pair(v,w),u)*.
% 299.72/300.39  839[3:Res:7.1,836.0] || equal(element_relation,universal_class)** -> .
% 299.72/300.39  836[3:Res:822.1,454.0] || subclass(universal_class,element_relation)* -> .
% 299.72/300.39  763[0:Res:176.0,2.0] || subclass(universal_class,u) -> member(singleton(v),u)*.
% 299.72/300.39  741[0:Res:7.1,711.0] || equal(u,universal_class)* -> equal(universal_class,u).
% 299.72/300.39  651[0:SpR:647.0,646.0] ||  -> member(singleton(singleton(u)),singleton(singleton(singleton(u))))*.
% 299.72/300.39  647[0:Rew:13.0,645.0] ||  -> equal(ordered_pair(singleton(u),u),singleton(singleton(singleton(u))))**.
% 299.72/300.39  641[0:SpR:14.0,12.0] ||  -> member(ordered_pair(u,v),universal_class)*.
% 299.72/300.39  560[3:SpR:474.0,474.0] ||  -> equal(ordinal_multiply(u,v),ordinal_multiply(u,w))*.
% 299.72/300.39  507[3:Res:451.1,454.0] inductive(singleton_relation) ||  -> .
% 299.72/300.39  424[2:Res:377.1,374.0] inductive(limit_ordinals) ||  -> .
% 299.72/300.39  348[0:Obv:346.0] ||  -> subclass(u,u)*.
% 299.72/300.39  309[0:Res:64.1,169.0] function(rest_relation) ||  -> .
% 299.72/300.39  132[0:Inp] || section(u,v,w)* -> subclass(v,w).
% 299.72/300.39  63[0:Inp] function(u) ||  -> subclass(u,cross_product(universal_class,universal_class))*.
% 299.72/300.39  33[0:Inp] ||  -> subclass(rotate(u),cross_product(cross_product(universal_class,universal_class),universal_class))*.
% 299.72/300.39  36[0:Inp] ||  -> subclass(flip(u),cross_product(cross_product(universal_class,universal_class),universal_class))*.
% 299.72/300.39  83[0:Inp] || compatible(u,v,w)* -> function(u).
% 299.72/300.39  110[0:Inp] || maps(u,v,w)* -> function(u).
% 299.72/300.39  7[0:Inp] || equal(u,v) -> subclass(v,u)*.
% 299.72/300.39  187[0:Res:48.1,181.0] inductive(null_class) ||  -> .
% 299.72/300.39  176[0:SpR:13.0,12.0] ||  -> member(singleton(u),universal_class)*.
% 299.72/300.39  93[0:Inp] ||  -> subclass(compose_class(u),cross_product(universal_class,universal_class))*.
% 299.72/300.39  141[0:Inp] ||  -> subclass(rest_of(u),cross_product(universal_class,universal_class))*.
% 299.72/300.39  163[0:Res:83.1,1.0] || compatible(rest_relation,u,v)* -> .
% 299.72/300.39  164[0:Res:110.1,1.0] || maps(rest_relation,u,v)* -> .
% 299.72/300.39  99[0:Inp] ||  -> subclass(domain_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.39  5[0:Inp] ||  -> subclass(u,universal_class)*.
% 299.72/300.39  1[0:Inp] || function(rest_relation)* -> .
% 299.72/300.39  70[0:Inp] ||  -> function(choice)*.260692[5:SpR:122382.0,260493.1] || subclass(universal_class,u) -> subclass(symmetric_difference(v,universal_class),u)*.
% 299.72/300.39  260976[0:Obv:260921.0] ||  -> subclass(intersection(u,intersection(v,cantor(w))),domain_of(w))*.
% 299.72/300.39  261065[0:SpR:160.0,260940.0] ||  -> subclass(intersection(u,symmetric_difference(v,w)),union(v,w))*.
% 299.72/300.39  261066[0:SpR:932.0,260940.0] ||  -> subclass(intersection(u,symmetric_difference(v,singleton(v))),successor(v))*.
% 299.72/300.39  261067[0:SpR:931.0,260940.0] ||  -> subclass(intersection(u,symmetric_difference(v,inverse(v))),symmetrization_of(v))*.
% 299.72/300.39  261266[0:SpR:30.0,261060.0] ||  -> subclass(restrict(restrict(u,v,w),x,y),u)*.
% 299.72/300.39  261549[0:Obv:261491.0] ||  -> subclass(intersection(u,intersection(cantor(v),w)),domain_of(v))*.
% 299.72/300.39  262011[0:Obv:261993.1] || subclass(u,v) -> subclass(intersection(u,w),v)*.
% 299.72/300.39  262448[0:Obv:262395.0] ||  -> subclass(intersection(intersection(u,cantor(v)),w),domain_of(v))*.
% 299.72/300.39  262540[0:SpR:160.0,262411.0] ||  -> subclass(intersection(symmetric_difference(u,v),w),union(u,v))*.
% 299.72/300.39  262541[0:SpR:932.0,262411.0] ||  -> subclass(intersection(symmetric_difference(u,singleton(u)),v),successor(u))*.
% 299.72/300.39  262542[0:SpR:931.0,262411.0] ||  -> subclass(intersection(symmetric_difference(u,inverse(u)),v),symmetrization_of(u))*.
% 299.72/300.39  262605[0:SpR:145868.1,262411.0] || subclass(u,intersection(v,w))* -> subclass(u,w).
% 299.72/300.39  262742[0:SpR:160.0,262607.0] ||  -> subclass(complement(complement(symmetric_difference(u,v))),union(u,v))*.
% 299.72/300.39  262743[0:SpR:932.0,262607.0] ||  -> subclass(complement(complement(symmetric_difference(u,singleton(u)))),successor(u))*.
% 299.72/300.39  262744[0:SpR:931.0,262607.0] ||  -> subclass(complement(complement(symmetric_difference(u,inverse(u)))),symmetrization_of(u))*.
% 299.72/300.39  262798[0:SpR:249200.0,262607.0] ||  -> subclass(complement(union(u,complement(power_class(v)))),power_class(v))*.
% 299.72/300.39  263142[0:Obv:263086.0] ||  -> subclass(intersection(intersection(cantor(u),v),w),domain_of(u))*.
% 299.72/300.39  263448[0:SpR:145868.1,263102.0] || subclass(u,intersection(v,w))* -> subclass(u,v).
% 299.72/300.39  263736[0:SpR:145868.1,263405.0] || subclass(u,complement(complement(v)))* -> subclass(u,v).
% 299.72/300.39  264028[0:SpR:145868.1,263450.0] || subclass(u,v) -> subclass(complement(complement(u)),v)*.
% 299.72/300.39  264093[0:SpR:249208.0,263450.0] ||  -> subclass(complement(union(complement(power_class(u)),v)),power_class(u))*.
% 299.72/300.39  264740[5:SpR:30.0,261641.0] ||  -> subclass(restrict(symmetric_difference(universal_class,u),v,w),complement(u))*.
% 299.72/300.39  265196[5:Res:263560.1,230333.0] || equal(complement(complement(u)),identity_relation)** -> subclass(u,v)*.
% 299.72/300.39  265260[5:Res:263560.1,256317.0] || equal(complement(u),identity_relation)** -> equal(singleton(u),identity_relation).
% 299.72/300.39  266913[5:MRR:266907.0,99.0] || subclass(composition_function,rest_of(u)) -> member(identity_relation,domain_of(u))*.
% 299.72/300.39  267535[5:Res:7.1,263650.0] || equal(symmetrization_of(identity_relation),u) -> subclass(u,inverse(identity_relation))*.
% 299.72/300.39  267568[5:Res:260940.0,263650.0] ||  -> subclass(intersection(u,intersection(v,symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.72/300.39  267570[5:Res:261510.0,263650.0] ||  -> subclass(intersection(u,intersection(symmetrization_of(identity_relation),v)),inverse(identity_relation))*.
% 299.72/300.39  267573[5:Res:262411.0,263650.0] ||  -> subclass(intersection(intersection(u,symmetrization_of(identity_relation)),v),inverse(identity_relation))*.
% 299.72/300.39  267574[5:Res:263102.0,263650.0] ||  -> subclass(intersection(intersection(symmetrization_of(identity_relation),u),v),inverse(identity_relation))*.
% 299.72/300.39  267833[9:SpL:30.0,267806.0] || equal(complement(restrict(symmetrization_of(identity_relation),u,v)),identity_relation)** -> .
% 299.72/300.39  268222[5:MRR:268216.0,99.0] || subclass(composition_function,cross_product(u,v))* -> member(identity_relation,u).
% 299.72/300.39  268508[5:Res:264384.1,711.0] || equal(successor(u),identity_relation) -> equal(complement(u),universal_class)**.
% 299.72/300.39  268522[5:Res:264384.1,5195.0] || equal(successor(u),identity_relation) member(identity_relation,u)* -> .
% 299.72/300.39  268524[5:Res:264384.1,124986.1] || equal(successor(u),identity_relation)** equal(u,universal_class) -> .
% 299.72/300.39  268525[5:Res:264384.1,3615.1] || equal(successor(u),identity_relation) subclass(universal_class,u)* -> .
% 299.72/300.39  268526[5:Res:264384.1,790.0] || equal(successor(u),identity_relation) member(omega,u)* -> .
% 299.72/300.39  268527[5:Res:264384.1,40248.1] || equal(successor(u),identity_relation) subclass(domain_relation,u)* -> .
% 299.72/300.39  268533[5:Res:264384.1,40113.0] || equal(successor(unordered_pair(u,ordered_pair(v,w))),identity_relation)** -> .
% 299.72/300.39  268534[5:Res:264384.1,39990.0] || equal(successor(unordered_pair(u,unordered_pair(v,w))),identity_relation)** -> .
% 299.72/300.39  268538[5:Res:264384.1,39991.0] || equal(successor(unordered_pair(unordered_pair(u,v),w)),identity_relation)** -> .
% 299.72/300.39  268539[5:Res:264384.1,40120.0] || equal(successor(unordered_pair(ordered_pair(u,v),w)),identity_relation)** -> .
% 299.72/300.39  268543[5:Res:264384.1,222412.0] || equal(successor(complement(u)),identity_relation)** -> member(omega,u).
% 299.72/300.39  268544[5:Res:264384.1,222410.0] || equal(successor(complement(u)),identity_relation)** -> member(identity_relation,u).
% 299.72/300.39  268548[5:Res:264384.1,235499.0] || equal(successor(complement(singleton(ordered_pair(u,v)))),identity_relation)** -> .
% 299.72/300.39  269089[5:Obv:269077.0] ||  -> equal(intersection(regular(u),u),identity_relation)** equal(u,identity_relation).
% 299.72/300.39  269400[5:Res:264434.1,711.0] || equal(symmetrization_of(u),identity_relation)** -> equal(complement(u),universal_class).
% 299.72/300.39  269414[5:Res:264434.1,5195.0] || equal(symmetrization_of(u),identity_relation) member(identity_relation,u)* -> .
% 299.72/300.39  269416[5:Res:264434.1,124986.1] || equal(symmetrization_of(u),identity_relation)** equal(u,universal_class) -> .
% 299.72/300.39  269417[5:Res:264434.1,3615.1] || equal(symmetrization_of(u),identity_relation) subclass(universal_class,u)* -> .
% 299.72/300.39  269418[5:Res:264434.1,790.0] || equal(symmetrization_of(u),identity_relation) member(omega,u)* -> .
% 299.72/300.39  269419[5:Res:264434.1,40248.1] || equal(symmetrization_of(u),identity_relation) subclass(domain_relation,u)* -> .
% 299.72/300.39  269425[5:Res:264434.1,40113.0] || equal(symmetrization_of(unordered_pair(u,ordered_pair(v,w))),identity_relation)** -> .
% 299.72/300.39  269426[5:Res:264434.1,39990.0] || equal(symmetrization_of(unordered_pair(u,unordered_pair(v,w))),identity_relation)** -> .
% 299.72/300.39  269430[5:Res:264434.1,39991.0] || equal(symmetrization_of(unordered_pair(unordered_pair(u,v),w)),identity_relation)** -> .
% 299.72/300.39  269431[5:Res:264434.1,40120.0] || equal(symmetrization_of(unordered_pair(ordered_pair(u,v),w)),identity_relation)** -> .
% 299.72/300.39  269435[5:Res:264434.1,222412.0] || equal(symmetrization_of(complement(u)),identity_relation)** -> member(omega,u).
% 299.72/300.39  269436[5:Res:264434.1,222410.0] || equal(symmetrization_of(complement(u)),identity_relation)** -> member(identity_relation,u).
% 299.72/300.39  269440[5:Res:264434.1,235499.0] || equal(symmetrization_of(complement(singleton(ordered_pair(u,v)))),identity_relation)** -> .
% 299.72/300.39  269796[5:MRR:269755.1,269755.2,53.0,5185.0] inductive(singleton(u)) ||  -> equal(apply(choice,omega),u)*.
% 299.72/300.39  120026[0:SpR:119978.0,29.0] ||  -> equal(restrict(cross_product(u,v),u,v),cross_product(u,v))**.
% 299.72/300.39  146616[0:SpR:146022.0,8337.0] ||  -> subclass(symmetric_difference(u,intersection(u,v)),complement(intersection(u,v)))*.
% 299.72/300.39  146738[0:SpR:146209.0,8337.0] ||  -> subclass(symmetric_difference(u,intersection(v,u)),complement(intersection(v,u)))*.
% 299.72/300.39  203650[5:Res:202851.1,791.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(omega,u).
% 299.72/300.39  203651[5:Res:202851.1,792.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(omega,v).
% 299.72/300.39  203708[5:Res:202851.1,40113.0] || equal(complement(complement(unordered_pair(u,ordered_pair(v,w)))),identity_relation)** -> .
% 299.72/300.39  203709[5:Res:202851.1,39990.0] || equal(complement(complement(unordered_pair(u,unordered_pair(v,w)))),identity_relation)** -> .
% 299.72/300.39  203712[5:Res:202851.1,39991.0] || equal(complement(complement(unordered_pair(unordered_pair(u,v),w))),identity_relation)** -> .
% 299.72/300.39  203713[5:Res:202851.1,40120.0] || equal(complement(complement(unordered_pair(ordered_pair(u,v),w))),identity_relation)** -> .
% 299.72/300.39  204346[5:Res:10.1,203257.1] || member(u,universal_class) equal(unordered_pair(u,v),identity_relation)** -> .
% 299.72/300.39  204347[5:Res:11.1,203257.1] || member(u,universal_class) equal(unordered_pair(v,u),identity_relation)** -> .
% 299.72/300.39  204761[5:Res:10.1,204710.1] || member(u,universal_class) subclass(unordered_pair(u,v),identity_relation)* -> .
% 299.72/300.39  204762[5:Res:11.1,204710.1] || member(u,universal_class) subclass(unordered_pair(v,u),identity_relation)* -> .
% 299.72/300.39  204891[5:AED:204775.1] || member(u,domain_of(v))* subclass(rest_of(v),identity_relation) -> .
% 299.72/300.39  205297[5:Res:205150.1,22.0] || subclass(universal_class,intersection(u,v))* -> member(power_class(identity_relation),u).
% 299.72/300.39  205298[5:Res:205150.1,23.0] || subclass(universal_class,intersection(u,v))* -> member(power_class(identity_relation),v).
% 299.72/300.39  205351[5:Res:29531.1,203295.1] || equal(singleton(not_subclass_element(u,v)),identity_relation)** -> subclass(u,v).
% 299.72/300.39  205356[5:Res:7512.1,203295.1] function(u) || equal(singleton(apply(u,v)),identity_relation)** -> .
% 299.72/300.39  205596[5:MRR:205541.2,5188.0] || equal(cantor(u),identity_relation) member(v,cantor(u))* -> .
% 299.72/300.39  206802[5:SpR:204330.1,29.0] || equal(identity_relation,u) -> equal(restrict(u,v,w),identity_relation)**.
% 299.72/300.39  206934[5:Rew:22454.0,206844.1] || equal(complement(u),identity_relation) -> equal(union(u,v),universal_class)**.
% 299.72/300.39  207123[5:Rew:22454.0,207044.1] || equal(complement(u),identity_relation) -> equal(union(v,u),universal_class)**.
% 299.72/300.39  207182[5:SpR:204745.1,29.0] || subclass(u,identity_relation) -> equal(restrict(u,v,w),identity_relation)**.
% 299.72/300.39  207307[5:Rew:22454.0,207225.1] || subclass(complement(u),identity_relation)* -> equal(union(u,v),universal_class)**.
% 299.72/300.39  207512[5:Rew:22454.0,207438.1] || subclass(complement(u),identity_relation)* -> equal(union(v,u),universal_class)**.
% 299.72/300.39  209791[17:SpR:209320.1,648.0] function(u) ||  -> member(unordered_pair(v,identity_relation),ordered_pair(v,u))*.
% 299.72/300.39  210033[17:Rew:22454.0,209754.1] function(u) ||  -> subclass(symmetric_difference(complement(u),universal_class),successor(u))*.
% 299.72/300.39  210041[17:Rew:119684.0,209755.1,22454.0,209755.1] function(u) ||  -> subclass(complement(successor(u)),symmetric_difference(universal_class,u))*.
% 299.72/300.39  210649[17:Res:209752.1,178202.1] function(u) || equal(complement(ordered_pair(u,v)),omega)** -> .
% 299.72/300.39  213897[17:Res:195387.1,16.0] || subclass(domain_relation,rotate(cross_product(u,v)))* -> member(w,v)*.
% 299.72/300.39  213999[17:Res:195388.1,16.0] || subclass(domain_relation,flip(cross_product(u,v)))* -> member(identity_relation,v).
% 299.72/300.39  214476[5:Res:201827.1,801.0] || subclass(complement(cross_product(u,v)),identity_relation)* -> member(w,v)*.
% 299.72/300.39  214482[0:Res:122840.1,801.0] || well_ordering(universal_class,complement(cross_product(u,v)))* -> member(w,v)*.
% 299.72/300.39  215092[5:Res:783.1,204710.1] || subclass(ordered_pair(u,v),w)* subclass(w,identity_relation) -> .
% 299.72/300.39  215093[5:Res:783.1,203257.1] || subclass(ordered_pair(u,v),w)* equal(identity_relation,w) -> .
% 299.72/300.39  218835[5:MRR:218799.2,5188.0] || equal(range_of(u),identity_relation) member(v,range_of(u))* -> .
% 299.72/300.39  219081[5:MRR:219018.2,5188.0] || equal(complement(u),identity_relation) member(v,complement(u))* -> .
% 299.72/300.39  219350[17:Res:195614.1,806.0] || subclass(domain_relation,cross_product(u,v))* -> member(singleton(identity_relation),u).
% 299.72/300.39  225083[5:MRR:225012.1,348.0] || equal(complement(u),identity_relation) -> member(unordered_pair(v,w),u)*.
% 299.72/300.39  226166[5:SpL:27.0,203648.0] || equal(union(u,v),identity_relation)** -> member(identity_relation,complement(u))*.
% 299.72/300.39  226801[5:SpL:27.0,203649.0] || equal(union(u,v),identity_relation)** -> member(identity_relation,complement(v))*.
% 299.72/300.39  227341[5:Rew:6791.0,227317.1] || subclass(universal_class,sum_class(u)) -> subclass(complement(sum_class(u)),identity_relation)*.
% 299.72/300.39  227372[5:Rew:6791.0,227354.1] || subclass(universal_class,inverse(u)) -> subclass(complement(inverse(u)),identity_relation)*.
% 299.72/300.39  227428[9:Res:227422.0,2.0] || subclass(symmetric_difference(inverse(identity_relation),universal_class),u)* -> member(identity_relation,u).
% 299.72/300.39  227735[5:Rew:227539.0,227695.1] || member(not_subclass_element(u,identity_relation),complement(u))* -> subclass(u,identity_relation).
% 299.72/300.39  228244[5:MRR:228116.2,5188.0] inductive(symmetric_difference(u,u)) || well_ordering(v,complement(u))* -> .
% 299.72/300.39  229001[5:SpR:118447.0,228130.0] ||  -> equal(symmetric_difference(symmetric_difference(universal_class,u),complement(union(u,identity_relation))),identity_relation)**.
% 299.72/300.39  230405[5:MRR:230362.2,203273.0] || equal(complement(u),universal_class) -> subclass(regular(complement(u)),identity_relation)*.
% 299.72/300.39  230406[5:MRR:230372.2,203287.0] || equal(inverse(u),universal_class) -> subclass(regular(inverse(u)),identity_relation)*.
% 299.72/300.39  230407[5:MRR:230382.2,203292.0] || equal(power_class(u),universal_class) -> subclass(regular(power_class(u)),identity_relation)*.
% 299.72/300.39  230408[5:MRR:230383.2,203293.0] || equal(sum_class(u),universal_class) -> subclass(regular(sum_class(u)),identity_relation)*.
% 299.72/300.39  230409[5:MRR:230384.2,203294.0] || equal(range_of(u),universal_class) -> subclass(regular(range_of(u)),identity_relation)*.
% 299.72/300.39  230505[5:Obv:230449.0] ||  -> equal(integer_of(u),identity_relation) subclass(intersection(v,singleton(u)),omega)*.
% 299.72/300.39  230513[0:Obv:230478.1] || member(u,v) -> subclass(intersection(w,singleton(u)),v)*.
% 299.72/300.39  230514[0:Obv:230448.0] ||  -> member(u,v) subclass(intersection(w,singleton(u)),complement(v))*.
% 299.72/300.39  230636[5:Obv:230574.0] ||  -> equal(integer_of(u),identity_relation) subclass(intersection(singleton(u),v),omega)*.
% 299.72/300.39  230645[0:Obv:230608.1] || member(u,v) -> subclass(intersection(singleton(u),w),v)*.
% 299.72/300.39  230646[0:Obv:230573.0] ||  -> member(u,v) subclass(intersection(singleton(u),w),complement(v))*.
% 299.72/300.39  231279[5:SpL:27.0,231267.0] || equal(intersection(complement(u),complement(v)),union(u,v))** -> .
% 299.72/300.39  232838[5:Res:202851.1,228777.0] || equal(complement(regular(unordered_pair(u,unordered_pair(v,w)))),identity_relation)** -> .
% 299.72/300.39  232957[15:MRR:232950.1,201952.0] || subclass(universal_class,u) -> equal(regular(unordered_pair(u,identity_relation)),identity_relation)**.
% 299.72/300.39  232985[15:MRR:232982.1,201952.0] || equal(u,universal_class) -> equal(regular(unordered_pair(u,identity_relation)),identity_relation)**.
% 299.72/300.39  233122[5:Obv:233118.0] ||  -> equal(intersection(singleton(u),omega),identity_relation)** equal(integer_of(u),u).
% 299.72/300.39  233162[5:Res:202851.1,228778.0] || equal(complement(regular(unordered_pair(unordered_pair(u,v),w))),identity_relation)** -> .
% 299.72/300.39  233196[5:Obv:233192.0] ||  -> equal(intersection(omega,singleton(u)),identity_relation)** equal(integer_of(u),u).
% 299.72/300.39  233226[15:MRR:233220.1,202022.0] || subclass(universal_class,u) -> equal(regular(unordered_pair(identity_relation,u)),identity_relation)**.
% 299.72/300.39  233231[15:MRR:233229.1,202022.0] || equal(u,universal_class) -> equal(regular(unordered_pair(identity_relation,u)),identity_relation)**.
% 299.72/300.39  233424[5:MRR:233372.1,201946.0] || member(u,universal_class) -> member(u,complement(singleton(singleton(u))))*.
% 299.72/300.39  233446[5:SpR:233410.0,14.0] ||  -> equal(unordered_pair(identity_relation,unordered_pair(universal_class,singleton(u))),ordered_pair(universal_class,u))**.
% 299.72/300.39  233676[15:Rew:191773.0,233500.0] ||  -> equal(segment(u,v,range_of(identity_relation)),segment(u,v,universal_class))**.
% 299.72/300.39  233621[17:Rew:233494.0,209800.1] function(u) ||  -> equal(apply(v,universal_class),apply(v,u))*.
% 299.72/300.39  233651[17:Rew:233634.0,210044.1] function(u) ||  -> equal(ordered_pair(v,universal_class),ordered_pair(v,u))*.
% 299.72/300.39  233653[15:Rew:233634.0,191762.0] ||  -> equal(unordered_pair(singleton(u),unordered_pair(u,identity_relation)),ordered_pair(u,universal_class))**.
% 299.72/300.39  233685[15:Rew:233676.0,191773.0] ||  -> equal(domain_of(restrict(u,v,identity_relation)),segment(u,v,universal_class))**.
% 299.72/300.39  233711[15:Rew:191767.0,233487.0] ||  -> equal(range__dfg(u,range_of(identity_relation),v),range__dfg(u,universal_class,v))**.
% 299.72/300.39  233722[15:Rew:191774.0,233501.0] ||  -> equal(domain__dfg(u,v,range_of(identity_relation)),domain__dfg(u,v,universal_class))**.
% 299.72/300.39  234005[7:Res:233415.0,2.0] || subclass(complement(singleton(singleton(identity_relation))),u)* -> member(identity_relation,u).
% 299.72/300.39  234204[17:MRR:234179.1,641.0] || subclass(domain_relation,rotate(u)) subclass(domain_relation,complement(u))* -> .
% 299.72/300.39  234205[17:MRR:234192.1,641.0] || subclass(domain_relation,flip(u)) subclass(domain_relation,complement(u))* -> .
% 299.72/300.39  235340[15:SpL:233634.0,20.0] || member(ordered_pair(u,universal_class),element_relation)* -> member(u,range_of(identity_relation)).
% 299.72/300.39  235481[5:SpR:647.0,233421.0] ||  -> member(singleton(singleton(u)),complement(singleton(singleton(singleton(singleton(u))))))*.
% 299.72/300.39  235490[17:SpR:209320.1,233421.0] function(u) ||  -> member(identity_relation,complement(singleton(ordered_pair(u,v))))*.
% 299.72/300.39  235696[0:Res:20387.1,16.0] || subclass(rest_relation,rotate(cross_product(u,v)))* -> member(w,v)*.
% 299.72/300.39  235719[5:Res:20387.1,153534.1] || subclass(rest_relation,rotate(u))* equal(complement(u),universal_class) -> .
% 299.72/300.39  235727[17:MRR:235714.1,641.0] || subclass(rest_relation,rotate(u)) subclass(domain_relation,complement(u))* -> .
% 299.72/300.39  235829[5:Res:20388.1,153534.1] || subclass(rest_relation,flip(u))* equal(complement(u),universal_class) -> .
% 299.72/300.39  235857[5:SpL:647.0,235506.0] || member(singleton(singleton(u)),singleton(singleton(singleton(singleton(u)))))* -> .
% 299.72/300.39  235865[17:SpL:209320.1,235506.0] function(u) || member(identity_relation,singleton(ordered_pair(u,v)))* -> .
% 299.72/300.39  237012[5:Res:202851.1,235499.0] || equal(complement(complement(complement(singleton(ordered_pair(u,v))))),identity_relation)** -> .
% 299.72/300.39  237070[5:Res:153612.1,237055.1] || equal(complement(u),universal_class)** equal(rotate(u),rest_relation) -> .
% 299.72/300.39  237096[5:Res:153612.1,237063.1] || equal(complement(u),universal_class)** equal(flip(u),rest_relation) -> .
% 299.72/300.39  237166[5:MRR:237150.2,202179.0] || equal(singleton(u),v)* equal(complement(v),identity_relation)** -> .
% 299.72/300.39  237168[5:MRR:237147.2,203268.0] || equal(unordered_pair(u,v),w)* subclass(universal_class,w)* -> .
% 299.72/300.39  237210[5:Res:202851.1,232830.0] || equal(complement(regular(unordered_pair(u,ordered_pair(v,w)))),identity_relation)** -> .
% 299.72/300.39  237211[5:MRR:237206.2,203267.0] || equal(ordered_pair(u,v),w)* subclass(universal_class,w)* -> .
% 299.72/300.39  237220[5:MRR:237219.2,203268.0] || equal(unordered_pair(u,v),w)* equal(w,universal_class) -> .
% 299.72/300.39  237237[5:Res:202851.1,233155.0] || equal(complement(regular(unordered_pair(ordered_pair(u,v),w))),identity_relation)** -> .
% 299.72/300.39  237604[5:SpR:160.0,237395.0] ||  -> equal(intersection(complement(union(u,v)),symmetric_difference(u,v)),identity_relation)**.
% 299.72/300.39  237605[5:SpR:932.0,237395.0] ||  -> equal(intersection(complement(successor(u)),symmetric_difference(u,singleton(u))),identity_relation)**.
% 299.72/300.39  237606[5:SpR:931.0,237395.0] ||  -> equal(intersection(complement(symmetrization_of(u)),symmetric_difference(u,inverse(u))),identity_relation)**.
% 299.72/300.39  238301[5:SpR:145868.1,237985.0] || subclass(u,v) -> equal(intersection(complement(v),u),identity_relation)**.
% 299.72/300.39  239031[5:SpR:160.0,238781.0] ||  -> equal(intersection(symmetric_difference(u,v),complement(union(u,v))),identity_relation)**.
% 299.72/300.39  239032[5:SpR:932.0,238781.0] ||  -> equal(intersection(symmetric_difference(u,singleton(u)),complement(successor(u))),identity_relation)**.
% 299.72/300.39  239033[5:SpR:931.0,238781.0] ||  -> equal(intersection(symmetric_difference(u,inverse(u)),complement(symmetrization_of(u))),identity_relation)**.
% 299.72/300.39  239935[5:SpR:145868.1,239572.0] || subclass(u,v) -> equal(intersection(u,complement(v)),identity_relation)**.
% 299.72/300.39  241548[5:MRR:241431.1,6491.0] || subclass(cross_product(universal_class,universal_class),u)* -> member(regular(domain_relation),u).
% 299.72/300.39  241549[5:MRR:241435.1,23792.0] || subclass(cross_product(universal_class,universal_class),u)* -> member(regular(rest_relation),u).
% 299.72/300.39  241550[8:MRR:241438.1,164469.0] || subclass(cross_product(universal_class,universal_class),u)* -> member(regular(successor_relation),u).
% 299.72/300.39  241551[13:MRR:241439.1,173144.0] || subclass(cross_product(universal_class,universal_class),u)* -> member(regular(element_relation),u).
% 299.72/300.39  241969[5:MRR:241968.2,203267.0] || equal(ordered_pair(u,v),w)* equal(w,universal_class) -> .
% 299.72/300.39  242114[5:Rew:5299.0,242079.0] ||  -> equal(segment(complement(cross_product(u,singleton(v))),u,v),identity_relation)**.
% 299.72/300.39  242169[15:MRR:242139.2,191661.0] function(complement(cross_product(u,universal_class))) || member(u,universal_class)* -> .
% 299.72/300.39  247914[0:MRR:247899.1,29469.1] || member(u,rest_of(u))* subclass(rest_relation,complement(element_relation)) -> .
% 299.72/300.39  247917[17:MRR:247900.1,641.0] || subclass(domain_relation,rotate(u))* subclass(rest_relation,complement(u)) -> .
% 299.72/300.39  247918[0:MRR:247901.1,641.0] || subclass(rest_relation,flip(u)) subclass(rest_relation,complement(u))* -> .
% 299.72/300.39  248258[7:SpR:580.0,248247.0] ||  -> member(identity_relation,complement(intersection(union(u,v),complement(singleton(identity_relation)))))*.
% 299.72/300.39  248263[7:Res:248247.0,2.0] || subclass(union(u,singleton(identity_relation)),v)* -> member(identity_relation,v).
% 299.72/300.39  248660[7:SpL:30.0,248193.0] || subclass(singleton(identity_relation),restrict(complement(singleton(identity_relation)),u,v))* -> .
% 299.72/300.39  248689[7:SpL:30.0,248238.0] || equal(complement(restrict(complement(singleton(identity_relation)),u,v)),identity_relation)** -> .
% 299.72/300.39  248760[7:SpL:30.0,248241.0] || equal(restrict(complement(singleton(identity_relation)),u,v),singleton(identity_relation))** -> .
% 299.72/300.39  249121[20:SpL:30.0,249089.0] || subclass(symmetrization_of(identity_relation),restrict(complement(inverse(identity_relation)),u,v))* -> .
% 299.72/300.39  249149[20:SpL:30.0,249133.0] || equal(restrict(complement(inverse(identity_relation)),u,v),symmetrization_of(identity_relation))** -> .
% 299.72/300.39  249274[0:Rew:249197.0,162687.0] ||  -> member(u,complement(power_class(v)))* subclass(singleton(u),power_class(v)).
% 299.72/300.39  249475[5:Rew:249197.0,238999.0] ||  -> equal(intersection(intersection(u,complement(power_class(v))),power_class(v)),identity_relation)**.
% 299.72/300.39  249543[7:Rew:249197.0,176869.1] || well_ordering(universal_class,power_class(u)) -> member(identity_relation,complement(power_class(u)))*.
% 299.72/300.39  249834[5:Rew:249197.0,231291.0] || equal(image(element_relation,power_class(u)),power_class(complement(power_class(u))))** -> .
% 299.72/300.39  249869[5:Rew:249197.0,124830.0] ||  -> equal(symmetric_difference(universal_class,complement(power_class(u))),intersection(power_class(u),universal_class))**.
% 299.72/300.39  250197[5:Rew:249197.0,238359.0] ||  -> equal(intersection(power_class(u),intersection(complement(power_class(u)),v)),identity_relation)**.
% 299.72/300.39  250199[5:Rew:249197.0,239911.0] ||  -> equal(intersection(intersection(complement(power_class(u)),v),power_class(u)),identity_relation)**.
% 299.72/300.39  250215[5:Rew:249197.0,201782.0] || subclass(complement(power_class(u)),identity_relation)* -> subclass(universal_class,power_class(u)).
% 299.72/300.39  250237[5:Rew:249197.0,237650.0] ||  -> equal(intersection(power_class(u),intersection(v,complement(power_class(u)))),identity_relation)**.
% 299.72/300.39  251313[5:SpL:249204.0,203703.0] || equal(power_class(u),identity_relation) subclass(domain_relation,power_class(u))* -> .
% 299.72/300.39  251340[3:SpL:249204.0,3957.1] inductive(complement(power_class(u))) || equal(power_class(u),universal_class)** -> .
% 299.72/300.39  251379[14:SpL:249204.0,178302.1] inductive(complement(power_class(u))) || equal(power_class(u),omega)** -> .
% 299.72/300.39  251458[15:MRR:251457.2,191629.0] single_valued_class(complement(power_class(u))) || equal(power_class(u),universal_class)** -> .
% 299.72/300.39  251510[11:SpL:203228.1,251503.0] || equal(identity_relation,u) subclass(complement(power_class(u)),identity_relation)* -> .
% 299.72/300.39  251760[0:SpR:249204.0,249197.0] ||  -> equal(complement(power_class(complement(power_class(u)))),image(element_relation,power_class(u)))**.
% 299.72/300.39  251781[10:Rew:251767.0,221761.0] || equal(u,complement(power_class(universal_class)))* well_ordering(universal_class,u)* -> .
% 299.72/300.39  251783[10:Rew:251767.0,214819.0] || subclass(complement(power_class(universal_class)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.39  251957[11:Rew:251768.0,221690.0] || equal(u,complement(power_class(identity_relation)))* well_ordering(universal_class,u)* -> .
% 299.72/300.39  251959[11:Rew:251768.0,214817.0] || subclass(complement(power_class(identity_relation)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.39  252967[11:SpL:203228.1,251978.0] || equal(identity_relation,u) well_ordering(universal_class,complement(power_class(u)))* -> .
% 299.72/300.39  254794[7:SpL:145868.1,254684.0] || subclass(u,complement(singleton(identity_relation)))* member(identity_relation,u) -> .
% 299.72/300.39  254824[7:SpR:581.0,254817.0] ||  -> member(identity_relation,complement(intersection(complement(singleton(identity_relation)),union(u,v))))*.
% 299.72/300.39  254834[7:Res:254817.0,2.0] || subclass(union(singleton(identity_relation),u),v)* -> member(identity_relation,v).
% 299.72/300.39  254845[7:Res:254821.0,3924.0] || subclass(successor(singleton(identity_relation)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.39  254860[7:Res:254823.0,3924.0] || subclass(symmetrization_of(singleton(identity_relation)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.39  255231[14:SpL:145868.1,254808.0] || subclass(u,complement(singleton(identity_relation)))* equal(u,omega) -> .
% 299.72/300.39  255259[14:SpL:145868.1,254809.0] || subclass(u,complement(singleton(identity_relation)))* subclass(omega,u) -> .
% 299.72/300.39  255293[7:SpL:145868.1,254811.0] || subclass(u,complement(singleton(identity_relation)))* equal(u,universal_class) -> .
% 299.72/300.39  255423[7:SpL:145868.1,254812.0] || subclass(u,complement(singleton(identity_relation)))* subclass(universal_class,u) -> .
% 299.72/300.39  256431[5:MRR:256366.0,16080.1] || subclass(rest_relation,rest_of(u))* -> equal(singleton(domain_of(u)),identity_relation).
% 299.72/300.39  256434[17:MRR:256379.2,202145.0] || member(u,universal_class) subclass(domain_relation,ordered_pair(u,identity_relation))* -> .
% 299.72/300.39  257303[5:Res:45819.1,256417.0] || subclass(omega,cantor(u))* -> equal(integer_of(domain_of(u)),identity_relation).
% 299.72/300.39  257527[5:MRR:257409.1,46044.0] || member(u,universal_class) -> member(u,regular(ordered_pair(u,v)))*.
% 299.72/300.39  257664[5:Res:202851.1,256425.1] || equal(complement(power_class(u)),identity_relation)** member(u,universal_class) -> .
% 299.72/300.39  257675[5:Res:202851.1,256426.1] || equal(complement(sum_class(u)),identity_relation)** member(u,universal_class) -> .
% 299.72/300.39  257851[5:Res:205098.1,257663.1] || equal(identity_relation,u) equal(power_class(power_class(u)),universal_class)** -> .
% 299.72/300.39  257852[5:Res:57.1,257663.1] || member(u,universal_class) equal(power_class(power_class(u)),universal_class)** -> .
% 299.72/300.39  257854[5:Res:29531.1,257663.1] || equal(power_class(not_subclass_element(u,v)),universal_class)** -> subclass(u,v).
% 299.72/300.39  257856[5:Res:55.1,257663.1] || member(u,universal_class) equal(power_class(sum_class(u)),universal_class)** -> .
% 299.72/300.39  257858[5:Res:7512.1,257663.1] function(u) || equal(power_class(apply(u,v)),universal_class)** -> .
% 299.72/300.39  257863[5:Res:226257.1,257663.1] || member(u,universal_class) equal(power_class(rest_of(u)),universal_class)** -> .
% 299.72/300.39  258416[5:Res:205098.1,257674.1] || equal(identity_relation,u) equal(sum_class(power_class(u)),universal_class)** -> .
% 299.72/300.39  258417[5:Res:57.1,257674.1] || member(u,universal_class) equal(sum_class(power_class(u)),universal_class)** -> .
% 299.72/300.39  258419[5:Res:29531.1,257674.1] || equal(sum_class(not_subclass_element(u,v)),universal_class)** -> subclass(u,v).
% 299.72/300.39  258421[5:Res:55.1,257674.1] || member(u,universal_class) equal(sum_class(sum_class(u)),universal_class)** -> .
% 299.72/300.39  258423[5:Res:7512.1,257674.1] function(u) || equal(sum_class(apply(u,v)),universal_class)** -> .
% 299.72/300.39  258428[5:Res:226257.1,257674.1] || member(u,universal_class) equal(sum_class(rest_of(u)),universal_class)** -> .
% 299.72/300.39  259035[5:Res:163531.1,256317.0] || equal(power_class(u),universal_class) -> equal(singleton(power_class(u)),identity_relation)**.
% 299.72/300.39  259036[5:Res:146432.1,256317.0] || equal(sum_class(u),universal_class) -> equal(singleton(sum_class(u)),identity_relation)**.
% 299.72/300.39  259038[5:Res:150282.1,256317.0] || equal(range_of(u),universal_class) -> equal(singleton(range_of(u)),identity_relation)**.
% 299.72/300.39  259040[5:Res:162500.1,256317.0] || equal(complement(u),universal_class) -> equal(singleton(complement(u)),identity_relation)**.
% 299.72/300.39  259041[5:Res:146436.1,256317.0] || equal(inverse(u),universal_class) -> equal(singleton(inverse(u)),identity_relation)**.
% 299.72/300.39  259184[7:Res:259157.0,3924.0] || subclass(complement(singleton(identity_relation)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.39  259187[7:Res:259157.0,2.0] || subclass(complement(singleton(identity_relation)),u)* -> member(singleton(identity_relation),u).
% 299.72/300.39  260482[0:SpR:30.0,260367.1] || subclass(u,v) -> subclass(restrict(u,w,x),v)*.
% 299.72/300.39  260658[5:Res:260484.1,256182.0] || subclass(universal_class,regular(cantor(u)))* -> equal(cantor(u),identity_relation).
% 299.72/300.39  260664[5:Res:260484.1,113722.0] || subclass(universal_class,complement(cantor(u)))* -> equal(cantor(u),identity_relation).
% 299.72/300.39  261048[0:SpR:29.0,260940.0] ||  -> subclass(intersection(u,restrict(v,w,x)),cross_product(w,x))*.
% 299.72/300.39  261145[5:Res:260940.0,5229.1] inductive(intersection(u,intersection(v,w))) ||  -> member(identity_relation,w)*.
% 299.72/300.39  261148[0:Res:260940.0,79033.0] ||  -> subclass(intersection(u,intersection(v,cantor(inverse(w)))),range_of(w))*.
% 299.72/300.39  261633[5:SpR:22914.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(complement(v),universal_class)),union(v,identity_relation))*.
% 299.72/300.39  261635[0:SpR:160.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(v,w)),complement(intersection(v,w)))*.
% 299.72/300.39  261715[5:Res:261510.0,5229.1] inductive(intersection(u,intersection(v,w))) ||  -> member(identity_relation,v)*.
% 299.72/300.39  261718[0:Res:261510.0,79033.0] ||  -> subclass(intersection(u,intersection(cantor(inverse(v)),w)),range_of(v))*.
% 299.72/300.39  262118[5:SpR:118447.0,261657.0] ||  -> subclass(intersection(u,complement(union(v,identity_relation))),symmetric_difference(universal_class,v))*.
% 299.72/300.39  262162[5:Res:261657.0,5229.1] inductive(intersection(u,complement(complement(v)))) ||  -> member(identity_relation,v)*.
% 299.72/300.39  262165[0:Res:261657.0,79033.0] ||  -> subclass(intersection(u,complement(complement(cantor(inverse(v))))),range_of(v))*.
% 299.72/300.39  262523[0:SpR:29.0,262411.0] ||  -> subclass(intersection(restrict(u,v,w),x),cross_product(v,w))*.
% 299.72/300.39  262606[5:SpR:222407.1,262411.0] || equal(complement(intersection(u,v)),identity_relation)** -> subclass(universal_class,v).
% 299.72/300.39  262621[5:Res:262411.0,5229.1] inductive(intersection(intersection(u,v),w)) ||  -> member(identity_relation,v)*.
% 299.72/300.39  262624[0:Res:262411.0,79033.0] ||  -> subclass(intersection(intersection(u,cantor(inverse(v))),w),range_of(v))*.
% 299.72/300.39  262725[0:SpR:29.0,262607.0] ||  -> subclass(complement(complement(restrict(u,v,w))),cross_product(v,w))*.
% 299.72/300.39  262797[5:SpR:122711.0,262607.0] ||  -> subclass(complement(union(u,symmetric_difference(universal_class,v))),union(v,identity_relation))*.
% 299.72/300.39  262808[5:Res:262607.0,5229.1] inductive(complement(complement(intersection(u,v)))) ||  -> member(identity_relation,v)*.
% 299.72/300.39  262811[0:Res:262607.0,79033.0] ||  -> subclass(complement(complement(intersection(u,cantor(inverse(v))))),range_of(v))*.
% 299.72/300.39  263256[5:SpR:202351.1,262795.0] || equal(union(u,v),identity_relation)** -> subclass(universal_class,complement(v))*.
% 299.72/300.39  263263[5:Res:262795.0,5229.1] inductive(complement(union(u,v))) ||  -> member(identity_relation,complement(v))*.
% 299.72/300.39  263313[5:SpR:202351.1,263232.0] || equal(successor(u),identity_relation) -> subclass(universal_class,complement(singleton(u)))*.
% 299.72/300.39  263320[5:Res:263232.0,5229.1] inductive(complement(successor(u))) ||  -> member(identity_relation,complement(singleton(u)))*.
% 299.72/300.39  263345[5:SpR:202351.1,263234.0] || equal(symmetrization_of(u),identity_relation) -> subclass(universal_class,complement(inverse(u)))*.
% 299.72/300.39  263352[5:Res:263234.0,5229.1] inductive(complement(symmetrization_of(u))) ||  -> member(identity_relation,complement(inverse(u)))*.
% 299.72/300.39  263381[5:SpR:22914.0,263102.0] ||  -> subclass(intersection(symmetric_difference(complement(u),universal_class),v),union(u,identity_relation))*.
% 299.72/300.39  263383[0:SpR:160.0,263102.0] ||  -> subclass(intersection(symmetric_difference(u,v),w),complement(intersection(u,v)))*.
% 299.72/300.39  263449[5:SpR:222407.1,263102.0] || equal(complement(intersection(u,v)),identity_relation)** -> subclass(universal_class,u).
% 299.72/300.39  263464[5:Res:263102.0,5229.1] inductive(intersection(intersection(u,v),w)) ||  -> member(identity_relation,u)*.
% 299.72/300.39  263467[0:Res:263102.0,79033.0] ||  -> subclass(intersection(intersection(cantor(inverse(u)),v),w),range_of(u))*.
% 299.72/300.39  263705[5:SpR:118447.0,263405.0] ||  -> subclass(intersection(complement(union(u,identity_relation)),v),symmetric_difference(universal_class,u))*.
% 299.72/300.39  263737[5:SpR:222407.1,263405.0] || equal(complement(complement(complement(u))),identity_relation)** -> subclass(universal_class,u).
% 299.72/300.39  263753[5:Res:263405.0,5229.1] inductive(intersection(complement(complement(u)),v)) ||  -> member(identity_relation,u)*.
% 299.72/300.39  263756[0:Res:263405.0,79033.0] ||  -> subclass(intersection(complement(complement(cantor(inverse(u)))),v),range_of(u))*.
% 299.72/300.39  263905[5:SpR:118447.0,263745.0] ||  -> subclass(complement(complement(complement(union(u,identity_relation)))),symmetric_difference(universal_class,u))*.
% 299.72/300.39  263933[5:Res:263745.0,5229.1] inductive(complement(complement(complement(complement(u))))) ||  -> member(identity_relation,u)*.
% 299.72/300.39  263936[0:Res:263745.0,79033.0] ||  -> subclass(complement(complement(complement(complement(cantor(inverse(u)))))),range_of(u))*.
% 299.72/300.39  264034[5:SpR:22914.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(complement(u),universal_class))),union(u,identity_relation))*.
% 299.72/300.39  264036[0:SpR:160.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(u,v))),complement(intersection(u,v)))*.
% 299.72/300.39  264090[5:SpR:122708.0,263450.0] ||  -> subclass(complement(union(symmetric_difference(universal_class,u),v)),union(u,identity_relation))*.
% 299.72/300.39  264102[5:Res:263450.0,5229.1] inductive(complement(complement(intersection(u,v)))) ||  -> member(identity_relation,u)*.
% 299.72/300.39  264105[0:Res:263450.0,79033.0] ||  -> subclass(complement(complement(intersection(cantor(inverse(u)),v))),range_of(u))*.
% 299.72/300.39  264316[5:SpR:202351.1,264089.0] || equal(union(u,v),identity_relation)** -> subclass(universal_class,complement(u))*.
% 299.72/300.39  264323[5:Res:264089.0,5229.1] inductive(complement(union(u,v))) ||  -> member(identity_relation,complement(u))*.
% 299.72/300.39  264874[5:SpR:145868.1,263389.0] || subclass(u,symmetric_difference(universal_class,v))* -> subclass(u,complement(v)).
% 299.72/300.39  264944[5:Res:263560.1,256433.0] || equal(complement(not_subclass_element(u,v)),identity_relation)** -> subclass(u,v).
% 299.72/300.39  265086[17:Res:263560.1,213921.0] || equal(complement(rotate(u)),identity_relation)** equal(identity_relation,u) -> .
% 299.72/300.39  265087[17:Res:263560.1,213920.0] || equal(complement(rotate(u)),identity_relation)** subclass(u,identity_relation) -> .
% 299.72/300.39  265092[17:Res:263560.1,256436.0] || equal(complement(rotate(ordered_pair(ordered_pair(u,identity_relation),v))),identity_relation)** -> .
% 299.72/300.39  265096[17:Res:263560.1,214014.0] || equal(complement(flip(u)),identity_relation)** equal(identity_relation,u) -> .
% 299.72/300.39  265097[17:Res:263560.1,214013.0] || equal(complement(flip(u)),identity_relation)** subclass(u,identity_relation) -> .
% 299.72/300.39  265100[17:Res:263560.1,256437.0] || equal(complement(flip(ordered_pair(ordered_pair(u,v),identity_relation))),identity_relation)** -> .
% 299.72/300.39  265101[17:Res:263560.1,257702.0] || equal(complement(flip(ordered_pair(singleton(singleton(identity_relation)),identity_relation))),identity_relation)** -> .
% 299.72/300.39  265815[5:SpR:124149.0,262147.0] ||  -> subclass(restrict(complement(symmetrization_of(identity_relation)),u,v),complement(inverse(identity_relation)))*.
% 299.72/300.39  266088[0:SpR:160.0,261130.0] ||  -> subclass(restrict(symmetric_difference(u,v),w,x),union(u,v))*.
% 299.72/300.39  266089[0:SpR:932.0,261130.0] ||  -> subclass(restrict(symmetric_difference(u,singleton(u)),v,w),successor(u))*.
% 299.72/300.39  266090[0:SpR:931.0,261130.0] ||  -> subclass(restrict(symmetric_difference(u,inverse(u)),v,w),symmetrization_of(u))*.
% 299.72/300.39  266513[0:SpR:145868.1,262535.0] || subclass(u,restrict(v,w,x))* -> subclass(u,v).
% 299.72/300.39  267194[7:Rew:189445.0,267191.0] || equal(complement(intersection(union(u,v),singleton(identity_relation))),identity_relation)** -> .
% 299.72/300.39  267335[7:Rew:189445.0,267325.0] || equal(complement(intersection(singleton(identity_relation),union(u,v))),identity_relation)** -> .
% 299.72/300.39  267406[20:SpL:30.0,265413.0] || equal(complement(restrict(complement(inverse(identity_relation)),u,v)),identity_relation)** -> .
% 299.72/300.39  267524[22:Res:153612.1,267519.0] || equal(complement(compose(identity_relation,identity_relation)),universal_class)** -> transitive(universal_class,u)*.
% 299.72/300.39  267540[5:Res:262147.0,263650.0] ||  -> subclass(restrict(complement(complement(symmetrization_of(identity_relation))),u,v),inverse(identity_relation))*.
% 299.72/300.39  267541[5:Res:261700.0,263650.0] ||  -> subclass(restrict(intersection(symmetrization_of(identity_relation),u),v,w),inverse(identity_relation))*.
% 299.72/300.39  267547[5:Res:4733.1,263650.0] || member(u,symmetrization_of(identity_relation)) -> subclass(singleton(u),inverse(identity_relation))*.
% 299.72/300.39  267552[5:Res:261130.0,263650.0] ||  -> subclass(restrict(intersection(u,symmetrization_of(identity_relation)),v,w),inverse(identity_relation))*.
% 299.72/300.39  267562[5:Res:262737.0,263650.0] ||  -> subclass(complement(complement(restrict(symmetrization_of(identity_relation),u,v))),inverse(identity_relation))*.
% 299.72/300.39  267569[5:Res:261060.0,263650.0] ||  -> subclass(intersection(u,restrict(symmetrization_of(identity_relation),v,w)),inverse(identity_relation))*.
% 299.72/300.39  267575[5:Res:262535.0,263650.0] ||  -> subclass(intersection(restrict(symmetrization_of(identity_relation),u,v),w),inverse(identity_relation))*.
% 299.72/300.39  267589[22:MRR:267584.1,5184.0] || equal(compose_class(identity_relation),domain_relation) -> equal(cross_product(u,u),identity_relation)**.
% 299.72/300.39  267915[9:SpL:145868.1,267897.0] || subclass(u,symmetrization_of(identity_relation))* equal(complement(u),identity_relation) -> .
% 299.72/300.39  268176[9:SpL:30.0,267845.0] || equal(complement(complement(restrict(symmetrization_of(identity_relation),u,v))),universal_class)** -> .
% 299.72/300.39  268289[15:SpR:191737.0,263822.0] ||  -> subclass(symmetric_difference(universal_class,successor(range_of(identity_relation))),symmetric_difference(universal_class,range_of(identity_relation)))*.
% 299.72/300.39  268413[15:SpR:191737.0,264364.0] ||  -> subclass(complement(successor(symmetric_difference(universal_class,range_of(identity_relation)))),successor(range_of(identity_relation)))*.
% 299.72/300.39  268523[5:Res:264384.1,146252.0] || equal(successor(u),identity_relation) -> equal(symmetric_difference(universal_class,u),universal_class)**.
% 299.72/300.39  268542[5:Res:264384.1,218119.0] || equal(successor(complement(u)),identity_relation) -> member(power_class(identity_relation),u)*.
% 299.72/300.39  268545[5:Res:264384.1,3634.0] || equal(successor(complement(u)),identity_relation) -> member(singleton(v),u)*.
% 299.72/300.39  268547[5:Res:264384.1,236998.0] || equal(successor(complement(singleton(singleton(singleton(singleton(u)))))),identity_relation)** -> .
% 299.72/300.39  268549[14:Res:264384.1,190318.1] || equal(successor(element_relation),identity_relation) equal(rest_of(identity_relation),omega)** -> .
% 299.72/300.39  268550[5:Res:264384.1,218089.0] || equal(successor(omega),identity_relation) -> equal(integer_of(power_class(identity_relation)),identity_relation)**.
% 299.72/300.39  268551[5:Res:264384.1,5261.0] || equal(successor(omega),identity_relation) -> equal(integer_of(singleton(u)),identity_relation)**.
% 299.72/300.39  269292[5:SoR:264391.0,166138.1] || equal(complement(successor(u)),universal_class) -> member(identity_relation,complement(u))*.
% 299.72/300.39  269302[15:SpR:191737.0,264418.0] ||  -> subclass(complement(symmetrization_of(symmetric_difference(universal_class,range_of(identity_relation)))),successor(range_of(identity_relation)))*.
% 299.72/300.39  269415[5:Res:264434.1,146252.0] || equal(symmetrization_of(u),identity_relation) -> equal(symmetric_difference(universal_class,u),universal_class)**.
% 299.72/300.39  269434[5:Res:264434.1,218119.0] || equal(symmetrization_of(complement(u)),identity_relation) -> member(power_class(identity_relation),u)*.
% 299.72/300.39  269437[5:Res:264434.1,3634.0] || equal(symmetrization_of(complement(u)),identity_relation) -> member(singleton(v),u)*.
% 299.72/300.39  269439[5:Res:264434.1,236998.0] || equal(symmetrization_of(complement(singleton(singleton(singleton(singleton(u)))))),identity_relation)** -> .
% 299.72/300.39  269441[14:Res:264434.1,190318.1] || equal(symmetrization_of(element_relation),identity_relation) equal(rest_of(identity_relation),omega)** -> .
% 299.72/300.39  269442[5:Res:264434.1,218089.0] || equal(symmetrization_of(omega),identity_relation) -> equal(integer_of(power_class(identity_relation)),identity_relation)**.
% 299.72/300.39  269443[5:Res:264434.1,5261.0] || equal(symmetrization_of(omega),identity_relation) -> equal(integer_of(singleton(u)),identity_relation)**.
% 299.72/300.39  270439[5:SoR:264441.0,166138.1] || equal(complement(symmetrization_of(u)),universal_class) -> member(identity_relation,complement(u))*.
% 299.72/300.39  1026[0:Res:779.1,22.0] || subclass(universal_class,intersection(u,v))* -> member(ordered_pair(w,x),u)*.
% 299.72/300.39  1027[0:Res:779.1,23.0] || subclass(universal_class,intersection(u,v))* -> member(ordered_pair(w,x),v)*.
% 299.72/300.39  12379[5:SpR:6539.1,6539.1] function(u) function(v) ||  -> equal(single_valued2(u),single_valued2(v))*.
% 299.72/300.39  1025[0:Res:779.1,25.1] || subclass(universal_class,complement(u)) member(ordered_pair(v,w),u)* -> .
% 299.72/300.39  47731[0:Res:783.1,1002.1] || subclass(ordered_pair(u,v),w)* subclass(universal_class,complement(w)) -> .
% 299.72/300.39  8259[0:Res:8231.0,8.0] || subclass(u,intersection(v,u))* -> equal(intersection(v,u),u).
% 299.72/300.39  8353[0:Res:8325.0,8.0] || subclass(u,intersection(u,v))* -> equal(intersection(u,v),u).
% 299.72/300.39  6573[5:SpR:6571.1,6548.1] single_valued_class(u) function(v) ||  -> equal(single_valued1(u),single_valued1(v))*.
% 299.72/300.39  12384[5:SpR:6563.1,6539.1] single_valued_class(u) function(v) ||  -> equal(single_valued2(u),single_valued2(v))*.
% 299.72/300.39  6572[5:SpR:6571.1,6571.1] single_valued_class(u) single_valued_class(v) ||  -> equal(single_valued1(u),single_valued1(v))*.
% 299.72/300.39  12383[5:SpR:6563.1,6563.1] single_valued_class(u) single_valued_class(v) ||  -> equal(single_valued2(u),single_valued2(v))*.
% 299.72/300.39  118172[0:Obv:118114.1] || member(u,v) -> subclass(singleton(u),intersection(v,singleton(u)))*.
% 299.72/300.39  46122[0:Res:3780.1,801.0] || equal(complement(complement(cross_product(u,v))),universal_class)** -> member(w,v)*.
% 299.72/300.39  29601[5:Res:6971.1,29469.0] || member(cross_product(universal_class,universal_class),universal_class) -> member(least(element_relation,domain_relation),universal_class)*.
% 299.72/300.39  955[0:SpL:160.0,792.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(omega,union(u,v))*.
% 299.72/300.39  983[0:SpL:160.0,961.0] || equal(symmetric_difference(u,v),universal_class) -> member(omega,union(u,v))*.
% 299.72/300.39  47709[0:Res:47673.0,8.0] || subclass(u,complement(complement(u)))* -> equal(complement(complement(u)),u).
% 299.72/300.39  40269[0:MRR:40221.0,641.0] || subclass(universal_class,complement(complement(u))) -> member(ordered_pair(v,w),u)*.
% 299.72/300.39  124037[0:Res:761.1,8898.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(omega,successor(u)).
% 299.72/300.39  124836[5:SpL:119684.0,817.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(singleton(v),complement(u))*.
% 299.72/300.39  124840[5:SpL:119684.0,4131.0] || equal(symmetric_difference(universal_class,u),universal_class) -> member(singleton(v),complement(u))*.
% 299.72/300.39  126342[0:MRR:126330.0,53.0] || equal(complement(union(u,v)),universal_class)** -> member(omega,complement(v)).
% 299.72/300.39  126343[0:MRR:126331.0,53.0] || equal(complement(union(u,v)),universal_class)** -> member(omega,complement(u)).
% 299.72/300.39  39992[0:MRR:39970.0,12.0] || subclass(universal_class,complement(complement(u))) -> member(unordered_pair(v,w),u)*.
% 299.72/300.39  40999[0:Res:7.1,1004.0] || equal(intersection(u,v),universal_class)** -> member(unordered_pair(w,x),v)*.
% 299.72/300.39  40960[0:Res:7.1,1003.0] || equal(intersection(u,v),universal_class)** -> member(unordered_pair(w,x),u)*.
% 299.72/300.39  32893[5:Res:3.1,29473.0] ||  -> subclass(domain_of(u),v) member(not_subclass_element(domain_of(u),v),cantor(u))*.
% 299.72/300.39  8328[5:Rew:6871.0,8296.0] ||  -> subclass(cantor(u),v) member(not_subclass_element(cantor(u),v),domain_of(u))*.
% 299.72/300.39  8641[0:Res:8246.0,2957.1] single_valued_class(restrict(u,universal_class,universal_class)) ||  -> function(restrict(u,universal_class,universal_class))*.
% 299.72/300.39  8607[0:SpR:30.0,8337.0] ||  -> subclass(symmetric_difference(cross_product(u,v),w),complement(restrict(w,u,v)))*.
% 299.72/300.39  8604[0:SpR:29.0,8337.0] ||  -> subclass(symmetric_difference(u,cross_product(v,w)),complement(restrict(u,v,w)))*.
% 299.72/300.39  820[0:Res:763.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(singleton(x),u)*.
% 299.72/300.39  4198[0:SpL:29.0,4131.0] || equal(restrict(u,v,w),universal_class)** -> member(singleton(x),u)*.
% 299.72/300.39  8359[5:SpR:123.0,8346.0] ||  -> subclass(cantor(restrict(u,v,singleton(w))),segment(u,v,w))*.
% 299.72/300.39  40270[0:AED:40234.1] || member(u,domain_of(v))* subclass(universal_class,complement(rest_of(v)))*+ -> .
% 299.72/300.39  40265[5:Res:28844.1,1025.1] || subclass(domain_relation,cantor(u)) subclass(universal_class,complement(domain_of(u)))* -> .
% 299.72/300.39  37924[5:Res:28844.1,6463.1] || subclass(domain_relation,cantor(u)) subclass(domain_relation,complement(domain_of(u)))* -> .
% 299.72/300.39  38713[5:Res:7.1,37924.1] || equal(complement(domain_of(u)),domain_relation) subclass(domain_relation,cantor(u))* -> .
% 299.72/300.39  40264[5:Res:39213.1,1025.1] || equal(cantor(u),domain_relation) subclass(universal_class,complement(domain_of(u)))* -> .
% 299.72/300.39  39254[5:Res:39213.1,6463.1] || equal(cantor(u),domain_relation) subclass(domain_relation,complement(domain_of(u)))* -> .
% 299.72/300.39  38886[5:Res:7.1,38713.1] || equal(cantor(u),domain_relation) equal(complement(domain_of(u)),domain_relation)** -> .
% 299.72/300.39  40251[5:Res:32911.1,1025.1] || subclass(domain_relation,domain_of(u)) subclass(universal_class,complement(cantor(u)))* -> .
% 299.72/300.39  38328[5:Res:32911.1,6463.1] || subclass(domain_relation,domain_of(u)) subclass(domain_relation,complement(cantor(u)))* -> .
% 299.72/300.39  39296[5:Res:39252.1,6463.1] || equal(cantor(u),domain_relation) subclass(domain_relation,complement(cantor(u)))* -> .
% 299.72/300.39  38805[5:Res:7.1,38328.1] || equal(complement(cantor(u)),domain_relation) subclass(domain_relation,domain_of(u))* -> .
% 299.72/300.39  38908[5:Res:7.1,38805.1] || equal(domain_of(u),domain_relation) equal(complement(cantor(u)),domain_relation)** -> .
% 299.72/300.39  8367[5:Res:8346.0,8.0] || subclass(domain_of(u),cantor(u))* -> equal(domain_of(u),cantor(u)).
% 299.72/300.39  81399[5:Rew:39.0,81386.1] || subclass(universal_class,intersection(inverse(u),universal_class))* -> equal(inverse(u),universal_class).
% 299.72/300.39  101780[5:Res:7.1,81399.0] || equal(intersection(inverse(u),universal_class),universal_class)** -> equal(inverse(u),universal_class).
% 299.72/300.39  32938[5:Rew:22667.0,32879.1] || member(u,inverse(v)) -> member(u,intersection(inverse(v),universal_class))*.
% 299.72/300.39  120685[0:SpR:119609.0,133.1] || section(universal_class,u,v) -> subclass(domain_of(cross_product(v,u)),u)*.
% 299.72/300.39  118177[0:MRR:118134.0,29531.1] || subclass(rest_relation,rest_of(u)) -> subclass(v,intersection(domain_of(u),v))*.
% 299.72/300.39  124036[0:Res:761.1,8834.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(omega,symmetrization_of(u)).
% 299.72/300.39  25637[5:Rew:22733.0,25605.0] ||  -> equal(symmetric_difference(cross_product(u,v),universal_class),symmetric_difference(universal_class,cross_product(u,v)))**.
% 299.72/300.39  144721[0:SpL:932.0,961.0] || equal(symmetric_difference(u,singleton(u)),universal_class)** -> member(omega,successor(u)).
% 299.72/300.39  144731[0:Res:144714.1,2.0] || equal(u,universal_class) subclass(u,v)* -> member(omega,v)*.
% 299.72/300.39  145959[5:Rew:22667.0,145956.1] || equal(inverse(u),universal_class) -> equal(intersection(inverse(u),universal_class),universal_class)**.
% 299.72/300.39  146637[0:SpR:29.0,146022.0] ||  -> equal(intersection(u,restrict(u,v,w)),restrict(u,v,w))**.
% 299.72/300.39  146770[0:SpR:160.0,146209.0] ||  -> equal(intersection(union(u,v),symmetric_difference(u,v)),symmetric_difference(u,v))**.
% 299.72/300.39  148551[0:SpL:931.0,961.0] || equal(symmetric_difference(u,inverse(u)),universal_class)** -> member(omega,symmetrization_of(u)).
% 299.72/300.39  153499[0:Res:119650.1,119659.0] || equal(symmetric_difference(universal_class,u),universal_class) member(singleton(v),u)* -> .
% 299.72/300.39  153500[0:Res:763.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u))* member(singleton(v),u)* -> .
% 299.72/300.39  153627[5:Res:10.1,153534.1] || member(u,universal_class) equal(complement(unordered_pair(u,v)),universal_class)** -> .
% 299.72/300.39  153628[5:Res:11.1,153534.1] || member(u,universal_class) equal(complement(unordered_pair(v,u)),universal_class)** -> .
% 299.72/300.39  163533[5:Rew:27.0,163413.0] || equal(union(u,v),universal_class) -> subclass(w,union(u,v))*.
% 299.72/300.39  164768[8:Res:3366.1,164470.0] || member(cross_product(universal_class,universal_class),universal_class) -> member(least(element_relation,successor_relation),successor_relation)*.
% 299.72/300.39  167761[5:Res:146712.0,5229.1] inductive(subset_relation) ||  -> member(identity_relation,complement(compose(complement(element_relation),inverse(element_relation))))*.
% 299.72/300.39  164646[5:Rew:29757.0,151442.1] || equal(complement(u),universal_class) -> equal(symmetric_difference(complement(u),universal_class),identity_relation)**.
% 299.72/300.39  16094[5:Res:16080.1,2.0] || subclass(universal_class,u) -> equal(singleton(v),identity_relation) member(v,u)*.
% 299.72/300.39  24880[5:Res:22593.0,5229.1] inductive(symmetric_difference(domain_of(u),universal_class)) ||  -> member(identity_relation,complement(cantor(u)))*.
% 299.72/300.39  167174[5:SpR:118447.0,162506.1] ||  -> member(u,symmetric_difference(universal_class,v)) subclass(singleton(u),union(v,identity_relation))*.
% 299.72/300.39  164623[5:Rew:118447.0,153625.1] || member(u,complement(v))* equal(union(v,identity_relation),universal_class) -> .
% 299.72/300.39  52366[5:MRR:52324.0,29469.1] || member(u,complement(v)) member(u,union(v,identity_relation))* -> .
% 299.72/300.39  8615[5:Res:8337.0,5229.1] inductive(symmetric_difference(u,v)) ||  -> member(identity_relation,complement(intersection(u,v)))*.
% 299.72/300.39  24874[5:Res:22542.0,5229.1] inductive(symmetric_difference(complement(u),universal_class)) ||  -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.39  30552[5:Res:29542.1,2.0] || subclass(universal_class,u) -> equal(v,identity_relation) member(regular(v),u)*.
% 299.72/300.39  47899[5:Res:5201.1,8165.1] inductive(intersection(u,v)) || member(identity_relation,symmetric_difference(u,v))* -> .
% 299.72/300.39  122490[5:Rew:119684.0,50643.1] inductive(complement(union(u,identity_relation))) ||  -> member(identity_relation,symmetric_difference(universal_class,u))*.
% 299.72/300.39  119612[5:SpR:118446.0,5248.1] || asymmetric(universal_class,u) -> equal(restrict(inverse(universal_class),u,u),identity_relation)**.
% 299.72/300.39  119657[5:SpL:118446.0,5249.0] || equal(restrict(inverse(universal_class),u,u),identity_relation)** -> asymmetric(universal_class,u).
% 299.72/300.39  122627[5:Rew:118446.0,26050.0] ||  -> equal(union(symmetric_difference(universal_class,u),identity_relation),complement(symmetric_difference(complement(u),universal_class)))**.
% 299.72/300.39  122771[5:MRR:117056.0,5265.0] || equal(complement(union(u,v)),universal_class)** -> member(identity_relation,complement(v)).
% 299.72/300.39  167815[5:Res:162506.1,5229.1] inductive(singleton(u)) ||  -> member(u,v)* member(identity_relation,complement(v))*.
% 299.72/300.39  123645[5:Res:5213.0,1002.1] || subclass(universal_class,complement(omega)) -> equal(integer_of(unordered_pair(u,v)),identity_relation)**.
% 299.72/300.39  123651[5:Res:5213.0,6463.1] || subclass(domain_relation,complement(omega)) -> equal(integer_of(ordered_pair(identity_relation,identity_relation)),identity_relation)**.
% 299.72/300.39  126719[5:Rew:29757.0,126704.1] || equal(cantor(u),universal_class) -> equal(symmetric_difference(universal_class,cantor(u)),identity_relation)**.
% 299.72/300.39  8594[5:Res:8360.0,5229.1] inductive(cantor(flip(cross_product(u,universal_class)))) ||  -> member(identity_relation,inverse(u))*.
% 299.72/300.39  8567[5:Res:8358.0,5229.1] inductive(cantor(restrict(element_relation,universal_class,u))) ||  -> member(identity_relation,sum_class(u))*.
% 299.72/300.39  124369[5:Res:123649.1,2.0] || subclass(universal_class,u) -> equal(integer_of(v),identity_relation) member(v,u)*.
% 299.72/300.39  122595[5:Rew:122359.0,122594.1] || subclass(universal_class,complement(u)) member(identity_relation,complement(complement(u)))* -> .
% 299.72/300.39  113730[5:Obv:113716.1] || subclass(domain_of(u),complement(cantor(u)))* -> equal(domain_of(u),identity_relation).
% 299.72/300.39  113731[5:Obv:113718.1] || subclass(cantor(u),complement(domain_of(u)))* -> equal(cantor(u),identity_relation).
% 299.72/300.39  27423[5:Res:5196.1,22549.1] || subclass(universal_class,complement(compose(element_relation,universal_class)))* member(identity_relation,element_relation) -> .
% 299.72/300.39  8829[5:SpL:931.0,5227.0] || equal(symmetric_difference(u,inverse(u)),universal_class)** -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.39  8824[5:SpL:931.0,5228.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.39  8887[5:SpL:932.0,5228.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(identity_relation,successor(u)).
% 299.72/300.39  8893[5:SpL:932.0,5227.0] || equal(symmetric_difference(u,singleton(u)),universal_class)** -> member(identity_relation,successor(u)).
% 299.72/300.39  5520[5:Rew:5180.0,4094.1] || equal(symmetric_difference(u,v),universal_class) -> member(identity_relation,union(u,v))*.
% 299.72/300.39  5521[5:Rew:5180.0,4050.1] || subclass(universal_class,symmetric_difference(u,v)) -> member(identity_relation,union(u,v))*.
% 299.72/300.39  46830[5:MRR:46819.0,176.0] ||  -> equal(sum_class(singleton(u)),identity_relation) equal(regular(sum_class(singleton(u))),u)**.
% 299.72/300.39  122770[5:MRR:116677.0,5265.0] || equal(complement(union(u,v)),universal_class)** -> member(identity_relation,complement(u)).
% 299.72/300.39  5477[5:Rew:5180.0,4746.2] inductive(singleton(u)) || member(u,v)* -> member(identity_relation,v)*.
% 299.72/300.39  5481[5:Rew:5180.0,3901.2] || subclass(universal_class,u)* subclass(u,v)* -> member(identity_relation,v)*.
% 299.72/300.39  39130[5:Res:7.1,28217.0] || equal(complement(complement(cross_product(u,v))),domain_relation)** -> member(identity_relation,v).
% 299.72/300.39  28217[5:Res:27132.1,16.0] || subclass(domain_relation,complement(complement(cross_product(u,v))))* -> member(identity_relation,v).
% 299.72/300.39  124108[5:Res:119647.1,2.0] || equal(u,universal_class) subclass(u,v)* -> member(identity_relation,v)*.
% 299.72/300.39  113734[5:MRR:113694.0,29542.1] || subclass(u,complement(unordered_pair(regular(u),v)))* -> equal(u,identity_relation).
% 299.72/300.39  113735[5:MRR:113695.0,29542.1] || subclass(u,complement(unordered_pair(v,regular(u))))* -> equal(u,identity_relation).
% 299.72/300.39  8476[5:Res:8453.1,8.0] || equal(identity_relation,u) subclass(v,u)* -> equal(v,u).
% 299.72/300.39  124759[5:SpL:118447.0,3957.1] inductive(symmetric_difference(universal_class,u)) || equal(union(u,identity_relation),universal_class)** -> .
% 299.72/300.39  167480[5:SpL:118447.0,165324.0] || equal(union(u,identity_relation),universal_class) -> equal(symmetric_difference(universal_class,u),identity_relation)**.
% 299.72/300.39  24559[5:Rew:24558.0,24508.0] ||  -> subclass(symmetric_difference(union(u,identity_relation),universal_class),complement(symmetric_difference(complement(u),universal_class)))*.
% 299.72/300.39  39127[5:Res:7.1,28216.0] || equal(complement(complement(cross_product(u,v))),domain_relation)** -> member(identity_relation,u).
% 299.72/300.39  28216[5:Res:27132.1,15.0] || subclass(domain_relation,complement(complement(cross_product(u,v))))* -> member(identity_relation,u).
% 299.72/300.39  167402[7:Res:167376.1,2.0] || subclass(complement(u),v)* -> member(identity_relation,u) member(identity_relation,v).
% 299.72/300.39  125701[7:Res:125624.1,40810.0] || equal(rest_of(identity_relation),singleton(identity_relation)) subclass(universal_class,complement(element_relation))* -> .
% 299.72/300.39  6465[5:Res:5615.1,23.0] || subclass(domain_relation,intersection(u,v))*+ -> member(ordered_pair(identity_relation,identity_relation),v)*.
% 299.72/300.39  28828[5:Res:7.1,6465.0] || equal(intersection(u,v),domain_relation)**+ -> member(ordered_pair(identity_relation,identity_relation),v)*.
% 299.72/300.39  32911[5:Res:5615.1,29473.0] || subclass(domain_relation,domain_of(u)) -> member(ordered_pair(identity_relation,identity_relation),cantor(u))*.
% 299.72/300.39  39252[5:Res:39213.1,29473.0] || equal(cantor(u),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),cantor(u))*.
% 299.72/300.39  28844[5:SpL:22519.0,6464.0] || subclass(domain_relation,cantor(u)) -> member(ordered_pair(identity_relation,identity_relation),domain_of(u))*.
% 299.72/300.39  39213[5:SpL:22519.0,28860.0] || equal(cantor(u),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),domain_of(u))*.
% 299.72/300.39  6463[5:Res:5615.1,25.1] || subclass(domain_relation,complement(u)) member(ordered_pair(identity_relation,identity_relation),u)* -> .
% 299.72/300.39  6464[5:Res:5615.1,22.0] || subclass(domain_relation,intersection(u,v))*+ -> member(ordered_pair(identity_relation,identity_relation),u)*.
% 299.72/300.39  28860[5:Res:7.1,6464.0] || equal(intersection(u,v),domain_relation)**+ -> member(ordered_pair(identity_relation,identity_relation),u)*.
% 299.72/300.39  27132[5:MRR:27106.0,641.0] || subclass(domain_relation,complement(complement(u))) -> member(ordered_pair(identity_relation,identity_relation),u)*.
% 299.72/300.39  167427[7:Res:125624.1,119659.0] || equal(symmetric_difference(universal_class,u),singleton(identity_relation))** member(identity_relation,u) -> .
% 299.72/300.39  167428[7:Res:125624.1,119626.0] || equal(symmetric_difference(universal_class,u),singleton(identity_relation)) -> member(identity_relation,complement(u))*.
% 299.72/300.39  125695[7:Res:125624.1,596.0] || equal(restrict(u,v,w),singleton(identity_relation))** -> member(identity_relation,u).
% 299.72/300.39  22549[5:Rew:22446.0,6922.1] || member(u,element_relation) member(u,complement(compose(element_relation,universal_class)))* -> .
% 299.72/300.39  124021[5:Res:761.1,22549.1] || subclass(universal_class,complement(compose(element_relation,universal_class)))* member(omega,element_relation) -> .
% 299.72/300.39  101873[5:Res:7.1,81740.0] || equal(intersection(sum_class(u),universal_class),universal_class)** -> equal(sum_class(u),universal_class).
% 299.72/300.39  145957[5:Rew:22654.0,145954.1] || equal(sum_class(u),universal_class) -> equal(intersection(sum_class(u),universal_class),universal_class)**.
% 299.72/300.39  81740[5:Rew:54.0,81727.1] || subclass(universal_class,intersection(sum_class(u),universal_class))* -> equal(sum_class(u),universal_class).
% 299.72/300.39  32937[5:Rew:22654.0,32877.1] || member(u,sum_class(v)) -> member(u,intersection(sum_class(v),universal_class))*.
% 299.72/300.39  167544[5:SoR:125619.0,166138.1] || equal(complement(complement(omega)),universal_class)** -> equal(complement(complement(omega)),omega).
% 299.72/300.39  50770[0:Res:176.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(singleton(u)),successor(singleton(u)))**.
% 299.72/300.39  173147[13:Res:3366.1,173145.0] || member(cross_product(universal_class,universal_class),universal_class) -> member(least(element_relation,element_relation),element_relation)*.
% 299.72/300.39  177671[5:SpR:113956.0,145868.1] || subclass(u,singleton(v))* -> member(v,u) equal(identity_relation,u).
% 299.72/300.39  178027[14:Res:178018.1,2.0] || subclass(omega,u)* subclass(u,v)* -> member(identity_relation,v)*.
% 299.72/300.39  178037[14:Res:178018.1,944.0] || subclass(omega,symmetric_difference(u,v)) -> member(identity_relation,union(u,v))*.
% 299.72/300.39  178038[14:Res:178018.1,8898.0] || subclass(omega,symmetric_difference(u,singleton(u)))* -> member(identity_relation,successor(u)).
% 299.72/300.39  178244[14:Rew:39.0,178233.0] || subclass(omega,inverse(u)) -> member(identity_relation,intersection(inverse(u),universal_class))*.
% 299.72/300.39  178283[14:Res:608.1,178202.1] || member(identity_relation,cantor(u))* equal(complement(domain_of(u)),omega) -> .
% 299.72/300.39  178284[14:Res:117277.0,178202.1] || equal(complement(inverse(singleton(identity_relation))),omega)** -> asymmetric(singleton(identity_relation),u)*.
% 299.72/300.39  178288[14:Res:29487.1,178202.1] || member(identity_relation,element_relation) equal(complement(compose(element_relation,universal_class)),omega)** -> .
% 299.72/300.39  178305[14:Res:178049.1,178202.1] || subclass(omega,domain_of(u))* equal(complement(cantor(u)),omega) -> .
% 299.72/300.39  178322[14:Rew:118447.0,178279.1] || member(identity_relation,complement(u))* equal(union(u,identity_relation),omega) -> .
% 299.72/300.39  178399[14:SpL:118447.0,178302.1] inductive(symmetric_difference(universal_class,u)) || equal(union(u,identity_relation),omega)** -> .
% 299.72/300.39  178435[14:Res:45819.1,178297.0] || subclass(omega,cantor(u))* equal(complement(domain_of(u)),omega) -> .
% 299.72/300.39  178612[14:SpL:931.0,178034.0] || subclass(omega,symmetric_difference(u,inverse(u)))* -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.39  178681[14:SpL:145868.1,178572.0] || subclass(u,v)* equal(u,omega) -> member(identity_relation,v)*.
% 299.72/300.39  178718[14:Res:178680.1,944.0] || equal(symmetric_difference(u,v),omega) -> member(identity_relation,union(u,v))*.
% 299.72/300.39  178719[14:Res:178680.1,8898.0] || equal(symmetric_difference(u,singleton(u)),omega)** -> member(identity_relation,successor(u)).
% 299.72/300.39  178767[14:Res:178684.1,178202.1] || equal(cantor(u),omega) equal(complement(domain_of(u)),omega)** -> .
% 299.72/300.39  178782[14:Res:178730.1,178202.1] || equal(domain_of(u),omega) equal(complement(cantor(u)),omega)** -> .
% 299.72/300.39  178785[14:Rew:39.0,178773.0] || equal(inverse(u),omega) -> member(identity_relation,intersection(inverse(u),universal_class))*.
% 299.72/300.39  178807[14:SpL:931.0,178630.0] || equal(symmetric_difference(u,inverse(u)),omega)** -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.39  178907[5:Rew:22481.0,178891.0] || member(u,power_class(identity_relation)) -> member(u,intersection(power_class(identity_relation),universal_class))*.
% 299.72/300.39  179341[5:Rew:6805.0,179325.0] || member(u,power_class(universal_class)) -> member(u,intersection(power_class(universal_class),universal_class))*.
% 299.72/300.39  179779[7:Res:179748.1,153534.1] || member(identity_relation,u) equal(complement(union(u,identity_relation)),universal_class)** -> .
% 299.72/300.39  179780[14:Res:179748.1,178202.1] || member(identity_relation,u) equal(complement(union(u,identity_relation)),omega)** -> .
% 299.72/300.39  34824[5:Rew:40.0,34800.0] ||  -> equal(range_of(u),identity_relation) member(regular(range_of(u)),cantor(inverse(u)))*.
% 299.72/300.39  40725[0:SpL:40.0,40700.0] || member(inverse(u),range_of(u))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.39  49046[5:Res:47940.0,5229.1] inductive(complement(complement(cantor(inverse(u))))) ||  -> member(identity_relation,range_of(u))*.
% 299.72/300.39  46096[5:Res:45849.0,5229.1] inductive(intersection(cantor(inverse(u)),v)) ||  -> member(identity_relation,range_of(u))*.
% 299.72/300.39  125626[7:Res:86994.1,125552.0] || equal(cantor(inverse(u)),singleton(identity_relation)) -> member(identity_relation,range_of(u))*.
% 299.72/300.39  146120[5:SpR:40.0,146067.0] ||  -> subclass(symmetric_difference(range_of(u),cantor(inverse(u))),complement(cantor(inverse(u))))*.
% 299.72/300.39  111349[0:Res:821.1,111279.0] || subclass(universal_class,cantor(inverse(u)))* well_ordering(universal_class,range_of(u)) -> .
% 299.72/300.39  149982[0:SpL:40.0,122838.1] || subclass(rest_relation,rest_of(inverse(u)))* well_ordering(universal_class,range_of(u)) -> .
% 299.72/300.39  821[0:Res:763.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(singleton(v),range_of(u))*.
% 299.72/300.39  164644[5:Rew:29757.0,150261.1] || equal(range_of(u),universal_class) -> equal(symmetric_difference(range_of(u),universal_class),identity_relation)**.
% 299.72/300.39  26049[5:SpR:22595.0,25601.0] ||  -> equal(union(cantor(inverse(u)),identity_relation),complement(symmetric_difference(range_of(u),universal_class)))**.
% 299.72/300.39  46139[5:Res:45938.0,5229.1] inductive(intersection(u,cantor(inverse(v)))) ||  -> member(identity_relation,range_of(v))*.
% 299.72/300.39  85798[0:SpR:40.0,45832.1] || member(u,cantor(inverse(v)))* -> subclass(singleton(u),range_of(v)).
% 299.72/300.39  119614[5:SpR:118446.0,5391.1] || asymmetric(universal_class,universal_class) -> equal(image(inverse(universal_class),universal_class),range_of(identity_relation))**.
% 299.72/300.39  120737[5:SpR:120676.0,22595.0] ||  -> equal(intersection(image(universal_class,u),universal_class),cantor(inverse(cross_product(u,universal_class))))**.
% 299.72/300.39  120738[0:SpR:120676.0,45849.0] ||  -> subclass(intersection(cantor(inverse(cross_product(u,universal_class))),v),image(universal_class,u))*.
% 299.72/300.39  124777[0:SpR:120676.0,47940.0] ||  -> subclass(complement(complement(cantor(inverse(cross_product(u,universal_class))))),image(universal_class,u))*.
% 299.72/300.39  120751[0:SpR:120676.0,45938.0] ||  -> subclass(intersection(u,cantor(inverse(cross_product(v,universal_class)))),image(universal_class,v))*.
% 299.72/300.39  150362[5:Rew:43.0,150316.0] || equal(image(u,v),universal_class) -> subclass(w,image(u,v))*.
% 299.72/300.39  115088[0:SpR:9093.0,43.0] ||  -> equal(image(cross_product(u,universal_class),v),image(cross_product(v,universal_class),u))*.
% 299.72/300.39  146434[5:Rew:69.0,146429.1] || subclass(universal_class,apply(u,v))* -> subclass(w,apply(u,v))*.
% 299.72/300.39  146474[5:Rew:69.0,146439.0] || equal(apply(u,v),universal_class) -> subclass(w,apply(u,v))*.
% 299.72/300.39  28687[0:SoR:7523.0,72.1] one_to_one(recursion(u,successor_relation,union_of_range_map)) ||  -> member(ordinal_add(u,v),universal_class)*.
% 299.72/300.39  7523[0:SpR:156.0,7512.1] function(recursion(u,successor_relation,union_of_range_map)) ||  -> member(ordinal_add(u,v),universal_class)*.
% 299.72/300.39  168570[12:SpR:168482.0,7512.1] function(recursion(u,successor_relation,identity_relation)) ||  -> member(ordinal_add(u,v),universal_class)*.
% 299.72/300.39  179794[7:Rew:56.0,179787.1,22454.0,179787.0] ||  -> member(identity_relation,complement(intersection(power_class(u),universal_class)))* member(identity_relation,power_class(u)).
% 299.72/300.39  4003[3:SpL:56.0,3957.1] inductive(image(element_relation,complement(u))) || equal(power_class(u),universal_class)** -> .
% 299.72/300.39  178402[14:SpL:56.0,178302.1] inductive(image(element_relation,complement(u))) || equal(power_class(u),omega)** -> .
% 299.72/300.39  180107[5:Rew:22481.0,180089.1,22481.0,180089.0] ||  -> subclass(singleton(regular(power_class(identity_relation))),power_class(identity_relation))* equal(power_class(identity_relation),identity_relation).
% 299.72/300.39  46194[5:Res:45887.0,5229.1] inductive(restrict(cantor(u),v,w)) ||  -> member(identity_relation,domain_of(u))*.
% 299.72/300.39  28639[5:Res:7.1,28215.0] || equal(complement(complement(rest_of(u))),domain_relation)** -> member(identity_relation,domain_of(u)).
% 299.72/300.39  28215[5:Res:27132.1,142.0] || subclass(domain_relation,complement(complement(rest_of(u))))* -> member(identity_relation,domain_of(u)).
% 299.72/300.39  180008[5:SoR:47983.0,166138.1] || equal(complement(complement(cantor(u))),universal_class)** -> member(identity_relation,domain_of(u)).
% 299.72/300.39  29595[0:Res:59.1,29469.0] || member(ordered_pair(u,v),compose(w,x))* -> member(v,universal_class).
% 299.72/300.39  46369[0:Res:651.0,3924.0] || subclass(singleton(singleton(singleton(u))),v)* well_ordering(universal_class,v) -> .
% 299.72/300.39  53051[0:Res:145.0,28696.0] || well_ordering(u,cross_product(universal_class,universal_class))* -> member(least(u,rest_relation),rest_relation).
% 299.72/300.39  87301[0:SpL:647.0,86931.0] || equal(u,singleton(singleton(singleton(v))))* well_ordering(universal_class,u)* -> .
% 299.72/300.39  46289[0:Res:3.1,3924.0] || subclass(u,v)* well_ordering(universal_class,v)* -> subclass(u,w)*.
% 299.72/300.39  46298[5:Res:5201.1,3924.0] inductive(u) || subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.39  46299[5:Res:5220.1,3924.0] || subclass(u,v)* well_ordering(universal_class,v)* -> equal(u,identity_relation).
% 299.72/300.39  176817[7:Res:45819.1,125550.0] || subclass(singleton(identity_relation),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.39  152770[0:Res:122840.1,1054.0] || well_ordering(universal_class,complement(singleton(u)))* -> equal(singleton(singleton(v)),u)*.
% 299.72/300.39  176866[7:SpL:118447.0,176819.0] || well_ordering(universal_class,union(u,identity_relation))* -> member(identity_relation,symmetric_difference(universal_class,u)).
% 299.72/300.39  26419[5:MRR:26417.1,5184.0] || well_ordering(element_relation,universal_class) -> section(element_relation,singleton(least(element_relation,universal_class)),universal_class)*.
% 299.72/300.39  189300[7:Res:125624.1,125680.1] || equal(u,singleton(identity_relation)) equal(complement(u),singleton(identity_relation))** -> .
% 299.72/300.39  189520[7:Rew:189431.0,124292.0] ||  -> subclass(symmetric_difference(complement(u),singleton(identity_relation)),union(u,complement(singleton(identity_relation))))*.
% 299.72/300.39  189521[7:Rew:189431.0,124285.0] ||  -> subclass(symmetric_difference(singleton(identity_relation),complement(u)),union(complement(singleton(identity_relation)),u))*.
% 299.72/300.39  189722[7:Rew:189431.0,189522.1] || member(u,singleton(identity_relation)) -> member(u,intersection(singleton(identity_relation),universal_class))*.
% 299.72/300.39  189561[7:Rew:189431.0,179216.0] ||  -> equal(union(complement(singleton(identity_relation)),identity_relation),complement(intersection(singleton(identity_relation),universal_class)))**.
% 299.72/300.39  189566[7:Rew:189431.0,179121.0] ||  -> subclass(symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.39  190386[14:Rew:54.0,190355.0] || equal(sum_class(u),omega) -> member(identity_relation,intersection(sum_class(u),universal_class))*.
% 299.72/300.39  190387[14:Rew:54.0,190356.0] || subclass(omega,sum_class(u)) -> member(identity_relation,intersection(sum_class(u),universal_class))*.
% 299.72/300.39  190630[5:Rew:5304.0,190519.1] || equal(complement(u),universal_class) -> equal(symmetric_difference(universal_class,complement(u)),identity_relation)**.
% 299.72/300.39  190633[5:Rew:6805.0,190533.1] || equal(complement(u),universal_class) -> equal(power_class(complement(u)),power_class(universal_class))**.
% 299.72/300.39  190644[5:Rew:22454.0,190516.1,5304.0,190516.1] || equal(complement(u),universal_class) -> equal(union(complement(u),v),universal_class)**.
% 299.72/300.39  190655[5:Rew:22454.0,190540.1,5296.0,190540.1] || equal(complement(u),universal_class) -> equal(union(v,complement(u)),universal_class)**.
% 299.72/300.39  190838[5:Rew:5304.0,190750.1] || equal(inverse(u),universal_class) -> equal(symmetric_difference(universal_class,inverse(u)),identity_relation)**.
% 299.72/300.39  190841[5:Rew:6805.0,190764.1] || equal(inverse(u),universal_class) -> equal(power_class(inverse(u)),power_class(universal_class))**.
% 299.72/300.39  190851[5:Rew:22454.0,190747.1,5304.0,190747.1] || equal(inverse(u),universal_class) -> equal(union(inverse(u),v),universal_class)**.
% 299.72/300.39  190862[5:Rew:22454.0,190771.1,5296.0,190771.1] || equal(inverse(u),universal_class) -> equal(union(v,inverse(u)),universal_class)**.
% 299.72/300.39  190993[5:Rew:5304.0,190916.1] || equal(sum_class(u),universal_class) -> equal(symmetric_difference(universal_class,sum_class(u)),identity_relation)**.
% 299.72/300.39  190996[5:Rew:6805.0,190930.1] || equal(sum_class(u),universal_class) -> equal(power_class(sum_class(u)),power_class(universal_class))**.
% 299.72/300.39  191006[5:Rew:22454.0,190913.1,5304.0,190913.1] || equal(sum_class(u),universal_class) -> equal(union(sum_class(u),v),universal_class)**.
% 299.72/300.39  191017[5:Rew:22454.0,190937.1,5296.0,190937.1] || equal(sum_class(u),universal_class) -> equal(union(v,sum_class(u)),universal_class)**.
% 299.72/300.39  191643[15:MRR:167499.2,191629.0] single_valued_class(symmetric_difference(universal_class,u)) || equal(union(u,identity_relation),universal_class)** -> .
% 299.72/300.39  191644[15:MRR:167502.2,191629.0] single_valued_class(image(element_relation,complement(u))) || equal(power_class(u),universal_class)** -> .
% 299.72/300.39  191936[15:Rew:22454.0,191861.0] ||  -> subclass(symmetric_difference(complement(sum_class(range_of(identity_relation))),universal_class),successor(sum_class(range_of(identity_relation))))*.
% 299.72/300.39  191945[15:Rew:119684.0,191862.0,22454.0,191862.0] ||  -> subclass(complement(successor(sum_class(range_of(identity_relation)))),symmetric_difference(universal_class,sum_class(range_of(identity_relation))))*.
% 299.72/300.39  192056[15:Res:191859.0,2.0] || subclass(ordered_pair(sum_class(range_of(identity_relation)),u),v)* -> member(identity_relation,v).
% 299.72/300.39  192092[15:SpL:191735.0,142.0] || member(singleton(singleton(identity_relation)),rest_of(u))* -> member(identity_relation,domain_of(u)).
% 299.72/300.39  192093[15:SpL:191735.0,15.0] || member(singleton(singleton(identity_relation)),cross_product(u,v))* -> member(identity_relation,u).
% 299.72/300.39  192144[15:SpR:191737.0,22914.0] ||  -> equal(intersection(successor(range_of(identity_relation)),universal_class),symmetric_difference(complement(range_of(identity_relation)),universal_class))**.
% 299.72/300.39  192727[16:Res:45819.1,192688.0] || subclass(successor(range_of(identity_relation)),cantor(u))* -> member(identity_relation,domain_of(u)).
% 299.72/300.39  192918[5:Rew:5304.0,192837.1] || equal(range_of(u),universal_class) -> equal(symmetric_difference(universal_class,range_of(u)),identity_relation)**.
% 299.72/300.39  192921[5:Rew:6805.0,192852.1] || equal(range_of(u),universal_class) -> equal(power_class(range_of(u)),power_class(universal_class))**.
% 299.72/300.39  192932[5:Rew:22454.0,192834.1,5304.0,192834.1] || equal(range_of(u),universal_class) -> equal(union(range_of(u),v),universal_class)**.
% 299.72/300.39  192944[5:Rew:22454.0,192859.1,5296.0,192859.1] || equal(range_of(u),universal_class) -> equal(union(v,range_of(u)),universal_class)**.
% 299.72/300.39  193102[5:Rew:6805.0,193086.1,6805.0,193086.0] ||  -> subclass(singleton(regular(power_class(universal_class))),power_class(universal_class))* equal(power_class(universal_class),identity_relation).
% 299.72/300.39  193268[5:Rew:5304.0,193182.1] || equal(power_class(u),universal_class) -> equal(symmetric_difference(universal_class,power_class(u)),identity_relation)**.
% 299.72/300.39  193271[5:Rew:6805.0,193197.1] || equal(power_class(u),universal_class) -> equal(power_class(power_class(u)),power_class(universal_class))**.
% 299.72/300.39  193280[5:Rew:22454.0,193179.1,5304.0,193179.1] || equal(power_class(u),universal_class) -> equal(union(power_class(u),v),universal_class)**.
% 299.72/300.39  193292[5:Rew:22454.0,193205.1,5296.0,193205.1] || equal(power_class(u),universal_class) -> equal(union(v,power_class(u)),universal_class)**.
% 299.72/300.39  193424[7:SpL:40.0,176818.1] || member(identity_relation,cantor(inverse(u)))* well_ordering(universal_class,range_of(u)) -> .
% 299.72/300.39  193624[12:SpR:191620.1,646.0] || member(u,universal_class) -> member(identity_relation,ordered_pair(sum_class(range_of(u)),v))*.
% 299.72/300.39  194143[15:Res:192110.1,816.1] || equal(u,singleton(singleton(identity_relation))) subclass(universal_class,complement(u))* -> .
% 299.72/300.39  194144[15:Res:192110.1,1054.0] || equal(singleton(u),singleton(singleton(identity_relation)))* -> equal(singleton(identity_relation),u).
% 299.72/300.39  194181[15:Res:192110.1,153534.1] || equal(u,singleton(singleton(identity_relation)))* equal(complement(u),universal_class)** -> .
% 299.72/300.39  194712[5:SpR:168166.1,30.0] || equal(complement(u),universal_class) -> equal(restrict(u,v,w),identity_relation)**.
% 299.72/300.39  194804[5:Rew:22454.0,194731.1] || equal(complement(complement(u)),universal_class) -> equal(union(v,u),universal_class)**.
% 299.72/300.39  194891[5:SpR:168067.1,22595.0] || equal(complement(range_of(u)),universal_class) -> equal(cantor(inverse(u)),identity_relation)**.
% 299.72/300.39  194901[5:SpR:168067.1,119684.0] || equal(complement(complement(u)),universal_class) -> equal(symmetric_difference(universal_class,u),identity_relation)**.
% 299.72/300.39  194977[5:Rew:22454.0,194898.1] || equal(complement(complement(u)),universal_class) -> equal(union(u,v),universal_class)**.
% 299.72/300.39  195815[17:SpL:195298.0,122838.1] || subclass(rest_relation,rest_of(unordered_pair(u,v)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.39  195883[17:SpL:195327.0,122838.1] || subclass(rest_relation,rest_of(ordered_pair(u,v)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.39  196322[17:SpR:195325.1,54.0] ||  -> equal(integer_of(restrict(element_relation,universal_class,u)),identity_relation)** equal(sum_class(u),identity_relation).
% 299.72/300.39  196325[17:SpR:195325.1,39.0] ||  -> equal(integer_of(flip(cross_product(u,universal_class))),identity_relation)** equal(inverse(u),identity_relation).
% 299.72/300.39  196412[17:SpR:195326.1,54.0] ||  -> equal(singleton(restrict(element_relation,universal_class,u)),identity_relation)** equal(sum_class(u),identity_relation).
% 299.72/300.39  196415[17:SpR:195326.1,39.0] ||  -> equal(singleton(flip(cross_product(u,universal_class))),identity_relation)** equal(inverse(u),identity_relation).
% 299.72/300.39  196647[17:SpR:196095.0,865.0] ||  -> equal(cantor(apply(choice,omega)),identity_relation)** equal(apply(choice,omega),identity_relation).
% 299.72/300.39  196837[17:Res:53064.1,195267.1] || well_ordering(u,rest_relation) equal(rest_of(least(u,rest_relation)),rest_relation)** -> .
% 299.72/300.39  196838[17:Res:53058.1,195267.1] || well_ordering(u,universal_class) equal(rest_of(least(u,rest_relation)),rest_relation)** -> .
% 299.72/300.39  196839[17:Res:8771.1,195267.1] || well_ordering(u,universal_class) equal(rest_of(least(u,universal_class)),rest_relation)** -> .
% 299.72/300.39  198043[17:Res:195614.1,1054.0] || subclass(domain_relation,singleton(u))* -> equal(singleton(singleton(singleton(identity_relation))),u)*.
% 299.72/300.39  199263[15:Res:608.1,199206.0] || member(singleton(identity_relation),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.39  199266[15:Res:29487.1,199206.0] || member(singleton(identity_relation),element_relation) well_ordering(universal_class,compose(element_relation,universal_class))* -> .
% 299.72/300.39  200681[5:SoR:3583.0,167596.1] || equal(image(successor_relation,omega),universal_class)** -> equal(image(successor_relation,omega),omega).
% 299.72/300.39  200715[5:SpR:200704.1,646.0] || equal(u,universal_class) -> inductive(u) member(identity_relation,ordered_pair(u,v))*.
% 299.72/300.39  200954[5:MRR:200953.1,5.0] || equal(regular(u),universal_class) -> inductive(regular(u))* equal(u,identity_relation).
% 299.72/300.39  201778[5:SpR:118447.0,201674.1] || subclass(symmetric_difference(universal_class,u),identity_relation)* -> subclass(universal_class,union(u,identity_relation)).
% 299.72/300.39  202187[7:MRR:125702.1,202179.0] || equal(ordered_pair(u,v),singleton(identity_relation))** -> equal(singleton(u),identity_relation).
% 299.72/300.39  202419[7:Res:167393.0,201810.1] || subclass(symmetric_difference(universal_class,u),identity_relation) -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.39  202922[5:SpR:202351.1,118447.0] || equal(symmetric_difference(universal_class,u),identity_relation)** -> equal(union(u,identity_relation),universal_class).
% 299.72/300.39  203274[5:Rew:118446.0,202872.1] || equal(identity_relation,u) -> equal(union(u,v),complement(complement(v)))**.
% 299.72/300.39  203283[5:Rew:118447.0,202902.1,119684.0,202902.1] || equal(identity_relation,u) -> equal(union(v,identity_relation),union(v,u))*.
% 299.72/300.39  203515[7:SpL:118447.0,202413.0] || subclass(union(u,identity_relation),identity_relation) -> member(identity_relation,symmetric_difference(universal_class,u))*.
% 299.72/300.39  203592[5:SpL:118447.0,202624.0] || subclass(union(u,identity_relation),identity_relation) -> member(omega,symmetric_difference(universal_class,u))*.
% 299.72/300.39  203640[7:Res:202851.1,189303.0] || equal(complement(u),identity_relation) equal(complement(u),singleton(identity_relation))** -> .
% 299.72/300.39  203652[5:Res:202851.1,818.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(singleton(w),v)*.
% 299.72/300.39  203653[5:Res:202851.1,817.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(singleton(w),u)*.
% 299.72/300.39  203664[5:Res:202851.1,1037.0] || equal(complement(compose_class(u)),identity_relation) -> equal(compose(u,v),w)*.
% 299.72/300.39  203669[5:Res:202851.1,795.0] || equal(complement(cantor(inverse(u))),identity_relation)** -> member(omega,range_of(u)).
% 299.72/300.39  203670[5:Res:202851.1,5237.0] || equal(complement(cantor(inverse(u))),identity_relation)** -> member(identity_relation,range_of(u)).
% 299.72/300.39  203679[5:Res:202851.1,5190.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(identity_relation,u).
% 299.72/300.39  203680[5:Res:202851.1,794.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(omega,u).
% 299.72/300.39  203699[5:Res:202851.1,146252.0] || equal(complement(complement(u)),identity_relation) -> equal(symmetric_difference(universal_class,u),universal_class)**.
% 299.72/300.39  203715[5:Res:202851.1,3634.0] || equal(complement(complement(complement(u))),identity_relation)** -> member(singleton(v),u)*.
% 299.72/300.39  203716[14:Res:202851.1,190318.1] || equal(complement(complement(element_relation)),identity_relation)** equal(rest_of(identity_relation),omega) -> .
% 299.72/300.39  203717[5:Res:202851.1,5261.0] || equal(complement(complement(omega)),identity_relation) -> equal(integer_of(singleton(u)),identity_relation)**.
% 299.72/300.39  203736[5:Res:202851.1,146241.0] || equal(complement(range_of(u)),identity_relation) -> equal(cantor(inverse(u)),universal_class)**.
% 299.72/300.39  204190[5:SpL:118447.0,203645.0] || equal(union(u,identity_relation),identity_relation) -> equal(symmetric_difference(universal_class,u),universal_class)**.
% 299.72/300.39  204344[5:Res:118490.1,203257.1] || member(u,complement(v))* equal(symmetric_difference(universal_class,v),identity_relation) -> .
% 299.72/300.39  204380[5:Res:766.2,203257.1] || subclass(u,v)* equal(identity_relation,v) -> subclass(u,w)*.
% 299.72/300.39  204385[5:Res:5214.2,203257.1] || subclass(u,v)* equal(identity_relation,v) -> equal(u,identity_relation).
% 299.72/300.39  204640[5:SpR:201811.1,122382.0] || subclass(intersection(u,universal_class),identity_relation)* -> equal(symmetric_difference(u,universal_class),universal_class).
% 299.72/300.39  204759[5:Res:118490.1,204710.1] || member(u,complement(v))* subclass(symmetric_difference(universal_class,v),identity_relation)* -> .
% 299.72/300.39  204765[5:Res:29474.1,204710.1] || member(u,range_of(v))* subclass(cantor(inverse(v)),identity_relation)* -> .
% 299.72/300.39  204795[5:Res:766.2,204710.1] || subclass(u,v)* subclass(v,identity_relation)* -> subclass(u,w)*.
% 299.72/300.39  204800[5:Res:5214.2,204710.1] || subclass(u,v)* subclass(v,identity_relation)* -> equal(u,identity_relation).
% 299.72/300.39  205055[11:SpL:203228.1,180128.0] || equal(identity_relation,u) subclass(universal_class,intersection(power_class(u),universal_class))* -> .
% 299.72/300.39  205056[11:SpL:203228.1,180135.0] || equal(identity_relation,u) equal(intersection(power_class(u),universal_class),universal_class)** -> .
% 299.72/300.39  205057[14:SpL:203228.1,191076.0] || equal(identity_relation,u) subclass(omega,intersection(power_class(u),universal_class))* -> .
% 299.72/300.39  205058[14:SpL:203228.1,191210.0] || equal(identity_relation,u) equal(intersection(power_class(u),universal_class),omega)** -> .
% 299.72/300.39  205306[5:Res:205150.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u))* member(power_class(identity_relation),u) -> .
% 299.72/300.39  205307[5:Res:205150.1,119626.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(power_class(identity_relation),complement(u))*.
% 299.72/300.39  205318[5:Res:205150.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(power_class(identity_relation),range_of(u))*.
% 299.72/300.39  205320[5:Res:205150.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(power_class(identity_relation),u).
% 299.72/300.39  205358[5:Res:53064.1,203295.1] || well_ordering(u,rest_relation) equal(singleton(least(u,rest_relation)),identity_relation)** -> .
% 299.72/300.39  205359[5:Res:53058.1,203295.1] || well_ordering(u,universal_class) equal(singleton(least(u,rest_relation)),identity_relation)** -> .
% 299.72/300.39  205360[5:Res:8771.1,203295.1] || well_ordering(u,universal_class) equal(singleton(least(u,universal_class)),identity_relation)** -> .
% 299.72/300.39  205420[5:SpL:203228.1,205406.0] || equal(identity_relation,u) subclass(universal_class,complement(singleton(power_class(u))))* -> .
% 299.72/300.39  205432[5:SpL:203228.1,205426.0] || equal(identity_relation,u) equal(complement(singleton(power_class(u))),universal_class)** -> .
% 299.72/300.39  205588[5:Rew:22654.0,205531.0] || equal(intersection(sum_class(u),universal_class),identity_relation)** -> equal(sum_class(u),identity_relation).
% 299.72/300.39  205589[5:Rew:22667.0,205536.0] || equal(intersection(inverse(u),universal_class),identity_relation)** -> equal(inverse(u),identity_relation).
% 299.72/300.39  205597[7:MRR:205524.2,5188.0] || equal(cantor(u),identity_relation) equal(cantor(u),singleton(identity_relation))** -> .
% 299.72/300.39  205950[5:Rew:54.0,205928.1] || subclass(intersection(sum_class(u),universal_class),identity_relation)* -> equal(sum_class(u),identity_relation).
% 299.72/300.39  205951[5:Rew:39.0,205929.1] || subclass(intersection(inverse(u),universal_class),identity_relation)* -> equal(inverse(u),identity_relation).
% 299.72/300.39  206370[5:Res:201827.1,25.1] || subclass(complement(complement(u)),identity_relation)* member(singleton(v),u)* -> .
% 299.72/300.39  206374[5:Res:201827.1,22.0] || subclass(complement(intersection(u,v)),identity_relation)* -> member(singleton(w),u)*.
% 299.72/300.39  206375[5:Res:201827.1,23.0] || subclass(complement(intersection(u,v)),identity_relation)* -> member(singleton(w),v)*.
% 299.72/300.39  206385[5:Res:201827.1,158.0] || subclass(complement(omega),identity_relation)* -> equal(integer_of(singleton(u)),singleton(u))**.
% 299.72/300.39  206390[5:Res:201827.1,29473.0] || subclass(complement(domain_of(u)),identity_relation) -> member(singleton(v),cantor(u))*.
% 299.72/300.39  206421[5:Rew:118447.0,206383.0] || subclass(union(u,identity_relation),identity_relation)* member(singleton(v),u)* -> .
% 299.72/300.39  206422[5:Rew:118447.0,206384.0] || subclass(union(u,identity_relation),identity_relation) -> member(singleton(v),complement(u))*.
% 299.72/300.39  206668[5:Res:203299.1,25.1] || equal(complement(complement(u)),identity_relation) member(singleton(v),u)* -> .
% 299.72/300.39  206719[5:Rew:118447.0,206681.0] || equal(union(u,identity_relation),identity_relation) member(singleton(v),u)* -> .
% 299.72/300.39  206720[5:Rew:118447.0,206682.0] || equal(union(u,identity_relation),identity_relation) -> member(singleton(v),complement(u))*.
% 299.72/300.39  206723[5:Rew:56.0,206700.0] || equal(power_class(u),identity_relation) member(singleton(v),power_class(u))* -> .
% 299.72/300.39  206953[5:Rew:203274.1,206952.1] || equal(identity_relation,u) -> equal(symmetric_difference(u,v),complement(complement(v)))**.
% 299.72/300.39  206962[5:Rew:206953.1,206961.1] || equal(identity_relation,u) -> equal(complement(complement(singleton(u))),successor(u))**.
% 299.72/300.39  206964[5:Rew:206953.1,206963.1] || equal(identity_relation,u) -> equal(complement(complement(inverse(u))),symmetrization_of(u))**.
% 299.72/300.39  207038[5:SpR:204384.1,160.0] || equal(union(u,v),identity_relation) -> equal(symmetric_difference(u,v),identity_relation)**.
% 299.72/300.39  207039[5:SpR:204384.1,932.0] || equal(successor(u),identity_relation) -> equal(symmetric_difference(u,singleton(u)),identity_relation)**.
% 299.72/300.39  207040[5:SpR:204384.1,931.0] || equal(symmetrization_of(u),identity_relation) -> equal(symmetric_difference(u,inverse(u)),identity_relation)**.
% 299.72/300.39  207064[5:SpR:204384.1,86316.0] || equal(complement(inverse(u)),identity_relation) -> subclass(complement(symmetrization_of(u)),identity_relation)*.
% 299.72/300.39  207136[5:Rew:118446.0,206984.1,22454.0,206984.1] || equal(identity_relation,u) -> equal(symmetric_difference(v,u),union(v,u))**.
% 299.72/300.39  207143[5:Rew:203283.1,207142.1,207136.1,207142.1] || equal(singleton(u),identity_relation) -> equal(union(u,identity_relation),successor(u))**.
% 299.72/300.39  207145[5:Rew:203283.1,207144.1,207136.1,207144.1] || equal(inverse(u),identity_relation) -> equal(union(u,identity_relation),symmetrization_of(u))**.
% 299.72/300.39  207319[5:Rew:118446.0,207164.1,22454.0,207164.1] || subclass(u,identity_relation) -> equal(symmetric_difference(u,v),union(u,v))**.
% 299.72/300.39  207432[5:SpR:204799.1,160.0] || subclass(union(u,v),identity_relation)* -> equal(symmetric_difference(u,v),identity_relation).
% 299.72/300.39  207433[5:SpR:204799.1,932.0] || subclass(successor(u),identity_relation) -> equal(symmetric_difference(u,singleton(u)),identity_relation)**.
% 299.72/300.39  207434[5:SpR:204799.1,931.0] || subclass(symmetrization_of(u),identity_relation) -> equal(symmetric_difference(u,inverse(u)),identity_relation)**.
% 299.72/300.39  207458[5:SpR:204799.1,86316.0] || subclass(complement(inverse(u)),identity_relation) -> subclass(complement(symmetrization_of(u)),identity_relation)*.
% 299.72/300.39  207519[5:Rew:118446.0,207376.1,22454.0,207376.1] || subclass(u,identity_relation) -> equal(symmetric_difference(v,u),union(v,u))**.
% 299.72/300.39  208022[17:SpR:203228.1,207960.0] || equal(identity_relation,u) -> equal(cantor(regular(complement(power_class(u)))),identity_relation)**.
% 299.72/300.39  208082[17:SpR:203228.1,207961.0] || equal(identity_relation,u) -> equal(domain_of(regular(complement(power_class(u)))),identity_relation)**.
% 299.72/300.39  209478[17:SoR:209304.0,4792.2] single_valued_class(power_class(identity_relation)) || equal(cross_product(universal_class,universal_class),power_class(identity_relation))** -> .
% 299.72/300.39  209482[17:SoR:209295.0,4792.2] single_valued_class(singleton(u)) || equal(cross_product(universal_class,universal_class),singleton(u))* -> .
% 299.72/300.39  209492[17:SoR:209309.0,8479.2] single_valued_class(unordered_pair(u,v)) || equal(unordered_pair(u,v),identity_relation)** -> .
% 299.72/300.39  209630[15:SpR:208993.1,120735.0] function(inverse(cross_product(u,universal_class))) ||  -> subclass(universal_class,image(universal_class,u))*.
% 299.72/300.39  210238[15:SpR:210176.1,43.0] one_to_one(restrict(u,v,universal_class)) ||  -> equal(image(u,v),universal_class)**.
% 299.72/300.39  210401[17:SpR:210378.1,44.0] one_to_one(u) ||  -> equal(union(inverse(u),identity_relation),successor(inverse(u)))**.
% 299.72/300.39  210648[17:Res:209752.1,125680.1] function(u) || equal(complement(ordered_pair(u,v)),singleton(identity_relation))** -> .
% 299.72/300.39  210861[5:Rew:207182.1,210774.0] || member(identity_relation,intersection(sum_class(u),universal_class))* subclass(element_relation,identity_relation) -> .
% 299.72/300.39  210874[5:Res:201827.1,208753.0] || subclass(complement(rest_of(singleton(u))),identity_relation)* subclass(element_relation,identity_relation) -> .
% 299.72/300.39  210945[17:SpR:209751.1,179749.0] function(u) ||  -> member(identity_relation,successor(u)) member(identity_relation,complement(u))*.
% 299.72/300.39  210946[17:SpR:209751.1,179748.1] function(u) || member(identity_relation,u) -> member(identity_relation,successor(u))*.
% 299.72/300.39  210948[17:SpR:209751.1,204700.1] function(u) || subclass(u,identity_relation)* -> equal(successor(u),identity_relation).
% 299.72/300.39  210983[17:Res:210402.1,178202.1] one_to_one(u) || equal(complement(ordered_pair(inverse(u),v)),omega)** -> .
% 299.72/300.39  211375[5:Rew:202351.1,211354.1] || equal(power_class(universal_class),identity_relation) -> subclass(universal_class,image(element_relation,power_class(universal_class)))*.
% 299.72/300.39  194016[15:SpR:124149.0,194012.1] ||  -> member(singleton(identity_relation),complement(inverse(identity_relation)))* member(singleton(identity_relation),symmetrization_of(identity_relation)).
% 299.72/300.39  179003[5:SpR:122494.0,119596.0] ||  -> subclass(symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.39  178963[5:SpR:25719.0,118447.0] ||  -> equal(union(complement(inverse(identity_relation)),identity_relation),complement(intersection(symmetrization_of(identity_relation),universal_class)))**.
% 299.72/300.39  124238[5:SpL:124149.0,25.1] || member(u,complement(inverse(identity_relation)))* member(u,symmetrization_of(identity_relation)) -> .
% 299.72/300.39  178989[5:Rew:124149.0,178965.0] || member(u,symmetrization_of(identity_relation)) -> member(u,intersection(symmetrization_of(identity_relation),universal_class))*.
% 299.72/300.39  124233[5:SpL:124149.0,27247.1] || equal(complement(inverse(identity_relation)),domain_relation)** equal(symmetrization_of(identity_relation),domain_relation) -> .
% 299.72/300.39  124232[5:SpL:124149.0,27118.1] || subclass(domain_relation,complement(inverse(identity_relation)))* subclass(domain_relation,symmetrization_of(identity_relation)) -> .
% 299.72/300.39  124277[5:Res:124215.0,8.0] || subclass(inverse(identity_relation),symmetrization_of(identity_relation))* -> equal(symmetrization_of(identity_relation),inverse(identity_relation)).
% 299.72/300.39  124228[5:SpR:124149.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),symmetrization_of(identity_relation)),union(u,complement(inverse(identity_relation))))*.
% 299.72/300.39  124221[5:SpR:124149.0,8614.0] ||  -> subclass(symmetric_difference(symmetrization_of(identity_relation),complement(u)),union(complement(inverse(identity_relation)),u))*.
% 299.72/300.39  176609[9:Res:45819.1,168277.0] || subclass(complement(inverse(identity_relation)),cantor(u))* -> member(identity_relation,domain_of(u)).
% 299.72/300.39  207994[15:Rew:191663.0,207977.1] || member(singleton(singleton(identity_relation)),element_relation)* -> member(identity_relation,sum_class(range_of(identity_relation))).
% 299.72/300.39  212548[20:SoR:212514.0,8479.2] single_valued_class(regular(symmetrization_of(identity_relation))) || equal(regular(symmetrization_of(identity_relation)),identity_relation)** -> .
% 299.72/300.39  212551[17:SoR:212530.0,8479.2] single_valued_class(least(element_relation,omega)) || equal(least(element_relation,omega),identity_relation)** -> .
% 299.72/300.39  213054[20:SpL:212520.0,122838.1] || subclass(rest_relation,rest_of(regular(symmetrization_of(identity_relation))))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.39  213135[17:Res:207942.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(regular(complement(power_class(identity_relation)))),identity_relation)**.
% 299.72/300.39  213136[17:Res:208126.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(regular(complement(power_class(universal_class)))),identity_relation)**.
% 299.72/300.39  213137[17:Res:207784.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(regular(complement(symmetrization_of(identity_relation)))),identity_relation)**.
% 299.72/300.39  213221[17:SpL:212536.0,122838.1] || subclass(rest_relation,rest_of(least(element_relation,omega)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.39  213311[17:Res:207942.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(regular(complement(power_class(identity_relation)))),identity_relation)**.
% 299.72/300.39  213312[17:Res:208126.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(regular(complement(power_class(universal_class)))),identity_relation)**.
% 299.72/300.39  213313[17:Res:207784.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(regular(complement(symmetrization_of(identity_relation)))),identity_relation)**.
% 299.72/300.39  213771[5:Res:52.1,5362.0] inductive(singleton(u)) ||  -> equal(integer_of(v),identity_relation)** equal(v,u)*.
% 299.72/300.39  213891[17:Res:195387.1,146.0] || subclass(domain_relation,rotate(rest_relation)) -> equal(rest_of(ordered_pair(u,identity_relation)),v)*.
% 299.72/300.39  213903[17:Res:195387.1,46.0] || subclass(domain_relation,rotate(successor_relation)) -> equal(successor(ordered_pair(u,identity_relation)),v)*.
% 299.72/300.39  213930[17:MRR:213858.1,202145.0] || subclass(domain_relation,rotate(complement(singleton(ordered_pair(ordered_pair(u,identity_relation),v)))))* -> .
% 299.72/300.39  213993[17:Res:195388.1,146.0] || subclass(domain_relation,flip(rest_relation)) -> equal(rest_of(ordered_pair(u,v)),identity_relation)**.
% 299.72/300.39  214021[17:MRR:213960.1,202145.0] || subclass(domain_relation,flip(complement(singleton(ordered_pair(ordered_pair(u,v),identity_relation)))))* -> .
% 299.72/300.39  214285[5:Rew:124149.0,214226.1] ||  -> member(not_subclass_element(symmetrization_of(identity_relation),u),inverse(identity_relation))* subclass(symmetrization_of(identity_relation),u).
% 299.72/300.39  214975[4:Res:212361.1,25.1] || subclass(omega,complement(u)) member(least(element_relation,omega),u)* -> .
% 299.72/300.39  214979[4:Res:212361.1,22.0] || subclass(omega,intersection(u,v))* -> member(least(element_relation,omega),u)*.
% 299.72/300.39  214980[4:Res:212361.1,23.0] || subclass(omega,intersection(u,v))* -> member(least(element_relation,omega),v)*.
% 299.72/300.39  214993[5:Res:212361.1,29473.0] || subclass(omega,domain_of(u)) -> member(least(element_relation,omega),cantor(u))*.
% 299.72/300.39  215008[5:Res:212361.1,208753.0] || subclass(omega,rest_of(least(element_relation,omega)))* subclass(element_relation,identity_relation) -> .
% 299.72/300.39  215094[5:Res:783.1,153534.1] || subclass(ordered_pair(u,v),w)* equal(complement(w),universal_class) -> .
% 299.72/300.39  215102[5:MRR:215059.1,202156.0] || subclass(ordered_pair(u,v),complement(singleton(unordered_pair(u,singleton(v)))))* -> .
% 299.72/300.39  215124[20:Res:212523.1,25.1] || subclass(universal_class,complement(u)) member(regular(symmetrization_of(identity_relation)),u)* -> .
% 299.72/300.39  215128[20:Res:212523.1,22.0] || subclass(universal_class,intersection(u,v))* -> member(regular(symmetrization_of(identity_relation)),u)*.
% 299.72/300.39  215129[20:Res:212523.1,23.0] || subclass(universal_class,intersection(u,v))* -> member(regular(symmetrization_of(identity_relation)),v)*.
% 299.72/300.39  215232[4:Res:212539.1,25.1] || subclass(universal_class,complement(u)) member(least(element_relation,omega),u)* -> .
% 299.72/300.39  215236[4:Res:212539.1,22.0] || subclass(universal_class,intersection(u,v))* -> member(least(element_relation,omega),u)*.
% 299.72/300.39  215237[4:Res:212539.1,23.0] || subclass(universal_class,intersection(u,v))* -> member(least(element_relation,omega),v)*.
% 299.72/300.39  215347[20:Res:45819.1,214823.0] || subclass(inverse(identity_relation),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.39  215362[20:Res:45819.1,214825.0] || subclass(symmetrization_of(identity_relation),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.39  215813[20:MRR:215768.1,212353.0] || subclass(rest_relation,domain_relation) -> member(ordered_pair(regular(symmetrization_of(identity_relation)),identity_relation),rest_relation)*.
% 299.72/300.39  215867[17:MRR:215826.1,212362.0] || subclass(rest_relation,domain_relation) -> member(ordered_pair(least(element_relation,omega),identity_relation),rest_relation)*.
% 299.72/300.39  216195[5:Res:205135.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(power_class(identity_relation)),successor(power_class(identity_relation)))**.
% 299.72/300.39  216333[5:SpL:69.0,208736.0] || equal(complement(apply(u,v)),identity_relation)** subclass(element_relation,identity_relation) -> .
% 299.72/300.39  216344[7:SpL:69.0,208739.0] || equal(apply(u,v),singleton(identity_relation))** subclass(element_relation,identity_relation) -> .
% 299.72/300.39  217163[17:MRR:217117.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(unordered_pair(v,w)))* -> .
% 299.72/300.39  217164[17:MRR:217118.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(ordered_pair(v,w)))* -> .
% 299.72/300.39  217165[20:MRR:217123.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(regular(symmetrization_of(identity_relation))))* -> .
% 299.72/300.39  217166[17:MRR:217133.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(least(element_relation,omega)))* -> .
% 299.72/300.39  217295[5:Res:201827.1,693.0] || subclass(complement(rest_of(u)),identity_relation) -> member(singleton(v),domain_of(u))*.
% 299.72/300.39  217300[0:Res:122840.1,693.0] || well_ordering(universal_class,complement(rest_of(u)))* -> member(singleton(v),domain_of(u))*.
% 299.72/300.39  217848[7:Res:125624.1,204088.1] || equal(power_class(u),singleton(identity_relation))** equal(power_class(u),identity_relation) -> .
% 299.72/300.39  218138[5:SpL:203228.1,218135.0] || equal(identity_relation,u) equal(unordered_pair(power_class(u),v),identity_relation)** -> .
% 299.72/300.39  218173[5:SpL:203228.1,218170.0] || equal(identity_relation,u) equal(unordered_pair(v,power_class(u)),identity_relation)** -> .
% 299.72/300.39  218446[5:Res:202851.1,218089.0] || equal(complement(complement(omega)),identity_relation) -> equal(integer_of(power_class(identity_relation)),identity_relation)**.
% 299.72/300.39  218842[7:MRR:218841.2,5188.0] || equal(range_of(u),identity_relation) equal(range_of(u),singleton(identity_relation))** -> .
% 299.72/300.39  219311[5:Res:207244.1,207228.0] || subclass(complement(u),identity_relation) -> equal(symmetric_difference(universal_class,successor(u)),identity_relation)**.
% 299.72/300.39  219345[5:Res:201827.1,806.0] || subclass(complement(cross_product(u,v)),identity_relation)* -> member(singleton(w),u)*.
% 299.72/300.39  219351[0:Res:122840.1,806.0] || well_ordering(universal_class,complement(cross_product(u,v)))* -> member(singleton(w),u)*.
% 299.72/300.39  219415[5:Res:207245.1,207228.0] || subclass(complement(u),identity_relation) -> equal(symmetric_difference(universal_class,symmetrization_of(u)),identity_relation)**.
% 299.72/300.39  220267[11:MRR:220236.2,203685.0] || subclass(universal_class,u) subclass(complement(power_class(identity_relation)),complement(u))* -> .
% 299.72/300.39  220268[10:MRR:220239.2,203686.0] || subclass(universal_class,u) subclass(complement(power_class(universal_class)),complement(u))* -> .
% 299.72/300.39  220469[9:MRR:220457.2,203684.0] || subclass(universal_class,u) subclass(complement(symmetrization_of(identity_relation)),complement(u))* -> .
% 299.72/300.39  220616[20:Res:212352.1,1054.0] || subclass(inverse(identity_relation),singleton(u))* -> equal(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.39  220671[20:MRR:220660.2,212333.0] || subclass(inverse(identity_relation),u) subclass(symmetrization_of(identity_relation),complement(u))* -> .
% 299.72/300.39  220814[14:MRR:220810.0,5265.0] || equal(complement(union(u,v)),omega)** -> member(identity_relation,complement(u)).
% 299.72/300.39  220815[15:MRR:220801.0,176.0] || well_ordering(universal_class,union(u,v))* -> member(singleton(identity_relation),complement(u)).
% 299.72/300.39  220876[17:MRR:220826.1,12.0] || subclass(rest_relation,domain_relation) -> member(ordered_pair(unordered_pair(u,v),identity_relation),rest_relation)*.
% 299.72/300.39  220930[14:MRR:220924.0,5265.0] || equal(complement(union(u,v)),omega)** -> member(identity_relation,complement(v)).
% 299.72/300.39  220931[15:MRR:220915.0,176.0] || well_ordering(universal_class,union(u,v))* -> member(singleton(identity_relation),complement(v)).
% 299.72/300.39  220992[17:MRR:220937.1,641.0] || subclass(rest_relation,domain_relation) -> member(ordered_pair(ordered_pair(u,v),identity_relation),rest_relation)*.
% 299.72/300.39  221411[20:Res:214397.1,1054.0] || subclass(symmetrization_of(identity_relation),singleton(u))* -> equal(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.39  221596[20:Res:215987.1,221552.1] || equal(power_class(identity_relation),identity_relation) equal(symmetrization_of(identity_relation),power_class(identity_relation))** -> .
% 299.72/300.39  221689[11:Res:63.1,214817.0] function(image(element_relation,universal_class)) || well_ordering(universal_class,cross_product(universal_class,universal_class))* -> .
% 299.72/300.39  221760[10:Res:63.1,214819.0] function(image(element_relation,identity_relation)) || well_ordering(universal_class,cross_product(universal_class,universal_class))* -> .
% 299.72/300.39  221777[9:Res:63.1,214822.0] function(complement(inverse(identity_relation))) || well_ordering(universal_class,cross_product(universal_class,universal_class))* -> .
% 299.72/300.39  221831[16:Res:63.1,214860.0] function(successor(range_of(identity_relation))) || well_ordering(universal_class,cross_product(universal_class,universal_class))* -> .
% 299.72/300.39  222015[5:SpR:204384.1,221961.0] || equal(complement(complement(u)),identity_relation) -> subclass(complement(complement(u)),identity_relation)*.
% 299.72/300.39  222271[5:Res:201827.1,222174.0] || subclass(complement(symmetrization_of(identity_relation)),identity_relation) -> member(singleton(u),inverse(identity_relation))*.
% 299.72/300.39  222289[5:Res:5615.1,222174.0] || subclass(domain_relation,symmetrization_of(identity_relation)) -> member(ordered_pair(identity_relation,identity_relation),inverse(identity_relation))*.
% 299.72/300.39  222340[20:MRR:222331.1,212333.0] || well_ordering(u,universal_class) -> member(least(u,symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.39  222366[0:SpR:222089.0,27.0] ||  -> equal(union(u,complement(complement(u))),complement(complement(complement(complement(u)))))**.
% 299.72/300.39  222383[5:SpR:124149.0,222089.0] ||  -> equal(intersection(complement(inverse(identity_relation)),complement(symmetrization_of(identity_relation))),complement(symmetrization_of(identity_relation)))**.
% 299.72/300.39  222459[5:Rew:22454.0,222401.1] || equal(power_class(u),universal_class) -> equal(intersection(power_class(u),universal_class),universal_class)**.
% 299.72/300.39  222607[5:SpL:124149.0,222412.0] || subclass(universal_class,complement(symmetrization_of(identity_relation))) -> member(omega,complement(inverse(identity_relation)))*.
% 299.72/300.39  222676[5:SpL:124149.0,222432.0] || member(u,complement(symmetrization_of(identity_relation)))* -> member(u,complement(inverse(identity_relation))).
% 299.72/300.39  222702[5:Res:201827.1,222432.0] || subclass(complement(complement(complement(u))),identity_relation)* -> member(singleton(v),u)*.
% 299.72/300.39  222749[20:Res:212523.1,222432.0] || subclass(universal_class,complement(complement(u))) -> member(regular(symmetrization_of(identity_relation)),u)*.
% 299.72/300.39  222767[4:Res:212539.1,222432.0] || subclass(universal_class,complement(complement(u))) -> member(least(element_relation,omega),u)*.
% 299.72/300.39  222768[4:Res:212361.1,222432.0] || subclass(omega,complement(complement(u))) -> member(least(element_relation,omega),u)*.
% 299.72/300.39  223086[5:Res:202851.1,218119.0] || equal(complement(complement(complement(u))),identity_relation)** -> member(power_class(identity_relation),u).
% 299.72/300.39  223122[5:Res:223091.1,25.1] || equal(complement(complement(u)),identity_relation) member(power_class(identity_relation),u)* -> .
% 299.72/300.39  223127[5:Res:223091.1,22.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(power_class(identity_relation),u).
% 299.72/300.39  223128[5:Res:223091.1,23.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(power_class(identity_relation),v).
% 299.72/300.39  223174[5:Rew:118447.0,223137.0] || equal(union(u,identity_relation),identity_relation) member(power_class(identity_relation),u)* -> .
% 299.72/300.39  223175[5:Rew:118447.0,223138.0] || equal(union(u,identity_relation),identity_relation) -> member(power_class(identity_relation),complement(u))*.
% 299.72/300.39  223181[5:Rew:56.0,223156.0] || equal(power_class(u),identity_relation) member(power_class(identity_relation),power_class(u))* -> .
% 299.72/300.39  224301[5:Res:153612.1,219310.0] || equal(complement(complement(u)),universal_class)** -> equal(complement(successor(u)),identity_relation).
% 299.72/300.39  224391[5:Res:153612.1,219370.0] || equal(complement(complement(u)),universal_class) subclass(successor(u),identity_relation)* -> .
% 299.72/300.39  224477[5:Res:153612.1,219414.0] || equal(complement(complement(u)),universal_class) -> equal(complement(symmetrization_of(u)),identity_relation)**.
% 299.72/300.39  224485[5:MRR:224453.1,5184.0] || equal(complement(u),universal_class) -> equal(complement(symmetrization_of(complement(u))),identity_relation)**.
% 299.72/300.39  224487[5:MRR:224463.1,5184.0] || equal(inverse(u),universal_class) -> equal(complement(symmetrization_of(inverse(u))),identity_relation)**.
% 299.72/300.39  224489[5:MRR:224473.1,5184.0] || equal(power_class(u),universal_class) -> equal(complement(symmetrization_of(power_class(u))),identity_relation)**.
% 299.72/300.39  224491[5:MRR:224474.1,5184.0] || equal(sum_class(u),universal_class) -> equal(complement(symmetrization_of(sum_class(u))),identity_relation)**.
% 299.72/300.39  224493[5:MRR:224475.1,5184.0] || equal(range_of(u),universal_class) -> equal(complement(symmetrization_of(range_of(u))),identity_relation)**.
% 299.72/300.39  224561[12:Res:203246.1,219825.0] || equal(complement(ordinal_add(u,v)),identity_relation)** subclass(element_relation,identity_relation) -> .
% 299.72/300.39  224564[12:Res:125624.1,219825.0] || equal(ordinal_add(u,v),singleton(identity_relation))** subclass(element_relation,identity_relation) -> .
% 299.72/300.39  224840[0:MRR:224804.0,57.1] || member(u,universal_class) subclass(universal_class,complement(singleton(power_class(u))))* -> .
% 299.72/300.39  224937[0:Rew:124469.0,224926.1] || subclass(universal_class,complement(u)) member(omega,complement(complement(u)))* -> .
% 299.72/300.39  225684[0:MRR:225648.0,55.1] || member(u,universal_class) subclass(universal_class,complement(singleton(sum_class(u))))* -> .
% 299.72/300.39  226379[17:Res:195614.1,964.0] || subclass(domain_relation,compose_class(u)) -> equal(compose(u,singleton(identity_relation)),identity_relation)**.
% 299.72/300.39  227286[0:SpR:120676.0,227180.0] ||  -> subclass(complement(image(universal_class,u)),complement(cantor(inverse(cross_product(u,universal_class)))))*.
% 299.72/300.39  227293[5:Res:227180.0,5229.1] inductive(complement(range_of(u))) ||  -> member(identity_relation,complement(cantor(inverse(u))))*.
% 299.72/300.39  227304[5:Rew:22714.0,227284.0] ||  -> subclass(complement(image(u,v)),complement(intersection(image(u,v),universal_class)))*.
% 299.72/300.39  227310[5:SpR:69.0,227239.0] ||  -> subclass(complement(apply(u,v)),complement(intersection(apply(u,v),universal_class)))*.
% 299.72/300.39  227345[5:Rew:6791.0,227318.1] || equal(complement(sum_class(u)),identity_relation) -> subclass(complement(sum_class(u)),identity_relation)*.
% 299.72/300.39  227374[5:Rew:6791.0,227355.1] || equal(complement(inverse(u)),identity_relation) -> subclass(complement(inverse(u)),identity_relation)*.
% 299.72/300.39  227410[9:Res:227368.0,2.0] || subclass(complement(intersection(inverse(identity_relation),universal_class)),u)* -> member(identity_relation,u).
% 299.72/300.39  227425[9:Res:227422.0,3924.0] || subclass(symmetric_difference(inverse(identity_relation),universal_class),u)* well_ordering(universal_class,u) -> .
% 299.72/300.39  227566[5:Obv:227506.1] || member(u,v) -> equal(intersection(complement(v),singleton(u)),identity_relation)**.
% 299.72/300.39  227651[5:SpR:27.0,227539.0] ||  -> equal(intersection(union(u,v),intersection(complement(u),complement(v))),identity_relation)**.
% 299.72/300.39  227664[7:SpR:189471.0,227539.0] ||  -> equal(intersection(power_class(complement(singleton(identity_relation))),image(element_relation,singleton(identity_relation))),identity_relation)**.
% 299.72/300.39  227666[5:SpR:122494.0,227539.0] ||  -> equal(intersection(power_class(complement(inverse(identity_relation))),image(element_relation,symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.39  227789[7:SpR:189471.0,227712.0] ||  -> equal(union(power_class(complement(singleton(identity_relation))),image(element_relation,singleton(identity_relation))),universal_class)**.
% 299.72/300.39  227791[5:SpR:122494.0,227712.0] ||  -> equal(union(power_class(complement(inverse(identity_relation))),image(element_relation,symmetrization_of(identity_relation))),universal_class)**.
% 299.72/300.39  227841[5:SpR:27.0,227727.0] ||  -> equal(symmetric_difference(union(u,v),intersection(complement(u),complement(v))),universal_class)**.
% 299.72/300.39  227854[7:SpR:189471.0,227727.0] ||  -> equal(symmetric_difference(power_class(complement(singleton(identity_relation))),image(element_relation,singleton(identity_relation))),universal_class)**.
% 299.72/300.39  227856[5:SpR:122494.0,227727.0] ||  -> equal(symmetric_difference(power_class(complement(inverse(identity_relation))),image(element_relation,symmetrization_of(identity_relation))),universal_class)**.
% 299.72/300.39  228196[5:Rew:22454.0,227996.0] ||  -> equal(union(image(element_relation,symmetrization_of(identity_relation)),power_class(complement(inverse(identity_relation)))),universal_class)**.
% 299.72/300.39  228197[7:Rew:22454.0,227999.0] ||  -> equal(union(image(element_relation,singleton(identity_relation)),power_class(complement(singleton(identity_relation)))),universal_class)**.
% 299.72/300.39  228250[5:MRR:228115.2,5188.0] inductive(symmetric_difference(u,u)) || well_ordering(v,complement(complement(u)))* -> .
% 299.72/300.39  228266[5:Obv:227923.1] || member(u,v) -> equal(intersection(singleton(u),complement(v)),identity_relation)**.
% 299.72/300.39  228397[5:SpR:27.0,227957.0] ||  -> equal(intersection(intersection(complement(u),complement(v)),union(u,v)),identity_relation)**.
% 299.72/300.39  228410[7:SpR:189471.0,227957.0] ||  -> equal(intersection(image(element_relation,singleton(identity_relation)),power_class(complement(singleton(identity_relation)))),identity_relation)**.
% 299.72/300.39  228412[5:SpR:122494.0,227957.0] ||  -> equal(intersection(image(element_relation,symmetrization_of(identity_relation)),power_class(complement(inverse(identity_relation)))),identity_relation)**.
% 299.72/300.39  228564[5:SpR:27.0,228195.0] ||  -> equal(symmetric_difference(intersection(complement(u),complement(v)),union(u,v)),universal_class)**.
% 299.72/300.39  228577[7:SpR:189471.0,228195.0] ||  -> equal(symmetric_difference(image(element_relation,singleton(identity_relation)),power_class(complement(singleton(identity_relation)))),universal_class)**.
% 299.72/300.39  228579[5:SpR:122494.0,228195.0] ||  -> equal(symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),power_class(complement(inverse(identity_relation)))),universal_class)**.
% 299.72/300.39  228775[5:MRR:228774.2,225083.0] || subclass(universal_class,regular(complement(u))) -> member(unordered_pair(v,w),u)*.
% 299.72/300.39  229042[5:Rew:229017.0,222128.0] ||  -> equal(intersection(complement(symmetrization_of(identity_relation)),union(inverse(identity_relation),symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.39  229058[5:Rew:22454.0,229002.1] || equal(inverse(u),universal_class) -> equal(symmetric_difference(inverse(u),universal_class),identity_relation)**.
% 299.72/300.39  229059[5:Rew:22454.0,229012.1] || equal(power_class(u),universal_class) -> equal(symmetric_difference(power_class(u),universal_class),identity_relation)**.
% 299.72/300.39  229060[5:Rew:22454.0,229013.1] || equal(sum_class(u),universal_class) -> equal(symmetric_difference(sum_class(u),universal_class),identity_relation)**.
% 299.72/300.39  230339[0:MRR:230297.0,29531.1] || subclass(u,complement(singleton(not_subclass_element(u,v))))* -> subclass(u,v).
% 299.72/300.39  230397[5:Res:230113.0,5229.1] inductive(regular(u)) ||  -> equal(u,identity_relation) member(identity_relation,complement(u))*.
% 299.72/300.39  231691[17:SpR:209751.1,227656.0] function(u) ||  -> equal(intersection(successor(u),symmetric_difference(universal_class,u)),identity_relation)**.
% 299.72/300.39  232044[17:SpR:209751.1,227723.0] function(u) ||  -> equal(union(successor(u),symmetric_difference(universal_class,u)),universal_class)**.
% 299.72/300.39  232111[17:SpR:209751.1,227846.0] function(u) ||  -> equal(symmetric_difference(successor(u),symmetric_difference(universal_class,u)),universal_class)**.
% 299.72/300.39  232229[17:SpR:209751.1,228176.0] function(u) ||  -> equal(union(symmetric_difference(universal_class,u),successor(u)),universal_class)**.
% 299.72/300.39  232406[17:SpR:209751.1,228402.0] function(u) ||  -> equal(intersection(symmetric_difference(universal_class,u),successor(u)),identity_relation)**.
% 299.72/300.39  232634[17:SpR:209751.1,228569.0] function(u) ||  -> equal(symmetric_difference(symmetric_difference(universal_class,u),successor(u)),universal_class)**.
% 299.72/300.39  233022[15:MRR:233018.1,201952.0] || equal(complement(u),identity_relation) -> equal(regular(unordered_pair(u,identity_relation)),identity_relation)**.
% 299.72/300.39  233237[15:MRR:233234.1,202022.0] || equal(complement(u),identity_relation) -> equal(regular(unordered_pair(identity_relation,u)),identity_relation)**.
% 299.72/300.39  233382[5:Res:230404.0,27184.1] || equal(complement(complement(singleton(domain_relation))),domain_relation)** -> equal(singleton(domain_relation),identity_relation).
% 299.72/300.39  233426[5:MRR:233377.1,202156.0] || member(u,universal_class) -> member(u,complement(singleton(unordered_pair(u,v))))*.
% 299.72/300.40  233427[5:MRR:233379.1,202156.0] || member(u,universal_class) -> member(u,complement(singleton(unordered_pair(v,u))))*.
% 299.72/300.40  233483[5:SpR:233410.0,783.1] || subclass(ordered_pair(u,universal_class),v) -> member(unordered_pair(u,identity_relation),v)*.
% 299.72/300.40  233496[5:SpR:233410.0,7513.0] ||  -> equal(integer_of(image(u,identity_relation)),identity_relation) member(apply(u,universal_class),universal_class)*.
% 299.72/300.40  233513[5:SpL:233410.0,801.0] || member(singleton(singleton(identity_relation)),cross_product(u,v))* -> member(universal_class,v).
% 299.72/300.40  233573[5:SpL:233410.0,331.0] || member(image(u,identity_relation),universal_class) -> member(apply(u,universal_class),universal_class)*.
% 299.72/300.40  233599[15:Rew:233494.0,192397.0] ||  -> equal(recursion(identity_relation,apply(add_relation,universal_class),identity_relation),ordinal_multiply(range_of(identity_relation),u))*.
% 299.72/300.40  233619[17:Rew:233494.0,210450.1] one_to_one(u) ||  -> equal(apply(v,inverse(u)),apply(v,universal_class))**.
% 299.72/300.40  233649[17:Rew:233634.0,210542.1] one_to_one(u) ||  -> equal(ordered_pair(v,inverse(u)),ordered_pair(v,universal_class))**.
% 299.72/300.40  233657[15:Rew:233634.0,193883.0] || member(ordered_pair(u,universal_class),element_relation)* -> member(u,sum_class(range_of(identity_relation))).
% 299.72/300.40  233686[15:Rew:233676.0,191822.1] || section(u,identity_relation,v) -> equal(segment(u,v,universal_class),identity_relation)**.
% 299.72/300.40  233687[15:Rew:233676.0,191834.0] || subclass(segment(u,v,universal_class),identity_relation)* -> section(u,identity_relation,v).
% 299.72/300.40  233688[15:Rew:233676.0,191943.0] ||  -> equal(segment(u,v,sum_class(range_of(identity_relation))),segment(u,v,universal_class))**.
% 299.72/300.40  233697[17:MRR:220187.2,233693.0] single_valued_class(rest_of(identity_relation)) || equal(cross_product(universal_class,universal_class),rest_of(identity_relation))** -> .
% 299.72/300.40  233720[15:Rew:233711.0,191948.0] ||  -> equal(range__dfg(u,sum_class(range_of(identity_relation)),v),range__dfg(u,universal_class,v))**.
% 299.72/300.40  233731[15:Rew:233722.0,191949.0] ||  -> equal(domain__dfg(u,v,sum_class(range_of(identity_relation))),domain__dfg(u,v,universal_class))**.
% 299.72/300.40  233744[15:Rew:192089.1,233743.1] || member(singleton(singleton(identity_relation)),compose_class(u))* -> equal(range_of(identity_relation),universal_class).
% 299.72/300.40  233746[15:Rew:233744.1,226386.1] || member(singleton(singleton(identity_relation)),compose_class(u))* -> equal(sum_class(universal_class),universal_class).
% 299.72/300.40  233968[5:MRR:233951.0,53.0] ||  -> equal(integer_of(singleton(omega)),identity_relation) member(singleton(singleton(singleton(omega))),element_relation)*.
% 299.72/300.40  234002[7:Res:233415.0,3924.0] || subclass(complement(singleton(singleton(identity_relation))),u)* well_ordering(universal_class,u) -> .
% 299.72/300.40  234524[15:Rew:192091.1,234483.1] || member(singleton(singleton(identity_relation)),rest_of(u))* -> equal(range_of(identity_relation),universal_class).
% 299.72/300.40  234640[15:Rew:234525.1,234639.1,234524.1,234639.1] || member(singleton(singleton(identity_relation)),rest_of(u))* -> equal(sum_class(universal_class),universal_class).
% 299.72/300.40  234919[17:MRR:234860.1,5188.0] || member(u,universal_class) -> equal(apply(omega,u),sum_class(range_of(identity_relation)))**.
% 299.72/300.40  234984[15:Res:233425.0,125680.1] || equal(complement(complement(singleton(ordered_pair(range_of(identity_relation),u)))),singleton(identity_relation))** -> .
% 299.72/300.40  235131[5:SpR:204196.1,233494.0] || equal(power_class(universal_class),identity_relation) -> equal(apply(element_relation,universal_class),sum_class(universal_class))**.
% 299.72/300.40  235212[6:MRR:235198.2,122334.0] || well_ordering(u,universal_class) -> equal(integer_of(least(u,complement(omega))),identity_relation)**.
% 299.72/300.40  235309[15:SpL:233634.0,146.0] || member(ordered_pair(u,universal_class),rest_relation)* -> equal(rest_of(u),range_of(identity_relation)).
% 299.72/300.40  235324[15:SpL:233634.0,100.0] || member(ordered_pair(u,universal_class),domain_relation)* -> equal(domain_of(u),range_of(identity_relation)).
% 299.72/300.40  235339[15:SpL:233634.0,46.0] || member(ordered_pair(u,universal_class),successor_relation)* -> equal(successor(u),range_of(identity_relation)).
% 299.72/300.40  235496[17:SpR:210378.1,233421.0] one_to_one(u) ||  -> member(identity_relation,complement(singleton(ordered_pair(inverse(u),v))))*.
% 299.72/300.40  235519[5:Res:235498.0,2.0] || subclass(complement(singleton(ordered_pair(universal_class,u))),v)* -> member(identity_relation,v).
% 299.72/300.40  235830[17:Rew:195327.0,235808.1] || subclass(rest_relation,flip(domain_relation)) -> equal(rest_of(ordered_pair(u,v)),identity_relation)**.
% 299.72/300.40  235871[17:SpL:210378.1,235506.0] one_to_one(u) || member(identity_relation,singleton(ordered_pair(inverse(u),v)))* -> .
% 299.72/300.40  236080[15:Res:235494.0,178202.1] || equal(complement(complement(singleton(ordered_pair(sum_class(range_of(identity_relation)),u)))),omega)** -> .
% 299.72/300.40  236326[5:Res:5615.1,233419.0] || subclass(domain_relation,singleton(omega)) -> equal(integer_of(ordered_pair(identity_relation,identity_relation)),identity_relation)**.
% 299.72/300.40  236543[5:SpR:233485.0,47679.0] ||  -> subclass(complement(complement(cantor(cross_product(u,identity_relation)))),segment(universal_class,u,universal_class))*.
% 299.72/300.40  236544[5:SpR:233485.0,45823.0] ||  -> subclass(intersection(cantor(cross_product(u,identity_relation)),v),segment(universal_class,u,universal_class))*.
% 299.72/300.40  236546[15:SpR:233485.0,208959.1] function(cross_product(u,identity_relation)) ||  -> equal(segment(universal_class,u,universal_class),universal_class)**.
% 299.72/300.40  236552[5:SpR:233485.0,227090.0] ||  -> subclass(complement(segment(universal_class,u,universal_class)),complement(cantor(cross_product(u,identity_relation))))*.
% 299.72/300.40  236563[5:SpR:233485.0,45825.0] ||  -> subclass(intersection(u,cantor(cross_product(v,identity_relation))),segment(universal_class,v,universal_class))*.
% 299.72/300.40  237052[5:MRR:237041.2,5188.0] || equal(u,universal_class) member(v,universal_class)* -> member(v,u)*.
% 299.72/300.40  237429[5:Obv:237316.0] ||  -> equal(intersection(singleton(u),intersection(v,w)),identity_relation)** member(u,w).
% 299.72/300.40  237587[5:SpR:29.0,237395.0] ||  -> equal(intersection(complement(cross_product(u,v)),restrict(w,u,v)),identity_relation)**.
% 299.72/300.40  237646[5:SpR:118447.0,237395.0] ||  -> equal(intersection(union(u,identity_relation),intersection(v,symmetric_difference(universal_class,u))),identity_relation)**.
% 299.72/300.40  237715[5:MRR:237581.2,5188.0] || member(u,intersection(v,w))* member(u,complement(w)) -> .
% 299.72/300.40  237833[5:Res:45819.1,233982.0] || subclass(ordered_pair(universal_class,u),cantor(v))* -> member(identity_relation,domain_of(v)).
% 299.72/300.40  238026[5:Obv:237909.0] ||  -> equal(intersection(singleton(u),intersection(v,w)),identity_relation)** member(u,v).
% 299.72/300.40  238307[5:SpR:22914.0,237985.0] ||  -> equal(intersection(complement(union(u,identity_relation)),symmetric_difference(complement(u),universal_class)),identity_relation)**.
% 299.72/300.40  238309[5:SpR:160.0,237985.0] ||  -> equal(intersection(complement(complement(intersection(u,v))),symmetric_difference(u,v)),identity_relation)**.
% 299.72/300.40  238355[5:SpR:118447.0,237985.0] ||  -> equal(intersection(union(u,identity_relation),intersection(symmetric_difference(universal_class,u),v)),identity_relation)**.
% 299.72/300.40  238422[5:MRR:238286.2,5188.0] || member(u,intersection(v,w))* member(u,complement(v)) -> .
% 299.72/300.40  238613[5:MRR:238464.2,5188.0] || member(u,cantor(v)) member(u,complement(domain_of(v)))* -> .
% 299.72/300.40  238825[5:Obv:238705.0] ||  -> equal(intersection(intersection(u,v),singleton(w)),identity_relation)** member(w,v).
% 299.72/300.40  238972[5:SpR:238781.0,145868.1] || subclass(complement(u),intersection(v,u))* -> equal(complement(u),identity_relation).
% 299.72/300.40  238995[5:SpR:118447.0,238781.0] ||  -> equal(intersection(intersection(u,symmetric_difference(universal_class,v)),union(v,identity_relation)),identity_relation)**.
% 299.72/300.40  239014[5:SpR:29.0,238781.0] ||  -> equal(intersection(restrict(u,v,w),complement(cross_product(v,w))),identity_relation)**.
% 299.72/300.40  239625[5:Obv:239499.0] ||  -> equal(intersection(intersection(u,v),singleton(w)),identity_relation)** member(w,u).
% 299.72/300.40  239882[5:SpR:239572.0,145868.1] || subclass(complement(u),intersection(u,v))* -> equal(complement(u),identity_relation).
% 299.72/300.40  239907[5:SpR:118447.0,239572.0] ||  -> equal(intersection(intersection(symmetric_difference(universal_class,u),v),union(u,identity_relation)),identity_relation)**.
% 299.72/300.40  239941[5:SpR:22914.0,239572.0] ||  -> equal(intersection(symmetric_difference(complement(u),universal_class),complement(union(u,identity_relation))),identity_relation)**.
% 299.72/300.40  239943[5:SpR:160.0,239572.0] ||  -> equal(intersection(symmetric_difference(u,v),complement(complement(intersection(u,v)))),identity_relation)**.
% 299.72/300.40  242116[5:Rew:6417.0,242080.0] ||  -> equal(domain__dfg(complement(cross_product(u,singleton(v))),u,v),single_valued3(identity_relation))**.
% 299.72/300.40  242119[5:MRR:242118.1,8453.1] || equal(identity_relation,u) -> section(complement(cross_product(v,u)),u,v)*.
% 299.72/300.40  242121[5:MRR:242120.1,5184.0] || subclass(u,v) -> section(complement(cross_product(v,u)),u,v)*.
% 299.72/300.40  242142[5:SpR:242089.0,69.0] ||  -> equal(apply(complement(cross_product(singleton(u),universal_class)),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.40  242186[17:SpL:209320.1,242117.0] function(u) || member(u,domain_of(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.40  242200[15:SpL:208959.1,242117.0] function(complement(cross_product(singleton(u),universal_class))) || member(u,universal_class)* -> .
% 299.72/300.40  242203[5:Res:203299.1,242117.0] || equal(complement(domain_of(complement(cross_product(singleton(singleton(u)),universal_class)))),identity_relation)** -> .
% 299.72/300.40  242204[5:Res:201827.1,242117.0] || subclass(complement(domain_of(complement(cross_product(singleton(singleton(u)),universal_class)))),identity_relation)* -> .
% 299.72/300.40  242208[5:Res:779.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(ordered_pair(u,v)),universal_class))))* -> .
% 299.72/300.40  242212[5:Res:762.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(unordered_pair(u,v)),universal_class))))* -> .
% 299.72/300.40  242214[5:Res:223091.1,242117.0] || equal(complement(domain_of(complement(cross_product(singleton(power_class(identity_relation)),universal_class)))),identity_relation)** -> .
% 299.72/300.40  242222[5:Res:5615.1,242117.0] || subclass(domain_relation,domain_of(complement(cross_product(singleton(ordered_pair(identity_relation,identity_relation)),universal_class))))* -> .
% 299.72/300.40  242243[20:Res:212523.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(regular(symmetrization_of(identity_relation))),universal_class))))* -> .
% 299.72/300.40  242256[5:Res:212539.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(least(element_relation,omega)),universal_class))))* -> .
% 299.72/300.40  242257[5:Res:212361.1,242117.0] || subclass(omega,domain_of(complement(cross_product(singleton(least(element_relation,omega)),universal_class))))* -> .
% 299.72/300.40  242339[5:SpL:202351.1,242194.0] || equal(cross_product(identity_relation,universal_class),identity_relation) member(universal_class,domain_of(universal_class))* -> .
% 299.72/300.40  242351[5:SpL:202351.1,242349.0] || equal(cross_product(identity_relation,universal_class),identity_relation) member(universal_class,cantor(universal_class))* -> .
% 299.72/300.40  243457[21:Rew:242761.0,243227.1] || equal(compose(identity_relation,identity_relation),identity_relation) -> subclass(compose(identity_relation,identity_relation),identity_relation)*.
% 299.72/300.40  243716[21:MRR:243715.2,47823.0] function(complement(subset_relation)) || subclass(cross_product(universal_class,universal_class),inverse(identity_relation))* -> .
% 299.72/300.40  244068[17:SpL:209320.1,242218.0] function(u) || member(u,cantor(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.40  244080[5:Res:203299.1,242218.0] || equal(complement(cantor(complement(cross_product(singleton(singleton(u)),universal_class)))),identity_relation)** -> .
% 299.72/300.40  244081[5:Res:201827.1,242218.0] || subclass(complement(cantor(complement(cross_product(singleton(singleton(u)),universal_class)))),identity_relation)* -> .
% 299.72/300.40  244085[5:Res:779.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(ordered_pair(u,v)),universal_class))))* -> .
% 299.72/300.40  244089[5:Res:762.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(unordered_pair(u,v)),universal_class))))* -> .
% 299.72/300.40  244091[5:Res:223091.1,242218.0] || equal(complement(cantor(complement(cross_product(singleton(power_class(identity_relation)),universal_class)))),identity_relation)** -> .
% 299.72/300.40  244096[5:Res:5615.1,242218.0] || subclass(domain_relation,cantor(complement(cross_product(singleton(ordered_pair(identity_relation,identity_relation)),universal_class))))* -> .
% 299.72/300.40  244117[20:Res:212523.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(regular(symmetrization_of(identity_relation))),universal_class))))* -> .
% 299.72/300.40  244130[5:Res:212539.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(least(element_relation,omega)),universal_class))))* -> .
% 299.72/300.40  244131[5:Res:212361.1,242218.0] || subclass(omega,cantor(complement(cross_product(singleton(least(element_relation,omega)),universal_class))))* -> .
% 299.72/300.40  244178[7:SpR:189445.0,237599.0] ||  -> equal(intersection(singleton(identity_relation),restrict(complement(singleton(identity_relation)),u,v)),identity_relation)**.
% 299.72/300.40  244179[5:SpR:124149.0,237599.0] ||  -> equal(intersection(symmetrization_of(identity_relation),restrict(complement(inverse(identity_relation)),u,v)),identity_relation)**.
% 299.72/300.40  244304[7:SpR:189445.0,239026.0] ||  -> equal(intersection(restrict(complement(singleton(identity_relation)),u,v),singleton(identity_relation)),identity_relation)**.
% 299.72/300.40  244305[5:SpR:124149.0,239026.0] ||  -> equal(intersection(restrict(complement(inverse(identity_relation)),u,v),symmetrization_of(identity_relation)),identity_relation)**.
% 299.72/300.40  244796[16:MRR:244795.1,202435.0] || member(not_subclass_element(successor(range_of(identity_relation)),identity_relation),symmetric_difference(universal_class,range_of(identity_relation)))* -> .
% 299.72/300.40  246799[5:Res:202851.1,236998.0] || equal(complement(complement(complement(singleton(singleton(singleton(singleton(u))))))),identity_relation)** -> .
% 299.72/300.40  248260[7:Res:248247.0,3924.0] || subclass(union(u,singleton(identity_relation)),v)* well_ordering(universal_class,v) -> .
% 299.72/300.40  248281[7:SpL:580.0,248266.0] || subclass(complement(intersection(union(u,v),complement(singleton(identity_relation)))),identity_relation)* -> .
% 299.72/300.40  249097[20:MRR:249096.1,214400.0] || member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),intersection(u,complement(inverse(identity_relation))))* -> .
% 299.72/300.40  249540[14:Rew:249197.0,178195.1] || subclass(omega,power_class(u)) member(identity_relation,complement(power_class(u)))* -> .
% 299.72/300.40  249541[5:Rew:249197.0,5492.1] || subclass(universal_class,power_class(u)) member(identity_relation,complement(power_class(u)))* -> .
% 299.72/300.40  249594[0:Rew:249197.0,125734.0] ||  -> subclass(symmetric_difference(universal_class,image(element_relation,power_class(u))),power_class(complement(power_class(u))))*.
% 299.72/300.40  249827[5:Rew:249197.0,227663.0] ||  -> equal(intersection(power_class(complement(power_class(u))),image(element_relation,power_class(u))),identity_relation)**.
% 299.72/300.40  249828[5:Rew:249197.0,227788.0] ||  -> equal(union(power_class(complement(power_class(u))),image(element_relation,power_class(u))),universal_class)**.
% 299.72/300.40  249829[5:Rew:249197.0,227853.0] ||  -> equal(symmetric_difference(power_class(complement(power_class(u))),image(element_relation,power_class(u))),universal_class)**.
% 299.72/300.40  249830[5:Rew:249197.0,228202.0] ||  -> equal(union(image(element_relation,power_class(u)),power_class(complement(power_class(u)))),universal_class)**.
% 299.72/300.40  249831[5:Rew:249197.0,228409.0] ||  -> equal(intersection(image(element_relation,power_class(u)),power_class(complement(power_class(u)))),identity_relation)**.
% 299.72/300.40  249832[5:Rew:249197.0,228576.0] ||  -> equal(symmetric_difference(image(element_relation,power_class(u)),power_class(complement(power_class(u)))),universal_class)**.
% 299.72/300.40  249892[0:Rew:249197.0,869.1] || subclass(universal_class,power_class(u)) member(omega,complement(power_class(u)))* -> .
% 299.72/300.40  249931[5:Rew:249197.0,232207.0] || subclass(complement(power_class(u)),power_class(u))* -> subclass(universal_class,power_class(u)).
% 299.72/300.40  250205[5:Rew:249197.0,244190.0] ||  -> equal(intersection(power_class(u),restrict(complement(power_class(u)),v,w)),identity_relation)**.
% 299.72/300.40  250206[5:Rew:249197.0,244316.0] ||  -> equal(intersection(restrict(complement(power_class(u)),v,w),power_class(u)),identity_relation)**.
% 299.72/300.40  250209[15:Rew:249197.0,199287.1] || well_ordering(universal_class,power_class(u)) -> member(singleton(identity_relation),complement(power_class(u)))*.
% 299.72/300.40  251232[0:SpR:249204.0,8614.0] ||  -> subclass(symmetric_difference(power_class(u),complement(v)),union(complement(power_class(u)),v))*.
% 299.72/300.40  251285[0:SpR:249204.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),power_class(v)),union(u,complement(power_class(v))))*.
% 299.72/300.40  251385[7:SpL:249204.0,189304.1] inductive(complement(power_class(u))) || equal(power_class(u),singleton(identity_relation))** -> .
% 299.72/300.40  251739[11:SpL:203228.1,251492.0] || equal(identity_relation,u) equal(successor(complement(power_class(u))),identity_relation)** -> .
% 299.72/300.40  251746[11:SpL:203228.1,251494.0] || equal(identity_relation,u) equal(symmetrization_of(complement(power_class(u))),identity_relation)** -> .
% 299.72/300.40  252307[5:Rew:251768.0,251761.1] || equal(identity_relation,u) -> equal(complement(power_class(identity_relation)),complement(power_class(u)))*.
% 299.72/300.40  251765[5:SpR:118447.0,249197.0] ||  -> equal(image(element_relation,union(u,identity_relation)),complement(power_class(symmetric_difference(universal_class,u))))**.
% 299.72/300.40  251849[10:Rew:251767.0,176882.0] || subclass(complement(power_class(universal_class)),cantor(u))* -> member(identity_relation,domain_of(u)).
% 299.72/300.40  252032[11:Rew:251768.0,176544.0] || subclass(complement(power_class(identity_relation)),cantor(u))* -> member(identity_relation,domain_of(u)).
% 299.72/300.40  252130[5:Rew:251768.0,202892.1] || equal(identity_relation,u) -> subclass(complement(power_class(u)),complement(power_class(identity_relation)))*.
% 299.72/300.40  252134[11:Rew:251768.0,205064.1] || equal(identity_relation,u) subclass(complement(power_class(identity_relation)),power_class(u))* -> .
% 299.72/300.40  252146[11:Rew:251768.0,230546.1] || equal(identity_relation,u) -> subclass(regular(complement(power_class(identity_relation))),power_class(u))*.
% 299.72/300.40  252186[5:Rew:251768.0,231368.1] || equal(identity_relation,u) equal(complement(power_class(identity_relation)),power_class(u))* -> .
% 299.72/300.40  253061[5:SpR:22454.0,249208.0] ||  -> equal(union(complement(power_class(u)),identity_relation),complement(intersection(power_class(u),universal_class)))**.
% 299.72/300.40  253326[11:SpL:203228.1,251969.0] || equal(identity_relation,u) subclass(complement(power_class(u)),power_class(u))* -> .
% 299.72/300.40  253339[11:SpR:203228.1,251972.0] || equal(identity_relation,u) -> subclass(regular(complement(power_class(u))),power_class(u))*.
% 299.72/300.40  253387[11:SpL:203228.1,253353.0] || equal(identity_relation,u) equal(regular(complement(power_class(u))),universal_class)** -> .
% 299.72/300.40  253532[5:SpR:253274.0,55.1] || member(complement(power_class(universal_class)),universal_class) -> member(apply(element_relation,universal_class),universal_class)*.
% 299.72/300.40  254037[7:SpR:251758.0,119596.0] ||  -> subclass(symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.40  254294[5:SpR:251759.0,119596.0] ||  -> subclass(symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.40  254831[7:Res:254817.0,3924.0] || subclass(union(singleton(identity_relation),u),v)* well_ordering(universal_class,v) -> .
% 299.72/300.40  255124[7:SpL:581.0,254837.0] || subclass(complement(intersection(complement(singleton(identity_relation)),union(u,v))),identity_relation)* -> .
% 299.72/300.40  255489[7:SpL:145868.1,254673.0] || subclass(u,complement(singleton(identity_relation)))* subclass(singleton(identity_relation),u) -> .
% 299.72/300.40  255553[7:SpL:145868.1,254807.0] || subclass(u,complement(singleton(identity_relation)))* equal(complement(u),identity_relation) -> .
% 299.72/300.40  255590[7:SpL:145868.1,254810.0] || subclass(u,complement(singleton(identity_relation)))* equal(u,singleton(identity_relation)) -> .
% 299.72/300.40  255634[7:Res:45819.1,254848.0] || subclass(successor(singleton(identity_relation)),cantor(u))* -> member(identity_relation,domain_of(u)).
% 299.72/300.40  255783[7:Res:45819.1,254863.0] || subclass(symmetrization_of(singleton(identity_relation)),cantor(u))* -> member(identity_relation,domain_of(u)).
% 299.72/300.40  255970[20:MRR:255969.1,214400.0] || member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),intersection(complement(inverse(identity_relation)),u))* -> .
% 299.72/300.40  256025[20:SpL:145868.1,255961.0] || subclass(u,complement(inverse(identity_relation)))* subclass(symmetrization_of(identity_relation),u) -> .
% 299.72/300.40  256069[20:SpL:145868.1,256040.0] || subclass(u,complement(inverse(identity_relation)))* equal(u,symmetrization_of(identity_relation)) -> .
% 299.72/300.40  256197[5:MRR:256196.1,203320.0] || subclass(domain_of(u),regular(cantor(u)))* -> equal(cantor(u),identity_relation).
% 299.72/300.40  256199[5:MRR:256198.1,203313.0] || subclass(cantor(u),regular(domain_of(u)))* -> equal(domain_of(u),identity_relation).
% 299.72/300.40  256319[5:Rew:118446.0,256318.1,22454.0,256318.1,118455.0,256318.1] || subclass(singleton(u),u)* -> equal(union(u,identity_relation),successor(u)).
% 299.72/300.40  256367[5:Res:608.1,256316.0] || member(domain_of(u),cantor(u))* -> equal(singleton(domain_of(u)),identity_relation).
% 299.72/300.40  256372[5:Res:220369.1,256316.0] || member(symmetrization_of(identity_relation),inverse(identity_relation))* -> equal(singleton(symmetrization_of(identity_relation)),identity_relation).
% 299.72/300.40  256441[5:MRR:256378.2,202145.0] || member(u,universal_class) subclass(rest_relation,ordered_pair(u,rest_of(u)))* -> .
% 299.72/300.40  256753[11:SpL:203228.1,256428.0] || equal(identity_relation,u) subclass(universal_class,regular(complement(power_class(u))))* -> .
% 299.72/300.40  257298[5:Res:86994.1,256417.0] || equal(cantor(inverse(u)),omega) -> equal(integer_of(range_of(u)),identity_relation)**.
% 299.72/300.40  257388[5:SpR:257293.1,865.0] || equal(apply(choice,omega),omega)** -> equal(apply(choice,omega),identity_relation).
% 299.72/300.40  257860[5:Res:53064.1,257663.1] || well_ordering(u,rest_relation) equal(power_class(least(u,rest_relation)),universal_class)** -> .
% 299.72/300.40  257861[5:Res:53058.1,257663.1] || well_ordering(u,universal_class) equal(power_class(least(u,rest_relation)),universal_class)** -> .
% 299.72/300.40  257862[5:Res:8771.1,257663.1] || well_ordering(u,universal_class) equal(power_class(least(u,universal_class)),universal_class)** -> .
% 299.72/300.40  258425[5:Res:53064.1,257674.1] || well_ordering(u,rest_relation) equal(sum_class(least(u,rest_relation)),universal_class)** -> .
% 299.72/300.40  258426[5:Res:53058.1,257674.1] || well_ordering(u,universal_class) equal(sum_class(least(u,rest_relation)),universal_class)** -> .
% 299.72/300.40  258427[5:Res:8771.1,257674.1] || well_ordering(u,universal_class) equal(sum_class(least(u,universal_class)),universal_class)** -> .
% 299.72/300.40  259103[5:Res:256424.0,1054.0] ||  -> equal(singleton(complement(singleton(u))),identity_relation)** equal(complement(singleton(u)),u).
% 299.72/300.40  259130[5:Res:256424.0,158.0] ||  -> equal(singleton(complement(omega)),identity_relation) equal(integer_of(complement(omega)),complement(omega))**.
% 299.72/300.40  259158[5:Rew:124149.0,259068.1] ||  -> member(symmetrization_of(identity_relation),complement(inverse(identity_relation)))* equal(singleton(symmetrization_of(identity_relation)),identity_relation).
% 299.72/300.40  259159[5:Rew:249204.0,259069.1] ||  -> member(power_class(u),complement(power_class(u)))* equal(singleton(power_class(u)),identity_relation).
% 299.72/300.40  259208[17:SpL:209320.1,256435.0] function(u) || subclass(ordered_pair(v,u),unordered_pair(v,identity_relation))* -> .
% 299.72/300.40  259572[17:SpL:209320.1,259229.0] function(u) || equal(unordered_pair(v,identity_relation),ordered_pair(v,u))* -> .
% 299.72/300.40  259905[0:Obv:259891.1] || subclass(u,symmetric_difference(v,w))* -> subclass(u,union(v,w)).
% 299.72/300.40  260379[0:Obv:260355.1] || subclass(u,cantor(v)) -> subclass(intersection(w,u),domain_of(v))*.
% 299.72/300.40  260487[0:SpR:160.0,260367.1] || subclass(union(u,v),w) -> subclass(symmetric_difference(u,v),w)*.
% 299.72/300.40  260488[0:SpR:932.0,260367.1] || subclass(successor(u),v) -> subclass(symmetric_difference(u,singleton(u)),v)*.
% 299.72/300.40  260489[0:SpR:931.0,260367.1] || subclass(symmetrization_of(u),v) -> subclass(symmetric_difference(u,inverse(u)),v)*.
% 299.72/300.40  260648[5:Res:260484.1,79033.0] || subclass(universal_class,cantor(inverse(u))) -> subclass(cantor(v),range_of(u))*.
% 299.72/300.40  260659[5:Res:260484.1,256433.0] || subclass(universal_class,not_subclass_element(cantor(u),v))* -> subclass(cantor(u),v).
% 299.72/300.40  260753[5:Rew:118447.0,260730.0] || subclass(universal_class,union(u,identity_relation))* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.40  261276[5:Res:261060.0,5229.1] inductive(intersection(u,restrict(v,w,x))) ||  -> member(identity_relation,v)*.
% 299.72/300.40  261279[0:Res:261060.0,79033.0] ||  -> subclass(intersection(u,restrict(cantor(inverse(v)),w,x)),range_of(v))*.
% 299.72/300.40  261651[0:SpR:941.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(complement(v),complement(w))),union(v,w))*.
% 299.72/300.40  261681[0:SpR:21037.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(complement(v),complement(singleton(v)))),successor(v))*.
% 299.72/300.40  261682[0:SpR:21036.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(complement(v),complement(inverse(v)))),symmetrization_of(v))*.
% 299.72/300.40  262020[0:Obv:261999.1] || subclass(u,cantor(v)) -> subclass(intersection(u,w),domain_of(v))*.
% 299.72/300.40  263399[0:SpR:941.0,263102.0] ||  -> subclass(intersection(symmetric_difference(complement(u),complement(v)),w),union(u,v))*.
% 299.72/300.40  263429[0:SpR:21037.0,263102.0] ||  -> subclass(intersection(symmetric_difference(complement(u),complement(singleton(u))),v),successor(u))*.
% 299.72/300.40  263430[0:SpR:21036.0,263102.0] ||  -> subclass(intersection(symmetric_difference(complement(u),complement(inverse(u))),v),symmetrization_of(u))*.
% 299.72/300.40  263817[5:SpR:27.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,union(u,v)),intersection(complement(u),complement(v)))*.
% 299.72/300.40  263829[5:SpR:249206.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,power_class(complement(power_class(u)))),image(element_relation,power_class(u)))*.
% 299.72/300.40  264052[0:SpR:941.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(complement(u),complement(v)))),union(u,v))*.
% 299.72/300.40  264082[0:SpR:21037.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(complement(u),complement(singleton(u))))),successor(u))*.
% 299.72/300.40  264083[0:SpR:21036.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(complement(u),complement(inverse(u))))),symmetrization_of(u))*.
% 299.72/300.40  264359[0:SpR:27.0,264292.0] ||  -> subclass(complement(successor(intersection(complement(u),complement(v)))),union(u,v))*.
% 299.72/300.40  264368[7:SpR:189471.0,264292.0] ||  -> subclass(complement(successor(image(element_relation,singleton(identity_relation)))),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.40  264370[5:SpR:122494.0,264292.0] ||  -> subclass(complement(successor(image(element_relation,symmetrization_of(identity_relation)))),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.40  264371[0:SpR:249206.0,264292.0] ||  -> subclass(complement(successor(image(element_relation,power_class(u)))),power_class(complement(power_class(u))))*.
% 299.72/300.40  264373[7:SpR:251758.0,264292.0] ||  -> subclass(complement(successor(power_class(complement(singleton(identity_relation))))),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.40  264374[5:SpR:251759.0,264292.0] ||  -> subclass(complement(successor(power_class(complement(inverse(identity_relation))))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.40  264413[0:SpR:27.0,264294.0] ||  -> subclass(complement(symmetrization_of(intersection(complement(u),complement(v)))),union(u,v))*.
% 299.72/300.40  264422[7:SpR:189471.0,264294.0] ||  -> subclass(complement(symmetrization_of(image(element_relation,singleton(identity_relation)))),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.40  264424[5:SpR:122494.0,264294.0] ||  -> subclass(complement(symmetrization_of(image(element_relation,symmetrization_of(identity_relation)))),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.40  264425[0:SpR:249206.0,264294.0] ||  -> subclass(complement(symmetrization_of(image(element_relation,power_class(u)))),power_class(complement(power_class(u))))*.
% 299.72/300.40  264427[7:SpR:251758.0,264294.0] ||  -> subclass(complement(symmetrization_of(power_class(complement(singleton(identity_relation))))),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.40  264428[5:SpR:251759.0,264294.0] ||  -> subclass(complement(symmetrization_of(power_class(complement(inverse(identity_relation))))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.40  264643[5:SpR:202351.1,264357.0] || equal(successor(complement(power_class(u))),identity_relation)** -> subclass(universal_class,power_class(u)).
% 299.72/300.40  264650[5:Res:264357.0,5229.1] inductive(complement(successor(complement(power_class(u))))) ||  -> member(identity_relation,power_class(u))*.
% 299.72/300.40  264675[5:SpR:202351.1,264411.0] || equal(symmetrization_of(complement(power_class(u))),identity_relation)** -> subclass(universal_class,power_class(u)).
% 299.72/300.40  264682[5:Res:264411.0,5229.1] inductive(complement(symmetrization_of(complement(power_class(u))))) ||  -> member(identity_relation,power_class(u))*.
% 299.72/300.40  264718[5:SpR:126709.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(range_of(v),universal_class)),complement(cantor(inverse(v))))*.
% 299.72/300.40  264756[5:Res:261641.0,5229.1] inductive(intersection(u,symmetric_difference(universal_class,v))) ||  -> member(identity_relation,complement(v))*.
% 299.72/300.40  264850[5:SpR:126709.0,263389.0] ||  -> subclass(intersection(symmetric_difference(range_of(u),universal_class),v),complement(cantor(inverse(u))))*.
% 299.72/300.40  264890[5:Res:263389.0,5229.1] inductive(intersection(symmetric_difference(universal_class,u),v)) ||  -> member(identity_relation,complement(u))*.
% 299.72/300.40  264933[5:Res:263560.1,79033.0] || equal(complement(cantor(inverse(u))),identity_relation)** -> subclass(v,range_of(u))*.
% 299.72/300.40  265085[17:Res:263560.1,213922.0] || equal(complement(rotate(u)),identity_relation)** equal(complement(u),universal_class) -> .
% 299.72/300.40  265093[17:Res:263560.1,257677.0] || equal(complement(rotate(ordered_pair(singleton(singleton(singleton(identity_relation))),u))),identity_relation)** -> .
% 299.72/300.40  265094[17:Res:263560.1,259822.0] || equal(complement(rotate(singleton(singleton(singleton(singleton(singleton(identity_relation))))))),identity_relation)** -> .
% 299.72/300.40  265095[17:Res:263560.1,214015.0] || equal(complement(flip(u)),identity_relation)** equal(complement(u),universal_class) -> .
% 299.72/300.40  265102[17:Res:263560.1,257697.0] || equal(complement(flip(ordered_pair(singleton(singleton(singleton(u))),identity_relation))),identity_relation)** -> .
% 299.72/300.40  265190[5:Res:263560.1,28220.0] || equal(complement(complement(complement(rest_relation))),identity_relation)** -> equal(rest_of(identity_relation),identity_relation).
% 299.72/300.40  265198[5:Res:263560.1,113727.0] || equal(complement(complement(singleton(regular(u)))),identity_relation)** -> equal(u,identity_relation).
% 299.72/300.40  265233[5:Res:263560.1,122507.0] || equal(complement(complement(complement(symmetrization_of(u)))),identity_relation)** -> connected(u,v)*.
% 299.72/300.40  265325[5:Res:263560.1,120.0] || equal(complement(restrict(u,v,v)),identity_relation)** -> transitive(u,v).
% 299.72/300.40  265664[20:Res:265633.0,2.0] || subclass(universal_class,u) -> member(regular(complement(complement(symmetrization_of(identity_relation)))),u)*.
% 299.72/300.40  265823[5:SpR:118447.0,262147.0] ||  -> subclass(restrict(complement(union(u,identity_relation)),v,w),symmetric_difference(universal_class,u))*.
% 299.72/300.40  265849[5:Res:262147.0,5229.1] inductive(restrict(complement(complement(u)),v,w)) ||  -> member(identity_relation,u)*.
% 299.72/300.40  265852[0:Res:262147.0,79033.0] ||  -> subclass(restrict(complement(complement(cantor(inverse(u)))),v,w),range_of(u))*.
% 299.72/300.40  265984[5:SpR:202351.1,262737.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> subclass(universal_class,u).
% 299.72/300.40  265991[5:Res:262737.0,5229.1] inductive(complement(complement(restrict(u,v,w)))) ||  -> member(identity_relation,u)*.
% 299.72/300.40  265994[0:Res:262737.0,79033.0] ||  -> subclass(complement(complement(restrict(cantor(inverse(u)),v,w))),range_of(u))*.
% 299.72/300.40  266071[0:SpR:29.0,261130.0] ||  -> subclass(restrict(restrict(u,v,w),x,y),cross_product(v,w))*.
% 299.72/300.40  266149[5:Res:261130.0,5229.1] inductive(restrict(intersection(u,v),w,x)) ||  -> member(identity_relation,v)*.
% 299.72/300.40  266152[0:Res:261130.0,79033.0] ||  -> subclass(restrict(intersection(u,cantor(inverse(v))),w,x),range_of(v))*.
% 299.72/300.40  266331[5:SpR:22914.0,261700.0] ||  -> subclass(restrict(symmetric_difference(complement(u),universal_class),v,w),union(u,identity_relation))*.
% 299.72/300.40  266333[0:SpR:160.0,261700.0] ||  -> subclass(restrict(symmetric_difference(u,v),w,x),complement(intersection(u,v)))*.
% 299.72/300.40  266394[5:Res:261700.0,5229.1] inductive(restrict(intersection(u,v),w,x)) ||  -> member(identity_relation,u)*.
% 299.72/300.40  266397[0:Res:261700.0,79033.0] ||  -> subclass(restrict(intersection(cantor(inverse(u)),v),w,x),range_of(u))*.
% 299.72/300.40  266524[5:Res:262535.0,5229.1] inductive(intersection(restrict(u,v,w),x)) ||  -> member(identity_relation,u)*.
% 299.72/300.40  266527[0:Res:262535.0,79033.0] ||  -> subclass(intersection(restrict(cantor(inverse(u)),v,w),x),range_of(u))*.
% 299.72/300.40  267118[5:MRR:267108.1,267108.3,5265.0,203273.0] || equal(complement(u),universal_class) subclass(universal_class,regular(complement(u)))* -> .
% 299.72/300.40  267119[5:MRR:267109.1,267109.3,5265.0,203287.0] || equal(inverse(u),universal_class) subclass(universal_class,regular(inverse(u)))* -> .
% 299.72/300.40  267120[5:MRR:267110.1,267110.3,5265.0,203292.0] || equal(power_class(u),universal_class) subclass(universal_class,regular(power_class(u)))* -> .
% 299.72/300.40  267121[5:MRR:267111.1,267111.3,5265.0,203293.0] || equal(sum_class(u),universal_class) subclass(universal_class,regular(sum_class(u)))* -> .
% 299.72/300.40  267122[5:MRR:267112.1,267112.3,5265.0,203294.0] || equal(range_of(u),universal_class) subclass(universal_class,regular(range_of(u)))* -> .
% 299.72/300.40  267259[5:SpR:145868.1,263697.0] || subclass(u,complement(symmetrization_of(identity_relation)))* -> subclass(u,complement(inverse(identity_relation))).
% 299.72/300.40  267445[20:SpL:145868.1,265414.0] || subclass(u,complement(inverse(identity_relation)))* equal(complement(u),identity_relation) -> .
% 299.72/300.40  267545[5:Res:3364.1,263650.0] || member(symmetrization_of(identity_relation),universal_class) -> subclass(sum_class(symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.40  267572[5:Res:260367.1,263650.0] || subclass(u,symmetrization_of(identity_relation)) -> subclass(intersection(v,u),inverse(identity_relation))*.
% 299.72/300.40  267861[5:SpR:145868.1,267561.0] || subclass(u,symmetrization_of(identity_relation)) -> subclass(complement(complement(u)),inverse(identity_relation))*.
% 299.72/300.40  268048[5:SpR:145868.1,267567.0] || subclass(u,complement(complement(symmetrization_of(identity_relation))))* -> subclass(u,inverse(identity_relation)).
% 299.72/300.40  268071[5:Con:268068.0] || member(u,complement(complement(symmetrization_of(identity_relation))))* -> member(u,inverse(identity_relation)).
% 299.72/300.40  268239[9:SpL:145868.1,267972.0] || subclass(u,symmetrization_of(identity_relation))* equal(complement(complement(u)),universal_class) -> .
% 299.72/300.40  268280[17:SpR:209751.1,263822.0] function(u) ||  -> subclass(symmetric_difference(universal_class,successor(u)),symmetric_difference(universal_class,u))*.
% 299.72/300.40  268404[17:SpR:209751.1,264364.0] function(u) ||  -> subclass(complement(successor(symmetric_difference(universal_class,u))),successor(u))*.
% 299.72/300.40  268796[5:SpL:203228.1,268514.0] || equal(identity_relation,u) equal(successor(singleton(power_class(u))),identity_relation)** -> .
% 299.72/300.40  268924[5:Obv:268907.0] ||  -> equal(intersection(intersection(u,v),regular(v)),identity_relation)** equal(v,identity_relation).
% 299.72/300.40  268925[5:Obv:268908.0] ||  -> equal(intersection(intersection(u,v),regular(u)),identity_relation)** equal(u,identity_relation).
% 299.72/300.40  269099[5:Obv:269084.0] ||  -> equal(intersection(regular(u),intersection(v,u)),identity_relation)** equal(u,identity_relation).
% 299.72/300.40  269100[5:Obv:269085.0] ||  -> equal(intersection(regular(u),intersection(u,v)),identity_relation)** equal(u,identity_relation).
% 299.72/300.40  269293[17:SpR:209751.1,264418.0] function(u) ||  -> subclass(complement(symmetrization_of(symmetric_difference(universal_class,u))),successor(u))*.
% 299.72/300.40  269721[5:SpL:203228.1,269406.0] || equal(identity_relation,u) equal(symmetrization_of(singleton(power_class(u))),identity_relation)** -> .
% 299.72/300.40  784[0:Res:651.0,2.0] || subclass(singleton(singleton(singleton(u))),v)* -> member(singleton(singleton(u)),v).
% 299.72/300.40  815[0:Res:763.1,2.0] || subclass(universal_class,u)* subclass(u,v)* -> member(singleton(w),v)*.
% 299.72/300.40  3357[0:Res:779.1,37.0] || subclass(universal_class,flip(u)) -> member(ordered_pair(ordered_pair(v,w),x),u)*.
% 299.72/300.40  3359[0:Res:779.1,34.0] || subclass(universal_class,rotate(u)) -> member(ordered_pair(ordered_pair(v,w),x),u)*.
% 299.72/300.40  4757[0:SpL:647.0,4722.0] || equal(u,singleton(singleton(singleton(v)))) -> member(singleton(singleton(v)),u)*.
% 299.72/300.40  29481[5:MRR:25600.0,29469.1] || member(u,complement(intersection(v,universal_class)))* -> member(u,symmetric_difference(v,universal_class)).
% 299.72/300.40  4158[0:SpL:160.0,818.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(singleton(w),union(u,v))*.
% 299.72/300.40  4216[0:SpL:160.0,4166.0] || equal(symmetric_difference(u,v),universal_class) -> member(singleton(w),union(u,v))*.
% 299.72/300.40  8889[0:SpL:932.0,818.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(singleton(v),successor(u))*.
% 299.72/300.40  8895[0:SpL:932.0,4166.0] || equal(symmetric_difference(u,singleton(u)),universal_class)** -> member(singleton(v),successor(u))*.
% 299.72/300.40  116711[0:MRR:116675.0,176.0] || subclass(universal_class,complement(union(u,v)))* -> member(singleton(w),complement(u))*.
% 299.72/300.40  117098[0:MRR:117054.0,176.0] || subclass(universal_class,complement(union(u,v)))* -> member(singleton(w),complement(v))*.
% 299.72/300.40  117275[5:MRR:117202.3,5188.0] || member(u,v)* member(u,singleton(w))* -> member(w,v)*.
% 299.72/300.40  118458[5:Rew:118446.0,117385.1] ||  -> member(u,v) equal(symmetric_difference(v,singleton(u)),union(v,singleton(u)))**.
% 299.72/300.40  118459[5:Rew:118446.0,117273.1] ||  -> member(u,v) equal(symmetric_difference(singleton(u),v),union(singleton(u),v))**.
% 299.72/300.40  3785[0:Res:3780.1,158.0] || equal(complement(complement(omega)),universal_class) -> equal(integer_of(singleton(u)),singleton(u))**.
% 299.72/300.40  4750[0:Res:4733.1,729.1] inductive(singleton(u)) || member(u,omega)* -> equal(singleton(u),omega).
% 299.72/300.40  942[0:SpL:160.0,791.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(omega,complement(intersection(u,v)))*.
% 299.72/300.40  967[0:SpL:160.0,928.0] || equal(symmetric_difference(u,v),universal_class) -> member(omega,complement(intersection(u,v)))*.
% 299.72/300.40  122481[5:Rew:122359.0,24445.1] inductive(intersection(universal_class,complement(u))) || equal(complement(complement(u)),universal_class)** -> .
% 299.72/300.40  3791[0:Res:3780.1,22.0] || equal(complement(complement(intersection(u,v))),universal_class)** -> member(singleton(w),u)*.
% 299.72/300.40  3792[0:Res:3780.1,23.0] || equal(complement(complement(intersection(u,v))),universal_class)** -> member(singleton(w),v)*.
% 299.72/300.40  3790[0:Res:3780.1,25.1] || equal(complement(complement(complement(u))),universal_class)** member(singleton(v),u)* -> .
% 299.72/300.40  122623[5:Rew:119684.0,25604.0] ||  -> equal(symmetric_difference(complement(intersection(u,universal_class)),universal_class),symmetric_difference(universal_class,symmetric_difference(u,universal_class)))**.
% 299.72/300.40  122699[5:Rew:122359.0,122698.1] || subclass(universal_class,complement(u)) member(singleton(v),complement(complement(u)))* -> .
% 299.72/300.40  124022[0:Res:761.1,8165.1] || subclass(universal_class,intersection(u,v)) member(omega,symmetric_difference(u,v))* -> .
% 299.72/300.40  124990[0:Res:119650.1,2.0] || equal(u,universal_class) subclass(u,v)* -> member(singleton(w),v)*.
% 299.72/300.40  124832[5:SpL:119684.0,1003.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(unordered_pair(v,w),complement(u))*.
% 299.72/300.40  47818[0:Res:7.1,1006.0] || equal(restrict(u,v,w),universal_class)** -> member(unordered_pair(x,y),u)*.
% 299.72/300.40  115308[0:MRR:115305.1,12.0] || equal(u,ordered_pair(v,w)) -> member(unordered_pair(v,singleton(w)),u)*.
% 299.72/300.40  123612[0:Res:52.1,8428.0] inductive(singleton(u)) ||  -> subclass(omega,v) equal(not_subclass_element(omega,v),u)*.
% 299.72/300.40  30653[0:Res:29531.1,2.0] || subclass(universal_class,u) -> subclass(v,w) member(not_subclass_element(v,w),u)*.
% 299.72/300.40  118154[5:Rew:22519.0,118098.1] || member(not_subclass_element(universal_class,cantor(u)),domain_of(u))* -> subclass(universal_class,cantor(u)).
% 299.72/300.40  116661[0:SpR:114.0,27933.1] || member(u,universal_class) -> member(u,symmetrization_of(v))* member(u,complement(v)).
% 299.72/300.40  116662[0:SpR:44.0,27933.1] || member(u,universal_class) -> member(u,successor(v)) member(u,complement(v))*.
% 299.72/300.40  46044[0:Res:7.1,772.1] || equal(u,singleton(v)) member(v,universal_class)* -> member(v,u)*.
% 299.72/300.40  125612[0:Res:8249.0,729.1] inductive(restrict(omega,u,v)) ||  -> equal(restrict(omega,u,v),omega)**.
% 299.72/300.40  1029[0:Res:779.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(ordered_pair(x,y),u)*.
% 299.72/300.40  926[0:SpL:30.0,791.0] || subclass(universal_class,restrict(u,v,w))* -> member(omega,cross_product(v,w)).
% 299.72/300.40  971[0:SpL:30.0,928.0] || equal(restrict(u,v,w),universal_class)** -> member(omega,cross_product(v,w))*.
% 299.72/300.40  8262[0:Rew:29.0,8261.1] single_valued_class(intersection(u,cross_product(universal_class,universal_class))) ||  -> function(restrict(u,universal_class,universal_class))*.
% 299.72/300.40  8356[0:Rew:30.0,8355.1] single_valued_class(intersection(cross_product(universal_class,universal_class),u)) ||  -> function(restrict(u,universal_class,universal_class))*.
% 299.72/300.40  79059[0:Res:45819.1,782.0] || subclass(ordered_pair(u,v),cantor(w))* -> member(singleton(u),domain_of(w)).
% 299.72/300.40  50915[0:Res:3780.1,693.0] || equal(complement(complement(rest_of(u))),universal_class) -> member(singleton(v),domain_of(u))*.
% 299.72/300.40  32895[5:Res:3780.1,29473.0] || equal(complement(complement(domain_of(u))),universal_class) -> member(singleton(v),cantor(u))*.
% 299.72/300.40  3625[0:Res:608.1,816.1] || member(singleton(u),cantor(v))* subclass(universal_class,complement(domain_of(v))) -> .
% 299.72/300.40  85845[5:Rew:22667.0,85799.0] || member(u,intersection(inverse(v),universal_class))* -> subclass(singleton(u),inverse(v)).
% 299.72/300.40  77728[0:SpR:77667.1,39.0] || equal(rest_of(flip(cross_product(u,universal_class))),rest_relation)** -> equal(inverse(u),universal_class).
% 299.72/300.40  8826[0:SpL:931.0,818.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(singleton(v),symmetrization_of(u))*.
% 299.72/300.40  8831[0:SpL:931.0,4166.0] || equal(symmetric_difference(u,inverse(u)),universal_class)** -> member(singleton(v),symmetrization_of(u))*.
% 299.72/300.40  144736[0:Res:144714.1,8165.1] || equal(intersection(u,v),universal_class) member(omega,symmetric_difference(u,v))* -> .
% 299.72/300.40  146238[0:SpR:145868.1,30.0] || subclass(u,cross_product(v,w))* -> equal(restrict(u,v,w),u).
% 299.72/300.40  146645[0:SpR:160.0,146022.0] ||  -> equal(intersection(complement(intersection(u,v)),symmetric_difference(u,v)),symmetric_difference(u,v))**.
% 299.72/300.40  146677[0:Rew:30.0,146642.0] ||  -> equal(restrict(restrict(u,v,w),v,w),restrict(u,v,w))**.
% 299.72/300.40  146771[0:SpR:932.0,146209.0] ||  -> equal(intersection(successor(u),symmetric_difference(u,singleton(u))),symmetric_difference(u,singleton(u)))**.
% 299.72/300.40  148531[0:SpR:931.0,146209.0] ||  -> equal(intersection(symmetrization_of(u),symmetric_difference(u,inverse(u))),symmetric_difference(u,inverse(u)))**.
% 299.72/300.40  151280[5:SpL:122382.0,150227.0] || equal(symmetric_difference(u,universal_class),universal_class) member(omega,intersection(u,universal_class))* -> .
% 299.72/300.40  151444[5:SpR:150390.1,122382.0] || equal(complement(intersection(u,universal_class)),universal_class)** -> equal(symmetric_difference(u,universal_class),universal_class).
% 299.72/300.40  153443[0:Res:779.1,119626.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(ordered_pair(v,w),complement(u))*.
% 299.72/300.40  153501[0:Res:779.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(ordered_pair(v,w),u)* -> .
% 299.72/300.40  153509[0:Res:762.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(unordered_pair(v,w),u)* -> .
% 299.72/300.40  153652[5:Res:766.2,153534.1] || subclass(u,v)* equal(complement(v),universal_class) -> subclass(u,w)*.
% 299.72/300.40  153849[5:Res:153612.1,8.0] || equal(complement(u),universal_class) subclass(v,u)* -> equal(v,u).
% 299.72/300.40  155102[5:SpL:122382.0,153503.0] || subclass(universal_class,symmetric_difference(u,universal_class)) member(omega,intersection(u,universal_class))* -> .
% 299.72/300.40  160699[0:SpR:120682.0,47679.0] ||  -> subclass(complement(complement(cantor(cross_product(u,singleton(v))))),segment(universal_class,u,v))*.
% 299.72/300.40  160700[0:SpR:120682.0,45823.0] ||  -> subclass(intersection(cantor(cross_product(u,singleton(v))),w),segment(universal_class,u,v))*.
% 299.72/300.40  160719[0:SpR:120682.0,45825.0] ||  -> subclass(intersection(u,cantor(cross_product(v,singleton(w)))),segment(universal_class,v,w))*.
% 299.72/300.40  162465[0:Res:122671.0,1054.0] ||  -> subclass(u,complement(singleton(v))) equal(not_subclass_element(u,complement(singleton(v))),v)**.
% 299.72/300.40  34827[5:Rew:22667.0,34803.1,39.0,34803.0] ||  -> equal(inverse(u),identity_relation) member(regular(inverse(u)),intersection(inverse(u),universal_class))*.
% 299.72/300.40  47778[5:SpL:5338.1,47765.0] || subclass(regular(cross_product(u,v)),identity_relation)* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  47802[5:SpL:5338.1,47782.0] || equal(regular(cross_product(u,v)),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  117181[5:SpR:113956.0,29.0] ||  -> member(u,cross_product(v,w)) equal(restrict(singleton(u),v,w),identity_relation)**.
% 299.72/300.40  118166[5:Rew:22548.0,118105.1] || member(not_subclass_element(element_relation,identity_relation),complement(compose(element_relation,universal_class)))* -> subclass(element_relation,identity_relation).
% 299.72/300.40  120683[5:SpR:119609.0,5245.0] ||  -> equal(first(not_subclass_element(cross_product(u,singleton(v)),identity_relation)),domain__dfg(universal_class,u,v))**.
% 299.72/300.40  120688[5:SpR:119609.0,5246.0] ||  -> equal(second(not_subclass_element(cross_product(singleton(u),v),identity_relation)),range__dfg(universal_class,u,v))**.
% 299.72/300.40  120703[5:SpL:119609.0,5244.1] || member(u,domain_of(universal_class)) equal(cross_product(singleton(u),universal_class),identity_relation)** -> .
% 299.72/300.40  124869[5:Rew:119684.0,124812.0] ||  -> equal(symmetric_difference(universal_class,u),identity_relation) member(regular(symmetric_difference(universal_class,u)),complement(u))*.
% 299.72/300.40  165308[5:Res:5220.1,119659.0] || member(regular(symmetric_difference(universal_class,u)),u)* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.40  8745[5:Res:8610.0,5229.1] inductive(symmetric_difference(domain_of(u),successor(universal_class))) ||  -> member(identity_relation,complement(cantor(u)))*.
% 299.72/300.40  167774[5:Res:146067.0,5229.1] inductive(symmetric_difference(domain_of(u),cantor(u))) ||  -> member(identity_relation,complement(cantor(u)))*.
% 299.72/300.40  164650[5:Rew:118447.0,153290.1] || member(singleton(u),complement(v))* subclass(universal_class,union(v,identity_relation)) -> .
% 299.72/300.40  120274[5:SpR:118447.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),union(v,identity_relation)),union(u,symmetric_difference(universal_class,v)))*.
% 299.72/300.40  22689[5:Rew:22446.0,12213.0] || member(u,symmetric_difference(complement(v),universal_class))* -> member(u,union(v,identity_relation)).
% 299.72/300.40  29483[5:MRR:25801.0,29469.1] || member(u,union(v,identity_relation)) -> member(u,symmetric_difference(complement(v),universal_class))*.
% 299.72/300.40  120318[5:SpL:118447.0,25.1] || member(u,symmetric_difference(universal_class,v))* member(u,union(v,identity_relation)) -> .
% 299.72/300.40  5510[5:Rew:5180.0,4029.1] || subclass(universal_class,symmetric_difference(u,v)) -> member(identity_relation,complement(intersection(u,v)))*.
% 299.72/300.40  5509[5:Rew:5180.0,4067.1] || equal(symmetric_difference(u,v),universal_class) -> member(identity_relation,complement(intersection(u,v)))*.
% 299.72/300.40  25809[5:SpL:22914.0,5192.0] || subclass(universal_class,symmetric_difference(complement(u),universal_class))* -> member(identity_relation,union(u,identity_relation)).
% 299.72/300.40  9053[5:Res:9018.0,5229.1] inductive(symmetric_difference(complement(u),successor(universal_class))) ||  -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  118802[5:Rew:118447.0,26175.1] inductive(symmetric_difference(intersection(universal_class,u),identity_relation)) ||  -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  52318[5:Res:5201.1,22727.0] inductive(intersection(complement(u),universal_class)) || member(identity_relation,union(u,identity_relation))* -> .
% 299.72/300.40  25817[5:SpL:22914.0,5191.0] || equal(symmetric_difference(complement(u),universal_class),universal_class) -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  122615[5:Rew:119684.0,52317.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(identity_relation,union(u,identity_relation))* -> .
% 299.72/300.40  46816[5:Res:7.1,5325.0] || equal(singleton(u),v)* -> equal(v,identity_relation) equal(regular(v),u)*.
% 299.72/300.40  47898[5:Res:5196.1,8165.1] || subclass(universal_class,intersection(u,v)) member(identity_relation,symmetric_difference(u,v))* -> .
% 299.72/300.40  124116[5:Res:119647.1,8165.1] || equal(intersection(u,v),universal_class) member(identity_relation,symmetric_difference(u,v))* -> .
% 299.72/300.40  113737[5:Obv:113682.1] || subclass(intersection(u,v),complement(u))* -> equal(intersection(u,v),identity_relation).
% 299.72/300.40  113739[5:Obv:113714.1] || subclass(intersection(u,v),complement(v))* -> equal(intersection(u,v),identity_relation).
% 299.72/300.40  5511[5:Rew:5180.0,4072.1] || equal(restrict(u,v,w),universal_class)** -> member(identity_relation,cross_product(v,w))*.
% 299.72/300.40  5512[5:Rew:5180.0,4034.1] || subclass(universal_class,restrict(u,v,w))* -> member(identity_relation,cross_product(v,w)).
% 299.72/300.40  122486[5:Rew:122359.0,52145.1] inductive(intersection(universal_class,complement(u))) || member(identity_relation,complement(complement(u)))* -> .
% 299.72/300.40  122511[5:Rew:122359.0,9081.1] inductive(symmetric_difference(successor(universal_class),complement(u))) ||  -> member(identity_relation,complement(complement(u)))*.
% 299.72/300.40  50596[5:Obv:50578.1] || subclass(complement(domain_of(u)),cantor(u))* -> equal(complement(domain_of(u)),identity_relation).
% 299.72/300.40  33197[5:MRR:33196.0,5265.0] || equal(compose(u,identity_relation),identity_relation) subclass(domain_relation,complement(compose_class(u)))* -> .
% 299.72/300.40  28218[5:Res:27132.1,94.0] || subclass(domain_relation,complement(complement(compose_class(u))))* -> equal(compose(u,identity_relation),identity_relation).
% 299.72/300.40  9149[5:Res:9004.0,5229.1] inductive(symmetric_difference(complement(u),complement(inverse(u)))) ||  -> member(identity_relation,symmetrization_of(u))*.
% 299.72/300.40  9164[5:Res:9005.0,5229.1] inductive(symmetric_difference(complement(u),complement(singleton(u)))) ||  -> member(identity_relation,successor(u))*.
% 299.72/300.40  9027[5:Res:8614.0,5229.1] inductive(symmetric_difference(complement(u),complement(v))) ||  -> member(identity_relation,union(u,v))*.
% 299.72/300.40  167392[7:SpR:27.0,167376.1] ||  -> member(identity_relation,intersection(complement(u),complement(v)))* member(identity_relation,union(u,v)).
% 299.72/300.40  106242[5:Obv:106192.0] ||  -> equal(sum_class(singleton(u)),identity_relation) equal(intersection(sum_class(singleton(u)),u),identity_relation)**.
% 299.72/300.40  122844[5:Rew:122359.0,122843.0] || member(regular(complement(u)),complement(complement(u)))* -> equal(complement(u),identity_relation).
% 299.72/300.40  34826[5:Rew:22654.0,34801.1,54.0,34801.0] ||  -> equal(sum_class(u),identity_relation) member(regular(sum_class(u)),intersection(sum_class(u),universal_class))*.
% 299.72/300.40  113976[5:Obv:113918.0] ||  -> equal(intersection(singleton(u),v),identity_relation) member(u,intersection(singleton(u),v))*.
% 299.72/300.40  114199[5:Obv:114140.0] ||  -> equal(intersection(u,singleton(v)),identity_relation) member(v,intersection(u,singleton(v)))*.
% 299.72/300.40  114782[5:Res:5201.1,776.0] inductive(cantor(u)) || subclass(domain_of(u),v)* -> member(identity_relation,v).
% 299.72/300.40  52009[5:Obv:52003.1] || subclass(regular(u),u)* -> equal(regular(u),identity_relation) equal(u,identity_relation).
% 299.72/300.40  113729[5:Obv:113713.2] || subclass(u,v) subclass(u,complement(v))* -> equal(u,identity_relation).
% 299.72/300.40  168251[5:Res:5214.2,153534.1] || subclass(u,v)* equal(complement(v),universal_class) -> equal(u,identity_relation).
% 299.72/300.40  168344[5:Res:144714.1,5405.0] || equal(regular(u),universal_class) member(omega,u)* -> equal(u,identity_relation).
% 299.72/300.40  5388[5:Rew:5180.0,2965.1] || subclass(singleton(u),v)* -> equal(singleton(u),identity_relation) member(u,v).
% 299.72/300.40  5528[5:Rew:5180.0,4740.1] inductive(singleton(u)) ||  -> equal(integer_of(u),identity_relation)** equal(singleton(u),omega).
% 299.72/300.40  164641[5:Rew:118447.0,150179.1] || subclass(universal_class,symmetric_difference(complement(u),universal_class))* -> member(omega,union(u,identity_relation)).
% 299.72/300.40  167219[5:Rew:124865.0,167155.0] || equal(symmetric_difference(complement(u),universal_class),universal_class) -> member(omega,union(u,identity_relation))*.
% 299.72/300.40  120256[5:SpR:118447.0,8614.0] ||  -> subclass(symmetric_difference(union(u,identity_relation),complement(v)),union(symmetric_difference(universal_class,u),v))*.
% 299.72/300.40  167220[5:Rew:124865.0,167185.1] || subclass(universal_class,union(u,identity_relation))* -> equal(symmetric_difference(complement(u),universal_class),universal_class).
% 299.72/300.40  120305[5:SpL:118447.0,27118.1] || subclass(domain_relation,symmetric_difference(universal_class,u))* subclass(domain_relation,union(u,identity_relation)) -> .
% 299.72/300.40  122614[5:Rew:119684.0,27158.0] || subclass(universal_class,symmetric_difference(universal_class,u)) subclass(domain_relation,union(u,identity_relation))* -> .
% 299.72/300.40  120306[5:SpL:118447.0,27247.1] || equal(symmetric_difference(universal_class,u),domain_relation)** equal(union(u,identity_relation),domain_relation) -> .
% 299.72/300.40  122559[5:Rew:119684.0,27251.0] || equal(symmetric_difference(universal_class,u),universal_class)** equal(union(u,identity_relation),domain_relation) -> .
% 299.72/300.40  24538[5:SpL:22618.0,3957.1] inductive(intersection(complement(u),universal_class)) || equal(union(u,identity_relation),universal_class)** -> .
% 299.72/300.40  164647[5:Rew:118447.0,151451.0] || equal(union(u,identity_relation),universal_class) -> equal(symmetric_difference(complement(u),universal_class),universal_class)**.
% 299.72/300.40  124883[5:Rew:119684.0,124811.0,22457.0,124811.0,118447.0,124811.0,22457.0,124811.0] ||  -> equal(symmetric_difference(universal_class,symmetric_difference(complement(u),universal_class)),symmetric_difference(union(u,identity_relation),universal_class))**.
% 299.72/300.40  122617[5:Rew:119684.0,22619.1] || equal(complement(union(u,identity_relation)),universal_class) -> member(identity_relation,symmetric_difference(universal_class,u))*.
% 299.72/300.40  122666[5:Rew:119684.0,122665.1] || equal(complement(union(u,identity_relation)),universal_class) -> member(omega,symmetric_difference(universal_class,u))*.
% 299.72/300.40  164652[5:Rew:118447.0,153440.0] || equal(complement(union(u,identity_relation)),universal_class) -> member(singleton(v),complement(u))*.
% 299.72/300.40  164654[5:Rew:118447.0,153498.0] || equal(complement(union(u,identity_relation)),universal_class)** member(singleton(v),u)* -> .
% 299.72/300.40  6490[5:MRR:6486.0,99.0] || equal(compose(u,identity_relation),identity_relation) -> member(ordered_pair(identity_relation,identity_relation),compose_class(u))*.
% 299.72/300.40  6458[5:Res:5615.1,158.0] || subclass(domain_relation,omega) -> equal(integer_of(ordered_pair(identity_relation,identity_relation)),ordered_pair(identity_relation,identity_relation))**.
% 299.72/300.40  28186[5:Res:27132.1,1054.0] || subclass(domain_relation,complement(complement(singleton(u))))* -> equal(ordered_pair(identity_relation,identity_relation),u).
% 299.72/300.40  39173[5:SpL:30.0,28828.0] || equal(restrict(u,v,w),domain_relation)** -> member(ordered_pair(identity_relation,identity_relation),u)*.
% 299.72/300.40  6466[5:Res:5615.1,596.0] || subclass(domain_relation,restrict(u,v,w))* -> member(ordered_pair(identity_relation,identity_relation),u).
% 299.72/300.40  125682[7:Res:125624.1,22549.1] || equal(complement(compose(element_relation,universal_class)),singleton(identity_relation))** member(identity_relation,element_relation) -> .
% 299.72/300.40  125696[7:Res:125624.1,944.0] || equal(symmetric_difference(u,v),singleton(identity_relation)) -> member(identity_relation,union(u,v))*.
% 299.72/300.40  125697[7:Res:125624.1,8834.0] || equal(symmetric_difference(u,inverse(u)),singleton(identity_relation))** -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.40  125698[7:Res:125624.1,8898.0] || equal(symmetric_difference(u,singleton(u)),singleton(identity_relation))** -> member(identity_relation,successor(u)).
% 299.72/300.40  125675[7:Res:125624.1,2.0] || equal(u,singleton(identity_relation)) subclass(u,v)* -> member(identity_relation,v)*.
% 299.72/300.40  27417[5:Res:763.1,22549.1] || subclass(universal_class,complement(compose(element_relation,universal_class)))* member(singleton(u),element_relation)* -> .
% 299.72/300.40  77707[0:SpR:77667.1,54.0] || equal(rest_of(restrict(element_relation,universal_class,u)),rest_relation)** -> equal(sum_class(u),universal_class).
% 299.72/300.40  118038[4:MRR:118028.0,176.0] ||  -> subclass(sum_class(singleton(u)),v) equal(not_subclass_element(sum_class(singleton(u)),v),u)**.
% 299.72/300.40  8927[4:MRR:8926.1,176.0] || member(u,sum_class(singleton(u)))* -> equal(sum_class(singleton(u)),singleton(u)).
% 299.72/300.40  85842[5:Rew:22654.0,85788.0] || member(u,intersection(sum_class(v),universal_class))* -> subclass(singleton(u),sum_class(v)).
% 299.72/300.40  79055[0:Res:45819.1,3646.0] || subclass(sum_class(domain_of(u)),cantor(u))* -> section(element_relation,domain_of(u),universal_class).
% 299.72/300.40  49193[4:Res:3366.1,28313.0] || member(u,universal_class) -> subclass(u,v)* member(least(element_relation,u),u)*.
% 299.72/300.40  41203[0:SoR:3677.0,72.1] one_to_one(sum_class(cross_product(universal_class,universal_class))) ||  -> section(element_relation,cross_product(universal_class,universal_class),universal_class)*.
% 299.72/300.40  176565[5:Res:5615.1,119659.0] || subclass(domain_relation,symmetric_difference(universal_class,u)) member(ordered_pair(identity_relation,identity_relation),u)* -> .
% 299.72/300.40  176566[5:Res:5615.1,119626.0] || subclass(domain_relation,symmetric_difference(universal_class,u)) -> member(ordered_pair(identity_relation,identity_relation),complement(u))*.
% 299.72/300.40  178032[14:Res:178018.1,8165.1] || subclass(omega,intersection(u,v)) member(identity_relation,symmetric_difference(u,v))* -> .
% 299.72/300.40  178054[14:Res:178018.1,595.0] || subclass(omega,restrict(u,v,w))* -> member(identity_relation,cross_product(v,w)).
% 299.72/300.40  178192[14:SpL:118447.0,178030.0] || subclass(omega,union(u,identity_relation)) member(identity_relation,symmetric_difference(universal_class,u))* -> .
% 299.72/300.40  178448[14:SpL:118447.0,178300.1] || equal(symmetric_difference(universal_class,u),universal_class)** equal(union(u,identity_relation),omega) -> .
% 299.72/300.40  178478[14:SpL:118447.0,178304.0] || equal(complement(union(u,identity_relation)),omega) -> member(identity_relation,symmetric_difference(universal_class,u))*.
% 299.72/300.40  178492[14:SpL:118447.0,178428.1] || equal(symmetric_difference(universal_class,u),omega)** equal(union(u,identity_relation),omega) -> .
% 299.72/300.40  178552[14:SpL:160.0,178033.0] || subclass(omega,symmetric_difference(u,v)) -> member(identity_relation,complement(intersection(u,v)))*.
% 299.72/300.40  178683[14:SpL:30.0,178572.0] || equal(restrict(u,v,w),omega)** -> member(identity_relation,cross_product(v,w))*.
% 299.72/300.40  178686[14:SpL:160.0,178572.0] || equal(symmetric_difference(u,v),omega) -> member(identity_relation,complement(intersection(u,v)))*.
% 299.72/300.40  178713[14:Res:178680.1,8165.1] || equal(intersection(u,v),omega) member(identity_relation,symmetric_difference(u,v))* -> .
% 299.72/300.40  179889[7:SpR:25601.0,179749.0] ||  -> member(identity_relation,complement(symmetric_difference(u,universal_class))) member(identity_relation,complement(intersection(u,universal_class)))*.
% 299.72/300.40  179890[7:SpR:25601.0,179748.1] || member(identity_relation,intersection(u,universal_class)) -> member(identity_relation,complement(symmetric_difference(u,universal_class)))*.
% 299.72/300.40  179997[14:Res:124837.1,178202.1] || equal(symmetric_difference(universal_class,u),universal_class)** equal(complement(complement(u)),omega) -> .
% 299.72/300.40  180056[14:SpL:22914.0,178033.0] || subclass(omega,symmetric_difference(complement(u),universal_class))* -> member(identity_relation,union(u,identity_relation)).
% 299.72/300.40  180058[14:SpL:22914.0,178572.0] || equal(symmetric_difference(complement(u),universal_class),omega) -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  180113[5:SpL:122382.0,166443.0] || subclass(universal_class,symmetric_difference(u,universal_class)) member(identity_relation,intersection(u,universal_class))* -> .
% 299.72/300.40  180171[5:SpL:122382.0,166528.0] || equal(symmetric_difference(u,universal_class),universal_class) member(identity_relation,intersection(u,universal_class))* -> .
% 299.72/300.40  113736[5:Obv:113717.1] || subclass(range_of(u),complement(cantor(inverse(u))))* -> equal(range_of(u),identity_relation).
% 299.72/300.40  6467[5:Res:5615.1,610.0] || subclass(domain_relation,cantor(inverse(u))) -> member(ordered_pair(identity_relation,identity_relation),range_of(u))*.
% 299.72/300.40  39214[5:SpL:22595.0,28860.0] || equal(cantor(inverse(u)),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),range_of(u))*.
% 299.72/300.40  5346[5:Rew:5180.0,617.0] ||  -> equal(cantor(inverse(u)),identity_relation) member(regular(cantor(inverse(u))),range_of(u))*.
% 299.72/300.40  79141[5:Res:46090.0,5229.1] inductive(restrict(cantor(inverse(u)),v,w)) ||  -> member(identity_relation,range_of(u))*.
% 299.72/300.40  178285[14:Res:29474.1,178202.1] || member(identity_relation,range_of(u)) equal(complement(cantor(inverse(u))),omega)** -> .
% 299.72/300.40  38889[5:SpL:40.0,38805.1] || equal(complement(cantor(inverse(u))),domain_relation)** subclass(domain_relation,range_of(u)) -> .
% 299.72/300.40  40477[5:SpL:40.0,40386.1] || equal(complement(cantor(inverse(u))),universal_class)** subclass(domain_relation,range_of(u)) -> .
% 299.72/300.40  1030[0:Res:779.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(ordered_pair(v,w),range_of(u))*.
% 299.72/300.40  178436[14:Res:86994.1,178297.0] || equal(cantor(inverse(u)),omega)** equal(complement(range_of(u)),omega) -> .
% 299.72/300.40  38911[5:SpL:40.0,38886.1] || equal(cantor(inverse(u)),domain_relation)** equal(complement(range_of(u)),domain_relation) -> .
% 299.72/300.40  38694[5:SpL:40.0,37924.1] || subclass(domain_relation,cantor(inverse(u)))* subclass(domain_relation,complement(range_of(u))) -> .
% 299.72/300.40  39312[5:SpL:40.0,39254.1] || equal(cantor(inverse(u)),domain_relation) subclass(domain_relation,complement(range_of(u)))* -> .
% 299.72/300.40  40440[5:SpL:40.0,40265.1] || subclass(domain_relation,cantor(inverse(u)))* subclass(universal_class,complement(range_of(u))) -> .
% 299.72/300.40  40403[5:SpL:40.0,40264.1] || equal(cantor(inverse(u)),domain_relation) subclass(universal_class,complement(range_of(u)))* -> .
% 299.72/300.40  21273[0:SpL:40.0,4154.1] || subclass(universal_class,cantor(inverse(u)))* subclass(universal_class,complement(range_of(u))) -> .
% 299.72/300.40  1007[0:Res:762.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(unordered_pair(v,w),range_of(u))*.
% 299.72/300.40  176821[7:Res:86994.1,125550.0] || equal(cantor(inverse(u)),singleton(identity_relation)) well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.40  41207[0:SpL:40.0,41200.1] || equal(complement(rest_of(inverse(u))),universal_class)** member(v,range_of(u))* -> .
% 299.72/300.40  160969[5:Res:29474.1,153534.1] || member(u,range_of(v))* equal(complement(cantor(inverse(v))),universal_class)** -> .
% 299.72/300.40  121470[5:Res:120735.0,5229.1] inductive(cantor(inverse(cross_product(u,universal_class)))) ||  -> member(identity_relation,image(universal_class,u))*.
% 299.72/300.40  120742[5:SpR:120676.0,22635.0] ||  -> subclass(symmetric_difference(image(universal_class,u),universal_class),complement(cantor(inverse(cross_product(u,universal_class)))))*.
% 299.72/300.40  120745[0:SpR:120676.0,46090.0] ||  -> subclass(restrict(cantor(inverse(cross_product(u,universal_class))),v,w),image(universal_class,u))*.
% 299.72/300.40  8480[5:Res:8453.1,5197.1] || equal(image(successor_relation,u),identity_relation)** member(identity_relation,u) -> inductive(u).
% 299.72/300.40  16085[5:Res:16080.1,331.0] ||  -> equal(singleton(image(u,singleton(v))),identity_relation)** member(apply(u,v),universal_class).
% 299.72/300.40  151303[5:Rew:43.0,151298.0] || equal(image(u,v),universal_class) -> section(element_relation,image(u,v),universal_class)*.
% 299.72/300.40  22714[5:Rew:22446.0,7211.0] ||  -> equal(cantor(inverse(restrict(u,v,universal_class))),intersection(image(u,v),universal_class))**.
% 299.72/300.40  150454[5:Rew:69.0,150449.0] || equal(apply(u,v),universal_class) -> section(element_relation,apply(u,v),universal_class)*.
% 299.72/300.40  29544[5:Res:5216.2,29469.0] || member(u,universal_class) -> equal(u,identity_relation) member(apply(choice,u),universal_class)*.
% 299.72/300.40  7527[0:Res:7512.1,2.0] function(u) || subclass(universal_class,v) -> member(apply(u,w),v)*.
% 299.72/300.40  24881[5:Res:22635.0,5229.1] inductive(symmetric_difference(range_of(u),universal_class)) ||  -> member(identity_relation,complement(cantor(inverse(u))))*.
% 299.72/300.40  180108[5:Rew:22481.0,180088.1,22481.0,180088.0] ||  -> subclass(singleton(not_subclass_element(power_class(identity_relation),u)),power_class(identity_relation))* subclass(power_class(identity_relation),u).
% 299.72/300.40  8922[5:Res:8453.1,3385.1] || equal(identity_relation,u) member(u,universal_class)* -> equal(sum_class(u),u).
% 299.72/300.40  79047[5:Res:45819.1,5229.1] inductive(u) || subclass(u,cantor(v))* -> member(identity_relation,domain_of(v))*.
% 299.72/300.40  178739[14:Res:178680.1,5405.0] || equal(regular(u),omega) member(identity_relation,u)* -> equal(u,identity_relation).
% 299.72/300.40  178058[14:Res:178018.1,5405.0] || subclass(omega,regular(u))* member(identity_relation,u) -> equal(u,identity_relation).
% 299.72/300.40  124133[5:Res:119647.1,5405.0] || equal(regular(u),universal_class) member(identity_relation,u)* -> equal(u,identity_relation).
% 299.72/300.40  8088[5:Res:5196.1,5405.0] || subclass(universal_class,regular(u))* member(identity_relation,u) -> equal(u,identity_relation).
% 299.72/300.40  178729[14:Res:178680.1,9.0] || equal(unordered_pair(u,v),omega)** -> equal(identity_relation,v) equal(identity_relation,u).
% 299.72/300.40  178048[14:Res:178018.1,9.0] || subclass(omega,unordered_pair(u,v))* -> equal(identity_relation,v) equal(identity_relation,u).
% 299.72/300.40  29598[5:Res:5404.2,29469.0] || well_ordering(u,universal_class) -> equal(v,identity_relation) member(least(u,v),universal_class)*.
% 299.72/300.40  123942[5:MRR:123935.1,5185.0] || well_ordering(u,omega) -> equal(integer_of(least(u,omega)),least(u,omega))**.
% 299.72/300.40  5435[5:Rew:5180.0,3604.1] || well_ordering(u,v)* -> equal(segment(u,identity_relation,least(u,identity_relation)),identity_relation)**.
% 299.72/300.40  48803[5:Res:5403.2,29469.0] || well_ordering(u,v) -> equal(v,identity_relation) member(least(u,v),universal_class)*.
% 299.72/300.40  48999[3:Res:28061.2,29469.0] inductive(u) || well_ordering(v,u) -> member(least(v,u),universal_class)*.
% 299.72/300.40  46292[0:Res:763.1,3924.0] || subclass(universal_class,u)* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  46339[5:Res:5615.1,3924.0] || subclass(domain_relation,u)* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  124106[5:Res:119647.1,3924.0] || equal(u,universal_class) subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  111286[0:Res:45832.1,46369.0] || member(singleton(singleton(u)),cantor(v))* well_ordering(universal_class,domain_of(v)) -> .
% 299.72/300.40  86935[0:Res:45819.1,46366.0] || subclass(ordered_pair(u,v),cantor(w))* well_ordering(universal_class,domain_of(w)) -> .
% 299.72/300.40  152779[0:Res:122840.1,22.0] || well_ordering(universal_class,complement(intersection(u,v)))* -> member(singleton(singleton(w)),u)*.
% 299.72/300.40  152780[0:Res:122840.1,23.0] || well_ordering(universal_class,complement(intersection(u,v)))* -> member(singleton(singleton(w)),v)*.
% 299.72/300.40  152775[0:Res:122840.1,25.1] || well_ordering(universal_class,complement(complement(u)))* member(singleton(singleton(v)),u)* -> .
% 299.72/300.40  152792[5:Res:122840.1,29473.0] || well_ordering(universal_class,complement(domain_of(u))) -> member(singleton(singleton(v)),cantor(u))*.
% 299.72/300.40  117099[0:MRR:117069.0,176.0] || well_ordering(universal_class,union(u,v))* -> member(singleton(singleton(w)),complement(v))*.
% 299.72/300.40  116712[0:MRR:116690.0,176.0] || well_ordering(universal_class,union(u,v))* -> member(singleton(singleton(w)),complement(u))*.
% 299.72/300.40  164655[5:Rew:118447.0,153522.0] || well_ordering(universal_class,union(u,identity_relation))* member(singleton(singleton(v)),u)* -> .
% 299.72/300.40  167202[5:SpL:118447.0,152807.0] || well_ordering(universal_class,union(u,identity_relation)) well_ordering(universal_class,symmetric_difference(universal_class,u))* -> .
% 299.72/300.40  89686[5:SpL:5338.1,86932.0] || well_ordering(universal_class,regular(cross_product(u,v)))* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  111335[5:Res:29487.1,111279.0] || member(singleton(singleton(u)),element_relation)* well_ordering(universal_class,compose(element_relation,universal_class))* -> .
% 299.72/300.40  46845[3:Res:28041.2,29469.0] inductive(u) || well_ordering(v,universal_class) -> member(least(v,u),universal_class)*.
% 299.72/300.40  189290[7:Res:608.1,125680.1] || member(identity_relation,cantor(u))* equal(complement(domain_of(u)),singleton(identity_relation)) -> .
% 299.72/300.40  189291[7:Res:117277.0,125680.1] || equal(complement(inverse(singleton(identity_relation))),singleton(identity_relation))** -> asymmetric(singleton(identity_relation),u)*.
% 299.72/300.40  189309[14:Res:178730.1,125680.1] || equal(domain_of(u),omega) equal(complement(cantor(u)),singleton(identity_relation))** -> .
% 299.72/300.40  189310[14:Res:178049.1,125680.1] || subclass(omega,domain_of(u))* equal(complement(cantor(u)),singleton(identity_relation)) -> .
% 299.72/300.40  189315[7:Res:179748.1,125680.1] || member(identity_relation,u) equal(complement(union(u,identity_relation)),singleton(identity_relation))** -> .
% 299.72/300.40  189318[14:Res:178684.1,125680.1] || equal(cantor(u),omega) equal(complement(domain_of(u)),singleton(identity_relation))** -> .
% 299.72/300.40  189319[14:Res:178550.1,125680.1] || subclass(omega,cantor(u))* equal(complement(domain_of(u)),singleton(identity_relation)) -> .
% 299.72/300.40  189331[7:Rew:118447.0,189286.1] || member(identity_relation,complement(u))* equal(union(u,identity_relation),singleton(identity_relation)) -> .
% 299.72/300.40  189339[7:SpL:118447.0,189304.1] inductive(symmetric_difference(universal_class,u)) || equal(union(u,identity_relation),singleton(identity_relation))** -> .
% 299.72/300.40  189342[7:SpL:56.0,189304.1] inductive(image(element_relation,complement(u))) || equal(power_class(u),singleton(identity_relation))** -> .
% 299.72/300.40  189370[14:Res:125686.1,178202.1] || equal(domain_of(u),singleton(identity_relation)) equal(complement(cantor(u)),omega)** -> .
% 299.72/300.40  189383[7:Rew:39.0,189349.0] || equal(inverse(u),singleton(identity_relation)) -> member(identity_relation,intersection(inverse(u),universal_class))*.
% 299.72/300.40  189726[7:Rew:189431.0,189524.1] ||  -> member(not_subclass_element(u,singleton(identity_relation)),complement(singleton(identity_relation)))* subclass(u,singleton(identity_relation)).
% 299.72/300.40  189530[7:Rew:189431.0,165744.0] ||  -> subclass(complement(union(complement(singleton(identity_relation)),u)),intersection(singleton(identity_relation),complement(u)))*.
% 299.72/300.40  189531[7:Rew:189431.0,124464.0] ||  -> equal(complement(intersection(singleton(identity_relation),complement(u))),union(complement(singleton(identity_relation)),u))**.
% 299.72/300.40  189533[7:Rew:189431.0,165763.0] ||  -> subclass(complement(union(u,complement(singleton(identity_relation)))),intersection(complement(u),singleton(identity_relation)))*.
% 299.72/300.40  189534[7:Rew:189431.0,124456.0] ||  -> equal(complement(intersection(complement(u),singleton(identity_relation))),union(u,complement(singleton(identity_relation))))**.
% 299.72/300.40  189580[7:Rew:189431.0,179140.0] ||  -> member(identity_relation,image(element_relation,singleton(identity_relation)))* member(identity_relation,power_class(complement(singleton(identity_relation)))).
% 299.72/300.40  189653[7:Rew:189431.0,125388.1] || well_ordering(u,singleton(identity_relation)) -> member(least(u,singleton(identity_relation)),singleton(identity_relation))*.
% 299.72/300.40  190392[7:Rew:54.0,190354.0] || equal(sum_class(u),singleton(identity_relation)) -> member(identity_relation,intersection(sum_class(u),universal_class))*.
% 299.72/300.40  190490[5:Rew:27.0,190472.0] || equal(union(u,v),universal_class) -> section(element_relation,union(u,v),universal_class)*.
% 299.72/300.40  190660[5:Rew:27.0,190551.0] || equal(union(u,v),universal_class) -> equal(complement(union(u,v)),identity_relation)**.
% 299.72/300.40  191000[5:Rew:69.0,190949.0] || equal(apply(u,v),universal_class) -> equal(complement(apply(u,v)),identity_relation)**.
% 299.72/300.40  191062[14:SpL:122382.0,178042.0] || subclass(omega,symmetric_difference(u,universal_class)) member(identity_relation,intersection(u,universal_class))* -> .
% 299.72/300.40  191293[14:Res:178692.1,178202.1] || equal(symmetric_difference(universal_class,u),omega)** equal(complement(complement(u)),omega) -> .
% 299.72/300.40  191310[14:SpL:122382.0,178723.0] || equal(symmetric_difference(u,universal_class),omega) member(identity_relation,intersection(u,universal_class))* -> .
% 299.72/300.40  191743[15:SpR:191728.0,14.0] ||  -> equal(unordered_pair(identity_relation,unordered_pair(range_of(identity_relation),singleton(u))),ordered_pair(range_of(identity_relation),u))**.
% 299.72/300.40  192094[15:SpL:191735.0,16.0] || member(singleton(singleton(identity_relation)),cross_product(u,v))* -> member(range_of(identity_relation),v).
% 299.72/300.40  192151[15:Rew:119684.0,192139.0,22454.0,192139.0] ||  -> equal(complement(image(element_relation,successor(range_of(identity_relation)))),power_class(symmetric_difference(universal_class,range_of(identity_relation))))**.
% 299.72/300.40  192296[15:Res:191820.0,5229.1] inductive(complement(successor(range_of(identity_relation)))) ||  -> member(identity_relation,symmetric_difference(universal_class,range_of(identity_relation)))*.
% 299.72/300.40  192334[12:SpL:120676.0,191616.0] || member(image(universal_class,u),universal_class)* member(cross_product(u,universal_class),universal_class) -> .
% 299.72/300.40  192408[12:SpR:120676.0,192335.1] || member(cross_product(u,universal_class),universal_class)* -> equal(integer_of(image(universal_class,u)),identity_relation).
% 299.72/300.40  192414[12:SpR:192336.1,44.0] || member(u,universal_class) -> equal(union(range_of(u),identity_relation),successor(range_of(u)))**.
% 299.72/300.40  192455[12:SpR:120676.0,192336.1] || member(cross_product(u,universal_class),universal_class)* -> equal(singleton(image(universal_class,u)),identity_relation).
% 299.72/300.40  192610[7:MRR:192600.0,5265.0] ||  -> member(identity_relation,domain_of(element_relation)) equal(power_class(complement(singleton(identity_relation))),complement(range_of(identity_relation)))**.
% 299.72/300.40  192660[15:SpR:191858.0,179749.0] ||  -> member(identity_relation,successor(sum_class(range_of(identity_relation)))) member(identity_relation,complement(sum_class(range_of(identity_relation))))*.
% 299.72/300.40  192661[15:SpR:191858.0,179748.1] || member(identity_relation,sum_class(range_of(identity_relation))) -> member(identity_relation,successor(sum_class(range_of(identity_relation))))*.
% 299.72/300.40  192926[5:Rew:43.0,192872.0] || equal(image(u,v),universal_class) -> equal(complement(image(u,v)),identity_relation)**.
% 299.72/300.40  193103[5:Rew:6805.0,193085.1,6805.0,193085.0] ||  -> subclass(singleton(not_subclass_element(power_class(universal_class),u)),power_class(universal_class))* subclass(power_class(universal_class),u).
% 299.72/300.40  193114[7:Rew:54.0,193106.1] || subclass(singleton(identity_relation),intersection(sum_class(u),universal_class))* -> member(identity_relation,sum_class(u)).
% 299.72/300.40  193115[7:Rew:39.0,193107.1] || subclass(singleton(identity_relation),intersection(inverse(u),universal_class))* -> member(identity_relation,inverse(u)).
% 299.72/300.40  193426[7:Rew:22654.0,193419.0] || member(identity_relation,intersection(sum_class(u),universal_class))* well_ordering(universal_class,sum_class(u)) -> .
% 299.72/300.40  193427[7:Rew:22667.0,193421.0] || member(identity_relation,intersection(inverse(u),universal_class))* well_ordering(universal_class,inverse(u)) -> .
% 299.72/300.40  194010[15:Res:45819.1,191968.0] || subclass(singleton(singleton(identity_relation)),cantor(u))* -> member(singleton(identity_relation),domain_of(u)).
% 299.72/300.40  194019[15:SpR:118447.0,194012.1] ||  -> member(singleton(identity_relation),symmetric_difference(universal_class,u))* member(singleton(identity_relation),union(u,identity_relation)).
% 299.72/300.40  194149[15:Res:192110.1,25.1] || equal(complement(u),singleton(singleton(identity_relation))) member(singleton(identity_relation),u)* -> .
% 299.72/300.40  194152[15:Res:192110.1,22.0] || equal(intersection(u,v),singleton(singleton(identity_relation)))** -> member(singleton(identity_relation),u)*.
% 299.72/300.40  194153[15:Res:192110.1,23.0] || equal(intersection(u,v),singleton(singleton(identity_relation)))** -> member(singleton(identity_relation),v)*.
% 299.72/300.40  194168[15:Res:192110.1,29473.0] || equal(domain_of(u),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),cantor(u))*.
% 299.72/300.40  194206[14:Res:193112.1,178202.1] || equal(cantor(u),singleton(identity_relation)) equal(complement(domain_of(u)),omega)** -> .
% 299.72/300.40  194725[5:SpR:168166.1,160.0] || equal(complement(union(u,v)),universal_class)** -> equal(symmetric_difference(u,v),identity_relation).
% 299.72/300.40  194726[5:SpR:168166.1,932.0] || equal(complement(successor(u)),universal_class) -> equal(symmetric_difference(u,singleton(u)),identity_relation)**.
% 299.72/300.40  194727[5:SpR:168166.1,931.0] || equal(complement(symmetrization_of(u)),universal_class) -> equal(symmetric_difference(u,inverse(u)),identity_relation)**.
% 299.72/300.40  194750[5:SpR:168166.1,86316.0] || equal(complement(complement(inverse(u))),universal_class) -> subclass(complement(symmetrization_of(u)),identity_relation)*.
% 299.72/300.40  194808[5:Rew:118446.0,194678.1,22454.0,194678.1] || equal(complement(u),universal_class) -> equal(symmetric_difference(v,u),union(v,u))**.
% 299.72/300.40  194984[5:Rew:118446.0,194844.1,22454.0,194844.1] || equal(complement(u),universal_class) -> equal(symmetric_difference(u,v),union(u,v))**.
% 299.72/300.40  195076[5:Rew:54.0,195072.1] || equal(complement(intersection(sum_class(u),universal_class)),universal_class)** -> equal(sum_class(u),identity_relation).
% 299.72/300.40  195079[5:Rew:39.0,195073.1] || equal(complement(intersection(inverse(u),universal_class)),universal_class)** -> equal(inverse(u),identity_relation).
% 299.72/300.40  195129[17:SpL:54.0,195123.1] || member(restrict(element_relation,universal_class,u),universal_class)* member(v,sum_class(u))* -> .
% 299.72/300.40  195131[17:SpL:39.0,195123.1] || member(flip(cross_product(u,universal_class)),universal_class)* member(v,inverse(u))* -> .
% 299.72/300.40  197190[17:SpR:196367.1,865.0] || equal(rest_of(apply(choice,omega)),rest_relation)** -> equal(apply(choice,omega),identity_relation).
% 299.72/300.40  197206[17:SpR:196425.0,44.0] ||  -> equal(range_of(u),identity_relation) equal(union(inverse(u),identity_relation),successor(inverse(u)))**.
% 299.72/300.40  197364[17:SpR:168482.0,195308.1] function(recursion(u,successor_relation,identity_relation)) ||  -> equal(domain_of(ordinal_add(u,v)),identity_relation)**.
% 299.72/300.40  197423[17:SpR:168482.0,196078.1] function(recursion(u,successor_relation,identity_relation)) ||  -> equal(cantor(ordinal_add(u,v)),identity_relation)**.
% 299.72/300.40  198048[17:Res:195614.1,25.1] || subclass(domain_relation,complement(u)) member(singleton(singleton(singleton(identity_relation))),u)* -> .
% 299.72/300.40  198051[17:Res:195614.1,22.0] || subclass(domain_relation,intersection(u,v))* -> member(singleton(singleton(singleton(identity_relation))),u)*.
% 299.72/300.40  198052[17:Res:195614.1,23.0] || subclass(domain_relation,intersection(u,v))* -> member(singleton(singleton(singleton(identity_relation))),v)*.
% 299.72/300.40  198067[17:Res:195614.1,29473.0] || subclass(domain_relation,domain_of(u)) -> member(singleton(singleton(singleton(identity_relation))),cantor(u))*.
% 299.72/300.40  198602[14:Res:106230.1,178202.1] || equal(complement(sum_class(singleton(identity_relation))),omega)** -> equal(sum_class(singleton(identity_relation)),identity_relation).
% 299.72/300.40  198683[5:SpR:5707.1,145868.1] || subclass(u,singleton(u))* -> equal(singleton(u),identity_relation) equal(identity_relation,u).
% 299.72/300.40  198879[15:SpR:191737.0,164613.0] ||  -> subclass(symmetric_difference(complement(range_of(identity_relation)),symmetric_difference(universal_class,range_of(identity_relation))),successor(range_of(identity_relation)))*.
% 299.72/300.40  199259[15:Res:118490.1,199206.0] || member(singleton(identity_relation),complement(u)) well_ordering(universal_class,symmetric_difference(universal_class,u))* -> .
% 299.72/300.40  199264[15:Res:117277.0,199206.0] || well_ordering(universal_class,inverse(singleton(singleton(identity_relation))))* -> asymmetric(singleton(singleton(identity_relation)),u)*.
% 299.72/300.40  199283[15:SpL:118447.0,199274.0] || well_ordering(universal_class,union(u,identity_relation)) -> member(singleton(identity_relation),symmetric_difference(universal_class,u))*.
% 299.72/300.40  199397[15:Res:45819.1,191991.0] || subclass(ordered_pair(range_of(identity_relation),u),cantor(v))* -> member(identity_relation,domain_of(v)).
% 299.72/300.40  199415[14:Res:192415.1,178202.1] || member(u,universal_class) equal(complement(ordered_pair(range_of(u),v)),omega)** -> .
% 299.72/300.40  200083[17:Res:197207.1,178202.1] || equal(complement(ordered_pair(inverse(u),v)),omega)** -> equal(range_of(u),identity_relation).
% 299.72/300.40  200516[16:Res:86994.1,192688.0] || equal(cantor(inverse(u)),successor(range_of(identity_relation))) -> member(identity_relation,range_of(u))*.
% 299.72/300.40  200613[15:Res:29474.1,199206.0] || member(singleton(identity_relation),range_of(u)) well_ordering(universal_class,cantor(inverse(u)))* -> .
% 299.72/300.40  200714[5:SpR:200704.1,44.0] || equal(u,universal_class) -> inductive(u) equal(union(u,identity_relation),successor(u))**.
% 299.72/300.40  201263[15:Res:45819.1,201232.0] || subclass(singleton(singleton(identity_relation)),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.40  201580[5:SpR:118447.0,201460.1] || subclass(symmetric_difference(universal_class,u),identity_relation)* -> equal(complement(union(u,identity_relation)),identity_relation).
% 299.72/300.40  202149[17:MRR:198763.2,202145.0] || member(u,universal_class) subclass(domain_relation,complement(singleton(ordered_pair(u,identity_relation))))* -> .
% 299.72/300.40  202462[5:Res:133.1,202409.1] inductive(domain_of(restrict(u,v,identity_relation))) || section(u,identity_relation,v)* -> .
% 299.72/300.40  202849[5:SpR:202351.1,9005.0] || equal(singleton(u),identity_relation) -> subclass(symmetric_difference(complement(u),universal_class),successor(u))*.
% 299.72/300.40  202900[5:SpR:202351.1,8614.0] || equal(identity_relation,u) -> subclass(symmetric_difference(complement(v),universal_class),union(v,u))*.
% 299.72/300.40  202933[5:SpR:202351.1,9004.0] || equal(inverse(u),identity_relation) -> subclass(symmetric_difference(complement(u),universal_class),symmetrization_of(u))*.
% 299.72/300.40  203271[5:Rew:119684.0,202850.1] || equal(singleton(u),identity_relation) -> subclass(complement(successor(u)),symmetric_difference(universal_class,u))*.
% 299.72/300.40  203284[5:Rew:119684.0,202904.1] || equal(identity_relation,u) -> subclass(complement(union(v,u)),symmetric_difference(universal_class,v))*.
% 299.72/300.40  203286[5:Rew:119684.0,202934.1] || equal(inverse(u),identity_relation) -> subclass(complement(symmetrization_of(u)),symmetric_difference(universal_class,u))*.
% 299.72/300.40  204030[5:Res:203246.1,2.0] || equal(complement(u),identity_relation) subclass(u,v)* -> member(identity_relation,v)*.
% 299.72/300.40  204041[5:Res:203246.1,944.0] || equal(complement(symmetric_difference(u,v)),identity_relation) -> member(identity_relation,union(u,v))*.
% 299.72/300.40  204042[5:Res:203246.1,8898.0] || equal(complement(symmetric_difference(u,singleton(u))),identity_relation)** -> member(identity_relation,successor(u)).
% 299.72/300.40  204089[5:Rew:27.0,204039.0] || equal(union(u,v),identity_relation) member(identity_relation,union(u,v))* -> .
% 299.72/300.40  204101[5:Res:203247.1,2.0] || equal(complement(u),identity_relation) subclass(u,v)* -> member(omega,v)*.
% 299.72/300.40  204112[5:Res:203247.1,944.0] || equal(complement(symmetric_difference(u,v)),identity_relation) -> member(omega,union(u,v))*.
% 299.72/300.40  204113[5:Res:203247.1,8898.0] || equal(complement(symmetric_difference(u,singleton(u))),identity_relation)** -> member(omega,successor(u)).
% 299.72/300.40  204148[5:Rew:27.0,204110.0] || equal(union(u,v),identity_relation) member(omega,union(u,v))* -> .
% 299.72/300.40  204378[5:Res:780.2,203257.1] || member(u,universal_class)* subclass(rest_relation,v)* equal(identity_relation,v) -> .
% 299.72/300.40  204642[5:SpR:201811.1,126709.0] || subclass(cantor(inverse(u)),identity_relation)* -> equal(symmetric_difference(range_of(u),universal_class),universal_class).
% 299.72/300.40  204643[5:SpR:201811.1,124865.0] || subclass(symmetric_difference(universal_class,u),identity_relation)* -> equal(symmetric_difference(complement(u),universal_class),universal_class).
% 299.72/300.40  204752[5:Res:26.2,204710.1] || member(u,universal_class)* subclass(complement(v),identity_relation)* -> member(u,v)*.
% 299.72/300.40  204783[5:Res:29470.2,204710.1] || member(u,universal_class)* member(v,u)* subclass(element_relation,identity_relation) -> .
% 299.72/300.40  204793[5:Res:780.2,204710.1] || member(u,universal_class)* subclass(rest_relation,v)* subclass(v,identity_relation)* -> .
% 299.72/300.40  204934[5:SpR:203226.1,124865.0] || equal(symmetric_difference(universal_class,u),identity_relation) -> equal(symmetric_difference(complement(u),universal_class),universal_class)**.
% 299.72/300.40  205059[11:SpL:203228.1,203654.0] || equal(identity_relation,u) equal(complement(intersection(power_class(u),universal_class)),identity_relation)** -> .
% 299.72/300.40  205113[5:MRR:205017.1,5265.0] || equal(identity_relation,u) subclass(universal_class,v) -> member(power_class(u),v)*.
% 299.72/300.40  205136[5:MRR:180110.0,205135.0] ||  -> subclass(singleton(apply(choice,power_class(identity_relation))),power_class(identity_relation))* equal(power_class(identity_relation),identity_relation).
% 299.72/300.40  205290[5:Res:205150.1,2.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(identity_relation),v)*.
% 299.72/300.40  205301[5:Res:205150.1,944.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(power_class(identity_relation),union(u,v))*.
% 299.72/300.40  205302[5:Res:205150.1,8898.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(power_class(identity_relation),successor(u)).
% 299.72/300.40  205443[5:SpL:203228.1,205427.0] || equal(identity_relation,u) equal(complement(complement(singleton(power_class(u)))),identity_relation)** -> .
% 299.72/300.40  205634[5:SpR:203318.1,54.0] || equal(rest_of(restrict(element_relation,universal_class,u)),identity_relation)** -> equal(sum_class(u),identity_relation).
% 299.72/300.40  205639[5:SpR:203318.1,39.0] || equal(rest_of(flip(cross_product(u,universal_class))),identity_relation)** -> equal(inverse(u),identity_relation).
% 299.72/300.40  205892[15:SpR:204700.1,191858.0] || subclass(sum_class(range_of(identity_relation)),identity_relation)* -> equal(successor(sum_class(range_of(identity_relation))),identity_relation).
% 299.72/300.40  205984[5:Res:133.1,204822.0] || section(u,identity_relation,v) -> equal(cantor(restrict(u,v,identity_relation)),identity_relation)**.
% 299.72/300.40  206220[5:SpR:205376.1,865.0] || equal(singleton(apply(choice,omega)),identity_relation)** -> equal(apply(choice,omega),identity_relation).
% 299.72/300.40  206395[5:Res:201827.1,610.0] || subclass(complement(cantor(inverse(u))),identity_relation)* -> member(singleton(v),range_of(u))*.
% 299.72/300.40  206397[5:Res:201827.1,596.0] || subclass(complement(restrict(u,v,w)),identity_relation)* -> member(singleton(x),u)*.
% 299.72/300.40  206403[5:Res:201827.1,40810.0] || subclass(complement(rest_of(singleton(u))),identity_relation)* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  206566[5:SpL:118447.0,206410.0] || subclass(union(u,identity_relation),identity_relation) well_ordering(universal_class,symmetric_difference(universal_class,u))* -> .
% 299.72/300.40  206693[5:Res:203299.1,610.0] || equal(complement(cantor(inverse(u))),identity_relation) -> member(singleton(v),range_of(u))*.
% 299.72/300.40  206695[5:Res:203299.1,596.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(singleton(x),u)*.
% 299.72/300.40  206824[5:SpR:204330.1,30.0] || equal(cross_product(u,v),identity_relation) -> equal(restrict(w,u,v),identity_relation)**.
% 299.72/300.40  206836[5:SpR:204330.1,22914.0] || equal(union(u,identity_relation),identity_relation) -> equal(symmetric_difference(complement(u),universal_class),identity_relation)**.
% 299.72/300.40  206838[5:SpR:204330.1,160.0] || equal(complement(intersection(u,v)),identity_relation)** -> equal(symmetric_difference(u,v),identity_relation).
% 299.72/300.40  207153[5:Rew:203283.1,207152.1,207136.1,207152.1] || equal(image(successor_relation,universal_class),identity_relation) -> equal(union(singleton(identity_relation),identity_relation),universal_class)**.
% 299.72/300.40  207205[5:SpR:204745.1,30.0] || subclass(cross_product(u,v),identity_relation)* -> equal(restrict(w,u,v),identity_relation)**.
% 299.72/300.40  207217[5:SpR:204745.1,22914.0] || subclass(union(u,identity_relation),identity_relation)* -> equal(symmetric_difference(complement(u),universal_class),identity_relation).
% 299.72/300.40  207219[5:SpR:204745.1,160.0] || subclass(complement(intersection(u,v)),identity_relation)* -> equal(symmetric_difference(u,v),identity_relation).
% 299.72/300.40  208092[17:SpL:207961.0,122838.1] || subclass(rest_relation,rest_of(regular(complement(power_class(identity_relation)))))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.40  208243[17:SpL:208143.0,122838.1] || subclass(rest_relation,rest_of(regular(complement(power_class(universal_class)))))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.40  208353[11:SpL:203228.1,207944.0] || equal(identity_relation,u) member(regular(complement(power_class(u))),power_class(u))* -> .
% 299.72/300.40  208364[11:SpL:203228.1,207955.0] || equal(identity_relation,u) equal(singleton(regular(complement(power_class(u)))),identity_relation)** -> .
% 299.72/300.40  208374[17:SpL:203228.1,207958.0] || equal(identity_relation,u) equal(rest_of(regular(complement(power_class(u)))),rest_relation)** -> .
% 299.72/300.40  208633[5:SpL:39.0,208585.0] || member(flip(cross_product(u,universal_class)),inverse(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.40  209257[15:SpR:208959.1,120682.0] function(cross_product(u,singleton(v))) ||  -> equal(segment(universal_class,u,v),universal_class)**.
% 299.72/300.40  209794[17:SpR:209320.1,160697.0] function(u) ||  -> subclass(cantor(cross_product(v,identity_relation)),segment(universal_class,v,u))*.
% 299.72/300.40  210098[17:SoR:209330.0,8479.2] single_valued_class(regular(u)) || equal(regular(u),identity_relation)** -> equal(u,identity_relation).
% 299.72/300.40  210118[17:Res:66.2,210026.1] function(u) function(image(u,v)) || member(v,universal_class)* -> .
% 299.72/300.40  210175[17:MRR:210152.2,5.0] function(apply(choice,u)) || member(u,universal_class)* -> equal(u,identity_relation).
% 299.72/300.40  210227[15:SpR:210176.1,191619.1] one_to_one(u) || member(u,universal_class)* -> equal(integer_of(sum_class(universal_class)),identity_relation)**.
% 299.72/300.40  210228[15:SpR:210176.1,191620.1] one_to_one(u) || member(u,universal_class)* -> equal(singleton(sum_class(universal_class)),identity_relation)**.
% 299.72/300.40  210261[15:SpL:210176.1,178263.0] one_to_one(u) || member(sum_class(universal_class),universal_class)* member(u,universal_class)* -> .
% 299.72/300.40  210262[17:SpL:210176.1,195220.1] one_to_one(u) || member(u,universal_class)* equal(sum_class(universal_class),identity_relation) -> .
% 299.72/300.40  210536[17:Rew:22454.0,210404.1] one_to_one(u) ||  -> subclass(symmetric_difference(complement(inverse(u)),universal_class),successor(inverse(u)))*.
% 299.72/300.40  210539[17:Rew:119684.0,210405.1,22454.0,210405.1] one_to_one(u) ||  -> subclass(complement(successor(inverse(u))),symmetric_difference(universal_class,inverse(u)))*.
% 299.72/300.40  210625[5:Res:202851.1,1004.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(unordered_pair(w,x),v)*.
% 299.72/300.40  210641[17:Res:209752.1,2.0] function(u) || subclass(ordered_pair(u,v),w)* -> member(identity_relation,w).
% 299.72/300.40  210694[5:Res:202851.1,1003.0] || equal(complement(intersection(u,v)),identity_relation)** -> member(unordered_pair(w,x),u)*.
% 299.72/300.40  210713[5:Res:203247.1,8834.0] || equal(complement(symmetric_difference(u,inverse(u))),identity_relation)** -> member(omega,symmetrization_of(u)).
% 299.72/300.40  210723[5:Res:205150.1,8834.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(power_class(identity_relation),symmetrization_of(u)).
% 299.72/300.40  210744[5:Res:203246.1,8834.0] || equal(complement(symmetric_difference(u,inverse(u))),identity_relation)** -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.40  210875[5:Res:3780.1,208753.0] || equal(complement(complement(rest_of(singleton(u)))),universal_class)** subclass(element_relation,identity_relation) -> .
% 299.72/300.40  210894[5:Res:122840.1,208753.0] || well_ordering(universal_class,complement(rest_of(singleton(singleton(u)))))* subclass(element_relation,identity_relation) -> .
% 299.72/300.40  210895[15:Res:192110.1,208753.0] || equal(rest_of(singleton(identity_relation)),singleton(singleton(identity_relation)))** subclass(element_relation,identity_relation) -> .
% 299.72/300.40  210947[17:SpR:209751.1,22914.0] function(u) ||  -> equal(intersection(successor(u),universal_class),symmetric_difference(complement(u),universal_class))**.
% 299.72/300.40  210949[17:SpR:209751.1,179710.1] function(u) || equal(complement(u),universal_class)** -> equal(successor(u),identity_relation).
% 299.72/300.40  210950[17:SpR:209751.1,164613.0] function(u) ||  -> subclass(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),successor(u))*.
% 299.72/300.40  210982[17:Res:210402.1,125680.1] one_to_one(u) || equal(complement(ordered_pair(inverse(u),v)),singleton(identity_relation))** -> .
% 299.72/300.40  179022[7:SpR:122494.0,167376.1] ||  -> member(identity_relation,image(element_relation,symmetrization_of(identity_relation)))* member(identity_relation,power_class(complement(inverse(identity_relation)))).
% 299.72/300.40  180210[5:Rew:124149.0,180189.1,124149.0,180189.0] ||  -> subclass(singleton(not_subclass_element(symmetrization_of(identity_relation),u)),symmetrization_of(identity_relation))* subclass(symmetrization_of(identity_relation),u).
% 299.72/300.40  124463[5:SpR:124149.0,27.0] ||  -> equal(complement(intersection(symmetrization_of(identity_relation),complement(u))),union(complement(inverse(identity_relation)),u))**.
% 299.72/300.40  165835[5:SpR:124149.0,47693.0] ||  -> subclass(complement(union(complement(inverse(identity_relation)),u)),intersection(symmetrization_of(identity_relation),complement(u)))*.
% 299.72/300.40  124455[5:SpR:124149.0,27.0] ||  -> equal(complement(intersection(complement(u),symmetrization_of(identity_relation))),union(u,complement(inverse(identity_relation))))**.
% 299.72/300.40  165854[5:SpR:124149.0,47693.0] ||  -> subclass(complement(union(u,complement(inverse(identity_relation)))),intersection(complement(u),symmetrization_of(identity_relation)))*.
% 299.72/300.40  165900[5:Rew:124149.0,165859.1] ||  -> member(not_subclass_element(u,symmetrization_of(identity_relation)),complement(inverse(identity_relation)))* subclass(u,symmetrization_of(identity_relation)).
% 299.72/300.40  207906[17:SpL:207802.0,122838.1] || subclass(rest_relation,rest_of(regular(complement(symmetrization_of(identity_relation)))))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.40  207783[9:Res:207747.0,2.0] || subclass(complement(inverse(identity_relation)),u) -> member(regular(complement(symmetrization_of(identity_relation))),u)*.
% 299.72/300.40  165881[5:SpL:124149.0,3634.0] || subclass(universal_class,complement(symmetrization_of(identity_relation))) -> member(singleton(u),complement(inverse(identity_relation)))*.
% 299.72/300.40  176610[9:Res:86994.1,168277.0] || equal(cantor(inverse(u)),complement(inverse(identity_relation))) -> member(identity_relation,range_of(u))*.
% 299.72/300.40  5725[5:Rew:5180.0,5395.0] || member(ordered_pair(u,v),compose(identity_relation,w))* -> member(v,range_of(identity_relation)).
% 299.72/300.40  210046[17:Rew:209320.1,209853.2] function(u) || member(singleton(singleton(identity_relation)),element_relation)* -> member(identity_relation,u)*.
% 299.72/300.40  212344[20:MRR:124275.1,212333.0] || well_ordering(u,inverse(identity_relation)) -> member(least(u,symmetrization_of(identity_relation)),symmetrization_of(identity_relation))*.
% 299.72/300.40  213090[17:Res:29542.1,195221.0] || subclass(rest_relation,domain_relation) -> equal(u,identity_relation) equal(rest_of(regular(u)),identity_relation)**.
% 299.72/300.40  213113[17:Res:123649.1,195221.0] || subclass(rest_relation,domain_relation)* -> equal(integer_of(u),identity_relation)** equal(rest_of(u),identity_relation).
% 299.72/300.40  213114[17:Res:16080.1,195221.0] || subclass(rest_relation,domain_relation)* -> equal(singleton(u),identity_relation) equal(rest_of(u),identity_relation)**.
% 299.72/300.40  213266[17:Res:29542.1,195222.0] || subclass(domain_relation,rest_relation) -> equal(u,identity_relation) equal(rest_of(regular(u)),identity_relation)**.
% 299.72/300.40  213289[17:Res:123649.1,195222.0] || subclass(domain_relation,rest_relation)* -> equal(integer_of(u),identity_relation)** equal(rest_of(u),identity_relation).
% 299.72/300.40  213290[17:Res:16080.1,195222.0] || subclass(domain_relation,rest_relation)* -> equal(singleton(u),identity_relation) equal(rest_of(u),identity_relation)**.
% 299.72/300.40  213770[5:Res:7.1,5362.0] || equal(singleton(u),omega)** -> equal(integer_of(v),identity_relation)** equal(v,u)*.
% 299.72/300.40  213895[17:Res:195387.1,142.0] || subclass(domain_relation,rotate(rest_of(u))) -> member(ordered_pair(v,identity_relation),domain_of(u))*.
% 299.72/300.40  213896[17:Res:195387.1,15.0] || subclass(domain_relation,rotate(cross_product(u,v)))* -> member(ordered_pair(w,identity_relation),u)*.
% 299.72/300.40  213905[17:Res:195387.1,97.0] || subclass(domain_relation,rotate(composition_function)) -> equal(compose(ordered_pair(u,identity_relation),v),w)*.
% 299.72/300.40  213942[17:SpR:191735.0,195388.1] || subclass(domain_relation,flip(u)) -> member(ordered_pair(singleton(singleton(identity_relation)),identity_relation),u)*.
% 299.72/300.40  213997[17:Res:195388.1,142.0] || subclass(domain_relation,flip(rest_of(u))) -> member(ordered_pair(v,w),domain_of(u))*.
% 299.72/300.40  213998[17:Res:195388.1,15.0] || subclass(domain_relation,flip(cross_product(u,v)))* -> member(ordered_pair(w,x),u)*.
% 299.72/300.40  214064[20:Res:5288.2,212343.0] || subclass(omega,complement(inverse(identity_relation)))* -> equal(integer_of(regular(symmetrization_of(identity_relation))),identity_relation).
% 299.72/300.40  214587[7:Rew:5251.0,214586.0] ||  -> equal(singleton(apply(choice,identity_relation)),identity_relation) equal(apply(choice,singleton(identity_relation)),identity_relation)**.
% 299.72/300.40  214789[0:Res:122671.0,3924.0] || subclass(u,v)* well_ordering(universal_class,v)* -> subclass(w,complement(u))*.
% 299.72/300.40  214828[14:Res:178680.1,3924.0] || equal(u,omega) subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  214829[14:Res:178018.1,3924.0] || subclass(omega,u)* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  214836[7:Res:167376.1,3924.0] || subclass(complement(u),v)* well_ordering(universal_class,v) -> member(identity_relation,u).
% 299.72/300.40  214989[4:Res:212361.1,119659.0] || subclass(omega,symmetric_difference(universal_class,u)) member(least(element_relation,omega),u)* -> .
% 299.72/300.40  214990[4:Res:212361.1,119626.0] || subclass(omega,symmetric_difference(universal_class,u)) -> member(least(element_relation,omega),complement(u))*.
% 299.72/300.40  214999[4:Res:212361.1,610.0] || subclass(omega,cantor(inverse(u))) -> member(least(element_relation,omega),range_of(u))*.
% 299.72/300.40  215001[4:Res:212361.1,596.0] || subclass(omega,restrict(u,v,w))* -> member(least(element_relation,omega),u).
% 299.72/300.40  215009[4:Res:212361.1,40810.0] || subclass(omega,rest_of(least(element_relation,omega)))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  215138[20:Res:212523.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(regular(symmetrization_of(identity_relation)),u)* -> .
% 299.72/300.40  215139[20:Res:212523.1,119626.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(regular(symmetrization_of(identity_relation)),complement(u))*.
% 299.72/300.40  215148[20:Res:212523.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(regular(symmetrization_of(identity_relation)),range_of(u))*.
% 299.72/300.40  215150[20:Res:212523.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.40  215246[4:Res:212539.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(least(element_relation,omega),u)* -> .
% 299.72/300.40  215247[4:Res:212539.1,119626.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(least(element_relation,omega),complement(u))*.
% 299.72/300.40  215256[4:Res:212539.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(least(element_relation,omega),range_of(u))*.
% 299.72/300.40  215258[4:Res:212539.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(least(element_relation,omega),u).
% 299.72/300.40  215343[20:Res:86994.1,214823.0] || equal(cantor(inverse(u)),inverse(identity_relation)) well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.40  215357[20:Res:86994.1,214825.0] || equal(cantor(inverse(u)),symmetrization_of(identity_relation)) well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.40  216381[15:Res:192110.1,211349.1] || equal(singleton(singleton(identity_relation)),power_class(identity_relation))** equal(power_class(identity_relation),identity_relation) -> .
% 299.72/300.40  216721[17:SpL:209751.1,202420.0] function(u) || subclass(successor(u),identity_relation) -> member(identity_relation,complement(u))*.
% 299.72/300.40  216737[7:Rew:56.0,216729.1,22454.0,216729.0] || subclass(complement(intersection(power_class(u),universal_class)),identity_relation)* -> member(identity_relation,power_class(u)).
% 299.72/300.40  216739[17:SpL:209751.1,202421.1] function(u) || member(identity_relation,u) subclass(successor(u),identity_relation)* -> .
% 299.72/300.40  216823[5:Rew:27.0,216799.1] || equal(union(u,v),identity_relation)** equal(union(u,v),universal_class) -> .
% 299.72/300.40  216861[5:Rew:69.0,216857.1] || equal(apply(u,v),identity_relation)** equal(apply(u,v),universal_class) -> .
% 299.72/300.40  216868[5:Rew:43.0,216865.1] || equal(image(u,v),identity_relation)** equal(image(u,v),universal_class) -> .
% 299.72/300.40  216964[14:Rew:27.0,216940.1] || equal(union(u,v),identity_relation)** equal(union(u,v),omega) -> .
% 299.72/300.40  217002[5:Rew:27.0,216979.0] || equal(union(u,v),identity_relation) equal(union(u,v),domain_relation)** -> .
% 299.72/300.40  217057[5:Rew:54.0,217011.1] || equal(complement(intersection(sum_class(u),universal_class)),identity_relation)** -> equal(sum_class(u),universal_class).
% 299.72/300.40  217059[5:Rew:39.0,217012.1] || equal(complement(intersection(inverse(u),universal_class)),identity_relation)** -> equal(inverse(u),universal_class).
% 299.72/300.40  217167[17:MRR:217120.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(regular(complement(power_class(identity_relation)))))* -> .
% 299.72/300.40  217168[17:MRR:217121.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(regular(complement(power_class(universal_class)))))* -> .
% 299.72/300.40  217169[17:MRR:217122.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(regular(complement(symmetrization_of(identity_relation)))))* -> .
% 299.72/300.40  217502[14:Res:203760.1,178202.1] || equal(union(u,identity_relation),identity_relation)** equal(complement(complement(u)),omega) -> .
% 299.72/300.40  217902[5:Res:52.1,5360.0] inductive(complement(u)) || member(v,u)* -> equal(integer_of(v),identity_relation).
% 299.72/300.40  218094[5:Res:608.1,205293.1] || member(power_class(identity_relation),cantor(u))* subclass(universal_class,complement(domain_of(u))) -> .
% 299.72/300.40  218098[5:Res:29487.1,205293.1] || member(power_class(identity_relation),element_relation) subclass(universal_class,complement(compose(element_relation,universal_class)))* -> .
% 299.72/300.40  218113[5:Rew:118447.0,218088.1] || member(power_class(identity_relation),complement(u))* subclass(universal_class,union(u,identity_relation)) -> .
% 299.72/300.40  218126[5:SpL:203228.1,218114.0] || equal(identity_relation,u) subclass(universal_class,complement(unordered_pair(power_class(u),v)))* -> .
% 299.72/300.40  218161[5:SpL:203228.1,218115.0] || equal(identity_relation,u) subclass(universal_class,complement(unordered_pair(v,power_class(u))))* -> .
% 299.72/300.40  218177[5:SpL:203228.1,218131.0] || equal(identity_relation,u) equal(complement(unordered_pair(power_class(u),v)),universal_class)** -> .
% 299.72/300.40  218183[5:SpL:203228.1,218166.0] || equal(identity_relation,u) equal(complement(unordered_pair(v,power_class(u))),universal_class)** -> .
% 299.72/300.40  218996[5:Rew:27.0,218965.0] || equal(union(u,v),identity_relation) subclass(universal_class,union(u,v))* -> .
% 299.72/300.40  219346[0:Res:3780.1,806.0] || equal(complement(complement(cross_product(u,v))),universal_class)** -> member(singleton(w),u)*.
% 299.72/300.40  219487[5:Res:52.1,5466.0] inductive(intersection(u,v)) ||  -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.72/300.40  219569[11:Res:207964.1,25.1] || subclass(universal_class,complement(u)) member(regular(complement(power_class(identity_relation))),u)* -> .
% 299.72/300.40  219573[11:Res:207964.1,22.0] || subclass(universal_class,intersection(u,v))* -> member(regular(complement(power_class(identity_relation))),u)*.
% 299.72/300.40  219574[11:Res:207964.1,23.0] || subclass(universal_class,intersection(u,v))* -> member(regular(complement(power_class(identity_relation))),v)*.
% 299.72/300.40  219675[5:Res:52.1,5467.0] inductive(intersection(u,v)) ||  -> equal(integer_of(w),identity_relation) member(w,u)*.
% 299.72/300.40  219721[10:Res:208146.1,25.1] || subclass(universal_class,complement(u)) member(regular(complement(power_class(universal_class))),u)* -> .
% 299.72/300.40  219725[10:Res:208146.1,22.0] || subclass(universal_class,intersection(u,v))* -> member(regular(complement(power_class(universal_class))),u)*.
% 299.72/300.40  219726[10:Res:208146.1,23.0] || subclass(universal_class,intersection(u,v))* -> member(regular(complement(power_class(universal_class))),v)*.
% 299.72/300.40  219797[5:Obv:219794.1] || subclass(omega,u) -> equal(integer_of(v),identity_relation) subclass(singleton(v),u)*.
% 299.72/300.40  219822[5:SpL:5251.1,208733.0] || member(identity_relation,u)* subclass(element_relation,identity_relation) -> equal(singleton(u),identity_relation).
% 299.72/300.40  219929[14:SpL:5251.1,208802.0] || equal(u,omega) subclass(element_relation,identity_relation)* -> equal(singleton(u),identity_relation)**.
% 299.72/300.40  219936[14:SpL:5251.1,208807.0] || subclass(omega,u)* subclass(element_relation,identity_relation) -> equal(singleton(u),identity_relation).
% 299.72/300.40  220284[5:SpL:5251.1,210759.0] || equal(u,universal_class) subclass(element_relation,identity_relation)* -> equal(singleton(u),identity_relation)**.
% 299.72/300.40  220291[5:SpL:5251.1,210764.0] || subclass(universal_class,u)* subclass(element_relation,identity_relation)* -> equal(singleton(u),identity_relation).
% 299.72/300.40  220372[5:Res:220369.1,816.1] || member(singleton(u),inverse(identity_relation))* subclass(universal_class,complement(symmetrization_of(identity_relation))) -> .
% 299.72/300.40  220377[5:Res:220369.1,205293.1] || member(power_class(identity_relation),inverse(identity_relation))* subclass(universal_class,complement(symmetrization_of(identity_relation))) -> .
% 299.72/300.40  220384[5:Res:220369.1,4.0] || member(not_subclass_element(u,symmetrization_of(identity_relation)),inverse(identity_relation))* -> subclass(u,symmetrization_of(identity_relation)).
% 299.72/300.40  220421[9:Res:207805.1,25.1] || subclass(universal_class,complement(u)) member(regular(complement(symmetrization_of(identity_relation))),u)* -> .
% 299.72/300.40  220425[9:Res:207805.1,22.0] || subclass(universal_class,intersection(u,v))* -> member(regular(complement(symmetrization_of(identity_relation))),u)*.
% 299.72/300.40  220426[9:Res:207805.1,23.0] || subclass(universal_class,intersection(u,v))* -> member(regular(complement(symmetrization_of(identity_relation))),v)*.
% 299.72/300.40  220623[20:Res:212352.1,25.1] || subclass(inverse(identity_relation),complement(u)) member(regular(symmetrization_of(identity_relation)),u)* -> .
% 299.72/300.40  220627[20:Res:212352.1,22.0] || subclass(inverse(identity_relation),intersection(u,v))* -> member(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.40  220628[20:Res:212352.1,23.0] || subclass(inverse(identity_relation),intersection(u,v))* -> member(regular(symmetrization_of(identity_relation)),v).
% 299.72/300.40  220641[20:Res:212352.1,29473.0] || subclass(inverse(identity_relation),domain_of(u)) -> member(regular(symmetrization_of(identity_relation)),cantor(u))*.
% 299.72/300.40  220658[20:Res:212352.1,208753.0] || subclass(inverse(identity_relation),rest_of(regular(symmetrization_of(identity_relation))))* subclass(element_relation,identity_relation) -> .
% 299.72/300.40  220816[7:MRR:220809.0,5265.0] || equal(complement(union(u,v)),singleton(identity_relation))** -> member(identity_relation,complement(u)).
% 299.72/300.40  220817[5:MRR:220791.0,205135.0] || subclass(universal_class,complement(union(u,v)))* -> member(power_class(identity_relation),complement(u)).
% 299.72/300.40  220932[7:MRR:220923.0,5265.0] || equal(complement(union(u,v)),singleton(identity_relation))** -> member(identity_relation,complement(v)).
% 299.72/300.40  220933[5:MRR:220905.0,205135.0] || subclass(universal_class,complement(union(u,v)))* -> member(power_class(identity_relation),complement(v)).
% 299.72/300.40  221418[20:Res:214397.1,25.1] || subclass(symmetrization_of(identity_relation),complement(u)) member(regular(symmetrization_of(identity_relation)),u)* -> .
% 299.72/300.40  221422[20:Res:214397.1,22.0] || subclass(symmetrization_of(identity_relation),intersection(u,v))* -> member(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.40  221423[20:Res:214397.1,23.0] || subclass(symmetrization_of(identity_relation),intersection(u,v))* -> member(regular(symmetrization_of(identity_relation)),v).
% 299.72/300.40  221436[20:Res:214397.1,29473.0] || subclass(symmetrization_of(identity_relation),domain_of(u)) -> member(regular(symmetrization_of(identity_relation)),cantor(u))*.
% 299.72/300.40  221454[20:Res:214397.1,208753.0] || subclass(symmetrization_of(identity_relation),rest_of(regular(symmetrization_of(identity_relation))))* subclass(element_relation,identity_relation) -> .
% 299.72/300.40  221670[5:Res:86317.0,5321.0] ||  -> equal(complement(successor(u)),identity_relation) member(regular(complement(successor(u))),complement(u))*.
% 299.72/300.40  221671[5:Res:86316.0,5321.0] ||  -> equal(complement(symmetrization_of(u)),identity_relation) member(regular(complement(symmetrization_of(u))),complement(u))*.
% 299.72/300.40  221786[9:Res:45819.1,214822.0] || subclass(complement(inverse(identity_relation)),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.40  221840[16:Res:45819.1,214860.0] || subclass(successor(range_of(identity_relation)),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.40  222188[20:MRR:222187.1,212333.0] || member(symmetrization_of(identity_relation),universal_class) -> member(apply(choice,symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.40  222266[5:Res:222129.0,5229.1] inductive(symmetric_difference(inverse(identity_relation),symmetrization_of(identity_relation))) ||  -> member(identity_relation,complement(symmetrization_of(identity_relation)))*.
% 299.72/300.40  222302[17:Res:195614.1,222174.0] || subclass(domain_relation,symmetrization_of(identity_relation)) -> member(singleton(singleton(singleton(identity_relation))),inverse(identity_relation))*.
% 299.72/300.40  222303[5:Res:122840.1,222174.0] || well_ordering(universal_class,complement(symmetrization_of(identity_relation))) -> member(singleton(singleton(u)),inverse(identity_relation))*.
% 299.72/300.40  222304[15:Res:192110.1,222174.0] || equal(singleton(singleton(identity_relation)),symmetrization_of(identity_relation)) -> member(singleton(identity_relation),inverse(identity_relation))*.
% 299.72/300.40  222341[20:MRR:222330.1,212333.0] || well_ordering(u,symmetrization_of(identity_relation)) -> member(least(u,symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.40  222376[5:SpR:222089.0,113956.0] ||  -> equal(complement(complement(singleton(u))),identity_relation) member(u,complement(complement(singleton(u))))*.
% 299.72/300.40  222502[5:SpL:118447.0,222410.0] || subclass(universal_class,complement(union(u,identity_relation)))* -> member(identity_relation,symmetric_difference(universal_class,u)).
% 299.72/300.40  222614[5:SpL:118447.0,222412.0] || subclass(universal_class,complement(union(u,identity_relation)))* -> member(omega,symmetric_difference(universal_class,u)).
% 299.72/300.40  222649[14:SpL:118447.0,222425.0] || subclass(omega,complement(union(u,identity_relation)))* -> member(identity_relation,symmetric_difference(universal_class,u)).
% 299.72/300.40  222683[5:SpL:118447.0,222432.0] || member(u,complement(union(v,identity_relation)))* -> member(u,symmetric_difference(universal_class,v)).
% 299.72/300.40  222703[0:Res:3780.1,222432.0] || equal(complement(complement(complement(complement(u)))),universal_class)** -> member(singleton(v),u)*.
% 299.72/300.40  222733[17:Res:195614.1,222432.0] || subclass(domain_relation,complement(complement(u))) -> member(singleton(singleton(singleton(identity_relation))),u)*.
% 299.72/300.40  222734[0:Res:122840.1,222432.0] || well_ordering(universal_class,complement(complement(complement(u))))* -> member(singleton(singleton(v)),u)*.
% 299.72/300.40  222735[15:Res:192110.1,222432.0] || equal(complement(complement(u)),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),u)*.
% 299.72/300.40  222744[11:Res:207964.1,222432.0] || subclass(universal_class,complement(complement(u))) -> member(regular(complement(power_class(identity_relation))),u)*.
% 299.72/300.40  222745[10:Res:208146.1,222432.0] || subclass(universal_class,complement(complement(u))) -> member(regular(complement(power_class(universal_class))),u)*.
% 299.72/300.40  222746[9:Res:207805.1,222432.0] || subclass(universal_class,complement(complement(u))) -> member(regular(complement(symmetrization_of(identity_relation))),u)*.
% 299.72/300.40  222747[20:Res:214397.1,222432.0] || subclass(symmetrization_of(identity_relation),complement(complement(u)))* -> member(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.40  222748[20:Res:212352.1,222432.0] || subclass(inverse(identity_relation),complement(complement(u)))* -> member(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.40  223058[5:SpL:124149.0,218119.0] || subclass(universal_class,complement(symmetrization_of(identity_relation))) -> member(power_class(identity_relation),complement(inverse(identity_relation)))*.
% 299.72/300.40  223149[5:Res:223091.1,610.0] || equal(complement(cantor(inverse(u))),identity_relation) -> member(power_class(identity_relation),range_of(u))*.
% 299.72/300.40  223151[5:Res:223091.1,596.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(power_class(identity_relation),u).
% 299.72/300.40  223227[14:Rew:43.0,223223.1] || equal(image(u,v),identity_relation)** equal(image(u,v),omega) -> .
% 299.72/300.40  224844[0:MRR:224817.0,57.1] || member(u,universal_class) subclass(universal_class,complement(unordered_pair(power_class(u),v)))* -> .
% 299.72/300.40  224845[0:MRR:224818.0,57.1] || member(u,universal_class) subclass(universal_class,complement(unordered_pair(v,power_class(u))))* -> .
% 299.72/300.40  224940[5:Rew:119684.0,224889.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(omega,union(u,identity_relation))* -> .
% 299.72/300.40  225091[5:MRR:225026.1,5.0] || equal(complement(u),identity_relation) -> equal(integer_of(v),identity_relation) member(v,u)*.
% 299.72/300.40  225093[5:MRR:225040.1,5.0] || equal(complement(u),identity_relation) -> equal(v,identity_relation) member(regular(v),u)*.
% 299.72/300.40  225171[5:SpL:124149.0,222741.0] || equal(union(symmetrization_of(identity_relation),identity_relation),identity_relation) -> member(omega,complement(inverse(identity_relation)))*.
% 299.72/300.40  225219[5:SpL:124149.0,222742.0] || equal(symmetric_difference(universal_class,symmetrization_of(identity_relation)),universal_class) -> member(omega,complement(inverse(identity_relation)))*.
% 299.72/300.40  225423[5:Res:223085.1,25.1] || equal(complement(complement(complement(u))),universal_class)** member(power_class(identity_relation),u) -> .
% 299.72/300.40  225426[5:Res:223085.1,222432.0] || equal(complement(complement(complement(complement(u)))),universal_class)** -> member(power_class(identity_relation),u).
% 299.72/300.40  225428[5:Res:223085.1,22.0] || equal(complement(complement(intersection(u,v))),universal_class)** -> member(power_class(identity_relation),u).
% 299.72/300.40  225429[5:Res:223085.1,23.0] || equal(complement(complement(intersection(u,v))),universal_class)** -> member(power_class(identity_relation),v).
% 299.72/300.40  225440[5:Res:223085.1,158.0] || equal(complement(complement(omega)),universal_class) -> equal(integer_of(power_class(identity_relation)),power_class(identity_relation))**.
% 299.72/300.40  225442[5:Res:223085.1,29473.0] || equal(complement(complement(domain_of(u))),universal_class) -> member(power_class(identity_relation),cantor(u))*.
% 299.72/300.40  225460[5:Res:223085.1,208753.0] || equal(complement(complement(rest_of(power_class(identity_relation)))),universal_class)** subclass(element_relation,identity_relation) -> .
% 299.72/300.40  225476[5:Rew:118447.0,225438.0] || equal(complement(union(u,identity_relation)),universal_class)** member(power_class(identity_relation),u) -> .
% 299.72/300.40  225477[5:Rew:118447.0,225439.0] || equal(complement(union(u,identity_relation)),universal_class) -> member(power_class(identity_relation),complement(u))*.
% 299.72/300.40  225569[5:Rew:27.0,225526.0] || equal(union(u,v),universal_class) -> member(power_class(identity_relation),union(u,v))*.
% 299.72/300.40  225636[5:Rew:69.0,225621.0] || equal(apply(u,v),universal_class) -> member(power_class(identity_relation),apply(u,v))*.
% 299.72/300.40  225688[0:MRR:225661.0,55.1] || member(u,universal_class) subclass(universal_class,complement(unordered_pair(sum_class(u),v)))* -> .
% 299.72/300.40  225689[0:MRR:225662.0,55.1] || member(u,universal_class) subclass(universal_class,complement(unordered_pair(v,sum_class(u))))* -> .
% 299.72/300.40  225718[5:Rew:43.0,225701.0] || equal(image(u,v),universal_class) -> member(power_class(identity_relation),image(u,v))*.
% 299.72/300.40  225760[5:Rew:27.0,225733.0] || equal(union(u,v),universal_class) -> equal(successor(union(u,v)),universal_class)**.
% 299.72/300.40  225830[5:Rew:69.0,225827.0] || equal(apply(u,v),universal_class) -> equal(successor(apply(u,v)),universal_class)**.
% 299.72/300.40  225865[5:Rew:43.0,225846.0] || equal(image(u,v),universal_class) -> equal(successor(image(u,v)),universal_class)**.
% 299.72/300.40  226241[11:SpL:145868.1,226219.0] || subclass(power_class(u),power_class(identity_relation))* equal(complement(power_class(u)),identity_relation) -> .
% 299.72/300.40  226286[0:Res:226257.1,2.0] || member(u,universal_class) subclass(universal_class,v) -> member(rest_of(u),v)*.
% 299.72/300.40  226375[5:Res:201827.1,964.0] || subclass(complement(compose_class(u)),identity_relation)* -> equal(compose(u,singleton(v)),v)**.
% 299.72/300.40  226380[0:Res:122840.1,964.0] || well_ordering(universal_class,complement(compose_class(u)))* -> equal(compose(u,singleton(v)),v)**.
% 299.72/300.40  226543[11:SpL:145868.1,226483.0] || subclass(successor(u),power_class(identity_relation))* equal(complement(successor(u)),identity_relation) -> .
% 299.72/300.40  226631[11:SpL:145868.1,226485.0] || subclass(symmetrization_of(u),power_class(identity_relation))* equal(complement(symmetrization_of(u)),identity_relation) -> .
% 299.72/300.40  227176[0:SpR:120682.0,227090.0] ||  -> subclass(complement(segment(universal_class,u,v)),complement(cantor(cross_product(u,singleton(v)))))*.
% 299.72/300.40  227330[5:Res:227239.0,5229.1] inductive(complement(sum_class(u))) ||  -> member(identity_relation,complement(intersection(sum_class(u),universal_class)))*.
% 299.72/300.40  227363[5:Res:227240.0,5229.1] inductive(complement(inverse(u))) ||  -> member(identity_relation,complement(intersection(inverse(u),universal_class)))*.
% 299.72/300.40  227407[9:Res:227368.0,3924.0] || subclass(complement(intersection(inverse(identity_relation),universal_class)),u)* well_ordering(universal_class,u) -> .
% 299.72/300.40  227560[7:MRR:227544.2,5188.0] inductive(symmetric_difference(singleton(identity_relation),singleton(identity_relation))) || well_ordering(u,singleton(identity_relation))* -> .
% 299.72/300.40  228717[5:Res:762.1,8086.1] || subclass(universal_class,u) subclass(universal_class,regular(u))* -> equal(u,identity_relation).
% 299.72/300.40  228890[5:SpL:5338.1,228791.0] || subclass(universal_class,regular(cross_product(u,v)))* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  228904[5:SpL:5338.1,228895.0] || equal(regular(cross_product(u,v)),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  228996[5:SpR:27.0,228130.0] ||  -> equal(symmetric_difference(intersection(complement(u),complement(v)),complement(union(u,v))),identity_relation)**.
% 299.72/300.40  230336[0:Obv:230325.2] || subclass(u,v) subclass(u,complement(v))* -> subclass(u,w)*.
% 299.72/300.40  230351[0:MRR:230310.0,29531.1] || subclass(u,complement(unordered_pair(not_subclass_element(u,v),w)))* -> subclass(u,v).
% 299.72/300.40  230352[0:MRR:230311.0,29531.1] || subclass(u,complement(unordered_pair(v,not_subclass_element(u,w))))* -> subclass(u,w).
% 299.72/300.40  230532[0:Obv:230486.1] || member(u,cantor(v)) -> subclass(intersection(w,singleton(u)),domain_of(v))*.
% 299.72/300.40  230668[0:Obv:230616.1] || member(u,cantor(v)) -> subclass(intersection(singleton(u),w),domain_of(v))*.
% 299.72/300.40  231702[15:SpR:191858.0,227656.0] ||  -> equal(intersection(successor(sum_class(range_of(identity_relation))),symmetric_difference(universal_class,sum_class(range_of(identity_relation)))),identity_relation)**.
% 299.72/300.40  232055[15:SpR:191858.0,227723.0] ||  -> equal(union(successor(sum_class(range_of(identity_relation))),symmetric_difference(universal_class,sum_class(range_of(identity_relation)))),universal_class)**.
% 299.72/300.40  232122[15:SpR:191858.0,227846.0] ||  -> equal(symmetric_difference(successor(sum_class(range_of(identity_relation))),symmetric_difference(universal_class,sum_class(range_of(identity_relation)))),universal_class)**.
% 299.72/300.40  232240[15:SpR:191858.0,228176.0] ||  -> equal(union(symmetric_difference(universal_class,sum_class(range_of(identity_relation))),successor(sum_class(range_of(identity_relation)))),universal_class)**.
% 299.72/300.40  232417[15:SpR:191858.0,228402.0] ||  -> equal(intersection(symmetric_difference(universal_class,sum_class(range_of(identity_relation))),successor(sum_class(range_of(identity_relation)))),identity_relation)**.
% 299.72/300.40  232645[15:SpR:191858.0,228569.0] ||  -> equal(symmetric_difference(symmetric_difference(universal_class,sum_class(range_of(identity_relation))),successor(sum_class(range_of(identity_relation)))),universal_class)**.
% 299.72/300.40  232855[5:MRR:232849.1,202179.0] || subclass(universal_class,u) -> equal(regular(unordered_pair(u,singleton(v))),singleton(v))**.
% 299.72/300.40  233064[5:MRR:233062.1,202179.0] || equal(u,universal_class) -> equal(regular(unordered_pair(u,singleton(v))),singleton(v))**.
% 299.72/300.40  233217[5:MRR:233212.1,202217.0] || subclass(universal_class,u) -> equal(regular(unordered_pair(singleton(v),u)),singleton(v))**.
% 299.72/300.40  233311[5:MRR:233310.1,202217.0] || equal(u,universal_class) -> equal(regular(unordered_pair(singleton(v),u)),singleton(v))**.
% 299.72/300.40  233339[5:Res:230404.0,5229.1] inductive(u) ||  -> equal(singleton(u),identity_relation) member(identity_relation,complement(singleton(u)))*.
% 299.72/300.40  233367[20:Res:230404.0,214823.0] || well_ordering(universal_class,complement(singleton(inverse(identity_relation))))* -> equal(singleton(inverse(identity_relation)),identity_relation).
% 299.72/300.40  233371[20:Res:230404.0,214825.0] || well_ordering(universal_class,complement(singleton(symmetrization_of(identity_relation))))* -> equal(singleton(symmetrization_of(identity_relation)),identity_relation).
% 299.72/300.40  233546[5:SpL:233410.0,5244.1] || member(universal_class,domain_of(u)) equal(restrict(u,identity_relation,universal_class),identity_relation)** -> .
% 299.72/300.40  233600[15:Rew:233494.0,193833.0] ||  -> equal(recursion(identity_relation,apply(add_relation,universal_class),identity_relation),ordinal_multiply(sum_class(range_of(identity_relation)),u))*.
% 299.72/300.40  233617[12:Rew:233494.0,192449.1] || member(u,universal_class) -> equal(apply(v,range_of(u)),apply(v,universal_class))**.
% 299.72/300.40  233620[17:Rew:233494.0,197244.1] ||  -> equal(range_of(u),identity_relation) equal(apply(v,inverse(u)),apply(v,universal_class))**.
% 299.72/300.40  233640[15:Rew:233634.0,192499.1] || member(u,universal_class) -> equal(ordered_pair(v,range_of(u)),ordered_pair(v,universal_class))**.
% 299.72/300.40  233650[17:Rew:233634.0,197300.1] ||  -> equal(range_of(u),identity_relation) equal(ordered_pair(v,inverse(u)),ordered_pair(v,universal_class))**.
% 299.72/300.40  233658[15:Rew:233634.0,193864.0] || member(ordered_pair(u,universal_class),rest_relation)* -> equal(rest_of(u),sum_class(range_of(identity_relation))).
% 299.72/300.40  233661[15:Rew:233634.0,193882.0] || member(ordered_pair(u,universal_class),successor_relation)* -> equal(successor(u),sum_class(range_of(identity_relation))).
% 299.72/300.40  233681[17:Rew:233676.0,210045.1] function(u) ||  -> equal(segment(v,w,universal_class),segment(v,w,u))*.
% 299.72/300.40  233716[17:Rew:233711.0,210052.1] function(u) ||  -> equal(range__dfg(v,universal_class,w),range__dfg(v,u,w))*.
% 299.72/300.40  233719[15:Rew:233711.0,191767.0] ||  -> equal(second(not_subclass_element(restrict(u,identity_relation,v),identity_relation)),range__dfg(u,universal_class,v))**.
% 299.72/300.40  233727[17:Rew:233722.0,210053.1] function(u) ||  -> equal(domain__dfg(v,w,universal_class),domain__dfg(v,w,u))*.
% 299.72/300.40  233730[15:Rew:233722.0,191774.0] ||  -> equal(first(not_subclass_element(restrict(u,v,identity_relation),identity_relation)),domain__dfg(u,v,universal_class))**.
% 299.72/300.40  233745[15:Rew:233744.1,192089.1] || member(singleton(singleton(identity_relation)),compose_class(u))* -> equal(compose(u,identity_relation),universal_class).
% 299.72/300.40  234406[15:Rew:192111.1,234405.1] || member(ordered_pair(u,singleton(singleton(identity_relation))),composition_function)* -> equal(range_of(identity_relation),universal_class).
% 299.72/300.40  234414[15:Rew:234407.1,234413.1,234406.1,234413.1] || member(ordered_pair(u,singleton(singleton(identity_relation))),composition_function)* -> equal(sum_class(universal_class),universal_class).
% 299.72/300.40  234738[15:Res:233423.0,3924.0] || subclass(complement(singleton(singleton(singleton(identity_relation)))),u)* well_ordering(universal_class,u) -> .
% 299.72/300.40  234741[15:Res:233423.0,2.0] || subclass(complement(singleton(singleton(singleton(identity_relation)))),u)* -> member(singleton(identity_relation),u).
% 299.72/300.40  234835[15:Res:5288.2,234744.0] || subclass(omega,singleton(singleton(singleton(identity_relation))))* -> equal(integer_of(singleton(identity_relation)),identity_relation).
% 299.72/300.40  234920[17:MRR:234861.1,5188.0] || member(u,universal_class) -> equal(apply(singleton(v),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.40  234921[17:MRR:234871.1,5188.0] || member(u,universal_class) -> equal(apply(power_class(identity_relation),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.40  234977[15:Res:233425.0,2.0] || subclass(complement(singleton(ordered_pair(range_of(identity_relation),u))),v)* -> member(identity_relation,v).
% 299.72/300.40  235117[17:SpR:233494.0,195305.1] || member(image(u,identity_relation),universal_class)* -> equal(domain_of(apply(u,universal_class)),identity_relation).
% 299.72/300.40  235123[17:SpR:233494.0,196075.1] || member(image(u,identity_relation),universal_class)* -> equal(cantor(apply(u,universal_class)),identity_relation).
% 299.72/300.40  235225[20:MRR:235224.2,212333.0] || well_ordering(u,universal_class) -> subclass(singleton(least(u,symmetrization_of(identity_relation))),symmetrization_of(identity_relation))*.
% 299.72/300.40  235328[15:SpL:233634.0,16.0] || member(ordered_pair(u,universal_class),cross_product(v,w))* -> member(range_of(identity_relation),w).
% 299.72/300.40  235381[15:Rew:235324.1,233659.1] || member(ordered_pair(u,universal_class),domain_relation)* -> equal(sum_class(range_of(identity_relation)),range_of(identity_relation)).
% 299.72/300.40  235493[12:SpR:192336.1,233421.0] || member(u,universal_class) -> member(identity_relation,complement(singleton(ordered_pair(range_of(u),v))))*.
% 299.72/300.40  235497[17:SpR:196425.0,233421.0] ||  -> equal(range_of(u),identity_relation) member(identity_relation,complement(singleton(ordered_pair(inverse(u),v))))*.
% 299.72/300.40  235500[5:Res:233421.0,3924.0] || subclass(complement(singleton(ordered_pair(u,v))),w)* well_ordering(universal_class,w) -> .
% 299.72/300.40  235503[5:Res:233421.0,2.0] || subclass(complement(singleton(ordered_pair(u,v))),w)* -> member(singleton(u),w).
% 299.72/300.40  235810[0:Res:20388.1,142.0] || subclass(rest_relation,flip(rest_of(u))) -> member(ordered_pair(v,w),domain_of(u))*.
% 299.72/300.40  235811[0:Res:20388.1,15.0] || subclass(rest_relation,flip(cross_product(u,v)))* -> member(ordered_pair(w,x),u)*.
% 299.72/300.40  235868[12:SpL:192336.1,235506.0] || member(u,universal_class) member(identity_relation,singleton(ordered_pair(range_of(u),v)))* -> .
% 299.72/300.40  235872[17:SpL:196425.0,235506.0] || member(identity_relation,singleton(ordered_pair(inverse(u),v)))* -> equal(range_of(u),identity_relation).
% 299.72/300.40  235882[5:Res:5288.2,235506.0] || subclass(omega,singleton(ordered_pair(u,v)))* -> equal(integer_of(singleton(u)),identity_relation).
% 299.72/300.40  236079[15:Res:235494.0,125680.1] || equal(complement(complement(singleton(ordered_pair(sum_class(range_of(identity_relation)),u)))),singleton(identity_relation))** -> .
% 299.72/300.40  236339[17:Res:195614.1,233419.0] || subclass(domain_relation,singleton(omega)) -> equal(integer_of(singleton(singleton(singleton(identity_relation)))),identity_relation)**.
% 299.72/300.40  236340[5:Res:122840.1,233419.0] || well_ordering(universal_class,complement(singleton(omega)))* -> equal(integer_of(singleton(singleton(u))),identity_relation)**.
% 299.72/300.40  236341[15:Res:192110.1,233419.0] || equal(singleton(singleton(identity_relation)),singleton(omega)) -> equal(integer_of(singleton(identity_relation)),identity_relation)**.
% 299.72/300.40  236350[20:Res:214397.1,233419.0] || subclass(symmetrization_of(identity_relation),singleton(omega))* -> equal(integer_of(regular(symmetrization_of(identity_relation))),identity_relation).
% 299.72/300.40  236351[20:Res:212352.1,233419.0] || subclass(inverse(identity_relation),singleton(omega))* -> equal(integer_of(regular(symmetrization_of(identity_relation))),identity_relation).
% 299.72/300.40  236545[5:SpR:233485.0,45887.0] ||  -> subclass(restrict(cantor(cross_product(u,identity_relation)),v,w),segment(universal_class,u,universal_class))*.
% 299.72/300.40  236555[17:SpR:233485.0,195326.1] ||  -> equal(singleton(cross_product(u,identity_relation)),identity_relation) equal(segment(universal_class,u,universal_class),identity_relation)**.
% 299.72/300.40  236556[17:SpR:233485.0,195325.1] ||  -> equal(integer_of(cross_product(u,identity_relation)),identity_relation) equal(segment(universal_class,u,universal_class),identity_relation)**.
% 299.72/300.40  236599[5:Res:233486.0,5229.1] inductive(cantor(cross_product(u,identity_relation))) ||  -> member(identity_relation,segment(universal_class,u,universal_class))*.
% 299.72/300.40  237167[5:Obv:237123.1] || equal(u,v) -> equal(unordered_pair(v,u),identity_relation)** member(v,universal_class).
% 299.72/300.40  237827[5:Res:86994.1,233982.0] || equal(cantor(inverse(u)),ordered_pair(universal_class,v))* -> member(identity_relation,range_of(u))*.
% 299.72/300.40  238324[5:SpR:941.0,237985.0] ||  -> equal(intersection(complement(union(u,v)),symmetric_difference(complement(u),complement(v))),identity_relation)**.
% 299.72/300.40  238505[5:SpR:233485.0,238306.0] ||  -> equal(intersection(complement(segment(universal_class,u,universal_class)),cantor(cross_product(u,identity_relation))),identity_relation)**.
% 299.72/300.40  239180[5:SpR:120676.0,238308.0] ||  -> equal(intersection(complement(image(universal_class,u)),cantor(inverse(cross_product(u,universal_class)))),identity_relation)**.
% 299.72/300.40  239236[5:MRR:239170.2,5188.0] || member(u,cantor(inverse(v)))* member(u,complement(range_of(v))) -> .
% 299.72/300.40  239286[5:SpR:126709.0,238317.0] ||  -> equal(intersection(complement(complement(cantor(inverse(u)))),symmetric_difference(range_of(u),universal_class)),identity_relation)**.
% 299.72/300.40  239397[5:MRR:239282.2,5188.0] || member(u,symmetric_difference(universal_class,v))* member(u,complement(complement(v))) -> .
% 299.72/300.40  239960[5:SpR:941.0,239572.0] ||  -> equal(intersection(symmetric_difference(complement(u),complement(v)),complement(union(u,v))),identity_relation)**.
% 299.72/300.40  240101[5:SpR:233485.0,239940.0] ||  -> equal(intersection(cantor(cross_product(u,identity_relation)),complement(segment(universal_class,u,universal_class))),identity_relation)**.
% 299.72/300.40  240612[5:MRR:240561.2,5188.0] || member(u,symmetric_difference(universal_class,inverse(identity_relation)))* member(u,symmetrization_of(identity_relation)) -> .
% 299.72/300.40  240763[5:SpR:120676.0,239942.0] ||  -> equal(intersection(cantor(inverse(cross_product(u,universal_class))),complement(image(universal_class,u))),identity_relation)**.
% 299.72/300.40  241086[5:SpR:126709.0,239951.0] ||  -> equal(intersection(symmetric_difference(range_of(u),universal_class),complement(complement(cantor(inverse(u))))),identity_relation)**.
% 299.72/300.40  241368[7:MRR:241344.1,125638.0] || subclass(singleton(identity_relation),symmetric_difference(u,v))* -> member(identity_relation,union(u,v)).
% 299.72/300.40  241553[5:MRR:241440.1,42101.0] || subclass(cross_product(universal_class,cross_product(universal_class,universal_class)),u)* -> member(regular(composition_function),u).
% 299.72/300.40  242134[5:MRR:242133.1,5184.0] || transitive(complement(cross_product(u,u)),u)* -> equal(compose(identity_relation,identity_relation),identity_relation).
% 299.72/300.40  242155[5:SpR:202351.1,242089.0] || equal(cross_product(u,universal_class),identity_relation) -> equal(image(universal_class,u),range_of(identity_relation))**.
% 299.72/300.40  242192[17:SpL:210378.1,242117.0] one_to_one(u) || member(inverse(u),domain_of(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.40  242205[5:Res:3780.1,242117.0] || equal(complement(complement(domain_of(complement(cross_product(singleton(singleton(u)),universal_class))))),universal_class)** -> .
% 299.72/300.40  242213[5:Res:223085.1,242117.0] || equal(complement(complement(domain_of(complement(cross_product(singleton(power_class(identity_relation)),universal_class))))),universal_class)** -> .
% 299.72/300.40  242231[17:Res:195614.1,242117.0] || subclass(domain_relation,domain_of(complement(cross_product(singleton(singleton(singleton(singleton(identity_relation)))),universal_class))))* -> .
% 299.72/300.40  242232[5:Res:122840.1,242117.0] || well_ordering(universal_class,complement(domain_of(complement(cross_product(singleton(singleton(singleton(u))),universal_class)))))* -> .
% 299.72/300.40  242233[15:Res:192110.1,242117.0] || equal(domain_of(complement(cross_product(singleton(singleton(identity_relation)),universal_class))),singleton(singleton(identity_relation)))** -> .
% 299.72/300.40  242238[11:Res:207964.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(regular(complement(power_class(identity_relation)))),universal_class))))* -> .
% 299.72/300.40  242239[10:Res:208146.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(regular(complement(power_class(universal_class)))),universal_class))))* -> .
% 299.72/300.40  242240[9:Res:207805.1,242117.0] || subclass(universal_class,domain_of(complement(cross_product(singleton(regular(complement(symmetrization_of(identity_relation)))),universal_class))))* -> .
% 299.72/300.40  242241[20:Res:214397.1,242117.0] || subclass(symmetrization_of(identity_relation),domain_of(complement(cross_product(singleton(regular(symmetrization_of(identity_relation))),universal_class))))* -> .
% 299.72/300.40  242242[20:Res:212352.1,242117.0] || subclass(inverse(identity_relation),domain_of(complement(cross_product(singleton(regular(symmetrization_of(identity_relation))),universal_class))))* -> .
% 299.72/300.40  242355[15:SpL:202351.1,242188.0] || equal(cross_product(identity_relation,universal_class),identity_relation) member(range_of(identity_relation),domain_of(universal_class))* -> .
% 299.72/300.40  242485[5:SpL:202351.1,242210.0] || equal(cross_product(singleton(omega),universal_class),identity_relation)** equal(domain_of(universal_class),universal_class) -> .
% 299.72/300.40  242501[5:SpL:202351.1,242211.0] || equal(cross_product(singleton(omega),universal_class),identity_relation)** subclass(universal_class,domain_of(universal_class)) -> .
% 299.72/300.40  242599[14:SpL:202351.1,242247.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(domain_of(universal_class),omega) -> .
% 299.72/300.40  242609[14:SpL:202351.1,242248.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** subclass(omega,domain_of(universal_class)) -> .
% 299.72/300.40  242654[5:SpL:202351.1,242250.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(domain_of(universal_class),universal_class) -> .
% 299.72/300.40  242667[5:SpL:202351.1,242251.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** subclass(universal_class,domain_of(universal_class)) -> .
% 299.72/300.40  242682[14:SpL:202351.1,242254.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(cantor(universal_class),omega) -> .
% 299.72/300.40  242687[14:SpL:202351.1,242255.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** subclass(omega,cantor(universal_class)) -> .
% 299.72/300.40  242726[15:SpL:202351.1,242366.0] || equal(cross_product(identity_relation,universal_class),identity_relation) member(range_of(identity_relation),cantor(universal_class))* -> .
% 299.72/300.40  242733[5:SpL:202351.1,242494.0] || equal(cross_product(singleton(omega),universal_class),identity_relation)** equal(rest_of(universal_class),rest_relation) -> .
% 299.72/300.40  242736[5:SpL:202351.1,242495.0] || equal(cross_product(singleton(omega),universal_class),identity_relation)** equal(cantor(universal_class),universal_class) -> .
% 299.72/300.40  242745[5:SpL:202351.1,242513.0] || equal(cross_product(singleton(omega),universal_class),identity_relation)** subclass(universal_class,cantor(universal_class)) -> .
% 299.72/300.40  242754[14:SpL:202351.1,242623.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(rest_of(universal_class),rest_relation) -> .
% 299.72/300.40  242757[14:SpL:202351.1,242624.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(cantor(universal_class),universal_class) -> .
% 299.72/300.40  243528[21:Rew:22454.0,243527.1] || member(u,inverse(identity_relation))* subclass(universal_class,v) -> member(u,v)*.
% 299.72/300.40  243735[21:MRR:243268.2,5188.0] inductive(subset_relation) || well_ordering(u,complement(compose(complement(element_relation),inverse(element_relation))))* -> .
% 299.72/300.40  244059[5:SpL:202351.1,242679.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** subclass(universal_class,cantor(universal_class)) -> .
% 299.72/300.40  244074[17:SpL:210378.1,242218.0] one_to_one(u) || member(inverse(u),cantor(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.40  244077[5:SpL:202351.1,242218.0] || equal(cross_product(singleton(u),universal_class),identity_relation)** member(u,cantor(universal_class)) -> .
% 299.72/300.40  244082[5:Res:3780.1,242218.0] || equal(complement(complement(cantor(complement(cross_product(singleton(singleton(u)),universal_class))))),universal_class)** -> .
% 299.72/300.40  244090[5:Res:223085.1,242218.0] || equal(complement(complement(cantor(complement(cross_product(singleton(power_class(identity_relation)),universal_class))))),universal_class)** -> .
% 299.72/300.40  244105[17:Res:195614.1,242218.0] || subclass(domain_relation,cantor(complement(cross_product(singleton(singleton(singleton(singleton(identity_relation)))),universal_class))))* -> .
% 299.72/300.40  244106[5:Res:122840.1,242218.0] || well_ordering(universal_class,complement(cantor(complement(cross_product(singleton(singleton(singleton(u))),universal_class)))))* -> .
% 299.72/300.40  244107[15:Res:192110.1,242218.0] || equal(cantor(complement(cross_product(singleton(singleton(identity_relation)),universal_class))),singleton(singleton(identity_relation)))** -> .
% 299.72/300.40  244112[11:Res:207964.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(regular(complement(power_class(identity_relation)))),universal_class))))* -> .
% 299.72/300.40  244113[10:Res:208146.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(regular(complement(power_class(universal_class)))),universal_class))))* -> .
% 299.72/300.40  244114[9:Res:207805.1,242218.0] || subclass(universal_class,cantor(complement(cross_product(singleton(regular(complement(symmetrization_of(identity_relation)))),universal_class))))* -> .
% 299.72/300.40  244115[20:Res:214397.1,242218.0] || subclass(symmetrization_of(identity_relation),cantor(complement(cross_product(singleton(regular(symmetrization_of(identity_relation))),universal_class))))* -> .
% 299.72/300.40  244116[20:Res:212352.1,242218.0] || subclass(inverse(identity_relation),cantor(complement(cross_product(singleton(regular(symmetrization_of(identity_relation))),universal_class))))* -> .
% 299.72/300.40  244186[5:SpR:118447.0,237599.0] ||  -> equal(intersection(union(u,identity_relation),restrict(symmetric_difference(universal_class,u),v,w)),identity_relation)**.
% 299.72/300.40  244251[5:MRR:244166.2,5188.0] || member(u,restrict(v,w,x))* member(u,complement(v)) -> .
% 299.72/300.40  244290[5:SpR:239026.0,145868.1] || subclass(complement(u),restrict(u,v,w))* -> equal(complement(u),identity_relation).
% 299.72/300.40  244312[5:SpR:118447.0,239026.0] ||  -> equal(intersection(restrict(symmetric_difference(universal_class,u),v,w),union(u,identity_relation)),identity_relation)**.
% 299.72/300.40  244840[5:Res:5.0,183413.0] || well_ordering(omega,universal_class) -> equal(integer_of(ordered_pair(omega,least(omega,universal_class))),identity_relation)**.
% 299.72/300.40  245809[17:MRR:245805.3,245805.4,47782.0,5188.0] || member(u,universal_class)* subclass(domain_relation,omega) subclass(omega,element_relation) -> .
% 299.72/300.40  247191[5:SpR:21037.0,237985.0] ||  -> equal(intersection(complement(successor(u)),symmetric_difference(complement(u),complement(singleton(u)))),identity_relation)**.
% 299.72/300.40  247195[5:SpR:21037.0,239572.0] ||  -> equal(intersection(symmetric_difference(complement(u),complement(singleton(u))),complement(successor(u))),identity_relation)**.
% 299.72/300.40  247514[7:SpR:145868.1,238347.0] || subclass(u,complement(singleton(identity_relation)))* -> equal(intersection(singleton(identity_relation),u),identity_relation).
% 299.72/300.40  247646[5:SpR:145868.1,238348.0] || subclass(u,complement(inverse(identity_relation)))* -> equal(intersection(symmetrization_of(identity_relation),u),identity_relation).
% 299.72/300.40  248493[5:SpR:21036.0,237985.0] ||  -> equal(intersection(complement(symmetrization_of(u)),symmetric_difference(complement(u),complement(inverse(u)))),identity_relation)**.
% 299.72/300.40  248497[5:SpR:21036.0,239572.0] ||  -> equal(intersection(symmetric_difference(complement(u),complement(inverse(u))),complement(symmetrization_of(u))),identity_relation)**.
% 299.72/300.40  248624[7:SpL:580.0,248268.0] || equal(complement(complement(intersection(union(u,v),complement(singleton(identity_relation))))),universal_class)** -> .
% 299.72/300.40  248638[14:SpL:580.0,248270.0] || equal(complement(complement(intersection(union(u,v),complement(singleton(identity_relation))))),omega)** -> .
% 299.72/300.40  248875[5:Res:53.0,120713.0] ||  -> member(omega,image(universal_class,singleton(omega)))* asymmetric(cross_product(singleton(omega),universal_class),u)*.
% 299.72/300.40  248881[5:Res:5265.0,120713.0] ||  -> member(identity_relation,image(universal_class,singleton(identity_relation)))* asymmetric(cross_product(singleton(identity_relation),universal_class),u)*.
% 299.72/300.40  249280[0:Rew:249197.0,162517.0] ||  -> member(not_subclass_element(u,power_class(v)),complement(power_class(v)))* subclass(u,power_class(v)).
% 299.72/300.40  249537[7:Rew:249197.0,189701.1] || subclass(singleton(identity_relation),power_class(u)) member(identity_relation,complement(power_class(u)))* -> .
% 299.72/300.40  249598[7:Rew:249197.0,167395.1] ||  -> member(identity_relation,image(element_relation,power_class(u)))* member(identity_relation,power_class(complement(power_class(u)))).
% 299.72/300.40  249878[5:Rew:249197.0,217353.1] || equal(complement(power_class(u)),identity_relation) subclass(domain_relation,complement(power_class(u)))* -> .
% 299.72/300.40  249909[20:Rew:249197.0,224639.0] || subclass(universal_class,complement(power_class(u))) subclass(symmetrization_of(identity_relation),power_class(u))* -> .
% 299.72/300.40  249983[5:Rew:249197.0,245194.1] || equal(complement(power_class(u)),universal_class) -> equal(symmetrization_of(complement(power_class(u))),universal_class)**.
% 299.72/300.40  250294[5:Rew:250258.0,229521.1] || equal(identity_relation,u) -> equal(union(power_class(u),complement(power_class(identity_relation))),universal_class)**.
% 299.72/300.40  250460[11:Rew:250258.0,226822.0] || subclass(union(u,complement(power_class(identity_relation))),intersection(complement(u),power_class(identity_relation)))* -> .
% 299.72/300.40  250545[5:Rew:250502.0,230036.1] || equal(identity_relation,u) -> equal(union(complement(power_class(identity_relation)),power_class(u)),universal_class)**.
% 299.72/300.40  250710[11:Rew:250502.0,226190.0] || subclass(union(complement(power_class(identity_relation)),u),intersection(power_class(identity_relation),complement(u)))* -> .
% 299.72/300.40  250757[5:Rew:249197.0,249546.0] ||  -> subclass(regular(complement(power_class(u))),power_class(u))* equal(complement(power_class(u)),identity_relation).
% 299.72/300.40  251245[0:SpR:249204.0,47693.0] ||  -> subclass(complement(union(complement(power_class(u)),v)),intersection(power_class(u),complement(v)))*.
% 299.72/300.40  251289[0:SpR:249204.0,47693.0] ||  -> subclass(complement(union(u,complement(power_class(v)))),intersection(complement(u),power_class(v)))*.
% 299.72/300.40  251474[11:SpL:203228.1,250288.0] || equal(identity_relation,u) equal(union(v,complement(power_class(u))),identity_relation)** -> .
% 299.72/300.40  251489[11:SpL:203228.1,250540.0] || equal(identity_relation,u) equal(union(complement(power_class(u)),v),identity_relation)** -> .
% 299.72/300.40  251809[10:Rew:251767.0,208125.0] || subclass(complement(power_class(universal_class)),u) -> member(regular(complement(power_class(universal_class))),u)*.
% 299.72/300.40  251848[10:Rew:251767.0,221769.0] || subclass(complement(power_class(universal_class)),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.40  251873[10:Rew:251767.0,176883.0] || equal(cantor(inverse(u)),complement(power_class(universal_class))) -> member(identity_relation,range_of(u))*.
% 299.72/300.40  251894[5:Rew:251767.0,248014.0] || subclass(u,complement(power_class(universal_class)))* -> equal(intersection(power_class(universal_class),u),identity_relation).
% 299.72/300.40  251991[11:Rew:251768.0,207941.0] || subclass(complement(power_class(identity_relation)),u) -> member(regular(complement(power_class(identity_relation))),u)*.
% 299.72/300.40  252031[11:Rew:251768.0,221698.0] || subclass(complement(power_class(identity_relation)),cantor(u))* well_ordering(universal_class,domain_of(u)) -> .
% 299.72/300.40  252066[11:Rew:251768.0,176545.0] || equal(cantor(inverse(u)),complement(power_class(identity_relation))) -> member(identity_relation,range_of(u))*.
% 299.72/300.40  252086[5:Rew:251768.0,247777.0] || subclass(u,complement(power_class(identity_relation)))* -> equal(intersection(power_class(identity_relation),u),identity_relation).
% 299.72/300.40  252135[11:Rew:251768.0,205065.1] || equal(identity_relation,u) member(regular(complement(power_class(identity_relation))),power_class(u))* -> .
% 299.72/300.40  252156[11:Rew:251768.0,207936.1] || equal(identity_relation,u) -> member(regular(complement(power_class(u))),complement(power_class(identity_relation)))*.
% 299.72/300.40  252182[5:Rew:251768.0,229368.1] || equal(identity_relation,u) -> equal(intersection(power_class(u),complement(power_class(identity_relation))),identity_relation)**.
% 299.72/300.40  252183[5:Rew:251768.0,229614.1] || equal(identity_relation,u) -> equal(symmetric_difference(power_class(u),complement(power_class(identity_relation))),universal_class)**.
% 299.72/300.40  252184[5:Rew:251768.0,229884.1] || equal(identity_relation,u) -> equal(intersection(complement(power_class(identity_relation)),power_class(u)),identity_relation)**.
% 299.72/300.40  252185[5:Rew:251768.0,230198.1] || equal(identity_relation,u) -> equal(symmetric_difference(complement(power_class(identity_relation)),power_class(u)),universal_class)**.
% 299.72/300.40  252833[5:SpL:249200.0,231267.0] || equal(intersection(complement(u),power_class(v)),union(u,complement(power_class(v))))** -> .
% 299.72/300.40  252845[5:SpL:249200.0,203649.0] || equal(union(u,complement(power_class(v))),identity_relation)** -> member(identity_relation,power_class(v)).
% 299.72/300.40  253166[5:SpL:249208.0,231267.0] || equal(intersection(power_class(u),complement(v)),union(complement(power_class(u)),v))** -> .
% 299.72/300.40  253179[5:SpL:249208.0,203648.0] || equal(union(complement(power_class(u)),v),identity_relation)** -> member(identity_relation,power_class(u)).
% 299.72/300.40  253277[5:MRR:253272.1,5265.0] function(element_relation) || subclass(universal_class,u) -> member(complement(power_class(universal_class)),u)*.
% 299.72/300.40  253509[11:SpR:203228.1,251973.0] || equal(identity_relation,u) -> member(regular(complement(power_class(u))),complement(power_class(u)))*.
% 299.72/300.40  253541[17:SpR:253274.0,195305.1] || member(complement(power_class(universal_class)),universal_class)* -> equal(domain_of(apply(element_relation,universal_class)),identity_relation).
% 299.72/300.40  253547[17:SpR:253274.0,196075.1] || member(complement(power_class(universal_class)),universal_class)* -> equal(cantor(apply(element_relation,universal_class)),identity_relation).
% 299.72/300.40  253773[5:SpR:251228.0,145868.1] || subclass(power_class(u),symmetric_difference(universal_class,power_class(u)))* -> equal(power_class(u),identity_relation).
% 299.72/300.40  254617[7:SpR:145868.1,239899.0] || subclass(u,complement(singleton(identity_relation)))* -> equal(intersection(u,singleton(identity_relation)),identity_relation).
% 299.72/300.40  255308[0:Res:53.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(omega),v)*.
% 299.72/300.40  255446[7:SpL:581.0,254839.0] || equal(complement(complement(intersection(complement(singleton(identity_relation)),union(u,v)))),universal_class)** -> .
% 299.72/300.40  255461[14:SpL:581.0,254841.0] || equal(complement(complement(intersection(complement(singleton(identity_relation)),union(u,v)))),omega)** -> .
% 299.72/300.40  255629[7:Res:86994.1,254848.0] || equal(cantor(inverse(u)),successor(singleton(identity_relation))) -> member(identity_relation,range_of(u))*.
% 299.72/300.40  255778[7:Res:86994.1,254863.0] || equal(cantor(inverse(u)),symmetrization_of(singleton(identity_relation))) -> member(identity_relation,range_of(u))*.
% 299.72/300.40  255902[5:SpR:145868.1,239900.0] || subclass(u,complement(inverse(identity_relation)))* -> equal(intersection(u,symmetrization_of(identity_relation)),identity_relation).
% 299.72/300.40  255998[5:Obv:255982.1] ||  -> equal(integer_of(u),identity_relation) subclass(unordered_pair(v,u),omega)* member(v,universal_class).
% 299.72/300.40  256283[5:Obv:256266.1] ||  -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega)* member(v,universal_class).
% 299.72/300.40  256370[5:Res:29487.1,256316.0] || member(compose(element_relation,universal_class),element_relation)* -> equal(singleton(compose(element_relation,universal_class)),identity_relation).
% 299.72/300.40  256438[5:MRR:256362.0,16080.1] ||  -> member(union(u,v),complement(v))* equal(singleton(union(u,v)),identity_relation).
% 299.72/300.40  256439[5:MRR:256363.0,16080.1] ||  -> member(union(u,v),complement(u))* equal(singleton(union(u,v)),identity_relation).
% 299.72/300.40  256442[5:MRR:256393.2,205376.0] || subclass(omega,symmetric_difference(u,v))* -> equal(integer_of(union(u,v)),identity_relation).
% 299.72/300.40  256445[5:MRR:256400.2,203296.0] || subclass(u,regular(intersection(u,v)))* -> equal(intersection(u,v),identity_relation).
% 299.72/300.40  256446[5:MRR:256401.2,203296.0] || subclass(u,regular(intersection(v,u)))* -> equal(intersection(v,u),identity_relation).
% 299.72/300.40  256447[5:MRR:256375.1,202145.0] || subclass(rest_relation,flip(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u)))))* -> .
% 299.72/300.40  256448[5:MRR:256374.1,202145.0] || subclass(rest_relation,rotate(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v)))* -> .
% 299.72/300.40  256526[0:Res:53.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(omega),v)*.
% 299.72/300.40  257144[11:SpL:203228.1,256759.0] || equal(identity_relation,u) equal(complement(regular(complement(power_class(u)))),identity_relation)** -> .
% 299.72/300.40  257274[15:MRR:257273.0,29469.1] || member(u,complement(range_of(identity_relation)))* member(u,successor(range_of(identity_relation))) -> .
% 299.72/300.40  257670[5:SpL:233494.0,256426.1] || member(image(u,identity_relation),universal_class)* subclass(universal_class,apply(u,universal_class)) -> .
% 299.72/300.40  257671[5:SpL:253274.0,256426.1] || member(complement(power_class(universal_class)),universal_class)* subclass(universal_class,apply(element_relation,universal_class)) -> .
% 299.72/300.40  257914[11:Res:207952.1,257663.1] || equal(identity_relation,u) equal(power_class(regular(complement(power_class(u)))),universal_class)** -> .
% 299.72/300.40  258400[17:MRR:258336.2,5.0] function(least(u,v)) || well_ordering(u,universal_class)* -> equal(v,identity_relation)*.
% 299.72/300.40  258479[11:Res:207952.1,257674.1] || equal(identity_relation,u) equal(sum_class(regular(complement(power_class(u)))),universal_class)** -> .
% 299.72/300.40  258855[5:SpR:257883.1,865.0] || equal(power_class(apply(choice,omega)),universal_class)** -> equal(apply(choice,omega),identity_relation).
% 299.72/300.40  258960[5:SpR:258448.1,865.0] || equal(sum_class(apply(choice,omega)),universal_class)** -> equal(apply(choice,omega),identity_relation).
% 299.72/300.40  258983[5:SpL:233494.0,258449.0] || equal(apply(u,universal_class),universal_class) -> equal(singleton(image(u,identity_relation)),identity_relation)**.
% 299.72/300.40  258984[5:SpL:253274.0,258449.0] || equal(apply(element_relation,universal_class),universal_class) -> equal(singleton(complement(power_class(universal_class))),identity_relation)**.
% 299.72/300.40  259042[5:Res:45819.1,256317.0] || subclass(singleton(domain_of(u)),cantor(u))* -> equal(singleton(domain_of(u)),identity_relation).
% 299.72/300.40  259111[5:Res:256424.0,25.1] || member(complement(complement(u)),u)* -> equal(singleton(complement(complement(u))),identity_relation).
% 299.72/300.40  259132[5:Res:256424.0,29473.0] ||  -> equal(singleton(complement(domain_of(u))),identity_relation) member(complement(domain_of(u)),cantor(u))*.
% 299.72/300.40  259144[5:Res:256424.0,222174.0] ||  -> equal(singleton(complement(symmetrization_of(identity_relation))),identity_relation) member(complement(symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.40  259161[5:Rew:118447.0,259126.1,118447.0,259126.0] || member(union(u,identity_relation),u)* -> equal(singleton(union(u,identity_relation)),identity_relation).
% 299.72/300.40  259390[5:Rew:22458.0,259271.0] || member(u,universal_class) -> member(u,v) member(u,symmetric_difference(universal_class,v))*.
% 299.72/300.40  259668[0:Obv:259641.1] || member(u,v) -> subclass(unordered_pair(w,u),v)* member(w,universal_class).
% 299.72/300.40  259778[0:Obv:259750.1] || member(u,v) -> subclass(unordered_pair(u,w),v)* member(w,universal_class).
% 299.72/300.40  260470[0:SpR:29.0,260367.1] || subclass(cross_product(u,v),w) -> subclass(restrict(x,u,v),w)*.
% 299.72/300.40  260545[5:Res:260367.1,5229.1] inductive(intersection(u,v)) || subclass(v,w)* -> member(identity_relation,w)*.
% 299.72/300.40  260548[0:Res:260367.1,79033.0] || subclass(u,cantor(inverse(v))) -> subclass(intersection(w,u),range_of(v))*.
% 299.72/300.40  260564[5:Res:260367.1,113722.0] || subclass(u,complement(intersection(v,u)))* -> equal(intersection(v,u),identity_relation).
% 299.72/300.40  260665[5:Res:260484.1,113727.0] || subclass(universal_class,complement(singleton(regular(cantor(u)))))* -> equal(cantor(u),identity_relation).
% 299.72/300.40  260693[5:SpR:122857.0,260493.1] || subclass(universal_class,u) -> subclass(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),u)*.
% 299.72/300.40  260714[5:Res:260493.1,79033.0] || subclass(universal_class,cantor(inverse(u))) -> subclass(symmetric_difference(universal_class,v),range_of(u))*.
% 299.72/300.40  260724[5:Res:260493.1,256182.0] || subclass(universal_class,regular(symmetric_difference(universal_class,u)))* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.40  262113[0:SpR:27.0,261657.0] ||  -> subclass(intersection(u,complement(union(v,w))),intersection(complement(v),complement(w)))*.
% 299.72/300.40  263223[7:SpR:189471.0,262795.0] ||  -> subclass(complement(union(u,image(element_relation,singleton(identity_relation)))),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.40  263225[5:SpR:122494.0,262795.0] ||  -> subclass(complement(union(u,image(element_relation,symmetrization_of(identity_relation)))),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.40  263226[0:SpR:249206.0,262795.0] ||  -> subclass(complement(union(u,image(element_relation,power_class(v)))),power_class(complement(power_class(v))))*.
% 299.72/300.40  263228[7:SpR:251758.0,262795.0] ||  -> subclass(complement(union(u,power_class(complement(singleton(identity_relation))))),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.40  263229[5:SpR:251759.0,262795.0] ||  -> subclass(complement(union(u,power_class(complement(inverse(identity_relation))))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.40  263700[0:SpR:27.0,263405.0] ||  -> subclass(intersection(complement(union(u,v)),w),intersection(complement(u),complement(v)))*.
% 299.72/300.40  263848[5:Res:263738.0,729.1] inductive(symmetric_difference(universal_class,complement(omega))) ||  -> equal(symmetric_difference(universal_class,complement(omega)),omega)**.
% 299.72/300.40  263900[0:SpR:27.0,263745.0] ||  -> subclass(complement(complement(complement(union(u,v)))),intersection(complement(u),complement(v)))*.
% 299.72/300.40  264283[7:SpR:189471.0,264089.0] ||  -> subclass(complement(union(image(element_relation,singleton(identity_relation)),u)),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.40  264285[5:SpR:122494.0,264089.0] ||  -> subclass(complement(union(image(element_relation,symmetrization_of(identity_relation)),u)),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.40  264286[0:SpR:249206.0,264089.0] ||  -> subclass(complement(union(image(element_relation,power_class(u)),v)),power_class(complement(power_class(u))))*.
% 299.72/300.40  264288[7:SpR:251758.0,264089.0] ||  -> subclass(complement(union(power_class(complement(singleton(identity_relation))),u)),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.40  264289[5:SpR:251759.0,264089.0] ||  -> subclass(complement(union(power_class(complement(inverse(identity_relation))),u)),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.40  264931[5:Res:263560.1,8.0] || equal(complement(u),identity_relation) subclass(u,v)* -> equal(u,v).
% 299.72/300.40  265222[5:Res:263560.1,718.0] || equal(complement(compose_class(u)),identity_relation)** -> equal(cross_product(universal_class,universal_class),compose_class(u))*.
% 299.72/300.40  265425[20:MRR:263680.1,265205.0] || subclass(inverse(identity_relation),u) -> member(regular(complement(complement(symmetrization_of(identity_relation)))),u)*.
% 299.72/300.40  265471[5:Con:265235.2] || equal(complement(u),identity_relation) member(v,w)* -> member(v,u)*.
% 299.72/300.40  265653[20:Res:265633.0,195222.0] || subclass(domain_relation,rest_relation) -> equal(rest_of(regular(complement(complement(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.72/300.40  265654[20:Res:265633.0,195221.0] || subclass(rest_relation,domain_relation) -> equal(rest_of(regular(complement(complement(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.72/300.40  266349[0:SpR:941.0,261700.0] ||  -> subclass(restrict(symmetric_difference(complement(u),complement(v)),w,x),union(u,v))*.
% 299.72/300.40  266379[0:SpR:21037.0,261700.0] ||  -> subclass(restrict(symmetric_difference(complement(u),complement(singleton(u))),v,w),successor(u))*.
% 299.72/300.40  266380[0:SpR:21036.0,261700.0] ||  -> subclass(restrict(symmetric_difference(complement(u),complement(inverse(u))),v,w),symmetrization_of(u))*.
% 299.72/300.40  267544[5:Res:8736.1,263650.0] || equal(sum_class(symmetrization_of(identity_relation)),identity_relation) -> subclass(sum_class(symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.40  267586[22:Res:153612.1,267516.0] || equal(complement(compose(identity_relation,identity_relation)),universal_class)** -> equal(cross_product(u,u),identity_relation)**.
% 299.72/300.40  268290[15:SpR:191858.0,263822.0] ||  -> subclass(symmetric_difference(universal_class,successor(sum_class(range_of(identity_relation)))),symmetric_difference(universal_class,sum_class(range_of(identity_relation))))*.
% 299.72/300.40  268298[5:Res:263822.0,5229.1] inductive(symmetric_difference(universal_class,union(u,identity_relation))) ||  -> member(identity_relation,symmetric_difference(universal_class,u))*.
% 299.72/300.40  268331[5:SpR:120676.0,263849.0] ||  -> subclass(symmetric_difference(universal_class,complement(cantor(inverse(cross_product(u,universal_class))))),image(universal_class,u))*.
% 299.72/300.40  268345[5:Res:263849.0,5229.1] inductive(symmetric_difference(universal_class,complement(cantor(inverse(u))))) ||  -> member(identity_relation,range_of(u))*.
% 299.72/300.40  268352[5:Rew:22714.0,268329.0] ||  -> subclass(symmetric_difference(universal_class,complement(intersection(image(u,v),universal_class))),image(u,v))*.
% 299.72/300.40  268379[5:SpL:118447.0,264001.0] || equal(complement(union(u,identity_relation)),universal_class) -> subclass(universal_class,symmetric_difference(universal_class,u))*.
% 299.72/300.40  268414[15:SpR:191858.0,264364.0] ||  -> subclass(complement(successor(symmetric_difference(universal_class,sum_class(range_of(identity_relation))))),successor(sum_class(range_of(identity_relation))))*.
% 299.72/300.40  268429[5:SpR:202351.1,264364.0] || equal(successor(symmetric_difference(universal_class,u)),identity_relation) -> subclass(universal_class,union(u,identity_relation))*.
% 299.72/300.40  268436[5:Res:264364.0,5229.1] inductive(complement(successor(symmetric_difference(universal_class,u)))) ||  -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  268563[5:Rew:268508.1,247185.1] || equal(successor(u),identity_relation) -> equal(symmetric_difference(universal_class,complement(singleton(u))),identity_relation)**.
% 299.72/300.40  268848[5:SpL:203228.1,268536.0] || equal(identity_relation,u) equal(successor(unordered_pair(v,power_class(u))),identity_relation)** -> .
% 299.72/300.40  268965[5:SpL:203228.1,268541.0] || equal(identity_relation,u) equal(successor(unordered_pair(power_class(u),v)),identity_relation)** -> .
% 299.72/300.40  269303[15:SpR:191858.0,264418.0] ||  -> subclass(complement(symmetrization_of(symmetric_difference(universal_class,sum_class(range_of(identity_relation))))),successor(sum_class(range_of(identity_relation))))*.
% 299.72/300.40  269320[5:SpR:202351.1,264418.0] || equal(symmetrization_of(symmetric_difference(universal_class,u)),identity_relation) -> subclass(universal_class,union(u,identity_relation))*.
% 299.72/300.40  269327[5:Res:264418.0,5229.1] inductive(complement(symmetrization_of(symmetric_difference(universal_class,u)))) ||  -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  269455[5:Rew:269400.1,248487.1] || equal(symmetrization_of(u),identity_relation) -> equal(symmetric_difference(universal_class,complement(inverse(u))),identity_relation)**.
% 299.72/300.40  269833[5:SpL:203228.1,269428.0] || equal(identity_relation,u) equal(symmetrization_of(unordered_pair(v,power_class(u))),identity_relation)** -> .
% 299.72/300.40  269839[5:SpL:203228.1,269433.0] || equal(identity_relation,u) equal(symmetrization_of(unordered_pair(power_class(u),v)),identity_relation)** -> .
% 299.72/300.40  270249[5:Rew:5304.0,270185.1,22454.0,270185.1] || subclass(complement(power_class(u)),identity_relation)* -> equal(symmetric_difference(power_class(u),universal_class),identity_relation).
% 299.72/300.40  270849[5:SpR:264958.1,865.0] || equal(complement(apply(choice,omega)),identity_relation)** -> equal(apply(choice,omega),identity_relation).
% 299.72/300.40  270883[5:SpL:118447.0,265197.0] || equal(complement(union(u,identity_relation)),identity_relation)** -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.40  1024[0:Res:779.1,2.0] || subclass(universal_class,u)* subclass(u,v)* -> member(ordered_pair(w,x),v)*.
% 299.72/300.40  4123[0:SpL:160.0,817.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(singleton(w),complement(intersection(u,v)))*.
% 299.72/300.40  8601[0:SpR:160.0,8337.0] ||  -> subclass(symmetric_difference(complement(intersection(u,v)),union(u,v)),complement(symmetric_difference(u,v)))*.
% 299.72/300.40  5173[0:Res:779.1,944.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(ordered_pair(w,x),union(u,v))*.
% 299.72/300.40  41163[0:Res:779.1,8898.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(ordered_pair(v,w),successor(u))*.
% 299.72/300.40  47893[0:Res:763.1,8165.1] || subclass(universal_class,intersection(u,v)) member(singleton(w),symmetric_difference(u,v))* -> .
% 299.72/300.40  4749[0:Res:4733.1,8.0] || member(u,v) subclass(v,singleton(u))* -> equal(v,singleton(u)).
% 299.72/300.40  115985[0:Res:5172.1,1002.1] || subclass(universal_class,symmetric_difference(u,v)) subclass(universal_class,complement(union(u,v)))* -> .
% 299.72/300.40  40259[0:Res:780.2,1025.1] || member(u,universal_class)* subclass(rest_relation,v) subclass(universal_class,complement(v))* -> .
% 299.72/300.40  4008[3:SpL:27.0,3957.1] inductive(intersection(complement(u),complement(v))) || equal(union(u,v),universal_class)** -> .
% 299.72/300.40  4194[0:SpL:160.0,4131.0] || equal(symmetric_difference(u,v),universal_class) -> member(singleton(w),complement(intersection(u,v)))*.
% 299.72/300.40  47713[0:Res:47673.0,2957.1] single_valued_class(complement(complement(cross_product(universal_class,universal_class)))) ||  -> function(complement(complement(cross_product(universal_class,universal_class))))*.
% 299.72/300.40  122632[5:Rew:122359.0,12314.1] inductive(intersection(successor(universal_class),complement(u))) || equal(complement(complement(u)),universal_class)** -> .
% 299.72/300.40  122634[5:Rew:122359.0,6713.1] inductive(intersection(diagonalise(u),complement(v))) || equal(complement(complement(v)),universal_class)** -> .
% 299.72/300.40  122792[5:Rew:122359.0,122791.1] || subclass(universal_class,complement(u)) member(ordered_pair(v,w),complement(complement(u)))* -> .
% 299.72/300.40  122806[5:Rew:118446.0,47876.0] || member(u,symmetric_difference(complement(v),universal_class))* member(u,symmetric_difference(universal_class,v)) -> .
% 299.72/300.40  123737[0:Res:119596.0,8.0] || subclass(complement(u),symmetric_difference(universal_class,u))* -> equal(symmetric_difference(universal_class,u),complement(u)).
% 299.72/300.40  124038[0:Res:761.1,8157.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v)))* -> member(omega,union(u,v)).
% 299.72/300.40  124826[5:SpR:27.0,119684.0] ||  -> equal(symmetric_difference(universal_class,intersection(complement(u),complement(v))),intersection(union(u,v),universal_class))**.
% 299.72/300.40  124998[0:Res:119650.1,8165.1] || equal(intersection(u,v),universal_class) member(singleton(w),symmetric_difference(u,v))* -> .
% 299.72/300.40  39976[0:Res:608.1,1002.1] || member(unordered_pair(u,v),cantor(w))* subclass(universal_class,complement(domain_of(w))) -> .
% 299.72/300.40  47741[0:Res:783.1,1054.0] || subclass(ordered_pair(u,v),singleton(w))* -> equal(unordered_pair(u,singleton(v)),w).
% 299.72/300.40  122790[5:Rew:122359.0,122789.1] || subclass(universal_class,complement(u)) member(unordered_pair(v,w),complement(complement(u)))* -> .
% 299.72/300.40  40966[0:SpL:932.0,1004.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(unordered_pair(v,w),successor(u))*.
% 299.72/300.40  40965[0:SpL:931.0,1004.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(unordered_pair(v,w),symmetrization_of(u))*.
% 299.72/300.40  117100[0:MRR:117060.0,12.0] || subclass(universal_class,complement(union(u,v)))* -> member(unordered_pair(w,x),complement(v))*.
% 299.72/300.40  116713[0:MRR:116681.0,12.0] || subclass(universal_class,complement(union(u,v)))* -> member(unordered_pair(w,x),complement(u))*.
% 299.72/300.40  116302[0:Res:7.1,1001.0] || equal(u,universal_class) subclass(u,v)* -> member(unordered_pair(w,x),v)*.
% 299.72/300.40  34674[0:Obv:34654.1] || member(not_subclass_element(u,intersection(v,universal_class)),v)* -> subclass(u,intersection(v,universal_class)).
% 299.72/300.40  117111[0:MRR:117067.0,29531.1] ||  -> member(not_subclass_element(u,union(v,w)),complement(w))* subclass(u,union(v,w)).
% 299.72/300.40  116724[0:MRR:116688.0,29531.1] ||  -> member(not_subclass_element(u,union(v,w)),complement(v))* subclass(u,union(v,w)).
% 299.72/300.40  122925[5:Rew:122359.0,122924.0] || member(not_subclass_element(complement(u),v),complement(complement(u)))* -> subclass(complement(u),v).
% 299.72/300.40  124874[5:Rew:119684.0,124815.0] ||  -> subclass(symmetric_difference(universal_class,u),v) member(not_subclass_element(symmetric_difference(universal_class,u),v),complement(u))*.
% 299.72/300.40  118022[0:Res:7.1,8428.0] || equal(singleton(u),v)* -> subclass(v,w) equal(not_subclass_element(v,w),u)*.
% 299.72/300.40  47988[0:Res:47679.0,773.1] || member(u,universal_class) -> member(u,complement(cantor(v)))* member(u,domain_of(v)).
% 299.72/300.40  51723[5:Res:20366.2,29473.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> member(u,cantor(v))*.
% 299.72/300.40  117040[0:SpR:114.0,27934.1] || member(u,universal_class) -> member(u,symmetrization_of(v)) member(u,complement(inverse(v)))*.
% 299.72/300.40  117041[0:SpR:44.0,27934.1] || member(u,universal_class) -> member(u,successor(v)) member(u,complement(singleton(v)))*.
% 299.72/300.40  114335[0:Res:7.1,20176.1] || equal(cross_product(u,v),domain_relation)** member(w,universal_class)* -> member(w,u)*.
% 299.72/300.40  114394[0:Res:7.1,20367.1] || equal(cross_product(u,v),rest_relation)** member(w,universal_class)* -> member(w,u)*.
% 299.72/300.40  8275[0:Res:8249.0,8.0] || subclass(u,restrict(u,v,w))* -> equal(restrict(u,v,w),u).
% 299.72/300.40  3794[0:Res:3780.1,596.0] || equal(complement(complement(restrict(u,v,w))),universal_class)** -> member(singleton(x),u)*.
% 299.72/300.40  4128[0:SpL:30.0,817.0] || subclass(universal_class,restrict(u,v,w))* -> member(singleton(x),cross_product(v,w))*.
% 299.72/300.40  4199[0:SpL:30.0,4131.0] || equal(restrict(u,v,w),universal_class)** -> member(singleton(x),cross_product(v,w))*.
% 299.72/300.40  22750[5:Rew:22446.0,6894.0] ||  -> equal(intersection(segment(u,v,w),universal_class),cantor(restrict(u,v,singleton(w))))**.
% 299.72/300.40  45851[0:SpR:123.0,45823.0] ||  -> subclass(intersection(cantor(restrict(u,v,singleton(w))),x),segment(u,v,w))*.
% 299.72/300.40  47942[0:SpR:123.0,47679.0] ||  -> subclass(complement(complement(cantor(restrict(u,v,singleton(w))))),segment(u,v,w))*.
% 299.72/300.40  45940[0:SpR:123.0,45825.0] ||  -> subclass(intersection(u,cantor(restrict(v,w,singleton(x)))),segment(v,w,x))*.
% 299.72/300.40  117530[5:Res:117277.0,816.1] || subclass(universal_class,complement(inverse(singleton(singleton(u)))))* -> asymmetric(singleton(singleton(u)),v)*.
% 299.72/300.40  117536[5:Res:117277.0,2.0] || subclass(inverse(singleton(u)),v)* -> asymmetric(singleton(u),w)* member(u,v).
% 299.72/300.40  29495[5:MRR:29447.0,29469.1] || member(u,domain_of(v))* subclass(cantor(v),w)* -> member(u,w)*.
% 299.72/300.40  40227[0:Res:608.1,1025.1] || member(ordered_pair(u,v),cantor(w))* subclass(universal_class,complement(domain_of(w))) -> .
% 299.72/300.40  38888[5:Rew:39.0,38873.0] || equal(complement(inverse(u)),domain_relation) subclass(domain_relation,intersection(inverse(u),universal_class))* -> .
% 299.72/300.40  38721[5:Rew:22667.0,38697.0] || subclass(domain_relation,intersection(inverse(u),universal_class))* subclass(domain_relation,complement(inverse(u))) -> .
% 299.72/300.40  40468[5:Rew:22667.0,40443.0] || subclass(domain_relation,intersection(inverse(u),universal_class))* subclass(universal_class,complement(inverse(u))) -> .
% 299.72/300.40  38936[5:Rew:22667.0,38914.0] || equal(intersection(inverse(u),universal_class),domain_relation)** equal(complement(inverse(u)),domain_relation) -> .
% 299.72/300.40  39339[5:Rew:22667.0,39315.0] || equal(intersection(inverse(u),universal_class),domain_relation) subclass(domain_relation,complement(inverse(u)))* -> .
% 299.72/300.40  40431[5:Rew:22667.0,40406.0] || equal(intersection(inverse(u),universal_class),domain_relation) subclass(universal_class,complement(inverse(u)))* -> .
% 299.72/300.40  40401[5:Rew:39.0,40373.0] || subclass(domain_relation,inverse(u)) subclass(universal_class,complement(intersection(inverse(u),universal_class)))* -> .
% 299.72/300.40  38910[5:Rew:22667.0,38892.0] || equal(complement(intersection(inverse(u),universal_class)),domain_relation)** subclass(domain_relation,inverse(u)) -> .
% 299.72/300.40  38973[5:Rew:39.0,38948.0] || equal(inverse(u),domain_relation) equal(complement(intersection(inverse(u),universal_class)),domain_relation)** -> .
% 299.72/300.40  38819[5:Rew:39.0,38792.0] || subclass(domain_relation,inverse(u)) subclass(domain_relation,complement(intersection(inverse(u),universal_class)))* -> .
% 299.72/300.40  41054[0:Res:779.1,8834.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(ordered_pair(v,w),symmetrization_of(u))*.
% 299.72/300.40  40236[0:Res:98.1,1025.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(universal_class,complement(composition_function)) -> .
% 299.72/300.40  144742[0:Res:144714.1,8157.0] || equal(symmetric_difference(complement(u),complement(v)),universal_class)** -> member(omega,union(u,v)).
% 299.72/300.40  146071[5:SpR:146057.0,943.1] || member(u,symmetric_difference(domain_of(v),cantor(v)))* -> member(u,complement(cantor(v))).
% 299.72/300.40  146097[5:SpL:146057.0,8165.1] || member(u,symmetric_difference(domain_of(v),cantor(v)))* member(u,cantor(v)) -> .
% 299.72/300.40  146251[0:SpR:145868.1,27.0] || subclass(complement(u),complement(v))* -> equal(union(v,u),complement(complement(u))).
% 299.72/300.40  146551[5:Con:146527.2] || equal(inverse(u),universal_class) member(v,w)* -> member(v,inverse(u))*.
% 299.72/300.40  151287[5:SpL:124865.0,150227.0] || equal(symmetric_difference(complement(u),universal_class),universal_class) member(omega,symmetric_difference(universal_class,u))* -> .
% 299.72/300.40  153506[0:Res:3.1,119659.0] || member(not_subclass_element(symmetric_difference(universal_class,u),v),u)* -> subclass(symmetric_difference(universal_class,u),v).
% 299.72/300.40  153621[5:Res:26.2,153534.1] || member(u,universal_class)* equal(complement(complement(v)),universal_class)** -> member(u,v)*.
% 299.72/300.40  153650[5:Res:780.2,153534.1] || member(u,universal_class)* subclass(rest_relation,v)* equal(complement(v),universal_class) -> .
% 299.72/300.40  155109[5:SpL:124865.0,153503.0] || subclass(universal_class,symmetric_difference(complement(u),universal_class))* member(omega,symmetric_difference(universal_class,u)) -> .
% 299.72/300.40  160707[0:SpR:120682.0,45887.0] ||  -> subclass(restrict(cantor(cross_product(u,singleton(v))),w,x),segment(universal_class,u,v))*.
% 299.72/300.40  162471[0:Res:122671.0,25.1] || member(not_subclass_element(u,complement(complement(v))),v)* -> subclass(u,complement(complement(v))).
% 299.72/300.40  162491[5:Res:122671.0,29473.0] ||  -> subclass(u,complement(domain_of(v))) member(not_subclass_element(u,complement(domain_of(v))),cantor(v))*.
% 299.72/300.40  162682[0:SpR:27.0,162506.1] ||  -> member(u,intersection(complement(v),complement(w)))* subclass(singleton(u),union(v,w)).
% 299.72/300.40  163539[5:Con:163516.2] || equal(complement(u),universal_class) member(v,w)* -> member(v,complement(u))*.
% 299.72/300.40  163657[5:Con:163648.2] || equal(power_class(u),universal_class) member(v,w)* -> member(v,power_class(u))*.
% 299.72/300.40  167808[5:Res:160697.0,5229.1] inductive(cantor(cross_product(u,singleton(v)))) ||  -> member(identity_relation,segment(universal_class,u,v))*.
% 299.72/300.40  165336[5:Rew:165324.1,153999.1] || equal(complement(cross_product(cross_product(universal_class,universal_class),universal_class)),universal_class)** -> equal(rotate(u),identity_relation)**.
% 299.72/300.40  165337[5:Rew:165324.1,153998.1] || equal(complement(cross_product(cross_product(universal_class,universal_class),universal_class)),universal_class)** -> equal(flip(u),identity_relation)**.
% 299.72/300.40  167479[5:SpL:27.0,165324.0] || equal(union(u,v),universal_class) -> equal(intersection(complement(u),complement(v)),identity_relation)**.
% 299.72/300.40  26054[5:SpR:22914.0,25601.0] ||  -> equal(union(symmetric_difference(complement(u),universal_class),identity_relation),complement(symmetric_difference(union(u,identity_relation),universal_class)))**.
% 299.72/300.40  26204[5:Res:26034.0,5229.1] inductive(symmetric_difference(intersection(u,universal_class),identity_relation)) ||  -> member(identity_relation,complement(symmetric_difference(u,universal_class)))*.
% 299.72/300.40  47779[5:SpL:2089.1,47765.0] || subclass(not_subclass_element(cross_product(u,v),w),identity_relation)* -> subclass(cross_product(u,v),w).
% 299.72/300.40  47803[5:SpL:2089.1,47782.0] || equal(not_subclass_element(cross_product(u,v),w),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.72/300.40  117667[5:Res:7.1,5320.0] || equal(intersection(u,v),w)* -> equal(w,identity_relation) member(regular(w),v)*.
% 299.72/300.40  117866[5:Res:7.1,5321.0] || equal(intersection(u,v),w)* -> equal(w,identity_relation) member(regular(w),u)*.
% 299.72/300.40  119616[5:SpR:118446.0,5597.1] || asymmetric(universal_class,singleton(u)) -> equal(segment(inverse(universal_class),singleton(u),u),identity_relation)**.
% 299.72/300.40  26095[5:SpL:25853.0,3957.1] inductive(symmetric_difference(domain_of(u),universal_class)) || equal(union(cantor(u),identity_relation),universal_class)** -> .
% 299.72/300.40  86390[5:Res:86316.0,5229.1] inductive(complement(symmetrization_of(u))) ||  -> member(identity_relation,intersection(complement(u),complement(inverse(u))))*.
% 299.72/300.40  86434[5:Res:86317.0,5229.1] inductive(complement(successor(u))) ||  -> member(identity_relation,intersection(complement(u),complement(singleton(u))))*.
% 299.72/300.40  86335[5:Res:47693.0,5229.1] inductive(complement(union(u,v))) ||  -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.72/300.40  122576[5:Rew:122360.0,25464.1] inductive(symmetric_difference(universal_class,union(identity_relation,u))) ||  -> member(identity_relation,complement(complement(complement(u))))*.
% 299.72/300.40  39398[5:Res:29628.0,1054.0] ||  -> equal(complement(complement(singleton(u))),identity_relation) equal(regular(complement(complement(singleton(u)))),u)**.
% 299.72/300.40  122677[5:Rew:118447.0,27865.1] inductive(symmetric_difference(union(identity_relation,u),universal_class)) ||  -> member(identity_relation,union(complement(u),identity_relation))*.
% 299.72/300.40  123660[5:Res:5213.0,34675.0] ||  -> equal(integer_of(not_subclass_element(u,intersection(omega,u))),identity_relation)** subclass(u,intersection(omega,u)).
% 299.72/300.40  34029[5:SpL:5338.1,3626.0] || subclass(universal_class,complement(regular(cross_product(u,v))))* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  34030[5:SpL:5338.1,3649.0] || equal(complement(regular(cross_product(u,v))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  5470[5:Rew:5180.0,3772.2] || member(u,v) member(u,singleton(v))* -> equal(singleton(v),identity_relation).
% 299.72/300.40  164673[5:Rew:118447.0,162483.1,118447.0,162483.0] || member(not_subclass_element(u,union(v,identity_relation)),v)* -> subclass(u,union(v,identity_relation)).
% 299.72/300.40  122710[5:Rew:119684.0,86298.0] ||  -> subclass(complement(union(u,symmetric_difference(universal_class,v))),intersection(complement(u),union(v,identity_relation)))*.
% 299.72/300.40  122676[5:Rew:118447.0,27592.1] inductive(symmetric_difference(complement(intersection(universal_class,u)),universal_class)) ||  -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  28214[5:Res:27132.1,143.0] || subclass(domain_relation,complement(complement(rest_of(u))))* -> equal(restrict(u,identity_relation,universal_class),identity_relation).
% 299.72/300.40  125896[5:Res:5288.2,29473.0] || subclass(omega,domain_of(u)) -> equal(integer_of(v),identity_relation) member(v,cantor(u))*.
% 299.72/300.40  24922[5:SpL:941.0,5192.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v)))* -> member(identity_relation,union(u,v)).
% 299.72/300.40  24902[5:SpL:941.0,5191.0] || equal(symmetric_difference(complement(u),complement(v)),universal_class)** -> member(identity_relation,union(u,v)).
% 299.72/300.40  32920[5:Res:5214.2,29473.0] || subclass(u,domain_of(v)) -> equal(u,identity_relation) member(regular(u),cantor(v))*.
% 299.72/300.40  8085[5:Res:763.1,5405.0] || subclass(universal_class,regular(u)) member(singleton(v),u)* -> equal(u,identity_relation).
% 299.72/300.40  117843[5:SpL:22519.0,5321.0] || subclass(u,cantor(v)) -> equal(u,identity_relation) member(regular(u),domain_of(v))*.
% 299.72/300.40  123005[5:MRR:113696.0,29542.1] || subclass(u,complement(complement(v)))* -> member(regular(u),v) equal(u,identity_relation).
% 299.72/300.40  123653[5:Res:5213.0,5322.1] || subclass(u,complement(omega))* -> equal(integer_of(regular(u)),identity_relation) equal(u,identity_relation).
% 299.72/300.40  125015[5:Res:119650.1,5405.0] || equal(regular(u),universal_class) member(singleton(v),u)* -> equal(u,identity_relation).
% 299.72/300.40  118526[5:Rew:118446.0,22789.1] ||  -> equal(singleton(u),identity_relation) equal(symmetric_difference(singleton(u),u),union(singleton(u),u))**.
% 299.72/300.40  50800[5:Res:16080.1,23342.0] || subclass(rest_relation,successor_relation)* -> equal(singleton(u),identity_relation) equal(rest_of(u),successor(u))**.
% 299.72/300.40  118159[5:Rew:113956.0,118112.2] || member(not_subclass_element(u,identity_relation),singleton(v))* -> member(v,u) subclass(u,identity_relation).
% 299.72/300.40  5527[5:Rew:5180.0,4739.1] || subclass(omega,singleton(u))* -> equal(integer_of(u),identity_relation) equal(singleton(u),omega).
% 299.72/300.40  164660[5:Rew:118447.0,153022.0] ||  -> equal(intersection(union(u,identity_relation),symmetric_difference(complement(u),universal_class)),symmetric_difference(complement(u),universal_class))**.
% 299.72/300.40  167720[5:Rew:118447.0,167706.1,118447.0,167706.0] || member(regular(union(u,identity_relation)),complement(u))* -> equal(union(u,identity_relation),identity_relation).
% 299.72/300.40  25816[5:SpL:22914.0,817.0] || subclass(universal_class,symmetric_difference(complement(u),universal_class)) -> member(singleton(v),union(u,identity_relation))*.
% 299.72/300.40  25824[5:SpL:22914.0,4131.0] || equal(symmetric_difference(complement(u),universal_class),universal_class) -> member(singleton(v),union(u,identity_relation))*.
% 299.72/300.40  122709[5:Rew:119684.0,52310.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(singleton(v),union(u,identity_relation))* -> .
% 299.72/300.40  120335[5:Rew:118447.0,120308.1] || subclass(union(u,identity_relation),symmetric_difference(universal_class,u))* -> equal(union(u,identity_relation),identity_relation).
% 299.72/300.40  122707[5:Rew:119684.0,86309.0] ||  -> subclass(complement(union(symmetric_difference(universal_class,u),v)),intersection(union(u,identity_relation),complement(v)))*.
% 299.72/300.40  124957[5:SpL:118447.0,113722.0] || subclass(symmetric_difference(universal_class,u),union(u,identity_relation))* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.40  6642[5:SpL:5718.0,3957.1] inductive(intersection(complement(u),diagonalise(v))) || equal(union(u,identity_relation),universal_class)** -> .
% 299.72/300.40  12228[5:SpL:6872.0,3957.1] inductive(intersection(complement(u),successor(universal_class))) || equal(union(u,identity_relation),universal_class)** -> .
% 299.72/300.40  122704[5:Rew:119684.0,22628.1] || subclass(universal_class,complement(union(u,identity_relation))) -> member(singleton(v),symmetric_difference(universal_class,u))*.
% 299.72/300.40  38342[5:Rew:54.0,38308.0] || subclass(domain_relation,sum_class(u)) -> member(ordered_pair(identity_relation,identity_relation),intersection(sum_class(u),universal_class))*.
% 299.72/300.40  38343[5:Rew:39.0,38310.0] || subclass(domain_relation,inverse(u)) -> member(ordered_pair(identity_relation,identity_relation),intersection(inverse(u),universal_class))*.
% 299.72/300.40  28798[5:SpL:931.0,6465.0] || subclass(domain_relation,symmetric_difference(u,inverse(u)))* -> member(ordered_pair(identity_relation,identity_relation),symmetrization_of(u))*.
% 299.72/300.40  39164[5:SpL:931.0,28828.0] || equal(symmetric_difference(u,inverse(u)),domain_relation)** -> member(ordered_pair(identity_relation,identity_relation),symmetrization_of(u))*.
% 299.72/300.40  27429[5:Res:5615.1,22549.1] || subclass(domain_relation,complement(compose(element_relation,universal_class)))* member(ordered_pair(identity_relation,identity_relation),element_relation) -> .
% 299.72/300.40  6470[5:Res:5615.1,944.0] || subclass(domain_relation,symmetric_difference(u,v)) -> member(ordered_pair(identity_relation,identity_relation),union(u,v))*.
% 299.72/300.40  39163[5:SpL:160.0,28828.0] || equal(symmetric_difference(u,v),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),union(u,v))*.
% 299.72/300.40  28799[5:SpL:932.0,6465.0] || subclass(domain_relation,symmetric_difference(u,singleton(u)))* -> member(ordered_pair(identity_relation,identity_relation),successor(u))*.
% 299.72/300.40  39165[5:SpL:932.0,28828.0] || equal(symmetric_difference(u,singleton(u)),domain_relation)** -> member(ordered_pair(identity_relation,identity_relation),successor(u))*.
% 299.72/300.40  116714[5:MRR:116687.0,641.0] || subclass(domain_relation,complement(union(u,v)))* -> member(ordered_pair(identity_relation,identity_relation),complement(u))*.
% 299.72/300.40  117101[5:MRR:117066.0,641.0] || subclass(domain_relation,complement(union(u,v)))* -> member(ordered_pair(identity_relation,identity_relation),complement(v))*.
% 299.72/300.40  122788[5:Rew:122359.0,122787.1] || subclass(domain_relation,complement(u)) member(ordered_pair(identity_relation,identity_relation),complement(complement(u)))* -> .
% 299.72/300.40  6462[5:Res:5615.1,2.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(identity_relation,identity_relation),v)*.
% 299.72/300.40  28192[5:Res:27132.1,23.0] || subclass(domain_relation,complement(complement(intersection(u,v))))* -> member(ordered_pair(identity_relation,identity_relation),v).
% 299.72/300.40  27109[5:Res:608.1,6463.1] || member(ordered_pair(identity_relation,identity_relation),cantor(u))* subclass(domain_relation,complement(domain_of(u))) -> .
% 299.72/300.40  32910[5:Res:27132.1,29473.0] || subclass(domain_relation,complement(complement(domain_of(u)))) -> member(ordered_pair(identity_relation,identity_relation),cantor(u))*.
% 299.72/300.40  6554[5:Res:6523.1,2.0] || equal(domain_relation,rest_relation) subclass(rest_relation,u) -> member(ordered_pair(identity_relation,identity_relation),u)*.
% 299.72/300.40  28191[5:Res:27132.1,22.0] || subclass(domain_relation,complement(complement(intersection(u,v))))* -> member(ordered_pair(identity_relation,identity_relation),u).
% 299.72/300.40  28189[5:Res:27132.1,25.1] || subclass(domain_relation,complement(complement(complement(u))))* member(ordered_pair(identity_relation,identity_relation),u) -> .
% 299.72/300.40  125694[7:Res:125624.1,595.0] || equal(restrict(u,v,w),singleton(identity_relation))** -> member(identity_relation,cross_product(v,w))*.
% 299.72/300.40  125683[7:Res:125624.1,8165.1] || equal(intersection(u,v),singleton(identity_relation)) member(identity_relation,symmetric_difference(u,v))* -> .
% 299.72/300.40  40728[0:SpL:39.0,40700.0] || member(flip(cross_product(u,universal_class)),inverse(u))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  40726[0:SpL:54.0,40700.0] || member(restrict(element_relation,universal_class,u),sum_class(u))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  40253[0:Res:29470.2,1025.1] || member(u,universal_class)* member(v,u)* subclass(universal_class,complement(element_relation))* -> .
% 299.72/300.40  40899[0:Res:3780.1,40810.0] || equal(complement(complement(rest_of(singleton(u)))),universal_class)** subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  30987[5:Res:29487.1,2.0] || member(u,element_relation)* subclass(compose(element_relation,universal_class),v)* -> member(u,v)*.
% 299.72/300.40  27419[5:Res:779.1,22549.1] || subclass(universal_class,complement(compose(element_relation,universal_class)))* member(ordered_pair(u,v),element_relation)* -> .
% 299.72/300.40  27418[5:Res:762.1,22549.1] || subclass(universal_class,complement(compose(element_relation,universal_class)))* member(unordered_pair(u,v),element_relation)* -> .
% 299.72/300.40  30990[5:Res:29487.1,4.0] || member(not_subclass_element(u,compose(element_relation,universal_class)),element_relation)* -> subclass(u,compose(element_relation,universal_class)).
% 299.72/300.40  146476[5:Con:146470.2] || equal(sum_class(u),universal_class) member(v,w)* -> member(v,sum_class(u))*.
% 299.72/300.40  153852[5:Res:153612.1,3385.1] || equal(complement(u),universal_class) member(u,universal_class)* -> equal(sum_class(u),u).
% 299.72/300.40  38720[5:Rew:22654.0,38695.0] || subclass(domain_relation,intersection(sum_class(u),universal_class))* subclass(domain_relation,complement(sum_class(u))) -> .
% 299.72/300.40  38887[5:Rew:54.0,38871.0] || equal(complement(sum_class(u)),domain_relation) subclass(domain_relation,intersection(sum_class(u),universal_class))* -> .
% 299.72/300.40  40467[5:Rew:22654.0,40441.0] || subclass(domain_relation,intersection(sum_class(u),universal_class))* subclass(universal_class,complement(sum_class(u))) -> .
% 299.72/300.40  38935[5:Rew:22654.0,38912.0] || equal(intersection(sum_class(u),universal_class),domain_relation)** equal(complement(sum_class(u)),domain_relation) -> .
% 299.72/300.40  39338[5:Rew:22654.0,39313.0] || equal(intersection(sum_class(u),universal_class),domain_relation) subclass(domain_relation,complement(sum_class(u)))* -> .
% 299.72/300.40  40430[5:Rew:22654.0,40404.0] || equal(intersection(sum_class(u),universal_class),domain_relation) subclass(universal_class,complement(sum_class(u)))* -> .
% 299.72/300.40  38818[5:Rew:54.0,38790.0] || subclass(domain_relation,sum_class(u)) subclass(domain_relation,complement(intersection(sum_class(u),universal_class)))* -> .
% 299.72/300.40  38909[5:Rew:22654.0,38890.0] || equal(complement(intersection(sum_class(u),universal_class)),domain_relation)** subclass(domain_relation,sum_class(u)) -> .
% 299.72/300.40  38972[5:Rew:54.0,38946.0] || equal(sum_class(u),domain_relation) equal(complement(intersection(sum_class(u),universal_class)),domain_relation)** -> .
% 299.72/300.40  40400[5:Rew:54.0,40371.0] || subclass(domain_relation,sum_class(u)) subclass(universal_class,complement(intersection(sum_class(u),universal_class)))* -> .
% 299.72/300.40  118524[5:Rew:118446.0,22815.0] ||  -> equal(symmetric_difference(complement(compose(element_relation,universal_class)),element_relation),union(complement(compose(element_relation,universal_class)),element_relation))**.
% 299.72/300.40  50769[0:Res:12.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(unordered_pair(u,v)),successor(unordered_pair(u,v)))**.
% 299.72/300.40  50802[0:Res:641.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(ordered_pair(u,v)),successor(ordered_pair(u,v)))**.
% 299.72/300.40  178041[14:Res:178018.1,8157.0] || subclass(omega,symmetric_difference(complement(u),complement(v)))* -> member(identity_relation,union(u,v)).
% 299.72/300.40  178236[14:Res:178049.1,2.0] || subclass(omega,domain_of(u)) subclass(cantor(u),v)* -> member(identity_relation,v).
% 299.72/300.40  178398[14:SpL:27.0,178302.1] inductive(intersection(complement(u),complement(v))) || equal(union(u,v),omega)** -> .
% 299.72/300.40  178587[14:Res:178550.1,2.0] || subclass(omega,cantor(u)) subclass(domain_of(u),v)* -> member(identity_relation,v).
% 299.72/300.40  178697[14:SpL:941.0,178572.0] || equal(symmetric_difference(complement(u),complement(v)),omega)** -> member(identity_relation,union(u,v)).
% 299.72/300.40  178762[14:Res:178684.1,2.0] || equal(cantor(u),omega) subclass(domain_of(u),v)* -> member(identity_relation,v).
% 299.72/300.40  178776[14:Res:178730.1,2.0] || equal(domain_of(u),omega) subclass(cantor(u),v)* -> member(identity_relation,v).
% 299.72/300.40  179776[7:Res:179748.1,2.0] || member(identity_relation,u) subclass(union(u,identity_relation),v)* -> member(identity_relation,v).
% 299.72/300.40  179789[7:Res:179749.0,2.0] || subclass(union(u,identity_relation),v)* -> member(identity_relation,complement(u)) member(identity_relation,v).
% 299.72/300.40  179795[7:Rew:27.0,179786.1,22454.0,179786.0] ||  -> member(identity_relation,complement(intersection(union(u,v),universal_class)))* member(identity_relation,union(u,v)).
% 299.72/300.40  180116[5:SpL:124865.0,166443.0] || subclass(universal_class,symmetric_difference(complement(u),universal_class))* member(identity_relation,symmetric_difference(universal_class,u)) -> .
% 299.72/300.40  180174[5:SpL:124865.0,166528.0] || equal(symmetric_difference(complement(u),universal_class),universal_class) member(identity_relation,symmetric_difference(universal_class,u))* -> .
% 299.72/300.40  87001[4:Res:3364.1,79033.0] || member(cantor(inverse(u)),universal_class) -> subclass(sum_class(cantor(inverse(u))),range_of(u))*.
% 299.72/300.40  87319[0:Res:86994.1,3646.0] || equal(cantor(inverse(u)),sum_class(range_of(u))) -> section(element_relation,range_of(u),universal_class)*.
% 299.72/300.40  123992[0:Res:49.1,79033.0] inductive(cantor(inverse(u))) ||  -> subclass(image(successor_relation,cantor(inverse(u))),range_of(u))*.
% 299.72/300.40  160918[0:Res:122840.1,610.0] || well_ordering(universal_class,complement(cantor(inverse(u))))* -> member(singleton(singleton(v)),range_of(u))*.
% 299.72/300.40  615[0:Res:3.1,610.0] ||  -> subclass(cantor(inverse(u)),v) member(not_subclass_element(cantor(inverse(u)),v),range_of(u))*.
% 299.72/300.40  87332[5:Res:86994.1,5375.0] || equal(cantor(inverse(u)),complement(range_of(u)))** -> equal(complement(range_of(u)),identity_relation).
% 299.72/300.40  40709[0:Rew:40.0,40681.0] || member(inverse(u),range_of(u)) -> member(ordered_pair(inverse(u),range_of(u)),element_relation)*.
% 299.72/300.40  87326[0:Res:86994.1,46366.0] || equal(cantor(inverse(u)),ordered_pair(v,w))* well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.40  87327[0:Res:86994.1,782.0] || equal(cantor(inverse(u)),ordered_pair(v,w))* -> member(singleton(v),range_of(u))*.
% 299.72/300.40  3795[0:Res:3780.1,610.0] || equal(complement(complement(cantor(inverse(u)))),universal_class)** -> member(singleton(v),range_of(u))*.
% 299.72/300.40  8406[5:Res:8347.0,8.0] || subclass(range_of(u),cantor(inverse(u)))* -> equal(cantor(inverse(u)),range_of(u)).
% 299.72/300.40  150364[5:Con:150354.2] || equal(range_of(u),universal_class) member(v,w)* -> member(v,range_of(u))*.
% 299.72/300.40  151282[5:SpL:126709.0,150227.0] || equal(symmetric_difference(range_of(u),universal_class),universal_class) member(omega,cantor(inverse(u)))* -> .
% 299.72/300.40  151446[5:SpR:150390.1,126709.0] || equal(complement(cantor(inverse(u))),universal_class) -> equal(symmetric_difference(range_of(u),universal_class),universal_class)**.
% 299.72/300.40  180173[5:SpL:126709.0,166528.0] || equal(symmetric_difference(range_of(u),universal_class),universal_class) member(identity_relation,cantor(inverse(u)))* -> .
% 299.72/300.40  150174[5:SpL:126709.0,144766.0] || subclass(universal_class,symmetric_difference(range_of(u),universal_class)) -> member(omega,complement(cantor(inverse(u))))*.
% 299.72/300.40  155104[5:SpL:126709.0,153503.0] || subclass(universal_class,symmetric_difference(range_of(u),universal_class))* member(omega,cantor(inverse(u))) -> .
% 299.72/300.40  179957[5:SpL:126709.0,124833.0] || subclass(universal_class,symmetric_difference(range_of(u),universal_class)) -> member(identity_relation,complement(cantor(inverse(u))))*.
% 299.72/300.40  180115[5:SpL:126709.0,166443.0] || subclass(universal_class,symmetric_difference(range_of(u),universal_class))* member(identity_relation,cantor(inverse(u))) -> .
% 299.72/300.40  143261[5:Rew:119684.0,143241.0,22457.0,143241.0,22457.0,143241.0] ||  -> equal(symmetric_difference(complement(cantor(inverse(u))),universal_class),symmetric_difference(universal_class,symmetric_difference(range_of(u),universal_class)))**.
% 299.72/300.40  87310[5:Res:86994.1,5229.1] inductive(u) || equal(cantor(inverse(v)),u)* -> member(identity_relation,range_of(v))*.
% 299.72/300.40  34908[5:Res:29474.1,816.1] || member(singleton(u),range_of(v))* subclass(universal_class,complement(cantor(inverse(v))))* -> .
% 299.72/300.40  22739[5:Rew:22446.0,8154.0] || member(u,symmetric_difference(range_of(v),universal_class))* -> member(u,complement(cantor(inverse(v)))).
% 299.72/300.40  30858[5:MRR:30857.0,29469.1] || member(u,complement(cantor(inverse(v)))) -> member(u,symmetric_difference(range_of(v),universal_class))*.
% 299.72/300.40  47875[5:SpL:22595.0,8165.1] || member(u,symmetric_difference(range_of(v),universal_class))* member(u,cantor(inverse(v))) -> .
% 299.72/300.40  111333[5:Res:29474.1,111279.0] || member(singleton(singleton(u)),range_of(v))* well_ordering(universal_class,cantor(inverse(v))) -> .
% 299.72/300.40  45821[0:Rew:40.0,45786.1] || member(not_subclass_element(u,range_of(v)),cantor(inverse(v)))* -> subclass(u,range_of(v)).
% 299.72/300.40  150371[5:SpL:120676.0,146241.0] || subclass(universal_class,image(universal_class,u)) -> equal(cantor(inverse(cross_product(u,universal_class))),universal_class)**.
% 299.72/300.40  120748[0:SpR:120676.0,86994.1] || equal(cantor(inverse(cross_product(u,universal_class))),v)* -> subclass(v,image(universal_class,u))*.
% 299.72/300.40  178877[5:Res:94300.0,5229.1] inductive(complement(power_class(image(element_relation,universal_class)))) ||  -> member(identity_relation,image(element_relation,power_class(identity_relation)))*.
% 299.72/300.40  179311[5:Res:94299.0,5229.1] inductive(complement(power_class(image(element_relation,identity_relation)))) ||  -> member(identity_relation,image(element_relation,power_class(universal_class)))*.
% 299.72/300.40  166125[5:Res:153612.1,5197.1] || equal(complement(image(successor_relation,u)),universal_class)** member(identity_relation,u) -> inductive(u).
% 299.72/300.40  16195[5:Res:8402.0,5229.1] inductive(cantor(inverse(restrict(u,v,universal_class)))) ||  -> member(identity_relation,image(u,v))*.
% 299.72/300.40  87338[5:Rew:22714.0,87306.0] || equal(intersection(image(u,v),universal_class),w)* -> subclass(w,image(u,v))*.
% 299.72/300.40  101875[5:Rew:69.0,101863.1] || subclass(universal_class,intersection(apply(u,v),universal_class))* -> equal(apply(u,v),universal_class).
% 299.72/300.40  11973[5:Res:8611.0,5229.1] inductive(symmetric_difference(range_of(u),successor(universal_class))) ||  -> member(identity_relation,complement(cantor(inverse(u))))*.
% 299.72/300.40  179188[14:SpL:122495.0,178302.1] inductive(image(element_relation,successor(identity_relation))) || equal(power_class(complement(singleton(identity_relation))),omega)** -> .
% 299.72/300.40  179167[5:SpL:122495.0,3957.1] inductive(image(element_relation,successor(identity_relation))) || equal(power_class(complement(singleton(identity_relation))),universal_class)** -> .
% 299.72/300.40  52012[5:Rew:5253.1,52011.1] || member(regular(u),singleton(u))* -> equal(u,identity_relation) equal(singleton(u),identity_relation).
% 299.72/300.40  85827[5:Res:45832.1,5229.1] inductive(singleton(u)) || member(u,cantor(v))* -> member(identity_relation,domain_of(v))*.
% 299.72/300.40  125700[7:Res:125624.1,5405.0] || equal(regular(u),singleton(identity_relation)) member(identity_relation,u)* -> equal(u,identity_relation).
% 299.72/300.40  125679[7:Res:125624.1,9.0] || equal(unordered_pair(u,v),singleton(identity_relation))** -> equal(identity_relation,v) equal(identity_relation,u).
% 299.72/300.40  53060[0:Res:53042.1,2.0] || well_ordering(u,universal_class) subclass(rest_relation,v) -> member(least(u,rest_relation),v)*.
% 299.72/300.40  53080[0:Res:53058.1,2.0] || well_ordering(u,universal_class) subclass(universal_class,v) -> member(least(u,rest_relation),v)*.
% 299.72/300.40  8779[0:Res:8771.1,2.0] || well_ordering(u,universal_class) subclass(universal_class,v) -> member(least(u,universal_class),v)*.
% 299.72/300.40  53066[0:Res:53055.1,2.0] || well_ordering(u,rest_relation) subclass(rest_relation,v) -> member(least(u,rest_relation),v)*.
% 299.72/300.40  53094[0:Res:53064.1,2.0] || well_ordering(u,rest_relation) subclass(universal_class,v) -> member(least(u,rest_relation),v)*.
% 299.72/300.40  33620[5:MRR:33616.0,99.0] || subclass(composition_function,u) well_ordering(v,u)* -> member(least(v,composition_function),composition_function)*.
% 299.72/300.40  5071[3:Res:5058.0,126.0] || subclass(domain_relation,u) well_ordering(v,u)* -> member(least(v,domain_relation),domain_relation)*.
% 299.72/300.40  53054[0:Res:7.1,28696.0] || equal(u,rest_relation) well_ordering(v,u)* -> member(least(v,rest_relation),rest_relation)*.
% 299.72/300.40  178019[14:Res:178017.0,126.0] || subclass(omega,u) well_ordering(v,u)* -> member(least(v,omega),omega)*.
% 299.72/300.40  46309[0:Res:334.1,3924.0] || member(u,universal_class) subclass(singleton(u),v)* well_ordering(universal_class,v) -> .
% 299.72/300.40  46301[5:Res:5294.1,3924.0] || subclass(u,v)* well_ordering(universal_class,v)* -> equal(intersection(u,w),identity_relation)**.
% 299.72/300.40  46362[5:Res:5295.1,3924.0] || subclass(u,v)* well_ordering(universal_class,v)* -> equal(intersection(w,u),identity_relation)**.
% 299.72/300.40  46300[5:Res:29628.0,3924.0] || subclass(u,v)* well_ordering(universal_class,v)* -> equal(complement(complement(u)),identity_relation)**.
% 299.72/300.40  46442[5:Res:32904.1,3924.0] || subclass(cantor(u),v)* well_ordering(universal_class,v) -> equal(domain_of(u),identity_relation).
% 299.72/300.40  46421[5:Res:5588.1,3924.0] || subclass(domain_of(u),v)* well_ordering(universal_class,v) -> equal(cantor(u),identity_relation).
% 299.72/300.40  125673[7:Res:125624.1,3924.0] || equal(u,singleton(identity_relation)) subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  46329[0:Res:29471.1,3924.0] || member(u,domain_of(u))* subclass(element_relation,v) well_ordering(universal_class,v)* -> .
% 299.72/300.40  46330[0:Res:29472.1,3924.0] || member(u,rest_of(u))* subclass(element_relation,v) well_ordering(universal_class,v)* -> .
% 299.72/300.40  111285[0:Res:45819.1,46369.0] || subclass(singleton(singleton(singleton(u))),cantor(v))* well_ordering(universal_class,domain_of(v)) -> .
% 299.72/300.40  152786[0:Res:122840.1,158.0] || well_ordering(universal_class,complement(omega)) -> equal(integer_of(singleton(singleton(u))),singleton(singleton(u)))**.
% 299.72/300.40  152799[0:Res:122840.1,596.0] || well_ordering(universal_class,complement(restrict(u,v,w)))* -> member(singleton(singleton(x)),u)*.
% 299.72/300.40  152801[0:Res:122840.1,40810.0] || well_ordering(universal_class,complement(rest_of(singleton(singleton(u)))))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  176865[7:SpL:27.0,176819.0] || well_ordering(universal_class,union(u,v)) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.72/300.40  91412[0:SpL:2089.1,86932.0] || well_ordering(universal_class,not_subclass_element(cross_product(u,v),w))* -> subclass(cross_product(u,v),w).
% 299.72/300.40  149990[0:SpL:39.0,122838.1] || subclass(rest_relation,rest_of(flip(cross_product(u,universal_class))))* well_ordering(universal_class,inverse(u)) -> .
% 299.72/300.40  153302[5:Res:118490.1,111279.0] || member(singleton(singleton(u)),complement(v))* well_ordering(universal_class,symmetric_difference(universal_class,v)) -> .
% 299.72/300.40  167198[5:SpL:118447.0,111306.0] || equal(complement(union(u,identity_relation)),universal_class) well_ordering(universal_class,symmetric_difference(universal_class,u))* -> .
% 299.72/300.40  149988[0:SpL:54.0,122838.1] || subclass(rest_relation,rest_of(restrict(element_relation,universal_class,u)))* well_ordering(universal_class,sum_class(u)) -> .
% 299.72/300.40  5741[5:Rew:5180.0,5628.2,5180.0,5628.1] || connected(identity_relation,u) member(v,not_well_ordering(identity_relation,u))* -> well_ordering(identity_relation,u).
% 299.72/300.40  189306[7:Res:124837.1,125680.1] || equal(symmetric_difference(universal_class,u),universal_class)** equal(complement(complement(u)),singleton(identity_relation)) -> .
% 299.72/300.40  189368[7:Res:125686.1,125680.1] || equal(domain_of(u),singleton(identity_relation)) equal(complement(cantor(u)),singleton(identity_relation))** -> .
% 299.72/300.40  189537[7:Rew:189431.0,124284.0] ||  -> subclass(symmetric_difference(singleton(identity_relation),complement(singleton(complement(singleton(identity_relation))))),successor(complement(singleton(identity_relation))))*.
% 299.72/300.40  189538[7:Rew:189431.0,124283.0] ||  -> subclass(symmetric_difference(singleton(identity_relation),complement(inverse(complement(singleton(identity_relation))))),symmetrization_of(complement(singleton(identity_relation))))*.
% 299.72/300.40  189563[7:Rew:189431.0,179223.0] || equal(intersection(singleton(identity_relation),universal_class),universal_class) member(omega,complement(singleton(identity_relation)))* -> .
% 299.72/300.40  189564[7:Rew:189431.0,179224.0] || subclass(universal_class,intersection(singleton(identity_relation),universal_class))* member(omega,complement(singleton(identity_relation))) -> .
% 299.72/300.40  189567[7:Rew:189431.0,179125.0] ||  -> equal(intersection(power_class(complement(singleton(identity_relation))),universal_class),symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))))**.
% 299.72/300.40  189578[7:Rew:189431.0,179178.1] || well_ordering(universal_class,power_class(complement(singleton(identity_relation))))* -> member(identity_relation,image(element_relation,singleton(identity_relation))).
% 299.72/300.40  189579[7:Rew:189431.0,179104.1] inductive(complement(power_class(complement(singleton(identity_relation))))) ||  -> member(identity_relation,image(element_relation,singleton(identity_relation)))*.
% 299.72/300.40  189583[7:Rew:189431.0,179163.1] || equal(power_class(complement(singleton(identity_relation))),universal_class) -> equal(image(element_relation,singleton(identity_relation)),identity_relation)**.
% 299.72/300.40  189590[7:Rew:189431.0,179126.0] ||  -> subclass(symmetric_difference(power_class(complement(singleton(identity_relation))),universal_class),union(image(element_relation,singleton(identity_relation)),identity_relation))*.
% 299.72/300.40  189595[7:Rew:189431.0,179150.0] ||  -> member(u,image(element_relation,singleton(identity_relation))) subclass(singleton(u),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.40  189699[7:Rew:189431.0,188889.0] || subclass(singleton(identity_relation),union(u,identity_relation))* member(identity_relation,symmetric_difference(universal_class,u)) -> .
% 299.72/300.40  190109[7:SpL:189471.0,3957.1] inductive(image(element_relation,singleton(identity_relation))) || equal(power_class(complement(singleton(identity_relation))),universal_class)** -> .
% 299.72/300.40  190127[14:SpL:189471.0,178302.1] inductive(image(element_relation,singleton(identity_relation))) || equal(power_class(complement(singleton(identity_relation))),omega)** -> .
% 299.72/300.40  190546[5:SpR:177103.1,162506.1] || equal(complement(u),universal_class) -> member(v,complement(u))* subclass(singleton(v),identity_relation).
% 299.72/300.40  190777[5:SpR:177104.1,162506.1] || equal(inverse(u),universal_class) -> member(v,inverse(u))* subclass(singleton(v),identity_relation).
% 299.72/300.40  190943[5:SpR:177451.1,162506.1] || equal(sum_class(u),universal_class) -> member(v,sum_class(u))* subclass(singleton(v),identity_relation).
% 299.72/300.40  191063[14:SpL:124865.0,178042.0] || subclass(omega,symmetric_difference(complement(u),universal_class))* member(identity_relation,symmetric_difference(universal_class,u)) -> .
% 299.72/300.40  191257[14:SpL:118447.0,178298.1] || equal(symmetric_difference(universal_class,u),singleton(identity_relation))** equal(union(u,identity_relation),omega) -> .
% 299.72/300.40  191292[14:Res:178692.1,125680.1] || equal(symmetric_difference(universal_class,u),omega)** equal(complement(complement(u)),singleton(identity_relation)) -> .
% 299.72/300.40  191311[14:SpL:124865.0,178723.0] || equal(symmetric_difference(complement(u),universal_class),omega) member(identity_relation,symmetric_difference(universal_class,u))* -> .
% 299.72/300.40  191595[14:SpL:126709.0,178043.0] || subclass(omega,symmetric_difference(range_of(u),universal_class)) -> member(identity_relation,complement(cantor(inverse(u))))*.
% 299.72/300.40  191596[14:SpL:126709.0,178042.0] || subclass(omega,symmetric_difference(range_of(u),universal_class))* member(identity_relation,cantor(inverse(u))) -> .
% 299.72/300.40  191597[14:SpL:126709.0,178723.0] || equal(symmetric_difference(range_of(u),universal_class),omega) member(identity_relation,cantor(inverse(u)))* -> .
% 299.72/300.40  191615[12:SpL:120676.0,178263.0] || member(sum_class(image(universal_class,u)),universal_class)* member(cross_product(u,universal_class),universal_class) -> .
% 299.72/300.40  191645[15:MRR:167505.2,191629.0] single_valued_class(intersection(complement(u),complement(v))) || equal(union(u,v),universal_class)** -> .
% 299.72/300.40  191646[15:MRR:179207.2,191629.0] single_valued_class(image(element_relation,successor(identity_relation))) || equal(power_class(complement(singleton(identity_relation))),universal_class)** -> .
% 299.72/300.40  191650[15:MRR:190148.2,191629.0] single_valued_class(image(element_relation,singleton(identity_relation))) || equal(power_class(complement(singleton(identity_relation))),universal_class)** -> .
% 299.72/300.40  191798[15:SpL:191728.0,5244.1] || member(range_of(identity_relation),domain_of(u))* equal(restrict(u,identity_relation,universal_class),identity_relation) -> .
% 299.72/300.40  192333[12:SpL:43.0,191616.0] || member(image(u,v),universal_class) member(restrict(u,v,universal_class),universal_class)* -> .
% 299.72/300.40  192407[12:SpR:43.0,192335.1] || member(restrict(u,v,universal_class),universal_class)* -> equal(integer_of(image(u,v)),identity_relation).
% 299.72/300.40  192454[12:SpR:43.0,192336.1] || member(restrict(u,v,universal_class),universal_class)* -> equal(singleton(image(u,v)),identity_relation).
% 299.72/300.40  192494[12:Rew:22454.0,192417.1] || member(u,universal_class) -> subclass(symmetric_difference(complement(range_of(u)),universal_class),successor(range_of(u)))*.
% 299.72/300.40  192497[12:Rew:119684.0,192418.1,22454.0,192418.1] || member(u,universal_class) -> subclass(complement(successor(range_of(u))),symmetric_difference(universal_class,range_of(u)))*.
% 299.72/300.40  192662[15:SpR:191858.0,22914.0] ||  -> equal(intersection(successor(sum_class(range_of(identity_relation))),universal_class),symmetric_difference(complement(sum_class(range_of(identity_relation))),universal_class))**.
% 299.72/300.40  192663[15:SpR:191858.0,179710.1] || equal(complement(sum_class(range_of(identity_relation))),universal_class)** -> equal(successor(sum_class(range_of(identity_relation))),identity_relation).
% 299.72/300.40  192803[14:SpR:120676.0,178685.1] || equal(cantor(inverse(cross_product(u,universal_class))),omega)** -> member(identity_relation,image(universal_class,u)).
% 299.72/300.40  192809[14:Res:178685.1,125680.1] || equal(cantor(inverse(u)),omega)** equal(complement(range_of(u)),singleton(identity_relation)) -> .
% 299.72/300.40  192865[5:SpR:177107.1,162506.1] || equal(range_of(u),universal_class) -> member(v,range_of(u))* subclass(singleton(v),identity_relation).
% 299.72/300.40  193211[5:SpR:177102.1,162506.1] || equal(power_class(u),universal_class) -> member(v,power_class(u))* subclass(singleton(v),identity_relation).
% 299.72/300.40  193432[14:SpL:118447.0,189298.1] || equal(symmetric_difference(universal_class,u),omega)** equal(union(u,identity_relation),singleton(identity_relation)) -> .
% 299.72/300.40  193471[7:SpL:118447.0,189302.1] || equal(symmetric_difference(universal_class,u),universal_class)** equal(union(u,identity_relation),singleton(identity_relation)) -> .
% 299.72/300.40  193512[7:SpL:118447.0,189307.0] || equal(complement(union(u,identity_relation)),singleton(identity_relation)) -> member(identity_relation,symmetric_difference(universal_class,u))*.
% 299.72/300.40  193617[12:SpR:120676.0,191619.1] || member(cross_product(u,universal_class),universal_class) -> equal(integer_of(sum_class(image(universal_class,u))),identity_relation)**.
% 299.72/300.40  193666[12:SpR:120676.0,191620.1] || member(cross_product(u,universal_class),universal_class) -> equal(singleton(sum_class(image(universal_class,u))),identity_relation)**.
% 299.72/300.40  194035[15:Res:194012.1,2.0] || subclass(complement(u),v)* -> member(singleton(identity_relation),u)* member(singleton(identity_relation),v)*.
% 299.72/300.40  194161[15:Res:192110.1,119659.0] || equal(symmetric_difference(universal_class,u),singleton(singleton(identity_relation))) member(singleton(identity_relation),u)* -> .
% 299.72/300.40  194162[15:Res:192110.1,119626.0] || equal(symmetric_difference(universal_class,u),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),complement(u))*.
% 299.72/300.40  194173[15:Res:192110.1,596.0] || equal(restrict(u,v,w),singleton(singleton(identity_relation)))** -> member(singleton(identity_relation),u).
% 299.72/300.40  194179[15:Res:192110.1,40810.0] || equal(rest_of(singleton(identity_relation)),singleton(singleton(identity_relation))) subclass(universal_class,complement(element_relation))* -> .
% 299.72/300.40  194205[7:Res:193112.1,125680.1] || equal(cantor(u),singleton(identity_relation)) equal(complement(domain_of(u)),singleton(identity_relation))** -> .
% 299.72/300.40  194691[5:SpR:168166.1,29.0] || equal(complement(cross_product(u,v)),universal_class) -> equal(restrict(w,u,v),identity_relation)**.
% 299.72/300.40  194890[5:SpR:168067.1,22914.0] || equal(complement(union(u,identity_relation)),universal_class) -> equal(symmetric_difference(complement(u),universal_class),identity_relation)**.
% 299.72/300.40  194892[5:SpR:168067.1,160.0] || equal(complement(complement(intersection(u,v))),universal_class)** -> equal(symmetric_difference(u,v),identity_relation).
% 299.72/300.40  195309[17:Res:66.2,195144.0] function(u) || member(v,universal_class) -> equal(domain_of(image(u,v)),identity_relation)**.
% 299.72/300.40  195429[17:MRR:195337.1,5.0] || member(u,universal_class) -> equal(u,identity_relation) equal(domain_of(apply(choice,u)),identity_relation)**.
% 299.72/300.40  196079[17:Res:66.2,195164.0] function(u) || member(v,universal_class) -> equal(cantor(image(u,v)),identity_relation)**.
% 299.72/300.40  196135[17:MRR:196108.1,5.0] || member(u,universal_class) -> equal(u,identity_relation) equal(cantor(apply(choice,u)),identity_relation)**.
% 299.72/300.40  196268[17:SpL:195307.1,122838.1] || subclass(rest_relation,rest_of(regular(u)))* well_ordering(universal_class,identity_relation) -> equal(u,identity_relation).
% 299.72/300.40  196333[17:SpR:195325.1,120682.0] ||  -> equal(integer_of(cross_product(u,singleton(v))),identity_relation)** equal(segment(universal_class,u,v),identity_relation).
% 299.72/300.40  196347[17:SpL:195325.1,122838.1] || subclass(rest_relation,rest_of(u))* well_ordering(universal_class,identity_relation) -> equal(integer_of(u),identity_relation).
% 299.72/300.40  196423[17:SpR:195326.1,120682.0] ||  -> equal(singleton(cross_product(u,singleton(v))),identity_relation)** equal(segment(universal_class,u,v),identity_relation).
% 299.72/300.40  196437[17:SpL:195326.1,122838.1] || subclass(rest_relation,rest_of(u))* well_ordering(universal_class,identity_relation) -> equal(singleton(u),identity_relation).
% 299.72/300.40  196972[17:SpR:69.0,195305.1] || member(image(u,singleton(v)),universal_class)* -> equal(domain_of(apply(u,v)),identity_relation).
% 299.72/300.40  197086[17:SpR:69.0,196075.1] || member(image(u,singleton(v)),universal_class)* -> equal(cantor(apply(u,v)),identity_relation).
% 299.72/300.40  197295[17:Rew:22454.0,197209.1] ||  -> equal(range_of(u),identity_relation) subclass(symmetric_difference(complement(inverse(u)),universal_class),successor(inverse(u)))*.
% 299.72/300.40  197298[17:Rew:119684.0,197210.1,22454.0,197210.1] ||  -> equal(range_of(u),identity_relation) subclass(complement(successor(inverse(u))),symmetric_difference(universal_class,inverse(u)))*.
% 299.72/300.40  197739[17:SpL:120676.0,195220.1] || member(cross_product(u,universal_class),universal_class)* equal(sum_class(image(universal_class,u)),identity_relation) -> .
% 299.72/300.40  198060[17:Res:195614.1,119659.0] || subclass(domain_relation,symmetric_difference(universal_class,u)) member(singleton(singleton(singleton(identity_relation))),u)* -> .
% 299.72/300.40  198061[17:Res:195614.1,119626.0] || subclass(domain_relation,symmetric_difference(universal_class,u)) -> member(singleton(singleton(singleton(identity_relation))),complement(u))*.
% 299.72/300.40  198072[17:Res:195614.1,596.0] || subclass(domain_relation,restrict(u,v,w))* -> member(singleton(singleton(singleton(identity_relation))),u)*.
% 299.72/300.40  198601[7:Res:106230.1,125680.1] || equal(complement(sum_class(singleton(identity_relation))),singleton(identity_relation))** -> equal(sum_class(singleton(identity_relation)),identity_relation).
% 299.72/300.40  198915[5:Res:164613.0,5229.1] inductive(symmetric_difference(complement(u),symmetric_difference(universal_class,u))) ||  -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  198927[5:Rew:25601.0,198882.0] ||  -> subclass(symmetric_difference(complement(intersection(u,universal_class)),symmetric_difference(u,universal_class)),complement(symmetric_difference(u,universal_class)))*.
% 299.72/300.40  199002[7:SpL:22914.0,125684.0] || equal(symmetric_difference(complement(u),universal_class),singleton(identity_relation)) -> member(identity_relation,union(u,identity_relation))*.
% 299.72/300.40  199004[7:SpL:160.0,125684.0] || equal(symmetric_difference(u,v),singleton(identity_relation)) -> member(identity_relation,complement(intersection(u,v)))*.
% 299.72/300.40  199270[15:Res:106230.1,199206.0] || well_ordering(universal_class,sum_class(singleton(singleton(identity_relation))))* -> equal(sum_class(singleton(singleton(identity_relation))),identity_relation).
% 299.72/300.40  199405[12:SpR:120676.0,192415.1] || member(cross_product(u,universal_class),universal_class) -> member(identity_relation,ordered_pair(image(universal_class,u),v))*.
% 299.72/300.40  199414[12:Res:192415.1,125680.1] || member(u,universal_class) equal(complement(ordered_pair(range_of(u),v)),singleton(identity_relation))** -> .
% 299.72/300.40  200069[17:SpL:168482.0,196835.1] function(recursion(u,successor_relation,identity_relation)) || equal(rest_of(ordinal_add(u,v)),rest_relation)** -> .
% 299.72/300.40  200082[17:Res:197207.1,125680.1] || equal(complement(ordered_pair(inverse(u),v)),singleton(identity_relation))** -> equal(range_of(u),identity_relation).
% 299.72/300.40  200247[5:SpR:114191.0,145868.1] || subclass(singleton(u),singleton(v))* -> equal(u,v) equal(singleton(u),identity_relation).
% 299.72/300.40  200295[5:MRR:200252.3,5188.0] || member(u,singleton(v))* member(u,singleton(w))* -> equal(v,w)*.
% 299.72/300.40  200517[15:Res:86994.1,191991.0] || equal(cantor(inverse(u)),ordered_pair(range_of(identity_relation),v))* -> member(identity_relation,range_of(u))*.
% 299.72/300.40  200532[15:Res:86994.1,191968.0] || equal(cantor(inverse(u)),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),range_of(u))*.
% 299.72/300.40  200571[17:Res:195614.1,610.0] || subclass(domain_relation,cantor(inverse(u))) -> member(singleton(singleton(singleton(identity_relation))),range_of(u))*.
% 299.72/300.40  200618[7:Res:29474.1,125680.1] || member(identity_relation,range_of(u)) equal(complement(cantor(inverse(u))),singleton(identity_relation))** -> .
% 299.72/300.40  200712[5:SpR:200704.1,647.0] || equal(u,universal_class) -> inductive(u) equal(ordered_pair(identity_relation,u),singleton(singleton(identity_relation)))**.
% 299.72/300.40  200749[5:SpR:200704.1,648.0] || equal(u,universal_class) -> inductive(u) member(unordered_pair(v,identity_relation),ordered_pair(v,u))*.
% 299.72/300.40  200939[5:Rew:22454.0,200717.2] || equal(u,universal_class) -> inductive(u) subclass(symmetric_difference(complement(u),universal_class),successor(u))*.
% 299.72/300.40  200942[5:Rew:119684.0,200718.2,22454.0,200718.2] || equal(u,universal_class) -> inductive(u) subclass(complement(successor(u)),symmetric_difference(universal_class,u))*.
% 299.72/300.40  201058[5:Res:29531.1,200936.1] || equal(not_subclass_element(u,v),universal_class) -> subclass(u,v) inductive(not_subclass_element(u,v))*.
% 299.72/300.40  201258[15:Res:86994.1,201232.0] || equal(cantor(inverse(u)),singleton(singleton(identity_relation))) well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.40  201397[5:Res:146221.1,5229.1] inductive(symmetric_difference(u,v)) || subclass(v,u)* -> member(identity_relation,complement(v))*.
% 299.72/300.40  201777[5:SpR:27.0,201674.1] || subclass(intersection(complement(u),complement(v)),identity_relation)* -> subclass(universal_class,union(u,v)).
% 299.72/300.40  201787[7:SpR:189471.0,201674.1] || subclass(image(element_relation,singleton(identity_relation)),identity_relation)* -> subclass(universal_class,power_class(complement(singleton(identity_relation)))).
% 299.72/300.40  202140[5:SpL:5338.1,201805.0] || subclass(singleton(regular(cross_product(u,v))),identity_relation)* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  202150[5:MRR:198762.2,202145.0] || member(u,universal_class) subclass(rest_relation,complement(singleton(ordered_pair(u,rest_of(u)))))* -> .
% 299.72/300.40  202436[5:MRR:202386.0,5265.0] || subclass(intersection(complement(u),complement(v)),identity_relation)* -> member(identity_relation,union(u,v)).
% 299.72/300.40  202626[5:MRR:202603.0,53.0] || subclass(intersection(complement(u),complement(v)),identity_relation)* -> member(omega,union(u,v)).
% 299.72/300.40  202917[5:SpR:202351.1,27.0] || equal(intersection(complement(u),complement(v)),identity_relation)** -> equal(union(u,v),universal_class).
% 299.72/300.40  202966[7:SpR:202351.1,189471.0] || equal(image(element_relation,singleton(identity_relation)),identity_relation)** -> equal(power_class(complement(singleton(identity_relation))),universal_class).
% 299.72/300.40  203258[5:MRR:28310.3,203257.1] || equal(sum_class(u),identity_relation) well_ordering(v,u)* -> subclass(sum_class(u),w)*.
% 299.72/300.40  203322[5:Rew:118446.0,202911.1] || equal(intersection(u,v),identity_relation)** -> equal(symmetric_difference(u,v),union(u,v)).
% 299.72/300.40  203514[7:SpL:27.0,202413.0] || subclass(union(u,v),identity_relation) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.72/300.40  203524[7:SpL:189471.0,202413.0] || subclass(power_class(complement(singleton(identity_relation))),identity_relation) -> member(identity_relation,image(element_relation,singleton(identity_relation)))*.
% 299.72/300.40  203591[5:SpL:27.0,202624.0] || subclass(union(u,v),identity_relation) -> member(omega,intersection(complement(u),complement(v)))*.
% 299.72/300.40  203601[7:SpL:189471.0,202624.0] || subclass(power_class(complement(singleton(identity_relation))),identity_relation) -> member(omega,image(element_relation,singleton(identity_relation)))*.
% 299.72/300.40  204059[5:Res:203246.1,595.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(identity_relation,cross_product(v,w)).
% 299.72/300.40  204130[5:Res:203247.1,595.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(omega,cross_product(v,w)).
% 299.72/300.40  204189[5:SpL:27.0,203645.0] || equal(union(u,v),identity_relation) -> equal(intersection(complement(u),complement(v)),universal_class)**.
% 299.72/300.40  204199[7:SpL:189471.0,203645.0] || equal(power_class(complement(singleton(identity_relation))),identity_relation) -> equal(image(element_relation,singleton(identity_relation)),universal_class)**.
% 299.72/300.40  205029[5:SpR:203228.1,203228.1] || equal(identity_relation,u) equal(identity_relation,v) -> equal(power_class(u),power_class(v))*.
% 299.72/300.40  205296[5:Res:205150.1,8165.1] || subclass(universal_class,intersection(u,v)) member(power_class(identity_relation),symmetric_difference(u,v))* -> .
% 299.72/300.40  205319[5:Res:205150.1,595.0] || subclass(universal_class,restrict(u,v,w))* -> member(power_class(identity_relation),cross_product(v,w))*.
% 299.72/300.40  205323[5:Res:205150.1,5405.0] || subclass(universal_class,regular(u)) member(power_class(identity_relation),u)* -> equal(u,identity_relation).
% 299.72/300.40  206367[5:Res:201827.1,2.0] || subclass(complement(u),identity_relation)* subclass(u,v)* -> member(singleton(w),v)*.
% 299.72/300.40  206378[5:Res:201827.1,944.0] || subclass(complement(symmetric_difference(u,v)),identity_relation) -> member(singleton(w),union(u,v))*.
% 299.72/300.40  206379[5:Res:201827.1,8898.0] || subclass(complement(symmetric_difference(u,singleton(u))),identity_relation)* -> member(singleton(v),successor(u))*.
% 299.72/300.40  206470[5:EmS:5373.0,5373.1,73.1,166139.1] one_to_one(u) || equal(inverse(u),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.40  206665[5:Res:203299.1,2.0] || equal(complement(u),identity_relation) subclass(u,v)* -> member(singleton(w),v)*.
% 299.72/300.40  206676[5:Res:203299.1,944.0] || equal(complement(symmetric_difference(u,v)),identity_relation) -> member(singleton(w),union(u,v))*.
% 299.72/300.40  206677[5:Res:203299.1,8898.0] || equal(complement(symmetric_difference(u,singleton(u))),identity_relation)** -> member(singleton(v),successor(u))*.
% 299.72/300.40  206724[5:Rew:27.0,206674.0] || equal(union(u,v),identity_relation) member(singleton(w),union(u,v))* -> .
% 299.72/300.40  206859[5:SpR:204330.1,941.0] || equal(union(u,v),identity_relation) -> equal(symmetric_difference(complement(u),complement(v)),identity_relation)**.
% 299.72/300.40  207240[5:SpR:204745.1,941.0] || subclass(union(u,v),identity_relation) -> equal(symmetric_difference(complement(u),complement(v)),identity_relation)**.
% 299.72/300.40  208423[5:Rew:118447.0,208400.1] || member(unordered_pair(u,v),complement(w))* subclass(universal_class,union(w,identity_relation)) -> .
% 299.72/300.40  209245[15:SpR:208959.1,123.0] function(restrict(u,v,singleton(w))) ||  -> equal(segment(u,v,w),universal_class)**.
% 299.72/300.40  209490[17:SoR:209309.0,4792.2] single_valued_class(unordered_pair(u,v)) || equal(cross_product(universal_class,universal_class),unordered_pair(u,v))* -> .
% 299.72/300.40  209494[17:SoR:209311.0,4792.2] single_valued_class(ordered_pair(u,v)) || equal(cross_product(universal_class,universal_class),ordered_pair(u,v))* -> .
% 299.72/300.40  209578[17:SoR:209318.0,8479.2] single_valued_class(regular(complement(power_class(identity_relation)))) || equal(regular(complement(power_class(identity_relation))),identity_relation)** -> .
% 299.72/300.40  209586[17:SoR:209319.0,8479.2] single_valued_class(regular(complement(power_class(universal_class)))) || equal(regular(complement(power_class(universal_class))),identity_relation)** -> .
% 299.72/300.40  209757[17:SpR:209320.1,14.0] function(u) ||  -> equal(unordered_pair(identity_relation,unordered_pair(u,singleton(v))),ordered_pair(u,v))**.
% 299.72/300.40  210179[15:SoR:209261.0,8479.2] single_valued_class(inverse(u)) || equal(inverse(u),identity_relation) -> equal(range_of(u),universal_class)**.
% 299.72/300.40  210263[15:SpL:210176.1,168534.1] one_to_one(u) || member(u,universal_class)* equal(rest_of(u),sum_class(universal_class)) -> .
% 299.72/300.40  210288[17:SoR:209429.0,8479.2] single_valued_class(sum_class(u)) || member(u,universal_class)* equal(sum_class(u),identity_relation) -> .
% 299.72/300.40  210291[17:SoR:209432.0,8479.2] single_valued_class(power_class(u)) || equal(identity_relation,u) equal(power_class(u),identity_relation)** -> .
% 299.72/300.40  210294[17:SoR:209433.0,8479.2] single_valued_class(power_class(u)) || member(u,universal_class)* equal(power_class(u),identity_relation) -> .
% 299.72/300.40  210707[5:Res:203299.1,8834.0] || equal(complement(symmetric_difference(u,inverse(u))),identity_relation)** -> member(singleton(v),symmetrization_of(u))*.
% 299.72/300.40  210708[5:Res:201827.1,8834.0] || subclass(complement(symmetric_difference(u,inverse(u))),identity_relation)* -> member(singleton(v),symmetrization_of(u))*.
% 299.72/300.40  210890[5:Res:5214.2,208753.0] || subclass(u,rest_of(regular(u)))* subclass(element_relation,identity_relation) -> equal(u,identity_relation).
% 299.72/300.40  210898[5:Res:5288.2,208753.0] || subclass(omega,rest_of(u))* subclass(element_relation,identity_relation) -> equal(integer_of(u),identity_relation).
% 299.72/300.40  210966[17:Rew:119684.0,210941.1,22454.0,210941.1] function(u) ||  -> equal(complement(image(element_relation,successor(u))),power_class(symmetric_difference(universal_class,u)))**.
% 299.72/300.40  210975[17:Res:210402.1,2.0] one_to_one(u) || subclass(ordered_pair(inverse(u),v),w)* -> member(identity_relation,w).
% 299.72/300.40  211328[5:SpR:204195.1,94300.0] || equal(power_class(identity_relation),identity_relation) -> subclass(complement(power_class(universal_class)),image(element_relation,power_class(identity_relation)))*.
% 299.72/300.40  201785[5:SpR:122494.0,201674.1] || subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation)* -> subclass(universal_class,power_class(complement(inverse(identity_relation)))).
% 299.72/300.40  204197[5:SpL:122494.0,203645.0] || equal(power_class(complement(inverse(identity_relation))),identity_relation) -> equal(image(element_relation,symmetrization_of(identity_relation)),universal_class)**.
% 299.72/300.40  203599[5:SpL:122494.0,202624.0] || subclass(power_class(complement(inverse(identity_relation))),identity_relation) -> member(omega,image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.40  179032[5:SpR:122494.0,162506.1] ||  -> member(u,image(element_relation,symmetrization_of(identity_relation))) subclass(singleton(u),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.40  179008[5:SpR:122494.0,22542.0] ||  -> subclass(symmetric_difference(power_class(complement(inverse(identity_relation))),universal_class),union(image(element_relation,symmetrization_of(identity_relation)),identity_relation))*.
% 299.72/300.40  179045[5:SpL:122494.0,165324.0] || equal(power_class(complement(inverse(identity_relation))),universal_class) -> equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation)**.
% 299.72/300.40  202964[5:SpR:202351.1,122494.0] || equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation)** -> equal(power_class(complement(inverse(identity_relation))),universal_class).
% 299.72/300.40  179060[7:SpL:122494.0,176819.0] || well_ordering(universal_class,power_class(complement(inverse(identity_relation))))* -> member(identity_relation,image(element_relation,symmetrization_of(identity_relation))).
% 299.72/300.40  179095[5:Res:124791.0,5229.1] inductive(complement(power_class(complement(inverse(identity_relation))))) ||  -> member(identity_relation,image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.40  203522[7:SpL:122494.0,202413.0] || subclass(power_class(complement(inverse(identity_relation))),identity_relation) -> member(identity_relation,image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.40  179007[5:SpR:122494.0,119684.0] ||  -> equal(intersection(power_class(complement(inverse(identity_relation))),universal_class),symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))))**.
% 299.72/300.40  178973[5:SpL:25719.0,119659.0] || member(u,intersection(symmetrization_of(identity_relation),universal_class))* member(u,complement(inverse(identity_relation))) -> .
% 299.72/300.40  124248[5:Rew:124149.0,124234.1] || member(not_subclass_element(symmetrization_of(identity_relation),u),complement(inverse(identity_relation)))* -> subclass(symmetrization_of(identity_relation),u).
% 299.72/300.40  124220[5:SpR:124149.0,9005.0] ||  -> subclass(symmetric_difference(symmetrization_of(identity_relation),complement(singleton(complement(inverse(identity_relation))))),successor(complement(inverse(identity_relation))))*.
% 299.72/300.40  124219[5:SpR:124149.0,9004.0] ||  -> subclass(symmetric_difference(symmetrization_of(identity_relation),complement(inverse(complement(inverse(identity_relation))))),symmetrization_of(complement(inverse(identity_relation))))*.
% 299.72/300.40  209574[17:SoR:209317.0,8479.2] single_valued_class(regular(complement(symmetrization_of(identity_relation)))) || equal(regular(complement(symmetrization_of(identity_relation))),identity_relation)** -> .
% 299.72/300.40  179070[14:SpL:122494.0,178302.1] inductive(image(element_relation,symmetrization_of(identity_relation))) || equal(power_class(complement(inverse(identity_relation))),omega)** -> .
% 299.72/300.40  179049[5:SpL:122494.0,3957.1] inductive(image(element_relation,symmetrization_of(identity_relation))) || equal(power_class(complement(inverse(identity_relation))),universal_class)** -> .
% 299.72/300.40  191647[15:MRR:179089.2,191629.0] single_valued_class(image(element_relation,symmetrization_of(identity_relation))) || equal(power_class(complement(inverse(identity_relation))),universal_class)** -> .
% 299.72/300.40  210544[17:Rew:210378.1,210465.2] one_to_one(u) || member(singleton(singleton(identity_relation)),element_relation)* -> member(identity_relation,inverse(u))*.
% 299.72/300.40  212346[20:MRR:180212.2,212333.0] || member(symmetrization_of(identity_relation),universal_class) -> subclass(singleton(apply(choice,symmetrization_of(identity_relation))),symmetrization_of(identity_relation))*.
% 299.72/300.40  212547[20:SoR:212514.0,4792.2] single_valued_class(regular(symmetrization_of(identity_relation))) || equal(cross_product(universal_class,universal_class),regular(symmetrization_of(identity_relation)))** -> .
% 299.72/300.40  212550[17:SoR:212530.0,4792.2] single_valued_class(least(element_relation,omega)) || equal(least(element_relation,omega),cross_product(universal_class,universal_class))** -> .
% 299.72/300.40  213083[17:Res:205098.1,195221.0] || equal(identity_relation,u) subclass(rest_relation,domain_relation) -> equal(rest_of(power_class(u)),identity_relation)**.
% 299.72/300.40  213084[17:Res:57.1,195221.0] || member(u,universal_class) subclass(rest_relation,domain_relation) -> equal(rest_of(power_class(u)),identity_relation)**.
% 299.72/300.40  213086[17:Res:29531.1,195221.0] || subclass(rest_relation,domain_relation) -> subclass(u,v) equal(rest_of(not_subclass_element(u,v)),identity_relation)**.
% 299.72/300.40  213088[17:Res:55.1,195221.0] || member(u,universal_class) subclass(rest_relation,domain_relation) -> equal(rest_of(sum_class(u)),identity_relation)**.
% 299.72/300.40  213091[17:Res:7512.1,195221.0] function(u) || subclass(rest_relation,domain_relation) -> equal(rest_of(apply(u,v)),identity_relation)**.
% 299.72/300.40  213259[17:Res:205098.1,195222.0] || equal(identity_relation,u) subclass(domain_relation,rest_relation) -> equal(rest_of(power_class(u)),identity_relation)**.
% 299.72/300.40  213260[17:Res:57.1,195222.0] || member(u,universal_class) subclass(domain_relation,rest_relation) -> equal(rest_of(power_class(u)),identity_relation)**.
% 299.72/300.40  213262[17:Res:29531.1,195222.0] || subclass(domain_relation,rest_relation) -> subclass(u,v) equal(rest_of(not_subclass_element(u,v)),identity_relation)**.
% 299.72/300.40  213264[17:Res:55.1,195222.0] || member(u,universal_class) subclass(domain_relation,rest_relation) -> equal(rest_of(sum_class(u)),identity_relation)**.
% 299.72/300.40  213267[17:Res:7512.1,195222.0] function(u) || subclass(domain_relation,rest_relation) -> equal(rest_of(apply(u,v)),identity_relation)**.
% 299.72/300.40  213569[5:Obv:213559.2] || subclass(universal_class,u) member(omega,singleton(u))* -> equal(singleton(u),identity_relation).
% 299.72/300.40  213839[17:SpR:647.0,195387.1] || subclass(domain_relation,rotate(u)) -> member(ordered_pair(singleton(singleton(singleton(identity_relation))),v),u)*.
% 299.72/300.40  213850[17:Res:195387.1,1054.0] || subclass(domain_relation,rotate(singleton(u)))* -> equal(ordered_pair(ordered_pair(v,identity_relation),w),u)*.
% 299.72/300.40  213892[17:Res:195387.1,94.0] || subclass(domain_relation,rotate(compose_class(u))) -> equal(compose(u,ordered_pair(v,identity_relation)),w)*.
% 299.72/300.40  213911[17:Res:195387.1,37.0] || subclass(domain_relation,rotate(flip(u))) -> member(ordered_pair(ordered_pair(identity_relation,v),w),u)*.
% 299.72/300.40  213912[17:Res:195387.1,34.0] || subclass(domain_relation,rotate(rotate(u))) -> member(ordered_pair(ordered_pair(identity_relation,v),w),u)*.
% 299.72/300.40  213938[17:SpR:647.0,195388.1] || subclass(domain_relation,flip(u)) -> member(ordered_pair(singleton(singleton(singleton(v))),identity_relation),u)*.
% 299.72/300.40  213952[17:Res:195388.1,1054.0] || subclass(domain_relation,flip(singleton(u)))* -> equal(ordered_pair(ordered_pair(v,w),identity_relation),u)*.
% 299.72/300.40  213994[17:Res:195388.1,94.0] || subclass(domain_relation,flip(compose_class(u))) -> equal(compose(u,ordered_pair(v,w)),identity_relation)**.
% 299.72/300.40  214007[17:Res:195388.1,37.0] || subclass(domain_relation,flip(flip(u))) -> member(ordered_pair(ordered_pair(v,w),identity_relation),u)*.
% 299.72/300.40  214008[17:Res:195388.1,34.0] || subclass(domain_relation,flip(rotate(u))) -> member(ordered_pair(ordered_pair(v,identity_relation),w),u)*.
% 299.72/300.40  214359[17:MRR:214316.1,53.0] || equal(domain_relation,rest_relation) subclass(rest_relation,u) -> member(ordered_pair(omega,identity_relation),u)*.
% 299.72/300.40  214467[15:SpL:191663.0,801.0] || member(singleton(singleton(identity_relation)),cross_product(u,v))* -> member(sum_class(range_of(identity_relation)),v).
% 299.72/300.40  214720[5:Res:203299.1,3924.0] || equal(complement(u),identity_relation) subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  214721[5:Res:201827.1,3924.0] || subclass(complement(u),identity_relation)* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  214769[17:Res:195387.1,3924.0] || subclass(domain_relation,rotate(u))* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  214783[17:Res:195388.1,3924.0] || subclass(domain_relation,flip(u))* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  214802[0:Res:122840.1,3924.0] || well_ordering(universal_class,complement(u))* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  214804[15:Res:194012.1,3924.0] || subclass(complement(u),v)* well_ordering(universal_class,v) -> member(singleton(identity_relation),u)*.
% 299.72/300.40  214972[4:Res:212361.1,2.0] || subclass(omega,u)* subclass(u,v)* -> member(least(element_relation,omega),v)*.
% 299.72/300.40  214983[4:Res:212361.1,944.0] || subclass(omega,symmetric_difference(u,v)) -> member(least(element_relation,omega),union(u,v))*.
% 299.72/300.40  214984[4:Res:212361.1,8898.0] || subclass(omega,symmetric_difference(u,singleton(u)))* -> member(least(element_relation,omega),successor(u))*.
% 299.72/300.40  214987[4:Res:212361.1,8834.0] || subclass(omega,symmetric_difference(u,inverse(u)))* -> member(least(element_relation,omega),symmetrization_of(u))*.
% 299.72/300.40  215121[20:Res:212523.1,2.0] || subclass(universal_class,u)* subclass(u,v)* -> member(regular(symmetrization_of(identity_relation)),v)*.
% 299.72/300.40  215132[20:Res:212523.1,944.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(regular(symmetrization_of(identity_relation)),union(u,v))*.
% 299.72/300.40  215133[20:Res:212523.1,8898.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(regular(symmetrization_of(identity_relation)),successor(u))*.
% 299.72/300.40  215136[20:Res:212523.1,8834.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(regular(symmetrization_of(identity_relation)),symmetrization_of(u))*.
% 299.72/300.40  215202[5:Res:202851.1,1006.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(unordered_pair(x,y),u)*.
% 299.72/300.40  215229[4:Res:212539.1,2.0] || subclass(universal_class,u)* subclass(u,v)* -> member(least(element_relation,omega),v)*.
% 299.72/300.40  215240[4:Res:212539.1,944.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(least(element_relation,omega),union(u,v))*.
% 299.72/300.40  215241[4:Res:212539.1,8898.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(least(element_relation,omega),successor(u))*.
% 299.72/300.40  215244[4:Res:212539.1,8834.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(least(element_relation,omega),symmetrization_of(u))*.
% 299.72/300.40  215305[5:SpR:5433.1,160697.0] || well_ordering(universal_class,u) -> subclass(cantor(cross_product(u,singleton(least(universal_class,u)))),identity_relation)*.
% 299.72/300.40  215530[5:Res:123649.1,126410.0] ||  -> equal(integer_of(cross_product(universal_class,cross_product(universal_class,universal_class))),identity_relation)** member(least(element_relation,composition_function),composition_function).
% 299.72/300.40  215531[5:Res:16080.1,126410.0] ||  -> equal(singleton(cross_product(universal_class,cross_product(universal_class,universal_class))),identity_relation)** member(least(element_relation,composition_function),composition_function).
% 299.72/300.40  215990[5:SpR:203228.1,215987.1] || equal(identity_relation,u) equal(power_class(identity_relation),identity_relation) -> subclass(power_class(u),v)*.
% 299.72/300.40  216026[5:SpR:203228.1,216009.1] || equal(identity_relation,u) equal(power_class(identity_relation),identity_relation) -> asymmetric(power_class(u),v)*.
% 299.72/300.40  216223[5:Res:123649.1,23342.0] || subclass(rest_relation,successor_relation)* -> equal(integer_of(u),identity_relation)** equal(rest_of(u),successor(u)).
% 299.72/300.40  216251[20:Res:212353.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(regular(symmetrization_of(identity_relation))),successor(regular(symmetrization_of(identity_relation))))**.
% 299.72/300.40  216265[4:Res:212362.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(least(element_relation,omega)),successor(least(element_relation,omega)))**.
% 299.72/300.40  216481[17:Res:216461.1,2.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) -> member(ordered_pair(identity_relation,identity_relation),u)*.
% 299.72/300.40  216544[5:SpR:204745.1,8659.0] || subclass(complement(u),identity_relation) -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(identity_relation))**.
% 299.72/300.40  216673[5:SpR:204745.1,8660.0] || subclass(complement(u),identity_relation) -> equal(complement(image(element_relation,successor(u))),power_class(identity_relation))**.
% 299.72/300.40  216728[7:SpL:25601.0,202420.0] || subclass(complement(symmetric_difference(u,universal_class)),identity_relation) -> member(identity_relation,complement(intersection(u,universal_class)))*.
% 299.72/300.40  216731[15:SpL:191858.0,202420.0] || subclass(successor(sum_class(range_of(identity_relation))),identity_relation) -> member(identity_relation,complement(sum_class(range_of(identity_relation))))*.
% 299.72/300.40  216746[7:SpL:25601.0,202421.1] || member(identity_relation,intersection(u,universal_class)) subclass(complement(symmetric_difference(u,universal_class)),identity_relation)* -> .
% 299.72/300.40  216749[15:SpL:191858.0,202421.1] || member(identity_relation,sum_class(range_of(identity_relation))) subclass(successor(sum_class(range_of(identity_relation))),identity_relation)* -> .
% 299.72/300.40  217146[5:Res:20366.2,208585.0] || member(u,universal_class) subclass(rest_relation,rest_of(u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.40  217172[17:MRR:217101.3,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(v))* -> equal(singleton(v),identity_relation).
% 299.72/300.40  217173[17:MRR:217102.3,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(v))* -> equal(integer_of(v),identity_relation).
% 299.72/300.40  217174[17:MRR:217119.3,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(regular(v)))* -> equal(v,identity_relation).
% 299.72/300.40  217445[5:SpL:25601.0,203759.0] || equal(complement(symmetric_difference(u,universal_class)),identity_relation) member(identity_relation,intersection(u,universal_class))* -> .
% 299.72/300.40  217511[5:Rew:122627.0,217475.0] || equal(complement(symmetric_difference(complement(u),universal_class)),identity_relation)** -> member(identity_relation,union(u,identity_relation)).
% 299.72/300.40  217501[7:Res:203760.1,125680.1] || equal(union(u,identity_relation),identity_relation)** equal(complement(complement(u)),singleton(identity_relation)) -> .
% 299.72/300.40  217533[5:SpL:25601.0,203761.0] || equal(complement(symmetric_difference(u,universal_class)),identity_relation) member(omega,intersection(u,universal_class))* -> .
% 299.72/300.40  217583[5:Rew:122627.0,217548.0] || equal(complement(symmetric_difference(complement(u),universal_class)),identity_relation)** -> member(omega,union(u,identity_relation)).
% 299.72/300.40  217770[5:Rew:22454.0,217689.1] || subclass(union(u,identity_relation),identity_relation) -> equal(union(v,symmetric_difference(universal_class,u)),universal_class)**.
% 299.72/300.40  217901[5:Res:7.1,5360.0] || equal(complement(u),omega) member(v,u)* -> equal(integer_of(v),identity_relation).
% 299.72/300.40  218095[5:Res:117277.0,205293.1] || subclass(universal_class,complement(inverse(singleton(power_class(identity_relation)))))* -> asymmetric(singleton(power_class(identity_relation)),u)*.
% 299.72/300.40  218096[5:Res:29474.1,205293.1] || member(power_class(identity_relation),range_of(u)) subclass(universal_class,complement(cantor(inverse(u))))* -> .
% 299.72/300.40  218157[5:Obv:218152.1] || subclass(singleton(u),omega)* -> equal(singleton(u),identity_relation) equal(integer_of(u),u).
% 299.72/300.40  218366[5:Rew:22454.0,218285.1] || subclass(union(u,identity_relation),identity_relation) -> equal(union(symmetric_difference(universal_class,u),v),universal_class)**.
% 299.72/300.40  218427[5:SpL:203228.1,218132.0] || equal(identity_relation,u) equal(complement(complement(unordered_pair(power_class(u),v))),identity_relation)** -> .
% 299.72/300.40  218435[5:SpL:203228.1,218167.0] || equal(identity_relation,u) equal(complement(complement(unordered_pair(v,power_class(u)))),identity_relation)** -> .
% 299.72/300.40  218852[5:SpL:120676.0,205967.0] || subclass(image(universal_class,u),identity_relation) -> equal(cantor(inverse(cross_product(u,universal_class))),identity_relation)**.
% 299.72/300.40  219016[5:SpR:206847.1,126709.0] || equal(complement(cantor(inverse(u))),identity_relation) -> equal(symmetric_difference(range_of(u),universal_class),identity_relation)**.
% 299.72/300.40  219328[5:MRR:219298.3,5188.0] || subclass(complement(u),identity_relation) member(v,universal_class) -> member(v,successor(u))*.
% 299.72/300.40  219367[5:Res:219313.1,2.0] || subclass(complement(u),identity_relation)* subclass(successor(u),v)* -> member(omega,v).
% 299.72/300.40  219381[7:Res:219314.1,2.0] || subclass(complement(u),identity_relation)* subclass(successor(u),v)* -> member(identity_relation,v).
% 299.72/300.40  219431[5:MRR:219402.3,5188.0] || subclass(complement(u),identity_relation) member(v,universal_class) -> member(v,symmetrization_of(u))*.
% 299.72/300.40  219439[5:Res:219417.1,2.0] || subclass(complement(u),identity_relation) subclass(symmetrization_of(u),v)* -> member(omega,v).
% 299.72/300.40  219486[5:Res:7.1,5466.0] || equal(intersection(u,v),omega)** -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.72/300.40  219496[7:Res:219418.1,2.0] || subclass(complement(u),identity_relation) subclass(symmetrization_of(u),v)* -> member(identity_relation,v).
% 299.72/300.40  219583[11:Res:207964.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(regular(complement(power_class(identity_relation))),u)* -> .
% 299.72/300.40  219584[11:Res:207964.1,119626.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(regular(complement(power_class(identity_relation))),complement(u))*.
% 299.72/300.40  219593[11:Res:207964.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(regular(complement(power_class(identity_relation))),range_of(u))*.
% 299.72/300.40  219595[11:Res:207964.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(regular(complement(power_class(identity_relation))),u)*.
% 299.72/300.40  219620[11:SpL:203228.1,219617.0] || equal(identity_relation,u) subclass(universal_class,complement(singleton(regular(complement(power_class(u))))))* -> .
% 299.72/300.40  219652[5:SpL:22519.0,5467.0] || subclass(omega,cantor(u)) -> equal(integer_of(v),identity_relation) member(v,domain_of(u))*.
% 299.72/300.40  219674[5:Res:7.1,5467.0] || equal(intersection(u,v),omega)** -> equal(integer_of(w),identity_relation) member(w,u)*.
% 299.72/300.40  219680[11:SpL:203228.1,219628.0] || equal(identity_relation,u) equal(complement(singleton(regular(complement(power_class(u))))),universal_class)** -> .
% 299.72/300.40  219735[10:Res:208146.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(regular(complement(power_class(universal_class))),u)* -> .
% 299.72/300.40  219736[10:Res:208146.1,119626.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(regular(complement(power_class(universal_class))),complement(u))*.
% 299.72/300.40  219745[10:Res:208146.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(regular(complement(power_class(universal_class))),range_of(u))*.
% 299.72/300.40  219747[10:Res:208146.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(regular(complement(power_class(universal_class))),u)*.
% 299.72/300.40  219818[5:SpL:120676.0,208638.0] || member(inverse(cross_product(u,universal_class)),image(universal_class,u))* subclass(element_relation,identity_relation) -> .
% 299.72/300.40  220374[5:Res:220369.1,1002.1] || member(unordered_pair(u,v),inverse(identity_relation))* subclass(universal_class,complement(symmetrization_of(identity_relation))) -> .
% 299.72/300.40  220381[5:Res:220369.1,2.0] || member(u,inverse(identity_relation))* subclass(symmetrization_of(identity_relation),v)* -> member(u,v)*.
% 299.72/300.40  220399[20:MRR:220394.2,212333.0] || member(regular(regular(symmetrization_of(identity_relation))),inverse(identity_relation))* -> equal(regular(symmetrization_of(identity_relation)),identity_relation).
% 299.72/300.40  220435[9:Res:207805.1,119659.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(regular(complement(symmetrization_of(identity_relation))),u)* -> .
% 299.72/300.40  220436[9:Res:207805.1,119626.0] || subclass(universal_class,symmetric_difference(universal_class,u)) -> member(regular(complement(symmetrization_of(identity_relation))),complement(u))*.
% 299.72/300.40  220445[9:Res:207805.1,610.0] || subclass(universal_class,cantor(inverse(u))) -> member(regular(complement(symmetrization_of(identity_relation))),range_of(u))*.
% 299.72/300.40  220447[9:Res:207805.1,596.0] || subclass(universal_class,restrict(u,v,w))* -> member(regular(complement(symmetrization_of(identity_relation))),u)*.
% 299.72/300.40  220617[20:Res:212352.1,3924.0] || subclass(inverse(identity_relation),u)* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  220637[20:Res:212352.1,119659.0] || subclass(inverse(identity_relation),symmetric_difference(universal_class,u))* member(regular(symmetrization_of(identity_relation)),u) -> .
% 299.72/300.40  220638[20:Res:212352.1,119626.0] || subclass(inverse(identity_relation),symmetric_difference(universal_class,u)) -> member(regular(symmetrization_of(identity_relation)),complement(u))*.
% 299.72/300.40  220639[20:Res:212352.1,158.0] || subclass(inverse(identity_relation),omega) -> equal(integer_of(regular(symmetrization_of(identity_relation))),regular(symmetrization_of(identity_relation)))**.
% 299.72/300.40  220648[20:Res:212352.1,610.0] || subclass(inverse(identity_relation),cantor(inverse(u))) -> member(regular(symmetrization_of(identity_relation)),range_of(u))*.
% 299.72/300.40  220650[20:Res:212352.1,596.0] || subclass(inverse(identity_relation),restrict(u,v,w))* -> member(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.40  220659[20:Res:212352.1,40810.0] || subclass(inverse(identity_relation),rest_of(regular(symmetrization_of(identity_relation))))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  221412[20:Res:214397.1,3924.0] || subclass(symmetrization_of(identity_relation),u)* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.40  221432[20:Res:214397.1,119659.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(universal_class,u))* member(regular(symmetrization_of(identity_relation)),u) -> .
% 299.72/300.40  221433[20:Res:214397.1,119626.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(universal_class,u)) -> member(regular(symmetrization_of(identity_relation)),complement(u))*.
% 299.72/300.40  221434[20:Res:214397.1,158.0] || subclass(symmetrization_of(identity_relation),omega) -> equal(integer_of(regular(symmetrization_of(identity_relation))),regular(symmetrization_of(identity_relation)))**.
% 299.72/300.40  221444[20:Res:214397.1,610.0] || subclass(symmetrization_of(identity_relation),cantor(inverse(u))) -> member(regular(symmetrization_of(identity_relation)),range_of(u))*.
% 299.72/300.40  221446[20:Res:214397.1,596.0] || subclass(symmetrization_of(identity_relation),restrict(u,v,w))* -> member(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.40  221455[20:Res:214397.1,40810.0] || subclass(symmetrization_of(identity_relation),rest_of(regular(symmetrization_of(identity_relation))))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  221533[5:Res:86317.0,5320.0] ||  -> equal(complement(successor(u)),identity_relation) member(regular(complement(successor(u))),complement(singleton(u)))*.
% 299.72/300.40  221534[5:Res:86316.0,5320.0] ||  -> equal(complement(symmetrization_of(u)),identity_relation) member(regular(complement(symmetrization_of(u))),complement(inverse(u)))*.
% 299.72/300.40  221782[9:Res:86994.1,214822.0] || equal(cantor(inverse(u)),complement(inverse(identity_relation))) well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.40  221836[16:Res:86994.1,214860.0] || equal(cantor(inverse(u)),successor(range_of(identity_relation))) well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.40  222178[5:SpL:222118.0,5321.0] || subclass(u,symmetrization_of(identity_relation)) -> equal(u,identity_relation) member(regular(u),inverse(identity_relation))*.
% 299.72/300.40  222294[5:Res:122671.0,222174.0] ||  -> subclass(u,complement(symmetrization_of(identity_relation))) member(not_subclass_element(u,complement(symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.72/300.40  222390[5:SpR:118447.0,222089.0] ||  -> equal(intersection(symmetric_difference(universal_class,u),complement(union(u,identity_relation))),complement(union(u,identity_relation)))**.
% 299.72/300.40  222422[5:SpL:222089.0,5467.0] || subclass(omega,complement(complement(u)))* -> equal(integer_of(v),identity_relation) member(v,u)*.
% 299.72/300.40  223065[5:SpL:118447.0,218119.0] || subclass(universal_class,complement(union(u,identity_relation))) -> member(power_class(identity_relation),symmetric_difference(universal_class,u))*.
% 299.72/300.40  223103[5:SpR:203228.1,223091.1] || equal(identity_relation,u) equal(complement(v),identity_relation) -> member(power_class(u),v)*.
% 299.72/300.40  223119[5:Res:223091.1,2.0] || equal(complement(u),identity_relation) subclass(u,v)* -> member(power_class(identity_relation),v)*.
% 299.72/300.40  223131[5:Res:223091.1,944.0] || equal(complement(symmetric_difference(u,v)),identity_relation) -> member(power_class(identity_relation),union(u,v))*.
% 299.72/300.40  223132[5:Res:223091.1,8898.0] || equal(complement(symmetric_difference(u,singleton(u))),identity_relation)** -> member(power_class(identity_relation),successor(u)).
% 299.72/300.40  223135[5:Res:223091.1,8834.0] || equal(complement(symmetric_difference(u,inverse(u))),identity_relation)** -> member(power_class(identity_relation),symmetrization_of(u)).
% 299.72/300.40  223183[5:Rew:27.0,223129.0] || equal(union(u,v),identity_relation) member(power_class(identity_relation),union(u,v))* -> .
% 299.72/300.40  224286[5:SpL:118447.0,219310.0] || subclass(union(u,identity_relation),identity_relation) -> equal(complement(successor(symmetric_difference(universal_class,u))),identity_relation)**.
% 299.72/300.40  224340[5:SpL:118447.0,219326.1] || equal(successor(symmetric_difference(universal_class,u)),identity_relation) subclass(union(u,identity_relation),identity_relation)* -> .
% 299.72/300.40  224376[5:SpL:118447.0,219370.0] || subclass(union(u,identity_relation),identity_relation) subclass(successor(symmetric_difference(universal_class,u)),identity_relation)* -> .
% 299.72/300.40  224462[5:SpL:118447.0,219414.0] || subclass(union(u,identity_relation),identity_relation) -> equal(complement(symmetrization_of(symmetric_difference(universal_class,u))),identity_relation)**.
% 299.72/300.40  224507[5:SpL:118447.0,219429.1] || equal(symmetrization_of(symmetric_difference(universal_class,u)),identity_relation) subclass(union(u,identity_relation),identity_relation)* -> .
% 299.72/300.40  224635[20:SpL:118447.0,220259.1] || subclass(universal_class,symmetric_difference(universal_class,u)) subclass(symmetrization_of(identity_relation),union(u,identity_relation))* -> .
% 299.72/300.40  224727[17:Res:195279.2,204710.1] || member(u,universal_class)* equal(successor(u),identity_relation) subclass(successor_relation,identity_relation) -> .
% 299.72/300.40  225002[5:SpR:222407.1,22914.0] || equal(complement(union(u,identity_relation)),identity_relation) -> equal(symmetric_difference(complement(u),universal_class),universal_class)**.
% 299.72/300.40  225112[5:SpL:118447.0,222523.0] || equal(complement(complement(union(u,identity_relation))),identity_relation)** -> member(identity_relation,symmetric_difference(universal_class,u)).
% 299.72/300.40  225145[5:SpL:118447.0,222635.0] || equal(complement(complement(union(u,identity_relation))),identity_relation)** -> member(omega,symmetric_difference(universal_class,u)).
% 299.72/300.40  225178[5:SpL:118447.0,222741.0] || equal(union(union(u,identity_relation),identity_relation),identity_relation)** -> member(omega,symmetric_difference(universal_class,u)).
% 299.72/300.40  225226[5:SpL:118447.0,222742.0] || equal(symmetric_difference(universal_class,union(u,identity_relation)),universal_class)** -> member(omega,symmetric_difference(universal_class,u)).
% 299.72/300.40  225254[5:SpL:118447.0,222758.0] || equal(union(union(u,identity_relation),identity_relation),identity_relation)** -> member(identity_relation,symmetric_difference(universal_class,u)).
% 299.72/300.40  225284[14:SpL:118447.0,222759.0] || equal(symmetric_difference(universal_class,union(u,identity_relation)),omega)** -> member(identity_relation,symmetric_difference(universal_class,u)).
% 299.72/300.40  225312[5:SpL:118447.0,222760.0] || equal(symmetric_difference(universal_class,union(u,identity_relation)),universal_class)** -> member(identity_relation,symmetric_difference(universal_class,u)).
% 299.72/300.40  225450[5:Res:223085.1,610.0] || equal(complement(complement(cantor(inverse(u)))),universal_class)** -> member(power_class(identity_relation),range_of(u)).
% 299.72/300.40  225452[5:Res:223085.1,596.0] || equal(complement(complement(restrict(u,v,w))),universal_class)** -> member(power_class(identity_relation),u).
% 299.72/300.40  225461[5:Res:223085.1,40810.0] || equal(complement(complement(rest_of(power_class(identity_relation)))),universal_class)** subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.40  225490[5:SpL:203228.1,225483.0] || equal(identity_relation,u) equal(complement(complement(complement(singleton(power_class(u))))),universal_class)** -> .
% 299.72/300.40  226054[20:SpL:118447.0,225873.1] || equal(symmetric_difference(universal_class,u),universal_class)** equal(union(u,identity_relation),symmetrization_of(identity_relation)) -> .
% 299.72/300.40  226144[5:SpL:160.0,203648.0] || equal(complement(symmetric_difference(u,v)),identity_relation) -> member(identity_relation,complement(intersection(u,v)))*.
% 299.72/300.40  226167[5:SpL:122708.0,203648.0] || equal(union(symmetric_difference(universal_class,u),v),identity_relation)** -> member(identity_relation,union(u,identity_relation)).
% 299.72/300.40  226233[11:SpL:203228.1,226219.0] || equal(identity_relation,u) equal(complement(intersection(power_class(u),power_class(v))),identity_relation)** -> .
% 299.72/300.40  226297[17:SoR:226276.0,8479.2] single_valued_class(rest_of(u)) || member(u,universal_class)* equal(rest_of(u),identity_relation) -> .
% 299.72/300.40  226376[0:Res:3780.1,964.0] || equal(complement(complement(compose_class(u))),universal_class) -> equal(compose(u,singleton(v)),v)**.
% 299.72/300.40  226536[11:SpL:203228.1,226483.0] || equal(identity_relation,u) equal(complement(intersection(power_class(u),successor(v))),identity_relation)** -> .
% 299.72/300.40  226555[11:SpL:203228.1,226529.0] || equal(identity_relation,u) equal(complement(intersection(power_class(u),singleton(identity_relation))),identity_relation)** -> .
% 299.72/300.40  226624[11:SpL:203228.1,226485.0] || equal(identity_relation,u) equal(complement(intersection(power_class(u),symmetrization_of(v))),identity_relation)** -> .
% 299.72/300.40  226739[5:MRR:226705.2,348.0] || equal(complement(u),identity_relation) member(v,universal_class) -> member(power_class(v),u)*.
% 299.72/300.40  226804[5:SpL:122711.0,203649.0] || equal(union(u,symmetric_difference(universal_class,v)),identity_relation)** -> member(identity_relation,union(v,identity_relation)).
% 299.72/300.40  226842[11:SpL:203228.1,226839.0] || equal(identity_relation,u) equal(complement(intersection(power_class(v),power_class(u))),identity_relation)** -> .
% 299.72/300.40  227174[0:SpR:123.0,227090.0] ||  -> subclass(complement(segment(u,v,w)),complement(cantor(restrict(u,v,singleton(w)))))*.
% 299.72/300.40  227577[5:Obv:227534.1] || subclass(intersection(complement(u),v),u)* -> equal(intersection(complement(u),v),identity_relation).
% 299.72/300.40  228274[5:Obv:227951.1] || subclass(intersection(u,complement(v)),v)* -> equal(intersection(u,complement(v)),identity_relation).
% 299.72/300.40  228762[13:MRR:228742.2,203223.0] || member(unordered_pair(u,v),element_relation)* subclass(universal_class,regular(compose(element_relation,universal_class)))* -> .
% 299.72/300.40  228889[5:SpL:2089.1,228791.0] || subclass(universal_class,not_subclass_element(cross_product(u,v),w))* -> subclass(cross_product(u,v),w).
% 299.72/300.40  228903[5:SpL:2089.1,228895.0] || equal(not_subclass_element(cross_product(u,v),w),universal_class)** -> subclass(cross_product(u,v),w).
% 299.72/300.40  228974[5:MRR:228939.2,348.0] || equal(complement(u),identity_relation) member(v,universal_class) -> member(sum_class(v),u)*.
% 299.72/300.40  229064[5:MRR:229046.2,5188.0] inductive(symmetric_difference(inverse(identity_relation),symmetrization_of(identity_relation))) || well_ordering(u,complement(symmetrization_of(identity_relation)))* -> .
% 299.72/300.40  229084[5:SpL:5338.1,228756.0] || subclass(universal_class,regular(regular(cross_product(u,v))))* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  229136[5:SpL:5338.1,229089.0] || equal(regular(regular(cross_product(u,v))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.40  229588[5:Res:52.1,5550.0] inductive(restrict(u,v,w)) ||  -> equal(integer_of(x),identity_relation) member(x,u)*.
% 299.72/300.41  230371[5:SpR:118447.0,230113.0] ||  -> subclass(regular(symmetric_difference(universal_class,u)),union(u,identity_relation))* equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.41  230410[5:Obv:230386.0] ||  -> subclass(u,complement(intersection(singleton(u),v)))* equal(intersection(singleton(u),v),identity_relation).
% 299.72/300.41  230411[5:Obv:230387.0] ||  -> subclass(u,complement(intersection(v,singleton(u))))* equal(intersection(v,singleton(u)),identity_relation).
% 299.72/300.41  230427[7:Res:230400.0,5325.0] ||  -> equal(regular(complement(singleton(identity_relation))),identity_relation) equal(regular(regular(complement(singleton(identity_relation)))),identity_relation)**.
% 299.72/300.41  231280[5:SpL:122708.0,231267.0] || equal(intersection(union(u,identity_relation),complement(v)),union(symmetric_difference(universal_class,u),v))** -> .
% 299.72/300.41  231282[5:SpL:122711.0,231267.0] || equal(intersection(complement(u),union(v,identity_relation)),union(u,symmetric_difference(universal_class,v)))** -> .
% 299.72/300.41  231293[5:SpL:579.0,231267.0] || equal(power_class(intersection(complement(u),complement(v))),image(element_relation,union(u,v)))** -> .
% 299.72/300.41  231476[0:Res:52.1,8433.0] inductive(intersection(u,v)) ||  -> subclass(omega,w) member(not_subclass_element(omega,w),v)*.
% 299.72/300.41  231610[0:Res:52.1,8432.0] inductive(intersection(u,v)) ||  -> subclass(omega,w) member(not_subclass_element(omega,w),u)*.
% 299.72/300.41  231623[0:Res:86317.0,8432.0] ||  -> subclass(complement(successor(u)),v) member(not_subclass_element(complement(successor(u)),v),complement(u))*.
% 299.72/300.41  231624[0:Res:86316.0,8432.0] ||  -> subclass(complement(symmetrization_of(u)),v) member(not_subclass_element(complement(symmetrization_of(u)),v),complement(u))*.
% 299.72/300.41  231631[5:MRR:231572.1,5.0] || equal(complement(u),identity_relation) -> subclass(v,w) member(not_subclass_element(v,w),u)*.
% 299.72/300.41  232149[5:Rew:118447.0,232093.1] || subclass(symmetric_difference(universal_class,u),union(u,identity_relation))* -> subclass(universal_class,union(u,identity_relation)).
% 299.72/300.41  233136[5:MRR:233133.1,202179.0] || equal(complement(u),identity_relation) -> equal(regular(unordered_pair(u,singleton(v))),singleton(v))**.
% 299.72/300.41  233325[5:MRR:233323.1,202217.0] || equal(complement(u),identity_relation) -> equal(regular(unordered_pair(singleton(v),u)),singleton(v))**.
% 299.72/300.41  233363[16:Res:230404.0,192688.0] ||  -> equal(singleton(successor(range_of(identity_relation))),identity_relation) member(identity_relation,complement(singleton(successor(range_of(identity_relation)))))*.
% 299.72/300.41  233397[9:Res:230404.0,168277.0] ||  -> equal(singleton(complement(inverse(identity_relation))),identity_relation) member(identity_relation,complement(singleton(complement(inverse(identity_relation)))))*.
% 299.72/300.41  233618[12:Rew:233494.0,193659.1] || member(u,universal_class) -> equal(apply(v,sum_class(range_of(u))),apply(v,universal_class))**.
% 299.72/300.41  233622[5:Rew:233494.0,200758.2] || equal(u,universal_class) -> inductive(u) equal(apply(v,universal_class),apply(v,u))*.
% 299.72/300.41  233641[15:Rew:233634.0,193708.1] || member(u,universal_class) -> equal(ordered_pair(v,sum_class(range_of(u))),ordered_pair(v,universal_class))**.
% 299.72/300.41  233652[15:Rew:233634.0,200949.2] || equal(u,universal_class) -> inductive(u) equal(ordered_pair(v,universal_class),ordered_pair(v,u))*.
% 299.72/300.41  233662[15:Rew:233634.0,193874.0] || member(ordered_pair(u,universal_class),cross_product(v,w))* -> member(sum_class(range_of(identity_relation)),w).
% 299.72/300.41  233679[17:Rew:233676.0,210543.1] one_to_one(u) ||  -> equal(segment(v,w,inverse(u)),segment(v,w,universal_class))**.
% 299.72/300.41  233684[15:Rew:233676.0,191830.1] || asymmetric(u,identity_relation) -> equal(segment(intersection(u,inverse(u)),identity_relation,universal_class),identity_relation)**.
% 299.72/300.41  233714[17:Rew:233711.0,210548.1] one_to_one(u) ||  -> equal(range__dfg(v,inverse(u),w),range__dfg(v,universal_class,w))**.
% 299.72/300.41  233725[17:Rew:233722.0,210549.1] one_to_one(u) ||  -> equal(domain__dfg(v,w,inverse(u)),domain__dfg(v,w,universal_class))**.
% 299.72/300.41  233748[17:Rew:233744.1,220172.2] function(u) || member(singleton(singleton(identity_relation)),compose_class(v))* -> equal(universal_class,u)*.
% 299.72/300.41  233761[5:Rew:233410.0,233495.0] || member(image(u,identity_relation),universal_class) -> subclass(apply(u,universal_class),image(u,identity_relation))*.
% 299.72/300.41  233969[0:MRR:233964.1,176.0] || well_ordering(universal_class,complement(singleton(u))) -> member(singleton(singleton(singleton(singleton(u)))),element_relation)*.
% 299.72/300.41  234214[17:MRR:234162.0,641.0] || member(u,universal_class) subclass(domain_relation,complement(unordered_pair(ordered_pair(u,identity_relation),v)))* -> .
% 299.72/300.41  234215[17:MRR:234163.0,641.0] || member(u,universal_class) subclass(domain_relation,complement(unordered_pair(v,ordered_pair(u,identity_relation))))* -> .
% 299.72/300.41  234407[15:Rew:234406.1,192111.1] || member(ordered_pair(u,singleton(singleton(identity_relation))),composition_function)* -> equal(compose(u,identity_relation),universal_class).
% 299.72/300.41  234525[15:Rew:234524.1,192091.1] || member(singleton(singleton(identity_relation)),rest_of(u))* -> equal(restrict(u,identity_relation,universal_class),universal_class).
% 299.72/300.41  234526[17:Rew:234524.1,220174.2] function(u) || member(singleton(singleton(identity_relation)),rest_of(v))* -> equal(universal_class,u)*.
% 299.72/300.41  234627[5:Res:201827.1,2036.0] || subclass(complement(rest_of(u)),identity_relation) -> equal(restrict(u,singleton(v),universal_class),v)**.
% 299.72/300.41  234632[0:Res:122840.1,2036.0] || well_ordering(universal_class,complement(rest_of(u))) -> equal(restrict(u,singleton(v),universal_class),v)**.
% 299.72/300.41  234922[17:MRR:234862.1,5188.0] || member(u,universal_class) -> equal(apply(unordered_pair(v,w),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234923[17:MRR:234863.1,5188.0] || member(u,universal_class) -> equal(apply(ordered_pair(v,w),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234924[20:MRR:234868.1,5188.0] || member(u,universal_class) -> equal(apply(regular(symmetrization_of(identity_relation)),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234925[17:MRR:234877.1,5188.0] || member(u,universal_class) -> equal(apply(least(element_relation,omega),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234929[14:MRR:234915.0,5265.0] || equal(complement(domain_of(u)),omega) -> equal(apply(u,identity_relation),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234933[15:MRR:234904.0,176.0] || well_ordering(universal_class,domain_of(u)) -> equal(apply(u,singleton(identity_relation)),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  235143[17:SpL:233494.0,196832.1] || member(image(u,identity_relation),universal_class)* equal(rest_of(apply(u,universal_class)),rest_relation) -> .
% 299.72/300.41  235148[5:SpL:233494.0,205353.1] || member(image(u,identity_relation),universal_class)* equal(singleton(apply(u,universal_class)),identity_relation) -> .
% 299.72/300.41  235158[5:Rew:233494.0,235110.0] || equal(apply(u,universal_class),identity_relation) -> subclass(apply(u,universal_class),image(u,identity_relation))*.
% 299.72/300.41  235213[9:MRR:235209.2,203684.0] || member(least(u,complement(symmetrization_of(identity_relation))),inverse(identity_relation))* well_ordering(u,universal_class) -> .
% 299.72/300.41  235217[20:MRR:235216.2,212333.0] || well_ordering(u,universal_class) member(least(u,symmetrization_of(identity_relation)),complement(inverse(identity_relation)))* -> .
% 299.72/300.41  235382[15:Rew:233663.1,235323.1] || member(ordered_pair(u,universal_class),compose_class(v))* -> equal(sum_class(range_of(identity_relation)),range_of(identity_relation)).
% 299.72/300.41  235383[15:Rew:235382.1,233663.1] || member(ordered_pair(u,universal_class),compose_class(v))* -> equal(compose(v,u),range_of(identity_relation)).
% 299.72/300.41  235384[15:Rew:233665.1,235325.1] || member(ordered_pair(u,universal_class),rest_of(v))* -> equal(sum_class(range_of(identity_relation)),range_of(identity_relation)).
% 299.72/300.41  235491[5:SpR:200704.1,233421.0] || equal(u,universal_class) -> inductive(u) member(identity_relation,complement(singleton(ordered_pair(u,v))))*.
% 299.72/300.41  235495[12:SpR:191620.1,233421.0] || member(u,universal_class) -> member(identity_relation,complement(singleton(ordered_pair(sum_class(range_of(u)),v))))*.
% 299.72/300.41  235646[0:Res:20387.1,3924.0] || subclass(rest_relation,rotate(u))* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.41  235704[0:Res:20387.1,20.0] || subclass(rest_relation,rotate(element_relation)) -> member(ordered_pair(u,rest_of(ordered_pair(v,u))),v)*.
% 299.72/300.41  235762[0:Res:20388.1,3924.0] || subclass(rest_relation,flip(u))* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.41  235812[0:Res:20388.1,16.0] || subclass(rest_relation,flip(cross_product(u,v)))* -> member(rest_of(ordered_pair(w,x)),v)*.
% 299.72/300.41  235820[0:Res:20388.1,20.0] || subclass(rest_relation,flip(element_relation)) -> member(ordered_pair(u,v),rest_of(ordered_pair(v,u)))*.
% 299.72/300.41  235866[5:SpL:200704.1,235506.0] || equal(u,universal_class) member(identity_relation,singleton(ordered_pair(u,v)))* -> inductive(u).
% 299.72/300.41  235870[12:SpL:191620.1,235506.0] || member(u,universal_class) member(identity_relation,singleton(ordered_pair(sum_class(range_of(u)),v)))* -> .
% 299.72/300.41  236025[5:MRR:236021.1,202629.0] || subclass(complement(singleton(omega)),u)* -> equal(integer_of(v),identity_relation) member(v,u)*.
% 299.72/300.41  236072[15:Res:235494.0,2.0] || subclass(complement(singleton(ordered_pair(sum_class(range_of(identity_relation)),u))),v)* -> member(identity_relation,v).
% 299.72/300.41  236335[5:Res:5214.2,233419.0] || subclass(u,singleton(omega))* -> equal(u,identity_relation) equal(integer_of(regular(u)),identity_relation).
% 299.72/300.41  236547[5:SpR:233485.0,77667.1] || equal(rest_of(cross_product(u,identity_relation)),rest_relation) -> equal(segment(universal_class,u,universal_class),universal_class)**.
% 299.72/300.41  236548[5:SpR:233485.0,79123.1] || equal(cantor(cross_product(u,identity_relation)),universal_class) -> equal(segment(universal_class,u,universal_class),universal_class)**.
% 299.72/300.41  236549[5:SpR:233485.0,122380.0] ||  -> equal(symmetric_difference(segment(universal_class,u,universal_class),universal_class),symmetric_difference(universal_class,cantor(cross_product(u,identity_relation))))**.
% 299.72/300.41  236553[5:SpR:233485.0,203318.1] || equal(rest_of(cross_product(u,identity_relation)),identity_relation) -> equal(segment(universal_class,u,universal_class),identity_relation)**.
% 299.72/300.41  236554[5:SpR:233485.0,203313.1] || equal(cantor(cross_product(u,identity_relation)),identity_relation) -> equal(segment(universal_class,u,universal_class),identity_relation)**.
% 299.72/300.41  236558[14:SpR:233485.0,178684.1] || equal(cantor(cross_product(u,identity_relation)),omega) -> member(identity_relation,segment(universal_class,u,universal_class))*.
% 299.72/300.41  236559[14:SpR:233485.0,178550.1] || subclass(omega,cantor(cross_product(u,identity_relation))) -> member(identity_relation,segment(universal_class,u,universal_class))*.
% 299.72/300.41  236566[5:SpR:233485.0,608.1] || member(u,cantor(cross_product(v,identity_relation))) -> member(u,segment(universal_class,v,universal_class))*.
% 299.72/300.41  236567[5:SpR:233485.0,45819.1] || subclass(u,cantor(cross_product(v,identity_relation))) -> subclass(u,segment(universal_class,v,universal_class))*.
% 299.72/300.41  236570[5:SpL:233485.0,145924.0] || equal(segment(universal_class,u,universal_class),universal_class)** -> equal(cantor(cross_product(u,identity_relation)),universal_class).
% 299.72/300.41  236571[5:SpL:233485.0,146240.0] || subclass(universal_class,segment(universal_class,u,universal_class))* -> equal(cantor(cross_product(u,identity_relation)),universal_class).
% 299.72/300.41  236576[5:SpL:233485.0,203320.0] || equal(segment(universal_class,u,universal_class),identity_relation)** -> equal(cantor(cross_product(u,identity_relation)),identity_relation).
% 299.72/300.41  236577[5:SpL:233485.0,208585.0] || member(cross_product(u,identity_relation),segment(universal_class,u,universal_class))* subclass(element_relation,identity_relation) -> .
% 299.72/300.41  236581[5:SpL:233485.0,204822.0] || subclass(segment(universal_class,u,universal_class),identity_relation)* -> equal(cantor(cross_product(u,identity_relation)),identity_relation).
% 299.72/300.41  236584[5:SpL:233485.0,29473.0] || member(u,segment(universal_class,v,universal_class))* -> member(u,cantor(cross_product(v,identity_relation))).
% 299.72/300.41  237169[17:Obv:237126.1] || equal(u,v) -> equal(unordered_pair(v,u),identity_relation)** equal(domain_of(v),identity_relation).
% 299.72/300.41  237170[17:Obv:237127.1] || equal(u,v) -> equal(unordered_pair(v,u),identity_relation)** equal(cantor(v),identity_relation).
% 299.72/300.41  237641[5:SpR:27.0,237395.0] ||  -> equal(intersection(union(u,v),intersection(w,intersection(complement(u),complement(v)))),identity_relation)**.
% 299.72/300.41  237654[7:SpR:189471.0,237395.0] ||  -> equal(intersection(power_class(complement(singleton(identity_relation))),intersection(u,image(element_relation,singleton(identity_relation)))),identity_relation)**.
% 299.72/300.41  237656[5:SpR:122494.0,237395.0] ||  -> equal(intersection(power_class(complement(inverse(identity_relation))),intersection(u,image(element_relation,symmetrization_of(identity_relation)))),identity_relation)**.
% 299.72/300.41  237718[5:Rew:118446.0,237554.0,22454.0,237554.0] ||  -> equal(symmetric_difference(complement(u),intersection(v,u)),union(complement(u),intersection(v,u)))**.
% 299.72/300.41  238350[5:SpR:27.0,237985.0] ||  -> equal(intersection(union(u,v),intersection(intersection(complement(u),complement(v)),w)),identity_relation)**.
% 299.72/300.41  238363[7:SpR:189471.0,237985.0] ||  -> equal(intersection(power_class(complement(singleton(identity_relation))),intersection(image(element_relation,singleton(identity_relation)),u)),identity_relation)**.
% 299.72/300.41  238365[5:SpR:122494.0,237985.0] ||  -> equal(intersection(power_class(complement(inverse(identity_relation))),intersection(image(element_relation,symmetrization_of(identity_relation)),u)),identity_relation)**.
% 299.72/300.41  238425[5:Rew:118446.0,238255.0,22454.0,238255.0] ||  -> equal(symmetric_difference(complement(u),intersection(u,v)),union(complement(u),intersection(u,v)))**.
% 299.72/300.41  238504[5:SpR:120682.0,238306.0] ||  -> equal(intersection(complement(segment(universal_class,u,v)),cantor(cross_product(u,singleton(v)))),identity_relation)**.
% 299.72/300.41  238616[5:Rew:118446.0,238438.0,22454.0,238438.0] ||  -> equal(symmetric_difference(complement(domain_of(u)),cantor(u)),union(complement(domain_of(u)),cantor(u)))**.
% 299.72/300.41  238620[5:Rew:238306.0,238553.1] || member(not_subclass_element(cantor(u),identity_relation),complement(domain_of(u)))* -> subclass(cantor(u),identity_relation).
% 299.72/300.41  238990[5:SpR:27.0,238781.0] ||  -> equal(intersection(intersection(u,intersection(complement(v),complement(w))),union(v,w)),identity_relation)**.
% 299.72/300.41  239003[7:SpR:189471.0,238781.0] ||  -> equal(intersection(intersection(u,image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation)))),identity_relation)**.
% 299.72/300.41  239005[5:SpR:122494.0,238781.0] ||  -> equal(intersection(intersection(u,image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation)))),identity_relation)**.
% 299.72/300.41  239128[5:Rew:118446.0,238955.0,22454.0,238955.0] ||  -> equal(symmetric_difference(intersection(u,v),complement(v)),union(intersection(u,v),complement(v)))**.
% 299.72/300.41  239133[5:Rew:238781.0,239095.1] || member(not_subclass_element(complement(u),identity_relation),intersection(v,u))* -> subclass(complement(u),identity_relation).
% 299.72/300.41  239161[5:SpR:238308.0,145868.1] || subclass(cantor(inverse(u)),complement(range_of(u)))* -> equal(cantor(inverse(u)),identity_relation).
% 299.72/300.41  239272[5:SpR:238317.0,145868.1] || subclass(symmetric_difference(universal_class,u),complement(complement(u)))* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.41  239902[5:SpR:27.0,239572.0] ||  -> equal(intersection(intersection(intersection(complement(u),complement(v)),w),union(u,v)),identity_relation)**.
% 299.72/300.41  239915[7:SpR:189471.0,239572.0] ||  -> equal(intersection(intersection(image(element_relation,singleton(identity_relation)),u),power_class(complement(singleton(identity_relation)))),identity_relation)**.
% 299.72/300.41  239917[5:SpR:122494.0,239572.0] ||  -> equal(intersection(intersection(image(element_relation,symmetrization_of(identity_relation)),u),power_class(complement(inverse(identity_relation)))),identity_relation)**.
% 299.72/300.41  240043[5:Rew:118446.0,239863.0,22454.0,239863.0] ||  -> equal(symmetric_difference(intersection(u,v),complement(u)),union(intersection(u,v),complement(u)))**.
% 299.72/300.41  240049[5:Rew:239572.0,240012.1] || member(not_subclass_element(complement(u),identity_relation),intersection(u,v))* -> subclass(complement(u),identity_relation).
% 299.72/300.41  240100[5:SpR:120682.0,239940.0] ||  -> equal(intersection(cantor(cross_product(u,singleton(v))),complement(segment(universal_class,u,v))),identity_relation)**.
% 299.72/300.41  240239[5:Rew:118446.0,240058.0,22454.0,240058.0] ||  -> equal(symmetric_difference(cantor(u),complement(domain_of(u))),union(cantor(u),complement(domain_of(u))))**.
% 299.72/300.41  240379[5:Res:5604.2,204710.1] || subclass(u,v)* subclass(v,identity_relation)* -> equal(intersection(u,w),identity_relation)**.
% 299.72/300.41  240380[5:Res:5604.2,203257.1] || subclass(u,v)* equal(identity_relation,v) -> equal(intersection(u,w),identity_relation)**.
% 299.72/300.41  240411[5:Obv:240322.1] || subclass(u,v)* -> equal(intersection(u,singleton(w)),identity_relation)** member(w,v)*.
% 299.72/300.41  240746[5:SpR:239942.0,145868.1] || subclass(complement(range_of(u)),cantor(inverse(u)))* -> equal(complement(range_of(u)),identity_relation).
% 299.72/300.41  240972[5:Res:5579.2,204710.1] || subclass(u,v)* subclass(v,identity_relation)* -> equal(intersection(w,u),identity_relation)**.
% 299.72/300.41  240973[5:Res:5579.2,203257.1] || subclass(u,v)* equal(identity_relation,v) -> equal(intersection(w,u),identity_relation)**.
% 299.72/300.41  241004[5:Obv:240914.1] || subclass(u,v)* -> equal(intersection(singleton(w),u),identity_relation)** member(w,v)*.
% 299.72/300.41  241043[5:SpR:239951.0,145868.1] || subclass(complement(complement(u)),symmetric_difference(universal_class,u))* -> equal(complement(complement(u)),identity_relation).
% 299.72/300.41  242088[5:SpR:227625.0,5246.0] ||  -> equal(range__dfg(complement(cross_product(singleton(u),v)),u,v),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.72/300.41  242189[12:SpL:192336.1,242117.0] || member(u,universal_class) member(range_of(u),domain_of(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.41  242193[17:SpL:196425.0,242117.0] || member(inverse(u),domain_of(complement(cross_product(identity_relation,universal_class))))* -> equal(range_of(u),identity_relation).
% 299.72/300.41  242201[5:SpL:77667.1,242117.0] || equal(rest_of(complement(cross_product(singleton(u),universal_class))),rest_relation)** member(u,universal_class) -> .
% 299.72/300.41  242202[5:SpL:79123.1,242117.0] || equal(cantor(complement(cross_product(singleton(u),universal_class))),universal_class)** member(u,universal_class) -> .
% 299.72/300.41  242217[5:Res:20366.2,242117.0] || member(u,universal_class) subclass(rest_relation,rest_of(complement(cross_product(singleton(u),universal_class))))* -> .
% 299.72/300.41  242228[5:Res:5214.2,242117.0] || subclass(u,domain_of(complement(cross_product(singleton(regular(u)),universal_class))))* -> equal(u,identity_relation).
% 299.72/300.41  242236[5:Res:5288.2,242117.0] || subclass(omega,domain_of(complement(cross_product(singleton(u),universal_class))))* -> equal(integer_of(u),identity_relation).
% 299.72/300.41  244071[12:SpL:192336.1,242218.0] || member(u,universal_class) member(range_of(u),cantor(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.41  244075[17:SpL:196425.0,242218.0] || member(inverse(u),cantor(complement(cross_product(identity_relation,universal_class))))* -> equal(range_of(u),identity_relation).
% 299.72/300.41  244102[5:Res:5214.2,242218.0] || subclass(u,cantor(complement(cross_product(singleton(regular(u)),universal_class))))* -> equal(u,identity_relation).
% 299.72/300.41  244110[5:Res:5288.2,242218.0] || subclass(omega,cantor(complement(cross_product(singleton(u),universal_class))))* -> equal(integer_of(u),identity_relation).
% 299.72/300.41  244515[15:MRR:244463.2,5188.0] || member(u,symmetric_difference(universal_class,range_of(identity_relation)))* member(u,successor(range_of(identity_relation))) -> .
% 299.72/300.41  244698[21:MRR:244638.0,29469.1] || member(u,cross_product(universal_class,universal_class)) -> member(u,compose(complement(element_relation),inverse(element_relation)))*.
% 299.72/300.41  244953[20:Res:5288.2,244901.0] || subclass(omega,complement(inverse(identity_relation))) -> equal(integer_of(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),identity_relation)**.
% 299.72/300.41  245352[5:SpR:202351.1,242145.0] || equal(cross_product(identity_relation,universal_class),identity_relation) -> equal(apply(universal_class,universal_class),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  245749[15:SpL:202351.1,242190.0] || equal(cross_product(identity_relation,universal_class),identity_relation) member(sum_class(range_of(identity_relation)),domain_of(universal_class))* -> .
% 299.72/300.41  245765[5:SpL:202351.1,242209.0] || equal(cross_product(singleton(omega),universal_class),identity_relation)** equal(complement(domain_of(universal_class)),identity_relation) -> .
% 299.72/300.41  245778[5:SpL:202351.1,242215.0] || equal(cross_product(singleton(power_class(identity_relation)),universal_class),identity_relation)** subclass(universal_class,domain_of(universal_class)) -> .
% 299.72/300.41  245817[5:SpL:202351.1,242246.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(complement(domain_of(universal_class)),identity_relation) -> .
% 299.72/300.41  245828[7:SpL:202351.1,242249.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(domain_of(universal_class),singleton(identity_relation)) -> .
% 299.72/300.41  245863[7:SpL:202351.1,242253.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(cantor(universal_class),singleton(identity_relation)) -> .
% 299.72/300.41  245868[5:SpL:202351.1,242751.0] || equal(cross_product(singleton(omega),universal_class),identity_relation)** equal(complement(cantor(universal_class)),identity_relation) -> .
% 299.72/300.41  245874[5:SpL:202351.1,244065.0] || equal(cross_product(singleton(identity_relation),universal_class),identity_relation)** equal(complement(cantor(universal_class)),identity_relation) -> .
% 299.72/300.41  245878[15:SpL:202351.1,244072.0] || equal(cross_product(identity_relation,universal_class),identity_relation) member(sum_class(range_of(identity_relation)),cantor(universal_class))* -> .
% 299.72/300.41  245924[5:SpL:202351.1,244092.0] || equal(cross_product(singleton(power_class(identity_relation)),universal_class),identity_relation)** subclass(universal_class,cantor(universal_class)) -> .
% 299.72/300.41  245936[5:SpL:202351.1,245788.0] || equal(cross_product(singleton(power_class(identity_relation)),universal_class),identity_relation)** equal(domain_of(universal_class),universal_class) -> .
% 299.72/300.41  245952[5:SpL:202351.1,245793.0] || equal(cross_product(singleton(power_class(identity_relation)),universal_class),identity_relation)** equal(rest_of(universal_class),rest_relation) -> .
% 299.72/300.41  245958[5:SpL:202351.1,245794.0] || equal(cross_product(singleton(power_class(identity_relation)),universal_class),identity_relation)** equal(cantor(universal_class),universal_class) -> .
% 299.72/300.41  246913[7:MRR:246837.2,5188.0] || member(u,intersection(v,complement(singleton(identity_relation))))* member(u,singleton(identity_relation)) -> .
% 299.72/300.41  247037[5:MRR:246965.2,5188.0] || member(u,intersection(v,complement(inverse(identity_relation))))* member(u,symmetrization_of(identity_relation)) -> .
% 299.72/300.41  247184[5:SpR:21037.0,204745.1] || subclass(successor(u),identity_relation) -> equal(symmetric_difference(complement(u),complement(singleton(u))),identity_relation)**.
% 299.72/300.41  247255[5:SpL:21037.0,5192.0] || subclass(universal_class,symmetric_difference(complement(u),complement(singleton(u))))* -> member(identity_relation,successor(u)).
% 299.72/300.41  247257[0:SpL:21037.0,791.0] || subclass(universal_class,symmetric_difference(complement(u),complement(singleton(u))))* -> member(omega,successor(u)).
% 299.72/300.41  247261[5:SpL:21037.0,5191.0] || equal(symmetric_difference(complement(u),complement(singleton(u))),universal_class)** -> member(identity_relation,successor(u)).
% 299.72/300.41  247263[0:SpL:21037.0,928.0] || equal(symmetric_difference(complement(u),complement(singleton(u))),universal_class)** -> member(omega,successor(u)).
% 299.72/300.41  247272[14:SpL:21037.0,178033.0] || subclass(omega,symmetric_difference(complement(u),complement(singleton(u))))* -> member(identity_relation,successor(u)).
% 299.72/300.41  247274[14:SpL:21037.0,178572.0] || equal(symmetric_difference(complement(u),complement(singleton(u))),omega)** -> member(identity_relation,successor(u)).
% 299.72/300.41  247279[0:SpL:21037.0,22.0] || member(u,symmetric_difference(complement(v),complement(singleton(v))))* -> member(u,successor(v)).
% 299.72/300.41  247576[7:MRR:247492.2,5188.0] || member(u,intersection(complement(singleton(identity_relation)),v))* member(u,singleton(identity_relation)) -> .
% 299.72/300.41  247708[5:MRR:247628.2,5188.0] || member(u,intersection(complement(inverse(identity_relation)),v))* member(u,symmetrization_of(identity_relation)) -> .
% 299.72/300.41  247866[0:Res:779.1,20349.2] || subclass(universal_class,u) member(v,universal_class)* subclass(rest_relation,complement(u))* -> .
% 299.72/300.41  247919[0:Obv:247908.0] || subclass(rest_relation,u) member(v,universal_class)* subclass(rest_relation,complement(u))* -> .
% 299.72/300.41  248310[0:SpR:20365.2,8249.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> subclass(rest_of(u),v)*.
% 299.72/300.41  248486[5:SpR:21036.0,204745.1] || subclass(symmetrization_of(u),identity_relation) -> equal(symmetric_difference(complement(u),complement(inverse(u))),identity_relation)**.
% 299.72/300.41  248545[5:SpL:21036.0,5192.0] || subclass(universal_class,symmetric_difference(complement(u),complement(inverse(u))))* -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.41  248547[0:SpL:21036.0,791.0] || subclass(universal_class,symmetric_difference(complement(u),complement(inverse(u))))* -> member(omega,symmetrization_of(u)).
% 299.72/300.41  248551[5:SpL:21036.0,5191.0] || equal(symmetric_difference(complement(u),complement(inverse(u))),universal_class)** -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.41  248553[0:SpL:21036.0,928.0] || equal(symmetric_difference(complement(u),complement(inverse(u))),universal_class)** -> member(omega,symmetrization_of(u)).
% 299.72/300.41  248562[14:SpL:21036.0,178033.0] || subclass(omega,symmetric_difference(complement(u),complement(inverse(u))))* -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.41  248564[14:SpL:21036.0,178572.0] || equal(symmetric_difference(complement(u),complement(inverse(u))),omega)** -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.41  248569[0:SpL:21036.0,22.0] || member(u,symmetric_difference(complement(v),complement(inverse(v))))* -> member(u,symmetrization_of(v)).
% 299.72/300.41  248814[7:SpL:580.0,248269.0] || equal(complement(complement(intersection(union(u,v),complement(singleton(identity_relation))))),singleton(identity_relation))** -> .
% 299.72/300.41  249281[0:Rew:249197.0,162690.1] ||  -> member(u,image(element_relation,power_class(v))) subclass(singleton(u),power_class(complement(power_class(v))))*.
% 299.72/300.41  249450[5:Rew:249197.0,239002.0] ||  -> equal(intersection(intersection(u,image(element_relation,power_class(v))),power_class(complement(power_class(v)))),identity_relation)**.
% 299.72/300.41  249538[7:Rew:249197.0,179781.0] || member(identity_relation,complement(power_class(u))) -> member(identity_relation,complement(intersection(power_class(u),universal_class)))*.
% 299.72/300.41  249599[5:Rew:249197.0,202965.1] || equal(image(element_relation,power_class(u)),identity_relation)** -> equal(power_class(complement(power_class(u))),universal_class).
% 299.72/300.41  249600[15:Rew:249197.0,191648.1] single_valued_class(image(element_relation,power_class(u))) || equal(power_class(complement(power_class(u))),universal_class)** -> .
% 299.72/300.41  249601[3:Rew:249197.0,4004.1] inductive(image(element_relation,power_class(u))) || equal(power_class(complement(power_class(u))),universal_class)** -> .
% 299.72/300.41  249602[5:Rew:249197.0,167482.0] || equal(power_class(complement(power_class(u))),universal_class) -> equal(image(element_relation,power_class(u)),identity_relation)**.
% 299.72/300.41  249607[14:Rew:249197.0,178405.1] inductive(image(element_relation,power_class(u))) || equal(power_class(complement(power_class(u))),omega)** -> .
% 299.72/300.41  249608[5:Rew:249197.0,22768.0] ||  -> subclass(symmetric_difference(power_class(complement(power_class(u))),universal_class),union(image(element_relation,power_class(u)),identity_relation))*.
% 299.72/300.41  249612[7:Rew:249197.0,176872.0] || well_ordering(universal_class,power_class(complement(power_class(u))))* -> member(identity_relation,image(element_relation,power_class(u))).
% 299.72/300.41  249613[5:Rew:249197.0,125738.0] ||  -> equal(intersection(power_class(complement(power_class(u))),universal_class),symmetric_difference(universal_class,image(element_relation,power_class(u))))**.
% 299.72/300.41  249645[5:Rew:249197.0,201786.1] || subclass(image(element_relation,power_class(u)),identity_relation)* -> subclass(universal_class,power_class(complement(power_class(u)))).
% 299.72/300.41  249781[5:Rew:249197.0,204198.0] || equal(power_class(complement(power_class(u))),identity_relation) -> equal(image(element_relation,power_class(u)),universal_class)**.
% 299.72/300.41  249810[5:Rew:249197.0,203600.0] || subclass(power_class(complement(power_class(u))),identity_relation) -> member(omega,image(element_relation,power_class(u)))*.
% 299.72/300.41  249811[7:Rew:249197.0,203523.0] || subclass(power_class(complement(power_class(u))),identity_relation) -> member(identity_relation,image(element_relation,power_class(u)))*.
% 299.72/300.41  249846[5:Rew:249197.0,237653.0] ||  -> equal(intersection(power_class(complement(power_class(u))),intersection(v,image(element_relation,power_class(u)))),identity_relation)**.
% 299.72/300.41  249847[5:Rew:249197.0,238362.0] ||  -> equal(intersection(power_class(complement(power_class(u))),intersection(image(element_relation,power_class(u)),v)),identity_relation)**.
% 299.72/300.41  249848[5:Rew:249197.0,239914.0] ||  -> equal(intersection(intersection(image(element_relation,power_class(u)),v),power_class(complement(power_class(u)))),identity_relation)**.
% 299.72/300.41  250031[0:Rew:249197.0,9141.0] ||  -> subclass(symmetric_difference(power_class(u),complement(inverse(complement(power_class(u))))),symmetrization_of(complement(power_class(u))))*.
% 299.72/300.41  250156[0:Rew:249197.0,9156.0] ||  -> subclass(symmetric_difference(power_class(u),complement(singleton(complement(power_class(u))))),successor(complement(power_class(u))))*.
% 299.72/300.41  250212[5:Rew:249197.0,205908.0] || subclass(complement(power_class(u)),identity_relation) -> equal(complement(intersection(power_class(u),universal_class)),identity_relation)**.
% 299.72/300.41  250462[11:Rew:250258.0,226824.0] || member(regular(union(u,complement(power_class(identity_relation)))),intersection(complement(u),power_class(identity_relation)))* -> .
% 299.72/300.41  250712[11:Rew:250502.0,226192.0] || member(regular(union(complement(power_class(identity_relation)),u)),intersection(power_class(identity_relation),complement(u)))* -> .
% 299.72/300.41  250767[5:Rew:249197.0,249976.1] || equal(symmetrization_of(complement(power_class(u))),universal_class) -> subclass(v,symmetrization_of(complement(power_class(u))))*.
% 299.72/300.41  250768[5:Rew:249197.0,250103.1] || equal(successor(complement(power_class(u))),universal_class) -> subclass(v,successor(complement(power_class(u))))*.
% 299.72/300.41  251300[0:SpR:8659.0,249204.0] ||  -> equal(complement(complement(complement(image(element_relation,symmetrization_of(u))))),complement(image(element_relation,symmetrization_of(u))))**.
% 299.72/300.41  251301[0:SpR:8660.0,249204.0] ||  -> equal(complement(complement(complement(image(element_relation,successor(u))))),complement(image(element_relation,successor(u))))**.
% 299.72/300.41  251717[0:Rew:249204.0,251716.0] ||  -> equal(power_class(complement(complement(image(element_relation,symmetrization_of(u))))),power_class(image(element_relation,symmetrization_of(u))))**.
% 299.72/300.41  251719[0:Rew:249204.0,251718.0] ||  -> equal(power_class(complement(complement(image(element_relation,successor(u))))),power_class(image(element_relation,successor(u))))**.
% 299.72/300.41  251754[0:SpR:249197.0,66.2] function(element_relation) || member(complement(u),universal_class) -> member(complement(power_class(u)),universal_class)*.
% 299.72/300.41  251762[0:SpR:27.0,249197.0] ||  -> equal(complement(power_class(intersection(complement(u),complement(v)))),image(element_relation,union(u,v)))**.
% 299.72/300.41  251771[7:SpR:189471.0,249197.0] ||  -> equal(image(element_relation,power_class(complement(singleton(identity_relation)))),complement(power_class(image(element_relation,singleton(identity_relation)))))**.
% 299.72/300.41  251773[5:SpR:122494.0,249197.0] ||  -> equal(image(element_relation,power_class(complement(inverse(identity_relation)))),complement(power_class(image(element_relation,symmetrization_of(identity_relation)))))**.
% 299.72/300.41  251774[0:SpR:249206.0,249197.0] ||  -> equal(image(element_relation,power_class(complement(power_class(u)))),complement(power_class(image(element_relation,power_class(u)))))**.
% 299.72/300.41  251872[10:Rew:251767.0,221765.0] || equal(cantor(inverse(u)),complement(power_class(universal_class))) well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.41  252436[10:Rew:251767.0,251883.0] ||  -> equal(singleton(complement(power_class(universal_class))),identity_relation) member(identity_relation,complement(singleton(complement(power_class(universal_class)))))*.
% 299.72/300.41  251923[5:Rew:251767.0,247440.0] || member(u,intersection(v,complement(power_class(universal_class))))* member(u,power_class(universal_class)) -> .
% 299.72/300.41  251927[10:Rew:251767.0,201926.1] || well_ordering(u,universal_class) member(least(u,complement(power_class(universal_class))),power_class(universal_class))* -> .
% 299.72/300.41  251951[5:Rew:251767.0,248069.0] || member(u,intersection(complement(power_class(universal_class)),v))* member(u,power_class(universal_class)) -> .
% 299.72/300.41  252065[11:Rew:251768.0,221694.0] || equal(cantor(inverse(u)),complement(power_class(identity_relation))) well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.41  252439[11:Rew:251768.0,252074.0] ||  -> equal(singleton(complement(power_class(identity_relation))),identity_relation) member(identity_relation,complement(singleton(complement(power_class(identity_relation)))))*.
% 299.72/300.41  252124[5:Rew:251768.0,247158.0] || member(u,intersection(v,complement(power_class(identity_relation))))* member(u,power_class(identity_relation)) -> .
% 299.72/300.41  252128[11:Rew:251768.0,201917.1] || well_ordering(u,universal_class) member(least(u,complement(power_class(identity_relation))),power_class(identity_relation))* -> .
% 299.72/300.41  252149[5:Rew:251768.0,205137.0] || member(apply(choice,power_class(identity_relation)),complement(power_class(identity_relation)))* -> equal(power_class(identity_relation),identity_relation).
% 299.72/300.41  252187[5:Rew:251768.0,231521.1] || equal(identity_relation,u) -> equal(symmetric_difference(complement(power_class(identity_relation)),complement(power_class(u))),identity_relation)**.
% 299.72/300.41  252194[5:Rew:251768.0,247835.0] || member(u,intersection(complement(power_class(identity_relation)),v))* member(u,power_class(identity_relation)) -> .
% 299.72/300.41  252224[7:Rew:251758.0,239316.0] ||  -> equal(intersection(image(element_relation,singleton(identity_relation)),symmetric_difference(universal_class,image(element_relation,singleton(identity_relation)))),identity_relation)**.
% 299.72/300.41  252225[7:Rew:251758.0,241073.0] ||  -> equal(intersection(symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))),image(element_relation,singleton(identity_relation))),identity_relation)**.
% 299.72/300.41  252255[5:Rew:251759.0,239318.0] ||  -> equal(intersection(image(element_relation,symmetrization_of(identity_relation)),symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation)))),identity_relation)**.
% 299.72/300.41  252256[5:Rew:251759.0,241075.0] ||  -> equal(intersection(symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))),image(element_relation,symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.41  252287[5:Rew:251760.0,249590.0] ||  -> equal(intersection(image(element_relation,power_class(u)),symmetric_difference(universal_class,image(element_relation,power_class(u)))),identity_relation)**.
% 299.72/300.41  252288[5:Rew:251760.0,249591.0] ||  -> equal(intersection(symmetric_difference(universal_class,image(element_relation,power_class(u))),image(element_relation,power_class(u))),identity_relation)**.
% 299.72/300.41  252451[5:Rew:251760.0,252008.1] || equal(identity_relation,u) -> subclass(image(element_relation,power_class(identity_relation)),image(element_relation,power_class(u)))*.
% 299.72/300.41  252653[0:SpR:249200.0,119596.0] ||  -> subclass(symmetric_difference(universal_class,intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))*.
% 299.72/300.41  252682[5:SpR:249200.0,227539.0] ||  -> equal(intersection(union(u,complement(power_class(v))),intersection(complement(u),power_class(v))),identity_relation)**.
% 299.72/300.41  252683[5:SpR:249200.0,227712.0] ||  -> equal(union(union(u,complement(power_class(v))),intersection(complement(u),power_class(v))),universal_class)**.
% 299.72/300.41  252684[5:SpR:249200.0,227727.0] ||  -> equal(symmetric_difference(union(u,complement(power_class(v))),intersection(complement(u),power_class(v))),universal_class)**.
% 299.72/300.41  252685[5:SpR:249200.0,227957.0] ||  -> equal(intersection(intersection(complement(u),power_class(v)),union(u,complement(power_class(v)))),identity_relation)**.
% 299.72/300.41  252686[5:SpR:249200.0,228164.0] ||  -> equal(union(intersection(complement(u),power_class(v)),union(u,complement(power_class(v)))),universal_class)**.
% 299.72/300.41  252687[5:SpR:249200.0,228195.0] ||  -> equal(symmetric_difference(intersection(complement(u),power_class(v)),union(u,complement(power_class(v)))),universal_class)**.
% 299.72/300.41  252983[0:SpR:249208.0,119596.0] ||  -> subclass(symmetric_difference(universal_class,intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))*.
% 299.72/300.41  253012[5:SpR:249208.0,227539.0] ||  -> equal(intersection(union(complement(power_class(u)),v),intersection(power_class(u),complement(v))),identity_relation)**.
% 299.72/300.41  253013[5:SpR:249208.0,227712.0] ||  -> equal(union(union(complement(power_class(u)),v),intersection(power_class(u),complement(v))),universal_class)**.
% 299.72/300.41  253014[5:SpR:249208.0,227727.0] ||  -> equal(symmetric_difference(union(complement(power_class(u)),v),intersection(power_class(u),complement(v))),universal_class)**.
% 299.72/300.41  253015[5:SpR:249208.0,227957.0] ||  -> equal(intersection(intersection(power_class(u),complement(v)),union(complement(power_class(u)),v)),identity_relation)**.
% 299.72/300.41  253016[5:SpR:249208.0,228164.0] ||  -> equal(union(intersection(power_class(u),complement(v)),union(complement(power_class(u)),v)),universal_class)**.
% 299.72/300.41  253017[5:SpR:249208.0,228195.0] ||  -> equal(symmetric_difference(intersection(power_class(u),complement(v)),union(complement(power_class(u)),v)),universal_class)**.
% 299.72/300.41  253483[5:Res:5201.1,249201.0] inductive(image(element_relation,power_class(u))) || member(identity_relation,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  253535[5:SpR:253274.0,3364.1] || member(complement(power_class(universal_class)),universal_class) -> subclass(apply(element_relation,universal_class),complement(power_class(universal_class)))*.
% 299.72/300.41  253565[17:SpL:253274.0,196832.1] || member(complement(power_class(universal_class)),universal_class)* equal(rest_of(apply(element_relation,universal_class)),rest_relation) -> .
% 299.72/300.41  253570[5:SpL:253274.0,205353.1] || member(complement(power_class(universal_class)),universal_class)* equal(singleton(apply(element_relation,universal_class)),identity_relation) -> .
% 299.72/300.41  253579[5:Rew:253274.0,253534.0] || equal(apply(element_relation,universal_class),identity_relation) -> subclass(apply(element_relation,universal_class),complement(power_class(universal_class)))*.
% 299.72/300.41  253897[11:SpL:203228.1,251958.0] || equal(identity_relation,u) equal(v,complement(power_class(u)))* -> member(identity_relation,v)*.
% 299.72/300.41  253902[11:SpL:203228.1,251960.0] || equal(identity_relation,u) subclass(complement(power_class(u)),v)* -> member(identity_relation,v).
% 299.72/300.41  253950[5:SpR:203228.1,253376.1] || equal(identity_relation,u) equal(power_class(u),identity_relation)** -> subclass(power_class(identity_relation),v)*.
% 299.72/300.41  254017[5:SpR:203228.1,253987.1] || equal(identity_relation,u) equal(power_class(u),identity_relation)** -> asymmetric(power_class(identity_relation),v)*.
% 299.72/300.41  254041[7:SpR:251758.0,119684.0] ||  -> equal(intersection(image(element_relation,singleton(identity_relation)),universal_class),symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))))**.
% 299.72/300.41  254042[7:SpR:251758.0,22542.0] ||  -> subclass(symmetric_difference(image(element_relation,singleton(identity_relation)),universal_class),union(power_class(complement(singleton(identity_relation))),identity_relation))*.
% 299.72/300.41  254058[7:SpR:251758.0,249197.0] ||  -> equal(image(element_relation,image(element_relation,singleton(identity_relation))),complement(power_class(power_class(complement(singleton(identity_relation))))))**.
% 299.72/300.41  254073[7:SpR:251758.0,237395.0] ||  -> equal(intersection(image(element_relation,singleton(identity_relation)),intersection(u,power_class(complement(singleton(identity_relation))))),identity_relation)**.
% 299.72/300.41  254074[7:SpR:251758.0,237985.0] ||  -> equal(intersection(image(element_relation,singleton(identity_relation)),intersection(power_class(complement(singleton(identity_relation))),u)),identity_relation)**.
% 299.72/300.41  254075[7:SpR:251758.0,239572.0] ||  -> equal(intersection(intersection(power_class(complement(singleton(identity_relation))),u),image(element_relation,singleton(identity_relation))),identity_relation)**.
% 299.72/300.41  254090[7:SpR:251758.0,162506.1] ||  -> member(u,power_class(complement(singleton(identity_relation)))) subclass(singleton(u),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.41  254092[7:SpR:251758.0,238781.0] ||  -> equal(intersection(intersection(u,power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation))),identity_relation)**.
% 299.72/300.41  254120[7:SpL:251758.0,165324.0] || equal(image(element_relation,singleton(identity_relation)),universal_class)** -> equal(power_class(complement(singleton(identity_relation))),identity_relation).
% 299.72/300.41  254124[7:SpL:251758.0,3957.1] inductive(power_class(complement(singleton(identity_relation)))) || equal(image(element_relation,singleton(identity_relation)),universal_class)** -> .
% 299.72/300.41  254163[14:SpL:251758.0,178302.1] inductive(power_class(complement(singleton(identity_relation)))) || equal(image(element_relation,singleton(identity_relation)),omega)** -> .
% 299.72/300.41  254166[7:SpL:251758.0,176819.0] || well_ordering(universal_class,image(element_relation,singleton(identity_relation)))* -> member(identity_relation,power_class(complement(singleton(identity_relation)))).
% 299.72/300.41  254179[7:SpL:251758.0,202624.0] || subclass(image(element_relation,singleton(identity_relation)),identity_relation) -> member(omega,power_class(complement(singleton(identity_relation))))*.
% 299.72/300.41  254180[7:SpL:251758.0,202413.0] || subclass(image(element_relation,singleton(identity_relation)),identity_relation) -> member(identity_relation,power_class(complement(singleton(identity_relation))))*.
% 299.72/300.41  254267[15:MRR:254266.2,191629.0] single_valued_class(power_class(complement(singleton(identity_relation)))) || equal(image(element_relation,singleton(identity_relation)),universal_class)** -> .
% 299.72/300.41  254298[5:SpR:251759.0,119684.0] ||  -> equal(intersection(image(element_relation,symmetrization_of(identity_relation)),universal_class),symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))))**.
% 299.72/300.41  254299[5:SpR:251759.0,22542.0] ||  -> subclass(symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),universal_class),union(power_class(complement(inverse(identity_relation))),identity_relation))*.
% 299.72/300.41  254315[5:SpR:251759.0,249197.0] ||  -> equal(image(element_relation,image(element_relation,symmetrization_of(identity_relation))),complement(power_class(power_class(complement(inverse(identity_relation))))))**.
% 299.72/300.41  254330[5:SpR:251759.0,237395.0] ||  -> equal(intersection(image(element_relation,symmetrization_of(identity_relation)),intersection(u,power_class(complement(inverse(identity_relation))))),identity_relation)**.
% 299.72/300.41  254331[5:SpR:251759.0,237985.0] ||  -> equal(intersection(image(element_relation,symmetrization_of(identity_relation)),intersection(power_class(complement(inverse(identity_relation))),u)),identity_relation)**.
% 299.72/300.41  254332[5:SpR:251759.0,239572.0] ||  -> equal(intersection(intersection(power_class(complement(inverse(identity_relation))),u),image(element_relation,symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.41  254347[5:SpR:251759.0,162506.1] ||  -> member(u,power_class(complement(inverse(identity_relation)))) subclass(singleton(u),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.41  254349[5:SpR:251759.0,238781.0] ||  -> equal(intersection(intersection(u,power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.41  254376[5:SpL:251759.0,165324.0] || equal(image(element_relation,symmetrization_of(identity_relation)),universal_class)** -> equal(power_class(complement(inverse(identity_relation))),identity_relation).
% 299.72/300.41  254380[5:SpL:251759.0,3957.1] inductive(power_class(complement(inverse(identity_relation)))) || equal(image(element_relation,symmetrization_of(identity_relation)),universal_class)** -> .
% 299.72/300.41  254419[14:SpL:251759.0,178302.1] inductive(power_class(complement(inverse(identity_relation)))) || equal(image(element_relation,symmetrization_of(identity_relation)),omega)** -> .
% 299.72/300.41  254422[7:SpL:251759.0,176819.0] || well_ordering(universal_class,image(element_relation,symmetrization_of(identity_relation)))* -> member(identity_relation,power_class(complement(inverse(identity_relation)))).
% 299.72/300.41  254435[5:SpL:251759.0,202624.0] || subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation) -> member(omega,power_class(complement(inverse(identity_relation))))*.
% 299.72/300.41  254436[7:SpL:251759.0,202413.0] || subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation) -> member(identity_relation,power_class(complement(inverse(identity_relation))))*.
% 299.72/300.41  254523[15:MRR:254522.2,191629.0] single_valued_class(power_class(complement(inverse(identity_relation)))) || equal(image(element_relation,symmetrization_of(identity_relation)),universal_class)** -> .
% 299.72/300.41  255307[0:Res:176.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(singleton(w)),v)*.
% 299.72/300.41  255312[5:Res:205135.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(power_class(identity_relation)),v)*.
% 299.72/300.41  255607[7:SpL:581.0,254840.0] || equal(complement(complement(intersection(complement(singleton(identity_relation)),union(u,v)))),singleton(identity_relation))** -> .
% 299.72/300.41  255632[7:Res:230404.0,254848.0] ||  -> equal(singleton(successor(singleton(identity_relation))),identity_relation) member(identity_relation,complement(singleton(successor(singleton(identity_relation)))))*.
% 299.72/300.41  255781[7:Res:230404.0,254863.0] ||  -> equal(singleton(symmetrization_of(singleton(identity_relation))),identity_relation) member(identity_relation,complement(singleton(symmetrization_of(singleton(identity_relation)))))*.
% 299.72/300.41  255815[16:Res:5288.2,255803.0] || subclass(omega,complement(range_of(identity_relation))) -> equal(integer_of(regular(successor(range_of(identity_relation)))),identity_relation)**.
% 299.72/300.41  255999[17:Obv:255983.1] ||  -> equal(integer_of(u),identity_relation) subclass(unordered_pair(v,u),omega)* equal(domain_of(v),identity_relation).
% 299.72/300.41  256000[17:Obv:255984.1] ||  -> equal(integer_of(u),identity_relation) subclass(unordered_pair(v,u),omega)* equal(cantor(v),identity_relation).
% 299.72/300.41  256001[5:Obv:255987.1] ||  -> equal(integer_of(u),identity_relation) equal(integer_of(v),identity_relation) subclass(unordered_pair(v,u),omega)*.
% 299.72/300.41  256002[5:Obv:255994.2] || member(u,omega) -> equal(integer_of(v),identity_relation) subclass(unordered_pair(u,v),omega)*.
% 299.72/300.41  256093[5:SpL:202351.1,242206.0] || equal(cross_product(singleton(singleton(u)),universal_class),identity_relation)** equal(domain_of(universal_class),universal_class) -> .
% 299.72/300.41  256191[7:MRR:256108.2,125638.0] || subclass(singleton(identity_relation),regular(u))* member(identity_relation,u) -> equal(u,identity_relation).
% 299.72/300.41  256192[20:MRR:256163.2,212333.0] || subclass(universal_class,u) subclass(symmetrization_of(identity_relation),regular(u))* -> equal(u,identity_relation).
% 299.72/300.41  256222[5:MRR:256221.3,225093.0] || subclass(u,regular(complement(v)))* -> member(regular(u),v) equal(u,identity_relation).
% 299.72/300.41  256284[17:Obv:256267.1] ||  -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega)* equal(domain_of(v),identity_relation).
% 299.72/300.41  256285[17:Obv:256268.1] ||  -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega)* equal(cantor(v),identity_relation).
% 299.72/300.41  256287[5:Obv:256279.2] || member(u,omega) -> equal(integer_of(v),identity_relation) subclass(unordered_pair(v,u),omega)*.
% 299.72/300.41  256320[5:Obv:256297.1] || subclass(intersection(singleton(u),v),u)* -> equal(intersection(singleton(u),v),identity_relation).
% 299.72/300.41  256321[5:Obv:256298.1] || subclass(intersection(u,singleton(v)),v)* -> equal(intersection(u,singleton(v)),identity_relation).
% 299.72/300.41  256335[5:Obv:256326.1] || equal(intersection(singleton(u),v),u)** -> equal(intersection(singleton(u),v),identity_relation).
% 299.72/300.41  256336[5:Obv:256327.1] || equal(intersection(u,singleton(v)),v)** -> equal(intersection(u,singleton(v)),identity_relation).
% 299.72/300.41  256358[5:Res:165860.0,256316.0] ||  -> subclass(singleton(complement(inverse(identity_relation))),symmetrization_of(identity_relation))* equal(singleton(complement(inverse(identity_relation))),identity_relation).
% 299.72/300.41  256361[5:Res:118490.1,256316.0] || member(symmetric_difference(universal_class,u),complement(u))* -> equal(singleton(symmetric_difference(universal_class,u)),identity_relation).
% 299.72/300.41  256368[5:Res:29474.1,256316.0] || member(cantor(inverse(u)),range_of(u))* -> equal(singleton(cantor(inverse(u))),identity_relation).
% 299.72/300.41  256440[5:MRR:256365.0,16080.1] ||  -> equal(apply(u,domain_of(u)),sum_class(range_of(identity_relation)))** equal(singleton(domain_of(u)),identity_relation).
% 299.72/300.41  256443[5:MRR:256384.3,205411.1] || member(u,universal_class) subclass(u,apply(choice,u))* -> equal(u,identity_relation).
% 299.72/300.41  256444[5:MRR:256389.3,205357.2] function(u) || member(v,universal_class) subclass(universal_class,image(u,v))* -> .
% 299.72/300.41  256525[0:Res:176.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(singleton(w)),v)*.
% 299.72/300.41  256530[5:Res:205135.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(power_class(identity_relation)),v)*.
% 299.72/300.41  256656[5:Res:8453.1,3675.0] || equal(apply(u,v),identity_relation) -> section(element_relation,image(u,singleton(v)),universal_class)*.
% 299.72/300.41  257272[5:MRR:257174.2,29469.1] || member(u,complement(image(successor_relation,universal_class)))* member(u,complement(singleton(identity_relation))) -> .
% 299.72/300.41  257277[17:MRR:257276.1,29469.1] function(u) || member(v,complement(u))* member(v,successor(u)) -> .
% 299.72/300.41  257361[17:MRR:257353.3,47782.0] inductive(ordered_pair(u,identity_relation)) || member(u,universal_class)* subclass(domain_relation,omega) -> .
% 299.72/300.41  257408[5:SpR:47789.0,12.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) member(regular(ordered_pair(u,v)),universal_class)*.
% 299.72/300.41  257669[5:SpL:69.0,256426.1] || member(image(u,singleton(v)),universal_class)* subclass(universal_class,apply(u,v)) -> .
% 299.72/300.41  258087[17:Rew:118446.0,258033.2,118446.0,258033.1] || well_ordering(u,universal_class) -> equal(v,identity_relation) equal(cantor(least(u,v)),identity_relation)**.
% 299.72/300.41  258088[17:Rew:118446.0,258034.2,118446.0,258034.1] || well_ordering(u,universal_class) -> equal(v,identity_relation) equal(domain_of(least(u,v)),identity_relation)**.
% 299.72/300.41  258405[5:MRR:258393.3,258097.1] || well_ordering(u,universal_class) subclass(v,least(u,v))* -> equal(v,identity_relation).
% 299.72/300.41  258621[5:Rew:22454.0,258531.1,118455.0,258531.0] || member(u,union(v,identity_relation))* subclass(universal_class,w) -> member(u,w)*.
% 299.72/300.41  258623[5:Rew:22454.0,258542.1,122360.0,258542.0] || member(u,complement(complement(v)))* subclass(universal_class,w) -> member(u,w)*.
% 299.72/300.41  258982[5:SpL:69.0,258449.0] || equal(apply(u,v),universal_class) -> equal(singleton(image(u,singleton(v))),identity_relation)**.
% 299.72/300.41  259037[5:Res:86994.1,256317.0] || equal(cantor(inverse(u)),singleton(range_of(u)))** -> equal(singleton(range_of(u)),identity_relation).
% 299.72/300.41  259105[5:Res:256424.0,3924.0] || subclass(u,v)* well_ordering(universal_class,v)* -> equal(singleton(complement(u)),identity_relation)**.
% 299.72/300.41  259108[5:Res:256424.0,2.0] || subclass(u,v) -> equal(singleton(complement(u)),identity_relation) member(complement(u),v)*.
% 299.72/300.41  259113[5:Res:256424.0,222432.0] ||  -> equal(singleton(complement(complement(complement(u)))),identity_relation) member(complement(complement(complement(u))),u)*.
% 299.72/300.41  259115[5:Res:256424.0,22.0] ||  -> equal(singleton(complement(intersection(u,v))),identity_relation) member(complement(intersection(u,v)),u)*.
% 299.72/300.41  259116[5:Res:256424.0,23.0] ||  -> equal(singleton(complement(intersection(u,v))),identity_relation) member(complement(intersection(u,v)),v)*.
% 299.72/300.41  259160[5:Rew:118447.0,259076.1] ||  -> member(union(u,identity_relation),symmetric_difference(universal_class,u))* equal(singleton(union(u,identity_relation)),identity_relation).
% 299.72/300.41  259549[5:Obv:259524.1] || equal(u,v) -> equal(integer_of(v),identity_relation) subclass(unordered_pair(v,u),omega)*.
% 299.72/300.41  259550[0:Obv:259534.2] || equal(u,v) member(v,w) -> subclass(unordered_pair(v,u),w)*.
% 299.72/300.41  259553[0:Obv:259523.1] || equal(u,v) -> member(v,w) subclass(unordered_pair(v,u),complement(w))*.
% 299.72/300.41  259669[17:Obv:259642.1] || member(u,v) -> subclass(unordered_pair(w,u),v)* equal(domain_of(w),identity_relation).
% 299.72/300.41  259670[17:Obv:259643.1] || member(u,v) -> subclass(unordered_pair(w,u),v)* equal(cantor(w),identity_relation).
% 299.72/300.41  259672[0:Obv:259658.2] || member(u,v) member(w,v) -> subclass(unordered_pair(w,u),v)*.
% 299.72/300.41  259703[5:SpL:202351.1,242207.0] || equal(cross_product(singleton(singleton(u)),universal_class),identity_relation)** subclass(universal_class,domain_of(universal_class)) -> .
% 299.72/300.41  259727[5:SpL:202351.1,244083.0] || equal(cross_product(singleton(singleton(u)),universal_class),identity_relation)** equal(cantor(universal_class),universal_class) -> .
% 299.72/300.41  259742[5:SpL:202351.1,244084.0] || equal(cross_product(singleton(singleton(u)),universal_class),identity_relation)** subclass(universal_class,cantor(universal_class)) -> .
% 299.72/300.41  259779[17:Obv:259751.1] || member(u,v) -> subclass(unordered_pair(u,w),v)* equal(domain_of(w),identity_relation).
% 299.72/300.41  259780[17:Obv:259752.1] || member(u,v) -> subclass(unordered_pair(u,w),v)* equal(cantor(w),identity_relation).
% 299.72/300.41  259813[5:SpL:202351.1,256102.0] || equal(cross_product(singleton(singleton(u)),universal_class),identity_relation)** equal(rest_of(universal_class),rest_relation) -> .
% 299.72/300.41  259916[0:Obv:259897.1] || subclass(u,symmetric_difference(v,w)) -> subclass(u,intersection(union(v,w),u))*.
% 299.72/300.41  260150[11:SpL:203228.1,259981.0] || equal(identity_relation,u) equal(complement(intersection(successor(v),power_class(u))),identity_relation)** -> .
% 299.72/300.41  260174[11:SpL:203228.1,260152.0] || equal(identity_relation,u) equal(complement(intersection(singleton(identity_relation),power_class(u))),identity_relation)** -> .
% 299.72/300.41  260188[11:SpL:203228.1,259983.0] || equal(identity_relation,u) equal(complement(intersection(symmetrization_of(v),power_class(u))),identity_relation)** -> .
% 299.72/300.41  260438[5:MRR:260348.2,205351.0] || subclass(u,not_subclass_element(intersection(v,u),w))* -> subclass(intersection(v,u),w).
% 299.72/300.41  260447[0:Obv:260356.1] || subclass(u,v) -> subclass(intersection(w,u),intersection(v,intersection(w,u)))*.
% 299.72/300.41  260646[5:Res:260484.1,8.0] || subclass(universal_class,u) subclass(u,cantor(v))* -> equal(u,cantor(v)).
% 299.72/300.41  260725[5:Res:260493.1,256433.0] || subclass(universal_class,not_subclass_element(symmetric_difference(universal_class,u),v))* -> subclass(symmetric_difference(universal_class,u),v).
% 299.72/300.41  261034[0:Obv:260922.0] ||  -> subclass(intersection(u,intersection(v,w)),intersection(w,intersection(u,intersection(v,w))))*.
% 299.72/300.41  261602[0:Obv:261492.0] ||  -> subclass(intersection(u,intersection(v,w)),intersection(v,intersection(u,intersection(v,w))))*.
% 299.72/300.41  261639[0:SpR:939.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(cross_product(v,w),x)),complement(restrict(x,v,w)))*.
% 299.72/300.41  261640[0:SpR:938.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(v,cross_product(w,x))),complement(restrict(v,w,x)))*.
% 299.72/300.41  262082[5:MRR:261992.2,205351.0] || subclass(u,not_subclass_element(intersection(u,v),w))* -> subclass(intersection(u,v),w).
% 299.72/300.41  262090[0:Obv:262000.1] || subclass(u,v) -> subclass(intersection(u,w),intersection(v,intersection(u,w)))*.
% 299.72/300.41  262509[0:Obv:262396.0] ||  -> subclass(intersection(intersection(u,v),w),intersection(v,intersection(intersection(u,v),w)))*.
% 299.72/300.41  262821[0:Res:262607.0,773.1] || member(u,universal_class) -> member(u,complement(intersection(v,w)))* member(u,w).
% 299.72/300.41  263198[0:Obv:263087.0] ||  -> subclass(intersection(intersection(u,v),w),intersection(u,intersection(intersection(u,v),w)))*.
% 299.72/300.41  263387[0:SpR:939.0,263102.0] ||  -> subclass(intersection(symmetric_difference(cross_product(u,v),w),x),complement(restrict(w,u,v)))*.
% 299.72/300.41  263388[0:SpR:938.0,263102.0] ||  -> subclass(intersection(symmetric_difference(u,cross_product(v,w)),x),complement(restrict(u,v,w)))*.
% 299.72/300.41  263688[5:Res:263652.0,773.1] || member(u,universal_class) -> member(u,complement(symmetrization_of(identity_relation)))* member(u,inverse(identity_relation)).
% 299.72/300.41  263820[5:SpR:249200.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,union(u,complement(power_class(v)))),intersection(complement(u),power_class(v)))*.
% 299.72/300.41  263821[5:SpR:249208.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,union(complement(power_class(u)),v)),intersection(power_class(u),complement(v)))*.
% 299.72/300.41  263847[5:Res:263738.0,8.0] || subclass(u,symmetric_difference(universal_class,complement(u)))* -> equal(symmetric_difference(universal_class,complement(u)),u).
% 299.72/300.41  263946[0:Res:263745.0,773.1] || member(u,universal_class) -> member(u,complement(complement(complement(v))))* member(u,v).
% 299.72/300.41  264040[0:SpR:939.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(cross_product(u,v),w))),complement(restrict(w,u,v)))*.
% 299.72/300.41  264041[0:SpR:938.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(u,cross_product(v,w)))),complement(restrict(u,v,w)))*.
% 299.72/300.41  264115[0:Res:263450.0,773.1] || member(u,universal_class) -> member(u,complement(intersection(v,w)))* member(u,v).
% 299.72/300.41  264362[0:SpR:249200.0,264292.0] ||  -> subclass(complement(successor(intersection(complement(u),power_class(v)))),union(u,complement(power_class(v))))*.
% 299.72/300.41  264363[0:SpR:249208.0,264292.0] ||  -> subclass(complement(successor(intersection(power_class(u),complement(v)))),union(complement(power_class(u)),v))*.
% 299.72/300.41  264392[0:Res:264292.0,8.0] || subclass(complement(u),complement(successor(u)))* -> equal(complement(successor(u)),complement(u)).
% 299.72/300.41  264416[0:SpR:249200.0,264294.0] ||  -> subclass(complement(symmetrization_of(intersection(complement(u),power_class(v)))),union(u,complement(power_class(v))))*.
% 299.72/300.41  264417[0:SpR:249208.0,264294.0] ||  -> subclass(complement(symmetrization_of(intersection(power_class(u),complement(v)))),union(complement(power_class(u)),v))*.
% 299.72/300.41  264442[0:Res:264294.0,8.0] || subclass(complement(u),complement(symmetrization_of(u)))* -> equal(complement(symmetrization_of(u)),complement(u)).
% 299.72/300.41  264471[5:Rew:22457.0,264464.1] || equal(image(successor_relation,universal_class),identity_relation) -> equal(symmetric_difference(complement(singleton(identity_relation)),universal_class),universal_class)**.
% 299.72/300.41  264606[5:Res:5.0,183412.0] || well_ordering(omega,universal_class) -> equal(integer_of(ordered_pair(singleton(u),least(omega,universal_class))),identity_relation)**.
% 299.72/300.41  264706[7:SpR:189471.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,image(element_relation,singleton(identity_relation)))),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.41  264708[5:SpR:122494.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation)))),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.41  264709[5:SpR:249206.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,image(element_relation,power_class(v)))),power_class(complement(power_class(v))))*.
% 299.72/300.41  264711[7:SpR:251758.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,power_class(complement(singleton(identity_relation))))),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.41  264712[5:SpR:251759.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,power_class(complement(inverse(identity_relation))))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.41  264838[7:SpR:189471.0,263389.0] ||  -> subclass(intersection(symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))),u),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.41  264840[5:SpR:122494.0,263389.0] ||  -> subclass(intersection(symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))),u),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.41  264841[5:SpR:249206.0,263389.0] ||  -> subclass(intersection(symmetric_difference(universal_class,image(element_relation,power_class(u))),v),power_class(complement(power_class(u))))*.
% 299.72/300.41  264843[7:SpR:251758.0,263389.0] ||  -> subclass(intersection(symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))),u),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.41  264844[5:SpR:251759.0,263389.0] ||  -> subclass(intersection(symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))),u),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.41  264965[5:Res:263560.1,134.1] || equal(complement(u),identity_relation) subclass(u,v) -> section(w,u,v)*.
% 299.72/300.41  265224[5:Res:263560.1,720.1] function(u) || equal(complement(u),identity_relation)** -> equal(cross_product(universal_class,universal_class),u)*.
% 299.72/300.41  265434[5:Rew:264943.1,257467.1] || equal(complement(regular(regular(ordered_pair(u,v)))),identity_relation)** -> equal(singleton(u),identity_relation).
% 299.72/300.41  265449[5:Rew:265197.1,257462.1] || equal(complement(complement(regular(ordered_pair(u,v)))),identity_relation)** -> equal(singleton(u),identity_relation).
% 299.72/300.41  265780[20:SpL:265660.0,122838.1] || subclass(rest_relation,rest_of(regular(complement(complement(symmetrization_of(identity_relation))))))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.41  265806[20:MRR:265759.2,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(regular(complement(complement(symmetrization_of(identity_relation))))))* -> .
% 299.72/300.41  265818[0:SpR:27.0,262147.0] ||  -> subclass(restrict(complement(union(u,v)),w,x),intersection(complement(u),complement(v)))*.
% 299.72/300.41  266581[0:Res:53.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(omega,omega)),second(ordered_pair(omega,omega))),ordered_pair(omega,omega))**.
% 299.72/300.41  266587[5:Res:5265.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(identity_relation,omega)),second(ordered_pair(identity_relation,omega))),ordered_pair(identity_relation,omega))**.
% 299.72/300.41  266914[0:Con:266906.0] || member(u,universal_class) subclass(composition_function,rest_of(v)) -> member(u,domain_of(v))*.
% 299.72/300.41  267115[5:MRR:267073.1,5265.0] || equal(complement(u),identity_relation) subclass(universal_class,regular(u))* -> equal(u,identity_relation).
% 299.72/300.41  267178[7:MRR:255636.1,267177.0] || member(regular(union(u,complement(singleton(identity_relation)))),intersection(complement(u),singleton(identity_relation)))* -> .
% 299.72/300.41  267224[9:MRR:255637.1,267223.0] || member(regular(union(u,complement(inverse(identity_relation)))),intersection(complement(u),symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  267314[7:MRR:255659.1,267313.0] || member(regular(union(complement(singleton(identity_relation)),u)),intersection(singleton(identity_relation),complement(u)))* -> .
% 299.72/300.41  267369[9:MRR:255660.1,267368.0] || member(regular(union(complement(inverse(identity_relation)),u)),intersection(symmetrization_of(identity_relation),complement(u)))* -> .
% 299.72/300.41  267543[5:Res:3728.1,263650.0] || equal(sum_class(symmetrization_of(identity_relation)),symmetrization_of(identity_relation)) -> subclass(sum_class(symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.72/300.41  267722[5:Res:201827.1,2159.0] || subclass(complement(composition_function),identity_relation) -> equal(compose(singleton(ordered_pair(u,v)),u),v)**.
% 299.72/300.41  267726[0:Res:122840.1,2159.0] || well_ordering(universal_class,complement(composition_function)) -> equal(compose(singleton(ordered_pair(u,v)),u),v)**.
% 299.72/300.41  267729[15:Rew:2159.1,267707.1,233634.0,267707.1] || member(singleton(singleton(singleton(ordered_pair(u,universal_class)))),composition_function)* -> equal(range_of(identity_relation),universal_class).
% 299.72/300.41  267734[15:Rew:267729.1,267733.1] || member(singleton(singleton(singleton(ordered_pair(u,universal_class)))),composition_function)* -> equal(sum_class(universal_class),universal_class).
% 299.72/300.41  268223[0:Con:268215.0] || member(u,universal_class)* subclass(composition_function,cross_product(v,w))* -> member(u,v)*.
% 299.72/300.41  268838[5:SpL:5338.1,268520.0] || equal(successor(regular(cross_product(u,v))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  268923[5:Obv:268906.1] || subclass(u,v) -> equal(intersection(u,regular(v)),identity_relation)** equal(v,identity_relation).
% 299.72/300.41  269009[11:SpL:203228.1,268516.0] || equal(identity_relation,u) equal(successor(singleton(regular(complement(power_class(u))))),identity_relation)** -> .
% 299.72/300.41  269101[5:Obv:269086.1] || subclass(u,v) -> equal(intersection(regular(v),u),identity_relation)** equal(v,identity_relation).
% 299.72/300.41  269816[5:SpL:5338.1,269412.0] || equal(symmetrization_of(regular(cross_product(u,v))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  269858[17:Res:53.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(omega,identity_relation),v)*.
% 299.72/300.41  270005[11:SpL:203228.1,269408.0] || equal(identity_relation,u) equal(symmetrization_of(singleton(regular(complement(power_class(u))))),identity_relation)** -> .
% 299.72/300.41  270097[0:SpR:251233.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(power_class(u),complement(v)))),union(complement(power_class(u)),v))*.
% 299.72/300.41  270114[0:SpR:251233.0,263102.0] ||  -> subclass(intersection(symmetric_difference(power_class(u),complement(v)),w),union(complement(power_class(u)),v))*.
% 299.72/300.41  270135[0:SpR:251233.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(power_class(v),complement(w))),union(complement(power_class(v)),w))*.
% 299.72/300.41  21053[0:SpL:941.0,817.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v)))* -> member(singleton(w),union(u,v))*.
% 299.72/300.41  21061[0:SpL:941.0,4131.0] || equal(symmetric_difference(complement(u),complement(v)),universal_class) -> member(singleton(w),union(u,v))*.
% 299.72/300.41  8873[0:SpR:932.0,8337.0] ||  -> subclass(symmetric_difference(complement(intersection(u,singleton(u))),successor(u)),complement(symmetric_difference(u,singleton(u))))*.
% 299.72/300.41  47895[0:Res:779.1,8165.1] || subclass(universal_class,intersection(u,v)) member(ordered_pair(w,x),symmetric_difference(u,v))* -> .
% 299.72/300.41  47905[0:Res:24.2,8165.1] || member(u,v) member(u,w) member(u,symmetric_difference(w,v))* -> .
% 299.72/300.41  34682[0:Rew:2147.1,34681.1] || member(u,v) member(u,w) -> subclass(singleton(u),intersection(w,v))*.
% 299.72/300.41  118489[5:Rew:118446.0,29505.0] || member(u,complement(v))* subclass(symmetric_difference(universal_class,v),w)* -> member(u,w)*.
% 299.72/300.41  874[0:SpL:27.0,790.0] || subclass(universal_class,union(u,v)) member(omega,intersection(complement(u),complement(v)))* -> .
% 299.72/300.41  914[0:SpL:27.0,889.0] || equal(complement(union(u,v)),universal_class) -> member(omega,intersection(complement(u),complement(v)))*.
% 299.72/300.41  27250[5:SpL:27.0,27188.1] || equal(intersection(complement(u),complement(v)),universal_class)** equal(union(u,v),domain_relation) -> .
% 299.72/300.41  3789[0:Res:3780.1,2.0] || equal(complement(complement(u)),universal_class)** subclass(u,v)* -> member(singleton(w),v)*.
% 299.72/300.41  5168[0:Res:3780.1,944.0] || equal(complement(complement(symmetric_difference(u,v))),universal_class) -> member(singleton(w),union(u,v))*.
% 299.72/300.41  41160[0:Res:3780.1,8898.0] || equal(complement(complement(symmetric_difference(u,singleton(u)))),universal_class)** -> member(singleton(v),successor(u))*.
% 299.72/300.41  27288[5:SpL:27.0,27247.1] || equal(intersection(complement(u),complement(v)),domain_relation)** equal(union(u,v),domain_relation) -> .
% 299.72/300.41  27171[5:SpL:27.0,27118.1] || subclass(domain_relation,intersection(complement(u),complement(v)))* subclass(domain_relation,union(u,v)) -> .
% 299.72/300.41  3673[0:SpL:27.0,3615.1] || subclass(universal_class,intersection(complement(u),complement(v)))* subclass(universal_class,union(u,v)) -> .
% 299.72/300.41  27157[5:SpL:27.0,27099.1] || subclass(universal_class,intersection(complement(u),complement(v)))* subclass(domain_relation,union(u,v)) -> .
% 299.72/300.41  126286[5:SpL:27.0,40248.1] || subclass(domain_relation,intersection(complement(u),complement(v)))* subclass(universal_class,union(u,v)) -> .
% 299.72/300.41  126838[0:SpL:27.0,124986.1] || equal(intersection(complement(u),complement(v)),universal_class)** subclass(universal_class,union(u,v)) -> .
% 299.72/300.41  47751[0:Res:783.1,23.0] || subclass(ordered_pair(u,v),intersection(w,x))* -> member(unordered_pair(u,singleton(v)),x).
% 299.72/300.41  47757[5:Res:783.1,29473.0] || subclass(ordered_pair(u,v),domain_of(w)) -> member(unordered_pair(u,singleton(v)),cantor(w))*.
% 299.72/300.41  47747[0:Res:783.1,25.1] || subclass(ordered_pair(u,v),complement(w)) member(unordered_pair(u,singleton(v)),w)* -> .
% 299.72/300.41  47750[0:Res:783.1,22.0] || subclass(ordered_pair(u,v),intersection(w,x))* -> member(unordered_pair(u,singleton(v)),w).
% 299.72/300.41  40925[0:SpL:160.0,1003.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(unordered_pair(w,x),complement(intersection(u,v)))*.
% 299.72/300.41  47894[0:Res:762.1,8165.1] || subclass(universal_class,intersection(u,v)) member(unordered_pair(w,x),symmetric_difference(u,v))* -> .
% 299.72/300.41  32914[5:Res:766.2,29473.0] || subclass(u,domain_of(v)) -> subclass(u,w) member(not_subclass_element(u,w),cantor(v))*.
% 299.72/300.41  45839[5:Rew:39.0,45789.1,22667.0,45789.0] || member(not_subclass_element(u,inverse(v)),intersection(inverse(v),universal_class))* -> subclass(u,inverse(v)).
% 299.72/300.41  47643[0:Res:29726.0,1054.0] ||  -> subclass(complement(complement(singleton(u))),v) equal(not_subclass_element(complement(complement(singleton(u))),v),u)**.
% 299.72/300.41  36375[0:SpL:2089.1,3649.0] || equal(complement(not_subclass_element(cross_product(u,v),w)),universal_class)** -> subclass(cross_product(u,v),w).
% 299.72/300.41  36374[0:SpL:2089.1,3626.0] || subclass(universal_class,complement(not_subclass_element(cross_product(u,v),w)))* -> subclass(cross_product(u,v),w).
% 299.72/300.41  118179[0:MRR:118130.0,29531.1] ||  -> member(not_subclass_element(u,intersection(complement(v),u)),v)* subclass(u,intersection(complement(v),u)).
% 299.72/300.41  102812[0:Res:45819.1,772.1] || subclass(singleton(u),cantor(v))* member(u,universal_class) -> member(u,domain_of(v)).
% 299.72/300.41  46153[0:SpR:123.0,45887.0] ||  -> subclass(restrict(cantor(restrict(u,v,singleton(w))),x,y),segment(u,v,w))*.
% 299.72/300.41  8386[0:Res:779.1,595.0] || subclass(universal_class,restrict(u,v,w))* -> member(ordered_pair(x,y),cross_product(v,w))*.
% 299.72/300.41  22776[5:Rew:22446.0,8741.0] ||  -> subclass(symmetric_difference(segment(u,v,w),universal_class),complement(cantor(restrict(u,v,singleton(w)))))*.
% 299.72/300.41  79050[0:Res:45819.1,8.0] || subclass(u,cantor(v))* subclass(domain_of(v),u)* -> equal(domain_of(v),u).
% 299.72/300.41  41210[0:SpL:39.0,41200.1] || equal(complement(rest_of(flip(cross_product(u,universal_class)))),universal_class)** member(v,inverse(u))* -> .
% 299.72/300.41  8811[0:SpR:931.0,8337.0] ||  -> subclass(symmetric_difference(complement(intersection(u,inverse(u))),symmetrization_of(u)),complement(symmetric_difference(u,inverse(u))))*.
% 299.72/300.41  41051[0:Res:3780.1,8834.0] || equal(complement(complement(symmetric_difference(u,inverse(u)))),universal_class)** -> member(singleton(v),symmetrization_of(u))*.
% 299.72/300.41  146220[0:SpR:145868.1,160.0] || subclass(u,v) -> equal(intersection(complement(u),union(v,u)),symmetric_difference(v,u))**.
% 299.72/300.41  146229[0:SpR:145868.1,29.0] || subclass(cross_product(u,v),w)* -> equal(restrict(w,u,v),cross_product(u,v)).
% 299.72/300.41  146237[0:SpR:145868.1,943.1] || subclass(u,v) member(w,symmetric_difference(v,u))* -> member(w,complement(u)).
% 299.72/300.41  146277[0:SpL:145868.1,8165.1] || subclass(u,v) member(w,symmetric_difference(v,u))* member(w,u) -> .
% 299.72/300.41  146504[5:Res:146436.1,8.0] || equal(inverse(u),universal_class) subclass(inverse(u),v)* -> equal(inverse(u),v).
% 299.72/300.41  146626[0:SpR:146022.0,943.1] || member(u,symmetric_difference(v,intersection(v,w)))* -> member(u,complement(intersection(v,w))).
% 299.72/300.41  146667[0:SpL:146022.0,8165.1] || member(u,symmetric_difference(v,intersection(v,w)))* member(u,intersection(v,w)) -> .
% 299.72/300.41  146750[0:SpR:146209.0,943.1] || member(u,symmetric_difference(v,intersection(w,v)))* -> member(u,complement(intersection(w,v))).
% 299.72/300.41  146792[0:SpL:146209.0,8165.1] || member(u,symmetric_difference(v,intersection(w,v)))* member(u,intersection(w,v)) -> .
% 299.72/300.41  147023[3:SpR:145868.1,4977.1] || subclass(inverse(u),u)* asymmetric(u,v) -> section(inverse(u),v,v)*.
% 299.72/300.41  149330[0:Res:144714.1,588.0] || equal(intersection(complement(u),complement(v)),universal_class)** member(omega,union(u,v)) -> .
% 299.72/300.41  150224[5:Res:144786.1,2.0] || equal(symmetric_difference(universal_class,u),universal_class) subclass(complement(u),v)* -> member(omega,v).
% 299.72/300.41  153301[5:Res:118490.1,4.0] || member(not_subclass_element(u,symmetric_difference(universal_class,v)),complement(v))* -> subclass(u,symmetric_difference(universal_class,v)).
% 299.72/300.41  160710[0:SpR:120682.0,77667.1] || equal(rest_of(cross_product(u,singleton(v))),rest_relation)** -> equal(segment(universal_class,u,v),universal_class).
% 299.72/300.41  160711[0:SpR:120682.0,79123.1] || equal(cantor(cross_product(u,singleton(v))),universal_class)** -> equal(segment(universal_class,u,v),universal_class).
% 299.72/300.41  160712[5:SpR:120682.0,122380.0] ||  -> equal(symmetric_difference(universal_class,cantor(cross_product(u,singleton(v)))),symmetric_difference(segment(universal_class,u,v),universal_class))**.
% 299.72/300.41  160720[0:SpR:120682.0,608.1] || member(u,cantor(cross_product(v,singleton(w))))* -> member(u,segment(universal_class,v,w)).
% 299.72/300.41  160721[0:SpR:120682.0,45819.1] || subclass(u,cantor(cross_product(v,singleton(w))))* -> subclass(u,segment(universal_class,v,w)).
% 299.72/300.41  160727[5:SpL:120682.0,145924.0] || equal(segment(universal_class,u,v),universal_class) -> equal(cantor(cross_product(u,singleton(v))),universal_class)**.
% 299.72/300.41  160729[5:SpL:120682.0,146240.0] || subclass(universal_class,segment(universal_class,u,v))* -> equal(cantor(cross_product(u,singleton(v))),universal_class).
% 299.72/300.41  160736[5:SpL:120682.0,29473.0] || member(u,segment(universal_class,v,w)) -> member(u,cantor(cross_product(v,singleton(w))))*.
% 299.72/300.41  162468[0:Res:122671.0,2.0] || subclass(u,v) -> subclass(w,complement(u)) member(not_subclass_element(w,complement(u)),v)*.
% 299.72/300.41  162474[0:Res:122671.0,22.0] ||  -> subclass(u,complement(intersection(v,w))) member(not_subclass_element(u,complement(intersection(v,w))),v)*.
% 299.72/300.41  162475[0:Res:122671.0,23.0] ||  -> subclass(u,complement(intersection(v,w))) member(not_subclass_element(u,complement(intersection(v,w))),w)*.
% 299.72/300.41  162485[0:Res:122671.0,158.0] ||  -> subclass(u,complement(omega)) equal(integer_of(not_subclass_element(u,complement(omega))),not_subclass_element(u,complement(omega)))**.
% 299.72/300.41  162709[0:Res:162506.1,8.0] || subclass(complement(u),singleton(v))* -> member(v,u) equal(complement(u),singleton(v)).
% 299.72/300.41  163432[5:Res:162500.1,8.0] || equal(complement(u),universal_class) subclass(complement(u),v)* -> equal(complement(u),v).
% 299.72/300.41  163605[5:Res:163531.1,8.0] || equal(power_class(u),universal_class) subclass(power_class(u),v)* -> equal(power_class(u),v).
% 299.72/300.41  32919[5:Res:5295.1,29473.0] ||  -> equal(intersection(u,domain_of(v)),identity_relation) member(regular(intersection(u,domain_of(v))),cantor(v))*.
% 299.72/300.41  32905[5:Res:5294.1,29473.0] ||  -> equal(intersection(domain_of(u),v),identity_relation) member(regular(intersection(domain_of(u),v)),cantor(u))*.
% 299.72/300.41  27425[5:Res:5220.1,22549.1] || member(regular(complement(compose(element_relation,universal_class))),element_relation)* -> equal(complement(compose(element_relation,universal_class)),identity_relation).
% 299.72/300.41  106263[5:Res:106230.1,816.1] || subclass(universal_class,complement(sum_class(singleton(singleton(u)))))* -> equal(sum_class(singleton(singleton(u))),identity_relation).
% 299.72/300.41  116725[5:MRR:116678.0,29542.1] ||  -> member(regular(complement(union(u,v))),complement(u))* equal(complement(union(u,v)),identity_relation).
% 299.72/300.41  117112[5:MRR:117057.0,29542.1] ||  -> member(regular(complement(union(u,v))),complement(v))* equal(complement(union(u,v)),identity_relation).
% 299.72/300.41  118776[5:Rew:118455.0,28505.1] inductive(symmetric_difference(identity_relation,intersection(complement(u),universal_class))) ||  -> member(identity_relation,complement(union(u,identity_relation)))*.
% 299.72/300.41  5547[5:Rew:5180.0,4810.2] || subclass(omega,u) subclass(universal_class,complement(u))* -> equal(integer_of(singleton(v)),identity_relation)**.
% 299.72/300.41  27820[5:Res:24559.0,5229.1] inductive(symmetric_difference(union(u,identity_relation),universal_class)) ||  -> member(identity_relation,complement(symmetric_difference(complement(u),universal_class)))*.
% 299.72/300.41  39412[5:Res:29628.0,29473.0] ||  -> equal(complement(complement(domain_of(u))),identity_relation) member(regular(complement(complement(domain_of(u)))),cantor(u))*.
% 299.72/300.41  39403[5:Res:29628.0,25.1] || member(regular(complement(complement(complement(u)))),u)* -> equal(complement(complement(complement(u))),identity_relation).
% 299.72/300.41  30555[5:Obv:30543.0] ||  -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation) member(u,universal_class).
% 299.72/300.41  30556[5:Obv:30544.0] ||  -> equal(regular(unordered_pair(u,v)),u)** equal(unordered_pair(u,v),identity_relation) member(v,universal_class).
% 299.72/300.41  28018[5:Res:25592.0,5229.1] inductive(symmetric_difference(complement(intersection(u,universal_class)),universal_class)) ||  -> member(identity_relation,complement(symmetric_difference(u,universal_class)))*.
% 299.72/300.41  5496[5:Rew:5180.0,3954.1] || subclass(universal_class,union(u,v)) member(identity_relation,intersection(complement(u),complement(v)))* -> .
% 299.72/300.41  5495[5:Rew:5180.0,4016.1] || equal(complement(union(u,v)),universal_class) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.72/300.41  122731[5:Rew:122359.0,118654.1] inductive(symmetric_difference(identity_relation,intersection(universal_class,complement(u)))) ||  -> member(identity_relation,complement(complement(complement(u))))*.
% 299.72/300.41  117443[5:Obv:117431.1] || subclass(symmetric_difference(u,v),complement(union(u,v)))* -> equal(symmetric_difference(u,v),identity_relation).
% 299.72/300.41  117939[5:Obv:117935.1] || subclass(restrict(u,v,w),complement(u))* -> equal(restrict(u,v,w),identity_relation).
% 299.72/300.41  8912[5:Res:8479.2,74.1] single_valued_class(inverse(u)) function(u) || equal(inverse(u),identity_relation)** -> one_to_one(u).
% 299.72/300.41  40064[5:SpL:5338.1,39996.0] || subclass(universal_class,complement(singleton(regular(cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  120689[5:SpR:119609.0,5243.2] || member(u,universal_class) -> member(u,domain_of(universal_class)) equal(cross_product(singleton(u),universal_class),identity_relation)**.
% 299.72/300.41  167222[5:Rew:118447.0,167173.1] ||  -> member(not_subclass_element(u,union(v,identity_relation)),symmetric_difference(universal_class,v))* subclass(u,union(v,identity_relation)).
% 299.72/300.41  120271[5:SpR:118447.0,26.2] || member(u,universal_class) -> member(u,symmetric_difference(universal_class,v))* member(u,union(v,identity_relation)).
% 299.72/300.41  164672[5:Rew:118447.0,153010.1] || member(u,symmetric_difference(complement(v),symmetric_difference(universal_class,v)))* -> member(u,union(v,identity_relation)).
% 299.72/300.41  47900[5:Res:5220.1,8165.1] || member(regular(intersection(u,v)),symmetric_difference(u,v))* -> equal(intersection(u,v),identity_relation).
% 299.72/300.41  167923[5:Res:5288.2,119659.0] || subclass(omega,symmetric_difference(universal_class,u))* member(v,u)* -> equal(integer_of(v),identity_relation).
% 299.72/300.41  167924[5:Res:5288.2,119626.0] || subclass(omega,symmetric_difference(universal_class,u))* -> equal(integer_of(v),identity_relation) member(v,complement(u))*.
% 299.72/300.41  52015[5:MRR:51992.0,29542.1] || subclass(rest_relation,rest_of(u))* -> equal(regular(domain_of(u)),identity_relation) equal(domain_of(u),identity_relation).
% 299.72/300.41  34822[5:Res:32904.1,2.0] || subclass(cantor(u),v) -> equal(domain_of(u),identity_relation) member(regular(domain_of(u)),v)*.
% 299.72/300.41  15983[5:Res:5588.1,2.0] || subclass(domain_of(u),v) -> equal(cantor(u),identity_relation) member(regular(cantor(u)),v)*.
% 299.72/300.41  23477[5:Res:5196.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v)))* member(identity_relation,union(u,v)) -> .
% 299.72/300.41  166521[5:Res:119647.1,588.0] || equal(intersection(complement(u),complement(v)),universal_class)** member(identity_relation,union(u,v)) -> .
% 299.72/300.41  106244[5:Obv:106196.1] || subclass(sum_class(singleton(u)),v)* -> equal(sum_class(singleton(u)),identity_relation) member(u,v).
% 299.72/300.41  8979[5:Res:8736.1,8.0] || equal(sum_class(u),identity_relation) subclass(u,sum_class(u))* -> equal(sum_class(u),u).
% 299.72/300.41  113982[5:Obv:113919.0] ||  -> equal(intersection(singleton(u),v),identity_relation) equal(intersection(intersection(singleton(u),v),u),identity_relation)**.
% 299.72/300.41  114205[5:Obv:114141.0] ||  -> equal(intersection(u,singleton(v)),identity_relation) equal(intersection(intersection(u,singleton(v)),v),identity_relation)**.
% 299.72/300.41  40917[5:Res:5214.2,40810.0] || subclass(u,rest_of(regular(u)))* subclass(universal_class,complement(element_relation)) -> equal(u,identity_relation).
% 299.72/300.41  8087[5:Res:779.1,5405.0] || subclass(universal_class,regular(u)) member(ordered_pair(v,w),u)* -> equal(u,identity_relation).
% 299.72/300.41  50778[5:Res:29542.1,23342.0] || subclass(rest_relation,successor_relation) -> equal(u,identity_relation) equal(rest_of(regular(u)),successor(regular(u)))**.
% 299.72/300.41  124847[5:SpL:119684.0,5321.0] || subclass(u,symmetric_difference(universal_class,v)) -> equal(u,identity_relation) member(regular(u),complement(v))*.
% 299.72/300.41  168232[5:Res:5214.2,119659.0] || subclass(u,symmetric_difference(universal_class,v))* member(regular(u),v) -> equal(u,identity_relation).
% 299.72/300.41  113741[5:Obv:113676.2] || subclass(singleton(u),complement(v))* member(u,v) -> equal(singleton(u),identity_relation).
% 299.72/300.41  125911[5:Res:5288.2,40810.0] || subclass(omega,rest_of(u))* subclass(universal_class,complement(element_relation)) -> equal(integer_of(u),identity_relation).
% 299.72/300.41  119618[5:SpR:118446.0,6420.1] || asymmetric(universal_class,singleton(u)) -> equal(domain__dfg(inverse(universal_class),singleton(u),u),single_valued3(identity_relation))**.
% 299.72/300.41  164683[5:Rew:118447.0,153293.1,118447.0,153293.0] || member(not_subclass_element(union(u,identity_relation),v),complement(u))* -> subclass(union(u,identity_relation),v).
% 299.72/300.41  40949[5:SpL:22914.0,1003.0] || subclass(universal_class,symmetric_difference(complement(u),universal_class)) -> member(unordered_pair(v,w),union(u,identity_relation))*.
% 299.72/300.41  122798[5:Rew:119684.0,52311.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(unordered_pair(v,w),union(u,identity_relation))* -> .
% 299.72/300.41  28851[5:SpL:22914.0,6464.0] || subclass(domain_relation,symmetric_difference(complement(u),universal_class)) -> member(ordered_pair(identity_relation,identity_relation),union(u,identity_relation))*.
% 299.72/300.41  39220[5:SpL:22914.0,28860.0] || equal(symmetric_difference(complement(u),universal_class),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),union(u,identity_relation))*.
% 299.72/300.41  122797[5:Rew:119684.0,52328.0] || subclass(domain_relation,symmetric_difference(universal_class,u)) member(ordered_pair(identity_relation,identity_relation),union(u,identity_relation))* -> .
% 299.72/300.41  120254[5:SpR:118447.0,9004.0] ||  -> subclass(symmetric_difference(union(u,identity_relation),complement(inverse(symmetric_difference(universal_class,u)))),symmetrization_of(symmetric_difference(universal_class,u)))*.
% 299.72/300.41  120255[5:SpR:118447.0,9005.0] ||  -> subclass(symmetric_difference(union(u,identity_relation),complement(singleton(symmetric_difference(universal_class,u)))),successor(symmetric_difference(universal_class,u)))*.
% 299.72/300.41  120338[5:Rew:118447.0,120304.1] || member(regular(union(u,identity_relation)),symmetric_difference(universal_class,u))* -> equal(union(u,identity_relation),identity_relation).
% 299.72/300.41  122799[5:Rew:119684.0,52312.0] || subclass(universal_class,symmetric_difference(universal_class,u)) member(ordered_pair(v,w),union(u,identity_relation))* -> .
% 299.72/300.41  122859[5:Rew:119684.0,52319.1,119684.0,52319.0] || member(regular(symmetric_difference(universal_class,u)),union(u,identity_relation))* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.41  28829[5:SpL:160.0,6464.0] || subclass(domain_relation,symmetric_difference(u,v)) -> member(ordered_pair(identity_relation,identity_relation),complement(intersection(u,v)))*.
% 299.72/300.41  39196[5:SpL:160.0,28860.0] || equal(symmetric_difference(u,v),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),complement(intersection(u,v)))*.
% 299.72/300.41  47910[5:Res:5615.1,8165.1] || subclass(domain_relation,intersection(u,v)) member(ordered_pair(identity_relation,identity_relation),symmetric_difference(u,v))* -> .
% 299.72/300.41  39170[5:SpL:29.0,28828.0] || equal(restrict(u,v,w),domain_relation)** -> member(ordered_pair(identity_relation,identity_relation),cross_product(v,w))*.
% 299.72/300.41  8394[5:Res:5615.1,595.0] || subclass(domain_relation,restrict(u,v,w))* -> member(ordered_pair(identity_relation,identity_relation),cross_product(v,w))*.
% 299.72/300.41  122718[5:Rew:122380.0,39218.0] || equal(symmetric_difference(universal_class,cantor(u)),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),complement(cantor(u)))*.
% 299.72/300.41  122715[5:Rew:122359.0,39219.1] || equal(symmetric_difference(universal_class,complement(u)),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),complement(complement(u)))*.
% 299.72/300.41  40910[5:Res:27132.1,40810.0] || subclass(domain_relation,complement(complement(rest_of(ordered_pair(identity_relation,identity_relation)))))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.41  8095[5:Res:5615.1,5405.0] || subclass(domain_relation,regular(u)) member(ordered_pair(identity_relation,identity_relation),u)* -> equal(u,identity_relation).
% 299.72/300.41  28195[5:Res:27132.1,596.0] || subclass(domain_relation,complement(complement(restrict(u,v,w))))* -> member(ordered_pair(identity_relation,identity_relation),u).
% 299.72/300.41  125699[7:Res:125624.1,8157.0] || equal(symmetric_difference(complement(u),complement(v)),singleton(identity_relation))** -> member(identity_relation,union(u,v)).
% 299.72/300.41  125691[7:Res:125624.1,776.0] || equal(cantor(u),singleton(identity_relation)) subclass(domain_of(u),v)* -> member(identity_relation,v).
% 299.72/300.41  51729[0:Res:20366.2,40700.0] || member(u,universal_class) subclass(rest_relation,rest_of(u))* subclass(universal_class,complement(element_relation))* -> .
% 299.72/300.41  27416[5:Res:3780.1,22549.1] || equal(complement(complement(complement(compose(element_relation,universal_class)))),universal_class)** member(singleton(u),element_relation)* -> .
% 299.72/300.41  41208[0:SpL:54.0,41200.1] || equal(complement(rest_of(restrict(element_relation,universal_class,u))),universal_class)** member(v,sum_class(u))* -> .
% 299.72/300.41  146446[5:Res:146432.1,8.0] || equal(sum_class(u),universal_class) subclass(sum_class(u),v)* -> equal(sum_class(u),v).
% 299.72/300.41  45838[5:Rew:54.0,45787.1,22654.0,45787.0] || member(not_subclass_element(u,sum_class(v)),intersection(sum_class(v),universal_class))* -> subclass(u,sum_class(v)).
% 299.72/300.41  178035[14:Res:178018.1,588.0] || subclass(omega,intersection(complement(u),complement(v)))* member(identity_relation,union(u,v)) -> .
% 299.72/300.41  178191[14:SpL:27.0,178030.0] || subclass(omega,union(u,v)) member(identity_relation,intersection(complement(u),complement(v)))* -> .
% 299.72/300.41  178275[14:Res:943.1,178202.1] || member(identity_relation,symmetric_difference(u,v)) equal(complement(complement(intersection(u,v))),omega)** -> .
% 299.72/300.41  178447[14:SpL:27.0,178300.1] || equal(intersection(complement(u),complement(v)),universal_class)** equal(union(u,v),omega) -> .
% 299.72/300.41  178477[14:SpL:27.0,178304.0] || equal(complement(union(u,v)),omega) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.72/300.41  178491[14:SpL:27.0,178428.1] || equal(intersection(complement(u),complement(v)),omega)** equal(union(u,v),omega) -> .
% 299.72/300.41  178584[14:SpR:120682.0,178550.1] || subclass(omega,cantor(cross_product(u,singleton(v))))* -> member(identity_relation,segment(universal_class,u,v)).
% 299.72/300.41  178716[14:Res:178680.1,588.0] || equal(intersection(complement(u),complement(v)),omega)** member(identity_relation,union(u,v)) -> .
% 299.72/300.41  178759[14:SpR:120682.0,178684.1] || equal(cantor(cross_product(u,singleton(v))),omega) -> member(identity_relation,segment(universal_class,u,v))*.
% 299.72/300.41  179741[7:Res:167393.0,2.0] || subclass(symmetric_difference(universal_class,u),v)* -> member(identity_relation,union(u,identity_relation))* member(identity_relation,v).
% 299.72/300.41  179991[5:Res:124837.1,2.0] || equal(symmetric_difference(universal_class,u),universal_class) subclass(complement(u),v)* -> member(identity_relation,v).
% 299.72/300.41  46443[5:Res:34824.1,3924.0] || subclass(cantor(inverse(u)),v)* well_ordering(universal_class,v) -> equal(range_of(u),identity_relation).
% 299.72/300.41  87000[5:Res:8736.1,79033.0] || equal(sum_class(cantor(inverse(u))),identity_relation) -> subclass(sum_class(cantor(inverse(u))),range_of(u))*.
% 299.72/300.41  34920[5:Res:29474.1,6463.1] || member(ordered_pair(identity_relation,identity_relation),range_of(u))* subclass(domain_relation,complement(cantor(inverse(u)))) -> .
% 299.72/300.41  28197[5:Res:27132.1,610.0] || subclass(domain_relation,complement(complement(cantor(inverse(u)))))* -> member(ordered_pair(identity_relation,identity_relation),range_of(u)).
% 299.72/300.41  50584[5:Rew:40.0,50554.1] || member(regular(complement(range_of(u))),cantor(inverse(u)))* -> equal(complement(range_of(u)),identity_relation).
% 299.72/300.41  111277[0:Res:86994.1,46369.0] || equal(cantor(inverse(u)),singleton(singleton(singleton(v))))* well_ordering(universal_class,range_of(u))* -> .
% 299.72/300.41  5358[5:Rew:5180.0,4825.1] || subclass(omega,cantor(inverse(u)))* -> equal(integer_of(v),identity_relation) member(v,range_of(u))*.
% 299.72/300.41  150323[5:Res:150282.1,8.0] || equal(range_of(u),universal_class) subclass(range_of(u),v)* -> equal(range_of(u),v).
% 299.72/300.41  153017[5:SpR:126709.0,146648.0] ||  -> equal(intersection(complement(cantor(inverse(u))),symmetric_difference(range_of(u),universal_class)),symmetric_difference(range_of(u),universal_class))**.
% 299.72/300.41  28161[5:Res:26198.0,5229.1] inductive(symmetric_difference(cantor(inverse(u)),identity_relation)) ||  -> member(identity_relation,complement(symmetric_difference(range_of(u),universal_class)))*.
% 299.72/300.41  5317[5:Rew:5180.0,5129.1] || subclass(u,cantor(inverse(v))) -> equal(u,identity_relation) member(regular(u),range_of(v))*.
% 299.72/300.41  34921[5:Res:29474.1,4.0] || member(not_subclass_element(u,cantor(inverse(v))),range_of(v))* -> subclass(u,cantor(inverse(v))).
% 299.72/300.41  51688[0:SpR:40.0,20366.2] || member(u,universal_class) subclass(rest_relation,rest_of(inverse(v)))* -> member(u,range_of(v))*.
% 299.72/300.41  49051[0:Res:47940.0,773.1] || member(u,universal_class) -> member(u,complement(cantor(inverse(v))))* member(u,range_of(v)).
% 299.72/300.41  29496[5:MRR:29448.0,29469.1] || member(u,range_of(v))* subclass(cantor(inverse(v)),w)* -> member(u,w)*.
% 299.72/300.41  40226[5:Res:29474.1,1025.1] || member(ordered_pair(u,v),range_of(w))* subclass(universal_class,complement(cantor(inverse(w)))) -> .
% 299.72/300.41  39975[5:Res:29474.1,1002.1] || member(unordered_pair(u,v),range_of(w))* subclass(universal_class,complement(cantor(inverse(w)))) -> .
% 299.72/300.41  5753[5:Rew:5180.0,5396.0] || member(ordered_pair(u,v),compose(w,identity_relation))* -> member(v,image(w,range_of(identity_relation))).
% 299.72/300.41  120759[0:SpL:120676.0,40725.0] || member(inverse(cross_product(u,universal_class)),image(universal_class,u))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.41  120746[0:SpR:120676.0,821.1] || subclass(universal_class,cantor(inverse(cross_product(u,universal_class))))* -> member(singleton(v),image(universal_class,u))*.
% 299.72/300.41  94318[5:Res:47697.0,5229.1] inductive(complement(power_class(image(element_relation,complement(u))))) ||  -> member(identity_relation,image(element_relation,power_class(u)))*.
% 299.72/300.41  126542[0:SpR:579.0,119596.0] ||  -> subclass(symmetric_difference(universal_class,image(element_relation,union(u,v))),power_class(intersection(complement(u),complement(v))))*.
% 299.72/300.41  8987[5:Rew:69.0,8973.0] || equal(apply(u,v),identity_relation) -> subclass(apply(u,v),image(u,singleton(v)))*.
% 299.72/300.41  35491[0:Res:779.1,3525.0] || subclass(universal_class,compose(u,v)) -> subclass(w,image(u,image(v,singleton(x))))*.
% 299.72/300.41  26796[5:Res:26637.0,5229.1] inductive(symmetric_difference(image(element_relation,universal_class),identity_relation)) ||  -> member(identity_relation,complement(intersection(power_class(identity_relation),universal_class)))*.
% 299.72/300.41  26788[5:Res:26575.0,5229.1] inductive(symmetric_difference(image(element_relation,identity_relation),identity_relation)) ||  -> member(identity_relation,complement(intersection(power_class(universal_class),universal_class)))*.
% 299.72/300.41  46307[0:Res:10.1,3924.0] || member(u,universal_class) subclass(unordered_pair(u,v),w)* well_ordering(universal_class,w) -> .
% 299.72/300.41  46306[0:Res:11.1,3924.0] || member(u,universal_class) subclass(unordered_pair(v,u),w)* well_ordering(universal_class,w) -> .
% 299.72/300.41  46466[0:AED:46323.1] || member(u,domain_of(v))* subclass(rest_of(v),w)* well_ordering(universal_class,w) -> .
% 299.72/300.41  117534[5:Res:117277.0,3924.0] || subclass(inverse(singleton(u)),v)* well_ordering(universal_class,v) -> asymmetric(singleton(u),w)*.
% 299.72/300.41  117908[5:Res:5343.1,3924.0] || subclass(u,v)* well_ordering(universal_class,v)* -> equal(restrict(u,w,x),identity_relation)**.
% 299.72/300.41  46321[5:Res:29487.1,3924.0] || member(u,element_relation)* subclass(compose(element_relation,universal_class),v)* well_ordering(universal_class,v) -> .
% 299.72/300.41  46341[5:Res:39252.1,3924.0] || equal(cantor(u),domain_relation) subclass(cantor(u),v)* well_ordering(universal_class,v) -> .
% 299.72/300.41  47742[0:Res:783.1,3924.0] || subclass(ordered_pair(u,v),w)* subclass(w,x)* well_ordering(universal_class,x)* -> .
% 299.72/300.41  152772[0:Res:122840.1,2.0] || well_ordering(universal_class,complement(u))* subclass(u,v)* -> member(singleton(singleton(w)),v)*.
% 299.72/300.41  152783[0:Res:122840.1,944.0] || well_ordering(universal_class,complement(symmetric_difference(u,v))) -> member(singleton(singleton(w)),union(u,v))*.
% 299.72/300.41  152784[0:Res:122840.1,8898.0] || well_ordering(universal_class,complement(symmetric_difference(u,singleton(u))))* -> member(singleton(singleton(v)),successor(u))*.
% 299.72/300.41  117541[5:Res:117277.0,111279.0] || well_ordering(universal_class,inverse(singleton(singleton(singleton(u)))))* -> asymmetric(singleton(singleton(singleton(u))),v)*.
% 299.72/300.41  152834[0:SpL:27.0,152807.0] || well_ordering(universal_class,union(u,v)) well_ordering(universal_class,intersection(complement(u),complement(v)))* -> .
% 299.72/300.41  46842[3:Res:28041.2,1054.0] inductive(singleton(u)) || well_ordering(v,universal_class) -> equal(least(v,singleton(u)),u)**.
% 299.72/300.41  189338[7:SpL:27.0,189304.1] inductive(intersection(complement(u),complement(v))) || equal(union(u,v),singleton(identity_relation))** -> .
% 299.72/300.41  189346[7:SpL:122495.0,189304.1] inductive(image(element_relation,successor(identity_relation))) || equal(power_class(complement(singleton(identity_relation))),singleton(identity_relation))** -> .
% 299.72/300.41  189363[7:Res:125686.1,2.0] || equal(domain_of(u),singleton(identity_relation)) subclass(cantor(u),v)* -> member(identity_relation,v).
% 299.72/300.41  189735[7:Rew:189431.0,189419.1] || subclass(complement(singleton(identity_relation)),u)* -> subclass(singleton(v),singleton(identity_relation))* member(v,u)*.
% 299.72/300.41  189540[7:Rew:189431.0,165752.0] ||  -> subclass(complement(symmetrization_of(complement(singleton(identity_relation)))),intersection(singleton(identity_relation),complement(inverse(complement(singleton(identity_relation))))))*.
% 299.72/300.41  189541[7:Rew:189431.0,165751.0] ||  -> subclass(complement(successor(complement(singleton(identity_relation)))),intersection(singleton(identity_relation),complement(singleton(complement(singleton(identity_relation))))))*.
% 299.72/300.41  189574[14:Rew:189431.0,179185.1] || subclass(omega,power_class(complement(singleton(identity_relation)))) member(identity_relation,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  189577[7:Rew:189431.0,179156.1] || subclass(universal_class,power_class(complement(singleton(identity_relation)))) member(identity_relation,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  189594[7:Rew:189431.0,126036.0] || member(u,image(element_relation,singleton(identity_relation)))* member(u,power_class(complement(singleton(identity_relation)))) -> .
% 299.72/300.41  189596[14:Rew:189431.0,179186.0] || equal(image(element_relation,singleton(identity_relation)),omega)** equal(power_class(complement(singleton(identity_relation))),omega) -> .
% 299.72/300.41  189598[7:Rew:189431.0,179179.1] || well_ordering(universal_class,power_class(complement(singleton(identity_relation)))) well_ordering(universal_class,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  189599[7:Rew:189431.0,179171.0] || equal(image(element_relation,singleton(identity_relation)),domain_relation)** equal(power_class(complement(singleton(identity_relation))),domain_relation) -> .
% 299.72/300.41  189600[7:Rew:189431.0,179169.0] || subclass(domain_relation,image(element_relation,singleton(identity_relation)))* subclass(domain_relation,power_class(complement(singleton(identity_relation)))) -> .
% 299.72/300.41  189601[7:Rew:189431.0,179161.0] || subclass(domain_relation,image(element_relation,singleton(identity_relation)))* subclass(universal_class,power_class(complement(singleton(identity_relation)))) -> .
% 299.72/300.41  189603[7:Rew:189431.0,179160.1] || subclass(universal_class,power_class(complement(singleton(identity_relation)))) member(omega,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  189604[7:Rew:189431.0,179168.0] || subclass(universal_class,image(element_relation,singleton(identity_relation))) subclass(domain_relation,power_class(complement(singleton(identity_relation))))* -> .
% 299.72/300.41  189605[7:Rew:189431.0,179159.0] || subclass(universal_class,image(element_relation,singleton(identity_relation)))* subclass(universal_class,power_class(complement(singleton(identity_relation)))) -> .
% 299.72/300.41  189612[7:Rew:189431.0,179142.0] ||  -> subclass(symmetric_difference(complement(u),power_class(complement(singleton(identity_relation)))),union(u,image(element_relation,singleton(identity_relation))))*.
% 299.72/300.41  189617[7:Rew:189431.0,179116.0] ||  -> subclass(symmetric_difference(power_class(complement(singleton(identity_relation))),complement(u)),union(image(element_relation,singleton(identity_relation)),u))*.
% 299.72/300.41  189975[7:Res:26.2,189738.0] || member(apply(choice,singleton(identity_relation)),universal_class) -> member(apply(choice,singleton(identity_relation)),singleton(identity_relation))*.
% 299.72/300.41  190130[7:SpL:189471.0,189304.1] inductive(image(element_relation,singleton(identity_relation))) || equal(power_class(complement(singleton(identity_relation))),singleton(identity_relation))** -> .
% 299.72/300.41  190670[5:Rew:177103.1,190545.2] || equal(complement(u),universal_class) -> member(not_subclass_element(v,identity_relation),complement(u))* subclass(v,identity_relation).
% 299.72/300.41  190874[5:Rew:177104.1,190776.2] || equal(inverse(u),universal_class) -> member(not_subclass_element(v,identity_relation),inverse(u))* subclass(v,identity_relation).
% 299.72/300.41  191029[5:Rew:177451.1,190942.2] || equal(sum_class(u),universal_class) -> member(not_subclass_element(v,identity_relation),sum_class(u))* subclass(v,identity_relation).
% 299.72/300.41  191286[14:Res:178692.1,2.0] || equal(symmetric_difference(universal_class,u),omega) subclass(complement(u),v)* -> member(identity_relation,v).
% 299.72/300.41  191352[5:Rew:22454.0,191337.1,27.0,191337.0] || equal(union(u,v),universal_class) -> equal(complement(intersection(union(u,v),universal_class)),identity_relation)**.
% 299.72/300.41  191614[12:SpL:43.0,178263.0] || member(sum_class(image(u,v)),universal_class) member(restrict(u,v,universal_class),universal_class)* -> .
% 299.72/300.41  191864[15:SpR:191663.0,14.0] ||  -> equal(unordered_pair(identity_relation,unordered_pair(sum_class(range_of(identity_relation)),singleton(u))),ordered_pair(sum_class(range_of(identity_relation)),u))**.
% 299.72/300.41  191919[15:SpL:191663.0,5244.1] || member(sum_class(range_of(identity_relation)),domain_of(u))* equal(restrict(u,identity_relation,universal_class),identity_relation) -> .
% 299.72/300.41  192668[15:Rew:119684.0,192657.0,22454.0,192657.0] ||  -> equal(complement(image(element_relation,successor(sum_class(range_of(identity_relation))))),power_class(symmetric_difference(universal_class,sum_class(range_of(identity_relation)))))**.
% 299.72/300.41  192805[14:Res:178685.1,2.0] || equal(cantor(inverse(u)),omega) subclass(range_of(u),v)* -> member(identity_relation,v).
% 299.72/300.41  192956[5:Rew:177107.1,192864.2] || equal(range_of(u),universal_class) -> member(not_subclass_element(v,identity_relation),range_of(u))* subclass(v,identity_relation).
% 299.72/300.41  193304[5:Rew:177102.1,193210.2] || equal(power_class(u),universal_class) -> member(not_subclass_element(v,identity_relation),power_class(u))* subclass(v,identity_relation).
% 299.72/300.41  193616[12:SpR:43.0,191619.1] || member(restrict(u,v,universal_class),universal_class)* -> equal(integer_of(sum_class(image(u,v))),identity_relation).
% 299.72/300.41  193623[12:SpR:191620.1,44.0] || member(u,universal_class) -> equal(union(sum_class(range_of(u)),identity_relation),successor(sum_class(range_of(u))))**.
% 299.72/300.41  193665[12:SpR:43.0,191620.1] || member(restrict(u,v,universal_class),universal_class)* -> equal(singleton(sum_class(image(u,v))),identity_relation).
% 299.72/300.41  194018[15:SpR:27.0,194012.1] ||  -> member(singleton(identity_relation),intersection(complement(u),complement(v)))* member(singleton(identity_relation),union(u,v)).
% 299.72/300.41  194028[15:SpR:189471.0,194012.1] ||  -> member(singleton(identity_relation),image(element_relation,singleton(identity_relation)))* member(singleton(identity_relation),power_class(complement(singleton(identity_relation)))).
% 299.72/300.41  194146[15:Res:192110.1,2.0] || equal(u,singleton(singleton(identity_relation)))* subclass(u,v)* -> member(singleton(identity_relation),v)*.
% 299.72/300.41  194156[15:Res:192110.1,944.0] || equal(symmetric_difference(u,v),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),union(u,v))*.
% 299.72/300.41  194157[15:Res:192110.1,8898.0] || equal(symmetric_difference(u,singleton(u)),singleton(singleton(identity_relation)))** -> member(singleton(identity_relation),successor(u))*.
% 299.72/300.41  194913[5:SpR:168067.1,941.0] || equal(complement(union(u,v)),universal_class) -> equal(symmetric_difference(complement(u),complement(v)),identity_relation)**.
% 299.72/300.41  195132[17:SpL:120682.0,195123.1] || member(cross_product(u,singleton(v)),universal_class)* member(w,segment(universal_class,u,v))* -> .
% 299.72/300.41  196323[17:SpR:195325.1,123.0] ||  -> equal(integer_of(restrict(u,v,singleton(w))),identity_relation)** equal(segment(u,v,w),identity_relation).
% 299.72/300.41  196413[17:SpR:195326.1,123.0] ||  -> equal(singleton(restrict(u,v,singleton(w))),identity_relation)** equal(segment(u,v,w),identity_relation).
% 299.72/300.41  196836[17:Res:66.2,195267.1] function(u) || member(v,universal_class) equal(rest_of(image(u,v)),rest_relation)** -> .
% 299.72/300.41  196883[17:MRR:196866.1,5.0] || member(u,universal_class) equal(rest_of(apply(choice,u)),rest_relation)** -> equal(u,identity_relation).
% 299.72/300.41  196916[17:SpL:195299.1,122838.1] || member(u,universal_class) subclass(rest_relation,rest_of(power_class(u)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.41  196979[17:SpL:195305.1,122838.1] || member(u,universal_class) subclass(rest_relation,rest_of(sum_class(u)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.41  197373[17:SpL:195308.1,122838.1] function(u) || subclass(rest_relation,rest_of(apply(u,v)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.41  197501[17:SpL:195303.1,122838.1] || subclass(rest_relation,rest_of(not_subclass_element(u,v)))* well_ordering(universal_class,identity_relation) -> subclass(u,v).
% 299.72/300.41  197738[17:SpL:43.0,195220.1] || member(restrict(u,v,universal_class),universal_class)* equal(sum_class(image(u,v)),identity_relation) -> .
% 299.72/300.41  198029[17:Res:5288.2,195363.0] || subclass(omega,domain_relation) -> equal(integer_of(singleton(singleton(singleton(u)))),identity_relation)** equal(identity_relation,u).
% 299.72/300.41  198045[17:Res:195614.1,2.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(singleton(singleton(singleton(identity_relation))),v)*.
% 299.72/300.41  198055[17:Res:195614.1,944.0] || subclass(domain_relation,symmetric_difference(u,v)) -> member(singleton(singleton(singleton(identity_relation))),union(u,v))*.
% 299.72/300.41  198056[17:Res:195614.1,8898.0] || subclass(domain_relation,symmetric_difference(u,singleton(u)))* -> member(singleton(singleton(singleton(identity_relation))),successor(u))*.
% 299.72/300.41  198062[17:Res:195614.1,158.0] || subclass(domain_relation,omega) -> equal(integer_of(singleton(singleton(singleton(identity_relation)))),singleton(singleton(singleton(identity_relation))))**.
% 299.72/300.41  198559[17:SpL:69.0,196832.1] || member(image(u,singleton(v)),universal_class)* equal(rest_of(apply(u,v)),rest_relation) -> .
% 299.72/300.41  198774[5:Res:5288.2,124965.0] || subclass(omega,complement(singleton(u)))* -> equal(integer_of(u),identity_relation) equal(singleton(u),identity_relation).
% 299.72/300.41  198939[5:Rew:122627.0,198938.0] ||  -> subclass(symmetric_difference(union(u,identity_relation),symmetric_difference(complement(u),universal_class)),complement(symmetric_difference(complement(u),universal_class)))*.
% 299.72/300.41  199253[15:Res:943.1,199206.0] || member(singleton(identity_relation),symmetric_difference(u,v)) well_ordering(universal_class,complement(intersection(u,v)))* -> .
% 299.72/300.41  199278[15:MRR:199257.0,176.0] || well_ordering(universal_class,intersection(complement(u),complement(v)))* -> member(singleton(identity_relation),union(u,v)).
% 299.72/300.41  199282[15:SpL:27.0,199274.0] || well_ordering(universal_class,union(u,v)) -> member(singleton(identity_relation),intersection(complement(u),complement(v)))*.
% 299.72/300.41  199292[15:SpL:189471.0,199274.0] || well_ordering(universal_class,power_class(complement(singleton(identity_relation)))) -> member(singleton(identity_relation),image(element_relation,singleton(identity_relation)))*.
% 299.72/300.41  199404[12:SpR:43.0,192415.1] || member(restrict(u,v,universal_class),universal_class) -> member(identity_relation,ordered_pair(image(u,v),w))*.
% 299.72/300.41  199409[12:Res:192415.1,2.0] || member(u,universal_class) subclass(ordered_pair(range_of(u),v),w)* -> member(identity_relation,w).
% 299.72/300.41  200077[17:Res:197207.1,2.0] || subclass(ordered_pair(inverse(u),v),w)* -> equal(range_of(u),identity_relation) member(identity_relation,w).
% 299.72/300.41  200296[5:Rew:118446.0,200233.1,22454.0,200233.1] ||  -> equal(u,v) equal(symmetric_difference(singleton(v),singleton(u)),union(singleton(v),singleton(u)))**.
% 299.72/300.41  201065[5:Res:53064.1,200936.1] || well_ordering(u,rest_relation) equal(least(u,rest_relation),universal_class) -> inductive(least(u,rest_relation))*.
% 299.72/300.41  201066[5:Res:53058.1,200936.1] || well_ordering(u,universal_class) equal(least(u,rest_relation),universal_class) -> inductive(least(u,rest_relation))*.
% 299.72/300.41  201067[5:Res:8771.1,200936.1] || well_ordering(u,universal_class) equal(least(u,universal_class),universal_class) -> inductive(least(u,universal_class))*.
% 299.72/300.41  201361[7:SpR:189445.0,146221.1] || subclass(complement(singleton(identity_relation)),u) -> subclass(symmetric_difference(u,complement(singleton(identity_relation))),singleton(identity_relation))*.
% 299.72/300.41  201579[5:SpR:27.0,201460.1] || subclass(intersection(complement(u),complement(v)),identity_relation)* -> equal(complement(union(u,v)),identity_relation).
% 299.72/300.41  201600[5:SpL:201460.1,122507.0] || subclass(symmetrization_of(u),identity_relation)* subclass(cross_product(v,v),identity_relation)* -> connected(u,v)*.
% 299.72/300.41  201769[5:MRR:201768.2,5184.0] || subclass(symmetrization_of(u),identity_relation)* connected(u,v)* -> equal(cross_product(v,v),identity_relation)**.
% 299.72/300.41  202139[5:SpL:2089.1,201805.0] || subclass(singleton(not_subclass_element(cross_product(u,v),w)),identity_relation)* -> subclass(cross_product(u,v),w).
% 299.72/300.41  203224[13:MRR:52000.2,203223.0] || member(regular(regular(compose(element_relation,universal_class))),element_relation)* -> equal(regular(compose(element_relation,universal_class)),identity_relation).
% 299.72/300.41  203324[5:Rew:6791.0,203119.1] || equal(symmetrization_of(u),identity_relation) subclass(cross_product(v,v),identity_relation)* -> connected(u,v)*.
% 299.72/300.41  203333[5:Rew:22457.0,202901.1] || equal(identity_relation,u) -> equal(intersection(union(v,u),universal_class),symmetric_difference(complement(v),universal_class))**.
% 299.72/300.41  203353[5:MRR:203352.2,5184.0] || equal(symmetrization_of(u),identity_relation) connected(u,v)* -> equal(cross_product(v,v),identity_relation)**.
% 299.72/300.41  203641[5:Res:202851.1,3684.0] || equal(complement(u),identity_relation) well_ordering(v,u)* -> member(least(v,universal_class),universal_class)*.
% 299.72/300.41  204045[5:Res:203246.1,8157.0] || equal(complement(symmetric_difference(complement(u),complement(v))),identity_relation)** -> member(identity_relation,union(u,v)).
% 299.72/300.41  204116[5:Res:203247.1,8157.0] || equal(complement(symmetric_difference(complement(u),complement(v))),identity_relation)** -> member(omega,union(u,v)).
% 299.72/300.41  204216[5:SpL:5338.1,203697.0] || equal(complement(complement(regular(cross_product(u,v)))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  204227[5:SpL:5338.1,201820.0] || subclass(unordered_pair(u,regular(cross_product(v,w))),identity_relation)* -> equal(cross_product(v,w),identity_relation).
% 299.72/300.41  204298[5:SpL:5338.1,201825.0] || subclass(unordered_pair(regular(cross_product(u,v)),w),identity_relation)* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  204341[5:Res:24.2,203257.1] || member(u,v)* member(u,w)* equal(intersection(w,v),identity_relation)** -> .
% 299.72/300.41  204364[5:Res:17.2,203257.1] || member(u,v)* member(w,x)* equal(cross_product(x,v),identity_relation)** -> .
% 299.72/300.41  204500[5:SpL:5338.1,203267.0] || equal(unordered_pair(u,regular(cross_product(v,w))),identity_relation)** -> equal(cross_product(v,w),identity_relation).
% 299.72/300.41  204518[5:SpL:5338.1,203270.0] || equal(unordered_pair(regular(cross_product(u,v)),w),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  204756[5:Res:24.2,204710.1] || member(u,v)* member(u,w)* subclass(intersection(w,v),identity_relation)* -> .
% 299.72/300.41  204779[5:Res:17.2,204710.1] || member(u,v)* member(w,x)* subclass(cross_product(x,v),identity_relation)* -> .
% 299.72/300.41  205305[5:Res:205150.1,8157.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v)))* -> member(power_class(identity_relation),union(u,v)).
% 299.72/300.41  205357[5:Res:66.2,203295.1] function(u) || member(v,universal_class) equal(singleton(image(u,v)),identity_relation)** -> .
% 299.72/300.41  205411[5:MRR:205389.1,5.0] || member(u,universal_class) equal(singleton(apply(choice,u)),identity_relation)** -> equal(u,identity_relation).
% 299.72/300.41  205544[5:SpR:203313.1,120682.0] || equal(cantor(cross_product(u,singleton(v))),identity_relation)** -> equal(segment(universal_class,u,v),identity_relation).
% 299.72/300.41  205568[5:SpL:203313.1,122838.1] || equal(cantor(u),identity_relation) subclass(rest_relation,rest_of(u))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.41  205647[5:SpR:203318.1,120682.0] || equal(rest_of(cross_product(u,singleton(v))),identity_relation)** -> equal(segment(universal_class,u,v),identity_relation).
% 299.72/300.41  205671[5:SpL:203318.1,122838.1] || equal(rest_of(u),identity_relation) subclass(rest_relation,rest_of(u))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.41  205723[5:SpL:120682.0,203320.0] || equal(segment(universal_class,u,v),identity_relation) -> equal(cantor(cross_product(u,singleton(v))),identity_relation)**.
% 299.72/300.41  205963[5:SpL:120682.0,204822.0] || subclass(segment(universal_class,u,v),identity_relation)* -> equal(cantor(cross_product(u,singleton(v))),identity_relation).
% 299.72/300.41  206086[17:SpL:205103.1,122838.1] || equal(identity_relation,u) subclass(rest_relation,rest_of(power_class(u)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.41  206396[5:Res:201827.1,595.0] || subclass(complement(restrict(u,v,w)),identity_relation)* -> member(singleton(x),cross_product(v,w))*.
% 299.72/300.41  206400[5:Res:201827.1,5405.0] || subclass(complement(regular(u)),identity_relation)* member(singleton(v),u)* -> equal(u,identity_relation).
% 299.72/300.41  206446[5:EmS:5373.0,5373.1,72.1,200204.1] one_to_one(successor(u)) || equal(successor(u),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.41  206454[5:EmS:5373.0,5373.1,72.1,166140.1] one_to_one(range_of(u)) || equal(range_of(u),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.41  206462[5:EmS:5373.0,5373.1,72.1,166136.1] one_to_one(sum_class(u)) || equal(sum_class(u),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.41  206466[5:EmS:5373.0,5373.1,72.1,200205.1] one_to_one(symmetrization_of(u)) || equal(symmetrization_of(u),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.41  206471[5:EmS:5373.0,5373.1,72.1,166139.1] one_to_one(inverse(u)) || equal(inverse(u),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.41  206483[5:EmS:5373.0,5373.1,72.1,166137.1] one_to_one(power_class(u)) || equal(power_class(u),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.41  206491[5:EmS:5373.0,5373.1,72.1,166138.1] one_to_one(complement(u)) || equal(complement(u),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.72/300.41  206565[5:SpL:27.0,206410.0] || subclass(union(u,v),identity_relation) well_ordering(universal_class,intersection(complement(u),complement(v)))* -> .
% 299.72/300.41  206575[7:SpL:189471.0,206410.0] || subclass(power_class(complement(singleton(identity_relation))),identity_relation) well_ordering(universal_class,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  206694[5:Res:203299.1,595.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(singleton(x),cross_product(v,w))*.
% 299.72/300.41  207575[5:Res:206271.1,8.0] || equal(cantor(u),identity_relation) subclass(v,cantor(u))* -> equal(v,cantor(u)).
% 299.72/300.41  207755[5:Rew:118447.0,207713.1,118447.0,207713.0] || member(regular(complement(union(u,identity_relation))),u)* -> equal(complement(union(u,identity_relation)),identity_relation).
% 299.72/300.41  208634[5:SpL:120682.0,208585.0] || member(cross_product(u,singleton(v)),segment(universal_class,u,v))* subclass(element_relation,identity_relation) -> .
% 299.72/300.41  209186[15:Rew:208959.1,208994.2] function(restrict(u,v,w)) || section(u,w,v)* -> equal(universal_class,w).
% 299.72/300.41  209246[15:SpR:208959.1,133.1] function(restrict(u,v,w)) || section(u,w,v)* -> subclass(universal_class,w).
% 299.72/300.41  209910[17:SpL:209320.1,331.0] function(u) || member(image(v,identity_relation),universal_class) -> member(apply(v,u),universal_class)*.
% 299.72/300.41  210051[17:Rew:209320.1,209792.1] function(u) || section(v,identity_relation,w) -> subclass(segment(v,w,u),identity_relation)*.
% 299.72/300.41  210058[17:MRR:210057.1,5184.0] function(u) || subclass(segment(v,w,u),identity_relation)* -> section(v,identity_relation,w).
% 299.72/300.41  210097[17:SoR:209330.0,4792.2] single_valued_class(regular(u)) || equal(cross_product(universal_class,universal_class),regular(u))* -> equal(u,identity_relation).
% 299.72/300.41  210632[17:SoR:209434.0,8479.2] function(u) single_valued_class(apply(u,v)) || equal(apply(u,v),identity_relation)** -> .
% 299.72/300.41  210652[17:SoR:209435.0,8479.2] single_valued_class(not_subclass_element(u,v)) || equal(not_subclass_element(u,v),identity_relation)** -> subclass(u,v).
% 299.72/300.41  210737[17:Res:195614.1,8834.0] || subclass(domain_relation,symmetric_difference(u,inverse(u)))* -> member(singleton(singleton(singleton(identity_relation))),symmetrization_of(u))*.
% 299.72/300.41  210738[0:Res:122840.1,8834.0] || well_ordering(universal_class,complement(symmetric_difference(u,inverse(u))))* -> member(singleton(singleton(v)),symmetrization_of(u))*.
% 299.72/300.41  210739[15:Res:192110.1,8834.0] || equal(symmetric_difference(u,inverse(u)),singleton(singleton(identity_relation)))** -> member(singleton(identity_relation),symmetrization_of(u))*.
% 299.72/300.41  210775[5:SpL:22667.0,208667.0] || member(flip(cross_product(u,universal_class)),intersection(inverse(u),universal_class))* subclass(element_relation,identity_relation) -> .
% 299.72/300.41  210888[5:Res:766.2,208753.0] || subclass(u,rest_of(not_subclass_element(u,v)))* subclass(element_relation,identity_relation) -> subclass(u,v).
% 299.72/300.41  210957[17:SpR:209751.1,25601.0] function(intersection(u,universal_class)) ||  -> equal(complement(symmetric_difference(u,universal_class)),successor(intersection(u,universal_class)))**.
% 299.72/300.41  211042[5:Rew:119684.0,211021.1] || equal(image(successor_relation,universal_class),identity_relation) -> equal(power_class(symmetric_difference(universal_class,singleton(identity_relation))),power_class(identity_relation))**.
% 299.72/300.41  201360[5:SpR:124149.0,146221.1] || subclass(complement(inverse(identity_relation)),u) -> subclass(symmetric_difference(u,complement(inverse(identity_relation))),symmetrization_of(identity_relation))*.
% 299.72/300.41  194026[15:SpR:122494.0,194012.1] ||  -> member(singleton(identity_relation),image(element_relation,symmetrization_of(identity_relation)))* member(singleton(identity_relation),power_class(complement(inverse(identity_relation)))).
% 299.72/300.41  199290[15:SpL:122494.0,199274.0] || well_ordering(universal_class,power_class(complement(inverse(identity_relation)))) -> member(singleton(identity_relation),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.72/300.41  178998[5:SpR:122494.0,8614.0] ||  -> subclass(symmetric_difference(power_class(complement(inverse(identity_relation))),complement(u)),union(image(element_relation,symmetrization_of(identity_relation)),u))*.
% 299.72/300.41  179024[5:SpR:122494.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),power_class(complement(inverse(identity_relation)))),union(u,image(element_relation,symmetrization_of(identity_relation))))*.
% 299.72/300.41  179041[5:SpL:122494.0,3615.1] || subclass(universal_class,image(element_relation,symmetrization_of(identity_relation)))* subclass(universal_class,power_class(complement(inverse(identity_relation)))) -> .
% 299.72/300.41  179050[5:SpL:122494.0,27099.1] || subclass(universal_class,image(element_relation,symmetrization_of(identity_relation))) subclass(domain_relation,power_class(complement(inverse(identity_relation))))* -> .
% 299.72/300.41  179042[5:SpL:122494.0,790.0] || subclass(universal_class,power_class(complement(inverse(identity_relation)))) member(omega,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  179043[5:SpL:122494.0,40248.1] || subclass(domain_relation,image(element_relation,symmetrization_of(identity_relation)))* subclass(universal_class,power_class(complement(inverse(identity_relation)))) -> .
% 299.72/300.41  179051[5:SpL:122494.0,27118.1] || subclass(domain_relation,image(element_relation,symmetrization_of(identity_relation)))* subclass(domain_relation,power_class(complement(inverse(identity_relation)))) -> .
% 299.72/300.41  179053[5:SpL:122494.0,27247.1] || equal(image(element_relation,symmetrization_of(identity_relation)),domain_relation)** equal(power_class(complement(inverse(identity_relation))),domain_relation) -> .
% 299.72/300.41  179061[5:SpL:122494.0,152807.0] || well_ordering(universal_class,power_class(complement(inverse(identity_relation)))) well_ordering(universal_class,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  206573[5:SpL:122494.0,206410.0] || subclass(power_class(complement(inverse(identity_relation))),identity_relation) well_ordering(universal_class,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  179068[14:SpL:122494.0,178428.1] || equal(image(element_relation,symmetrization_of(identity_relation)),omega)** equal(power_class(complement(inverse(identity_relation))),omega) -> .
% 299.72/300.41  126035[5:SpL:124149.0,336.0] || member(u,image(element_relation,symmetrization_of(identity_relation)))* member(u,power_class(complement(inverse(identity_relation)))) -> .
% 299.72/300.41  179038[5:SpL:122494.0,5195.0] || subclass(universal_class,power_class(complement(inverse(identity_relation)))) member(identity_relation,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  179067[14:SpL:122494.0,178030.0] || subclass(omega,power_class(complement(inverse(identity_relation)))) member(identity_relation,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  180197[5:Res:165860.0,4.0] ||  -> subclass(singleton(not_subclass_element(u,complement(inverse(identity_relation)))),symmetrization_of(identity_relation))* subclass(u,complement(inverse(identity_relation))).
% 299.72/300.41  180193[5:Res:165860.0,2.0] || subclass(complement(inverse(identity_relation)),u)* -> subclass(singleton(v),symmetrization_of(identity_relation))* member(v,u)*.
% 299.72/300.41  165842[5:SpR:124149.0,86317.0] ||  -> subclass(complement(successor(complement(inverse(identity_relation)))),intersection(symmetrization_of(identity_relation),complement(singleton(complement(inverse(identity_relation))))))*.
% 299.72/300.41  165843[5:SpR:124149.0,86316.0] ||  -> subclass(complement(symmetrization_of(complement(inverse(identity_relation)))),intersection(symmetrization_of(identity_relation),complement(inverse(complement(inverse(identity_relation))))))*.
% 299.72/300.41  189345[7:SpL:122494.0,189304.1] inductive(image(element_relation,symmetrization_of(identity_relation))) || equal(power_class(complement(inverse(identity_relation))),singleton(identity_relation))** -> .
% 299.72/300.41  119617[5:SpR:118446.0,5473.2] || asymmetric(universal_class,u) subclass(compose(identity_relation,identity_relation),identity_relation)* -> transitive(inverse(universal_class),u)*.
% 299.72/300.41  192675[15:Res:5288.2,192103.0] || subclass(omega,element_relation) -> equal(integer_of(singleton(singleton(identity_relation))),identity_relation)** member(identity_relation,range_of(identity_relation)).
% 299.72/300.41  207995[12:Rew:192336.1,207976.2] || member(u,universal_class) member(singleton(singleton(identity_relation)),element_relation)* -> member(identity_relation,range_of(u))*.
% 299.72/300.41  207996[17:Rew:196425.0,207979.2] || member(singleton(singleton(identity_relation)),element_relation)* -> equal(range_of(u),identity_relation) member(identity_relation,inverse(u))*.
% 299.72/300.41  212348[20:MRR:124249.2,212333.0] || member(symmetrization_of(identity_relation),universal_class) member(apply(choice,symmetrization_of(identity_relation)),complement(inverse(identity_relation)))* -> .
% 299.72/300.41  212553[7:SpL:189445.0,7539.0] || subclass(universal_class,image(element_relation,singleton(identity_relation))) member(omega,power_class(complement(singleton(identity_relation))))* -> .
% 299.72/300.41  213093[17:Res:53064.1,195221.0] || well_ordering(u,rest_relation) subclass(rest_relation,domain_relation) -> equal(rest_of(least(u,rest_relation)),identity_relation)**.
% 299.72/300.41  213094[17:Res:53058.1,195221.0] || well_ordering(u,universal_class) subclass(rest_relation,domain_relation) -> equal(rest_of(least(u,rest_relation)),identity_relation)**.
% 299.72/300.41  213095[17:Res:8771.1,195221.0] || well_ordering(u,universal_class) subclass(rest_relation,domain_relation) -> equal(rest_of(least(u,universal_class)),identity_relation)**.
% 299.72/300.41  213269[17:Res:53064.1,195222.0] || well_ordering(u,rest_relation) subclass(domain_relation,rest_relation) -> equal(rest_of(least(u,rest_relation)),identity_relation)**.
% 299.72/300.41  213270[17:Res:53058.1,195222.0] || well_ordering(u,universal_class) subclass(domain_relation,rest_relation) -> equal(rest_of(least(u,rest_relation)),identity_relation)**.
% 299.72/300.41  213271[17:Res:8771.1,195222.0] || well_ordering(u,universal_class) subclass(domain_relation,rest_relation) -> equal(rest_of(least(u,universal_class)),identity_relation)**.
% 299.72/300.41  213504[5:SpL:124149.0,7539.0] || subclass(universal_class,image(element_relation,symmetrization_of(identity_relation))) member(omega,power_class(complement(inverse(identity_relation))))* -> .
% 299.72/300.41  213696[17:SpR:123943.1,209321.1] function(least(u,omega)) || well_ordering(u,universal_class) -> equal(least(u,omega),identity_relation)**.
% 299.72/300.41  213809[17:SpR:209320.1,7513.0] function(u) ||  -> equal(integer_of(image(v,identity_relation)),identity_relation) member(apply(v,u),universal_class)*.
% 299.72/300.41  213856[17:Res:195387.1,25.1] || subclass(domain_relation,rotate(complement(u))) member(ordered_pair(ordered_pair(v,identity_relation),w),u)* -> .
% 299.72/300.41  213860[17:Res:195387.1,22.0] || subclass(domain_relation,rotate(intersection(u,v)))* -> member(ordered_pair(ordered_pair(w,identity_relation),x),u)*.
% 299.72/300.41  213861[17:Res:195387.1,23.0] || subclass(domain_relation,rotate(intersection(u,v)))* -> member(ordered_pair(ordered_pair(w,identity_relation),x),v)*.
% 299.72/300.41  213874[17:Res:195387.1,29473.0] || subclass(domain_relation,rotate(domain_of(u))) -> member(ordered_pair(ordered_pair(v,identity_relation),w),cantor(u))*.
% 299.72/300.41  213889[17:Res:195387.1,208753.0] || subclass(domain_relation,rotate(rest_of(ordered_pair(ordered_pair(u,identity_relation),v))))* subclass(element_relation,identity_relation) -> .
% 299.72/300.41  213894[17:Res:195387.1,143.0] || subclass(domain_relation,rotate(rest_of(u))) -> equal(restrict(u,ordered_pair(v,identity_relation),universal_class),w)*.
% 299.72/300.41  213958[17:Res:195388.1,25.1] || subclass(domain_relation,flip(complement(u))) member(ordered_pair(ordered_pair(v,w),identity_relation),u)* -> .
% 299.72/300.41  213962[17:Res:195388.1,22.0] || subclass(domain_relation,flip(intersection(u,v)))* -> member(ordered_pair(ordered_pair(w,x),identity_relation),u)*.
% 299.72/300.41  213963[17:Res:195388.1,23.0] || subclass(domain_relation,flip(intersection(u,v)))* -> member(ordered_pair(ordered_pair(w,x),identity_relation),v)*.
% 299.72/300.41  213976[17:Res:195388.1,29473.0] || subclass(domain_relation,flip(domain_of(u))) -> member(ordered_pair(ordered_pair(v,w),identity_relation),cantor(u))*.
% 299.72/300.41  213991[17:Res:195388.1,208753.0] || subclass(domain_relation,flip(rest_of(ordered_pair(ordered_pair(u,v),identity_relation))))* subclass(element_relation,identity_relation) -> .
% 299.72/300.41  213996[17:Res:195388.1,143.0] || subclass(domain_relation,flip(rest_of(u))) -> equal(restrict(u,ordered_pair(v,w),universal_class),identity_relation)**.
% 299.72/300.41  214297[5:Rew:22454.0,214204.2,177103.1,214204.2,22454.0,214204.1] || equal(complement(u),universal_class) -> member(not_subclass_element(universal_class,v),complement(u))* subclass(universal_class,v).
% 299.72/300.41  214298[5:Rew:22454.0,214212.2,177104.1,214212.2,22454.0,214212.1] || equal(inverse(u),universal_class) -> member(not_subclass_element(universal_class,v),inverse(u))* subclass(universal_class,v).
% 299.72/300.41  214300[5:Rew:22454.0,214221.2,177102.1,214221.2,22454.0,214221.1] || equal(power_class(u),universal_class) -> member(not_subclass_element(universal_class,v),power_class(u))* subclass(universal_class,v).
% 299.72/300.41  214301[5:Rew:22454.0,214222.2,177451.1,214222.2,22454.0,214222.1] || equal(sum_class(u),universal_class) -> member(not_subclass_element(universal_class,v),sum_class(u))* subclass(universal_class,v).
% 299.72/300.41  214302[5:Rew:22454.0,214223.2,177107.1,214223.2,22454.0,214223.1] || equal(range_of(u),universal_class) -> member(not_subclass_element(universal_class,v),range_of(u))* subclass(universal_class,v).
% 299.72/300.41  214459[17:MRR:214410.1,205135.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) -> member(ordered_pair(power_class(identity_relation),identity_relation),u)*.
% 299.72/300.41  214463[17:SpL:209320.1,801.0] function(u) || member(singleton(singleton(identity_relation)),cross_product(v,w))* -> member(u,w)*.
% 299.72/300.41  214644[17:MRR:214592.1,176.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) -> member(ordered_pair(singleton(v),identity_relation),u)*.
% 299.72/300.41  214803[15:Res:192110.1,3924.0] || equal(u,singleton(singleton(identity_relation)))* subclass(u,v)* well_ordering(universal_class,v)* -> .
% 299.72/300.41  214844[7:Res:179749.0,3924.0] || subclass(union(u,identity_relation),v)* well_ordering(universal_class,v) -> member(identity_relation,complement(u)).
% 299.72/300.41  214845[7:Res:179748.1,3924.0] || member(identity_relation,u) subclass(union(u,identity_relation),v)* well_ordering(universal_class,v) -> .
% 299.72/300.41  214978[4:Res:212361.1,8165.1] || subclass(omega,intersection(u,v)) member(least(element_relation,omega),symmetric_difference(u,v))* -> .
% 299.72/300.41  215000[4:Res:212361.1,595.0] || subclass(omega,restrict(u,v,w))* -> member(least(element_relation,omega),cross_product(v,w))*.
% 299.72/300.41  215004[5:Res:212361.1,5405.0] || subclass(omega,regular(u)) member(least(element_relation,omega),u)* -> equal(u,identity_relation).
% 299.72/300.41  215031[17:SpR:209320.1,783.1] function(u) || subclass(ordered_pair(v,u),w)* -> member(unordered_pair(v,identity_relation),w)*.
% 299.72/300.41  215090[5:Res:783.1,208753.0] || subclass(ordered_pair(u,v),rest_of(unordered_pair(u,singleton(v))))* subclass(element_relation,identity_relation) -> .
% 299.72/300.41  215127[20:Res:212523.1,8165.1] || subclass(universal_class,intersection(u,v)) member(regular(symmetrization_of(identity_relation)),symmetric_difference(u,v))* -> .
% 299.72/300.41  215149[20:Res:212523.1,595.0] || subclass(universal_class,restrict(u,v,w))* -> member(regular(symmetrization_of(identity_relation)),cross_product(v,w))*.
% 299.72/300.41  215153[20:Res:212523.1,5405.0] || subclass(universal_class,regular(u)) member(regular(symmetrization_of(identity_relation)),u)* -> equal(u,identity_relation).
% 299.72/300.41  215235[4:Res:212539.1,8165.1] || subclass(universal_class,intersection(u,v)) member(least(element_relation,omega),symmetric_difference(u,v))* -> .
% 299.72/300.41  215257[4:Res:212539.1,595.0] || subclass(universal_class,restrict(u,v,w))* -> member(least(element_relation,omega),cross_product(v,w))*.
% 299.72/300.41  215261[5:Res:212539.1,5405.0] || subclass(universal_class,regular(u)) member(least(element_relation,omega),u)* -> equal(u,identity_relation).
% 299.72/300.41  216029[17:SpR:203228.1,214456.1] || equal(identity_relation,u) subclass(rest_relation,domain_relation) -> member(ordered_pair(power_class(u),identity_relation),rest_relation)*.
% 299.72/300.41  216184[5:SpL:203228.1,216012.1] || equal(identity_relation,u) equal(power_class(identity_relation),identity_relation) subclass(domain_relation,power_class(u))* -> .
% 299.72/300.41  216282[5:SpL:203228.1,216187.0] || equal(identity_relation,u) equal(power_class(u),domain_relation)** equal(power_class(identity_relation),identity_relation)** -> .
% 299.72/300.41  216347[5:SpL:203228.1,211349.1] || equal(identity_relation,u) equal(power_class(identity_relation),identity_relation) member(v,power_class(u))* -> .
% 299.72/300.41  216498[17:Res:216467.1,2.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) -> member(singleton(singleton(singleton(identity_relation))),u)*.
% 299.72/300.41  216546[5:SpR:168067.1,8659.0] || equal(complement(complement(u)),universal_class) -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(identity_relation))**.
% 299.72/300.41  216547[5:SpR:204799.1,8659.0] || subclass(complement(inverse(u)),identity_relation) -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(identity_relation))**.
% 299.72/300.41  216548[5:SpR:204384.1,8659.0] || equal(complement(inverse(u)),identity_relation) -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(identity_relation))**.
% 299.72/300.41  216566[5:Rew:118446.0,216526.1] || equal(identity_relation,u) -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(complement(inverse(u))))**.
% 299.72/300.41  216579[5:Rew:5304.0,216523.1] || equal(complement(u),universal_class) -> equal(complement(image(element_relation,symmetrization_of(complement(u)))),power_class(identity_relation))**.
% 299.72/300.41  216580[5:Rew:5304.0,216531.1] || equal(inverse(u),universal_class) -> equal(complement(image(element_relation,symmetrization_of(inverse(u)))),power_class(identity_relation))**.
% 299.72/300.41  216581[5:Rew:5304.0,216541.1] || equal(power_class(u),universal_class) -> equal(complement(image(element_relation,symmetrization_of(power_class(u)))),power_class(identity_relation))**.
% 299.72/300.41  216582[5:Rew:5304.0,216542.1] || equal(sum_class(u),universal_class) -> equal(complement(image(element_relation,symmetrization_of(sum_class(u)))),power_class(identity_relation))**.
% 299.72/300.41  216583[5:Rew:5304.0,216543.1] || equal(range_of(u),universal_class) -> equal(complement(image(element_relation,symmetrization_of(range_of(u)))),power_class(identity_relation))**.
% 299.72/300.41  216675[5:SpR:168067.1,8660.0] || equal(complement(complement(u)),universal_class) -> equal(complement(image(element_relation,successor(u))),power_class(identity_relation))**.
% 299.72/300.41  216697[5:Rew:118446.0,216655.1] || equal(identity_relation,u) -> equal(complement(image(element_relation,successor(u))),power_class(complement(singleton(u))))**.
% 299.72/300.41  216738[7:Rew:27.0,216727.1,22454.0,216727.0] || subclass(complement(intersection(union(u,v),universal_class)),identity_relation)* -> member(identity_relation,union(u,v)).
% 299.72/300.41  217154[5:Res:20366.2,204710.1] || member(u,universal_class)* subclass(rest_relation,rest_of(v)) subclass(domain_of(v),identity_relation)* -> .
% 299.72/300.41  217155[5:Res:20366.2,203257.1] || member(u,universal_class)* subclass(rest_relation,rest_of(v))* equal(domain_of(v),identity_relation) -> .
% 299.72/300.41  217177[5:MRR:217100.3,5188.0] || equal(cantor(u),identity_relation) member(v,universal_class)* subclass(rest_relation,rest_of(u))* -> .
% 299.72/300.41  217178[17:MRR:217112.3,5188.0] || member(u,universal_class) member(v,universal_class)* subclass(rest_relation,rest_of(sum_class(u)))* -> .
% 299.72/300.41  217179[17:MRR:217124.3,5188.0] || equal(identity_relation,u) member(v,universal_class)* subclass(rest_relation,rest_of(power_class(u)))* -> .
% 299.72/300.41  217180[17:MRR:217125.3,5188.0] || member(u,universal_class) member(v,universal_class)* subclass(rest_relation,rest_of(power_class(u)))* -> .
% 299.72/300.41  217181[17:MRR:217127.3,5188.0] function(u) || member(v,universal_class)* subclass(rest_relation,rest_of(apply(u,w)))* -> .
% 299.72/300.41  217182[17:MRR:217129.3,5188.0] || member(u,universal_class)* subclass(rest_relation,rest_of(not_subclass_element(v,w)))* -> subclass(v,w).
% 299.72/300.41  217492[5:Res:203760.1,2.0] || equal(union(u,identity_relation),identity_relation) subclass(complement(u),v)* -> member(identity_relation,v).
% 299.72/300.41  217565[5:Res:203762.1,2.0] || equal(union(u,identity_relation),identity_relation) subclass(complement(u),v)* -> member(omega,v).
% 299.72/300.41  217663[15:SpR:191737.0,122711.0] ||  -> equal(complement(intersection(complement(u),successor(range_of(identity_relation)))),union(u,symmetric_difference(universal_class,range_of(identity_relation))))**.
% 299.72/300.41  217777[5:Rew:22454.0,217691.1] || equal(complement(union(u,identity_relation)),universal_class) -> equal(union(v,symmetric_difference(universal_class,u)),universal_class)**.
% 299.72/300.41  217855[5:SpL:203228.1,204147.1] || equal(identity_relation,u) equal(power_class(u),identity_relation)** member(omega,power_class(identity_relation))* -> .
% 299.72/300.41  218072[5:SpL:203228.1,205293.1] || equal(identity_relation,u) subclass(universal_class,complement(v)) member(power_class(u),v)* -> .
% 299.72/300.41  218103[5:Res:106230.1,205293.1] || subclass(universal_class,complement(sum_class(singleton(power_class(identity_relation)))))* -> equal(sum_class(singleton(power_class(identity_relation))),identity_relation).
% 299.72/300.41  218105[5:Res:5288.2,205293.1] || subclass(omega,u) subclass(universal_class,complement(u))* -> equal(integer_of(power_class(identity_relation)),identity_relation).
% 299.72/300.41  218283[15:SpR:191737.0,122708.0] ||  -> equal(complement(intersection(successor(range_of(identity_relation)),complement(u))),union(symmetric_difference(universal_class,range_of(identity_relation)),u))**.
% 299.72/300.41  218374[5:Rew:22454.0,218287.1] || equal(complement(union(u,identity_relation)),universal_class) -> equal(union(symmetric_difference(universal_class,u),v),universal_class)**.
% 299.72/300.41  218525[5:SpL:69.0,205353.1] || member(image(u,singleton(v)),universal_class)* equal(singleton(apply(u,v)),identity_relation) -> .
% 299.72/300.41  219364[5:Res:219313.1,3924.0] || subclass(complement(u),identity_relation)* subclass(successor(u),v)* well_ordering(universal_class,v) -> .
% 299.72/300.41  219436[5:Res:219417.1,3924.0] || subclass(complement(u),identity_relation) subclass(symmetrization_of(u),v)* well_ordering(universal_class,v) -> .
% 299.72/300.41  219529[11:Res:207952.1,2.0] || equal(identity_relation,u) subclass(universal_class,v) -> member(regular(complement(power_class(u))),v)*.
% 299.72/300.41  219566[11:Res:207964.1,2.0] || subclass(universal_class,u)* subclass(u,v)* -> member(regular(complement(power_class(identity_relation))),v)*.
% 299.72/300.41  219577[11:Res:207964.1,944.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(regular(complement(power_class(identity_relation))),union(u,v))*.
% 299.72/300.41  219578[11:Res:207964.1,8898.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(regular(complement(power_class(identity_relation))),successor(u))*.
% 299.72/300.41  219581[11:Res:207964.1,8834.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(regular(complement(power_class(identity_relation))),symmetrization_of(u))*.
% 299.72/300.41  219690[11:SpL:203228.1,219629.0] || equal(identity_relation,u) equal(complement(complement(singleton(regular(complement(power_class(u)))))),identity_relation)** -> .
% 299.72/300.41  219718[10:Res:208146.1,2.0] || subclass(universal_class,u)* subclass(u,v)* -> member(regular(complement(power_class(universal_class))),v)*.
% 299.72/300.41  219729[10:Res:208146.1,944.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(regular(complement(power_class(universal_class))),union(u,v))*.
% 299.72/300.41  219730[10:Res:208146.1,8898.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(regular(complement(power_class(universal_class))),successor(u))*.
% 299.72/300.41  219733[10:Res:208146.1,8834.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(regular(complement(power_class(universal_class))),symmetrization_of(u))*.
% 299.72/300.41  219817[5:SpL:43.0,208638.0] || member(inverse(restrict(u,v,universal_class)),image(u,v))* subclass(element_relation,identity_relation) -> .
% 299.72/300.41  220263[7:Rew:189445.0,220206.0] || subclass(u,singleton(identity_relation)) -> subclass(singleton(regular(u)),singleton(identity_relation))* equal(u,identity_relation).
% 299.72/300.41  220265[5:Rew:22481.0,220224.0] || subclass(u,power_class(identity_relation)) -> subclass(singleton(regular(u)),power_class(identity_relation))* equal(u,identity_relation).
% 299.72/300.41  220266[5:Rew:6805.0,220225.0] || subclass(u,power_class(universal_class)) -> subclass(singleton(regular(u)),power_class(universal_class))* equal(u,identity_relation).
% 299.72/300.41  220344[5:Rew:124149.0,220321.0] || subclass(u,symmetrization_of(identity_relation)) -> subclass(singleton(regular(u)),symmetrization_of(identity_relation))* equal(u,identity_relation).
% 299.72/300.41  220373[5:Res:220369.1,338.0] || member(not_subclass_element(complement(symmetrization_of(identity_relation)),u),inverse(identity_relation))* -> subclass(complement(symmetrization_of(identity_relation)),u).
% 299.72/300.41  220418[9:Res:207805.1,2.0] || subclass(universal_class,u)* subclass(u,v)* -> member(regular(complement(symmetrization_of(identity_relation))),v)*.
% 299.72/300.41  220429[9:Res:207805.1,944.0] || subclass(universal_class,symmetric_difference(u,v)) -> member(regular(complement(symmetrization_of(identity_relation))),union(u,v))*.
% 299.72/300.41  220430[9:Res:207805.1,8898.0] || subclass(universal_class,symmetric_difference(u,singleton(u)))* -> member(regular(complement(symmetrization_of(identity_relation))),successor(u))*.
% 299.72/300.41  220433[9:Res:207805.1,8834.0] || subclass(universal_class,symmetric_difference(u,inverse(u)))* -> member(regular(complement(symmetrization_of(identity_relation))),symmetrization_of(u))*.
% 299.72/300.41  220620[20:Res:212352.1,2.0] || subclass(inverse(identity_relation),u)* subclass(u,v)* -> member(regular(symmetrization_of(identity_relation)),v)*.
% 299.72/300.41  220631[20:Res:212352.1,944.0] || subclass(inverse(identity_relation),symmetric_difference(u,v)) -> member(regular(symmetrization_of(identity_relation)),union(u,v))*.
% 299.72/300.41  220632[20:Res:212352.1,8898.0] || subclass(inverse(identity_relation),symmetric_difference(u,singleton(u)))* -> member(regular(symmetrization_of(identity_relation)),successor(u)).
% 299.72/300.41  220635[20:Res:212352.1,8834.0] || subclass(inverse(identity_relation),symmetric_difference(u,inverse(u)))* -> member(regular(symmetrization_of(identity_relation)),symmetrization_of(u)).
% 299.72/300.41  220695[5:Res:202851.1,1001.0] || equal(complement(u),identity_relation) subclass(u,v)* -> member(unordered_pair(w,x),v)*.
% 299.72/300.41  220805[5:Res:27933.1,204710.1] || member(u,universal_class) subclass(union(v,w),identity_relation)* -> member(u,complement(v))*.
% 299.72/300.41  220806[5:Res:27933.1,203257.1] || member(u,universal_class) equal(union(v,w),identity_relation)** -> member(u,complement(v))*.
% 299.72/300.41  220919[5:Res:27934.1,204710.1] || member(u,universal_class) subclass(union(v,w),identity_relation)* -> member(u,complement(w))*.
% 299.72/300.41  220920[5:Res:27934.1,203257.1] || member(u,universal_class) equal(union(v,w),identity_relation)** -> member(u,complement(w))*.
% 299.72/300.41  221415[20:Res:214397.1,2.0] || subclass(symmetrization_of(identity_relation),u)* subclass(u,v)* -> member(regular(symmetrization_of(identity_relation)),v)*.
% 299.72/300.41  221426[20:Res:214397.1,944.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(u,v)) -> member(regular(symmetrization_of(identity_relation)),union(u,v))*.
% 299.72/300.41  221427[20:Res:214397.1,8898.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(u,singleton(u)))* -> member(regular(symmetrization_of(identity_relation)),successor(u)).
% 299.72/300.41  221430[20:Res:214397.1,8834.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(u,inverse(u)))* -> member(regular(symmetrization_of(identity_relation)),symmetrization_of(u)).
% 299.72/300.41  222283[5:Res:5294.1,222174.0] ||  -> equal(intersection(symmetrization_of(identity_relation),u),identity_relation) member(regular(intersection(symmetrization_of(identity_relation),u)),inverse(identity_relation))*.
% 299.72/300.41  222288[17:Res:195387.1,222174.0] || subclass(domain_relation,rotate(symmetrization_of(identity_relation))) -> member(ordered_pair(ordered_pair(u,identity_relation),v),inverse(identity_relation))*.
% 299.72/300.41  222290[17:Res:195388.1,222174.0] || subclass(domain_relation,flip(symmetrization_of(identity_relation))) -> member(ordered_pair(ordered_pair(u,v),identity_relation),inverse(identity_relation))*.
% 299.72/300.41  222293[5:Res:766.2,222174.0] || subclass(u,symmetrization_of(identity_relation)) -> subclass(u,v) member(not_subclass_element(u,v),inverse(identity_relation))*.
% 299.72/300.41  222297[5:Res:5295.1,222174.0] ||  -> equal(intersection(u,symmetrization_of(identity_relation)),identity_relation) member(regular(intersection(u,symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.72/300.41  222308[5:Res:783.1,222174.0] || subclass(ordered_pair(u,v),symmetrization_of(identity_relation)) -> member(unordered_pair(u,singleton(v)),inverse(identity_relation))*.
% 299.72/300.41  222365[0:SpR:222089.0,30.0] ||  -> equal(restrict(complement(complement(cross_product(u,v))),u,v),complement(complement(cross_product(u,v))))**.
% 299.72/300.41  222497[5:SpL:27.0,222410.0] || subclass(universal_class,complement(union(u,v))) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.72/300.41  222609[0:SpL:27.0,222412.0] || subclass(universal_class,complement(union(u,v))) -> member(omega,intersection(complement(u),complement(v)))*.
% 299.72/300.41  222644[14:SpL:27.0,222425.0] || subclass(omega,complement(union(u,v))) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.72/300.41  222678[0:SpL:27.0,222432.0] || member(u,complement(union(v,w))) -> member(u,intersection(complement(v),complement(w)))*.
% 299.72/300.41  222719[17:Res:195387.1,222432.0] || subclass(domain_relation,rotate(complement(complement(u)))) -> member(ordered_pair(ordered_pair(v,identity_relation),w),u)*.
% 299.72/300.41  222721[17:Res:195388.1,222432.0] || subclass(domain_relation,flip(complement(complement(u)))) -> member(ordered_pair(ordered_pair(v,w),identity_relation),u)*.
% 299.72/300.41  222724[0:Res:766.2,222432.0] || subclass(u,complement(complement(v))) -> subclass(u,w) member(not_subclass_element(u,w),v)*.
% 299.72/300.41  222725[0:Res:122671.0,222432.0] ||  -> subclass(u,complement(complement(complement(v)))) member(not_subclass_element(u,complement(complement(complement(v)))),v)*.
% 299.72/300.41  222727[0:Res:764.2,222432.0] || member(u,universal_class) subclass(universal_class,complement(complement(v)))* -> member(power_class(u),v)*.
% 299.72/300.41  222730[0:Res:765.2,222432.0] || member(u,universal_class) subclass(universal_class,complement(complement(v)))* -> member(sum_class(u),v)*.
% 299.72/300.41  222740[0:Res:783.1,222432.0] || subclass(ordered_pair(u,v),complement(complement(w)))* -> member(unordered_pair(u,singleton(v)),w).
% 299.72/300.41  222957[5:SpL:203228.1,217001.1] || equal(identity_relation,u) equal(power_class(u),identity_relation)** equal(power_class(identity_relation),domain_relation)** -> .
% 299.72/300.41  223150[5:Res:223091.1,595.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(power_class(identity_relation),cross_product(v,w))*.
% 299.72/300.41  224729[17:Res:195279.2,153534.1] || member(u,universal_class)* equal(successor(u),identity_relation) equal(complement(successor_relation),universal_class) -> .
% 299.72/300.41  224816[5:Res:5213.0,7571.2] || member(u,universal_class) subclass(universal_class,complement(omega))* -> equal(integer_of(power_class(u)),identity_relation)**.
% 299.72/300.41  225404[5:SpR:203228.1,223085.1] || equal(identity_relation,u) equal(complement(complement(v)),universal_class) -> member(power_class(u),v)*.
% 299.72/300.41  225420[5:Res:223085.1,2.0] || equal(complement(complement(u)),universal_class)** subclass(u,v)* -> member(power_class(identity_relation),v)*.
% 299.72/300.41  225432[5:Res:223085.1,944.0] || equal(complement(complement(symmetric_difference(u,v))),universal_class) -> member(power_class(identity_relation),union(u,v))*.
% 299.72/300.41  225433[5:Res:223085.1,8898.0] || equal(complement(complement(symmetric_difference(u,singleton(u)))),universal_class)** -> member(power_class(identity_relation),successor(u)).
% 299.72/300.41  225436[5:Res:223085.1,8834.0] || equal(complement(complement(symmetric_difference(u,inverse(u)))),universal_class)** -> member(power_class(identity_relation),symmetrization_of(u)).
% 299.72/300.41  225546[5:SpR:203228.1,223093.1] || equal(identity_relation,u) equal(complement(v),universal_class) -> member(power_class(u),complement(v))*.
% 299.72/300.41  225551[5:Res:223093.1,2.0] || equal(complement(u),universal_class) subclass(complement(u),v)* -> member(power_class(identity_relation),v)*.
% 299.72/300.41  225579[5:SpR:203228.1,223095.1] || equal(identity_relation,u) equal(inverse(v),universal_class) -> member(power_class(u),inverse(v))*.
% 299.72/300.41  225584[5:Res:223095.1,2.0] || equal(inverse(u),universal_class) subclass(inverse(u),v)* -> member(power_class(identity_relation),v)*.
% 299.72/300.41  225601[5:SpR:203228.1,223097.1] || equal(identity_relation,u) equal(power_class(v),universal_class) -> member(power_class(u),power_class(v))*.
% 299.72/300.41  225606[5:Res:223097.1,2.0] || equal(power_class(u),universal_class) subclass(power_class(u),v)* -> member(power_class(identity_relation),v)*.
% 299.72/300.41  225623[5:SpR:203228.1,223099.1] || equal(identity_relation,u) equal(sum_class(v),universal_class) -> member(power_class(u),sum_class(v))*.
% 299.72/300.41  225628[5:Res:223099.1,2.0] || equal(sum_class(u),universal_class) subclass(sum_class(u),v)* -> member(power_class(identity_relation),v)*.
% 299.72/300.41  225660[5:Res:5213.0,7606.2] || member(u,universal_class) subclass(universal_class,complement(omega))* -> equal(integer_of(sum_class(u)),identity_relation)**.
% 299.72/300.41  225705[5:SpR:203228.1,223101.1] || equal(identity_relation,u) equal(range_of(v),universal_class) -> member(power_class(u),range_of(v))*.
% 299.72/300.41  225710[5:Res:223101.1,2.0] || equal(range_of(u),universal_class) subclass(range_of(u),v)* -> member(power_class(identity_relation),v)*.
% 299.72/300.41  225925[20:MRR:225921.2,212333.0] || member(apply(choice,regular(symmetrization_of(identity_relation))),inverse(identity_relation))* -> equal(regular(symmetrization_of(identity_relation)),identity_relation).
% 299.72/300.41  225929[5:Rew:5253.1,225928.1] || member(apply(choice,u),singleton(u))* -> equal(u,identity_relation) equal(singleton(u),identity_relation).
% 299.72/300.41  226096[17:Res:7.1,195190.1] || equal(singleton(u),domain_relation)** member(v,universal_class) -> equal(ordered_pair(v,identity_relation),u)*.
% 299.72/300.41  226200[17:Res:7.1,195224.1] || equal(compose_class(u),domain_relation) member(v,universal_class) -> equal(compose(u,v),identity_relation)**.
% 299.72/300.41  226258[0:Res:7.1,20368.1] || equal(cross_product(u,v),rest_relation)** member(w,universal_class) -> member(rest_of(w),v)*.
% 299.72/300.41  226451[17:SpL:226282.1,122838.1] || member(u,universal_class) subclass(rest_relation,rest_of(rest_of(u)))* well_ordering(universal_class,identity_relation) -> .
% 299.72/300.41  226479[17:MRR:226422.3,5188.0] || member(u,universal_class) member(v,universal_class)* subclass(rest_relation,rest_of(rest_of(u)))* -> .
% 299.72/300.41  226502[11:SpL:203228.1,226220.0] || equal(identity_relation,u) equal(complement(intersection(power_class(u),union(v,w))),identity_relation)** -> .
% 299.72/300.41  226509[11:SpL:145868.1,226220.0] || subclass(union(u,v),power_class(identity_relation))* equal(complement(union(u,v)),identity_relation) -> .
% 299.72/300.41  226615[0:Res:7.1,7573.1] || equal(intersection(u,v),universal_class)** member(w,universal_class) -> member(power_class(w),v)*.
% 299.72/300.41  226732[0:Res:7.1,7572.1] || equal(intersection(u,v),universal_class)** member(w,universal_class) -> member(power_class(w),u)*.
% 299.72/300.41  227521[5:Res:5213.0,5602.0] ||  -> equal(integer_of(regular(intersection(complement(omega),u))),identity_relation)** equal(intersection(complement(omega),u),identity_relation).
% 299.72/300.41  227568[5:Rew:160.0,227493.1] || member(regular(symmetric_difference(u,v)),intersection(u,v))* -> equal(symmetric_difference(u,v),identity_relation).
% 299.72/300.41  227652[5:SpR:122708.0,227539.0] ||  -> equal(intersection(union(symmetric_difference(universal_class,u),v),intersection(union(u,identity_relation),complement(v))),identity_relation)**.
% 299.72/300.41  227654[5:SpR:122711.0,227539.0] ||  -> equal(intersection(union(u,symmetric_difference(universal_class,v)),intersection(complement(u),union(v,identity_relation))),identity_relation)**.
% 299.72/300.41  227665[5:SpR:579.0,227539.0] ||  -> equal(intersection(power_class(intersection(complement(u),complement(v))),image(element_relation,union(u,v))),identity_relation)**.
% 299.72/300.41  227777[5:SpR:122708.0,227712.0] ||  -> equal(union(union(symmetric_difference(universal_class,u),v),intersection(union(u,identity_relation),complement(v))),universal_class)**.
% 299.72/300.41  227779[5:SpR:122711.0,227712.0] ||  -> equal(union(union(u,symmetric_difference(universal_class,v)),intersection(complement(u),union(v,identity_relation))),universal_class)**.
% 299.72/300.41  227790[5:SpR:579.0,227712.0] ||  -> equal(union(power_class(intersection(complement(u),complement(v))),image(element_relation,union(u,v))),universal_class)**.
% 299.72/300.41  227842[5:SpR:122708.0,227727.0] ||  -> equal(symmetric_difference(union(symmetric_difference(universal_class,u),v),intersection(union(u,identity_relation),complement(v))),universal_class)**.
% 299.72/300.41  227844[5:SpR:122711.0,227727.0] ||  -> equal(symmetric_difference(union(u,symmetric_difference(universal_class,v)),intersection(complement(u),union(v,identity_relation))),universal_class)**.
% 299.72/300.41  227855[5:SpR:579.0,227727.0] ||  -> equal(symmetric_difference(power_class(intersection(complement(u),complement(v))),image(element_relation,union(u,v))),universal_class)**.
% 299.72/300.41  227939[5:Res:5213.0,5577.0] ||  -> equal(integer_of(regular(intersection(u,complement(omega)))),identity_relation)** equal(intersection(u,complement(omega)),identity_relation).
% 299.72/300.41  228234[5:Rew:22454.0,228002.0] ||  -> equal(union(image(element_relation,union(u,v)),power_class(intersection(complement(u),complement(v)))),universal_class)**.
% 299.72/300.41  228398[5:SpR:122708.0,227957.0] ||  -> equal(intersection(intersection(union(u,identity_relation),complement(v)),union(symmetric_difference(universal_class,u),v)),identity_relation)**.
% 299.72/300.41  228400[5:SpR:122711.0,227957.0] ||  -> equal(intersection(intersection(complement(u),union(v,identity_relation)),union(u,symmetric_difference(universal_class,v))),identity_relation)**.
% 299.72/300.41  228411[5:SpR:579.0,227957.0] ||  -> equal(intersection(image(element_relation,union(u,v)),power_class(intersection(complement(u),complement(v)))),identity_relation)**.
% 299.72/300.41  228508[5:SpR:122708.0,228164.0] ||  -> equal(union(intersection(union(u,identity_relation),complement(v)),union(symmetric_difference(universal_class,u),v)),universal_class)**.
% 299.72/300.41  228510[5:SpR:122711.0,228164.0] ||  -> equal(union(intersection(complement(u),union(v,identity_relation)),union(u,symmetric_difference(universal_class,v))),universal_class)**.
% 299.72/300.41  228565[5:SpR:122708.0,228195.0] ||  -> equal(symmetric_difference(intersection(union(u,identity_relation),complement(v)),union(symmetric_difference(universal_class,u),v)),universal_class)**.
% 299.72/300.41  228567[5:SpR:122711.0,228195.0] ||  -> equal(symmetric_difference(intersection(complement(u),union(v,identity_relation)),union(u,symmetric_difference(universal_class,v))),universal_class)**.
% 299.72/300.41  228578[5:SpR:579.0,228195.0] ||  -> equal(symmetric_difference(image(element_relation,union(u,v)),power_class(intersection(complement(u),complement(v)))),universal_class)**.
% 299.72/300.41  228753[5:Res:783.1,8086.1] || subclass(ordered_pair(u,v),w)* subclass(universal_class,regular(w)) -> equal(w,identity_relation).
% 299.72/300.41  228763[7:MRR:228724.2,201892.0] || subclass(universal_class,regular(complement(singleton(identity_relation)))) -> subclass(singleton(unordered_pair(u,v)),singleton(identity_relation))*.
% 299.72/300.41  228764[9:MRR:228726.2,201884.0] || subclass(universal_class,regular(complement(inverse(identity_relation)))) -> subclass(singleton(unordered_pair(u,v)),symmetrization_of(identity_relation))*.
% 299.72/300.41  228765[5:MRR:228730.2,204344.1] || member(unordered_pair(u,v),complement(w))* subclass(universal_class,regular(symmetric_difference(universal_class,w))) -> .
% 299.72/300.41  228881[0:Res:7.1,7608.1] || equal(intersection(u,v),universal_class)** member(w,universal_class) -> member(sum_class(w),v)*.
% 299.72/300.41  228967[0:Res:7.1,7607.1] || equal(intersection(u,v),universal_class)** member(w,universal_class) -> member(sum_class(w),u)*.
% 299.72/300.41  229063[5:MRR:229039.2,5188.0] || member(u,union(inverse(identity_relation),symmetrization_of(identity_relation)))* member(u,complement(symmetrization_of(identity_relation))) -> .
% 299.72/300.41  229083[5:SpL:2089.1,228756.0] || subclass(universal_class,regular(not_subclass_element(cross_product(u,v),w)))* -> subclass(cross_product(u,v),w).
% 299.72/300.41  229135[5:SpL:2089.1,229089.0] || equal(regular(not_subclass_element(cross_product(u,v),w)),universal_class)** -> subclass(cross_product(u,v),w).
% 299.72/300.41  229587[5:Res:7.1,5550.0] || equal(restrict(u,v,w),omega)** -> equal(integer_of(x),identity_relation) member(x,u)*.
% 299.72/300.41  230120[20:MRR:230104.2,212333.0] || member(not_subclass_element(regular(symmetrization_of(identity_relation)),u),inverse(identity_relation))* -> subclass(regular(symmetrization_of(identity_relation)),u).
% 299.72/300.41  230124[5:Rew:5253.1,230123.1] || member(not_subclass_element(u,v),singleton(u))* -> subclass(u,v) equal(singleton(u),identity_relation).
% 299.72/300.41  230240[0:Res:7.1,8385.0] || equal(restrict(u,v,w),universal_class)** -> member(unordered_pair(x,y),cross_product(v,w))*.
% 299.72/300.41  230284[5:SpL:5338.1,229090.0] || equal(complement(regular(regular(cross_product(u,v)))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  230309[5:Res:5213.0,8431.1] || subclass(u,complement(omega)) -> equal(integer_of(not_subclass_element(u,v)),identity_relation)** subclass(u,v).
% 299.72/300.41  230398[5:Res:230113.0,8.0] || subclass(complement(u),regular(u))* -> equal(u,identity_relation) equal(complement(u),regular(u)).
% 299.72/300.41  230426[7:Res:230400.0,8428.0] ||  -> subclass(regular(complement(singleton(identity_relation))),u) equal(not_subclass_element(regular(complement(singleton(identity_relation))),u),identity_relation)**.
% 299.72/300.41  230533[5:Obv:230450.1] || subclass(omega,u) -> equal(integer_of(v),identity_relation) subclass(intersection(w,singleton(v)),u)*.
% 299.72/300.41  230669[5:Obv:230575.1] || subclass(omega,u) -> equal(integer_of(v),identity_relation) subclass(intersection(singleton(v),w),u)*.
% 299.72/300.41  231342[5:Res:7.1,5318.0] || equal(restrict(u,v,w),x)* -> equal(x,identity_relation) member(regular(x),u)*.
% 299.72/300.41  231472[0:Res:7.1,8433.0] || equal(intersection(u,v),w)* -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.72/300.41  231489[0:Res:86317.0,8433.0] ||  -> subclass(complement(successor(u)),v) member(not_subclass_element(complement(successor(u)),v),complement(singleton(u)))*.
% 299.72/300.41  231490[0:Res:86316.0,8433.0] ||  -> subclass(complement(symmetrization_of(u)),v) member(not_subclass_element(complement(symmetrization_of(u)),v),complement(inverse(u)))*.
% 299.72/300.41  231573[5:SpL:22519.0,8432.0] || subclass(u,cantor(v)) -> subclass(u,w) member(not_subclass_element(u,w),domain_of(v))*.
% 299.72/300.41  231606[0:Res:7.1,8432.0] || equal(intersection(u,v),w)* -> subclass(w,x) member(not_subclass_element(w,x),u)*.
% 299.72/300.41  232839[5:MRR:232833.1,203268.0] || subclass(universal_class,u) -> equal(regular(unordered_pair(u,unordered_pair(v,w))),unordered_pair(v,w))**.
% 299.72/300.41  233016[5:MRR:233015.1,5184.0] || subclass(singleton(least(element_relation,omega)),omega) -> section(element_relation,singleton(least(element_relation,omega)),omega)*.
% 299.72/300.41  233069[5:SpL:5338.1,233044.0] || subclass(universal_class,regular(singleton(regular(cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  233088[5:SpL:5338.1,233077.0] || equal(regular(singleton(regular(cross_product(u,v)))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  233163[5:MRR:233158.1,203269.0] || subclass(universal_class,u) -> equal(regular(unordered_pair(unordered_pair(v,w),u)),unordered_pair(v,w))**.
% 299.72/300.41  233362[16:Res:230404.0,214860.0] || well_ordering(universal_class,complement(singleton(successor(range_of(identity_relation)))))* -> equal(singleton(successor(range_of(identity_relation))),identity_relation).
% 299.72/300.41  233396[9:Res:230404.0,214822.0] || well_ordering(universal_class,complement(singleton(complement(inverse(identity_relation)))))* -> equal(singleton(complement(inverse(identity_relation))),identity_relation).
% 299.72/300.41  233677[15:Rew:233676.0,192500.1] || member(u,universal_class) -> equal(segment(v,w,range_of(u)),segment(v,w,universal_class))**.
% 299.72/300.41  233680[17:Rew:233676.0,197301.1] ||  -> equal(range_of(u),identity_relation) equal(segment(v,w,inverse(u)),segment(v,w,universal_class))**.
% 299.72/300.41  233712[15:Rew:233711.0,192505.1] || member(u,universal_class) -> equal(range__dfg(v,range_of(u),w),range__dfg(v,universal_class,w))**.
% 299.72/300.41  233715[17:Rew:233711.0,197305.1] ||  -> equal(range_of(u),identity_relation) equal(range__dfg(v,inverse(u),w),range__dfg(v,universal_class,w))**.
% 299.72/300.41  233723[15:Rew:233722.0,192506.1] || member(u,universal_class) -> equal(domain__dfg(v,w,range_of(u)),domain__dfg(v,w,universal_class))**.
% 299.72/300.41  233726[17:Rew:233722.0,197306.1] ||  -> equal(range_of(u),identity_relation) equal(domain__dfg(v,w,inverse(u)),domain__dfg(v,w,universal_class))**.
% 299.72/300.41  233729[15:Rew:233722.0,191831.1] || asymmetric(u,identity_relation) -> equal(domain__dfg(intersection(u,inverse(u)),identity_relation,universal_class),single_valued3(identity_relation))**.
% 299.72/300.41  233749[17:Rew:233744.1,226388.2] one_to_one(u) || member(singleton(singleton(identity_relation)),compose_class(v))* -> equal(inverse(u),universal_class)**.
% 299.72/300.41  233936[0:Res:119650.1,28903.1] || equal(u,universal_class) member(u,universal_class) -> member(singleton(singleton(singleton(u))),element_relation)*.
% 299.72/300.41  233937[0:Res:763.1,28903.1] || subclass(universal_class,u) member(u,universal_class) -> member(singleton(singleton(singleton(u))),element_relation)*.
% 299.72/300.41  233970[17:MRR:233963.1,176.0] || subclass(domain_relation,singleton(singleton(identity_relation))) -> member(singleton(singleton(singleton(singleton(singleton(identity_relation))))),element_relation)*.
% 299.72/300.41  234104[5:Res:5201.1,623.1] inductive(power_class(image(element_relation,complement(u)))) || member(identity_relation,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  234213[17:Obv:234191.0] || equal(successor(u),identity_relation) member(u,universal_class)* subclass(domain_relation,complement(successor_relation))* -> .
% 299.72/300.41  234408[17:Rew:234406.1,220176.2] function(u) || member(ordered_pair(v,singleton(singleton(identity_relation))),composition_function)* -> equal(universal_class,u)*.
% 299.72/300.41  234628[0:Res:3780.1,2036.0] || equal(complement(complement(rest_of(u))),universal_class) -> equal(restrict(u,singleton(v),universal_class),v)**.
% 299.72/300.41  234642[17:Rew:234525.1,234641.2] one_to_one(u) || member(singleton(singleton(identity_relation)),rest_of(v))* -> equal(inverse(u),universal_class)**.
% 299.72/300.41  234720[5:Res:52.1,5558.0] inductive(rest_of(u)) ||  -> equal(integer_of(ordered_pair(v,w)),identity_relation)** member(v,domain_of(u))*.
% 299.72/300.41  234750[5:SoR:233587.0,4792.2] single_valued_class(element_relation) || equal(power_class(universal_class),identity_relation) equal(cross_product(universal_class,universal_class),element_relation)** -> .
% 299.72/300.41  234926[17:MRR:234865.1,5188.0] || member(u,universal_class) -> equal(apply(regular(complement(power_class(identity_relation))),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234927[17:MRR:234866.1,5188.0] || member(u,universal_class) -> equal(apply(regular(complement(power_class(universal_class))),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234928[17:MRR:234867.1,5188.0] || member(u,universal_class) -> equal(apply(regular(complement(symmetrization_of(identity_relation))),u),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234934[7:MRR:234914.0,5265.0] || equal(complement(domain_of(u)),singleton(identity_relation)) -> equal(apply(u,identity_relation),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234943[5:MRR:234879.0,176.0] || subclass(universal_class,complement(domain_of(u)))* -> equal(apply(u,singleton(v)),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234944[5:MRR:234886.0,205135.0] || subclass(universal_class,complement(domain_of(u)))* -> equal(apply(u,power_class(identity_relation)),sum_class(range_of(identity_relation))).
% 299.72/300.41  234945[5:MRR:234903.0,176.0] || well_ordering(universal_class,domain_of(u)) -> equal(apply(u,singleton(singleton(v))),sum_class(range_of(identity_relation)))**.
% 299.72/300.41  234949[5:MRR:234897.0,29531.1] ||  -> equal(apply(u,not_subclass_element(v,domain_of(u))),sum_class(range_of(identity_relation)))** subclass(v,domain_of(u)).
% 299.72/300.41  235102[5:SpL:5338.1,233420.0] || well_ordering(universal_class,complement(singleton(regular(cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.72/300.41  235135[5:SpL:233494.0,3646.0] || subclass(apply(u,universal_class),image(u,identity_relation))* -> section(element_relation,image(u,identity_relation),universal_class).
% 299.72/300.41  235281[15:SpR:233634.0,5544.1] || subclass(omega,element_relation) -> equal(integer_of(ordered_pair(u,universal_class)),identity_relation)** member(u,range_of(identity_relation)).
% 299.72/300.41  235329[17:SpL:233634.0,192766.0] || member(ordered_pair(u,universal_class),cross_product(universal_class,universal_class))* member(range_of(identity_relation),domain_of(u)) -> .
% 299.72/300.41  235386[15:Rew:233642.1,235366.1] || member(ordered_pair(u,ordered_pair(v,universal_class)),composition_function)* -> equal(sum_class(range_of(identity_relation)),range_of(identity_relation)).
% 299.72/300.41  235385[15:Rew:235384.1,233665.1] || member(ordered_pair(u,universal_class),rest_of(v))* -> equal(restrict(v,u,universal_class),range_of(identity_relation)).
% 299.72/300.41  235387[15:Rew:235386.1,233642.1] || member(ordered_pair(u,ordered_pair(v,universal_class)),composition_function)* -> equal(compose(u,v),range_of(identity_relation)).
% 299.72/300.41  235479[17:MRR:235437.2,5.0] || equal(complement(u),identity_relation) member(v,universal_class) -> member(ordered_pair(v,identity_relation),u)*.
% 299.72/300.41  235690[0:Res:20387.1,146.0] || subclass(rest_relation,rotate(rest_relation)) -> equal(rest_of(ordered_pair(u,rest_of(ordered_pair(v,u)))),v)**.
% 299.72/300.41  235703[0:Res:20387.1,46.0] || subclass(rest_relation,rotate(successor_relation)) -> equal(successor(ordered_pair(u,rest_of(ordered_pair(v,u)))),v)**.
% 299.72/300.41  235729[5:MRR:235654.1,202145.0] || subclass(rest_relation,rotate(complement(singleton(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v)))))* -> .
% 299.72/300.41  235806[0:Res:20388.1,146.0] || subclass(rest_relation,flip(rest_relation)) -> equal(rest_of(ordered_pair(u,v)),rest_of(ordered_pair(v,u)))*.
% 299.72/300.41  235819[0:Res:20388.1,46.0] || subclass(rest_relation,flip(successor_relation)) -> equal(rest_of(ordered_pair(u,v)),successor(ordered_pair(v,u)))**.
% 299.72/300.41  235836[5:MRR:235770.1,202145.0] || subclass(rest_relation,flip(complement(singleton(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u)))))))* -> .
% 299.72/300.41  236015[5:Res:52.1,5465.0] inductive(u) || subclass(u,v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.72/300.41  236323[17:Res:195387.1,233419.0] || subclass(domain_relation,rotate(singleton(omega))) -> equal(integer_of(ordered_pair(ordered_pair(u,identity_relation),v)),identity_relation)**.
% 299.72/300.41  236327[17:Res:195388.1,233419.0] || subclass(domain_relation,flip(singleton(omega))) -> equal(integer_of(ordered_pair(ordered_pair(u,v),identity_relation)),identity_relation)**.
% 299.72/300.41  236330[5:Res:766.2,233419.0] || subclass(u,singleton(omega)) -> subclass(u,v) equal(integer_of(not_subclass_element(u,v)),identity_relation)**.
% 299.72/300.41  236345[5:Res:783.1,233419.0] || subclass(ordered_pair(u,v),singleton(omega))* -> equal(integer_of(unordered_pair(u,singleton(v))),identity_relation).
% 299.72/300.41  236550[5:SpR:233485.0,146057.0] ||  -> equal(intersection(segment(universal_class,u,universal_class),cantor(cross_product(u,identity_relation))),cantor(cross_product(u,identity_relation)))**.
% 299.72/300.41  236557[7:SpR:233485.0,193112.1] || equal(cantor(cross_product(u,identity_relation)),singleton(identity_relation)) -> member(identity_relation,segment(universal_class,u,universal_class))*.
% 299.72/300.41  236568[5:SpR:233485.0,45832.1] || member(u,cantor(cross_product(v,identity_relation))) -> subclass(singleton(u),segment(universal_class,v,universal_class))*.
% 299.72/300.41  236572[5:SpL:233485.0,194882.0] || equal(complement(segment(universal_class,u,universal_class)),universal_class)** -> equal(cantor(cross_product(u,identity_relation)),identity_relation).
% 299.72/300.41  236573[5:SpL:233485.0,203726.0] || equal(complement(segment(universal_class,u,universal_class)),identity_relation)** -> equal(cantor(cross_product(u,identity_relation)),universal_class).
% 299.72/300.41  236578[5:SpL:233485.0,40700.0] || member(cross_product(u,identity_relation),segment(universal_class,u,universal_class))* subclass(universal_class,complement(element_relation)) -> .
% 299.72/300.41  236579[7:SpL:233485.0,176818.1] || member(identity_relation,cantor(cross_product(u,identity_relation))) well_ordering(universal_class,segment(universal_class,u,universal_class))* -> .
% 299.72/300.41  236580[5:SpL:233485.0,122838.1] || subclass(rest_relation,rest_of(cross_product(u,identity_relation))) well_ordering(universal_class,segment(universal_class,u,universal_class))* -> .
% 299.72/300.41  237171[5:Obv:237121.1] || equal(u,v) -> equal(unordered_pair(v,u),identity_relation) member(v,unordered_pair(v,u))*.
% 299.72/300.41  237172[17:Obv:237136.2] || equal(u,v) equal(rest_of(v),rest_relation) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.72/300.41  237173[5:Obv:237140.2] || equal(u,v) equal(singleton(v),identity_relation) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.72/300.41  237212[5:MRR:237204.1,203267.0] || subclass(universal_class,u) -> equal(regular(unordered_pair(u,ordered_pair(v,w))),ordered_pair(v,w))**.
% 299.72/300.41  237221[5:MRR:237217.1,203268.0] || equal(u,universal_class) -> equal(regular(unordered_pair(u,unordered_pair(v,w))),unordered_pair(v,w))**.
% 299.72/300.41  237238[5:MRR:237232.1,203270.0] || subclass(universal_class,u) -> equal(regular(unordered_pair(ordered_pair(v,w),u)),ordered_pair(v,w))**.
% 299.72/300.41  237245[5:MRR:237243.1,203269.0] || equal(u,universal_class) -> equal(regular(unordered_pair(unordered_pair(v,w),u)),unordered_pair(v,w))**.
% 299.72/300.41  237721[5:Rew:237395.0,237684.1] || member(not_subclass_element(intersection(u,v),identity_relation),complement(v))* -> subclass(intersection(u,v),identity_relation).
% 299.72/300.41  237983[5:Rew:22519.0,237853.0] ||  -> equal(intersection(u,cantor(v)),identity_relation) member(regular(intersection(u,cantor(v))),domain_of(v))*.
% 299.72/300.41  238313[5:SpR:939.0,237985.0] ||  -> equal(intersection(complement(complement(restrict(u,v,w))),symmetric_difference(cross_product(v,w),u)),identity_relation)**.
% 299.72/300.41  238314[5:SpR:938.0,237985.0] ||  -> equal(intersection(complement(complement(restrict(u,v,w))),symmetric_difference(u,cross_product(v,w))),identity_relation)**.
% 299.72/300.41  238429[5:Rew:237985.0,238393.1] || member(not_subclass_element(intersection(u,v),identity_relation),complement(u))* -> subclass(intersection(u,v),identity_relation).
% 299.72/300.41  238502[5:SpR:123.0,238306.0] ||  -> equal(intersection(complement(segment(u,v,w)),cantor(restrict(u,v,singleton(w)))),identity_relation)**.
% 299.72/300.41  239570[5:Rew:22519.0,239434.0] ||  -> equal(intersection(cantor(u),v),identity_relation) member(regular(intersection(cantor(u),v)),domain_of(u))*.
% 299.72/300.41  239947[5:SpR:939.0,239572.0] ||  -> equal(intersection(symmetric_difference(cross_product(u,v),w),complement(complement(restrict(w,u,v)))),identity_relation)**.
% 299.72/300.41  239948[5:SpR:938.0,239572.0] ||  -> equal(intersection(symmetric_difference(u,cross_product(v,w)),complement(complement(restrict(u,v,w)))),identity_relation)**.
% 299.72/300.41  240098[5:SpR:123.0,239940.0] ||  -> equal(intersection(cantor(restrict(u,v,singleton(w))),complement(segment(u,v,w))),identity_relation)**.
% 299.72/300.41  240381[5:Res:5604.2,153534.1] || subclass(u,v)* equal(complement(v),universal_class) -> equal(intersection(u,w),identity_relation)**.
% 299.72/300.41  240418[5:MRR:240342.2,203296.0] || subclass(u,complement(singleton(regular(intersection(u,v)))))* -> equal(intersection(u,v),identity_relation).
% 299.72/300.41  240449[7:SpR:239323.0,145868.1] || subclass(symmetric_difference(universal_class,singleton(identity_relation)),singleton(identity_relation))* -> equal(symmetric_difference(universal_class,singleton(identity_relation)),identity_relation).
% 299.72/300.41  240551[5:SpR:239324.0,145868.1] || subclass(symmetric_difference(universal_class,inverse(identity_relation)),symmetrization_of(identity_relation))* -> equal(symmetric_difference(universal_class,inverse(identity_relation)),identity_relation).
% 299.72/300.41  240974[5:Res:5579.2,153534.1] || subclass(u,v)* equal(complement(v),universal_class) -> equal(intersection(w,u),identity_relation)**.
% 299.72/300.41  241012[5:MRR:240935.2,203296.0] || subclass(u,complement(singleton(regular(intersection(v,u)))))* -> equal(intersection(v,u),identity_relation).
% 299.72/300.41  241970[5:MRR:241966.1,203267.0] || equal(u,universal_class) -> equal(regular(unordered_pair(u,ordered_pair(v,w))),ordered_pair(v,w))**.
% 299.72/300.41  241983[5:MRR:241981.1,203270.0] || equal(u,universal_class) -> equal(regular(unordered_pair(ordered_pair(v,w),u)),ordered_pair(v,w))**.
% 299.72/300.41  242053[5:Res:5201.1,8150.0] inductive(symmetric_difference(cross_product(u,v),w)) ||  -> member(identity_relation,complement(restrict(w,u,v)))*.
% 299.72/300.41  242187[5:SpL:200704.1,242117.0] || equal(u,universal_class) member(u,domain_of(complement(cross_product(identity_relation,universal_class))))* -> inductive(u).
% 299.72/300.41  242191[12:SpL:191620.1,242117.0] || member(u,universal_class) member(sum_class(range_of(u)),domain_of(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.41  242219[17:Res:195387.1,242117.0] || subclass(domain_relation,rotate(domain_of(complement(cross_product(singleton(ordered_pair(ordered_pair(u,identity_relation),v)),universal_class)))))* -> .
% 299.72/300.41  242223[17:Res:195388.1,242117.0] || subclass(domain_relation,flip(domain_of(complement(cross_product(singleton(ordered_pair(ordered_pair(u,v),identity_relation)),universal_class)))))* -> .
% 299.72/300.41  242226[5:Res:766.2,242117.0] || subclass(u,domain_of(complement(cross_product(singleton(not_subclass_element(u,v)),universal_class))))* -> subclass(u,v).
% 299.72/300.41  242227[5:Res:764.2,242117.0] || member(u,universal_class) subclass(universal_class,domain_of(complement(cross_product(singleton(power_class(u)),universal_class))))* -> .
% 299.72/300.41  242229[5:Res:765.2,242117.0] || member(u,universal_class) subclass(universal_class,domain_of(complement(cross_product(singleton(sum_class(u)),universal_class))))* -> .
% 299.72/300.41  242237[5:Res:783.1,242117.0] || subclass(ordered_pair(u,v),domain_of(complement(cross_product(singleton(unordered_pair(u,singleton(v))),universal_class))))* -> .
% 299.72/300.41  242325[5:Res:5201.1,8147.0] inductive(symmetric_difference(u,cross_product(v,w))) ||  -> member(identity_relation,complement(restrict(u,v,w)))*.
% 299.72/300.41  242376[5:SpL:233410.0,756.0] || member(u,cantor(restrict(v,w,identity_relation)))* -> member(u,segment(v,w,universal_class)).
% 299.72/300.41  242451[5:Res:5201.1,756.0] inductive(cantor(restrict(u,v,singleton(w)))) ||  -> member(identity_relation,segment(u,v,w))*.
% 299.72/300.41  242557[5:SpR:233410.0,9097.0] ||  -> equal(domain_of(restrict(cross_product(u,identity_relation),v,w)),segment(cross_product(v,w),u,universal_class))**.
% 299.72/300.41  242710[0:Res:52.1,8435.0] inductive(restrict(u,v,w)) ||  -> subclass(omega,x) member(not_subclass_element(omega,x),u)*.
% 299.72/300.41  244069[5:SpL:200704.1,242218.0] || equal(u,universal_class) member(u,cantor(complement(cross_product(identity_relation,universal_class))))* -> inductive(u).
% 299.72/300.41  244073[12:SpL:191620.1,242218.0] || member(u,universal_class) member(sum_class(range_of(u)),cantor(complement(cross_product(identity_relation,universal_class))))* -> .
% 299.72/300.41  244093[17:Res:195387.1,242218.0] || subclass(domain_relation,rotate(cantor(complement(cross_product(singleton(ordered_pair(ordered_pair(u,identity_relation),v)),universal_class)))))* -> .
% 299.72/300.41  244097[17:Res:195388.1,242218.0] || subclass(domain_relation,flip(cantor(complement(cross_product(singleton(ordered_pair(ordered_pair(u,v),identity_relation)),universal_class)))))* -> .
% 299.72/300.41  244100[5:Res:766.2,242218.0] || subclass(u,cantor(complement(cross_product(singleton(not_subclass_element(u,v)),universal_class))))* -> subclass(u,v).
% 299.72/300.41  244101[5:Res:764.2,242218.0] || member(u,universal_class) subclass(universal_class,cantor(complement(cross_product(singleton(power_class(u)),universal_class))))* -> .
% 299.72/300.41  244103[5:Res:765.2,242218.0] || member(u,universal_class) subclass(universal_class,cantor(complement(cross_product(singleton(sum_class(u)),universal_class))))* -> .
% 299.72/300.41  244111[5:Res:783.1,242218.0] || subclass(ordered_pair(u,v),cantor(complement(cross_product(singleton(unordered_pair(u,singleton(v))),universal_class))))* -> .
% 299.72/300.41  244181[5:SpR:27.0,237599.0] ||  -> equal(intersection(union(u,v),restrict(intersection(complement(u),complement(v)),w,x)),identity_relation)**.
% 299.72/300.41  244194[7:SpR:189471.0,237599.0] ||  -> equal(intersection(power_class(complement(singleton(identity_relation))),restrict(image(element_relation,singleton(identity_relation)),u,v)),identity_relation)**.
% 299.72/300.41  244196[5:SpR:122494.0,237599.0] ||  -> equal(intersection(power_class(complement(inverse(identity_relation))),restrict(image(element_relation,symmetrization_of(identity_relation)),u,v)),identity_relation)**.
% 299.72/300.41  244307[5:SpR:27.0,239026.0] ||  -> equal(intersection(restrict(intersection(complement(u),complement(v)),w,x),union(u,v)),identity_relation)**.
% 299.72/300.41  244320[7:SpR:189471.0,239026.0] ||  -> equal(intersection(restrict(image(element_relation,singleton(identity_relation)),u,v),power_class(complement(singleton(identity_relation)))),identity_relation)**.
% 299.72/300.41  244322[5:SpR:122494.0,239026.0] ||  -> equal(intersection(restrict(image(element_relation,symmetrization_of(identity_relation)),u,v),power_class(complement(inverse(identity_relation)))),identity_relation)**.
% 299.72/300.41  244392[5:Rew:239026.0,244360.1] || member(not_subclass_element(complement(u),identity_relation),restrict(u,v,w))* -> subclass(complement(u),identity_relation).
% 299.72/300.41  244580[15:Rew:191737.0,244568.1,118447.0,244568.1] || subclass(symmetric_difference(universal_class,range_of(identity_relation)),successor(range_of(identity_relation)))* -> subclass(universal_class,successor(range_of(identity_relation))).
% 299.72/300.41  244685[21:Res:5201.1,243787.1] inductive(complement(compose(complement(element_relation),inverse(element_relation)))) || member(identity_relation,cross_product(universal_class,universal_class))* -> .
% 299.72/300.41  244903[20:Res:5288.2,241679.0] || subclass(omega,symmetric_difference(universal_class,inverse(identity_relation)))* -> equal(integer_of(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),identity_relation).
% 299.72/300.41  244950[20:Res:26.2,244901.0] || member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),universal_class) -> member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),inverse(identity_relation))*.
% 299.72/300.41  245342[20:Res:244951.0,772.1] || member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),universal_class) -> member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),symmetrization_of(identity_relation))*.
% 299.72/300.41  245775[5:SpL:203228.1,242215.0] || equal(identity_relation,u) subclass(universal_class,domain_of(complement(cross_product(singleton(power_class(u)),universal_class))))* -> .
% 299.72/300.41  245857[0:Res:30217.2,111279.0] || member(u,universal_class) equal(successor(singleton(u)),u)** well_ordering(universal_class,successor_relation) -> .
% 299.72/300.41  245858[5:Res:30217.2,204710.1] || member(u,universal_class) equal(successor(singleton(u)),u)** subclass(successor_relation,identity_relation) -> .
% 299.72/300.41  245921[5:SpL:203228.1,244092.0] || equal(identity_relation,u) subclass(universal_class,cantor(complement(cross_product(singleton(power_class(u)),universal_class))))* -> .
% 299.72/300.41  245933[5:SpL:203228.1,245788.0] || equal(identity_relation,u) equal(domain_of(complement(cross_product(singleton(power_class(u)),universal_class))),universal_class)** -> .
% 299.72/300.41  245949[5:SpL:203228.1,245793.0] || equal(identity_relation,u) equal(rest_of(complement(cross_product(singleton(power_class(u)),universal_class))),rest_relation)** -> .
% 299.72/300.41  245955[5:SpL:203228.1,245794.0] || equal(identity_relation,u) equal(cantor(complement(cross_product(singleton(power_class(u)),universal_class))),universal_class)** -> .
% 299.72/300.41  247186[5:SpR:21037.0,168067.1] || equal(complement(successor(u)),universal_class) -> equal(symmetric_difference(complement(u),complement(singleton(u))),identity_relation)**.
% 299.72/300.41  247260[0:SpL:21037.0,817.0] || subclass(universal_class,symmetric_difference(complement(u),complement(singleton(u))))* -> member(singleton(v),successor(u))*.
% 299.72/300.41  247266[0:SpL:21037.0,4131.0] || equal(symmetric_difference(complement(u),complement(singleton(u))),universal_class)** -> member(singleton(v),successor(u))*.
% 299.72/300.41  247268[5:SpL:21037.0,203648.0] || equal(complement(symmetric_difference(complement(u),complement(singleton(u)))),identity_relation)** -> member(identity_relation,successor(u)).
% 299.72/300.41  247276[7:SpL:21037.0,125684.0] || equal(symmetric_difference(complement(u),complement(singleton(u))),singleton(identity_relation))** -> member(identity_relation,successor(u)).
% 299.72/300.41  247303[5:Rew:22457.0,247218.1] || equal(singleton(u),identity_relation) -> equal(intersection(successor(u),universal_class),symmetric_difference(complement(u),universal_class))**.
% 299.72/300.41  247304[5:Rew:22458.0,247222.1] || equal(identity_relation,u) -> equal(symmetric_difference(universal_class,complement(singleton(u))),intersection(successor(u),universal_class))**.
% 299.72/300.41  247306[17:Rew:22457.0,247215.1,22454.0,247215.1] one_to_one(u) ||  -> equal(intersection(successor(inverse(u)),universal_class),symmetric_difference(complement(inverse(u)),universal_class))**.
% 299.72/300.41  247928[0:MRR:247882.0,641.0] || member(u,universal_class) subclass(rest_relation,complement(unordered_pair(v,ordered_pair(u,rest_of(u)))))* -> .
% 299.72/300.41  247929[0:MRR:247881.0,641.0] || member(u,universal_class) subclass(rest_relation,complement(unordered_pair(ordered_pair(u,rest_of(u)),v)))* -> .
% 299.72/300.41  248488[5:SpR:21036.0,168067.1] || equal(complement(symmetrization_of(u)),universal_class) -> equal(symmetric_difference(complement(u),complement(inverse(u))),identity_relation)**.
% 299.72/300.41  248550[0:SpL:21036.0,817.0] || subclass(universal_class,symmetric_difference(complement(u),complement(inverse(u))))* -> member(singleton(v),symmetrization_of(u))*.
% 299.72/300.41  248556[0:SpL:21036.0,4131.0] || equal(symmetric_difference(complement(u),complement(inverse(u))),universal_class)** -> member(singleton(v),symmetrization_of(u))*.
% 299.72/300.41  248558[5:SpL:21036.0,203648.0] || equal(complement(symmetric_difference(complement(u),complement(inverse(u)))),identity_relation)** -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.41  248566[7:SpL:21036.0,125684.0] || equal(symmetric_difference(complement(u),complement(inverse(u))),singleton(identity_relation))** -> member(identity_relation,symmetrization_of(u)).
% 299.72/300.41  248589[5:Rew:22457.0,248511.1] || equal(inverse(u),identity_relation) -> equal(intersection(symmetrization_of(u),universal_class),symmetric_difference(complement(u),universal_class))**.
% 299.72/300.41  248591[5:Rew:22458.0,248516.1] || equal(identity_relation,u) -> equal(symmetric_difference(universal_class,complement(inverse(u))),intersection(symmetrization_of(u),universal_class))**.
% 299.72/300.41  248728[5:Res:24180.2,204710.1] || member(u,universal_class)* equal(rest_of(u),successor(u)) subclass(successor_relation,identity_relation) -> .
% 299.72/300.41  249282[0:Rew:249197.0,9012.0] ||  -> subclass(symmetric_difference(complement(u),power_class(complement(power_class(v)))),union(u,image(element_relation,power_class(v))))*.
% 299.72/300.41  249532[5:Rew:249197.0,217451.1] || equal(complement(intersection(power_class(u),universal_class)),identity_relation)** member(identity_relation,complement(power_class(u))) -> .
% 299.72/300.41  249534[7:Rew:249197.0,216753.0] || member(identity_relation,complement(power_class(u))) subclass(complement(intersection(power_class(u),universal_class)),identity_relation)* -> .
% 299.72/300.41  249603[14:Rew:249197.0,234099.0] || equal(power_class(complement(power_class(u))),omega) member(identity_relation,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  249605[14:Rew:249197.0,178454.1] || equal(image(element_relation,power_class(u)),universal_class)** equal(power_class(complement(power_class(u))),omega) -> .
% 299.72/300.41  249606[14:Rew:249197.0,178498.1] || equal(image(element_relation,power_class(u)),omega)** equal(power_class(complement(power_class(u))),omega) -> .
% 299.72/300.41  249610[15:Rew:249197.0,199291.0] || well_ordering(universal_class,power_class(complement(power_class(u)))) -> member(singleton(identity_relation),image(element_relation,power_class(u)))*.
% 299.72/300.41  249611[0:Rew:249197.0,152841.0] || well_ordering(universal_class,power_class(complement(power_class(u)))) well_ordering(universal_class,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  249633[5:Rew:249197.0,27161.1] || subclass(universal_class,image(element_relation,power_class(u))) subclass(domain_relation,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  249634[5:Rew:249197.0,27175.1] || subclass(domain_relation,image(element_relation,power_class(u)))* subclass(domain_relation,power_class(complement(power_class(u)))) -> .
% 299.72/300.41  249647[5:Rew:249197.0,5498.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(identity_relation,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  249648[0:Rew:249197.0,870.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(omega,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  249649[0:Rew:249197.0,126843.1] || equal(image(element_relation,power_class(u)),universal_class) subclass(universal_class,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  249650[0:Rew:249197.0,3669.1] || subclass(universal_class,image(element_relation,power_class(u)))* subclass(universal_class,power_class(complement(power_class(u)))) -> .
% 299.72/300.41  249651[5:Rew:249197.0,126291.1] || subclass(domain_relation,image(element_relation,power_class(u)))* subclass(universal_class,power_class(complement(power_class(u)))) -> .
% 299.72/300.41  249652[0:Rew:249197.0,9020.0] ||  -> subclass(symmetric_difference(power_class(complement(power_class(u))),complement(v)),union(image(element_relation,power_class(u)),v))*.
% 299.72/300.41  249655[5:Rew:249197.0,27254.1] || equal(image(element_relation,power_class(u)),universal_class)** equal(power_class(complement(power_class(u))),domain_relation) -> .
% 299.72/300.41  249656[5:Rew:249197.0,27292.1] || equal(image(element_relation,power_class(u)),domain_relation)** equal(power_class(complement(power_class(u))),domain_relation) -> .
% 299.72/300.41  249659[14:Rew:249197.0,178198.0] || subclass(omega,power_class(complement(power_class(u)))) member(identity_relation,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  249770[0:Rew:249197.0,212560.1] || subclass(universal_class,image(element_relation,power_class(u))) member(omega,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  249796[7:Rew:249197.0,189347.1] inductive(image(element_relation,power_class(u))) || equal(power_class(complement(power_class(u))),singleton(identity_relation))** -> .
% 299.72/300.41  249798[15:Rew:249197.0,194027.1] ||  -> member(singleton(identity_relation),image(element_relation,power_class(u)))* member(singleton(identity_relation),power_class(complement(power_class(u)))).
% 299.72/300.41  249809[5:Rew:249197.0,206574.0] || subclass(power_class(complement(power_class(u))),identity_relation) well_ordering(universal_class,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  249849[5:Rew:249197.0,244193.0] ||  -> equal(intersection(power_class(complement(power_class(u))),restrict(image(element_relation,power_class(u)),v,w)),identity_relation)**.
% 299.72/300.41  249850[5:Rew:249197.0,244319.0] ||  -> equal(intersection(restrict(image(element_relation,power_class(u)),v,w),power_class(complement(power_class(u)))),identity_relation)**.
% 299.72/300.41  249888[5:Rew:249197.0,217539.1] || equal(complement(intersection(power_class(u),universal_class)),identity_relation)** member(omega,complement(power_class(u))) -> .
% 299.72/300.41  250034[0:Rew:249197.0,86375.0] ||  -> subclass(complement(symmetrization_of(complement(power_class(u)))),intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.72/300.41  250036[5:Rew:249197.0,245167.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),symmetrization_of(complement(power_class(u))))** -> .
% 299.72/300.41  250159[0:Rew:249197.0,86419.0] ||  -> subclass(complement(successor(complement(power_class(u)))),intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.72/300.41  250161[5:Rew:249197.0,245583.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),successor(complement(power_class(u))))** -> .
% 299.72/300.41  250367[5:Rew:250258.0,27698.1] inductive(symmetric_difference(complement(u),power_class(identity_relation))) ||  -> member(identity_relation,union(u,complement(power_class(identity_relation))))*.
% 299.72/300.41  250495[5:Rew:250286.0,26995.1] inductive(symmetric_difference(complement(u),power_class(universal_class))) ||  -> member(identity_relation,union(u,complement(power_class(universal_class))))*.
% 299.72/300.41  250619[5:Rew:250502.0,27671.1] inductive(symmetric_difference(power_class(identity_relation),complement(u))) ||  -> member(identity_relation,union(complement(power_class(identity_relation)),u))*.
% 299.72/300.41  250745[5:Rew:250538.0,27024.1] inductive(symmetric_difference(power_class(universal_class),complement(u))) ||  -> member(identity_relation,union(complement(power_class(universal_class)),u))*.
% 299.72/300.41  250776[0:Rew:249197.0,249934.1] || subclass(complement(power_class(u)),v) -> subclass(symmetric_difference(v,complement(power_class(u))),power_class(u))*.
% 299.72/300.41  250777[5:Rew:249197.0,249952.0] || equal(symmetrization_of(complement(power_class(u))),universal_class) -> equal(complement(symmetrization_of(complement(power_class(u)))),identity_relation)**.
% 299.72/300.41  250778[5:Rew:249197.0,249965.1] || equal(symmetrization_of(complement(power_class(u))),identity_relation) subclass(universal_class,symmetrization_of(complement(power_class(u))))* -> .
% 299.72/300.41  250779[5:Rew:249197.0,249966.1] || equal(symmetrization_of(complement(power_class(u))),identity_relation) equal(symmetrization_of(complement(power_class(u))),domain_relation)** -> .
% 299.72/300.41  250780[14:Rew:249197.0,249967.1] || equal(symmetrization_of(complement(power_class(u))),identity_relation)** equal(symmetrization_of(complement(power_class(u))),omega) -> .
% 299.72/300.41  250781[5:Rew:249197.0,249968.1] || equal(symmetrization_of(complement(power_class(u))),identity_relation)** equal(symmetrization_of(complement(power_class(u))),universal_class) -> .
% 299.72/300.41  250782[5:Rew:249197.0,249970.1] || equal(symmetrization_of(complement(power_class(u))),identity_relation) -> member(identity_relation,complement(inverse(complement(power_class(u)))))*.
% 299.72/300.41  250783[5:Rew:249197.0,249973.1] || equal(symmetrization_of(complement(power_class(u))),universal_class) -> section(element_relation,symmetrization_of(complement(power_class(u))),universal_class)*.
% 299.72/300.41  250784[5:Rew:249197.0,249974.1] || equal(symmetrization_of(complement(power_class(u))),universal_class) -> member(power_class(identity_relation),symmetrization_of(complement(power_class(u))))*.
% 299.72/300.41  250785[5:Rew:249197.0,249975.1] || equal(symmetrization_of(complement(power_class(u))),universal_class) -> equal(successor(symmetrization_of(complement(power_class(u)))),universal_class)**.
% 299.72/300.41  250786[5:Rew:249197.0,249981.0] || equal(complement(inverse(complement(power_class(u)))),identity_relation)** -> equal(symmetrization_of(complement(power_class(u))),universal_class).
% 299.72/300.41  250787[5:Rew:249197.0,249982.0] || subclass(complement(inverse(complement(power_class(u)))),identity_relation)* -> equal(symmetrization_of(complement(power_class(u))),universal_class).
% 299.72/300.41  250788[5:Rew:249197.0,250077.0] || equal(successor(complement(power_class(u))),universal_class) -> equal(complement(successor(complement(power_class(u)))),identity_relation)**.
% 299.72/300.41  250789[5:Rew:249197.0,250092.1] || equal(successor(complement(power_class(u))),identity_relation) subclass(universal_class,successor(complement(power_class(u))))* -> .
% 299.72/300.41  250790[5:Rew:249197.0,250093.1] || equal(successor(complement(power_class(u))),identity_relation) equal(successor(complement(power_class(u))),domain_relation)** -> .
% 299.72/300.41  250791[14:Rew:249197.0,250094.1] || equal(successor(complement(power_class(u))),identity_relation)** equal(successor(complement(power_class(u))),omega) -> .
% 299.72/300.41  250792[5:Rew:249197.0,250095.1] || equal(successor(complement(power_class(u))),identity_relation)** equal(successor(complement(power_class(u))),universal_class) -> .
% 299.72/300.41  250793[5:Rew:249197.0,250097.1] || equal(successor(complement(power_class(u))),identity_relation) -> member(identity_relation,complement(singleton(complement(power_class(u)))))*.
% 299.72/300.41  250794[5:Rew:249197.0,250100.1] || equal(successor(complement(power_class(u))),universal_class) -> section(element_relation,successor(complement(power_class(u))),universal_class)*.
% 299.72/300.41  250795[5:Rew:249197.0,250101.1] || equal(successor(complement(power_class(u))),universal_class) -> member(power_class(identity_relation),successor(complement(power_class(u))))*.
% 299.72/300.41  250796[5:Rew:249197.0,250102.1] || equal(successor(complement(power_class(u))),universal_class) -> equal(successor(successor(complement(power_class(u)))),universal_class)**.
% 299.72/300.41  251812[5:Rew:251767.0,193088.0] || subclass(complement(power_class(universal_class)),u)* -> subclass(singleton(v),power_class(universal_class))* member(v,u)*.
% 299.72/300.41  252446[10:Rew:251767.0,251884.1] || well_ordering(universal_class,complement(singleton(complement(power_class(universal_class)))))* -> equal(singleton(complement(power_class(universal_class))),identity_relation).
% 299.72/300.41  252447[5:Rew:251767.0,251896.0] ||  -> subclass(singleton(not_subclass_element(u,complement(power_class(universal_class)))),power_class(universal_class))* subclass(u,complement(power_class(universal_class))).
% 299.72/300.41  251996[5:Rew:251768.0,180092.0] || subclass(complement(power_class(identity_relation)),u)* -> subclass(singleton(v),power_class(identity_relation))* member(v,u)*.
% 299.72/300.41  252029[5:Rew:251768.0,244424.1] || equal(identity_relation,u) equal(image(element_relation,power_class(u)),power_class(complement(power_class(identity_relation))))** -> .
% 299.72/300.41  252454[11:Rew:251768.0,252075.1] || well_ordering(universal_class,complement(singleton(complement(power_class(identity_relation)))))* -> equal(singleton(complement(power_class(identity_relation))),identity_relation).
% 299.72/300.41  252455[5:Rew:251768.0,252084.1] ||  -> subclass(singleton(not_subclass_element(u,complement(power_class(identity_relation)))),power_class(identity_relation))* subclass(u,complement(power_class(identity_relation))).
% 299.72/300.41  252123[5:Rew:251768.0,247108.1] || equal(identity_relation,u) -> equal(intersection(power_class(u),intersection(v,complement(power_class(identity_relation)))),identity_relation)**.
% 299.72/300.41  252456[11:Rew:251768.0,252137.1] ||  -> member(regular(regular(complement(power_class(identity_relation)))),power_class(identity_relation))* equal(regular(complement(power_class(identity_relation))),identity_relation).
% 299.72/300.41  252193[5:Rew:251768.0,247783.1] || equal(identity_relation,u) -> equal(intersection(power_class(u),intersection(complement(power_class(identity_relation)),v)),identity_relation)**.
% 299.72/300.41  252210[7:Rew:251758.0,217357.0] || equal(image(element_relation,singleton(identity_relation)),identity_relation) subclass(domain_relation,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  252211[7:Rew:251758.0,217325.0] || equal(image(element_relation,singleton(identity_relation)),identity_relation) member(omega,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  252212[7:Rew:251758.0,217255.0] || equal(image(element_relation,singleton(identity_relation)),identity_relation) subclass(universal_class,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  252214[7:Rew:251758.0,217082.0] || equal(image(element_relation,singleton(identity_relation)),identity_relation) member(identity_relation,image(element_relation,singleton(identity_relation)))* -> .
% 299.72/300.41  252230[5:Rew:251759.0,217359.0] || equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation) subclass(domain_relation,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  252231[5:Rew:251759.0,217327.0] || equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation) member(omega,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  252232[5:Rew:251759.0,217257.0] || equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation) subclass(universal_class,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  252234[5:Rew:251759.0,217084.0] || equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation) member(identity_relation,image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.72/300.41  252280[5:Rew:251760.0,249573.0] || equal(image(element_relation,power_class(u)),identity_relation) member(identity_relation,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  252282[5:Rew:251760.0,249571.0] || equal(image(element_relation,power_class(u)),identity_relation) subclass(universal_class,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  252283[5:Rew:251760.0,249570.0] || equal(image(element_relation,power_class(u)),identity_relation) member(omega,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  252284[5:Rew:251760.0,249569.0] || equal(image(element_relation,power_class(u)),identity_relation) subclass(domain_relation,image(element_relation,power_class(u)))* -> .
% 299.72/300.41  252650[5:SpR:249200.0,228130.0] ||  -> equal(symmetric_difference(intersection(complement(u),power_class(v)),complement(union(u,complement(power_class(v))))),identity_relation)**.
% 299.72/300.41  252672[7:SpR:249200.0,167376.1] ||  -> member(identity_relation,intersection(complement(u),power_class(v)))* member(identity_relation,union(u,complement(power_class(v)))).
% 299.72/300.41  252724[7:SpR:189445.0,249200.0] ||  -> equal(union(complement(singleton(identity_relation)),complement(power_class(u))),complement(intersection(singleton(identity_relation),power_class(u))))**.
% 299.72/300.41  252725[5:SpR:124149.0,249200.0] ||  -> equal(union(complement(inverse(identity_relation)),complement(power_class(u))),complement(intersection(symmetrization_of(identity_relation),power_class(u))))**.
% 299.72/300.41  252980[5:SpR:249208.0,228130.0] ||  -> equal(symmetric_difference(intersection(power_class(u),complement(v)),complement(union(complement(power_class(u)),v))),identity_relation)**.
% 299.72/300.41  253002[7:SpR:249208.0,167376.1] ||  -> member(identity_relation,intersection(power_class(u),complement(v)))* member(identity_relation,union(complement(power_class(u)),v)).
% 299.72/300.41  253050[7:SpR:189445.0,249208.0] ||  -> equal(union(complement(power_class(u)),complement(singleton(identity_relation))),complement(intersection(power_class(u),singleton(identity_relation))))**.
% 299.72/300.41  253051[5:SpR:124149.0,249208.0] ||  -> equal(union(complement(power_class(u)),complement(inverse(identity_relation))),complement(intersection(power_class(u),symmetrization_of(identity_relation))))**.
% 299.72/300.41  253428[0:Res:144714.1,249201.0] || equal(image(element_relation,power_class(u)),universal_class) member(omega,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  253478[14:Res:178680.1,249201.0] || equal(image(element_relation,power_class(u)),omega) member(identity_relation,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  253479[14:Res:178018.1,249201.0] || subclass(omega,image(element_relation,power_class(u))) member(identity_relation,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  253481[5:Res:119647.1,249201.0] || equal(image(element_relation,power_class(u)),universal_class) member(identity_relation,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  253482[5:Res:5196.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(identity_relation,power_class(complement(power_class(u))))* -> .
% 299.72/300.41  253557[5:SpL:253274.0,3646.0] || subclass(apply(element_relation,universal_class),complement(power_class(universal_class)))* -> section(element_relation,complement(power_class(universal_class)),universal_class).
% 299.72/300.41  253584[5:SoR:253276.0,4792.2] single_valued_class(element_relation) || equal(cross_product(universal_class,universal_class),element_relation) -> member(complement(power_class(universal_class)),universal_class)*.
% 299.72/300.41  253586[0:SpR:252726.0,8243.0] ||  -> subclass(symmetric_difference(complement(power_class(u)),complement(power_class(v))),complement(intersection(power_class(u),power_class(v))))*.
% 299.72/300.41  253664[5:SpR:251227.0,145868.1] || subclass(symmetric_difference(universal_class,power_class(u)),power_class(u))* -> equal(symmetric_difference(universal_class,power_class(u)),identity_relation).
% 299.72/300.41  253849[5:Rew:251228.0,253821.1] || member(not_subclass_element(power_class(u),identity_relation),symmetric_difference(universal_class,power_class(u)))* -> subclass(power_class(u),identity_relation).
% 299.72/300.41  253893[17:MRR:253880.0,176.0] || equal(compose(u,singleton(identity_relation)),identity_relation) -> member(singleton(singleton(singleton(identity_relation))),compose_class(u))*.
% 299.72/300.41  253928[11:Res:252939.1,3924.0] || equal(identity_relation,u) subclass(complement(power_class(u)),v)* well_ordering(universal_class,v) -> .
% 299.72/300.41  253961[5:Res:253376.1,8.0] || equal(power_class(u),identity_relation) subclass(v,power_class(u))* -> equal(v,power_class(u)).
% 299.72/300.41  254009[5:SpR:118446.0,31909.2] || asymmetric(universal_class,u) equal(compose(identity_relation,identity_relation),identity_relation) -> transitive(inverse(universal_class),u)*.
% 299.72/300.41  254027[7:SpR:251758.0,8614.0] ||  -> subclass(symmetric_difference(image(element_relation,singleton(identity_relation)),complement(u)),union(power_class(complement(singleton(identity_relation))),u))*.
% 299.72/300.41  254076[7:SpR:251758.0,237599.0] ||  -> equal(intersection(image(element_relation,singleton(identity_relation)),restrict(power_class(complement(singleton(identity_relation))),u,v)),identity_relation)**.
% 299.72/300.41  254077[7:SpR:251758.0,239026.0] ||  -> equal(intersection(restrict(power_class(complement(singleton(identity_relation))),u,v),image(element_relation,singleton(identity_relation))),identity_relation)**.
% 299.72/300.41  254082[7:SpR:251758.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),image(element_relation,singleton(identity_relation))),union(u,power_class(complement(singleton(identity_relation)))))*.
% 299.72/300.41  254108[7:SpL:251758.0,5195.0] || subclass(universal_class,image(element_relation,singleton(identity_relation))) member(identity_relation,power_class(complement(singleton(identity_relation))))* -> .
% 299.72/300.41  254159[14:SpL:251758.0,178030.0] || subclass(omega,image(element_relation,singleton(identity_relation))) member(identity_relation,power_class(complement(singleton(identity_relation))))* -> .
% 299.72/300.41  254164[15:SpL:251758.0,199274.0] || well_ordering(universal_class,image(element_relation,singleton(identity_relation))) -> member(singleton(identity_relation),power_class(complement(singleton(identity_relation))))*.
% 299.72/300.41  254169[7:SpL:251758.0,189304.1] inductive(power_class(complement(singleton(identity_relation)))) || equal(image(element_relation,singleton(identity_relation)),singleton(identity_relation))** -> .
% 299.72/300.41  254178[7:SpL:251758.0,206410.0] || subclass(image(element_relation,singleton(identity_relation)),identity_relation) well_ordering(universal_class,power_class(complement(singleton(identity_relation))))* -> .
% 299.72/300.41  254243[7:Rew:251758.0,254127.0] || equal(image(element_relation,singleton(identity_relation)),identity_relation) equal(image(element_relation,singleton(identity_relation)),domain_relation)** -> .
% 299.72/300.41  254284[5:SpR:251759.0,8614.0] ||  -> subclass(symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(u)),union(power_class(complement(inverse(identity_relation))),u))*.
% 299.72/300.41  254333[5:SpR:251759.0,237599.0] ||  -> equal(intersection(image(element_relation,symmetrization_of(identity_relation)),restrict(power_class(complement(inverse(identity_relation))),u,v)),identity_relation)**.
% 299.72/300.41  254334[5:SpR:251759.0,239026.0] ||  -> equal(intersection(restrict(power_class(complement(inverse(identity_relation))),u,v),image(element_relation,symmetrization_of(identity_relation))),identity_relation)**.
% 299.72/300.41  254339[5:SpR:251759.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),image(element_relation,symmetrization_of(identity_relation))),union(u,power_class(complement(inverse(identity_relation)))))*.
% 299.72/300.41  254364[5:SpL:251759.0,5195.0] || subclass(universal_class,image(element_relation,symmetrization_of(identity_relation))) member(identity_relation,power_class(complement(inverse(identity_relation))))* -> .
% 299.72/300.41  254415[14:SpL:251759.0,178030.0] || subclass(omega,image(element_relation,symmetrization_of(identity_relation))) member(identity_relation,power_class(complement(inverse(identity_relation))))* -> .
% 299.72/300.41  254420[15:SpL:251759.0,199274.0] || well_ordering(universal_class,image(element_relation,symmetrization_of(identity_relation))) -> member(singleton(identity_relation),power_class(complement(inverse(identity_relation))))*.
% 299.72/300.41  254425[7:SpL:251759.0,189304.1] inductive(power_class(complement(inverse(identity_relation)))) || equal(image(element_relation,symmetrization_of(identity_relation)),singleton(identity_relation))** -> .
% 299.72/300.41  254434[5:SpL:251759.0,206410.0] || subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation) well_ordering(universal_class,power_class(complement(inverse(identity_relation))))* -> .
% 299.72/300.41  254499[5:Rew:251759.0,254383.0] || equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation) equal(image(element_relation,symmetrization_of(identity_relation)),domain_relation)** -> .
% 299.72/300.41  254544[5:SpL:118446.0,38768.1] || asymmetric(universal_class,u) transitive(inverse(universal_class),u)* -> equal(compose(identity_relation,identity_relation),identity_relation).
% 299.72/300.41  254745[15:MRR:254724.0,176.0] || well_ordering(universal_class,image(element_relation,power_class(u))) -> member(singleton(identity_relation),power_class(complement(power_class(u))))*.
% 299.72/300.41  255098[0:Res:5172.1,20559.1] || subclass(universal_class,symmetric_difference(u,v)) subclass(universal_class,intersection(complement(u),complement(v)))* -> .
% 299.72/300.41  255309[0:Res:12.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(unordered_pair(w,x)),v)*.
% 299.72/300.41  255344[0:Res:641.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(ordered_pair(w,x)),v)*.
% 299.72/300.41  255376[20:Res:212353.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(regular(symmetrization_of(identity_relation))),v)*.
% 299.72/300.41  255400[4:Res:212362.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(least(element_relation,omega)),v)*.
% 299.72/300.41  255522[5:Rew:233410.0,255520.0] ||  -> equal(cross_product(u,identity_relation),identity_relation) equal(segment(regular(cross_product(u,identity_relation)),u,universal_class),identity_relation)**.
% 299.72/300.41  255805[16:Res:5288.2,255735.0] || subclass(omega,symmetric_difference(universal_class,range_of(identity_relation)))* -> equal(integer_of(regular(successor(range_of(identity_relation)))),identity_relation).
% 299.72/300.41  255813[16:Res:26.2,255803.0] || member(regular(successor(range_of(identity_relation))),universal_class) -> member(regular(successor(range_of(identity_relation))),range_of(identity_relation))*.
% 299.72/300.41  256003[5:Obv:255981.1] ||  -> equal(integer_of(u),identity_relation) subclass(unordered_pair(v,u),omega) member(v,unordered_pair(v,u))*.
% 299.72/300.41  256004[17:Obv:255995.2] || equal(rest_of(u),rest_relation) -> equal(integer_of(v),identity_relation) subclass(unordered_pair(u,v),omega)*.
% 299.72/300.41  256194[20:MRR:256162.2,212333.0] || subclass(inverse(identity_relation),u) subclass(symmetrization_of(identity_relation),regular(u))* -> equal(u,identity_relation).
% 299.72/300.41  256200[11:MRR:256151.2,203685.0] || subclass(universal_class,u) subclass(complement(power_class(identity_relation)),regular(u))* -> equal(u,identity_relation).
% 299.72/300.41  256201[10:MRR:256153.2,203686.0] || subclass(universal_class,u) subclass(complement(power_class(universal_class)),regular(u))* -> equal(u,identity_relation).
% 299.72/300.41  256204[9:MRR:256157.2,203684.0] || subclass(universal_class,u) subclass(complement(symmetrization_of(identity_relation)),regular(u))* -> equal(u,identity_relation).
% 299.72/300.41  256231[5:MRR:256230.2,207038.0] || subclass(symmetric_difference(u,v),regular(union(u,v)))* -> equal(symmetric_difference(u,v),identity_relation).
% 299.72/300.41  256288[5:Obv:256265.1] ||  -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega) member(v,unordered_pair(u,v))*.
% 299.72/300.41  256289[17:Obv:256280.2] || equal(rest_of(u),rest_relation) -> equal(integer_of(v),identity_relation) subclass(unordered_pair(v,u),omega)*.
% 299.72/300.41  256527[0:Res:12.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(unordered_pair(w,x)),v)*.
% 299.72/300.41  256562[0:Res:641.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(ordered_pair(w,x)),v)*.
% 299.72/300.41  256594[20:Res:212353.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(regular(symmetrization_of(identity_relation))),v)*.
% 299.72/300.41  256618[4:Res:212362.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(least(element_relation,omega)),v)*.
% 299.72/300.41  256657[5:Res:153612.1,3675.0] || equal(complement(apply(u,v)),universal_class) -> section(element_relation,image(u,singleton(v)),universal_class)*.
% 299.72/300.41  257281[5:MRR:257280.0,29469.1] || member(u,complement(intersection(v,universal_class)))* member(u,complement(symmetric_difference(v,universal_class))) -> .
% 299.72/300.41  257283[15:MRR:257282.0,29469.1] || member(u,complement(sum_class(range_of(identity_relation))))* member(u,successor(sum_class(range_of(identity_relation)))) -> .
% 299.72/300.41  257354[5:SpR:257295.1,123943.1] inductive(least(u,omega)) || well_ordering(u,universal_class) -> equal(least(u,omega),identity_relation)**.
% 299.72/300.41  257407[17:MRR:257400.3,47782.0] || equal(ordered_pair(u,identity_relation),omega)** member(u,universal_class) subclass(domain_relation,omega) -> .
% 299.72/300.41  257414[17:SpR:47789.0,195298.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(domain_of(regular(ordered_pair(u,v))),identity_relation)**.
% 299.72/300.41  257415[17:SpR:47789.0,195820.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(cantor(regular(ordered_pair(u,v))),identity_relation)**.
% 299.72/300.41  257463[5:SpL:47789.0,201819.0] || subclass(regular(ordered_pair(u,v)),identity_relation)* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.72/300.41  257464[5:SpL:47789.0,202179.0] || equal(regular(ordered_pair(u,v)),identity_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.72/300.41  257469[15:SpL:47789.0,191810.0] || well_ordering(universal_class,regular(ordered_pair(u,identity_relation)))* -> equal(regular(ordered_pair(u,identity_relation)),singleton(u)).
% 299.72/300.41  257532[5:MRR:257427.0,176.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) member(singleton(v),regular(ordered_pair(u,v)))*.
% 299.72/300.41  257583[5:SpR:257304.1,226.1] || equal(not_subclass_element(omega,u),universal_class)** -> subclass(omega,u) equal(not_subclass_element(omega,u),identity_relation).
% 299.72/300.41  257859[5:Res:66.2,257663.1] function(u) || member(v,universal_class) equal(power_class(image(u,v)),universal_class)** -> .
% 299.72/300.41  257947[5:MRR:257900.1,5.0] || member(u,universal_class) equal(power_class(apply(choice,u)),universal_class)** -> equal(u,identity_relation).
% 299.72/300.41  258085[17:Rew:118446.0,258029.2] function(least(u,intersection(universal_class,v))) || well_ordering(u,universal_class)* -> equal(v,identity_relation)*.
% 299.72/300.41  258096[5:Rew:118446.0,258022.2,118446.0,258022.1] || well_ordering(u,universal_class) equal(power_class(least(u,v)),universal_class)** -> equal(v,identity_relation).
% 299.72/300.41  258097[5:Rew:118446.0,258030.2,118446.0,258030.1] || well_ordering(u,universal_class) equal(singleton(least(u,v)),identity_relation)** -> equal(v,identity_relation).
% 299.72/300.41  258098[17:Rew:118446.0,258032.2,118446.0,258032.1] || well_ordering(u,universal_class) equal(rest_of(least(u,v)),rest_relation)** -> equal(v,identity_relation).
% 299.72/300.41  258101[5:MRR:258100.2,5240.0] || equal(complement(u),identity_relation) well_ordering(v,universal_class) -> member(least(v,universal_class),u)*.
% 299.72/300.41  258424[5:Res:66.2,257674.1] function(u) || member(v,universal_class) equal(sum_class(image(u,v)),universal_class)** -> .
% 299.72/300.41  258522[5:MRR:258465.1,5.0] || member(u,universal_class) equal(sum_class(apply(choice,u)),universal_class)** -> equal(u,identity_relation).
% 299.72/300.41  258523[5:Rew:118446.0,258504.2,118446.0,258504.1] || well_ordering(u,universal_class) equal(sum_class(least(u,v)),universal_class)** -> equal(v,identity_relation).
% 299.72/300.41  258536[0:SpL:118446.0,8164.1] || member(u,symmetric_difference(universal_class,v))* subclass(complement(v),w)* -> member(u,w)*.
% 299.72/300.41  258824[5:Obv:258817.2] || equal(u,v) equal(power_class(v),universal_class) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.72/300.41  258928[5:Obv:258920.2] || equal(u,v) equal(sum_class(v),universal_class) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.72/300.41  259134[5:Res:256424.0,610.0] ||  -> equal(singleton(complement(cantor(inverse(u)))),identity_relation) member(complement(cantor(inverse(u))),range_of(u))*.
% 299.72/300.41  259209[5:SpL:200704.1,256435.0] || equal(u,universal_class) subclass(ordered_pair(v,u),unordered_pair(v,identity_relation))* -> inductive(u).
% 299.72/300.41  259351[0:Res:30856.1,22.0] || member(u,union(v,w)) -> member(u,symmetric_difference(v,w))* member(u,v).
% 299.72/300.41  259352[0:Res:30856.1,23.0] || member(u,union(v,w)) -> member(u,symmetric_difference(v,w))* member(u,w).
% 299.72/300.41  259573[5:SpL:200704.1,259229.0] || equal(u,universal_class) equal(unordered_pair(v,identity_relation),ordered_pair(v,u))* -> inductive(u).
% 299.72/300.41  259673[0:Obv:259640.1] || member(u,v) -> subclass(unordered_pair(w,u),v)* member(w,unordered_pair(w,u))*.
% 299.72/300.41  259674[17:Obv:259659.2] || member(u,v) equal(rest_of(w),rest_relation) -> subclass(unordered_pair(w,u),v)*.
% 299.72/300.41  259677[0:Obv:259646.1] || member(u,complement(v)) -> member(w,v) subclass(unordered_pair(w,u),complement(v))*.
% 299.72/300.41  259783[0:Obv:259749.1] || member(u,v) -> subclass(unordered_pair(u,w),v)* member(w,unordered_pair(u,w))*.
% 299.72/300.41  259784[17:Obv:259769.2] || member(u,v) equal(rest_of(w),rest_relation) -> subclass(unordered_pair(u,w),v)*.
% 299.72/300.41  259787[0:Obv:259755.1] || member(u,complement(v)) -> member(w,v) subclass(unordered_pair(u,w),complement(v))*.
% 299.72/300.41  259980[11:SpL:203228.1,226840.0] || equal(identity_relation,u) equal(complement(intersection(union(v,w),power_class(u))),identity_relation)** -> .
% 299.72/300.41  260036[0:Res:99.0,8430.0] || subclass(cross_product(universal_class,universal_class),u) -> subclass(domain_relation,v) member(not_subclass_element(domain_relation,v),u)*.
% 299.72/300.41  260040[0:Res:145.0,8430.0] || subclass(cross_product(universal_class,universal_class),u) -> subclass(rest_relation,v) member(not_subclass_element(rest_relation,v),u)*.
% 299.72/300.41  260042[0:Res:45.0,8430.0] || subclass(cross_product(universal_class,universal_class),u) -> subclass(successor_relation,v) member(not_subclass_element(successor_relation,v),u)*.
% 299.72/300.41  260043[0:Res:19.0,8430.0] || subclass(cross_product(universal_class,universal_class),u) -> subclass(element_relation,v) member(not_subclass_element(element_relation,v),u)*.
% 299.72/300.41  260547[0:Res:260367.1,729.1] inductive(intersection(u,v)) || subclass(v,omega) -> equal(intersection(u,v),omega)**.
% 299.72/300.41  260731[5:Res:260493.1,113727.0] || subclass(universal_class,complement(singleton(regular(symmetric_difference(universal_class,u)))))* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.72/300.41  261147[0:Res:260940.0,729.1] inductive(intersection(u,intersection(v,omega))) ||  -> equal(intersection(u,intersection(v,omega)),omega)**.
% 299.72/300.41  261717[0:Res:261510.0,729.1] inductive(intersection(u,intersection(omega,v))) ||  -> equal(intersection(u,intersection(omega,v)),omega)**.
% 299.72/300.41  262116[0:SpR:249200.0,261657.0] ||  -> subclass(intersection(u,complement(union(v,complement(power_class(w))))),intersection(complement(v),power_class(w)))*.
% 299.72/300.41  262117[0:SpR:249208.0,261657.0] ||  -> subclass(intersection(u,complement(union(complement(power_class(v)),w))),intersection(power_class(v),complement(w)))*.
% 299.72/300.41  262164[0:Res:261657.0,729.1] inductive(intersection(u,complement(complement(omega)))) ||  -> equal(intersection(u,complement(complement(omega))),omega)**.
% 299.72/300.41  262623[0:Res:262411.0,729.1] inductive(intersection(intersection(u,omega),v)) ||  -> equal(intersection(intersection(u,omega),v),omega)**.
% 299.72/300.41  262810[0:Res:262607.0,729.1] inductive(complement(complement(intersection(u,omega)))) ||  -> equal(complement(complement(intersection(u,omega))),omega)**.
% 299.72/300.41  263217[0:SpR:249200.0,262795.0] ||  -> subclass(complement(union(u,intersection(complement(v),power_class(w)))),union(v,complement(power_class(w))))*.
% 299.72/300.41  263218[0:SpR:249208.0,262795.0] ||  -> subclass(complement(union(u,intersection(power_class(v),complement(w)))),union(complement(power_class(v)),w))*.
% 299.72/300.41  263466[0:Res:263102.0,729.1] inductive(intersection(intersection(omega,u),v)) ||  -> equal(intersection(intersection(omega,u),v),omega)**.
% 299.72/300.41  263703[0:SpR:249200.0,263405.0] ||  -> subclass(intersection(complement(union(u,complement(power_class(v)))),w),intersection(complement(u),power_class(v)))*.
% 299.72/300.41  263704[0:SpR:249208.0,263405.0] ||  -> subclass(intersection(complement(union(complement(power_class(u)),v)),w),intersection(power_class(u),complement(v)))*.
% 299.72/300.41  263755[0:Res:263405.0,729.1] inductive(intersection(complement(complement(omega)),u)) ||  -> equal(intersection(complement(complement(omega)),u),omega)**.
% 299.72/300.41  263818[5:SpR:122708.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,union(symmetric_difference(universal_class,u),v)),intersection(union(u,identity_relation),complement(v)))*.
% 299.72/300.41  263819[5:SpR:122711.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,union(u,symmetric_difference(universal_class,v))),intersection(complement(u),union(v,identity_relation)))*.
% 299.72/300.41  263827[5:SpR:579.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,power_class(intersection(complement(u),complement(v)))),image(element_relation,union(u,v)))*.
% 299.72/300.41  263903[0:SpR:249200.0,263745.0] ||  -> subclass(complement(complement(complement(union(u,complement(power_class(v)))))),intersection(complement(u),power_class(v)))*.
% 299.72/300.41  263904[0:SpR:249208.0,263745.0] ||  -> subclass(complement(complement(complement(union(complement(power_class(u)),v)))),intersection(power_class(u),complement(v)))*.
% 299.72/300.41  263935[0:Res:263745.0,729.1] inductive(complement(complement(complement(complement(omega))))) ||  -> equal(complement(complement(complement(complement(omega)))),omega)**.
% 299.72/300.41  264104[0:Res:263450.0,729.1] inductive(complement(complement(intersection(omega,u)))) ||  -> equal(complement(complement(intersection(omega,u))),omega)**.
% 299.72/300.41  264277[0:SpR:249200.0,264089.0] ||  -> subclass(complement(union(intersection(complement(u),power_class(v)),w)),union(u,complement(power_class(v))))*.
% 299.72/300.41  264278[0:SpR:249208.0,264089.0] ||  -> subclass(complement(union(intersection(power_class(u),complement(v)),w)),union(complement(power_class(u)),v))*.
% 299.72/300.41  264360[5:SpR:122708.0,264292.0] ||  -> subclass(complement(successor(intersection(union(u,identity_relation),complement(v)))),union(symmetric_difference(universal_class,u),v))*.
% 299.72/300.41  264361[5:SpR:122711.0,264292.0] ||  -> subclass(complement(successor(intersection(complement(u),union(v,identity_relation)))),union(u,symmetric_difference(universal_class,v)))*.
% 299.72/300.41  264369[0:SpR:579.0,264292.0] ||  -> subclass(complement(successor(image(element_relation,union(u,v)))),power_class(intersection(complement(u),complement(v))))*.
% 299.72/300.41  264414[5:SpR:122708.0,264294.0] ||  -> subclass(complement(symmetrization_of(intersection(union(u,identity_relation),complement(v)))),union(symmetric_difference(universal_class,u),v))*.
% 299.72/300.41  264415[5:SpR:122711.0,264294.0] ||  -> subclass(complement(symmetrization_of(intersection(complement(u),union(v,identity_relation)))),union(u,symmetric_difference(universal_class,v)))*.
% 299.72/300.41  264423[0:SpR:579.0,264294.0] ||  -> subclass(complement(symmetrization_of(image(element_relation,union(u,v)))),power_class(intersection(complement(u),complement(v))))*.
% 299.72/300.41  264509[7:Res:264355.0,773.1] || member(u,universal_class) -> member(u,successor(complement(singleton(identity_relation))))* member(u,singleton(identity_relation)).
% 299.72/300.41  264535[5:Res:264356.0,773.1] || member(u,universal_class) -> member(u,successor(complement(inverse(identity_relation))))* member(u,symmetrization_of(identity_relation)).
% 299.72/300.41  264560[7:Res:264409.0,773.1] || member(u,universal_class) -> member(u,symmetrization_of(complement(singleton(identity_relation))))* member(u,singleton(identity_relation)).
% 299.72/300.41  264590[5:Res:264410.0,773.1] || member(u,universal_class) -> member(u,symmetrization_of(complement(inverse(identity_relation))))* member(u,symmetrization_of(identity_relation)).
% 299.72/300.41  264630[0:SpR:8659.0,264357.0] ||  -> subclass(complement(successor(complement(complement(image(element_relation,symmetrization_of(u)))))),complement(image(element_relation,symmetrization_of(u))))*.
% 299.72/300.41  264631[0:SpR:8660.0,264357.0] ||  -> subclass(complement(successor(complement(complement(image(element_relation,successor(u)))))),complement(image(element_relation,successor(u))))*.
% 299.72/300.41  264653[0:Res:264357.0,773.1] || member(u,universal_class) -> member(u,successor(complement(power_class(v))))* member(u,power_class(v)).
% 299.72/300.41  264661[0:SpR:8659.0,264411.0] ||  -> subclass(complement(symmetrization_of(complement(complement(image(element_relation,symmetrization_of(u)))))),complement(image(element_relation,symmetrization_of(u))))*.
% 299.72/300.41  264662[0:SpR:8660.0,264411.0] ||  -> subclass(complement(symmetrization_of(complement(complement(image(element_relation,successor(u)))))),complement(image(element_relation,successor(u))))*.
% 299.72/300.41  264685[0:Res:264411.0,773.1] || member(u,universal_class) -> member(u,symmetrization_of(complement(power_class(v))))* member(u,power_class(v)).
% 299.72/300.41  264936[5:Res:263560.1,5321.0] || equal(complement(intersection(u,v)),identity_relation)** -> equal(w,identity_relation) member(regular(w),u)*.
% 299.72/300.41  264937[5:Res:263560.1,5320.0] || equal(complement(intersection(u,v)),identity_relation)** -> equal(w,identity_relation) member(regular(w),v)*.
% 299.72/300.41  265126[5:Res:263560.1,28696.0] || equal(complement(u),identity_relation) well_ordering(v,u)* -> member(least(v,rest_relation),rest_relation)*.
% 299.72/300.41  265225[5:Res:263560.1,719.0] || equal(complement(compose(u,v)),identity_relation)** -> equal(compose(u,v),cross_product(universal_class,universal_class)).
% 299.85/300.41  265229[5:Res:263560.1,724.0] || equal(complement(flip(u)),identity_relation)** -> equal(cross_product(cross_product(universal_class,universal_class),universal_class),flip(u))*.
% 299.85/300.41  265230[5:Res:263560.1,725.0] || equal(complement(rotate(u)),identity_relation)** -> equal(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(u))*.
% 299.85/300.41  265278[5:Res:263560.1,5360.0] || equal(complement(complement(u)),identity_relation)** member(v,u)* -> equal(integer_of(v),identity_relation).
% 299.85/300.41  265288[5:Res:263560.1,5467.0] || equal(complement(intersection(u,v)),identity_relation)** -> equal(integer_of(w),identity_relation) member(w,u)*.
% 299.85/300.41  265289[5:Res:263560.1,5466.0] || equal(complement(intersection(u,v)),identity_relation)** -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.41  265450[5:Rew:265260.1,233933.2] || equal(complement(u),identity_relation) member(u,universal_class)* -> member(singleton(singleton(identity_relation)),element_relation)*.
% 299.85/300.41  265657[20:Res:265633.0,200936.1] || equal(regular(complement(complement(symmetrization_of(identity_relation)))),universal_class) -> inductive(regular(complement(complement(symmetrization_of(identity_relation)))))*.
% 299.85/300.41  266004[0:Res:262737.0,773.1] || member(u,universal_class) -> member(u,complement(restrict(v,w,x)))* member(u,v).
% 299.85/300.41  266337[0:SpR:939.0,261700.0] ||  -> subclass(restrict(symmetric_difference(cross_product(u,v),w),x,y),complement(restrict(w,u,v)))*.
% 299.85/300.41  266338[0:SpR:938.0,261700.0] ||  -> subclass(restrict(symmetric_difference(u,cross_product(v,w)),x,y),complement(restrict(u,v,w)))*.
% 299.85/300.41  266998[5:MRR:266997.3,228974.0] || member(u,universal_class) subclass(universal_class,regular(complement(v)))* -> member(sum_class(u),v)*.
% 299.85/300.41  267117[5:MRR:267072.1,5265.0] || equal(complement(complement(u)),universal_class) subclass(universal_class,regular(u))* -> equal(u,identity_relation).
% 299.85/300.41  267135[5:MRR:267134.3,226739.0] || member(u,universal_class) subclass(universal_class,regular(complement(v)))* -> member(power_class(u),v)*.
% 299.85/300.41  267646[5:Res:267563.0,773.1] || member(u,universal_class) -> member(u,successor(complement(inverse(identity_relation))))* member(u,inverse(identity_relation)).
% 299.85/300.41  267662[5:Res:267564.0,773.1] || member(u,universal_class) -> member(u,symmetrization_of(complement(inverse(identity_relation))))* member(u,inverse(identity_relation)).
% 299.85/300.41  267703[9:MRR:266863.1,267702.0] || subclass(complement(inverse(identity_relation)),u) -> member(regular(complement(complement(complement(symmetrization_of(identity_relation))))),u)*.
% 299.85/300.41  267723[0:Res:3780.1,2159.0] || equal(complement(complement(composition_function)),universal_class) -> equal(compose(singleton(ordered_pair(u,v)),u),v)**.
% 299.85/300.41  268374[5:SpL:27.0,264001.0] || equal(complement(union(u,v)),universal_class) -> subclass(universal_class,intersection(complement(u),complement(v)))*.
% 299.85/300.41  268471[5:SpR:27.0,264384.1] || equal(successor(intersection(complement(u),complement(v))),identity_relation)** -> subclass(universal_class,union(u,v)).
% 299.85/300.41  268480[7:SpR:189471.0,264384.1] || equal(successor(image(element_relation,singleton(identity_relation))),identity_relation) -> subclass(universal_class,power_class(complement(singleton(identity_relation))))*.
% 299.85/300.41  268482[5:SpR:122494.0,264384.1] || equal(successor(image(element_relation,symmetrization_of(identity_relation))),identity_relation) -> subclass(universal_class,power_class(complement(inverse(identity_relation))))*.
% 299.85/300.41  268483[5:SpR:249206.0,264384.1] || equal(successor(image(element_relation,power_class(u))),identity_relation) -> subclass(universal_class,power_class(complement(power_class(u))))*.
% 299.85/300.41  268485[7:SpR:251758.0,264384.1] || equal(successor(power_class(complement(singleton(identity_relation)))),identity_relation) -> subclass(universal_class,image(element_relation,singleton(identity_relation)))*.
% 299.85/300.41  268486[5:SpR:251759.0,264384.1] || equal(successor(power_class(complement(inverse(identity_relation)))),identity_relation) -> subclass(universal_class,image(element_relation,symmetrization_of(identity_relation)))*.
% 299.85/300.41  268837[5:SpL:2089.1,268520.0] || equal(successor(not_subclass_element(cross_product(u,v),w)),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.41  268931[5:Obv:268877.1] || member(u,v) -> equal(intersection(singleton(u),regular(v)),identity_relation)** equal(v,identity_relation).
% 299.85/300.41  268974[5:SpL:5338.1,268510.0] || equal(successor(singleton(regular(cross_product(u,v)))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.41  269109[5:Obv:269054.1] || member(u,v) -> equal(intersection(regular(v),singleton(u)),identity_relation)** equal(v,identity_relation).
% 299.85/300.41  269363[5:SpR:27.0,264434.1] || equal(symmetrization_of(intersection(complement(u),complement(v))),identity_relation)** -> subclass(universal_class,union(u,v)).
% 299.85/300.41  269372[7:SpR:189471.0,264434.1] || equal(symmetrization_of(image(element_relation,singleton(identity_relation))),identity_relation) -> subclass(universal_class,power_class(complement(singleton(identity_relation))))*.
% 299.85/300.41  269374[5:SpR:122494.0,264434.1] || equal(symmetrization_of(image(element_relation,symmetrization_of(identity_relation))),identity_relation) -> subclass(universal_class,power_class(complement(inverse(identity_relation))))*.
% 299.85/300.41  269375[5:SpR:249206.0,264434.1] || equal(symmetrization_of(image(element_relation,power_class(u))),identity_relation) -> subclass(universal_class,power_class(complement(power_class(u))))*.
% 299.85/300.41  269377[7:SpR:251758.0,264434.1] || equal(symmetrization_of(power_class(complement(singleton(identity_relation)))),identity_relation) -> subclass(universal_class,image(element_relation,singleton(identity_relation)))*.
% 299.85/300.41  269378[5:SpR:251759.0,264434.1] || equal(symmetrization_of(power_class(complement(inverse(identity_relation)))),identity_relation) -> subclass(universal_class,image(element_relation,symmetrization_of(identity_relation)))*.
% 299.85/300.41  269815[5:SpL:2089.1,269412.0] || equal(symmetrization_of(not_subclass_element(cross_product(u,v),w)),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.41  269850[5:SpL:5338.1,269402.0] || equal(symmetrization_of(singleton(regular(cross_product(u,v)))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.41  269857[17:Res:176.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(singleton(w),identity_relation),v)*.
% 299.85/300.41  269862[17:Res:205135.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(power_class(identity_relation),identity_relation),v)*.
% 299.85/300.41  270108[5:SpR:251233.0,237985.0] ||  -> equal(intersection(complement(union(complement(power_class(u)),v)),symmetric_difference(power_class(u),complement(v))),identity_relation)**.
% 299.85/300.41  270116[5:SpR:251233.0,239572.0] ||  -> equal(intersection(symmetric_difference(power_class(u),complement(v)),complement(union(complement(power_class(u)),v))),identity_relation)**.
% 299.85/300.41  270118[0:SpR:251233.0,261700.0] ||  -> subclass(restrict(symmetric_difference(power_class(u),complement(v)),w,x),union(complement(power_class(u)),v))*.
% 299.85/300.41  270714[5:Rew:22454.0,270574.1,5304.0,270574.1] || subclass(complement(power_class(u)),identity_relation) -> equal(union(intersection(power_class(u),universal_class),v),universal_class)**.
% 299.85/300.41  270814[5:Obv:270807.2] || equal(u,v) equal(complement(v),identity_relation) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.85/300.41  270877[5:SpL:27.0,265197.0] || equal(complement(union(u,v)),identity_relation) -> equal(intersection(complement(u),complement(v)),identity_relation)**.
% 299.85/300.41  40240[0:Res:17.2,1025.1] || member(u,v)* member(w,x)* subclass(universal_class,complement(cross_product(x,v)))* -> .
% 299.85/300.41  8286[0:Res:8243.0,8.0] || subclass(union(u,v),symmetric_difference(u,v))* -> equal(symmetric_difference(u,v),union(u,v)).
% 299.85/300.41  8420[0:Res:8279.0,8.0] || subclass(successor(u),symmetric_difference(u,singleton(u)))* -> equal(symmetric_difference(u,singleton(u)),successor(u)).
% 299.85/300.41  116820[0:Res:779.1,8157.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v))) -> member(ordered_pair(w,x),union(u,v))*.
% 299.85/300.41  120694[0:SpR:119609.0,119.1] || transitive(universal_class,u) -> subclass(compose(cross_product(u,u),cross_product(u,u)),cross_product(u,u))*.
% 299.85/300.41  120707[0:SpL:119609.0,120.0] || subclass(compose(cross_product(u,u),cross_product(u,u)),cross_product(u,u))* -> transitive(universal_class,u).
% 299.85/300.41  120709[0:SpL:119609.0,3834.0] || equal(compose(cross_product(u,u),cross_product(u,u)),cross_product(u,u))** -> transitive(universal_class,u).
% 299.85/300.41  16291[5:Res:6971.1,2.0] || member(cross_product(universal_class,universal_class),universal_class) subclass(domain_relation,u) -> member(least(element_relation,domain_relation),u)*.
% 299.85/300.41  34975[5:Res:29601.1,2.0] || member(cross_product(universal_class,universal_class),universal_class) subclass(universal_class,u) -> member(least(element_relation,domain_relation),u)*.
% 299.85/300.41  8159[0:Res:943.1,816.1] || member(singleton(u),symmetric_difference(v,w))* subclass(universal_class,complement(complement(intersection(v,w))))* -> .
% 299.85/300.41  20892[0:SpR:580.0,8243.0] ||  -> subclass(symmetric_difference(intersection(complement(u),complement(v)),w),complement(intersection(union(u,v),complement(w))))*.
% 299.85/300.41  20945[0:SpR:581.0,8243.0] ||  -> subclass(symmetric_difference(u,intersection(complement(v),complement(w))),complement(intersection(complement(u),union(v,w))))*.
% 299.85/300.41  3779[0:SpL:27.0,3634.0] || subclass(universal_class,complement(union(u,v))) -> member(singleton(w),intersection(complement(u),complement(v)))*.
% 299.85/300.41  20558[0:Res:763.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v)))* member(singleton(w),union(u,v))* -> .
% 299.85/300.41  80814[0:Res:45819.1,771.1] || subclass(unordered_pair(u,v),cantor(w))* member(u,universal_class) -> member(u,domain_of(w)).
% 299.85/300.41  81125[0:Res:45819.1,770.1] || subclass(unordered_pair(u,v),cantor(w))* member(v,universal_class) -> member(v,domain_of(w)).
% 299.85/300.41  32863[0:Obv:32854.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),w),v)** subclass(unordered_pair(u,v),w) member(u,universal_class).
% 299.85/300.41  32864[0:Obv:32847.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),w),u)** subclass(unordered_pair(u,v),w) member(v,universal_class).
% 299.85/300.41  117533[5:Res:117277.0,1002.1] || subclass(universal_class,complement(inverse(singleton(unordered_pair(u,v)))))* -> asymmetric(singleton(unordered_pair(u,v)),w)*.
% 299.85/300.41  47754[0:Res:783.1,596.0] || subclass(ordered_pair(u,v),restrict(w,x,y))* -> member(unordered_pair(u,singleton(v)),w).
% 299.85/300.41  40938[0:SpL:941.0,1003.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v))) -> member(unordered_pair(w,x),union(u,v))*.
% 299.85/300.41  47658[5:Res:29726.0,29473.0] ||  -> subclass(complement(complement(domain_of(u))),v) member(not_subclass_element(complement(complement(domain_of(u))),v),cantor(u))*.
% 299.85/300.41  47649[0:Res:29726.0,25.1] || member(not_subclass_element(complement(complement(complement(u))),v),u)* -> subclass(complement(complement(complement(u))),v).
% 299.85/300.41  47889[0:Res:3.1,8165.1] || member(not_subclass_element(intersection(u,v),w),symmetric_difference(u,v))* -> subclass(intersection(u,v),w).
% 299.85/300.41  32913[5:Res:356.1,29473.0] ||  -> subclass(intersection(u,domain_of(v)),w) member(not_subclass_element(intersection(u,domain_of(v)),w),cantor(v))*.
% 299.85/300.41  32894[5:Res:366.1,29473.0] ||  -> subclass(intersection(domain_of(u),v),w) member(not_subclass_element(intersection(domain_of(u),v),w),cantor(u))*.
% 299.85/300.41  40077[0:SpL:2089.1,40069.0] || equal(complement(singleton(not_subclass_element(cross_product(u,v),w))),universal_class)** -> subclass(cross_product(u,v),w).
% 299.85/300.41  40065[0:SpL:2089.1,39996.0] || subclass(universal_class,complement(singleton(not_subclass_element(cross_product(u,v),w))))* -> subclass(cross_product(u,v),w).
% 299.85/300.41  117113[0:MRR:117058.0,29531.1] ||  -> member(not_subclass_element(complement(union(u,v)),w),complement(v))* subclass(complement(union(u,v)),w).
% 299.85/300.41  116726[0:MRR:116679.0,29531.1] ||  -> member(not_subclass_element(complement(union(u,v)),w),complement(u))* subclass(complement(union(u,v)),w).
% 299.85/300.41  114787[0:Res:3.1,776.0] || subclass(domain_of(u),v) -> subclass(cantor(u),w) member(not_subclass_element(cantor(u),w),v)*.
% 299.85/300.41  8277[0:Res:8249.0,2957.1] single_valued_class(restrict(cross_product(universal_class,universal_class),u,v)) ||  -> function(restrict(cross_product(universal_class,universal_class),u,v))*.
% 299.85/300.41  8383[0:Res:3780.1,595.0] || equal(complement(complement(restrict(u,v,w))),universal_class)** -> member(singleton(x),cross_product(v,w))*.
% 299.85/300.41  47869[0:SpL:30.0,8165.1] || member(u,symmetric_difference(cross_product(v,w),x))* member(u,restrict(x,v,w)) -> .
% 299.85/300.41  77708[0:SpR:77667.1,123.0] || equal(rest_of(restrict(u,v,singleton(w))),rest_relation)** -> equal(segment(u,v,w),universal_class).
% 299.85/300.41  126702[5:SpR:123.0,122380.0] ||  -> equal(symmetric_difference(universal_class,cantor(restrict(u,v,singleton(w)))),symmetric_difference(segment(u,v,w),universal_class))**.
% 299.85/300.41  126448[0:SpR:79123.1,123.0] || equal(cantor(restrict(u,v,singleton(w))),universal_class)** -> equal(segment(u,v,w),universal_class).
% 299.85/300.41  949[0:SpR:123.0,927.1] || subclass(universal_class,cantor(restrict(u,v,singleton(w))))* -> member(omega,segment(u,v,w)).
% 299.85/300.41  47866[0:SpL:29.0,8165.1] || member(u,symmetric_difference(v,cross_product(w,x)))* member(u,restrict(v,w,x)) -> .
% 299.85/300.41  79024[0:SpR:123.0,45819.1] || subclass(u,cantor(restrict(v,w,singleton(x))))* -> subclass(u,segment(v,w,x)).
% 299.85/300.41  32878[5:SpL:123.0,29473.0] || member(u,segment(v,w,x)) -> member(u,cantor(restrict(v,w,singleton(x))))*.
% 299.85/300.41  45985[0:Res:45825.0,8.0] || subclass(domain_of(u),intersection(v,cantor(u)))* -> equal(intersection(v,cantor(u)),domain_of(u)).
% 299.85/300.41  45896[0:Res:45823.0,8.0] || subclass(domain_of(u),intersection(cantor(u),v))* -> equal(intersection(cantor(u),v),domain_of(u)).
% 299.85/300.41  47986[0:Res:47679.0,8.0] || subclass(domain_of(u),complement(complement(cantor(u))))* -> equal(complement(complement(cantor(u))),domain_of(u)).
% 299.85/300.41  39378[5:Rew:22667.0,39351.0] || equal(intersection(inverse(u),universal_class),domain_relation) subclass(domain_relation,complement(intersection(inverse(u),universal_class)))* -> .
% 299.85/300.41  114884[5:Rew:39.0,114773.1] || member(u,intersection(inverse(v),universal_class))* subclass(inverse(v),w)* -> member(u,w)*.
% 299.85/300.41  120706[0:SpL:119609.0,134.1] || subclass(u,v) subclass(domain_of(cross_product(v,u)),u)* -> section(universal_class,u,v).
% 299.85/300.41  120696[0:SpL:119609.0,3644.0] || equal(domain_of(cross_product(u,v)),v)** subclass(v,u) -> section(universal_class,v,u).
% 299.85/300.41  8415[0:Res:8278.0,8.0] || subclass(symmetrization_of(u),symmetric_difference(u,inverse(u)))* -> equal(symmetric_difference(u,inverse(u)),symmetrization_of(u)).
% 299.85/300.41  145955[5:SpL:123.0,145924.0] || equal(segment(u,v,w),universal_class) -> equal(cantor(restrict(u,v,singleton(w))),universal_class)**.
% 299.85/300.41  146066[5:SpR:146057.0,160.0] ||  -> equal(intersection(complement(cantor(u)),union(domain_of(u),cantor(u))),symmetric_difference(domain_of(u),cantor(u)))**.
% 299.85/300.41  146400[5:SpL:123.0,146240.0] || subclass(universal_class,segment(u,v,w)) -> equal(cantor(restrict(u,v,singleton(w))),universal_class)**.
% 299.85/300.41  146515[5:Res:146436.1,134.1] || equal(inverse(u),universal_class) subclass(inverse(u),v) -> section(w,inverse(u),v)*.
% 299.85/300.41  146524[5:Res:146436.1,720.1] function(inverse(u)) || equal(inverse(u),universal_class) -> equal(cross_product(universal_class,universal_class),inverse(u))*.
% 299.85/300.41  146651[0:SpR:941.0,146022.0] ||  -> equal(intersection(union(u,v),symmetric_difference(complement(u),complement(v))),symmetric_difference(complement(u),complement(v)))**.
% 299.85/300.41  149327[0:Res:119650.1,588.0] || equal(intersection(complement(u),complement(v)),universal_class) member(singleton(w),union(u,v))* -> .
% 299.85/300.41  153062[5:SpL:146648.0,8165.1] || member(u,symmetric_difference(complement(v),symmetric_difference(universal_class,v)))* member(u,symmetric_difference(universal_class,v)) -> .
% 299.85/300.41  153457[0:Res:766.2,119626.0] || subclass(u,symmetric_difference(universal_class,v)) -> subclass(u,w) member(not_subclass_element(u,w),complement(v))*.
% 299.85/300.41  153462[0:Res:764.2,119626.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(universal_class,v)) -> member(power_class(u),complement(v))*.
% 299.85/300.41  153515[0:Res:766.2,119659.0] || subclass(u,symmetric_difference(universal_class,v)) member(not_subclass_element(u,w),v)* -> subclass(u,w).
% 299.85/300.41  153520[0:Res:764.2,119659.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(universal_class,v))* member(power_class(u),v)* -> .
% 299.85/300.41  153623[5:Res:24.2,153534.1] || member(u,v)* member(u,w)* equal(complement(intersection(w,v)),universal_class)** -> .
% 299.85/300.41  153642[5:Res:17.2,153534.1] || member(u,v)* member(w,x)* equal(complement(cross_product(x,v)),universal_class)** -> .
% 299.85/300.41  157166[0:SpL:939.0,791.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(omega,complement(restrict(w,u,v)))*.
% 299.85/300.41  157172[0:SpL:939.0,928.0] || equal(symmetric_difference(cross_product(u,v),w),universal_class) -> member(omega,complement(restrict(w,u,v)))*.
% 299.85/300.41  157253[0:SpL:938.0,791.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(omega,complement(restrict(u,v,w)))*.
% 299.85/300.41  157259[0:SpL:938.0,928.0] || equal(symmetric_difference(u,cross_product(v,w)),universal_class) -> member(omega,complement(restrict(u,v,w)))*.
% 299.85/300.41  160999[0:SpR:120682.0,45832.1] || member(u,cantor(cross_product(v,singleton(w))))* -> subclass(singleton(u),segment(universal_class,v,w)).
% 299.85/300.41  163451[5:Res:162500.1,134.1] || equal(complement(u),universal_class) subclass(complement(u),v) -> section(w,complement(u),v)*.
% 299.85/300.41  163511[5:Res:162500.1,720.1] function(complement(u)) || equal(complement(u),universal_class) -> equal(cross_product(universal_class,universal_class),complement(u))*.
% 299.85/300.41  163624[5:Res:163531.1,134.1] || equal(power_class(u),universal_class) subclass(power_class(u),v) -> section(w,power_class(u),v)*.
% 299.85/300.41  163644[5:Res:163531.1,720.1] function(power_class(u)) || equal(power_class(u),universal_class) -> equal(cross_product(universal_class,universal_class),power_class(u))*.
% 299.85/300.41  6802[5:Rew:27.0,6787.1] || subclass(union(u,v),intersection(complement(u),complement(v)))* -> equal(union(u,v),identity_relation).
% 299.85/300.41  50601[5:Rew:39.0,50557.1,22667.0,50557.0] || member(regular(complement(inverse(u))),intersection(inverse(u),universal_class))* -> equal(complement(inverse(u)),identity_relation).
% 299.85/300.41  50600[5:Rew:54.0,50555.1,22654.0,50555.0] || member(regular(complement(sum_class(u))),intersection(sum_class(u),universal_class))* -> equal(complement(sum_class(u)),identity_relation).
% 299.85/300.41  5518[5:Rew:5180.0,4043.1] || subclass(universal_class,cantor(restrict(u,v,singleton(w))))* -> member(identity_relation,segment(u,v,w)).
% 299.85/300.41  8546[5:Res:8453.1,120.0] || equal(compose(restrict(u,v,v),restrict(u,v,v)),identity_relation)** -> transitive(u,v).
% 299.85/300.41  40171[5:SpL:5338.1,40113.0] || subclass(universal_class,complement(unordered_pair(u,regular(cross_product(v,w)))))* -> equal(cross_product(v,w),identity_relation).
% 299.85/300.41  40196[5:SpL:5338.1,40176.0] || equal(complement(unordered_pair(u,regular(cross_product(v,w)))),universal_class)** -> equal(cross_product(v,w),identity_relation).
% 299.85/300.41  29244[5:SpL:938.0,5192.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(identity_relation,complement(restrict(u,v,w)))*.
% 299.85/300.41  29252[5:SpL:938.0,5191.0] || equal(symmetric_difference(u,cross_product(v,w)),universal_class) -> member(identity_relation,complement(restrict(u,v,w)))*.
% 299.85/300.41  29396[5:SpL:939.0,5192.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(identity_relation,complement(restrict(w,u,v)))*.
% 299.85/300.41  29404[5:SpL:939.0,5191.0] || equal(symmetric_difference(cross_product(u,v),w),universal_class) -> member(identity_relation,complement(restrict(w,u,v)))*.
% 299.85/300.41  106245[5:Obv:106217.2] || member(u,v) member(u,sum_class(singleton(v)))* -> equal(sum_class(singleton(v)),identity_relation).
% 299.85/300.41  5562[5:Rew:5180.0,4859.1] || subclass(omega,element_relation) -> equal(integer_of(singleton(singleton(singleton(u)))),identity_relation)** member(singleton(u),u)*.
% 299.85/300.41  39406[5:Res:29628.0,22.0] ||  -> equal(complement(complement(intersection(u,v))),identity_relation) member(regular(complement(complement(intersection(u,v)))),u)*.
% 299.85/300.41  39407[5:Res:29628.0,23.0] ||  -> equal(complement(complement(intersection(u,v))),identity_relation) member(regular(complement(complement(intersection(u,v)))),v)*.
% 299.85/300.41  125881[5:Res:5288.2,1002.1] || subclass(omega,u) subclass(universal_class,complement(u))* -> equal(integer_of(unordered_pair(v,w)),identity_relation)**.
% 299.85/300.41  40184[5:SpL:5338.1,40120.0] || subclass(universal_class,complement(unordered_pair(regular(cross_product(u,v)),w)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.41  40202[5:SpL:5338.1,40189.0] || equal(complement(unordered_pair(regular(cross_product(u,v)),w)),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.41  46821[5:Res:8249.0,5325.0] ||  -> equal(restrict(singleton(u),v,w),identity_relation) equal(regular(restrict(singleton(u),v,w)),u)**.
% 299.85/300.41  47881[5:SpL:22914.0,8165.1] || member(u,symmetric_difference(union(v,identity_relation),universal_class))* member(u,symmetric_difference(complement(v),universal_class)) -> .
% 299.85/300.41  25800[5:SpR:22914.0,943.1] || member(u,symmetric_difference(union(v,identity_relation),universal_class))* -> member(u,complement(symmetric_difference(complement(v),universal_class))).
% 299.85/300.41  30874[5:MRR:30873.0,29469.1] || member(u,complement(symmetric_difference(complement(v),universal_class))) -> member(u,symmetric_difference(union(v,identity_relation),universal_class))*.
% 299.85/300.41  39402[5:Res:29628.0,2.0] || subclass(u,v) -> equal(complement(complement(u)),identity_relation) member(regular(complement(complement(u))),v)*.
% 299.85/300.41  125943[5:Res:5288.2,6463.1] || subclass(omega,u) subclass(domain_relation,complement(u))* -> equal(integer_of(ordered_pair(identity_relation,identity_relation)),identity_relation)**.
% 299.85/300.41  125907[5:Res:5288.2,8834.0] || subclass(omega,symmetric_difference(u,inverse(u)))* -> equal(integer_of(v),identity_relation) member(v,symmetrization_of(u))*.
% 299.85/300.41  125908[5:Res:5288.2,8898.0] || subclass(omega,symmetric_difference(u,singleton(u)))* -> equal(integer_of(v),identity_relation) member(v,successor(u))*.
% 299.85/300.41  52016[5:MRR:51985.0,29542.1] ||  -> member(regular(regular(complement(u))),u)* equal(regular(complement(u)),identity_relation) equal(complement(u),identity_relation).
% 299.85/300.41  41077[5:Res:5214.2,8834.0] || subclass(u,symmetric_difference(v,inverse(v)))* -> equal(u,identity_relation) member(regular(u),symmetrization_of(v)).
% 299.85/300.41  27437[5:Res:5214.2,22549.1] || subclass(u,complement(compose(element_relation,universal_class)))* member(regular(u),element_relation) -> equal(u,identity_relation).
% 299.85/300.41  41186[5:Res:5214.2,8898.0] || subclass(u,symmetric_difference(v,singleton(v)))* -> equal(u,identity_relation) member(regular(u),successor(v)).
% 299.85/300.41  113702[5:Res:608.1,5322.1] || member(regular(u),cantor(v))* subclass(u,complement(domain_of(v))) -> equal(u,identity_relation).
% 299.85/300.41  116723[5:MRR:116689.0,29542.1] || subclass(u,complement(union(v,w)))* -> member(regular(u),complement(v)) equal(u,identity_relation).
% 299.85/300.41  117110[5:MRR:117068.0,29542.1] || subclass(u,complement(union(v,w)))* -> member(regular(u),complement(w)) equal(u,identity_relation).
% 299.85/300.41  8084[5:Res:3780.1,5405.0] || equal(complement(complement(regular(u))),universal_class)** member(singleton(v),u)* -> equal(u,identity_relation).
% 299.85/300.41  122933[5:Rew:122359.0,122932.1] || subclass(u,complement(v)) member(regular(u),complement(complement(v)))* -> equal(u,identity_relation).
% 299.85/300.41  125892[5:Res:5288.2,22549.1] || subclass(omega,complement(compose(element_relation,universal_class)))* member(u,element_relation)* -> equal(integer_of(u),identity_relation).
% 299.85/300.41  25836[5:Rew:22914.0,25798.0] ||  -> equal(symmetric_difference(complement(u),universal_class),identity_relation) member(regular(symmetric_difference(complement(u),universal_class)),union(u,identity_relation))*.
% 299.85/300.41  120339[5:Rew:118447.0,120307.1] || member(not_subclass_element(union(u,identity_relation),v),symmetric_difference(universal_class,u))* -> subclass(union(u,identity_relation),v).
% 299.85/300.41  122937[5:Rew:119684.0,52304.1,119684.0,52304.0] || member(not_subclass_element(symmetric_difference(universal_class,u),v),union(u,identity_relation))* -> subclass(symmetric_difference(universal_class,u),v).
% 299.85/300.41  122938[5:Rew:119684.0,86424.0] ||  -> subclass(complement(successor(symmetric_difference(universal_class,u))),intersection(union(u,identity_relation),complement(singleton(symmetric_difference(universal_class,u)))))*.
% 299.85/300.41  122939[5:Rew:119684.0,86380.0] ||  -> subclass(complement(symmetrization_of(symmetric_difference(universal_class,u))),intersection(union(u,identity_relation),complement(inverse(symmetric_difference(universal_class,u)))))*.
% 299.85/300.41  122861[5:Rew:119684.0,39427.0] ||  -> member(regular(complement(union(u,identity_relation))),symmetric_difference(universal_class,u))* equal(complement(union(u,identity_relation)),identity_relation).
% 299.85/300.41  39309[5:Rew:22654.0,39276.0] || equal(intersection(sum_class(u),universal_class),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),intersection(sum_class(u),universal_class))*.
% 299.85/300.41  39310[5:Rew:22667.0,39278.0] || equal(intersection(inverse(u),universal_class),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),intersection(inverse(u),universal_class))*.
% 299.85/300.41  41067[5:Res:27132.1,8834.0] || subclass(domain_relation,complement(complement(symmetric_difference(u,inverse(u)))))* -> member(ordered_pair(identity_relation,identity_relation),symmetrization_of(u)).
% 299.85/300.41  28190[5:Res:27132.1,22549.1] || subclass(domain_relation,complement(complement(complement(compose(element_relation,universal_class)))))* member(ordered_pair(identity_relation,identity_relation),element_relation) -> .
% 299.85/300.41  28839[5:SpL:941.0,6464.0] || subclass(domain_relation,symmetric_difference(complement(u),complement(v))) -> member(ordered_pair(identity_relation,identity_relation),union(u,v))*.
% 299.85/300.41  39209[5:SpL:941.0,28860.0] || equal(symmetric_difference(complement(u),complement(v)),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),union(u,v))*.
% 299.85/300.41  28203[5:Res:27132.1,944.0] || subclass(domain_relation,complement(complement(symmetric_difference(u,v)))) -> member(ordered_pair(identity_relation,identity_relation),union(u,v))*.
% 299.85/300.41  41176[5:Res:27132.1,8898.0] || subclass(domain_relation,complement(complement(symmetric_difference(u,singleton(u)))))* -> member(ordered_pair(identity_relation,identity_relation),successor(u)).
% 299.85/300.41  38326[5:Res:32911.1,2.0] || subclass(domain_relation,domain_of(u)) subclass(cantor(u),v)* -> member(ordered_pair(identity_relation,identity_relation),v)*.
% 299.85/300.41  39294[5:Res:39252.1,2.0] || equal(cantor(u),domain_relation) subclass(cantor(u),v)* -> member(ordered_pair(identity_relation,identity_relation),v)*.
% 299.85/300.41  37921[5:Res:28844.1,2.0] || subclass(domain_relation,cantor(u)) subclass(domain_of(u),v)* -> member(ordered_pair(identity_relation,identity_relation),v)*.
% 299.85/300.41  39251[5:Res:39213.1,2.0] || equal(cantor(u),domain_relation) subclass(domain_of(u),v)* -> member(ordered_pair(identity_relation,identity_relation),v)*.
% 299.85/300.41  28188[5:Res:27132.1,2.0] || subclass(domain_relation,complement(complement(u)))* subclass(u,v)* -> member(ordered_pair(identity_relation,identity_relation),v)*.
% 299.85/300.41  117539[5:Res:117277.0,6463.1] || subclass(domain_relation,complement(inverse(singleton(ordered_pair(identity_relation,identity_relation)))))* -> asymmetric(singleton(ordered_pair(identity_relation,identity_relation)),u)*.
% 299.85/300.41  167420[7:Res:125624.1,588.0] || equal(intersection(complement(u),complement(v)),singleton(identity_relation))** member(identity_relation,union(u,v)) -> .
% 299.85/300.41  40704[0:Res:29471.1,2.0] || member(u,domain_of(u)) subclass(element_relation,v) -> member(ordered_pair(u,domain_of(u)),v)*.
% 299.85/300.41  40814[0:Res:29472.1,2.0] || member(u,rest_of(u)) subclass(element_relation,v) -> member(ordered_pair(u,rest_of(u)),v)*.
% 299.85/300.41  40820[5:SpL:22667.0,40751.0] || member(flip(cross_product(u,universal_class)),intersection(inverse(u),universal_class))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.41  40818[5:SpL:22654.0,40751.0] || member(restrict(element_relation,universal_class,u),intersection(sum_class(u),universal_class))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.41  47768[0:Res:783.1,40810.0] || subclass(ordered_pair(u,v),rest_of(unordered_pair(u,singleton(v))))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.41  40912[0:Res:766.2,40810.0] || subclass(u,rest_of(not_subclass_element(u,v)))* subclass(universal_class,complement(element_relation)) -> subclass(u,v).
% 299.85/300.41  160734[0:SpL:120682.0,40700.0] || member(cross_product(u,singleton(v)),segment(universal_class,u,v))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.41  27414[5:Res:3.1,22549.1] || member(not_subclass_element(complement(compose(element_relation,universal_class)),u),element_relation)* -> subclass(complement(compose(element_relation,universal_class)),u).
% 299.85/300.41  50772[0:Res:55.1,23342.0] || member(u,universal_class) subclass(rest_relation,successor_relation) -> equal(rest_of(sum_class(u)),successor(sum_class(u)))**.
% 299.85/300.41  153461[0:Res:765.2,119626.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(universal_class,v)) -> member(sum_class(u),complement(v))*.
% 299.85/300.41  153519[0:Res:765.2,119659.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(universal_class,v))* member(sum_class(u),v)* -> .
% 299.85/300.41  146457[5:Res:146432.1,134.1] || equal(sum_class(u),universal_class) subclass(sum_class(u),v) -> section(w,sum_class(u),v)*.
% 299.85/300.41  146467[5:Res:146432.1,720.1] function(sum_class(u)) || equal(sum_class(u),universal_class) -> equal(cross_product(universal_class,universal_class),sum_class(u))*.
% 299.85/300.41  39377[5:Rew:22654.0,39349.0] || equal(intersection(sum_class(u),universal_class),domain_relation) subclass(domain_relation,complement(intersection(sum_class(u),universal_class)))* -> .
% 299.85/300.41  114883[5:Rew:54.0,114748.1] || member(u,intersection(sum_class(v),universal_class))* subclass(sum_class(v),w)* -> member(u,w)*.
% 299.85/300.41  50771[0:Res:57.1,23342.0] || member(u,universal_class) subclass(rest_relation,successor_relation) -> equal(rest_of(power_class(u)),successor(power_class(u)))**.
% 299.85/300.41  178276[14:Res:24.2,178202.1] || member(identity_relation,u) member(identity_relation,v) equal(complement(intersection(v,u)),omega)** -> .
% 299.85/300.41  178556[14:SpL:939.0,178033.0] || subclass(omega,symmetric_difference(cross_product(u,v),w)) -> member(identity_relation,complement(restrict(w,u,v)))*.
% 299.85/300.41  178557[14:SpL:938.0,178033.0] || subclass(omega,symmetric_difference(u,cross_product(v,w))) -> member(identity_relation,complement(restrict(u,v,w)))*.
% 299.85/300.41  178582[14:SpR:123.0,178550.1] || subclass(omega,cantor(restrict(u,v,singleton(w))))* -> member(identity_relation,segment(u,v,w)).
% 299.85/300.41  178690[14:SpL:939.0,178572.0] || equal(symmetric_difference(cross_product(u,v),w),omega) -> member(identity_relation,complement(restrict(w,u,v)))*.
% 299.85/300.41  178691[14:SpL:938.0,178572.0] || equal(symmetric_difference(u,cross_product(v,w)),omega) -> member(identity_relation,complement(restrict(u,v,w)))*.
% 299.85/300.41  178757[14:SpR:123.0,178684.1] || equal(cantor(restrict(u,v,singleton(w))),omega)** -> member(identity_relation,segment(u,v,w)).
% 299.85/300.41  180078[5:Rew:119684.0,180024.0,22457.0,180024.0,22457.0,180024.0] ||  -> equal(symmetric_difference(complement(symmetric_difference(complement(u),universal_class)),universal_class),symmetric_difference(universal_class,symmetric_difference(union(u,identity_relation),universal_class)))**.
% 299.85/300.41  39587[5:Res:34824.1,2.0] || subclass(cantor(inverse(u)),v) -> equal(range_of(u),identity_relation) member(regular(range_of(u)),v)*.
% 299.85/300.41  34912[5:Res:29474.1,5233.0] || member(regular(complement(cantor(inverse(u)))),range_of(u))* -> equal(complement(cantor(inverse(u))),identity_relation).
% 299.85/300.41  87313[0:Res:86994.1,8.0] || equal(cantor(inverse(u)),v) subclass(range_of(u),v)* -> equal(range_of(u),v).
% 299.85/300.41  28648[0:Res:821.1,2.0] || subclass(universal_class,cantor(inverse(u)))* subclass(range_of(u),v)* -> member(singleton(w),v)*.
% 299.85/300.41  46374[0:Res:821.1,3924.0] || subclass(universal_class,cantor(inverse(u)))* subclass(range_of(u),v)* well_ordering(universal_class,v) -> .
% 299.85/300.41  102804[0:Res:86994.1,772.1] || equal(cantor(inverse(u)),singleton(v)) member(v,universal_class) -> member(v,range_of(u))*.
% 299.85/300.41  150339[5:Res:150282.1,134.1] || equal(range_of(u),universal_class) subclass(range_of(u),v) -> section(w,range_of(u),v)*.
% 299.85/300.41  150349[5:Res:150282.1,28696.0] || equal(range_of(u),universal_class) well_ordering(v,range_of(u))* -> member(least(v,rest_relation),rest_relation)*.
% 299.85/300.41  150351[5:Res:150282.1,720.1] function(range_of(u)) || equal(range_of(u),universal_class) -> equal(cross_product(universal_class,universal_class),range_of(u))*.
% 299.85/300.41  7611[0:Res:765.2,610.0] || member(u,universal_class) subclass(universal_class,cantor(inverse(v))) -> member(sum_class(u),range_of(v))*.
% 299.85/300.41  162495[0:Res:122671.0,610.0] ||  -> subclass(u,complement(cantor(inverse(v)))) member(not_subclass_element(u,complement(cantor(inverse(v)))),range_of(v))*.
% 299.85/300.41  152954[5:SpR:146076.0,943.1] || member(u,symmetric_difference(range_of(v),cantor(inverse(v))))* -> member(u,complement(cantor(inverse(v)))).
% 299.85/300.41  152980[5:SpL:146076.0,8165.1] || member(u,symmetric_difference(range_of(v),cantor(inverse(v))))* member(u,cantor(inverse(v))) -> .
% 299.85/300.41  8437[0:Res:766.2,610.0] || subclass(u,cantor(inverse(v))) -> subclass(u,w) member(not_subclass_element(u,w),range_of(v))*.
% 299.85/300.41  7576[0:Res:764.2,610.0] || member(u,universal_class) subclass(universal_class,cantor(inverse(v))) -> member(power_class(u),range_of(v))*.
% 299.85/300.41  47755[0:Res:783.1,610.0] || subclass(ordered_pair(u,v),cantor(inverse(w))) -> member(unordered_pair(u,singleton(v)),range_of(w))*.
% 299.85/300.41  120762[5:Rew:120676.0,120750.0] ||  -> equal(image(universal_class,u),identity_relation) member(regular(image(universal_class,u)),cantor(inverse(cross_product(u,universal_class))))*.
% 299.85/300.41  152959[5:SpR:120676.0,146076.0] ||  -> equal(intersection(image(universal_class,u),cantor(inverse(cross_product(u,universal_class)))),cantor(inverse(cross_product(u,universal_class))))**.
% 299.85/300.41  39590[5:Rew:22714.0,39589.1] ||  -> equal(image(u,v),identity_relation) member(regular(image(u,v)),intersection(image(u,v),universal_class))*.
% 299.85/300.41  167396[7:SpR:579.0,167376.1] ||  -> member(identity_relation,image(element_relation,union(u,v))) member(identity_relation,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.41  41195[0:SpL:43.0,40725.0] || member(inverse(restrict(u,v,universal_class)),image(u,v))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.41  32693[5:SSi:32684.0,70.0] ||  -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)** member(u,universal_class).
% 299.85/300.41  32692[5:SSi:32677.0,70.0] ||  -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),u)** member(v,universal_class).
% 299.85/300.41  5760[5:Rew:5180.0,5469.1] ||  -> equal(singleton(cross_product(u,v)),identity_relation) equal(restrict(singleton(cross_product(u,v)),u,v),identity_relation)**.
% 299.85/300.41  108121[5:Rew:46830.1,108120.1] || member(regular(u),sum_class(singleton(u)))* -> equal(u,identity_relation) equal(sum_class(singleton(u)),identity_relation).
% 299.85/300.41  32927[5:Res:5404.2,29473.0] || well_ordering(u,universal_class) -> equal(domain_of(v),identity_relation) member(least(u,domain_of(v)),cantor(v))*.
% 299.85/300.41  48800[5:Res:5403.2,1054.0] || well_ordering(u,singleton(v)) -> equal(singleton(v),identity_relation) equal(least(u,singleton(v)),v)**.
% 299.85/300.41  8365[5:Res:8346.0,5259.0] || well_ordering(u,domain_of(v)) -> equal(segment(u,cantor(v),least(u,cantor(v))),identity_relation)**.
% 299.85/300.41  46357[0:Res:766.2,3924.0] || subclass(u,v)* subclass(v,w)* well_ordering(universal_class,w)* -> subclass(u,x)*.
% 299.85/300.41  117426[5:Res:5586.1,3924.0] || subclass(union(u,v),w)* well_ordering(universal_class,w) -> equal(symmetric_difference(u,v),identity_relation).
% 299.85/300.41  46363[5:Res:5214.2,3924.0] || subclass(u,v)* subclass(v,w)* well_ordering(universal_class,w)* -> equal(u,identity_relation).
% 299.85/300.41  178145[5:SpR:5442.1,160697.0] || well_ordering(universal_class,cross_product(universal_class,universal_class)) -> subclass(cantor(cross_product(element_relation,singleton(least(universal_class,element_relation)))),identity_relation)*.
% 299.85/300.41  178169[5:SpR:5441.1,160697.0] || well_ordering(universal_class,cross_product(universal_class,universal_class)) -> subclass(cantor(cross_product(successor_relation,singleton(least(universal_class,successor_relation)))),identity_relation)*.
% 299.85/300.41  178183[5:SpR:5440.1,160697.0] || well_ordering(universal_class,cross_product(universal_class,universal_class)) -> subclass(cantor(cross_product(domain_relation,singleton(least(universal_class,domain_relation)))),identity_relation)*.
% 299.85/300.41  178217[5:SpR:5439.1,160697.0] || well_ordering(universal_class,cross_product(universal_class,universal_class)) -> subclass(cantor(cross_product(rest_relation,singleton(least(universal_class,rest_relation)))),identity_relation)*.
% 299.85/300.41  111325[0:Res:943.1,111279.0] || member(singleton(singleton(u)),symmetric_difference(v,w))* well_ordering(universal_class,complement(intersection(v,w))) -> .
% 299.85/300.41  152798[0:Res:122840.1,595.0] || well_ordering(universal_class,complement(restrict(u,v,w)))* -> member(singleton(singleton(x)),cross_product(v,w))*.
% 299.85/300.41  168360[5:Res:122840.1,5405.0] || well_ordering(universal_class,complement(regular(u)))* member(singleton(singleton(v)),u)* -> equal(u,identity_relation).
% 299.85/300.41  111354[0:MRR:111327.0,176.0] || well_ordering(universal_class,intersection(complement(u),complement(v)))* -> member(singleton(singleton(w)),union(u,v))*.
% 299.85/300.41  148709[0:SpL:27.0,111306.0] || equal(complement(union(u,v)),universal_class) well_ordering(universal_class,intersection(complement(u),complement(v)))* -> .
% 299.85/300.41  160731[0:SpL:120682.0,122838.1] || subclass(rest_relation,rest_of(cross_product(u,singleton(v))))* well_ordering(universal_class,segment(universal_class,u,v)) -> .
% 299.85/300.41  111341[5:Res:106230.1,111279.0] || well_ordering(universal_class,sum_class(singleton(singleton(singleton(u)))))* -> equal(sum_class(singleton(singleton(singleton(u)))),identity_relation).
% 299.85/300.41  163464[5:Res:162500.1,28696.0] || equal(complement(u),universal_class) well_ordering(v,complement(u))* -> member(least(v,rest_relation),rest_relation)*.
% 299.85/300.41  46857[5:Res:28041.2,29473.0] inductive(domain_of(u)) || well_ordering(v,universal_class) -> member(least(v,domain_of(u)),cantor(u))*.
% 299.85/300.41  46848[3:Res:28041.2,25.1] inductive(complement(u)) || well_ordering(v,universal_class) member(least(v,complement(u)),u)* -> .
% 299.85/300.41  108262[0:Res:45819.1,28696.0] || subclass(rest_relation,cantor(u)) well_ordering(v,domain_of(u))* -> member(least(v,rest_relation),rest_relation)*.
% 299.85/300.41  48996[3:Res:28061.2,1054.0] inductive(singleton(u)) || well_ordering(v,singleton(u)) -> equal(least(v,singleton(u)),u)**.
% 299.85/300.41  146522[5:Res:146436.1,28696.0] || equal(inverse(u),universal_class) well_ordering(v,inverse(u))* -> member(least(v,rest_relation),rest_relation)*.
% 299.85/300.41  163639[5:Res:163531.1,28696.0] || equal(power_class(u),universal_class) well_ordering(v,power_class(u))* -> member(least(v,rest_relation),rest_relation)*.
% 299.85/300.41  146465[5:Res:146432.1,28696.0] || equal(sum_class(u),universal_class) well_ordering(v,sum_class(u))* -> member(least(v,rest_relation),rest_relation)*.
% 299.85/300.41  8482[5:Res:8453.1,3412.1] || equal(sum_class(u),identity_relation) well_ordering(element_relation,u)* -> equal(u,universal_class) member(u,universal_class).
% 299.85/300.41  189281[7:Res:943.1,125680.1] || member(identity_relation,symmetric_difference(u,v)) equal(complement(complement(intersection(u,v))),singleton(identity_relation))** -> .
% 299.85/300.41  189544[7:Rew:189431.0,124307.0] || member(u,symmetric_difference(complement(v),singleton(identity_relation)))* -> member(u,union(v,complement(singleton(identity_relation)))).
% 299.85/300.41  189545[7:Rew:189431.0,124305.0] || member(u,symmetric_difference(singleton(identity_relation),complement(v)))* -> member(u,union(complement(singleton(identity_relation)),v)).
% 299.85/300.41  189568[7:Rew:189431.0,179989.0] || equal(symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))),universal_class)** -> member(identity_relation,power_class(complement(singleton(identity_relation)))).
% 299.85/300.41  189569[7:Rew:189431.0,179157.1] || subclass(universal_class,power_class(complement(singleton(identity_relation)))) -> equal(symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))),universal_class)**.
% 299.85/300.41  189570[7:Rew:189431.0,179128.0] || equal(symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))),universal_class)** -> member(omega,power_class(complement(singleton(identity_relation)))).
% 299.85/300.41  189742[7:Rew:189431.0,189573.0] || subclass(singleton(identity_relation),power_class(complement(singleton(identity_relation))))* member(identity_relation,image(element_relation,singleton(identity_relation))) -> .
% 299.85/300.41  189613[7:Rew:189431.0,179146.0] ||  -> subclass(complement(union(u,image(element_relation,singleton(identity_relation)))),intersection(complement(u),power_class(complement(singleton(identity_relation)))))*.
% 299.85/300.41  189618[7:Rew:189431.0,179124.0] ||  -> subclass(complement(union(image(element_relation,singleton(identity_relation)),u)),intersection(power_class(complement(singleton(identity_relation))),complement(u)))*.
% 299.85/300.41  189652[7:Rew:189431.0,189273.2] || well_ordering(u,complement(v))* -> member(identity_relation,v) member(least(u,singleton(identity_relation)),singleton(identity_relation))*.
% 299.85/300.41  189661[7:Rew:189431.0,189092.2] || member(identity_relation,u) well_ordering(v,u)* -> member(least(v,singleton(identity_relation)),singleton(identity_relation))*.
% 299.85/300.41  189703[7:Rew:189431.0,188888.0] || subclass(singleton(identity_relation),union(u,v)) member(identity_relation,intersection(complement(u),complement(v)))* -> .
% 299.85/300.41  190650[5:Rew:122360.0,190521.1] || equal(complement(u),universal_class) -> subclass(complement(complement(complement(inverse(complement(u))))),symmetrization_of(complement(u)))*.
% 299.85/300.41  190565[5:SpL:177103.1,122507.0] || equal(complement(symmetrization_of(u)),universal_class)** subclass(cross_product(v,v),identity_relation)* -> connected(u,v)*.
% 299.85/300.41  190702[5:MRR:190701.2,5184.0] || equal(complement(symmetrization_of(u)),universal_class)** connected(u,v)* -> equal(cross_product(v,v),identity_relation)**.
% 299.85/300.41  190857[5:Rew:122360.0,190752.1] || equal(inverse(u),universal_class) -> subclass(complement(complement(complement(inverse(inverse(u))))),symmetrization_of(inverse(u)))*.
% 299.85/300.41  191012[5:Rew:122360.0,190918.1] || equal(sum_class(u),universal_class) -> subclass(complement(complement(complement(inverse(sum_class(u))))),symmetrization_of(sum_class(u)))*.
% 299.85/300.41  191256[14:SpL:27.0,178298.1] || equal(intersection(complement(u),complement(v)),singleton(identity_relation))** equal(union(u,v),omega) -> .
% 299.85/300.41  191266[14:SpL:189471.0,178298.1] || equal(image(element_relation,singleton(identity_relation)),singleton(identity_relation))** equal(power_class(complement(singleton(identity_relation))),omega) -> .
% 299.85/300.41  191282[14:SpR:189471.0,178692.1] || equal(symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))),omega)** -> member(identity_relation,power_class(complement(singleton(identity_relation)))).
% 299.85/300.41  192298[15:Res:191820.0,773.1] || member(u,universal_class) -> member(u,successor(range_of(identity_relation))) member(u,symmetric_difference(universal_class,range_of(identity_relation)))*.
% 299.85/300.41  192938[5:Rew:122360.0,192839.1] || equal(range_of(u),universal_class) -> subclass(complement(complement(complement(inverse(range_of(u))))),symmetrization_of(range_of(u)))*.
% 299.85/300.41  193286[5:Rew:122360.0,193184.1] || equal(power_class(u),universal_class) -> subclass(complement(complement(complement(inverse(power_class(u))))),symmetrization_of(power_class(u)))*.
% 299.85/300.41  193422[7:SpL:120682.0,176818.1] || member(identity_relation,cantor(cross_product(u,singleton(v))))* well_ordering(universal_class,segment(universal_class,u,v)) -> .
% 299.85/300.41  193431[14:SpL:27.0,189298.1] || equal(intersection(complement(u),complement(v)),omega)** equal(union(u,v),singleton(identity_relation)) -> .
% 299.85/300.41  193441[14:SpL:189471.0,189298.1] || equal(image(element_relation,singleton(identity_relation)),omega)** equal(power_class(complement(singleton(identity_relation))),singleton(identity_relation)) -> .
% 299.85/300.41  193470[7:SpL:27.0,189302.1] || equal(intersection(complement(u),complement(v)),universal_class)** equal(union(u,v),singleton(identity_relation)) -> .
% 299.85/300.41  193511[7:SpL:27.0,189307.0] || equal(complement(union(u,v)),singleton(identity_relation)) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.85/300.41  193706[12:Rew:22454.0,193626.1] || member(u,universal_class) -> subclass(symmetric_difference(complement(sum_class(range_of(u))),universal_class),successor(sum_class(range_of(u))))*.
% 299.85/300.41  193713[12:Rew:119684.0,193627.1,22454.0,193627.1] || member(u,universal_class) -> subclass(complement(successor(sum_class(range_of(u)))),symmetric_difference(universal_class,sum_class(range_of(u))))*.
% 299.85/300.41  194151[15:Res:192110.1,8165.1] || equal(intersection(u,v),singleton(singleton(identity_relation))) member(singleton(identity_relation),symmetric_difference(u,v))* -> .
% 299.85/300.41  194172[15:Res:192110.1,595.0] || equal(restrict(u,v,w),singleton(singleton(identity_relation)))** -> member(singleton(identity_relation),cross_product(v,w))*.
% 299.85/300.41  194176[15:Res:192110.1,5405.0] || equal(regular(u),singleton(singleton(identity_relation))) member(singleton(identity_relation),u)* -> equal(u,identity_relation).
% 299.85/300.41  194195[7:SpR:120682.0,193112.1] || equal(cantor(cross_product(u,singleton(v))),singleton(identity_relation)) -> member(identity_relation,segment(universal_class,u,v))*.
% 299.85/300.41  195016[5:SpL:120682.0,194882.0] || equal(complement(segment(universal_class,u,v)),universal_class) -> equal(cantor(cross_product(u,singleton(v))),identity_relation)**.
% 299.85/300.41  195130[17:SpL:123.0,195123.1] || member(restrict(u,v,singleton(w)),universal_class)* member(x,segment(u,v,w))* -> .
% 299.85/300.41  195196[17:Rew:195144.1,149229.2] || member(u,universal_class) subclass(domain_relation,domain_of(v)) -> member(ordered_pair(u,identity_relation),cantor(v))*.
% 299.85/300.41  196298[17:Obv:196261.0] ||  -> equal(regular(unordered_pair(u,v)),u)** equal(unordered_pair(u,v),identity_relation) equal(domain_of(v),identity_relation).
% 299.85/300.41  196299[17:Obv:196260.0] ||  -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation) equal(domain_of(u),identity_relation).
% 299.85/300.41  196383[17:MRR:196349.1,5184.0] || subclass(u,v) -> equal(integer_of(restrict(w,v,u)),identity_relation)** section(w,u,v).
% 299.85/300.41  196473[17:MRR:196439.1,5184.0] || subclass(u,v) -> equal(singleton(restrict(w,v,u)),identity_relation)** section(w,u,v).
% 299.85/300.41  196535[17:Obv:196505.0] ||  -> equal(regular(unordered_pair(u,v)),u)** equal(unordered_pair(u,v),identity_relation) equal(cantor(v),identity_relation).
% 299.85/300.41  196536[17:Obv:196504.0] ||  -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation) equal(cantor(u),identity_relation).
% 299.85/300.41  197868[17:SpL:195310.1,122838.1] || well_ordering(u,rest_relation) subclass(rest_relation,rest_of(least(u,rest_relation)))* well_ordering(universal_class,identity_relation) -> .
% 299.85/300.41  197930[17:SpL:195311.1,122838.1] || well_ordering(u,universal_class) subclass(rest_relation,rest_of(least(u,rest_relation)))* well_ordering(universal_class,identity_relation) -> .
% 299.85/300.41  197991[17:SpL:195312.1,122838.1] || well_ordering(u,universal_class) subclass(rest_relation,rest_of(least(u,universal_class)))* well_ordering(universal_class,identity_relation) -> .
% 299.85/300.41  198050[17:Res:195614.1,8165.1] || subclass(domain_relation,intersection(u,v)) member(singleton(singleton(singleton(identity_relation))),symmetric_difference(u,v))* -> .
% 299.85/300.41  198071[17:Res:195614.1,595.0] || subclass(domain_relation,restrict(u,v,w))* -> member(singleton(singleton(singleton(identity_relation))),cross_product(v,w))*.
% 299.85/300.41  198075[17:Res:195614.1,5405.0] || subclass(domain_relation,regular(u)) member(singleton(singleton(singleton(identity_relation))),u)* -> equal(u,identity_relation).
% 299.85/300.41  198880[15:SpR:191858.0,164613.0] ||  -> subclass(symmetric_difference(complement(sum_class(range_of(identity_relation))),symmetric_difference(universal_class,sum_class(range_of(identity_relation)))),successor(sum_class(range_of(identity_relation))))*.
% 299.85/300.41  198937[5:Rew:26049.0,198884.0] ||  -> subclass(symmetric_difference(complement(cantor(inverse(u))),symmetric_difference(range_of(u),universal_class)),complement(symmetric_difference(range_of(u),universal_class)))*.
% 299.85/300.41  200752[5:SpR:200704.1,160697.0] || equal(u,universal_class) -> inductive(u) subclass(cantor(cross_product(v,identity_relation)),segment(universal_class,v,u))*.
% 299.85/300.41  201363[5:SpR:118447.0,146221.1] || subclass(symmetric_difference(universal_class,u),v) -> subclass(symmetric_difference(v,symmetric_difference(universal_class,u)),union(u,identity_relation))*.
% 299.85/300.41  204215[5:SpL:2089.1,203697.0] || equal(complement(complement(not_subclass_element(cross_product(u,v),w))),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.41  204226[5:SpL:2089.1,201820.0] || subclass(unordered_pair(u,not_subclass_element(cross_product(v,w),x)),identity_relation)* -> subclass(cross_product(v,w),x).
% 299.85/300.41  204297[5:SpL:2089.1,201825.0] || subclass(unordered_pair(not_subclass_element(cross_product(u,v),w),x),identity_relation)* -> subclass(cross_product(u,v),w).
% 299.85/300.41  204499[5:SpL:2089.1,203267.0] || equal(unordered_pair(u,not_subclass_element(cross_product(v,w),x)),identity_relation)** -> subclass(cross_product(v,w),x).
% 299.85/300.41  204517[5:SpL:2089.1,203270.0] || equal(unordered_pair(not_subclass_element(cross_product(u,v),w),x),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.41  205299[5:Res:205150.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v)))* member(power_class(identity_relation),union(u,v)) -> .
% 299.85/300.41  205532[5:SpR:203313.1,123.0] || equal(cantor(restrict(u,v,singleton(w))),identity_relation)** -> equal(segment(u,v,w),identity_relation).
% 299.85/300.41  205635[5:SpR:203318.1,123.0] || equal(rest_of(restrict(u,v,singleton(w))),identity_relation)** -> equal(segment(u,v,w),identity_relation).
% 299.85/300.41  205721[5:SpL:123.0,203320.0] || equal(segment(u,v,w),identity_relation) -> equal(cantor(restrict(u,v,singleton(w))),identity_relation)**.
% 299.85/300.41  205961[5:SpL:123.0,204822.0] || subclass(segment(u,v,w),identity_relation) -> equal(cantor(restrict(u,v,singleton(w))),identity_relation)**.
% 299.85/300.41  206382[5:Res:201827.1,8157.0] || subclass(complement(symmetric_difference(complement(u),complement(v))),identity_relation)* -> member(singleton(w),union(u,v))*.
% 299.85/300.41  206389[5:Res:201827.1,9.0] || subclass(complement(unordered_pair(u,v)),identity_relation)* -> equal(singleton(w),v)* equal(singleton(w),u)*.
% 299.85/300.41  206680[5:Res:203299.1,8157.0] || equal(complement(symmetric_difference(complement(u),complement(v))),identity_relation)** -> member(singleton(w),union(u,v))*.
% 299.85/300.41  206842[5:SpR:204330.1,939.0] || equal(complement(restrict(u,v,w)),identity_relation) -> equal(symmetric_difference(cross_product(v,w),u),identity_relation)**.
% 299.85/300.42  206843[5:SpR:204330.1,938.0] || equal(complement(restrict(u,v,w)),identity_relation) -> equal(symmetric_difference(u,cross_product(v,w)),identity_relation)**.
% 299.85/300.42  207223[5:SpR:204745.1,939.0] || subclass(complement(restrict(u,v,w)),identity_relation)* -> equal(symmetric_difference(cross_product(v,w),u),identity_relation).
% 299.85/300.42  207224[5:SpR:204745.1,938.0] || subclass(complement(restrict(u,v,w)),identity_relation)* -> equal(symmetric_difference(u,cross_product(v,w)),identity_relation).
% 299.85/300.42  207715[5:Res:29628.0,158.0] ||  -> equal(complement(complement(omega)),identity_relation) equal(integer_of(regular(complement(complement(omega)))),regular(complement(complement(omega))))**.
% 299.85/300.42  208632[5:SpL:123.0,208585.0] || member(restrict(u,v,singleton(w)),segment(u,v,w))* subclass(element_relation,identity_relation) -> .
% 299.85/300.42  209576[17:SoR:209318.0,4792.2] single_valued_class(regular(complement(power_class(identity_relation)))) || equal(regular(complement(power_class(identity_relation))),cross_product(universal_class,universal_class))** -> .
% 299.85/300.42  209584[17:SoR:209319.0,4792.2] single_valued_class(regular(complement(power_class(universal_class)))) || equal(regular(complement(power_class(universal_class))),cross_product(universal_class,universal_class))** -> .
% 299.85/300.42  209841[17:SpR:209320.1,104.0] function(single_valued1(u)) ||  -> equal(domain__dfg(u,image(inverse(u),identity_relation),single_valued2(u)),single_valued3(u))**.
% 299.85/300.42  209890[17:SpL:209320.1,5244.1] function(u) || member(u,domain_of(v))* equal(restrict(v,identity_relation,universal_class),identity_relation)** -> .
% 299.85/300.42  210178[15:SoR:209261.0,4792.2] single_valued_class(inverse(u)) || equal(cross_product(universal_class,universal_class),inverse(u))* -> equal(range_of(u),universal_class)**.
% 299.85/300.42  210287[17:SoR:209429.0,4792.2] single_valued_class(sum_class(u)) || member(u,universal_class)* equal(cross_product(universal_class,universal_class),sum_class(u))* -> .
% 299.85/300.42  210290[17:SoR:209432.0,4792.2] single_valued_class(power_class(u)) || equal(identity_relation,u) equal(cross_product(universal_class,universal_class),power_class(u))* -> .
% 299.85/300.42  210293[17:SoR:209433.0,4792.2] single_valued_class(power_class(u)) || member(u,universal_class)* equal(cross_product(universal_class,universal_class),power_class(u))* -> .
% 299.85/300.42  210407[17:SpR:210378.1,14.0] one_to_one(u) ||  -> equal(unordered_pair(identity_relation,unordered_pair(inverse(u),singleton(v))),ordered_pair(inverse(u),v))**.
% 299.85/300.42  210917[17:SoR:209446.0,8479.2] single_valued_class(least(u,rest_relation)) || well_ordering(u,universal_class) equal(least(u,rest_relation),identity_relation)** -> .
% 299.85/300.42  210920[17:SoR:209447.0,8479.2] single_valued_class(least(u,rest_relation)) || well_ordering(u,rest_relation) equal(least(u,rest_relation),identity_relation)** -> .
% 299.85/300.42  210923[17:SoR:209448.0,8479.2] single_valued_class(least(u,universal_class)) || well_ordering(u,universal_class) equal(least(u,universal_class),identity_relation)** -> .
% 299.85/300.42  124276[5:Res:124215.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,symmetrization_of(identity_relation),least(u,symmetrization_of(identity_relation))),identity_relation)**.
% 299.85/300.42  191264[14:SpL:122494.0,178298.1] || equal(image(element_relation,symmetrization_of(identity_relation)),singleton(identity_relation))** equal(power_class(complement(inverse(identity_relation))),omega) -> .
% 299.85/300.42  179006[5:SpR:122494.0,47693.0] ||  -> subclass(complement(union(image(element_relation,symmetrization_of(identity_relation)),u)),intersection(power_class(complement(inverse(identity_relation))),complement(u)))*.
% 299.85/300.42  179028[5:SpR:122494.0,47693.0] ||  -> subclass(complement(union(u,image(element_relation,symmetrization_of(identity_relation)))),intersection(complement(u),power_class(complement(inverse(identity_relation)))))*.
% 299.85/300.42  193439[14:SpL:122494.0,189298.1] || equal(image(element_relation,symmetrization_of(identity_relation)),omega)** equal(power_class(complement(inverse(identity_relation))),singleton(identity_relation)) -> .
% 299.85/300.42  189705[7:Rew:189431.0,188895.0] || subclass(singleton(identity_relation),power_class(complement(inverse(identity_relation))))* member(identity_relation,image(element_relation,symmetrization_of(identity_relation))) -> .
% 299.85/300.42  191280[14:SpR:122494.0,178692.1] || equal(symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))),omega)** -> member(identity_relation,power_class(complement(inverse(identity_relation)))).
% 299.85/300.42  179010[5:SpR:122494.0,144786.1] || equal(symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))),universal_class)** -> member(omega,power_class(complement(inverse(identity_relation)))).
% 299.85/300.42  179039[5:SpL:122494.0,146252.0] || subclass(universal_class,power_class(complement(inverse(identity_relation)))) -> equal(symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))),universal_class)**.
% 299.85/300.42  179988[5:SpR:122494.0,124837.1] || equal(symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))),universal_class)** -> member(identity_relation,power_class(complement(inverse(identity_relation)))).
% 299.85/300.42  124243[5:SpL:124149.0,8157.0] || member(u,symmetric_difference(complement(v),symmetrization_of(identity_relation)))* -> member(u,union(v,complement(inverse(identity_relation)))).
% 299.85/300.42  124241[5:SpL:124149.0,8157.0] || member(u,symmetric_difference(symmetrization_of(identity_relation),complement(v)))* -> member(u,union(complement(inverse(identity_relation)),v)).
% 299.85/300.42  209572[17:SoR:209317.0,4792.2] single_valued_class(regular(complement(symmetrization_of(identity_relation)))) || equal(regular(complement(symmetrization_of(identity_relation))),cross_product(universal_class,universal_class))** -> .
% 299.85/300.42  203738[9:MRR:123200.1,203684.0] || well_ordering(u,complement(inverse(identity_relation))) -> member(least(u,complement(symmetrization_of(identity_relation))),complement(symmetrization_of(identity_relation)))*.
% 299.85/300.42  207997[12:Rew:191620.1,207978.2] || member(u,universal_class) member(singleton(singleton(identity_relation)),element_relation)* -> member(identity_relation,sum_class(range_of(u)))*.
% 299.85/300.42  35494[5:Rew:5309.0,35486.1] || member(ordered_pair(u,not_subclass_element(v,range_of(identity_relation))),compose(identity_relation,w))* -> subclass(v,range_of(identity_relation)).
% 299.85/300.42  213701[17:SpR:123943.1,196095.0] || well_ordering(u,universal_class) -> equal(least(u,omega),identity_relation) equal(cantor(least(u,omega)),identity_relation)**.
% 299.85/300.42  213715[20:Res:212340.0,8.0] || subclass(symmetrization_of(identity_relation),singleton(regular(symmetrization_of(identity_relation))))* -> equal(singleton(regular(symmetrization_of(identity_relation))),symmetrization_of(identity_relation)).
% 299.85/300.42  213870[17:Res:195387.1,119659.0] || subclass(domain_relation,rotate(symmetric_difference(universal_class,u))) member(ordered_pair(ordered_pair(v,identity_relation),w),u)* -> .
% 299.85/300.42  213871[17:Res:195387.1,119626.0] || subclass(domain_relation,rotate(symmetric_difference(universal_class,u))) -> member(ordered_pair(ordered_pair(v,identity_relation),w),complement(u))*.
% 299.85/300.42  213880[17:Res:195387.1,610.0] || subclass(domain_relation,rotate(cantor(inverse(u)))) -> member(ordered_pair(ordered_pair(v,identity_relation),w),range_of(u))*.
% 299.85/300.42  213882[17:Res:195387.1,596.0] || subclass(domain_relation,rotate(restrict(u,v,w)))* -> member(ordered_pair(ordered_pair(x,identity_relation),y),u)*.
% 299.85/300.42  213890[17:Res:195387.1,40810.0] || subclass(domain_relation,rotate(rest_of(ordered_pair(ordered_pair(u,identity_relation),v))))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.42  213972[17:Res:195388.1,119659.0] || subclass(domain_relation,flip(symmetric_difference(universal_class,u))) member(ordered_pair(ordered_pair(v,w),identity_relation),u)* -> .
% 299.85/300.42  213973[17:Res:195388.1,119626.0] || subclass(domain_relation,flip(symmetric_difference(universal_class,u))) -> member(ordered_pair(ordered_pair(v,w),identity_relation),complement(u))*.
% 299.85/300.42  213982[17:Res:195388.1,610.0] || subclass(domain_relation,flip(cantor(inverse(u)))) -> member(ordered_pair(ordered_pair(v,w),identity_relation),range_of(u))*.
% 299.85/300.42  213984[17:Res:195388.1,596.0] || subclass(domain_relation,flip(restrict(u,v,w)))* -> member(ordered_pair(ordered_pair(x,y),identity_relation),u)*.
% 299.85/300.42  213992[17:Res:195388.1,40810.0] || subclass(domain_relation,flip(rest_of(ordered_pair(ordered_pair(u,v),identity_relation))))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.42  214000[17:Res:195388.1,168536.1] || subclass(domain_relation,flip(cross_product(universal_class,universal_class)))* equal(sum_class(range_of(ordered_pair(u,v))),identity_relation)** -> .
% 299.85/300.42  214295[5:Rew:118447.0,214256.1,118447.0,214256.0] || member(not_subclass_element(complement(union(u,identity_relation)),v),u)* -> subclass(complement(union(u,identity_relation)),v).
% 299.85/300.42  214469[17:SpL:210378.1,801.0] one_to_one(u) || member(singleton(singleton(identity_relation)),cross_product(v,w))* -> member(inverse(u),w)*.
% 299.85/300.42  214748[5:Res:118490.1,3924.0] || member(u,complement(v))* subclass(symmetric_difference(universal_class,v),w)* well_ordering(universal_class,w) -> .
% 299.85/300.42  214811[5:Res:144786.1,3924.0] || equal(symmetric_difference(universal_class,u),universal_class) subclass(complement(u),v)* well_ordering(universal_class,v) -> .
% 299.85/300.42  214834[14:Res:178692.1,3924.0] || equal(symmetric_difference(universal_class,u),omega) subclass(complement(u),v)* well_ordering(universal_class,v) -> .
% 299.85/300.42  214843[7:Res:167393.0,3924.0] || subclass(symmetric_difference(universal_class,u),v)* well_ordering(universal_class,v) -> member(identity_relation,union(u,identity_relation))*.
% 299.85/300.42  214853[14:Res:178685.1,3924.0] || equal(cantor(inverse(u)),omega) subclass(range_of(u),v)* well_ordering(universal_class,v) -> .
% 299.85/300.42  214988[4:Res:212361.1,8157.0] || subclass(omega,symmetric_difference(complement(u),complement(v))) -> member(least(element_relation,omega),union(u,v))*.
% 299.85/300.42  215071[0:Res:783.1,119659.0] || subclass(ordered_pair(u,v),symmetric_difference(universal_class,w))* member(unordered_pair(u,singleton(v)),w) -> .
% 299.85/300.42  215072[0:Res:783.1,119626.0] || subclass(ordered_pair(u,v),symmetric_difference(universal_class,w)) -> member(unordered_pair(u,singleton(v)),complement(w))*.
% 299.85/300.42  215137[20:Res:212523.1,8157.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v))) -> member(regular(symmetrization_of(identity_relation)),union(u,v))*.
% 299.85/300.42  215245[4:Res:212539.1,8157.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v))) -> member(least(element_relation,omega),union(u,v))*.
% 299.85/300.42  215816[20:MRR:215769.1,212353.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) -> member(ordered_pair(regular(symmetrization_of(identity_relation)),identity_relation),u)*.
% 299.85/300.42  215870[17:MRR:215827.1,212362.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) -> member(ordered_pair(least(element_relation,omega),identity_relation),u)*.
% 299.85/300.42  216193[5:Res:205098.1,23342.0] || equal(identity_relation,u) subclass(rest_relation,successor_relation) -> equal(rest_of(power_class(u)),successor(power_class(u)))**.
% 299.85/300.42  216248[11:Res:207942.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(regular(complement(power_class(identity_relation)))),successor(regular(complement(power_class(identity_relation)))))**.
% 299.85/300.42  216249[10:Res:208126.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(regular(complement(power_class(universal_class)))),successor(regular(complement(power_class(universal_class)))))**.
% 299.85/300.42  216250[9:Res:207784.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(regular(complement(symmetrization_of(identity_relation)))),successor(regular(complement(symmetrization_of(identity_relation)))))**.
% 299.85/300.42  216549[5:SpR:168166.1,8659.0] || equal(complement(complement(inverse(u))),universal_class) -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(identity_relation))**.
% 299.85/300.42  216564[5:Rew:119684.0,216521.1] || equal(inverse(u),identity_relation) -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(symmetric_difference(universal_class,u)))**.
% 299.85/300.42  216696[5:Rew:119684.0,216651.1] || equal(singleton(u),identity_relation) -> equal(complement(image(element_relation,successor(u))),power_class(symmetric_difference(universal_class,u)))**.
% 299.85/300.42  216702[17:Rew:119684.0,216649.1,22454.0,216649.1] one_to_one(u) ||  -> equal(complement(image(element_relation,successor(inverse(u)))),power_class(symmetric_difference(universal_class,inverse(u))))**.
% 299.85/300.42  217186[17:MRR:217130.3,5188.0] || well_ordering(u,universal_class) member(v,universal_class)* subclass(rest_relation,rest_of(least(u,rest_relation)))* -> .
% 299.85/300.42  217187[17:MRR:217131.3,5188.0] || well_ordering(u,rest_relation) member(v,universal_class)* subclass(rest_relation,rest_of(least(u,rest_relation)))* -> .
% 299.85/300.42  217188[17:MRR:217132.3,5188.0] || well_ordering(u,universal_class) member(v,universal_class)* subclass(rest_relation,rest_of(least(u,universal_class)))* -> .
% 299.85/300.42  217385[5:SpL:120682.0,203726.0] || equal(complement(segment(universal_class,u,v)),identity_relation) -> equal(cantor(cross_product(u,singleton(v))),universal_class)**.
% 299.85/300.42  217483[7:SpR:189471.0,203760.1] || equal(union(image(element_relation,singleton(identity_relation)),identity_relation),identity_relation)** -> member(identity_relation,power_class(complement(singleton(identity_relation)))).
% 299.85/300.42  217485[5:SpR:122494.0,203760.1] || equal(union(image(element_relation,symmetrization_of(identity_relation)),identity_relation),identity_relation)** -> member(identity_relation,power_class(complement(inverse(identity_relation)))).
% 299.85/300.42  217489[5:Res:203760.1,3924.0] || equal(union(u,identity_relation),identity_relation) subclass(complement(u),v)* well_ordering(universal_class,v) -> .
% 299.85/300.42  217556[7:SpR:189471.0,203762.1] || equal(union(image(element_relation,singleton(identity_relation)),identity_relation),identity_relation)** -> member(omega,power_class(complement(singleton(identity_relation)))).
% 299.85/300.42  217558[5:SpR:122494.0,203762.1] || equal(union(image(element_relation,symmetrization_of(identity_relation)),identity_relation),identity_relation)** -> member(omega,power_class(complement(inverse(identity_relation)))).
% 299.85/300.42  217623[7:SpR:122711.0,167376.1] ||  -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))* member(identity_relation,union(u,symmetric_difference(universal_class,v))).
% 299.85/300.42  217654[17:SpR:209751.1,122711.0] function(u) ||  -> equal(complement(intersection(complement(v),successor(u))),union(v,symmetric_difference(universal_class,u)))**.
% 299.85/300.42  217666[7:SpR:189445.0,122711.0] ||  -> equal(union(complement(singleton(identity_relation)),symmetric_difference(universal_class,u)),complement(intersection(singleton(identity_relation),union(u,identity_relation))))**.
% 299.85/300.42  217667[5:SpR:124149.0,122711.0] ||  -> equal(union(complement(inverse(identity_relation)),symmetric_difference(universal_class,u)),complement(intersection(symmetrization_of(identity_relation),union(u,identity_relation))))**.
% 299.85/300.42  217878[7:SpL:189445.0,5360.0] || subclass(omega,singleton(identity_relation)) member(u,complement(singleton(identity_relation)))* -> equal(integer_of(u),identity_relation).
% 299.85/300.42  218044[5:MRR:218023.2,204344.1] || member(regular(regular(symmetric_difference(universal_class,u))),complement(u))* -> equal(regular(symmetric_difference(universal_class,u)),identity_relation).
% 299.85/300.42  218082[5:Res:943.1,205293.1] || member(power_class(identity_relation),symmetric_difference(u,v)) subclass(universal_class,complement(complement(intersection(u,v))))* -> .
% 299.85/300.42  218220[7:SpR:122708.0,167376.1] ||  -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))* member(identity_relation,union(symmetric_difference(universal_class,u),v)).
% 299.85/300.42  218253[7:SpR:189445.0,122708.0] ||  -> equal(union(symmetric_difference(universal_class,u),complement(singleton(identity_relation))),complement(intersection(union(u,identity_relation),singleton(identity_relation))))**.
% 299.85/300.42  218254[5:SpR:124149.0,122708.0] ||  -> equal(union(symmetric_difference(universal_class,u),complement(inverse(identity_relation))),complement(intersection(union(u,identity_relation),symmetrization_of(identity_relation))))**.
% 299.85/300.42  218274[17:SpR:209751.1,122708.0] function(u) ||  -> equal(complement(intersection(successor(u),complement(v))),union(symmetric_difference(universal_class,u),v))**.
% 299.85/300.42  218378[5:Rew:22914.0,218255.1] || equal(identity_relation,u) -> equal(union(symmetric_difference(universal_class,v),u),complement(symmetric_difference(complement(v),universal_class)))**.
% 299.85/300.42  219269[7:SpL:189471.0,207228.0] || subclass(power_class(complement(singleton(identity_relation))),identity_relation) -> equal(symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))),identity_relation)**.
% 299.85/300.42  219271[5:SpL:122494.0,207228.0] || subclass(power_class(complement(inverse(identity_relation))),identity_relation) -> equal(symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))),identity_relation)**.
% 299.85/300.42  219517[17:Res:207952.1,195222.0] || equal(identity_relation,u) subclass(domain_relation,rest_relation) -> equal(rest_of(regular(complement(power_class(u)))),identity_relation)**.
% 299.85/300.42  219518[17:Res:207952.1,195221.0] || equal(identity_relation,u) subclass(rest_relation,domain_relation) -> equal(rest_of(regular(complement(power_class(u)))),identity_relation)**.
% 299.85/300.42  219572[11:Res:207964.1,8165.1] || subclass(universal_class,intersection(u,v)) member(regular(complement(power_class(identity_relation))),symmetric_difference(u,v))* -> .
% 299.85/300.42  219594[11:Res:207964.1,595.0] || subclass(universal_class,restrict(u,v,w))* -> member(regular(complement(power_class(identity_relation))),cross_product(v,w))*.
% 299.85/300.42  219598[11:Res:207964.1,5405.0] || subclass(universal_class,regular(u)) member(regular(complement(power_class(identity_relation))),u)* -> equal(u,identity_relation).
% 299.85/300.42  219724[10:Res:208146.1,8165.1] || subclass(universal_class,intersection(u,v)) member(regular(complement(power_class(universal_class))),symmetric_difference(u,v))* -> .
% 299.85/300.42  219746[10:Res:208146.1,595.0] || subclass(universal_class,restrict(u,v,w))* -> member(regular(complement(power_class(universal_class))),cross_product(v,w))*.
% 299.85/300.42  219750[10:Res:208146.1,5405.0] || subclass(universal_class,regular(u)) member(regular(complement(power_class(universal_class))),u)* -> equal(u,identity_relation).
% 299.85/300.42  219917[5:Obv:219877.1] || equal(intersection(singleton(u),v),complement(singleton(u)))** -> equal(intersection(singleton(u),v),identity_relation).
% 299.85/300.42  220038[5:Obv:219998.1] || equal(intersection(u,singleton(v)),complement(singleton(v)))** -> equal(intersection(u,singleton(v)),identity_relation).
% 299.85/300.42  220264[5:Rew:118447.0,220211.1] || member(regular(u),complement(v))* subclass(u,union(v,identity_relation)) -> equal(u,identity_relation).
% 299.85/300.42  220345[9:MRR:220331.2,201884.0] ||  -> subclass(singleton(regular(regular(complement(inverse(identity_relation))))),symmetrization_of(identity_relation))* equal(regular(complement(inverse(identity_relation))),identity_relation).
% 299.85/300.42  220385[5:Res:220369.1,5322.1] || member(regular(u),inverse(identity_relation))* subclass(u,complement(symmetrization_of(identity_relation))) -> equal(u,identity_relation).
% 299.85/300.42  220400[9:MRR:220376.2,203684.0] || member(apply(choice,complement(symmetrization_of(identity_relation))),inverse(identity_relation))* member(complement(symmetrization_of(identity_relation)),universal_class) -> .
% 299.85/300.42  220424[9:Res:207805.1,8165.1] || subclass(universal_class,intersection(u,v)) member(regular(complement(symmetrization_of(identity_relation))),symmetric_difference(u,v))* -> .
% 299.85/300.42  220446[9:Res:207805.1,595.0] || subclass(universal_class,restrict(u,v,w))* -> member(regular(complement(symmetrization_of(identity_relation))),cross_product(v,w))*.
% 299.85/300.42  220450[9:Res:207805.1,5405.0] || subclass(universal_class,regular(u)) member(regular(complement(symmetrization_of(identity_relation))),u)* -> equal(u,identity_relation).
% 299.85/300.42  220626[20:Res:212352.1,8165.1] || subclass(inverse(identity_relation),intersection(u,v)) member(regular(symmetrization_of(identity_relation)),symmetric_difference(u,v))* -> .
% 299.85/300.42  220649[20:Res:212352.1,595.0] || subclass(inverse(identity_relation),restrict(u,v,w))* -> member(regular(symmetrization_of(identity_relation)),cross_product(v,w))*.
% 299.85/300.42  220653[20:Res:212352.1,5405.0] || subclass(inverse(identity_relation),regular(u)) member(regular(symmetrization_of(identity_relation)),u)* -> equal(u,identity_relation).
% 299.85/300.42  220807[5:Res:27933.1,153534.1] || member(u,universal_class) equal(complement(union(v,w)),universal_class)** -> member(u,complement(v))*.
% 299.85/300.42  220879[17:MRR:220827.1,12.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) -> member(ordered_pair(unordered_pair(v,w),identity_relation),u)*.
% 299.85/300.42  220921[5:Res:27934.1,153534.1] || member(u,universal_class) equal(complement(union(v,w)),universal_class)** -> member(u,complement(w))*.
% 299.85/300.42  220995[17:MRR:220938.1,641.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) -> member(ordered_pair(ordered_pair(v,w),identity_relation),u)*.
% 299.85/300.42  221149[5:Res:201827.1,776.0] || subclass(complement(cantor(u)),identity_relation)* subclass(domain_of(u),v)* -> member(singleton(w),v)*.
% 299.85/300.42  221211[4:Res:212361.1,776.0] || subclass(omega,cantor(u)) subclass(domain_of(u),v)* -> member(least(element_relation,omega),v)*.
% 299.85/300.42  221421[20:Res:214397.1,8165.1] || subclass(symmetrization_of(identity_relation),intersection(u,v)) member(regular(symmetrization_of(identity_relation)),symmetric_difference(u,v))* -> .
% 299.85/300.42  221445[20:Res:214397.1,595.0] || subclass(symmetrization_of(identity_relation),restrict(u,v,w))* -> member(regular(symmetrization_of(identity_relation)),cross_product(v,w))*.
% 299.85/300.42  221449[20:Res:214397.1,5405.0] || subclass(symmetrization_of(identity_relation),regular(u)) member(regular(symmetrization_of(identity_relation)),u)* -> equal(u,identity_relation).
% 299.85/300.42  221701[15:SpR:9093.0,210176.1] one_to_one(restrict(cross_product(u,universal_class),v,w)) ||  -> equal(image(cross_product(v,w),u),universal_class)**.
% 299.85/300.42  222280[5:Res:366.1,222174.0] ||  -> subclass(intersection(symmetrization_of(identity_relation),u),v) member(not_subclass_element(intersection(symmetrization_of(identity_relation),u),v),inverse(identity_relation))*.
% 299.85/300.42  222292[17:Res:195177.2,222174.0] || member(u,universal_class) subclass(domain_relation,symmetrization_of(identity_relation)) -> member(ordered_pair(u,identity_relation),inverse(identity_relation))*.
% 299.85/300.42  222295[5:Res:356.1,222174.0] ||  -> subclass(intersection(u,symmetrization_of(identity_relation)),v) member(not_subclass_element(intersection(u,symmetrization_of(identity_relation)),v),inverse(identity_relation))*.
% 299.85/300.42  222329[5:Res:29726.0,222174.0] ||  -> subclass(complement(complement(symmetrization_of(identity_relation))),u) member(not_subclass_element(complement(complement(symmetrization_of(identity_relation))),u),inverse(identity_relation))*.
% 299.85/300.42  222378[5:SpR:222089.0,122708.0] ||  -> equal(union(symmetric_difference(universal_class,u),complement(union(u,identity_relation))),complement(complement(complement(union(u,identity_relation)))))**.
% 299.85/300.42  222385[0:SpR:27.0,222089.0] ||  -> equal(intersection(intersection(complement(u),complement(v)),complement(union(u,v))),complement(union(u,v)))**.
% 299.85/300.42  222714[5:Res:5294.1,222432.0] ||  -> equal(intersection(complement(complement(u)),v),identity_relation) member(regular(intersection(complement(complement(u)),v)),u)*.
% 299.85/300.42  222723[17:Res:195177.2,222432.0] || member(u,universal_class) subclass(domain_relation,complement(complement(v))) -> member(ordered_pair(u,identity_relation),v)*.
% 299.85/300.42  222728[5:Res:5295.1,222432.0] ||  -> equal(intersection(u,complement(complement(v))),identity_relation) member(regular(intersection(u,complement(complement(v)))),v)*.
% 299.85/300.42  222743[5:Res:29628.0,222432.0] ||  -> equal(complement(complement(complement(complement(u)))),identity_relation) member(regular(complement(complement(complement(complement(u))))),u)*.
% 299.85/300.42  223060[5:SpL:27.0,218119.0] || subclass(universal_class,complement(union(u,v))) -> member(power_class(identity_relation),intersection(complement(u),complement(v)))*.
% 299.85/300.42  223136[5:Res:223091.1,8157.0] || equal(complement(symmetric_difference(complement(u),complement(v))),identity_relation)** -> member(power_class(identity_relation),union(u,v)).
% 299.85/300.42  224281[5:SpL:27.0,219310.0] || subclass(union(u,v),identity_relation) -> equal(complement(successor(intersection(complement(u),complement(v)))),identity_relation)**.
% 299.85/300.42  224294[7:SpL:189471.0,219310.0] || subclass(power_class(complement(singleton(identity_relation))),identity_relation) -> equal(complement(successor(image(element_relation,singleton(identity_relation)))),identity_relation)**.
% 299.85/300.42  224296[5:SpL:122494.0,219310.0] || subclass(power_class(complement(inverse(identity_relation))),identity_relation) -> equal(complement(successor(image(element_relation,symmetrization_of(identity_relation)))),identity_relation)**.
% 299.85/300.42  224335[5:SpL:27.0,219326.1] || equal(successor(intersection(complement(u),complement(v))),identity_relation)** subclass(union(u,v),identity_relation) -> .
% 299.85/300.42  224348[7:SpL:189471.0,219326.1] || equal(successor(image(element_relation,singleton(identity_relation))),identity_relation) subclass(power_class(complement(singleton(identity_relation))),identity_relation)* -> .
% 299.85/300.42  224350[5:SpL:122494.0,219326.1] || equal(successor(image(element_relation,symmetrization_of(identity_relation))),identity_relation) subclass(power_class(complement(inverse(identity_relation))),identity_relation)* -> .
% 299.85/300.42  224371[5:SpL:27.0,219370.0] || subclass(union(u,v),identity_relation) subclass(successor(intersection(complement(u),complement(v))),identity_relation)* -> .
% 299.85/300.42  224384[7:SpL:189471.0,219370.0] || subclass(power_class(complement(singleton(identity_relation))),identity_relation) subclass(successor(image(element_relation,singleton(identity_relation))),identity_relation)* -> .
% 299.85/300.42  224386[5:SpL:122494.0,219370.0] || subclass(power_class(complement(inverse(identity_relation))),identity_relation) subclass(successor(image(element_relation,symmetrization_of(identity_relation))),identity_relation)* -> .
% 299.85/300.42  224457[5:SpL:27.0,219414.0] || subclass(union(u,v),identity_relation) -> equal(complement(symmetrization_of(intersection(complement(u),complement(v)))),identity_relation)**.
% 299.85/300.42  224470[7:SpL:189471.0,219414.0] || subclass(power_class(complement(singleton(identity_relation))),identity_relation) -> equal(complement(symmetrization_of(image(element_relation,singleton(identity_relation)))),identity_relation)**.
% 299.85/300.42  224472[5:SpL:122494.0,219414.0] || subclass(power_class(complement(inverse(identity_relation))),identity_relation) -> equal(complement(symmetrization_of(image(element_relation,symmetrization_of(identity_relation)))),identity_relation)**.
% 299.85/300.42  224502[5:SpL:27.0,219429.1] || equal(symmetrization_of(intersection(complement(u),complement(v))),identity_relation)** subclass(union(u,v),identity_relation) -> .
% 299.85/300.42  224515[7:SpL:189471.0,219429.1] || equal(symmetrization_of(image(element_relation,singleton(identity_relation))),identity_relation) subclass(power_class(complement(singleton(identity_relation))),identity_relation)* -> .
% 299.85/300.42  224517[5:SpL:122494.0,219429.1] || equal(symmetrization_of(image(element_relation,symmetrization_of(identity_relation))),identity_relation) subclass(power_class(complement(inverse(identity_relation))),identity_relation)* -> .
% 299.85/300.42  224630[20:SpL:27.0,220259.1] || subclass(universal_class,intersection(complement(u),complement(v)))* subclass(symmetrization_of(identity_relation),union(u,v)) -> .
% 299.85/300.42  224643[20:SpL:189471.0,220259.1] || subclass(universal_class,image(element_relation,singleton(identity_relation))) subclass(symmetrization_of(identity_relation),power_class(complement(singleton(identity_relation))))* -> .
% 299.85/300.42  224645[20:SpL:122494.0,220259.1] || subclass(universal_class,image(element_relation,symmetrization_of(identity_relation))) subclass(symmetrization_of(identity_relation),power_class(complement(inverse(identity_relation))))* -> .
% 299.85/300.42  225107[5:SpL:27.0,222523.0] || equal(complement(complement(union(u,v))),identity_relation) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.85/300.42  225140[5:SpL:27.0,222635.0] || equal(complement(complement(union(u,v))),identity_relation) -> member(omega,intersection(complement(u),complement(v)))*.
% 299.85/300.42  225173[5:SpL:27.0,222741.0] || equal(union(union(u,v),identity_relation),identity_relation) -> member(omega,intersection(complement(u),complement(v)))*.
% 299.85/300.42  225186[7:SpL:189471.0,222741.0] || equal(union(power_class(complement(singleton(identity_relation))),identity_relation),identity_relation)** -> member(omega,image(element_relation,singleton(identity_relation))).
% 299.85/300.42  225188[5:SpL:122494.0,222741.0] || equal(union(power_class(complement(inverse(identity_relation))),identity_relation),identity_relation)** -> member(omega,image(element_relation,symmetrization_of(identity_relation))).
% 299.85/300.42  225221[5:SpL:27.0,222742.0] || equal(symmetric_difference(universal_class,union(u,v)),universal_class) -> member(omega,intersection(complement(u),complement(v)))*.
% 299.85/300.42  225234[7:SpL:189471.0,222742.0] || equal(symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))),universal_class)** -> member(omega,image(element_relation,singleton(identity_relation))).
% 299.85/300.42  225236[5:SpL:122494.0,222742.0] || equal(symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))),universal_class)** -> member(omega,image(element_relation,symmetrization_of(identity_relation))).
% 299.85/300.42  225249[5:SpL:27.0,222758.0] || equal(union(union(u,v),identity_relation),identity_relation) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.85/300.42  225262[7:SpL:189471.0,222758.0] || equal(union(power_class(complement(singleton(identity_relation))),identity_relation),identity_relation)** -> member(identity_relation,image(element_relation,singleton(identity_relation))).
% 299.85/300.42  225264[5:SpL:122494.0,222758.0] || equal(union(power_class(complement(inverse(identity_relation))),identity_relation),identity_relation)** -> member(identity_relation,image(element_relation,symmetrization_of(identity_relation))).
% 299.85/300.42  225279[14:SpL:27.0,222759.0] || equal(symmetric_difference(universal_class,union(u,v)),omega) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.85/300.42  225292[14:SpL:189471.0,222759.0] || equal(symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))),omega)** -> member(identity_relation,image(element_relation,singleton(identity_relation))).
% 299.85/300.42  225294[14:SpL:122494.0,222759.0] || equal(symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))),omega)** -> member(identity_relation,image(element_relation,symmetrization_of(identity_relation))).
% 299.85/300.42  225307[5:SpL:27.0,222760.0] || equal(symmetric_difference(universal_class,union(u,v)),universal_class) -> member(identity_relation,intersection(complement(u),complement(v)))*.
% 299.85/300.42  225320[7:SpL:189471.0,222760.0] || equal(symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))),universal_class)** -> member(identity_relation,image(element_relation,singleton(identity_relation))).
% 299.85/300.42  225322[5:SpL:122494.0,222760.0] || equal(symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))),universal_class)** -> member(identity_relation,image(element_relation,symmetrization_of(identity_relation))).
% 299.85/300.42  225451[5:Res:223085.1,595.0] || equal(complement(complement(restrict(u,v,w))),universal_class)** -> member(power_class(identity_relation),cross_product(v,w)).
% 299.85/300.42  225455[5:Res:223085.1,5405.0] || equal(complement(complement(regular(u))),universal_class)** member(power_class(identity_relation),u) -> equal(u,identity_relation).
% 299.85/300.42  225926[13:MRR:225916.2,203223.0] || member(apply(choice,regular(compose(element_relation,universal_class))),element_relation)* -> equal(regular(compose(element_relation,universal_class)),identity_relation).
% 299.85/300.42  226049[20:SpL:27.0,225873.1] || equal(intersection(complement(u),complement(v)),universal_class)** equal(union(u,v),symmetrization_of(identity_relation)) -> .
% 299.85/300.42  226294[0:Rew:23342.2,226273.2] || member(u,universal_class) subclass(rest_relation,successor_relation) -> equal(rest_of(successor(u)),successor(successor(u)))**.
% 299.85/300.42  226296[17:SoR:226276.0,4792.2] single_valued_class(rest_of(u)) || member(u,universal_class)* equal(cross_product(universal_class,universal_class),rest_of(u))* -> .
% 299.85/300.42  226616[5:Res:202851.1,7573.1] || equal(complement(intersection(u,v)),identity_relation)** member(w,universal_class) -> member(power_class(w),v)*.
% 299.85/300.42  226733[5:Res:202851.1,7572.1] || equal(complement(intersection(u,v)),identity_relation)** member(w,universal_class) -> member(power_class(w),u)*.
% 299.85/300.42  227095[0:Rew:40.0,227062.1] || member(not_subclass_element(complement(range_of(u)),v),cantor(inverse(u)))* -> subclass(complement(range_of(u)),v).
% 299.85/300.42  227207[0:Res:227090.0,8.0] || subclass(complement(cantor(u)),complement(domain_of(u)))* -> equal(complement(domain_of(u)),complement(cantor(u))).
% 299.85/300.42  227383[5:Res:8836.1,3924.0] || subclass(symmetrization_of(u),v)* well_ordering(universal_class,v) -> equal(symmetric_difference(u,inverse(u)),identity_relation)**.
% 299.85/300.42  227397[5:Obv:227390.1] || subclass(symmetric_difference(u,inverse(u)),complement(symmetrization_of(u)))* -> equal(symmetric_difference(u,inverse(u)),identity_relation).
% 299.85/300.42  227573[5:Rew:124149.0,227514.1,124149.0,227514.0] ||  -> subclass(singleton(regular(intersection(symmetrization_of(identity_relation),u))),symmetrization_of(identity_relation))* equal(intersection(symmetrization_of(identity_relation),u),identity_relation).
% 299.85/300.42  227575[5:Rew:22481.0,227530.1,22481.0,227530.0] ||  -> subclass(singleton(regular(intersection(power_class(identity_relation),u))),power_class(identity_relation))* equal(intersection(power_class(identity_relation),u),identity_relation).
% 299.85/300.42  227576[5:Rew:6805.0,227531.1,6805.0,227531.0] ||  -> subclass(singleton(regular(intersection(power_class(universal_class),u))),power_class(universal_class))* equal(intersection(power_class(universal_class),u),identity_relation).
% 299.85/300.42  228112[5:Rew:227958.0,214936.2] inductive(symmetric_difference(u,u)) || well_ordering(v,universal_class) member(least(v,identity_relation),u)* -> .
% 299.85/300.42  228114[5:Rew:227958.0,214937.2] inductive(symmetric_difference(u,u)) || well_ordering(v,universal_class) -> member(least(v,identity_relation),complement(u))*.
% 299.85/300.42  228259[5:Rew:227958.0,228111.1] inductive(symmetric_difference(u,u)) || well_ordering(v,identity_relation) member(least(v,identity_relation),u)* -> .
% 299.85/300.42  228260[5:Rew:227958.0,228113.1] inductive(symmetric_difference(u,u)) || well_ordering(v,identity_relation) -> member(least(v,identity_relation),complement(u))*.
% 299.85/300.42  228270[5:Rew:124149.0,227932.1,124149.0,227932.0] ||  -> subclass(singleton(regular(intersection(u,symmetrization_of(identity_relation)))),symmetrization_of(identity_relation))* equal(intersection(u,symmetrization_of(identity_relation)),identity_relation).
% 299.85/300.42  228272[5:Rew:22481.0,227948.1,22481.0,227948.0] ||  -> subclass(singleton(regular(intersection(u,power_class(identity_relation)))),power_class(identity_relation))* equal(intersection(u,power_class(identity_relation)),identity_relation).
% 299.85/300.42  228273[5:Rew:6805.0,227949.1,6805.0,227949.0] ||  -> subclass(singleton(regular(intersection(u,power_class(universal_class)))),power_class(universal_class))* equal(intersection(u,power_class(universal_class)),identity_relation).
% 299.85/300.42  228653[5:Res:8902.1,3924.0] || subclass(successor(u),v)* well_ordering(universal_class,v) -> equal(symmetric_difference(u,singleton(u)),identity_relation)**.
% 299.85/300.42  228671[5:Obv:228659.1] || subclass(symmetric_difference(u,singleton(u)),complement(successor(u)))* -> equal(symmetric_difference(u,singleton(u)),identity_relation).
% 299.85/300.42  228776[5:MRR:228739.2,203265.0] || subclass(universal_class,regular(inverse(singleton(unordered_pair(u,v)))))* -> asymmetric(singleton(unordered_pair(u,v)),w)*.
% 299.85/300.42  228882[5:Res:202851.1,7608.1] || equal(complement(intersection(u,v)),identity_relation)** member(w,universal_class) -> member(sum_class(w),v)*.
% 299.85/300.42  228968[5:Res:202851.1,7607.1] || equal(complement(intersection(u,v)),identity_relation)** member(w,universal_class) -> member(sum_class(w),u)*.
% 299.85/300.42  228997[5:SpR:122708.0,228130.0] ||  -> equal(symmetric_difference(intersection(union(u,identity_relation),complement(v)),complement(union(symmetric_difference(universal_class,u),v))),identity_relation)**.
% 299.85/300.42  228999[5:SpR:122711.0,228130.0] ||  -> equal(symmetric_difference(intersection(complement(u),union(v,identity_relation)),complement(union(u,symmetric_difference(universal_class,v)))),identity_relation)**.
% 299.85/300.42  229244[5:Obv:229224.0] || well_ordering(u,universal_class) -> equal(singleton(v),identity_relation) equal(segment(u,singleton(v),v),identity_relation)**.
% 299.85/300.42  229854[5:Obv:229808.1] || subclass(symmetric_difference(u,v),complement(complement(intersection(u,v))))* -> equal(symmetric_difference(u,v),identity_relation).
% 299.85/300.42  230121[13:MRR:230099.2,203223.0] || member(not_subclass_element(regular(compose(element_relation,universal_class)),u),element_relation)* -> subclass(regular(compose(element_relation,universal_class)),u).
% 299.85/300.42  230241[5:Res:202851.1,8385.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> member(unordered_pair(x,y),cross_product(v,w))*.
% 299.85/300.42  230283[5:SpL:2089.1,229090.0] || equal(complement(regular(not_subclass_element(cross_product(u,v),w))),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  230340[7:Rew:189445.0,230300.0] || subclass(u,singleton(identity_relation)) -> subclass(singleton(not_subclass_element(u,v)),singleton(identity_relation))* subclass(u,v).
% 299.85/300.42  230341[5:Rew:124149.0,230302.0] || subclass(u,symmetrization_of(identity_relation)) -> subclass(singleton(not_subclass_element(u,v)),symmetrization_of(identity_relation))* subclass(u,v).
% 299.85/300.42  230343[5:Rew:22481.0,230321.0] || subclass(u,power_class(identity_relation)) -> subclass(singleton(not_subclass_element(u,v)),power_class(identity_relation))* subclass(u,v).
% 299.85/300.42  230344[5:Rew:6805.0,230322.0] || subclass(u,power_class(universal_class)) -> subclass(singleton(not_subclass_element(u,v)),power_class(universal_class))* subclass(u,v).
% 299.85/300.42  230425[7:Res:230400.0,8.0] || subclass(singleton(identity_relation),regular(complement(singleton(identity_relation))))* -> equal(regular(complement(singleton(identity_relation))),singleton(identity_relation)).
% 299.85/300.42  230440[9:Res:230401.0,8.0] || subclass(symmetrization_of(identity_relation),regular(complement(inverse(identity_relation))))* -> equal(regular(complement(inverse(identity_relation))),symmetrization_of(identity_relation)).
% 299.85/300.42  230541[0:Obv:230485.1] || member(u,v) -> subclass(intersection(w,singleton(u)),intersection(v,intersection(w,singleton(u))))*.
% 299.85/300.42  230677[0:Obv:230615.1] || member(u,v) -> subclass(intersection(singleton(u),w),intersection(v,intersection(singleton(u),w)))*.
% 299.85/300.42  232813[5:Rew:27.0,232767.1] || subclass(intersection(complement(u),complement(v)),union(u,v))* -> subclass(universal_class,union(u,v)).
% 299.85/300.42  233068[5:SpL:2089.1,233044.0] || subclass(universal_class,regular(singleton(not_subclass_element(cross_product(u,v),w))))* -> subclass(cross_product(u,v),w).
% 299.85/300.42  233087[5:SpL:2089.1,233077.0] || equal(regular(singleton(not_subclass_element(cross_product(u,v),w))),universal_class)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  233147[5:SpL:5338.1,233078.0] || equal(complement(regular(singleton(regular(cross_product(u,v))))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.42  233340[5:Res:230404.0,8.0] || subclass(complement(singleton(u)),u)* -> equal(singleton(u),identity_relation) equal(complement(singleton(u)),u).
% 299.85/300.42  233383[5:Res:230404.0,28696.0] || well_ordering(u,complement(singleton(rest_relation)))* -> equal(singleton(rest_relation),identity_relation) member(least(u,rest_relation),rest_relation).
% 299.85/300.42  233465[5:SpR:233410.0,59.1] || member(ordered_pair(universal_class,u),compose(v,w))* -> member(u,image(v,image(w,identity_relation))).
% 299.85/300.42  233613[17:Rew:233494.0,210914.2] function(u) single_valued_class(sum_class(image(u,identity_relation))) || equal(apply(u,universal_class),identity_relation)** -> .
% 299.85/300.42  233644[15:Rew:233634.0,193910.0] || member(u,ordered_pair(v,universal_class))* -> equal(u,unordered_pair(v,identity_relation)) equal(u,singleton(v)).
% 299.85/300.42  233666[17:Rew:233634.0,218747.0] || member(ordered_pair(u,universal_class),cross_product(universal_class,universal_class))* member(sum_class(range_of(identity_relation)),domain_of(u)) -> .
% 299.85/300.42  233674[15:Rew:233634.0,217462.1] || subclass(omega,element_relation) -> equal(integer_of(ordered_pair(u,universal_class)),identity_relation) member(u,sum_class(range_of(identity_relation)))*.
% 299.85/300.42  233678[15:Rew:233676.0,193711.1] || member(u,universal_class) -> equal(segment(v,w,sum_class(range_of(u))),segment(v,w,universal_class))**.
% 299.85/300.42  233682[15:Rew:233676.0,200950.2] || equal(u,universal_class) -> inductive(u) equal(segment(v,w,universal_class),segment(v,w,u))*.
% 299.85/300.42  233713[15:Rew:233711.0,193717.1] || member(u,universal_class) -> equal(range__dfg(v,sum_class(range_of(u)),w),range__dfg(v,universal_class,w))**.
% 299.85/300.42  233717[15:Rew:233711.0,200958.2] || equal(u,universal_class) -> inductive(u) equal(range__dfg(v,universal_class,w),range__dfg(v,u,w))*.
% 299.85/300.42  233724[15:Rew:233722.0,193718.1] || member(u,universal_class) -> equal(domain__dfg(v,w,sum_class(range_of(u))),domain__dfg(v,w,universal_class))**.
% 299.85/300.42  233728[15:Rew:233722.0,200959.2] || equal(u,universal_class) -> inductive(u) equal(domain__dfg(v,w,universal_class),domain__dfg(v,w,u))*.
% 299.85/300.42  233750[15:Rew:233744.1,226392.2] || member(u,universal_class)* member(singleton(singleton(identity_relation)),compose_class(v))* -> equal(range_of(u),universal_class).
% 299.85/300.42  233751[17:Rew:233744.1,226394.2] || member(singleton(singleton(identity_relation)),compose_class(u))* -> equal(range_of(v),identity_relation)** equal(inverse(v),universal_class).
% 299.85/300.42  233934[5:Res:201827.1,28903.1] || subclass(complement(u),identity_relation) member(u,universal_class) -> member(singleton(singleton(singleton(u))),element_relation)*.
% 299.85/300.42  234161[17:Res:5213.0,195186.2] || member(u,universal_class) subclass(domain_relation,complement(omega)) -> equal(integer_of(ordered_pair(u,identity_relation)),identity_relation)**.
% 299.85/300.42  234216[17:MRR:234181.2,29469.1] || member(identity_relation,u) member(v,w)* subclass(domain_relation,complement(cross_product(w,u)))* -> .
% 299.85/300.42  234364[0:Res:7.1,20346.1] || equal(singleton(u),rest_relation)** member(v,universal_class) -> equal(ordered_pair(v,rest_of(v)),u)*.
% 299.85/300.42  234416[17:Rew:234407.1,234415.2] one_to_one(u) || member(ordered_pair(v,singleton(singleton(identity_relation))),composition_function)* -> equal(inverse(u),universal_class)**.
% 299.85/300.42  234453[5:SpR:233433.0,17.2] || member(universal_class,u) member(identity_relation,v) -> member(singleton(singleton(identity_relation)),cross_product(v,u))*.
% 299.85/300.42  234538[0:Res:7.1,20372.1] || equal(compose_class(u),rest_relation) member(v,universal_class) -> equal(compose(u,v),rest_of(v))**.
% 299.85/300.42  234644[17:Rew:234525.1,234643.2] || member(singleton(singleton(identity_relation)),rest_of(u))* -> equal(range_of(v),identity_relation)** equal(inverse(v),universal_class).
% 299.85/300.42  234646[15:Rew:234525.1,234645.2] || member(u,universal_class)* member(singleton(singleton(identity_relation)),rest_of(v))* -> equal(range_of(u),universal_class).
% 299.85/300.42  234719[5:Res:7.1,5558.0] || equal(rest_of(u),omega) -> equal(integer_of(ordered_pair(v,w)),identity_relation)** member(v,domain_of(u))*.
% 299.85/300.42  234893[5:Res:26595.1,29473.0] || member(u,universal_class) -> equal(apply(v,u),sum_class(range_of(identity_relation))) member(u,cantor(v))*.
% 299.85/300.42  234894[5:Res:26595.1,208585.0] || member(u,universal_class) subclass(element_relation,identity_relation) -> equal(apply(u,u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234930[17:MRR:234848.2,5188.0] || member(u,universal_class) -> equal(singleton(v),identity_relation) equal(apply(v,u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234931[17:MRR:234849.2,5188.0] || member(u,universal_class) -> equal(integer_of(v),identity_relation) equal(apply(v,u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234932[17:MRR:234864.2,5188.0] || member(u,universal_class) -> equal(v,identity_relation) equal(apply(regular(v),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234950[5:MRR:234882.0,12.0] || subclass(universal_class,complement(domain_of(u))) -> equal(apply(u,unordered_pair(v,w)),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234952[5:MRR:234883.0,29542.1] ||  -> equal(apply(u,regular(complement(domain_of(u)))),sum_class(range_of(identity_relation)))** equal(complement(domain_of(u)),identity_relation).
% 299.85/300.42  235101[5:SpL:2089.1,233420.0] || well_ordering(universal_class,complement(singleton(not_subclass_element(cross_product(u,v),w))))* -> subclass(cross_product(u,v),w).
% 299.85/300.42  235114[5:SpR:233494.0,765.2] || member(image(u,identity_relation),universal_class) subclass(universal_class,v) -> member(apply(u,universal_class),v)*.
% 299.85/300.42  235133[5:SpR:26481.1,233494.0] ||  -> equal(cross_product(identity_relation,universal_class),identity_relation) equal(apply(regular(cross_product(identity_relation,universal_class)),universal_class),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  235159[5:Rew:233494.0,235109.0] || equal(apply(u,universal_class),image(u,identity_relation)) -> subclass(apply(u,universal_class),image(u,identity_relation))*.
% 299.85/300.42  235278[15:SpR:233634.0,5543.1] || subclass(omega,successor_relation) -> equal(integer_of(ordered_pair(u,universal_class)),identity_relation)** equal(successor(u),range_of(identity_relation)).
% 299.85/300.42  235279[15:SpR:233634.0,5542.1] || subclass(omega,rest_relation) -> equal(integer_of(ordered_pair(u,universal_class)),identity_relation)** equal(rest_of(u),range_of(identity_relation)).
% 299.85/300.42  235280[15:SpR:233634.0,5541.1] || subclass(omega,domain_relation) -> equal(integer_of(ordered_pair(u,universal_class)),identity_relation)** equal(domain_of(u),range_of(identity_relation)).
% 299.85/300.42  235330[15:SpL:233634.0,168536.1] || equal(sum_class(range_of(u)),range_of(identity_relation)) member(ordered_pair(u,universal_class),cross_product(universal_class,universal_class))* -> .
% 299.85/300.42  235438[17:SpL:22519.0,195185.1] || member(u,universal_class) subclass(domain_relation,cantor(v)) -> member(ordered_pair(u,identity_relation),domain_of(v))*.
% 299.85/300.42  235475[17:Res:7.1,195185.1] || equal(intersection(u,v),domain_relation)** member(w,universal_class) -> member(ordered_pair(w,identity_relation),u)*.
% 299.85/300.42  235595[17:Res:7.1,195193.1] || equal(intersection(u,v),domain_relation)** member(w,universal_class) -> member(ordered_pair(w,identity_relation),v)*.
% 299.85/300.42  235631[5:SpR:233433.0,20387.1] || subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(universal_class,rest_of(singleton(singleton(identity_relation)))),identity_relation),u)*.
% 299.85/300.42  235694[0:Res:20387.1,142.0] || subclass(rest_relation,rotate(rest_of(u))) -> member(ordered_pair(v,rest_of(ordered_pair(w,v))),domain_of(u))*.
% 299.85/300.42  235695[0:Res:20387.1,15.0] || subclass(rest_relation,rotate(cross_product(u,v)))* -> member(ordered_pair(w,rest_of(ordered_pair(x,w))),u)*.
% 299.85/300.42  235742[5:SpR:233433.0,20388.1] || subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(universal_class,identity_relation),rest_of(singleton(singleton(identity_relation)))),u)*.
% 299.85/300.42  235751[5:SpR:233433.0,20388.1] || subclass(rest_relation,flip(u)) -> member(ordered_pair(singleton(singleton(identity_relation)),rest_of(ordered_pair(universal_class,identity_relation))),u)*.
% 299.85/300.42  235854[0:Res:7.1,7574.1] || equal(restrict(u,v,w),universal_class)** member(x,universal_class) -> member(power_class(x),u)*.
% 299.85/300.42  236013[5:Res:7.1,5465.0] || equal(u,omega) subclass(u,v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.42  236062[0:Res:7.1,7609.1] || equal(restrict(u,v,w),universal_class)** member(x,universal_class) -> member(sum_class(x),u)*.
% 299.85/300.42  236329[17:Res:195177.2,233419.0] || member(u,universal_class) subclass(domain_relation,singleton(omega)) -> equal(integer_of(ordered_pair(u,identity_relation)),identity_relation)**.
% 299.85/300.42  236459[5:Res:5213.0,8214.0] ||  -> equal(integer_of(not_subclass_element(intersection(u,complement(omega)),v)),identity_relation)** subclass(intersection(u,complement(omega)),v).
% 299.85/300.42  236551[5:SpR:233485.0,146067.0] ||  -> subclass(symmetric_difference(segment(universal_class,u,universal_class),cantor(cross_product(u,identity_relation))),complement(cantor(cross_product(u,identity_relation))))*.
% 299.85/300.42  236844[5:Res:5213.0,8308.0] ||  -> equal(integer_of(not_subclass_element(intersection(complement(omega),u),v)),identity_relation)** subclass(intersection(complement(omega),u),v).
% 299.85/300.42  236892[5:Rew:203699.1,236891.2] || equal(complement(complement(u)),identity_relation) member(not_subclass_element(universal_class,v),u)* -> subclass(universal_class,v).
% 299.85/300.42  236912[0:Rew:160.0,236814.1] || member(not_subclass_element(symmetric_difference(u,v),w),intersection(u,v))* -> subclass(symmetric_difference(u,v),w).
% 299.85/300.42  237001[5:SpL:5338.1,235499.0] || subclass(universal_class,complement(complement(singleton(regular(cross_product(u,v))))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.42  237174[5:Obv:237138.2] || equal(u,v) equal(complement(singleton(v)),universal_class) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.85/300.42  237175[5:Obv:237129.1] || equal(u,v) -> subclass(v,complement(unordered_pair(v,u)))* equal(unordered_pair(v,u),identity_relation).
% 299.85/300.42  237200[5:SpL:5338.1,232830.0] || subclass(universal_class,regular(unordered_pair(u,regular(cross_product(v,w)))))* -> equal(cross_product(v,w),identity_relation).
% 299.85/300.42  237227[5:SpL:5338.1,233155.0] || subclass(universal_class,regular(unordered_pair(regular(cross_product(u,v)),w)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.42  239241[5:Rew:118446.0,239142.0,22454.0,239142.0] ||  -> equal(symmetric_difference(complement(range_of(u)),cantor(inverse(u))),union(complement(range_of(u)),cantor(inverse(u))))**.
% 299.85/300.42  239246[5:Rew:238308.0,239207.1] || member(not_subclass_element(cantor(inverse(u)),identity_relation),complement(range_of(u)))* -> subclass(cantor(inverse(u)),identity_relation).
% 299.85/300.42  239403[5:Rew:118446.0,239255.0,22454.0,239255.0] ||  -> equal(symmetric_difference(complement(complement(u)),symmetric_difference(universal_class,u)),union(complement(complement(u)),symmetric_difference(universal_class,u)))**.
% 299.85/300.42  239408[5:Rew:238317.0,239350.1] || member(not_subclass_element(symmetric_difference(universal_class,u),identity_relation),complement(complement(u)))* -> subclass(symmetric_difference(universal_class,u),identity_relation).
% 299.85/300.42  240517[7:Rew:118446.0,240430.0,22454.0,240430.0] ||  -> equal(symmetric_difference(singleton(identity_relation),symmetric_difference(universal_class,singleton(identity_relation))),union(singleton(identity_relation),symmetric_difference(universal_class,singleton(identity_relation))))**.
% 299.85/300.42  240614[5:Rew:118446.0,240532.0,22454.0,240532.0] ||  -> equal(symmetric_difference(symmetrization_of(identity_relation),symmetric_difference(universal_class,inverse(identity_relation))),union(symmetrization_of(identity_relation),symmetric_difference(universal_class,inverse(identity_relation))))**.
% 299.85/300.42  240828[5:Rew:118446.0,240727.0,22454.0,240727.0] ||  -> equal(symmetric_difference(cantor(inverse(u)),complement(range_of(u))),union(cantor(inverse(u)),complement(range_of(u))))**.
% 299.85/300.42  241180[5:Rew:118446.0,241024.0,22454.0,241024.0] ||  -> equal(symmetric_difference(symmetric_difference(universal_class,u),complement(complement(u))),union(symmetric_difference(universal_class,u),complement(complement(u))))**.
% 299.85/300.42  241186[5:Rew:239951.0,241123.1] || member(not_subclass_element(complement(complement(u)),identity_relation),symmetric_difference(universal_class,u))* -> subclass(complement(complement(u)),identity_relation).
% 299.85/300.42  241284[7:Rew:118446.0,241195.0,22454.0,241195.0] ||  -> equal(symmetric_difference(symmetric_difference(universal_class,singleton(identity_relation)),singleton(identity_relation)),union(symmetric_difference(universal_class,singleton(identity_relation)),singleton(identity_relation)))**.
% 299.85/300.42  241379[5:Obv:241349.1] || subclass(complement(union(u,v)),symmetric_difference(u,v))* -> equal(complement(union(u,v)),identity_relation).
% 299.85/300.42  241432[5:Res:141.0,5316.0] || subclass(cross_product(universal_class,universal_class),u) -> equal(rest_of(v),identity_relation) member(regular(rest_of(v)),u)*.
% 299.85/300.42  241433[5:Res:93.0,5316.0] || subclass(cross_product(universal_class,universal_class),u) -> equal(compose_class(v),identity_relation) member(regular(compose_class(v)),u)*.
% 299.85/300.42  241444[5:Res:7.1,5316.0] || equal(u,v)* subclass(u,w)* -> equal(v,identity_relation) member(regular(v),w)*.
% 299.85/300.42  241556[5:Rew:5253.1,241535.3] || subclass(complement(u),v)* -> member(w,u)* equal(singleton(w),identity_relation) member(w,v)*.
% 299.85/300.42  241675[5:Rew:118446.0,241592.0,22454.0,241592.0] ||  -> equal(symmetric_difference(symmetric_difference(universal_class,inverse(identity_relation)),symmetrization_of(identity_relation)),union(symmetric_difference(universal_class,inverse(identity_relation)),symmetrization_of(identity_relation)))**.
% 299.85/300.42  241962[5:SpL:5338.1,237209.0] || equal(regular(unordered_pair(u,regular(cross_product(v,w)))),universal_class)** -> equal(cross_product(v,w),identity_relation).
% 299.85/300.42  241976[5:SpL:5338.1,237236.0] || equal(regular(unordered_pair(regular(cross_product(u,v)),w)),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.42  242225[17:Res:195177.2,242117.0] || member(u,universal_class) subclass(domain_relation,domain_of(complement(cross_product(singleton(ordered_pair(u,identity_relation)),universal_class))))* -> .
% 299.85/300.42  242514[5:SpR:9097.0,8346.0] ||  -> subclass(cantor(restrict(cross_product(u,singleton(v)),w,x)),segment(cross_product(w,x),u,v))*.
% 299.85/300.42  242538[0:SpR:9097.0,123.0] ||  -> equal(segment(cross_product(u,singleton(v)),w,x),segment(cross_product(w,singleton(x)),u,v))*.
% 299.85/300.42  242706[0:Res:7.1,8435.0] || equal(restrict(u,v,w),x)* -> subclass(x,y) member(not_subclass_element(x,y),u)*.
% 299.85/300.42  243652[21:Rew:22454.0,243651.1] inductive(inverse(subset_relation)) || well_ordering(u,universal_class) -> member(least(u,inverse(identity_relation)),inverse(identity_relation))*.
% 299.85/300.42  244099[17:Res:195177.2,242218.0] || member(u,universal_class) subclass(domain_relation,cantor(complement(cross_product(singleton(ordered_pair(u,identity_relation)),universal_class))))* -> .
% 299.85/300.42  244254[5:Rew:118446.0,244134.0,22454.0,244134.0] ||  -> equal(symmetric_difference(complement(u),restrict(u,v,w)),union(complement(u),restrict(u,v,w)))**.
% 299.85/300.42  244389[5:Rew:118446.0,244270.0,22454.0,244270.0] ||  -> equal(symmetric_difference(restrict(u,v,w),complement(u)),union(restrict(u,v,w),complement(u)))**.
% 299.85/300.42  244452[15:SpR:231701.0,145868.1] || subclass(symmetric_difference(universal_class,range_of(identity_relation)),successor(range_of(identity_relation)))* -> equal(symmetric_difference(universal_class,range_of(identity_relation)),identity_relation).
% 299.85/300.42  244626[21:Res:144714.1,243787.1] || equal(complement(compose(complement(element_relation),inverse(element_relation))),universal_class)** member(omega,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244627[21:Res:761.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(omega,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244680[21:Res:178680.1,243787.1] || equal(complement(compose(complement(element_relation),inverse(element_relation))),omega)** member(identity_relation,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244681[21:Res:178018.1,243787.1] || subclass(omega,complement(compose(complement(element_relation),inverse(element_relation))))* member(identity_relation,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244683[21:Res:119647.1,243787.1] || equal(complement(compose(complement(element_relation),inverse(element_relation))),universal_class)** member(identity_relation,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244684[21:Res:5196.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(identity_relation,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  245365[15:SoR:245360.0,4792.2] single_valued_class(complement(cross_product(identity_relation,universal_class))) || equal(complement(cross_product(identity_relation,universal_class)),cross_product(universal_class,universal_class))** -> .
% 299.85/300.42  245849[0:Res:30217.2,816.1] || member(u,universal_class) equal(successor(singleton(u)),u)** subclass(universal_class,complement(successor_relation))* -> .
% 299.85/300.42  245860[5:Res:30217.2,153534.1] || member(u,universal_class) equal(successor(singleton(u)),u)** equal(complement(successor_relation),universal_class) -> .
% 299.85/300.42  245912[5:Res:52.1,7551.0] inductive(image(element_relation,complement(u))) || member(v,power_class(u))* -> equal(integer_of(v),identity_relation).
% 299.85/300.42  247253[0:SpL:21037.0,1003.0] || subclass(universal_class,symmetric_difference(complement(u),complement(singleton(u))))* -> member(unordered_pair(v,w),successor(u))*.
% 299.85/300.42  247308[5:Rew:22457.0,247210.2,22454.0,247210.2] || equal(u,universal_class) -> inductive(u) equal(intersection(successor(u),universal_class),symmetric_difference(complement(u),universal_class))**.
% 299.85/300.42  247309[17:Rew:22457.0,247216.1,22454.0,247216.1] ||  -> equal(range_of(u),identity_relation) equal(intersection(successor(inverse(u)),universal_class),symmetric_difference(complement(inverse(u)),universal_class))**.
% 299.85/300.42  247310[12:Rew:22457.0,247212.1,22454.0,247212.1] || member(u,universal_class) -> equal(intersection(successor(range_of(u)),universal_class),symmetric_difference(complement(range_of(u)),universal_class))**.
% 299.85/300.42  247920[5:MRR:247853.1,5265.0] || equal(domain_relation,rest_relation) subclass(rest_relation,complement(u)) member(ordered_pair(identity_relation,identity_relation),u)* -> .
% 299.85/300.42  247921[17:MRR:247854.1,53.0] || equal(domain_relation,rest_relation) subclass(rest_relation,complement(u)) member(ordered_pair(omega,identity_relation),u)* -> .
% 299.85/300.42  247945[0:MRR:247944.0,226257.1] || equal(rest_of(u),successor(u)) member(u,universal_class)* subclass(rest_relation,complement(successor_relation))* -> .
% 299.85/300.42  248302[0:SpR:20365.2,119609.0] || member(u,universal_class) subclass(rest_relation,rest_of(universal_class))* -> equal(cross_product(u,universal_class),rest_of(u))**.
% 299.85/300.42  248311[0:SpR:20365.2,8246.0] || member(u,universal_class) subclass(rest_relation,rest_of(v))* -> subclass(rest_of(u),cross_product(u,universal_class))*.
% 299.85/300.42  248322[0:SpR:20365.2,45887.0] || member(u,universal_class) subclass(rest_relation,rest_of(cantor(v))) -> subclass(rest_of(u),domain_of(v))*.
% 299.85/300.42  248543[0:SpL:21036.0,1003.0] || subclass(universal_class,symmetric_difference(complement(u),complement(inverse(u))))* -> member(unordered_pair(v,w),symmetrization_of(u))*.
% 299.85/300.42  248730[5:Res:24180.2,153534.1] || member(u,universal_class)* equal(rest_of(u),successor(u)) equal(complement(successor_relation),universal_class) -> .
% 299.85/300.42  248848[5:Res:52.1,125910.0] inductive(regular(u)) || member(v,u)* -> equal(integer_of(v),identity_relation) equal(u,identity_relation).
% 299.85/300.42  248874[5:Res:176.0,120713.0] ||  -> member(singleton(u),image(universal_class,singleton(singleton(u))))* asymmetric(cross_product(singleton(singleton(u)),universal_class),v)*.
% 299.85/300.42  248879[5:Res:205135.0,120713.0] ||  -> member(power_class(identity_relation),image(universal_class,singleton(power_class(identity_relation))))* asymmetric(cross_product(singleton(power_class(identity_relation)),universal_class),u)*.
% 299.85/300.42  249286[0:Rew:249197.0,86294.0] ||  -> subclass(complement(union(u,image(element_relation,power_class(v)))),intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.42  249293[5:Rew:249197.0,246630.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),union(u,image(element_relation,power_class(v))))** -> .
% 299.85/300.42  249453[5:Rew:249197.0,246644.1] || equal(union(u,image(element_relation,power_class(v))),identity_relation)** -> member(identity_relation,power_class(complement(power_class(v)))).
% 299.85/300.42  249595[5:Rew:249197.0,246219.1] || equal(union(image(element_relation,power_class(u)),v),identity_relation)** -> member(identity_relation,power_class(complement(power_class(u)))).
% 299.85/300.42  249596[14:Rew:249197.0,191281.1] || equal(symmetric_difference(universal_class,image(element_relation,power_class(u))),omega)** -> member(identity_relation,power_class(complement(power_class(u)))).
% 299.85/300.42  249597[5:Rew:249197.0,179986.1] || equal(symmetric_difference(universal_class,image(element_relation,power_class(u))),universal_class)** -> member(identity_relation,power_class(complement(power_class(u)))).
% 299.85/300.42  249604[14:Rew:249197.0,191265.1] || equal(image(element_relation,power_class(u)),singleton(identity_relation))** equal(power_class(complement(power_class(u))),omega) -> .
% 299.85/300.42  249642[5:Rew:249197.0,234068.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(power_class(identity_relation),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249643[0:Rew:249197.0,234054.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(singleton(v),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249646[5:Rew:249197.0,150385.0] || subclass(universal_class,power_class(complement(power_class(u)))) -> equal(symmetric_difference(universal_class,image(element_relation,power_class(u))),universal_class)**.
% 299.85/300.42  249660[0:Rew:249197.0,86305.0] ||  -> subclass(complement(union(image(element_relation,power_class(u)),v)),intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.42  249667[5:Rew:249197.0,246204.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),union(image(element_relation,power_class(u)),v))** -> .
% 299.85/300.42  249769[5:Rew:249197.0,217555.1] || equal(union(image(element_relation,power_class(u)),identity_relation),identity_relation)** -> member(omega,power_class(complement(power_class(u)))).
% 299.85/300.42  249771[5:Rew:249197.0,150218.1] || equal(symmetric_difference(universal_class,image(element_relation,power_class(u))),universal_class)** -> member(omega,power_class(complement(power_class(u)))).
% 299.85/300.42  249793[7:Rew:249197.0,234101.0] || equal(power_class(complement(power_class(u))),singleton(identity_relation)) member(identity_relation,image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249794[7:Rew:249197.0,193479.1] || equal(image(element_relation,power_class(u)),universal_class)** equal(power_class(complement(power_class(u))),singleton(identity_relation)) -> .
% 299.85/300.42  249795[14:Rew:249197.0,193440.1] || equal(image(element_relation,power_class(u)),omega)** equal(power_class(complement(power_class(u))),singleton(identity_relation)) -> .
% 299.85/300.42  249797[7:Rew:249197.0,189716.0] || subclass(singleton(identity_relation),power_class(complement(power_class(u))))* member(identity_relation,image(element_relation,power_class(u))) -> .
% 299.85/300.42  249801[5:Rew:249197.0,246660.0] || subclass(power_class(complement(power_class(u))),identity_relation) -> equal(union(v,image(element_relation,power_class(u))),universal_class)**.
% 299.85/300.42  249802[5:Rew:249197.0,246234.0] || subclass(power_class(complement(power_class(u))),identity_relation) -> equal(union(image(element_relation,power_class(u)),v),universal_class)**.
% 299.85/300.42  249803[5:Rew:249197.0,224514.1] || equal(symmetrization_of(image(element_relation,power_class(u))),identity_relation) subclass(power_class(complement(power_class(u))),identity_relation)* -> .
% 299.85/300.42  249804[5:Rew:249197.0,224469.0] || subclass(power_class(complement(power_class(u))),identity_relation) -> equal(complement(symmetrization_of(image(element_relation,power_class(u)))),identity_relation)**.
% 299.85/300.42  249805[5:Rew:249197.0,224383.0] || subclass(power_class(complement(power_class(u))),identity_relation) subclass(successor(image(element_relation,power_class(u))),identity_relation)* -> .
% 299.85/300.42  249806[5:Rew:249197.0,224347.1] || equal(successor(image(element_relation,power_class(u))),identity_relation) subclass(power_class(complement(power_class(u))),identity_relation)* -> .
% 299.85/300.42  249807[5:Rew:249197.0,224293.0] || subclass(power_class(complement(power_class(u))),identity_relation) -> equal(complement(successor(image(element_relation,power_class(u)))),identity_relation)**.
% 299.85/300.42  249808[5:Rew:249197.0,219268.0] || subclass(power_class(complement(power_class(u))),identity_relation) -> equal(symmetric_difference(universal_class,image(element_relation,power_class(u))),identity_relation)**.
% 299.85/300.42  249816[20:Rew:249197.0,224642.1] || subclass(universal_class,image(element_relation,power_class(u))) subclass(symmetrization_of(identity_relation),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  249817[5:Rew:249197.0,225261.0] || equal(union(power_class(complement(power_class(u))),identity_relation),identity_relation)** -> member(identity_relation,image(element_relation,power_class(u))).
% 299.85/300.42  249818[5:Rew:249197.0,225185.0] || equal(union(power_class(complement(power_class(u))),identity_relation),identity_relation)** -> member(omega,image(element_relation,power_class(u))).
% 299.85/300.42  249819[5:Rew:249197.0,225319.0] || equal(symmetric_difference(universal_class,power_class(complement(power_class(u)))),universal_class)** -> member(identity_relation,image(element_relation,power_class(u))).
% 299.85/300.42  249820[5:Rew:249197.0,225233.0] || equal(symmetric_difference(universal_class,power_class(complement(power_class(u)))),universal_class)** -> member(omega,image(element_relation,power_class(u))).
% 299.85/300.42  249821[14:Rew:249197.0,225291.0] || equal(symmetric_difference(universal_class,power_class(complement(power_class(u)))),omega)** -> member(identity_relation,image(element_relation,power_class(u))).
% 299.85/300.42  249822[20:Rew:249197.0,226059.1] || equal(image(element_relation,power_class(u)),universal_class)** equal(power_class(complement(power_class(u))),symmetrization_of(identity_relation)) -> .
% 299.85/300.42  250037[5:Rew:249197.0,245005.0] ||  -> equal(intersection(symmetrization_of(complement(power_class(u))),intersection(power_class(u),complement(inverse(complement(power_class(u)))))),identity_relation)**.
% 299.85/300.42  250038[5:Rew:249197.0,245007.0] ||  -> equal(symmetric_difference(symmetrization_of(complement(power_class(u))),intersection(power_class(u),complement(inverse(complement(power_class(u)))))),universal_class)**.
% 299.85/300.42  250039[5:Rew:249197.0,245008.0] ||  -> equal(intersection(intersection(power_class(u),complement(inverse(complement(power_class(u))))),symmetrization_of(complement(power_class(u)))),identity_relation)**.
% 299.85/300.42  250040[5:Rew:249197.0,245010.0] ||  -> equal(symmetric_difference(intersection(power_class(u),complement(inverse(complement(power_class(u))))),symmetrization_of(complement(power_class(u)))),universal_class)**.
% 299.85/300.42  250162[5:Rew:249197.0,245419.0] ||  -> equal(intersection(successor(complement(power_class(u))),intersection(power_class(u),complement(singleton(complement(power_class(u)))))),identity_relation)**.
% 299.85/300.42  250163[5:Rew:249197.0,245421.0] ||  -> equal(symmetric_difference(successor(complement(power_class(u))),intersection(power_class(u),complement(singleton(complement(power_class(u)))))),universal_class)**.
% 299.85/300.42  250164[5:Rew:249197.0,245422.0] ||  -> equal(intersection(intersection(power_class(u),complement(singleton(complement(power_class(u))))),successor(complement(power_class(u)))),identity_relation)**.
% 299.85/300.42  250165[5:Rew:249197.0,245424.0] ||  -> equal(symmetric_difference(intersection(power_class(u),complement(singleton(complement(power_class(u))))),successor(complement(power_class(u)))),universal_class)**.
% 299.85/300.42  250221[5:Rew:249197.0,217889.1] || subclass(omega,power_class(u)) member(v,complement(power_class(u)))* -> equal(integer_of(v),identity_relation).
% 299.85/300.42  250798[5:Rew:250258.0,250277.1] || equal(identity_relation,u) -> equal(union(v,complement(power_class(u))),union(v,complement(power_class(identity_relation))))*.
% 299.85/300.42  250278[0:Rew:249200.0,126793.1] || member(u,universal_class) -> member(u,union(v,complement(power_class(w))))* member(u,power_class(w)).
% 299.85/300.42  250530[0:Rew:249208.0,126694.1] || member(u,universal_class) -> member(u,union(complement(power_class(v)),w))* member(u,power_class(v)).
% 299.85/300.42  250799[5:Rew:250502.0,250534.1] || equal(identity_relation,u) -> equal(union(complement(power_class(u)),v),union(complement(power_class(identity_relation)),v))*.
% 299.85/300.42  250804[5:Rew:249197.0,249980.0] || equal(complement(complement(inverse(complement(power_class(u))))),universal_class)** -> equal(symmetrization_of(complement(power_class(u))),universal_class).
% 299.85/300.42  251267[5:SpR:249204.0,122711.0] ||  -> equal(union(complement(power_class(u)),symmetric_difference(universal_class,v)),complement(intersection(power_class(u),union(v,identity_relation))))**.
% 299.85/300.42  251294[5:SpR:249204.0,122708.0] ||  -> equal(union(symmetric_difference(universal_class,u),complement(power_class(v))),complement(intersection(union(u,identity_relation),power_class(v))))**.
% 299.85/300.42  251408[0:SpL:249204.0,8157.0] || member(u,symmetric_difference(power_class(v),complement(w)))* -> member(u,union(complement(power_class(v)),w)).
% 299.85/300.42  251418[0:SpL:249204.0,8157.0] || member(u,symmetric_difference(complement(v),power_class(w)))* -> member(u,union(v,complement(power_class(w)))).
% 299.85/300.42  251914[10:Rew:251767.0,203740.0] || well_ordering(u,complement(power_class(universal_class))) -> member(least(u,complement(power_class(universal_class))),complement(power_class(universal_class)))*.
% 299.85/300.42  252458[10:Rew:251767.0,251928.1] || member(complement(power_class(universal_class)),universal_class) member(apply(choice,complement(power_class(universal_class))),power_class(universal_class))* -> .
% 299.85/300.42  252459[10:Rew:251767.0,251930.1] ||  -> subclass(singleton(regular(regular(complement(power_class(universal_class))))),power_class(universal_class))* equal(regular(complement(power_class(universal_class))),identity_relation).
% 299.85/300.42  252460[10:Rew:251767.0,251936.1] || subclass(power_class(universal_class),regular(complement(power_class(universal_class))))* -> equal(regular(complement(power_class(universal_class))),power_class(universal_class)).
% 299.85/300.42  252050[5:Rew:251768.0,212554.1] || equal(identity_relation,u) subclass(universal_class,complement(power_class(identity_relation)))* member(omega,power_class(u))* -> .
% 299.85/300.42  252461[11:Rew:251768.0,252110.1] || well_ordering(u,complement(power_class(identity_relation))) member(least(u,complement(power_class(identity_relation))),power_class(identity_relation))* -> .
% 299.85/300.42  252111[11:Rew:251768.0,203739.0] || well_ordering(u,complement(power_class(identity_relation))) -> member(least(u,complement(power_class(identity_relation))),complement(power_class(identity_relation)))*.
% 299.85/300.42  252462[11:Rew:251768.0,252129.1] || member(complement(power_class(identity_relation)),universal_class) member(apply(choice,complement(power_class(identity_relation))),power_class(identity_relation))* -> .
% 299.85/300.42  252133[5:Rew:251768.0,203106.1] || equal(identity_relation,u) member(v,complement(power_class(identity_relation)))* member(v,power_class(u))* -> .
% 299.85/300.42  252463[11:Rew:251768.0,252136.1] ||  -> subclass(singleton(regular(regular(complement(power_class(identity_relation))))),power_class(identity_relation))* equal(regular(complement(power_class(identity_relation))),identity_relation).
% 299.85/300.42  252464[11:Rew:251768.0,252145.1] ||  -> member(not_subclass_element(regular(complement(power_class(identity_relation))),u),power_class(identity_relation))* subclass(regular(complement(power_class(identity_relation))),u).
% 299.85/300.42  252465[11:Rew:251768.0,252147.1] || subclass(power_class(identity_relation),regular(complement(power_class(identity_relation))))* -> equal(regular(complement(power_class(identity_relation))),power_class(identity_relation)).
% 299.85/300.42  252267[5:Rew:251760.0,249557.0] || equal(image(element_relation,power_class(u)),universal_class) -> equal(union(image(element_relation,power_class(u)),v),universal_class)**.
% 299.85/300.42  252268[5:Rew:251760.0,249556.0] || equal(image(element_relation,power_class(u)),universal_class) -> equal(union(v,image(element_relation,power_class(u))),universal_class)**.
% 299.85/300.42  252278[5:Rew:251760.0,249568.0] || equal(image(element_relation,power_class(u)),identity_relation) member(singleton(v),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  252279[5:Rew:251760.0,249567.0] || equal(image(element_relation,power_class(u)),identity_relation) member(power_class(identity_relation),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  252362[5:Rew:251762.0,239317.0] ||  -> equal(intersection(image(element_relation,union(u,v)),symmetric_difference(universal_class,image(element_relation,union(u,v)))),identity_relation)**.
% 299.85/300.42  252363[5:Rew:251762.0,241074.0] ||  -> equal(intersection(symmetric_difference(universal_class,image(element_relation,union(u,v))),image(element_relation,union(u,v))),identity_relation)**.
% 299.85/300.42  252641[5:SpR:249200.0,202351.1] || equal(intersection(complement(u),power_class(v)),identity_relation)** -> equal(union(u,complement(power_class(v))),universal_class).
% 299.85/300.42  252657[5:SpR:249200.0,119684.0] ||  -> equal(intersection(union(u,complement(power_class(v))),universal_class),symmetric_difference(universal_class,intersection(complement(u),power_class(v))))**.
% 299.85/300.42  252658[5:SpR:249200.0,22542.0] ||  -> subclass(symmetric_difference(union(u,complement(power_class(v))),universal_class),union(intersection(complement(u),power_class(v)),identity_relation))*.
% 299.85/300.42  252674[0:SpR:249200.0,249197.0] ||  -> equal(image(element_relation,union(u,complement(power_class(v)))),complement(power_class(intersection(complement(u),power_class(v)))))**.
% 299.85/300.42  252689[5:SpR:249200.0,237395.0] ||  -> equal(intersection(union(u,complement(power_class(v))),intersection(w,intersection(complement(u),power_class(v)))),identity_relation)**.
% 299.85/300.42  252690[5:SpR:249200.0,237985.0] ||  -> equal(intersection(union(u,complement(power_class(v))),intersection(intersection(complement(u),power_class(v)),w)),identity_relation)**.
% 299.85/300.42  252691[5:SpR:249200.0,239572.0] ||  -> equal(intersection(intersection(intersection(complement(u),power_class(v)),w),union(u,complement(power_class(v)))),identity_relation)**.
% 299.85/300.42  252706[0:SpR:249200.0,162506.1] ||  -> member(u,intersection(complement(v),power_class(w))) subclass(singleton(u),union(v,complement(power_class(w))))*.
% 299.85/300.42  252708[5:SpR:249200.0,238781.0] ||  -> equal(intersection(intersection(u,intersection(complement(v),power_class(w))),union(v,complement(power_class(w)))),identity_relation)**.
% 299.85/300.42  252748[0:SpR:145868.1,249200.0] || subclass(power_class(u),complement(v)) -> equal(union(v,complement(power_class(u))),complement(power_class(u)))**.
% 299.85/300.42  252763[5:SpL:249200.0,165324.0] || equal(union(u,complement(power_class(v))),universal_class) -> equal(intersection(complement(u),power_class(v)),identity_relation)**.
% 299.85/300.42  252767[3:SpL:249200.0,3957.1] inductive(intersection(complement(u),power_class(v))) || equal(union(u,complement(power_class(v))),universal_class)** -> .
% 299.85/300.42  252799[5:SpL:249200.0,203645.0] || equal(union(u,complement(power_class(v))),identity_relation) -> equal(intersection(complement(u),power_class(v)),universal_class)**.
% 299.85/300.42  252806[14:SpL:249200.0,178302.1] inductive(intersection(complement(u),power_class(v))) || equal(union(u,complement(power_class(v))),omega)** -> .
% 299.85/300.42  252809[7:SpL:249200.0,176819.0] || well_ordering(universal_class,union(u,complement(power_class(v))))* -> member(identity_relation,intersection(complement(u),power_class(v))).
% 299.85/300.42  252822[5:SpL:249200.0,202624.0] || subclass(union(u,complement(power_class(v))),identity_relation) -> member(omega,intersection(complement(u),power_class(v)))*.
% 299.85/300.42  252823[7:SpL:249200.0,202413.0] || subclass(union(u,complement(power_class(v))),identity_relation) -> member(identity_relation,intersection(complement(u),power_class(v)))*.
% 299.85/300.42  252910[0:Rew:27.0,252720.0] ||  -> equal(union(u,complement(complement(image(element_relation,symmetrization_of(v))))),union(u,image(element_relation,symmetrization_of(v))))**.
% 299.85/300.42  252911[0:Rew:27.0,252721.0] ||  -> equal(union(u,complement(complement(image(element_relation,successor(v))))),union(u,image(element_relation,successor(v))))**.
% 299.85/300.42  252918[15:MRR:252917.2,191629.0] single_valued_class(intersection(complement(u),power_class(v))) || equal(union(u,complement(power_class(v))),universal_class)** -> .
% 299.85/300.42  252971[5:SpR:249208.0,202351.1] || equal(intersection(power_class(u),complement(v)),identity_relation)** -> equal(union(complement(power_class(u)),v),universal_class).
% 299.85/300.42  252987[5:SpR:249208.0,119684.0] ||  -> equal(intersection(union(complement(power_class(u)),v),universal_class),symmetric_difference(universal_class,intersection(power_class(u),complement(v))))**.
% 299.85/300.42  252988[5:SpR:249208.0,22542.0] ||  -> subclass(symmetric_difference(union(complement(power_class(u)),v),universal_class),union(intersection(power_class(u),complement(v)),identity_relation))*.
% 299.85/300.42  253004[0:SpR:249208.0,249197.0] ||  -> equal(image(element_relation,union(complement(power_class(u)),v)),complement(power_class(intersection(power_class(u),complement(v)))))**.
% 299.85/300.42  253019[5:SpR:249208.0,237395.0] ||  -> equal(intersection(union(complement(power_class(u)),v),intersection(w,intersection(power_class(u),complement(v)))),identity_relation)**.
% 299.85/300.42  253020[5:SpR:249208.0,237985.0] ||  -> equal(intersection(union(complement(power_class(u)),v),intersection(intersection(power_class(u),complement(v)),w)),identity_relation)**.
% 299.85/300.42  253021[5:SpR:249208.0,239572.0] ||  -> equal(intersection(intersection(intersection(power_class(u),complement(v)),w),union(complement(power_class(u)),v)),identity_relation)**.
% 299.85/300.42  253036[0:SpR:249208.0,162506.1] ||  -> member(u,intersection(power_class(v),complement(w))) subclass(singleton(u),union(complement(power_class(v)),w))*.
% 299.85/300.42  253038[5:SpR:249208.0,238781.0] ||  -> equal(intersection(intersection(u,intersection(power_class(v),complement(w))),union(complement(power_class(v)),w)),identity_relation)**.
% 299.85/300.42  253053[5:SpR:202351.1,249208.0] || equal(identity_relation,u) -> equal(union(complement(power_class(v)),u),complement(intersection(power_class(v),universal_class)))**.
% 299.85/300.42  253080[0:SpR:145868.1,249208.0] || subclass(complement(u),power_class(v)) -> equal(union(complement(power_class(v)),u),complement(complement(u)))**.
% 299.85/300.42  253096[5:SpL:249208.0,165324.0] || equal(union(complement(power_class(u)),v),universal_class) -> equal(intersection(power_class(u),complement(v)),identity_relation)**.
% 299.85/300.42  253100[3:SpL:249208.0,3957.1] inductive(intersection(power_class(u),complement(v))) || equal(union(complement(power_class(u)),v),universal_class)** -> .
% 299.85/300.42  253132[5:SpL:249208.0,203645.0] || equal(union(complement(power_class(u)),v),identity_relation) -> equal(intersection(power_class(u),complement(v)),universal_class)**.
% 299.85/300.42  253139[14:SpL:249208.0,178302.1] inductive(intersection(power_class(u),complement(v))) || equal(union(complement(power_class(u)),v),omega)** -> .
% 299.85/300.42  253142[7:SpL:249208.0,176819.0] || well_ordering(universal_class,union(complement(power_class(u)),v))* -> member(identity_relation,intersection(power_class(u),complement(v))).
% 299.85/300.42  253155[5:SpL:249208.0,202624.0] || subclass(union(complement(power_class(u)),v),identity_relation) -> member(omega,intersection(power_class(u),complement(v)))*.
% 299.85/300.42  253156[7:SpL:249208.0,202413.0] || subclass(union(complement(power_class(u)),v),identity_relation) -> member(identity_relation,intersection(power_class(u),complement(v)))*.
% 299.85/300.42  253242[0:Rew:27.0,253071.0] ||  -> equal(union(complement(complement(image(element_relation,symmetrization_of(u)))),v),union(image(element_relation,symmetrization_of(u)),v))**.
% 299.85/300.42  253243[0:Rew:27.0,253072.0] ||  -> equal(union(complement(complement(image(element_relation,successor(u)))),v),union(image(element_relation,successor(u)),v))**.
% 299.85/300.42  253250[15:MRR:253249.2,191629.0] single_valued_class(intersection(power_class(u),complement(v))) || equal(union(complement(power_class(u)),v),universal_class)** -> .
% 299.85/300.42  253424[0:Res:119650.1,249201.0] || equal(image(element_relation,power_class(u)),universal_class) member(singleton(v),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253425[0:Res:763.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(singleton(v),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253439[5:Res:205150.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(power_class(identity_relation),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253480[7:Res:125624.1,249201.0] || equal(image(element_relation,power_class(u)),singleton(identity_relation)) member(identity_relation,power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253538[5:SpR:253274.0,765.2] || member(complement(power_class(universal_class)),universal_class) subclass(universal_class,u) -> member(apply(element_relation,universal_class),u)*.
% 299.85/300.42  253580[5:Rew:253274.0,253533.0] || equal(apply(element_relation,universal_class),complement(power_class(universal_class))) -> subclass(apply(element_relation,universal_class),complement(power_class(universal_class)))*.
% 299.85/300.42  253629[5:Rew:249204.0,253617.1,122359.0,253617.1] || equal(power_class(u),universal_class) -> equal(complement(intersection(power_class(u),power_class(v))),complement(power_class(v)))**.
% 299.85/300.42  253679[5:SpR:8659.0,251227.0] ||  -> equal(intersection(complement(image(element_relation,symmetrization_of(u))),symmetric_difference(universal_class,complement(image(element_relation,symmetrization_of(u))))),identity_relation)**.
% 299.85/300.42  253680[5:SpR:8660.0,251227.0] ||  -> equal(intersection(complement(image(element_relation,successor(u))),symmetric_difference(universal_class,complement(image(element_relation,successor(u))))),identity_relation)**.
% 299.85/300.42  253737[5:Rew:118446.0,253644.0,22454.0,253644.0] ||  -> equal(symmetric_difference(power_class(u),symmetric_difference(universal_class,power_class(u))),union(power_class(u),symmetric_difference(universal_class,power_class(u))))**.
% 299.85/300.42  253788[5:SpR:8659.0,251228.0] ||  -> equal(intersection(symmetric_difference(universal_class,complement(image(element_relation,symmetrization_of(u)))),complement(image(element_relation,symmetrization_of(u)))),identity_relation)**.
% 299.85/300.42  253789[5:SpR:8660.0,251228.0] ||  -> equal(intersection(symmetric_difference(universal_class,complement(image(element_relation,successor(u)))),complement(image(element_relation,successor(u)))),identity_relation)**.
% 299.85/300.42  253846[5:Rew:118446.0,253753.0,22454.0,253753.0] ||  -> equal(symmetric_difference(symmetric_difference(universal_class,power_class(u)),power_class(u)),union(symmetric_difference(universal_class,power_class(u)),power_class(u)))**.
% 299.85/300.42  253890[17:Res:195285.2,204710.1] || member(u,universal_class) equal(compose(v,u),identity_relation)** subclass(compose_class(v),identity_relation)* -> .
% 299.85/300.42  253891[17:Res:195285.2,203257.1] || member(u,universal_class) equal(compose(v,u),identity_relation)** equal(compose_class(v),identity_relation) -> .
% 299.85/300.42  254001[5:Rew:8659.0,253952.0] || equal(complement(image(element_relation,symmetrization_of(u))),identity_relation) -> subclass(complement(image(element_relation,symmetrization_of(u))),v)*.
% 299.85/300.42  254002[5:Rew:8660.0,253953.0] || equal(complement(image(element_relation,successor(u))),identity_relation) -> subclass(complement(image(element_relation,successor(u))),v)*.
% 299.85/300.42  254023[5:Rew:8659.0,254019.0] || equal(complement(image(element_relation,symmetrization_of(u))),identity_relation) -> asymmetric(complement(image(element_relation,symmetrization_of(u))),v)*.
% 299.85/300.42  254024[5:Rew:8660.0,254020.0] || equal(complement(image(element_relation,successor(u))),identity_relation) -> asymmetric(complement(image(element_relation,successor(u))),v)*.
% 299.85/300.42  254038[7:SpR:251758.0,27.0] ||  -> equal(complement(intersection(image(element_relation,singleton(identity_relation)),complement(u))),union(power_class(complement(singleton(identity_relation))),u))**.
% 299.85/300.42  254040[7:SpR:251758.0,47693.0] ||  -> subclass(complement(union(power_class(complement(singleton(identity_relation))),u)),intersection(image(element_relation,singleton(identity_relation)),complement(u)))*.
% 299.85/300.42  254084[7:SpR:251758.0,27.0] ||  -> equal(complement(intersection(complement(u),image(element_relation,singleton(identity_relation)))),union(u,power_class(complement(singleton(identity_relation)))))**.
% 299.85/300.42  254086[7:SpR:251758.0,47693.0] ||  -> subclass(complement(union(u,power_class(complement(singleton(identity_relation))))),intersection(complement(u),image(element_relation,singleton(identity_relation))))*.
% 299.85/300.42  254109[7:SpL:251758.0,146252.0] || subclass(universal_class,image(element_relation,singleton(identity_relation))) -> equal(symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))),universal_class)**.
% 299.85/300.42  254171[7:SpL:251758.0,189483.0] || subclass(singleton(identity_relation),image(element_relation,singleton(identity_relation)))* member(identity_relation,power_class(complement(singleton(identity_relation)))) -> .
% 299.85/300.42  254172[7:SpL:251758.0,219429.1] || equal(symmetrization_of(power_class(complement(singleton(identity_relation)))),identity_relation) subclass(image(element_relation,singleton(identity_relation)),identity_relation)* -> .
% 299.85/300.42  254173[7:SpL:251758.0,219414.0] || subclass(image(element_relation,singleton(identity_relation)),identity_relation) -> equal(complement(symmetrization_of(power_class(complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.42  254174[7:SpL:251758.0,219370.0] || subclass(image(element_relation,singleton(identity_relation)),identity_relation) subclass(successor(power_class(complement(singleton(identity_relation)))),identity_relation)* -> .
% 299.85/300.42  254175[7:SpL:251758.0,219326.1] || equal(successor(power_class(complement(singleton(identity_relation)))),identity_relation) subclass(image(element_relation,singleton(identity_relation)),identity_relation)* -> .
% 299.85/300.42  254176[7:SpL:251758.0,219310.0] || subclass(image(element_relation,singleton(identity_relation)),identity_relation) -> equal(complement(successor(power_class(complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.42  254177[7:SpL:251758.0,207228.0] || subclass(image(element_relation,singleton(identity_relation)),identity_relation) -> equal(symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))),identity_relation)**.
% 299.85/300.42  254181[20:SpL:251758.0,220259.1] || subclass(universal_class,power_class(complement(singleton(identity_relation)))) subclass(symmetrization_of(identity_relation),image(element_relation,singleton(identity_relation)))* -> .
% 299.85/300.42  254295[5:SpR:251759.0,27.0] ||  -> equal(complement(intersection(image(element_relation,symmetrization_of(identity_relation)),complement(u))),union(power_class(complement(inverse(identity_relation))),u))**.
% 299.85/300.42  254297[5:SpR:251759.0,47693.0] ||  -> subclass(complement(union(power_class(complement(inverse(identity_relation))),u)),intersection(image(element_relation,symmetrization_of(identity_relation)),complement(u)))*.
% 299.85/300.42  254341[5:SpR:251759.0,27.0] ||  -> equal(complement(intersection(complement(u),image(element_relation,symmetrization_of(identity_relation)))),union(u,power_class(complement(inverse(identity_relation)))))**.
% 299.85/300.42  254343[5:SpR:251759.0,47693.0] ||  -> subclass(complement(union(u,power_class(complement(inverse(identity_relation))))),intersection(complement(u),image(element_relation,symmetrization_of(identity_relation))))*.
% 299.85/300.42  254365[5:SpL:251759.0,146252.0] || subclass(universal_class,image(element_relation,symmetrization_of(identity_relation))) -> equal(symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))),universal_class)**.
% 299.85/300.42  254427[7:SpL:251759.0,189483.0] || subclass(singleton(identity_relation),image(element_relation,symmetrization_of(identity_relation)))* member(identity_relation,power_class(complement(inverse(identity_relation)))) -> .
% 299.85/300.42  254428[5:SpL:251759.0,219429.1] || equal(symmetrization_of(power_class(complement(inverse(identity_relation)))),identity_relation) subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation)* -> .
% 299.85/300.42  254429[5:SpL:251759.0,219414.0] || subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation) -> equal(complement(symmetrization_of(power_class(complement(inverse(identity_relation))))),identity_relation)**.
% 299.85/300.42  254430[5:SpL:251759.0,219370.0] || subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation) subclass(successor(power_class(complement(inverse(identity_relation)))),identity_relation)* -> .
% 299.85/300.42  254431[5:SpL:251759.0,219326.1] || equal(successor(power_class(complement(inverse(identity_relation)))),identity_relation) subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation)* -> .
% 299.85/300.42  254432[5:SpL:251759.0,219310.0] || subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation) -> equal(complement(successor(power_class(complement(inverse(identity_relation))))),identity_relation)**.
% 299.85/300.42  254433[5:SpL:251759.0,207228.0] || subclass(image(element_relation,symmetrization_of(identity_relation)),identity_relation) -> equal(symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))),identity_relation)**.
% 299.85/300.42  254437[20:SpL:251759.0,220259.1] || subclass(universal_class,power_class(complement(inverse(identity_relation)))) subclass(symmetrization_of(identity_relation),image(element_relation,symmetrization_of(identity_relation)))* -> .
% 299.85/300.42  254749[0:MRR:254723.0,176.0] || well_ordering(universal_class,image(element_relation,power_class(u))) -> member(singleton(singleton(v)),power_class(complement(power_class(u))))*.
% 299.85/300.42  254950[5:MRR:254889.2,5.0] || equal(complement(u),identity_relation) member(v,universal_class) -> member(ordered_pair(v,rest_of(v)),u)*.
% 299.85/300.42  255107[15:Rew:119684.0,255084.0,22454.0,255084.0] || subclass(universal_class,symmetric_difference(universal_class,range_of(identity_relation))) member(unordered_pair(u,v),successor(range_of(identity_relation)))* -> .
% 299.85/300.42  255112[5:Rew:122382.0,255082.0,119684.0,255082.0,22454.0,255082.0] || subclass(universal_class,symmetric_difference(u,universal_class)) member(unordered_pair(v,w),complement(symmetric_difference(u,universal_class)))* -> .
% 299.85/300.42  255369[11:Res:207942.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(regular(complement(power_class(identity_relation)))),v)*.
% 299.85/300.42  255371[10:Res:208126.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(regular(complement(power_class(universal_class)))),v)*.
% 299.85/300.42  255374[9:Res:207784.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(regular(complement(symmetrization_of(identity_relation)))),v)*.
% 299.85/300.42  255731[5:Rew:44.0,255692.1] || member(regular(successor(u)),intersection(complement(u),complement(singleton(u))))* -> equal(successor(u),identity_relation).
% 299.85/300.42  255732[5:Rew:114.0,255694.1] || member(regular(symmetrization_of(u)),intersection(complement(u),complement(inverse(u))))* -> equal(symmetrization_of(u),identity_relation).
% 299.85/300.42  255733[17:Rew:209751.1,255696.2,119684.0,255696.1,22454.0,255696.1] function(u) || member(regular(successor(u)),symmetric_difference(universal_class,u))* -> equal(successor(u),identity_relation).
% 299.85/300.42  255798[5:Res:52.1,5557.0] inductive(compose_class(u)) ||  -> equal(integer_of(ordered_pair(v,w)),identity_relation)** equal(compose(u,v),w)*.
% 299.85/300.42  256193[5:Obv:256143.2] || subclass(u,v) subclass(u,regular(v))* -> equal(u,identity_relation) equal(v,identity_relation).
% 299.85/300.42  256195[20:MRR:256141.3,212333.0] || member(regular(u),inverse(identity_relation))* subclass(u,regular(symmetrization_of(identity_relation))) -> equal(u,identity_relation).
% 299.85/300.42  256207[5:Obv:256149.1] || subclass(complement(complement(u)),regular(u))* -> equal(complement(complement(u)),identity_relation) equal(u,identity_relation).
% 299.85/300.42  256208[5:Obv:256142.1] || subclass(intersection(u,v),regular(v))* -> equal(intersection(u,v),identity_relation) equal(v,identity_relation).
% 299.85/300.42  256209[13:MRR:256138.3,203223.0] || member(regular(u),element_relation) subclass(u,regular(compose(element_relation,universal_class)))* -> equal(u,identity_relation).
% 299.85/300.42  256213[5:Obv:256115.1] || subclass(intersection(u,v),regular(u))* -> equal(intersection(u,v),identity_relation) equal(u,identity_relation).
% 299.85/300.42  256233[5:MRR:256232.2,207039.0] || subclass(symmetric_difference(u,singleton(u)),regular(successor(u)))* -> equal(symmetric_difference(u,singleton(u)),identity_relation).
% 299.85/300.42  256235[5:MRR:256234.2,207040.0] || subclass(symmetric_difference(u,inverse(u)),regular(symmetrization_of(u)))* -> equal(symmetric_difference(u,inverse(u)),identity_relation).
% 299.85/300.42  256240[5:MRR:256239.2,206838.0] || subclass(symmetric_difference(u,v),regular(complement(intersection(u,v))))* -> equal(symmetric_difference(u,v),identity_relation).
% 299.85/300.42  256322[5:Obv:256304.2] || equal(u,v) subclass(unordered_pair(v,u),v)* -> equal(unordered_pair(v,u),identity_relation).
% 299.85/300.42  256337[5:Obv:256333.2] || equal(u,v) equal(unordered_pair(v,u),v)** -> equal(unordered_pair(v,u),identity_relation).
% 299.85/300.42  256432[5:Rew:256431.1,233972.2] || subclass(rest_relation,rest_of(u)) member(domain_of(u),universal_class)* -> member(singleton(singleton(identity_relation)),element_relation)*.
% 299.85/300.42  256587[11:Res:207942.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(regular(complement(power_class(identity_relation)))),v)*.
% 299.85/300.42  256589[10:Res:208126.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(regular(complement(power_class(universal_class)))),v)*.
% 299.85/300.42  256592[9:Res:207784.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(regular(complement(symmetrization_of(identity_relation)))),v)*.
% 299.85/300.42  256898[5:Res:5201.1,251410.0] inductive(intersection(power_class(u),complement(v))) || member(identity_relation,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  257090[5:Res:5201.1,251419.0] inductive(intersection(complement(u),power_class(v))) || member(identity_relation,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  257250[5:Res:5201.1,20569.2] inductive(union(u,v)) || member(identity_relation,complement(v))* member(identity_relation,complement(u))* -> .
% 299.85/300.42  257337[5:SpR:257295.1,5323.2] inductive(regular(u)) || subclass(u,omega)* -> equal(u,identity_relation) equal(regular(u),identity_relation).
% 299.85/300.42  257360[5:MRR:213698.3,257354.0] || well_ordering(u,universal_class) equal(least(u,omega),universal_class)** -> equal(least(u,omega),identity_relation).
% 299.85/300.42  257401[5:SpR:257293.1,123943.1] || equal(least(u,omega),omega)** well_ordering(u,universal_class) -> equal(least(u,omega),identity_relation).
% 299.85/300.42  257424[5:SpR:47789.0,648.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) member(regular(ordered_pair(u,v)),ordered_pair(u,v))*.
% 299.85/300.42  257439[5:SpR:233410.0,47789.0] ||  -> equal(regular(ordered_pair(u,universal_class)),unordered_pair(u,identity_relation))** equal(regular(ordered_pair(u,universal_class)),singleton(u)).
% 299.85/300.42  257443[5:SpL:47789.0,201806.0] || subclass(singleton(regular(ordered_pair(u,v))),identity_relation)* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257444[5:SpL:47789.0,202156.0] || equal(singleton(regular(ordered_pair(u,v))),identity_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257456[17:SpL:47789.0,195829.0] || equal(rest_of(regular(ordered_pair(u,v))),rest_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257460[5:SpL:47789.0,3652.0] || equal(complement(regular(ordered_pair(u,v))),universal_class)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257461[5:SpL:47789.0,3632.0] || subclass(universal_class,complement(regular(ordered_pair(u,v))))* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257465[5:SpL:47789.0,232829.0] || subclass(universal_class,regular(regular(ordered_pair(u,v))))* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257466[5:SpL:47789.0,232853.0] || equal(regular(regular(ordered_pair(u,v))),universal_class)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257649[5:Res:52.1,125904.0] inductive(restrict(u,v,w)) ||  -> equal(integer_of(x),identity_relation) member(x,cross_product(v,w))*.
% 299.85/300.42  257690[5:Res:52.1,5464.0] inductive(unordered_pair(u,v)) ||  -> equal(integer_of(w),identity_relation)** equal(w,v)* equal(w,u)*.
% 299.85/300.42  257700[17:SpL:5338.1,256437.0] || subclass(domain_relation,flip(ordered_pair(regular(cross_product(u,v)),identity_relation)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.42  257788[5:Rew:32674.2,257774.1] || equal(u,v) equal(v,universal_class) -> equal(unordered_pair(v,u),identity_relation)** inductive(v).
% 299.85/300.42  258086[5:Rew:22519.0,257967.1] || well_ordering(u,universal_class) -> equal(cantor(v),identity_relation) member(least(u,cantor(v)),domain_of(v))*.
% 299.85/300.42  258305[5:SpL:47789.0,257850.0] || equal(power_class(regular(ordered_pair(u,v))),universal_class)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  258407[5:MRR:258352.3,258097.1] || well_ordering(u,universal_class) subclass(v,complement(singleton(least(u,v))))* -> equal(v,identity_relation).
% 299.85/300.42  258739[5:SpL:47789.0,258415.0] || equal(sum_class(regular(ordered_pair(u,v))),universal_class)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  258804[17:SpL:5338.1,257705.0] || equal(flip(ordered_pair(regular(cross_product(u,v)),identity_relation)),domain_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.42  259121[5:Res:256424.0,944.0] ||  -> equal(singleton(complement(symmetric_difference(u,v))),identity_relation) member(complement(symmetric_difference(u,v)),union(u,v))*.
% 299.85/300.42  259137[5:Res:256424.0,596.0] ||  -> equal(singleton(complement(restrict(u,v,w))),identity_relation) member(complement(restrict(u,v,w)),u)*.
% 299.85/300.42  259140[5:Res:256424.0,5405.0] || member(complement(regular(u)),u)* -> equal(singleton(complement(regular(u))),identity_relation) equal(u,identity_relation).
% 299.85/300.42  259168[5:Rew:27.0,259071.1] ||  -> member(union(u,v),intersection(complement(u),complement(v)))* equal(singleton(union(u,v)),identity_relation).
% 299.85/300.42  259381[7:Res:30856.1,248203.0] || member(identity_relation,union(u,complement(singleton(identity_relation)))) -> member(identity_relation,symmetric_difference(u,complement(singleton(identity_relation))))*.
% 299.85/300.42  259382[7:Res:30856.1,254684.0] || member(identity_relation,union(complement(singleton(identity_relation)),u)) -> member(identity_relation,symmetric_difference(complement(singleton(identity_relation)),u))*.
% 299.85/300.42  259401[5:Rew:22457.0,259283.0] || member(u,universal_class) -> member(u,cantor(inverse(v))) member(u,symmetric_difference(range_of(v),universal_class))*.
% 299.85/300.42  259402[5:Rew:22457.0,259290.0] || member(u,universal_class) -> member(u,symmetric_difference(universal_class,v)) member(u,symmetric_difference(complement(v),universal_class))*.
% 299.85/300.42  259556[0:Obv:259539.2] || equal(u,v) member(v,cantor(w)) -> subclass(unordered_pair(v,u),domain_of(w))*.
% 299.85/300.42  259614[5:Obv:259597.2] || subclass(unordered_pair(u,v),u)* -> equal(integer_of(v),identity_relation) subclass(unordered_pair(u,v),omega)*.
% 299.85/300.42  259615[5:Obv:259596.2] || subclass(unordered_pair(u,v),v)* -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega)*.
% 299.85/300.42  259634[5:Obv:259627.2] || equal(unordered_pair(u,v),u) -> equal(integer_of(v),identity_relation) subclass(unordered_pair(u,v),omega)*.
% 299.85/300.42  259635[5:Obv:259626.2] || equal(unordered_pair(u,v),v) -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega)*.
% 299.85/300.42  259675[5:Obv:259661.2] || member(u,v) equal(unordered_pair(w,u),w) -> subclass(unordered_pair(w,u),v)*.
% 299.85/300.42  259676[5:Obv:259660.2] || member(u,v) subclass(unordered_pair(w,u),w)* -> subclass(unordered_pair(w,u),v)*.
% 299.85/300.42  259785[5:Obv:259771.2] || member(u,v) equal(unordered_pair(u,w),w) -> subclass(unordered_pair(u,w),v)*.
% 299.85/300.42  259786[5:Obv:259770.2] || member(u,v) subclass(unordered_pair(u,w),w)* -> subclass(unordered_pair(u,w),v)*.
% 299.85/300.42  260052[0:Res:52.1,8430.0] inductive(u) || subclass(u,v)* -> subclass(omega,w) member(not_subclass_element(omega,w),v)*.
% 299.85/300.42  260109[5:Res:124215.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(symmetrization_of(identity_relation),v) member(not_subclass_element(symmetrization_of(identity_relation),v),u)*.
% 299.85/300.42  260450[5:MRR:260307.2,205351.0] || subclass(u,complement(singleton(not_subclass_element(intersection(v,u),w))))* -> subclass(intersection(v,u),w).
% 299.85/300.42  260546[0:Res:260367.1,8.0] || subclass(u,v) subclass(v,intersection(w,u))* -> equal(v,intersection(w,u)).
% 299.85/300.42  260560[0:Res:260367.1,2957.1] single_valued_class(intersection(u,v)) || subclass(v,cross_product(universal_class,universal_class))* -> function(intersection(u,v))*.
% 299.85/300.42  260651[5:Res:260484.1,5321.0] || subclass(universal_class,intersection(u,v))* -> equal(cantor(w),identity_relation) member(regular(cantor(w)),u)*.
% 299.85/300.42  260652[5:Res:260484.1,5320.0] || subclass(universal_class,intersection(u,v))* -> equal(cantor(w),identity_relation) member(regular(cantor(w)),v)*.
% 299.85/300.42  260712[5:Res:260493.1,8.0] || subclass(universal_class,u) subclass(u,symmetric_difference(universal_class,v))* -> equal(u,symmetric_difference(universal_class,v)).
% 299.85/300.42  261146[0:Res:260940.0,8.0] || subclass(u,intersection(v,intersection(w,u)))* -> equal(intersection(v,intersection(w,u)),u).
% 299.85/300.42  261250[0:SpR:20365.2,261060.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> subclass(intersection(w,rest_of(u)),v)*.
% 299.85/300.42  261523[5:Rew:22519.0,261351.0] ||  -> subclass(intersection(u,cantor(v)),w) member(not_subclass_element(intersection(u,cantor(v)),w),domain_of(v))*.
% 299.85/300.42  261638[0:SpR:930.0,261510.0] ||  -> subclass(intersection(u,symmetric_difference(complement(intersection(v,w)),union(v,w))),complement(symmetric_difference(v,w)))*.
% 299.85/300.42  261716[0:Res:261510.0,8.0] || subclass(u,intersection(v,intersection(u,w)))* -> equal(intersection(v,intersection(u,w)),u).
% 299.85/300.42  261843[5:Res:261666.0,8.0] || subclass(inverse(identity_relation),intersection(u,symmetrization_of(identity_relation)))* -> equal(intersection(u,symmetrization_of(identity_relation)),inverse(identity_relation)).
% 299.85/300.42  262093[5:MRR:261951.2,205351.0] || subclass(u,complement(singleton(not_subclass_element(intersection(u,v),w))))* -> subclass(intersection(u,v),w).
% 299.85/300.42  262114[5:SpR:122708.0,261657.0] ||  -> subclass(intersection(u,complement(union(symmetric_difference(universal_class,v),w))),intersection(union(v,identity_relation),complement(w)))*.
% 299.85/300.42  262115[5:SpR:122711.0,261657.0] ||  -> subclass(intersection(u,complement(union(v,symmetric_difference(universal_class,w)))),intersection(complement(v),union(w,identity_relation)))*.
% 299.85/300.42  262163[0:Res:261657.0,8.0] || subclass(u,intersection(v,complement(complement(u))))* -> equal(intersection(v,complement(complement(u))),u).
% 299.85/300.42  262223[5:SpR:20365.2,261827.0] || member(u,universal_class) subclass(rest_relation,rest_of(symmetrization_of(identity_relation))) -> subclass(rest_of(u),inverse(identity_relation))*.
% 299.85/300.42  262622[0:Res:262411.0,8.0] || subclass(u,intersection(intersection(v,u),w))* -> equal(intersection(intersection(v,u),w),u).
% 299.85/300.42  262809[0:Res:262607.0,8.0] || subclass(u,complement(complement(intersection(v,u))))* -> equal(complement(complement(intersection(v,u))),u).
% 299.85/300.42  263115[5:Rew:22519.0,262945.0] ||  -> subclass(intersection(cantor(u),v),w) member(not_subclass_element(intersection(cantor(u),v),w),domain_of(u))*.
% 299.85/300.42  263215[5:SpR:122708.0,262795.0] ||  -> subclass(complement(union(u,intersection(union(v,identity_relation),complement(w)))),union(symmetric_difference(universal_class,v),w))*.
% 299.85/300.42  263216[5:SpR:122711.0,262795.0] ||  -> subclass(complement(union(u,intersection(complement(v),union(w,identity_relation)))),union(v,symmetric_difference(universal_class,w)))*.
% 299.85/300.42  263224[0:SpR:579.0,262795.0] ||  -> subclass(complement(union(u,image(element_relation,union(v,w)))),power_class(intersection(complement(v),complement(w))))*.
% 299.85/300.42  263264[0:Res:262795.0,8.0] || subclass(complement(u),complement(union(v,u)))* -> equal(complement(union(v,u)),complement(u)).
% 299.85/300.42  263321[0:Res:263232.0,8.0] || subclass(complement(singleton(u)),complement(successor(u)))* -> equal(complement(successor(u)),complement(singleton(u))).
% 299.85/300.42  263353[0:Res:263234.0,8.0] || subclass(complement(inverse(u)),complement(symmetrization_of(u)))* -> equal(complement(symmetrization_of(u)),complement(inverse(u))).
% 299.85/300.42  263386[0:SpR:930.0,263102.0] ||  -> subclass(intersection(symmetric_difference(complement(intersection(u,v)),union(u,v)),w),complement(symmetric_difference(u,v)))*.
% 299.85/300.42  263465[0:Res:263102.0,8.0] || subclass(u,intersection(intersection(u,v),w))* -> equal(intersection(intersection(u,v),w),u).
% 299.85/300.42  263666[5:Res:263414.0,8.0] || subclass(inverse(identity_relation),intersection(symmetrization_of(identity_relation),u))* -> equal(intersection(symmetrization_of(identity_relation),u),inverse(identity_relation)).
% 299.85/300.42  263686[5:Res:263652.0,8.0] || subclass(inverse(identity_relation),complement(complement(symmetrization_of(identity_relation))))* -> equal(complement(complement(symmetrization_of(identity_relation))),inverse(identity_relation)).
% 299.85/300.42  263701[5:SpR:122708.0,263405.0] ||  -> subclass(intersection(complement(union(symmetric_difference(universal_class,u),v)),w),intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.42  263702[5:SpR:122711.0,263405.0] ||  -> subclass(intersection(complement(union(u,symmetric_difference(universal_class,v))),w),intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.42  263754[0:Res:263405.0,8.0] || subclass(u,intersection(complement(complement(u)),v))* -> equal(intersection(complement(complement(u)),v),u).
% 299.85/300.42  263857[5:Res:263738.0,2957.1] single_valued_class(symmetric_difference(universal_class,complement(cross_product(universal_class,universal_class)))) ||  -> function(symmetric_difference(universal_class,complement(cross_product(universal_class,universal_class))))*.
% 299.85/300.42  263859[5:Res:263738.0,5325.0] ||  -> equal(symmetric_difference(universal_class,complement(singleton(u))),identity_relation) equal(regular(symmetric_difference(universal_class,complement(singleton(u)))),u)**.
% 299.85/300.42  263901[5:SpR:122708.0,263745.0] ||  -> subclass(complement(complement(complement(union(symmetric_difference(universal_class,u),v)))),intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.42  263902[5:SpR:122711.0,263745.0] ||  -> subclass(complement(complement(complement(union(u,symmetric_difference(universal_class,v))))),intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.42  263934[0:Res:263745.0,8.0] || subclass(u,complement(complement(complement(complement(u)))))* -> equal(complement(complement(complement(complement(u)))),u).
% 299.85/300.42  264039[0:SpR:930.0,263450.0] ||  -> subclass(complement(complement(symmetric_difference(complement(intersection(u,v)),union(u,v)))),complement(symmetric_difference(u,v)))*.
% 299.85/300.42  264103[0:Res:263450.0,8.0] || subclass(u,complement(complement(intersection(u,v))))* -> equal(complement(complement(intersection(u,v))),u).
% 299.85/300.42  264275[5:SpR:122708.0,264089.0] ||  -> subclass(complement(union(intersection(union(u,identity_relation),complement(v)),w)),union(symmetric_difference(universal_class,u),v))*.
% 299.85/300.42  264276[5:SpR:122711.0,264089.0] ||  -> subclass(complement(union(intersection(complement(u),union(v,identity_relation)),w)),union(u,symmetric_difference(universal_class,v)))*.
% 299.85/300.42  264284[0:SpR:579.0,264089.0] ||  -> subclass(complement(union(image(element_relation,union(u,v)),w)),power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.42  264324[0:Res:264089.0,8.0] || subclass(complement(u),complement(union(u,v)))* -> equal(complement(union(u,v)),complement(u)).
% 299.85/300.42  264511[7:Res:264355.0,5325.0] ||  -> equal(complement(successor(complement(singleton(identity_relation)))),identity_relation) equal(regular(complement(successor(complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.42  264562[7:Res:264409.0,5325.0] ||  -> equal(complement(symmetrization_of(complement(singleton(identity_relation)))),identity_relation) equal(regular(complement(symmetrization_of(complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.42  264700[5:SpR:249200.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,intersection(complement(v),power_class(w)))),union(v,complement(power_class(w))))*.
% 299.85/300.42  264701[5:SpR:249208.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,intersection(power_class(v),complement(w)))),union(complement(power_class(v)),w))*.
% 299.85/300.42  264832[5:SpR:249200.0,263389.0] ||  -> subclass(intersection(symmetric_difference(universal_class,intersection(complement(u),power_class(v))),w),union(u,complement(power_class(v))))*.
% 299.85/300.42  264833[5:SpR:249208.0,263389.0] ||  -> subclass(intersection(symmetric_difference(universal_class,intersection(power_class(u),complement(v))),w),union(complement(power_class(u)),v))*.
% 299.85/300.42  264934[5:Res:263560.1,8432.0] || equal(complement(intersection(u,v)),identity_relation)** -> subclass(w,x) member(not_subclass_element(w,x),u)*.
% 299.85/300.42  264935[5:Res:263560.1,8433.0] || equal(complement(intersection(u,v)),identity_relation)** -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.85/300.42  264939[5:Res:263560.1,727.1] inductive(u) || equal(complement(image(successor_relation,u)),identity_relation)** -> equal(image(successor_relation,u),u).
% 299.85/300.42  264942[5:Res:263560.1,5318.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> equal(x,identity_relation) member(regular(x),u)*.
% 299.85/300.42  265313[5:Res:263560.1,5550.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> equal(integer_of(x),identity_relation) member(x,u)*.
% 299.85/300.42  265466[5:Rew:265198.1,257442.1] || equal(complement(complement(singleton(regular(ordered_pair(u,v))))),identity_relation)** -> equal(regular(identity_relation),singleton(u)).
% 299.85/300.42  265676[20:SoR:265655.0,8479.2] single_valued_class(regular(complement(complement(symmetrization_of(identity_relation))))) || equal(regular(complement(complement(symmetrization_of(identity_relation)))),identity_relation)** -> .
% 299.85/300.42  265807[20:MRR:265758.1,5188.0] || member(u,universal_class) -> equal(apply(regular(complement(complement(symmetrization_of(identity_relation)))),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  265821[0:SpR:249200.0,262147.0] ||  -> subclass(restrict(complement(union(u,complement(power_class(v)))),w,x),intersection(complement(u),power_class(v)))*.
% 299.85/300.42  265822[0:SpR:249208.0,262147.0] ||  -> subclass(restrict(complement(union(complement(power_class(u)),v)),w,x),intersection(power_class(u),complement(v)))*.
% 299.85/300.42  265841[0:SpR:20365.2,262147.0] || member(u,universal_class) subclass(rest_relation,rest_of(complement(complement(v))))* -> subclass(rest_of(u),v)*.
% 299.85/300.42  265977[0:SpR:20365.2,262737.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> subclass(complement(complement(rest_of(u))),v)*.
% 299.85/300.42  266141[0:SpR:20365.2,261130.0] || member(u,universal_class) subclass(rest_relation,rest_of(intersection(v,w)))* -> subclass(rest_of(u),w)*.
% 299.85/300.42  266386[0:SpR:20365.2,261700.0] || member(u,universal_class) subclass(rest_relation,rest_of(intersection(v,w)))* -> subclass(rest_of(u),v)*.
% 299.85/300.42  266495[0:SpR:20365.2,262535.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> subclass(intersection(rest_of(u),w),v)*.
% 299.85/300.42  266871[5:Res:263897.0,773.1] || member(u,universal_class) -> member(u,complement(complement(symmetrization_of(identity_relation))))* member(u,complement(inverse(identity_relation))).
% 299.85/300.42  267171[7:Res:263210.0,773.1] || member(u,universal_class) -> member(u,union(v,complement(singleton(identity_relation))))* member(u,singleton(identity_relation)).
% 299.85/300.42  267216[5:Res:263211.0,773.1] || member(u,universal_class) -> member(u,union(v,complement(inverse(identity_relation))))* member(u,symmetrization_of(identity_relation)).
% 299.85/300.42  267307[7:Res:264270.0,773.1] || member(u,universal_class) -> member(u,union(complement(singleton(identity_relation)),v))* member(u,singleton(identity_relation)).
% 299.85/300.42  267361[5:Res:264271.0,773.1] || member(u,universal_class) -> member(u,union(complement(inverse(identity_relation)),v))* member(u,symmetrization_of(identity_relation)).
% 299.85/300.42  267549[5:Res:133.1,263650.0] || section(u,symmetrization_of(identity_relation),v) -> subclass(domain_of(restrict(u,v,symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.85/300.42  267601[20:Res:267579.0,8.0] || subclass(inverse(identity_relation),singleton(regular(symmetrization_of(identity_relation))))* -> equal(singleton(regular(symmetrization_of(identity_relation))),inverse(identity_relation)).
% 299.85/300.42  267615[9:Res:267581.0,8.0] || subclass(inverse(identity_relation),regular(complement(inverse(identity_relation))))* -> equal(regular(complement(inverse(identity_relation))),inverse(identity_relation)).
% 299.85/300.42  267701[5:Res:267560.0,773.1] || member(u,universal_class) -> member(u,complement(complement(complement(symmetrization_of(identity_relation)))))* member(u,inverse(identity_relation)).
% 299.85/300.42  267731[17:Rew:267728.1,267730.2] function(u) || member(singleton(singleton(singleton(singleton(singleton(identity_relation))))),composition_function)* -> equal(universal_class,u)*.
% 299.85/300.42  267791[5:Res:267559.0,773.1] || member(u,universal_class) -> member(u,complement(intersection(v,symmetrization_of(identity_relation))))* member(u,inverse(identity_relation)).
% 299.85/300.42  267882[5:Res:267561.0,773.1] || member(u,universal_class) -> member(u,complement(intersection(symmetrization_of(identity_relation),v)))* member(u,inverse(identity_relation)).
% 299.85/300.42  267992[5:Res:267565.0,773.1] || member(u,universal_class) -> member(u,union(v,complement(inverse(identity_relation))))* member(u,inverse(identity_relation)).
% 299.85/300.42  268022[5:Res:267566.0,773.1] || member(u,universal_class) -> member(u,union(complement(inverse(identity_relation)),v))* member(u,inverse(identity_relation)).
% 299.85/300.42  268439[5:Res:264364.0,773.1] || member(u,universal_class) -> member(u,successor(symmetric_difference(universal_class,v)))* member(u,union(v,identity_relation)).
% 299.85/300.42  268944[5:MRR:268943.2,225093.0] ||  -> member(regular(intersection(u,regular(complement(v)))),v)* equal(intersection(u,regular(complement(v))),identity_relation).
% 299.85/300.42  268973[5:SpL:2089.1,268510.0] || equal(successor(singleton(not_subclass_element(cross_product(u,v),w))),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  268994[5:SpL:47789.0,268532.0] || equal(successor(regular(ordered_pair(u,v))),identity_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  269122[5:MRR:269121.2,225093.0] ||  -> member(regular(intersection(regular(complement(u)),v)),u)* equal(intersection(regular(complement(u)),v),identity_relation).
% 299.85/300.42  269277[5:Rew:233410.0,269276.0] ||  -> equal(cross_product(u,identity_relation),identity_relation) equal(domain__dfg(regular(cross_product(u,identity_relation)),u,universal_class),single_valued3(identity_relation))**.
% 299.85/300.42  269330[5:Res:264418.0,773.1] || member(u,universal_class) -> member(u,symmetrization_of(symmetric_difference(universal_class,v)))* member(u,union(v,identity_relation)).
% 299.85/300.42  269849[5:SpL:2089.1,269402.0] || equal(symmetrization_of(singleton(not_subclass_element(cross_product(u,v),w))),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  269859[17:Res:12.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(unordered_pair(w,x),identity_relation),v)*.
% 299.85/300.42  269895[17:Res:641.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(ordered_pair(w,x),identity_relation),v)*.
% 299.85/300.42  269928[20:Res:212353.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(regular(symmetrization_of(identity_relation)),identity_relation),v)*.
% 299.85/300.42  269961[17:Res:212362.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(least(element_relation,omega),identity_relation),v)*.
% 299.85/300.42  269987[5:SpL:47789.0,269424.0] || equal(symmetrization_of(regular(ordered_pair(u,v))),identity_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  270101[5:SpR:251233.0,204745.1] || subclass(union(complement(power_class(u)),v),identity_relation)* -> equal(symmetric_difference(power_class(u),complement(v)),identity_relation).
% 299.85/300.42  270102[5:SpR:251233.0,204330.1] || equal(union(complement(power_class(u)),v),identity_relation) -> equal(symmetric_difference(power_class(u),complement(v)),identity_relation)**.
% 299.85/300.42  270194[5:SpL:251233.0,5192.0] || subclass(universal_class,symmetric_difference(power_class(u),complement(v))) -> member(identity_relation,union(complement(power_class(u)),v))*.
% 299.85/300.42  270196[0:SpL:251233.0,791.0] || subclass(universal_class,symmetric_difference(power_class(u),complement(v))) -> member(omega,union(complement(power_class(u)),v))*.
% 299.85/300.42  270200[5:SpL:251233.0,5191.0] || equal(symmetric_difference(power_class(u),complement(v)),universal_class) -> member(identity_relation,union(complement(power_class(u)),v))*.
% 299.85/300.42  270202[0:SpL:251233.0,928.0] || equal(symmetric_difference(power_class(u),complement(v)),universal_class) -> member(omega,union(complement(power_class(u)),v))*.
% 299.85/300.42  270211[14:SpL:251233.0,178033.0] || subclass(omega,symmetric_difference(power_class(u),complement(v))) -> member(identity_relation,union(complement(power_class(u)),v))*.
% 299.85/300.42  270213[14:SpL:251233.0,178572.0] || equal(symmetric_difference(power_class(u),complement(v)),omega) -> member(identity_relation,union(complement(power_class(u)),v))*.
% 299.85/300.42  270254[5:Rew:119684.0,270253.1] || equal(power_class(u),universal_class) -> equal(symmetric_difference(power_class(u),complement(v)),symmetric_difference(universal_class,complement(v)))**.
% 299.85/300.42  29504[5:MRR:29450.0,29469.1] || member(u,complement(intersection(v,universal_class)))* subclass(symmetric_difference(v,universal_class),w)* -> member(u,w)*.
% 299.85/300.42  21004[0:SpR:941.0,8337.0] ||  -> subclass(symmetric_difference(union(u,v),union(complement(u),complement(v))),complement(symmetric_difference(complement(u),complement(v))))*.
% 299.85/300.42  40222[0:Res:943.1,1025.1] || member(ordered_pair(u,v),symmetric_difference(w,x))* subclass(universal_class,complement(complement(intersection(w,x)))) -> .
% 299.85/300.42  20560[0:Res:779.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v))) member(ordered_pair(w,x),union(u,v))* -> .
% 299.85/300.42  3786[0:Res:3780.1,9.0] || equal(complement(complement(unordered_pair(u,v))),universal_class)** -> equal(singleton(w),v)* equal(singleton(w),u)*.
% 299.85/300.42  39971[0:Res:943.1,1002.1] || member(unordered_pair(u,v),symmetric_difference(w,x))* subclass(universal_class,complement(complement(intersection(w,x)))) -> .
% 299.85/300.42  123941[0:Res:783.1,158.0] || subclass(ordered_pair(u,v),omega) -> equal(integer_of(unordered_pair(u,singleton(v))),unordered_pair(u,singleton(v)))**.
% 299.85/300.42  122992[5:Rew:122359.0,122991.1] || subclass(ordered_pair(u,v),complement(w)) member(unordered_pair(u,singleton(v)),complement(complement(w)))* -> .
% 299.85/300.42  47763[0:Res:783.1,8898.0] || subclass(ordered_pair(u,v),symmetric_difference(w,singleton(w)))* -> member(unordered_pair(u,singleton(v)),successor(w)).
% 299.85/300.42  47761[0:Res:783.1,944.0] || subclass(ordered_pair(u,v),symmetric_difference(w,x)) -> member(unordered_pair(u,singleton(v)),union(w,x))*.
% 299.85/300.42  47762[0:Res:783.1,8834.0] || subclass(ordered_pair(u,v),symmetric_difference(w,inverse(w)))* -> member(unordered_pair(u,singleton(v)),symmetrization_of(w)).
% 299.85/300.42  47746[0:Res:783.1,2.0] || subclass(ordered_pair(u,v),w)* subclass(w,x)* -> member(unordered_pair(u,singleton(v)),x)*.
% 299.85/300.42  40197[0:SpL:2089.1,40176.0] || equal(complement(unordered_pair(u,not_subclass_element(cross_product(v,w),x))),universal_class)** -> subclass(cross_product(v,w),x).
% 299.85/300.42  40172[0:SpL:2089.1,40113.0] || subclass(universal_class,complement(unordered_pair(u,not_subclass_element(cross_product(v,w),x))))* -> subclass(cross_product(v,w),x).
% 299.85/300.42  40203[0:SpL:2089.1,40189.0] || equal(complement(unordered_pair(not_subclass_element(cross_product(u,v),w),x)),universal_class)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  40185[0:SpL:2089.1,40120.0] || subclass(universal_class,complement(unordered_pair(not_subclass_element(cross_product(u,v),w),x)))* -> subclass(cross_product(u,v),w).
% 299.85/300.42  122984[5:Rew:122359.0,122983.2] || member(u,universal_class) subclass(universal_class,complement(v)) member(power_class(u),complement(complement(v)))* -> .
% 299.85/300.42  41181[0:Res:764.2,8898.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,singleton(v)))* -> member(power_class(u),successor(v))*.
% 299.85/300.42  41072[0:Res:764.2,8834.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,inverse(v)))* -> member(power_class(u),symmetrization_of(v))*.
% 299.85/300.42  122986[5:Rew:122359.0,122985.1] || subclass(u,complement(v)) member(not_subclass_element(u,w),complement(complement(v)))* -> subclass(u,w).
% 299.85/300.42  41180[0:Res:766.2,8898.0] || subclass(u,symmetric_difference(v,singleton(v)))* -> subclass(u,w) member(not_subclass_element(u,w),successor(v))*.
% 299.85/300.42  41071[0:Res:766.2,8834.0] || subclass(u,symmetric_difference(v,inverse(v)))* -> subclass(u,w) member(not_subclass_element(u,w),symmetrization_of(v))*.
% 299.85/300.42  47648[0:Res:29726.0,2.0] || subclass(u,v) -> subclass(complement(complement(u)),w) member(not_subclass_element(complement(complement(u)),w),v)*.
% 299.85/300.42  47652[0:Res:29726.0,22.0] ||  -> subclass(complement(complement(intersection(u,v))),w) member(not_subclass_element(complement(complement(intersection(u,v))),w),u)*.
% 299.85/300.42  47653[0:Res:29726.0,23.0] ||  -> subclass(complement(complement(intersection(u,v))),w) member(not_subclass_element(complement(complement(intersection(u,v))),w),v)*.
% 299.85/300.42  118029[0:Res:8249.0,8428.0] ||  -> subclass(restrict(singleton(u),v,w),x) equal(not_subclass_element(restrict(singleton(u),v,w),x),u)**.
% 299.85/300.42  118136[0:Res:608.1,34675.0] || member(not_subclass_element(u,intersection(domain_of(v),u)),cantor(v))* -> subclass(u,intersection(domain_of(v),u)).
% 299.85/300.42  51691[0:SpR:39.0,20366.2] || member(u,universal_class) subclass(rest_relation,rest_of(flip(cross_product(v,universal_class))))* -> member(u,inverse(v))*.
% 299.85/300.42  116658[5:SpR:25601.0,27933.1] || member(u,universal_class) -> member(u,complement(symmetric_difference(v,universal_class))) member(u,complement(intersection(v,universal_class)))*.
% 299.85/300.42  86394[0:Res:86316.0,773.1] || member(u,universal_class) -> member(u,symmetrization_of(v)) member(u,intersection(complement(v),complement(inverse(v))))*.
% 299.85/300.42  86438[0:Res:86317.0,773.1] || member(u,universal_class) -> member(u,successor(v)) member(u,intersection(complement(v),complement(singleton(v))))*.
% 299.85/300.42  29403[0:SpL:939.0,817.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(singleton(x),complement(restrict(w,u,v)))*.
% 299.85/300.42  29411[0:SpL:939.0,4131.0] || equal(symmetric_difference(cross_product(u,v),w),universal_class) -> member(singleton(x),complement(restrict(w,u,v)))*.
% 299.85/300.42  126449[0:SpR:79123.1,133.1] || equal(cantor(restrict(u,v,w)),universal_class)** section(u,w,v) -> subclass(universal_class,w).
% 299.85/300.42  126526[0:MRR:126525.2,5.0] || equal(cantor(restrict(u,v,w)),universal_class)** section(u,w,v) -> equal(universal_class,w).
% 299.85/300.42  77709[0:SpR:77667.1,133.1] || equal(rest_of(restrict(u,v,w)),rest_relation)** section(u,w,v) -> subclass(universal_class,w).
% 299.85/300.42  89413[0:MRR:89412.2,5.0] || equal(rest_of(restrict(u,v,w)),rest_relation)** section(u,w,v) -> equal(universal_class,w).
% 299.85/300.42  29251[0:SpL:938.0,817.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(singleton(x),complement(restrict(u,v,w)))*.
% 299.85/300.42  29259[0:SpL:938.0,4131.0] || equal(symmetric_difference(u,cross_product(v,w)),universal_class) -> member(singleton(x),complement(restrict(u,v,w)))*.
% 299.85/300.42  4151[0:SpR:123.0,4129.1] || subclass(universal_class,cantor(restrict(u,v,singleton(w))))* -> member(singleton(x),segment(u,v,w))*.
% 299.85/300.42  85789[0:SpR:123.0,45832.1] || member(u,cantor(restrict(v,w,singleton(x))))* -> subclass(singleton(u),segment(v,w,x)).
% 299.85/300.42  32917[5:Res:780.2,29473.0] || member(u,universal_class) subclass(rest_relation,domain_of(v)) -> member(ordered_pair(u,rest_of(u)),cantor(v))*.
% 299.85/300.42  85830[0:Res:45832.1,8.0] || member(u,cantor(v)) subclass(domain_of(v),singleton(u))* -> equal(domain_of(v),singleton(u)).
% 299.85/300.42  146248[0:SpR:145868.1,160.0] || subclass(union(u,v),complement(intersection(u,v)))* -> equal(symmetric_difference(u,v),union(u,v)).
% 299.85/300.42  146249[0:SpR:145868.1,932.0] || subclass(successor(u),complement(intersection(u,singleton(u))))* -> equal(symmetric_difference(u,singleton(u)),successor(u)).
% 299.85/300.42  146615[0:SpR:146022.0,160.0] ||  -> equal(intersection(complement(intersection(u,v)),union(u,intersection(u,v))),symmetric_difference(u,intersection(u,v)))**.
% 299.85/300.42  146737[0:SpR:146209.0,160.0] ||  -> equal(intersection(complement(intersection(u,v)),union(v,intersection(u,v))),symmetric_difference(v,intersection(u,v)))**.
% 299.85/300.42  148530[0:SpR:931.0,145868.1] || subclass(symmetrization_of(u),complement(intersection(u,inverse(u))))* -> equal(symmetric_difference(u,inverse(u)),symmetrization_of(u)).
% 299.85/300.42  148538[0:SpR:145868.1,931.0] || subclass(inverse(u),u) -> equal(intersection(complement(inverse(u)),symmetrization_of(u)),symmetric_difference(u,inverse(u)))**.
% 299.85/300.42  151638[0:Res:3780.1,8157.0] || equal(complement(complement(symmetric_difference(complement(u),complement(v)))),universal_class)** -> member(singleton(w),union(u,v))*.
% 299.85/300.42  154057[5:Res:153612.1,120.0] || equal(complement(compose(restrict(u,v,v),restrict(u,v,v))),universal_class)** -> transitive(u,v).
% 299.85/300.42  160713[5:SpR:120682.0,146057.0] ||  -> equal(intersection(segment(universal_class,u,v),cantor(cross_product(u,singleton(v)))),cantor(cross_product(u,singleton(v))))**.
% 299.85/300.42  162478[0:Res:122671.0,944.0] ||  -> subclass(u,complement(symmetric_difference(v,w))) member(not_subclass_element(u,complement(symmetric_difference(v,w))),union(v,w))*.
% 299.85/300.42  162497[0:Res:122671.0,596.0] ||  -> subclass(u,complement(restrict(v,w,x))) member(not_subclass_element(u,complement(restrict(v,w,x))),v)*.
% 299.85/300.42  162526[0:Rew:27.0,162435.1] ||  -> member(not_subclass_element(u,union(v,w)),intersection(complement(v),complement(w)))* subclass(u,union(v,w)).
% 299.85/300.42  166733[5:Res:153612.1,65.1] || equal(complement(compose(u,inverse(u))),universal_class)** subclass(u,cross_product(universal_class,universal_class)) -> function(u).
% 299.85/300.42  166485[5:SpR:145868.1,5248.1] || subclass(inverse(u),u)* asymmetric(u,v) -> equal(restrict(inverse(u),v,v),identity_relation)**.
% 299.85/300.42  166722[5:SpL:145868.1,5249.0] || subclass(inverse(u),u)* equal(restrict(inverse(u),v,v),identity_relation)** -> asymmetric(u,v).
% 299.85/300.42  168051[5:Res:5294.1,119659.0] || member(regular(intersection(symmetric_difference(universal_class,u),v)),u)* -> equal(intersection(symmetric_difference(universal_class,u),v),identity_relation).
% 299.85/300.42  168052[5:Res:5294.1,119626.0] ||  -> equal(intersection(symmetric_difference(universal_class,u),v),identity_relation) member(regular(intersection(symmetric_difference(universal_class,u),v)),complement(u))*.
% 299.85/300.42  168150[5:Res:5295.1,119659.0] || member(regular(intersection(u,symmetric_difference(universal_class,v))),v)* -> equal(intersection(u,symmetric_difference(universal_class,v)),identity_relation).
% 299.85/300.42  168151[5:Res:5295.1,119626.0] ||  -> equal(intersection(u,symmetric_difference(universal_class,v)),identity_relation) member(regular(intersection(u,symmetric_difference(universal_class,v))),complement(v))*.
% 299.85/300.42  8485[5:Res:8453.1,134.1] || equal(domain_of(restrict(u,v,w)),identity_relation)** subclass(w,v) -> section(u,w,v).
% 299.85/300.42  26087[5:SpR:123.0,25853.0] ||  -> equal(union(cantor(restrict(u,v,singleton(w))),identity_relation),complement(symmetric_difference(segment(u,v,w),universal_class)))**.
% 299.85/300.42  28669[5:Res:8453.1,725.0] || equal(cross_product(cross_product(universal_class,universal_class),universal_class),identity_relation) -> equal(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(u))*.
% 299.85/300.42  28650[5:Res:8453.1,724.0] || equal(cross_product(cross_product(universal_class,universal_class),universal_class),identity_relation) -> equal(cross_product(cross_product(universal_class,universal_class),universal_class),flip(u))*.
% 299.85/300.42  106266[5:Res:106230.1,1002.1] || subclass(universal_class,complement(sum_class(singleton(unordered_pair(u,v)))))* -> equal(sum_class(singleton(unordered_pair(u,v))),identity_relation).
% 299.85/300.42  117915[5:Res:5343.1,25.1] || member(regular(restrict(complement(u),v,w)),u)* -> equal(restrict(complement(u),v,w),identity_relation).
% 299.85/300.42  117921[5:Res:5343.1,29473.0] ||  -> equal(restrict(domain_of(u),v,w),identity_relation) member(regular(restrict(domain_of(u),v,w)),cantor(u))*.
% 299.85/300.42  120323[5:SpL:118447.0,8157.0] || member(u,symmetric_difference(complement(v),union(w,identity_relation)))* -> member(u,union(v,symmetric_difference(universal_class,w))).
% 299.85/300.42  125971[5:Res:5288.2,614.0] || subclass(omega,cantor(u)) -> equal(integer_of(not_subclass_element(v,domain_of(u))),identity_relation)** subclass(v,domain_of(u)).
% 299.85/300.42  125951[5:Res:5288.2,655.0] || subclass(omega,rest_relation) -> equal(integer_of(singleton(singleton(singleton(u)))),identity_relation)** equal(rest_of(singleton(u)),u).
% 299.85/300.42  125953[5:Res:5288.2,657.0] || subclass(omega,successor_relation) -> equal(integer_of(singleton(singleton(singleton(u)))),identity_relation)** equal(successor(singleton(u)),u).
% 299.85/300.42  123109[5:Rew:122359.0,123108.0] || member(regular(intersection(complement(u),v)),complement(complement(u)))* -> equal(intersection(complement(u),v),identity_relation).
% 299.85/300.42  123101[5:Rew:122359.0,123100.0] || member(regular(intersection(u,complement(v))),complement(complement(v)))* -> equal(intersection(u,complement(v)),identity_relation).
% 299.85/300.42  125893[5:Res:5288.2,8165.1] || subclass(omega,intersection(u,v)) member(w,symmetric_difference(u,v))* -> equal(integer_of(w),identity_relation).
% 299.85/300.42  120321[5:SpL:118447.0,8157.0] || member(u,symmetric_difference(union(v,identity_relation),complement(w)))* -> member(u,union(symmetric_difference(universal_class,v),w)).
% 299.85/300.42  29501[5:MRR:29454.0,29469.1] || member(u,union(v,identity_relation))* subclass(symmetric_difference(complement(v),universal_class),w)* -> member(u,w)*.
% 299.85/300.42  168354[5:Res:122671.0,5405.0] || member(not_subclass_element(u,complement(regular(v))),v)* -> subclass(u,complement(regular(v))) equal(v,identity_relation).
% 299.85/300.42  113746[5:Obv:113679.2] || subclass(sum_class(singleton(u)),complement(v))* member(u,v) -> equal(sum_class(singleton(u)),identity_relation).
% 299.85/300.42  118462[5:Rew:118446.0,106250.1] ||  -> equal(sum_class(singleton(u)),identity_relation) equal(symmetric_difference(sum_class(singleton(u)),u),union(sum_class(singleton(u)),u))**.
% 299.85/300.42  113987[5:Obv:113923.1] || subclass(intersection(singleton(u),v),w)* -> equal(intersection(singleton(u),v),identity_relation) member(u,w).
% 299.85/300.42  114210[5:Obv:114145.1] || subclass(intersection(u,singleton(v)),w)* -> equal(intersection(u,singleton(v)),identity_relation) member(v,w).
% 299.85/300.42  47920[5:Res:5214.2,8165.1] || subclass(u,intersection(v,w)) member(regular(u),symmetric_difference(v,w))* -> equal(u,identity_relation).
% 299.85/300.42  117540[5:Res:117277.0,5322.1] || subclass(u,complement(inverse(singleton(regular(u)))))* -> asymmetric(singleton(regular(u)),v)* equal(u,identity_relation).
% 299.85/300.42  117847[5:SpL:22914.0,5321.0] || subclass(u,symmetric_difference(complement(v),universal_class)) -> equal(u,identity_relation) member(regular(u),union(v,identity_relation))*.
% 299.85/300.42  117851[5:SpL:160.0,5321.0] || subclass(u,symmetric_difference(v,w)) -> equal(u,identity_relation) member(regular(u),complement(intersection(v,w)))*.
% 299.85/300.42  122941[5:Rew:119684.0,52338.0] || subclass(u,symmetric_difference(universal_class,v)) member(regular(u),union(v,identity_relation))* -> equal(u,identity_relation).
% 299.85/300.42  119619[5:SpR:118446.0,5400.1] || asymmetric(universal_class,singleton(u)) -> equal(range__dfg(inverse(universal_class),u,singleton(u)),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.85/300.42  33431[5:Res:8453.1,1014.1] || equal(identity_relation,u) section(v,u,w) -> equal(domain_of(restrict(v,w,u)),u)**.
% 299.85/300.42  25841[5:Rew:22914.0,25795.0] ||  -> subclass(symmetric_difference(complement(u),universal_class),v) member(not_subclass_element(symmetric_difference(complement(u),universal_class),v),union(u,identity_relation))*.
% 299.85/300.42  122936[5:Rew:119684.0,47683.0] ||  -> member(not_subclass_element(complement(union(u,identity_relation)),v),symmetric_difference(universal_class,u))* subclass(complement(union(u,identity_relation)),v).
% 299.85/300.42  27107[5:Res:943.1,6463.1] || member(ordered_pair(identity_relation,identity_relation),symmetric_difference(u,v))* subclass(domain_relation,complement(complement(intersection(u,v)))) -> .
% 299.85/300.42  28194[5:Res:27132.1,595.0] || subclass(domain_relation,complement(complement(restrict(u,v,w))))* -> member(ordered_pair(identity_relation,identity_relation),cross_product(v,w)).
% 299.85/300.42  24273[5:Res:5615.1,588.0] || subclass(domain_relation,intersection(complement(u),complement(v))) member(ordered_pair(identity_relation,identity_relation),union(u,v))* -> .
% 299.85/300.42  6459[5:Res:5615.1,9.0] || subclass(domain_relation,unordered_pair(u,v))* -> equal(ordered_pair(identity_relation,identity_relation),v) equal(ordered_pair(identity_relation,identity_relation),u).
% 299.85/300.42  28212[5:Res:27132.1,5405.0] || subclass(domain_relation,complement(complement(regular(u))))* member(ordered_pair(identity_relation,identity_relation),u) -> equal(u,identity_relation).
% 299.85/300.42  106272[5:Res:106230.1,6463.1] || subclass(domain_relation,complement(sum_class(singleton(ordered_pair(identity_relation,identity_relation)))))* -> equal(sum_class(singleton(ordered_pair(identity_relation,identity_relation))),identity_relation).
% 299.85/300.42  40727[0:SpL:123.0,40700.0] || member(restrict(u,v,singleton(w)),segment(u,v,w))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.42  47749[5:Res:783.1,22549.1] || subclass(ordered_pair(u,v),complement(compose(element_relation,universal_class)))* member(unordered_pair(u,singleton(v)),element_relation) -> .
% 299.85/300.42  27431[5:Res:766.2,22549.1] || subclass(u,complement(compose(element_relation,universal_class)))* member(not_subclass_element(u,v),element_relation)* -> subclass(u,v).
% 299.85/300.42  27433[5:Res:765.2,22549.1] || member(u,universal_class) subclass(universal_class,complement(compose(element_relation,universal_class)))* member(sum_class(u),element_relation)* -> .
% 299.85/300.42  27432[5:Res:764.2,22549.1] || member(u,universal_class) subclass(universal_class,complement(compose(element_relation,universal_class)))* member(power_class(u),element_relation)* -> .
% 299.85/300.42  51689[0:SpR:54.0,20366.2] || member(u,universal_class) subclass(rest_relation,rest_of(restrict(element_relation,universal_class,v)))* -> member(u,sum_class(v))*.
% 299.85/300.42  41073[0:Res:765.2,8834.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,inverse(v)))* -> member(sum_class(u),symmetrization_of(v))*.
% 299.85/300.42  41182[0:Res:765.2,8898.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,singleton(v)))* -> member(sum_class(u),successor(v))*.
% 299.85/300.42  122982[5:Rew:122359.0,122981.2] || member(u,universal_class) subclass(universal_class,complement(v)) member(sum_class(u),complement(complement(v)))* -> .
% 299.85/300.42  50779[0:Res:29531.1,23342.0] || subclass(rest_relation,successor_relation) -> subclass(u,v) equal(rest_of(not_subclass_element(u,v)),successor(not_subclass_element(u,v)))**.
% 299.85/300.42  179782[7:Rew:22454.0,179773.1] || member(identity_relation,intersection(complement(u),complement(v))) -> member(identity_relation,complement(intersection(union(u,v),universal_class)))*.
% 299.85/300.42  39411[5:Res:29628.0,610.0] ||  -> equal(complement(complement(cantor(inverse(u)))),identity_relation) member(regular(complement(complement(cantor(inverse(u))))),range_of(u))*.
% 299.85/300.42  5607[5:Rew:5180.0,5029.0] ||  -> equal(intersection(cantor(inverse(u)),v),identity_relation) member(regular(intersection(cantor(inverse(u)),v)),range_of(u))*.
% 299.85/300.42  86999[0:Res:3728.1,79033.0] || equal(sum_class(cantor(inverse(u))),cantor(inverse(u))) -> subclass(sum_class(cantor(inverse(u))),range_of(u))*.
% 299.85/300.42  108259[0:Res:86994.1,28696.0] || equal(cantor(inverse(u)),rest_relation) well_ordering(v,range_of(u))* -> member(least(v,rest_relation),rest_relation)*.
% 299.85/300.42  34907[5:Res:29474.1,338.0] || member(not_subclass_element(complement(cantor(inverse(u))),v),range_of(u))* -> subclass(complement(cantor(inverse(u))),v).
% 299.85/300.42  87329[0:Res:86994.1,770.1] || equal(cantor(inverse(u)),unordered_pair(v,w))* member(w,universal_class) -> member(w,range_of(u))*.
% 299.85/300.42  87328[0:Res:86994.1,771.1] || equal(cantor(inverse(u)),unordered_pair(v,w))* member(v,universal_class) -> member(v,range_of(u))*.
% 299.85/300.42  5582[5:Rew:5180.0,4902.0] ||  -> equal(intersection(u,cantor(inverse(v))),identity_relation) member(regular(intersection(u,cantor(inverse(v)))),range_of(v))*.
% 299.85/300.42  113704[5:Res:29474.1,5322.1] || member(regular(u),range_of(v)) subclass(u,complement(cantor(inverse(v))))* -> equal(u,identity_relation).
% 299.85/300.42  168469[5:SpR:145868.1,5391.1] || subclass(inverse(u),u)* asymmetric(u,universal_class) -> equal(image(inverse(u),universal_class),range_of(identity_relation))**.
% 299.85/300.42  167483[5:SpL:579.0,165324.0] || equal(power_class(intersection(complement(u),complement(v))),universal_class)** -> equal(image(element_relation,union(u,v)),identity_relation).
% 299.85/300.42  50206[0:SpR:8659.0,57.1] || member(intersection(complement(u),complement(inverse(u))),universal_class)* -> member(complement(image(element_relation,symmetrization_of(u))),universal_class).
% 299.85/300.42  50107[0:SpR:8660.0,57.1] || member(intersection(complement(u),complement(singleton(u))),universal_class)* -> member(complement(image(element_relation,successor(u))),universal_class).
% 299.85/300.42  22799[5:Rew:22446.0,9049.0] ||  -> subclass(symmetric_difference(power_class(intersection(complement(u),complement(v))),universal_class),union(image(element_relation,union(u,v)),identity_relation))*.
% 299.85/300.42  177958[7:SpL:579.0,176819.0] || well_ordering(universal_class,power_class(intersection(complement(u),complement(v))))* -> member(identity_relation,image(element_relation,union(u,v))).
% 299.85/300.42  126546[5:SpR:579.0,119684.0] ||  -> equal(intersection(power_class(intersection(complement(u),complement(v))),universal_class),symmetric_difference(universal_class,image(element_relation,union(u,v))))**.
% 299.85/300.42  162693[0:SpR:579.0,162506.1] ||  -> member(u,image(element_relation,union(v,w))) subclass(singleton(u),power_class(intersection(complement(v),complement(w))))*.
% 299.85/300.42  115073[5:SpR:9093.0,22595.0] ||  -> equal(cantor(inverse(restrict(cross_product(u,universal_class),v,w))),intersection(image(cross_product(v,w),u),universal_class))**.
% 299.85/300.42  6550[5:SpR:6548.1,104.0] function(u) ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued3(identity_relation))),single_valued2(u)),single_valued3(u))**.
% 299.85/300.42  6574[5:SpR:6571.1,104.0] single_valued_class(u) ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued3(identity_relation))),single_valued2(u)),single_valued3(u))**.
% 299.85/300.42  26686[5:SpR:5410.0,22618.0] ||  -> equal(union(intersection(singleton(identity_relation),image(successor_relation,universal_class)),identity_relation),complement(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))))**.
% 299.85/300.42  79057[5:Res:45819.1,5197.1] || subclass(image(successor_relation,domain_of(u)),cantor(u))* member(identity_relation,domain_of(u)) -> inductive(domain_of(u)).
% 299.85/300.42  50775[0:Res:7512.1,23342.0] function(u) || subclass(rest_relation,successor_relation) -> equal(rest_of(apply(u,v)),successor(apply(u,v)))**.
% 299.85/300.42  32906[5:Res:5216.2,29473.0] || member(domain_of(u),universal_class) -> equal(domain_of(u),identity_relation) member(apply(choice,domain_of(u)),cantor(u))*.
% 299.85/300.42  30727[5:Rew:22519.0,30679.1,22519.0,30679.0] || member(cantor(u),universal_class) -> equal(cantor(u),identity_relation) member(apply(choice,cantor(u)),domain_of(u))*.
% 299.85/300.42  178406[14:SpL:579.0,178302.1] inductive(image(element_relation,union(u,v))) || equal(power_class(intersection(complement(u),complement(v))),omega)** -> .
% 299.85/300.42  8668[3:SpL:579.0,3957.1] inductive(image(element_relation,union(u,v))) || equal(power_class(intersection(complement(u),complement(v))),universal_class)** -> .
% 299.85/300.42  29599[5:Res:5420.2,29469.0] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(compose_class(v),identity_relation) member(least(u,compose_class(v)),universal_class)*.
% 299.85/300.42  29600[5:Res:5419.2,29469.0] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(rest_of(v),identity_relation) member(least(u,rest_of(v)),universal_class)*.
% 299.85/300.42  3917[0:Res:779.1,128.3] || subclass(universal_class,u) member(v,w)* subclass(w,x)* well_ordering(u,x)* -> .
% 299.85/300.42  8351[5:Res:8325.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(v,w),least(u,intersection(v,w))),identity_relation)**.
% 299.85/300.42  8257[5:Res:8231.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(w,v),least(u,intersection(w,v))),identity_relation)**.
% 299.85/300.42  47708[5:Res:47673.0,5259.0] || well_ordering(u,v) -> equal(segment(u,complement(complement(v)),least(u,complement(complement(v)))),identity_relation)**.
% 299.85/300.42  48805[5:Res:5403.2,2.0] || well_ordering(u,v) subclass(v,w) -> equal(v,identity_relation) member(least(u,v),w)*.
% 299.85/300.42  48806[5:Res:5403.2,25.1] || well_ordering(u,complement(v)) member(least(u,complement(v)),v)* -> equal(complement(v),identity_relation).
% 299.85/300.42  8366[5:Res:8346.0,5215.0] || well_ordering(u,domain_of(v)) -> equal(cantor(v),identity_relation) member(least(u,cantor(v)),cantor(v))*.
% 299.85/300.42  48816[5:Res:5403.2,29473.0] || well_ordering(u,domain_of(v)) -> equal(domain_of(v),identity_relation) member(least(u,domain_of(v)),cantor(v))*.
% 299.85/300.42  89689[5:SpL:5338.1,86931.0] || equal(u,regular(cross_product(v,w)))* well_ordering(universal_class,u)* -> equal(cross_product(v,w),identity_relation).
% 299.85/300.42  49001[3:Res:28061.2,2.0] inductive(u) || well_ordering(v,u) subclass(u,w) -> member(least(v,u),w)*.
% 299.85/300.42  125551[7:Res:125513.0,126.0] || subclass(singleton(identity_relation),u)* well_ordering(v,u)* -> member(least(v,singleton(identity_relation)),singleton(identity_relation))*.
% 299.85/300.42  183418[5:Res:5265.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,universal_class))),identity_relation)**.
% 299.85/300.42  183529[14:Res:178017.0,5490.0] || subclass(omega,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,omega))),identity_relation)**.
% 299.85/300.42  46310[0:Res:26.2,3924.0] || member(u,universal_class)* subclass(complement(v),w)* well_ordering(universal_class,w) -> member(u,v)*.
% 299.85/300.42  46360[0:Res:780.2,3924.0] || member(u,universal_class)* subclass(rest_relation,v)* subclass(v,w)* well_ordering(universal_class,w)* -> .
% 299.85/300.42  46325[0:Res:98.1,3924.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,w) well_ordering(universal_class,w)* -> .
% 299.85/300.42  89659[5:SpL:5338.1,46366.0] || subclass(regular(cross_product(u,v)),w)* well_ordering(universal_class,w) -> equal(cross_product(u,v),identity_relation).
% 299.85/300.42  46349[0:Res:29470.2,3924.0] || member(u,universal_class)* member(v,u)* subclass(element_relation,w) well_ordering(universal_class,w)* -> .
% 299.85/300.42  152785[0:Res:122840.1,8157.0] || well_ordering(universal_class,complement(symmetric_difference(complement(u),complement(v))))* -> member(singleton(singleton(w)),union(u,v))*.
% 299.85/300.42  149989[0:SpL:123.0,122838.1] || subclass(rest_relation,rest_of(restrict(u,v,singleton(w))))* well_ordering(universal_class,segment(u,v,w)) -> .
% 299.85/300.42  49002[3:Res:28061.2,25.1] inductive(complement(u)) || well_ordering(v,complement(u)) member(least(v,complement(u)),u)* -> .
% 299.85/300.42  46847[3:Res:28041.2,2.0] inductive(u) || well_ordering(v,universal_class) subclass(u,w) -> member(least(v,u),w)*.
% 299.85/300.42  28074[5:Res:8346.0,3692.1] inductive(cantor(u)) || well_ordering(v,domain_of(u)) -> member(least(v,cantor(u)),cantor(u))*.
% 299.85/300.42  49012[5:Res:28061.2,29473.0] inductive(domain_of(u)) || well_ordering(v,domain_of(u)) -> member(least(v,domain_of(u)),cantor(u))*.
% 299.85/300.42  46851[3:Res:28041.2,22.0] inductive(intersection(u,v)) || well_ordering(w,universal_class) -> member(least(w,intersection(u,v)),u)*.
% 299.85/300.42  46852[3:Res:28041.2,23.0] inductive(intersection(u,v)) || well_ordering(w,universal_class) -> member(least(w,intersection(u,v)),v)*.
% 299.85/300.42  8474[5:Res:8453.1,5259.0] || equal(identity_relation,u) well_ordering(v,w)* -> equal(segment(v,u,least(v,u)),identity_relation)**.
% 299.85/300.42  153867[5:Res:153612.1,3412.1] || equal(complement(sum_class(u)),universal_class)** well_ordering(element_relation,u) -> equal(u,universal_class) member(u,universal_class).
% 299.85/300.42  31799[5:Res:8453.1,989.1] || equal(identity_relation,u) connected(v,u) -> well_ordering(v,u) equal(not_well_ordering(v,u),u)**.
% 299.85/300.42  46831[5:MRR:46824.2,5247.1] || connected(u,singleton(v)) -> well_ordering(u,singleton(v)) equal(regular(not_well_ordering(u,singleton(v))),v)**.
% 299.85/300.42  189283[7:Res:24.2,125680.1] || member(identity_relation,u) member(identity_relation,v) equal(complement(intersection(v,u)),singleton(identity_relation))** -> .
% 299.85/300.42  189547[7:Rew:189431.0,165801.0] || member(u,intersection(complement(v),singleton(identity_relation)))* member(u,union(v,complement(singleton(identity_relation)))) -> .
% 299.85/300.42  189550[7:Rew:189431.0,165796.0] || member(u,intersection(singleton(identity_relation),complement(v)))* member(u,union(complement(singleton(identity_relation)),v)) -> .
% 299.85/300.42  189747[7:Rew:189431.0,189582.0] || subclass(image(element_relation,singleton(identity_relation)),power_class(complement(singleton(identity_relation))))* -> equal(image(element_relation,singleton(identity_relation)),identity_relation).
% 299.85/300.42  189593[7:Rew:189431.0,165764.1] || member(u,universal_class) -> member(u,image(element_relation,singleton(identity_relation)))* member(u,power_class(complement(singleton(identity_relation)))).
% 299.85/300.42  189624[7:Rew:189431.0,179205.0] || subclass(power_class(complement(singleton(identity_relation))),image(element_relation,singleton(identity_relation)))* -> equal(power_class(complement(singleton(identity_relation))),identity_relation).
% 299.85/300.42  191649[15:MRR:167511.2,191629.0] single_valued_class(image(element_relation,union(u,v))) || equal(power_class(intersection(complement(u),complement(v))),universal_class)** -> .
% 299.85/300.42  191758[15:SpR:191728.0,59.1] || member(ordered_pair(range_of(identity_relation),u),compose(v,w))* -> member(u,image(v,image(w,identity_relation))).
% 299.85/300.42  192072[15:SpR:191735.0,17.2] || member(range_of(identity_relation),u) member(identity_relation,v) -> member(singleton(singleton(identity_relation)),cross_product(v,u))*.
% 299.85/300.42  192420[12:SpR:192336.1,14.0] || member(u,universal_class) -> equal(unordered_pair(identity_relation,unordered_pair(range_of(u),singleton(v))),ordered_pair(range_of(u),v))**.
% 299.85/300.42  193420[7:SpL:123.0,176818.1] || member(identity_relation,cantor(restrict(u,v,singleton(w))))* well_ordering(universal_class,segment(u,v,w)) -> .
% 299.85/300.42  194160[15:Res:192110.1,8157.0] || equal(symmetric_difference(complement(u),complement(v)),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),union(u,v))*.
% 299.85/300.42  194167[15:Res:192110.1,9.0] || equal(unordered_pair(u,v),singleton(singleton(identity_relation)))** -> equal(singleton(identity_relation),v) equal(singleton(identity_relation),u).
% 299.85/300.42  194193[7:SpR:123.0,193112.1] || equal(cantor(restrict(u,v,singleton(w))),singleton(identity_relation))** -> member(identity_relation,segment(u,v,w)).
% 299.85/300.42  194661[5:Rew:119684.0,194634.1] || equal(inverse(u),universal_class) -> equal(symmetric_difference(universal_class,intersection(u,inverse(u))),symmetric_difference(u,inverse(u)))**.
% 299.85/300.42  194896[5:SpR:168067.1,939.0] || equal(complement(complement(restrict(u,v,w))),universal_class)** -> equal(symmetric_difference(cross_product(v,w),u),identity_relation).
% 299.85/300.42  194897[5:SpR:168067.1,938.0] || equal(complement(complement(restrict(u,v,w))),universal_class)** -> equal(symmetric_difference(u,cross_product(v,w)),identity_relation).
% 299.85/300.42  195014[5:SpL:123.0,194882.0] || equal(complement(segment(u,v,w)),universal_class) -> equal(cantor(restrict(u,v,singleton(w))),identity_relation)**.
% 299.85/300.42  195183[17:Rew:195144.1,153514.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(universal_class,v)) member(ordered_pair(u,identity_relation),v)* -> .
% 299.85/300.42  195199[17:Rew:195144.1,20164.2] || member(u,universal_class) subclass(domain_relation,cantor(inverse(v))) -> member(ordered_pair(u,identity_relation),range_of(v))*.
% 299.85/300.42  195202[17:Rew:195144.1,153456.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(universal_class,v)) -> member(ordered_pair(u,identity_relation),complement(v))*.
% 299.85/300.42  197134[17:Obv:197132.1] || equal(rest_of(u),rest_relation) -> equal(regular(unordered_pair(v,u)),v)** equal(unordered_pair(v,u),identity_relation).
% 299.85/300.42  197135[17:Obv:197131.1] || equal(rest_of(u),rest_relation) -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.42  197212[17:SpR:196425.0,14.0] ||  -> equal(range_of(u),identity_relation) equal(unordered_pair(identity_relation,unordered_pair(inverse(u),singleton(v))),ordered_pair(inverse(u),v))**.
% 299.85/300.42  197537[17:Obv:197494.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),w),u)** subclass(unordered_pair(u,v),w) equal(domain_of(v),identity_relation).
% 299.85/300.42  197538[17:Obv:197493.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),w),v)** subclass(unordered_pair(u,v),w) equal(domain_of(u),identity_relation).
% 299.85/300.42  197597[17:Obv:197563.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),w),u)** subclass(unordered_pair(u,v),w) equal(cantor(v),identity_relation).
% 299.85/300.42  197598[17:Obv:197562.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),w),v)** subclass(unordered_pair(u,v),w) equal(cantor(u),identity_relation).
% 299.85/300.42  197825[17:SSi:197812.0,70.0] ||  -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),u)** equal(domain_of(v),identity_relation).
% 299.85/300.42  197826[17:SSi:197813.0,70.0] ||  -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),u)** equal(cantor(v),identity_relation).
% 299.85/300.42  197827[17:SSi:197821.0,70.0] ||  -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)** equal(domain_of(u),identity_relation).
% 299.85/300.42  197828[17:SSi:197822.0,70.0] ||  -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)** equal(cantor(u),identity_relation).
% 299.85/300.42  198059[17:Res:195614.1,8157.0] || subclass(domain_relation,symmetric_difference(complement(u),complement(v))) -> member(singleton(singleton(singleton(identity_relation))),union(u,v))*.
% 299.85/300.42  199008[7:SpL:939.0,125684.0] || equal(symmetric_difference(cross_product(u,v),w),singleton(identity_relation)) -> member(identity_relation,complement(restrict(w,u,v)))*.
% 299.85/300.42  199009[7:SpL:938.0,125684.0] || equal(symmetric_difference(u,cross_product(v,w)),singleton(identity_relation)) -> member(identity_relation,complement(restrict(u,v,w)))*.
% 299.85/300.42  199256[15:Res:24.2,199206.0] || member(singleton(identity_relation),u) member(singleton(identity_relation),v) well_ordering(universal_class,intersection(v,u))* -> .
% 299.85/300.42  200720[5:SpR:200704.1,14.0] || equal(u,universal_class) -> inductive(u) equal(unordered_pair(identity_relation,unordered_pair(u,singleton(v))),ordered_pair(u,v))**.
% 299.85/300.42  201359[5:SpR:177103.1,146221.1] || equal(complement(u),universal_class) subclass(complement(u),v) -> subclass(symmetric_difference(v,complement(u)),identity_relation)*.
% 299.85/300.42  201364[5:SpR:177104.1,146221.1] || equal(inverse(u),universal_class) subclass(inverse(u),v) -> subclass(symmetric_difference(v,inverse(u)),identity_relation)*.
% 299.85/300.42  201374[5:SpR:177102.1,146221.1] || equal(power_class(u),universal_class) subclass(power_class(u),v) -> subclass(symmetric_difference(v,power_class(u)),identity_relation)*.
% 299.85/300.42  201375[5:SpR:177451.1,146221.1] || equal(sum_class(u),universal_class) subclass(sum_class(u),v) -> subclass(symmetric_difference(v,sum_class(u)),identity_relation)*.
% 299.85/300.42  201376[5:SpR:177107.1,146221.1] || equal(range_of(u),universal_class) subclass(range_of(u),v) -> subclass(symmetric_difference(v,range_of(u)),identity_relation)*.
% 299.85/300.42  201788[5:SpR:579.0,201674.1] || subclass(image(element_relation,union(u,v)),identity_relation) -> subclass(universal_class,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.42  202967[5:SpR:202351.1,579.0] || equal(image(element_relation,union(u,v)),identity_relation) -> equal(power_class(intersection(complement(u),complement(v))),universal_class)**.
% 299.85/300.42  203112[5:SpL:202351.1,8157.0] || equal(identity_relation,u) member(v,symmetric_difference(complement(w),universal_class))* -> member(v,union(w,u))*.
% 299.85/300.42  203336[5:Rew:119684.0,203113.1] || equal(identity_relation,u) member(v,symmetric_difference(universal_class,w))* member(v,union(w,u))* -> .
% 299.85/300.42  203525[7:SpL:579.0,202413.0] || subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* -> member(identity_relation,image(element_relation,union(u,v))).
% 299.85/300.42  203602[5:SpL:579.0,202624.0] || subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* -> member(omega,image(element_relation,union(u,v))).
% 299.85/300.42  203764[5:Rew:6791.0,203745.2] || equal(complement(complement(symmetrization_of(u))),identity_relation)** connected(u,v)* -> equal(cross_product(v,v),identity_relation)**.
% 299.85/300.42  204200[5:SpL:579.0,203645.0] || equal(power_class(intersection(complement(u),complement(v))),identity_relation)** -> equal(image(element_relation,union(u,v)),universal_class).
% 299.85/300.42  204398[5:Res:3654.2,203257.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,w)* equal(identity_relation,w) -> .
% 299.85/300.42  204813[5:Res:3654.2,204710.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,w)* subclass(w,identity_relation)* -> .
% 299.85/300.42  205461[5:Obv:205456.1] || equal(singleton(u),identity_relation) -> equal(regular(unordered_pair(v,u)),v)** equal(unordered_pair(v,u),identity_relation).
% 299.85/300.42  205462[5:Obv:205455.1] || equal(singleton(u),identity_relation) -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.42  205601[5:MRR:205571.2,8453.1] || equal(cantor(restrict(u,v,w)),identity_relation)** equal(identity_relation,w) -> section(u,w,v).
% 299.85/300.42  205602[5:MRR:205570.2,5184.0] || equal(cantor(restrict(u,v,w)),identity_relation)** subclass(w,v) -> section(u,w,v).
% 299.85/300.42  205706[5:MRR:205674.2,8453.1] || equal(rest_of(restrict(u,v,w)),identity_relation)** equal(identity_relation,w) -> section(u,w,v).
% 299.85/300.42  205707[5:MRR:205673.2,5184.0] || equal(rest_of(restrict(u,v,w)),identity_relation)** subclass(w,v) -> section(u,w,v).
% 299.85/300.42  205824[5:SpL:2089.1,203693.0] || equal(complement(complement(singleton(not_subclass_element(cross_product(u,v),w)))),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  205910[5:Rew:22454.0,205888.1] || subclass(intersection(complement(u),complement(v)),identity_relation)* -> equal(complement(intersection(union(u,v),universal_class)),identity_relation).
% 299.85/300.42  206433[12:EmS:5373.0,5373.1,72.1,200705.1] one_to_one(ordinal_add(u,v)) || equal(ordinal_add(u,v),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.42  206438[5:EmS:5373.0,5373.1,72.1,167517.1] one_to_one(apply(u,v)) || equal(apply(u,v),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.42  206442[5:EmS:5373.0,5373.1,72.1,167566.1] one_to_one(union(u,v)) || equal(union(u,v),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.42  206450[5:EmS:5373.0,5373.1,72.1,167596.1] one_to_one(image(u,v)) || equal(image(u,v),universal_class)** -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.42  208134[12:SpL:120676.0,168534.1] || member(cross_product(u,universal_class),universal_class)* equal(rest_of(cross_product(u,universal_class)),sum_class(image(universal_class,u))) -> .
% 299.85/300.42  210054[17:Rew:209320.1,209797.1] function(u) || asymmetric(v,identity_relation) -> equal(segment(intersection(v,inverse(v)),identity_relation,u),identity_relation)**.
% 299.85/300.42  210055[17:Rew:209320.1,209801.1] function(u) || member(image(v,identity_relation),universal_class) -> subclass(apply(v,u),image(v,identity_relation))*.
% 299.85/300.42  210268[15:SpL:210176.1,168537.2] one_to_one(u) || member(v,universal_class)* member(u,universal_class)* equal(sum_class(universal_class),v) -> .
% 299.85/300.42  210502[17:SpL:210378.1,5244.1] one_to_one(u) || member(inverse(u),domain_of(v))* equal(restrict(v,identity_relation,universal_class),identity_relation) -> .
% 299.85/300.42  210631[17:SoR:209434.0,4792.2] function(u) single_valued_class(apply(u,v)) || equal(apply(u,v),cross_product(universal_class,universal_class))** -> .
% 299.85/300.42  210651[17:SoR:209435.0,4792.2] single_valued_class(not_subclass_element(u,v)) || equal(cross_product(universal_class,universal_class),not_subclass_element(u,v))* -> subclass(u,v).
% 299.85/300.42  191359[5:Res:180196.1,8.0] || member(u,inverse(identity_relation)) subclass(symmetrization_of(identity_relation),singleton(u))* -> equal(symmetrization_of(identity_relation),singleton(u)).
% 299.85/300.42  179087[5:Rew:122494.0,179066.1] || subclass(power_class(complement(inverse(identity_relation))),image(element_relation,symmetrization_of(identity_relation)))* -> equal(power_class(complement(inverse(identity_relation))),identity_relation).
% 299.85/300.42  165855[5:SpR:124149.0,684.1] || member(u,universal_class) -> member(u,image(element_relation,symmetrization_of(identity_relation)))* member(u,power_class(complement(inverse(identity_relation)))).
% 299.85/300.42  179062[5:SpL:122494.0,113722.0] || subclass(image(element_relation,symmetrization_of(identity_relation)),power_class(complement(inverse(identity_relation))))* -> equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation).
% 299.85/300.42  165892[5:SpL:124149.0,588.0] || member(u,intersection(complement(v),symmetrization_of(identity_relation)))* member(u,union(v,complement(inverse(identity_relation)))) -> .
% 299.85/300.42  165887[5:SpL:124149.0,588.0] || member(u,intersection(symmetrization_of(identity_relation),complement(v)))* member(u,union(complement(inverse(identity_relation)),v)) -> .
% 299.85/300.42  33382[5:SpL:5309.0,3524.1] || member(ordered_pair(u,v),compose(identity_relation,w))* subclass(range_of(identity_relation),x)* -> member(v,x)*.
% 299.85/300.42  212351[20:Res:212334.0,126.0] || subclass(inverse(identity_relation),u)* well_ordering(v,u)* -> member(least(v,inverse(identity_relation)),inverse(identity_relation))*.
% 299.85/300.42  213697[5:SpR:123943.1,205376.1] || well_ordering(u,universal_class) equal(singleton(least(u,omega)),identity_relation)** -> equal(least(u,omega),identity_relation).
% 299.85/300.42  213699[17:SpR:123943.1,196367.1] || well_ordering(u,universal_class) equal(rest_of(least(u,omega)),rest_relation)** -> equal(least(u,omega),identity_relation).
% 299.85/300.42  213717[20:MRR:213712.1,212515.0] || well_ordering(u,symmetrization_of(identity_relation)) -> member(least(u,singleton(regular(symmetrization_of(identity_relation)))),singleton(regular(symmetrization_of(identity_relation))))*.
% 299.85/300.42  213853[17:Res:195387.1,2.0] || subclass(domain_relation,rotate(u))* subclass(u,v)* -> member(ordered_pair(ordered_pair(w,identity_relation),x),v)*.
% 299.85/300.42  213864[17:Res:195387.1,944.0] || subclass(domain_relation,rotate(symmetric_difference(u,v))) -> member(ordered_pair(ordered_pair(w,identity_relation),x),union(u,v))*.
% 299.85/300.42  213865[17:Res:195387.1,8898.0] || subclass(domain_relation,rotate(symmetric_difference(u,singleton(u))))* -> member(ordered_pair(ordered_pair(v,identity_relation),w),successor(u))*.
% 299.85/300.42  213868[17:Res:195387.1,8834.0] || subclass(domain_relation,rotate(symmetric_difference(u,inverse(u))))* -> member(ordered_pair(ordered_pair(v,identity_relation),w),symmetrization_of(u))*.
% 299.85/300.42  213955[17:Res:195388.1,2.0] || subclass(domain_relation,flip(u))* subclass(u,v)* -> member(ordered_pair(ordered_pair(w,x),identity_relation),v)*.
% 299.85/300.42  213966[17:Res:195388.1,944.0] || subclass(domain_relation,flip(symmetric_difference(u,v))) -> member(ordered_pair(ordered_pair(w,x),identity_relation),union(u,v))*.
% 299.85/300.42  213967[17:Res:195388.1,8898.0] || subclass(domain_relation,flip(symmetric_difference(u,singleton(u))))* -> member(ordered_pair(ordered_pair(v,w),identity_relation),successor(u))*.
% 299.85/300.42  213970[17:Res:195388.1,8834.0] || subclass(domain_relation,flip(symmetric_difference(u,inverse(u))))* -> member(ordered_pair(ordered_pair(v,w),identity_relation),symmetrization_of(u))*.
% 299.85/300.42  214396[20:Res:214392.0,126.0] || subclass(symmetrization_of(identity_relation),u)* well_ordering(v,u)* -> member(least(v,symmetrization_of(identity_relation)),symmetrization_of(identity_relation))*.
% 299.85/300.42  214466[12:SpL:192336.1,801.0] || member(u,universal_class) member(singleton(singleton(identity_relation)),cross_product(v,w))* -> member(range_of(u),w)*.
% 299.85/300.42  214470[17:SpL:196425.0,801.0] || member(singleton(singleton(identity_relation)),cross_product(u,v))* -> equal(range_of(w),identity_relation) member(inverse(w),v)*.
% 299.85/300.42  214981[4:Res:212361.1,588.0] || subclass(omega,intersection(complement(u),complement(v))) member(least(element_relation,omega),union(u,v))* -> .
% 299.85/300.42  214992[4:Res:212361.1,9.0] || subclass(omega,unordered_pair(u,v))* -> equal(least(element_relation,omega),v) equal(least(element_relation,omega),u).
% 299.85/300.42  215130[20:Res:212523.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v))) member(regular(symmetrization_of(identity_relation)),union(u,v))* -> .
% 299.85/300.42  215238[4:Res:212539.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v))) member(least(element_relation,omega),union(u,v))* -> .
% 299.85/300.42  216710[5:Rew:119684.0,216644.2,22454.0,216644.2] || equal(u,universal_class) -> inductive(u) equal(complement(image(element_relation,successor(u))),power_class(symmetric_difference(universal_class,u)))**.
% 299.85/300.42  216711[12:Rew:119684.0,216646.1,22454.0,216646.1] || member(u,universal_class) -> equal(complement(image(element_relation,successor(range_of(u)))),power_class(symmetric_difference(universal_class,range_of(u))))**.
% 299.85/300.42  216712[17:Rew:119684.0,216650.1,22454.0,216650.1] ||  -> equal(range_of(u),identity_relation) equal(complement(image(element_relation,successor(inverse(u)))),power_class(symmetric_difference(universal_class,inverse(u))))**.
% 299.85/300.42  217383[5:SpL:123.0,203726.0] || equal(complement(segment(u,v,w)),identity_relation) -> equal(cantor(restrict(u,v,singleton(w))),universal_class)**.
% 299.85/300.42  217591[5:SpR:122711.0,202351.1] || equal(intersection(complement(u),union(v,identity_relation)),identity_relation)** -> equal(union(u,symmetric_difference(universal_class,v)),universal_class).
% 299.85/300.42  217605[5:SpR:122711.0,119684.0] ||  -> equal(symmetric_difference(universal_class,intersection(complement(u),union(v,identity_relation))),intersection(union(u,symmetric_difference(universal_class,v)),universal_class))**.
% 299.85/300.42  217606[5:SpR:122711.0,22542.0] ||  -> subclass(symmetric_difference(union(u,symmetric_difference(universal_class,v)),universal_class),union(intersection(complement(u),union(v,identity_relation)),identity_relation))*.
% 299.85/300.42  217644[5:SpR:122711.0,162506.1] ||  -> member(u,intersection(complement(v),union(w,identity_relation)))* subclass(singleton(u),union(v,symmetric_difference(universal_class,w))).
% 299.85/300.42  217664[15:SpR:191858.0,122711.0] ||  -> equal(complement(intersection(complement(u),successor(sum_class(range_of(identity_relation))))),union(u,symmetric_difference(universal_class,sum_class(range_of(identity_relation)))))**.
% 299.85/300.42  217672[5:SpR:118447.0,122711.0] ||  -> equal(complement(intersection(union(u,identity_relation),union(v,identity_relation))),union(symmetric_difference(universal_class,u),symmetric_difference(universal_class,v)))**.
% 299.85/300.42  217703[5:SpL:122711.0,165324.0] || equal(union(u,symmetric_difference(universal_class,v)),universal_class) -> equal(intersection(complement(u),union(v,identity_relation)),identity_relation)**.
% 299.85/300.42  217707[5:SpL:122711.0,3957.1] inductive(intersection(complement(u),union(v,identity_relation))) || equal(union(u,symmetric_difference(universal_class,v)),universal_class)** -> .
% 299.85/300.42  217731[5:SpL:122711.0,203645.0] || equal(union(u,symmetric_difference(universal_class,v)),identity_relation) -> equal(intersection(complement(u),union(v,identity_relation)),universal_class)**.
% 299.85/300.42  217737[14:SpL:122711.0,178302.1] inductive(intersection(complement(u),union(v,identity_relation))) || equal(union(u,symmetric_difference(universal_class,v)),omega)** -> .
% 299.85/300.42  217742[7:SpL:122711.0,176819.0] || well_ordering(universal_class,union(u,symmetric_difference(universal_class,v))) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.42  217749[5:SpL:122711.0,202624.0] || subclass(union(u,symmetric_difference(universal_class,v)),identity_relation) -> member(omega,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.42  217750[7:SpL:122711.0,202413.0] || subclass(union(u,symmetric_difference(universal_class,v)),identity_relation) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.42  217818[15:MRR:217817.2,191629.0] single_valued_class(intersection(complement(u),union(v,identity_relation))) || equal(union(u,symmetric_difference(universal_class,v)),universal_class)** -> .
% 299.85/300.42  217885[5:SpL:118447.0,5360.0] || subclass(omega,union(u,identity_relation)) member(v,symmetric_difference(universal_class,u))* -> equal(integer_of(v),identity_relation).
% 299.85/300.42  218188[5:SpR:122708.0,202351.1] || equal(intersection(union(u,identity_relation),complement(v)),identity_relation)** -> equal(union(symmetric_difference(universal_class,u),v),universal_class).
% 299.85/300.42  218202[5:SpR:122708.0,119684.0] ||  -> equal(symmetric_difference(universal_class,intersection(union(u,identity_relation),complement(v))),intersection(union(symmetric_difference(universal_class,u),v),universal_class))**.
% 299.85/300.42  218203[5:SpR:122708.0,22542.0] ||  -> subclass(symmetric_difference(union(symmetric_difference(universal_class,u),v),universal_class),union(intersection(union(u,identity_relation),complement(v)),identity_relation))*.
% 299.85/300.42  218241[5:SpR:122708.0,162506.1] ||  -> member(u,intersection(union(v,identity_relation),complement(w)))* subclass(singleton(u),union(symmetric_difference(universal_class,v),w)).
% 299.85/300.42  218284[15:SpR:191858.0,122708.0] ||  -> equal(complement(intersection(successor(sum_class(range_of(identity_relation))),complement(u))),union(symmetric_difference(universal_class,sum_class(range_of(identity_relation))),u))**.
% 299.85/300.42  218291[5:SpR:145868.1,122708.0] || subclass(complement(u),union(v,identity_relation))* -> equal(union(symmetric_difference(universal_class,v),u),complement(complement(u))).
% 299.85/300.42  218300[5:SpL:122708.0,165324.0] || equal(union(symmetric_difference(universal_class,u),v),universal_class) -> equal(intersection(union(u,identity_relation),complement(v)),identity_relation)**.
% 299.85/300.42  218304[5:SpL:122708.0,3957.1] inductive(intersection(union(u,identity_relation),complement(v))) || equal(union(symmetric_difference(universal_class,u),v),universal_class)** -> .
% 299.85/300.42  218328[5:SpL:122708.0,203645.0] || equal(union(symmetric_difference(universal_class,u),v),identity_relation) -> equal(intersection(union(u,identity_relation),complement(v)),universal_class)**.
% 299.85/300.42  218335[14:SpL:122708.0,178302.1] inductive(intersection(union(u,identity_relation),complement(v))) || equal(union(symmetric_difference(universal_class,u),v),omega)** -> .
% 299.85/300.42  218340[7:SpL:122708.0,176819.0] || well_ordering(universal_class,union(symmetric_difference(universal_class,u),v)) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.42  218347[5:SpL:122708.0,202624.0] || subclass(union(symmetric_difference(universal_class,u),v),identity_relation) -> member(omega,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.42  218348[7:SpL:122708.0,202413.0] || subclass(union(symmetric_difference(universal_class,u),v),identity_relation) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.42  218412[15:MRR:218411.2,191629.0] single_valued_class(intersection(union(u,identity_relation),complement(v))) || equal(union(symmetric_difference(universal_class,u),v),universal_class)** -> .
% 299.85/300.42  219582[11:Res:207964.1,8157.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v))) -> member(regular(complement(power_class(identity_relation))),union(u,v))*.
% 299.85/300.42  219653[5:SpL:22914.0,5467.0] || subclass(omega,symmetric_difference(complement(u),universal_class))* -> equal(integer_of(v),identity_relation) member(v,union(u,identity_relation))*.
% 299.85/300.42  219655[5:SpL:160.0,5467.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(w),identity_relation) member(w,complement(intersection(u,v)))*.
% 299.85/300.42  219734[10:Res:208146.1,8157.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v))) -> member(regular(complement(power_class(universal_class))),union(u,v))*.
% 299.85/300.42  220065[17:SpR:209749.1,5544.1] function(u) || subclass(omega,element_relation) -> equal(integer_of(singleton(singleton(identity_relation))),identity_relation)** member(identity_relation,u)*.
% 299.85/300.42  220434[9:Res:207805.1,8157.0] || subclass(universal_class,symmetric_difference(complement(u),complement(v))) -> member(regular(complement(symmetrization_of(identity_relation))),union(u,v))*.
% 299.85/300.42  220636[20:Res:212352.1,8157.0] || subclass(inverse(identity_relation),symmetric_difference(complement(u),complement(v)))* -> member(regular(symmetrization_of(identity_relation)),union(u,v)).
% 299.85/300.42  221150[0:Res:3780.1,776.0] || equal(complement(complement(cantor(u))),universal_class)** subclass(domain_of(u),v)* -> member(singleton(w),v)*.
% 299.85/300.42  221180[17:Res:195614.1,776.0] || subclass(domain_relation,cantor(u)) subclass(domain_of(u),v)* -> member(singleton(singleton(singleton(identity_relation))),v)*.
% 299.85/300.42  221181[0:Res:122840.1,776.0] || well_ordering(universal_class,complement(cantor(u)))* subclass(domain_of(u),v)* -> member(singleton(singleton(w)),v)*.
% 299.85/300.42  221182[15:Res:192110.1,776.0] || equal(cantor(u),singleton(singleton(identity_relation))) subclass(domain_of(u),v)* -> member(singleton(identity_relation),v)*.
% 299.85/300.42  221192[20:Res:212352.1,776.0] || subclass(inverse(identity_relation),cantor(u))* subclass(domain_of(u),v)* -> member(regular(symmetrization_of(identity_relation)),v)*.
% 299.85/300.42  221431[20:Res:214397.1,8157.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(complement(u),complement(v)))* -> member(regular(symmetrization_of(identity_relation)),union(u,v)).
% 299.85/300.42  221441[20:Res:214397.1,776.0] || subclass(symmetrization_of(identity_relation),cantor(u))* subclass(domain_of(u),v)* -> member(regular(symmetrization_of(identity_relation)),v)*.
% 299.85/300.42  221924[5:Res:220369.1,34675.0] || member(not_subclass_element(u,intersection(symmetrization_of(identity_relation),u)),inverse(identity_relation))* -> subclass(u,intersection(symmetrization_of(identity_relation),u)).
% 299.85/300.42  222291[5:Res:780.2,222174.0] || member(u,universal_class) subclass(rest_relation,symmetrization_of(identity_relation)) -> member(ordered_pair(u,rest_of(u)),inverse(identity_relation))*.
% 299.85/300.42  222319[5:Res:5343.1,222174.0] ||  -> equal(restrict(symmetrization_of(identity_relation),u,v),identity_relation) member(regular(restrict(symmetrization_of(identity_relation),u,v)),inverse(identity_relation))*.
% 299.85/300.42  222711[0:Res:366.1,222432.0] ||  -> subclass(intersection(complement(complement(u)),v),w) member(not_subclass_element(intersection(complement(complement(u)),v),w),u)*.
% 299.85/300.42  222722[0:Res:780.2,222432.0] || member(u,universal_class) subclass(rest_relation,complement(complement(v))) -> member(ordered_pair(u,rest_of(u)),v)*.
% 299.85/300.42  222726[0:Res:356.1,222432.0] ||  -> subclass(intersection(u,complement(complement(v))),w) member(not_subclass_element(intersection(u,complement(complement(v))),w),v)*.
% 299.85/300.42  222762[0:Res:29726.0,222432.0] ||  -> subclass(complement(complement(complement(complement(u)))),v) member(not_subclass_element(complement(complement(complement(complement(u)))),v),u)*.
% 299.85/300.42  222764[5:Res:5404.2,222432.0] || well_ordering(u,universal_class) -> equal(complement(complement(v)),identity_relation) member(least(u,complement(complement(v))),v)*.
% 299.85/300.42  222766[3:Res:28041.2,222432.0] inductive(complement(complement(u))) || well_ordering(v,universal_class) -> member(least(v,complement(complement(u))),u)*.
% 299.85/300.42  224271[5:Rew:119684.0,224115.1] || equal(complement(u),identity_relation) -> equal(symmetric_difference(universal_class,intersection(u,inverse(u))),symmetric_difference(u,inverse(u)))**.
% 299.85/300.42  224821[0:Res:608.1,7571.2] || member(power_class(u),cantor(v))* member(u,universal_class) subclass(universal_class,complement(domain_of(v))) -> .
% 299.85/300.42  224831[5:Res:220369.1,7571.2] || member(power_class(u),inverse(identity_relation))* member(u,universal_class) subclass(universal_class,complement(symmetrization_of(identity_relation))) -> .
% 299.85/300.42  224843[5:Rew:118447.0,224813.2] || member(power_class(u),complement(v))* member(u,universal_class) subclass(universal_class,union(v,identity_relation)) -> .
% 299.85/300.42  224852[0:MRR:224815.0,57.1] || member(u,universal_class) subclass(universal_class,complement(union(v,w)))* -> member(power_class(u),complement(v))*.
% 299.85/300.42  224853[0:MRR:224814.0,57.1] || member(u,universal_class) subclass(universal_class,complement(union(v,w)))* -> member(power_class(u),complement(w))*.
% 299.85/300.42  224878[7:SpL:189445.0,149331.0] || subclass(universal_class,intersection(complement(u),singleton(identity_relation))) member(omega,union(u,complement(singleton(identity_relation))))* -> .
% 299.85/300.42  224879[5:SpL:124149.0,149331.0] || subclass(universal_class,intersection(complement(u),symmetrization_of(identity_relation))) member(omega,union(u,complement(inverse(identity_relation))))* -> .
% 299.85/300.42  224901[7:SpL:189445.0,149331.0] || subclass(universal_class,intersection(singleton(identity_relation),complement(u))) member(omega,union(complement(singleton(identity_relation)),u))* -> .
% 299.85/300.42  224902[5:SpL:124149.0,149331.0] || subclass(universal_class,intersection(symmetrization_of(identity_relation),complement(u))) member(omega,union(complement(inverse(identity_relation)),u))* -> .
% 299.85/300.42  224946[5:Rew:119684.0,224880.1] || equal(identity_relation,u) subclass(universal_class,symmetric_difference(universal_class,v)) member(omega,union(v,u))* -> .
% 299.85/300.42  225437[5:Res:223085.1,8157.0] || equal(complement(complement(symmetric_difference(complement(u),complement(v)))),universal_class)** -> member(power_class(identity_relation),union(u,v)).
% 299.85/300.42  225441[5:Res:223085.1,9.0] || equal(complement(complement(unordered_pair(u,v))),universal_class)** -> equal(power_class(identity_relation),v) equal(power_class(identity_relation),u).
% 299.85/300.42  225447[5:Res:223085.1,776.0] || equal(complement(complement(cantor(u))),universal_class)** subclass(domain_of(u),v)* -> member(power_class(identity_relation),v)*.
% 299.85/300.42  225665[0:Res:608.1,7606.2] || member(sum_class(u),cantor(v))* member(u,universal_class) subclass(universal_class,complement(domain_of(v))) -> .
% 299.85/300.42  225675[5:Res:220369.1,7606.2] || member(sum_class(u),inverse(identity_relation))* member(u,universal_class) subclass(universal_class,complement(symmetrization_of(identity_relation))) -> .
% 299.85/300.42  225687[5:Rew:118447.0,225657.2] || member(sum_class(u),complement(v))* member(u,universal_class) subclass(universal_class,union(v,identity_relation)) -> .
% 299.85/300.42  225696[0:MRR:225659.0,55.1] || member(u,universal_class) subclass(universal_class,complement(union(v,w)))* -> member(sum_class(u),complement(v))*.
% 299.85/300.42  225697[0:MRR:225658.0,55.1] || member(u,universal_class) subclass(universal_class,complement(union(v,w)))* -> member(sum_class(u),complement(w))*.
% 299.85/300.42  225933[5:MRR:225907.2,204344.1] || member(apply(choice,regular(symmetric_difference(universal_class,u))),complement(u))* -> equal(regular(symmetric_difference(universal_class,u)),identity_relation).
% 299.85/300.42  225934[9:MRR:225903.2,201884.0] ||  -> subclass(singleton(apply(choice,regular(complement(inverse(identity_relation))))),symmetrization_of(identity_relation))* equal(regular(complement(inverse(identity_relation))),identity_relation).
% 299.85/300.42  225935[7:MRR:225901.2,201892.0] ||  -> subclass(singleton(apply(choice,regular(complement(singleton(identity_relation))))),singleton(identity_relation))* equal(regular(complement(singleton(identity_relation))),identity_relation).
% 299.85/300.42  226148[5:SpL:939.0,203648.0] || equal(complement(symmetric_difference(cross_product(u,v),w)),identity_relation) -> member(identity_relation,complement(restrict(w,u,v)))*.
% 299.85/300.42  226149[5:SpL:938.0,203648.0] || equal(complement(symmetric_difference(u,cross_product(v,w))),identity_relation) -> member(identity_relation,complement(restrict(u,v,w)))*.
% 299.85/300.42  227122[5:Rew:39.0,227057.1,22667.0,227057.0] || member(not_subclass_element(complement(inverse(u)),v),intersection(inverse(u),universal_class))* -> subclass(complement(inverse(u)),v).
% 299.85/300.42  227123[5:Rew:54.0,227055.1,22654.0,227055.0] || member(not_subclass_element(complement(sum_class(u)),v),intersection(sum_class(u),universal_class))* -> subclass(complement(sum_class(u)),v).
% 299.85/300.42  227563[5:Rew:124149.0,227457.1] || member(regular(intersection(symmetrization_of(identity_relation),u)),complement(inverse(identity_relation)))* -> equal(intersection(symmetrization_of(identity_relation),u),identity_relation).
% 299.85/300.42  228263[5:Rew:124149.0,227886.1] || member(regular(intersection(u,symmetrization_of(identity_relation))),complement(inverse(identity_relation)))* -> equal(intersection(u,symmetrization_of(identity_relation)),identity_relation).
% 299.85/300.42  229735[5:SpR:145868.1,5585.1] || subclass(u,v) -> equal(symmetric_difference(v,u),identity_relation) member(regular(symmetric_difference(v,u)),complement(u))*.
% 299.85/300.42  229742[5:SpR:22595.0,5585.1] ||  -> equal(symmetric_difference(range_of(u),universal_class),identity_relation) member(regular(symmetric_difference(range_of(u),universal_class)),complement(cantor(inverse(u))))*.
% 299.85/300.42  229800[5:Res:5585.1,3924.0] || subclass(complement(intersection(u,v)),w)* well_ordering(universal_class,w) -> equal(symmetric_difference(u,v),identity_relation).
% 299.85/300.42  230127[5:MRR:230090.2,204344.1] || member(not_subclass_element(regular(symmetric_difference(universal_class,u)),v),complement(u))* -> subclass(regular(symmetric_difference(universal_class,u)),v).
% 299.85/300.42  230128[9:MRR:230086.2,201884.0] ||  -> subclass(singleton(not_subclass_element(regular(complement(inverse(identity_relation))),u)),symmetrization_of(identity_relation))* subclass(regular(complement(inverse(identity_relation))),u).
% 299.85/300.42  230132[5:MRR:230082.0,29531.1] ||  -> member(not_subclass_element(regular(complement(u)),v),u)* subclass(regular(complement(u)),v) equal(complement(u),identity_relation).
% 299.85/300.42  230314[0:Res:608.1,8431.1] || member(not_subclass_element(u,v),cantor(w))* subclass(u,complement(domain_of(w))) -> subclass(u,v).
% 299.85/300.42  230324[5:Res:220369.1,8431.1] || member(not_subclass_element(u,v),inverse(identity_relation))* subclass(u,complement(symmetrization_of(identity_relation))) -> subclass(u,v).
% 299.85/300.42  230342[5:Rew:118447.0,230306.1] || member(not_subclass_element(u,v),complement(w))* subclass(u,union(w,identity_relation)) -> subclass(u,v).
% 299.85/300.42  230356[0:MRR:230308.0,29531.1] || subclass(u,complement(union(v,w)))* -> member(not_subclass_element(u,x),complement(v))* subclass(u,x).
% 299.85/300.42  230357[0:MRR:230307.0,29531.1] || subclass(u,complement(union(v,w)))* -> member(not_subclass_element(u,x),complement(w))* subclass(u,x).
% 299.85/300.42  230379[7:SpR:189471.0,230113.0] ||  -> subclass(regular(image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation))))* equal(image(element_relation,singleton(identity_relation)),identity_relation).
% 299.85/300.42  230381[5:SpR:122494.0,230113.0] ||  -> subclass(regular(image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation))))* equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation).
% 299.85/300.42  230544[0:Rew:8211.1,230543.1] || member(u,v) member(u,w) -> subclass(intersection(x,singleton(u)),intersection(w,v))*.
% 299.85/300.42  230680[0:Rew:8305.1,230679.1] || member(u,v) member(u,w) -> subclass(intersection(singleton(u),x),intersection(w,v))*.
% 299.85/300.42  231370[5:SpL:122708.0,231288.0] || equal(image(element_relation,union(symmetric_difference(universal_class,u),v)),power_class(intersection(union(u,identity_relation),complement(v))))** -> .
% 299.85/300.42  231372[5:SpL:122711.0,231288.0] || equal(image(element_relation,union(u,symmetric_difference(universal_class,v))),power_class(intersection(complement(u),union(v,identity_relation))))** -> .
% 299.85/300.42  232811[7:Rew:189471.0,232780.1] || subclass(image(element_relation,singleton(identity_relation)),power_class(complement(singleton(identity_relation))))* -> subclass(universal_class,power_class(complement(singleton(identity_relation)))).
% 299.85/300.42  232812[5:Rew:122494.0,232782.1] || subclass(image(element_relation,symmetrization_of(identity_relation)),power_class(complement(inverse(identity_relation))))* -> subclass(universal_class,power_class(complement(inverse(identity_relation)))).
% 299.85/300.42  233146[5:SpL:2089.1,233078.0] || equal(complement(regular(singleton(not_subclass_element(cross_product(u,v),w)))),identity_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  233667[15:Rew:233634.0,193875.1] || equal(sum_class(range_of(u)),sum_class(range_of(identity_relation))) member(ordered_pair(u,universal_class),cross_product(universal_class,universal_class))* -> .
% 299.85/300.42  233671[15:Rew:233634.0,225513.1] || subclass(omega,successor_relation) -> equal(integer_of(ordered_pair(u,universal_class)),identity_relation)** equal(successor(u),sum_class(range_of(identity_relation))).
% 299.85/300.42  233672[15:Rew:233634.0,225342.1] || subclass(omega,rest_relation) -> equal(integer_of(ordered_pair(u,universal_class)),identity_relation)** equal(rest_of(u),sum_class(range_of(identity_relation))).
% 299.85/300.42  233718[15:Rew:233711.0,191832.1] || asymmetric(u,identity_relation) -> equal(range__dfg(intersection(u,inverse(u)),universal_class,identity_relation),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.85/300.42  233935[0:Res:3780.1,28903.1] || equal(complement(complement(u)),universal_class) member(u,universal_class) -> member(singleton(singleton(singleton(u))),element_relation)*.
% 299.85/300.42  234208[17:Rew:189445.0,234152.1] || member(u,universal_class) subclass(domain_relation,singleton(identity_relation)) -> subclass(singleton(ordered_pair(u,identity_relation)),singleton(identity_relation))*.
% 299.85/300.42  234209[17:Rew:124149.0,234154.1] || member(u,universal_class) subclass(domain_relation,symmetrization_of(identity_relation)) -> subclass(singleton(ordered_pair(u,identity_relation)),symmetrization_of(identity_relation))*.
% 299.85/300.42  234211[17:Rew:22481.0,234173.1] || member(u,universal_class) subclass(domain_relation,power_class(identity_relation)) -> subclass(singleton(ordered_pair(u,identity_relation)),power_class(identity_relation))*.
% 299.85/300.42  234212[17:Rew:6805.0,234174.1] || member(u,universal_class) subclass(domain_relation,power_class(universal_class)) -> subclass(singleton(ordered_pair(u,identity_relation)),power_class(universal_class))*.
% 299.85/300.42  234226[17:MRR:234225.0,5265.0] || equal(compose(u,v),identity_relation)** member(v,universal_class) subclass(domain_relation,complement(compose_class(u)))* -> .
% 299.85/300.42  234418[17:Rew:234407.1,234417.2] || member(ordered_pair(u,singleton(singleton(identity_relation))),composition_function)* -> equal(range_of(v),identity_relation)** equal(inverse(v),universal_class).
% 299.85/300.42  234420[15:Rew:234407.1,234419.2] || member(u,universal_class)* member(ordered_pair(v,singleton(singleton(identity_relation))),composition_function)* -> equal(range_of(u),universal_class).
% 299.85/300.42  234464[5:SpL:233433.0,37.0] || member(ordered_pair(singleton(singleton(identity_relation)),u),flip(v))* -> member(ordered_pair(ordered_pair(universal_class,identity_relation),u),v).
% 299.85/300.42  234465[5:SpL:233433.0,34.0] || member(ordered_pair(singleton(singleton(identity_relation)),u),rotate(v))* -> member(ordered_pair(ordered_pair(universal_class,u),identity_relation),v).
% 299.85/300.42  234859[5:SpR:40.0,26595.1] || member(u,universal_class) -> member(u,range_of(v)) equal(apply(inverse(v),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234895[5:Res:26595.1,40700.0] || member(u,universal_class) subclass(universal_class,complement(element_relation))* -> equal(apply(u,u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234908[5:Res:26595.1,204710.1] || member(u,universal_class) subclass(domain_of(v),identity_relation)* -> equal(apply(v,u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234909[5:Res:26595.1,203257.1] || member(u,universal_class) equal(domain_of(v),identity_relation) -> equal(apply(v,u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234935[5:MRR:234846.2,5188.0] || equal(rest_of(u),identity_relation) member(v,universal_class) -> equal(apply(u,v),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234936[5:MRR:234847.2,5188.0] || equal(cantor(u),identity_relation) member(v,universal_class) -> equal(apply(u,v),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234937[17:MRR:234858.2,5188.0] || member(u,universal_class) member(v,universal_class) -> equal(apply(sum_class(u),v),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234938[17:MRR:234869.2,5188.0] || equal(identity_relation,u) member(v,universal_class) -> equal(apply(power_class(u),v),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234939[17:MRR:234870.2,5188.0] || member(u,universal_class) member(v,universal_class) -> equal(apply(power_class(u),v),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234940[17:MRR:234872.2,5188.0] function(u) || member(v,universal_class) -> equal(apply(apply(u,w),v),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234941[17:MRR:234873.2,5188.0] || member(u,universal_class) -> subclass(v,w) equal(apply(not_subclass_element(v,w),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234942[17:MRR:234878.2,5188.0] || member(u,universal_class) member(v,universal_class) -> equal(apply(rest_of(u),v),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  234956[5:MRR:234880.0,29531.1] ||  -> equal(apply(u,not_subclass_element(complement(domain_of(u)),v)),sum_class(range_of(identity_relation)))** subclass(complement(domain_of(u)),v).
% 299.85/300.42  235221[5:Rew:6805.0,235208.2,6805.0,235208.1] || well_ordering(u,universal_class) -> subclass(singleton(least(u,power_class(universal_class))),power_class(universal_class))* equal(power_class(universal_class),identity_relation).
% 299.85/300.42  235222[5:Rew:22481.0,235207.2,22481.0,235207.1] || well_ordering(u,universal_class) -> subclass(singleton(least(u,power_class(identity_relation))),power_class(identity_relation))* equal(power_class(identity_relation),identity_relation).
% 299.85/300.42  235284[15:SpR:233634.0,17.2] || member(range_of(identity_relation),u) member(v,w) -> member(ordered_pair(v,universal_class),cross_product(w,u))*.
% 299.85/300.42  235388[15:Rew:235280.2,233673.2] || subclass(omega,domain_relation) -> equal(integer_of(ordered_pair(u,universal_class)),identity_relation)** equal(sum_class(range_of(identity_relation)),range_of(identity_relation)).
% 299.85/300.42  235625[15:SpR:233634.0,20387.1] || subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(range_of(identity_relation),rest_of(ordered_pair(v,universal_class))),v),u)*.
% 299.85/300.42  235632[17:SpR:213291.1,20387.1] || subclass(domain_relation,rest_relation) subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(v,identity_relation),w),u)*.
% 299.85/300.42  235633[17:SpR:213115.1,20387.1] || subclass(rest_relation,domain_relation) subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(v,identity_relation),w),u)*.
% 299.85/300.42  235635[15:SpR:233634.0,20387.1] || subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(range_of(identity_relation),v))),universal_class),u)*.
% 299.85/300.42  235645[0:Res:20387.1,1054.0] || subclass(rest_relation,rotate(singleton(u)))* -> equal(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),u)*.
% 299.85/300.42  235691[0:Res:20387.1,94.0] || subclass(rest_relation,rotate(compose_class(u))) -> equal(compose(u,ordered_pair(v,rest_of(ordered_pair(w,v)))),w)**.
% 299.85/300.42  235707[0:Res:20387.1,37.0] || subclass(rest_relation,rotate(flip(u))) -> member(ordered_pair(ordered_pair(rest_of(ordered_pair(v,w)),w),v),u)*.
% 299.85/300.42  235708[0:Res:20387.1,34.0] || subclass(rest_relation,rotate(rotate(u))) -> member(ordered_pair(ordered_pair(rest_of(ordered_pair(v,w)),v),w),u)*.
% 299.85/300.42  235736[15:SpR:233634.0,20388.1] || subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(range_of(identity_relation),v),rest_of(ordered_pair(v,universal_class))),u)*.
% 299.85/300.42  235743[17:SpR:213291.1,20388.1] || subclass(domain_relation,rest_relation) subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(v,w),identity_relation),u)*.
% 299.85/300.42  235744[17:SpR:213115.1,20388.1] || subclass(rest_relation,domain_relation) subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(v,w),identity_relation),u)*.
% 299.85/300.42  235745[15:SpR:233634.0,20388.1] || subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(v,universal_class),rest_of(ordered_pair(range_of(identity_relation),v))),u)*.
% 299.85/300.42  235761[0:Res:20388.1,1054.0] || subclass(rest_relation,flip(singleton(u)))* -> equal(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),u)*.
% 299.85/300.42  235807[0:Res:20388.1,94.0] || subclass(rest_relation,flip(compose_class(u))) -> equal(compose(u,ordered_pair(v,w)),rest_of(ordered_pair(w,v)))**.
% 299.85/300.42  235822[0:Res:20388.1,37.0] || subclass(rest_relation,flip(flip(u))) -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(v,w))),u)*.
% 299.85/300.42  235823[0:Res:20388.1,34.0] || subclass(rest_relation,flip(rotate(u))) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(v,w))),w),u)*.
% 299.85/300.42  235855[5:Res:202851.1,7574.1] || equal(complement(restrict(u,v,w)),identity_relation)** member(x,universal_class) -> member(power_class(x),u)*.
% 299.85/300.42  236063[5:Res:202851.1,7609.1] || equal(complement(restrict(u,v,w)),identity_relation)** member(x,universal_class) -> member(sum_class(x),u)*.
% 299.85/300.42  236140[5:Obv:236127.2] || subclass(u,omega) subclass(omega,v) -> equal(not_subclass_element(u,v),identity_relation)** subclass(u,v).
% 299.85/300.42  236328[5:Res:780.2,233419.0] || member(u,universal_class) subclass(rest_relation,singleton(omega)) -> equal(integer_of(ordered_pair(u,rest_of(u))),identity_relation)**.
% 299.85/300.42  236512[5:Rew:6805.0,236469.1,6805.0,236469.0] ||  -> subclass(singleton(not_subclass_element(intersection(u,power_class(universal_class)),v)),power_class(universal_class))* subclass(intersection(u,power_class(universal_class)),v).
% 299.85/300.42  236513[5:Rew:22481.0,236468.1,22481.0,236468.0] ||  -> subclass(singleton(not_subclass_element(intersection(u,power_class(identity_relation)),v)),power_class(identity_relation))* subclass(intersection(u,power_class(identity_relation)),v).
% 299.85/300.42  236515[5:Rew:124149.0,236452.1,124149.0,236452.0] ||  -> subclass(singleton(not_subclass_element(intersection(u,symmetrization_of(identity_relation)),v)),symmetrization_of(identity_relation))* subclass(intersection(u,symmetrization_of(identity_relation)),v).
% 299.85/300.42  236588[5:Rew:233485.0,236560.0] ||  -> equal(segment(universal_class,u,universal_class),identity_relation) member(regular(segment(universal_class,u,universal_class)),cantor(cross_product(u,identity_relation)))*.
% 299.85/300.42  236561[5:SpR:233485.0,5588.1] ||  -> equal(cantor(cross_product(u,identity_relation)),identity_relation) member(regular(cantor(cross_product(u,identity_relation))),segment(universal_class,u,universal_class))*.
% 299.85/300.42  236904[5:Rew:6805.0,236854.1,6805.0,236854.0] ||  -> subclass(singleton(not_subclass_element(intersection(power_class(universal_class),u),v)),power_class(universal_class))* subclass(intersection(power_class(universal_class),u),v).
% 299.85/300.42  236905[5:Rew:22481.0,236853.1,22481.0,236853.0] ||  -> subclass(singleton(not_subclass_element(intersection(power_class(identity_relation),u),v)),power_class(identity_relation))* subclass(intersection(power_class(identity_relation),u),v).
% 299.85/300.42  236907[5:Rew:124149.0,236837.1,124149.0,236837.0] ||  -> subclass(singleton(not_subclass_element(intersection(symmetrization_of(identity_relation),u),v)),symmetrization_of(identity_relation))* subclass(intersection(symmetrization_of(identity_relation),u),v).
% 299.85/300.42  237000[5:SpL:2089.1,235499.0] || subclass(universal_class,complement(complement(singleton(not_subclass_element(cross_product(u,v),w)))))* -> subclass(cross_product(u,v),w).
% 299.85/300.42  237176[5:Obv:237122.1] || equal(u,v) -> equal(unordered_pair(v,u),identity_relation) equal(intersection(unordered_pair(v,u),v),identity_relation)**.
% 299.85/300.42  237199[5:SpL:2089.1,232830.0] || subclass(universal_class,regular(unordered_pair(u,not_subclass_element(cross_product(v,w),x))))* -> subclass(cross_product(v,w),x).
% 299.85/300.42  237226[5:SpL:2089.1,233155.0] || subclass(universal_class,regular(unordered_pair(not_subclass_element(cross_product(u,v),w),x)))* -> subclass(cross_product(u,v),w).
% 299.85/300.42  237439[5:Obv:237365.1] || subclass(intersection(u,intersection(v,w)),complement(w))* -> equal(intersection(u,intersection(v,w)),identity_relation).
% 299.85/300.42  237642[5:SpR:122708.0,237395.0] ||  -> equal(intersection(union(symmetric_difference(universal_class,u),v),intersection(w,intersection(union(u,identity_relation),complement(v)))),identity_relation)**.
% 299.85/300.42  237644[5:SpR:122711.0,237395.0] ||  -> equal(intersection(union(u,symmetric_difference(universal_class,v)),intersection(w,intersection(complement(u),union(v,identity_relation)))),identity_relation)**.
% 299.85/300.42  237655[5:SpR:579.0,237395.0] ||  -> equal(intersection(power_class(intersection(complement(u),complement(v))),intersection(w,image(element_relation,union(u,v)))),identity_relation)**.
% 299.85/300.42  238032[5:Obv:237958.1] || subclass(intersection(u,intersection(v,w)),complement(v))* -> equal(intersection(u,intersection(v,w)),identity_relation).
% 299.85/300.42  238312[5:SpR:930.0,237985.0] ||  -> equal(intersection(complement(complement(symmetric_difference(u,v))),symmetric_difference(complement(intersection(u,v)),union(u,v))),identity_relation)**.
% 299.85/300.42  238351[5:SpR:122708.0,237985.0] ||  -> equal(intersection(union(symmetric_difference(universal_class,u),v),intersection(intersection(union(u,identity_relation),complement(v)),w)),identity_relation)**.
% 299.85/300.42  238353[5:SpR:122711.0,237985.0] ||  -> equal(intersection(union(u,symmetric_difference(universal_class,v)),intersection(intersection(complement(u),union(v,identity_relation)),w)),identity_relation)**.
% 299.85/300.42  238364[5:SpR:579.0,237985.0] ||  -> equal(intersection(power_class(intersection(complement(u),complement(v))),intersection(image(element_relation,union(u,v)),w)),identity_relation)**.
% 299.85/300.42  238836[5:Obv:238754.1] || subclass(intersection(intersection(u,v),w),complement(v))* -> equal(intersection(intersection(u,v),w),identity_relation).
% 299.85/300.42  238991[5:SpR:122708.0,238781.0] ||  -> equal(intersection(intersection(u,intersection(union(v,identity_relation),complement(w))),union(symmetric_difference(universal_class,v),w)),identity_relation)**.
% 299.85/300.42  238993[5:SpR:122711.0,238781.0] ||  -> equal(intersection(intersection(u,intersection(complement(v),union(w,identity_relation))),union(v,symmetric_difference(universal_class,w))),identity_relation)**.
% 299.85/300.42  239004[5:SpR:579.0,238781.0] ||  -> equal(intersection(intersection(u,image(element_relation,union(v,w))),power_class(intersection(complement(v),complement(w)))),identity_relation)**.
% 299.85/300.42  239631[5:Obv:239548.1] || subclass(intersection(intersection(u,v),w),complement(u))* -> equal(intersection(intersection(u,v),w),identity_relation).
% 299.85/300.42  239903[5:SpR:122708.0,239572.0] ||  -> equal(intersection(intersection(intersection(union(u,identity_relation),complement(v)),w),union(symmetric_difference(universal_class,u),v)),identity_relation)**.
% 299.85/300.42  239905[5:SpR:122711.0,239572.0] ||  -> equal(intersection(intersection(intersection(complement(u),union(v,identity_relation)),w),union(u,symmetric_difference(universal_class,v))),identity_relation)**.
% 299.85/300.42  239916[5:SpR:579.0,239572.0] ||  -> equal(intersection(intersection(image(element_relation,union(u,v)),w),power_class(intersection(complement(u),complement(v)))),identity_relation)**.
% 299.85/300.42  239946[5:SpR:930.0,239572.0] ||  -> equal(intersection(symmetric_difference(complement(intersection(u,v)),union(u,v)),complement(complement(symmetric_difference(u,v)))),identity_relation)**.
% 299.85/300.42  240332[5:Res:5604.2,1054.0] || subclass(u,singleton(v))* -> equal(intersection(u,w),identity_relation) equal(regular(intersection(u,w)),v)*.
% 299.85/300.42  240395[5:Rew:22595.0,240273.1] || subclass(range_of(u),v) -> equal(cantor(inverse(u)),identity_relation) member(regular(cantor(inverse(u))),v)*.
% 299.85/300.42  240396[5:Rew:119684.0,240282.1] || subclass(complement(u),v) -> equal(symmetric_difference(universal_class,u),identity_relation) member(regular(symmetric_difference(universal_class,u)),v)*.
% 299.85/300.42  240417[5:Obv:240378.2] || subclass(u,v) subclass(intersection(u,w),complement(v))* -> equal(intersection(u,w),identity_relation).
% 299.85/300.42  240620[5:Rew:239324.0,240590.1] || member(not_subclass_element(symmetric_difference(universal_class,inverse(identity_relation)),identity_relation),symmetrization_of(identity_relation))* -> subclass(symmetric_difference(universal_class,inverse(identity_relation)),identity_relation).
% 299.85/300.42  240925[5:Res:5579.2,1054.0] || subclass(u,singleton(v))* -> equal(intersection(w,u),identity_relation) equal(regular(intersection(w,u)),v)*.
% 299.85/300.42  241011[5:Obv:240971.2] || subclass(u,v) subclass(intersection(w,u),complement(v))* -> equal(intersection(w,u),identity_relation).
% 299.85/300.42  241377[5:Obv:241356.2] || subclass(u,symmetric_difference(v,w)) subclass(u,complement(union(v,w)))* -> equal(u,identity_relation).
% 299.85/300.42  241378[5:Obv:241343.1] || subclass(singleton(u),symmetric_difference(v,w))* -> equal(singleton(u),identity_relation) member(u,union(v,w)).
% 299.85/300.42  241434[5:Res:63.1,5316.0] function(u) || subclass(cross_product(universal_class,universal_class),v)* -> equal(u,identity_relation) member(regular(u),v)*.
% 299.85/300.42  241961[5:SpL:2089.1,237209.0] || equal(regular(unordered_pair(u,not_subclass_element(cross_product(v,w),x))),universal_class)** -> subclass(cross_product(v,w),x).
% 299.85/300.42  241975[5:SpL:2089.1,237236.0] || equal(regular(unordered_pair(not_subclass_element(cross_product(u,v),w),x)),universal_class)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  241997[5:Res:203247.1,8150.0] || equal(complement(symmetric_difference(cross_product(u,v),w)),identity_relation) -> member(omega,complement(restrict(w,u,v)))*.
% 299.85/300.42  242009[5:Res:205150.1,8150.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(power_class(identity_relation),complement(restrict(w,u,v)))*.
% 299.85/300.42  242224[5:Res:780.2,242117.0] || member(u,universal_class) subclass(rest_relation,domain_of(complement(cross_product(singleton(ordered_pair(u,rest_of(u))),universal_class))))* -> .
% 299.85/300.42  242268[5:Res:203247.1,8147.0] || equal(complement(symmetric_difference(u,cross_product(v,w))),identity_relation) -> member(omega,complement(restrict(u,v,w)))*.
% 299.85/300.42  242280[5:Res:205150.1,8147.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(power_class(identity_relation),complement(restrict(u,v,w)))*.
% 299.85/300.42  242394[5:Res:203247.1,756.0] || equal(complement(cantor(restrict(u,v,singleton(w)))),identity_relation)** -> member(omega,segment(u,v,w)).
% 299.85/300.42  242406[5:Res:205150.1,756.0] || subclass(universal_class,cantor(restrict(u,v,singleton(w))))* -> member(power_class(identity_relation),segment(u,v,w)).
% 299.85/300.42  242445[5:Res:203246.1,756.0] || equal(complement(cantor(restrict(u,v,singleton(w)))),identity_relation)** -> member(identity_relation,segment(u,v,w)).
% 299.85/300.42  242539[0:SpR:9097.0,133.1] || section(cross_product(u,singleton(v)),w,x) -> subclass(segment(cross_product(x,w),u,v),w)*.
% 299.85/300.42  242638[5:Res:5341.1,3924.0] || subclass(cross_product(u,v),w)* well_ordering(universal_class,w) -> equal(restrict(x,u,v),identity_relation)**.
% 299.85/300.42  242651[5:Obv:242645.1] || subclass(restrict(u,v,w),complement(cross_product(v,w)))* -> equal(restrict(u,v,w),identity_relation).
% 299.85/300.42  242740[5:Res:123649.1,27148.0] ||  -> equal(integer_of(cross_product(universal_class,cross_product(universal_class,universal_class))),identity_relation) equal(segment(element_relation,composition_function,least(element_relation,composition_function)),identity_relation)**.
% 299.85/300.42  242741[5:Res:16080.1,27148.0] ||  -> equal(singleton(cross_product(universal_class,cross_product(universal_class,universal_class))),identity_relation) equal(segment(element_relation,composition_function,least(element_relation,composition_function)),identity_relation)**.
% 299.85/300.42  244098[5:Res:780.2,242218.0] || member(u,universal_class) subclass(rest_relation,cantor(complement(cross_product(singleton(ordered_pair(u,rest_of(u))),universal_class))))* -> .
% 299.85/300.42  244261[5:Rew:237599.0,244224.1] || member(not_subclass_element(restrict(u,v,w),identity_relation),complement(u))* -> subclass(restrict(u,v,w),identity_relation).
% 299.85/300.42  244622[21:Res:119650.1,243787.1] || equal(complement(compose(complement(element_relation),inverse(element_relation))),universal_class)** member(singleton(u),cross_product(universal_class,universal_class))* -> .
% 299.85/300.42  244623[21:Res:763.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(singleton(u),cross_product(universal_class,universal_class))* -> .
% 299.85/300.42  244625[21:Res:203247.1,243787.1] || equal(complement(complement(compose(complement(element_relation),inverse(element_relation)))),identity_relation)** member(omega,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244637[21:Res:205150.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(power_class(identity_relation),cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244663[21:Res:203762.1,243787.1] || equal(union(compose(complement(element_relation),inverse(element_relation)),identity_relation),identity_relation)** member(omega,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244664[21:Res:144786.1,243787.1] || equal(symmetric_difference(universal_class,compose(complement(element_relation),inverse(element_relation))),universal_class)** member(omega,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244679[21:Res:203246.1,243787.1] || equal(complement(complement(compose(complement(element_relation),inverse(element_relation)))),identity_relation)** member(identity_relation,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244682[21:Res:125624.1,243787.1] || equal(complement(compose(complement(element_relation),inverse(element_relation))),singleton(identity_relation))** member(identity_relation,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244686[21:Res:178692.1,243787.1] || equal(symmetric_difference(universal_class,compose(complement(element_relation),inverse(element_relation))),omega)** member(identity_relation,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244687[21:Res:124837.1,243787.1] || equal(symmetric_difference(universal_class,compose(complement(element_relation),inverse(element_relation))),universal_class)** member(identity_relation,cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244697[21:Res:223093.1,243787.1] || equal(complement(compose(complement(element_relation),inverse(element_relation))),universal_class)** member(power_class(identity_relation),cross_product(universal_class,universal_class)) -> .
% 299.85/300.42  244844[5:Res:7.1,183413.0] || equal(u,universal_class) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(omega,least(omega,universal_class))),identity_relation)**.
% 299.85/300.42  245810[17:MRR:245803.3,47782.0] || member(u,universal_class)* subclass(domain_relation,omega) subclass(omega,rest_relation) -> equal(rest_of(u),identity_relation).
% 299.85/300.42  245811[17:MRR:245802.3,47782.0] || member(u,universal_class)* subclass(domain_relation,omega) subclass(omega,successor_relation) -> equal(successor(u),identity_relation).
% 299.85/300.42  246954[5:SpR:237639.0,145868.1] || subclass(intersection(u,complement(inverse(identity_relation))),symmetrization_of(identity_relation))* -> equal(intersection(u,complement(inverse(identity_relation))),identity_relation).
% 299.85/300.42  247181[0:SpR:21037.0,146022.0] ||  -> equal(intersection(successor(u),symmetric_difference(complement(u),complement(singleton(u)))),symmetric_difference(complement(u),complement(singleton(u))))**.
% 299.85/300.42  247617[5:SpR:238348.0,145868.1] || subclass(intersection(complement(inverse(identity_relation)),u),symmetrization_of(identity_relation))* -> equal(intersection(complement(inverse(identity_relation)),u),identity_relation).
% 299.85/300.42  247880[5:Res:5213.0,20349.2] || member(u,universal_class) subclass(rest_relation,complement(omega)) -> equal(integer_of(ordered_pair(u,rest_of(u))),identity_relation)**.
% 299.85/300.42  247927[0:MRR:247903.2,29469.1] || member(rest_of(u),v)* member(u,w)* subclass(rest_relation,complement(cross_product(w,v)))* -> .
% 299.85/300.42  247930[17:MRR:247862.1,205135.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,complement(u)) member(ordered_pair(power_class(identity_relation),identity_relation),u)* -> .
% 299.85/300.42  247931[17:MRR:247861.1,205135.0] || subclass(domain_relation,rest_relation) subclass(rest_relation,complement(u)) member(ordered_pair(power_class(identity_relation),identity_relation),u)* -> .
% 299.85/300.42  247932[17:MRR:247852.1,176.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,complement(u)) member(ordered_pair(singleton(v),identity_relation),u)* -> .
% 299.85/300.42  247933[17:MRR:247851.1,176.0] || subclass(domain_relation,rest_relation) subclass(rest_relation,complement(u)) member(ordered_pair(singleton(v),identity_relation),u)* -> .
% 299.85/300.42  248248[0:SoR:21261.0,72.1] one_to_one(complement(u)) || member(v,universal_class) -> member(v,u)* member(v,cross_product(universal_class,universal_class))*.
% 299.85/300.42  248306[5:SpR:20365.2,227625.0] || member(u,universal_class) subclass(rest_relation,rest_of(complement(cross_product(u,universal_class))))* -> equal(rest_of(u),identity_relation).
% 299.85/300.42  248317[5:SpR:20365.2,237599.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> equal(intersection(complement(v),rest_of(u)),identity_relation)**.
% 299.85/300.42  248318[5:SpR:20365.2,239026.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> equal(intersection(rest_of(u),complement(v)),identity_relation)**.
% 299.85/300.42  248323[0:SpR:20365.2,46090.0] || member(u,universal_class) subclass(rest_relation,rest_of(cantor(inverse(v))))* -> subclass(rest_of(u),range_of(v))*.
% 299.85/300.42  248340[0:SpR:20365.2,43.0] || member(u,universal_class) subclass(rest_relation,rest_of(v))* -> equal(range_of(rest_of(u)),image(v,u))*.
% 299.85/300.42  248369[5:MRR:248367.0,176.0] || subclass(rest_relation,rest_of(u)) member(v,domain_of(u))* equal(rest_of(singleton(v)),identity_relation) -> .
% 299.85/300.42  248370[5:MRR:248339.0,176.0] || subclass(rest_relation,rest_of(u)) -> equal(second(not_subclass_element(rest_of(singleton(v)),identity_relation)),range__dfg(u,v,universal_class))*.
% 299.85/300.42  248483[0:SpR:21036.0,146022.0] ||  -> equal(intersection(symmetrization_of(u),symmetric_difference(complement(u),complement(inverse(u)))),symmetric_difference(complement(u),complement(inverse(u))))**.
% 299.85/300.42  248825[7:SpL:20365.2,248228.0] || member(u,universal_class) subclass(rest_relation,rest_of(complement(singleton(identity_relation))))* member(identity_relation,rest_of(u))* -> .
% 299.85/300.42  248847[5:Res:7.1,125910.0] || equal(regular(u),omega) member(v,u)* -> equal(integer_of(v),identity_relation) equal(u,identity_relation).
% 299.85/300.42  248858[14:SpL:20365.2,248392.0] || member(u,universal_class)* subclass(rest_relation,rest_of(complement(singleton(identity_relation))))* equal(rest_of(u),omega) -> .
% 299.85/300.42  248863[14:SpL:20365.2,248414.0] || member(u,universal_class) subclass(rest_relation,rest_of(complement(singleton(identity_relation))))* subclass(omega,rest_of(u))* -> .
% 299.85/300.42  248909[5:Res:123649.1,120713.0] ||  -> equal(integer_of(u),identity_relation) member(u,image(universal_class,singleton(u)))* asymmetric(cross_product(singleton(u),universal_class),v)*.
% 299.85/300.42  248910[5:Res:16080.1,120713.0] ||  -> equal(singleton(u),identity_relation) member(u,image(universal_class,singleton(u)))* asymmetric(cross_product(singleton(u),universal_class),v)*.
% 299.85/300.42  249294[5:Rew:249197.0,246441.0] ||  -> equal(intersection(union(u,image(element_relation,power_class(v))),intersection(complement(u),power_class(complement(power_class(v))))),identity_relation)**.
% 299.85/300.42  249295[5:Rew:249197.0,246443.0] ||  -> equal(symmetric_difference(union(u,image(element_relation,power_class(v))),intersection(complement(u),power_class(complement(power_class(v))))),universal_class)**.
% 299.85/300.42  249296[5:Rew:249197.0,246444.0] ||  -> equal(intersection(intersection(complement(u),power_class(complement(power_class(v)))),union(u,image(element_relation,power_class(v)))),identity_relation)**.
% 299.85/300.42  249297[5:Rew:249197.0,246446.0] ||  -> equal(symmetric_difference(intersection(complement(u),power_class(complement(power_class(v)))),union(u,image(element_relation,power_class(v)))),universal_class)**.
% 299.85/300.42  249484[5:Rew:249197.0,228279.0] || member(regular(intersection(u,power_class(v))),complement(power_class(v)))* -> equal(intersection(u,power_class(v)),identity_relation).
% 299.85/300.42  249609[5:Rew:249197.0,27804.0] ||  -> subclass(symmetric_difference(union(image(element_relation,power_class(u)),identity_relation),universal_class),complement(symmetric_difference(power_class(complement(power_class(u))),universal_class)))*.
% 299.85/300.42  249632[5:Rew:249197.0,234070.0] || subclass(domain_relation,power_class(complement(power_class(u)))) member(ordered_pair(identity_relation,identity_relation),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249638[4:Rew:249197.0,234111.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(least(element_relation,omega),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249639[20:Rew:249197.0,234096.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(regular(symmetrization_of(identity_relation)),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249640[0:Rew:249197.0,234061.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(unordered_pair(v,w),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249641[0:Rew:249197.0,234055.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(ordered_pair(v,w),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249657[4:Rew:249197.0,234112.0] || subclass(omega,power_class(complement(power_class(u)))) member(least(element_relation,omega),image(element_relation,power_class(u)))* -> .
% 299.85/300.42  249668[5:Rew:249197.0,246016.0] ||  -> equal(intersection(union(image(element_relation,power_class(u)),v),intersection(power_class(complement(power_class(u))),complement(v))),identity_relation)**.
% 299.85/300.42  249669[5:Rew:249197.0,246018.0] ||  -> equal(symmetric_difference(union(image(element_relation,power_class(u)),v),intersection(power_class(complement(power_class(u))),complement(v))),universal_class)**.
% 299.85/300.42  249670[5:Rew:249197.0,246019.0] ||  -> equal(intersection(intersection(power_class(complement(power_class(u))),complement(v)),union(image(element_relation,power_class(u)),v)),identity_relation)**.
% 299.85/300.42  249671[5:Rew:249197.0,246021.0] ||  -> equal(symmetric_difference(intersection(power_class(complement(power_class(u))),complement(v)),union(image(element_relation,power_class(u)),v)),universal_class)**.
% 299.85/300.42  249772[5:Rew:249197.0,125754.0] || subclass(image(element_relation,power_class(u)),power_class(complement(power_class(u))))* -> equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.42  249833[5:Rew:249197.0,230378.0] ||  -> subclass(regular(image(element_relation,power_class(u))),power_class(complement(power_class(u))))* equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.42  249875[5:Rew:249197.0,216317.0] || subclass(omega,complement(power_class(u)))* -> equal(integer_of(regular(power_class(u))),identity_relation) equal(power_class(u),identity_relation).
% 299.85/300.42  250041[5:Rew:249197.0,244963.0] ||  -> equal(symmetric_difference(intersection(power_class(u),complement(inverse(complement(power_class(u))))),complement(symmetrization_of(complement(power_class(u))))),identity_relation)**.
% 299.85/300.42  250087[17:Rew:249197.0,210968.1] function(image(element_relation,complement(u))) ||  -> equal(complement(intersection(power_class(u),universal_class)),successor(complement(power_class(u))))**.
% 299.85/300.42  250166[5:Rew:249197.0,245376.0] ||  -> equal(symmetric_difference(intersection(power_class(u),complement(singleton(complement(power_class(u))))),complement(successor(complement(power_class(u))))),identity_relation)**.
% 299.85/300.42  250226[5:Rew:249197.0,227581.0] || member(regular(intersection(power_class(u),v)),complement(power_class(u)))* -> equal(intersection(power_class(u),v),identity_relation).
% 299.85/300.42  250285[0:Rew:249200.0,224947.1] || subclass(universal_class,intersection(complement(u),power_class(v))) member(omega,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  250535[0:Rew:249208.0,224950.1] || subclass(universal_class,intersection(power_class(u),complement(v))) member(omega,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  250810[5:Rew:249197.0,249644.0] || subclass(image(element_relation,power_class(u)),power_class(complement(power_class(u))))* -> subclass(universal_class,power_class(complement(power_class(u)))).
% 299.85/300.42  250811[5:Rew:249197.0,249779.1] || subclass(power_class(complement(power_class(u))),image(element_relation,power_class(u)))* -> equal(power_class(complement(power_class(u))),identity_relation).
% 299.85/300.42  250820[7:Rew:249197.0,249985.0] ||  -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* member(identity_relation,symmetrization_of(complement(power_class(u)))).
% 299.85/300.42  250821[7:Rew:249197.0,250111.0] ||  -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* member(identity_relation,successor(complement(power_class(u)))).
% 299.85/300.42  251763[5:SpR:122708.0,249197.0] ||  -> equal(complement(power_class(intersection(union(u,identity_relation),complement(v)))),image(element_relation,union(symmetric_difference(universal_class,u),v)))**.
% 299.85/300.42  251764[5:SpR:122711.0,249197.0] ||  -> equal(complement(power_class(intersection(complement(u),union(v,identity_relation)))),image(element_relation,union(u,symmetric_difference(universal_class,v))))**.
% 299.85/300.42  251772[0:SpR:579.0,249197.0] ||  -> equal(image(element_relation,power_class(intersection(complement(u),complement(v)))),complement(power_class(image(element_relation,union(u,v)))))**.
% 299.85/300.42  252498[10:Rew:251767.0,251933.0] ||  -> subclass(singleton(apply(choice,regular(complement(power_class(universal_class))))),power_class(universal_class))* equal(regular(complement(power_class(universal_class))),identity_relation).
% 299.85/300.42  252499[10:Rew:251767.0,251935.1] ||  -> subclass(singleton(not_subclass_element(regular(complement(power_class(universal_class))),u)),power_class(universal_class))* subclass(regular(complement(power_class(universal_class))),u).
% 299.85/300.42  252502[11:Rew:251768.0,252141.0] ||  -> subclass(singleton(apply(choice,regular(complement(power_class(identity_relation))))),power_class(identity_relation))* equal(regular(complement(power_class(identity_relation))),identity_relation).
% 299.85/300.42  252503[11:Rew:251768.0,252144.1] ||  -> subclass(singleton(not_subclass_element(regular(complement(power_class(identity_relation))),u)),power_class(identity_relation))* subclass(regular(complement(power_class(identity_relation))),u).
% 299.85/300.42  252157[5:Rew:251768.0,216294.1] || equal(identity_relation,u) member(regular(power_class(u)),complement(power_class(identity_relation)))* -> equal(power_class(u),identity_relation).
% 299.85/300.42  252158[5:Rew:251768.0,210929.1] || equal(identity_relation,u) member(regular(power_class(u)),complement(power_class(identity_relation)))* -> equal(power_class(identity_relation),identity_relation).
% 299.85/300.42  252167[5:Rew:251768.0,216319.1] || equal(identity_relation,u) member(regular(power_class(identity_relation)),complement(power_class(identity_relation)))* -> equal(power_class(u),identity_relation)**.
% 299.85/300.42  252351[5:Rew:251762.0,217358.0] || equal(image(element_relation,union(u,v)),identity_relation) subclass(domain_relation,image(element_relation,union(u,v)))* -> .
% 299.85/300.42  252352[5:Rew:251762.0,217326.0] || equal(image(element_relation,union(u,v)),identity_relation) member(omega,image(element_relation,union(u,v)))* -> .
% 299.85/300.42  252353[5:Rew:251762.0,217256.0] || equal(image(element_relation,union(u,v)),identity_relation) subclass(universal_class,image(element_relation,union(u,v)))* -> .
% 299.85/300.42  252355[5:Rew:251762.0,217083.0] || equal(image(element_relation,union(u,v)),identity_relation) member(identity_relation,image(element_relation,union(u,v)))* -> .
% 299.85/300.42  252643[0:SpR:249200.0,8614.0] ||  -> subclass(symmetric_difference(union(u,complement(power_class(v))),complement(w)),union(intersection(complement(u),power_class(v)),w))*.
% 299.85/300.42  252651[5:SpR:249200.0,238317.0] ||  -> equal(intersection(complement(union(u,complement(power_class(v)))),symmetric_difference(universal_class,intersection(complement(u),power_class(v)))),identity_relation)**.
% 299.85/300.42  252652[5:SpR:249200.0,239951.0] ||  -> equal(intersection(symmetric_difference(universal_class,intersection(complement(u),power_class(v))),complement(union(u,complement(power_class(v))))),identity_relation)**.
% 299.85/300.42  252676[15:SpR:249200.0,194012.1] ||  -> member(singleton(identity_relation),intersection(complement(u),power_class(v)))* member(singleton(identity_relation),union(u,complement(power_class(v)))).
% 299.85/300.42  252692[5:SpR:249200.0,237599.0] ||  -> equal(intersection(union(u,complement(power_class(v))),restrict(intersection(complement(u),power_class(v)),w,x)),identity_relation)**.
% 299.85/300.42  252693[5:SpR:249200.0,239026.0] ||  -> equal(intersection(restrict(intersection(complement(u),power_class(v)),w,x),union(u,complement(power_class(v)))),identity_relation)**.
% 299.85/300.42  252698[0:SpR:249200.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),union(v,complement(power_class(w)))),union(u,intersection(complement(v),power_class(w))))*.
% 299.85/300.42  252751[5:SpL:249200.0,5195.0] || subclass(universal_class,union(u,complement(power_class(v)))) member(identity_relation,intersection(complement(u),power_class(v)))* -> .
% 299.85/300.42  252753[0:SpL:249200.0,124986.1] || equal(intersection(complement(u),power_class(v)),universal_class) subclass(universal_class,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  252754[0:SpL:249200.0,3615.1] || subclass(universal_class,intersection(complement(u),power_class(v)))* subclass(universal_class,union(u,complement(power_class(v)))) -> .
% 299.85/300.42  252755[0:SpL:249200.0,790.0] || subclass(universal_class,union(u,complement(power_class(v)))) member(omega,intersection(complement(u),power_class(v)))* -> .
% 299.85/300.42  252756[5:SpL:249200.0,40248.1] || subclass(domain_relation,intersection(complement(u),power_class(v)))* subclass(universal_class,union(u,complement(power_class(v)))) -> .
% 299.85/300.42  252768[5:SpL:249200.0,27099.1] || subclass(universal_class,intersection(complement(u),power_class(v))) subclass(domain_relation,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  252769[5:SpL:249200.0,27118.1] || subclass(domain_relation,intersection(complement(u),power_class(v)))* subclass(domain_relation,union(u,complement(power_class(v)))) -> .
% 299.85/300.42  252771[5:SpL:249200.0,27188.1] || equal(intersection(complement(u),power_class(v)),universal_class)** equal(union(u,complement(power_class(v))),domain_relation) -> .
% 299.85/300.42  252772[5:SpL:249200.0,27247.1] || equal(intersection(complement(u),power_class(v)),domain_relation)** equal(union(u,complement(power_class(v))),domain_relation) -> .
% 299.85/300.42  252774[5:SpL:249200.0,5193.0] || equal(complement(union(u,complement(power_class(v)))),universal_class) -> member(identity_relation,intersection(complement(u),power_class(v)))*.
% 299.85/300.42  252775[0:SpL:249200.0,889.0] || equal(complement(union(u,complement(power_class(v)))),universal_class) -> member(omega,intersection(complement(u),power_class(v)))*.
% 299.85/300.42  252777[0:SpL:249200.0,222412.0] || subclass(universal_class,complement(union(u,complement(power_class(v)))))* -> member(omega,intersection(complement(u),power_class(v))).
% 299.85/300.42  252778[5:SpL:249200.0,222410.0] || subclass(universal_class,complement(union(u,complement(power_class(v)))))* -> member(identity_relation,intersection(complement(u),power_class(v))).
% 299.85/300.42  252780[14:SpL:249200.0,178304.0] || equal(complement(union(u,complement(power_class(v)))),omega) -> member(identity_relation,intersection(complement(u),power_class(v)))*.
% 299.85/300.42  252787[14:SpL:249200.0,222425.0] || subclass(omega,complement(union(u,complement(power_class(v)))))* -> member(identity_relation,intersection(complement(u),power_class(v))).
% 299.85/300.42  252802[14:SpL:249200.0,178030.0] || subclass(omega,union(u,complement(power_class(v)))) member(identity_relation,intersection(complement(u),power_class(v)))* -> .
% 299.85/300.42  252804[14:SpL:249200.0,178428.1] || equal(intersection(complement(u),power_class(v)),omega)** equal(union(u,complement(power_class(v))),omega) -> .
% 299.85/300.42  252805[14:SpL:249200.0,178300.1] || equal(intersection(complement(u),power_class(v)),universal_class)** equal(union(u,complement(power_class(v))),omega) -> .
% 299.85/300.42  252807[15:SpL:249200.0,199274.0] || well_ordering(universal_class,union(u,complement(power_class(v)))) -> member(singleton(identity_relation),intersection(complement(u),power_class(v)))*.
% 299.85/300.42  252808[0:SpL:249200.0,152807.0] || well_ordering(universal_class,union(u,complement(power_class(v)))) well_ordering(universal_class,intersection(complement(u),power_class(v)))* -> .
% 299.85/300.42  252812[7:SpL:249200.0,189304.1] inductive(intersection(complement(u),power_class(v))) || equal(union(u,complement(power_class(v))),singleton(identity_relation))** -> .
% 299.85/300.42  252821[5:SpL:249200.0,206410.0] || subclass(union(u,complement(power_class(v))),identity_relation) well_ordering(universal_class,intersection(complement(u),power_class(v)))* -> .
% 299.85/300.42  252840[0:SpL:249200.0,222432.0] || member(u,complement(union(v,complement(power_class(w)))))* -> member(u,intersection(complement(v),power_class(w))).
% 299.85/300.42  252973[0:SpR:249208.0,8614.0] ||  -> subclass(symmetric_difference(union(complement(power_class(u)),v),complement(w)),union(intersection(power_class(u),complement(v)),w))*.
% 299.85/300.42  252981[5:SpR:249208.0,238317.0] ||  -> equal(intersection(complement(union(complement(power_class(u)),v)),symmetric_difference(universal_class,intersection(power_class(u),complement(v)))),identity_relation)**.
% 299.85/300.42  252982[5:SpR:249208.0,239951.0] ||  -> equal(intersection(symmetric_difference(universal_class,intersection(power_class(u),complement(v))),complement(union(complement(power_class(u)),v))),identity_relation)**.
% 299.85/300.42  253006[15:SpR:249208.0,194012.1] ||  -> member(singleton(identity_relation),intersection(power_class(u),complement(v)))* member(singleton(identity_relation),union(complement(power_class(u)),v)).
% 299.85/300.42  253022[5:SpR:249208.0,237599.0] ||  -> equal(intersection(union(complement(power_class(u)),v),restrict(intersection(power_class(u),complement(v)),w,x)),identity_relation)**.
% 299.85/300.42  253023[5:SpR:249208.0,239026.0] ||  -> equal(intersection(restrict(intersection(power_class(u),complement(v)),w,x),union(complement(power_class(u)),v)),identity_relation)**.
% 299.85/300.42  253028[0:SpR:249208.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),union(complement(power_class(v)),w)),union(u,intersection(power_class(v),complement(w))))*.
% 299.85/300.42  253084[5:SpL:249208.0,5195.0] || subclass(universal_class,union(complement(power_class(u)),v)) member(identity_relation,intersection(power_class(u),complement(v)))* -> .
% 299.85/300.42  253086[0:SpL:249208.0,124986.1] || equal(intersection(power_class(u),complement(v)),universal_class) subclass(universal_class,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  253087[0:SpL:249208.0,3615.1] || subclass(universal_class,intersection(power_class(u),complement(v)))* subclass(universal_class,union(complement(power_class(u)),v)) -> .
% 299.85/300.42  253088[0:SpL:249208.0,790.0] || subclass(universal_class,union(complement(power_class(u)),v)) member(omega,intersection(power_class(u),complement(v)))* -> .
% 299.85/300.42  253089[5:SpL:249208.0,40248.1] || subclass(domain_relation,intersection(power_class(u),complement(v)))* subclass(universal_class,union(complement(power_class(u)),v)) -> .
% 299.85/300.42  253101[5:SpL:249208.0,27099.1] || subclass(universal_class,intersection(power_class(u),complement(v))) subclass(domain_relation,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  253102[5:SpL:249208.0,27118.1] || subclass(domain_relation,intersection(power_class(u),complement(v)))* subclass(domain_relation,union(complement(power_class(u)),v)) -> .
% 299.85/300.42  253104[5:SpL:249208.0,27188.1] || equal(intersection(power_class(u),complement(v)),universal_class)** equal(union(complement(power_class(u)),v),domain_relation) -> .
% 299.85/300.42  253105[5:SpL:249208.0,27247.1] || equal(intersection(power_class(u),complement(v)),domain_relation)** equal(union(complement(power_class(u)),v),domain_relation) -> .
% 299.85/300.42  253107[5:SpL:249208.0,5193.0] || equal(complement(union(complement(power_class(u)),v)),universal_class) -> member(identity_relation,intersection(power_class(u),complement(v)))*.
% 299.85/300.42  253108[0:SpL:249208.0,889.0] || equal(complement(union(complement(power_class(u)),v)),universal_class) -> member(omega,intersection(power_class(u),complement(v)))*.
% 299.85/300.42  253110[0:SpL:249208.0,222412.0] || subclass(universal_class,complement(union(complement(power_class(u)),v)))* -> member(omega,intersection(power_class(u),complement(v))).
% 299.85/300.42  253111[5:SpL:249208.0,222410.0] || subclass(universal_class,complement(union(complement(power_class(u)),v)))* -> member(identity_relation,intersection(power_class(u),complement(v))).
% 299.85/300.42  253113[14:SpL:249208.0,178304.0] || equal(complement(union(complement(power_class(u)),v)),omega) -> member(identity_relation,intersection(power_class(u),complement(v)))*.
% 299.85/300.42  253120[14:SpL:249208.0,222425.0] || subclass(omega,complement(union(complement(power_class(u)),v)))* -> member(identity_relation,intersection(power_class(u),complement(v))).
% 299.85/300.42  253135[14:SpL:249208.0,178030.0] || subclass(omega,union(complement(power_class(u)),v)) member(identity_relation,intersection(power_class(u),complement(v)))* -> .
% 299.85/300.42  253137[14:SpL:249208.0,178428.1] || equal(intersection(power_class(u),complement(v)),omega)** equal(union(complement(power_class(u)),v),omega) -> .
% 299.85/300.42  253138[14:SpL:249208.0,178300.1] || equal(intersection(power_class(u),complement(v)),universal_class)** equal(union(complement(power_class(u)),v),omega) -> .
% 299.85/300.42  253140[15:SpL:249208.0,199274.0] || well_ordering(universal_class,union(complement(power_class(u)),v)) -> member(singleton(identity_relation),intersection(power_class(u),complement(v)))*.
% 299.85/300.42  253141[0:SpL:249208.0,152807.0] || well_ordering(universal_class,union(complement(power_class(u)),v)) well_ordering(universal_class,intersection(power_class(u),complement(v)))* -> .
% 299.85/300.42  253145[7:SpL:249208.0,189304.1] inductive(intersection(power_class(u),complement(v))) || equal(union(complement(power_class(u)),v),singleton(identity_relation))** -> .
% 299.85/300.42  253154[5:SpL:249208.0,206410.0] || subclass(union(complement(power_class(u)),v),identity_relation) well_ordering(universal_class,intersection(power_class(u),complement(v)))* -> .
% 299.85/300.42  253173[0:SpL:249208.0,222432.0] || member(u,complement(union(complement(power_class(v)),w)))* -> member(u,intersection(power_class(v),complement(w))).
% 299.85/300.42  253304[5:SpL:203228.1,249212.0] || equal(identity_relation,u) member(regular(power_class(u)),complement(power_class(u)))* -> equal(power_class(identity_relation),identity_relation).
% 299.85/300.42  253426[0:Res:779.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(ordered_pair(v,w),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253432[0:Res:762.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(unordered_pair(v,w),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253443[5:Res:5615.1,249201.0] || subclass(domain_relation,image(element_relation,power_class(u))) member(ordered_pair(identity_relation,identity_relation),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253469[20:Res:212523.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(regular(symmetrization_of(identity_relation)),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253490[4:Res:212539.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(least(element_relation,omega),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253491[4:Res:212361.1,249201.0] || subclass(omega,image(element_relation,power_class(u))) member(least(element_relation,omega),power_class(complement(power_class(u))))* -> .
% 299.85/300.42  253892[17:Res:195285.2,153534.1] || member(u,universal_class) equal(compose(v,u),identity_relation)** equal(complement(compose_class(v)),universal_class) -> .
% 299.85/300.42  254072[7:SpR:251758.0,230113.0] ||  -> subclass(regular(power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation)))* equal(power_class(complement(singleton(identity_relation))),identity_relation).
% 299.85/300.42  254263[7:Rew:251758.0,254149.1] || subclass(power_class(complement(singleton(identity_relation))),image(element_relation,singleton(identity_relation)))* -> subclass(universal_class,image(element_relation,singleton(identity_relation))).
% 299.85/300.42  254329[5:SpR:251759.0,230113.0] ||  -> subclass(regular(power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation)))* equal(power_class(complement(inverse(identity_relation))),identity_relation).
% 299.85/300.42  254519[5:Rew:251759.0,254405.1] || subclass(power_class(complement(inverse(identity_relation))),image(element_relation,symmetrization_of(identity_relation)))* -> subclass(universal_class,image(element_relation,symmetrization_of(identity_relation))).
% 299.85/300.42  254890[5:SpL:22519.0,20350.1] || member(u,universal_class) subclass(rest_relation,cantor(v)) -> member(ordered_pair(u,rest_of(u)),domain_of(v))*.
% 299.85/300.42  254946[0:Res:7.1,20350.1] || equal(intersection(u,v),rest_relation)** member(w,universal_class) -> member(ordered_pair(w,rest_of(w)),u)*.
% 299.85/300.42  255044[0:Res:7.1,20351.1] || equal(intersection(u,v),rest_relation)** member(w,universal_class) -> member(ordered_pair(w,rest_of(w)),v)*.
% 299.85/300.42  255067[0:SpL:44.0,20559.1] || subclass(universal_class,intersection(complement(u),complement(singleton(u))))* member(unordered_pair(v,w),successor(u))* -> .
% 299.85/300.42  255069[0:SpL:114.0,20559.1] || subclass(universal_class,intersection(complement(u),complement(inverse(u))))* member(unordered_pair(v,w),symmetrization_of(u))* -> .
% 299.85/300.42  255097[0:Res:783.1,20559.1] || subclass(ordered_pair(u,v),union(w,x))* subclass(universal_class,intersection(complement(w),complement(x))) -> .
% 299.85/300.42  255109[17:Rew:119684.0,255071.1,22454.0,255071.1] function(u) || subclass(universal_class,symmetric_difference(universal_class,u)) member(unordered_pair(v,w),successor(u))* -> .
% 299.85/300.42  255206[5:MRR:255178.1,5265.0] || equal(identity_relation,u) subclass(universal_class,symmetric_difference(v,w)) -> member(power_class(u),union(v,w))*.
% 299.85/300.42  255316[5:Res:29542.1,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> equal(w,identity_relation) member(power_class(regular(w)),v)*.
% 299.85/300.42  255342[5:Res:123649.1,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> equal(integer_of(w),identity_relation) member(power_class(w),v)*.
% 299.85/300.42  255343[5:Res:16080.1,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> equal(singleton(w),identity_relation) member(power_class(w),v)*.
% 299.85/300.42  255797[5:Res:7.1,5557.0] || equal(compose_class(u),omega) -> equal(integer_of(ordered_pair(v,w)),identity_relation)** equal(compose(u,v),w)*.
% 299.85/300.42  255843[5:Obv:255839.1] || member(singleton(first(regular(cross_product(u,v)))),cross_product(u,v))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.42  256214[5:MRR:256126.3,204344.1] || member(regular(u),complement(v)) subclass(u,regular(symmetric_difference(universal_class,v)))* -> equal(u,identity_relation).
% 299.85/300.42  256215[9:MRR:256123.3,201884.0] || subclass(u,regular(complement(inverse(identity_relation)))) -> subclass(singleton(regular(u)),symmetrization_of(identity_relation))* equal(u,identity_relation).
% 299.85/300.42  256216[7:MRR:256122.3,228808.0] || subclass(u,regular(complement(singleton(identity_relation)))) -> subclass(singleton(regular(u)),singleton(identity_relation))* equal(u,identity_relation).
% 299.85/300.42  256218[5:MRR:256135.3,203265.0] || subclass(u,regular(inverse(singleton(regular(u)))))* -> asymmetric(singleton(regular(u)),v)* equal(u,identity_relation).
% 299.85/300.42  256247[5:MRR:256246.2,206824.0] || subclass(restrict(u,v,w),regular(cross_product(v,w)))* -> equal(restrict(u,v,w),identity_relation).
% 299.85/300.42  256356[5:Res:943.1,256316.0] || member(complement(intersection(u,v)),symmetric_difference(u,v))* -> equal(singleton(complement(intersection(u,v))),identity_relation).
% 299.85/300.42  256449[5:MRR:256371.0,16080.1] ||  -> member(image(element_relation,power_class(u)),power_class(complement(power_class(u))))* equal(singleton(image(element_relation,power_class(u))),identity_relation).
% 299.85/300.42  256534[5:Res:29542.1,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> equal(w,identity_relation) member(sum_class(regular(w)),v)*.
% 299.85/300.42  256560[5:Res:123649.1,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> equal(integer_of(w),identity_relation) member(sum_class(w),v)*.
% 299.85/300.42  256561[5:Res:16080.1,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> equal(singleton(w),identity_relation) member(sum_class(w),v)*.
% 299.85/300.42  256658[0:Res:7.1,3675.0] || equal(image(u,singleton(v)),apply(u,v)) -> section(element_relation,image(u,singleton(v)),universal_class)*.
% 299.85/300.42  256731[5:Res:123649.1,7594.0] || subclass(universal_class,u) -> equal(integer_of(image(v,singleton(w))),identity_relation)** member(apply(v,w),u)*.
% 299.85/300.42  256732[5:Res:16080.1,7594.0] || subclass(universal_class,u) -> equal(singleton(image(v,singleton(w))),identity_relation)** member(apply(v,w),u)*.
% 299.85/300.42  256789[17:Res:7.1,195184.1] || equal(restrict(u,v,w),domain_relation)** member(x,universal_class) -> member(ordered_pair(x,identity_relation),u)*.
% 299.85/300.42  256842[0:Res:144714.1,251410.0] || equal(intersection(power_class(u),complement(v)),universal_class) member(omega,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  256893[14:Res:178680.1,251410.0] || equal(intersection(power_class(u),complement(v)),omega) member(identity_relation,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  256894[14:Res:178018.1,251410.0] || subclass(omega,intersection(power_class(u),complement(v))) member(identity_relation,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  256896[5:Res:119647.1,251410.0] || equal(intersection(power_class(u),complement(v)),universal_class) member(identity_relation,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  256897[5:Res:5196.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(identity_relation,union(complement(power_class(u)),v))* -> .
% 299.85/300.42  257034[0:Res:144714.1,251419.0] || equal(intersection(complement(u),power_class(v)),universal_class) member(omega,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  257085[14:Res:178680.1,251419.0] || equal(intersection(complement(u),power_class(v)),omega) member(identity_relation,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  257086[14:Res:178018.1,251419.0] || subclass(omega,intersection(complement(u),power_class(v))) member(identity_relation,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  257088[5:Res:119647.1,251419.0] || equal(intersection(complement(u),power_class(v)),universal_class) member(identity_relation,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  257089[5:Res:5196.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(identity_relation,union(u,complement(power_class(v))))* -> .
% 299.85/300.42  257158[0:SpL:44.0,20569.2] || member(u,complement(singleton(v)))* member(u,complement(v)) member(u,successor(v)) -> .
% 299.85/300.42  257160[0:SpL:114.0,20569.2] || member(u,complement(inverse(v)))* member(u,complement(v)) member(u,symmetrization_of(v)) -> .
% 299.85/300.42  257189[0:Res:144714.1,20569.2] || equal(union(u,v),universal_class)** member(omega,complement(v))* member(omega,complement(u))* -> .
% 299.85/300.42  257190[0:Res:761.1,20569.2] || subclass(universal_class,union(u,v))* member(omega,complement(v)) member(omega,complement(u)) -> .
% 299.85/300.42  257245[14:Res:178680.1,20569.2] || equal(union(u,v),omega)** member(identity_relation,complement(v))* member(identity_relation,complement(u))* -> .
% 299.85/300.42  257246[14:Res:178018.1,20569.2] || subclass(omega,union(u,v))* member(identity_relation,complement(v)) member(identity_relation,complement(u)) -> .
% 299.85/300.42  257248[5:Res:119647.1,20569.2] || equal(union(u,v),universal_class)** member(identity_relation,complement(v))* member(identity_relation,complement(u))* -> .
% 299.85/300.42  257249[5:Res:5196.1,20569.2] || subclass(universal_class,union(u,v))* member(identity_relation,complement(v)) member(identity_relation,complement(u)) -> .
% 299.85/300.42  257384[5:SpR:257293.1,5323.2] || equal(regular(u),omega) subclass(u,omega)* -> equal(u,identity_relation) equal(regular(u),identity_relation).
% 299.85/300.42  257440[5:SpL:47789.0,39999.0] || equal(complement(singleton(regular(ordered_pair(u,v)))),universal_class)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257441[5:SpL:47789.0,39989.0] || subclass(universal_class,complement(singleton(regular(ordered_pair(u,v)))))* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257445[5:SpL:47789.0,232831.0] || subclass(universal_class,regular(singleton(regular(ordered_pair(u,v)))))* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257446[5:SpL:47789.0,233050.0] || equal(regular(singleton(regular(ordered_pair(u,v)))),universal_class)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257450[5:SpL:47789.0,201824.0] || subclass(unordered_pair(regular(ordered_pair(u,v)),w),identity_relation)* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257451[5:SpL:47789.0,203269.0] || equal(unordered_pair(regular(ordered_pair(u,v)),w),identity_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  257468[5:SpL:47789.0,111352.0] || well_ordering(universal_class,regular(ordered_pair(u,singleton(v))))* -> equal(regular(ordered_pair(u,singleton(v))),singleton(u)).
% 299.85/300.42  257506[5:SpL:47789.0,201821.0] || subclass(unordered_pair(u,regular(ordered_pair(v,w))),identity_relation)* -> equal(regular(ordered_pair(v,w)),singleton(v)).
% 299.85/300.42  257507[5:SpL:47789.0,203268.0] || equal(unordered_pair(u,regular(ordered_pair(v,w))),identity_relation)** -> equal(regular(ordered_pair(v,w)),singleton(v)).
% 299.85/300.42  257596[5:SpR:257304.1,5323.2] || equal(regular(u),universal_class) subclass(u,omega)* -> equal(u,identity_relation) equal(regular(u),identity_relation).
% 299.85/300.42  257648[5:Res:7.1,125904.0] || equal(restrict(u,v,w),omega)** -> equal(integer_of(x),identity_relation) member(x,cross_product(v,w))*.
% 299.85/300.42  257689[5:Res:7.1,5464.0] || equal(unordered_pair(u,v),omega)** -> equal(integer_of(w),identity_relation)** equal(w,v)* equal(w,u)*.
% 299.85/300.42  257699[17:SpL:2089.1,256437.0] || subclass(domain_relation,flip(ordered_pair(not_subclass_element(cross_product(u,v),w),identity_relation)))* -> subclass(cross_product(u,v),w).
% 299.85/300.42  257791[5:MRR:257790.1,47782.0] || equal(unordered_pair(u,singleton(v)),singleton(u)) -> equal(apply(choice,ordered_pair(u,v)),singleton(u))**.
% 299.85/300.42  258611[0:Res:7.1,8164.1] || equal(u,complement(intersection(v,w)))* member(x,symmetric_difference(v,w))* -> member(x,u)*.
% 299.85/300.42  258628[5:Rew:118447.0,258555.1] || member(u,symmetric_difference(complement(v),universal_class))* subclass(union(v,identity_relation),w)* -> member(u,w)*.
% 299.85/300.42  258630[5:Rew:237718.0,258629.0] || member(u,union(complement(v),intersection(w,v)))* subclass(universal_class,x) -> member(u,x)*.
% 299.85/300.42  258632[5:Rew:238425.0,258631.0] || member(u,union(complement(v),intersection(v,w)))* subclass(universal_class,x) -> member(u,x)*.
% 299.85/300.42  258634[5:Rew:118524.0,258633.0] || member(u,union(complement(compose(element_relation,universal_class)),element_relation))* subclass(universal_class,v) -> member(u,v)*.
% 299.85/300.42  258637[5:Rew:238616.0,258636.0] || member(u,union(complement(domain_of(v)),cantor(v)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.42  258640[5:Rew:239128.0,258639.0] || member(u,union(intersection(v,w),complement(w)))* subclass(universal_class,x) -> member(u,x)*.
% 299.85/300.42  258642[5:Rew:240043.0,258641.0] || member(u,union(intersection(v,w),complement(v)))* subclass(universal_class,x) -> member(u,x)*.
% 299.85/300.42  258644[5:Rew:240239.0,258643.0] || member(u,union(cantor(v),complement(domain_of(v))))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.42  258803[17:SpL:2089.1,257705.0] || equal(flip(ordered_pair(not_subclass_element(cross_product(u,v),w),identity_relation)),domain_relation)** -> subclass(cross_product(u,v),w).
% 299.85/300.42  258825[5:Obv:258816.1] || equal(power_class(u),universal_class) -> equal(regular(unordered_pair(v,u)),v)** equal(unordered_pair(v,u),identity_relation).
% 299.85/300.42  258826[5:Obv:258815.1] || equal(power_class(u),universal_class) -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.42  258868[5:SpR:257883.1,123943.1] || equal(power_class(least(u,omega)),universal_class)** well_ordering(u,universal_class) -> equal(least(u,omega),identity_relation).
% 299.85/300.42  258929[5:Obv:258919.1] || equal(sum_class(u),universal_class) -> equal(regular(unordered_pair(v,u)),v)** equal(unordered_pair(v,u),identity_relation).
% 299.85/300.42  258930[5:Obv:258918.1] || equal(sum_class(u),universal_class) -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.42  258973[5:SpR:258448.1,123943.1] || equal(sum_class(least(u,omega)),universal_class)** well_ordering(u,universal_class) -> equal(least(u,omega),identity_relation).
% 299.85/300.42  258998[5:Res:7.1,8397.0] || equal(restrict(u,v,w),x)* -> equal(x,identity_relation) member(regular(x),cross_product(v,w))*.
% 299.85/300.42  259122[5:Res:256424.0,8898.0] ||  -> equal(singleton(complement(symmetric_difference(u,singleton(u)))),identity_relation) member(complement(symmetric_difference(u,singleton(u))),successor(u))*.
% 299.85/300.42  259123[5:Res:256424.0,8834.0] ||  -> equal(singleton(complement(symmetric_difference(u,inverse(u)))),identity_relation) member(complement(symmetric_difference(u,inverse(u))),symmetrization_of(u))*.
% 299.85/300.42  259133[5:Res:256424.0,776.0] || subclass(domain_of(u),v) -> equal(singleton(complement(cantor(u))),identity_relation) member(complement(cantor(u)),v)*.
% 299.85/300.42  259163[7:Rew:189471.0,259080.1] ||  -> member(power_class(complement(singleton(identity_relation))),image(element_relation,singleton(identity_relation)))* equal(singleton(power_class(complement(singleton(identity_relation)))),identity_relation).
% 299.85/300.42  259164[5:Rew:122494.0,259082.1] ||  -> member(power_class(complement(inverse(identity_relation))),image(element_relation,symmetrization_of(identity_relation)))* equal(singleton(power_class(complement(inverse(identity_relation)))),identity_relation).
% 299.85/300.42  259165[5:Rew:249206.0,259083.1] ||  -> member(power_class(complement(power_class(u))),image(element_relation,power_class(u)))* equal(singleton(power_class(complement(power_class(u)))),identity_relation).
% 299.85/300.42  259166[7:Rew:251758.0,259085.1] ||  -> member(image(element_relation,singleton(identity_relation)),power_class(complement(singleton(identity_relation))))* equal(singleton(image(element_relation,singleton(identity_relation))),identity_relation).
% 299.85/300.42  259167[5:Rew:251759.0,259086.1] ||  -> member(image(element_relation,symmetrization_of(identity_relation)),power_class(complement(inverse(identity_relation))))* equal(singleton(image(element_relation,symmetrization_of(identity_relation))),identity_relation).
% 299.85/300.42  259218[5:SpL:47789.0,256435.0] || subclass(ordered_pair(u,v),regular(ordered_pair(u,v)))* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  259582[5:SpL:47789.0,259229.0] || equal(regular(ordered_pair(u,v)),ordered_pair(u,v))** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  259679[0:Obv:259665.2] || member(u,domain_of(v)) member(w,cantor(v)) -> subclass(unordered_pair(w,u),domain_of(v))*.
% 299.85/300.42  259790[0:Obv:259775.2] || member(u,domain_of(v)) member(w,cantor(v)) -> subclass(unordered_pair(u,w),domain_of(v))*.
% 299.85/300.42  259915[0:Obv:259892.2] || subclass(u,symmetric_difference(v,w)) subclass(u,complement(union(v,w)))* -> subclass(u,x)*.
% 299.85/300.42  260037[0:Res:141.0,8430.0] || subclass(cross_product(universal_class,universal_class),u) -> subclass(rest_of(v),w) member(not_subclass_element(rest_of(v),w),u)*.
% 299.85/300.42  260038[0:Res:93.0,8430.0] || subclass(cross_product(universal_class,universal_class),u) -> subclass(compose_class(v),w) member(not_subclass_element(compose_class(v),w),u)*.
% 299.85/300.42  260044[0:Res:96.0,8430.0] || subclass(cross_product(universal_class,cross_product(universal_class,universal_class)),u)* -> subclass(composition_function,v) member(not_subclass_element(composition_function,v),u)*.
% 299.85/300.42  260048[0:Res:7.1,8430.0] || equal(u,v)* subclass(u,w)* -> subclass(v,x) member(not_subclass_element(v,x),w)*.
% 299.85/300.42  260649[5:Res:260484.1,8432.0] || subclass(universal_class,intersection(u,v))* -> subclass(cantor(w),x) member(not_subclass_element(cantor(w),x),u)*.
% 299.85/300.42  260650[5:Res:260484.1,8433.0] || subclass(universal_class,intersection(u,v))* -> subclass(cantor(w),x) member(not_subclass_element(cantor(w),x),v)*.
% 299.85/300.42  260657[5:Res:260484.1,5318.0] || subclass(universal_class,restrict(u,v,w))* -> equal(cantor(x),identity_relation) member(regular(cantor(x)),u)*.
% 299.85/300.42  261242[0:Rew:29.0,261156.1] single_valued_class(intersection(u,intersection(v,cross_product(universal_class,universal_class)))) ||  -> function(intersection(u,restrict(v,universal_class,universal_class)))*.
% 299.85/300.42  261278[0:Res:261060.0,729.1] inductive(intersection(u,restrict(omega,v,w))) ||  -> equal(intersection(u,restrict(omega,v,w)),omega)**.
% 299.85/300.42  261812[0:Rew:30.0,261726.1] single_valued_class(intersection(u,intersection(cross_product(universal_class,universal_class),v))) ||  -> function(intersection(u,restrict(v,universal_class,universal_class)))*.
% 299.85/300.42  262718[0:Rew:29.0,262632.1] single_valued_class(intersection(intersection(u,cross_product(universal_class,universal_class)),v)) ||  -> function(intersection(restrict(u,universal_class,universal_class),v))*.
% 299.85/300.42  262922[0:Rew:29.0,262819.1] single_valued_class(complement(complement(intersection(u,cross_product(universal_class,universal_class))))) ||  -> function(complement(complement(restrict(u,universal_class,universal_class))))*.
% 299.85/300.42  263562[0:Rew:30.0,263475.1] single_valued_class(intersection(intersection(cross_product(universal_class,universal_class),u),v)) ||  -> function(intersection(restrict(u,universal_class,universal_class),v))*.
% 299.85/300.42  263610[5:Res:9102.1,202409.1] inductive(domain_of(restrict(cross_product(u,identity_relation),v,w))) || section(cross_product(v,w),identity_relation,u)* -> .
% 299.85/300.42  263614[5:Res:9102.1,204822.0] || section(cross_product(u,v),identity_relation,w) -> equal(cantor(restrict(cross_product(w,identity_relation),u,v)),identity_relation)**.
% 299.85/300.42  263858[5:Res:263738.0,8428.0] ||  -> subclass(symmetric_difference(universal_class,complement(singleton(u))),v) equal(not_subclass_element(symmetric_difference(universal_class,complement(singleton(u))),v),u)**.
% 299.85/300.42  264218[0:Rew:30.0,264113.1] single_valued_class(complement(complement(intersection(cross_product(universal_class,universal_class),u)))) ||  -> function(complement(complement(restrict(u,universal_class,universal_class))))*.
% 299.85/300.42  264386[5:Res:264292.0,5316.0] || subclass(complement(u),v) -> equal(complement(successor(u)),identity_relation) member(regular(complement(successor(u))),v)*.
% 299.85/300.42  264436[5:Res:264294.0,5316.0] || subclass(complement(u),v) -> equal(complement(symmetrization_of(u)),identity_relation) member(regular(complement(symmetrization_of(u))),v)*.
% 299.85/300.42  264510[7:Res:264355.0,8428.0] ||  -> subclass(complement(successor(complement(singleton(identity_relation)))),u) equal(not_subclass_element(complement(successor(complement(singleton(identity_relation)))),u),identity_relation)**.
% 299.85/300.42  264561[7:Res:264409.0,8428.0] ||  -> subclass(complement(symmetrization_of(complement(singleton(identity_relation)))),u) equal(not_subclass_element(complement(symmetrization_of(complement(singleton(identity_relation)))),u),identity_relation)**.
% 299.85/300.42  264707[5:SpR:579.0,261641.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,image(element_relation,union(v,w)))),power_class(intersection(complement(v),complement(w))))*.
% 299.85/300.42  264839[5:SpR:579.0,263389.0] ||  -> subclass(intersection(symmetric_difference(universal_class,image(element_relation,union(u,v))),w),power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.42  264925[5:Res:263560.1,5316.0] || equal(complement(u),identity_relation) subclass(u,v)* -> equal(w,identity_relation) member(regular(w),v)*.
% 299.85/300.42  264941[5:Res:263560.1,8435.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> subclass(x,y) member(not_subclass_element(x,y),u)*.
% 299.85/300.42  264959[5:Res:263560.1,5465.0] || equal(complement(u),identity_relation) subclass(u,v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.42  265105[17:Res:263560.1,195193.1] || equal(complement(intersection(u,v)),identity_relation)** member(w,universal_class) -> member(ordered_pair(w,identity_relation),v)*.
% 299.85/300.42  265106[17:Res:263560.1,195185.1] || equal(complement(intersection(u,v)),identity_relation)** member(w,universal_class) -> member(ordered_pair(w,identity_relation),u)*.
% 299.85/300.42  265409[5:Res:263560.1,3524.1] || equal(complement(u),identity_relation) member(ordered_pair(v,w),compose(x,y))* -> member(w,u)*.
% 299.85/300.42  265426[20:MRR:263683.1,265205.0] || well_ordering(u,inverse(identity_relation)) -> member(least(u,complement(complement(symmetrization_of(identity_relation)))),complement(complement(symmetrization_of(identity_relation))))*.
% 299.85/300.42  265649[20:Res:265633.0,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> member(sum_class(regular(complement(complement(symmetrization_of(identity_relation))))),v)*.
% 299.85/300.42  265650[20:Res:265633.0,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> member(power_class(regular(complement(complement(symmetrization_of(identity_relation))))),v)*.
% 299.85/300.42  265819[5:SpR:122708.0,262147.0] ||  -> subclass(restrict(complement(union(symmetric_difference(universal_class,u),v)),w,x),intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.42  265820[5:SpR:122711.0,262147.0] ||  -> subclass(restrict(complement(union(u,symmetric_difference(universal_class,v))),w,x),intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.42  265851[0:Res:262147.0,729.1] inductive(restrict(complement(complement(omega)),u,v)) ||  -> equal(restrict(complement(complement(omega)),u,v),omega)**.
% 299.85/300.42  265993[0:Res:262737.0,729.1] inductive(complement(complement(restrict(omega,u,v)))) ||  -> equal(complement(complement(restrict(omega,u,v))),omega)**.
% 299.85/300.42  266151[0:Res:261130.0,729.1] inductive(restrict(intersection(u,omega),v,w)) ||  -> equal(restrict(intersection(u,omega),v,w),omega)**.
% 299.85/300.42  266336[0:SpR:930.0,261700.0] ||  -> subclass(restrict(symmetric_difference(complement(intersection(u,v)),union(u,v)),w,x),complement(symmetric_difference(u,v)))*.
% 299.85/300.42  266396[0:Res:261700.0,729.1] inductive(restrict(intersection(omega,u),v,w)) ||  -> equal(restrict(intersection(omega,u),v,w),omega)**.
% 299.85/300.42  266526[0:Res:262535.0,729.1] inductive(intersection(restrict(omega,u,v),w)) ||  -> equal(intersection(restrict(omega,u,v),w),omega)**.
% 299.85/300.42  266580[0:Res:176.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(singleton(u),omega)),second(ordered_pair(singleton(u),omega))),ordered_pair(singleton(u),omega))**.
% 299.85/300.42  266585[5:Res:205135.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(power_class(identity_relation),omega)),second(ordered_pair(power_class(identity_relation),omega))),ordered_pair(power_class(identity_relation),omega))**.
% 299.85/300.42  266988[13:MRR:266975.3,203223.0] || member(sum_class(u),element_relation)* member(u,universal_class) subclass(universal_class,regular(compose(element_relation,universal_class)))* -> .
% 299.85/300.42  267124[13:MRR:267099.3,203223.0] || member(power_class(u),element_relation)* member(u,universal_class) subclass(universal_class,regular(compose(element_relation,universal_class)))* -> .
% 299.85/300.42  267550[5:Res:130.2,263650.0] || connected(u,symmetrization_of(identity_relation)) -> well_ordering(u,symmetrization_of(identity_relation)) subclass(not_well_ordering(u,symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.85/300.42  267605[20:MRR:267598.1,212515.0] || well_ordering(u,inverse(identity_relation)) -> member(least(u,singleton(regular(symmetrization_of(identity_relation)))),singleton(regular(symmetrization_of(identity_relation))))*.
% 299.85/300.42  268363[5:SpL:233410.0,9122.1] || member(universal_class,domain_of(cross_product(u,v))) equal(restrict(cross_product(identity_relation,universal_class),u,v),identity_relation)** -> .
% 299.85/300.42  268377[5:SpL:249200.0,264001.0] || equal(complement(union(u,complement(power_class(v)))),universal_class) -> subclass(universal_class,intersection(complement(u),power_class(v)))*.
% 299.85/300.42  268378[5:SpL:249208.0,264001.0] || equal(complement(union(complement(power_class(u)),v)),universal_class) -> subclass(universal_class,intersection(power_class(u),complement(v)))*.
% 299.85/300.42  268474[5:SpR:249200.0,264384.1] || equal(successor(intersection(complement(u),power_class(v))),identity_relation) -> subclass(universal_class,union(u,complement(power_class(v))))*.
% 299.85/300.42  268475[5:SpR:249208.0,264384.1] || equal(successor(intersection(power_class(u),complement(v))),identity_relation) -> subclass(universal_class,union(complement(power_class(u)),v))*.
% 299.85/300.42  268832[5:Res:52.1,5556.0] inductive(rest_of(u)) ||  -> equal(integer_of(ordered_pair(v,w)),identity_relation)** equal(restrict(u,v,universal_class),w)*.
% 299.85/300.42  268932[5:Obv:268901.1] || subclass(intersection(u,regular(v)),v)* -> equal(intersection(u,regular(v)),identity_relation) equal(v,identity_relation).
% 299.85/300.42  268980[5:SpL:47789.0,268511.0] || equal(successor(singleton(regular(ordered_pair(u,v)))),identity_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  269110[5:Obv:269078.1] || subclass(intersection(regular(u),v),u)* -> equal(intersection(regular(u),v),identity_relation) equal(u,identity_relation).
% 299.85/300.42  269366[5:SpR:249200.0,264434.1] || equal(symmetrization_of(intersection(complement(u),power_class(v))),identity_relation) -> subclass(universal_class,union(u,complement(power_class(v))))*.
% 299.85/300.42  269367[5:SpR:249208.0,264434.1] || equal(symmetrization_of(intersection(power_class(u),complement(v))),identity_relation) -> subclass(universal_class,union(complement(power_class(u)),v))*.
% 299.85/300.42  269609[5:Res:5201.1,7532.1] inductive(power_class(intersection(complement(u),complement(v)))) || member(identity_relation,image(element_relation,union(u,v)))* -> .
% 299.85/300.42  269921[17:Res:207942.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(regular(complement(power_class(identity_relation))),identity_relation),v)*.
% 299.85/300.42  269923[17:Res:208126.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(regular(complement(power_class(universal_class))),identity_relation),v)*.
% 299.85/300.42  269926[17:Res:207784.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(regular(complement(symmetrization_of(identity_relation))),identity_relation),v)*.
% 299.85/300.42  269971[5:SpL:47789.0,269403.0] || equal(symmetrization_of(singleton(regular(ordered_pair(u,v)))),identity_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.42  270103[5:SpR:251233.0,168067.1] || equal(complement(union(complement(power_class(u)),v)),universal_class)** -> equal(symmetric_difference(power_class(u),complement(v)),identity_relation).
% 299.85/300.42  270199[0:SpL:251233.0,817.0] || subclass(universal_class,symmetric_difference(power_class(u),complement(v))) -> member(singleton(w),union(complement(power_class(u)),v))*.
% 299.85/300.42  270205[0:SpL:251233.0,4131.0] || equal(symmetric_difference(power_class(u),complement(v)),universal_class) -> member(singleton(w),union(complement(power_class(u)),v))*.
% 299.85/300.42  270207[5:SpL:251233.0,203648.0] || equal(complement(symmetric_difference(power_class(u),complement(v))),identity_relation) -> member(identity_relation,union(complement(power_class(u)),v))*.
% 299.85/300.42  270215[7:SpL:251233.0,125684.0] || equal(symmetric_difference(power_class(u),complement(v)),singleton(identity_relation)) -> member(identity_relation,union(complement(power_class(u)),v))*.
% 299.85/300.42  270815[5:Obv:270806.1] || equal(complement(u),identity_relation) -> equal(regular(unordered_pair(v,u)),v)** equal(unordered_pair(v,u),identity_relation).
% 299.85/300.42  270816[5:Obv:270805.1] || equal(complement(u),identity_relation) -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.42  270863[5:SpR:264958.1,123943.1] || equal(complement(least(u,omega)),identity_relation)** well_ordering(u,universal_class) -> equal(least(u,omega),identity_relation).
% 299.85/300.42  270881[5:SpL:249200.0,265197.0] || equal(complement(union(u,complement(power_class(v)))),identity_relation)** -> equal(intersection(complement(u),power_class(v)),identity_relation).
% 299.85/300.42  270882[5:SpL:249208.0,265197.0] || equal(complement(union(complement(power_class(u)),v)),identity_relation)** -> equal(intersection(power_class(u),complement(v)),identity_relation).
% 299.85/300.42  8618[0:Res:8337.0,8.0] || subclass(complement(intersection(u,v)),symmetric_difference(u,v))* -> equal(complement(intersection(u,v)),symmetric_difference(u,v)).
% 299.85/300.42  47859[0:SpL:160.0,8165.1] || member(u,symmetric_difference(complement(intersection(v,w)),union(v,w)))* member(u,symmetric_difference(v,w)) -> .
% 299.85/300.42  3622[0:Res:24.2,816.1] || member(singleton(u),v)* member(singleton(u),w)* subclass(universal_class,complement(intersection(w,v)))* -> .
% 299.85/300.42  8144[0:SpR:160.0,943.1] || member(u,symmetric_difference(complement(intersection(v,w)),union(v,w)))* -> member(u,complement(symmetric_difference(v,w))).
% 299.85/300.42  29465[0:Res:7.1,2609.2] || equal(u,intersection(v,w))* member(x,w)* member(x,v)* -> member(x,u)*.
% 299.85/300.42  32868[0:Obv:32846.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),w),u)** subclass(unordered_pair(u,v),w) member(v,unordered_pair(u,v))*.
% 299.85/300.42  32867[0:Obv:32853.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),w),v)** subclass(unordered_pair(u,v),w) member(u,unordered_pair(u,v))*.
% 299.85/300.42  47935[0:Res:783.1,8165.1] || subclass(ordered_pair(u,v),intersection(w,x)) member(unordered_pair(u,singleton(v)),symmetric_difference(w,x))* -> .
% 299.85/300.42  47753[0:Res:783.1,595.0] || subclass(ordered_pair(u,v),restrict(w,x,y))* -> member(unordered_pair(u,singleton(v)),cross_product(x,y))*.
% 299.85/300.42  115988[0:Res:5172.1,2.0] || subclass(universal_class,symmetric_difference(u,v)) subclass(union(u,v),w)* -> member(unordered_pair(x,y),w)*.
% 299.85/300.42  40930[0:SpL:939.0,1003.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(unordered_pair(x,y),complement(restrict(w,u,v)))*.
% 299.85/300.42  40929[0:SpL:938.0,1003.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(unordered_pair(x,y),complement(restrict(u,v,w)))*.
% 299.85/300.42  47915[0:Res:764.2,8165.1] || member(u,universal_class) subclass(universal_class,intersection(v,w)) member(power_class(u),symmetric_difference(v,w))* -> .
% 299.85/300.42  8399[0:Res:764.2,595.0] || member(u,universal_class) subclass(universal_class,restrict(v,w,x))* -> member(power_class(u),cross_product(w,x))*.
% 299.85/300.42  8167[0:Res:943.1,4.0] || member(not_subclass_element(u,complement(intersection(v,w))),symmetric_difference(v,w))* -> subclass(u,complement(intersection(v,w))).
% 299.85/300.42  34676[0:Obv:34671.2] || subclass(u,v) member(not_subclass_element(u,intersection(w,v)),w)* -> subclass(u,intersection(w,v)).
% 299.85/300.42  47914[0:Res:766.2,8165.1] || subclass(u,intersection(v,w)) member(not_subclass_element(u,x),symmetric_difference(v,w))* -> subclass(u,x).
% 299.85/300.42  8434[0:Res:766.2,595.0] || subclass(u,restrict(v,w,x))* -> subclass(u,y) member(not_subclass_element(u,y),cross_product(w,x))*.
% 299.85/300.42  118169[0:Rew:30.0,118097.1] || member(not_subclass_element(u,restrict(u,v,w)),cross_product(v,w))* -> subclass(u,restrict(u,v,w)).
% 299.85/300.42  123154[5:Rew:122359.0,123153.0] || member(not_subclass_element(intersection(u,complement(v)),w),complement(complement(v)))* -> subclass(intersection(u,complement(v)),w).
% 299.85/300.42  123160[5:Rew:122359.0,123159.0] || member(not_subclass_element(intersection(complement(u),v),w),complement(complement(u)))* -> subclass(intersection(complement(u),v),w).
% 299.85/300.42  707[0:Rew:27.0,699.1] || member(not_subclass_element(union(u,v),w),intersection(complement(u),complement(v)))* -> subclass(union(u,v),w).
% 299.85/300.42  34678[0:Obv:34670.1] || member(not_subclass_element(intersection(u,v),intersection(w,v)),w)* -> subclass(intersection(u,v),intersection(w,v)).
% 299.85/300.42  34679[0:Obv:34656.1] || member(not_subclass_element(intersection(u,v),intersection(w,u)),w)* -> subclass(intersection(u,v),intersection(w,u)).
% 299.85/300.42  118184[0:MRR:118144.0,29531.1] ||  -> member(not_subclass_element(u,intersection(union(v,w),u)),complement(w))* subclass(u,intersection(union(v,w),u)).
% 299.85/300.42  118183[0:MRR:118145.0,29531.1] ||  -> member(not_subclass_element(u,intersection(union(v,w),u)),complement(v))* subclass(u,intersection(union(v,w),u)).
% 299.85/300.42  47690[0:Obv:47670.1] || member(not_subclass_element(complement(complement(u)),intersection(v,u)),v)* -> subclass(complement(complement(u)),intersection(v,u)).
% 299.85/300.42  51722[0:Res:20366.2,2.0] || member(u,universal_class)* subclass(rest_relation,rest_of(v)) subclass(domain_of(v),w)* -> member(u,w)*.
% 299.85/300.42  116684[0:Res:27933.1,2.0] || member(u,universal_class) subclass(union(v,w),x)* -> member(u,complement(v))* member(u,x)*.
% 299.85/300.42  117063[0:Res:27934.1,2.0] || member(u,universal_class) subclass(union(v,w),x)* -> member(u,complement(w))* member(u,x)*.
% 299.85/300.42  83626[0:Res:45819.1,773.1] || subclass(complement(u),cantor(v))* member(w,universal_class) -> member(w,u)* member(w,domain_of(v))*.
% 299.85/300.42  8640[0:Res:8246.0,8.0] || subclass(cross_product(u,v),restrict(w,u,v))* -> equal(restrict(w,u,v),cross_product(u,v)).
% 299.85/300.42  46197[0:Res:45887.0,8.0] || subclass(domain_of(u),restrict(cantor(u),v,w))* -> equal(restrict(cantor(u),v,w),domain_of(u)).
% 299.85/300.42  41209[0:SpL:123.0,41200.1] || equal(complement(rest_of(restrict(u,v,singleton(w)))),universal_class)** member(x,segment(u,v,w))* -> .
% 299.85/300.42  38696[5:SpL:123.0,37924.1] || subclass(domain_relation,cantor(restrict(u,v,singleton(w))))* subclass(domain_relation,complement(segment(u,v,w))) -> .
% 299.85/300.42  40442[5:SpL:123.0,40265.1] || subclass(domain_relation,cantor(restrict(u,v,singleton(w))))* subclass(universal_class,complement(segment(u,v,w))) -> .
% 299.85/300.42  39314[5:SpL:123.0,39254.1] || equal(cantor(restrict(u,v,singleton(w))),domain_relation) subclass(domain_relation,complement(segment(u,v,w)))* -> .
% 299.85/300.42  38913[5:SpL:123.0,38886.1] || equal(cantor(restrict(u,v,singleton(w))),domain_relation)** equal(complement(segment(u,v,w)),domain_relation) -> .
% 299.85/300.42  40405[5:SpL:123.0,40264.1] || equal(cantor(restrict(u,v,singleton(w))),domain_relation) subclass(universal_class,complement(segment(u,v,w)))* -> .
% 299.85/300.42  21275[0:SpL:123.0,4154.1] || subclass(universal_class,cantor(restrict(u,v,singleton(w))))* subclass(universal_class,complement(segment(u,v,w))) -> .
% 299.85/300.42  38891[5:SpL:123.0,38805.1] || equal(complement(cantor(restrict(u,v,singleton(w)))),domain_relation)** subclass(domain_relation,segment(u,v,w)) -> .
% 299.85/300.42  40479[5:SpL:123.0,40386.1] || equal(complement(cantor(restrict(u,v,singleton(w)))),universal_class)** subclass(domain_relation,segment(u,v,w)) -> .
% 299.85/300.42  20353[0:Res:780.2,596.0] || member(u,universal_class) subclass(rest_relation,restrict(v,w,x))* -> member(ordered_pair(u,rest_of(u)),v)*.
% 299.85/300.42  28266[5:MRR:28245.3,5188.0] || asymmetric(u,v)* member(w,cross_product(v,v))* member(w,intersection(u,inverse(u)))* -> .
% 299.85/300.42  81886[0:Res:45819.1,720.1] function(domain_of(u)) || subclass(cross_product(universal_class,universal_class),cantor(u))* -> equal(cross_product(universal_class,universal_class),domain_of(u)).
% 299.85/300.42  3334[0:SpR:647.0,17.2] || member(u,v) member(singleton(u),w) -> member(singleton(singleton(singleton(u))),cross_product(w,v))*.
% 299.85/300.42  40237[0:Res:3654.2,1025.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,w) subclass(universal_class,complement(w))* -> .
% 299.85/300.42  144765[0:SpL:930.0,791.0] || subclass(universal_class,symmetric_difference(complement(intersection(u,v)),union(u,v)))* -> member(omega,complement(symmetric_difference(u,v))).
% 299.85/300.42  144785[0:SpL:930.0,928.0] || equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),universal_class)** -> member(omega,complement(symmetric_difference(u,v))).
% 299.85/300.42  153449[0:Res:366.1,119626.0] ||  -> subclass(intersection(symmetric_difference(universal_class,u),v),w) member(not_subclass_element(intersection(symmetric_difference(universal_class,u),v),w),complement(u))*.
% 299.85/300.42  153455[0:Res:780.2,119626.0] || member(u,universal_class) subclass(rest_relation,symmetric_difference(universal_class,v)) -> member(ordered_pair(u,rest_of(u)),complement(v))*.
% 299.85/300.42  153458[0:Res:356.1,119626.0] ||  -> subclass(intersection(u,symmetric_difference(universal_class,v)),w) member(not_subclass_element(intersection(u,symmetric_difference(universal_class,v)),w),complement(v))*.
% 299.85/300.42  153507[0:Res:366.1,119659.0] || member(not_subclass_element(intersection(symmetric_difference(universal_class,u),v),w),u)* -> subclass(intersection(symmetric_difference(universal_class,u),v),w).
% 299.85/300.42  153513[0:Res:780.2,119659.0] || member(u,universal_class) subclass(rest_relation,symmetric_difference(universal_class,v)) member(ordered_pair(u,rest_of(u)),v)* -> .
% 299.85/300.42  153516[0:Res:356.1,119659.0] || member(not_subclass_element(intersection(u,symmetric_difference(universal_class,v)),w),v)* -> subclass(intersection(u,symmetric_difference(universal_class,v)),w).
% 299.85/300.42  153872[5:Res:153612.1,134.1] || equal(complement(domain_of(restrict(u,v,w))),universal_class)** subclass(w,v) -> section(u,w,v).
% 299.85/300.42  157136[0:SpR:939.0,146022.0] ||  -> equal(intersection(complement(restrict(u,v,w)),symmetric_difference(cross_product(v,w),u)),symmetric_difference(cross_product(v,w),u))**.
% 299.85/300.42  157225[0:SpR:938.0,146022.0] ||  -> equal(intersection(complement(restrict(u,v,w)),symmetric_difference(u,cross_product(v,w))),symmetric_difference(u,cross_product(v,w)))**.
% 299.85/300.42  160633[5:Res:153612.1,1014.1] || equal(complement(u),universal_class) section(v,u,w) -> equal(domain_of(restrict(v,w,u)),u)**.
% 299.85/300.42  160714[5:SpR:120682.0,146067.0] ||  -> subclass(symmetric_difference(segment(universal_class,u,v),cantor(cross_product(u,singleton(v)))),complement(cantor(cross_product(u,singleton(v)))))*.
% 299.85/300.42  161174[5:Res:3654.2,153534.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,w)* equal(complement(w),universal_class) -> .
% 299.85/300.42  162479[0:Res:122671.0,8898.0] ||  -> subclass(u,complement(symmetric_difference(v,singleton(v)))) member(not_subclass_element(u,complement(symmetric_difference(v,singleton(v)))),successor(v))*.
% 299.85/300.42  162530[0:Obv:162455.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),complement(w)),u)** member(v,w) subclass(unordered_pair(u,v),complement(w)).
% 299.85/300.42  162531[0:Obv:162454.0] ||  -> equal(not_subclass_element(unordered_pair(u,v),complement(w)),v)** member(u,w) subclass(unordered_pair(u,v),complement(w)).
% 299.85/300.42  165334[5:Rew:165324.1,160882.2] || equal(complement(complement(complement(symmetrization_of(u)))),universal_class)** connected(u,v)* -> equal(cross_product(v,v),identity_relation)**.
% 299.85/300.42  34338[5:Res:5265.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,identity_relation)),second(ordered_pair(u,identity_relation))),ordered_pair(u,identity_relation))**.
% 299.85/300.42  30952[5:Res:8453.1,3640.1] || equal(segment(u,v,w),identity_relation) subclass(singleton(w),v) -> section(u,singleton(w),v)*.
% 299.85/300.42  35120[5:SpL:930.0,5192.0] || subclass(universal_class,symmetric_difference(complement(intersection(u,v)),union(u,v)))* -> member(identity_relation,complement(symmetric_difference(u,v))).
% 299.85/300.42  35128[5:SpL:930.0,5191.0] || equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),universal_class)** -> member(identity_relation,complement(symmetric_difference(u,v))).
% 299.85/300.42  5626[5:Rew:5180.0,5167.0] ||  -> equal(intersection(symmetric_difference(u,v),w),identity_relation) member(regular(intersection(symmetric_difference(u,v),w)),union(u,v))*.
% 299.85/300.42  5627[5:Rew:5180.0,5174.0] ||  -> equal(intersection(u,symmetric_difference(v,w)),identity_relation) member(regular(intersection(u,symmetric_difference(v,w))),union(v,w))*.
% 299.85/300.42  5583[5:Rew:5180.0,4901.0] ||  -> equal(intersection(u,restrict(v,w,x)),identity_relation) member(regular(intersection(u,restrict(v,w,x))),v)*.
% 299.85/300.42  5608[5:Rew:5180.0,5028.0] ||  -> equal(intersection(restrict(u,v,w),x),identity_relation) member(regular(intersection(restrict(u,v,w),x)),u)*.
% 299.85/300.42  9098[5:SpR:598.0,5245.0] ||  -> equal(first(not_subclass_element(restrict(cross_product(u,singleton(v)),w,x),identity_relation)),domain__dfg(cross_product(w,x),u,v))**.
% 299.85/300.42  9099[5:SpR:598.0,5246.0] ||  -> equal(second(not_subclass_element(restrict(cross_product(singleton(u),v),w,x),identity_relation)),range__dfg(cross_product(w,x),u,v))**.
% 299.85/300.42  113988[5:Obv:113952.2] || member(u,v) member(u,intersection(singleton(v),w))* -> equal(intersection(singleton(v),w),identity_relation).
% 299.85/300.42  114211[5:Obv:114174.2] || member(u,v) member(u,intersection(w,singleton(v)))* -> equal(intersection(w,singleton(v)),identity_relation).
% 299.85/300.42  117674[5:Res:8249.0,5320.0] ||  -> equal(restrict(intersection(u,v),w,x),identity_relation) member(regular(restrict(intersection(u,v),w,x)),v)*.
% 299.85/300.42  117873[5:Res:8249.0,5321.0] ||  -> equal(restrict(intersection(u,v),w,x),identity_relation) member(regular(restrict(intersection(u,v),w,x)),u)*.
% 299.85/300.42  39410[5:Res:29628.0,596.0] ||  -> equal(complement(complement(restrict(u,v,w))),identity_relation) member(regular(complement(complement(restrict(u,v,w)))),u)*.
% 299.85/300.42  39416[5:Res:29628.0,944.0] ||  -> equal(complement(complement(symmetric_difference(u,v))),identity_relation) member(regular(complement(complement(symmetric_difference(u,v)))),union(u,v))*.
% 299.85/300.42  124956[5:SpL:27.0,113722.0] || subclass(intersection(complement(u),complement(v)),union(u,v))* -> equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.42  125956[5:Res:5288.2,693.0] || subclass(omega,rest_of(u)) -> equal(integer_of(singleton(singleton(singleton(v)))),identity_relation)** member(singleton(v),domain_of(u))*.
% 299.85/300.42  125972[5:Res:5288.2,34675.0] || subclass(omega,u) -> equal(integer_of(not_subclass_element(v,intersection(u,v))),identity_relation)** subclass(v,intersection(u,v)).
% 299.85/300.42  123000[5:Rew:119684.0,24548.1] || member(u,intersection(complement(v),union(w,identity_relation)))* member(u,union(v,symmetric_difference(universal_class,w))) -> .
% 299.85/300.42  123001[5:Rew:119684.0,52354.0] || subclass(ordered_pair(u,v),symmetric_difference(universal_class,w)) member(unordered_pair(u,singleton(v)),union(w,identity_relation))* -> .
% 299.85/300.42  40211[5:SpL:5338.1,1025.1] || subclass(universal_class,complement(u)) member(regular(cross_product(v,w)),u)* -> equal(cross_product(v,w),identity_relation).
% 299.85/300.42  39434[5:Rew:27.0,39380.1] ||  -> member(regular(complement(union(u,v))),intersection(complement(u),complement(v)))* equal(complement(union(u,v)),identity_relation).
% 299.85/300.42  117910[5:Res:5343.1,2.0] || subclass(u,v) -> equal(restrict(u,w,x),identity_relation) member(regular(restrict(u,w,x)),v)*.
% 299.85/300.42  47766[5:Res:783.1,5405.0] || subclass(ordered_pair(u,v),regular(w)) member(unordered_pair(u,singleton(v)),w)* -> equal(w,identity_relation).
% 299.85/300.42  125901[5:Res:5288.2,776.0] || subclass(omega,cantor(u)) subclass(domain_of(u),v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.42  125909[5:Res:5288.2,8157.0] || subclass(omega,symmetric_difference(complement(u),complement(v)))* -> equal(integer_of(w),identity_relation) member(w,union(u,v))*.
% 299.85/300.42  117428[5:Res:5586.1,2.0] || subclass(union(u,v),w) -> equal(symmetric_difference(u,v),identity_relation) member(regular(symmetric_difference(u,v)),w)*.
% 299.85/300.42  122993[5:Rew:119684.0,24546.1] || member(u,intersection(union(v,identity_relation),complement(w)))* member(u,union(symmetric_difference(universal_class,v),w)) -> .
% 299.85/300.42  122994[5:Rew:119684.0,52334.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(universal_class,v)) member(sum_class(u),union(v,identity_relation))* -> .
% 299.85/300.42  122995[5:Rew:119684.0,52333.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(universal_class,v)) member(power_class(u),union(v,identity_relation))* -> .
% 299.85/300.42  122996[5:Rew:119684.0,52332.0] || subclass(u,symmetric_difference(universal_class,v)) member(not_subclass_element(u,w),union(v,identity_relation))* -> subclass(u,w).
% 299.85/300.42  8444[5:Res:766.2,5405.0] || subclass(u,regular(v)) member(not_subclass_element(u,w),v)* -> subclass(u,w) equal(v,identity_relation).
% 299.85/300.42  125949[5:Res:5288.2,5322.1] || subclass(omega,u) subclass(v,complement(u))* -> equal(integer_of(regular(v)),identity_relation) equal(v,identity_relation).
% 299.85/300.42  51994[5:Res:608.1,8090.0] || member(regular(regular(domain_of(u))),cantor(u))* -> equal(regular(domain_of(u)),identity_relation) equal(domain_of(u),identity_relation).
% 299.85/300.42  125966[5:Res:5288.2,5344.0] || subclass(omega,cantor(u)) -> equal(integer_of(regular(complement(domain_of(u)))),identity_relation)** equal(complement(domain_of(u)),identity_relation).
% 299.85/300.42  28787[5:SpR:5401.2,5593.0] || member(u,universal_class) -> member(u,domain_of(v)) equal(range__dfg(v,u,universal_class),range__dfg(identity_relation,w,x))*.
% 299.85/300.42  5315[5:Rew:5180.0,5120.1] || subclass(u,unordered_pair(v,w))* -> equal(u,identity_relation) equal(regular(u),w) equal(regular(u),v).
% 299.85/300.42  113712[5:Res:106230.1,5322.1] || subclass(u,complement(sum_class(singleton(regular(u)))))* -> equal(sum_class(singleton(regular(u))),identity_relation) equal(u,identity_relation).
% 299.85/300.42  114808[5:Res:5214.2,776.0] || subclass(u,cantor(v))* subclass(domain_of(v),w)* -> equal(u,identity_relation) member(regular(u),w)*.
% 299.85/300.42  116847[5:Res:5214.2,8157.0] || subclass(u,symmetric_difference(complement(v),complement(w)))* -> equal(u,identity_relation) member(regular(u),union(v,w)).
% 299.85/300.42  39419[5:Res:29628.0,5405.0] || member(regular(complement(complement(regular(u)))),u)* -> equal(complement(complement(regular(u))),identity_relation) equal(u,identity_relation).
% 299.85/300.42  125967[5:Res:5288.2,8090.0] || subclass(omega,u) -> equal(integer_of(regular(regular(u))),identity_relation)** equal(regular(u),identity_relation) equal(u,identity_relation).
% 299.85/300.42  164689[5:Rew:118447.0,153000.0] ||  -> equal(intersection(union(u,identity_relation),union(complement(u),symmetric_difference(universal_class,u))),symmetric_difference(complement(u),symmetric_difference(universal_class,u)))**.
% 299.85/300.42  22939[5:Rew:22446.0,22543.1] || subclass(union(u,identity_relation),symmetric_difference(complement(u),universal_class))* -> equal(symmetric_difference(complement(u),universal_class),union(u,identity_relation)).
% 299.85/300.42  118171[5:Rew:22914.0,118102.1] || member(not_subclass_element(universal_class,symmetric_difference(complement(u),universal_class)),union(u,identity_relation))* -> subclass(universal_class,symmetric_difference(complement(u),universal_class)).
% 299.85/300.42  123048[5:Rew:119684.0,50646.1,119684.0,50646.0] || subclass(symmetric_difference(universal_class,u),complement(union(u,identity_relation)))* -> equal(complement(union(u,identity_relation)),symmetric_difference(universal_class,u)).
% 299.85/300.42  37901[5:SpR:123.0,28844.1] || subclass(domain_relation,cantor(restrict(u,v,singleton(w)))) -> member(ordered_pair(identity_relation,identity_relation),segment(u,v,w))*.
% 299.85/300.42  39231[5:SpR:123.0,39213.1] || equal(cantor(restrict(u,v,singleton(w))),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),segment(u,v,w))*.
% 299.85/300.42  29260[5:SpL:938.0,6464.0] || subclass(domain_relation,symmetric_difference(u,cross_product(v,w))) -> member(ordered_pair(identity_relation,identity_relation),complement(restrict(u,v,w)))*.
% 299.85/300.42  39200[5:SpL:938.0,28860.0] || equal(symmetric_difference(u,cross_product(v,w)),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),complement(restrict(u,v,w)))*.
% 299.85/300.42  29412[5:SpL:939.0,6464.0] || subclass(domain_relation,symmetric_difference(cross_product(u,v),w)) -> member(ordered_pair(identity_relation,identity_relation),complement(restrict(w,u,v)))*.
% 299.85/300.42  39201[5:SpL:939.0,28860.0] || equal(symmetric_difference(cross_product(u,v),w),domain_relation) -> member(ordered_pair(identity_relation,identity_relation),complement(restrict(w,u,v)))*.
% 299.85/300.42  29489[0:MRR:28898.1,29469.1] || member(u,universal_class) member(v,u) subclass(element_relation,w) -> member(ordered_pair(v,u),w)*.
% 299.85/300.42  118140[5:Res:29487.1,34675.0] || member(not_subclass_element(u,intersection(compose(element_relation,universal_class),u)),element_relation)* -> subclass(u,intersection(compose(element_relation,universal_class),u)).
% 299.85/300.42  40722[0:Rew:39.0,40684.0] || member(flip(cross_product(u,universal_class)),inverse(u)) -> member(ordered_pair(flip(cross_product(u,universal_class)),inverse(u)),element_relation)*.
% 299.85/300.42  40723[0:Rew:54.0,40682.0] || member(restrict(element_relation,universal_class,u),sum_class(u)) -> member(ordered_pair(restrict(element_relation,universal_class,u),sum_class(u)),element_relation)*.
% 299.85/300.42  8400[0:Res:765.2,595.0] || member(u,universal_class) subclass(universal_class,restrict(v,w,x))* -> member(sum_class(u),cross_product(w,x))*.
% 299.85/300.42  47916[0:Res:765.2,8165.1] || member(u,universal_class) subclass(universal_class,intersection(v,w)) member(sum_class(u),symmetric_difference(v,w))* -> .
% 299.85/300.42  178555[14:SpL:930.0,178033.0] || subclass(omega,symmetric_difference(complement(intersection(u,v)),union(u,v)))* -> member(identity_relation,complement(symmetric_difference(u,v))).
% 299.85/300.42  178689[14:SpL:930.0,178572.0] || equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),omega)** -> member(identity_relation,complement(symmetric_difference(u,v))).
% 299.85/300.42  49049[0:Res:47940.0,8.0] || subclass(range_of(u),complement(complement(cantor(inverse(u)))))* -> equal(complement(complement(cantor(inverse(u)))),range_of(u)).
% 299.85/300.42  46099[0:Res:45849.0,8.0] || subclass(range_of(u),intersection(cantor(inverse(u)),v))* -> equal(intersection(cantor(inverse(u)),v),range_of(u)).
% 299.85/300.42  46142[0:Res:45938.0,8.0] || subclass(range_of(u),intersection(v,cantor(inverse(u))))* -> equal(intersection(v,cantor(inverse(u))),range_of(u)).
% 299.85/300.42  46856[3:Res:28041.2,610.0] inductive(cantor(inverse(u))) || well_ordering(v,universal_class) -> member(least(v,cantor(inverse(u))),range_of(u))*.
% 299.85/300.42  8313[0:Res:366.1,610.0] ||  -> subclass(intersection(cantor(inverse(u)),v),w) member(not_subclass_element(intersection(cantor(inverse(u)),v),w),range_of(u))*.
% 299.85/300.42  47657[0:Res:29726.0,610.0] ||  -> subclass(complement(complement(cantor(inverse(u)))),v) member(not_subclass_element(complement(complement(cantor(inverse(u)))),v),range_of(u))*.
% 299.85/300.42  87321[5:Res:86994.1,5197.1] || equal(image(successor_relation,range_of(u)),cantor(inverse(u)))** member(identity_relation,range_of(u)) -> inductive(range_of(u)).
% 299.85/300.42  160519[5:Res:150282.1,3524.1] || equal(range_of(u),universal_class) member(ordered_pair(v,w),compose(x,y))* -> member(w,range_of(u))*.
% 299.85/300.42  8063[5:Res:5404.2,610.0] || well_ordering(u,universal_class) -> equal(cantor(inverse(v)),identity_relation) member(least(u,cantor(inverse(v))),range_of(v))*.
% 299.85/300.42  8404[5:Res:8347.0,5259.0] || well_ordering(u,range_of(v)) -> equal(segment(u,cantor(inverse(v)),least(u,cantor(inverse(v)))),identity_relation)**.
% 299.85/300.42  20355[0:Res:780.2,610.0] || member(u,universal_class) subclass(rest_relation,cantor(inverse(v))) -> member(ordered_pair(u,rest_of(u)),range_of(v))*.
% 299.85/300.42  87006[0:Res:133.1,79033.0] || section(u,cantor(inverse(v)),w) -> subclass(domain_of(restrict(u,w,cantor(inverse(v)))),range_of(v))*.
% 299.85/300.42  8219[0:Res:356.1,610.0] ||  -> subclass(intersection(u,cantor(inverse(v))),w) member(not_subclass_element(intersection(u,cantor(inverse(v))),w),range_of(v))*.
% 299.85/300.42  116657[5:SpR:26049.0,27933.1] || member(u,universal_class) -> member(u,complement(symmetric_difference(range_of(v),universal_class)))* member(u,complement(cantor(inverse(v)))).
% 299.85/300.42  121897[5:SpR:26481.1,69.0] ||  -> equal(cross_product(singleton(u),universal_class),identity_relation) equal(apply(regular(cross_product(singleton(u),universal_class)),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.42  125982[0:SpR:120676.0,557.1] || member(inverse(cross_product(u,universal_class)),universal_class) -> member(ordered_pair(inverse(cross_product(u,universal_class)),image(universal_class,u)),domain_relation)*.
% 299.85/300.42  178265[12:SpL:120676.0,168537.2] || member(u,universal_class)* member(cross_product(v,universal_class),universal_class)* equal(sum_class(image(universal_class,v)),u)* -> .
% 299.85/300.42  123996[5:Res:49.1,5325.0] inductive(singleton(u)) ||  -> equal(image(successor_relation,singleton(u)),identity_relation) equal(regular(image(successor_relation,singleton(u))),u)**.
% 299.85/300.42  178499[14:SpL:579.0,178428.1] || equal(image(element_relation,union(u,v)),omega) equal(power_class(intersection(complement(u),complement(v))),omega)** -> .
% 299.85/300.42  126562[0:SpL:579.0,790.0] || subclass(universal_class,power_class(intersection(complement(u),complement(v))))* member(omega,image(element_relation,union(u,v))) -> .
% 299.85/300.42  9023[0:SpR:579.0,8614.0] ||  -> subclass(symmetric_difference(power_class(intersection(complement(u),complement(v))),complement(w)),union(image(element_relation,union(u,v)),w))*.
% 299.85/300.42  27176[5:SpL:579.0,27118.1] || subclass(domain_relation,image(element_relation,union(u,v))) subclass(domain_relation,power_class(intersection(complement(u),complement(v))))* -> .
% 299.85/300.42  126563[5:SpL:579.0,40248.1] || subclass(domain_relation,image(element_relation,union(u,v))) subclass(universal_class,power_class(intersection(complement(u),complement(v))))* -> .
% 299.85/300.42  27162[5:SpL:579.0,27099.1] || subclass(universal_class,image(element_relation,union(u,v))) subclass(domain_relation,power_class(intersection(complement(u),complement(v))))* -> .
% 299.85/300.42  8667[0:SpL:579.0,3615.1] || subclass(universal_class,image(element_relation,union(u,v))) subclass(universal_class,power_class(intersection(complement(u),complement(v))))* -> .
% 299.85/300.42  27293[5:SpL:579.0,27247.1] || equal(image(element_relation,union(u,v)),domain_relation) equal(power_class(intersection(complement(u),complement(v))),domain_relation)** -> .
% 299.85/300.43  27255[5:SpL:579.0,27188.1] || equal(image(element_relation,union(u,v)),universal_class) equal(power_class(intersection(complement(u),complement(v))),domain_relation)** -> .
% 299.85/300.43  126844[0:SpL:579.0,124986.1] || equal(image(element_relation,union(u,v)),universal_class) subclass(universal_class,power_class(intersection(complement(u),complement(v))))* -> .
% 299.85/300.43  178455[14:SpL:579.0,178300.1] || equal(image(element_relation,union(u,v)),universal_class) equal(power_class(intersection(complement(u),complement(v))),omega)** -> .
% 299.85/300.43  152844[0:SpL:579.0,152807.0] || well_ordering(universal_class,power_class(intersection(complement(u),complement(v))))* well_ordering(universal_class,image(element_relation,union(u,v))) -> .
% 299.85/300.43  8666[5:SpL:579.0,5195.0] || subclass(universal_class,power_class(intersection(complement(u),complement(v))))* member(identity_relation,image(element_relation,union(u,v))) -> .
% 299.85/300.43  178199[14:SpL:579.0,178030.0] || subclass(omega,power_class(intersection(complement(u),complement(v))))* member(identity_relation,image(element_relation,union(u,v))) -> .
% 299.85/300.43  9015[0:SpR:579.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),power_class(intersection(complement(v),complement(w)))),union(u,image(element_relation,union(v,w))))*.
% 299.85/300.43  35497[0:Obv:35487.1] || member(ordered_pair(u,v),compose(w,x)) -> subclass(singleton(v),image(w,image(x,singleton(u))))*.
% 299.85/300.43  32697[5:MRR:32696.0,12.0] ||  -> equal(apply(choice,unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation) member(u,unordered_pair(u,v))*.
% 299.85/300.43  32699[5:MRR:32698.0,12.0] ||  -> equal(apply(choice,unordered_pair(u,v)),u)** equal(unordered_pair(u,v),identity_relation) member(v,unordered_pair(u,v))*.
% 299.85/300.43  113993[5:Rew:5601.1,113992.1] || member(regular(u),intersection(singleton(u),v))* -> equal(u,identity_relation) equal(intersection(singleton(u),v),identity_relation).
% 299.85/300.43  114216[5:Rew:5576.1,114215.1] || member(regular(u),intersection(v,singleton(u)))* -> equal(u,identity_relation) equal(intersection(v,singleton(u)),identity_relation).
% 299.85/300.43  160517[5:Res:146436.1,3524.1] || equal(inverse(u),universal_class) member(ordered_pair(v,w),compose(x,y))* -> member(w,inverse(u))*.
% 299.85/300.43  163517[5:Res:162500.1,3524.1] || equal(complement(u),universal_class) member(ordered_pair(v,w),compose(x,y))* -> member(w,complement(u))*.
% 299.85/300.43  163649[5:Res:163531.1,3524.1] || equal(power_class(u),universal_class) member(ordered_pair(v,w),compose(x,y))* -> member(w,power_class(u))*.
% 299.85/300.43  160516[5:Res:146432.1,3524.1] || equal(sum_class(u),universal_class) member(ordered_pair(v,w),compose(x,y))* -> member(w,sum_class(u))*.
% 299.85/300.43  168314[5:Res:5404.2,119659.0] || well_ordering(u,universal_class) member(least(u,symmetric_difference(universal_class,v)),v)* -> equal(symmetric_difference(universal_class,v),identity_relation).
% 299.85/300.43  168315[5:Res:5404.2,119626.0] || well_ordering(u,universal_class) -> equal(symmetric_difference(universal_class,v),identity_relation) member(least(u,symmetric_difference(universal_class,v)),complement(v))*.
% 299.85/300.43  123156[5:Rew:122359.0,123155.1] || well_ordering(u,universal_class) member(least(u,complement(v)),complement(complement(v)))* -> equal(complement(v),identity_relation).
% 299.85/300.43  50822[0:Res:8771.1,23342.0] || well_ordering(u,universal_class) subclass(rest_relation,successor_relation) -> equal(rest_of(least(u,universal_class)),successor(least(u,universal_class)))**.
% 299.85/300.43  123736[5:Res:119596.0,5259.0] || well_ordering(u,complement(v)) -> equal(segment(u,symmetric_difference(universal_class,v),least(u,symmetric_difference(universal_class,v))),identity_relation)**.
% 299.85/300.43  91415[0:SpL:2089.1,86931.0] || equal(u,not_subclass_element(cross_product(v,w),x))* well_ordering(universal_class,u)* -> subclass(cross_product(v,w),x).
% 299.85/300.43  91385[0:SpL:2089.1,46366.0] || subclass(not_subclass_element(cross_product(u,v),w),x)* well_ordering(universal_class,x) -> subclass(cross_product(u,v),w).
% 299.85/300.43  179644[5:SpR:5445.1,160697.0] || well_ordering(universal_class,cross_product(universal_class,universal_class)) -> subclass(cantor(cross_product(compose_class(u),singleton(least(universal_class,compose_class(u))))),identity_relation)*.
% 299.85/300.43  179657[5:SpR:5444.1,160697.0] || well_ordering(universal_class,cross_product(universal_class,universal_class)) -> subclass(cantor(cross_product(rest_of(u),singleton(least(universal_class,rest_of(u))))),identity_relation)*.
% 299.85/300.43  152791[0:Res:122840.1,9.0] || well_ordering(universal_class,complement(unordered_pair(u,v)))* -> equal(singleton(singleton(w)),v)* equal(singleton(singleton(w)),u)*.
% 299.85/300.43  28299[0:Res:63.1,3691.0] function(u) || well_ordering(v,cross_product(universal_class,universal_class))* -> subclass(u,w)* member(least(v,u),u)*.
% 299.85/300.43  35555[0:Res:5.0,3700.1] || member(u,universal_class) well_ordering(v,universal_class) -> member(least(v,unordered_pair(w,u)),unordered_pair(w,u))*.
% 299.85/300.43  36047[0:Res:5.0,3701.1] || member(u,universal_class) well_ordering(v,universal_class) -> member(least(v,unordered_pair(u,w)),unordered_pair(u,w))*.
% 299.85/300.43  124679[5:Rew:5528.2,124671.3] inductive(singleton(u)) || well_ordering(v,omega) -> equal(integer_of(u),identity_relation)** member(least(v,omega),omega)*.
% 299.85/300.43  3694[0:Res:763.1,126.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  6461[5:Res:5615.1,126.0] || subclass(domain_relation,u) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  124107[5:Res:119647.1,126.0] || equal(u,universal_class) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  162467[0:Res:122671.0,126.0] || subclass(u,v)* well_ordering(w,v)* -> subclass(x,complement(u))* member(least(w,u),u)*.
% 299.85/300.43  178026[14:Res:178018.1,126.0] || subclass(omega,u) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  178707[14:Res:178680.1,126.0] || equal(u,omega) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  166771[5:Res:153612.1,5259.0] || equal(complement(u),universal_class) well_ordering(v,w)* -> equal(segment(v,u,least(v,u)),identity_relation)**.
% 299.85/300.43  153873[5:Res:153612.1,989.1] || equal(complement(u),universal_class) connected(v,u) -> well_ordering(v,u) equal(not_well_ordering(v,u),u)**.
% 299.85/300.43  189532[7:Rew:189431.0,165743.0] ||  -> equal(complement(intersection(union(complement(singleton(identity_relation)),u),complement(v))),union(intersection(singleton(identity_relation),complement(u)),v))**.
% 299.85/300.43  189535[7:Rew:189431.0,165762.0] ||  -> equal(complement(intersection(union(u,complement(singleton(identity_relation))),complement(v))),union(intersection(complement(u),singleton(identity_relation)),v))**.
% 299.85/300.43  189548[7:Rew:189431.0,165771.0] ||  -> equal(complement(intersection(complement(u),union(v,complement(singleton(identity_relation))))),union(u,intersection(complement(v),singleton(identity_relation))))**.
% 299.85/300.43  189551[7:Rew:189431.0,165767.0] ||  -> equal(complement(intersection(complement(u),union(complement(singleton(identity_relation)),v))),union(u,intersection(singleton(identity_relation),complement(v))))**.
% 299.85/300.43  189553[7:Rew:189431.0,124293.0] ||  -> equal(intersection(union(u,complement(singleton(identity_relation))),union(complement(u),singleton(identity_relation))),symmetric_difference(complement(u),singleton(identity_relation)))**.
% 299.85/300.43  189554[7:Rew:189431.0,124286.0] ||  -> equal(intersection(union(complement(singleton(identity_relation)),u),union(singleton(identity_relation),complement(u))),symmetric_difference(singleton(identity_relation),complement(u)))**.
% 299.85/300.43  189555[7:Rew:189431.0,124304.1] || member(u,universal_class) subclass(singleton(identity_relation),v)* -> member(u,complement(singleton(identity_relation)))* member(u,v)*.
% 299.85/300.43  189625[7:Rew:189431.0,179208.0] || member(regular(power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation)))* -> equal(power_class(complement(singleton(identity_relation))),identity_relation).
% 299.85/300.43  189626[7:Rew:189431.0,179206.0] ||  -> member(not_subclass_element(u,power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation)))* subclass(u,power_class(complement(singleton(identity_relation)))).
% 299.85/300.43  189627[7:Rew:189431.0,179127.0] ||  -> subclass(symmetric_difference(power_class(complement(singleton(identity_relation))),complement(inverse(image(element_relation,singleton(identity_relation))))),symmetrization_of(image(element_relation,singleton(identity_relation))))*.
% 299.85/300.43  189629[7:Rew:189431.0,179115.0] ||  -> subclass(symmetric_difference(power_class(complement(singleton(identity_relation))),complement(singleton(image(element_relation,singleton(identity_relation))))),successor(image(element_relation,singleton(identity_relation))))*.
% 299.85/300.43  191168[7:SpL:579.0,189304.1] inductive(image(element_relation,union(u,v))) || equal(power_class(intersection(complement(u),complement(v))),singleton(identity_relation))** -> .
% 299.85/300.43  191879[15:SpR:191663.0,59.1] || member(ordered_pair(sum_class(range_of(identity_relation)),u),compose(v,w))* -> member(u,image(v,image(w,identity_relation))).
% 299.85/300.43  192081[15:SpL:191735.0,37.0] || member(ordered_pair(singleton(singleton(identity_relation)),u),flip(v)) -> member(ordered_pair(ordered_pair(range_of(identity_relation),identity_relation),u),v)*.
% 299.85/300.43  192082[15:SpL:191735.0,34.0] || member(ordered_pair(singleton(singleton(identity_relation)),u),rotate(v)) -> member(ordered_pair(ordered_pair(range_of(identity_relation),u),identity_relation),v)*.
% 299.85/300.43  192478[12:SpL:192336.1,5244.1] || member(u,universal_class) member(range_of(u),domain_of(v))* equal(restrict(v,identity_relation,universal_class),identity_relation) -> .
% 299.85/300.43  192769[17:MRR:192762.2,5188.0] || member(identity_relation,domain_of(u)) member(ordered_pair(u,singleton(singleton(identity_relation))),cross_product(universal_class,cross_product(universal_class,universal_class)))* -> .
% 299.85/300.43  193158[5:Rew:6805.0,193150.2,6805.0,193150.1,6805.0,193150.0] || member(power_class(universal_class),universal_class) -> subclass(singleton(apply(choice,power_class(universal_class))),power_class(universal_class))* equal(power_class(universal_class),identity_relation).
% 299.85/300.43  193593[7:Res:193579.0,8.0] || subclass(singleton(identity_relation),singleton(apply(choice,singleton(identity_relation))))* -> equal(singleton(apply(choice,singleton(identity_relation))),singleton(identity_relation)).
% 299.85/300.43  194029[15:SpR:579.0,194012.1] ||  -> member(singleton(identity_relation),image(element_relation,union(u,v))) member(singleton(identity_relation),power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.43  194154[15:Res:192110.1,588.0] || equal(intersection(complement(u),complement(v)),singleton(singleton(identity_relation))) member(singleton(identity_relation),union(u,v))* -> .
% 299.85/300.43  195069[5:Rew:120682.0,195045.0] ||  -> equal(segment(universal_class,u,v),identity_relation) member(regular(segment(universal_class,u,v)),cantor(cross_product(u,singleton(v))))*.
% 299.85/300.43  195187[17:Rew:195144.1,27434.2] || member(u,universal_class) subclass(domain_relation,complement(compose(element_relation,universal_class)))* member(ordered_pair(u,identity_relation),element_relation)* -> .
% 299.85/300.43  195210[17:Rew:195144.1,149221.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,singleton(v)))* -> member(ordered_pair(u,identity_relation),successor(v))*.
% 299.85/300.43  197274[17:SpL:196425.0,5244.1] || member(inverse(u),domain_of(v))* equal(restrict(v,identity_relation,universal_class),identity_relation) -> equal(range_of(u),identity_relation).
% 299.85/300.43  198053[17:Res:195614.1,588.0] || subclass(domain_relation,intersection(complement(u),complement(v))) member(singleton(singleton(singleton(identity_relation))),union(u,v))* -> .
% 299.85/300.43  198661[5:Obv:198659.1] || equal(complement(singleton(u)),universal_class) -> equal(regular(unordered_pair(v,u)),v)** equal(unordered_pair(v,u),identity_relation).
% 299.85/300.43  198662[5:Obv:198658.1] || equal(complement(singleton(u)),universal_class) -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.43  199293[15:SpL:579.0,199274.0] || well_ordering(universal_class,power_class(intersection(complement(u),complement(v))))* -> member(singleton(identity_relation),image(element_relation,union(u,v))).
% 299.85/300.43  200072[17:SSi:200068.0,70.0] || equal(rest_of(u),rest_relation) -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v)**.
% 299.85/300.43  200073[17:SSi:200067.0,70.0] || equal(rest_of(u),rest_relation) -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)**.
% 299.85/300.43  200844[5:SpL:200704.1,331.0] || equal(u,universal_class) member(image(v,identity_relation),universal_class) -> inductive(u) member(apply(v,u),universal_class)*.
% 299.85/300.43  200957[5:Rew:200704.1,200750.1] || equal(u,universal_class) section(v,identity_relation,w) -> inductive(u) subclass(segment(v,w,u),identity_relation)*.
% 299.85/300.43  200964[5:MRR:200963.1,5184.0] || equal(u,universal_class) subclass(segment(v,w,u),identity_relation)* -> inductive(u) section(v,identity_relation,w).
% 299.85/300.43  201299[17:Obv:201296.1] || equal(rest_of(u),rest_relation) -> equal(not_subclass_element(unordered_pair(v,u),w),v)** subclass(unordered_pair(v,u),w).
% 299.85/300.43  201300[17:Obv:201295.1] || equal(rest_of(u),rest_relation) -> equal(not_subclass_element(unordered_pair(u,v),w),v)** subclass(unordered_pair(u,v),w).
% 299.85/300.43  201398[0:Res:146221.1,8.0] || subclass(u,v) subclass(complement(u),symmetric_difference(v,u))* -> equal(symmetric_difference(v,u),complement(u)).
% 299.85/300.43  203339[5:Rew:119684.0,202903.1] || equal(identity_relation,u) -> equal(complement(intersection(union(v,u),complement(w))),union(symmetric_difference(universal_class,v),w))**.
% 299.85/300.43  203342[5:Rew:119684.0,202924.1] || equal(identity_relation,u) -> equal(complement(intersection(complement(v),union(w,u))),union(v,symmetric_difference(universal_class,w)))**.
% 299.85/300.43  204351[5:Res:2603.2,203257.1] || member(u,cross_product(v,w))* member(u,x)* equal(restrict(x,v,w),identity_relation)** -> .
% 299.85/300.43  204401[5:Res:59.1,203257.1] || member(ordered_pair(u,v),compose(w,x))* equal(image(w,image(x,singleton(u))),identity_relation) -> .
% 299.85/300.43  204641[5:SpR:201811.1,122857.0] || subclass(intersection(singleton(identity_relation),image(successor_relation,universal_class)),identity_relation)* -> equal(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),universal_class).
% 299.85/300.43  204757[5:Res:689.1,204710.1] || member(u,universal_class) subclass(intersection(complement(v),complement(w)),identity_relation)* -> member(u,union(v,w))*.
% 299.85/300.43  204766[5:Res:2603.2,204710.1] || member(u,cross_product(v,w))* member(u,x)* subclass(restrict(x,v,w),identity_relation)* -> .
% 299.85/300.43  204784[5:Res:3743.3,204710.1] || member(u,universal_class)* member(v,universal_class)* equal(successor(v),u)* subclass(successor_relation,identity_relation) -> .
% 299.85/300.43  204816[5:Res:59.1,204710.1] || member(ordered_pair(u,v),compose(w,x))* subclass(image(w,image(x,singleton(u))),identity_relation)* -> .
% 299.85/300.43  204866[5:Res:3564.3,204710.1] || connected(u,v) well_ordering(w,v)* subclass(not_well_ordering(u,v),identity_relation)* -> well_ordering(u,v).
% 299.85/300.43  205148[5:Res:205135.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,universal_class))),identity_relation)**.
% 299.85/300.43  206377[5:Res:201827.1,18.0] || subclass(complement(cross_product(u,v)),identity_relation)* -> equal(ordered_pair(first(singleton(w)),second(singleton(w))),singleton(w))**.
% 299.85/300.43  206576[5:SpL:579.0,206410.0] || subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* well_ordering(universal_class,image(element_relation,union(u,v))) -> .
% 299.85/300.43  206841[5:SpR:204330.1,930.0] || equal(complement(symmetric_difference(u,v)),identity_relation) -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),identity_relation)**.
% 299.85/300.43  207222[5:SpR:204745.1,930.0] || subclass(complement(symmetric_difference(u,v)),identity_relation) -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),identity_relation)**.
% 299.85/300.43  209187[15:Rew:208959.1,208995.2] function(domain_of(u)) function(v) || equal(domain_of(domain_of(w)),universal_class) -> compatible(v,w,u)*.
% 299.85/300.43  210056[17:Rew:209320.1,209798.1] function(u) || asymmetric(v,identity_relation) -> equal(domain__dfg(intersection(v,inverse(v)),identity_relation,u),single_valued3(identity_relation))**.
% 299.85/300.43  210727[17:Res:195177.2,8834.0] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,inverse(v)))* -> member(ordered_pair(u,identity_relation),symmetrization_of(v))*.
% 299.85/300.43  210729[0:Res:122671.0,8834.0] ||  -> subclass(u,complement(symmetric_difference(v,inverse(v)))) member(not_subclass_element(u,complement(symmetric_difference(v,inverse(v)))),symmetrization_of(v))*.
% 299.85/300.43  210916[17:SoR:209446.0,4792.2] single_valued_class(least(u,rest_relation)) || well_ordering(u,universal_class) equal(least(u,rest_relation),cross_product(universal_class,universal_class))** -> .
% 299.85/300.43  210919[17:SoR:209447.0,4792.2] single_valued_class(least(u,rest_relation)) || well_ordering(u,rest_relation) equal(least(u,rest_relation),cross_product(universal_class,universal_class))** -> .
% 299.85/300.43  210922[17:SoR:209448.0,4792.2] single_valued_class(least(u,universal_class)) || well_ordering(u,universal_class) equal(least(u,universal_class),cross_product(universal_class,universal_class))** -> .
% 299.85/300.43  211031[5:SpR:145868.1,22829.0] || subclass(complement(image(successor_relation,universal_class)),complement(singleton(identity_relation)))* -> equal(power_class(complement(image(successor_relation,universal_class))),power_class(identity_relation)).
% 299.85/300.43  178997[5:SpR:122494.0,9005.0] ||  -> subclass(symmetric_difference(power_class(complement(inverse(identity_relation))),complement(singleton(image(element_relation,symmetrization_of(identity_relation))))),successor(image(element_relation,symmetrization_of(identity_relation))))*.
% 299.85/300.43  179009[5:SpR:122494.0,9004.0] ||  -> subclass(symmetric_difference(power_class(complement(inverse(identity_relation))),complement(inverse(image(element_relation,symmetrization_of(identity_relation))))),symmetrization_of(image(element_relation,symmetrization_of(identity_relation))))*.
% 299.85/300.43  179088[5:Rew:122494.0,179031.1] ||  -> member(not_subclass_element(u,power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation)))* subclass(u,power_class(complement(inverse(identity_relation)))).
% 299.85/300.43  179090[5:Rew:122494.0,179065.1] || member(regular(power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation)))* -> equal(power_class(complement(inverse(identity_relation))),identity_relation).
% 299.85/300.43  124240[5:SpL:124149.0,773.1] || member(u,universal_class) subclass(symmetrization_of(identity_relation),v)* -> member(u,complement(inverse(identity_relation)))* member(u,v)*.
% 299.85/300.43  124229[5:SpR:124149.0,941.0] ||  -> equal(intersection(union(u,complement(inverse(identity_relation))),union(complement(u),symmetrization_of(identity_relation))),symmetric_difference(complement(u),symmetrization_of(identity_relation)))**.
% 299.85/300.43  124222[5:SpR:124149.0,941.0] ||  -> equal(intersection(union(complement(inverse(identity_relation)),u),union(symmetrization_of(identity_relation),complement(u))),symmetric_difference(symmetrization_of(identity_relation),complement(u)))**.
% 299.85/300.43  165862[5:SpR:124149.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,complement(inverse(identity_relation))))),union(u,intersection(complement(v),symmetrization_of(identity_relation))))**.
% 299.85/300.43  165858[5:SpR:124149.0,581.0] ||  -> equal(complement(intersection(complement(u),union(complement(inverse(identity_relation)),v))),union(u,intersection(symmetrization_of(identity_relation),complement(v))))**.
% 299.85/300.43  165834[5:SpR:124149.0,580.0] ||  -> equal(complement(intersection(union(complement(inverse(identity_relation)),u),complement(v))),union(intersection(symmetrization_of(identity_relation),complement(u)),v))**.
% 299.85/300.43  165853[5:SpR:124149.0,580.0] ||  -> equal(complement(intersection(union(u,complement(inverse(identity_relation))),complement(v))),union(intersection(complement(u),symmetrization_of(identity_relation)),v))**.
% 299.85/300.43  212555[0:SpL:27.0,7539.0] || subclass(universal_class,image(element_relation,union(u,v))) member(omega,power_class(intersection(complement(u),complement(v))))* -> .
% 299.85/300.43  213092[17:Res:66.2,195221.0] function(u) || member(v,universal_class) subclass(rest_relation,domain_relation) -> equal(rest_of(image(u,v)),identity_relation)**.
% 299.85/300.43  213152[17:MRR:213126.1,5.0] || member(u,universal_class) subclass(rest_relation,domain_relation) -> equal(u,identity_relation) equal(rest_of(apply(choice,u)),identity_relation)**.
% 299.85/300.43  213268[17:Res:66.2,195222.0] function(u) || member(v,universal_class) subclass(domain_relation,rest_relation) -> equal(rest_of(image(u,v)),identity_relation)**.
% 299.85/300.43  213328[17:MRR:213302.1,5.0] || member(u,universal_class) subclass(domain_relation,rest_relation) -> equal(u,identity_relation) equal(rest_of(apply(choice,u)),identity_relation)**.
% 299.85/300.43  213810[5:SpR:200704.1,7513.0] || equal(u,universal_class) -> inductive(u) equal(integer_of(image(v,identity_relation)),identity_relation) member(apply(v,u),universal_class)*.
% 299.85/300.43  213859[17:Res:195387.1,8165.1] || subclass(domain_relation,rotate(intersection(u,v))) member(ordered_pair(ordered_pair(w,identity_relation),x),symmetric_difference(u,v))* -> .
% 299.85/300.43  213872[17:Res:195387.1,158.0] || subclass(domain_relation,rotate(omega)) -> equal(integer_of(ordered_pair(ordered_pair(u,identity_relation),v)),ordered_pair(ordered_pair(u,identity_relation),v))**.
% 299.85/300.43  213881[17:Res:195387.1,595.0] || subclass(domain_relation,rotate(restrict(u,v,w)))* -> member(ordered_pair(ordered_pair(x,identity_relation),y),cross_product(v,w))*.
% 299.85/300.43  213885[17:Res:195387.1,5405.0] || subclass(domain_relation,rotate(regular(u))) member(ordered_pair(ordered_pair(v,identity_relation),w),u)* -> equal(u,identity_relation).
% 299.85/300.43  213910[17:Res:195387.1,3525.0] || subclass(domain_relation,rotate(compose(u,v))) -> subclass(w,image(u,image(v,singleton(ordered_pair(x,identity_relation)))))*.
% 299.85/300.43  213961[17:Res:195388.1,8165.1] || subclass(domain_relation,flip(intersection(u,v))) member(ordered_pair(ordered_pair(w,x),identity_relation),symmetric_difference(u,v))* -> .
% 299.85/300.43  213974[17:Res:195388.1,158.0] || subclass(domain_relation,flip(omega)) -> equal(integer_of(ordered_pair(ordered_pair(u,v),identity_relation)),ordered_pair(ordered_pair(u,v),identity_relation))**.
% 299.85/300.43  213983[17:Res:195388.1,595.0] || subclass(domain_relation,flip(restrict(u,v,w)))* -> member(ordered_pair(ordered_pair(x,y),identity_relation),cross_product(v,w))*.
% 299.85/300.43  213987[17:Res:195388.1,5405.0] || subclass(domain_relation,flip(regular(u))) member(ordered_pair(ordered_pair(v,w),identity_relation),u)* -> equal(u,identity_relation).
% 299.85/300.43  214258[0:Res:29726.0,158.0] ||  -> subclass(complement(complement(omega)),u) equal(integer_of(not_subclass_element(complement(complement(omega)),u)),not_subclass_element(complement(complement(omega)),u))**.
% 299.85/300.43  214464[5:SpL:200704.1,801.0] || equal(u,universal_class) member(singleton(singleton(identity_relation)),cross_product(v,w))* -> inductive(u) member(u,w)*.
% 299.85/300.43  214468[12:SpL:191620.1,801.0] || member(u,universal_class) member(singleton(singleton(identity_relation)),cross_product(v,w))* -> member(sum_class(range_of(u)),w)*.
% 299.85/300.43  214940[3:Res:28041.2,119659.0] inductive(symmetric_difference(universal_class,u)) || well_ordering(v,universal_class) member(least(v,symmetric_difference(universal_class,u)),u)* -> .
% 299.85/300.43  214941[3:Res:28041.2,119626.0] inductive(symmetric_difference(universal_class,u)) || well_ordering(v,universal_class) -> member(least(v,symmetric_difference(universal_class,u)),complement(u))*.
% 299.85/300.43  215032[5:SpR:200704.1,783.1] || equal(u,universal_class) subclass(ordered_pair(v,u),w)* -> inductive(u) member(unordered_pair(v,identity_relation),w)*.
% 299.85/300.43  216203[0:Res:53064.1,23342.0] || well_ordering(u,rest_relation) subclass(rest_relation,successor_relation) -> equal(rest_of(least(u,rest_relation)),successor(least(u,rest_relation)))**.
% 299.85/300.43  216204[0:Res:53058.1,23342.0] || well_ordering(u,universal_class) subclass(rest_relation,successor_relation) -> equal(rest_of(least(u,rest_relation)),successor(least(u,rest_relation)))**.
% 299.85/300.43  216516[17:SpR:8659.0,195299.1] || member(intersection(complement(u),complement(inverse(u))),universal_class)* -> equal(domain_of(complement(image(element_relation,symmetrization_of(u)))),identity_relation).
% 299.85/300.43  216518[17:SpR:8659.0,196072.1] || member(intersection(complement(u),complement(inverse(u))),universal_class)* -> equal(cantor(complement(image(element_relation,symmetrization_of(u)))),identity_relation).
% 299.85/300.43  216519[5:SpR:8659.0,203228.1] || equal(intersection(complement(u),complement(inverse(u))),identity_relation)** -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(identity_relation)).
% 299.85/300.43  216524[7:SpR:189445.0,8659.0] ||  -> equal(power_class(intersection(singleton(identity_relation),complement(inverse(complement(singleton(identity_relation)))))),complement(image(element_relation,symmetrization_of(complement(singleton(identity_relation))))))**.
% 299.85/300.43  216525[5:SpR:124149.0,8659.0] ||  -> equal(power_class(intersection(symmetrization_of(identity_relation),complement(inverse(complement(inverse(identity_relation)))))),complement(image(element_relation,symmetrization_of(complement(inverse(identity_relation))))))**.
% 299.85/300.43  216550[0:SpR:145868.1,8659.0] || subclass(complement(inverse(u)),complement(u))* -> equal(complement(image(element_relation,symmetrization_of(u))),power_class(complement(inverse(u)))).
% 299.85/300.43  216638[17:SpR:8660.0,195299.1] || member(intersection(complement(u),complement(singleton(u))),universal_class)* -> equal(domain_of(complement(image(element_relation,successor(u)))),identity_relation).
% 299.85/300.43  216640[17:SpR:8660.0,196072.1] || member(intersection(complement(u),complement(singleton(u))),universal_class)* -> equal(cantor(complement(image(element_relation,successor(u)))),identity_relation).
% 299.85/300.43  216641[5:SpR:8660.0,203228.1] || equal(intersection(complement(u),complement(singleton(u))),identity_relation)** -> equal(complement(image(element_relation,successor(u))),power_class(identity_relation)).
% 299.85/300.43  216653[7:SpR:189445.0,8660.0] ||  -> equal(power_class(intersection(singleton(identity_relation),complement(singleton(complement(singleton(identity_relation)))))),complement(image(element_relation,successor(complement(singleton(identity_relation))))))**.
% 299.85/300.43  216654[5:SpR:124149.0,8660.0] ||  -> equal(power_class(intersection(symmetrization_of(identity_relation),complement(singleton(complement(inverse(identity_relation)))))),complement(image(element_relation,successor(complement(inverse(identity_relation))))))**.
% 299.85/300.43  216679[0:SpR:145868.1,8660.0] || subclass(complement(singleton(u)),complement(u))* -> equal(complement(image(element_relation,successor(u))),power_class(complement(singleton(u)))).
% 299.85/300.43  216754[7:Rew:22454.0,216745.1] || member(identity_relation,intersection(complement(u),complement(v))) subclass(complement(intersection(union(u,v),universal_class)),identity_relation)* -> .
% 299.85/300.43  217452[5:Rew:22454.0,217444.0] || equal(complement(intersection(union(u,v),universal_class)),identity_relation) member(identity_relation,intersection(complement(u),complement(v)))* -> .
% 299.85/300.43  217540[5:Rew:22454.0,217532.0] || equal(complement(intersection(union(u,v),universal_class)),identity_relation) member(omega,intersection(complement(u),complement(v)))* -> .
% 299.85/300.43  217593[5:SpR:122711.0,8614.0] ||  -> subclass(symmetric_difference(union(u,symmetric_difference(universal_class,v)),complement(w)),union(intersection(complement(u),union(v,identity_relation)),w))*.
% 299.85/300.43  217629[15:SpR:122711.0,194012.1] ||  -> member(singleton(identity_relation),intersection(complement(u),union(v,identity_relation)))* member(singleton(identity_relation),union(u,symmetric_difference(universal_class,v))).
% 299.85/300.43  217636[5:SpR:122711.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),union(v,symmetric_difference(universal_class,w))),union(u,intersection(complement(v),union(w,identity_relation))))*.
% 299.85/300.43  217692[5:SpR:145868.1,122711.0] || subclass(union(u,identity_relation),complement(v))* -> equal(union(v,symmetric_difference(universal_class,u)),complement(union(u,identity_relation))).
% 299.85/300.43  217695[5:SpL:122711.0,5195.0] || subclass(universal_class,union(u,symmetric_difference(universal_class,v))) member(identity_relation,intersection(complement(u),union(v,identity_relation)))* -> .
% 299.85/300.43  217697[5:SpL:122711.0,124986.1] || equal(intersection(complement(u),union(v,identity_relation)),universal_class) subclass(universal_class,union(u,symmetric_difference(universal_class,v)))* -> .
% 299.85/300.43  217698[5:SpL:122711.0,3615.1] || subclass(universal_class,intersection(complement(u),union(v,identity_relation)))* subclass(universal_class,union(u,symmetric_difference(universal_class,v))) -> .
% 299.85/300.43  217699[5:SpL:122711.0,790.0] || subclass(universal_class,union(u,symmetric_difference(universal_class,v))) member(omega,intersection(complement(u),union(v,identity_relation)))* -> .
% 299.85/300.43  217700[5:SpL:122711.0,40248.1] || subclass(domain_relation,intersection(complement(u),union(v,identity_relation)))* subclass(universal_class,union(u,symmetric_difference(universal_class,v))) -> .
% 299.85/300.43  217708[5:SpL:122711.0,27099.1] || subclass(universal_class,intersection(complement(u),union(v,identity_relation)))* subclass(domain_relation,union(u,symmetric_difference(universal_class,v))) -> .
% 299.85/300.43  217709[5:SpL:122711.0,27118.1] || subclass(domain_relation,intersection(complement(u),union(v,identity_relation)))* subclass(domain_relation,union(u,symmetric_difference(universal_class,v))) -> .
% 299.85/300.43  217711[5:SpL:122711.0,27188.1] || equal(intersection(complement(u),union(v,identity_relation)),universal_class)** equal(union(u,symmetric_difference(universal_class,v)),domain_relation) -> .
% 299.85/300.43  217712[5:SpL:122711.0,27247.1] || equal(intersection(complement(u),union(v,identity_relation)),domain_relation)** equal(union(u,symmetric_difference(universal_class,v)),domain_relation) -> .
% 299.85/300.43  217714[5:SpL:122711.0,5193.0] || equal(complement(union(u,symmetric_difference(universal_class,v))),universal_class) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  217715[5:SpL:122711.0,889.0] || equal(complement(union(u,symmetric_difference(universal_class,v))),universal_class) -> member(omega,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  217717[14:SpL:122711.0,178304.0] || equal(complement(union(u,symmetric_difference(universal_class,v))),omega) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  217733[14:SpL:122711.0,178030.0] || subclass(omega,union(u,symmetric_difference(universal_class,v))) member(identity_relation,intersection(complement(u),union(v,identity_relation)))* -> .
% 299.85/300.43  217735[14:SpL:122711.0,178428.1] || equal(intersection(complement(u),union(v,identity_relation)),omega)** equal(union(u,symmetric_difference(universal_class,v)),omega) -> .
% 299.85/300.43  217736[14:SpL:122711.0,178300.1] || equal(intersection(complement(u),union(v,identity_relation)),universal_class)** equal(union(u,symmetric_difference(universal_class,v)),omega) -> .
% 299.85/300.43  217740[15:SpL:122711.0,199274.0] || well_ordering(universal_class,union(u,symmetric_difference(universal_class,v))) -> member(singleton(identity_relation),intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  217741[5:SpL:122711.0,152807.0] || well_ordering(universal_class,union(u,symmetric_difference(universal_class,v))) well_ordering(universal_class,intersection(complement(u),union(v,identity_relation)))* -> .
% 299.85/300.43  217745[7:SpL:122711.0,189304.1] inductive(intersection(complement(u),union(v,identity_relation))) || equal(union(u,symmetric_difference(universal_class,v)),singleton(identity_relation))** -> .
% 299.85/300.43  217748[5:SpL:122711.0,206410.0] || subclass(union(u,symmetric_difference(universal_class,v)),identity_relation) well_ordering(universal_class,intersection(complement(u),union(v,identity_relation)))* -> .
% 299.85/300.43  218085[5:Res:24.2,205293.1] || member(power_class(identity_relation),u) member(power_class(identity_relation),v) subclass(universal_class,complement(intersection(v,u)))* -> .
% 299.85/300.43  218190[5:SpR:122708.0,8614.0] ||  -> subclass(symmetric_difference(union(symmetric_difference(universal_class,u),v),complement(w)),union(intersection(union(u,identity_relation),complement(v)),w))*.
% 299.85/300.43  218226[15:SpR:122708.0,194012.1] ||  -> member(singleton(identity_relation),intersection(union(u,identity_relation),complement(v)))* member(singleton(identity_relation),union(symmetric_difference(universal_class,u),v)).
% 299.85/300.43  218233[5:SpR:122708.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),union(symmetric_difference(universal_class,v),w)),union(u,intersection(union(v,identity_relation),complement(w))))*.
% 299.85/300.43  218292[5:SpL:122708.0,5195.0] || subclass(universal_class,union(symmetric_difference(universal_class,u),v)) member(identity_relation,intersection(union(u,identity_relation),complement(v)))* -> .
% 299.85/300.43  218294[5:SpL:122708.0,124986.1] || equal(intersection(union(u,identity_relation),complement(v)),universal_class) subclass(universal_class,union(symmetric_difference(universal_class,u),v))* -> .
% 299.85/300.43  218295[5:SpL:122708.0,3615.1] || subclass(universal_class,intersection(union(u,identity_relation),complement(v)))* subclass(universal_class,union(symmetric_difference(universal_class,u),v)) -> .
% 299.85/300.43  218296[5:SpL:122708.0,790.0] || subclass(universal_class,union(symmetric_difference(universal_class,u),v)) member(omega,intersection(union(u,identity_relation),complement(v)))* -> .
% 299.85/300.43  218297[5:SpL:122708.0,40248.1] || subclass(domain_relation,intersection(union(u,identity_relation),complement(v)))* subclass(universal_class,union(symmetric_difference(universal_class,u),v)) -> .
% 299.85/300.43  218305[5:SpL:122708.0,27099.1] || subclass(universal_class,intersection(union(u,identity_relation),complement(v)))* subclass(domain_relation,union(symmetric_difference(universal_class,u),v)) -> .
% 299.85/300.43  218306[5:SpL:122708.0,27118.1] || subclass(domain_relation,intersection(union(u,identity_relation),complement(v)))* subclass(domain_relation,union(symmetric_difference(universal_class,u),v)) -> .
% 299.85/300.43  218308[5:SpL:122708.0,27188.1] || equal(intersection(union(u,identity_relation),complement(v)),universal_class)** equal(union(symmetric_difference(universal_class,u),v),domain_relation) -> .
% 299.85/300.43  218309[5:SpL:122708.0,27247.1] || equal(intersection(union(u,identity_relation),complement(v)),domain_relation)** equal(union(symmetric_difference(universal_class,u),v),domain_relation) -> .
% 299.85/300.43  218311[5:SpL:122708.0,5193.0] || equal(complement(union(symmetric_difference(universal_class,u),v)),universal_class) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  218312[5:SpL:122708.0,889.0] || equal(complement(union(symmetric_difference(universal_class,u),v)),universal_class) -> member(omega,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  218314[14:SpL:122708.0,178304.0] || equal(complement(union(symmetric_difference(universal_class,u),v)),omega) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  218331[14:SpL:122708.0,178030.0] || subclass(omega,union(symmetric_difference(universal_class,u),v)) member(identity_relation,intersection(union(u,identity_relation),complement(v)))* -> .
% 299.85/300.43  218333[14:SpL:122708.0,178428.1] || equal(intersection(union(u,identity_relation),complement(v)),omega)** equal(union(symmetric_difference(universal_class,u),v),omega) -> .
% 299.85/300.43  218334[14:SpL:122708.0,178300.1] || equal(intersection(union(u,identity_relation),complement(v)),universal_class)** equal(union(symmetric_difference(universal_class,u),v),omega) -> .
% 299.85/300.43  218338[15:SpL:122708.0,199274.0] || well_ordering(universal_class,union(symmetric_difference(universal_class,u),v)) -> member(singleton(identity_relation),intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  218339[5:SpL:122708.0,152807.0] || well_ordering(universal_class,union(symmetric_difference(universal_class,u),v)) well_ordering(universal_class,intersection(union(u,identity_relation),complement(v)))* -> .
% 299.85/300.43  218343[7:SpL:122708.0,189304.1] inductive(intersection(union(u,identity_relation),complement(v))) || equal(union(symmetric_difference(universal_class,u),v),singleton(identity_relation))** -> .
% 299.85/300.43  218346[5:SpL:122708.0,206410.0] || subclass(union(symmetric_difference(universal_class,u),v),identity_relation) well_ordering(universal_class,intersection(union(u,identity_relation),complement(v)))* -> .
% 299.85/300.43  219575[11:Res:207964.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v))) member(regular(complement(power_class(identity_relation))),union(u,v))* -> .
% 299.85/300.43  219727[10:Res:208146.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v))) member(regular(complement(power_class(universal_class))),union(u,v))* -> .
% 299.85/300.43  219921[5:Obv:219879.2] || subclass(universal_class,u) member(omega,intersection(singleton(u),v))* -> equal(intersection(singleton(u),v),identity_relation).
% 299.85/300.43  219922[5:Obv:219843.1] || subclass(intersection(singleton(u),v),omega)* -> equal(intersection(singleton(u),v),identity_relation) equal(integer_of(u),u).
% 299.85/300.43  219948[15:SoR:209244.0,8479.2] single_valued_class(restrict(element_relation,universal_class,u)) || equal(restrict(element_relation,universal_class,u),identity_relation)** -> equal(sum_class(u),universal_class).
% 299.85/300.43  220042[5:Obv:220000.2] || subclass(universal_class,u) member(omega,intersection(v,singleton(u)))* -> equal(intersection(v,singleton(u)),identity_relation).
% 299.85/300.43  220043[5:Obv:219965.1] || subclass(intersection(u,singleton(v)),omega)* -> equal(intersection(u,singleton(v)),identity_relation) equal(integer_of(v),v).
% 299.85/300.43  220050[15:SoR:209249.0,8479.2] single_valued_class(flip(cross_product(u,universal_class))) || equal(flip(cross_product(u,universal_class)),identity_relation)** -> equal(inverse(u),universal_class).
% 299.85/300.43  220427[9:Res:207805.1,588.0] || subclass(universal_class,intersection(complement(u),complement(v))) member(regular(complement(symmetrization_of(identity_relation))),union(u,v))* -> .
% 299.85/300.43  220629[20:Res:212352.1,588.0] || subclass(inverse(identity_relation),intersection(complement(u),complement(v)))* member(regular(symmetrization_of(identity_relation)),union(u,v)) -> .
% 299.85/300.43  220640[20:Res:212352.1,9.0] || subclass(inverse(identity_relation),unordered_pair(u,v))* -> equal(regular(symmetrization_of(identity_relation)),v) equal(regular(symmetrization_of(identity_relation)),u).
% 299.85/300.43  221172[0:Res:122671.0,776.0] || subclass(domain_of(u),v) -> subclass(w,complement(cantor(u))) member(not_subclass_element(w,complement(cantor(u))),v)*.
% 299.85/300.43  221234[5:Rew:40.0,221126.2] || equal(range_of(u),universal_class) member(v,universal_class)* subclass(range_of(u),w)* -> member(v,w)*.
% 299.85/300.43  221424[20:Res:214397.1,588.0] || subclass(symmetrization_of(identity_relation),intersection(complement(u),complement(v)))* member(regular(symmetrization_of(identity_relation)),union(u,v)) -> .
% 299.85/300.43  221435[20:Res:214397.1,9.0] || subclass(symmetrization_of(identity_relation),unordered_pair(u,v))* -> equal(regular(symmetrization_of(identity_relation)),v) equal(regular(symmetrization_of(identity_relation)),u).
% 299.85/300.43  221713[12:SpR:9093.0,192335.1] || member(restrict(cross_product(u,universal_class),v,w),universal_class)* -> equal(integer_of(image(cross_product(v,w),u)),identity_relation).
% 299.85/300.43  221714[12:SpR:9093.0,192336.1] || member(restrict(cross_product(u,universal_class),v,w),universal_class)* -> equal(singleton(image(cross_product(v,w),u)),identity_relation).
% 299.85/300.43  221730[12:SpL:9093.0,191616.0] || member(image(cross_product(u,v),w),universal_class) member(restrict(cross_product(w,universal_class),u,v),universal_class)* -> .
% 299.85/300.43  222498[5:SpL:122708.0,222410.0] || subclass(universal_class,complement(union(symmetric_difference(universal_class,u),v))) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  222500[5:SpL:122711.0,222410.0] || subclass(universal_class,complement(union(u,symmetric_difference(universal_class,v)))) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  222610[5:SpL:122708.0,222412.0] || subclass(universal_class,complement(union(symmetric_difference(universal_class,u),v))) -> member(omega,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  222612[5:SpL:122711.0,222412.0] || subclass(universal_class,complement(union(u,symmetric_difference(universal_class,v)))) -> member(omega,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  222645[14:SpL:122708.0,222425.0] || subclass(omega,complement(union(symmetric_difference(universal_class,u),v))) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  222647[14:SpL:122711.0,222425.0] || subclass(omega,complement(union(u,symmetric_difference(universal_class,v)))) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  222679[5:SpL:122708.0,222432.0] || member(u,complement(union(symmetric_difference(universal_class,v),w))) -> member(u,intersection(union(v,identity_relation),complement(w)))*.
% 299.85/300.43  222681[5:SpL:122711.0,222432.0] || member(u,complement(union(v,symmetric_difference(universal_class,w)))) -> member(u,intersection(complement(v),union(w,identity_relation)))*.
% 299.85/300.43  222750[5:Res:5343.1,222432.0] ||  -> equal(restrict(complement(complement(u)),v,w),identity_relation) member(regular(restrict(complement(complement(u)),v,w)),u)*.
% 299.85/300.43  224558[17:SoR:219519.0,8479.2] single_valued_class(regular(complement(power_class(u)))) || equal(identity_relation,u) equal(regular(complement(power_class(u))),identity_relation)** -> .
% 299.85/300.43  224720[17:Res:195279.2,3924.0] || member(u,universal_class)* equal(successor(u),identity_relation) subclass(successor_relation,v) well_ordering(universal_class,v)* -> .
% 299.85/300.43  224822[5:Res:117277.0,7571.2] || member(u,universal_class) subclass(universal_class,complement(inverse(singleton(power_class(u)))))* -> asymmetric(singleton(power_class(u)),v)*.
% 299.85/300.43  224823[5:Res:29474.1,7571.2] || member(power_class(u),range_of(v))* member(u,universal_class) subclass(universal_class,complement(cantor(inverse(v))))* -> .
% 299.85/300.43  224886[5:SpL:118447.0,149331.0] || subclass(universal_class,intersection(complement(u),union(v,identity_relation)))* member(omega,union(u,symmetric_difference(universal_class,v))) -> .
% 299.85/300.43  224909[5:SpL:118447.0,149331.0] || subclass(universal_class,intersection(union(u,identity_relation),complement(v)))* member(omega,union(symmetric_difference(universal_class,u),v)) -> .
% 299.85/300.43  225666[5:Res:117277.0,7606.2] || member(u,universal_class) subclass(universal_class,complement(inverse(singleton(sum_class(u)))))* -> asymmetric(singleton(sum_class(u)),v)*.
% 299.85/300.43  225667[5:Res:29474.1,7606.2] || member(sum_class(u),range_of(v))* member(u,universal_class) subclass(universal_class,complement(cantor(inverse(v))))* -> .
% 299.85/300.43  225814[0:Rew:44.0,225804.0,27.0,225804.0] || subclass(universal_class,image(element_relation,successor(u))) member(unordered_pair(v,w),complement(image(element_relation,successor(u))))* -> .
% 299.85/300.43  225815[0:Rew:114.0,225803.0,27.0,225803.0] || subclass(universal_class,image(element_relation,symmetrization_of(u))) member(unordered_pair(v,w),complement(image(element_relation,symmetrization_of(u))))* -> .
% 299.85/300.43  226707[5:SpL:22914.0,7572.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(v),universal_class)) -> member(power_class(u),union(v,identity_relation))*.
% 299.85/300.43  226709[0:SpL:160.0,7572.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w)) -> member(power_class(u),complement(intersection(v,w)))*.
% 299.85/300.43  227294[0:Res:227180.0,8.0] || subclass(complement(cantor(inverse(u))),complement(range_of(u)))* -> equal(complement(cantor(inverse(u))),complement(range_of(u))).
% 299.85/300.43  227524[5:Res:608.1,5602.0] || member(regular(intersection(complement(domain_of(u)),v)),cantor(u))* -> equal(intersection(complement(domain_of(u)),v),identity_relation).
% 299.85/300.43  227532[5:Res:220369.1,5602.0] || member(regular(intersection(complement(symmetrization_of(identity_relation)),u)),inverse(identity_relation))* -> equal(intersection(complement(symmetrization_of(identity_relation)),u),identity_relation).
% 299.85/300.43  227574[5:Rew:118447.0,227518.1,118447.0,227518.0] || member(regular(intersection(union(u,identity_relation),v)),complement(u))* -> equal(intersection(union(u,identity_relation),v),identity_relation).
% 299.85/300.43  227942[5:Res:608.1,5577.0] || member(regular(intersection(u,complement(domain_of(v)))),cantor(v))* -> equal(intersection(u,complement(domain_of(v))),identity_relation).
% 299.85/300.43  227950[5:Res:220369.1,5577.0] || member(regular(intersection(u,complement(symmetrization_of(identity_relation)))),inverse(identity_relation))* -> equal(intersection(u,complement(symmetrization_of(identity_relation))),identity_relation).
% 299.85/300.43  228271[5:Rew:118447.0,227936.1,118447.0,227936.0] || member(regular(intersection(u,union(v,identity_relation))),complement(v))* -> equal(intersection(u,union(v,identity_relation)),identity_relation).
% 299.85/300.43  228738[5:Res:608.1,8086.1] || member(unordered_pair(u,v),cantor(w))* subclass(universal_class,regular(domain_of(w))) -> equal(domain_of(w),identity_relation).
% 299.85/300.43  228941[5:SpL:22914.0,7607.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(v),universal_class)) -> member(sum_class(u),union(v,identity_relation))*.
% 299.85/300.43  228943[0:SpL:160.0,7607.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w)) -> member(sum_class(u),complement(intersection(v,w)))*.
% 299.85/300.43  229758[5:SpR:146057.0,5585.1] ||  -> equal(symmetric_difference(domain_of(u),cantor(u)),identity_relation) member(regular(symmetric_difference(domain_of(u),cantor(u))),complement(cantor(u)))*.
% 299.85/300.43  230316[5:Res:29474.1,8431.1] || member(not_subclass_element(u,v),range_of(w))* subclass(u,complement(cantor(inverse(w)))) -> subclass(u,v).
% 299.85/300.43  230366[5:SpR:27.0,230113.0] ||  -> subclass(regular(intersection(complement(u),complement(v))),union(u,v))* equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.43  230413[5:Obv:230392.0] ||  -> equal(regular(unordered_pair(u,v)),u) subclass(v,complement(unordered_pair(u,v)))* equal(unordered_pair(u,v),identity_relation).
% 299.85/300.43  230414[5:Obv:230391.0] ||  -> equal(regular(unordered_pair(u,v)),v) subclass(u,complement(unordered_pair(u,v)))* equal(unordered_pair(u,v),identity_relation).
% 299.85/300.43  231574[5:SpL:22914.0,8432.0] || subclass(u,symmetric_difference(complement(v),universal_class)) -> subclass(u,w) member(not_subclass_element(u,w),union(v,identity_relation))*.
% 299.85/300.43  231576[0:SpL:160.0,8432.0] || subclass(u,symmetric_difference(v,w)) -> subclass(u,x) member(not_subclass_element(u,x),complement(intersection(v,w)))*.
% 299.85/300.43  231807[5:SpR:122708.0,227660.0] ||  -> equal(intersection(power_class(intersection(union(u,identity_relation),complement(v))),image(element_relation,union(symmetric_difference(universal_class,u),v))),identity_relation)**.
% 299.85/300.43  231809[5:SpR:122711.0,227660.0] ||  -> equal(intersection(power_class(intersection(complement(u),union(v,identity_relation))),image(element_relation,union(u,symmetric_difference(universal_class,v)))),identity_relation)**.
% 299.85/300.43  232173[5:SpR:122708.0,227850.0] ||  -> equal(symmetric_difference(power_class(intersection(union(u,identity_relation),complement(v))),image(element_relation,union(symmetric_difference(universal_class,u),v))),universal_class)**.
% 299.85/300.43  232175[5:SpR:122711.0,227850.0] ||  -> equal(symmetric_difference(power_class(intersection(complement(u),union(v,identity_relation))),image(element_relation,union(u,symmetric_difference(universal_class,v)))),universal_class)**.
% 299.85/300.43  232320[0:Res:601.1,25.1] || member(not_subclass_element(restrict(complement(u),v,w),x),u)* -> subclass(restrict(complement(u),v,w),x).
% 299.85/300.43  232336[5:Res:601.1,29473.0] ||  -> subclass(restrict(domain_of(u),v,w),x) member(not_subclass_element(restrict(domain_of(u),v,w),x),cantor(u))*.
% 299.85/300.43  232349[5:Res:601.1,222174.0] ||  -> subclass(restrict(symmetrization_of(identity_relation),u,v),w) member(not_subclass_element(restrict(symmetrization_of(identity_relation),u,v),w),inverse(identity_relation))*.
% 299.85/300.43  232543[5:SpR:122708.0,228406.0] ||  -> equal(intersection(image(element_relation,union(symmetric_difference(universal_class,u),v)),power_class(intersection(union(u,identity_relation),complement(v)))),identity_relation)**.
% 299.85/300.43  232545[5:SpR:122711.0,228406.0] ||  -> equal(intersection(image(element_relation,union(u,symmetric_difference(universal_class,v))),power_class(intersection(complement(u),union(v,identity_relation)))),identity_relation)**.
% 299.85/300.43  232722[5:SpR:122708.0,228573.0] ||  -> equal(symmetric_difference(image(element_relation,union(symmetric_difference(universal_class,u),v)),power_class(intersection(union(u,identity_relation),complement(v)))),universal_class)**.
% 299.85/300.43  232724[5:SpR:122711.0,228573.0] ||  -> equal(symmetric_difference(image(element_relation,union(u,symmetric_difference(universal_class,v))),power_class(intersection(complement(u),union(v,identity_relation)))),universal_class)**.
% 299.85/300.43  233270[7:Rew:189445.0,233244.1] || member(regular(image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation))))* -> equal(image(element_relation,singleton(identity_relation)),identity_relation).
% 299.85/300.43  233271[5:Rew:124149.0,233245.1] || member(regular(image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation))))* -> equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation).
% 299.85/300.43  233614[17:Rew:233494.0,210913.2] function(u) single_valued_class(sum_class(image(u,identity_relation))) || equal(apply(u,universal_class),cross_product(universal_class,universal_class))** -> .
% 299.85/300.43  233639[15:Rew:233634.0,193860.1] || member(restrict(element_relation,universal_class,range_of(identity_relation)),universal_class) -> member(ordered_pair(restrict(element_relation,universal_class,range_of(identity_relation)),universal_class),domain_relation)*.
% 299.85/300.43  233643[15:Rew:233634.0,193847.2] || member(sum_class(range_of(identity_relation)),u) member(v,w) -> member(ordered_pair(v,universal_class),cross_product(w,u))*.
% 299.85/300.43  233973[0:MRR:233940.0,176.0] || member(complement(u),universal_class) -> member(singleton(complement(u)),u)* member(singleton(singleton(singleton(complement(u)))),element_relation)*.
% 299.85/300.43  234166[17:Res:608.1,195186.2] || member(ordered_pair(u,identity_relation),cantor(v))* member(u,universal_class) subclass(domain_relation,complement(domain_of(v))) -> .
% 299.85/300.43  234176[17:Res:220369.1,195186.2] || member(ordered_pair(u,identity_relation),inverse(identity_relation))* member(u,universal_class) subclass(domain_relation,complement(symmetrization_of(identity_relation))) -> .
% 299.85/300.43  234210[17:Rew:118447.0,234158.2] || member(ordered_pair(u,identity_relation),complement(v))* member(u,universal_class) subclass(domain_relation,union(v,identity_relation)) -> .
% 299.85/300.43  234223[17:MRR:234160.0,641.0] || member(u,universal_class) subclass(domain_relation,complement(union(v,w)))* -> member(ordered_pair(u,identity_relation),complement(v))*.
% 299.85/300.43  234224[17:MRR:234159.0,641.0] || member(u,universal_class) subclass(domain_relation,complement(union(v,w)))* -> member(ordered_pair(u,identity_relation),complement(w))*.
% 299.85/300.43  234795[5:Rew:124149.0,234773.2] || subclass(omega,complement(inverse(identity_relation))) -> equal(integer_of(not_subclass_element(symmetrization_of(identity_relation),u)),identity_relation)** subclass(symmetrization_of(identity_relation),u).
% 299.85/300.43  234910[5:Res:26595.1,153534.1] || member(u,universal_class) equal(complement(domain_of(v)),universal_class) -> equal(apply(v,u),sum_class(range_of(identity_relation)))**.
% 299.85/300.43  234946[17:MRR:234876.2,5188.0] || well_ordering(u,universal_class) member(v,universal_class) -> equal(apply(least(u,universal_class),v),sum_class(range_of(identity_relation)))**.
% 299.85/300.43  234947[17:MRR:234875.2,5188.0] || well_ordering(u,rest_relation) member(v,universal_class) -> equal(apply(least(u,rest_relation),v),sum_class(range_of(identity_relation)))**.
% 299.85/300.43  234948[17:MRR:234874.2,5188.0] || well_ordering(u,universal_class) member(v,universal_class) -> equal(apply(least(u,rest_relation),v),sum_class(range_of(identity_relation)))**.
% 299.85/300.43  234951[5:MRR:234900.0,29542.1] || subclass(u,complement(domain_of(v)))* -> equal(apply(v,regular(u)),sum_class(range_of(identity_relation))) equal(u,identity_relation).
% 299.85/300.43  235055[7:Rew:189445.0,235004.1] ||  -> member(not_subclass_element(u,image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation))))* subclass(u,image(element_relation,singleton(identity_relation))).
% 299.85/300.43  235056[5:Rew:124149.0,235005.1] ||  -> member(not_subclass_element(u,image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation))))* subclass(u,image(element_relation,symmetrization_of(identity_relation))).
% 299.85/300.43  235138[5:SpL:233494.0,7606.2] || member(image(u,identity_relation),universal_class) subclass(universal_class,complement(v)) member(apply(u,universal_class),v)* -> .
% 299.85/300.43  235305[15:SpL:233634.0,37.0] || member(ordered_pair(ordered_pair(u,universal_class),v),flip(w)) -> member(ordered_pair(ordered_pair(range_of(identity_relation),u),v),w)*.
% 299.85/300.43  235306[15:SpL:233634.0,34.0] || member(ordered_pair(ordered_pair(u,universal_class),v),rotate(w)) -> member(ordered_pair(ordered_pair(range_of(identity_relation),v),u),w)*.
% 299.85/300.43  235626[0:SpR:647.0,20387.1] || subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(v,rest_of(singleton(singleton(singleton(v))))),singleton(v)),u)*.
% 299.85/300.43  235652[0:Res:20387.1,25.1] || subclass(rest_relation,rotate(complement(u))) member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),u)* -> .
% 299.85/300.43  235655[0:Res:20387.1,222432.0] || subclass(rest_relation,rotate(complement(complement(u)))) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),u)*.
% 299.85/300.43  235657[0:Res:20387.1,22.0] || subclass(rest_relation,rotate(intersection(u,v)))* -> member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),u)*.
% 299.85/300.43  235658[0:Res:20387.1,23.0] || subclass(rest_relation,rotate(intersection(u,v)))* -> member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),v)*.
% 299.85/300.43  235669[5:Res:20387.1,29473.0] || subclass(rest_relation,rotate(domain_of(u))) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),cantor(u))*.
% 299.85/300.43  235687[5:Res:20387.1,208753.0] || subclass(rest_relation,rotate(rest_of(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v))))* subclass(element_relation,identity_relation) -> .
% 299.85/300.43  235689[5:Res:20387.1,222174.0] || subclass(rest_relation,rotate(symmetrization_of(identity_relation))) -> member(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v),inverse(identity_relation))*.
% 299.85/300.43  235693[0:Res:20387.1,143.0] || subclass(rest_relation,rotate(rest_of(u))) -> equal(restrict(u,ordered_pair(v,rest_of(ordered_pair(w,v))),universal_class),w)**.
% 299.85/300.43  235705[0:Res:20387.1,97.0] || subclass(rest_relation,rotate(composition_function)) -> equal(compose(ordered_pair(u,rest_of(ordered_pair(ordered_pair(v,w),u))),v),w)**.
% 299.85/300.43  235737[0:SpR:647.0,20388.1] || subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(v,singleton(v)),rest_of(singleton(singleton(singleton(v))))),u)*.
% 299.85/300.43  235746[0:SpR:647.0,20388.1] || subclass(rest_relation,flip(u)) -> member(ordered_pair(singleton(singleton(singleton(v))),rest_of(ordered_pair(v,singleton(v)))),u)*.
% 299.85/300.43  235768[0:Res:20388.1,25.1] || subclass(rest_relation,flip(complement(u))) member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),u)* -> .
% 299.85/300.43  235771[0:Res:20388.1,222432.0] || subclass(rest_relation,flip(complement(complement(u)))) -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),u)*.
% 299.85/300.43  235773[0:Res:20388.1,22.0] || subclass(rest_relation,flip(intersection(u,v)))* -> member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),u)*.
% 299.85/300.43  235774[0:Res:20388.1,23.0] || subclass(rest_relation,flip(intersection(u,v)))* -> member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),v)*.
% 299.85/300.43  235785[5:Res:20388.1,29473.0] || subclass(rest_relation,flip(domain_of(u))) -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),cantor(u))*.
% 299.85/300.43  235803[5:Res:20388.1,208753.0] || subclass(rest_relation,flip(rest_of(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u))))))* subclass(element_relation,identity_relation) -> .
% 299.85/300.43  235805[5:Res:20388.1,222174.0] || subclass(rest_relation,flip(symmetrization_of(identity_relation))) -> member(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u))),inverse(identity_relation))*.
% 299.85/300.43  235809[0:Res:20388.1,143.0] || subclass(rest_relation,flip(rest_of(u))) -> equal(restrict(u,ordered_pair(v,w),universal_class),rest_of(ordered_pair(w,v)))**.
% 299.85/300.43  235945[15:Res:5462.2,199206.0] || subclass(omega,symmetric_difference(u,v)) well_ordering(universal_class,union(u,v))* -> equal(integer_of(singleton(identity_relation)),identity_relation).
% 299.85/300.43  236016[5:Res:163531.1,5465.0] || equal(power_class(u),universal_class) subclass(power_class(u),v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.43  236017[5:Res:146432.1,5465.0] || equal(sum_class(u),universal_class) subclass(sum_class(u),v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.43  236019[5:Res:150282.1,5465.0] || equal(range_of(u),universal_class) subclass(range_of(u),v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.43  236020[5:Res:162500.1,5465.0] || equal(complement(u),universal_class) subclass(complement(u),v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.43  236023[5:Res:146436.1,5465.0] || equal(inverse(u),universal_class) subclass(inverse(u),v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.43  236324[5:Res:20387.1,233419.0] || subclass(rest_relation,rotate(singleton(omega))) -> equal(integer_of(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v)),identity_relation)**.
% 299.85/300.43  236325[5:Res:20388.1,233419.0] || subclass(rest_relation,flip(singleton(omega))) -> equal(integer_of(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u)))),identity_relation)**.
% 299.85/300.43  236505[5:Rew:124149.0,236405.1] || member(not_subclass_element(intersection(u,symmetrization_of(identity_relation)),v),complement(inverse(identity_relation)))* -> subclass(intersection(u,symmetrization_of(identity_relation)),v).
% 299.85/300.43  236565[5:SpR:233485.0,20366.2] || member(u,universal_class) subclass(rest_relation,rest_of(cross_product(v,identity_relation))) -> member(u,segment(universal_class,v,universal_class))*.
% 299.85/300.43  236658[15:SpR:233636.0,20388.1] || subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(v,universal_class),rest_of(ordered_pair(sum_class(range_of(identity_relation)),v))),u)*.
% 299.85/300.43  236660[15:SpR:233636.0,20387.1] || subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(sum_class(range_of(identity_relation)),v))),universal_class),u)*.
% 299.85/300.43  236662[15:SpR:233636.0,20387.1] || subclass(rest_relation,rotate(u)) -> member(ordered_pair(ordered_pair(sum_class(range_of(identity_relation)),rest_of(ordered_pair(v,universal_class))),v),u)*.
% 299.85/300.43  236663[15:SpR:233636.0,20388.1] || subclass(rest_relation,flip(u)) -> member(ordered_pair(ordered_pair(sum_class(range_of(identity_relation)),v),rest_of(ordered_pair(v,universal_class))),u)*.
% 299.85/300.43  236898[5:Rew:124149.0,236778.1] || member(not_subclass_element(intersection(symmetrization_of(identity_relation),u),v),complement(inverse(identity_relation)))* -> subclass(intersection(symmetrization_of(identity_relation),u),v).
% 299.85/300.43  237030[7:SpL:189445.0,21262.0] || equal(u,singleton(identity_relation)) member(v,universal_class) -> member(v,complement(singleton(identity_relation)))* member(v,u)*.
% 299.85/300.43  237031[5:SpL:124149.0,21262.0] || equal(u,symmetrization_of(identity_relation)) member(v,universal_class) -> member(v,complement(inverse(identity_relation)))* member(v,u)*.
% 299.85/300.43  237177[5:Obv:237139.2] || equal(u,v) equal(unordered_pair(v,u),complement(singleton(v)))** -> equal(unordered_pair(v,u),identity_relation).
% 299.85/300.43  237178[5:Obv:237137.2] || equal(u,v) subclass(unordered_pair(v,u),complement(singleton(v)))* -> equal(unordered_pair(v,u),identity_relation).
% 299.85/300.43  237326[5:Res:5580.1,1054.0] ||  -> equal(intersection(u,intersection(v,singleton(w))),identity_relation) equal(regular(intersection(u,intersection(v,singleton(w)))),w)**.
% 299.85/300.43  237919[5:Res:5581.1,1054.0] ||  -> equal(intersection(u,intersection(singleton(v),w)),identity_relation) equal(regular(intersection(u,intersection(singleton(v),w))),v)**.
% 299.85/300.43  238715[5:Res:5605.1,1054.0] ||  -> equal(intersection(intersection(u,singleton(v)),w),identity_relation) equal(regular(intersection(intersection(u,singleton(v)),w)),v)**.
% 299.85/300.43  239509[5:Res:5606.1,1054.0] ||  -> equal(intersection(intersection(singleton(u),v),w),identity_relation) equal(regular(intersection(intersection(singleton(u),v),w)),u)**.
% 299.85/300.43  240333[5:Res:5604.2,233419.0] || subclass(u,singleton(omega)) -> equal(intersection(u,v),identity_relation) equal(integer_of(regular(intersection(u,v))),identity_relation)**.
% 299.85/300.43  240334[5:Res:5604.2,3924.0] || subclass(u,v)* subclass(v,w)* well_ordering(universal_class,w)* -> equal(intersection(u,x),identity_relation)**.
% 299.85/300.43  240340[5:Res:5604.2,25.1] || subclass(u,complement(v)) member(regular(intersection(u,w)),v)* -> equal(intersection(u,w),identity_relation).
% 299.85/300.43  240343[5:Res:5604.2,222432.0] || subclass(u,complement(complement(v))) -> equal(intersection(u,w),identity_relation) member(regular(intersection(u,w)),v)*.
% 299.85/300.43  240345[5:Res:5604.2,22.0] || subclass(u,intersection(v,w))* -> equal(intersection(u,x),identity_relation) member(regular(intersection(u,x)),v)*.
% 299.85/300.43  240346[5:Res:5604.2,23.0] || subclass(u,intersection(v,w))* -> equal(intersection(u,x),identity_relation) member(regular(intersection(u,x)),w)*.
% 299.85/300.43  240357[5:Res:5604.2,29473.0] || subclass(u,domain_of(v)) -> equal(intersection(u,w),identity_relation) member(regular(intersection(u,w)),cantor(v))*.
% 299.85/300.43  240375[5:Res:5604.2,208753.0] || subclass(u,rest_of(regular(intersection(u,v))))* subclass(element_relation,identity_relation) -> equal(intersection(u,v),identity_relation).
% 299.85/300.43  240377[5:Res:5604.2,222174.0] || subclass(u,symmetrization_of(identity_relation)) -> equal(intersection(u,v),identity_relation) member(regular(intersection(u,v)),inverse(identity_relation))*.
% 299.85/300.43  240926[5:Res:5579.2,233419.0] || subclass(u,singleton(omega)) -> equal(intersection(v,u),identity_relation) equal(integer_of(regular(intersection(v,u))),identity_relation)**.
% 299.85/300.43  240927[5:Res:5579.2,3924.0] || subclass(u,v)* subclass(v,w)* well_ordering(universal_class,w)* -> equal(intersection(x,u),identity_relation)**.
% 299.85/300.43  240933[5:Res:5579.2,25.1] || subclass(u,complement(v)) member(regular(intersection(w,u)),v)* -> equal(intersection(w,u),identity_relation).
% 299.85/300.43  240936[5:Res:5579.2,222432.0] || subclass(u,complement(complement(v))) -> equal(intersection(w,u),identity_relation) member(regular(intersection(w,u)),v)*.
% 299.85/300.43  240938[5:Res:5579.2,22.0] || subclass(u,intersection(v,w))* -> equal(intersection(x,u),identity_relation) member(regular(intersection(x,u)),v)*.
% 299.85/300.43  240939[5:Res:5579.2,23.0] || subclass(u,intersection(v,w))* -> equal(intersection(x,u),identity_relation) member(regular(intersection(x,u)),w)*.
% 299.85/300.43  240950[5:Res:5579.2,29473.0] || subclass(u,domain_of(v)) -> equal(intersection(w,u),identity_relation) member(regular(intersection(w,u)),cantor(v))*.
% 299.85/300.43  240968[5:Res:5579.2,208753.0] || subclass(u,rest_of(regular(intersection(v,u))))* subclass(element_relation,identity_relation) -> equal(intersection(v,u),identity_relation).
% 299.85/300.43  240970[5:Res:5579.2,222174.0] || subclass(u,symmetrization_of(identity_relation)) -> equal(intersection(v,u),identity_relation) member(regular(intersection(v,u)),inverse(identity_relation))*.
% 299.85/300.43  241436[5:Res:58.0,5316.0] || subclass(cross_product(universal_class,universal_class),u) -> equal(compose(v,w),identity_relation) member(regular(compose(v,w)),u)*.
% 299.85/300.43  241441[5:Res:36.0,5316.0] || subclass(cross_product(cross_product(universal_class,universal_class),universal_class),u)* -> equal(flip(v),identity_relation) member(regular(flip(v)),u)*.
% 299.85/300.43  241442[5:Res:33.0,5316.0] || subclass(cross_product(cross_product(universal_class,universal_class),universal_class),u)* -> equal(rotate(v),identity_relation) member(regular(rotate(v)),u)*.
% 299.85/300.43  241453[5:Res:3364.1,5316.0] || member(u,universal_class) subclass(u,v) -> equal(sum_class(u),identity_relation) member(regular(sum_class(u)),v)*.
% 299.85/300.43  241456[5:Res:163531.1,5316.0] || equal(power_class(u),universal_class) subclass(power_class(u),v)* -> equal(w,identity_relation) member(regular(w),v)*.
% 299.85/300.43  241457[5:Res:146432.1,5316.0] || equal(sum_class(u),universal_class) subclass(sum_class(u),v)* -> equal(w,identity_relation) member(regular(w),v)*.
% 299.85/300.43  241459[5:Res:150282.1,5316.0] || equal(range_of(u),universal_class) subclass(range_of(u),v)* -> equal(w,identity_relation) member(regular(w),v)*.
% 299.85/300.43  241464[5:Res:162500.1,5316.0] || equal(complement(u),universal_class) subclass(complement(u),v)* -> equal(w,identity_relation) member(regular(w),v)*.
% 299.85/300.43  241465[5:Res:230113.0,5316.0] || subclass(complement(u),v) -> equal(u,identity_relation) equal(regular(u),identity_relation) member(regular(regular(u)),v)*.
% 299.85/300.43  241466[5:Res:230404.0,5316.0] || subclass(complement(singleton(u)),v)* -> equal(singleton(u),identity_relation) equal(u,identity_relation) member(regular(u),v).
% 299.85/300.43  241504[5:Res:227090.0,5316.0] || subclass(complement(cantor(u)),v) -> equal(complement(domain_of(u)),identity_relation) member(regular(complement(domain_of(u))),v)*.
% 299.85/300.43  241518[5:Res:146436.1,5316.0] || equal(inverse(u),universal_class) subclass(inverse(u),v)* -> equal(w,identity_relation) member(regular(w),v)*.
% 299.85/300.43  241563[5:MRR:241463.3,5247.1] || connected(u,v) subclass(v,w) -> well_ordering(u,v) member(regular(not_well_ordering(u,v)),w)*.
% 299.85/300.43  241716[0:SpR:145868.1,8335.1] || subclass(u,v) -> subclass(symmetric_difference(v,u),w) member(not_subclass_element(symmetric_difference(v,u),w),complement(u))*.
% 299.85/300.43  241723[5:SpR:22595.0,8335.1] ||  -> subclass(symmetric_difference(range_of(u),universal_class),v) member(not_subclass_element(symmetric_difference(range_of(u),universal_class),v),complement(cantor(inverse(u))))*.
% 299.85/300.43  241991[5:Res:203299.1,8150.0] || equal(complement(symmetric_difference(cross_product(u,v),w)),identity_relation) -> member(singleton(x),complement(restrict(w,u,v)))*.
% 299.85/300.43  241992[5:Res:201827.1,8150.0] || subclass(complement(symmetric_difference(cross_product(u,v),w)),identity_relation) -> member(singleton(x),complement(restrict(w,u,v)))*.
% 299.85/300.43  241996[0:Res:779.1,8150.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(ordered_pair(x,y),complement(restrict(w,u,v)))*.
% 299.85/300.43  242008[5:Res:223091.1,8150.0] || equal(complement(symmetric_difference(cross_product(u,v),w)),identity_relation) -> member(power_class(identity_relation),complement(restrict(w,u,v)))*.
% 299.85/300.43  242039[20:Res:212523.1,8150.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(regular(symmetrization_of(identity_relation)),complement(restrict(w,u,v)))*.
% 299.85/300.43  242060[4:Res:212539.1,8150.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(least(element_relation,omega),complement(restrict(w,u,v)))*.
% 299.85/300.43  242061[4:Res:212361.1,8150.0] || subclass(omega,symmetric_difference(cross_product(u,v),w)) -> member(least(element_relation,omega),complement(restrict(w,u,v)))*.
% 299.85/300.43  242220[5:Res:20387.1,242117.0] || subclass(rest_relation,rotate(domain_of(complement(cross_product(singleton(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v)),universal_class)))))* -> .
% 299.85/300.43  242221[5:Res:20388.1,242117.0] || subclass(rest_relation,flip(domain_of(complement(cross_product(singleton(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u)))),universal_class)))))* -> .
% 299.85/300.43  242244[5:Res:5604.2,242117.0] || subclass(u,domain_of(complement(cross_product(singleton(regular(intersection(u,v))),universal_class))))* -> equal(intersection(u,v),identity_relation).
% 299.85/300.43  242245[5:Res:5579.2,242117.0] || subclass(u,domain_of(complement(cross_product(singleton(regular(intersection(v,u))),universal_class))))* -> equal(intersection(v,u),identity_relation).
% 299.85/300.43  242262[5:Res:203299.1,8147.0] || equal(complement(symmetric_difference(u,cross_product(v,w))),identity_relation) -> member(singleton(x),complement(restrict(u,v,w)))*.
% 299.85/300.43  242263[5:Res:201827.1,8147.0] || subclass(complement(symmetric_difference(u,cross_product(v,w))),identity_relation) -> member(singleton(x),complement(restrict(u,v,w)))*.
% 299.85/300.43  242267[0:Res:779.1,8147.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(ordered_pair(x,y),complement(restrict(u,v,w)))*.
% 299.85/300.43  242279[5:Res:223091.1,8147.0] || equal(complement(symmetric_difference(u,cross_product(v,w))),identity_relation) -> member(power_class(identity_relation),complement(restrict(u,v,w)))*.
% 299.85/300.43  242311[20:Res:212523.1,8147.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(regular(symmetrization_of(identity_relation)),complement(restrict(u,v,w)))*.
% 299.85/300.43  242333[4:Res:212539.1,8147.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(least(element_relation,omega),complement(restrict(u,v,w)))*.
% 299.85/300.43  242334[4:Res:212361.1,8147.0] || subclass(omega,symmetric_difference(u,cross_product(v,w))) -> member(least(element_relation,omega),complement(restrict(u,v,w)))*.
% 299.85/300.43  242368[17:SpL:209320.1,756.0] function(u) || member(v,cantor(restrict(w,x,identity_relation)))* -> member(v,segment(w,x,u))*.
% 299.85/300.43  242388[5:Res:203299.1,756.0] || equal(complement(cantor(restrict(u,v,singleton(w)))),identity_relation)** -> member(singleton(x),segment(u,v,w))*.
% 299.85/300.43  242389[5:Res:201827.1,756.0] || subclass(complement(cantor(restrict(u,v,singleton(w)))),identity_relation)* -> member(singleton(x),segment(u,v,w))*.
% 299.85/300.43  242393[0:Res:779.1,756.0] || subclass(universal_class,cantor(restrict(u,v,singleton(w)))) -> member(ordered_pair(x,y),segment(u,v,w))*.
% 299.85/300.43  242399[0:Res:762.1,756.0] || subclass(universal_class,cantor(restrict(u,v,singleton(w)))) -> member(unordered_pair(x,y),segment(u,v,w))*.
% 299.85/300.43  242405[5:Res:223091.1,756.0] || equal(complement(cantor(restrict(u,v,singleton(w)))),identity_relation)** -> member(power_class(identity_relation),segment(u,v,w)).
% 299.85/300.43  242437[20:Res:212523.1,756.0] || subclass(universal_class,cantor(restrict(u,v,singleton(w)))) -> member(regular(symmetrization_of(identity_relation)),segment(u,v,w))*.
% 299.85/300.43  242461[4:Res:212539.1,756.0] || subclass(universal_class,cantor(restrict(u,v,singleton(w)))) -> member(least(element_relation,omega),segment(u,v,w))*.
% 299.85/300.43  242462[4:Res:212361.1,756.0] || subclass(omega,cantor(restrict(u,v,singleton(w)))) -> member(least(element_relation,omega),segment(u,v,w))*.
% 299.85/300.43  242497[15:SoR:242493.0,4792.2] single_valued_class(complement(cross_product(singleton(omega),universal_class))) || equal(complement(cross_product(singleton(omega),universal_class)),cross_product(universal_class,universal_class))** -> .
% 299.85/300.43  242582[5:Rew:22750.0,242515.0] ||  -> equal(cantor(restrict(cross_product(u,v),w,singleton(x))),cantor(restrict(cross_product(w,singleton(x)),u,v)))*.
% 299.85/300.43  242516[0:SpR:9097.0,47679.0] ||  -> subclass(complement(complement(cantor(restrict(cross_product(u,singleton(v)),w,x)))),segment(cross_product(w,x),u,v))*.
% 299.85/300.43  242517[0:SpR:9097.0,45823.0] ||  -> subclass(intersection(cantor(restrict(cross_product(u,singleton(v)),w,x)),y),segment(cross_product(w,x),u,v))*.
% 299.85/300.43  242519[15:SpR:9097.0,208959.1] function(restrict(cross_product(u,singleton(v)),w,x)) ||  -> equal(segment(cross_product(w,x),u,v),universal_class)**.
% 299.85/300.43  242525[0:SpR:9097.0,227090.0] ||  -> subclass(complement(segment(cross_product(u,v),w,x)),complement(cantor(restrict(cross_product(w,singleton(x)),u,v))))*.
% 299.85/300.43  242543[0:SpR:9097.0,45825.0] ||  -> subclass(intersection(u,cantor(restrict(cross_product(v,singleton(w)),x,y))),segment(cross_product(x,y),v,w))*.
% 299.85/300.43  242626[15:SoR:242622.0,4792.2] single_valued_class(complement(cross_product(singleton(identity_relation),universal_class))) || equal(complement(cross_product(singleton(identity_relation),universal_class)),cross_product(universal_class,universal_class))** -> .
% 299.85/300.43  243866[21:Rew:22454.0,243865.1] inductive(complement(complement(inverse(subset_relation)))) || well_ordering(u,universal_class) -> member(least(u,symmetrization_of(identity_relation)),symmetrization_of(identity_relation))*.
% 299.85/300.43  244094[5:Res:20387.1,242218.0] || subclass(rest_relation,rotate(cantor(complement(cross_product(singleton(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v)),universal_class)))))* -> .
% 299.85/300.43  244095[5:Res:20388.1,242218.0] || subclass(rest_relation,flip(cantor(complement(cross_product(singleton(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u)))),universal_class)))))* -> .
% 299.85/300.43  244118[5:Res:5604.2,242218.0] || subclass(u,cantor(complement(cross_product(singleton(regular(intersection(u,v))),universal_class))))* -> equal(intersection(u,v),identity_relation).
% 299.85/300.43  244119[5:Res:5579.2,242218.0] || subclass(u,cantor(complement(cross_product(singleton(regular(intersection(v,u))),universal_class))))* -> equal(intersection(v,u),identity_relation).
% 299.85/300.43  244182[5:SpR:122708.0,237599.0] ||  -> equal(intersection(union(symmetric_difference(universal_class,u),v),restrict(intersection(union(u,identity_relation),complement(v)),w,x)),identity_relation)**.
% 299.85/300.43  244184[5:SpR:122711.0,237599.0] ||  -> equal(intersection(union(u,symmetric_difference(universal_class,v)),restrict(intersection(complement(u),union(v,identity_relation)),w,x)),identity_relation)**.
% 299.85/300.43  244195[5:SpR:579.0,237599.0] ||  -> equal(intersection(power_class(intersection(complement(u),complement(v))),restrict(image(element_relation,union(u,v)),w,x)),identity_relation)**.
% 299.85/300.43  244308[5:SpR:122708.0,239026.0] ||  -> equal(intersection(restrict(intersection(union(u,identity_relation),complement(v)),w,x),union(symmetric_difference(universal_class,u),v)),identity_relation)**.
% 299.85/300.43  244310[5:SpR:122711.0,239026.0] ||  -> equal(intersection(restrict(intersection(complement(u),union(v,identity_relation)),w,x),union(u,symmetric_difference(universal_class,v))),identity_relation)**.
% 299.85/300.43  244321[5:SpR:579.0,239026.0] ||  -> equal(intersection(restrict(image(element_relation,union(u,v)),w,x),power_class(intersection(complement(u),complement(v)))),identity_relation)**.
% 299.85/300.43  244526[15:Rew:231701.0,244493.1] || member(not_subclass_element(symmetric_difference(universal_class,range_of(identity_relation)),identity_relation),successor(range_of(identity_relation)))* -> subclass(symmetric_difference(universal_class,range_of(identity_relation)),identity_relation).
% 299.85/300.43  244619[21:Res:203299.1,243787.1] || equal(complement(complement(compose(complement(element_relation),inverse(element_relation)))),identity_relation)** member(singleton(u),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244620[21:Res:201827.1,243787.1] || subclass(complement(complement(compose(complement(element_relation),inverse(element_relation)))),identity_relation)* member(singleton(u),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244624[21:Res:779.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(ordered_pair(u,v),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244630[21:Res:762.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(unordered_pair(u,v),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244636[21:Res:223091.1,243787.1] || equal(complement(complement(compose(complement(element_relation),inverse(element_relation)))),identity_relation)** member(power_class(identity_relation),cross_product(universal_class,universal_class)) -> .
% 299.85/300.43  244671[21:Res:212523.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(regular(symmetrization_of(identity_relation)),cross_product(universal_class,universal_class)) -> .
% 299.85/300.43  244695[21:Res:212539.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(least(element_relation,omega),cross_product(universal_class,universal_class)) -> .
% 299.85/300.43  244696[21:Res:212361.1,243787.1] || subclass(omega,complement(compose(complement(element_relation),inverse(element_relation))))* member(least(element_relation,omega),cross_product(universal_class,universal_class)) -> .
% 299.85/300.43  244699[21:MRR:244645.0,15.1] || subclass(domain_relation,complement(compose(complement(element_relation),inverse(element_relation))))* member(ordered_pair(u,identity_relation),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244846[5:Res:202851.1,183413.0] || equal(complement(u),identity_relation) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(omega,least(omega,universal_class))),identity_relation)**.
% 299.85/300.43  245341[20:Res:244951.0,8.0] || subclass(symmetrization_of(identity_relation),singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)))* -> equal(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),symmetrization_of(identity_relation)).
% 299.85/300.43  246246[5:Rew:22501.0,246083.1] || equal(identity_relation,u) -> equal(union(image(element_relation,power_class(identity_relation)),v),union(image(element_relation,power_class(u)),v))*.
% 299.85/300.43  246669[5:Rew:22502.0,246483.1] || equal(identity_relation,u) -> equal(union(v,image(element_relation,power_class(identity_relation))),union(v,image(element_relation,power_class(u))))*.
% 299.85/300.43  246917[7:Rew:118446.0,246803.0,22454.0,246803.0] ||  -> equal(symmetric_difference(singleton(identity_relation),intersection(u,complement(singleton(identity_relation)))),union(singleton(identity_relation),intersection(u,complement(singleton(identity_relation)))))**.
% 299.85/300.43  247041[5:Rew:118446.0,246931.0,22454.0,246931.0] ||  -> equal(symmetric_difference(symmetrization_of(identity_relation),intersection(u,complement(inverse(identity_relation)))),union(symmetrization_of(identity_relation),intersection(u,complement(inverse(identity_relation)))))**.
% 299.85/300.43  247177[0:SpR:21037.0,8337.0] ||  -> subclass(symmetric_difference(successor(u),union(complement(u),complement(singleton(u)))),complement(symmetric_difference(complement(u),complement(singleton(u)))))*.
% 299.85/300.43  247269[5:SpL:21037.0,5467.0] || subclass(omega,symmetric_difference(complement(u),complement(singleton(u))))* -> equal(integer_of(v),identity_relation) member(v,successor(u))*.
% 299.85/300.43  247285[5:SpL:21037.0,5321.0] || subclass(u,symmetric_difference(complement(v),complement(singleton(v))))* -> equal(u,identity_relation) member(regular(u),successor(v)).
% 299.85/300.43  247323[12:Rew:22457.0,247214.1,22454.0,247214.1] || member(u,universal_class) -> equal(intersection(successor(sum_class(range_of(u))),universal_class),symmetric_difference(complement(sum_class(range_of(u))),universal_class))**.
% 299.85/300.43  247580[7:Rew:118446.0,247458.0,22454.0,247458.0] ||  -> equal(symmetric_difference(singleton(identity_relation),intersection(complement(singleton(identity_relation)),u)),union(singleton(identity_relation),intersection(complement(singleton(identity_relation)),u)))**.
% 299.85/300.43  247712[5:Rew:118446.0,247594.0,22454.0,247594.0] ||  -> equal(symmetric_difference(symmetrization_of(identity_relation),intersection(complement(inverse(identity_relation)),u)),union(symmetrization_of(identity_relation),intersection(complement(inverse(identity_relation)),u)))**.
% 299.85/300.43  247922[7:Rew:189445.0,247873.1] || member(u,universal_class) subclass(rest_relation,singleton(identity_relation)) -> subclass(singleton(ordered_pair(u,rest_of(u))),singleton(identity_relation))*.
% 299.85/300.43  247923[5:Rew:124149.0,247874.1] || member(u,universal_class) subclass(rest_relation,symmetrization_of(identity_relation)) -> subclass(singleton(ordered_pair(u,rest_of(u))),symmetrization_of(identity_relation))*.
% 299.85/300.43  247925[5:Rew:22481.0,247892.1] || member(u,universal_class) subclass(rest_relation,power_class(identity_relation)) -> subclass(singleton(ordered_pair(u,rest_of(u))),power_class(identity_relation))*.
% 299.85/300.43  247926[5:Rew:6805.0,247893.1] || member(u,universal_class) subclass(rest_relation,power_class(universal_class)) -> subclass(singleton(ordered_pair(u,rest_of(u))),power_class(universal_class))*.
% 299.85/300.43  247936[17:MRR:247864.1,212362.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,complement(u)) member(ordered_pair(least(element_relation,omega),identity_relation),u)* -> .
% 299.85/300.43  247937[17:MRR:247863.1,212362.0] || subclass(domain_relation,rest_relation) subclass(rest_relation,complement(u)) member(ordered_pair(least(element_relation,omega),identity_relation),u)* -> .
% 299.85/300.43  247938[20:MRR:247860.1,212353.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,complement(u)) member(ordered_pair(regular(symmetrization_of(identity_relation)),identity_relation),u)* -> .
% 299.85/300.43  247939[20:MRR:247859.1,212353.0] || subclass(domain_relation,rest_relation) subclass(rest_relation,complement(u)) member(ordered_pair(regular(symmetrization_of(identity_relation)),identity_relation),u)* -> .
% 299.85/300.43  247940[17:MRR:247858.1,641.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,complement(u)) member(ordered_pair(ordered_pair(v,w),identity_relation),u)* -> .
% 299.85/300.43  247941[17:MRR:247857.1,641.0] || subclass(domain_relation,rest_relation) subclass(rest_relation,complement(u)) member(ordered_pair(ordered_pair(v,w),identity_relation),u)* -> .
% 299.85/300.43  247942[17:MRR:247856.1,12.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,complement(u)) member(ordered_pair(unordered_pair(v,w),identity_relation),u)* -> .
% 299.85/300.43  247943[17:MRR:247855.1,12.0] || subclass(domain_relation,rest_relation) subclass(rest_relation,complement(u)) member(ordered_pair(unordered_pair(v,w),identity_relation),u)* -> .
% 299.85/300.43  247950[0:MRR:247949.0,226257.1] || equal(compose(u,v),rest_of(v))** member(v,universal_class) subclass(rest_relation,complement(compose_class(u)))* -> .
% 299.85/300.43  248200[7:Rew:118446.0,248087.0,22454.0,248087.0] ||  -> equal(symmetric_difference(intersection(u,complement(singleton(identity_relation))),singleton(identity_relation)),union(intersection(u,complement(singleton(identity_relation))),singleton(identity_relation)))**.
% 299.85/300.43  248351[14:SpL:20365.2,178055.0] || member(u,universal_class) subclass(rest_relation,rest_of(v))* subclass(omega,rest_of(u))* -> member(identity_relation,v).
% 299.85/300.43  248352[14:SpL:20365.2,178675.0] || member(u,universal_class)* subclass(rest_relation,rest_of(v))* equal(rest_of(u),omega) -> member(identity_relation,v).
% 299.85/300.43  248361[0:SpL:20365.2,596.0] || member(u,universal_class) subclass(rest_relation,rest_of(v))* member(w,rest_of(u))* -> member(w,v)*.
% 299.85/300.43  248479[0:SpR:21036.0,8337.0] ||  -> subclass(symmetric_difference(symmetrization_of(u),union(complement(u),complement(inverse(u)))),complement(symmetric_difference(complement(u),complement(inverse(u)))))*.
% 299.85/300.43  248559[5:SpL:21036.0,5467.0] || subclass(omega,symmetric_difference(complement(u),complement(inverse(u))))* -> equal(integer_of(v),identity_relation) member(v,symmetrization_of(u))*.
% 299.85/300.43  248575[5:SpL:21036.0,5321.0] || subclass(u,symmetric_difference(complement(v),complement(inverse(v))))* -> equal(u,identity_relation) member(regular(u),symmetrization_of(v)).
% 299.85/300.43  248849[5:Obv:248839.2] || subclass(omega,u) member(v,singleton(u))* -> equal(integer_of(v),identity_relation) equal(singleton(u),identity_relation).
% 299.85/300.43  249095[5:Rew:118446.0,248986.0,22454.0,248986.0] ||  -> equal(symmetric_difference(intersection(u,complement(inverse(identity_relation))),symmetrization_of(identity_relation)),union(intersection(u,complement(inverse(identity_relation))),symmetrization_of(identity_relation)))**.
% 299.85/300.43  249273[0:Rew:249197.0,21251.2] || member(u,universal_class) subclass(power_class(v),w)* -> member(u,complement(power_class(v)))* member(u,w)*.
% 299.85/300.43  249298[5:Rew:249197.0,246397.0] ||  -> equal(symmetric_difference(intersection(complement(u),power_class(complement(power_class(v)))),complement(union(u,image(element_relation,power_class(v))))),identity_relation)**.
% 299.85/300.43  249314[7:Rew:249197.0,246419.0] ||  -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))* member(identity_relation,union(u,image(element_relation,power_class(v)))).
% 299.85/300.43  249447[0:Rew:249197.0,235067.0] ||  -> member(not_subclass_element(u,image(element_relation,power_class(v))),power_class(complement(power_class(v))))* subclass(u,image(element_relation,power_class(v))).
% 299.85/300.43  249488[5:Rew:249197.0,235229.1] || well_ordering(u,universal_class) member(least(u,power_class(v)),complement(power_class(v)))* -> equal(power_class(v),identity_relation).
% 299.85/300.43  249490[0:Rew:249197.0,236522.0] || member(not_subclass_element(intersection(u,power_class(v)),w),complement(power_class(v)))* -> subclass(intersection(u,power_class(v)),w).
% 299.85/300.43  249491[0:Rew:249197.0,237042.2] || equal(u,power_class(v))* member(w,universal_class) -> member(w,complement(power_class(v)))* member(w,u)*.
% 299.85/300.43  249503[5:Rew:249197.0,245031.0] ||  -> equal(intersection(intersection(u,intersection(power_class(v),complement(inverse(complement(power_class(v)))))),symmetrization_of(complement(power_class(v)))),identity_relation)**.
% 299.85/300.43  249519[5:Rew:249197.0,245445.0] ||  -> equal(intersection(intersection(u,intersection(power_class(v),complement(singleton(complement(power_class(v)))))),successor(complement(power_class(v)))),identity_relation)**.
% 299.85/300.43  249631[17:Rew:249197.0,234083.0] || subclass(domain_relation,power_class(complement(power_class(u)))) member(singleton(singleton(singleton(identity_relation))),image(element_relation,power_class(u)))* -> .
% 299.85/300.43  249635[9:Rew:249197.0,234093.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(regular(complement(symmetrization_of(identity_relation))),image(element_relation,power_class(u)))* -> .
% 299.85/300.43  249636[10:Rew:249197.0,234092.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(regular(complement(power_class(universal_class))),image(element_relation,power_class(u)))* -> .
% 299.85/300.43  249637[11:Rew:249197.0,234091.0] || subclass(universal_class,power_class(complement(power_class(u)))) member(regular(complement(power_class(identity_relation))),image(element_relation,power_class(u)))* -> .
% 299.85/300.43  249672[5:Rew:249197.0,245972.0] ||  -> equal(symmetric_difference(intersection(power_class(complement(power_class(u))),complement(v)),complement(union(image(element_relation,power_class(u)),v))),identity_relation)**.
% 299.85/300.43  249688[7:Rew:249197.0,245994.0] ||  -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))* member(identity_relation,union(image(element_relation,power_class(u)),v)).
% 299.85/300.43  249777[0:Rew:249197.0,9142.0] ||  -> subclass(symmetric_difference(power_class(complement(power_class(u))),complement(inverse(image(element_relation,power_class(u))))),symmetrization_of(image(element_relation,power_class(u))))*.
% 299.85/300.43  249778[0:Rew:249197.0,9157.0] ||  -> subclass(symmetric_difference(power_class(complement(power_class(u))),complement(singleton(image(element_relation,power_class(u))))),successor(image(element_relation,power_class(u))))*.
% 299.85/300.43  249815[20:Rew:249197.0,234094.0] || subclass(symmetrization_of(identity_relation),power_class(complement(power_class(u)))) member(regular(symmetrization_of(identity_relation)),image(element_relation,power_class(u)))* -> .
% 299.85/300.43  249835[5:Rew:249197.0,233282.0] || member(regular(image(element_relation,power_class(u))),power_class(complement(power_class(u))))* -> equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.43  249836[15:Rew:249197.0,234085.0] || equal(power_class(complement(power_class(u))),singleton(singleton(identity_relation))) member(singleton(identity_relation),image(element_relation,power_class(u)))* -> .
% 299.85/300.43  249837[20:Rew:249197.0,234095.0] || subclass(inverse(identity_relation),power_class(complement(power_class(u)))) member(regular(symmetrization_of(identity_relation)),image(element_relation,power_class(u)))* -> .
% 299.85/300.43  249852[7:Rew:249197.0,246056.0] ||  -> equal(union(image(element_relation,power_class(u)),complement(singleton(identity_relation))),complement(intersection(power_class(complement(power_class(u))),singleton(identity_relation))))**.
% 299.85/300.43  249853[5:Rew:249197.0,246057.0] ||  -> equal(union(image(element_relation,power_class(u)),complement(inverse(identity_relation))),complement(intersection(power_class(complement(power_class(u))),symmetrization_of(identity_relation))))**.
% 299.85/300.43  249862[7:Rew:249197.0,246508.0] ||  -> equal(union(complement(singleton(identity_relation)),image(element_relation,power_class(u))),complement(intersection(singleton(identity_relation),power_class(complement(power_class(u))))))**.
% 299.85/300.43  249863[5:Rew:249197.0,246509.0] ||  -> equal(union(complement(inverse(identity_relation)),image(element_relation,power_class(u))),complement(intersection(symmetrization_of(identity_relation),power_class(complement(power_class(u))))))**.
% 299.85/300.43  249874[5:Rew:249197.0,229170.0] || subclass(omega,complement(power_class(u))) -> equal(integer_of(not_subclass_element(power_class(u),v)),identity_relation)** subclass(power_class(u),v).
% 299.85/300.43  250035[0:Rew:249197.0,50223.0] ||  -> equal(power_class(intersection(power_class(u),complement(inverse(complement(power_class(u)))))),complement(image(element_relation,symmetrization_of(complement(power_class(u))))))**.
% 299.85/300.43  250044[5:Rew:249197.0,244970.0] ||  -> equal(symmetric_difference(universal_class,intersection(power_class(u),complement(inverse(complement(power_class(u)))))),intersection(symmetrization_of(complement(power_class(u))),universal_class))**.
% 299.85/300.43  250045[5:Rew:249197.0,245012.0] ||  -> equal(intersection(symmetrization_of(complement(power_class(u))),intersection(v,intersection(power_class(u),complement(inverse(complement(power_class(u))))))),identity_relation)**.
% 299.85/300.43  250046[5:Rew:249197.0,245013.0] ||  -> equal(intersection(symmetrization_of(complement(power_class(u))),intersection(intersection(power_class(u),complement(inverse(complement(power_class(u))))),v)),identity_relation)**.
% 299.85/300.43  250047[5:Rew:249197.0,245014.0] ||  -> equal(intersection(intersection(intersection(power_class(u),complement(inverse(complement(power_class(u))))),v),symmetrization_of(complement(power_class(u)))),identity_relation)**.
% 299.85/300.43  250160[0:Rew:249197.0,50134.0] ||  -> equal(power_class(intersection(power_class(u),complement(singleton(complement(power_class(u)))))),complement(image(element_relation,successor(complement(power_class(u))))))**.
% 299.85/300.43  250169[5:Rew:249197.0,245383.0] ||  -> equal(symmetric_difference(universal_class,intersection(power_class(u),complement(singleton(complement(power_class(u)))))),intersection(successor(complement(power_class(u))),universal_class))**.
% 299.85/300.43  250170[5:Rew:249197.0,245426.0] ||  -> equal(intersection(successor(complement(power_class(u))),intersection(v,intersection(power_class(u),complement(singleton(complement(power_class(u))))))),identity_relation)**.
% 299.85/300.43  250171[5:Rew:249197.0,245427.0] ||  -> equal(intersection(successor(complement(power_class(u))),intersection(intersection(power_class(u),complement(singleton(complement(power_class(u))))),v)),identity_relation)**.
% 299.85/300.43  250172[5:Rew:249197.0,245428.0] ||  -> equal(intersection(intersection(intersection(power_class(u),complement(singleton(complement(power_class(u))))),v),successor(complement(power_class(u)))),identity_relation)**.
% 299.85/300.43  250236[0:Rew:249197.0,236917.0] || member(not_subclass_element(intersection(power_class(u),v),w),complement(power_class(u)))* -> subclass(intersection(power_class(u),v),w).
% 299.85/300.43  250363[5:Rew:250258.0,217474.1] || equal(union(intersection(complement(u),power_class(identity_relation)),identity_relation),identity_relation)** -> member(identity_relation,union(u,complement(power_class(identity_relation)))).
% 299.85/300.43  250463[11:Rew:250258.0,226826.1] || subclass(omega,intersection(complement(u),power_class(identity_relation))) -> equal(integer_of(regular(union(u,complement(power_class(identity_relation))))),identity_relation)**.
% 299.85/300.43  250713[11:Rew:250502.0,226194.1] || subclass(omega,intersection(power_class(identity_relation),complement(u))) -> equal(integer_of(regular(union(complement(power_class(identity_relation)),u))),identity_relation)**.
% 299.85/300.43  250825[0:Rew:249197.0,249403.1] ||  -> member(not_subclass_element(u,power_class(complement(power_class(v)))),image(element_relation,power_class(v)))* subclass(u,power_class(complement(power_class(v)))).
% 299.85/300.43  250828[0:Rew:249197.0,249499.1] ||  -> member(u,intersection(power_class(v),complement(inverse(complement(power_class(v))))))* subclass(singleton(u),symmetrization_of(complement(power_class(v)))).
% 299.85/300.43  250829[0:Rew:249197.0,249502.1] || member(u,symmetric_difference(power_class(v),complement(inverse(complement(power_class(v))))))* -> member(u,symmetrization_of(complement(power_class(v)))).
% 299.85/300.43  250830[0:Rew:249197.0,249515.1] ||  -> member(u,intersection(power_class(v),complement(singleton(complement(power_class(v))))))* subclass(singleton(u),successor(complement(power_class(v)))).
% 299.85/300.43  250831[0:Rew:249197.0,249518.1] || member(u,symmetric_difference(power_class(v),complement(singleton(complement(power_class(v))))))* -> member(u,successor(complement(power_class(v)))).
% 299.85/300.43  250839[5:Rew:249197.0,249969.1] || equal(symmetrization_of(complement(power_class(u))),identity_relation) -> equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),universal_class)**.
% 299.85/300.43  250840[5:Rew:249197.0,249978.1] || equal(symmetrization_of(complement(power_class(u))),universal_class) -> equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),identity_relation)**.
% 299.85/300.43  250841[5:Rew:249197.0,249979.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),identity_relation)** -> equal(symmetrization_of(complement(power_class(u))),universal_class).
% 299.85/300.43  250842[5:Rew:249197.0,249986.0] || equal(inverse(complement(power_class(u))),identity_relation) -> equal(complement(intersection(power_class(u),universal_class)),symmetrization_of(complement(power_class(u))))**.
% 299.85/300.43  250843[7:Rew:249197.0,249993.1] || well_ordering(universal_class,symmetrization_of(complement(power_class(u)))) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250844[7:Rew:249197.0,250000.1] || subclass(symmetrization_of(complement(power_class(u))),identity_relation) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250845[5:Rew:249197.0,250001.1] || subclass(symmetrization_of(complement(power_class(u))),identity_relation) -> member(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250846[5:Rew:249197.0,250086.0] || equal(singleton(complement(power_class(u))),identity_relation) -> equal(complement(intersection(power_class(u),universal_class)),successor(complement(power_class(u))))**.
% 299.85/300.43  250847[5:Rew:249197.0,250096.1] || equal(successor(complement(power_class(u))),identity_relation) -> equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),universal_class)**.
% 299.85/300.43  250848[5:Rew:249197.0,250105.1] || equal(successor(complement(power_class(u))),universal_class) -> equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),identity_relation)**.
% 299.85/300.43  250849[5:Rew:249197.0,250106.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),identity_relation)** -> equal(successor(complement(power_class(u))),universal_class).
% 299.85/300.43  250850[7:Rew:249197.0,250118.1] || well_ordering(universal_class,successor(complement(power_class(u)))) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250851[7:Rew:249197.0,250125.1] || subclass(successor(complement(power_class(u))),identity_relation) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250852[5:Rew:249197.0,250126.1] || subclass(successor(complement(power_class(u))),identity_relation) -> member(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  251286[0:SpR:249204.0,941.0] ||  -> equal(intersection(union(u,complement(power_class(v))),union(complement(u),power_class(v))),symmetric_difference(complement(u),power_class(v)))**.
% 299.85/300.43  251288[0:SpR:249204.0,580.0] ||  -> equal(complement(intersection(union(u,complement(power_class(v))),complement(w))),union(intersection(complement(u),power_class(v)),w))**.
% 299.85/300.43  251291[0:SpR:249204.0,581.0] ||  -> equal(complement(intersection(complement(u),union(complement(power_class(v)),w))),union(u,intersection(power_class(v),complement(w))))**.
% 299.85/300.43  251297[0:SpR:249204.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,complement(power_class(w))))),union(u,intersection(complement(v),power_class(w))))**.
% 299.85/300.43  251755[0:SpR:249197.0,827.3] function(element_relation) || member(complement(u),universal_class) subclass(universal_class,v) -> member(complement(power_class(u)),v)*.
% 299.85/300.43  251906[5:Rew:251767.0,248073.0] ||  -> equal(symmetric_difference(power_class(universal_class),intersection(complement(power_class(universal_class)),u)),union(power_class(universal_class),intersection(complement(power_class(universal_class)),u)))**.
% 299.85/300.43  251912[5:Rew:251767.0,247444.0] ||  -> equal(symmetric_difference(power_class(universal_class),intersection(u,complement(power_class(universal_class)))),union(power_class(universal_class),intersection(u,complement(power_class(universal_class)))))**.
% 299.85/300.43  252044[5:Rew:251768.0,225812.1] || equal(identity_relation,u) subclass(universal_class,complement(power_class(identity_relation))) member(unordered_pair(v,w),power_class(u))* -> .
% 299.85/300.43  252100[5:Rew:251768.0,247839.0] ||  -> equal(symmetric_difference(power_class(identity_relation),intersection(complement(power_class(identity_relation)),u)),union(power_class(identity_relation),intersection(complement(power_class(identity_relation)),u)))**.
% 299.85/300.43  252107[5:Rew:251768.0,247162.0] ||  -> equal(symmetric_difference(power_class(identity_relation),intersection(u,complement(power_class(identity_relation)))),union(power_class(identity_relation),intersection(u,complement(power_class(identity_relation)))))**.
% 299.85/300.43  252132[5:Rew:251768.0,202909.2] || equal(identity_relation,u) member(v,universal_class) -> member(v,complement(power_class(identity_relation)))* member(v,power_class(u))*.
% 299.85/300.43  252165[5:Rew:251768.0,229142.1] || equal(identity_relation,u) member(not_subclass_element(power_class(u),v),complement(power_class(identity_relation)))* -> subclass(power_class(u),v).
% 299.85/300.43  252166[5:Rew:251768.0,215978.1] || equal(identity_relation,u) member(not_subclass_element(power_class(u),v),complement(power_class(identity_relation)))* -> subclass(power_class(identity_relation),v).
% 299.85/300.43  252181[5:Rew:251768.0,229175.1] || equal(identity_relation,u) member(not_subclass_element(power_class(identity_relation),v),complement(power_class(identity_relation)))* -> subclass(power_class(u),v)*.
% 299.85/300.43  252518[5:Rew:251768.0,252188.2] || equal(identity_relation,u) -> member(not_subclass_element(v,complement(power_class(identity_relation))),power_class(u))* subclass(v,complement(power_class(identity_relation))).
% 299.85/300.43  252656[0:SpR:249200.0,47693.0] ||  -> subclass(complement(union(intersection(complement(u),power_class(v)),w)),intersection(union(u,complement(power_class(v))),complement(w)))*.
% 299.85/300.43  252661[5:SpR:249200.0,203762.1] || equal(union(intersection(complement(u),power_class(v)),identity_relation),identity_relation)** -> member(omega,union(u,complement(power_class(v)))).
% 299.85/300.43  252662[5:SpR:249200.0,144786.1] || equal(symmetric_difference(universal_class,intersection(complement(u),power_class(v))),universal_class)** -> member(omega,union(u,complement(power_class(v)))).
% 299.85/300.43  252670[14:SpR:249200.0,178692.1] || equal(symmetric_difference(universal_class,intersection(complement(u),power_class(v))),omega)** -> member(identity_relation,union(u,complement(power_class(v)))).
% 299.85/300.43  252671[5:SpR:249200.0,124837.1] || equal(symmetric_difference(universal_class,intersection(complement(u),power_class(v))),universal_class)** -> member(identity_relation,union(u,complement(power_class(v)))).
% 299.85/300.43  252702[0:SpR:249200.0,47693.0] ||  -> subclass(complement(union(u,intersection(complement(v),power_class(w)))),intersection(complement(u),union(v,complement(power_class(w)))))*.
% 299.85/300.43  252735[7:SpR:189471.0,249200.0] ||  -> equal(union(image(element_relation,singleton(identity_relation)),complement(power_class(u))),complement(intersection(power_class(complement(singleton(identity_relation))),power_class(u))))**.
% 299.85/300.43  252737[5:SpR:122494.0,249200.0] ||  -> equal(union(image(element_relation,symmetrization_of(identity_relation)),complement(power_class(u))),complement(intersection(power_class(complement(inverse(identity_relation))),power_class(u))))**.
% 299.85/300.43  252752[5:SpL:249200.0,146252.0] || subclass(universal_class,union(u,complement(power_class(v)))) -> equal(symmetric_difference(universal_class,intersection(complement(u),power_class(v))),universal_class)**.
% 299.85/300.43  252773[0:SpL:249200.0,111306.0] || equal(complement(union(u,complement(power_class(v)))),universal_class) well_ordering(universal_class,intersection(complement(u),power_class(v)))* -> .
% 299.85/300.43  252776[5:SpL:249200.0,218119.0] || subclass(universal_class,complement(union(u,complement(power_class(v))))) -> member(power_class(identity_relation),intersection(complement(u),power_class(v)))*.
% 299.85/300.43  252779[0:SpL:249200.0,3634.0] || subclass(universal_class,complement(union(u,complement(power_class(v))))) -> member(singleton(w),intersection(complement(u),power_class(v)))*.
% 299.85/300.43  252786[7:SpL:249200.0,189307.0] || equal(complement(union(u,complement(power_class(v)))),singleton(identity_relation)) -> member(identity_relation,intersection(complement(u),power_class(v)))*.
% 299.85/300.43  252788[5:SpL:249200.0,222635.0] || equal(complement(complement(union(u,complement(power_class(v))))),identity_relation)** -> member(omega,intersection(complement(u),power_class(v))).
% 299.85/300.43  252789[5:SpL:249200.0,222523.0] || equal(complement(complement(union(u,complement(power_class(v))))),identity_relation)** -> member(identity_relation,intersection(complement(u),power_class(v))).
% 299.85/300.43  252803[14:SpL:249200.0,178298.1] || equal(intersection(complement(u),power_class(v)),singleton(identity_relation))** equal(union(u,complement(power_class(v))),omega) -> .
% 299.85/300.43  252810[7:SpL:249200.0,189302.1] || equal(intersection(complement(u),power_class(v)),universal_class)** equal(union(u,complement(power_class(v))),singleton(identity_relation)) -> .
% 299.85/300.43  252811[14:SpL:249200.0,189298.1] || equal(intersection(complement(u),power_class(v)),omega)** equal(union(u,complement(power_class(v))),singleton(identity_relation)) -> .
% 299.85/300.43  252814[7:SpL:249200.0,189483.0] || subclass(singleton(identity_relation),union(u,complement(power_class(v))))* member(identity_relation,intersection(complement(u),power_class(v))) -> .
% 299.85/300.43  252815[5:SpL:249200.0,219429.1] || equal(symmetrization_of(intersection(complement(u),power_class(v))),identity_relation) subclass(union(u,complement(power_class(v))),identity_relation)* -> .
% 299.85/300.43  252816[5:SpL:249200.0,219414.0] || subclass(union(u,complement(power_class(v))),identity_relation) -> equal(complement(symmetrization_of(intersection(complement(u),power_class(v)))),identity_relation)**.
% 299.85/300.43  252817[5:SpL:249200.0,219370.0] || subclass(union(u,complement(power_class(v))),identity_relation) subclass(successor(intersection(complement(u),power_class(v))),identity_relation)* -> .
% 299.85/300.43  252818[5:SpL:249200.0,219326.1] || equal(successor(intersection(complement(u),power_class(v))),identity_relation) subclass(union(u,complement(power_class(v))),identity_relation)* -> .
% 299.85/300.43  252819[5:SpL:249200.0,219310.0] || subclass(union(u,complement(power_class(v))),identity_relation) -> equal(complement(successor(intersection(complement(u),power_class(v)))),identity_relation)**.
% 299.85/300.43  252820[5:SpL:249200.0,207228.0] || subclass(union(u,complement(power_class(v))),identity_relation) -> equal(symmetric_difference(universal_class,intersection(complement(u),power_class(v))),identity_relation)**.
% 299.85/300.43  252824[20:SpL:249200.0,220259.1] || subclass(universal_class,intersection(complement(u),power_class(v))) subclass(symmetrization_of(identity_relation),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  252825[5:SpL:249200.0,222758.0] || equal(union(union(u,complement(power_class(v))),identity_relation),identity_relation)** -> member(identity_relation,intersection(complement(u),power_class(v))).
% 299.85/300.43  252826[5:SpL:249200.0,222741.0] || equal(union(union(u,complement(power_class(v))),identity_relation),identity_relation)** -> member(omega,intersection(complement(u),power_class(v))).
% 299.85/300.43  252827[5:SpL:249200.0,222760.0] || equal(symmetric_difference(universal_class,union(u,complement(power_class(v)))),universal_class)** -> member(identity_relation,intersection(complement(u),power_class(v))).
% 299.85/300.43  252828[5:SpL:249200.0,222742.0] || equal(symmetric_difference(universal_class,union(u,complement(power_class(v)))),universal_class)** -> member(omega,intersection(complement(u),power_class(v))).
% 299.85/300.43  252829[14:SpL:249200.0,222759.0] || equal(symmetric_difference(universal_class,union(u,complement(power_class(v)))),omega)** -> member(identity_relation,intersection(complement(u),power_class(v))).
% 299.85/300.43  252830[20:SpL:249200.0,225873.1] || equal(intersection(complement(u),power_class(v)),universal_class)** equal(union(u,complement(power_class(v))),symmetrization_of(identity_relation)) -> .
% 299.85/300.43  252986[0:SpR:249208.0,47693.0] ||  -> subclass(complement(union(intersection(power_class(u),complement(v)),w)),intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.43  252991[5:SpR:249208.0,203762.1] || equal(union(intersection(power_class(u),complement(v)),identity_relation),identity_relation)** -> member(omega,union(complement(power_class(u)),v)).
% 299.85/300.43  252992[5:SpR:249208.0,144786.1] || equal(symmetric_difference(universal_class,intersection(power_class(u),complement(v))),universal_class)** -> member(omega,union(complement(power_class(u)),v)).
% 299.85/300.43  253000[14:SpR:249208.0,178692.1] || equal(symmetric_difference(universal_class,intersection(power_class(u),complement(v))),omega)** -> member(identity_relation,union(complement(power_class(u)),v)).
% 299.85/300.43  253001[5:SpR:249208.0,124837.1] || equal(symmetric_difference(universal_class,intersection(power_class(u),complement(v))),universal_class)** -> member(identity_relation,union(complement(power_class(u)),v)).
% 299.85/300.43  253032[0:SpR:249208.0,47693.0] ||  -> subclass(complement(union(u,intersection(power_class(v),complement(w)))),intersection(complement(u),union(complement(power_class(v)),w)))*.
% 299.85/300.43  253062[7:SpR:189471.0,249208.0] ||  -> equal(union(complement(power_class(u)),image(element_relation,singleton(identity_relation))),complement(intersection(power_class(u),power_class(complement(singleton(identity_relation))))))**.
% 299.85/300.43  253064[5:SpR:122494.0,249208.0] ||  -> equal(union(complement(power_class(u)),image(element_relation,symmetrization_of(identity_relation))),complement(intersection(power_class(u),power_class(complement(inverse(identity_relation))))))**.
% 299.85/300.43  253085[5:SpL:249208.0,146252.0] || subclass(universal_class,union(complement(power_class(u)),v)) -> equal(symmetric_difference(universal_class,intersection(power_class(u),complement(v))),universal_class)**.
% 299.85/300.43  253106[0:SpL:249208.0,111306.0] || equal(complement(union(complement(power_class(u)),v)),universal_class) well_ordering(universal_class,intersection(power_class(u),complement(v)))* -> .
% 299.85/300.43  253109[5:SpL:249208.0,218119.0] || subclass(universal_class,complement(union(complement(power_class(u)),v))) -> member(power_class(identity_relation),intersection(power_class(u),complement(v)))*.
% 299.85/300.43  253112[0:SpL:249208.0,3634.0] || subclass(universal_class,complement(union(complement(power_class(u)),v))) -> member(singleton(w),intersection(power_class(u),complement(v)))*.
% 299.85/300.43  253119[7:SpL:249208.0,189307.0] || equal(complement(union(complement(power_class(u)),v)),singleton(identity_relation)) -> member(identity_relation,intersection(power_class(u),complement(v)))*.
% 299.85/300.43  253121[5:SpL:249208.0,222635.0] || equal(complement(complement(union(complement(power_class(u)),v))),identity_relation)** -> member(omega,intersection(power_class(u),complement(v))).
% 299.85/300.43  253122[5:SpL:249208.0,222523.0] || equal(complement(complement(union(complement(power_class(u)),v))),identity_relation)** -> member(identity_relation,intersection(power_class(u),complement(v))).
% 299.85/300.43  253136[14:SpL:249208.0,178298.1] || equal(intersection(power_class(u),complement(v)),singleton(identity_relation))** equal(union(complement(power_class(u)),v),omega) -> .
% 299.85/300.43  253143[7:SpL:249208.0,189302.1] || equal(intersection(power_class(u),complement(v)),universal_class)** equal(union(complement(power_class(u)),v),singleton(identity_relation)) -> .
% 299.85/300.43  253144[14:SpL:249208.0,189298.1] || equal(intersection(power_class(u),complement(v)),omega)** equal(union(complement(power_class(u)),v),singleton(identity_relation)) -> .
% 299.85/300.43  253147[7:SpL:249208.0,189483.0] || subclass(singleton(identity_relation),union(complement(power_class(u)),v))* member(identity_relation,intersection(power_class(u),complement(v))) -> .
% 299.85/300.43  253148[5:SpL:249208.0,219429.1] || equal(symmetrization_of(intersection(power_class(u),complement(v))),identity_relation) subclass(union(complement(power_class(u)),v),identity_relation)* -> .
% 299.85/300.43  253149[5:SpL:249208.0,219414.0] || subclass(union(complement(power_class(u)),v),identity_relation) -> equal(complement(symmetrization_of(intersection(power_class(u),complement(v)))),identity_relation)**.
% 299.85/300.43  253150[5:SpL:249208.0,219370.0] || subclass(union(complement(power_class(u)),v),identity_relation) subclass(successor(intersection(power_class(u),complement(v))),identity_relation)* -> .
% 299.85/300.43  253151[5:SpL:249208.0,219326.1] || equal(successor(intersection(power_class(u),complement(v))),identity_relation) subclass(union(complement(power_class(u)),v),identity_relation)* -> .
% 299.85/300.43  253152[5:SpL:249208.0,219310.0] || subclass(union(complement(power_class(u)),v),identity_relation) -> equal(complement(successor(intersection(power_class(u),complement(v)))),identity_relation)**.
% 299.85/300.43  253153[5:SpL:249208.0,207228.0] || subclass(union(complement(power_class(u)),v),identity_relation) -> equal(symmetric_difference(universal_class,intersection(power_class(u),complement(v))),identity_relation)**.
% 299.85/300.43  253157[20:SpL:249208.0,220259.1] || subclass(universal_class,intersection(power_class(u),complement(v))) subclass(symmetrization_of(identity_relation),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  253158[5:SpL:249208.0,222758.0] || equal(union(union(complement(power_class(u)),v),identity_relation),identity_relation)** -> member(identity_relation,intersection(power_class(u),complement(v))).
% 299.85/300.43  253159[5:SpL:249208.0,222741.0] || equal(union(union(complement(power_class(u)),v),identity_relation),identity_relation)** -> member(omega,intersection(power_class(u),complement(v))).
% 299.85/300.43  253160[5:SpL:249208.0,222760.0] || equal(symmetric_difference(universal_class,union(complement(power_class(u)),v)),universal_class)** -> member(identity_relation,intersection(power_class(u),complement(v))).
% 299.85/300.43  253161[5:SpL:249208.0,222742.0] || equal(symmetric_difference(universal_class,union(complement(power_class(u)),v)),universal_class)** -> member(omega,intersection(power_class(u),complement(v))).
% 299.85/300.43  253162[14:SpL:249208.0,222759.0] || equal(symmetric_difference(universal_class,union(complement(power_class(u)),v)),omega)** -> member(identity_relation,intersection(power_class(u),complement(v))).
% 299.85/300.43  253163[20:SpL:249208.0,225873.1] || equal(intersection(power_class(u),complement(v)),universal_class)** equal(union(complement(power_class(u)),v),symmetrization_of(identity_relation)) -> .
% 299.85/300.43  253358[5:SpL:203228.1,249213.0] || equal(identity_relation,u) member(not_subclass_element(power_class(u),v),complement(power_class(u)))* -> subclass(power_class(identity_relation),v).
% 299.85/300.43  253456[17:Res:195614.1,249201.0] || subclass(domain_relation,image(element_relation,power_class(u))) member(singleton(singleton(singleton(identity_relation))),power_class(complement(power_class(u))))* -> .
% 299.85/300.43  253458[15:Res:192110.1,249201.0] || equal(image(element_relation,power_class(u)),singleton(singleton(identity_relation))) member(singleton(identity_relation),power_class(complement(power_class(u))))* -> .
% 299.85/300.43  253464[11:Res:207964.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(regular(complement(power_class(identity_relation))),power_class(complement(power_class(u))))* -> .
% 299.85/300.43  253465[10:Res:208146.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(regular(complement(power_class(universal_class))),power_class(complement(power_class(u))))* -> .
% 299.85/300.43  253466[9:Res:207805.1,249201.0] || subclass(universal_class,image(element_relation,power_class(u))) member(regular(complement(symmetrization_of(identity_relation))),power_class(complement(power_class(u))))* -> .
% 299.85/300.43  253467[20:Res:214397.1,249201.0] || subclass(symmetrization_of(identity_relation),image(element_relation,power_class(u))) member(regular(symmetrization_of(identity_relation)),power_class(complement(power_class(u))))* -> .
% 299.85/300.43  253468[20:Res:212352.1,249201.0] || subclass(inverse(identity_relation),image(element_relation,power_class(u))) member(regular(symmetrization_of(identity_relation)),power_class(complement(power_class(u))))* -> .
% 299.85/300.43  253560[5:SpL:253274.0,7606.2] || member(complement(power_class(universal_class)),universal_class) subclass(universal_class,complement(u)) member(apply(element_relation,universal_class),u)* -> .
% 299.85/300.43  253627[5:Rew:253061.0,253610.1] || equal(power_class(u),universal_class) -> equal(complement(intersection(power_class(v),power_class(u))),complement(intersection(power_class(v),universal_class)))**.
% 299.85/300.43  254026[7:SpR:251758.0,9005.0] ||  -> subclass(symmetric_difference(image(element_relation,singleton(identity_relation)),complement(singleton(power_class(complement(singleton(identity_relation)))))),successor(power_class(complement(singleton(identity_relation)))))*.
% 299.85/300.43  254043[7:SpR:251758.0,9004.0] ||  -> subclass(symmetric_difference(image(element_relation,singleton(identity_relation)),complement(inverse(power_class(complement(singleton(identity_relation)))))),symmetrization_of(power_class(complement(singleton(identity_relation)))))*.
% 299.85/300.43  254080[7:SpR:251758.0,249200.0] ||  -> equal(union(power_class(complement(singleton(identity_relation))),complement(power_class(u))),complement(intersection(image(element_relation,singleton(identity_relation)),power_class(u))))**.
% 299.85/300.43  254093[7:SpR:251758.0,249208.0] ||  -> equal(union(complement(power_class(u)),power_class(complement(singleton(identity_relation)))),complement(intersection(power_class(u),image(element_relation,singleton(identity_relation)))))**.
% 299.85/300.43  254283[5:SpR:251759.0,9005.0] ||  -> subclass(symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(singleton(power_class(complement(inverse(identity_relation)))))),successor(power_class(complement(inverse(identity_relation)))))*.
% 299.85/300.43  254300[5:SpR:251759.0,9004.0] ||  -> subclass(symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(inverse(power_class(complement(inverse(identity_relation)))))),symmetrization_of(power_class(complement(inverse(identity_relation)))))*.
% 299.85/300.43  254337[5:SpR:251759.0,249200.0] ||  -> equal(union(power_class(complement(inverse(identity_relation))),complement(power_class(u))),complement(intersection(image(element_relation,symmetrization_of(identity_relation)),power_class(u))))**.
% 299.85/300.43  254350[5:SpR:251759.0,249208.0] ||  -> equal(union(complement(power_class(u)),power_class(complement(inverse(identity_relation)))),complement(intersection(power_class(u),image(element_relation,symmetrization_of(identity_relation)))))**.
% 299.85/300.43  254681[7:Rew:118446.0,254560.0,22454.0,254560.0] ||  -> equal(symmetric_difference(intersection(complement(singleton(identity_relation)),u),singleton(identity_relation)),union(intersection(complement(singleton(identity_relation)),u),singleton(identity_relation)))**.
% 299.85/300.43  254728[5:Res:249285.1,204710.1] || member(u,universal_class) subclass(image(element_relation,power_class(v)),identity_relation) -> member(u,power_class(complement(power_class(v))))*.
% 299.85/300.43  255113[15:Rew:119684.0,255085.0,22454.0,255085.0] || subclass(universal_class,symmetric_difference(universal_class,sum_class(range_of(identity_relation)))) member(unordered_pair(u,v),successor(sum_class(range_of(identity_relation))))* -> .
% 299.85/300.43  255310[5:Res:205098.1,7570.0] || equal(identity_relation,u) subclass(universal_class,v)* subclass(v,w)* -> member(power_class(power_class(u)),w)*.
% 299.85/300.43  255311[0:Res:57.1,7570.0] || member(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(power_class(power_class(u)),w)*.
% 299.85/300.43  255313[0:Res:29531.1,7570.0] || subclass(universal_class,u)* subclass(u,v)* -> subclass(w,x) member(power_class(not_subclass_element(w,x)),v)*.
% 299.85/300.43  255315[0:Res:55.1,7570.0] || member(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(power_class(sum_class(u)),w)*.
% 299.85/300.43  255317[0:Res:7512.1,7570.0] function(u) || subclass(universal_class,v)* subclass(v,w)* -> member(power_class(apply(u,x)),w)*.
% 299.85/300.43  255322[0:Res:226257.1,7570.0] || member(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(power_class(rest_of(u)),w)*.
% 299.85/300.43  255525[17:Rew:209320.1,255512.1] function(u) ||  -> equal(cross_product(v,identity_relation),identity_relation) equal(segment(regular(cross_product(v,identity_relation)),v,u),identity_relation)**.
% 299.85/300.43  255968[5:Rew:118446.0,255849.0,22454.0,255849.0] ||  -> equal(symmetric_difference(intersection(complement(inverse(identity_relation)),u),symmetrization_of(identity_relation)),union(intersection(complement(inverse(identity_relation)),u),symmetrization_of(identity_relation)))**.
% 299.85/300.43  256217[5:Obv:256107.2] || subclass(singleton(u),regular(v))* member(u,v) -> equal(singleton(u),identity_relation) equal(v,identity_relation).
% 299.85/300.43  256219[5:MRR:256131.0,29542.1] || subclass(u,regular(unordered_pair(v,regular(u))))* -> equal(u,identity_relation) equal(unordered_pair(v,regular(u)),identity_relation).
% 299.85/300.43  256220[5:MRR:256130.0,29542.1] || subclass(u,regular(unordered_pair(regular(u),v)))* -> equal(u,identity_relation) equal(unordered_pair(regular(u),v),identity_relation).
% 299.85/300.43  256223[5:Obv:256164.1] || subclass(restrict(u,v,w),regular(u))* -> equal(restrict(u,v,w),identity_relation) equal(u,identity_relation).
% 299.85/300.43  256323[5:Obv:256303.1] || subclass(unordered_pair(u,v),v)* -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.43  256324[5:Obv:256302.1] || subclass(unordered_pair(u,v),u)* -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.43  256338[5:Obv:256332.1] || equal(unordered_pair(u,v),v) -> equal(regular(unordered_pair(u,v)),u)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.43  256339[5:Obv:256331.1] || equal(unordered_pair(u,v),u) -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.43  256450[5:MRR:256360.0,16080.1] ||  -> member(intersection(complement(u),complement(v)),union(u,v))* equal(singleton(intersection(complement(u),complement(v))),identity_relation).
% 299.85/300.43  256528[5:Res:205098.1,7605.0] || equal(identity_relation,u) subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(power_class(u)),w)*.
% 299.85/300.43  256529[0:Res:57.1,7605.0] || member(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(power_class(u)),w)*.
% 299.85/300.43  256531[0:Res:29531.1,7605.0] || subclass(universal_class,u)* subclass(u,v)* -> subclass(w,x) member(sum_class(not_subclass_element(w,x)),v)*.
% 299.85/300.43  256533[0:Res:55.1,7605.0] || member(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(sum_class(u)),w)*.
% 299.85/300.43  256535[0:Res:7512.1,7605.0] function(u) || subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(apply(u,x)),w)*.
% 299.85/300.43  256540[0:Res:226257.1,7605.0] || member(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(rest_of(u)),w)*.
% 299.85/300.43  256664[17:Rew:209320.1,256635.2] function(u) || subclass(apply(v,u),image(v,identity_relation))* -> section(element_relation,image(v,identity_relation),universal_class).
% 299.85/300.43  256838[0:Res:119650.1,251410.0] || equal(intersection(power_class(u),complement(v)),universal_class) member(singleton(w),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  256839[0:Res:763.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(singleton(w),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  256853[5:Res:205150.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(power_class(identity_relation),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  256895[7:Res:125624.1,251410.0] || equal(intersection(power_class(u),complement(v)),singleton(identity_relation)) member(identity_relation,union(complement(power_class(u)),v))* -> .
% 299.85/300.43  257030[0:Res:119650.1,251419.0] || equal(intersection(complement(u),power_class(v)),universal_class) member(singleton(w),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257031[0:Res:763.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(singleton(w),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257045[5:Res:205150.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(power_class(identity_relation),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257087[7:Res:125624.1,251419.0] || equal(intersection(complement(u),power_class(v)),singleton(identity_relation)) member(identity_relation,union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257188[5:Res:203247.1,20569.2] || equal(complement(union(u,v)),identity_relation)** member(omega,complement(v)) member(omega,complement(u)) -> .
% 299.85/300.43  257244[5:Res:203246.1,20569.2] || equal(complement(union(u,v)),identity_relation)** member(identity_relation,complement(v)) member(identity_relation,complement(u)) -> .
% 299.85/300.43  257247[7:Res:125624.1,20569.2] || equal(union(u,v),singleton(identity_relation))** member(identity_relation,complement(v))* member(identity_relation,complement(u))* -> .
% 299.85/300.43  257329[5:SpR:257295.1,123927.2] inductive(not_subclass_element(u,v)) || subclass(u,omega) -> subclass(u,v) equal(not_subclass_element(u,v),identity_relation)**.
% 299.85/300.43  257338[5:SpR:257295.1,5578.1] inductive(regular(intersection(u,omega))) ||  -> equal(intersection(u,omega),identity_relation) equal(regular(intersection(u,omega)),identity_relation)**.
% 299.85/300.43  257339[5:SpR:257295.1,5603.1] inductive(regular(intersection(omega,u))) ||  -> equal(intersection(omega,u),identity_relation) equal(regular(intersection(omega,u)),identity_relation)**.
% 299.85/300.43  257429[5:SpR:47789.0,762.1] || subclass(universal_class,u) -> equal(regular(ordered_pair(v,w)),singleton(v)) member(regular(ordered_pair(v,w)),u)*.
% 299.85/300.43  257447[5:SpL:47789.0,233051.0] || equal(complement(regular(singleton(regular(ordered_pair(u,v))))),identity_relation)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.43  257448[5:SpL:47789.0,40123.0] || equal(complement(unordered_pair(regular(ordered_pair(u,v)),w)),universal_class)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.43  257449[5:SpL:47789.0,39991.0] || subclass(universal_class,complement(unordered_pair(regular(ordered_pair(u,v)),w)))* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.43  257452[5:SpL:47789.0,228778.0] || subclass(universal_class,regular(unordered_pair(regular(ordered_pair(u,v)),w)))* -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.43  257453[5:SpL:47789.0,233161.0] || equal(regular(unordered_pair(regular(ordered_pair(u,v)),w)),universal_class)** -> equal(regular(ordered_pair(u,v)),singleton(u)).
% 299.85/300.43  257504[5:SpL:47789.0,40117.0] || equal(complement(unordered_pair(u,regular(ordered_pair(v,w)))),universal_class)** -> equal(regular(ordered_pair(v,w)),singleton(v)).
% 299.85/300.43  257505[5:SpL:47789.0,39990.0] || subclass(universal_class,complement(unordered_pair(u,regular(ordered_pair(v,w)))))* -> equal(regular(ordered_pair(v,w)),singleton(v)).
% 299.85/300.43  257508[5:SpL:47789.0,228777.0] || subclass(universal_class,regular(unordered_pair(u,regular(ordered_pair(v,w)))))* -> equal(regular(ordered_pair(v,w)),singleton(v)).
% 299.85/300.43  257509[5:SpL:47789.0,232837.0] || equal(regular(unordered_pair(u,regular(ordered_pair(v,w)))),universal_class)** -> equal(regular(ordered_pair(v,w)),singleton(v)).
% 299.85/300.43  257658[5:SpL:8659.0,256425.1] || member(intersection(complement(u),complement(inverse(u))),universal_class)* subclass(universal_class,complement(image(element_relation,symmetrization_of(u)))) -> .
% 299.85/300.43  257659[5:SpL:8660.0,256425.1] || member(intersection(complement(u),complement(singleton(u))),universal_class)* subclass(universal_class,complement(image(element_relation,successor(u)))) -> .
% 299.85/300.43  257781[5:SpL:32674.2,210759.0] || equal(u,v) equal(v,universal_class) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.85/300.43  257782[5:SpL:32674.2,208733.0] || equal(u,v) member(identity_relation,v) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.85/300.43  257783[14:SpL:32674.2,208802.0] || equal(u,v) equal(v,omega) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.85/300.43  257784[14:SpL:32674.2,208807.0] || equal(u,v) subclass(omega,v) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.85/300.43  257785[5:SpL:32674.2,210764.0] || equal(u,v) subclass(universal_class,v) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation)**.
% 299.85/300.43  258105[17:Rew:118446.0,258028.3,118446.0,258028.2] || well_ordering(u,universal_class) subclass(rest_relation,domain_relation) -> equal(v,identity_relation) equal(rest_of(least(u,v)),identity_relation)**.
% 299.85/300.43  258106[17:Rew:118446.0,258027.3,118446.0,258027.2] || well_ordering(u,universal_class) subclass(domain_relation,rest_relation) -> equal(v,identity_relation) equal(rest_of(least(u,v)),identity_relation)**.
% 299.85/300.43  258109[5:Rew:118446.0,258031.3,118446.0,258031.2,118446.0,258031.1] || well_ordering(u,universal_class) equal(least(u,v),universal_class) -> equal(v,identity_relation) inductive(least(u,v))*.
% 299.85/300.43  258342[5:Res:8057.3,1054.0] || well_ordering(u,universal_class) subclass(v,singleton(w))* -> equal(v,identity_relation) equal(least(u,v),w)*.
% 299.85/300.43  258548[5:SpL:22595.0,8164.1] || member(u,symmetric_difference(range_of(v),universal_class))* subclass(complement(cantor(inverse(v))),w)* -> member(u,w)*.
% 299.85/300.43  258567[5:SpL:146057.0,8164.1] || member(u,symmetric_difference(domain_of(v),cantor(v)))* subclass(complement(cantor(v)),w)* -> member(u,w)*.
% 299.85/300.43  258602[0:SpL:27.0,8164.1] || member(u,symmetric_difference(complement(v),complement(w)))* subclass(union(v,w),x)* -> member(u,x)*.
% 299.85/300.43  258610[0:Res:63.1,8164.1] function(complement(intersection(u,v))) || member(w,symmetric_difference(u,v))* -> member(w,cross_product(universal_class,universal_class)).
% 299.85/300.43  258648[5:Rew:207319.1,258647.1] || subclass(u,identity_relation) member(v,union(u,w))* subclass(universal_class,x) -> member(v,x)*.
% 299.85/300.43  258652[5:Rew:118458.1,258651.0] || member(u,union(v,singleton(w)))* subclass(universal_class,x) -> member(w,v) member(u,x)*.
% 299.85/300.43  258653[5:Rew:22454.0,258535.1,118454.1,258535.0] || member(u,union(v,regular(v)))* subclass(universal_class,w) -> equal(v,identity_relation) member(u,w)*.
% 299.85/300.43  258655[5:Rew:207519.1,258654.1] || subclass(u,identity_relation) member(v,union(w,u))* subclass(universal_class,x) -> member(v,x)*.
% 299.85/300.43  258657[5:Rew:207136.1,258656.1] || equal(identity_relation,u) member(v,union(w,u))* subclass(universal_class,x) -> member(v,x)*.
% 299.85/300.43  258659[5:Rew:244254.0,258658.0] || member(u,union(complement(v),restrict(v,w,x)))* subclass(universal_class,y) -> member(u,y)*.
% 299.85/300.43  258661[5:Rew:239403.0,258660.0] || member(u,union(complement(complement(v)),symmetric_difference(universal_class,v)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.43  258663[5:Rew:118459.1,258662.0] || member(u,union(singleton(v),w))* subclass(universal_class,x) -> member(v,w) member(u,x)*.
% 299.85/300.43  258666[5:Rew:239241.0,258665.0] || member(u,union(complement(range_of(v)),cantor(inverse(v))))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.43  258669[5:Rew:240828.0,258668.0] || member(u,union(cantor(inverse(v)),complement(range_of(v))))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.43  258671[5:Rew:241180.0,258670.0] || member(u,union(symmetric_difference(universal_class,v),complement(complement(v))))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.43  258673[5:Rew:244389.0,258672.0] || member(u,union(restrict(v,w,x),complement(v)))* subclass(universal_class,y) -> member(u,y)*.
% 299.85/300.43  258675[7:Rew:240517.0,258674.0] || member(u,union(singleton(identity_relation),symmetric_difference(universal_class,singleton(identity_relation))))* subclass(universal_class,v) -> member(u,v)*.
% 299.85/300.43  258678[7:Rew:241284.0,258677.0] || member(u,union(symmetric_difference(universal_class,singleton(identity_relation)),singleton(identity_relation)))* subclass(universal_class,v) -> member(u,v)*.
% 299.85/300.43  258680[5:Rew:241675.0,258679.0] || member(u,union(symmetric_difference(universal_class,inverse(identity_relation)),symmetrization_of(identity_relation)))* subclass(universal_class,v) -> member(u,v)*.
% 299.85/300.43  258682[5:Rew:253846.0,258681.0] || member(u,union(symmetric_difference(universal_class,power_class(v)),power_class(v)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.43  258684[5:Rew:240614.0,258683.0] || member(u,union(symmetrization_of(identity_relation),symmetric_difference(universal_class,inverse(identity_relation))))* subclass(universal_class,v) -> member(u,v)*.
% 299.85/300.43  258686[5:Rew:253737.0,258685.0] || member(u,union(power_class(v),symmetric_difference(universal_class,power_class(v))))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.43  258907[5:SpL:8659.0,257884.0] || equal(complement(image(element_relation,symmetrization_of(u))),universal_class) -> equal(singleton(intersection(complement(u),complement(inverse(u)))),identity_relation)**.
% 299.85/300.43  258908[5:SpL:8660.0,257884.0] || equal(complement(image(element_relation,successor(u))),universal_class) -> equal(singleton(intersection(complement(u),complement(singleton(u)))),identity_relation)**.
% 299.85/300.43  259136[5:Res:256424.0,595.0] ||  -> equal(singleton(complement(restrict(u,v,w))),identity_relation) member(complement(restrict(u,v,w)),cross_product(v,w))*.
% 299.85/300.43  259371[5:Res:30856.1,204710.1] || member(u,union(v,w)) subclass(intersection(v,w),identity_relation) -> member(u,symmetric_difference(v,w))*.
% 299.85/300.43  259419[5:Rew:22457.0,259282.0] || member(u,universal_class) -> member(u,symmetric_difference(complement(v),universal_class)) member(u,symmetric_difference(union(v,identity_relation),universal_class))*.
% 299.85/300.43  259558[5:Obv:259525.2] || equal(u,v) subclass(omega,w) -> equal(integer_of(v),identity_relation) subclass(unordered_pair(v,u),w)*.
% 299.85/300.43  259567[0:Obv:259538.2] || equal(u,v) member(v,w) -> subclass(unordered_pair(v,u),intersection(w,unordered_pair(v,u)))*.
% 299.85/300.43  259680[5:Obv:259649.2] || member(u,v) subclass(omega,v) -> equal(integer_of(w),identity_relation) subclass(unordered_pair(w,u),v)*.
% 299.85/300.43  259791[5:Obv:259759.2] || member(u,v) subclass(omega,v) -> equal(integer_of(w),identity_relation) subclass(unordered_pair(u,w),v)*.
% 299.85/300.43  260039[0:Res:63.1,8430.0] function(u) || subclass(cross_product(universal_class,universal_class),v) -> subclass(u,w) member(not_subclass_element(u,w),v)*.
% 299.85/300.43  260081[0:Res:119596.0,8430.0] || subclass(complement(u),v) -> subclass(symmetric_difference(universal_class,u),w) member(not_subclass_element(symmetric_difference(universal_class,u),w),v)*.
% 299.85/300.43  260116[5:Res:8347.0,8430.0] || subclass(range_of(u),v) -> subclass(cantor(inverse(u)),w) member(not_subclass_element(cantor(inverse(u)),w),v)*.
% 299.85/300.43  260297[0:Res:8213.2,1054.0] || subclass(u,singleton(v))* -> subclass(intersection(w,u),x) equal(not_subclass_element(intersection(w,u),x),v)*.
% 299.85/300.43  260640[5:Res:260484.1,5316.0] || subclass(universal_class,u)* subclass(u,v)* -> equal(cantor(w),identity_relation) member(regular(cantor(w)),v)*.
% 299.85/300.43  260656[5:Res:260484.1,8435.0] || subclass(universal_class,restrict(u,v,w))* -> subclass(cantor(x),y) member(not_subclass_element(cantor(x),y),u)*.
% 299.85/300.43  260717[5:Res:260493.1,5321.0] || subclass(universal_class,intersection(u,v))* -> equal(symmetric_difference(universal_class,w),identity_relation) member(regular(symmetric_difference(universal_class,w)),u)*.
% 299.85/300.43  260718[5:Res:260493.1,5320.0] || subclass(universal_class,intersection(u,v))* -> equal(symmetric_difference(universal_class,w),identity_relation) member(regular(symmetric_difference(universal_class,w)),v)*.
% 299.85/300.43  261277[0:Res:261060.0,8.0] || subclass(u,intersection(v,restrict(u,w,x)))* -> equal(intersection(v,restrict(u,w,x)),u).
% 299.85/300.43  261941[0:Res:8307.2,1054.0] || subclass(u,singleton(v))* -> subclass(intersection(u,w),x) equal(not_subclass_element(intersection(u,w),x),v)*.
% 299.85/300.43  262173[0:Res:261657.0,2957.1] single_valued_class(intersection(u,complement(complement(cross_product(universal_class,universal_class))))) ||  -> function(intersection(u,complement(complement(cross_product(universal_class,universal_class)))))*.
% 299.85/300.43  262177[5:Res:261657.0,5325.0] ||  -> equal(intersection(u,complement(complement(singleton(v)))),identity_relation) equal(regular(intersection(u,complement(complement(singleton(v))))),v)**.
% 299.85/300.43  262232[5:Res:261827.0,8.0] || subclass(inverse(identity_relation),restrict(symmetrization_of(identity_relation),u,v))* -> equal(restrict(symmetrization_of(identity_relation),u,v),inverse(identity_relation)).
% 299.85/300.43  262823[5:Res:262607.0,5325.0] ||  -> equal(complement(complement(intersection(u,singleton(v)))),identity_relation) equal(regular(complement(complement(intersection(u,singleton(v))))),v)**.
% 299.85/300.43  263315[5:Res:263232.0,5316.0] || subclass(complement(singleton(u)),v) -> equal(complement(successor(u)),identity_relation) member(regular(complement(successor(u))),v)*.
% 299.85/300.43  263347[5:Res:263234.0,5316.0] || subclass(complement(inverse(u)),v) -> equal(complement(symmetrization_of(u)),identity_relation) member(regular(complement(symmetrization_of(u))),v)*.
% 299.85/300.43  263595[0:Res:9102.1,134.1] || section(cross_product(u,v),v,w)* subclass(v,u) -> section(cross_product(w,v),v,u)*.
% 299.85/300.43  263764[0:Res:263405.0,2957.1] single_valued_class(intersection(complement(complement(cross_product(universal_class,universal_class))),u)) ||  -> function(intersection(complement(complement(cross_product(universal_class,universal_class))),u))*.
% 299.85/300.43  263768[5:Res:263405.0,5325.0] ||  -> equal(intersection(complement(complement(singleton(u))),v),identity_relation) equal(regular(intersection(complement(complement(singleton(u))),v)),u)**.
% 299.85/300.43  263841[5:Res:263738.0,5316.0] || subclass(u,v) -> equal(symmetric_difference(universal_class,complement(u)),identity_relation) member(regular(symmetric_difference(universal_class,complement(u))),v)*.
% 299.85/300.43  263852[5:Res:263738.0,5321.0] ||  -> equal(symmetric_difference(universal_class,complement(intersection(u,v))),identity_relation) member(regular(symmetric_difference(universal_class,complement(intersection(u,v)))),u)*.
% 299.85/300.43  263853[5:Res:263738.0,5320.0] ||  -> equal(symmetric_difference(universal_class,complement(intersection(u,v))),identity_relation) member(regular(symmetric_difference(universal_class,complement(intersection(u,v)))),v)*.
% 299.85/300.43  263944[0:Res:263745.0,2957.1] single_valued_class(complement(complement(complement(complement(cross_product(universal_class,universal_class)))))) ||  -> function(complement(complement(complement(complement(cross_product(universal_class,universal_class))))))*.
% 299.85/300.43  263948[5:Res:263745.0,5325.0] ||  -> equal(complement(complement(complement(complement(singleton(u))))),identity_relation) equal(regular(complement(complement(complement(complement(singleton(u)))))),u)**.
% 299.85/300.43  264117[5:Res:263450.0,5325.0] ||  -> equal(complement(complement(intersection(singleton(u),v))),identity_relation) equal(regular(complement(complement(intersection(singleton(u),v)))),u)**.
% 299.85/300.43  264385[0:Res:264292.0,8430.0] || subclass(complement(u),v) -> subclass(complement(successor(u)),w) member(not_subclass_element(complement(successor(u)),w),v)*.
% 299.85/300.43  264390[5:Res:264292.0,5259.0] || well_ordering(u,complement(v)) -> equal(segment(u,complement(successor(v)),least(u,complement(successor(v)))),identity_relation)**.
% 299.85/300.43  264435[0:Res:264294.0,8430.0] || subclass(complement(u),v) -> subclass(complement(symmetrization_of(u)),w) member(not_subclass_element(complement(symmetrization_of(u)),w),v)*.
% 299.85/300.43  264440[5:Res:264294.0,5259.0] || well_ordering(u,complement(v)) -> equal(segment(u,complement(symmetrization_of(v)),least(u,complement(symmetrization_of(v)))),identity_relation)**.
% 299.85/300.43  264491[5:Res:263814.0,8.0] || subclass(complement(inverse(identity_relation)),symmetric_difference(universal_class,symmetrization_of(identity_relation)))* -> equal(symmetric_difference(universal_class,symmetrization_of(identity_relation)),complement(inverse(identity_relation))).
% 299.85/300.43  264507[7:Res:264355.0,8.0] || subclass(singleton(identity_relation),complement(successor(complement(singleton(identity_relation)))))* -> equal(complement(successor(complement(singleton(identity_relation)))),singleton(identity_relation)).
% 299.85/300.43  264533[5:Res:264356.0,8.0] || subclass(symmetrization_of(identity_relation),complement(successor(complement(inverse(identity_relation)))))* -> equal(complement(successor(complement(inverse(identity_relation)))),symmetrization_of(identity_relation)).
% 299.85/300.43  264558[7:Res:264409.0,8.0] || subclass(singleton(identity_relation),complement(symmetrization_of(complement(singleton(identity_relation)))))* -> equal(complement(symmetrization_of(complement(singleton(identity_relation)))),singleton(identity_relation)).
% 299.85/300.43  264588[5:Res:264410.0,8.0] || subclass(symmetrization_of(identity_relation),complement(symmetrization_of(complement(inverse(identity_relation)))))* -> equal(complement(symmetrization_of(complement(inverse(identity_relation)))),symmetrization_of(identity_relation)).
% 299.85/300.43  264610[5:Res:7.1,183412.0] || equal(u,universal_class) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(singleton(v),least(omega,universal_class))),identity_relation)**.
% 299.85/300.43  264651[0:Res:264357.0,8.0] || subclass(power_class(u),complement(successor(complement(power_class(u)))))* -> equal(complement(successor(complement(power_class(u)))),power_class(u)).
% 299.85/300.43  264683[0:Res:264411.0,8.0] || subclass(power_class(u),complement(symmetrization_of(complement(power_class(u)))))* -> equal(complement(symmetrization_of(complement(power_class(u)))),power_class(u)).
% 299.85/300.43  264757[5:Res:261641.0,8.0] || subclass(complement(u),intersection(v,symmetric_difference(universal_class,u)))* -> equal(intersection(v,symmetric_difference(universal_class,u)),complement(u)).
% 299.85/300.43  264891[5:Res:263389.0,8.0] || subclass(complement(u),intersection(symmetric_difference(universal_class,u),v))* -> equal(intersection(symmetric_difference(universal_class,u),v),complement(u)).
% 299.85/300.43  264924[5:Res:263560.1,8430.0] || equal(complement(u),identity_relation) subclass(u,v)* -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.85/300.43  264926[5:Res:263560.1,3691.0] || equal(complement(u),identity_relation) well_ordering(v,u)* -> subclass(w,x)* member(least(v,w),w)*.
% 299.85/300.43  264927[5:Res:263560.1,3692.1] inductive(u) || equal(complement(v),identity_relation) well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  264928[5:Res:263560.1,5215.0] || equal(complement(u),identity_relation) well_ordering(v,u)* -> equal(w,identity_relation) member(least(v,w),w)*.
% 299.85/300.43  264929[5:Res:263560.1,5259.0] || equal(complement(u),identity_relation) well_ordering(v,u)* -> equal(segment(v,w,least(v,w)),identity_relation)**.
% 299.85/300.43  264940[5:Res:263560.1,8397.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> equal(x,identity_relation) member(regular(x),cross_product(v,w))*.
% 299.85/300.43  265108[17:Res:263560.1,195184.1] || equal(complement(restrict(u,v,w)),identity_relation)** member(x,universal_class) -> member(ordered_pair(x,identity_relation),u)*.
% 299.85/300.43  265137[5:Res:263560.1,20351.1] || equal(complement(intersection(u,v)),identity_relation)** member(w,universal_class) -> member(ordered_pair(w,rest_of(w)),v)*.
% 299.85/300.43  265138[5:Res:263560.1,20350.1] || equal(complement(intersection(u,v)),identity_relation)** member(w,universal_class) -> member(ordered_pair(w,rest_of(w)),u)*.
% 299.85/300.43  265312[5:Res:263560.1,125904.0] || equal(complement(restrict(u,v,w)),identity_relation)** -> equal(integer_of(x),identity_relation) member(x,cross_product(v,w))*.
% 299.85/300.43  265496[5:Res:28995.3,29469.0] function(u) || member(cross_product(universal_class,universal_class),universal_class) -> equal(u,identity_relation) member(least(element_relation,u),universal_class)*.
% 299.85/300.43  265536[20:MRR:265531.2,212333.0] function(symmetrization_of(identity_relation)) || member(cross_product(universal_class,universal_class),universal_class) -> member(least(element_relation,symmetrization_of(identity_relation)),inverse(identity_relation))*.
% 299.85/300.43  265652[20:Res:265633.0,23342.0] || subclass(rest_relation,successor_relation) -> equal(rest_of(regular(complement(complement(symmetrization_of(identity_relation))))),successor(regular(complement(complement(symmetrization_of(identity_relation))))))**.
% 299.85/300.43  265675[20:SoR:265655.0,4792.2] single_valued_class(regular(complement(complement(symmetrization_of(identity_relation))))) || equal(regular(complement(complement(symmetrization_of(identity_relation)))),cross_product(universal_class,universal_class))** -> .
% 299.85/300.43  265850[0:Res:262147.0,8.0] || subclass(u,restrict(complement(complement(u)),v,w))* -> equal(restrict(complement(complement(u)),v,w),u).
% 299.85/300.43  265904[0:SpR:252738.0,8243.0] ||  -> subclass(symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v))),complement(intersection(power_class(complement(power_class(u))),power_class(v))))*.
% 299.85/300.43  265992[0:Res:262737.0,8.0] || subclass(u,complement(complement(restrict(u,v,w))))* -> equal(complement(complement(restrict(u,v,w))),u).
% 299.85/300.43  266150[0:Res:261130.0,8.0] || subclass(u,restrict(intersection(v,u),w,x))* -> equal(restrict(intersection(v,u),w,x),u).
% 299.85/300.43  266244[0:SpR:253065.0,8243.0] ||  -> subclass(symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v))),complement(intersection(power_class(u),power_class(complement(power_class(v))))))*.
% 299.85/300.43  266395[0:Res:261700.0,8.0] || subclass(u,restrict(intersection(u,v),w,x))* -> equal(restrict(intersection(u,v),w,x),u).
% 299.85/300.43  266525[0:Res:262535.0,8.0] || subclass(u,intersection(restrict(u,v,w),x))* -> equal(intersection(restrict(u,v,w),x),u).
% 299.85/300.43  266616[5:Res:123649.1,123566.0] ||  -> equal(integer_of(u),identity_relation) equal(ordered_pair(first(ordered_pair(u,omega)),second(ordered_pair(u,omega))),ordered_pair(u,omega))**.
% 299.85/300.43  266617[5:Res:16080.1,123566.0] ||  -> equal(singleton(u),identity_relation) equal(ordered_pair(first(ordered_pair(u,omega)),second(ordered_pair(u,omega))),ordered_pair(u,omega))**.
% 299.85/300.43  266992[9:MRR:266958.3,201884.0] || member(u,universal_class) subclass(universal_class,regular(complement(inverse(identity_relation)))) -> subclass(singleton(sum_class(u)),symmetrization_of(identity_relation))*.
% 299.85/300.43  266993[7:MRR:266957.3,228808.0] || member(u,universal_class) subclass(universal_class,regular(complement(singleton(identity_relation)))) -> subclass(singleton(sum_class(u)),singleton(identity_relation))*.
% 299.85/300.43  266994[5:MRR:266972.3,203265.0] || member(u,universal_class) subclass(universal_class,regular(inverse(singleton(sum_class(u)))))* -> asymmetric(singleton(sum_class(u)),v)*.
% 299.85/300.43  267128[5:MRR:267065.1,5265.0] || equal(identity_relation,u) subclass(universal_class,regular(v)) member(power_class(u),v)* -> equal(v,identity_relation).
% 299.85/300.43  267129[9:MRR:267082.3,201884.0] || member(u,universal_class) subclass(universal_class,regular(complement(inverse(identity_relation)))) -> subclass(singleton(power_class(u)),symmetrization_of(identity_relation))*.
% 299.85/300.43  267130[7:MRR:267081.3,228808.0] || member(u,universal_class) subclass(universal_class,regular(complement(singleton(identity_relation)))) -> subclass(singleton(power_class(u)),singleton(identity_relation))*.
% 299.85/300.43  267131[5:MRR:267096.3,203265.0] || member(u,universal_class) subclass(universal_class,regular(inverse(singleton(power_class(u)))))* -> asymmetric(singleton(power_class(u)),v)*.
% 299.85/300.43  267173[7:Res:263210.0,5325.0] ||  -> equal(complement(union(u,complement(singleton(identity_relation)))),identity_relation) equal(regular(complement(union(u,complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.43  267309[7:Res:264270.0,5325.0] ||  -> equal(complement(union(complement(singleton(identity_relation)),u)),identity_relation) equal(regular(complement(union(complement(singleton(identity_relation)),u))),identity_relation)**.
% 299.85/300.43  267628[5:Res:267557.0,8.0] || subclass(inverse(identity_relation),symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))))* -> equal(symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))),inverse(identity_relation)).
% 299.85/300.43  267644[5:Res:267563.0,8.0] || subclass(inverse(identity_relation),complement(successor(complement(inverse(identity_relation)))))* -> equal(complement(successor(complement(inverse(identity_relation)))),inverse(identity_relation)).
% 299.85/300.43  267660[5:Res:267564.0,8.0] || subclass(inverse(identity_relation),complement(symmetrization_of(complement(inverse(identity_relation)))))* -> equal(complement(symmetrization_of(complement(inverse(identity_relation)))),inverse(identity_relation)).
% 299.85/300.43  267677[20:Res:267580.0,8.0] || subclass(inverse(identity_relation),singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)))* -> equal(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),inverse(identity_relation)).
% 299.85/300.43  267728[5:Rew:233433.0,267714.1] || member(singleton(singleton(singleton(singleton(singleton(identity_relation))))),composition_function)* -> equal(compose(singleton(singleton(singleton(identity_relation))),identity_relation),universal_class).
% 299.85/300.43  268357[15:SpL:191728.0,9122.1] || member(range_of(identity_relation),domain_of(cross_product(u,v)))* equal(restrict(cross_product(identity_relation,universal_class),u,v),identity_relation) -> .
% 299.85/300.43  268375[5:SpL:122708.0,264001.0] || equal(complement(union(symmetric_difference(universal_class,u),v)),universal_class) -> subclass(universal_class,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  268376[5:SpL:122711.0,264001.0] || equal(complement(union(u,symmetric_difference(universal_class,v))),universal_class) -> subclass(universal_class,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  268472[5:SpR:122708.0,264384.1] || equal(successor(intersection(union(u,identity_relation),complement(v))),identity_relation)** -> subclass(universal_class,union(symmetric_difference(universal_class,u),v)).
% 299.85/300.43  268473[5:SpR:122711.0,264384.1] || equal(successor(intersection(complement(u),union(v,identity_relation))),identity_relation)** -> subclass(universal_class,union(u,symmetric_difference(universal_class,v))).
% 299.85/300.43  268481[5:SpR:579.0,264384.1] || equal(successor(image(element_relation,union(u,v))),identity_relation) -> subclass(universal_class,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.43  268672[5:Res:25231.1,3924.0] || subclass(union(u,v),w)* well_ordering(universal_class,w) -> equal(symmetric_difference(complement(u),complement(v)),identity_relation)**.
% 299.85/300.43  268691[17:Rew:22454.0,268597.2,22454.0,268597.1] function(u) ||  -> equal(symmetric_difference(complement(u),universal_class),identity_relation) member(regular(symmetric_difference(complement(u),universal_class)),successor(u))*.
% 299.85/300.43  268693[15:Rew:22454.0,268611.1,22454.0,268611.0] ||  -> equal(symmetric_difference(complement(range_of(identity_relation)),universal_class),identity_relation) member(regular(symmetric_difference(complement(range_of(identity_relation)),universal_class)),successor(range_of(identity_relation)))*.
% 299.85/300.43  268790[5:SpR:233433.0,5563.1] || subclass(omega,composition_function) -> equal(integer_of(ordered_pair(u,singleton(singleton(identity_relation)))),identity_relation)** equal(compose(u,identity_relation),universal_class).
% 299.85/300.43  268831[5:Res:7.1,5556.0] || equal(rest_of(u),omega) -> equal(integer_of(ordered_pair(v,w)),identity_relation)** equal(restrict(u,v,universal_class),w)*.
% 299.85/300.43  268930[20:MRR:268900.2,212333.0] || member(regular(intersection(u,regular(symmetrization_of(identity_relation)))),inverse(identity_relation))* -> equal(intersection(u,regular(symmetrization_of(identity_relation))),identity_relation).
% 299.85/300.43  268937[5:Rew:5253.1,268936.1] || member(regular(intersection(u,v)),singleton(v))* -> equal(intersection(u,v),identity_relation) equal(singleton(v),identity_relation).
% 299.85/300.43  269108[20:MRR:269076.2,212333.0] || member(regular(intersection(regular(symmetrization_of(identity_relation)),u)),inverse(identity_relation))* -> equal(intersection(regular(symmetrization_of(identity_relation)),u),identity_relation).
% 299.85/300.43  269115[5:Rew:5253.1,269114.1] || member(regular(intersection(u,v)),singleton(u))* -> equal(intersection(u,v),identity_relation) equal(singleton(u),identity_relation).
% 299.85/300.43  269364[5:SpR:122708.0,264434.1] || equal(symmetrization_of(intersection(union(u,identity_relation),complement(v))),identity_relation)** -> subclass(universal_class,union(symmetric_difference(universal_class,u),v)).
% 299.85/300.43  269365[5:SpR:122711.0,264434.1] || equal(symmetrization_of(intersection(complement(u),union(v,identity_relation))),identity_relation)** -> subclass(universal_class,union(u,symmetric_difference(universal_class,v))).
% 299.85/300.43  269373[5:SpR:579.0,264434.1] || equal(symmetrization_of(image(element_relation,union(u,v))),identity_relation) -> subclass(universal_class,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.43  269604[14:Res:178680.1,7532.1] || equal(power_class(intersection(complement(u),complement(v))),omega) member(identity_relation,image(element_relation,union(u,v)))* -> .
% 299.85/300.43  269662[5:Rew:251762.0,269546.0] || equal(image(element_relation,union(u,v)),identity_relation) member(singleton(w),image(element_relation,union(u,v)))* -> .
% 299.85/300.43  269664[5:Rew:251762.0,269563.0] || equal(image(element_relation,union(u,v)),identity_relation) member(power_class(identity_relation),image(element_relation,union(u,v)))* -> .
% 299.85/300.43  269752[5:Res:7.1,27621.1] || equal(singleton(u),v)* member(v,universal_class) -> equal(v,identity_relation) equal(apply(choice,v),u)*.
% 299.85/300.43  269827[4:Res:3366.1,28047.2] function(u) inductive(u) || member(cross_product(universal_class,universal_class),universal_class) -> member(least(element_relation,u),u)*.
% 299.85/300.43  269866[17:Res:29542.1,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> equal(w,identity_relation) member(ordered_pair(regular(w),identity_relation),v)*.
% 299.85/300.43  269893[17:Res:123649.1,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> equal(integer_of(w),identity_relation) member(ordered_pair(w,identity_relation),v)*.
% 299.85/300.43  269894[17:Res:16080.1,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> equal(singleton(w),identity_relation) member(ordered_pair(w,identity_relation),v)*.
% 299.85/300.43  269920[20:Res:265633.0,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> member(ordered_pair(regular(complement(complement(symmetrization_of(identity_relation)))),identity_relation),v)*.
% 299.85/300.43  270067[17:Obv:270050.0] || subclass(domain_relation,symmetric_difference(u,v)) member(w,universal_class)* subclass(domain_relation,complement(union(u,v)))* -> .
% 299.85/300.43  270098[0:SpR:251233.0,146022.0] ||  -> equal(intersection(union(complement(power_class(u)),v),symmetric_difference(power_class(u),complement(v))),symmetric_difference(power_class(u),complement(v)))**.
% 299.85/300.43  270192[0:SpL:251233.0,1003.0] || subclass(universal_class,symmetric_difference(power_class(u),complement(v))) -> member(unordered_pair(w,x),union(complement(power_class(u)),v))*.
% 299.85/300.43  270674[5:SpL:251244.0,231267.0] || equal(intersection(union(complement(power_class(u)),v),complement(w)),union(intersection(power_class(u),complement(v)),w))** -> .
% 299.85/300.43  270690[5:SpL:251244.0,203648.0] || equal(union(intersection(power_class(u),complement(v)),w),identity_relation)** -> member(identity_relation,union(complement(power_class(u)),v)).
% 299.85/300.43  270711[5:Rew:22454.0,270581.1] || subclass(union(complement(power_class(u)),v),identity_relation) -> equal(union(intersection(power_class(u),complement(v)),w),universal_class)**.
% 299.85/300.43  270721[5:Rew:27.0,270566.1,122359.0,270566.1] || equal(power_class(u),universal_class) -> equal(union(intersection(power_class(u),complement(v)),w),union(complement(v),w))**.
% 299.85/300.43  270878[5:SpL:122708.0,265197.0] || equal(complement(union(symmetric_difference(universal_class,u),v)),identity_relation) -> equal(intersection(union(u,identity_relation),complement(v)),identity_relation)**.
% 299.85/300.43  270880[5:SpL:122711.0,265197.0] || equal(complement(union(u,symmetric_difference(universal_class,v))),identity_relation) -> equal(intersection(complement(u),union(v,identity_relation)),identity_relation)**.
% 299.85/300.43  3356[0:SpL:647.0,37.0] || member(ordered_pair(singleton(singleton(singleton(u))),v),flip(w))* -> member(ordered_pair(ordered_pair(u,singleton(u)),v),w)*.
% 299.85/300.43  3358[0:SpL:647.0,34.0] || member(ordered_pair(singleton(singleton(singleton(u))),v),rotate(w))* -> member(ordered_pair(ordered_pair(u,v),singleton(u)),w)*.
% 299.85/300.43  20348[0:Res:780.2,2.0] || member(u,universal_class) subclass(rest_relation,v)* subclass(v,w)* -> member(ordered_pair(u,rest_of(u)),w)*.
% 299.85/300.43  47861[0:SpL:932.0,8165.1] || member(u,symmetric_difference(complement(intersection(v,singleton(v))),successor(v)))* member(u,symmetric_difference(v,singleton(v))) -> .
% 299.85/300.43  35127[0:SpL:930.0,817.0] || subclass(universal_class,symmetric_difference(complement(intersection(u,v)),union(u,v)))* -> member(singleton(w),complement(symmetric_difference(u,v)))*.
% 299.85/300.43  35135[0:SpL:930.0,4131.0] || equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),universal_class)** -> member(singleton(w),complement(symmetric_difference(u,v)))*.
% 299.85/300.43  8880[0:SpR:932.0,943.1] || member(u,symmetric_difference(complement(intersection(v,singleton(v))),successor(v)))* -> member(u,complement(symmetric_difference(v,singleton(v)))).
% 299.85/300.43  20359[0:Res:780.2,944.0] || member(u,universal_class) subclass(rest_relation,symmetric_difference(v,w)) -> member(ordered_pair(u,rest_of(u)),union(v,w))*.
% 299.85/300.43  41183[0:Res:780.2,8898.0] || member(u,universal_class) subclass(rest_relation,symmetric_difference(v,singleton(v)))* -> member(ordered_pair(u,rest_of(u)),successor(v))*.
% 299.85/300.43  33198[0:MRR:33189.1,176.0] || member(u,universal_class) equal(compose(v,singleton(u)),u) -> member(singleton(singleton(singleton(u))),compose_class(v))*.
% 299.85/300.43  20390[0:MRR:20379.1,145.0] || member(u,universal_class) equal(compose(v,u),rest_of(u)) -> member(ordered_pair(u,rest_of(u)),compose_class(v))*.
% 299.85/300.43  29464[0:Res:63.1,2609.2] function(intersection(u,v)) || member(w,v)* member(w,u)* -> member(w,cross_product(universal_class,universal_class))*.
% 299.85/300.43  3796[0:Res:3780.1,18.0] || equal(complement(complement(cross_product(u,v))),universal_class)** -> equal(ordered_pair(first(singleton(w)),second(singleton(w))),singleton(w))**.
% 299.85/300.43  9161[0:SpR:27.0,9005.0] ||  -> subclass(symmetric_difference(union(u,v),complement(singleton(intersection(complement(u),complement(v))))),successor(intersection(complement(u),complement(v))))*.
% 299.85/300.43  123008[5:Rew:122359.0,23548.2] function(union(identity_relation,symmetrization_of(u))) || connected(u,universal_class) -> equal(complement(complement(symmetrization_of(u))),cross_product(universal_class,universal_class))**.
% 299.85/300.43  123103[5:Rew:122359.0,123102.2] || member(u,universal_class) subclass(rest_relation,complement(v)) member(ordered_pair(u,rest_of(u)),complement(complement(v)))* -> .
% 299.85/300.43  123926[0:Res:780.2,158.0] || member(u,universal_class) subclass(rest_relation,omega) -> equal(integer_of(ordered_pair(u,rest_of(u))),ordered_pair(u,rest_of(u)))**.
% 299.85/300.43  124020[0:Res:761.1,2599.1] || subclass(universal_class,complement(intersection(u,v)))* member(omega,union(u,v)) -> member(omega,symmetric_difference(u,v)).
% 299.85/300.43  124652[5:Res:122509.1,720.1] function(complement(complement(symmetrization_of(u)))) || connected(u,universal_class) -> equal(complement(complement(symmetrization_of(u))),cross_product(universal_class,universal_class))**.
% 299.85/300.43  116873[0:Res:783.1,8157.0] || subclass(ordered_pair(u,v),symmetric_difference(complement(w),complement(x)))* -> member(unordered_pair(u,singleton(v)),union(w,x)).
% 299.85/300.43  114852[0:Res:783.1,776.0] || subclass(ordered_pair(u,v),cantor(w))* subclass(domain_of(w),x)* -> member(unordered_pair(u,singleton(v)),x)*.
% 299.85/300.43  116850[0:Res:764.2,8157.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(v),complement(w)))* -> member(power_class(u),union(v,w))*.
% 299.85/300.43  116845[0:Res:766.2,8157.0] || subclass(u,symmetric_difference(complement(v),complement(w))) -> subclass(u,x) member(not_subclass_element(u,x),union(v,w))*.
% 299.85/300.43  114806[0:Res:766.2,776.0] || subclass(u,cantor(v))* subclass(domain_of(v),w)* -> subclass(u,x) member(not_subclass_element(u,x),w)*.
% 299.85/300.43  36349[0:SpR:2089.1,646.0] ||  -> subclass(cross_product(u,v),w) member(singleton(first(not_subclass_element(cross_product(u,v),w))),not_subclass_element(cross_product(u,v),w))*.
% 299.85/300.43  21080[0:Rew:941.0,21006.0] ||  -> subclass(symmetric_difference(complement(u),complement(v)),w) member(not_subclass_element(symmetric_difference(complement(u),complement(v)),w),union(u,v))*.
% 299.85/300.43  47688[0:Rew:27.0,47623.1] ||  -> member(not_subclass_element(complement(union(u,v)),w),intersection(complement(u),complement(v)))* subclass(complement(union(u,v)),w).
% 299.85/300.43  47662[0:Res:29726.0,944.0] ||  -> subclass(complement(complement(symmetric_difference(u,v))),w) member(not_subclass_element(complement(complement(symmetric_difference(u,v))),w),union(u,v))*.
% 299.85/300.43  40212[0:SpL:2089.1,1025.1] || subclass(universal_class,complement(u)) member(not_subclass_element(cross_product(v,w),x),u)* -> subclass(cross_product(v,w),x).
% 299.85/300.43  8223[0:Res:356.1,944.0] ||  -> subclass(intersection(u,symmetric_difference(v,w)),x) member(not_subclass_element(intersection(u,symmetric_difference(v,w)),x),union(v,w))*.
% 299.85/300.43  8317[0:Res:366.1,944.0] ||  -> subclass(intersection(symmetric_difference(u,v),w),x) member(not_subclass_element(intersection(symmetric_difference(u,v),w),x),union(u,v))*.
% 299.85/300.43  47656[0:Res:29726.0,596.0] ||  -> subclass(complement(complement(restrict(u,v,w))),x) member(not_subclass_element(complement(complement(restrict(u,v,w))),x),u)*.
% 299.85/300.43  29729[0:MRR:27938.0,29531.1] ||  -> member(not_subclass_element(u,intersection(complement(v),complement(w))),union(v,w))* subclass(u,intersection(complement(v),complement(w))).
% 299.85/300.43  8217[0:Res:356.1,596.0] ||  -> subclass(intersection(u,restrict(v,w,x)),y) member(not_subclass_element(intersection(u,restrict(v,w,x)),y),v)*.
% 299.85/300.43  8311[0:Res:366.1,596.0] ||  -> subclass(intersection(restrict(u,v,w),x),y) member(not_subclass_element(intersection(restrict(u,v,w),x),y),u)*.
% 299.85/300.43  28788[5:SpR:5401.2,6563.1] single_valued_class(u) || member(v,universal_class) -> member(v,domain_of(w)) equal(range__dfg(w,v,universal_class),single_valued2(u))*.
% 299.85/300.43  28789[5:SpR:5401.2,6539.1] function(u) || member(v,universal_class) -> member(v,domain_of(w)) equal(range__dfg(w,v,universal_class),single_valued2(u))*.
% 299.85/300.43  29222[0:SpR:938.0,8337.0] ||  -> subclass(symmetric_difference(complement(restrict(u,v,w)),union(u,cross_product(v,w))),complement(symmetric_difference(u,cross_product(v,w))))*.
% 299.85/300.43  29372[0:SpR:939.0,8337.0] ||  -> subclass(symmetric_difference(complement(restrict(u,v,w)),union(cross_product(v,w),u)),complement(symmetric_difference(cross_product(v,w),u)))*.
% 299.85/300.43  35253[0:EqR:3757.1] || member(u,domain_of(v)) subclass(rest_of(v),w) -> member(ordered_pair(u,restrict(v,u,universal_class)),w)*.
% 299.85/300.43  28286[0:SpL:123.0,3644.0] || equal(segment(u,v,w),singleton(w)) subclass(singleton(w),v) -> section(u,singleton(w),v)*.
% 299.85/300.43  120728[0:Rew:119609.0,120702.2] || section(universal_class,u,v) subclass(u,domain_of(cross_product(v,u)))* -> equal(domain_of(cross_product(v,u)),u).
% 299.85/300.43  41074[0:Res:780.2,8834.0] || member(u,universal_class) subclass(rest_relation,symmetric_difference(v,inverse(v)))* -> member(ordered_pair(u,rest_of(u)),symmetrization_of(v))*.
% 299.85/300.43  8818[0:SpR:931.0,943.1] || member(u,symmetric_difference(complement(intersection(v,inverse(v))),symmetrization_of(v)))* -> member(u,complement(symmetric_difference(v,inverse(v)))).
% 299.85/300.43  47860[0:SpL:931.0,8165.1] || member(u,symmetric_difference(complement(intersection(v,inverse(v))),symmetrization_of(v)))* member(u,symmetric_difference(v,inverse(v))) -> .
% 299.85/300.43  9146[0:SpR:27.0,9004.0] ||  -> subclass(symmetric_difference(union(u,v),complement(inverse(intersection(complement(u),complement(v))))),symmetrization_of(intersection(complement(u),complement(v))))*.
% 299.85/300.43  146083[5:SpR:123.0,146057.0] ||  -> equal(intersection(segment(u,v,w),cantor(restrict(u,v,singleton(w)))),cantor(restrict(u,v,singleton(w))))**.
% 299.85/300.43  155165[5:Res:2603.2,153534.1] || member(u,cross_product(v,w))* member(u,x)* equal(complement(restrict(x,v,w)),universal_class)** -> .
% 299.85/300.43  158945[5:Res:153612.1,3640.1] || equal(complement(segment(u,v,w)),universal_class)** subclass(singleton(w),v) -> section(u,singleton(w),v).
% 299.85/300.43  162496[0:Res:122671.0,595.0] ||  -> subclass(u,complement(restrict(v,w,x))) member(not_subclass_element(u,complement(restrict(v,w,x))),cross_product(w,x))*.
% 299.85/300.43  40254[0:Res:3743.3,1025.1] || member(u,universal_class)* member(v,universal_class)* equal(successor(v),u)* subclass(universal_class,complement(successor_relation))* -> .
% 299.85/300.43  41061[5:Res:5294.1,8834.0] ||  -> equal(intersection(symmetric_difference(u,inverse(u)),v),identity_relation) member(regular(intersection(symmetric_difference(u,inverse(u)),v)),symmetrization_of(u))*.
% 299.85/300.43  41076[5:Res:5295.1,8834.0] ||  -> equal(intersection(u,symmetric_difference(v,inverse(v))),identity_relation) member(regular(intersection(u,symmetric_difference(v,inverse(v)))),symmetrization_of(v))*.
% 299.85/300.43  27426[5:Res:5294.1,22549.1] || member(regular(intersection(complement(compose(element_relation,universal_class)),u)),element_relation)* -> equal(intersection(complement(compose(element_relation,universal_class)),u),identity_relation).
% 299.85/300.43  27436[5:Res:5295.1,22549.1] || member(regular(intersection(u,complement(compose(element_relation,universal_class)))),element_relation)* -> equal(intersection(u,complement(compose(element_relation,universal_class))),identity_relation).
% 299.85/300.43  41170[5:Res:5294.1,8898.0] ||  -> equal(intersection(symmetric_difference(u,singleton(u)),v),identity_relation) member(regular(intersection(symmetric_difference(u,singleton(u)),v)),successor(u))*.
% 299.85/300.43  41185[5:Res:5295.1,8898.0] ||  -> equal(intersection(u,symmetric_difference(v,singleton(v))),identity_relation) member(regular(intersection(u,symmetric_difference(v,singleton(v)))),successor(v))*.
% 299.85/300.43  114786[5:Res:5294.1,776.0] || subclass(domain_of(u),v) -> equal(intersection(cantor(u),w),identity_relation) member(regular(intersection(cantor(u),w)),v)*.
% 299.85/300.43  114809[5:Res:5295.1,776.0] || subclass(domain_of(u),v) -> equal(intersection(w,cantor(u)),identity_relation) member(regular(intersection(w,cantor(u))),v)*.
% 299.85/300.43  41060[5:Res:29628.0,8834.0] ||  -> equal(complement(complement(symmetric_difference(u,inverse(u)))),identity_relation) member(regular(complement(complement(symmetric_difference(u,inverse(u))))),symmetrization_of(u))*.
% 299.85/300.43  41169[5:Res:29628.0,8898.0] ||  -> equal(complement(complement(symmetric_difference(u,singleton(u)))),identity_relation) member(regular(complement(complement(symmetric_difference(u,singleton(u))))),successor(u))*.
% 299.85/300.43  39405[5:Res:29628.0,22549.1] || member(regular(complement(complement(complement(compose(element_relation,universal_class))))),element_relation)* -> equal(complement(complement(complement(compose(element_relation,universal_class)))),identity_relation).
% 299.85/300.43  123939[5:Res:5343.1,158.0] ||  -> equal(restrict(omega,u,v),identity_relation) equal(integer_of(regular(restrict(omega,u,v))),regular(restrict(omega,u,v)))**.
% 299.85/300.43  34831[5:Rew:123.0,34802.0] ||  -> equal(segment(u,v,w),identity_relation) member(regular(segment(u,v,w)),cantor(restrict(u,v,singleton(w))))*.
% 299.85/300.43  23047[5:Res:5220.1,588.0] || member(regular(intersection(complement(u),complement(v))),union(u,v))* -> equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.43  123055[5:Rew:119684.0,24523.0] ||  -> equal(complement(intersection(complement(u),union(v,symmetric_difference(universal_class,w)))),union(u,intersection(complement(v),union(w,identity_relation))))**.
% 299.85/300.43  47919[5:Res:5295.1,8165.1] || member(regular(intersection(u,intersection(v,w))),symmetric_difference(v,w))* -> equal(intersection(u,intersection(v,w)),identity_relation).
% 299.85/300.43  47902[5:Res:5294.1,8165.1] || member(regular(intersection(intersection(u,v),w)),symmetric_difference(u,v))* -> equal(intersection(intersection(u,v),w),identity_relation).
% 299.85/300.43  8161[5:Res:943.1,5233.0] || member(regular(complement(complement(intersection(u,v)))),symmetric_difference(u,v))* -> equal(complement(complement(intersection(u,v))),identity_relation).
% 299.85/300.43  29206[5:Obv:29192.0] ||  -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation) equal(intersection(unordered_pair(u,v),u),identity_relation)**.
% 299.85/300.43  29207[5:Obv:29184.0] ||  -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation) equal(intersection(unordered_pair(u,v),v),identity_relation)**.
% 299.85/300.43  167916[5:Res:5288.2,588.0] || subclass(omega,intersection(complement(u),complement(v)))* member(w,union(u,v))* -> equal(integer_of(w),identity_relation).
% 299.85/300.43  120320[5:SpL:118447.0,773.1] || member(u,universal_class) subclass(union(v,identity_relation),w)* -> member(u,symmetric_difference(universal_class,v))* member(u,w)*.
% 299.85/300.43  123089[5:Rew:119684.0,52337.1,119684.0,52337.0] || member(regular(intersection(u,symmetric_difference(universal_class,v))),union(v,identity_relation))* -> equal(intersection(u,symmetric_difference(universal_class,v)),identity_relation).
% 299.85/300.43  123050[5:Rew:119684.0,24517.0] ||  -> equal(complement(intersection(complement(u),union(symmetric_difference(universal_class,v),w))),union(u,intersection(union(v,identity_relation),complement(w))))**.
% 299.85/300.43  123051[5:Rew:119684.0,24513.0] ||  -> equal(complement(intersection(union(u,symmetric_difference(universal_class,v)),complement(w))),union(intersection(complement(u),union(v,identity_relation)),w))**.
% 299.85/300.43  8226[5:Res:356.1,5405.0] || member(not_subclass_element(intersection(u,regular(v)),w),v)* -> subclass(intersection(u,regular(v)),w) equal(v,identity_relation).
% 299.85/300.43  30830[5:Res:5196.1,2599.1] || subclass(universal_class,complement(intersection(u,v)))* member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v)).
% 299.85/300.43  113991[5:Obv:113948.2] || subclass(intersection(singleton(u),v),complement(w))* member(u,w) -> equal(intersection(singleton(u),v),identity_relation).
% 299.85/300.43  114214[5:Obv:114170.2] || subclass(intersection(u,singleton(v)),complement(w))* member(v,w) -> equal(intersection(u,singleton(v)),identity_relation).
% 299.85/300.43  8320[5:Res:366.1,5405.0] || member(not_subclass_element(intersection(regular(u),v),w),u)* -> subclass(intersection(regular(u),v),w) equal(u,identity_relation).
% 299.85/300.43  47667[5:Res:29726.0,5405.0] || member(not_subclass_element(complement(complement(regular(u))),v),u)* -> subclass(complement(complement(regular(u))),v) equal(u,identity_relation).
% 299.85/300.43  25364[5:Res:5214.2,588.0] || subclass(u,intersection(complement(v),complement(w)))* member(regular(u),union(v,w)) -> equal(u,identity_relation).
% 299.85/300.43  113698[5:Res:943.1,5322.1] || member(regular(u),symmetric_difference(v,w)) subclass(u,complement(complement(intersection(v,w))))* -> equal(u,identity_relation).
% 299.85/300.43  123093[5:Rew:119684.0,52321.1,119684.0,52321.0] || member(regular(intersection(symmetric_difference(universal_class,u),v)),union(u,identity_relation))* -> equal(intersection(symmetric_difference(universal_class,u),v),identity_relation).
% 299.85/300.43  123049[5:Rew:119684.0,24500.0] ||  -> equal(complement(intersection(union(symmetric_difference(universal_class,u),v),complement(w))),union(intersection(union(u,identity_relation),complement(v)),w))**.
% 299.85/300.43  28185[5:Res:27132.1,9.0] || subclass(domain_relation,complement(complement(unordered_pair(u,v))))* -> equal(ordered_pair(identity_relation,identity_relation),v) equal(ordered_pair(identity_relation,identity_relation),u).
% 299.85/300.43  27435[5:Res:780.2,22549.1] || member(u,universal_class) subclass(rest_relation,complement(compose(element_relation,universal_class))) member(ordered_pair(u,rest_of(u)),element_relation)* -> .
% 299.85/300.43  116849[0:Res:765.2,8157.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(v),complement(w)))* -> member(sum_class(u),union(v,w))*.
% 299.85/300.43  178031[14:Res:178018.1,2599.1] || subclass(omega,complement(intersection(u,v)))* member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v)).
% 299.85/300.43  178286[14:Res:2603.2,178202.1] || member(identity_relation,cross_product(u,v)) member(identity_relation,w) equal(complement(restrict(w,u,v)),omega)** -> .
% 299.85/300.43  178712[14:Res:178680.1,2599.1] || equal(complement(intersection(u,v)),omega) member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v))*.
% 299.85/300.43  179350[5:SpR:145868.1,5597.1] || subclass(inverse(u),u)* asymmetric(u,singleton(v)) -> equal(segment(inverse(u),singleton(v),v),identity_relation)**.
% 299.85/300.43  181227[5:Res:3743.3,153534.1] || member(u,universal_class)* member(v,universal_class)* equal(successor(v),u)* equal(complement(successor_relation),universal_class) -> .
% 299.85/300.43  117926[5:Res:5343.1,610.0] ||  -> equal(restrict(cantor(inverse(u)),v,w),identity_relation) member(regular(restrict(cantor(inverse(u)),v,w)),range_of(u))*.
% 299.85/300.43  152942[5:SpR:146076.0,160.0] ||  -> equal(intersection(complement(cantor(inverse(u))),union(range_of(u),cantor(inverse(u)))),symmetric_difference(range_of(u),cantor(inverse(u))))**.
% 299.85/300.43  87334[0:Res:86994.1,720.1] function(range_of(u)) || equal(cantor(inverse(u)),cross_product(universal_class,universal_class))* -> equal(cross_product(universal_class,universal_class),range_of(u)).
% 299.85/300.43  87333[0:Res:86994.1,773.1] || equal(cantor(inverse(u)),complement(v))* member(w,universal_class) -> member(w,v)* member(w,range_of(u))*.
% 299.85/300.43  150321[5:Res:150282.1,3691.0] || equal(range_of(u),universal_class) well_ordering(v,range_of(u))* -> subclass(w,x)* member(least(v,w),w)*.
% 299.85/300.43  166860[5:Res:150282.1,5259.0] || equal(range_of(u),universal_class) well_ordering(v,range_of(u))* -> equal(segment(v,w,least(v,w)),identity_relation)**.
% 299.85/300.43  167013[5:Res:150282.1,5215.0] || equal(range_of(u),universal_class) well_ordering(v,range_of(u))* -> equal(w,identity_relation) member(least(v,w),w)*.
% 299.85/300.43  150322[5:Res:150282.1,3692.1] inductive(u) || equal(range_of(v),universal_class) well_ordering(w,range_of(v))* -> member(least(w,u),u)*.
% 299.85/300.43  118138[5:Res:29474.1,34675.0] || member(not_subclass_element(u,intersection(cantor(inverse(v)),u)),range_of(v))* -> subclass(u,intersection(cantor(inverse(v)),u)).
% 299.85/300.43  8645[5:SpR:30.0,5391.1] || asymmetric(cross_product(u,v),universal_class) -> equal(image(restrict(inverse(cross_product(u,v)),u,v),universal_class),range_of(identity_relation))**.
% 299.85/300.43  33381[5:SpL:5309.0,3524.1] || member(ordered_pair(u,v),compose(w,identity_relation))* subclass(image(w,range_of(identity_relation)),x)* -> member(v,x)*.
% 299.85/300.43  123117[5:Rew:119684.0,50221.0] ||  -> equal(power_class(intersection(union(u,identity_relation),complement(inverse(symmetric_difference(universal_class,u))))),complement(image(element_relation,symmetrization_of(symmetric_difference(universal_class,u)))))**.
% 299.85/300.43  123112[5:Rew:119684.0,50132.0] ||  -> equal(power_class(intersection(union(u,identity_relation),complement(singleton(symmetric_difference(universal_class,u))))),complement(image(element_relation,successor(symmetric_difference(universal_class,u)))))**.
% 299.85/300.43  86306[0:SpR:579.0,47693.0] ||  -> subclass(complement(union(image(element_relation,union(u,v)),w)),intersection(power_class(intersection(complement(u),complement(v))),complement(w)))*.
% 299.85/300.43  150221[5:SpR:579.0,144786.1] || equal(symmetric_difference(universal_class,image(element_relation,union(u,v))),universal_class) -> member(omega,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.43  150388[5:SpL:579.0,146252.0] || subclass(universal_class,power_class(intersection(complement(u),complement(v))))* -> equal(symmetric_difference(universal_class,image(element_relation,union(u,v))),universal_class).
% 299.85/300.43  179987[5:SpR:579.0,124837.1] || equal(symmetric_difference(universal_class,image(element_relation,union(u,v))),universal_class) -> member(identity_relation,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.43  86295[0:SpR:579.0,47693.0] ||  -> subclass(complement(union(u,image(element_relation,union(v,w)))),intersection(complement(u),power_class(intersection(complement(v),complement(w)))))*.
% 299.85/300.43  24884[5:Res:3389.1,5229.1] inductive(apply(u,v)) || member(image(u,singleton(v)),universal_class)* -> member(identity_relation,image(u,singleton(v))).
% 299.85/300.43  27460[0:Res:827.3,23.0] function(u) || member(v,universal_class) subclass(universal_class,intersection(w,x))* -> member(image(u,v),x)*.
% 299.85/300.43  27457[0:Res:827.3,25.1] function(u) || member(v,universal_class) subclass(universal_class,complement(w)) member(image(u,v),w)* -> .
% 299.85/300.43  27459[0:Res:827.3,22.0] function(u) || member(v,universal_class) subclass(universal_class,intersection(w,x))* -> member(image(u,v),w)*.
% 299.85/300.43  178264[12:SpL:43.0,168537.2] || member(u,universal_class)* member(restrict(v,w,universal_class),universal_class)* equal(sum_class(image(v,w)),u)* -> .
% 299.85/300.43  12380[5:SpR:6539.1,104.0] function(u) ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued1(u))),second(not_subclass_element(identity_relation,identity_relation))),single_valued3(u))**.
% 299.85/300.43  12385[5:SpR:6563.1,104.0] single_valued_class(u) ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued1(u))),second(not_subclass_element(identity_relation,identity_relation))),single_valued3(u))**.
% 299.85/300.43  16205[5:SpR:12378.1,104.0] function(u) ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued1(u))),range__dfg(identity_relation,v,w)),single_valued3(u))**.
% 299.85/300.43  16238[5:SpR:12382.1,104.0] single_valued_class(u) ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued1(u))),range__dfg(identity_relation,v,w)),single_valued3(u))**.
% 299.85/300.43  153705[5:Res:59.1,153534.1] || member(ordered_pair(u,v),compose(w,x))* equal(complement(image(w,image(x,singleton(u)))),universal_class)** -> .
% 299.85/300.43  178290[14:Res:59.1,178202.1] || member(ordered_pair(u,identity_relation),compose(v,w)) equal(complement(image(v,image(w,singleton(u)))),omega)** -> .
% 299.85/300.43  26408[0:Res:4733.1,727.1] inductive(singleton(u)) || member(u,image(successor_relation,singleton(u)))* -> equal(image(successor_relation,singleton(u)),singleton(u)).
% 299.85/300.43  123995[0:Res:49.1,8428.0] inductive(singleton(u)) ||  -> subclass(image(successor_relation,singleton(u)),v) equal(not_subclass_element(image(successor_relation,singleton(u)),v),u)**.
% 299.85/300.43  123053[5:Rew:119684.0,26688.0] ||  -> equal(symmetric_difference(complement(intersection(singleton(identity_relation),image(successor_relation,universal_class))),universal_class),symmetric_difference(universal_class,symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))))**.
% 299.85/300.43  178857[5:SpL:122857.0,153503.0] || subclass(universal_class,symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))) member(omega,intersection(singleton(identity_relation),image(successor_relation,universal_class)))* -> .
% 299.85/300.43  180114[5:SpL:122857.0,166443.0] || subclass(universal_class,symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))) member(identity_relation,intersection(singleton(identity_relation),image(successor_relation,universal_class)))* -> .
% 299.85/300.43  178856[5:SpL:122857.0,150227.0] || equal(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),universal_class) member(omega,intersection(singleton(identity_relation),image(successor_relation,universal_class)))* -> .
% 299.85/300.43  179673[5:SpR:150390.1,122857.0] || equal(complement(intersection(singleton(identity_relation),image(successor_relation,universal_class))),universal_class)** -> equal(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),universal_class).
% 299.85/300.43  180172[5:SpL:122857.0,166528.0] || equal(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),universal_class) member(identity_relation,intersection(singleton(identity_relation),image(successor_relation,universal_class)))* -> .
% 299.85/300.43  29486[5:MRR:26685.0,29469.1] || member(u,complement(intersection(singleton(identity_relation),image(successor_relation,universal_class))))* -> member(u,symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))).
% 299.85/300.43  27627[5:Res:5329.3,23.0] || member(u,universal_class) subclass(u,intersection(v,w))* -> equal(u,identity_relation) member(apply(choice,u),w)*.
% 299.85/300.43  32921[5:Res:5329.3,29473.0] || member(u,universal_class) subclass(u,domain_of(v)) -> equal(u,identity_relation) member(apply(choice,u),cantor(v))*.
% 299.85/300.43  27624[5:Res:5329.3,25.1] || member(u,universal_class) subclass(u,complement(v)) member(apply(choice,u),v)* -> equal(u,identity_relation).
% 299.85/300.43  27626[5:Res:5329.3,22.0] || member(u,universal_class) subclass(u,intersection(v,w))* -> equal(u,identity_relation) member(apply(choice,u),v)*.
% 299.85/300.43  123265[5:Rew:122359.0,123264.1] || member(complement(u),universal_class) member(apply(choice,complement(u)),complement(complement(u)))* -> equal(complement(u),identity_relation).
% 299.85/300.43  29781[5:MRR:27208.0,29544.2] || member(complement(complement(u)),universal_class) -> member(apply(choice,complement(complement(u))),u)* equal(complement(complement(u)),identity_relation).
% 299.85/300.43  47790[5:MRR:27992.0,47782.0] ||  -> equal(apply(choice,ordered_pair(u,v)),unordered_pair(u,singleton(v)))** equal(apply(choice,ordered_pair(u,v)),singleton(u)).
% 299.85/300.43  168495[12:Rew:168477.0,28689.1] single_valued_class(recursion(u,successor_relation,union_of_range_map)) || equal(recursion(u,successor_relation,identity_relation),identity_relation) -> member(ordinal_add(u,v),universal_class)*.
% 299.85/300.43  120727[0:Rew:119609.0,120684.0] || member(cross_product(u,singleton(v)),universal_class) -> member(ordered_pair(cross_product(u,singleton(v)),segment(universal_class,u,v)),domain_relation)*.
% 299.85/300.43  30957[5:MRR:30937.2,5184.0] || well_ordering(u,universal_class) subclass(singleton(least(u,v)),v) -> section(u,singleton(least(u,v)),v)*.
% 299.85/300.43  8067[5:Res:5404.2,944.0] || well_ordering(u,universal_class) -> equal(symmetric_difference(v,w),identity_relation) member(least(u,symmetric_difference(v,w)),union(v,w))*.
% 299.85/300.43  8061[5:Res:5404.2,596.0] || well_ordering(u,universal_class) -> equal(restrict(v,w,x),identity_relation) member(least(u,restrict(v,w,x)),v)*.
% 299.85/300.43  8096[5:Res:5404.2,5405.0] || well_ordering(u,universal_class) member(least(u,regular(v)),v)* -> equal(regular(v),identity_relation) equal(v,identity_relation).
% 299.85/300.43  33247[5:Res:5426.2,29469.0] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(compose(v,w),identity_relation) member(least(u,compose(v,w)),universal_class)*.
% 299.85/300.43  48810[5:Res:5403.2,22.0] || well_ordering(u,intersection(v,w)) -> equal(intersection(v,w),identity_relation) member(least(u,intersection(v,w)),v)*.
% 299.85/300.43  48811[5:Res:5403.2,23.0] || well_ordering(u,intersection(v,w)) -> equal(intersection(v,w),identity_relation) member(least(u,intersection(v,w)),w)*.
% 299.85/300.43  5771[5:Rew:5180.0,5365.2] || well_ordering(u,omega) -> equal(integer_of(v),identity_relation) equal(segment(u,singleton(v),least(u,singleton(v))),identity_relation)**.
% 299.85/300.43  48152[5:MRR:48151.2,5184.0] || well_ordering(u,v) subclass(singleton(least(u,v)),v) -> section(u,singleton(least(u,v)),v)*.
% 299.85/300.43  8273[5:Res:8249.0,5259.0] || well_ordering(u,v) -> equal(segment(u,restrict(v,w,x),least(u,restrict(v,w,x))),identity_relation)**.
% 299.85/300.43  8258[5:Res:8231.0,5215.0] || well_ordering(u,v) -> equal(intersection(w,v),identity_relation) member(least(u,intersection(w,v)),intersection(w,v))*.
% 299.85/300.43  47707[5:Res:47673.0,5215.0] || well_ordering(u,v) -> equal(complement(complement(v)),identity_relation) member(least(u,complement(complement(v))),complement(complement(v)))*.
% 299.85/300.43  8352[5:Res:8325.0,5215.0] || well_ordering(u,v) -> equal(intersection(v,w),identity_relation) member(least(u,intersection(v,w)),intersection(v,w))*.
% 299.85/300.43  166855[5:Res:162506.1,5259.0] || well_ordering(u,complement(v))* -> member(w,v)* equal(segment(u,singleton(w),least(u,singleton(w))),identity_relation)**.
% 299.85/300.43  123261[5:Rew:122359.0,123260.1] || well_ordering(u,complement(v)) member(least(u,complement(v)),complement(complement(v)))* -> equal(complement(v),identity_relation).
% 299.85/300.43  8284[5:Res:8243.0,5259.0] || well_ordering(u,union(v,w)) -> equal(segment(u,symmetric_difference(v,w),least(u,symmetric_difference(v,w))),identity_relation)**.
% 299.85/300.43  47705[3:Res:47673.0,3692.1] inductive(complement(complement(u))) || well_ordering(v,u) -> member(least(v,complement(complement(u))),complement(complement(u)))*.
% 299.85/300.43  32536[5:Res:5424.3,29469.0] || member(u,universal_class) well_ordering(v,u) -> equal(sum_class(u),identity_relation) member(least(v,sum_class(u)),universal_class)*.
% 299.85/300.43  28064[3:Res:8325.0,3692.1] inductive(intersection(u,v)) || well_ordering(w,u) -> member(least(w,intersection(u,v)),intersection(u,v))*.
% 299.85/300.43  183414[5:Res:12.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(unordered_pair(v,w),least(omega,universal_class))),identity_relation)**.
% 299.85/300.43  183459[5:Res:641.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(ordered_pair(v,w),least(omega,universal_class))),identity_relation)**.
% 299.85/300.43  183470[5:Res:5303.0,5490.0] || subclass(domain_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(ordered_pair(identity_relation,identity_relation),least(omega,domain_relation))),identity_relation)**.
% 299.85/300.43  183509[7:Res:125513.0,5490.0] || subclass(singleton(identity_relation),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,singleton(identity_relation)))),identity_relation)**.
% 299.85/300.43  51718[0:Res:20366.2,3924.0] || member(u,universal_class)* subclass(rest_relation,rest_of(v)) subclass(domain_of(v),w)* well_ordering(universal_class,w) -> .
% 299.85/300.43  116682[0:Res:27933.1,3924.0] || member(u,universal_class) subclass(union(v,w),x)* well_ordering(universal_class,x) -> member(u,complement(v))*.
% 299.85/300.43  117061[0:Res:27934.1,3924.0] || member(u,universal_class) subclass(union(v,w),x)* well_ordering(universal_class,x) -> member(u,complement(w))*.
% 299.85/300.43  46312[0:Res:24.2,3924.0] || member(u,v)* member(u,w)* subclass(intersection(w,v),x)* well_ordering(universal_class,x) -> .
% 299.85/300.43  180771[5:SpR:5449.2,160697.0] function(u) || well_ordering(universal_class,cross_product(universal_class,universal_class)) -> subclass(cantor(cross_product(u,singleton(least(universal_class,u)))),identity_relation)*.
% 299.85/300.43  111326[0:Res:24.2,111279.0] || member(singleton(singleton(u)),v)* member(singleton(singleton(u)),w)* well_ordering(universal_class,intersection(w,v))* -> .
% 299.85/300.43  163430[5:Res:162500.1,3691.0] || equal(complement(u),universal_class) well_ordering(v,complement(u))* -> subclass(w,x)* member(least(v,w),w)*.
% 299.85/300.43  166802[5:Res:162500.1,5259.0] || equal(complement(u),universal_class) well_ordering(v,complement(u))* -> equal(segment(v,w,least(v,w)),identity_relation)**.
% 299.85/300.43  166955[5:Res:162500.1,5215.0] || equal(complement(u),universal_class) well_ordering(v,complement(u))* -> equal(w,identity_relation) member(least(v,w),w)*.
% 299.85/300.43  35399[0:Res:5.0,3704.1] || member(u,universal_class)* well_ordering(v,universal_class) -> member(u,w)* member(least(v,complement(w)),complement(w))*.
% 299.85/300.43  46866[5:Res:28041.2,5405.0] inductive(regular(u)) || well_ordering(v,universal_class) member(least(v,regular(u)),u)* -> equal(u,identity_relation).
% 299.85/300.43  146502[5:Res:146436.1,3691.0] || equal(inverse(u),universal_class) well_ordering(v,inverse(u))* -> subclass(w,x)* member(least(v,w),w)*.
% 299.85/300.43  166838[5:Res:146436.1,5259.0] || equal(inverse(u),universal_class) well_ordering(v,inverse(u))* -> equal(segment(v,w,least(v,w)),identity_relation)**.
% 299.85/300.43  166991[5:Res:146436.1,5215.0] || equal(inverse(u),universal_class) well_ordering(v,inverse(u))* -> equal(w,identity_relation) member(least(v,w),w)*.
% 299.85/300.43  163603[5:Res:163531.1,3691.0] || equal(power_class(u),universal_class) well_ordering(v,power_class(u))* -> subclass(w,x)* member(least(v,w),w)*.
% 299.85/300.43  166797[5:Res:163531.1,5259.0] || equal(power_class(u),universal_class) well_ordering(v,power_class(u))* -> equal(segment(v,w,least(v,w)),identity_relation)**.
% 299.85/300.43  166950[5:Res:163531.1,5215.0] || equal(power_class(u),universal_class) well_ordering(v,power_class(u))* -> equal(w,identity_relation) member(least(v,w),w)*.
% 299.85/300.43  166796[5:Res:146432.1,5259.0] || equal(sum_class(u),universal_class) well_ordering(v,sum_class(u))* -> equal(segment(v,w,least(v,w)),identity_relation)**.
% 299.85/300.43  166949[5:Res:146432.1,5215.0] || equal(sum_class(u),universal_class) well_ordering(v,sum_class(u))* -> equal(w,identity_relation) member(least(v,w),w)*.
% 299.85/300.43  146444[5:Res:146432.1,3691.0] || equal(sum_class(u),universal_class) well_ordering(v,sum_class(u))* -> subclass(w,x)* member(least(v,w),w)*.
% 299.85/300.43  28071[3:Res:8231.0,3692.1] inductive(intersection(u,v)) || well_ordering(w,v) -> member(least(w,intersection(u,v)),intersection(u,v))*.
% 299.85/300.43  33529[3:Res:3564.3,29469.0] || connected(u,v) well_ordering(w,v) -> well_ordering(u,v) member(least(w,not_well_ordering(u,v)),universal_class)*.
% 299.85/300.43  152771[0:Res:122840.1,126.0] || well_ordering(universal_class,complement(u)) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  160566[5:Res:3564.3,153534.1] || connected(u,v) well_ordering(w,v)* equal(complement(not_well_ordering(u,v)),universal_class)** -> well_ordering(u,v).
% 299.85/300.43  5533[5:Rew:5180.0,4747.2] || member(u,v)* well_ordering(w,v)* -> equal(segment(w,singleton(u),least(w,singleton(u))),identity_relation)**.
% 299.85/300.43  5609[5:Rew:5180.0,5022.2] || subclass(u,v)* well_ordering(w,v)* -> equal(intersection(u,x),identity_relation)** member(least(w,u),u)*.
% 299.85/300.43  5587[5:Rew:5180.0,4895.2] || subclass(u,v)* well_ordering(w,v)* -> equal(intersection(x,u),identity_relation)** member(least(w,u),u)*.
% 299.85/300.43  39401[5:Res:29628.0,126.0] || subclass(u,v)* well_ordering(w,v)* -> equal(complement(complement(u)),identity_relation) member(least(w,u),u)*.
% 299.85/300.43  125674[7:Res:125624.1,126.0] || equal(u,singleton(identity_relation)) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  40703[0:Res:29471.1,126.0] || member(u,domain_of(u))* subclass(element_relation,v) well_ordering(w,v)* -> member(least(w,element_relation),element_relation)*.
% 299.85/300.43  40813[0:Res:29472.1,126.0] || member(u,rest_of(u))* subclass(element_relation,v) well_ordering(w,v)* -> member(least(w,element_relation),element_relation)*.
% 299.85/300.43  49007[3:Res:28061.2,23.0] inductive(intersection(u,v)) || well_ordering(w,intersection(u,v)) -> member(least(w,intersection(u,v)),v)*.
% 299.85/300.43  49006[3:Res:28061.2,22.0] inductive(intersection(u,v)) || well_ordering(w,intersection(u,v)) -> member(least(w,intersection(u,v)),u)*.
% 299.85/300.43  163431[5:Res:162500.1,3692.1] inductive(u) || equal(complement(v),universal_class) well_ordering(w,complement(v))* -> member(least(w,u),u)*.
% 299.85/300.43  46861[3:Res:28041.2,944.0] inductive(symmetric_difference(u,v)) || well_ordering(w,universal_class) -> member(least(w,symmetric_difference(u,v)),union(u,v))*.
% 299.85/300.43  84662[3:Res:45819.1,3692.1] inductive(u) || subclass(u,cantor(v))* well_ordering(w,domain_of(v))* -> member(least(w,u),u)*.
% 299.85/300.43  85135[0:Res:45819.1,3691.0] || subclass(u,cantor(v))* well_ordering(w,domain_of(v))* -> subclass(u,x)* member(least(w,u),u)*.
% 299.85/300.43  79049[5:Res:45819.1,5259.0] || subclass(u,cantor(v))* well_ordering(w,domain_of(v))* -> equal(segment(w,u,least(w,u)),identity_relation)**.
% 299.85/300.43  79048[5:Res:45819.1,5215.0] || subclass(u,cantor(v))* well_ordering(w,domain_of(v))* -> equal(u,identity_relation) member(least(w,u),u)*.
% 299.85/300.43  146503[5:Res:146436.1,3692.1] inductive(u) || equal(inverse(v),universal_class) well_ordering(w,inverse(v))* -> member(least(w,u),u)*.
% 299.85/300.43  163604[5:Res:163531.1,3692.1] inductive(u) || equal(power_class(v),universal_class) well_ordering(w,power_class(v))* -> member(least(w,u),u)*.
% 299.85/300.43  146445[5:Res:146432.1,3692.1] inductive(u) || equal(sum_class(v),universal_class) well_ordering(w,sum_class(v))* -> member(least(w,u),u)*.
% 299.85/300.43  46855[3:Res:28041.2,596.0] inductive(restrict(u,v,w)) || well_ordering(x,universal_class) -> member(least(x,restrict(u,v,w)),u)*.
% 299.85/300.43  51757[0:MRR:51724.0,641.0] || subclass(rest_relation,rest_of(u)) member(v,w)* subclass(w,x)* well_ordering(domain_of(u),x)* -> .
% 299.85/300.43  46331[0:Res:17.2,3924.0] || member(u,v)* member(w,x)* subclass(cross_product(x,v),y)* well_ordering(universal_class,y) -> .
% 299.85/300.43  189546[7:Rew:189431.0,165770.1] || member(u,universal_class) -> member(u,intersection(complement(v),singleton(identity_relation)))* member(u,union(v,complement(singleton(identity_relation)))).
% 299.85/300.43  189549[7:Rew:189431.0,165766.1] || member(u,universal_class) -> member(u,intersection(singleton(identity_relation),complement(v)))* member(u,union(complement(singleton(identity_relation)),v)).
% 299.85/300.43  189571[7:Rew:189431.0,179131.0] ||  -> equal(intersection(power_class(complement(singleton(identity_relation))),symmetric_difference(universal_class,image(element_relation,singleton(identity_relation)))),symmetric_difference(universal_class,image(element_relation,singleton(identity_relation))))**.
% 299.85/300.43  189628[7:Rew:189431.0,179130.0] ||  -> subclass(complement(symmetrization_of(image(element_relation,singleton(identity_relation)))),intersection(power_class(complement(singleton(identity_relation))),complement(inverse(image(element_relation,singleton(identity_relation))))))*.
% 299.85/300.43  189630[7:Rew:189431.0,179129.0] ||  -> subclass(complement(successor(image(element_relation,singleton(identity_relation)))),intersection(power_class(complement(singleton(identity_relation))),complement(singleton(image(element_relation,singleton(identity_relation))))))*.
% 299.85/300.43  189631[7:Rew:189431.0,179209.0] || member(not_subclass_element(power_class(complement(singleton(identity_relation))),u),image(element_relation,singleton(identity_relation)))* -> subclass(power_class(complement(singleton(identity_relation))),u).
% 299.85/300.43  189634[7:Rew:189431.0,179196.1] || member(u,symmetric_difference(complement(v),power_class(complement(singleton(identity_relation)))))* -> member(u,union(v,image(element_relation,singleton(identity_relation)))).
% 299.85/300.43  189638[7:Rew:189431.0,179190.1] || member(u,symmetric_difference(power_class(complement(singleton(identity_relation))),complement(v)))* -> member(u,union(image(element_relation,singleton(identity_relation)),v)).
% 299.85/300.43  191267[14:SpL:579.0,178298.1] || equal(image(element_relation,union(u,v)),singleton(identity_relation)) equal(power_class(intersection(complement(u),complement(v))),omega)** -> .
% 299.85/300.43  191283[14:SpR:579.0,178692.1] || equal(symmetric_difference(universal_class,image(element_relation,union(u,v))),omega) -> member(identity_relation,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.43  192320[14:SpL:122857.0,178042.0] || subclass(omega,symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))) member(identity_relation,intersection(singleton(identity_relation),image(successor_relation,universal_class)))* -> .
% 299.85/300.43  192321[14:SpL:122857.0,178723.0] || equal(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),omega) member(identity_relation,intersection(singleton(identity_relation),image(successor_relation,universal_class)))* -> .
% 299.85/300.43  193442[14:SpL:579.0,189298.1] || equal(image(element_relation,union(u,v)),omega) equal(power_class(intersection(complement(u),complement(v))),singleton(identity_relation))** -> .
% 299.85/300.43  193481[7:SpL:579.0,189302.1] || equal(image(element_relation,union(u,v)),universal_class) equal(power_class(intersection(complement(u),complement(v))),singleton(identity_relation))** -> .
% 299.85/300.43  193553[7:SpL:579.0,189483.0] || subclass(singleton(identity_relation),power_class(intersection(complement(u),complement(v))))* member(identity_relation,image(element_relation,union(u,v))) -> .
% 299.85/300.43  193629[12:SpR:191620.1,14.0] || member(u,universal_class) -> equal(unordered_pair(identity_relation,unordered_pair(sum_class(range_of(u)),singleton(v))),ordered_pair(sum_class(range_of(u)),v))**.
% 299.85/300.43  193689[12:SpL:191620.1,5244.1] || member(u,universal_class) member(sum_class(range_of(u)),domain_of(v))* equal(restrict(v,identity_relation,universal_class),identity_relation) -> .
% 299.85/300.43  194155[15:Res:192110.1,18.0] || equal(cross_product(u,v),singleton(singleton(identity_relation)))** -> equal(ordered_pair(first(singleton(identity_relation)),second(singleton(identity_relation))),singleton(identity_relation))**.
% 299.85/300.43  194895[5:SpR:168067.1,930.0] || equal(complement(complement(symmetric_difference(u,v))),universal_class) -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),identity_relation)**.
% 299.85/300.43  195091[5:SpR:120682.0,5588.1] ||  -> equal(cantor(cross_product(u,singleton(v))),identity_relation) member(regular(cantor(cross_product(u,singleton(v)))),segment(universal_class,u,v))*.
% 299.85/300.43  195181[17:Rew:195144.1,25664.2] || member(u,universal_class) subclass(domain_relation,regular(v)) member(ordered_pair(u,identity_relation),v)* -> equal(v,identity_relation).
% 299.85/300.43  195213[17:Rew:195144.1,20161.2] || member(u,universal_class) subclass(domain_relation,restrict(v,w,x))* -> member(ordered_pair(u,identity_relation),cross_product(w,x))*.
% 299.85/300.43  195214[17:Rew:195144.1,149216.2] || member(u,universal_class) subclass(domain_relation,intersection(v,w)) member(ordered_pair(u,identity_relation),symmetric_difference(v,w))* -> .
% 299.85/300.43  198066[17:Res:195614.1,9.0] || subclass(domain_relation,unordered_pair(u,v))* -> equal(singleton(singleton(singleton(identity_relation))),v) equal(singleton(singleton(singleton(identity_relation))),u).
% 299.85/300.43  198906[7:SpR:189471.0,164613.0] ||  -> subclass(symmetric_difference(power_class(complement(singleton(identity_relation))),symmetric_difference(universal_class,image(element_relation,singleton(identity_relation)))),union(image(element_relation,singleton(identity_relation)),identity_relation))*.
% 299.85/300.43  199007[7:SpL:930.0,125684.0] || equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),singleton(identity_relation))** -> member(identity_relation,complement(symmetric_difference(u,v))).
% 299.85/300.43  199276[15:Res:59.1,199206.0] || member(ordered_pair(u,singleton(identity_relation)),compose(v,w)) well_ordering(universal_class,image(v,image(w,singleton(u))))* -> .
% 299.85/300.43  200707[5:Rew:5380.1,200698.0] || equal(u,universal_class) -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v)** inductive(u).
% 299.85/300.43  200708[5:Rew:5380.2,200697.0] || equal(u,universal_class) -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)** inductive(u).
% 299.85/300.43  200831[5:SpL:200704.1,5244.1] || equal(u,universal_class) member(u,domain_of(v))* equal(restrict(v,identity_relation,universal_class),identity_relation)** -> inductive(u).
% 299.85/300.43  201372[7:SpR:189471.0,146221.1] || subclass(image(element_relation,singleton(identity_relation)),u) -> subclass(symmetric_difference(u,image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation))))*.
% 299.85/300.43  203344[5:Rew:119684.0,202923.2] || equal(identity_relation,u) member(v,universal_class) -> member(v,symmetric_difference(universal_class,w))* member(v,union(w,u))*.
% 299.85/300.43  203347[5:Rew:118446.0,202954.1] || equal(restrict(u,v,w),identity_relation) -> equal(symmetric_difference(u,cross_product(v,w)),union(u,cross_product(v,w)))**.
% 299.85/300.43  203348[5:Rew:118446.0,202953.1] || equal(restrict(u,v,w),identity_relation) -> equal(symmetric_difference(cross_product(v,w),u),union(cross_product(v,w),u))**.
% 299.85/300.43  204029[5:Res:203246.1,126.0] || equal(complement(u),identity_relation) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  206366[5:Res:201827.1,126.0] || subclass(complement(u),identity_relation) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  208133[12:SpL:43.0,168534.1] || member(restrict(u,v,universal_class),universal_class)* equal(rest_of(restrict(u,v,universal_class)),sum_class(image(u,v))) -> .
% 299.85/300.43  209055[17:Rew:208959.1,195510.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,omega)*.
% 299.85/300.43  209058[15:Rew:208959.1,8492.2] function(u) || equal(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,w)*.
% 299.85/300.43  209059[15:Rew:208959.1,5776.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,identity_relation)*.
% 299.85/300.43  209188[15:Rew:208959.1,208996.2] function(range_of(u)) function(v) || equal(domain_of(domain_of(w)),universal_class) -> compatible(v,w,inverse(u))*.
% 299.85/300.43  209289[15:SpL:208959.1,134.1] function(restrict(u,v,w)) || subclass(w,v) subclass(universal_class,w) -> section(u,w,v)*.
% 299.85/300.43  209290[15:SpL:208959.1,3644.0] function(restrict(u,v,w)) || equal(universal_class,w) subclass(w,v) -> section(u,w,v)*.
% 299.85/300.43  209776[17:SpR:209320.1,59.1] function(u) || member(ordered_pair(u,v),compose(w,x))* -> member(v,image(w,image(x,identity_relation))).
% 299.85/300.43  210636[17:SpR:5338.1,209752.1] function(first(regular(cross_product(u,v)))) ||  -> equal(cross_product(u,v),identity_relation) member(identity_relation,regular(cross_product(u,v)))*.
% 299.85/300.43  210892[5:Res:5329.3,208753.0] || member(u,universal_class) subclass(u,rest_of(apply(choice,u)))* subclass(element_relation,identity_relation) -> equal(u,identity_relation).
% 299.85/300.43  201370[5:SpR:122494.0,146221.1] || subclass(image(element_relation,symmetrization_of(identity_relation)),u) -> subclass(symmetric_difference(u,image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation))))*.
% 299.85/300.43  179072[5:SpL:122494.0,8157.0] || member(u,symmetric_difference(power_class(complement(inverse(identity_relation))),complement(v)))* -> member(u,union(image(element_relation,symmetrization_of(identity_relation)),v)).
% 299.85/300.43  179078[5:SpL:122494.0,8157.0] || member(u,symmetric_difference(complement(v),power_class(complement(inverse(identity_relation)))))* -> member(u,union(v,image(element_relation,symmetrization_of(identity_relation)))).
% 299.85/300.43  179091[5:Rew:122494.0,179059.1] || member(not_subclass_element(power_class(complement(inverse(identity_relation))),u),image(element_relation,symmetrization_of(identity_relation)))* -> subclass(power_class(complement(inverse(identity_relation))),u).
% 299.85/300.43  179011[5:SpR:122494.0,86317.0] ||  -> subclass(complement(successor(image(element_relation,symmetrization_of(identity_relation)))),intersection(power_class(complement(inverse(identity_relation))),complement(singleton(image(element_relation,symmetrization_of(identity_relation))))))*.
% 299.85/300.43  179012[5:SpR:122494.0,86316.0] ||  -> subclass(complement(symmetrization_of(image(element_relation,symmetrization_of(identity_relation)))),intersection(power_class(complement(inverse(identity_relation))),complement(inverse(image(element_relation,symmetrization_of(identity_relation))))))*.
% 299.85/300.43  198904[5:SpR:122494.0,164613.0] ||  -> subclass(symmetric_difference(power_class(complement(inverse(identity_relation))),symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation)))),union(image(element_relation,symmetrization_of(identity_relation)),identity_relation))*.
% 299.85/300.43  179013[5:SpR:122494.0,146648.0] ||  -> equal(intersection(power_class(complement(inverse(identity_relation))),symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation)))),symmetric_difference(universal_class,image(element_relation,symmetrization_of(identity_relation))))**.
% 299.85/300.43  165861[5:SpR:124149.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),symmetrization_of(identity_relation)))* member(u,union(v,complement(inverse(identity_relation)))).
% 299.85/300.43  165857[5:SpR:124149.0,689.1] || member(u,universal_class) -> member(u,intersection(symmetrization_of(identity_relation),complement(v)))* member(u,union(complement(inverse(identity_relation)),v)).
% 299.85/300.43  212359[5:Res:212188.0,5490.0] || subclass(omega,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(least(element_relation,omega),least(omega,omega))),identity_relation)**.
% 299.85/300.43  212521[20:Res:212353.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(regular(symmetrization_of(identity_relation)),least(omega,universal_class))),identity_relation)**.
% 299.85/300.43  212537[5:Res:212362.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(least(element_relation,omega),least(omega,universal_class))),identity_relation)**.
% 299.85/300.43  213852[17:Res:195387.1,126.0] || subclass(domain_relation,rotate(u)) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  213869[17:Res:195387.1,8157.0] || subclass(domain_relation,rotate(symmetric_difference(complement(u),complement(v)))) -> member(ordered_pair(ordered_pair(w,identity_relation),x),union(u,v))*.
% 299.85/300.43  213940[17:SpR:5338.1,195388.1] || subclass(domain_relation,flip(u)) -> equal(cross_product(v,w),identity_relation) member(ordered_pair(regular(cross_product(v,w)),identity_relation),u)*.
% 299.85/300.43  213954[17:Res:195388.1,126.0] || subclass(domain_relation,flip(u)) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  213971[17:Res:195388.1,8157.0] || subclass(domain_relation,flip(symmetric_difference(complement(u),complement(v)))) -> member(ordered_pair(ordered_pair(w,x),identity_relation),union(u,v))*.
% 299.85/300.43  215525[17:SoR:210090.0,4792.2] single_valued_class(apply(choice,omega)) || equal(apply(choice,omega),cross_product(universal_class,universal_class))** -> equal(apply(choice,omega),identity_relation).
% 299.85/300.43  216554[17:SpL:8659.0,196829.1] || member(intersection(complement(u),complement(inverse(u))),universal_class)* equal(rest_of(complement(image(element_relation,symmetrization_of(u)))),rest_relation) -> .
% 299.85/300.43  216683[17:SpL:8660.0,196829.1] || member(intersection(complement(u),complement(singleton(u))),universal_class)* equal(rest_of(complement(image(element_relation,successor(u)))),rest_relation) -> .
% 299.85/300.43  216719[12:Rew:119684.0,216648.1,22454.0,216648.1] || member(u,universal_class) -> equal(complement(image(element_relation,successor(sum_class(range_of(u))))),power_class(symmetric_difference(universal_class,sum_class(range_of(u)))))**.
% 299.85/300.43  217110[0:SpR:120682.0,20366.2] || member(u,universal_class) subclass(rest_relation,rest_of(cross_product(v,singleton(w))))* -> member(u,segment(universal_class,v,w))*.
% 299.85/300.43  217484[5:SpR:579.0,203760.1] || equal(union(image(element_relation,union(u,v)),identity_relation),identity_relation) -> member(identity_relation,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.43  217557[5:SpR:579.0,203762.1] || equal(union(image(element_relation,union(u,v)),identity_relation),identity_relation) -> member(omega,power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.43  217604[5:SpR:122711.0,47693.0] ||  -> subclass(complement(union(intersection(complement(u),union(v,identity_relation)),w)),intersection(union(u,symmetric_difference(universal_class,v)),complement(w)))*.
% 299.85/300.43  217608[5:SpR:122711.0,203762.1] || equal(union(intersection(complement(u),union(v,identity_relation)),identity_relation),identity_relation)** -> member(omega,union(u,symmetric_difference(universal_class,v))).
% 299.85/300.43  217620[5:SpR:122711.0,203760.1] || equal(union(intersection(complement(u),union(v,identity_relation)),identity_relation),identity_relation)** -> member(identity_relation,union(u,symmetric_difference(universal_class,v))).
% 299.85/300.43  217627[7:SpR:122711.0,167394.0] ||  -> member(identity_relation,image(element_relation,union(u,symmetric_difference(universal_class,v))))* member(identity_relation,power_class(intersection(complement(u),union(v,identity_relation)))).
% 299.85/300.43  217640[5:SpR:122711.0,47693.0] ||  -> subclass(complement(union(u,intersection(complement(v),union(w,identity_relation)))),intersection(complement(u),union(v,symmetric_difference(universal_class,w))))*.
% 299.85/300.43  217680[7:SpR:189471.0,122711.0] ||  -> equal(complement(intersection(power_class(complement(singleton(identity_relation))),union(u,identity_relation))),union(image(element_relation,singleton(identity_relation)),symmetric_difference(universal_class,u)))**.
% 299.85/300.43  217682[5:SpR:122494.0,122711.0] ||  -> equal(complement(intersection(power_class(complement(inverse(identity_relation))),union(u,identity_relation))),union(image(element_relation,symmetrization_of(identity_relation)),symmetric_difference(universal_class,u)))**.
% 299.85/300.43  217713[5:SpL:122711.0,111306.0] || equal(complement(union(u,symmetric_difference(universal_class,v))),universal_class) well_ordering(universal_class,intersection(complement(u),union(v,identity_relation)))* -> .
% 299.85/300.43  217716[5:SpL:122711.0,3634.0] || subclass(universal_class,complement(union(u,symmetric_difference(universal_class,v)))) -> member(singleton(w),intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  217723[7:SpL:122711.0,189307.0] || equal(complement(union(u,symmetric_difference(universal_class,v))),singleton(identity_relation)) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  217734[14:SpL:122711.0,178298.1] || equal(intersection(complement(u),union(v,identity_relation)),singleton(identity_relation))** equal(union(u,symmetric_difference(universal_class,v)),omega) -> .
% 299.85/300.43  217743[7:SpL:122711.0,189302.1] || equal(intersection(complement(u),union(v,identity_relation)),universal_class)** equal(union(u,symmetric_difference(universal_class,v)),singleton(identity_relation)) -> .
% 299.85/300.43  217744[14:SpL:122711.0,189298.1] || equal(intersection(complement(u),union(v,identity_relation)),omega)** equal(union(u,symmetric_difference(universal_class,v)),singleton(identity_relation)) -> .
% 299.85/300.43  217747[7:SpL:122711.0,189483.0] || subclass(singleton(identity_relation),union(u,symmetric_difference(universal_class,v))) member(identity_relation,intersection(complement(u),union(v,identity_relation)))* -> .
% 299.85/300.43  217881[5:SpL:27.0,5360.0] || subclass(omega,union(u,v)) member(w,intersection(complement(u),complement(v)))* -> equal(integer_of(w),identity_relation).
% 299.85/300.43  217893[7:SpL:189471.0,5360.0] || subclass(omega,power_class(complement(singleton(identity_relation)))) member(u,image(element_relation,singleton(identity_relation)))* -> equal(integer_of(u),identity_relation).
% 299.85/300.43  217895[5:SpL:122494.0,5360.0] || subclass(omega,power_class(complement(inverse(identity_relation)))) member(u,image(element_relation,symmetrization_of(identity_relation)))* -> equal(integer_of(u),identity_relation).
% 299.85/300.43  218201[5:SpR:122708.0,47693.0] ||  -> subclass(complement(union(intersection(union(u,identity_relation),complement(v)),w)),intersection(union(symmetric_difference(universal_class,u),v),complement(w)))*.
% 299.85/300.43  218205[5:SpR:122708.0,203762.1] || equal(union(intersection(union(u,identity_relation),complement(v)),identity_relation),identity_relation)** -> member(omega,union(symmetric_difference(universal_class,u),v)).
% 299.85/300.43  218217[5:SpR:122708.0,203760.1] || equal(union(intersection(union(u,identity_relation),complement(v)),identity_relation),identity_relation)** -> member(identity_relation,union(symmetric_difference(universal_class,u),v)).
% 299.85/300.43  218224[7:SpR:122708.0,167394.0] ||  -> member(identity_relation,image(element_relation,union(symmetric_difference(universal_class,u),v)))* member(identity_relation,power_class(intersection(union(u,identity_relation),complement(v)))).
% 299.85/300.43  218237[5:SpR:122708.0,47693.0] ||  -> subclass(complement(union(u,intersection(union(v,identity_relation),complement(w)))),intersection(complement(u),union(symmetric_difference(universal_class,v),w)))*.
% 299.85/300.43  218268[7:SpR:189471.0,122708.0] ||  -> equal(complement(intersection(union(u,identity_relation),power_class(complement(singleton(identity_relation))))),union(symmetric_difference(universal_class,u),image(element_relation,singleton(identity_relation))))**.
% 299.85/300.43  218270[5:SpR:122494.0,122708.0] ||  -> equal(complement(intersection(union(u,identity_relation),power_class(complement(inverse(identity_relation))))),union(symmetric_difference(universal_class,u),image(element_relation,symmetrization_of(identity_relation))))**.
% 299.85/300.43  218310[5:SpL:122708.0,111306.0] || equal(complement(union(symmetric_difference(universal_class,u),v)),universal_class) well_ordering(universal_class,intersection(union(u,identity_relation),complement(v)))* -> .
% 299.85/300.43  218313[5:SpL:122708.0,3634.0] || subclass(universal_class,complement(union(symmetric_difference(universal_class,u),v))) -> member(singleton(w),intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  218320[7:SpL:122708.0,189307.0] || equal(complement(union(symmetric_difference(universal_class,u),v)),singleton(identity_relation)) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  218332[14:SpL:122708.0,178298.1] || equal(intersection(union(u,identity_relation),complement(v)),singleton(identity_relation))** equal(union(symmetric_difference(universal_class,u),v),omega) -> .
% 299.85/300.43  218341[7:SpL:122708.0,189302.1] || equal(intersection(union(u,identity_relation),complement(v)),universal_class)** equal(union(symmetric_difference(universal_class,u),v),singleton(identity_relation)) -> .
% 299.85/300.43  218342[14:SpL:122708.0,189298.1] || equal(intersection(union(u,identity_relation),complement(v)),omega)** equal(union(symmetric_difference(universal_class,u),v),singleton(identity_relation)) -> .
% 299.85/300.43  218345[7:SpL:122708.0,189483.0] || subclass(singleton(identity_relation),union(symmetric_difference(universal_class,u),v)) member(identity_relation,intersection(union(u,identity_relation),complement(v)))* -> .
% 299.85/300.43  218501[5:SpL:8659.0,205349.1] || member(intersection(complement(u),complement(inverse(u))),universal_class)* equal(singleton(complement(image(element_relation,symmetrization_of(u)))),identity_relation) -> .
% 299.85/300.43  218502[5:SpL:8660.0,205349.1] || member(intersection(complement(u),complement(singleton(u))),universal_class)* equal(singleton(complement(image(element_relation,successor(u)))),identity_relation) -> .
% 299.85/300.43  219270[5:SpL:579.0,207228.0] || subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* -> equal(symmetric_difference(universal_class,image(element_relation,union(u,v))),identity_relation).
% 299.85/300.43  220077[17:SpR:209749.1,17.2] function(u) || member(u,v)* member(identity_relation,w) -> member(singleton(singleton(identity_relation)),cross_product(w,v))*.
% 299.85/300.43  220619[20:Res:212352.1,126.0] || subclass(inverse(identity_relation),u) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  221166[17:Res:195387.1,776.0] || subclass(domain_relation,rotate(cantor(u)))* subclass(domain_of(u),v)* -> member(ordered_pair(ordered_pair(w,identity_relation),x),v)*.
% 299.85/300.43  221168[17:Res:195388.1,776.0] || subclass(domain_relation,flip(cantor(u)))* subclass(domain_of(u),v)* -> member(ordered_pair(ordered_pair(w,x),identity_relation),v)*.
% 299.85/300.43  221188[5:Res:29628.0,776.0] || subclass(domain_of(u),v) -> equal(complement(complement(cantor(u))),identity_relation) member(regular(complement(complement(cantor(u)))),v)*.
% 299.85/300.43  221414[20:Res:214397.1,126.0] || subclass(symmetrization_of(identity_relation),u) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  221708[12:SpR:9093.0,191619.1] || member(restrict(cross_product(u,universal_class),v,w),universal_class)* -> equal(integer_of(sum_class(image(cross_product(v,w),u))),identity_relation).
% 299.85/300.43  221709[12:SpR:9093.0,191620.1] || member(restrict(cross_product(u,universal_class),v,w),universal_class)* -> equal(singleton(sum_class(image(cross_product(v,w),u))),identity_relation).
% 299.85/300.43  221718[12:SpR:9093.0,192415.1] || member(restrict(cross_product(u,universal_class),v,w),universal_class) -> member(identity_relation,ordered_pair(image(cross_product(v,w),u),x))*.
% 299.85/300.43  221726[12:SpL:9093.0,178263.0] || member(sum_class(image(cross_product(u,v),w)),universal_class) member(restrict(cross_product(w,universal_class),u,v),universal_class)* -> .
% 299.85/300.43  221727[17:SpL:9093.0,195220.1] || member(restrict(cross_product(u,universal_class),v,w),universal_class)* equal(sum_class(image(cross_product(v,w),u)),identity_relation) -> .
% 299.85/300.43  221735[5:SpL:9093.0,208638.0] || member(inverse(restrict(cross_product(u,universal_class),v,w)),image(cross_product(v,w),u))* subclass(element_relation,identity_relation) -> .
% 299.85/300.43  221904[7:Res:189491.0,34675.0] ||  -> subclass(singleton(not_subclass_element(u,intersection(complement(singleton(identity_relation)),u))),singleton(identity_relation))* subclass(u,intersection(complement(singleton(identity_relation)),u)).
% 299.85/300.43  221906[5:Res:165860.0,34675.0] ||  -> subclass(singleton(not_subclass_element(u,intersection(complement(inverse(identity_relation)),u))),symmetrization_of(identity_relation))* subclass(u,intersection(complement(inverse(identity_relation)),u)).
% 299.85/300.43  221910[5:Res:118490.1,34675.0] || member(not_subclass_element(u,intersection(symmetric_difference(universal_class,v),u)),complement(v))* -> subclass(u,intersection(symmetric_difference(universal_class,v),u)).
% 299.85/300.43  222231[5:Res:5343.1,119659.0] || member(regular(restrict(symmetric_difference(universal_class,u),v,w)),u)* -> equal(restrict(symmetric_difference(universal_class,u),v,w),identity_relation).
% 299.85/300.43  222232[5:Res:5343.1,119626.0] ||  -> equal(restrict(symmetric_difference(universal_class,u),v,w),identity_relation) member(regular(restrict(symmetric_difference(universal_class,u),v,w)),complement(u))*.
% 299.85/300.43  222300[5:Res:5329.3,222174.0] || member(u,universal_class) subclass(u,symmetrization_of(identity_relation)) -> equal(u,identity_relation) member(apply(choice,u),inverse(identity_relation))*.
% 299.85/300.43  222731[5:Res:5329.3,222432.0] || member(u,universal_class) subclass(u,complement(complement(v))) -> equal(u,identity_relation) member(apply(choice,u),v)*.
% 299.85/300.43  222738[0:Res:827.3,222432.0] function(u) || member(v,universal_class) subclass(universal_class,complement(complement(w))) -> member(image(u,v),w)*.
% 299.85/300.43  222763[5:Res:5403.2,222432.0] || well_ordering(u,complement(complement(v))) -> equal(complement(complement(v)),identity_relation) member(least(u,complement(complement(v))),v)*.
% 299.85/300.43  222765[3:Res:28061.2,222432.0] inductive(complement(complement(u))) || well_ordering(v,complement(complement(u))) -> member(least(v,complement(complement(u))),u)*.
% 299.85/300.43  223061[5:SpL:122708.0,218119.0] || subclass(universal_class,complement(union(symmetric_difference(universal_class,u),v))) -> member(power_class(identity_relation),intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  223063[5:SpL:122711.0,218119.0] || subclass(universal_class,complement(union(u,symmetric_difference(universal_class,v)))) -> member(power_class(identity_relation),intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  224282[5:SpL:122708.0,219310.0] || subclass(union(symmetric_difference(universal_class,u),v),identity_relation) -> equal(complement(successor(intersection(union(u,identity_relation),complement(v)))),identity_relation)**.
% 299.85/300.43  224284[5:SpL:122711.0,219310.0] || subclass(union(u,symmetric_difference(universal_class,v)),identity_relation) -> equal(complement(successor(intersection(complement(u),union(v,identity_relation)))),identity_relation)**.
% 299.85/300.43  224295[5:SpL:579.0,219310.0] || subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* -> equal(complement(successor(image(element_relation,union(u,v)))),identity_relation).
% 299.85/300.43  224336[5:SpL:122708.0,219326.1] || equal(successor(intersection(union(u,identity_relation),complement(v))),identity_relation)** subclass(union(symmetric_difference(universal_class,u),v),identity_relation) -> .
% 299.85/300.43  224338[5:SpL:122711.0,219326.1] || equal(successor(intersection(complement(u),union(v,identity_relation))),identity_relation)** subclass(union(u,symmetric_difference(universal_class,v)),identity_relation) -> .
% 299.85/300.43  224349[5:SpL:579.0,219326.1] || equal(successor(image(element_relation,union(u,v))),identity_relation) subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* -> .
% 299.85/300.43  224372[5:SpL:122708.0,219370.0] || subclass(union(symmetric_difference(universal_class,u),v),identity_relation) subclass(successor(intersection(union(u,identity_relation),complement(v))),identity_relation)* -> .
% 299.85/300.43  224374[5:SpL:122711.0,219370.0] || subclass(union(u,symmetric_difference(universal_class,v)),identity_relation) subclass(successor(intersection(complement(u),union(v,identity_relation))),identity_relation)* -> .
% 299.85/300.43  224385[5:SpL:579.0,219370.0] || subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* subclass(successor(image(element_relation,union(u,v))),identity_relation) -> .
% 299.85/300.43  224441[5:Rew:118447.0,224425.2] || subclass(omega,symmetric_difference(universal_class,u)) -> equal(integer_of(regular(union(u,identity_relation))),identity_relation)** equal(union(u,identity_relation),identity_relation).
% 299.85/300.43  224445[5:Obv:224415.2] || subclass(omega,u) subclass(complement(u),omega)* -> equal(complement(u),identity_relation) equal(regular(complement(u)),identity_relation).
% 299.85/300.43  224458[5:SpL:122708.0,219414.0] || subclass(union(symmetric_difference(universal_class,u),v),identity_relation) -> equal(complement(symmetrization_of(intersection(union(u,identity_relation),complement(v)))),identity_relation)**.
% 299.85/300.43  224460[5:SpL:122711.0,219414.0] || subclass(union(u,symmetric_difference(universal_class,v)),identity_relation) -> equal(complement(symmetrization_of(intersection(complement(u),union(v,identity_relation)))),identity_relation)**.
% 299.85/300.43  224471[5:SpL:579.0,219414.0] || subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* -> equal(complement(symmetrization_of(image(element_relation,union(u,v)))),identity_relation).
% 299.85/300.43  224503[5:SpL:122708.0,219429.1] || equal(symmetrization_of(intersection(union(u,identity_relation),complement(v))),identity_relation)** subclass(union(symmetric_difference(universal_class,u),v),identity_relation) -> .
% 299.85/300.43  224505[5:SpL:122711.0,219429.1] || equal(symmetrization_of(intersection(complement(u),union(v,identity_relation))),identity_relation)** subclass(union(u,symmetric_difference(universal_class,v)),identity_relation) -> .
% 299.85/300.43  224516[5:SpL:579.0,219429.1] || equal(symmetrization_of(image(element_relation,union(u,v))),identity_relation) subclass(power_class(intersection(complement(u),complement(v))),identity_relation)* -> .
% 299.85/300.43  224631[20:SpL:122708.0,220259.1] || subclass(universal_class,intersection(union(u,identity_relation),complement(v))) subclass(symmetrization_of(identity_relation),union(symmetric_difference(universal_class,u),v))* -> .
% 299.85/300.43  224633[20:SpL:122711.0,220259.1] || subclass(universal_class,intersection(complement(u),union(v,identity_relation))) subclass(symmetrization_of(identity_relation),union(u,symmetric_difference(universal_class,v)))* -> .
% 299.85/300.43  224644[20:SpL:579.0,220259.1] || subclass(universal_class,image(element_relation,union(u,v))) subclass(symmetrization_of(identity_relation),power_class(intersection(complement(u),complement(v))))* -> .
% 299.85/300.43  224723[17:Res:195279.2,2.0] || member(u,universal_class) equal(successor(u),identity_relation) subclass(successor_relation,v) -> member(ordered_pair(u,identity_relation),v)*.
% 299.85/300.43  224830[5:Res:106230.1,7571.2] || member(u,universal_class) subclass(universal_class,complement(sum_class(singleton(power_class(u)))))* -> equal(sum_class(singleton(power_class(u))),identity_relation).
% 299.85/300.43  224833[5:Res:5288.2,7571.2] || subclass(omega,u) member(v,universal_class) subclass(universal_class,complement(u))* -> equal(integer_of(power_class(v)),identity_relation)**.
% 299.85/300.43  225108[5:SpL:122708.0,222523.0] || equal(complement(complement(union(symmetric_difference(universal_class,u),v))),identity_relation) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  225110[5:SpL:122711.0,222523.0] || equal(complement(complement(union(u,symmetric_difference(universal_class,v)))),identity_relation) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  225141[5:SpL:122708.0,222635.0] || equal(complement(complement(union(symmetric_difference(universal_class,u),v))),identity_relation) -> member(omega,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  225143[5:SpL:122711.0,222635.0] || equal(complement(complement(union(u,symmetric_difference(universal_class,v)))),identity_relation) -> member(omega,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  225174[5:SpL:122708.0,222741.0] || equal(union(union(symmetric_difference(universal_class,u),v),identity_relation),identity_relation) -> member(omega,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  225176[5:SpL:122711.0,222741.0] || equal(union(union(u,symmetric_difference(universal_class,v)),identity_relation),identity_relation) -> member(omega,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  225187[5:SpL:579.0,222741.0] || equal(union(power_class(intersection(complement(u),complement(v))),identity_relation),identity_relation)** -> member(omega,image(element_relation,union(u,v))).
% 299.85/300.43  225222[5:SpL:122708.0,222742.0] || equal(symmetric_difference(universal_class,union(symmetric_difference(universal_class,u),v)),universal_class) -> member(omega,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  225224[5:SpL:122711.0,222742.0] || equal(symmetric_difference(universal_class,union(u,symmetric_difference(universal_class,v))),universal_class) -> member(omega,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  225235[5:SpL:579.0,222742.0] || equal(symmetric_difference(universal_class,power_class(intersection(complement(u),complement(v)))),universal_class)** -> member(omega,image(element_relation,union(u,v))).
% 299.85/300.43  225250[5:SpL:122708.0,222758.0] || equal(union(union(symmetric_difference(universal_class,u),v),identity_relation),identity_relation) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  225252[5:SpL:122711.0,222758.0] || equal(union(union(u,symmetric_difference(universal_class,v)),identity_relation),identity_relation) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  225263[5:SpL:579.0,222758.0] || equal(union(power_class(intersection(complement(u),complement(v))),identity_relation),identity_relation)** -> member(identity_relation,image(element_relation,union(u,v))).
% 299.85/300.43  225280[14:SpL:122708.0,222759.0] || equal(symmetric_difference(universal_class,union(symmetric_difference(universal_class,u),v)),omega) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  225282[14:SpL:122711.0,222759.0] || equal(symmetric_difference(universal_class,union(u,symmetric_difference(universal_class,v))),omega) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  225293[14:SpL:579.0,222759.0] || equal(symmetric_difference(universal_class,power_class(intersection(complement(u),complement(v)))),omega)** -> member(identity_relation,image(element_relation,union(u,v))).
% 299.85/300.43  225308[5:SpL:122708.0,222760.0] || equal(symmetric_difference(universal_class,union(symmetric_difference(universal_class,u),v)),universal_class) -> member(identity_relation,intersection(union(u,identity_relation),complement(v)))*.
% 299.85/300.43  225310[5:SpL:122711.0,222760.0] || equal(symmetric_difference(universal_class,union(u,symmetric_difference(universal_class,v))),universal_class) -> member(identity_relation,intersection(complement(u),union(v,identity_relation)))*.
% 299.85/300.43  225321[5:SpL:579.0,222760.0] || equal(symmetric_difference(universal_class,power_class(intersection(complement(u),complement(v)))),universal_class)** -> member(identity_relation,image(element_relation,union(u,v))).
% 299.85/300.43  225431[5:Res:223085.1,18.0] || equal(complement(complement(cross_product(u,v))),universal_class)** -> equal(ordered_pair(first(power_class(identity_relation)),second(power_class(identity_relation))),power_class(identity_relation))**.
% 299.85/300.43  225642[0:SpL:69.0,7606.2] || member(image(u,singleton(v)),universal_class)* subclass(universal_class,complement(w)) member(apply(u,v),w)* -> .
% 299.85/300.43  225674[5:Res:106230.1,7606.2] || member(u,universal_class) subclass(universal_class,complement(sum_class(singleton(sum_class(u)))))* -> equal(sum_class(singleton(sum_class(u))),identity_relation).
% 299.85/300.43  225677[5:Res:5288.2,7606.2] || subclass(omega,u) member(v,universal_class) subclass(universal_class,complement(u))* -> equal(integer_of(sum_class(v)),identity_relation)**.
% 299.85/300.43  225913[5:Res:608.1,29630.0] || member(apply(choice,regular(domain_of(u))),cantor(u))* -> equal(regular(domain_of(u)),identity_relation) equal(domain_of(u),identity_relation).
% 299.85/300.43  225923[5:Res:5288.2,29630.0] || subclass(omega,u) -> equal(integer_of(apply(choice,regular(u))),identity_relation)** equal(regular(u),identity_relation) equal(u,identity_relation).
% 299.85/300.43  225938[5:Rew:5576.1,225937.1] || member(apply(choice,u),intersection(v,singleton(u)))* -> equal(u,identity_relation) equal(intersection(v,singleton(u)),identity_relation).
% 299.85/300.43  225940[5:Rew:5601.1,225939.1] || member(apply(choice,u),intersection(singleton(u),v))* -> equal(u,identity_relation) equal(intersection(singleton(u),v),identity_relation).
% 299.85/300.43  226050[20:SpL:122708.0,225873.1] || equal(intersection(union(u,identity_relation),complement(v)),universal_class)** equal(union(symmetric_difference(universal_class,u),v),symmetrization_of(identity_relation)) -> .
% 299.85/300.43  226052[20:SpL:122711.0,225873.1] || equal(intersection(complement(u),union(v,identity_relation)),universal_class)** equal(union(u,symmetric_difference(universal_class,v)),symmetrization_of(identity_relation)) -> .
% 299.85/300.43  226061[20:SpL:579.0,225873.1] || equal(image(element_relation,union(u,v)),universal_class) equal(power_class(intersection(complement(u),complement(v))),symmetrization_of(identity_relation))** -> .
% 299.85/300.43  226147[5:SpL:930.0,203648.0] || equal(complement(symmetric_difference(complement(intersection(u,v)),union(u,v))),identity_relation)** -> member(identity_relation,complement(symmetric_difference(u,v))).
% 299.85/300.43  226381[5:Res:5288.2,964.0] || subclass(omega,compose_class(u)) -> equal(integer_of(singleton(singleton(singleton(v)))),identity_relation)** equal(compose(u,singleton(v)),v)**.
% 299.85/300.43  227087[5:Res:5288.2,704.0] || subclass(omega,cantor(u)) -> equal(integer_of(not_subclass_element(complement(domain_of(u)),v)),identity_relation)** subclass(complement(domain_of(u)),v).
% 299.85/300.43  227205[5:Res:227090.0,5259.0] || well_ordering(u,complement(cantor(v))) -> equal(segment(u,complement(domain_of(v)),least(u,complement(domain_of(v)))),identity_relation)**.
% 299.85/300.43  227386[5:Res:8836.1,2.0] || subclass(symmetrization_of(u),v) -> equal(symmetric_difference(u,inverse(u)),identity_relation) member(regular(symmetric_difference(u,inverse(u))),v)*.
% 299.85/300.43  227535[5:Res:5288.2,5602.0] || subclass(omega,u) -> equal(integer_of(regular(intersection(complement(u),v))),identity_relation)** equal(intersection(complement(u),v),identity_relation).
% 299.85/300.43  227567[5:Rew:118447.0,227464.1] || member(regular(intersection(union(u,identity_relation),v)),symmetric_difference(universal_class,u))* -> equal(intersection(union(u,identity_relation),v),identity_relation).
% 299.85/300.43  227600[5:MRR:227520.0,29542.1] ||  -> member(regular(intersection(complement(union(u,v)),w)),complement(u))* equal(intersection(complement(union(u,v)),w),identity_relation).
% 299.85/300.43  227601[5:MRR:227519.0,29542.1] ||  -> member(regular(intersection(complement(union(u,v)),w)),complement(v))* equal(intersection(complement(union(u,v)),w),identity_relation).
% 299.85/300.43  227952[5:Res:5288.2,5577.0] || subclass(omega,u) -> equal(integer_of(regular(intersection(v,complement(u)))),identity_relation)** equal(intersection(v,complement(u)),identity_relation).
% 299.85/300.43  228267[5:Rew:118447.0,227893.1] || member(regular(intersection(u,union(v,identity_relation))),symmetric_difference(universal_class,v))* -> equal(intersection(u,union(v,identity_relation)),identity_relation).
% 299.85/300.43  228307[5:MRR:227938.0,29542.1] ||  -> member(regular(intersection(u,complement(union(v,w)))),complement(v))* equal(intersection(u,complement(union(v,w))),identity_relation).
% 299.85/300.43  228308[5:MRR:227937.0,29542.1] ||  -> member(regular(intersection(u,complement(union(v,w)))),complement(w))* equal(intersection(u,complement(union(v,w))),identity_relation).
% 299.85/300.43  228656[5:Res:8902.1,2.0] || subclass(successor(u),v) -> equal(symmetric_difference(u,singleton(u)),identity_relation) member(regular(symmetric_difference(u,singleton(u))),v)*.
% 299.85/300.43  228749[5:Res:5288.2,8086.1] || subclass(omega,u) subclass(universal_class,regular(u))* -> equal(integer_of(unordered_pair(v,w)),identity_relation)** equal(u,identity_relation).
% 299.85/300.43  228754[5:Res:5172.1,8086.1] || subclass(universal_class,symmetric_difference(u,v)) subclass(universal_class,regular(union(u,v)))* -> equal(union(u,v),identity_relation).
% 299.85/300.43  228782[5:MRR:228732.0,12.0] || subclass(universal_class,regular(union(u,v)))* -> member(unordered_pair(w,x),complement(u))* equal(union(u,v),identity_relation).
% 299.85/300.43  228783[5:MRR:228731.0,12.0] || subclass(universal_class,regular(union(u,v)))* -> member(unordered_pair(w,x),complement(v))* equal(union(u,v),identity_relation).
% 299.85/300.43  229727[5:SpR:146022.0,5585.1] ||  -> equal(symmetric_difference(u,intersection(u,v)),identity_relation) member(regular(symmetric_difference(u,intersection(u,v))),complement(intersection(u,v)))*.
% 299.85/300.43  229728[5:SpR:146209.0,5585.1] ||  -> equal(symmetric_difference(u,intersection(v,u)),identity_relation) member(regular(symmetric_difference(u,intersection(v,u))),complement(intersection(v,u)))*.
% 299.85/300.43  229803[5:Res:5585.1,2.0] || subclass(complement(intersection(u,v)),w) -> equal(symmetric_difference(u,v),identity_relation) member(regular(symmetric_difference(u,v)),w)*.
% 299.85/300.43  230096[5:Res:608.1,8083.0] || member(not_subclass_element(regular(domain_of(u)),v),cantor(u))* -> subclass(regular(domain_of(u)),v) equal(domain_of(u),identity_relation).
% 299.85/300.43  230107[5:Res:5288.2,8083.0] || subclass(omega,u) -> equal(integer_of(not_subclass_element(regular(u),v)),identity_relation)** subclass(regular(u),v) equal(u,identity_relation).
% 299.85/300.43  230134[5:Rew:5576.1,230133.1] || member(not_subclass_element(u,v),intersection(w,singleton(u)))* -> subclass(u,v) equal(intersection(w,singleton(u)),identity_relation).
% 299.85/300.43  230136[5:Rew:5601.1,230135.1] || member(not_subclass_element(u,v),intersection(singleton(u),w))* -> subclass(u,v) equal(intersection(singleton(u),w),identity_relation).
% 299.85/300.43  230315[5:Res:117277.0,8431.1] || subclass(u,complement(inverse(singleton(not_subclass_element(u,v)))))* -> asymmetric(singleton(not_subclass_element(u,v)),w)* subclass(u,v).
% 299.85/300.43  230328[5:Res:5288.2,8431.1] || subclass(omega,u) subclass(v,complement(u))* -> equal(integer_of(not_subclass_element(v,w)),identity_relation)** subclass(v,w).
% 299.85/300.43  230396[5:Res:230113.0,5259.0] || well_ordering(u,complement(v)) -> equal(v,identity_relation) equal(segment(u,regular(v),least(u,regular(v))),identity_relation)**.
% 299.85/300.43  231477[0:Res:8249.0,8433.0] ||  -> subclass(restrict(intersection(u,v),w,x),y) member(not_subclass_element(restrict(intersection(u,v),w,x),y),v)*.
% 299.85/300.43  231611[0:Res:8249.0,8432.0] ||  -> subclass(restrict(intersection(u,v),w,x),y) member(not_subclass_element(restrict(intersection(u,v),w,x),y),u)*.
% 299.85/300.43  231954[0:Res:5163.1,2.0] || subclass(union(u,v),w) -> subclass(symmetric_difference(u,v),x) member(not_subclass_element(symmetric_difference(u,v),x),w)*.
% 299.85/300.43  232317[0:Res:601.1,2.0] || subclass(u,v) -> subclass(restrict(u,w,x),y) member(not_subclass_element(restrict(u,w,x),y),v)*.
% 299.85/300.43  232322[0:Res:601.1,222432.0] ||  -> subclass(restrict(complement(complement(u)),v,w),x) member(not_subclass_element(restrict(complement(complement(u)),v,w),x),u)*.
% 299.85/300.43  233296[5:Rew:44.0,233241.1,27.0,233241.1,44.0,233241.0,27.0,233241.0] || member(regular(image(element_relation,successor(u))),complement(image(element_relation,successor(u))))* -> equal(image(element_relation,successor(u)),identity_relation).
% 299.85/300.43  233297[5:Rew:114.0,233240.1,27.0,233240.1,114.0,233240.0,27.0,233240.0] || member(regular(image(element_relation,symmetrization_of(u))),complement(image(element_relation,symmetrization_of(u))))* -> equal(image(element_relation,symmetrization_of(u)),identity_relation).
% 299.85/300.43  233335[5:Res:230404.0,3691.0] || well_ordering(u,complement(singleton(v)))* -> equal(singleton(v),identity_relation) subclass(v,w)* member(least(u,v),v)*.
% 299.85/300.43  233336[5:Res:230404.0,3692.1] inductive(u) || well_ordering(v,complement(singleton(u)))* -> equal(singleton(u),identity_relation) member(least(v,u),u)*.
% 299.85/300.43  233337[5:Res:230404.0,5215.0] || well_ordering(u,complement(singleton(v)))* -> equal(singleton(v),identity_relation) equal(v,identity_relation) member(least(u,v),v)*.
% 299.85/300.43  233338[5:Res:230404.0,5259.0] || well_ordering(u,complement(singleton(v))) -> equal(singleton(v),identity_relation) equal(segment(u,v,least(u,v)),identity_relation)**.
% 299.85/300.43  233395[5:Res:230404.0,773.1] || member(u,universal_class) -> equal(singleton(complement(v)),identity_relation) member(u,v) member(u,complement(singleton(complement(v))))*.
% 299.85/300.43  233669[15:Rew:233634.0,193861.0] || member(ordered_pair(ordered_pair(u,universal_class),v),flip(w)) -> member(ordered_pair(ordered_pair(sum_class(range_of(identity_relation)),u),v),w)*.
% 299.85/300.43  233670[15:Rew:233634.0,193862.0] || member(ordered_pair(ordered_pair(u,universal_class),v),rotate(w)) -> member(ordered_pair(ordered_pair(sum_class(range_of(identity_relation)),v),u),w)*.
% 299.85/300.43  233689[15:Rew:233676.0,198544.1] || member(restrict(u,v,identity_relation),universal_class) -> member(ordered_pair(restrict(u,v,identity_relation),segment(u,v,universal_class)),domain_relation)*.
% 299.85/300.43  234168[17:Res:29474.1,195186.2] || member(ordered_pair(u,identity_relation),range_of(v))* member(u,universal_class) subclass(domain_relation,complement(cantor(inverse(v)))) -> .
% 299.85/300.43  234221[17:MRR:234178.2,29469.1] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),identity_relation)** subclass(domain_relation,complement(rest_of(v)))* -> .
% 299.85/300.43  234462[5:SpR:233433.0,144.2] || member(identity_relation,domain_of(u)) equal(restrict(u,identity_relation,universal_class),universal_class) -> member(singleton(singleton(identity_relation)),rest_of(u))*.
% 299.85/300.43  234853[5:SpR:54.0,26595.1] || member(u,universal_class) -> member(u,sum_class(v)) equal(apply(restrict(element_relation,universal_class,v),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.43  234855[5:SpR:39.0,26595.1] || member(u,universal_class) -> member(u,inverse(v)) equal(apply(flip(cross_product(v,universal_class)),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.43  234953[5:MRR:234901.0,55.1] || member(u,universal_class) subclass(universal_class,complement(domain_of(v)))* -> equal(apply(v,sum_class(u)),sum_class(range_of(identity_relation)))**.
% 299.85/300.43  234954[5:MRR:234899.0,57.1] || member(u,universal_class) subclass(universal_class,complement(domain_of(v)))* -> equal(apply(v,power_class(u)),sum_class(range_of(identity_relation)))**.
% 299.85/300.43  234955[5:MRR:234898.0,29531.1] || subclass(u,complement(domain_of(v))) -> equal(apply(v,not_subclass_element(u,w)),sum_class(range_of(identity_relation)))** subclass(u,w).
% 299.85/300.43  234960[5:MRR:234916.0,29531.1] ||  -> equal(apply(u,not_subclass_element(v,intersection(domain_of(u),v))),sum_class(range_of(identity_relation)))** subclass(v,intersection(domain_of(u),v)).
% 299.85/300.43  235084[0:Rew:44.0,235001.1,27.0,235001.1,44.0,235001.0,27.0,235001.0] ||  -> member(not_subclass_element(u,image(element_relation,successor(v))),complement(image(element_relation,successor(v))))* subclass(u,image(element_relation,successor(v))).
% 299.85/300.43  235085[0:Rew:114.0,235000.1,27.0,235000.1,114.0,235000.0,27.0,235000.0] ||  -> member(not_subclass_element(u,image(element_relation,symmetrization_of(v))),complement(image(element_relation,symmetrization_of(v))))* subclass(u,image(element_relation,symmetrization_of(v))).
% 299.85/300.43  235201[5:Res:608.1,8058.1] || member(least(u,complement(domain_of(v))),cantor(v))* well_ordering(u,universal_class) -> equal(complement(domain_of(v)),identity_relation).
% 299.85/300.43  235223[5:Rew:118447.0,235195.2,118447.0,235195.0] || member(least(u,union(v,identity_relation)),complement(v))* well_ordering(u,universal_class) -> equal(union(v,identity_relation),identity_relation).
% 299.85/300.43  235392[15:Rew:233634.0,235331.2] || member(u,range_of(identity_relation)) member(ordered_pair(u,universal_class),cross_product(universal_class,universal_class))* -> member(ordered_pair(u,universal_class),element_relation).
% 299.85/300.43  235439[17:SpL:22914.0,195185.1] || member(u,universal_class) subclass(domain_relation,symmetric_difference(complement(v),universal_class)) -> member(ordered_pair(u,identity_relation),union(v,identity_relation))*.
% 299.85/300.43  235441[17:SpL:160.0,195185.1] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,w)) -> member(ordered_pair(u,identity_relation),complement(intersection(v,w)))*.
% 299.85/300.43  235484[5:SpR:5338.1,233421.0] ||  -> equal(cross_product(u,v),identity_relation) member(singleton(first(regular(cross_product(u,v)))),complement(singleton(regular(cross_product(u,v)))))*.
% 299.85/300.43  235627[17:SpR:209749.1,20387.1] function(u) || subclass(rest_relation,rotate(v)) -> member(ordered_pair(ordered_pair(u,rest_of(singleton(singleton(identity_relation)))),identity_relation),v)*.
% 299.85/300.43  235634[17:SpR:209749.1,20387.1] function(rest_of(ordered_pair(u,identity_relation))) || subclass(rest_relation,rotate(v)) -> member(ordered_pair(singleton(singleton(identity_relation)),u),v)*.
% 299.85/300.43  235648[0:Res:20387.1,126.0] || subclass(rest_relation,rotate(u)) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  235665[0:Res:20387.1,119659.0] || subclass(rest_relation,rotate(symmetric_difference(universal_class,u))) member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),u)* -> .
% 299.85/300.43  235666[0:Res:20387.1,119626.0] || subclass(rest_relation,rotate(symmetric_difference(universal_class,u))) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),complement(u))*.
% 299.85/300.43  235676[0:Res:20387.1,610.0] || subclass(rest_relation,rotate(cantor(inverse(u)))) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),range_of(u))*.
% 299.85/300.43  235678[0:Res:20387.1,596.0] || subclass(rest_relation,rotate(restrict(u,v,w)))* -> member(ordered_pair(ordered_pair(x,rest_of(ordered_pair(y,x))),y),u)*.
% 299.85/300.43  235688[0:Res:20387.1,40810.0] || subclass(rest_relation,rotate(rest_of(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v))))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.43  235698[12:Res:20387.1,168536.1] || subclass(rest_relation,rotate(cross_product(universal_class,universal_class))) equal(sum_class(range_of(ordered_pair(u,rest_of(ordered_pair(v,u))))),v)** -> .
% 299.85/300.43  235738[17:SpR:209749.1,20388.1] function(u) || subclass(rest_relation,flip(v)) -> member(ordered_pair(ordered_pair(u,identity_relation),rest_of(singleton(singleton(identity_relation)))),v)*.
% 299.85/300.43  235747[17:SpR:209749.1,20388.1] function(u) || subclass(rest_relation,flip(v)) -> member(ordered_pair(singleton(singleton(identity_relation)),rest_of(ordered_pair(u,identity_relation))),v)*.
% 299.85/300.43  235764[0:Res:20388.1,126.0] || subclass(rest_relation,flip(u)) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.43  235781[0:Res:20388.1,119659.0] || subclass(rest_relation,flip(symmetric_difference(universal_class,u))) member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),u)* -> .
% 299.85/300.43  235782[0:Res:20388.1,119626.0] || subclass(rest_relation,flip(symmetric_difference(universal_class,u))) -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),complement(u))*.
% 299.85/300.43  235792[0:Res:20388.1,610.0] || subclass(rest_relation,flip(cantor(inverse(u)))) -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),range_of(u))*.
% 299.85/300.43  235794[0:Res:20388.1,596.0] || subclass(rest_relation,flip(restrict(u,v,w)))* -> member(ordered_pair(ordered_pair(x,y),rest_of(ordered_pair(y,x))),u)*.
% 299.85/300.43  235804[0:Res:20388.1,40810.0] || subclass(rest_relation,flip(rest_of(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u))))))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.43  235814[12:Res:20388.1,168536.1] || subclass(rest_relation,flip(cross_product(universal_class,universal_class)))* equal(sum_class(range_of(ordered_pair(u,v))),rest_of(ordered_pair(v,u)))** -> .
% 299.85/300.43  235860[5:SpL:5338.1,235506.0] || member(singleton(first(regular(cross_product(u,v)))),singleton(regular(cross_product(u,v))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.43  235923[5:Res:5462.2,816.1] || subclass(omega,symmetric_difference(u,v)) subclass(universal_class,complement(union(u,v)))* -> equal(integer_of(singleton(w)),identity_relation)**.
% 299.85/300.43  235930[5:Res:5462.2,205293.1] || subclass(omega,symmetric_difference(u,v)) subclass(universal_class,complement(union(u,v)))* -> equal(integer_of(power_class(identity_relation)),identity_relation).
% 299.85/300.43  235944[5:Res:5462.2,111279.0] || subclass(omega,symmetric_difference(u,v)) well_ordering(universal_class,union(u,v))* -> equal(integer_of(singleton(singleton(w))),identity_relation)**.
% 299.85/300.43  236018[5:Res:86994.1,5465.0] || equal(cantor(inverse(u)),omega) subclass(range_of(u),v)* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.43  236337[5:Res:5329.3,233419.0] || member(u,universal_class) subclass(u,singleton(omega)) -> equal(u,identity_relation) equal(integer_of(apply(choice,u)),identity_relation)**.
% 299.85/300.43  236462[0:Res:608.1,8214.0] || member(not_subclass_element(intersection(u,complement(domain_of(v))),w),cantor(v))* -> subclass(intersection(u,complement(domain_of(v))),w).
% 299.85/300.43  236470[5:Res:220369.1,8214.0] || member(not_subclass_element(intersection(u,complement(symmetrization_of(identity_relation))),v),inverse(identity_relation))* -> subclass(intersection(u,complement(symmetrization_of(identity_relation))),v).
% 299.85/300.43  236514[5:Rew:118447.0,236456.1,118447.0,236456.0] || member(not_subclass_element(intersection(u,union(v,identity_relation)),w),complement(v))* -> subclass(intersection(u,union(v,identity_relation)),w).
% 299.85/300.43  236589[5:Rew:233485.0,236585.1] || member(not_subclass_element(u,segment(universal_class,v,universal_class)),cantor(cross_product(v,identity_relation)))* -> subclass(u,segment(universal_class,v,universal_class)).
% 299.85/300.43  236847[0:Res:608.1,8308.0] || member(not_subclass_element(intersection(complement(domain_of(u)),v),w),cantor(u))* -> subclass(intersection(complement(domain_of(u)),v),w).
% 299.85/300.43  236855[5:Res:220369.1,8308.0] || member(not_subclass_element(intersection(complement(symmetrization_of(identity_relation)),u),v),inverse(identity_relation))* -> subclass(intersection(complement(symmetrization_of(identity_relation)),u),v).
% 299.85/300.43  236906[5:Rew:118447.0,236841.1,118447.0,236841.0] || member(not_subclass_element(intersection(union(u,identity_relation),v),w),complement(u))* -> subclass(intersection(union(u,identity_relation),v),w).
% 299.85/300.43  237038[5:SpL:118447.0,21262.0] || equal(u,union(v,identity_relation))* member(w,universal_class) -> member(w,symmetric_difference(universal_class,v))* member(w,u)*.
% 299.85/300.43  237180[5:Obv:237124.2] || equal(u,v) subclass(unordered_pair(v,u),w)* -> equal(unordered_pair(v,u),identity_relation) member(v,w).
% 299.85/300.43  237334[5:Res:5580.1,25.1] || member(regular(intersection(u,intersection(v,complement(w)))),w)* -> equal(intersection(u,intersection(v,complement(w))),identity_relation).
% 299.85/300.43  237350[5:Res:5580.1,29473.0] ||  -> equal(intersection(u,intersection(v,domain_of(w))),identity_relation) member(regular(intersection(u,intersection(v,domain_of(w)))),cantor(w))*.
% 299.85/300.43  237364[5:Res:5580.1,222174.0] ||  -> equal(intersection(u,intersection(v,symmetrization_of(identity_relation))),identity_relation) member(regular(intersection(u,intersection(v,symmetrization_of(identity_relation)))),inverse(identity_relation))*.
% 299.85/300.43  237927[5:Res:5581.1,25.1] || member(regular(intersection(u,intersection(complement(v),w))),v)* -> equal(intersection(u,intersection(complement(v),w)),identity_relation).
% 299.85/300.43  237943[5:Res:5581.1,29473.0] ||  -> equal(intersection(u,intersection(domain_of(v),w)),identity_relation) member(regular(intersection(u,intersection(domain_of(v),w))),cantor(v))*.
% 299.85/300.43  237957[5:Res:5581.1,222174.0] ||  -> equal(intersection(u,intersection(symmetrization_of(identity_relation),v)),identity_relation) member(regular(intersection(u,intersection(symmetrization_of(identity_relation),v))),inverse(identity_relation))*.
% 299.85/300.43  238035[5:Rew:160.0,237856.0] ||  -> equal(intersection(u,symmetric_difference(v,w)),identity_relation) member(regular(intersection(u,symmetric_difference(v,w))),complement(intersection(v,w)))*.
% 299.85/300.43  238723[5:Res:5605.1,25.1] || member(regular(intersection(intersection(u,complement(v)),w)),v)* -> equal(intersection(intersection(u,complement(v)),w),identity_relation).
% 299.85/300.43  238739[5:Res:5605.1,29473.0] ||  -> equal(intersection(intersection(u,domain_of(v)),w),identity_relation) member(regular(intersection(intersection(u,domain_of(v)),w)),cantor(v))*.
% 299.85/300.43  238753[5:Res:5605.1,222174.0] ||  -> equal(intersection(intersection(u,symmetrization_of(identity_relation)),v),identity_relation) member(regular(intersection(intersection(u,symmetrization_of(identity_relation)),v)),inverse(identity_relation))*.
% 299.85/300.43  239517[5:Res:5606.1,25.1] || member(regular(intersection(intersection(complement(u),v),w)),u)* -> equal(intersection(intersection(complement(u),v),w),identity_relation).
% 299.85/300.43  239533[5:Res:5606.1,29473.0] ||  -> equal(intersection(intersection(domain_of(u),v),w),identity_relation) member(regular(intersection(intersection(domain_of(u),v),w)),cantor(u))*.
% 299.85/300.43  239547[5:Res:5606.1,222174.0] ||  -> equal(intersection(intersection(symmetrization_of(identity_relation),u),v),identity_relation) member(regular(intersection(intersection(symmetrization_of(identity_relation),u),v)),inverse(identity_relation))*.
% 299.85/300.43  239634[5:Rew:160.0,239437.0] ||  -> equal(intersection(symmetric_difference(u,v),w),identity_relation) member(regular(intersection(symmetric_difference(u,v),w)),complement(intersection(u,v)))*.
% 299.85/300.43  240353[5:Res:5604.2,119659.0] || subclass(u,symmetric_difference(universal_class,v)) member(regular(intersection(u,w)),v)* -> equal(intersection(u,w),identity_relation).
% 299.85/300.43  240354[5:Res:5604.2,119626.0] || subclass(u,symmetric_difference(universal_class,v)) -> equal(intersection(u,w),identity_relation) member(regular(intersection(u,w)),complement(v))*.
% 299.85/300.43  240364[5:Res:5604.2,610.0] || subclass(u,cantor(inverse(v))) -> equal(intersection(u,w),identity_relation) member(regular(intersection(u,w)),range_of(v))*.
% 299.85/300.43  240366[5:Res:5604.2,596.0] || subclass(u,restrict(v,w,x))* -> equal(intersection(u,y),identity_relation) member(regular(intersection(u,y)),v)*.
% 299.85/300.43  240376[5:Res:5604.2,40810.0] || subclass(u,rest_of(regular(intersection(u,v))))* subclass(universal_class,complement(element_relation)) -> equal(intersection(u,v),identity_relation).
% 299.85/300.43  240946[5:Res:5579.2,119659.0] || subclass(u,symmetric_difference(universal_class,v)) member(regular(intersection(w,u)),v)* -> equal(intersection(w,u),identity_relation).
% 299.85/300.43  240947[5:Res:5579.2,119626.0] || subclass(u,symmetric_difference(universal_class,v)) -> equal(intersection(w,u),identity_relation) member(regular(intersection(w,u)),complement(v))*.
% 299.85/300.43  240957[5:Res:5579.2,610.0] || subclass(u,cantor(inverse(v))) -> equal(intersection(w,u),identity_relation) member(regular(intersection(w,u)),range_of(v))*.
% 299.85/300.43  240959[5:Res:5579.2,596.0] || subclass(u,restrict(v,w,x))* -> equal(intersection(y,u),identity_relation) member(regular(intersection(y,u)),v)*.
% 299.85/300.43  240969[5:Res:5579.2,40810.0] || subclass(u,rest_of(regular(intersection(v,u))))* subclass(universal_class,complement(element_relation)) -> equal(intersection(v,u),identity_relation).
% 299.85/300.43  241451[5:Res:3728.1,5316.0] || equal(sum_class(u),u) subclass(u,v) -> equal(sum_class(u),identity_relation) member(regular(sum_class(u)),v)*.
% 299.85/300.43  241454[5:Res:49.1,5316.0] inductive(u) || subclass(u,v) -> equal(image(successor_relation,u),identity_relation) member(regular(image(successor_relation,u)),v)*.
% 299.85/300.43  241458[5:Res:86994.1,5316.0] || equal(cantor(inverse(u)),v)* subclass(range_of(u),w)* -> equal(v,identity_relation) member(regular(v),w)*.
% 299.85/300.43  241505[5:Res:227180.0,5316.0] || subclass(complement(cantor(inverse(u))),v) -> equal(complement(range_of(u)),identity_relation) member(regular(complement(range_of(u))),v)*.
% 299.85/300.43  241545[9:Res:230401.0,5316.0] || subclass(symmetrization_of(identity_relation),u) -> equal(regular(complement(inverse(identity_relation))),identity_relation) member(regular(regular(complement(inverse(identity_relation)))),u)*.
% 299.85/300.43  241562[7:Rew:5253.1,241538.2] || subclass(singleton(identity_relation),u) -> equal(singleton(apply(choice,singleton(identity_relation))),identity_relation) member(apply(choice,singleton(identity_relation)),u)*.
% 299.85/300.43  241743[5:SpR:146057.0,8335.1] ||  -> subclass(symmetric_difference(domain_of(u),cantor(u)),v) member(not_subclass_element(symmetric_difference(domain_of(u),cantor(u)),v),complement(cantor(u)))*.
% 299.85/300.43  241993[0:Res:3780.1,8150.0] || equal(complement(complement(symmetric_difference(cross_product(u,v),w))),universal_class) -> member(singleton(x),complement(restrict(w,u,v)))*.
% 299.85/300.43  242007[5:Res:223085.1,8150.0] || equal(complement(complement(symmetric_difference(cross_product(u,v),w))),universal_class) -> member(power_class(identity_relation),complement(restrict(w,u,v)))*.
% 299.85/300.43  242026[17:Res:195614.1,8150.0] || subclass(domain_relation,symmetric_difference(cross_product(u,v),w)) -> member(singleton(singleton(singleton(identity_relation))),complement(restrict(w,u,v)))*.
% 299.85/300.43  242027[0:Res:122840.1,8150.0] || well_ordering(universal_class,complement(symmetric_difference(cross_product(u,v),w))) -> member(singleton(singleton(x)),complement(restrict(w,u,v)))*.
% 299.85/300.43  242028[15:Res:192110.1,8150.0] || equal(symmetric_difference(cross_product(u,v),w),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),complement(restrict(w,u,v)))*.
% 299.85/300.43  242034[11:Res:207964.1,8150.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(regular(complement(power_class(identity_relation))),complement(restrict(w,u,v)))*.
% 299.85/300.43  242035[10:Res:208146.1,8150.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(regular(complement(power_class(universal_class))),complement(restrict(w,u,v)))*.
% 299.85/300.43  242036[9:Res:207805.1,8150.0] || subclass(universal_class,symmetric_difference(cross_product(u,v),w)) -> member(regular(complement(symmetrization_of(identity_relation))),complement(restrict(w,u,v)))*.
% 299.85/300.43  242037[20:Res:214397.1,8150.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(cross_product(u,v),w)) -> member(regular(symmetrization_of(identity_relation)),complement(restrict(w,u,v)))*.
% 299.85/300.43  242038[20:Res:212352.1,8150.0] || subclass(inverse(identity_relation),symmetric_difference(cross_product(u,v),w)) -> member(regular(symmetrization_of(identity_relation)),complement(restrict(w,u,v)))*.
% 299.85/300.43  242146[5:SpR:242089.0,59.1] || member(ordered_pair(u,v),compose(w,complement(cross_product(singleton(u),universal_class))))* -> member(v,image(w,range_of(identity_relation))).
% 299.85/300.43  242151[5:SpR:242089.0,59.1] || member(ordered_pair(u,v),compose(complement(cross_product(image(w,singleton(u)),universal_class)),w))* -> member(v,range_of(identity_relation)).
% 299.85/300.43  242230[5:Res:5329.3,242117.0] || member(u,universal_class) subclass(u,domain_of(complement(cross_product(singleton(apply(choice,u)),universal_class))))* -> equal(u,identity_relation).
% 299.85/300.43  242235[5:Res:827.3,242117.0] function(u) || member(v,universal_class) subclass(universal_class,domain_of(complement(cross_product(singleton(image(u,v)),universal_class))))* -> .
% 299.85/300.43  242264[0:Res:3780.1,8147.0] || equal(complement(complement(symmetric_difference(u,cross_product(v,w)))),universal_class) -> member(singleton(x),complement(restrict(u,v,w)))*.
% 299.85/300.43  242278[5:Res:223085.1,8147.0] || equal(complement(complement(symmetric_difference(u,cross_product(v,w)))),universal_class) -> member(power_class(identity_relation),complement(restrict(u,v,w)))*.
% 299.85/300.43  242298[17:Res:195614.1,8147.0] || subclass(domain_relation,symmetric_difference(u,cross_product(v,w))) -> member(singleton(singleton(singleton(identity_relation))),complement(restrict(u,v,w)))*.
% 299.85/300.43  242299[0:Res:122840.1,8147.0] || well_ordering(universal_class,complement(symmetric_difference(u,cross_product(v,w)))) -> member(singleton(singleton(x)),complement(restrict(u,v,w)))*.
% 299.85/300.43  242300[15:Res:192110.1,8147.0] || equal(symmetric_difference(u,cross_product(v,w)),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),complement(restrict(u,v,w)))*.
% 299.85/300.43  242306[11:Res:207964.1,8147.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(regular(complement(power_class(identity_relation))),complement(restrict(u,v,w)))*.
% 299.85/300.43  242307[10:Res:208146.1,8147.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(regular(complement(power_class(universal_class))),complement(restrict(u,v,w)))*.
% 299.85/300.43  242308[9:Res:207805.1,8147.0] || subclass(universal_class,symmetric_difference(u,cross_product(v,w))) -> member(regular(complement(symmetrization_of(identity_relation))),complement(restrict(u,v,w)))*.
% 299.85/300.43  242309[20:Res:214397.1,8147.0] || subclass(symmetrization_of(identity_relation),symmetric_difference(u,cross_product(v,w))) -> member(regular(symmetrization_of(identity_relation)),complement(restrict(u,v,w)))*.
% 299.85/300.43  242310[20:Res:212352.1,8147.0] || subclass(inverse(identity_relation),symmetric_difference(u,cross_product(v,w))) -> member(regular(symmetrization_of(identity_relation)),complement(restrict(u,v,w)))*.
% 299.85/300.43  242390[0:Res:3780.1,756.0] || equal(complement(complement(cantor(restrict(u,v,singleton(w))))),universal_class)** -> member(singleton(x),segment(u,v,w))*.
% 299.85/300.43  242404[5:Res:223085.1,756.0] || equal(complement(complement(cantor(restrict(u,v,singleton(w))))),universal_class)** -> member(power_class(identity_relation),segment(u,v,w)).
% 299.85/300.43  242423[17:Res:195614.1,756.0] || subclass(domain_relation,cantor(restrict(u,v,singleton(w)))) -> member(singleton(singleton(singleton(identity_relation))),segment(u,v,w))*.
% 299.85/300.43  242424[0:Res:122840.1,756.0] || well_ordering(universal_class,complement(cantor(restrict(u,v,singleton(w)))))* -> member(singleton(singleton(x)),segment(u,v,w))*.
% 299.85/300.43  242425[15:Res:192110.1,756.0] || equal(cantor(restrict(u,v,singleton(w))),singleton(singleton(identity_relation))) -> member(singleton(identity_relation),segment(u,v,w))*.
% 299.85/300.43  242432[11:Res:207964.1,756.0] || subclass(universal_class,cantor(restrict(u,v,singleton(w)))) -> member(regular(complement(power_class(identity_relation))),segment(u,v,w))*.
% 299.85/300.43  242433[10:Res:208146.1,756.0] || subclass(universal_class,cantor(restrict(u,v,singleton(w)))) -> member(regular(complement(power_class(universal_class))),segment(u,v,w))*.
% 299.85/300.43  242434[9:Res:207805.1,756.0] || subclass(universal_class,cantor(restrict(u,v,singleton(w)))) -> member(regular(complement(symmetrization_of(identity_relation))),segment(u,v,w))*.
% 299.85/300.43  242435[20:Res:214397.1,756.0] || subclass(symmetrization_of(identity_relation),cantor(restrict(u,v,singleton(w))))* -> member(regular(symmetrization_of(identity_relation)),segment(u,v,w)).
% 299.85/300.43  242436[20:Res:212352.1,756.0] || subclass(inverse(identity_relation),cantor(restrict(u,v,singleton(w))))* -> member(regular(symmetrization_of(identity_relation)),segment(u,v,w)).
% 299.85/300.43  242518[0:SpR:9097.0,45887.0] ||  -> subclass(restrict(cantor(restrict(cross_product(u,singleton(v)),w,x)),y,z),segment(cross_product(w,x),u,v))*.
% 299.85/300.43  242526[5:SpR:9097.0,238306.0] ||  -> equal(intersection(complement(segment(cross_product(u,v),w,x)),cantor(restrict(cross_product(w,singleton(x)),u,v))),identity_relation)**.
% 299.85/300.43  242527[5:SpR:9097.0,239940.0] ||  -> equal(intersection(cantor(restrict(cross_product(u,singleton(v)),w,x)),complement(segment(cross_product(w,x),u,v))),identity_relation)**.
% 299.85/300.43  242530[17:SpR:9097.0,195326.1] ||  -> equal(singleton(restrict(cross_product(u,singleton(v)),w,x)),identity_relation)** equal(segment(cross_product(w,x),u,v),identity_relation).
% 299.85/300.43  242531[17:SpR:9097.0,195325.1] ||  -> equal(integer_of(restrict(cross_product(u,singleton(v)),w,x)),identity_relation)** equal(segment(cross_product(w,x),u,v),identity_relation).
% 299.85/300.43  244104[5:Res:5329.3,242218.0] || member(u,universal_class) subclass(u,cantor(complement(cross_product(singleton(apply(choice,u)),universal_class))))* -> equal(u,identity_relation).
% 299.85/300.43  244109[5:Res:827.3,242218.0] function(u) || member(v,universal_class) subclass(universal_class,cantor(complement(cross_product(singleton(image(u,v)),universal_class))))* -> .
% 299.85/300.43  244621[21:Res:3780.1,243787.1] || equal(complement(complement(complement(compose(complement(element_relation),inverse(element_relation))))),universal_class)** member(singleton(u),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244635[21:Res:223085.1,243787.1] || equal(complement(complement(complement(compose(complement(element_relation),inverse(element_relation))))),universal_class)** member(power_class(identity_relation),cross_product(universal_class,universal_class)) -> .
% 299.85/300.43  244655[21:Res:195614.1,243787.1] || subclass(domain_relation,complement(compose(complement(element_relation),inverse(element_relation)))) member(singleton(singleton(singleton(identity_relation))),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244656[21:Res:122840.1,243787.1] || well_ordering(universal_class,complement(complement(compose(complement(element_relation),inverse(element_relation)))))* member(singleton(singleton(u)),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244657[21:Res:192110.1,243787.1] || equal(complement(compose(complement(element_relation),inverse(element_relation))),singleton(singleton(identity_relation)))** member(singleton(identity_relation),cross_product(universal_class,universal_class)) -> .
% 299.85/300.43  244666[21:Res:207964.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation)))) member(regular(complement(power_class(identity_relation))),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244667[21:Res:208146.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation)))) member(regular(complement(power_class(universal_class))),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244668[21:Res:207805.1,243787.1] || subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation)))) member(regular(complement(symmetrization_of(identity_relation))),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  244669[21:Res:214397.1,243787.1] || subclass(symmetrization_of(identity_relation),complement(compose(complement(element_relation),inverse(element_relation))))* member(regular(symmetrization_of(identity_relation)),cross_product(universal_class,universal_class)) -> .
% 299.85/300.43  244670[21:Res:212352.1,243787.1] || subclass(inverse(identity_relation),complement(compose(complement(element_relation),inverse(element_relation))))* member(regular(symmetrization_of(identity_relation)),cross_product(universal_class,universal_class)) -> .
% 299.85/300.43  244700[21:MRR:244644.0,15.1] || subclass(rest_relation,complement(compose(complement(element_relation),inverse(element_relation)))) member(ordered_pair(u,rest_of(u)),cross_product(universal_class,universal_class))* -> .
% 299.85/300.43  245344[20:Rew:5253.1,245335.2] || subclass(symmetrization_of(identity_relation),u) -> equal(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),identity_relation) member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),u)*.
% 299.85/300.43  245850[0:Res:30217.2,3924.0] || member(u,universal_class) equal(successor(singleton(u)),u)** subclass(successor_relation,v) well_ordering(universal_class,v)* -> .
% 299.85/300.43  245885[7:SpL:189445.0,7551.0] || subclass(omega,image(element_relation,singleton(identity_relation))) member(u,power_class(complement(singleton(identity_relation))))* -> equal(integer_of(u),identity_relation).
% 299.85/300.43  245886[5:SpL:124149.0,7551.0] || subclass(omega,image(element_relation,symmetrization_of(identity_relation))) member(u,power_class(complement(inverse(identity_relation))))* -> equal(integer_of(u),identity_relation).
% 299.85/300.43  247046[5:Rew:237639.0,247014.1] || member(not_subclass_element(intersection(u,complement(inverse(identity_relation))),identity_relation),symmetrization_of(identity_relation))* -> subclass(intersection(u,complement(inverse(identity_relation))),identity_relation).
% 299.85/300.43  247283[0:SpL:21037.0,8432.0] || subclass(u,symmetric_difference(complement(v),complement(singleton(v))))* -> subclass(u,w) member(not_subclass_element(u,w),successor(v))*.
% 299.85/300.43  247288[0:SpL:21037.0,7607.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(v),complement(singleton(v))))* -> member(sum_class(u),successor(v))*.
% 299.85/300.43  247290[0:SpL:21037.0,7572.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(v),complement(singleton(v))))* -> member(power_class(u),successor(v))*.
% 299.85/300.43  247311[5:Rew:21037.0,247187.0] ||  -> equal(symmetric_difference(complement(u),complement(singleton(u))),identity_relation) member(regular(symmetric_difference(complement(u),complement(singleton(u)))),successor(u))*.
% 299.85/300.43  247717[5:Rew:238348.0,247683.1] || member(not_subclass_element(intersection(complement(inverse(identity_relation)),u),identity_relation),symmetrization_of(identity_relation))* -> subclass(intersection(complement(inverse(identity_relation)),u),identity_relation).
% 299.85/300.43  247885[0:Res:608.1,20349.2] || member(ordered_pair(u,rest_of(u)),cantor(v))* member(u,universal_class) subclass(rest_relation,complement(domain_of(v))) -> .
% 299.85/300.43  247895[5:Res:220369.1,20349.2] || member(ordered_pair(u,rest_of(u)),inverse(identity_relation))* member(u,universal_class) subclass(rest_relation,complement(symmetrization_of(identity_relation))) -> .
% 299.85/300.43  247924[5:Rew:118447.0,247877.2] || member(ordered_pair(u,rest_of(u)),complement(v))* member(u,universal_class) subclass(rest_relation,union(v,identity_relation)) -> .
% 299.85/300.43  247947[0:MRR:247879.0,641.0] || member(u,universal_class) subclass(rest_relation,complement(union(v,w)))* -> member(ordered_pair(u,rest_of(u)),complement(v))*.
% 299.85/300.43  247948[0:MRR:247878.0,641.0] || member(u,universal_class) subclass(rest_relation,complement(union(v,w)))* -> member(ordered_pair(u,rest_of(u)),complement(w))*.
% 299.85/300.43  248368[5:Rew:20365.2,248314.2] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> equal(rest_of(u),identity_relation) member(regular(rest_of(u)),v)*.
% 299.85/300.43  248573[0:SpL:21036.0,8432.0] || subclass(u,symmetric_difference(complement(v),complement(inverse(v))))* -> subclass(u,w) member(not_subclass_element(u,w),symmetrization_of(v))*.
% 299.85/300.43  248578[0:SpL:21036.0,7607.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(v),complement(inverse(v))))* -> member(sum_class(u),symmetrization_of(v))*.
% 299.85/300.43  248580[0:SpL:21036.0,7572.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(v),complement(inverse(v))))* -> member(power_class(u),symmetrization_of(v))*.
% 299.85/300.43  248596[5:Rew:21036.0,248489.0] ||  -> equal(symmetric_difference(complement(u),complement(inverse(u))),identity_relation) member(regular(symmetric_difference(complement(u),complement(inverse(u)))),symmetrization_of(u))*.
% 299.85/300.43  248720[0:Res:24180.2,3924.0] || member(u,universal_class)* equal(rest_of(u),successor(u)) subclass(successor_relation,v) well_ordering(universal_class,v)* -> .
% 299.85/300.43  248876[5:Res:12.0,120713.0] ||  -> member(unordered_pair(u,v),image(universal_class,singleton(unordered_pair(u,v))))* asymmetric(cross_product(singleton(unordered_pair(u,v)),universal_class),w)*.
% 299.85/300.43  248883[5:Res:29542.1,120713.0] ||  -> equal(u,identity_relation) member(regular(u),image(universal_class,singleton(regular(u))))* asymmetric(cross_product(singleton(regular(u)),universal_class),v)*.
% 299.85/300.43  248911[5:Res:641.0,120713.0] ||  -> member(ordered_pair(u,v),image(universal_class,singleton(ordered_pair(u,v))))* asymmetric(cross_product(singleton(ordered_pair(u,v)),universal_class),w)*.
% 299.85/300.43  248943[20:Res:212353.0,120713.0] ||  -> member(regular(symmetrization_of(identity_relation)),image(universal_class,singleton(regular(symmetrization_of(identity_relation)))))* asymmetric(cross_product(singleton(regular(symmetrization_of(identity_relation))),universal_class),u)*.
% 299.85/300.43  248967[5:Res:212362.0,120713.0] ||  -> member(least(element_relation,omega),image(universal_class,singleton(least(element_relation,omega))))* asymmetric(cross_product(singleton(least(element_relation,omega)),universal_class),u)*.
% 299.85/300.43  249233[0:Rew:249197.0,125760.0] || member(u,symmetric_difference(complement(v),power_class(complement(power_class(w)))))* -> member(u,union(v,image(element_relation,power_class(w)))).
% 299.85/300.43  249237[0:Rew:249197.0,246463.0] ||  -> member(u,intersection(complement(v),power_class(complement(power_class(w)))))* subclass(singleton(u),union(v,image(element_relation,power_class(w)))).
% 299.85/300.43  249241[5:Rew:249197.0,246469.0] ||  -> equal(intersection(intersection(u,intersection(complement(v),power_class(complement(power_class(w))))),union(v,image(element_relation,power_class(w)))),identity_relation)**.
% 299.85/300.43  249312[7:Rew:249197.0,246620.1] || subclass(union(u,image(element_relation,power_class(v))),identity_relation) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.43  249313[7:Rew:249197.0,246606.1] || well_ordering(universal_class,union(u,image(element_relation,power_class(v)))) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.43  249317[5:Rew:249197.0,246554.1] || equal(union(u,image(element_relation,power_class(v))),universal_class) -> equal(intersection(complement(u),power_class(complement(power_class(v)))),identity_relation)**.
% 299.85/300.43  249318[5:Rew:249197.0,246388.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),identity_relation)** -> equal(union(u,image(element_relation,power_class(v))),universal_class).
% 299.85/300.43  249319[5:Rew:249197.0,246404.0] ||  -> equal(symmetric_difference(universal_class,intersection(complement(u),power_class(complement(power_class(v))))),intersection(union(u,image(element_relation,power_class(v))),universal_class))**.
% 299.85/300.43  249320[0:Rew:249197.0,246422.0] ||  -> subclass(complement(power_class(intersection(complement(u),power_class(complement(power_class(v)))))),image(element_relation,union(u,image(element_relation,power_class(v)))))*.
% 299.85/300.43  249321[5:Rew:249197.0,246601.0] || equal(image(element_relation,union(u,image(element_relation,power_class(v)))),power_class(intersection(complement(u),power_class(complement(power_class(v))))))** -> .
% 299.85/300.43  249334[5:Rew:249197.0,246448.0] ||  -> equal(intersection(union(u,image(element_relation,power_class(v))),intersection(w,intersection(complement(u),power_class(complement(power_class(v)))))),identity_relation)**.
% 299.85/300.43  249335[5:Rew:249197.0,246449.0] ||  -> equal(intersection(union(u,image(element_relation,power_class(v))),intersection(intersection(complement(u),power_class(complement(power_class(v)))),w)),identity_relation)**.
% 299.85/300.43  249336[5:Rew:249197.0,246450.0] ||  -> equal(intersection(intersection(intersection(complement(u),power_class(complement(power_class(v)))),w),union(u,image(element_relation,power_class(v)))),identity_relation)**.
% 299.85/300.43  249343[5:Rew:249197.0,246590.1] || equal(union(u,image(element_relation,power_class(v))),identity_relation) -> equal(intersection(complement(u),power_class(complement(power_class(v)))),universal_class)**.
% 299.85/300.43  249351[5:Rew:249197.0,246619.1] || subclass(union(u,image(element_relation,power_class(v))),identity_relation) -> member(omega,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.43  249402[0:Rew:249197.0,125758.0] || member(u,symmetric_difference(power_class(complement(power_class(v))),complement(w)))* -> member(u,union(image(element_relation,power_class(v)),w)).
% 299.85/300.43  249408[5:Rew:249197.0,234079.0] || subclass(u,power_class(complement(power_class(v)))) member(regular(u),image(element_relation,power_class(v)))* -> equal(u,identity_relation).
% 299.85/300.43  249412[0:Rew:249197.0,246037.0] ||  -> member(u,intersection(power_class(complement(power_class(v))),complement(w)))* subclass(singleton(u),union(image(element_relation,power_class(v)),w)).
% 299.85/300.43  249416[5:Rew:249197.0,246042.0] ||  -> equal(intersection(intersection(u,intersection(power_class(complement(power_class(v))),complement(w))),union(image(element_relation,power_class(v)),w)),identity_relation)**.
% 299.85/300.43  249436[5:Rew:249197.0,218267.0] ||  -> equal(complement(intersection(union(u,identity_relation),power_class(complement(power_class(v))))),union(symmetric_difference(universal_class,u),image(element_relation,power_class(v))))**.
% 299.85/300.43  249451[0:Rew:249197.0,246112.0] || subclass(complement(u),power_class(complement(power_class(v))))* -> equal(union(image(element_relation,power_class(v)),u),complement(complement(u))).
% 299.85/300.43  249658[5:Rew:249197.0,217892.0] || subclass(omega,power_class(complement(power_class(u)))) member(v,image(element_relation,power_class(u)))* -> equal(integer_of(v),identity_relation).
% 299.85/300.43  249686[7:Rew:249197.0,246194.1] || subclass(union(image(element_relation,power_class(u)),v),identity_relation) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.43  249687[7:Rew:249197.0,246180.1] || well_ordering(universal_class,union(image(element_relation,power_class(u)),v)) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.43  249691[5:Rew:249197.0,246128.1] || equal(union(image(element_relation,power_class(u)),v),universal_class) -> equal(intersection(power_class(complement(power_class(u))),complement(v)),identity_relation)**.
% 299.85/300.43  249692[5:Rew:249197.0,245963.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),identity_relation)** -> equal(union(image(element_relation,power_class(u)),v),universal_class).
% 299.85/300.43  249693[5:Rew:249197.0,245979.0] ||  -> equal(symmetric_difference(universal_class,intersection(power_class(complement(power_class(u))),complement(v))),intersection(union(image(element_relation,power_class(u)),v),universal_class))**.
% 299.85/300.43  249694[0:Rew:249197.0,245997.0] ||  -> subclass(complement(power_class(intersection(power_class(complement(power_class(u))),complement(v)))),image(element_relation,union(image(element_relation,power_class(u)),v)))*.
% 299.85/300.43  249695[5:Rew:249197.0,246175.0] || equal(image(element_relation,union(image(element_relation,power_class(u)),v)),power_class(intersection(power_class(complement(power_class(u))),complement(v))))** -> .
% 299.85/300.43  249708[5:Rew:249197.0,246023.0] ||  -> equal(intersection(union(image(element_relation,power_class(u)),v),intersection(w,intersection(power_class(complement(power_class(u))),complement(v)))),identity_relation)**.
% 299.85/300.43  249709[5:Rew:249197.0,246024.0] ||  -> equal(intersection(union(image(element_relation,power_class(u)),v),intersection(intersection(power_class(complement(power_class(u))),complement(v)),w)),identity_relation)**.
% 299.85/300.43  249710[5:Rew:249197.0,246025.0] ||  -> equal(intersection(intersection(intersection(power_class(complement(power_class(u))),complement(v)),w),union(image(element_relation,power_class(u)),v)),identity_relation)**.
% 299.85/300.43  249717[5:Rew:249197.0,246164.1] || equal(union(image(element_relation,power_class(u)),v),identity_relation) -> equal(intersection(power_class(complement(power_class(u))),complement(v)),universal_class)**.
% 299.85/300.43  249725[5:Rew:249197.0,246193.1] || subclass(union(image(element_relation,power_class(u)),v),identity_relation) -> member(omega,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.43  249784[0:Rew:249197.0,86376.0] ||  -> subclass(complement(symmetrization_of(image(element_relation,power_class(u)))),intersection(power_class(complement(power_class(u))),complement(inverse(image(element_relation,power_class(u))))))*.
% 299.85/300.43  249786[0:Rew:249197.0,86420.0] ||  -> subclass(complement(successor(image(element_relation,power_class(u)))),intersection(power_class(complement(power_class(u))),complement(singleton(image(element_relation,power_class(u))))))*.
% 299.85/300.43  249788[5:Rew:249197.0,153035.0] ||  -> equal(intersection(power_class(complement(power_class(u))),symmetric_difference(universal_class,image(element_relation,power_class(u)))),symmetric_difference(universal_class,image(element_relation,power_class(u))))**.
% 299.85/300.43  249799[5:Rew:249197.0,198905.0] ||  -> subclass(symmetric_difference(power_class(complement(power_class(u))),symmetric_difference(universal_class,image(element_relation,power_class(u)))),union(image(element_relation,power_class(u)),identity_relation))*.
% 299.85/300.43  249800[0:Rew:249197.0,201371.1] || subclass(image(element_relation,power_class(u)),v) -> subclass(symmetric_difference(v,image(element_relation,power_class(u))),power_class(complement(power_class(u))))*.
% 299.85/300.43  249814[5:Rew:249197.0,217679.0] ||  -> equal(complement(intersection(power_class(complement(power_class(u))),union(v,identity_relation))),union(image(element_relation,power_class(u)),symmetric_difference(universal_class,v)))**.
% 299.85/300.43  249851[5:Rew:249197.0,245899.1] || subclass(omega,image(element_relation,power_class(u))) member(v,power_class(complement(power_class(u))))* -> equal(integer_of(v),identity_relation).
% 299.85/300.43  249972[15:Rew:249197.0,245298.1] single_valued_class(intersection(power_class(u),complement(inverse(image(element_relation,complement(u)))))) || equal(symmetrization_of(complement(power_class(u))),universal_class)** -> .
% 299.85/300.43  249977[3:Rew:249197.0,245096.1] inductive(intersection(power_class(u),complement(inverse(image(element_relation,complement(u)))))) || equal(symmetrization_of(complement(power_class(u))),universal_class)** -> .
% 299.85/300.43  249990[14:Rew:249197.0,245135.1] inductive(intersection(power_class(u),complement(inverse(image(element_relation,complement(u)))))) || equal(symmetrization_of(complement(power_class(u))),omega)** -> .
% 299.85/300.43  250048[5:Rew:249197.0,245016.0] ||  -> equal(intersection(restrict(intersection(power_class(u),complement(inverse(complement(power_class(u))))),v,w),symmetrization_of(complement(power_class(u)))),identity_relation)**.
% 299.85/300.43  250049[5:Rew:249197.0,245015.0] ||  -> equal(intersection(symmetrization_of(complement(power_class(u))),restrict(intersection(power_class(u),complement(inverse(complement(power_class(u))))),v,w)),identity_relation)**.
% 299.85/300.43  250099[15:Rew:249197.0,245714.1] single_valued_class(intersection(power_class(u),complement(singleton(image(element_relation,complement(u)))))) || equal(successor(complement(power_class(u))),universal_class)** -> .
% 299.85/300.43  250104[3:Rew:249197.0,245512.1] inductive(intersection(power_class(u),complement(singleton(image(element_relation,complement(u)))))) || equal(successor(complement(power_class(u))),universal_class)** -> .
% 299.85/300.43  250115[14:Rew:249197.0,245551.1] inductive(intersection(power_class(u),complement(singleton(image(element_relation,complement(u)))))) || equal(successor(complement(power_class(u))),omega)** -> .
% 299.85/300.43  250173[5:Rew:249197.0,245430.0] ||  -> equal(intersection(restrict(intersection(power_class(u),complement(singleton(complement(power_class(u))))),v,w),successor(complement(power_class(u)))),identity_relation)**.
% 299.85/300.43  250174[5:Rew:249197.0,245429.0] ||  -> equal(intersection(successor(complement(power_class(u))),restrict(intersection(power_class(u),complement(singleton(complement(power_class(u))))),v,w)),identity_relation)**.
% 299.85/300.43  250191[5:Rew:249197.0,27223.1] || member(power_class(u),universal_class) member(apply(choice,power_class(u)),complement(power_class(u)))* -> equal(power_class(u),identity_relation).
% 299.85/300.43  250335[11:Rew:250258.0,235235.1] || well_ordering(u,universal_class) member(least(u,union(v,complement(power_class(identity_relation)))),intersection(complement(v),power_class(identity_relation)))* -> .
% 299.85/300.43  250587[11:Rew:250502.0,235237.1] || well_ordering(u,universal_class) member(least(u,union(complement(power_class(identity_relation)),v)),intersection(power_class(identity_relation),complement(v)))* -> .
% 299.85/300.43  250859[0:Rew:249197.0,249497.1] || member(u,intersection(power_class(v),complement(inverse(complement(power_class(v))))))* member(u,symmetrization_of(complement(power_class(v)))) -> .
% 299.85/300.43  250860[0:Rew:249197.0,249498.0] || member(u,complement(symmetrization_of(complement(power_class(v))))) -> member(u,intersection(power_class(v),complement(inverse(complement(power_class(v))))))*.
% 299.85/300.43  250861[0:Rew:249197.0,249513.1] || member(u,intersection(power_class(v),complement(singleton(complement(power_class(v))))))* member(u,successor(complement(power_class(v)))) -> .
% 299.85/300.43  250862[0:Rew:249197.0,249514.0] || member(u,complement(successor(complement(power_class(v))))) -> member(u,intersection(power_class(v),complement(singleton(complement(power_class(v))))))*.
% 299.85/300.43  250865[0:Rew:249197.0,249789.1] || member(not_subclass_element(power_class(complement(power_class(u))),v),image(element_relation,power_class(u)))* -> subclass(power_class(complement(power_class(u))),v).
% 299.85/300.43  250866[14:Rew:249197.0,249939.1] || subclass(omega,complement(symmetrization_of(complement(power_class(u))))) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250867[14:Rew:249197.0,249940.1] || equal(complement(symmetrization_of(complement(power_class(u)))),omega) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250868[0:Rew:249197.0,249943.1] || subclass(universal_class,complement(symmetrization_of(complement(power_class(u))))) -> member(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250869[5:Rew:249197.0,249944.1] || subclass(universal_class,complement(symmetrization_of(complement(power_class(u))))) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250870[5:Rew:249197.0,249946.1] || equal(complement(symmetrization_of(complement(power_class(u)))),universal_class) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250871[0:Rew:249197.0,249947.1] || equal(complement(symmetrization_of(complement(power_class(u)))),universal_class) -> member(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250872[14:Rew:249197.0,249988.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),omega)** equal(symmetrization_of(complement(power_class(u))),omega) -> .
% 299.85/300.43  250873[14:Rew:249197.0,249989.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),universal_class)** equal(symmetrization_of(complement(power_class(u))),omega) -> .
% 299.85/300.43  250874[15:Rew:249197.0,249991.1] || well_ordering(universal_class,symmetrization_of(complement(power_class(u)))) -> member(singleton(identity_relation),intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.43  250875[0:Rew:249197.0,249992.1] || well_ordering(universal_class,symmetrization_of(complement(power_class(u)))) well_ordering(universal_class,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.43  250876[5:Rew:249197.0,249999.1] || subclass(symmetrization_of(complement(power_class(u))),identity_relation) well_ordering(universal_class,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.43  250877[14:Rew:249197.0,250006.1] || subclass(omega,symmetrization_of(complement(power_class(u)))) member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.43  250878[5:Rew:249197.0,250007.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),universal_class)** equal(symmetrization_of(complement(power_class(u))),domain_relation) -> .
% 299.85/300.43  250879[5:Rew:249197.0,250008.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),domain_relation)** equal(symmetrization_of(complement(power_class(u))),domain_relation) -> .
% 299.85/300.43  250880[5:Rew:249197.0,250009.0] || subclass(universal_class,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* subclass(domain_relation,symmetrization_of(complement(power_class(u)))) -> .
% 299.85/300.43  250881[5:Rew:249197.0,250010.0] || subclass(domain_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* subclass(domain_relation,symmetrization_of(complement(power_class(u)))) -> .
% 299.85/300.43  250882[5:Rew:249197.0,250012.1] || subclass(universal_class,symmetrization_of(complement(power_class(u)))) member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.43  250883[0:Rew:249197.0,250013.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),universal_class)** subclass(universal_class,symmetrization_of(complement(power_class(u)))) -> .
% 299.85/300.43  250884[0:Rew:249197.0,250014.0] || subclass(universal_class,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* subclass(universal_class,symmetrization_of(complement(power_class(u)))) -> .
% 299.85/300.43  250885[0:Rew:249197.0,250015.1] || subclass(universal_class,symmetrization_of(complement(power_class(u)))) member(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.43  250886[5:Rew:249197.0,250016.0] || subclass(domain_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* subclass(universal_class,symmetrization_of(complement(power_class(u)))) -> .
% 299.85/300.43  250887[15:Rew:249197.0,250017.0] ||  -> member(singleton(identity_relation),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* member(singleton(identity_relation),symmetrization_of(complement(power_class(u)))).
% 299.85/300.43  250888[14:Rew:249197.0,250064.1] || subclass(omega,complement(successor(complement(power_class(u))))) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250889[14:Rew:249197.0,250065.1] || equal(complement(successor(complement(power_class(u)))),omega) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250890[0:Rew:249197.0,250068.1] || subclass(universal_class,complement(successor(complement(power_class(u))))) -> member(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250891[5:Rew:249197.0,250069.1] || subclass(universal_class,complement(successor(complement(power_class(u))))) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250892[5:Rew:249197.0,250071.1] || equal(complement(successor(complement(power_class(u)))),universal_class) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250893[0:Rew:249197.0,250072.1] || equal(complement(successor(complement(power_class(u)))),universal_class) -> member(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250894[14:Rew:249197.0,250113.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),omega)** equal(successor(complement(power_class(u))),omega) -> .
% 299.85/300.43  250895[14:Rew:249197.0,250114.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),universal_class)** equal(successor(complement(power_class(u))),omega) -> .
% 299.85/300.43  250896[15:Rew:249197.0,250116.1] || well_ordering(universal_class,successor(complement(power_class(u)))) -> member(singleton(identity_relation),intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.43  250897[0:Rew:249197.0,250117.1] || well_ordering(universal_class,successor(complement(power_class(u)))) well_ordering(universal_class,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.43  250898[5:Rew:249197.0,250124.1] || subclass(successor(complement(power_class(u))),identity_relation) well_ordering(universal_class,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.43  250899[14:Rew:249197.0,250131.1] || subclass(omega,successor(complement(power_class(u)))) member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.43  250900[5:Rew:249197.0,250132.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),universal_class)** equal(successor(complement(power_class(u))),domain_relation) -> .
% 299.85/300.43  250901[5:Rew:249197.0,250133.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),domain_relation)** equal(successor(complement(power_class(u))),domain_relation) -> .
% 299.85/300.43  250902[5:Rew:249197.0,250134.0] || subclass(universal_class,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* subclass(domain_relation,successor(complement(power_class(u)))) -> .
% 299.85/300.43  250903[5:Rew:249197.0,250135.0] || subclass(domain_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* subclass(domain_relation,successor(complement(power_class(u)))) -> .
% 299.85/300.43  250904[5:Rew:249197.0,250137.1] || subclass(universal_class,successor(complement(power_class(u)))) member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.43  250905[0:Rew:249197.0,250138.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),universal_class)** subclass(universal_class,successor(complement(power_class(u)))) -> .
% 299.85/300.43  250906[0:Rew:249197.0,250139.0] || subclass(universal_class,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* subclass(universal_class,successor(complement(power_class(u)))) -> .
% 299.85/300.43  250907[0:Rew:249197.0,250140.1] || subclass(universal_class,successor(complement(power_class(u)))) member(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.43  250908[5:Rew:249197.0,250141.0] || subclass(domain_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* subclass(universal_class,successor(complement(power_class(u)))) -> .
% 299.85/300.43  250909[15:Rew:249197.0,250142.0] ||  -> member(singleton(identity_relation),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* member(singleton(identity_relation),successor(complement(power_class(u)))).
% 299.85/300.43  250927[5:Rew:124149.0,249165.1] || member(not_subclass_element(image(element_relation,symmetrization_of(identity_relation)),u),power_class(complement(inverse(identity_relation))))* -> subclass(image(element_relation,symmetrization_of(identity_relation)),u).
% 299.85/300.43  250928[7:Rew:189445.0,249164.1] || member(not_subclass_element(image(element_relation,singleton(identity_relation)),u),power_class(complement(singleton(identity_relation))))* -> subclass(image(element_relation,singleton(identity_relation)),u).
% 299.85/300.43  251290[0:SpR:249204.0,689.1] || member(u,universal_class) -> member(u,intersection(power_class(v),complement(w)))* member(u,union(complement(power_class(v)),w)).
% 299.85/300.43  251296[0:SpR:249204.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),power_class(w)))* member(u,union(v,complement(power_class(w)))).
% 299.85/300.43  252524[5:Rew:251767.0,251904.1] ||  -> subclass(singleton(not_subclass_element(u,intersection(complement(power_class(universal_class)),u))),power_class(universal_class))* subclass(u,intersection(complement(power_class(universal_class)),u)).
% 299.85/300.43  252526[10:Rew:251767.0,251931.1] || subclass(power_class(universal_class),u) -> equal(regular(complement(power_class(universal_class))),identity_relation) member(regular(regular(complement(power_class(universal_class)))),u)*.
% 299.85/300.43  252027[5:Rew:251768.0,234029.2] || equal(identity_relation,u) member(v,image(element_relation,power_class(u)))* member(v,power_class(complement(power_class(identity_relation)))) -> .
% 299.85/300.43  252529[5:Rew:251768.0,252096.1] ||  -> subclass(singleton(not_subclass_element(u,intersection(complement(power_class(identity_relation)),u))),power_class(identity_relation))* subclass(u,intersection(complement(power_class(identity_relation)),u)).
% 299.85/300.43  252531[11:Rew:251768.0,252138.1] || subclass(power_class(identity_relation),u) -> equal(regular(complement(power_class(identity_relation))),identity_relation) member(regular(regular(complement(power_class(identity_relation)))),u)*.
% 299.85/300.43  252532[5:Rew:251768.0,252168.1] || equal(identity_relation,u) member(not_subclass_element(complement(power_class(identity_relation)),v),power_class(u))* -> subclass(complement(power_class(identity_relation)),v).
% 299.85/300.43  252295[0:Rew:251760.0,251026.1] || member(not_subclass_element(image(element_relation,power_class(u)),v),power_class(complement(power_class(u))))* -> subclass(image(element_relation,power_class(u)),v).
% 299.85/300.43  253416[5:SpL:203228.1,249201.0] || equal(identity_relation,u) member(v,image(element_relation,power_class(identity_relation)))* member(v,power_class(complement(power_class(u))))* -> .
% 299.85/300.43  253452[5:Res:5214.2,249201.0] || subclass(u,image(element_relation,power_class(v))) member(regular(u),power_class(complement(power_class(v))))* -> equal(u,identity_relation).
% 299.85/300.43  254047[7:SpR:251758.0,86317.0] ||  -> subclass(complement(successor(power_class(complement(singleton(identity_relation))))),intersection(image(element_relation,singleton(identity_relation)),complement(singleton(power_class(complement(singleton(identity_relation)))))))*.
% 299.85/300.43  254049[7:SpR:251758.0,86316.0] ||  -> subclass(complement(symmetrization_of(power_class(complement(singleton(identity_relation))))),intersection(image(element_relation,singleton(identity_relation)),complement(inverse(power_class(complement(singleton(identity_relation)))))))*.
% 299.85/300.43  254051[7:SpR:251758.0,146648.0] ||  -> equal(intersection(image(element_relation,singleton(identity_relation)),symmetric_difference(universal_class,power_class(complement(singleton(identity_relation))))),symmetric_difference(universal_class,power_class(complement(singleton(identity_relation)))))**.
% 299.85/300.43  254061[7:SpR:251758.0,164613.0] ||  -> subclass(symmetric_difference(image(element_relation,singleton(identity_relation)),symmetric_difference(universal_class,power_class(complement(singleton(identity_relation))))),union(power_class(complement(singleton(identity_relation))),identity_relation))*.
% 299.85/300.43  254062[7:SpR:251758.0,146221.1] || subclass(power_class(complement(singleton(identity_relation))),u) -> subclass(symmetric_difference(u,power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation)))*.
% 299.85/300.43  254063[7:SpR:251758.0,122711.0] ||  -> equal(complement(intersection(image(element_relation,singleton(identity_relation)),union(u,identity_relation))),union(power_class(complement(singleton(identity_relation))),symmetric_difference(universal_class,u)))**.
% 299.85/300.43  254091[7:SpR:251758.0,122708.0] ||  -> equal(complement(intersection(union(u,identity_relation),image(element_relation,singleton(identity_relation)))),union(symmetric_difference(universal_class,u),power_class(complement(singleton(identity_relation)))))**.
% 299.85/300.43  254192[7:SpL:251758.0,8157.0] || member(u,symmetric_difference(image(element_relation,singleton(identity_relation)),complement(v)))* -> member(u,union(power_class(complement(singleton(identity_relation))),v)).
% 299.85/300.43  254202[7:SpL:251758.0,8157.0] || member(u,symmetric_difference(complement(v),image(element_relation,singleton(identity_relation))))* -> member(u,union(v,power_class(complement(singleton(identity_relation))))).
% 299.85/300.43  254304[5:SpR:251759.0,86317.0] ||  -> subclass(complement(successor(power_class(complement(inverse(identity_relation))))),intersection(image(element_relation,symmetrization_of(identity_relation)),complement(singleton(power_class(complement(inverse(identity_relation)))))))*.
% 299.85/300.43  254306[5:SpR:251759.0,86316.0] ||  -> subclass(complement(symmetrization_of(power_class(complement(inverse(identity_relation))))),intersection(image(element_relation,symmetrization_of(identity_relation)),complement(inverse(power_class(complement(inverse(identity_relation)))))))*.
% 299.85/300.43  254308[5:SpR:251759.0,146648.0] ||  -> equal(intersection(image(element_relation,symmetrization_of(identity_relation)),symmetric_difference(universal_class,power_class(complement(inverse(identity_relation))))),symmetric_difference(universal_class,power_class(complement(inverse(identity_relation)))))**.
% 299.85/300.43  254318[5:SpR:251759.0,164613.0] ||  -> subclass(symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),symmetric_difference(universal_class,power_class(complement(inverse(identity_relation))))),union(power_class(complement(inverse(identity_relation))),identity_relation))*.
% 299.85/300.43  254319[5:SpR:251759.0,146221.1] || subclass(power_class(complement(inverse(identity_relation))),u) -> subclass(symmetric_difference(u,power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.85/300.43  254320[5:SpR:251759.0,122711.0] ||  -> equal(complement(intersection(image(element_relation,symmetrization_of(identity_relation)),union(u,identity_relation))),union(power_class(complement(inverse(identity_relation))),symmetric_difference(universal_class,u)))**.
% 299.85/300.43  254348[5:SpR:251759.0,122708.0] ||  -> equal(complement(intersection(union(u,identity_relation),image(element_relation,symmetrization_of(identity_relation)))),union(symmetric_difference(universal_class,u),power_class(complement(inverse(identity_relation)))))**.
% 299.85/300.43  254448[5:SpL:251759.0,8157.0] || member(u,symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(v)))* -> member(u,union(power_class(complement(inverse(identity_relation))),v)).
% 299.85/300.43  254458[5:SpL:251759.0,8157.0] || member(u,symmetric_difference(complement(v),image(element_relation,symmetrization_of(identity_relation))))* -> member(u,union(v,power_class(complement(inverse(identity_relation))))).
% 299.85/300.43  255319[0:Res:53064.1,7570.0] || well_ordering(u,rest_relation) subclass(universal_class,v)* subclass(v,w)* -> member(power_class(least(u,rest_relation)),w)*.
% 299.85/300.43  255320[0:Res:53058.1,7570.0] || well_ordering(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(power_class(least(u,rest_relation)),w)*.
% 299.85/300.43  255321[0:Res:8771.1,7570.0] || well_ordering(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(power_class(least(u,universal_class)),w)*.
% 299.85/300.43  255736[5:Rew:119684.0,255639.1] || equal(identity_relation,u) member(regular(union(v,u)),symmetric_difference(universal_class,v))* -> equal(union(v,u),identity_relation).
% 299.85/300.43  255745[15:Rew:191858.0,255710.1,119684.0,255710.0,22454.0,255710.0] || member(regular(successor(sum_class(range_of(identity_relation)))),symmetric_difference(universal_class,sum_class(range_of(identity_relation))))* -> equal(successor(sum_class(range_of(identity_relation))),identity_relation).
% 299.85/300.43  256006[5:Obv:255986.2] || subclass(unordered_pair(u,v),w)* -> equal(integer_of(v),identity_relation) subclass(unordered_pair(u,v),omega)* member(u,w).
% 299.85/300.43  256292[5:Obv:256270.2] || subclass(unordered_pair(u,v),w)* -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega)* member(v,w).
% 299.85/300.43  256359[5:Res:24.2,256316.0] || member(intersection(u,v),v)* member(intersection(u,v),u)* -> equal(singleton(intersection(u,v)),identity_relation).
% 299.85/300.43  256451[5:MRR:256388.2,202145.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,ordered_pair(u,ordered_pair(v,compose(u,v))))* -> .
% 299.85/300.43  256537[0:Res:53064.1,7605.0] || well_ordering(u,rest_relation) subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(least(u,rest_relation)),w)*.
% 299.85/300.43  256538[0:Res:53058.1,7605.0] || well_ordering(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(least(u,rest_relation)),w)*.
% 299.85/300.43  256539[0:Res:8771.1,7605.0] || well_ordering(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(least(u,universal_class)),w)*.
% 299.85/300.43  256717[17:SpL:209320.1,7594.0] function(u) || member(image(v,identity_relation),universal_class) subclass(universal_class,w) -> member(apply(v,u),w)*.
% 299.85/300.43  256840[0:Res:779.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(ordered_pair(w,x),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  256846[0:Res:762.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(unordered_pair(w,x),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  256854[0:Res:24.2,251410.0] || member(u,complement(v)) member(u,power_class(w)) member(u,union(complement(power_class(w)),v))* -> .
% 299.85/300.43  256858[5:Res:5615.1,251410.0] || subclass(domain_relation,intersection(power_class(u),complement(v))) member(ordered_pair(identity_relation,identity_relation),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  256884[20:Res:212523.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(regular(symmetrization_of(identity_relation)),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  256905[4:Res:212539.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(least(element_relation,omega),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  256906[4:Res:212361.1,251410.0] || subclass(omega,intersection(power_class(u),complement(v))) member(least(element_relation,omega),union(complement(power_class(u)),v))* -> .
% 299.85/300.43  257032[0:Res:779.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(ordered_pair(w,x),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257038[0:Res:762.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(unordered_pair(w,x),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257046[0:Res:24.2,251419.0] || member(u,power_class(v)) member(u,complement(w)) member(u,union(w,complement(power_class(v))))* -> .
% 299.85/300.43  257050[5:Res:5615.1,251419.0] || subclass(domain_relation,intersection(complement(u),power_class(v))) member(ordered_pair(identity_relation,identity_relation),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257076[20:Res:212523.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(regular(symmetrization_of(identity_relation)),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257097[4:Res:212539.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(least(element_relation,omega),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257098[4:Res:212361.1,251419.0] || subclass(omega,intersection(complement(u),power_class(v))) member(least(element_relation,omega),union(u,complement(power_class(v))))* -> .
% 299.85/300.43  257185[0:Res:119650.1,20569.2] || equal(union(u,v),universal_class)** member(singleton(w),complement(v))* member(singleton(w),complement(u))* -> .
% 299.85/300.43  257186[0:Res:763.1,20569.2] || subclass(universal_class,union(u,v))* member(singleton(w),complement(v))* member(singleton(w),complement(u))* -> .
% 299.85/300.44  257200[5:Res:205150.1,20569.2] || subclass(universal_class,union(u,v))* member(power_class(identity_relation),complement(v))* member(power_class(identity_relation),complement(u))* -> .
% 299.85/300.44  257376[5:SpR:257293.1,123927.2] || equal(not_subclass_element(u,v),omega)** subclass(u,omega) -> subclass(u,v) equal(not_subclass_element(u,v),identity_relation).
% 299.85/300.44  257385[5:SpR:257293.1,5578.1] || equal(regular(intersection(u,omega)),omega)** -> equal(intersection(u,omega),identity_relation) equal(regular(intersection(u,omega)),identity_relation).
% 299.85/300.44  257386[5:SpR:257293.1,5603.1] || equal(regular(intersection(omega,u)),omega)** -> equal(intersection(omega,u),identity_relation) equal(regular(intersection(omega,u)),identity_relation).
% 299.85/300.44  257416[17:SpR:47789.0,213258.1] || subclass(domain_relation,rest_relation) -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(rest_of(regular(ordered_pair(u,v))),identity_relation)**.
% 299.85/300.44  257417[17:SpR:47789.0,213082.1] || subclass(rest_relation,domain_relation) -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(rest_of(regular(ordered_pair(u,v))),identity_relation)**.
% 299.85/300.44  257423[5:SpR:47789.0,14.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(unordered_pair(singleton(u),regular(ordered_pair(u,v))),ordered_pair(u,v))**.
% 299.85/300.44  257431[17:SpR:209320.1,47789.0] function(u) ||  -> equal(regular(ordered_pair(v,u)),unordered_pair(v,identity_relation))** equal(regular(ordered_pair(v,u)),singleton(v)).
% 299.85/300.44  257538[5:MRR:257511.1,176.0] || equal(u,regular(ordered_pair(v,w)))* -> equal(regular(ordered_pair(v,w)),singleton(v))** member(singleton(w),u)*.
% 299.85/300.44  257539[5:MRR:257474.0,176.0] || subclass(regular(ordered_pair(u,v)),w)* -> equal(regular(ordered_pair(u,v)),singleton(u)) member(singleton(v),w).
% 299.85/300.44  257588[5:SpR:257304.1,123927.2] || equal(not_subclass_element(u,v),universal_class)** subclass(u,omega) -> subclass(u,v) equal(not_subclass_element(u,v),identity_relation).
% 299.85/300.44  257597[5:SpR:257304.1,5578.1] || equal(regular(intersection(u,omega)),universal_class)** -> equal(intersection(u,omega),identity_relation) equal(regular(intersection(u,omega)),identity_relation).
% 299.85/300.44  257598[5:SpR:257304.1,5603.1] || equal(regular(intersection(omega,u)),universal_class)** -> equal(intersection(omega,u),identity_relation) equal(regular(intersection(omega,u)),identity_relation).
% 299.85/300.44  258035[5:Res:8059.2,1054.0] || well_ordering(u,universal_class) -> equal(intersection(singleton(v),w),identity_relation) equal(least(u,intersection(singleton(v),w)),v)**.
% 299.85/300.44  258229[5:Res:8060.2,1054.0] || well_ordering(u,universal_class) -> equal(intersection(v,singleton(w)),identity_relation) equal(least(u,intersection(v,singleton(w))),w)**.
% 299.85/300.44  258343[5:Res:8057.3,233419.0] || well_ordering(u,universal_class) subclass(v,singleton(omega)) -> equal(v,identity_relation) equal(integer_of(least(u,v)),identity_relation)**.
% 299.85/300.44  258350[5:Res:8057.3,25.1] || well_ordering(u,universal_class) subclass(v,complement(w)) member(least(u,v),w)* -> equal(v,identity_relation).
% 299.85/300.44  258353[5:Res:8057.3,222432.0] || well_ordering(u,universal_class) subclass(v,complement(complement(w))) -> equal(v,identity_relation) member(least(u,v),w)*.
% 299.85/300.44  258355[5:Res:8057.3,22.0] || well_ordering(u,universal_class) subclass(v,intersection(w,x))* -> equal(v,identity_relation) member(least(u,v),w)*.
% 299.85/300.44  258356[5:Res:8057.3,23.0] || well_ordering(u,universal_class) subclass(v,intersection(w,x))* -> equal(v,identity_relation) member(least(u,v),x)*.
% 299.85/300.44  258372[5:Res:8057.3,29473.0] || well_ordering(u,universal_class) subclass(v,domain_of(w)) -> equal(v,identity_relation) member(least(u,v),cantor(w))*.
% 299.85/300.44  258375[5:Res:8057.3,242117.0] || well_ordering(u,universal_class) subclass(v,domain_of(complement(cross_product(singleton(least(u,v)),universal_class))))* -> equal(v,identity_relation).
% 299.85/300.44  258381[5:Res:8057.3,242218.0] || well_ordering(u,universal_class) subclass(v,cantor(complement(cross_product(singleton(least(u,v)),universal_class))))* -> equal(v,identity_relation).
% 299.85/300.44  258390[5:Res:8057.3,208753.0] || well_ordering(u,universal_class) subclass(v,rest_of(least(u,v)))* subclass(element_relation,identity_relation) -> equal(v,identity_relation).
% 299.85/300.44  258392[5:Res:8057.3,222174.0] || well_ordering(u,universal_class) subclass(v,symmetrization_of(identity_relation)) -> equal(v,identity_relation) member(least(u,v),inverse(identity_relation))*.
% 299.85/300.44  258533[0:SpL:146022.0,8164.1] || member(u,symmetric_difference(v,intersection(v,w)))* subclass(complement(intersection(v,w)),x)* -> member(u,x)*.
% 299.85/300.44  258534[0:SpL:146209.0,8164.1] || member(u,symmetric_difference(v,intersection(w,v)))* subclass(complement(intersection(w,v)),x)* -> member(u,x)*.
% 299.85/300.44  258541[0:SpL:145868.1,8164.1] || subclass(u,v) member(w,symmetric_difference(v,u))* subclass(complement(u),x)* -> member(w,x)*.
% 299.85/300.44  258620[0:Res:45819.1,8164.1] || subclass(complement(intersection(u,v)),cantor(w))* member(x,symmetric_difference(u,v))* -> member(x,domain_of(w))*.
% 299.85/300.44  258688[5:Rew:194984.1,258687.1] || equal(complement(u),universal_class) member(v,union(u,w))* subclass(universal_class,x) -> member(v,x)*.
% 299.85/300.44  258690[5:Rew:194808.1,258689.1] || equal(complement(u),universal_class) member(v,union(w,u))* subclass(universal_class,x) -> member(v,x)*.
% 299.85/300.44  258692[5:Rew:118526.1,258691.0] || member(u,union(singleton(v),v))* subclass(universal_class,w) -> equal(singleton(v),identity_relation) member(u,w)*.
% 299.85/300.44  258694[5:Rew:118447.0,258556.1] || member(u,symmetric_difference(complement(v),symmetric_difference(universal_class,v)))* subclass(union(v,identity_relation),w)* -> member(u,w)*.
% 299.85/300.44  258696[7:Rew:246917.0,258695.0] || member(u,union(singleton(identity_relation),intersection(v,complement(singleton(identity_relation)))))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.44  258698[7:Rew:247580.0,258697.0] || member(u,union(singleton(identity_relation),intersection(complement(singleton(identity_relation)),v)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.44  258700[5:Rew:200296.1,258699.0] || member(u,union(singleton(v),singleton(w)))* subclass(universal_class,x) -> equal(w,v) member(u,x)*.
% 299.85/300.44  258704[5:Rew:247041.0,258703.0] || member(u,union(symmetrization_of(identity_relation),intersection(v,complement(inverse(identity_relation)))))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.44  258706[5:Rew:247712.0,258705.0] || member(u,union(symmetrization_of(identity_relation),intersection(complement(inverse(identity_relation)),v)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.44  258708[7:Rew:248200.0,258707.0] || member(u,union(intersection(v,complement(singleton(identity_relation))),singleton(identity_relation)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.44  258710[5:Rew:249095.0,258709.0] || member(u,union(intersection(v,complement(inverse(identity_relation))),symmetrization_of(identity_relation)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.44  258712[7:Rew:254681.0,258711.0] || member(u,union(intersection(complement(singleton(identity_relation)),v),singleton(identity_relation)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.44  258714[5:Rew:255968.0,258713.0] || member(u,union(intersection(complement(inverse(identity_relation)),v),symmetrization_of(identity_relation)))* subclass(universal_class,w) -> member(u,w)*.
% 299.85/300.44  259107[5:Res:256424.0,126.0] || subclass(u,v)* well_ordering(w,v)* -> equal(singleton(complement(u)),identity_relation) member(least(w,u),u)*.
% 299.85/300.44  259373[5:Res:30856.1,153534.1] || member(u,union(v,w)) equal(complement(intersection(v,w)),universal_class) -> member(u,symmetric_difference(v,w))*.
% 299.85/300.44  259618[5:Obv:259594.1] || subclass(unordered_pair(u,v),v)* -> equal(not_subclass_element(unordered_pair(u,v),w),u)** subclass(unordered_pair(u,v),w).
% 299.85/300.44  259619[5:Obv:259593.1] || subclass(unordered_pair(u,v),u)* -> equal(not_subclass_element(unordered_pair(u,v),w),v)** subclass(unordered_pair(u,v),w).
% 299.85/300.44  259638[5:Obv:259624.1] || equal(unordered_pair(u,v),v) -> equal(not_subclass_element(unordered_pair(u,v),w),u)** subclass(unordered_pair(u,v),w).
% 299.85/300.44  259639[5:Obv:259623.1] || equal(unordered_pair(u,v),u) -> equal(not_subclass_element(unordered_pair(u,v),w),v)** subclass(unordered_pair(u,v),w).
% 299.85/300.44  259681[0:Obv:259645.2] || member(u,v) subclass(unordered_pair(w,u),x)* -> subclass(unordered_pair(w,u),v)* member(w,x).
% 299.85/300.44  259792[0:Obv:259754.2] || member(u,v) subclass(unordered_pair(u,w),x)* -> subclass(unordered_pair(u,w),v)* member(w,x).
% 299.85/300.44  260041[0:Res:58.0,8430.0] || subclass(cross_product(universal_class,universal_class),u) -> subclass(compose(v,w),x) member(not_subclass_element(compose(v,w),x),u)*.
% 299.85/300.44  260045[0:Res:36.0,8430.0] || subclass(cross_product(cross_product(universal_class,universal_class),universal_class),u)* -> subclass(flip(v),w) member(not_subclass_element(flip(v),w),u)*.
% 299.85/300.44  260046[0:Res:33.0,8430.0] || subclass(cross_product(cross_product(universal_class,universal_class),universal_class),u)* -> subclass(rotate(v),w) member(not_subclass_element(rotate(v),w),u)*.
% 299.85/300.44  260057[4:Res:3364.1,8430.0] || member(u,universal_class) subclass(u,v) -> subclass(sum_class(u),w) member(not_subclass_element(sum_class(u),w),v)*.
% 299.85/300.44  260059[5:Res:163531.1,8430.0] || equal(power_class(u),universal_class) subclass(power_class(u),v)* -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.85/300.44  260060[5:Res:146432.1,8430.0] || equal(sum_class(u),universal_class) subclass(sum_class(u),v)* -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.85/300.44  260062[5:Res:150282.1,8430.0] || equal(range_of(u),universal_class) subclass(range_of(u),v)* -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.85/300.44  260068[5:Res:162500.1,8430.0] || equal(complement(u),universal_class) subclass(complement(u),v)* -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.85/300.44  260069[5:Res:230113.0,8430.0] || subclass(complement(u),v) -> equal(u,identity_relation) subclass(regular(u),w) member(not_subclass_element(regular(u),w),v)*.
% 299.85/300.44  260070[5:Res:230404.0,8430.0] || subclass(complement(singleton(u)),v) -> equal(singleton(u),identity_relation) subclass(u,w) member(not_subclass_element(u,w),v)*.
% 299.85/300.44  260095[0:Res:227090.0,8430.0] || subclass(complement(cantor(u)),v) -> subclass(complement(domain_of(u)),w) member(not_subclass_element(complement(domain_of(u)),w),v)*.
% 299.85/300.44  260106[5:Res:146436.1,8430.0] || equal(inverse(u),universal_class) subclass(inverse(u),v)* -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.85/300.44  260298[5:Res:8213.2,233419.0] || subclass(u,singleton(omega)) -> subclass(intersection(v,u),w) equal(integer_of(not_subclass_element(intersection(v,u),w)),identity_relation)**.
% 299.85/300.44  260305[0:Res:8213.2,25.1] || subclass(u,complement(v)) member(not_subclass_element(intersection(w,u),x),v)* -> subclass(intersection(w,u),x).
% 299.85/300.44  260308[0:Res:8213.2,222432.0] || subclass(u,complement(complement(v))) -> subclass(intersection(w,u),x) member(not_subclass_element(intersection(w,u),x),v)*.
% 299.85/300.44  260310[0:Res:8213.2,22.0] || subclass(u,intersection(v,w))* -> subclass(intersection(x,u),y) member(not_subclass_element(intersection(x,u),y),v)*.
% 299.85/300.44  260311[0:Res:8213.2,23.0] || subclass(u,intersection(v,w))* -> subclass(intersection(x,u),y) member(not_subclass_element(intersection(x,u),y),w)*.
% 299.85/300.44  260327[5:Res:8213.2,29473.0] || subclass(u,domain_of(v)) -> subclass(intersection(w,u),x) member(not_subclass_element(intersection(w,u),x),cantor(v))*.
% 299.85/300.44  260330[5:Res:8213.2,242117.0] || subclass(u,domain_of(complement(cross_product(singleton(not_subclass_element(intersection(v,u),w)),universal_class))))* -> subclass(intersection(v,u),w).
% 299.85/300.44  260336[5:Res:8213.2,242218.0] || subclass(u,cantor(complement(cross_product(singleton(not_subclass_element(intersection(v,u),w)),universal_class))))* -> subclass(intersection(v,u),w).
% 299.85/300.44  260345[5:Res:8213.2,208753.0] || subclass(u,rest_of(not_subclass_element(intersection(v,u),w)))* subclass(element_relation,identity_relation) -> subclass(intersection(v,u),w).
% 299.85/300.44  260347[5:Res:8213.2,222174.0] || subclass(u,symmetrization_of(identity_relation)) -> subclass(intersection(v,u),w) member(not_subclass_element(intersection(v,u),w),inverse(identity_relation))*.
% 299.85/300.44  260639[5:Res:260484.1,8430.0] || subclass(universal_class,u)* subclass(u,v)* -> subclass(cantor(w),x) member(not_subclass_element(cantor(w),x),v)*.
% 299.85/300.44  260644[5:Res:260484.1,5259.0] || subclass(universal_class,u) well_ordering(v,u)* -> equal(segment(v,cantor(w),least(v,cantor(w))),identity_relation)**.
% 299.85/300.44  260654[5:Res:260484.1,727.1] inductive(cantor(u)) || subclass(universal_class,image(successor_relation,cantor(u)))* -> equal(image(successor_relation,cantor(u)),cantor(u)).
% 299.85/300.44  260655[5:Res:260484.1,8397.0] || subclass(universal_class,restrict(u,v,w))* -> equal(cantor(x),identity_relation) member(regular(cantor(x)),cross_product(v,w))*.
% 299.85/300.44  260715[5:Res:260493.1,8432.0] || subclass(universal_class,intersection(u,v))* -> subclass(symmetric_difference(universal_class,w),x) member(not_subclass_element(symmetric_difference(universal_class,w),x),u)*.
% 299.85/300.44  260716[5:Res:260493.1,8433.0] || subclass(universal_class,intersection(u,v))* -> subclass(symmetric_difference(universal_class,w),x) member(not_subclass_element(symmetric_difference(universal_class,w),x),v)*.
% 299.85/300.44  260723[5:Res:260493.1,5318.0] || subclass(universal_class,restrict(u,v,w))* -> equal(symmetric_difference(universal_class,x),identity_relation) member(regular(symmetric_difference(universal_class,x)),u)*.
% 299.85/300.44  260873[0:Res:8216.1,1054.0] ||  -> subclass(intersection(u,intersection(v,singleton(w))),x) equal(not_subclass_element(intersection(u,intersection(v,singleton(w))),x),w)**.
% 299.85/300.44  261443[0:Res:8215.1,1054.0] ||  -> subclass(intersection(u,intersection(singleton(v),w)),x) equal(not_subclass_element(intersection(u,intersection(singleton(v),w)),x),v)**.
% 299.85/300.44  261837[5:Res:261666.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(intersection(v,symmetrization_of(identity_relation)),identity_relation) member(regular(intersection(v,symmetrization_of(identity_relation))),u)*.
% 299.85/300.44  261942[5:Res:8307.2,233419.0] || subclass(u,singleton(omega)) -> subclass(intersection(u,v),w) equal(integer_of(not_subclass_element(intersection(u,v),w)),identity_relation)**.
% 299.85/300.44  261949[0:Res:8307.2,25.1] || subclass(u,complement(v)) member(not_subclass_element(intersection(u,w),x),v)* -> subclass(intersection(u,w),x).
% 299.85/300.44  261952[0:Res:8307.2,222432.0] || subclass(u,complement(complement(v))) -> subclass(intersection(u,w),x) member(not_subclass_element(intersection(u,w),x),v)*.
% 299.85/300.44  261954[0:Res:8307.2,22.0] || subclass(u,intersection(v,w))* -> subclass(intersection(u,x),y) member(not_subclass_element(intersection(u,x),y),v)*.
% 299.85/300.44  261955[0:Res:8307.2,23.0] || subclass(u,intersection(v,w))* -> subclass(intersection(u,x),y) member(not_subclass_element(intersection(u,x),y),w)*.
% 299.85/300.44  261971[5:Res:8307.2,29473.0] || subclass(u,domain_of(v)) -> subclass(intersection(u,w),x) member(not_subclass_element(intersection(u,w),x),cantor(v))*.
% 299.85/300.44  261974[5:Res:8307.2,242117.0] || subclass(u,domain_of(complement(cross_product(singleton(not_subclass_element(intersection(u,v),w)),universal_class))))* -> subclass(intersection(u,v),w).
% 299.85/300.44  261980[5:Res:8307.2,242218.0] || subclass(u,cantor(complement(cross_product(singleton(not_subclass_element(intersection(u,v),w)),universal_class))))* -> subclass(intersection(u,v),w).
% 299.85/300.44  261989[5:Res:8307.2,208753.0] || subclass(u,rest_of(not_subclass_element(intersection(u,v),w)))* subclass(element_relation,identity_relation) -> subclass(intersection(u,v),w).
% 299.85/300.44  261991[5:Res:8307.2,222174.0] || subclass(u,symmetrization_of(identity_relation)) -> subclass(intersection(u,v),w) member(not_subclass_element(intersection(u,v),w),inverse(identity_relation))*.
% 299.85/300.44  262176[0:Res:261657.0,8428.0] ||  -> subclass(intersection(u,complement(complement(singleton(v)))),w) equal(not_subclass_element(intersection(u,complement(complement(singleton(v)))),w),v)**.
% 299.85/300.44  262347[0:Res:8310.1,1054.0] ||  -> subclass(intersection(intersection(u,singleton(v)),w),x) equal(not_subclass_element(intersection(intersection(u,singleton(v)),w),x),v)**.
% 299.85/300.44  262822[0:Res:262607.0,8428.0] ||  -> subclass(complement(complement(intersection(u,singleton(v)))),w) equal(not_subclass_element(complement(complement(intersection(u,singleton(v)))),w),v)**.
% 299.85/300.44  263038[0:Res:8309.1,1054.0] ||  -> subclass(intersection(intersection(singleton(u),v),w),x) equal(not_subclass_element(intersection(intersection(singleton(u),v),w),x),u)**.
% 299.85/300.44  263258[5:Res:262795.0,5316.0] || subclass(complement(u),v) -> equal(complement(union(w,u)),identity_relation) member(regular(complement(union(w,u))),v)*.
% 299.85/300.44  263314[0:Res:263232.0,8430.0] || subclass(complement(singleton(u)),v) -> subclass(complement(successor(u)),w) member(not_subclass_element(complement(successor(u)),w),v)*.
% 299.85/300.44  263319[5:Res:263232.0,5259.0] || well_ordering(u,complement(singleton(v))) -> equal(segment(u,complement(successor(v)),least(u,complement(successor(v)))),identity_relation)**.
% 299.85/300.44  263346[0:Res:263234.0,8430.0] || subclass(complement(inverse(u)),v) -> subclass(complement(symmetrization_of(u)),w) member(not_subclass_element(complement(symmetrization_of(u)),w),v)*.
% 299.85/300.44  263351[5:Res:263234.0,5259.0] || well_ordering(u,complement(inverse(v))) -> equal(segment(u,complement(symmetrization_of(v)),least(u,complement(symmetrization_of(v)))),identity_relation)**.
% 299.85/300.44  263572[15:SpR:208959.1,9102.1] function(restrict(cross_product(u,v),w,x)) || section(cross_product(w,x),v,u)* -> subclass(universal_class,v).
% 299.85/300.44  263660[5:Res:263414.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(intersection(symmetrization_of(identity_relation),v),identity_relation) member(regular(intersection(symmetrization_of(identity_relation),v)),u)*.
% 299.85/300.44  263767[0:Res:263405.0,8428.0] ||  -> subclass(intersection(complement(complement(singleton(u))),v),w) equal(not_subclass_element(intersection(complement(complement(singleton(u))),v),w),u)**.
% 299.85/300.44  263840[5:Res:263738.0,8430.0] || subclass(u,v) -> subclass(symmetric_difference(universal_class,complement(u)),w) member(not_subclass_element(symmetric_difference(universal_class,complement(u)),w),v)*.
% 299.85/300.44  263845[5:Res:263738.0,5259.0] || well_ordering(u,v) -> equal(segment(u,symmetric_difference(universal_class,complement(v)),least(u,symmetric_difference(universal_class,complement(v)))),identity_relation)**.
% 299.85/300.44  263850[5:Res:263738.0,8432.0] ||  -> subclass(symmetric_difference(universal_class,complement(intersection(u,v))),w) member(not_subclass_element(symmetric_difference(universal_class,complement(intersection(u,v))),w),u)*.
% 299.85/300.44  263851[5:Res:263738.0,8433.0] ||  -> subclass(symmetric_difference(universal_class,complement(intersection(u,v))),w) member(not_subclass_element(symmetric_difference(universal_class,complement(intersection(u,v))),w),v)*.
% 299.85/300.44  263947[0:Res:263745.0,8428.0] ||  -> subclass(complement(complement(complement(complement(singleton(u))))),v) equal(not_subclass_element(complement(complement(complement(complement(singleton(u))))),v),u)**.
% 299.85/300.44  264116[0:Res:263450.0,8428.0] ||  -> subclass(complement(complement(intersection(singleton(u),v))),w) equal(not_subclass_element(complement(complement(intersection(singleton(u),v))),w),u)**.
% 299.85/300.44  264318[5:Res:264089.0,5316.0] || subclass(complement(u),v) -> equal(complement(union(u,w)),identity_relation) member(regular(complement(union(u,w))),v)*.
% 299.85/300.44  264806[5:Rew:177102.1,264799.2] || equal(power_class(u),universal_class) member(regular(power_class(identity_relation)),image(element_relation,power_class(u)))* -> equal(power_class(identity_relation),identity_relation).
% 299.85/300.44  264807[5:Rew:202351.1,264798.2] || equal(power_class(u),identity_relation) member(regular(power_class(universal_class)),image(element_relation,power_class(u)))* -> equal(power_class(universal_class),identity_relation).
% 299.85/300.44  264946[5:Res:263560.1,183412.0] || equal(complement(u),identity_relation) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(singleton(v),least(omega,universal_class))),identity_relation)**.
% 299.85/300.44  265232[5:Res:263560.1,3335.2] || equal(complement(u),identity_relation) member(v,w)* member(x,y)* -> member(ordered_pair(x,v),u)*.
% 299.85/300.44  266242[0:Rew:29.0,266160.1] single_valued_class(restrict(intersection(u,cross_product(universal_class,universal_class)),v,w)) ||  -> function(restrict(restrict(u,universal_class,universal_class),v,w))*.
% 299.85/300.44  266487[0:Rew:30.0,266405.1] single_valued_class(restrict(intersection(cross_product(universal_class,universal_class),u),v,w)) ||  -> function(restrict(restrict(u,universal_class,universal_class),v,w))*.
% 299.85/300.44  266905[0:Res:20388.1,34161.0] || subclass(rest_relation,flip(cross_product(universal_class,universal_class))) subclass(composition_function,rest_of(u)) -> member(ordered_pair(v,w),domain_of(u))*.
% 299.85/300.44  266908[17:Res:195388.1,34161.0] || subclass(domain_relation,flip(cross_product(universal_class,universal_class))) subclass(composition_function,rest_of(u)) -> member(ordered_pair(v,w),domain_of(u))*.
% 299.85/300.44  266995[5:MRR:266968.0,55.1] || member(u,universal_class) subclass(universal_class,regular(unordered_pair(v,sum_class(u))))* -> equal(unordered_pair(v,sum_class(u)),identity_relation).
% 299.85/300.44  266996[5:MRR:266967.0,55.1] || member(u,universal_class) subclass(universal_class,regular(unordered_pair(sum_class(u),v)))* -> equal(unordered_pair(sum_class(u),v),identity_relation).
% 299.85/300.44  267132[5:MRR:267092.0,57.1] || member(u,universal_class) subclass(universal_class,regular(unordered_pair(v,power_class(u))))* -> equal(unordered_pair(v,power_class(u)),identity_relation).
% 299.85/300.44  267133[5:MRR:267091.0,57.1] || member(u,universal_class) subclass(universal_class,regular(unordered_pair(power_class(u),v)))* -> equal(unordered_pair(power_class(u),v),identity_relation).
% 299.85/300.44  267172[7:Res:263210.0,8428.0] ||  -> subclass(complement(union(u,complement(singleton(identity_relation)))),v) equal(not_subclass_element(complement(union(u,complement(singleton(identity_relation)))),v),identity_relation)**.
% 299.85/300.44  267308[7:Res:264270.0,8428.0] ||  -> subclass(complement(union(complement(singleton(identity_relation)),u)),v) equal(not_subclass_element(complement(union(complement(singleton(identity_relation)),u)),v),identity_relation)**.
% 299.85/300.44  267609[9:Res:267581.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(regular(complement(inverse(identity_relation))),identity_relation) member(regular(regular(complement(inverse(identity_relation)))),u)*.
% 299.85/300.44  267679[20:Rew:5253.1,267671.2] || subclass(inverse(identity_relation),u) -> equal(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),identity_relation) member(not_subclass_element(symmetrization_of(identity_relation),identity_relation),u)*.
% 299.85/300.44  268214[0:Res:20388.1,34162.0] || subclass(rest_relation,flip(cross_product(universal_class,universal_class)))* subclass(composition_function,cross_product(u,v))* -> member(ordered_pair(w,x),u)*.
% 299.85/300.44  268217[17:Res:195388.1,34162.0] || subclass(domain_relation,flip(cross_product(universal_class,universal_class)))* subclass(composition_function,cross_product(u,v))* -> member(ordered_pair(w,x),u)*.
% 299.85/300.44  268359[15:SpL:191663.0,9122.1] || member(sum_class(range_of(identity_relation)),domain_of(cross_product(u,v)))* equal(restrict(cross_product(identity_relation,universal_class),u,v),identity_relation) -> .
% 299.85/300.44  268729[5:Obv:268680.1] || subclass(symmetric_difference(complement(u),complement(v)),complement(union(u,v)))* -> equal(symmetric_difference(complement(u),complement(v)),identity_relation).
% 299.85/300.44  268753[5:MRR:268752.2,206859.0] || subclass(symmetric_difference(complement(u),complement(v)),regular(union(u,v)))* -> equal(symmetric_difference(complement(u),complement(v)),identity_relation).
% 299.85/300.44  268783[15:SpR:233634.0,5563.1] || subclass(omega,composition_function) -> equal(integer_of(ordered_pair(u,ordered_pair(v,universal_class))),identity_relation)** equal(compose(u,v),range_of(identity_relation)).
% 299.85/300.44  268793[15:Rew:268783.2,268784.2] || subclass(omega,composition_function) -> equal(integer_of(ordered_pair(u,ordered_pair(v,universal_class))),identity_relation)** equal(sum_class(range_of(identity_relation)),range_of(identity_relation)).
% 299.85/300.44  268794[17:Rew:268790.2,268786.3] function(u) || subclass(omega,composition_function) -> equal(integer_of(ordered_pair(v,singleton(singleton(identity_relation)))),identity_relation)** equal(universal_class,u)*.
% 299.85/300.44  268933[13:MRR:268898.2,203223.0] || member(regular(intersection(u,regular(compose(element_relation,universal_class)))),element_relation)* -> equal(intersection(u,regular(compose(element_relation,universal_class))),identity_relation).
% 299.85/300.44  269111[13:MRR:269074.2,203223.0] || member(regular(intersection(regular(compose(element_relation,universal_class)),u)),element_relation)* -> equal(intersection(regular(compose(element_relation,universal_class)),u),identity_relation).
% 299.85/300.44  269280[17:Rew:209320.1,269268.1] function(u) ||  -> equal(cross_product(v,identity_relation),identity_relation) equal(domain__dfg(regular(cross_product(v,identity_relation)),v,u),single_valued3(identity_relation))**.
% 299.85/300.44  269550[0:Res:763.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(singleton(w),image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269564[5:Res:205150.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(power_class(identity_relation),image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269606[7:Res:125624.1,7532.1] || equal(power_class(intersection(complement(u),complement(v))),singleton(identity_relation)) member(identity_relation,image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269798[5:MRR:269762.0,176.0] || member(sum_class(singleton(u)),universal_class) -> equal(sum_class(singleton(u)),identity_relation) equal(apply(choice,sum_class(singleton(u))),u)**.
% 299.85/300.44  269860[17:Res:205098.1,195192.0] || equal(identity_relation,u) subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(power_class(u),identity_relation),w)*.
% 299.85/300.44  269861[17:Res:57.1,195192.0] || member(u,universal_class) subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(power_class(u),identity_relation),w)*.
% 299.85/300.44  269863[17:Res:29531.1,195192.0] || subclass(domain_relation,u)* subclass(u,v)* -> subclass(w,x) member(ordered_pair(not_subclass_element(w,x),identity_relation),v)*.
% 299.85/300.44  269865[17:Res:55.1,195192.0] || member(u,universal_class) subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(sum_class(u),identity_relation),w)*.
% 299.85/300.44  269867[17:Res:7512.1,195192.0] function(u) || subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(apply(u,x),identity_relation),w)*.
% 299.85/300.44  269872[17:Res:226257.1,195192.0] || member(u,universal_class) subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(rest_of(u),identity_relation),w)*.
% 299.85/300.44  270092[0:SpR:251233.0,8337.0] ||  -> subclass(symmetric_difference(union(complement(power_class(u)),v),union(power_class(u),complement(v))),complement(symmetric_difference(power_class(u),complement(v))))*.
% 299.85/300.44  270483[5:SpR:251244.0,263738.0] ||  -> subclass(symmetric_difference(universal_class,union(intersection(power_class(u),complement(v)),w)),intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.44  270486[5:SpR:251244.0,227539.0] ||  -> equal(intersection(union(intersection(power_class(u),complement(v)),w),intersection(union(complement(power_class(u)),v),complement(w))),identity_relation)**.
% 299.85/300.44  270487[5:SpR:251244.0,227712.0] ||  -> equal(union(union(intersection(power_class(u),complement(v)),w),intersection(union(complement(power_class(u)),v),complement(w))),universal_class)**.
% 299.85/300.44  270488[5:SpR:251244.0,227727.0] ||  -> equal(symmetric_difference(union(intersection(power_class(u),complement(v)),w),intersection(union(complement(power_class(u)),v),complement(w))),universal_class)**.
% 299.85/300.44  270489[5:SpR:251244.0,227957.0] ||  -> equal(intersection(intersection(union(complement(power_class(u)),v),complement(w)),union(intersection(power_class(u),complement(v)),w)),identity_relation)**.
% 299.85/300.44  270490[5:SpR:251244.0,228164.0] ||  -> equal(union(intersection(union(complement(power_class(u)),v),complement(w)),union(intersection(power_class(u),complement(v)),w)),universal_class)**.
% 299.85/300.44  270491[5:SpR:251244.0,228195.0] ||  -> equal(symmetric_difference(intersection(union(complement(power_class(u)),v),complement(w)),union(intersection(power_class(u),complement(v)),w)),universal_class)**.
% 299.85/300.44  270503[0:SpR:251244.0,264292.0] ||  -> subclass(complement(successor(intersection(union(complement(power_class(u)),v),complement(w)))),union(intersection(power_class(u),complement(v)),w))*.
% 299.85/300.44  270504[0:SpR:251244.0,264294.0] ||  -> subclass(complement(symmetrization_of(intersection(union(complement(power_class(u)),v),complement(w)))),union(intersection(power_class(u),complement(v)),w))*.
% 299.85/300.44  270716[5:Rew:22454.0,270583.1] || equal(complement(union(complement(power_class(u)),v)),universal_class) -> equal(union(intersection(power_class(u),complement(v)),w),universal_class)**.
% 299.85/300.44  9167[0:Res:9005.0,8.0] || subclass(successor(u),symmetric_difference(complement(u),complement(singleton(u))))* -> equal(symmetric_difference(complement(u),complement(singleton(u))),successor(u)).
% 299.85/300.44  9030[0:Res:8614.0,8.0] || subclass(union(u,v),symmetric_difference(complement(u),complement(v)))* -> equal(symmetric_difference(complement(u),complement(v)),union(u,v)).
% 299.85/300.44  8881[0:SpR:932.0,24.2] || member(u,successor(v)) member(u,complement(intersection(v,singleton(v))))* -> member(u,symmetric_difference(v,singleton(v))).
% 299.85/300.44  40223[0:Res:24.2,1025.1] || member(ordered_pair(u,v),w)* member(ordered_pair(u,v),x)* subclass(universal_class,complement(intersection(x,w)))* -> .
% 299.85/300.44  47917[0:Res:780.2,8165.1] || member(u,universal_class) subclass(rest_relation,intersection(v,w)) member(ordered_pair(u,rest_of(u)),symmetric_difference(v,w))* -> .
% 299.85/300.44  32814[0:Res:7.1,3335.2] || equal(u,cross_product(v,w))* member(x,w)* member(y,v)* -> member(ordered_pair(y,x),u)*.
% 299.85/300.44  20890[0:SpR:580.0,44.0] ||  -> equal(complement(intersection(union(u,v),complement(singleton(intersection(complement(u),complement(v)))))),successor(intersection(complement(u),complement(v))))**.
% 299.85/300.44  86422[0:SpR:27.0,86317.0] ||  -> subclass(complement(successor(intersection(complement(u),complement(v)))),intersection(union(u,v),complement(singleton(intersection(complement(u),complement(v))))))*.
% 299.85/300.44  39972[0:Res:24.2,1002.1] || member(unordered_pair(u,v),w)* member(unordered_pair(u,v),x)* subclass(universal_class,complement(intersection(x,w)))* -> .
% 299.85/300.44  47752[0:Res:783.1,588.0] || subclass(ordered_pair(u,v),intersection(complement(w),complement(x)))* member(unordered_pair(u,singleton(v)),union(w,x)) -> .
% 299.85/300.44  45847[0:Obv:45808.1] || member(u,cantor(v)) -> equal(not_subclass_element(unordered_pair(w,u),domain_of(v)),w)** subclass(unordered_pair(w,u),domain_of(v)).
% 299.85/300.44  8427[0:Res:766.2,9.0] || subclass(u,unordered_pair(v,w))* -> subclass(u,x) equal(not_subclass_element(u,x),w)* equal(not_subclass_element(u,x),v)*.
% 299.85/300.44  45848[0:Obv:45807.1] || member(u,cantor(v)) -> equal(not_subclass_element(unordered_pair(u,w),domain_of(v)),w)** subclass(unordered_pair(u,w),domain_of(v)).
% 299.85/300.44  40931[0:SpL:930.0,1003.0] || subclass(universal_class,symmetric_difference(complement(intersection(u,v)),union(u,v)))* -> member(unordered_pair(w,x),complement(symmetric_difference(u,v)))*.
% 299.85/300.44  20573[0:Res:764.2,588.0] || member(u,universal_class) subclass(universal_class,intersection(complement(v),complement(w)))* member(power_class(u),union(v,w))* -> .
% 299.85/300.44  20572[0:Res:766.2,588.0] || subclass(u,intersection(complement(v),complement(w))) member(not_subclass_element(u,x),union(v,w))* -> subclass(u,x).
% 299.85/300.44  47663[0:Res:29726.0,8834.0] ||  -> subclass(complement(complement(symmetric_difference(u,inverse(u)))),v) member(not_subclass_element(complement(complement(symmetric_difference(u,inverse(u)))),v),symmetrization_of(u))*.
% 299.85/300.44  47664[0:Res:29726.0,8898.0] ||  -> subclass(complement(complement(symmetric_difference(u,singleton(u)))),v) member(not_subclass_element(complement(complement(symmetric_difference(u,singleton(u)))),v),successor(u))*.
% 299.85/300.44  41070[0:Res:356.1,8834.0] ||  -> subclass(intersection(u,symmetric_difference(v,inverse(v))),w) member(not_subclass_element(intersection(u,symmetric_difference(v,inverse(v))),w),symmetrization_of(v))*.
% 299.85/300.44  41179[0:Res:356.1,8898.0] ||  -> subclass(intersection(u,symmetric_difference(v,singleton(v))),w) member(not_subclass_element(intersection(u,symmetric_difference(v,singleton(v))),w),successor(v))*.
% 299.85/300.44  41050[0:Res:366.1,8834.0] ||  -> subclass(intersection(symmetric_difference(u,inverse(u)),v),w) member(not_subclass_element(intersection(symmetric_difference(u,inverse(u)),v),w),symmetrization_of(u))*.
% 299.85/300.44  41159[0:Res:366.1,8898.0] ||  -> subclass(intersection(symmetric_difference(u,singleton(u)),v),w) member(not_subclass_element(intersection(symmetric_difference(u,singleton(u)),v),w),successor(u))*.
% 299.85/300.44  20555[0:Res:3.1,588.0] || member(not_subclass_element(intersection(complement(u),complement(v)),w),union(u,v))* -> subclass(intersection(complement(u),complement(v)),w).
% 299.85/300.44  8158[0:Res:943.1,338.0] || member(not_subclass_element(complement(complement(intersection(u,v))),w),symmetric_difference(u,v))* -> subclass(complement(complement(intersection(u,v))),w).
% 299.85/300.44  114807[0:Res:356.1,776.0] || subclass(domain_of(u),v) -> subclass(intersection(w,cantor(u)),x) member(not_subclass_element(intersection(w,cantor(u)),x),v)*.
% 299.85/300.44  47913[0:Res:356.1,8165.1] || member(not_subclass_element(intersection(u,intersection(v,w)),x),symmetric_difference(v,w))* -> subclass(intersection(u,intersection(v,w)),x).
% 299.85/300.44  47891[0:Res:366.1,8165.1] || member(not_subclass_element(intersection(intersection(u,v),w),x),symmetric_difference(u,v))* -> subclass(intersection(intersection(u,v),w),x).
% 299.85/300.44  114788[0:Res:366.1,776.0] || subclass(domain_of(u),v) -> subclass(intersection(cantor(u),w),x) member(not_subclass_element(intersection(cantor(u),w),x),v)*.
% 299.85/300.44  118178[0:Rew:29.0,118080.1] || member(not_subclass_element(cross_product(u,v),restrict(w,u,v)),w)* -> subclass(cross_product(u,v),restrict(w,u,v)).
% 299.85/300.44  51690[0:SpR:123.0,20366.2] || member(u,universal_class) subclass(rest_relation,rest_of(restrict(v,w,singleton(x))))* -> member(u,segment(v,w,x))*.
% 299.85/300.44  28268[5:MRR:28248.4,5188.0] || member(u,universal_class) member(v,cross_product(singleton(u),universal_class))* member(v,w)* -> member(u,domain_of(w))*.
% 299.85/300.44  20352[0:Res:780.2,595.0] || member(u,universal_class) subclass(rest_relation,restrict(v,w,x))* -> member(ordered_pair(u,rest_of(u)),cross_product(w,x))*.
% 299.85/300.44  3581[0:Res:133.1,729.1] inductive(domain_of(restrict(u,v,omega))) || section(u,omega,v) -> equal(domain_of(restrict(u,v,omega)),omega)**.
% 299.85/300.44  86507[0:Res:45819.1,2609.2] || subclass(intersection(u,v),cantor(w))* member(x,v)* member(x,u)* -> member(x,domain_of(w))*.
% 299.85/300.44  9152[0:Res:9004.0,8.0] || subclass(symmetrization_of(u),symmetric_difference(complement(u),complement(inverse(u))))* -> equal(symmetric_difference(complement(u),complement(inverse(u))),symmetrization_of(u)).
% 299.85/300.44  8819[0:SpR:931.0,24.2] || member(u,symmetrization_of(v)) member(u,complement(intersection(v,inverse(v))))* -> member(u,symmetric_difference(v,inverse(v))).
% 299.85/300.44  86378[0:SpR:27.0,86316.0] ||  -> subclass(complement(symmetrization_of(intersection(complement(u),complement(v)))),intersection(union(u,v),complement(inverse(intersection(complement(u),complement(v))))))*.
% 299.85/300.44  20889[0:SpR:580.0,114.0] ||  -> equal(complement(intersection(union(u,v),complement(inverse(intersection(complement(u),complement(v)))))),symmetrization_of(intersection(complement(u),complement(v))))**.
% 299.85/300.44  146127[5:SpR:123.0,146067.0] ||  -> subclass(symmetric_difference(segment(u,v,w),cantor(restrict(u,v,singleton(w)))),complement(cantor(restrict(u,v,singleton(w)))))*.
% 299.85/300.44  146134[5:Res:146067.0,8.0] || subclass(complement(cantor(u)),symmetric_difference(domain_of(u),cantor(u)))* -> equal(symmetric_difference(domain_of(u),cantor(u)),complement(cantor(u))).
% 299.85/300.44  146525[5:Res:146436.1,3335.2] || equal(inverse(u),universal_class) member(v,w)* member(x,y)* -> member(ordered_pair(x,v),inverse(u))*.
% 299.85/300.44  150228[5:Res:144786.1,2599.1] || equal(symmetric_difference(universal_class,intersection(u,v)),universal_class)** member(omega,union(u,v)) -> member(omega,symmetric_difference(u,v)).
% 299.85/300.44  163513[5:Res:162500.1,3335.2] || equal(complement(u),universal_class) member(v,w)* member(x,y)* -> member(ordered_pair(x,v),complement(u))*.
% 299.85/300.44  163646[5:Res:163531.1,3335.2] || equal(power_class(u),universal_class) member(v,w)* member(x,y)* -> member(ordered_pair(x,v),power_class(u))*.
% 299.85/300.44  29271[5:Rew:938.0,29227.0] ||  -> equal(symmetric_difference(u,cross_product(v,w)),identity_relation) member(regular(symmetric_difference(u,cross_product(v,w))),complement(restrict(u,v,w)))*.
% 299.85/300.44  46828[5:Res:1013.1,5325.0] || section(u,singleton(v),w) -> equal(segment(u,w,v),identity_relation) equal(regular(segment(u,w,v)),v)**.
% 299.85/300.44  29424[5:Rew:939.0,29377.0] ||  -> equal(symmetric_difference(cross_product(u,v),w),identity_relation) member(regular(symmetric_difference(cross_product(u,v),w)),complement(restrict(w,u,v)))*.
% 299.85/300.44  31929[5:Res:3366.1,5422.0] || member(cross_product(cross_product(universal_class,universal_class),universal_class),universal_class)* -> equal(rotate(u),identity_relation) member(least(element_relation,rotate(u)),rotate(u))*.
% 299.85/300.44  32180[5:Res:3366.1,5421.0] || member(cross_product(cross_product(universal_class,universal_class),universal_class),universal_class)* -> equal(flip(u),identity_relation) member(least(element_relation,flip(u)),flip(u))*.
% 299.85/300.44  117673[5:Res:3364.1,5320.0] || member(intersection(u,v),universal_class) -> equal(sum_class(intersection(u,v)),identity_relation) member(regular(sum_class(intersection(u,v))),v)*.
% 299.85/300.44  117872[5:Res:3364.1,5321.0] || member(intersection(u,v),universal_class) -> equal(sum_class(intersection(u,v)),identity_relation) member(regular(sum_class(intersection(u,v))),u)*.
% 299.85/300.44  117890[5:SpR:598.0,5343.1] ||  -> equal(restrict(cross_product(u,v),w,x),identity_relation) member(regular(restrict(cross_product(w,x),u,v)),cross_product(u,v))*.
% 299.85/300.44  117928[5:Res:5343.1,596.0] ||  -> equal(restrict(restrict(u,v,w),x,y),identity_relation) member(regular(restrict(restrict(u,v,w),x,y)),u)*.
% 299.85/300.44  117929[5:Res:5343.1,944.0] ||  -> equal(restrict(symmetric_difference(u,v),w,x),identity_relation) member(regular(restrict(symmetric_difference(u,v),w,x)),union(u,v))*.
% 299.85/300.44  9103[5:SpR:598.0,5243.2] || member(u,universal_class) -> member(u,domain_of(cross_product(v,w))) equal(restrict(cross_product(singleton(u),universal_class),v,w),identity_relation)**.
% 299.85/300.44  8398[5:Res:5295.1,595.0] ||  -> equal(intersection(u,restrict(v,w,x)),identity_relation) member(regular(intersection(u,restrict(v,w,x))),cross_product(w,x))*.
% 299.85/300.44  8390[5:Res:5294.1,595.0] ||  -> equal(intersection(restrict(u,v,w),x),identity_relation) member(regular(intersection(restrict(u,v,w),x)),cross_product(v,w))*.
% 299.85/300.44  39409[5:Res:29628.0,595.0] ||  -> equal(complement(complement(restrict(u,v,w))),identity_relation) member(regular(complement(complement(restrict(u,v,w)))),cross_product(v,w))*.
% 299.85/300.44  123086[5:Rew:119684.0,27901.2] || member(u,universal_class) -> member(u,intersection(complement(v),union(w,identity_relation)))* member(u,union(v,symmetric_difference(universal_class,w))).
% 299.85/300.44  116727[5:MRR:116703.0,29542.1] ||  -> member(regular(regular(union(u,v))),complement(u))* equal(regular(union(u,v)),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.44  117114[5:MRR:117082.0,29542.1] ||  -> member(regular(regular(union(u,v))),complement(v))* equal(regular(union(u,v)),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.44  120275[5:SpR:118447.0,941.0] ||  -> equal(intersection(union(u,symmetric_difference(universal_class,v)),union(complement(u),union(v,identity_relation))),symmetric_difference(complement(u),union(v,identity_relation)))**.
% 299.85/300.44  123090[5:Rew:119684.0,52335.1] || member(u,universal_class) subclass(rest_relation,symmetric_difference(universal_class,v)) member(ordered_pair(u,rest_of(u)),union(v,identity_relation))* -> .
% 299.85/300.44  123149[5:Rew:119684.0,52331.1,119684.0,52331.0] || member(not_subclass_element(intersection(u,symmetric_difference(universal_class,v)),w),union(v,identity_relation))* -> subclass(intersection(u,symmetric_difference(universal_class,v)),w).
% 299.85/300.44  123088[5:Rew:119684.0,27913.2] || member(u,universal_class) -> member(u,intersection(union(v,identity_relation),complement(w)))* member(u,union(symmetric_difference(universal_class,v),w)).
% 299.85/300.44  25665[5:Res:780.2,5405.0] || member(u,universal_class) subclass(rest_relation,regular(v)) member(ordered_pair(u,rest_of(u)),v)* -> equal(v,identity_relation).
% 299.85/300.44  118461[5:Rew:118446.0,113994.1] ||  -> equal(intersection(singleton(u),v),identity_relation) equal(symmetric_difference(intersection(singleton(u),v),u),union(intersection(singleton(u),v),u))**.
% 299.85/300.44  118460[5:Rew:118446.0,114217.1] ||  -> equal(intersection(u,singleton(v)),identity_relation) equal(symmetric_difference(intersection(u,singleton(v)),v),union(intersection(u,singleton(v)),v))**.
% 299.85/300.44  5314[5:Rew:5180.0,5130.1] || subclass(u,cross_product(v,w))* -> equal(u,identity_relation) equal(ordered_pair(first(regular(u)),second(regular(u))),regular(u))**.
% 299.85/300.44  117854[5:SpL:938.0,5321.0] || subclass(u,symmetric_difference(v,cross_product(w,x))) -> equal(u,identity_relation) member(regular(u),complement(restrict(v,w,x)))*.
% 299.85/300.44  117855[5:SpL:939.0,5321.0] || subclass(u,symmetric_difference(cross_product(v,w),x)) -> equal(u,identity_relation) member(regular(u),complement(restrict(x,v,w)))*.
% 299.85/300.44  117933[5:Res:5343.1,5405.0] || member(regular(restrict(regular(u),v,w)),u)* -> equal(restrict(regular(u),v,w),identity_relation) equal(u,identity_relation).
% 299.85/300.44  26487[5:SpR:5749.1,5246.0] ||  -> equal(cross_product(singleton(u),v),identity_relation) equal(range__dfg(regular(cross_product(singleton(u),v)),u,v),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.85/300.44  120259[5:SpR:118447.0,941.0] ||  -> equal(intersection(union(symmetric_difference(universal_class,u),v),union(union(u,identity_relation),complement(v))),symmetric_difference(union(u,identity_relation),complement(v)))**.
% 299.85/300.44  123152[5:Rew:119684.0,52306.1,119684.0,52306.0] || member(not_subclass_element(intersection(symmetric_difference(universal_class,u),v),w),union(u,identity_relation))* -> subclass(intersection(symmetric_difference(universal_class,u),v),w).
% 299.85/300.44  35136[5:SpL:930.0,6464.0] || subclass(domain_relation,symmetric_difference(complement(intersection(u,v)),union(u,v)))* -> member(ordered_pair(identity_relation,identity_relation),complement(symmetric_difference(u,v))).
% 299.85/300.44  39202[5:SpL:930.0,28860.0] || equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),domain_relation)** -> member(ordered_pair(identity_relation,identity_relation),complement(symmetric_difference(u,v))).
% 299.85/300.44  6468[5:Res:5615.1,18.0] || subclass(domain_relation,cross_product(u,v))* -> equal(ordered_pair(first(ordered_pair(identity_relation,identity_relation)),second(ordered_pair(identity_relation,identity_relation))),ordered_pair(identity_relation,identity_relation))**.
% 299.85/300.44  27108[5:Res:24.2,6463.1] || member(ordered_pair(identity_relation,identity_relation),u) member(ordered_pair(identity_relation,identity_relation),v) subclass(domain_relation,complement(intersection(v,u)))* -> .
% 299.85/300.44  125681[7:Res:125624.1,2599.1] || equal(complement(intersection(u,v)),singleton(identity_relation)) member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v))*.
% 299.85/300.44  34167[0:Res:3654.2,20.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,element_relation) -> member(u,ordered_pair(v,compose(u,v)))*.
% 299.85/300.44  47651[5:Res:29726.0,22549.1] || member(not_subclass_element(complement(complement(complement(compose(element_relation,universal_class)))),u),element_relation)* -> subclass(complement(complement(complement(compose(element_relation,universal_class)))),u).
% 299.85/300.44  27430[5:Res:356.1,22549.1] || member(not_subclass_element(intersection(u,complement(compose(element_relation,universal_class))),v),element_relation)* -> subclass(intersection(u,complement(compose(element_relation,universal_class))),v).
% 299.85/300.44  27415[5:Res:366.1,22549.1] || member(not_subclass_element(intersection(complement(compose(element_relation,universal_class)),u),v),element_relation)* -> subclass(intersection(complement(compose(element_relation,universal_class)),u),v).
% 299.85/300.44  20574[0:Res:765.2,588.0] || member(u,universal_class) subclass(universal_class,intersection(complement(v),complement(w)))* member(sum_class(u),union(v,w))* -> .
% 299.85/300.44  146468[5:Res:146432.1,3335.2] || equal(sum_class(u),universal_class) member(v,w)* member(x,y)* -> member(ordered_pair(x,v),sum_class(u))*.
% 299.85/300.44  179925[5:SpR:145868.1,6420.1] || subclass(inverse(u),u)* asymmetric(u,singleton(v)) -> equal(domain__dfg(inverse(u),singleton(v),v),single_valued3(identity_relation))**.
% 299.85/300.44  179995[5:Res:124837.1,2599.1] || equal(symmetric_difference(universal_class,intersection(u,v)),universal_class)** member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v)).
% 299.85/300.44  5345[5:Rew:5180.0,864.1] || member(cantor(inverse(u)),universal_class) -> equal(cantor(inverse(u)),identity_relation) member(apply(choice,cantor(inverse(u))),range_of(u))*.
% 299.85/300.44  79144[0:Res:46090.0,8.0] || subclass(range_of(u),restrict(cantor(inverse(u)),v,w))* -> equal(restrict(cantor(inverse(u)),v,w),range_of(u)).
% 299.85/300.44  87308[0:Res:86994.1,3691.0] || equal(cantor(inverse(u)),v)* well_ordering(w,range_of(u))* -> subclass(v,x)* member(least(w,v),v)*.
% 299.85/300.44  87312[5:Res:86994.1,5259.0] || equal(cantor(inverse(u)),v)* well_ordering(w,range_of(u))* -> equal(segment(w,v,least(w,v)),identity_relation)**.
% 299.85/300.44  87311[5:Res:86994.1,5215.0] || equal(cantor(inverse(u)),v)* well_ordering(w,range_of(u))* -> equal(v,identity_relation) member(least(w,v),v)*.
% 299.85/300.44  49011[3:Res:28061.2,610.0] inductive(cantor(inverse(u))) || well_ordering(v,cantor(inverse(u))) -> member(least(v,cantor(inverse(u))),range_of(u))*.
% 299.85/300.44  28075[5:Res:8347.0,3692.1] inductive(cantor(inverse(u))) || well_ordering(v,range_of(u)) -> member(least(v,cantor(inverse(u))),cantor(inverse(u)))*.
% 299.85/300.44  150352[5:Res:150282.1,3335.2] || equal(range_of(u),universal_class) member(v,w)* member(x,y)* -> member(ordered_pair(x,v),range_of(u))*.
% 299.85/300.44  22948[5:Rew:22446.0,22636.1] || subclass(complement(cantor(inverse(u))),symmetric_difference(range_of(u),universal_class))* -> equal(symmetric_difference(range_of(u),universal_class),complement(cantor(inverse(u)))).
% 299.85/300.44  27632[5:Res:5329.3,610.0] || member(u,universal_class) subclass(u,cantor(inverse(v))) -> equal(u,identity_relation) member(apply(choice,u),range_of(v))*.
% 299.85/300.44  48815[5:Res:5403.2,610.0] || well_ordering(u,cantor(inverse(v))) -> equal(cantor(inverse(v)),identity_relation) member(least(u,cantor(inverse(v))),range_of(v))*.
% 299.85/300.44  8405[5:Res:8347.0,5215.0] || well_ordering(u,range_of(v)) -> equal(cantor(inverse(v)),identity_relation) member(least(u,cantor(inverse(v))),cantor(inverse(v)))*.
% 299.85/300.44  87007[0:Res:130.2,79033.0] || connected(u,cantor(inverse(v))) -> well_ordering(u,cantor(inverse(v))) subclass(not_well_ordering(u,cantor(inverse(v))),range_of(v))*.
% 299.85/300.44  87309[3:Res:86994.1,3692.1] inductive(u) || equal(cantor(inverse(v)),u)* well_ordering(w,range_of(v))* -> member(least(w,u),u)*.
% 299.85/300.44  27465[0:Res:827.3,610.0] function(u) || member(v,universal_class) subclass(universal_class,cantor(inverse(w))) -> member(image(u,v),range_of(w))*.
% 299.85/300.44  115092[5:SpR:5243.2,9093.0] || member(u,universal_class) -> member(u,domain_of(cross_product(v,universal_class))) equal(image(cross_product(singleton(u),universal_class),v),range_of(identity_relation))**.
% 299.85/300.44  26610[5:Rew:40.0,26597.1] || member(single_valued1(u),universal_class) -> member(single_valued1(u),range_of(u)) equal(domain__dfg(u,range_of(identity_relation),single_valued2(u)),single_valued3(u))**.
% 299.85/300.44  35495[5:Rew:5309.0,35485.1] || member(ordered_pair(u,not_subclass_element(v,image(w,range_of(identity_relation)))),compose(w,identity_relation))* -> subclass(v,image(w,range_of(identity_relation))).
% 299.85/300.44  121473[5:Res:120735.0,8.0] || subclass(image(universal_class,u),cantor(inverse(cross_product(u,universal_class))))* -> equal(cantor(inverse(cross_product(u,universal_class))),image(universal_class,u)).
% 299.85/300.44  33647[5:Res:5427.3,29469.0] inductive(u) || well_ordering(v,u) -> equal(image(successor_relation,u),identity_relation) member(least(v,image(successor_relation,u)),universal_class)*.
% 299.85/300.44  27805[5:SpR:579.0,24559.0] ||  -> subclass(symmetric_difference(union(image(element_relation,union(u,v)),identity_relation),universal_class),complement(symmetric_difference(power_class(intersection(complement(u),complement(v))),universal_class)))*.
% 299.85/300.44  8657[0:SpR:579.0,26.2] || member(u,universal_class) -> member(u,image(element_relation,union(v,w))) member(u,power_class(intersection(complement(v),complement(w))))*.
% 299.85/300.44  115101[0:SpL:9093.0,40725.0] || member(inverse(restrict(cross_product(u,universal_class),v,w)),image(cross_product(v,w),u))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.44  7433[0:SpR:43.0,557.1] || member(inverse(restrict(u,v,universal_class)),universal_class) -> member(ordered_pair(inverse(restrict(u,v,universal_class)),image(u,v)),domain_relation)*.
% 299.85/300.44  153467[0:Res:827.3,119626.0] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(universal_class,w)) -> member(image(u,v),complement(w))*.
% 299.85/300.44  27463[0:Res:827.3,596.0] function(u) || member(v,universal_class) subclass(universal_class,restrict(w,x,y))* -> member(image(u,v),w)*.
% 299.85/300.44  153525[0:Res:827.3,119659.0] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(universal_class,w)) member(image(u,v),w)* -> .
% 299.85/300.44  41327[5:SpR:6549.2,104.0] function(u) function(v) ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued1(v))),single_valued2(u)),single_valued3(u))**.
% 299.85/300.44  41349[5:SpR:6572.2,104.0] single_valued_class(u) single_valued_class(v) ||  -> equal(domain__dfg(u,image(inverse(u),singleton(single_valued1(v))),single_valued2(u)),single_valued3(u))**.
% 299.85/300.44  26288[5:SpR:5251.1,3389.1] || member(image(choice,singleton(singleton(u))),universal_class)* -> equal(singleton(u),identity_relation) subclass(u,image(choice,singleton(singleton(u))))*.
% 299.85/300.44  3629[0:Res:59.1,816.1] || member(ordered_pair(u,singleton(v)),compose(w,x))* subclass(universal_class,complement(image(w,image(x,singleton(u)))))* -> .
% 299.85/300.44  111350[0:Res:59.1,111279.0] || member(ordered_pair(u,singleton(singleton(v))),compose(w,x))* well_ordering(universal_class,image(w,image(x,singleton(u)))) -> .
% 299.85/300.44  178854[5:SpR:145868.1,122857.0] || subclass(image(successor_relation,universal_class),singleton(identity_relation)) -> equal(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),symmetric_difference(universal_class,image(successor_relation,universal_class)))**.
% 299.85/300.44  179850[5:Res:5329.3,119626.0] || member(u,universal_class) subclass(u,symmetric_difference(universal_class,v)) -> equal(u,identity_relation) member(apply(choice,u),complement(v))*.
% 299.85/300.44  123933[5:Res:5329.3,158.0] || member(u,universal_class) subclass(u,omega) -> equal(u,identity_relation) equal(integer_of(apply(choice,u)),apply(choice,u))**.
% 299.85/300.44  40918[5:Res:5329.3,40810.0] || member(u,universal_class) subclass(u,rest_of(apply(choice,u)))* subclass(universal_class,complement(element_relation)) -> equal(u,identity_relation).
% 299.85/300.44  27630[5:Res:5329.3,596.0] || member(u,universal_class) subclass(u,restrict(v,w,x))* -> equal(u,identity_relation) member(apply(choice,u),v).
% 299.85/300.44  179849[5:Res:5329.3,119659.0] || member(u,universal_class) subclass(u,symmetric_difference(universal_class,v)) member(apply(choice,u),v)* -> equal(u,identity_relation).
% 299.85/300.44  166025[5:Res:5216.2,119659.0] || member(symmetric_difference(universal_class,u),universal_class) member(apply(choice,symmetric_difference(universal_class,u)),u)* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.85/300.44  124880[5:Rew:119684.0,124817.1,119684.0,124817.0] || member(symmetric_difference(universal_class,u),universal_class) -> equal(symmetric_difference(universal_class,u),identity_relation) member(apply(choice,symmetric_difference(universal_class,u)),complement(u))*.
% 299.85/300.44  93724[5:SpL:5337.2,86932.0] || member(cross_product(u,v),universal_class) well_ordering(universal_class,apply(choice,cross_product(u,v)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  47804[5:SpL:5337.2,47782.0] || member(cross_product(u,v),universal_class) equal(apply(choice,cross_product(u,v)),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  47780[5:SpL:5337.2,47765.0] || member(cross_product(u,v),universal_class) subclass(apply(choice,cross_product(u,v)),identity_relation)* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  41084[5:Res:5404.2,8834.0] || well_ordering(u,universal_class) -> equal(symmetric_difference(v,inverse(v)),identity_relation) member(least(u,symmetric_difference(v,inverse(v))),symmetrization_of(v))*.
% 299.85/300.44  41193[5:Res:5404.2,8898.0] || well_ordering(u,universal_class) -> equal(symmetric_difference(v,singleton(v)),identity_relation) member(least(u,symmetric_difference(v,singleton(v))),successor(v))*.
% 299.85/300.44  114842[5:Res:5404.2,776.0] || well_ordering(u,universal_class) subclass(domain_of(v),w) -> equal(cantor(v),identity_relation) member(least(u,cantor(v)),w)*.
% 299.85/300.44  47926[5:Res:5404.2,8165.1] || well_ordering(u,universal_class) member(least(u,intersection(v,w)),symmetric_difference(v,w))* -> equal(intersection(v,w),identity_relation).
% 299.85/300.44  27440[5:Res:5404.2,22549.1] || well_ordering(u,universal_class) member(least(u,complement(compose(element_relation,universal_class))),element_relation)* -> equal(complement(compose(element_relation,universal_class)),identity_relation).
% 299.85/300.44  123150[5:Rew:119684.0,52345.2,119684.0,52345.1] || well_ordering(u,universal_class) member(least(u,symmetric_difference(universal_class,v)),union(v,identity_relation))* -> equal(symmetric_difference(universal_class,v),identity_relation).
% 299.85/300.44  46850[5:Res:28041.2,22549.1] inductive(complement(compose(element_relation,universal_class))) || well_ordering(u,universal_class) member(least(u,complement(compose(element_relation,universal_class))),element_relation)* -> .
% 299.85/300.44  5775[5:Rew:5180.0,5364.2] || well_ordering(u,omega) -> equal(integer_of(v),identity_relation) equal(singleton(v),identity_relation) member(least(u,singleton(v)),singleton(v))*.
% 299.85/300.44  167008[5:Res:162506.1,5215.0] || well_ordering(u,complement(v))* -> member(w,v)* equal(singleton(w),identity_relation) member(least(u,singleton(w)),singleton(w))*.
% 299.85/300.44  123735[5:Res:119596.0,5215.0] || well_ordering(u,complement(v)) -> equal(symmetric_difference(universal_class,v),identity_relation) member(least(u,symmetric_difference(universal_class,v)),symmetric_difference(universal_class,v))*.
% 299.85/300.44  8616[5:Res:8337.0,5259.0] || well_ordering(u,complement(intersection(v,w))) -> equal(segment(u,symmetric_difference(v,w),least(u,symmetric_difference(v,w))),identity_relation)**.
% 299.85/300.44  45895[5:Res:45823.0,5259.0] || well_ordering(u,domain_of(v)) -> equal(segment(u,intersection(cantor(v),w),least(u,intersection(cantor(v),w))),identity_relation)**.
% 299.85/300.44  45984[5:Res:45825.0,5259.0] || well_ordering(u,domain_of(v)) -> equal(segment(u,intersection(w,cantor(v)),least(u,intersection(w,cantor(v)))),identity_relation)**.
% 299.85/300.44  47985[5:Res:47679.0,5259.0] || well_ordering(u,domain_of(v)) -> equal(segment(u,complement(complement(cantor(v))),least(u,complement(complement(cantor(v))))),identity_relation)**.
% 299.85/300.44  8413[5:Res:8278.0,5259.0] || well_ordering(u,symmetrization_of(v)) -> equal(segment(u,symmetric_difference(v,inverse(v)),least(u,symmetric_difference(v,inverse(v)))),identity_relation)**.
% 299.85/300.44  8418[5:Res:8279.0,5259.0] || well_ordering(u,successor(v)) -> equal(segment(u,symmetric_difference(v,singleton(v)),least(u,symmetric_difference(v,singleton(v)))),identity_relation)**.
% 299.85/300.44  48825[5:Res:5403.2,5405.0] || well_ordering(u,regular(v)) member(least(u,regular(v)),v)* -> equal(regular(v),identity_relation) equal(v,identity_relation).
% 299.85/300.44  181380[5:SpR:5453.2,160697.0] || member(u,universal_class) well_ordering(universal_class,u) -> subclass(cantor(cross_product(sum_class(u),singleton(least(universal_class,sum_class(u))))),identity_relation)*.
% 299.85/300.44  36485[5:SpR:54.0,5461.2] || section(element_relation,u,universal_class) well_ordering(v,u) -> equal(segment(v,sum_class(u),least(v,sum_class(u))),identity_relation)**.
% 299.85/300.44  28060[4:Res:3364.1,3692.1] inductive(sum_class(u)) || member(u,universal_class) well_ordering(v,u) -> member(least(v,sum_class(u)),sum_class(u))*.
% 299.85/300.44  181677[5:SpR:5450.1,160697.0] || well_ordering(universal_class,cross_product(universal_class,universal_class)) -> subclass(cantor(cross_product(compose(u,v),singleton(least(universal_class,compose(u,v))))),identity_relation)*.
% 299.85/300.44  181190[5:SpR:5452.1,160697.0] || well_ordering(universal_class,cross_product(cross_product(universal_class,universal_class),universal_class)) -> subclass(cantor(cross_product(rotate(u),singleton(least(universal_class,rotate(u))))),identity_relation)*.
% 299.85/300.44  181200[5:SpR:5451.1,160697.0] || well_ordering(universal_class,cross_product(cross_product(universal_class,universal_class),universal_class)) -> subclass(cantor(cross_product(flip(u),singleton(least(universal_class,flip(u))))),identity_relation)*.
% 299.85/300.44  123733[3:Res:119596.0,3692.1] inductive(symmetric_difference(universal_class,u)) || well_ordering(v,complement(u)) -> member(least(v,symmetric_difference(universal_class,u)),symmetric_difference(universal_class,u))*.
% 299.85/300.44  35403[0:Res:348.0,3704.1] || member(u,universal_class)* well_ordering(v,complement(w)) -> member(u,w)* member(least(v,complement(w)),complement(w))*.
% 299.85/300.44  162708[3:Res:162506.1,3692.1] inductive(singleton(u)) || well_ordering(v,complement(w))* -> member(u,w)* member(least(v,singleton(u)),singleton(u))*.
% 299.85/300.44  28055[3:Res:33.0,3692.1] inductive(rotate(u)) || well_ordering(v,cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(least(v,rotate(u)),rotate(u))*.
% 299.85/300.44  28054[3:Res:36.0,3692.1] inductive(flip(u)) || well_ordering(v,cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(least(v,flip(u)),flip(u))*.
% 299.85/300.44  114844[3:Res:28041.2,776.0] inductive(cantor(u)) || well_ordering(v,universal_class) subclass(domain_of(u),w) -> member(least(v,cantor(u)),w)*.
% 299.85/300.44  123165[5:Rew:122359.0,123164.2] inductive(intersection(universal_class,complement(u))) || well_ordering(v,universal_class) member(least(v,complement(u)),complement(complement(u)))* -> .
% 299.85/300.44  46862[3:Res:28041.2,8834.0] inductive(symmetric_difference(u,inverse(u))) || well_ordering(v,universal_class) -> member(least(v,symmetric_difference(u,inverse(u))),symmetrization_of(u))*.
% 299.85/300.44  46863[3:Res:28041.2,8898.0] inductive(symmetric_difference(u,singleton(u))) || well_ordering(v,universal_class) -> member(least(v,symmetric_difference(u,singleton(u))),successor(u))*.
% 299.85/300.44  35559[0:Res:348.0,3700.1] || member(u,universal_class) well_ordering(v,unordered_pair(w,u)) -> member(least(v,unordered_pair(w,u)),unordered_pair(w,u))*.
% 299.85/300.44  36051[0:Res:348.0,3701.1] || member(u,universal_class) well_ordering(v,unordered_pair(u,w)) -> member(least(v,unordered_pair(u,w)),unordered_pair(u,w))*.
% 299.85/300.44  49021[5:Res:28061.2,5405.0] inductive(regular(u)) || well_ordering(v,regular(u)) member(least(v,regular(u)),u)* -> equal(u,identity_relation).
% 299.85/300.44  28070[3:Res:4733.1,3692.1] inductive(singleton(u)) || member(u,v)* well_ordering(w,v)* -> member(least(w,singleton(u)),singleton(u))*.
% 299.85/300.44  117909[5:Res:5343.1,126.0] || subclass(u,v)* well_ordering(w,v)* -> equal(restrict(u,x,y),identity_relation)** member(least(w,u),u)*.
% 299.85/300.44  5386[5:Rew:5180.0,4748.2] || member(u,v)* well_ordering(w,v)* -> equal(singleton(u),identity_relation) member(least(w,singleton(u)),singleton(u))*.
% 299.85/300.44  167401[7:Res:167376.1,126.0] || subclass(complement(u),v)* well_ordering(w,v)* -> member(identity_relation,u) member(least(w,complement(u)),complement(u))*.
% 299.85/300.44  47929[3:Res:28041.2,8165.1] inductive(intersection(u,v)) || well_ordering(w,universal_class) member(least(w,intersection(u,v)),symmetric_difference(u,v))* -> .
% 299.85/300.44  3715[0:Res:646.0,126.0] || subclass(ordered_pair(u,v),w)* well_ordering(x,w)* -> member(least(x,ordered_pair(u,v)),ordered_pair(u,v))*.
% 299.85/300.44  47745[0:Res:783.1,126.0] || subclass(ordered_pair(u,v),w)* subclass(w,x)* well_ordering(y,x)* -> member(least(y,w),w)*.
% 299.85/300.44  183519[5:Res:5201.1,5490.0] inductive(u) || subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,u))),identity_relation)**.
% 299.85/300.44  117884[5:MRR:117879.2,5247.1] || connected(u,intersection(v,w)) -> well_ordering(u,intersection(v,w)) member(regular(not_well_ordering(u,intersection(v,w))),v)*.
% 299.85/300.44  117685[5:MRR:117680.2,5247.1] || connected(u,intersection(v,w)) -> well_ordering(u,intersection(v,w)) member(regular(not_well_ordering(u,intersection(v,w))),w)*.
% 299.85/300.44  189292[7:Res:2603.2,125680.1] || member(identity_relation,cross_product(u,v)) member(identity_relation,w) equal(complement(restrict(w,u,v)),singleton(identity_relation))** -> .
% 299.85/300.44  189295[7:Res:59.1,125680.1] || member(ordered_pair(u,identity_relation),compose(v,w)) equal(complement(image(v,image(w,singleton(u)))),singleton(identity_relation))** -> .
% 299.85/300.44  189633[7:Rew:189431.0,179197.1] || member(u,intersection(complement(v),power_class(complement(singleton(identity_relation)))))* member(u,union(v,image(element_relation,singleton(identity_relation)))) -> .
% 299.85/300.44  189637[7:Rew:189431.0,179191.1] || member(u,intersection(power_class(complement(singleton(identity_relation))),complement(v)))* member(u,union(image(element_relation,singleton(identity_relation)),v)) -> .
% 299.85/300.44  191290[14:Res:178692.1,2599.1] || equal(symmetric_difference(universal_class,intersection(u,v)),omega)** member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v)).
% 299.85/300.44  191967[15:Res:191733.0,126.0] || subclass(singleton(singleton(identity_relation)),u)* well_ordering(v,u)* -> member(least(v,singleton(singleton(identity_relation))),singleton(singleton(identity_relation)))*.
% 299.85/300.44  192079[15:SpR:191735.0,144.2] || member(identity_relation,domain_of(u)) equal(restrict(u,identity_relation,universal_class),range_of(identity_relation)) -> member(singleton(singleton(identity_relation)),rest_of(u))*.
% 299.85/300.44  192292[15:Res:191817.0,8.0] || subclass(successor(range_of(identity_relation)),symmetric_difference(complement(range_of(identity_relation)),universal_class))* -> equal(symmetric_difference(complement(range_of(identity_relation)),universal_class),successor(range_of(identity_relation))).
% 299.85/300.44  192297[15:Res:191820.0,8.0] || subclass(symmetric_difference(universal_class,range_of(identity_relation)),complement(successor(range_of(identity_relation))))* -> equal(symmetric_difference(universal_class,range_of(identity_relation)),complement(successor(range_of(identity_relation)))).
% 299.85/300.44  192687[16:Res:192686.0,126.0] || subclass(successor(range_of(identity_relation)),u)* well_ordering(v,u)* -> member(least(v,successor(range_of(identity_relation))),successor(range_of(identity_relation)))*.
% 299.85/300.44  192770[17:MRR:192753.2,5188.0] || member(singleton(u),domain_of(v)) member(ordered_pair(v,singleton(singleton(singleton(u)))),cross_product(universal_class,cross_product(universal_class,universal_class)))* -> .
% 299.85/300.44  194145[15:Res:192110.1,126.0] || equal(u,singleton(singleton(identity_relation))) subclass(u,v)* well_ordering(w,v)* -> member(least(w,u),u)*.
% 299.85/300.44  195207[17:Rew:195144.1,149222.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(complement(v),complement(w))) -> member(ordered_pair(u,identity_relation),union(v,w))*.
% 299.85/300.44  198208[17:Res:195448.0,5490.0] || subclass(domain_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(singleton(singleton(singleton(identity_relation))),least(omega,domain_relation))),identity_relation)**.
% 299.85/300.44  198650[5:Obv:198637.1] || subclass(unordered_pair(u,v),complement(singleton(v)))* -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.44  198651[5:Obv:198636.1] || subclass(unordered_pair(u,v),complement(singleton(u)))* -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.44  199265[15:Res:2603.2,199206.0] || member(singleton(identity_relation),cross_product(u,v)) member(singleton(identity_relation),w) well_ordering(universal_class,restrict(w,u,v))* -> .
% 299.85/300.44  200104[5:Obv:200101.1] || equal(unordered_pair(u,v),complement(singleton(v))) -> equal(regular(unordered_pair(u,v)),u)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.44  200105[5:Obv:200100.1] || equal(unordered_pair(u,v),complement(singleton(u))) -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation).
% 299.85/300.44  200794[5:SpR:200704.1,104.0] || equal(single_valued1(u),universal_class) -> inductive(single_valued1(u)) equal(domain__dfg(u,image(inverse(u),identity_relation),single_valued2(u)),single_valued3(u))**.
% 299.85/300.44  200960[5:Rew:200704.1,200759.1] || equal(u,universal_class) member(image(v,identity_relation),universal_class) -> inductive(u) subclass(apply(v,u),image(v,identity_relation))*.
% 299.85/300.44  200961[5:Rew:200704.1,200755.1] || equal(u,universal_class) asymmetric(v,identity_relation) -> inductive(u) equal(segment(intersection(v,inverse(v)),identity_relation,u),identity_relation)**.
% 299.85/300.44  201362[0:SpR:27.0,146221.1] || subclass(intersection(complement(u),complement(v)),w) -> subclass(symmetric_difference(w,intersection(complement(u),complement(v))),union(u,v))*.
% 299.85/300.44  202197[14:Rew:202185.1,125912.3] || subclass(omega,ordered_pair(u,v))* -> equal(integer_of(w),identity_relation)** equal(w,unordered_pair(u,singleton(v)))* equal(w,identity_relation).
% 299.85/300.44  204034[5:Res:203246.1,2599.1] || equal(complement(complement(intersection(u,v))),identity_relation)** member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v)).
% 299.85/300.44  204105[5:Res:203247.1,2599.1] || equal(complement(complement(intersection(u,v))),identity_relation)** member(omega,union(u,v)) -> member(omega,symmetric_difference(u,v)).
% 299.85/300.44  204363[5:Res:3892.3,203257.1] || member(u,universal_class)* member(v,universal_class) equal(compose(w,v),u)* equal(compose_class(w),identity_relation) -> .
% 299.85/300.44  204778[5:Res:3892.3,204710.1] || member(u,universal_class)* member(v,universal_class) equal(compose(w,v),u)* subclass(compose_class(w),identity_relation)* -> .
% 299.85/300.44  206398[5:Res:201827.1,1043.0] || subclass(complement(ordered_pair(u,v)),identity_relation)* -> equal(singleton(w),unordered_pair(u,singleton(v)))* equal(singleton(w),singleton(u)).
% 299.85/300.44  206449[5:EmS:5373.0,5373.1,8479.2,200204.1] single_valued_class(successor(u)) || equal(successor(u),identity_relation)** equal(successor(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.44  206469[5:EmS:5373.0,5373.1,8479.2,200205.1] single_valued_class(symmetrization_of(u)) || equal(symmetrization_of(u),identity_relation)** equal(symmetrization_of(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.44  207962[11:Res:207942.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(regular(complement(power_class(identity_relation))),least(omega,universal_class))),identity_relation)**.
% 299.85/300.44  208144[10:Res:208126.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(regular(complement(power_class(universal_class))),least(omega,universal_class))),identity_relation)**.
% 299.85/300.44  209042[17:Rew:208959.1,205263.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,power_class(identity_relation))*.
% 299.85/300.44  209054[17:Rew:208959.1,195691.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,singleton(w))*.
% 299.85/300.44  209057[15:Rew:208959.1,154027.2] function(u) || equal(complement(range_of(u)),universal_class) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,w)*.
% 299.85/300.44  209086[15:Rew:208959.1,124985.2] function(u) || equal(rest_of(domain_of(v)),rest_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.44  209087[15:Rew:208959.1,126529.2] function(u) || equal(cantor(domain_of(v)),universal_class) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.44  209453[17:MRR:28438.3,209431.1] single_valued_class(sum_class(cross_product(universal_class,universal_class))) || well_ordering(element_relation,cross_product(universal_class,universal_class))* equal(sum_class(cross_product(universal_class,universal_class)),identity_relation) -> .
% 299.85/300.44  210059[17:Rew:209320.1,209799.1] function(u) || asymmetric(v,identity_relation) -> equal(range__dfg(intersection(v,inverse(v)),u,identity_relation),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.85/300.44  210274[15:SSi:210266.1,72.1] one_to_one(u) || subclass(universal_class,domain_of(domain_of(v)))* equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.44  210426[17:SpR:210378.1,59.1] one_to_one(u) || member(ordered_pair(inverse(u),v),compose(w,x))* -> member(v,image(w,image(x,identity_relation))).
% 299.85/300.44  179073[5:SpL:122494.0,588.0] || member(u,intersection(power_class(complement(inverse(identity_relation))),complement(v)))* member(u,union(image(element_relation,symmetrization_of(identity_relation)),v)) -> .
% 299.85/300.44  179079[5:SpL:122494.0,588.0] || member(u,intersection(complement(v),power_class(complement(inverse(identity_relation)))))* member(u,union(v,image(element_relation,symmetrization_of(identity_relation)))) -> .
% 299.85/300.44  207803[9:Res:207784.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(regular(complement(symmetrization_of(identity_relation))),least(omega,universal_class))),identity_relation)**.
% 299.85/300.44  168276[9:Res:168274.0,126.0] || subclass(complement(inverse(identity_relation)),u)* well_ordering(v,u)* -> member(least(v,complement(inverse(identity_relation))),complement(inverse(identity_relation)))*.
% 299.85/300.44  179797[5:SpR:145868.1,5473.2] || subclass(inverse(u),u)* asymmetric(u,v) subclass(compose(identity_relation,identity_relation),identity_relation)* -> transitive(inverse(u),v)*.
% 299.85/300.44  203208[16:MRR:39149.1,203206.0] || member(ordered_pair(u,regular(range_of(identity_relation))),cross_product(universal_class,universal_class)) -> member(ordered_pair(u,regular(range_of(identity_relation))),compose(identity_relation,v))*.
% 299.85/300.44  213713[20:Res:212340.0,5259.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(segment(u,singleton(regular(symmetrization_of(identity_relation))),least(u,singleton(regular(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.85/300.44  213862[17:Res:195387.1,588.0] || subclass(domain_relation,rotate(intersection(complement(u),complement(v)))) member(ordered_pair(ordered_pair(w,identity_relation),x),union(u,v))* -> .
% 299.85/300.44  213918[17:Res:195387.1,128.3] || subclass(domain_relation,rotate(u))* member(ordered_pair(v,identity_relation),w)* subclass(w,x)* well_ordering(u,x)* -> .
% 299.85/300.44  213939[17:SpR:2089.1,195388.1] || subclass(domain_relation,flip(u)) -> subclass(cross_product(v,w),x) member(ordered_pair(not_subclass_element(cross_product(v,w),x),identity_relation),u)*.
% 299.85/300.44  213964[17:Res:195388.1,588.0] || subclass(domain_relation,flip(intersection(complement(u),complement(v)))) member(ordered_pair(ordered_pair(w,x),identity_relation),union(u,v))* -> .
% 299.85/300.44  214179[0:Rew:120682.0,214104.1] || member(not_subclass_element(u,segment(universal_class,v,w)),cantor(cross_product(v,singleton(w))))* -> subclass(u,segment(universal_class,v,w)).
% 299.85/300.44  215018[14:Rew:202185.1,215002.2] || subclass(omega,ordered_pair(u,v))* -> equal(unordered_pair(u,singleton(v)),least(element_relation,omega)) equal(least(element_relation,omega),identity_relation).
% 299.85/300.44  215392[5:Res:5403.2,119659.0] || well_ordering(u,symmetric_difference(universal_class,v)) member(least(u,symmetric_difference(universal_class,v)),v)* -> equal(symmetric_difference(universal_class,v),identity_relation).
% 299.85/300.44  215393[5:Res:5403.2,119626.0] || well_ordering(u,symmetric_difference(universal_class,v)) -> equal(symmetric_difference(universal_class,v),identity_relation) member(least(u,symmetric_difference(universal_class,v)),complement(v))*.
% 299.85/300.44  215494[3:Res:28061.2,119659.0] inductive(symmetric_difference(universal_class,u)) || well_ordering(v,symmetric_difference(universal_class,u)) member(least(v,symmetric_difference(universal_class,u)),u)* -> .
% 299.85/300.44  215495[3:Res:28061.2,119626.0] inductive(symmetric_difference(universal_class,u)) || well_ordering(v,symmetric_difference(universal_class,u)) -> member(least(v,symmetric_difference(universal_class,u)),complement(u))*.
% 299.85/300.44  217496[5:Res:203760.1,2599.1] || equal(union(intersection(u,v),identity_relation),identity_relation)** member(identity_relation,union(u,v)) -> member(identity_relation,symmetric_difference(u,v)).
% 299.85/300.44  217569[5:Res:203762.1,2599.1] || equal(union(intersection(u,v),identity_relation),identity_relation)** member(omega,union(u,v)) -> member(omega,symmetric_difference(u,v)).
% 299.85/300.44  218106[5:Res:59.1,205293.1] || member(ordered_pair(u,power_class(identity_relation)),compose(v,w)) subclass(universal_class,complement(image(v,image(w,singleton(u)))))* -> .
% 299.85/300.44  219516[11:Res:207952.1,23342.0] || equal(identity_relation,u) subclass(rest_relation,successor_relation) -> equal(rest_of(regular(complement(power_class(u)))),successor(regular(complement(power_class(u)))))**.
% 299.85/300.44  219659[5:SpL:939.0,5467.0] || subclass(omega,symmetric_difference(cross_product(u,v),w)) -> equal(integer_of(x),identity_relation) member(x,complement(restrict(w,u,v)))*.
% 299.85/300.44  219660[5:SpL:938.0,5467.0] || subclass(omega,symmetric_difference(u,cross_product(v,w))) -> equal(integer_of(x),identity_relation) member(x,complement(restrict(u,v,w)))*.
% 299.85/300.44  219947[15:SoR:209244.0,4792.2] single_valued_class(restrict(element_relation,universal_class,u)) || equal(restrict(element_relation,universal_class,u),cross_product(universal_class,universal_class))** -> equal(sum_class(u),universal_class).
% 299.85/300.44  220049[15:SoR:209249.0,4792.2] single_valued_class(flip(cross_product(u,universal_class))) || equal(flip(cross_product(u,universal_class)),cross_product(universal_class,universal_class))** -> equal(inverse(u),universal_class).
% 299.85/300.44  220097[17:SpL:209749.1,37.0] function(u) || member(ordered_pair(singleton(singleton(identity_relation)),v),flip(w))* -> member(ordered_pair(ordered_pair(u,identity_relation),v),w)*.
% 299.85/300.44  220098[17:SpL:209749.1,34.0] function(u) || member(ordered_pair(singleton(singleton(identity_relation)),v),rotate(w))* -> member(ordered_pair(ordered_pair(u,v),identity_relation),w)*.
% 299.85/300.44  221170[17:Res:195177.2,776.0] || member(u,universal_class) subclass(domain_relation,cantor(v)) subclass(domain_of(v),w)* -> member(ordered_pair(u,identity_relation),w)*.
% 299.85/300.44  221205[0:Res:29726.0,776.0] || subclass(domain_of(u),v) -> subclass(complement(complement(cantor(u))),w) member(not_subclass_element(complement(complement(cantor(u))),w),v)*.
% 299.85/300.44  224557[17:SoR:219519.0,4792.2] single_valued_class(regular(complement(power_class(u)))) || equal(identity_relation,u) equal(regular(complement(power_class(u))),cross_product(universal_class,universal_class))** -> .
% 299.85/300.44  224806[0:Res:943.1,7571.2] || member(power_class(u),symmetric_difference(v,w))* member(u,universal_class) subclass(universal_class,complement(complement(intersection(v,w))))* -> .
% 299.85/300.44  224953[0:Rew:581.0,224881.1] || subclass(universal_class,intersection(complement(u),union(v,w))) member(omega,complement(intersection(complement(u),union(v,w))))* -> .
% 299.85/300.44  224894[7:SpL:189471.0,149331.0] || subclass(universal_class,intersection(complement(u),power_class(complement(singleton(identity_relation)))))* member(omega,union(u,image(element_relation,singleton(identity_relation)))) -> .
% 299.85/300.44  224896[5:SpL:122494.0,149331.0] || subclass(universal_class,intersection(complement(u),power_class(complement(inverse(identity_relation)))))* member(omega,union(u,image(element_relation,symmetrization_of(identity_relation)))) -> .
% 299.85/300.44  224959[0:Rew:580.0,224904.1] || subclass(universal_class,intersection(union(u,v),complement(w))) member(omega,complement(intersection(union(u,v),complement(w))))* -> .
% 299.85/300.44  224917[7:SpL:189471.0,149331.0] || subclass(universal_class,intersection(power_class(complement(singleton(identity_relation))),complement(u)))* member(omega,union(image(element_relation,singleton(identity_relation)),u)) -> .
% 299.85/300.44  224919[5:SpL:122494.0,149331.0] || subclass(universal_class,intersection(power_class(complement(inverse(identity_relation))),complement(u)))* member(omega,union(image(element_relation,symmetrization_of(identity_relation)),u)) -> .
% 299.85/300.44  225650[0:Res:943.1,7606.2] || member(sum_class(u),symmetric_difference(v,w))* member(u,universal_class) subclass(universal_class,complement(complement(intersection(v,w))))* -> .
% 299.85/300.44  227292[5:Res:227180.0,5259.0] || well_ordering(u,complement(cantor(inverse(v)))) -> equal(segment(u,complement(range_of(v)),least(u,complement(range_of(v)))),identity_relation)**.
% 299.85/300.44  227331[5:Res:227239.0,8.0] || subclass(complement(intersection(sum_class(u),universal_class)),complement(sum_class(u)))* -> equal(complement(intersection(sum_class(u),universal_class)),complement(sum_class(u))).
% 299.85/300.44  227364[5:Res:227240.0,8.0] || subclass(complement(intersection(inverse(u),universal_class)),complement(inverse(u)))* -> equal(complement(intersection(inverse(u),universal_class)),complement(inverse(u))).
% 299.85/300.44  227525[5:Res:29474.1,5602.0] || member(regular(intersection(complement(cantor(inverse(u))),v)),range_of(u))* -> equal(intersection(complement(cantor(inverse(u))),v),identity_relation).
% 299.85/300.44  227592[5:Rew:938.0,227498.1] || member(regular(symmetric_difference(u,cross_product(v,w))),restrict(u,v,w))* -> equal(symmetric_difference(u,cross_product(v,w)),identity_relation).
% 299.85/300.44  227593[5:Rew:939.0,227497.1] || member(regular(symmetric_difference(cross_product(u,v),w)),restrict(w,u,v))* -> equal(symmetric_difference(cross_product(u,v),w),identity_relation).
% 299.85/300.44  227943[5:Res:29474.1,5577.0] || member(regular(intersection(u,complement(cantor(inverse(v))))),range_of(v))* -> equal(intersection(u,complement(cantor(inverse(v)))),identity_relation).
% 299.85/300.44  228784[5:MRR:228727.3,204341.2] || member(unordered_pair(u,v),w)* member(unordered_pair(u,v),x)* subclass(universal_class,regular(intersection(x,w)))* -> .
% 299.85/300.44  228891[5:SpL:5337.2,228791.0] || member(cross_product(u,v),universal_class) subclass(universal_class,apply(choice,cross_product(u,v)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  228905[5:SpL:5337.2,228895.0] || member(cross_product(u,v),universal_class) equal(apply(choice,cross_product(u,v)),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  229065[5:Rew:118446.0,229043.0,22454.0,229043.0] ||  -> equal(symmetric_difference(complement(symmetrization_of(identity_relation)),union(inverse(identity_relation),symmetrization_of(identity_relation))),union(complement(symmetrization_of(identity_relation)),union(inverse(identity_relation),symmetrization_of(identity_relation))))**.
% 299.85/300.44  229741[5:SpR:22914.0,5585.1] ||  -> equal(symmetric_difference(union(u,identity_relation),universal_class),identity_relation) member(regular(symmetric_difference(union(u,identity_relation),universal_class)),complement(symmetric_difference(complement(u),universal_class)))*.
% 299.85/300.44  229856[5:Rew:118447.0,229752.1] ||  -> equal(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),identity_relation) member(regular(symmetric_difference(complement(u),symmetric_difference(universal_class,u))),union(u,identity_relation))*.
% 299.85/300.44  230299[0:Res:943.1,8431.1] || member(not_subclass_element(u,v),symmetric_difference(w,x))* subclass(u,complement(complement(intersection(w,x)))) -> subclass(u,v).
% 299.85/300.44  230323[5:Res:106230.1,8431.1] || subclass(u,complement(sum_class(singleton(not_subclass_element(u,v)))))* -> equal(sum_class(singleton(not_subclass_element(u,v))),identity_relation) subclass(u,v).
% 299.85/300.44  230394[5:Res:230113.0,3692.1] inductive(regular(u)) || well_ordering(v,complement(u)) -> equal(u,identity_relation) member(least(v,regular(u)),regular(u))*.
% 299.85/300.44  230395[5:Res:230113.0,5215.0] || well_ordering(u,complement(v)) -> equal(v,identity_relation) equal(regular(v),identity_relation) member(least(u,regular(v)),regular(v))*.
% 299.85/300.44  230423[7:Res:230400.0,5259.0] || well_ordering(u,singleton(identity_relation)) -> equal(segment(u,regular(complement(singleton(identity_relation))),least(u,regular(complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.44  230438[9:Res:230401.0,5259.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(segment(u,regular(complement(inverse(identity_relation))),least(u,regular(complement(inverse(identity_relation))))),identity_relation)**.
% 299.85/300.44  230542[0:Obv:230487.1] || member(ordered_pair(u,v),compose(w,x)) -> subclass(intersection(y,singleton(v)),image(w,image(x,singleton(u))))*.
% 299.85/300.44  230678[0:Obv:230617.1] || member(ordered_pair(u,v),compose(w,x)) -> subclass(intersection(singleton(v),y),image(w,image(x,singleton(u))))*.
% 299.85/300.44  232332[0:Res:601.1,119659.0] || member(not_subclass_element(restrict(symmetric_difference(universal_class,u),v,w),x),u)* -> subclass(restrict(symmetric_difference(universal_class,u),v,w),x).
% 299.85/300.44  232333[0:Res:601.1,119626.0] ||  -> subclass(restrict(symmetric_difference(universal_class,u),v,w),x) member(not_subclass_element(restrict(symmetric_difference(universal_class,u),v,w),x),complement(u))*.
% 299.85/300.44  232339[0:Res:601.1,610.0] ||  -> subclass(restrict(cantor(inverse(u)),v,w),x) member(not_subclass_element(restrict(cantor(inverse(u)),v,w),x),range_of(u))*.
% 299.85/300.44  232380[0:Obv:232352.1] || member(not_subclass_element(restrict(u,v,w),intersection(x,u)),x)* -> subclass(restrict(u,v,w),intersection(x,u)).
% 299.85/300.44  233555[5:SpL:233410.0,3524.1] || member(ordered_pair(universal_class,u),compose(v,w))* subclass(image(v,image(w,identity_relation)),x)* -> member(u,x)*.
% 299.85/300.44  233628[15:Rew:233485.0,193831.1] || member(range_of(identity_relation),not_well_ordering(universal_class,u)) equal(segment(universal_class,not_well_ordering(universal_class,u),universal_class),identity_relation)** -> well_ordering(universal_class,u).
% 299.85/300.44  233784[15:Rew:233634.0,233656.1] || member(u,sum_class(range_of(identity_relation))) member(ordered_pair(u,universal_class),cross_product(universal_class,universal_class))* -> member(ordered_pair(u,universal_class),element_relation).
% 299.85/300.44  233954[0:Res:608.1,28903.1] || member(singleton(domain_of(u)),cantor(u))* member(domain_of(u),universal_class) -> member(singleton(singleton(singleton(domain_of(u)))),element_relation)*.
% 299.85/300.44  233962[5:Res:220369.1,28903.1] || member(singleton(symmetrization_of(identity_relation)),inverse(identity_relation)) member(symmetrization_of(identity_relation),universal_class) -> member(singleton(singleton(singleton(symmetrization_of(identity_relation)))),element_relation)*.
% 299.85/300.44  233966[5:Res:5288.2,28903.1] || subclass(omega,u) member(u,universal_class) -> equal(integer_of(singleton(u)),identity_relation) member(singleton(singleton(singleton(u))),element_relation)*.
% 299.85/300.44  234167[17:Res:117277.0,195186.2] || member(u,universal_class) subclass(domain_relation,complement(inverse(singleton(ordered_pair(u,identity_relation)))))* -> asymmetric(singleton(ordered_pair(u,identity_relation)),v)*.
% 299.85/300.44  234197[17:Res:5288.2,195186.2] || subclass(omega,u) member(v,universal_class) subclass(domain_relation,complement(u))* -> equal(integer_of(ordered_pair(v,identity_relation)),identity_relation)**.
% 299.85/300.44  234404[5:Res:5288.2,2158.0] || subclass(omega,composition_function) -> equal(integer_of(ordered_pair(u,singleton(singleton(singleton(v))))),identity_relation)** equal(compose(u,singleton(v)),v).
% 299.85/300.44  234633[5:Res:5288.2,2036.0] || subclass(omega,rest_of(u)) -> equal(integer_of(singleton(singleton(singleton(v)))),identity_relation) equal(restrict(u,singleton(v),universal_class),v)**.
% 299.85/300.44  234798[5:Rew:118447.0,234780.2] || subclass(omega,symmetric_difference(universal_class,u)) -> equal(integer_of(not_subclass_element(union(u,identity_relation),v)),identity_relation)** subclass(union(u,identity_relation),v).
% 299.85/300.44  234890[5:Res:26595.1,2.0] || member(u,universal_class) subclass(domain_of(v),w)* -> equal(apply(v,u),sum_class(range_of(identity_relation)))** member(u,w)*.
% 299.85/300.44  234957[17:MRR:234896.0,641.0] || member(u,universal_class) subclass(domain_relation,complement(domain_of(v))) -> equal(apply(v,ordered_pair(u,identity_relation)),sum_class(range_of(identity_relation)))**.
% 299.85/300.44  234958[5:MRR:234881.0,12.0] || subclass(universal_class,regular(domain_of(u))) -> equal(apply(u,unordered_pair(v,w)),sum_class(range_of(identity_relation)))** equal(domain_of(u),identity_relation).
% 299.85/300.44  234959[5:MRR:234911.0,29542.1] ||  -> equal(apply(u,regular(regular(domain_of(u)))),sum_class(range_of(identity_relation)))** equal(regular(domain_of(u)),identity_relation) equal(domain_of(u),identity_relation).
% 299.85/300.44  234963[5:MRR:234913.0,29542.1] ||  -> equal(apply(u,regular(intersection(v,complement(domain_of(u))))),sum_class(range_of(identity_relation)))** equal(intersection(v,complement(domain_of(u))),identity_relation).
% 299.85/300.44  234964[5:MRR:234912.0,29542.1] ||  -> equal(apply(u,regular(intersection(complement(domain_of(u)),v))),sum_class(range_of(identity_relation)))** equal(intersection(complement(domain_of(u)),v),identity_relation).
% 299.85/300.44  235210[5:Res:5288.2,8058.1] || subclass(omega,u) well_ordering(v,universal_class) -> equal(integer_of(least(v,complement(u))),identity_relation)** equal(complement(u),identity_relation).
% 299.85/300.44  235228[5:Rew:118447.0,235171.2] || well_ordering(u,universal_class) member(least(u,union(v,identity_relation)),symmetric_difference(universal_class,v))* -> equal(union(v,identity_relation),identity_relation).
% 299.85/300.44  235241[5:MRR:235197.0,29598.2] || well_ordering(u,universal_class) -> member(least(u,complement(union(v,w))),complement(v))* equal(complement(union(v,w)),identity_relation).
% 299.85/300.44  235242[5:MRR:235196.0,29598.2] || well_ordering(u,universal_class) -> member(least(u,complement(union(v,w))),complement(w))* equal(complement(union(v,w)),identity_relation).
% 299.85/300.44  235300[15:SpR:233634.0,144.2] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),range_of(identity_relation)) -> member(ordered_pair(u,universal_class),rest_of(v))*.
% 299.85/300.44  235393[15:Rew:233634.0,235332.2] || equal(successor(u),range_of(identity_relation)) member(ordered_pair(u,universal_class),cross_product(universal_class,universal_class))* -> member(ordered_pair(u,universal_class),successor_relation).
% 299.85/300.44  235649[0:Res:20387.1,2.0] || subclass(rest_relation,rotate(u))* subclass(u,v)* -> member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),v)*.
% 299.85/300.44  235661[0:Res:20387.1,944.0] || subclass(rest_relation,rotate(symmetric_difference(u,v))) -> member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),union(u,v))*.
% 299.85/300.44  235662[0:Res:20387.1,8898.0] || subclass(rest_relation,rotate(symmetric_difference(u,singleton(u))))* -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),successor(u))*.
% 299.85/300.44  235663[0:Res:20387.1,8834.0] || subclass(rest_relation,rotate(symmetric_difference(u,inverse(u))))* -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),symmetrization_of(u))*.
% 299.85/300.44  235706[0:Res:20387.1,2158.0] || subclass(rest_relation,rotate(composition_function)) -> equal(compose(ordered_pair(u,rest_of(ordered_pair(singleton(singleton(singleton(v))),u))),singleton(v)),v)**.
% 299.85/300.44  235765[0:Res:20388.1,2.0] || subclass(rest_relation,flip(u))* subclass(u,v)* -> member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),v)*.
% 299.85/300.44  235777[0:Res:20388.1,944.0] || subclass(rest_relation,flip(symmetric_difference(u,v))) -> member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),union(u,v))*.
% 299.85/300.44  235778[0:Res:20388.1,8898.0] || subclass(rest_relation,flip(symmetric_difference(u,singleton(u))))* -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),successor(u))*.
% 299.85/300.44  235779[0:Res:20388.1,8834.0] || subclass(rest_relation,flip(symmetric_difference(u,inverse(u))))* -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),symmetrization_of(u))*.
% 299.85/300.44  235926[5:Res:5462.2,1002.1] || subclass(omega,symmetric_difference(u,v)) subclass(universal_class,complement(union(u,v)))* -> equal(integer_of(unordered_pair(w,x)),identity_relation)**.
% 299.85/300.44  235934[5:Res:5462.2,2.0] || subclass(omega,symmetric_difference(u,v)) subclass(union(u,v),w)* -> equal(integer_of(x),identity_relation) member(x,w)*.
% 299.85/300.44  235938[5:Res:5462.2,4.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(not_subclass_element(w,union(u,v))),identity_relation)** subclass(w,union(u,v)).
% 299.85/300.44  236145[5:Obv:236129.2] || subclass(complement(u),omega) subclass(omega,u) -> equal(not_subclass_element(complement(u),v),identity_relation)** subclass(complement(u),v).
% 299.85/300.44  236191[0:Res:8837.1,2.0] || subclass(symmetrization_of(u),v) -> subclass(symmetric_difference(u,inverse(u)),w) member(not_subclass_element(symmetric_difference(u,inverse(u)),w),v)*.
% 299.85/300.44  236263[0:Res:8903.1,2.0] || subclass(successor(u),v) -> subclass(symmetric_difference(u,singleton(u)),w) member(not_subclass_element(symmetric_difference(u,singleton(u)),w),v)*.
% 299.85/300.44  236473[5:Res:5288.2,8214.0] || subclass(omega,u) -> equal(integer_of(not_subclass_element(intersection(v,complement(u)),w)),identity_relation)** subclass(intersection(v,complement(u)),w).
% 299.85/300.44  236518[5:Rew:118447.0,236412.1] || member(not_subclass_element(intersection(u,union(v,identity_relation)),w),symmetric_difference(universal_class,v))* -> subclass(intersection(u,union(v,identity_relation)),w).
% 299.85/300.44  236537[0:MRR:236458.0,29531.1] ||  -> member(not_subclass_element(intersection(u,complement(union(v,w))),x),complement(v))* subclass(intersection(u,complement(union(v,w))),x).
% 299.85/300.44  236538[0:MRR:236457.0,29531.1] ||  -> member(not_subclass_element(intersection(u,complement(union(v,w))),x),complement(w))* subclass(intersection(u,complement(union(v,w))),x).
% 299.85/300.44  236590[5:Rew:233485.0,236562.0] || member(cross_product(u,identity_relation),segment(universal_class,u,universal_class)) -> member(ordered_pair(cross_product(u,identity_relation),segment(universal_class,u,universal_class)),element_relation)*.
% 299.85/300.44  236564[5:SpR:233485.0,26595.1] || member(u,universal_class) -> member(u,segment(universal_class,v,universal_class))* equal(apply(cross_product(v,identity_relation),u),sum_class(range_of(identity_relation))).
% 299.85/300.44  236591[5:Rew:233485.0,236574.1] || member(regular(complement(segment(universal_class,u,universal_class))),cantor(cross_product(u,identity_relation)))* -> equal(complement(segment(universal_class,u,universal_class)),identity_relation).
% 299.85/300.44  236600[5:Res:233486.0,8.0] || subclass(segment(universal_class,u,universal_class),cantor(cross_product(u,identity_relation)))* -> equal(segment(universal_class,u,universal_class),cantor(cross_product(u,identity_relation))).
% 299.85/300.44  236859[5:Res:5288.2,8308.0] || subclass(omega,u) -> equal(integer_of(not_subclass_element(intersection(complement(u),v),w)),identity_relation)** subclass(intersection(complement(u),v),w).
% 299.85/300.44  236913[5:Rew:118447.0,236785.1] || member(not_subclass_element(intersection(union(u,identity_relation),v),w),symmetric_difference(universal_class,u))* -> subclass(intersection(union(u,identity_relation),v),w).
% 299.85/300.44  236936[0:MRR:236843.0,29531.1] ||  -> member(not_subclass_element(intersection(complement(union(u,v)),w),x),complement(u))* subclass(intersection(complement(union(u,v)),w),x).
% 299.85/300.44  236937[0:MRR:236842.0,29531.1] ||  -> member(not_subclass_element(intersection(complement(union(u,v)),w),x),complement(v))* subclass(intersection(complement(union(u,v)),w),x).
% 299.85/300.44  237181[5:Obv:237146.3] || equal(u,v) member(w,v) member(w,unordered_pair(v,u))* -> equal(unordered_pair(v,u),identity_relation).
% 299.85/300.44  237182[5:Obv:237141.3] || equal(u,v) subclass(universal_class,v) member(omega,unordered_pair(v,u))* -> equal(unordered_pair(v,u),identity_relation).
% 299.85/300.44  237185[5:Obv:237128.2] || equal(u,v) subclass(unordered_pair(v,u),omega)* -> equal(unordered_pair(v,u),identity_relation) equal(integer_of(v),v).
% 299.85/300.44  237190[5:Rew:29180.2,237189.2] || equal(u,v) member(regular(v),unordered_pair(v,u))* -> equal(v,identity_relation) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.44  237331[5:Res:5580.1,2.0] || subclass(u,v) -> equal(intersection(w,intersection(x,u)),identity_relation) member(regular(intersection(w,intersection(x,u))),v)*.
% 299.85/300.44  237336[5:Res:5580.1,222432.0] ||  -> equal(intersection(u,intersection(v,complement(complement(w)))),identity_relation) member(regular(intersection(u,intersection(v,complement(complement(w))))),w)*.
% 299.85/300.44  237338[5:Res:5580.1,22.0] ||  -> equal(intersection(u,intersection(v,intersection(w,x))),identity_relation) member(regular(intersection(u,intersection(v,intersection(w,x)))),w)*.
% 299.85/300.44  237339[5:Res:5580.1,23.0] ||  -> equal(intersection(u,intersection(v,intersection(w,x))),identity_relation) member(regular(intersection(u,intersection(v,intersection(w,x)))),x)*.
% 299.85/300.44  237924[5:Res:5581.1,2.0] || subclass(u,v) -> equal(intersection(w,intersection(u,x)),identity_relation) member(regular(intersection(w,intersection(u,x))),v)*.
% 299.85/300.44  237929[5:Res:5581.1,222432.0] ||  -> equal(intersection(u,intersection(complement(complement(v)),w)),identity_relation) member(regular(intersection(u,intersection(complement(complement(v)),w))),v)*.
% 299.85/300.44  237931[5:Res:5581.1,22.0] ||  -> equal(intersection(u,intersection(intersection(v,w),x)),identity_relation) member(regular(intersection(u,intersection(intersection(v,w),x))),v)*.
% 299.85/300.44  237932[5:Res:5581.1,23.0] ||  -> equal(intersection(u,intersection(intersection(v,w),x)),identity_relation) member(regular(intersection(u,intersection(intersection(v,w),x))),w)*.
% 299.85/300.44  238029[5:Rew:22914.0,237854.0] ||  -> equal(intersection(u,symmetric_difference(complement(v),universal_class)),identity_relation) member(regular(intersection(u,symmetric_difference(complement(v),universal_class))),union(v,identity_relation))*.
% 299.85/300.44  238720[5:Res:5605.1,2.0] || subclass(u,v) -> equal(intersection(intersection(w,u),x),identity_relation) member(regular(intersection(intersection(w,u),x)),v)*.
% 299.85/300.44  238725[5:Res:5605.1,222432.0] ||  -> equal(intersection(intersection(u,complement(complement(v))),w),identity_relation) member(regular(intersection(intersection(u,complement(complement(v))),w)),v)*.
% 299.85/300.44  238727[5:Res:5605.1,22.0] ||  -> equal(intersection(intersection(u,intersection(v,w)),x),identity_relation) member(regular(intersection(intersection(u,intersection(v,w)),x)),v)*.
% 299.85/300.44  238728[5:Res:5605.1,23.0] ||  -> equal(intersection(intersection(u,intersection(v,w)),x),identity_relation) member(regular(intersection(intersection(u,intersection(v,w)),x)),w)*.
% 299.85/300.44  239514[5:Res:5606.1,2.0] || subclass(u,v) -> equal(intersection(intersection(u,w),x),identity_relation) member(regular(intersection(intersection(u,w),x)),v)*.
% 299.85/300.44  239519[5:Res:5606.1,222432.0] ||  -> equal(intersection(intersection(complement(complement(u)),v),w),identity_relation) member(regular(intersection(intersection(complement(complement(u)),v),w)),u)*.
% 299.85/300.44  239521[5:Res:5606.1,22.0] ||  -> equal(intersection(intersection(intersection(u,v),w),x),identity_relation) member(regular(intersection(intersection(intersection(u,v),w),x)),u)*.
% 299.85/300.44  239522[5:Res:5606.1,23.0] ||  -> equal(intersection(intersection(intersection(u,v),w),x),identity_relation) member(regular(intersection(intersection(intersection(u,v),w),x)),v)*.
% 299.85/300.44  239628[5:Rew:22914.0,239435.0] ||  -> equal(intersection(symmetric_difference(complement(u),universal_class),v),identity_relation) member(regular(intersection(symmetric_difference(complement(u),universal_class),v)),union(u,identity_relation))*.
% 299.85/300.44  240337[5:Res:5604.2,2.0] || subclass(u,v)* subclass(v,w)* -> equal(intersection(u,x),identity_relation) member(regular(intersection(u,x)),w)*.
% 299.85/300.44  240349[5:Res:5604.2,944.0] || subclass(u,symmetric_difference(v,w)) -> equal(intersection(u,x),identity_relation) member(regular(intersection(u,x)),union(v,w))*.
% 299.85/300.44  240350[5:Res:5604.2,8898.0] || subclass(u,symmetric_difference(v,singleton(v)))* -> equal(intersection(u,w),identity_relation) member(regular(intersection(u,w)),successor(v))*.
% 299.85/300.44  240351[5:Res:5604.2,8834.0] || subclass(u,symmetric_difference(v,inverse(v)))* -> equal(intersection(u,w),identity_relation) member(regular(intersection(u,w)),symmetrization_of(v))*.
% 299.85/300.44  240355[5:Res:5604.2,158.0] || subclass(u,omega) -> equal(intersection(u,v),identity_relation) equal(integer_of(regular(intersection(u,v))),regular(intersection(u,v)))**.
% 299.85/300.44  240414[5:Rew:22914.0,240272.1] || subclass(union(u,identity_relation),v) -> equal(symmetric_difference(complement(u),universal_class),identity_relation) member(regular(symmetric_difference(complement(u),universal_class)),v)*.
% 299.85/300.44  240415[5:Rew:30.0,240269.1] || subclass(cross_product(u,v),w) -> equal(restrict(x,u,v),identity_relation) member(regular(restrict(x,u,v)),w)*.
% 299.85/300.44  240930[5:Res:5579.2,2.0] || subclass(u,v)* subclass(v,w)* -> equal(intersection(x,u),identity_relation) member(regular(intersection(x,u)),w)*.
% 299.85/300.44  240942[5:Res:5579.2,944.0] || subclass(u,symmetric_difference(v,w)) -> equal(intersection(x,u),identity_relation) member(regular(intersection(x,u)),union(v,w))*.
% 299.85/300.44  240943[5:Res:5579.2,8898.0] || subclass(u,symmetric_difference(v,singleton(v)))* -> equal(intersection(w,u),identity_relation) member(regular(intersection(w,u)),successor(v))*.
% 299.85/300.44  240944[5:Res:5579.2,8834.0] || subclass(u,symmetric_difference(v,inverse(v)))* -> equal(intersection(w,u),identity_relation) member(regular(intersection(w,u)),symmetrization_of(v))*.
% 299.85/300.44  240948[5:Res:5579.2,158.0] || subclass(u,omega) -> equal(intersection(v,u),identity_relation) equal(integer_of(regular(intersection(v,u))),regular(intersection(v,u)))**.
% 299.85/300.44  241353[5:Res:5311.2,2.0] || subclass(u,symmetric_difference(v,w))* subclass(union(v,w),x)* -> equal(u,identity_relation) member(regular(u),x)*.
% 299.85/300.44  241383[5:Obv:241362.1] || subclass(intersection(u,complement(union(v,w))),symmetric_difference(v,w))* -> equal(intersection(u,complement(union(v,w))),identity_relation).
% 299.85/300.44  241384[5:Obv:241361.1] || subclass(intersection(complement(union(u,v)),w),symmetric_difference(u,v))* -> equal(intersection(complement(union(u,v)),w),identity_relation).
% 299.85/300.44  241494[5:Res:122365.0,5316.0] || subclass(symmetric_difference(universal_class,u),v) -> equal(complement(union(u,identity_relation)),identity_relation) member(regular(complement(union(u,identity_relation))),v)*.
% 299.85/300.44  241506[5:Res:227239.0,5316.0] || subclass(complement(intersection(sum_class(u),universal_class)),v)* -> equal(complement(sum_class(u)),identity_relation) member(regular(complement(sum_class(u))),v).
% 299.85/300.44  241507[5:Res:227240.0,5316.0] || subclass(complement(intersection(inverse(u),universal_class)),v)* -> equal(complement(inverse(u)),identity_relation) member(regular(complement(inverse(u))),v).
% 299.85/300.44  241708[0:SpR:146022.0,8335.1] ||  -> subclass(symmetric_difference(u,intersection(u,v)),w) member(not_subclass_element(symmetric_difference(u,intersection(u,v)),w),complement(intersection(u,v)))*.
% 299.85/300.44  241709[0:SpR:146209.0,8335.1] ||  -> subclass(symmetric_difference(u,intersection(v,u)),w) member(not_subclass_element(symmetric_difference(u,intersection(v,u)),w),complement(intersection(v,u)))*.
% 299.85/300.44  241822[0:Res:8335.1,2.0] || subclass(complement(intersection(u,v)),w) -> subclass(symmetric_difference(u,v),x) member(not_subclass_element(symmetric_difference(u,v),x),w)*.
% 299.85/300.44  242379[0:SpL:598.0,756.0] || member(u,cantor(restrict(cross_product(v,singleton(w)),x,y)))* -> member(u,segment(cross_product(x,y),v,w)).
% 299.85/300.44  242419[5:Res:5214.2,756.0] || subclass(u,cantor(restrict(v,w,singleton(x))))* -> equal(u,identity_relation) member(regular(u),segment(v,w,x)).
% 299.85/300.44  242428[5:Res:5288.2,756.0] || subclass(omega,cantor(restrict(u,v,singleton(w))))* -> equal(integer_of(x),identity_relation) member(x,segment(u,v,w))*.
% 299.85/300.44  242520[0:SpR:9097.0,77667.1] || equal(rest_of(restrict(cross_product(u,singleton(v)),w,x)),rest_relation)** -> equal(segment(cross_product(w,x),u,v),universal_class).
% 299.85/300.44  242521[0:SpR:9097.0,79123.1] || equal(cantor(restrict(cross_product(u,singleton(v)),w,x)),universal_class)** -> equal(segment(cross_product(w,x),u,v),universal_class).
% 299.85/300.44  242522[5:SpR:9097.0,122380.0] ||  -> equal(symmetric_difference(universal_class,cantor(restrict(cross_product(u,singleton(v)),w,x))),symmetric_difference(segment(cross_product(w,x),u,v),universal_class))**.
% 299.85/300.44  242528[5:SpR:9097.0,203318.1] || equal(rest_of(restrict(cross_product(u,singleton(v)),w,x)),identity_relation)** -> equal(segment(cross_product(w,x),u,v),identity_relation).
% 299.85/300.44  242529[5:SpR:9097.0,203313.1] || equal(cantor(restrict(cross_product(u,singleton(v)),w,x)),identity_relation)** -> equal(segment(cross_product(w,x),u,v),identity_relation).
% 299.85/300.44  242533[14:SpR:9097.0,178684.1] || equal(cantor(restrict(cross_product(u,singleton(v)),w,x)),omega)** -> member(identity_relation,segment(cross_product(w,x),u,v)).
% 299.85/300.44  242534[14:SpR:9097.0,178550.1] || subclass(omega,cantor(restrict(cross_product(u,singleton(v)),w,x)))* -> member(identity_relation,segment(cross_product(w,x),u,v)).
% 299.85/300.44  242547[0:SpR:9097.0,45819.1] || subclass(u,cantor(restrict(cross_product(v,singleton(w)),x,y)))* -> subclass(u,segment(cross_product(x,y),v,w)).
% 299.85/300.44  242561[5:SpL:9097.0,145924.0] || equal(segment(cross_product(u,v),w,x),universal_class) -> equal(cantor(restrict(cross_product(w,singleton(x)),u,v)),universal_class)**.
% 299.85/300.44  242562[5:SpL:9097.0,146240.0] || subclass(universal_class,segment(cross_product(u,v),w,x)) -> equal(cantor(restrict(cross_product(w,singleton(x)),u,v)),universal_class)**.
% 299.85/300.44  242567[5:SpL:9097.0,203320.0] || equal(segment(cross_product(u,v),w,x),identity_relation) -> equal(cantor(restrict(cross_product(w,singleton(x)),u,v)),identity_relation)**.
% 299.85/300.44  242568[5:SpL:9097.0,208585.0] || member(restrict(cross_product(u,singleton(v)),w,x),segment(cross_product(w,x),u,v))* subclass(element_relation,identity_relation) -> .
% 299.85/300.44  242572[5:SpL:9097.0,204822.0] || subclass(segment(cross_product(u,v),w,x),identity_relation) -> equal(cantor(restrict(cross_product(w,singleton(x)),u,v)),identity_relation)**.
% 299.85/300.44  242578[5:SpL:9097.0,29473.0] || member(u,segment(cross_product(v,w),x,y)) -> member(u,cantor(restrict(cross_product(x,singleton(y)),v,w)))*.
% 299.85/300.44  242589[5:Rew:5299.0,242560.2,120682.0,242560.1] || member(u,universal_class) -> member(u,segment(universal_class,v,w)) equal(segment(cross_product(singleton(u),universal_class),v,w),identity_relation)**.
% 299.85/300.44  242630[5:SpR:598.0,5341.1] ||  -> equal(restrict(cross_product(u,v),w,x),identity_relation) member(regular(restrict(cross_product(w,x),u,v)),cross_product(w,x))*.
% 299.85/300.44  244651[21:Res:5214.2,243787.1] || subclass(u,complement(compose(complement(element_relation),inverse(element_relation))))* member(regular(u),cross_product(universal_class,universal_class)) -> equal(u,identity_relation).
% 299.85/300.44  244661[21:Res:5288.2,243787.1] || subclass(omega,complement(compose(complement(element_relation),inverse(element_relation))))* member(u,cross_product(universal_class,universal_class))* -> equal(integer_of(u),identity_relation).
% 299.85/300.44  245813[15:SoR:245791.0,4792.2] single_valued_class(complement(cross_product(singleton(power_class(identity_relation)),universal_class))) || equal(complement(cross_product(singleton(power_class(identity_relation)),universal_class)),cross_product(universal_class,universal_class))** -> .
% 299.85/300.44  246132[3:SpL:619.0,3957.1] inductive(intersection(power_class(image(element_relation,complement(u))),complement(v))) || equal(union(image(element_relation,power_class(u)),v),universal_class)** -> .
% 299.85/300.44  246171[14:SpL:619.0,178302.1] inductive(intersection(power_class(image(element_relation,complement(u))),complement(v))) || equal(union(image(element_relation,power_class(u)),v),omega)** -> .
% 299.85/300.44  246325[15:MRR:246324.2,191629.0] single_valued_class(intersection(power_class(image(element_relation,complement(u))),complement(v))) || equal(union(image(element_relation,power_class(u)),v),universal_class)** -> .
% 299.85/300.44  246558[3:SpL:621.0,3957.1] inductive(intersection(complement(u),power_class(image(element_relation,complement(v))))) || equal(union(u,image(element_relation,power_class(v))),universal_class)** -> .
% 299.85/300.44  246597[14:SpL:621.0,178302.1] inductive(intersection(complement(u),power_class(image(element_relation,complement(v))))) || equal(union(u,image(element_relation,power_class(v))),omega)** -> .
% 299.85/300.44  246754[15:MRR:246753.2,191629.0] single_valued_class(intersection(complement(u),power_class(image(element_relation,complement(v))))) || equal(union(u,image(element_relation,power_class(v))),universal_class)** -> .
% 299.85/300.44  247293[17:SpL:21037.0,195185.1] || member(u,universal_class) subclass(domain_relation,symmetric_difference(complement(v),complement(singleton(v))))* -> member(ordered_pair(u,identity_relation),successor(v))*.
% 299.85/300.44  247317[0:Rew:21037.0,247182.0] ||  -> subclass(symmetric_difference(complement(u),complement(singleton(u))),v) member(not_subclass_element(symmetric_difference(complement(u),complement(singleton(u))),v),successor(u))*.
% 299.85/300.44  247887[5:Res:29474.1,20349.2] || member(ordered_pair(u,rest_of(u)),range_of(v))* member(u,universal_class) subclass(rest_relation,complement(cantor(inverse(v)))) -> .
% 299.85/300.44  247935[0:MRR:247898.2,29469.1] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),rest_of(u))** subclass(rest_relation,complement(rest_of(v)))* -> .
% 299.85/300.44  248360[0:SpL:20365.2,595.0] || member(u,universal_class) subclass(rest_relation,rest_of(v))* member(w,rest_of(u)) -> member(w,cross_product(u,universal_class))*.
% 299.85/300.44  248371[0:Rew:20365.2,248316.2] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> subclass(rest_of(u),w) member(not_subclass_element(rest_of(u),w),v)*.
% 299.85/300.44  248583[17:SpL:21036.0,195185.1] || member(u,universal_class) subclass(domain_relation,symmetric_difference(complement(v),complement(inverse(v))))* -> member(ordered_pair(u,identity_relation),symmetrization_of(v))*.
% 299.85/300.44  248602[0:Rew:21036.0,248484.0] ||  -> subclass(symmetric_difference(complement(u),complement(inverse(u))),v) member(not_subclass_element(symmetric_difference(complement(u),complement(inverse(u))),v),symmetrization_of(u))*.
% 299.85/300.44  248877[5:Res:205098.1,120713.0] || equal(identity_relation,u) -> member(power_class(u),image(universal_class,singleton(power_class(u))))* asymmetric(cross_product(singleton(power_class(u)),universal_class),v)*.
% 299.85/300.44  248878[5:Res:57.1,120713.0] || member(u,universal_class) -> member(power_class(u),image(universal_class,singleton(power_class(u))))* asymmetric(cross_product(singleton(power_class(u)),universal_class),v)*.
% 299.85/300.44  248882[5:Res:55.1,120713.0] || member(u,universal_class) -> member(sum_class(u),image(universal_class,singleton(sum_class(u))))* asymmetric(cross_product(singleton(sum_class(u)),universal_class),v)*.
% 299.85/300.44  248889[5:Res:226257.1,120713.0] || member(u,universal_class) -> member(rest_of(u),image(universal_class,singleton(rest_of(u))))* asymmetric(cross_product(singleton(rest_of(u)),universal_class),v)*.
% 299.85/300.44  249236[0:Rew:249197.0,246639.1] || member(u,complement(union(v,image(element_relation,power_class(w))))) -> member(u,intersection(complement(v),power_class(complement(power_class(w)))))*.
% 299.85/300.44  249239[0:Rew:249197.0,20537.0] || member(u,intersection(complement(v),power_class(complement(power_class(w)))))* member(u,union(v,image(element_relation,power_class(w)))) -> .
% 299.85/300.44  249254[0:Rew:249197.0,234089.0] || subclass(ordered_pair(u,v),power_class(complement(power_class(w)))) member(unordered_pair(u,singleton(v)),image(element_relation,power_class(w)))* -> .
% 299.85/300.44  249290[0:Rew:249197.0,246545.0] || subclass(universal_class,intersection(complement(u),power_class(complement(power_class(v)))))* subclass(universal_class,union(u,image(element_relation,power_class(v)))) -> .
% 299.85/300.44  249291[5:Rew:249197.0,246559.0] || subclass(universal_class,intersection(complement(u),power_class(complement(power_class(v)))))* subclass(domain_relation,union(u,image(element_relation,power_class(v)))) -> .
% 299.85/300.44  249292[0:Rew:249197.0,224893.0] || subclass(universal_class,intersection(complement(u),power_class(complement(power_class(v)))))* member(omega,union(u,image(element_relation,power_class(v)))) -> .
% 299.85/300.44  249306[5:Rew:249197.0,246542.1] || subclass(universal_class,union(u,image(element_relation,power_class(v)))) member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249307[5:Rew:249197.0,246565.1] || equal(complement(union(u,image(element_relation,power_class(v)))),universal_class) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249308[5:Rew:249197.0,246569.1] || subclass(universal_class,complement(union(u,image(element_relation,power_class(v))))) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249309[14:Rew:249197.0,246571.1] || equal(complement(union(u,image(element_relation,power_class(v)))),omega) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249310[14:Rew:249197.0,246578.1] || subclass(omega,complement(union(u,image(element_relation,power_class(v))))) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249311[14:Rew:249197.0,246593.1] || subclass(omega,union(u,image(element_relation,power_class(v)))) member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249322[5:Rew:249197.0,246429.0] ||  -> equal(symmetric_difference(image(element_relation,union(u,image(element_relation,power_class(v)))),power_class(intersection(complement(u),power_class(complement(power_class(v)))))),universal_class)**.
% 299.85/300.44  249323[5:Rew:249197.0,246428.0] ||  -> equal(intersection(image(element_relation,union(u,image(element_relation,power_class(v)))),power_class(intersection(complement(u),power_class(complement(power_class(v)))))),identity_relation)**.
% 299.85/300.44  249324[5:Rew:249197.0,246427.0] ||  -> equal(symmetric_difference(power_class(intersection(complement(u),power_class(complement(power_class(v))))),image(element_relation,union(u,image(element_relation,power_class(v))))),universal_class)**.
% 299.85/300.44  249325[5:Rew:249197.0,246426.0] ||  -> equal(intersection(power_class(intersection(complement(u),power_class(complement(power_class(v))))),image(element_relation,union(u,image(element_relation,power_class(v))))),identity_relation)**.
% 299.85/300.44  249340[0:Rew:249197.0,246544.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),universal_class) subclass(universal_class,union(u,image(element_relation,power_class(v))))* -> .
% 299.85/300.44  249341[5:Rew:249197.0,246562.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),universal_class)** equal(union(u,image(element_relation,power_class(v))),domain_relation) -> .
% 299.85/300.44  249342[14:Rew:249197.0,246596.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),universal_class)** equal(union(u,image(element_relation,power_class(v))),omega) -> .
% 299.85/300.44  249348[0:Rew:249197.0,246546.1] || subclass(universal_class,union(u,image(element_relation,power_class(v)))) member(omega,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249349[0:Rew:249197.0,246566.1] || equal(complement(union(u,image(element_relation,power_class(v)))),universal_class) -> member(omega,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249350[0:Rew:249197.0,246568.1] || subclass(universal_class,complement(union(u,image(element_relation,power_class(v))))) -> member(omega,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249353[0:Rew:249197.0,246605.1] || well_ordering(universal_class,union(u,image(element_relation,power_class(v)))) well_ordering(universal_class,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249354[5:Rew:249197.0,246618.1] || subclass(union(u,image(element_relation,power_class(v))),identity_relation) well_ordering(universal_class,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249355[15:Rew:249197.0,246433.0] ||  -> member(singleton(identity_relation),intersection(complement(u),power_class(complement(power_class(v)))))* member(singleton(identity_relation),union(u,image(element_relation,power_class(v)))).
% 299.85/300.44  249356[15:Rew:249197.0,246604.1] || well_ordering(universal_class,union(u,image(element_relation,power_class(v)))) -> member(singleton(identity_relation),intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249358[14:Rew:249197.0,246595.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),omega)** equal(union(u,image(element_relation,power_class(v))),omega) -> .
% 299.85/300.44  249359[5:Rew:249197.0,246563.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),domain_relation)** equal(union(u,image(element_relation,power_class(v))),domain_relation) -> .
% 299.85/300.44  249361[5:Rew:249197.0,246547.0] || subclass(domain_relation,intersection(complement(u),power_class(complement(power_class(v)))))* subclass(universal_class,union(u,image(element_relation,power_class(v)))) -> .
% 299.85/300.44  249362[5:Rew:249197.0,246560.0] || subclass(domain_relation,intersection(complement(u),power_class(complement(power_class(v)))))* subclass(domain_relation,union(u,image(element_relation,power_class(v)))) -> .
% 299.85/300.44  249363[5:Rew:249197.0,246452.0] ||  -> equal(intersection(restrict(intersection(complement(u),power_class(complement(power_class(v)))),w,x),union(u,image(element_relation,power_class(v)))),identity_relation)**.
% 299.85/300.44  249364[5:Rew:249197.0,246451.0] ||  -> equal(intersection(union(u,image(element_relation,power_class(v))),restrict(intersection(complement(u),power_class(complement(power_class(v)))),w,x)),identity_relation)**.
% 299.85/300.44  249407[0:Rew:249197.0,234074.0] || subclass(u,power_class(complement(power_class(v)))) member(not_subclass_element(u,w),image(element_relation,power_class(v)))* -> subclass(u,w).
% 299.85/300.44  249411[0:Rew:249197.0,246213.1] || member(u,complement(union(image(element_relation,power_class(v)),w))) -> member(u,intersection(power_class(complement(power_class(v))),complement(w)))*.
% 299.85/300.44  249414[0:Rew:249197.0,20548.0] || member(u,intersection(power_class(complement(power_class(v))),complement(w)))* member(u,union(image(element_relation,power_class(v)),w)) -> .
% 299.85/300.44  249441[0:Rew:249197.0,234077.1] || member(u,universal_class) subclass(universal_class,power_class(complement(power_class(v)))) member(power_class(u),image(element_relation,power_class(v)))* -> .
% 299.85/300.44  249442[0:Rew:249197.0,234080.1] || member(u,universal_class) subclass(universal_class,power_class(complement(power_class(v)))) member(sum_class(u),image(element_relation,power_class(v)))* -> .
% 299.85/300.44  249504[0:Rew:249197.0,245020.0] ||  -> equal(union(u,intersection(power_class(v),complement(inverse(complement(power_class(v)))))),complement(intersection(complement(u),symmetrization_of(complement(power_class(v))))))**.
% 299.85/300.44  249520[0:Rew:249197.0,245434.0] ||  -> equal(union(u,intersection(power_class(v),complement(singleton(complement(power_class(v)))))),complement(intersection(complement(u),successor(complement(power_class(v))))))**.
% 299.85/300.44  249664[0:Rew:249197.0,246119.0] || subclass(universal_class,intersection(power_class(complement(power_class(u))),complement(v)))* subclass(universal_class,union(image(element_relation,power_class(u)),v)) -> .
% 299.85/300.44  249665[5:Rew:249197.0,246133.0] || subclass(universal_class,intersection(power_class(complement(power_class(u))),complement(v)))* subclass(domain_relation,union(image(element_relation,power_class(u)),v)) -> .
% 299.85/300.44  249666[0:Rew:249197.0,224916.0] || subclass(universal_class,intersection(power_class(complement(power_class(u))),complement(v)))* member(omega,union(image(element_relation,power_class(u)),v)) -> .
% 299.85/300.44  249680[5:Rew:249197.0,246116.1] || subclass(universal_class,union(image(element_relation,power_class(u)),v)) member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249681[5:Rew:249197.0,246139.1] || equal(complement(union(image(element_relation,power_class(u)),v)),universal_class) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249682[5:Rew:249197.0,246143.1] || subclass(universal_class,complement(union(image(element_relation,power_class(u)),v))) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249683[14:Rew:249197.0,246145.1] || equal(complement(union(image(element_relation,power_class(u)),v)),omega) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249684[14:Rew:249197.0,246152.1] || subclass(omega,complement(union(image(element_relation,power_class(u)),v))) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249685[14:Rew:249197.0,246167.1] || subclass(omega,union(image(element_relation,power_class(u)),v)) member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249696[5:Rew:249197.0,246004.0] ||  -> equal(symmetric_difference(image(element_relation,union(image(element_relation,power_class(u)),v)),power_class(intersection(power_class(complement(power_class(u))),complement(v)))),universal_class)**.
% 299.85/300.44  249697[5:Rew:249197.0,246003.0] ||  -> equal(intersection(image(element_relation,union(image(element_relation,power_class(u)),v)),power_class(intersection(power_class(complement(power_class(u))),complement(v)))),identity_relation)**.
% 299.85/300.44  249698[5:Rew:249197.0,246002.0] ||  -> equal(symmetric_difference(power_class(intersection(power_class(complement(power_class(u))),complement(v))),image(element_relation,union(image(element_relation,power_class(u)),v))),universal_class)**.
% 299.85/300.44  249699[5:Rew:249197.0,246001.0] ||  -> equal(intersection(power_class(intersection(power_class(complement(power_class(u))),complement(v))),image(element_relation,union(image(element_relation,power_class(u)),v))),identity_relation)**.
% 299.85/300.44  249714[0:Rew:249197.0,246118.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),universal_class) subclass(universal_class,union(image(element_relation,power_class(u)),v))* -> .
% 299.85/300.44  249715[5:Rew:249197.0,246136.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),universal_class)** equal(union(image(element_relation,power_class(u)),v),domain_relation) -> .
% 299.85/300.44  249716[14:Rew:249197.0,246170.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),universal_class)** equal(union(image(element_relation,power_class(u)),v),omega) -> .
% 299.85/300.44  249722[0:Rew:249197.0,246120.1] || subclass(universal_class,union(image(element_relation,power_class(u)),v)) member(omega,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249723[0:Rew:249197.0,246140.1] || equal(complement(union(image(element_relation,power_class(u)),v)),universal_class) -> member(omega,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249724[0:Rew:249197.0,246142.1] || subclass(universal_class,complement(union(image(element_relation,power_class(u)),v))) -> member(omega,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249727[0:Rew:249197.0,246179.1] || well_ordering(universal_class,union(image(element_relation,power_class(u)),v)) well_ordering(universal_class,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249728[5:Rew:249197.0,246192.1] || subclass(union(image(element_relation,power_class(u)),v),identity_relation) well_ordering(universal_class,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249729[15:Rew:249197.0,246008.0] ||  -> member(singleton(identity_relation),intersection(power_class(complement(power_class(u))),complement(v)))* member(singleton(identity_relation),union(image(element_relation,power_class(u)),v)).
% 299.85/300.44  249730[15:Rew:249197.0,246178.1] || well_ordering(universal_class,union(image(element_relation,power_class(u)),v)) -> member(singleton(identity_relation),intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249732[14:Rew:249197.0,246169.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),omega)** equal(union(image(element_relation,power_class(u)),v),omega) -> .
% 299.85/300.44  249733[5:Rew:249197.0,246137.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),domain_relation)** equal(union(image(element_relation,power_class(u)),v),domain_relation) -> .
% 299.85/300.44  249735[5:Rew:249197.0,246121.0] || subclass(domain_relation,intersection(power_class(complement(power_class(u))),complement(v)))* subclass(universal_class,union(image(element_relation,power_class(u)),v)) -> .
% 299.85/300.44  249736[5:Rew:249197.0,246134.0] || subclass(domain_relation,intersection(power_class(complement(power_class(u))),complement(v)))* subclass(domain_relation,union(image(element_relation,power_class(u)),v)) -> .
% 299.85/300.44  249737[5:Rew:249197.0,246027.0] ||  -> equal(intersection(restrict(intersection(power_class(complement(power_class(u))),complement(v)),w,x),union(image(element_relation,power_class(u)),v)),identity_relation)**.
% 299.85/300.44  249738[5:Rew:249197.0,246026.0] ||  -> equal(intersection(union(image(element_relation,power_class(u)),v),restrict(intersection(power_class(complement(power_class(u))),complement(v)),w,x)),identity_relation)**.
% 299.85/300.44  249838[17:Rew:249197.0,234071.0] || subclass(domain_relation,flip(power_class(complement(power_class(u))))) member(ordered_pair(ordered_pair(v,w),identity_relation),image(element_relation,power_class(u)))* -> .
% 299.85/300.44  249840[17:Rew:249197.0,234069.0] || subclass(domain_relation,rotate(power_class(complement(power_class(u))))) member(ordered_pair(ordered_pair(v,identity_relation),w),image(element_relation,power_class(u)))* -> .
% 299.85/300.44  250004[7:Rew:249197.0,245146.1] inductive(intersection(power_class(u),complement(inverse(image(element_relation,complement(u)))))) || equal(symmetrization_of(complement(power_class(u))),singleton(identity_relation))** -> .
% 299.85/300.44  250050[0:Rew:249197.0,244967.0] ||  -> equal(union(intersection(power_class(u),complement(inverse(complement(power_class(u))))),v),complement(intersection(symmetrization_of(complement(power_class(u))),complement(v))))**.
% 299.85/300.44  250129[7:Rew:249197.0,245562.1] inductive(intersection(power_class(u),complement(singleton(image(element_relation,complement(u)))))) || equal(successor(complement(power_class(u))),singleton(identity_relation))** -> .
% 299.85/300.44  250175[0:Rew:249197.0,245380.0] ||  -> equal(union(intersection(power_class(u),complement(singleton(complement(power_class(u))))),v),complement(intersection(successor(complement(power_class(u))),complement(v))))**.
% 299.85/300.44  250201[3:Rew:249197.0,102282.2] inductive(image(element_relation,complement(u))) || well_ordering(v,universal_class) member(least(v,complement(power_class(u))),power_class(u))* -> .
% 299.85/300.44  250292[5:Rew:250258.0,27691.0] ||  -> subclass(symmetric_difference(power_class(intersection(complement(u),complement(v))),power_class(identity_relation)),union(image(element_relation,union(u,v)),complement(power_class(identity_relation))))*.
% 299.85/300.44  250485[5:Rew:250286.0,26988.0] ||  -> subclass(symmetric_difference(power_class(intersection(complement(u),complement(v))),power_class(universal_class)),union(image(element_relation,union(u,v)),complement(power_class(universal_class))))*.
% 299.85/300.44  250543[5:Rew:250502.0,27664.0] ||  -> subclass(symmetric_difference(power_class(identity_relation),power_class(intersection(complement(u),complement(v)))),union(complement(power_class(identity_relation)),image(element_relation,union(u,v))))*.
% 299.85/300.44  250735[5:Rew:250538.0,27017.0] ||  -> subclass(symmetric_difference(power_class(universal_class),power_class(intersection(complement(u),complement(v)))),union(complement(power_class(universal_class)),image(element_relation,union(u,v))))*.
% 299.85/300.44  250936[5:Rew:249197.0,249941.1] || subclass(universal_class,complement(symmetrization_of(complement(power_class(u))))) -> member(power_class(identity_relation),intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250937[0:Rew:249197.0,249942.1] || subclass(universal_class,complement(symmetrization_of(complement(power_class(u))))) -> member(singleton(v),intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250938[0:Rew:249197.0,249945.1] || equal(complement(symmetrization_of(complement(power_class(u)))),universal_class) well_ordering(universal_class,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.44  250939[5:Rew:249197.0,249948.1] || equal(complement(complement(symmetrization_of(complement(power_class(u))))),identity_relation) -> member(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250940[5:Rew:249197.0,249949.1] || equal(complement(complement(symmetrization_of(complement(power_class(u))))),identity_relation) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250941[7:Rew:249197.0,249950.1] || equal(complement(symmetrization_of(complement(power_class(u)))),singleton(identity_relation)) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250942[5:Rew:249197.0,249953.1] || equal(complement(symmetrization_of(complement(power_class(u)))),identity_relation) subclass(domain_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.44  250943[5:Rew:249197.0,249954.1] || equal(complement(symmetrization_of(complement(power_class(u)))),identity_relation) member(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.44  250944[5:Rew:249197.0,249955.1] || equal(complement(symmetrization_of(complement(power_class(u)))),identity_relation) subclass(universal_class,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.44  250945[5:Rew:249197.0,249956.1] || equal(complement(symmetrization_of(complement(power_class(u)))),identity_relation) equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),universal_class)** -> .
% 299.85/300.44  250946[5:Rew:249197.0,249957.1] || equal(complement(symmetrization_of(complement(power_class(u)))),identity_relation) member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.44  250947[0:Rew:249197.0,249959.0] || subclass(universal_class,image(element_relation,symmetrization_of(complement(power_class(u))))) member(omega,complement(image(element_relation,symmetrization_of(complement(power_class(u))))))* -> .
% 299.85/300.44  250948[14:Rew:249197.0,249987.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),singleton(identity_relation))** equal(symmetrization_of(complement(power_class(u))),omega) -> .
% 299.85/300.44  250949[5:Rew:249197.0,249994.0] || equal(symmetrization_of(intersection(power_class(u),complement(inverse(complement(power_class(u)))))),identity_relation)** subclass(symmetrization_of(complement(power_class(u))),identity_relation) -> .
% 299.85/300.44  250950[5:Rew:249197.0,249995.1] || subclass(symmetrization_of(complement(power_class(u))),identity_relation) -> equal(complement(symmetrization_of(intersection(power_class(u),complement(inverse(complement(power_class(u))))))),identity_relation)**.
% 299.85/300.44  250951[5:Rew:249197.0,249996.1] || subclass(symmetrization_of(complement(power_class(u))),identity_relation) subclass(successor(intersection(power_class(u),complement(inverse(complement(power_class(u)))))),identity_relation)* -> .
% 299.85/300.44  250952[5:Rew:249197.0,249997.0] || equal(successor(intersection(power_class(u),complement(inverse(complement(power_class(u)))))),identity_relation)** subclass(symmetrization_of(complement(power_class(u))),identity_relation) -> .
% 299.85/300.44  250953[5:Rew:249197.0,249998.1] || subclass(symmetrization_of(complement(power_class(u))),identity_relation) -> equal(complement(successor(intersection(power_class(u),complement(inverse(complement(power_class(u))))))),identity_relation)**.
% 299.85/300.44  250954[7:Rew:249197.0,250002.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),universal_class)** equal(symmetrization_of(complement(power_class(u))),singleton(identity_relation)) -> .
% 299.85/300.44  250955[14:Rew:249197.0,250003.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),omega)** equal(symmetrization_of(complement(power_class(u))),singleton(identity_relation)) -> .
% 299.85/300.44  250956[20:Rew:249197.0,250018.0] || equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),universal_class)** equal(symmetrization_of(complement(power_class(u))),symmetrization_of(identity_relation)) -> .
% 299.85/300.44  250957[14:Rew:249197.0,250019.1] || equal(symmetric_difference(universal_class,symmetrization_of(complement(power_class(u)))),omega) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250958[5:Rew:249197.0,250020.1] || equal(symmetric_difference(universal_class,symmetrization_of(complement(power_class(u)))),universal_class) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250959[5:Rew:249197.0,250021.1] || equal(symmetric_difference(universal_class,symmetrization_of(complement(power_class(u)))),universal_class) -> member(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250960[5:Rew:249197.0,250022.1] || equal(union(symmetrization_of(complement(power_class(u))),identity_relation),identity_relation) -> member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250961[5:Rew:249197.0,250023.1] || equal(union(symmetrization_of(complement(power_class(u))),identity_relation),identity_relation) -> member(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))*.
% 299.85/300.44  250962[20:Rew:249197.0,250024.0] || subclass(universal_class,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* subclass(symmetrization_of(identity_relation),symmetrization_of(complement(power_class(u)))) -> .
% 299.85/300.44  250963[7:Rew:249197.0,250025.1] || subclass(singleton(identity_relation),symmetrization_of(complement(power_class(u)))) member(identity_relation,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> .
% 299.85/300.44  250964[5:Rew:249197.0,250066.1] || subclass(universal_class,complement(successor(complement(power_class(u))))) -> member(power_class(identity_relation),intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250965[0:Rew:249197.0,250067.1] || subclass(universal_class,complement(successor(complement(power_class(u))))) -> member(singleton(v),intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250966[0:Rew:249197.0,250070.1] || equal(complement(successor(complement(power_class(u)))),universal_class) well_ordering(universal_class,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.44  250967[5:Rew:249197.0,250073.1] || equal(complement(complement(successor(complement(power_class(u))))),identity_relation) -> member(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250968[5:Rew:249197.0,250074.1] || equal(complement(complement(successor(complement(power_class(u))))),identity_relation) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250969[7:Rew:249197.0,250075.1] || equal(complement(successor(complement(power_class(u)))),singleton(identity_relation)) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250970[5:Rew:249197.0,250078.1] || equal(complement(successor(complement(power_class(u)))),identity_relation) subclass(domain_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.44  250971[5:Rew:249197.0,250079.1] || equal(complement(successor(complement(power_class(u)))),identity_relation) member(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.44  250972[5:Rew:249197.0,250080.1] || equal(complement(successor(complement(power_class(u)))),identity_relation) subclass(universal_class,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.44  250973[5:Rew:249197.0,250081.1] || equal(complement(successor(complement(power_class(u)))),identity_relation) equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),universal_class)** -> .
% 299.85/300.44  250974[5:Rew:249197.0,250082.1] || equal(complement(successor(complement(power_class(u)))),identity_relation) member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.44  250975[0:Rew:249197.0,250084.0] || subclass(universal_class,image(element_relation,successor(complement(power_class(u))))) member(omega,complement(image(element_relation,successor(complement(power_class(u))))))* -> .
% 299.85/300.44  250976[14:Rew:249197.0,250112.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),singleton(identity_relation))** equal(successor(complement(power_class(u))),omega) -> .
% 299.85/300.44  250977[5:Rew:249197.0,250119.0] || equal(symmetrization_of(intersection(power_class(u),complement(singleton(complement(power_class(u)))))),identity_relation)** subclass(successor(complement(power_class(u))),identity_relation) -> .
% 299.85/300.44  250978[5:Rew:249197.0,250120.1] || subclass(successor(complement(power_class(u))),identity_relation) -> equal(complement(symmetrization_of(intersection(power_class(u),complement(singleton(complement(power_class(u))))))),identity_relation)**.
% 299.85/300.44  250979[5:Rew:249197.0,250121.1] || subclass(successor(complement(power_class(u))),identity_relation) subclass(successor(intersection(power_class(u),complement(singleton(complement(power_class(u)))))),identity_relation)* -> .
% 299.85/300.44  250980[5:Rew:249197.0,250122.0] || equal(successor(intersection(power_class(u),complement(singleton(complement(power_class(u)))))),identity_relation)** subclass(successor(complement(power_class(u))),identity_relation) -> .
% 299.85/300.44  250981[5:Rew:249197.0,250123.1] || subclass(successor(complement(power_class(u))),identity_relation) -> equal(complement(successor(intersection(power_class(u),complement(singleton(complement(power_class(u))))))),identity_relation)**.
% 299.85/300.44  250982[7:Rew:249197.0,250127.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),universal_class)** equal(successor(complement(power_class(u))),singleton(identity_relation)) -> .
% 299.85/300.44  250983[14:Rew:249197.0,250128.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),omega)** equal(successor(complement(power_class(u))),singleton(identity_relation)) -> .
% 299.85/300.44  250984[20:Rew:249197.0,250143.0] || equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),universal_class)** equal(successor(complement(power_class(u))),symmetrization_of(identity_relation)) -> .
% 299.85/300.44  250985[14:Rew:249197.0,250144.1] || equal(symmetric_difference(universal_class,successor(complement(power_class(u)))),omega) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250986[5:Rew:249197.0,250145.1] || equal(symmetric_difference(universal_class,successor(complement(power_class(u)))),universal_class) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250987[5:Rew:249197.0,250146.1] || equal(symmetric_difference(universal_class,successor(complement(power_class(u)))),universal_class) -> member(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250988[5:Rew:249197.0,250147.1] || equal(union(successor(complement(power_class(u))),identity_relation),identity_relation) -> member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250989[5:Rew:249197.0,250148.1] || equal(union(successor(complement(power_class(u))),identity_relation),identity_relation) -> member(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))*.
% 299.85/300.44  250990[20:Rew:249197.0,250149.0] || subclass(universal_class,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* subclass(symmetrization_of(identity_relation),successor(complement(power_class(u)))) -> .
% 299.85/300.44  250991[7:Rew:249197.0,250150.1] || subclass(singleton(identity_relation),successor(complement(power_class(u)))) member(identity_relation,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> .
% 299.85/300.44  251181[0:Rew:44.0,249161.1,27.0,249161.1,44.0,249161.0,27.0,249161.0] || member(not_subclass_element(image(element_relation,successor(u)),v),complement(image(element_relation,successor(u))))* -> subclass(image(element_relation,successor(u)),v).
% 299.85/300.44  251182[0:Rew:114.0,249160.1,27.0,249160.1,114.0,249160.0,27.0,249160.0] || member(not_subclass_element(image(element_relation,symmetrization_of(u)),v),complement(image(element_relation,symmetrization_of(u))))* -> subclass(image(element_relation,symmetrization_of(u)),v).
% 299.85/300.44  252539[10:Rew:251767.0,251814.2] || subclass(complement(power_class(universal_class)),u)* well_ordering(v,u)* -> member(least(v,complement(power_class(universal_class))),complement(power_class(universal_class)))*.
% 299.85/300.44  251937[10:Rew:251767.0,230562.1] || well_ordering(u,power_class(universal_class)) -> equal(segment(u,regular(complement(power_class(universal_class))),least(u,regular(complement(power_class(universal_class))))),identity_relation)**.
% 299.85/300.44  252540[11:Rew:251768.0,251995.2] || subclass(complement(power_class(identity_relation)),u)* well_ordering(v,u)* -> member(least(v,complement(power_class(identity_relation))),complement(power_class(identity_relation)))*.
% 299.85/300.44  252148[11:Rew:251768.0,230551.1] || well_ordering(u,power_class(identity_relation)) -> equal(segment(u,regular(complement(power_class(identity_relation))),least(u,regular(complement(power_class(identity_relation))))),identity_relation)**.
% 299.85/300.44  252151[5:Rew:251768.0,245887.1] || equal(identity_relation,u) subclass(omega,complement(power_class(identity_relation)))* member(v,power_class(u))* -> equal(integer_of(v),identity_relation).
% 299.85/300.44  252296[0:Rew:251760.0,251006.1] || subclass(power_class(complement(power_class(u))),complement(v))* -> equal(union(v,image(element_relation,power_class(u))),image(element_relation,power_class(u))).
% 299.85/300.44  252649[0:SpR:249200.0,222089.0] ||  -> equal(intersection(intersection(complement(u),power_class(v)),complement(union(u,complement(power_class(v))))),complement(union(u,complement(power_class(v)))))**.
% 299.85/300.44  252688[5:SpR:249200.0,230113.0] ||  -> subclass(regular(intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))* equal(intersection(complement(u),power_class(v)),identity_relation).
% 299.85/300.44  252696[0:SpR:249200.0,249200.0] ||  -> equal(union(intersection(complement(u),power_class(v)),complement(power_class(w))),complement(intersection(union(u,complement(power_class(v))),power_class(w))))**.
% 299.85/300.44  252712[5:SpR:249200.0,5585.1] ||  -> equal(symmetric_difference(complement(u),power_class(v)),identity_relation) member(regular(symmetric_difference(complement(u),power_class(v))),union(u,complement(power_class(v))))*.
% 299.85/300.44  252794[5:SpL:249200.0,113722.0] || subclass(intersection(complement(u),power_class(v)),union(u,complement(power_class(v))))* -> equal(intersection(complement(u),power_class(v)),identity_relation).
% 299.85/300.44  252913[5:Rew:249200.0,252800.1] || subclass(union(u,complement(power_class(v))),intersection(complement(u),power_class(v)))* -> equal(union(u,complement(power_class(v))),identity_relation).
% 299.85/300.44  252914[5:Rew:249200.0,252792.1] || subclass(intersection(complement(u),power_class(v)),union(u,complement(power_class(v))))* -> subclass(universal_class,union(u,complement(power_class(v)))).
% 299.85/300.44  252979[0:SpR:249208.0,222089.0] ||  -> equal(intersection(intersection(power_class(u),complement(v)),complement(union(complement(power_class(u)),v))),complement(union(complement(power_class(u)),v)))**.
% 299.85/300.44  253018[5:SpR:249208.0,230113.0] ||  -> subclass(regular(intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))* equal(intersection(power_class(u),complement(v)),identity_relation).
% 299.85/300.44  253026[0:SpR:249208.0,249200.0] ||  -> equal(union(intersection(power_class(u),complement(v)),complement(power_class(w))),complement(intersection(union(complement(power_class(u)),v),power_class(w))))**.
% 299.85/300.44  253039[0:SpR:249208.0,249208.0] ||  -> equal(union(complement(power_class(u)),intersection(power_class(v),complement(w))),complement(intersection(power_class(u),union(complement(power_class(v)),w))))**.
% 299.85/300.44  253043[5:SpR:249208.0,5585.1] ||  -> equal(symmetric_difference(power_class(u),complement(v)),identity_relation) member(regular(symmetric_difference(power_class(u),complement(v))),union(complement(power_class(u)),v))*.
% 299.85/300.44  253057[0:SpR:249200.0,249208.0] ||  -> equal(union(complement(power_class(u)),intersection(complement(v),power_class(w))),complement(intersection(power_class(u),union(v,complement(power_class(w))))))**.
% 299.85/300.44  253127[5:SpL:249208.0,113722.0] || subclass(intersection(power_class(u),complement(v)),union(complement(power_class(u)),v))* -> equal(intersection(power_class(u),complement(v)),identity_relation).
% 299.85/300.44  253245[5:Rew:249208.0,253133.1] || subclass(union(complement(power_class(u)),v),intersection(power_class(u),complement(v)))* -> equal(union(complement(power_class(u)),v),identity_relation).
% 299.85/300.44  253246[5:Rew:249208.0,253125.1] || subclass(intersection(power_class(u),complement(v)),union(complement(power_class(u)),v))* -> subclass(universal_class,union(complement(power_class(u)),v)).
% 299.85/300.44  253440[17:Res:195387.1,249201.0] || subclass(domain_relation,rotate(image(element_relation,power_class(u)))) member(ordered_pair(ordered_pair(v,identity_relation),w),power_class(complement(power_class(u))))* -> .
% 299.85/300.44  253444[17:Res:195388.1,249201.0] || subclass(domain_relation,flip(image(element_relation,power_class(u)))) member(ordered_pair(ordered_pair(v,w),identity_relation),power_class(complement(power_class(u))))* -> .
% 299.85/300.44  253447[0:Res:766.2,249201.0] || subclass(u,image(element_relation,power_class(v))) member(not_subclass_element(u,w),power_class(complement(power_class(v))))* -> subclass(u,w).
% 299.85/300.44  253450[0:Res:764.2,249201.0] || member(u,universal_class) subclass(universal_class,image(element_relation,power_class(v))) member(power_class(u),power_class(complement(power_class(v))))* -> .
% 299.85/300.44  253453[0:Res:765.2,249201.0] || member(u,universal_class) subclass(universal_class,image(element_relation,power_class(v))) member(sum_class(u),power_class(complement(power_class(v))))* -> .
% 299.85/300.44  253462[0:Res:783.1,249201.0] || subclass(ordered_pair(u,v),image(element_relation,power_class(w))) member(unordered_pair(u,singleton(v)),power_class(complement(power_class(w))))* -> .
% 299.85/300.44  253882[17:Res:195285.2,3924.0] || member(u,universal_class) equal(compose(v,u),identity_relation)** subclass(compose_class(v),w)* well_ordering(universal_class,w) -> .
% 299.85/300.44  254013[5:SpR:145868.1,31909.2] || subclass(inverse(u),u)* asymmetric(u,v) equal(compose(identity_relation,identity_relation),identity_relation) -> transitive(inverse(u),v)*.
% 299.85/300.44  254147[7:SpL:251758.0,149331.0] || subclass(universal_class,intersection(image(element_relation,singleton(identity_relation)),complement(u)))* member(omega,union(power_class(complement(singleton(identity_relation))),u)) -> .
% 299.85/300.44  254193[7:SpL:251758.0,149331.0] || subclass(universal_class,intersection(complement(u),image(element_relation,singleton(identity_relation))))* member(omega,union(u,power_class(complement(singleton(identity_relation))))) -> .
% 299.85/300.44  254194[7:SpL:251758.0,588.0] || member(u,intersection(image(element_relation,singleton(identity_relation)),complement(v)))* member(u,union(power_class(complement(singleton(identity_relation))),v)) -> .
% 299.85/300.44  254203[7:SpL:251758.0,588.0] || member(u,intersection(complement(v),image(element_relation,singleton(identity_relation))))* member(u,union(v,power_class(complement(singleton(identity_relation))))) -> .
% 299.85/300.44  254403[5:SpL:251759.0,149331.0] || subclass(universal_class,intersection(image(element_relation,symmetrization_of(identity_relation)),complement(u)))* member(omega,union(power_class(complement(inverse(identity_relation))),u)) -> .
% 299.85/300.44  254449[5:SpL:251759.0,149331.0] || subclass(universal_class,intersection(complement(u),image(element_relation,symmetrization_of(identity_relation))))* member(omega,union(u,power_class(complement(inverse(identity_relation))))) -> .
% 299.85/300.44  254450[5:SpL:251759.0,588.0] || member(u,intersection(image(element_relation,symmetrization_of(identity_relation)),complement(v)))* member(u,union(power_class(complement(inverse(identity_relation))),v)) -> .
% 299.85/300.44  254459[5:SpL:251759.0,588.0] || member(u,intersection(complement(v),image(element_relation,symmetrization_of(identity_relation))))* member(u,union(v,power_class(complement(inverse(identity_relation))))) -> .
% 299.85/300.44  254548[5:SpL:145868.1,38768.1] || subclass(inverse(u),u)* asymmetric(u,v) transitive(inverse(u),v)* -> equal(compose(identity_relation,identity_relation),identity_relation).
% 299.85/300.44  254847[7:Res:254821.0,126.0] || subclass(successor(singleton(identity_relation)),u)* well_ordering(v,u)* -> member(least(v,successor(singleton(identity_relation))),successor(singleton(identity_relation)))*.
% 299.85/300.44  254862[7:Res:254823.0,126.0] || subclass(symmetrization_of(singleton(identity_relation)),u)* well_ordering(v,u)* -> member(least(v,symmetrization_of(singleton(identity_relation))),symmetrization_of(singleton(identity_relation)))*.
% 299.85/300.44  254891[5:SpL:22914.0,20350.1] || member(u,universal_class) subclass(rest_relation,symmetric_difference(complement(v),universal_class)) -> member(ordered_pair(u,rest_of(u)),union(v,identity_relation))*.
% 299.85/300.44  254893[0:SpL:160.0,20350.1] || member(u,universal_class) subclass(rest_relation,symmetric_difference(v,w)) -> member(ordered_pair(u,rest_of(u)),complement(intersection(v,w)))*.
% 299.85/300.44  255116[0:Rew:249204.0,255080.0,249204.0,255080.0] || subclass(universal_class,intersection(power_class(u),power_class(v))) member(unordered_pair(w,x),complement(intersection(power_class(u),power_class(v))))* -> .
% 299.85/300.44  255373[11:Res:207952.1,7570.0] || equal(identity_relation,u) subclass(universal_class,v)* subclass(v,w)* -> member(power_class(regular(complement(power_class(u)))),w)*.
% 299.85/300.44  256134[5:Res:608.1,8097.1] || member(regular(u),cantor(v))* subclass(u,regular(domain_of(v))) -> equal(u,identity_relation) equal(domain_of(v),identity_relation).
% 299.85/300.44  256227[5:Obv:256174.2] || subclass(u,v) subclass(intersection(w,u),regular(v))* -> equal(intersection(w,u),identity_relation) equal(v,identity_relation).
% 299.85/300.44  256228[5:Obv:256169.2] || subclass(u,v) subclass(intersection(u,w),regular(v))* -> equal(intersection(u,w),identity_relation) equal(v,identity_relation).
% 299.85/300.44  256241[5:Obv:256173.1] || subclass(intersection(intersection(u,v),w),regular(u))* -> equal(intersection(intersection(u,v),w),identity_relation) equal(u,identity_relation).
% 299.85/300.44  256242[5:Obv:256172.1] || subclass(intersection(intersection(u,v),w),regular(v))* -> equal(intersection(intersection(u,v),w),identity_relation) equal(v,identity_relation).
% 299.85/300.44  256243[5:Obv:256171.1] || subclass(intersection(u,intersection(v,w)),regular(v))* -> equal(intersection(u,intersection(v,w)),identity_relation) equal(v,identity_relation).
% 299.85/300.44  256244[5:Obv:256170.1] || subclass(intersection(u,intersection(v,w)),regular(w))* -> equal(intersection(u,intersection(v,w)),identity_relation) equal(w,identity_relation).
% 299.85/300.44  256263[15:SoR:256101.0,4792.2] single_valued_class(complement(cross_product(singleton(singleton(u)),universal_class))) || equal(complement(cross_product(singleton(singleton(u)),universal_class)),cross_product(universal_class,universal_class))** -> .
% 299.85/300.44  256480[5:SpR:233494.0,7615.2] || member(image(u,identity_relation),universal_class) subclass(universal_class,symmetric_difference(v,w)) -> member(apply(u,universal_class),union(v,w))*.
% 299.85/300.44  256481[5:SpR:253274.0,7615.2] || member(complement(power_class(universal_class)),universal_class) subclass(universal_class,symmetric_difference(u,v)) -> member(apply(element_relation,universal_class),union(u,v))*.
% 299.85/300.44  256591[11:Res:207952.1,7605.0] || equal(identity_relation,u) subclass(universal_class,v)* subclass(v,w)* -> member(sum_class(regular(complement(power_class(u)))),w)*.
% 299.85/300.44  256871[17:Res:195614.1,251410.0] || subclass(domain_relation,intersection(power_class(u),complement(v))) member(singleton(singleton(singleton(identity_relation))),union(complement(power_class(u)),v))* -> .
% 299.85/300.44  256873[15:Res:192110.1,251410.0] || equal(intersection(power_class(u),complement(v)),singleton(singleton(identity_relation))) member(singleton(identity_relation),union(complement(power_class(u)),v))* -> .
% 299.85/300.44  256879[11:Res:207964.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(regular(complement(power_class(identity_relation))),union(complement(power_class(u)),v))* -> .
% 299.85/300.44  256880[10:Res:208146.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(regular(complement(power_class(universal_class))),union(complement(power_class(u)),v))* -> .
% 299.85/300.44  256881[9:Res:207805.1,251410.0] || subclass(universal_class,intersection(power_class(u),complement(v))) member(regular(complement(symmetrization_of(identity_relation))),union(complement(power_class(u)),v))* -> .
% 299.85/300.44  256882[20:Res:214397.1,251410.0] || subclass(symmetrization_of(identity_relation),intersection(power_class(u),complement(v))) member(regular(symmetrization_of(identity_relation)),union(complement(power_class(u)),v))* -> .
% 299.85/300.44  256883[20:Res:212352.1,251410.0] || subclass(inverse(identity_relation),intersection(power_class(u),complement(v))) member(regular(symmetrization_of(identity_relation)),union(complement(power_class(u)),v))* -> .
% 299.85/300.44  257063[17:Res:195614.1,251419.0] || subclass(domain_relation,intersection(complement(u),power_class(v))) member(singleton(singleton(singleton(identity_relation))),union(u,complement(power_class(v))))* -> .
% 299.85/300.44  257065[15:Res:192110.1,251419.0] || equal(intersection(complement(u),power_class(v)),singleton(singleton(identity_relation))) member(singleton(identity_relation),union(u,complement(power_class(v))))* -> .
% 299.85/300.44  257071[11:Res:207964.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(regular(complement(power_class(identity_relation))),union(u,complement(power_class(v))))* -> .
% 299.85/300.44  257072[10:Res:208146.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(regular(complement(power_class(universal_class))),union(u,complement(power_class(v))))* -> .
% 299.85/300.44  257073[9:Res:207805.1,251419.0] || subclass(universal_class,intersection(complement(u),power_class(v))) member(regular(complement(symmetrization_of(identity_relation))),union(u,complement(power_class(v))))* -> .
% 299.85/300.44  257074[20:Res:214397.1,251419.0] || subclass(symmetrization_of(identity_relation),intersection(complement(u),power_class(v))) member(regular(symmetrization_of(identity_relation)),union(u,complement(power_class(v))))* -> .
% 299.85/300.44  257075[20:Res:212352.1,251419.0] || subclass(inverse(identity_relation),intersection(complement(u),power_class(v))) member(regular(symmetrization_of(identity_relation)),union(u,complement(power_class(v))))* -> .
% 299.85/300.44  257182[5:Res:203299.1,20569.2] || equal(complement(union(u,v)),identity_relation)** member(singleton(w),complement(v))* member(singleton(w),complement(u))* -> .
% 299.85/300.44  257183[5:Res:201827.1,20569.2] || subclass(complement(union(u,v)),identity_relation)* member(singleton(w),complement(v))* member(singleton(w),complement(u))* -> .
% 299.85/300.44  257199[5:Res:223091.1,20569.2] || equal(complement(union(u,v)),identity_relation)** member(power_class(identity_relation),complement(v))* member(power_class(identity_relation),complement(u))* -> .
% 299.85/300.44  257286[0:Rew:249204.0,257171.1,249204.0,257171.0] || member(u,power_class(v)) member(u,power_class(w)) member(u,complement(intersection(power_class(w),power_class(v))))* -> .
% 299.85/300.44  257425[5:SpR:47789.0,783.1] || subclass(ordered_pair(u,v),w) -> equal(regular(ordered_pair(u,v)),singleton(u)) member(regular(ordered_pair(u,v)),w)*.
% 299.85/300.44  257503[5:SpL:47789.0,1002.1] || subclass(universal_class,complement(u)) member(regular(ordered_pair(v,w)),u)* -> equal(regular(ordered_pair(v,w)),singleton(v)).
% 299.85/300.44  257542[5:MRR:257541.2,257464.0] || equal(singleton(u),v) -> equal(regular(ordered_pair(v,u)),singleton(v)) equal(regular(regular(ordered_pair(v,u))),v)**.
% 299.85/300.44  258043[5:Res:8059.2,25.1] || well_ordering(u,universal_class) member(least(u,intersection(complement(v),w)),v)* -> equal(intersection(complement(v),w),identity_relation).
% 299.85/300.44  258064[5:Res:8059.2,29473.0] || well_ordering(u,universal_class) -> equal(intersection(domain_of(v),w),identity_relation) member(least(u,intersection(domain_of(v),w)),cantor(v))*.
% 299.85/300.44  258076[5:Res:8059.2,222174.0] || well_ordering(u,universal_class) -> equal(intersection(symmetrization_of(identity_relation),v),identity_relation) member(least(u,intersection(symmetrization_of(identity_relation),v)),inverse(identity_relation))*.
% 299.85/300.44  258110[5:Rew:160.0,257970.1] || well_ordering(u,universal_class) -> equal(symmetric_difference(v,w),identity_relation) member(least(u,symmetric_difference(v,w)),complement(intersection(v,w)))*.
% 299.85/300.44  258237[5:Res:8060.2,25.1] || well_ordering(u,universal_class) member(least(u,intersection(v,complement(w))),w)* -> equal(intersection(v,complement(w)),identity_relation).
% 299.85/300.44  258258[5:Res:8060.2,29473.0] || well_ordering(u,universal_class) -> equal(intersection(v,domain_of(w)),identity_relation) member(least(u,intersection(v,domain_of(w))),cantor(w))*.
% 299.85/300.44  258270[5:Res:8060.2,222174.0] || well_ordering(u,universal_class) -> equal(intersection(v,symmetrization_of(identity_relation)),identity_relation) member(least(u,intersection(v,symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.85/300.44  258366[5:Res:8057.3,119659.0] || well_ordering(u,universal_class) subclass(v,symmetric_difference(universal_class,w)) member(least(u,v),w)* -> equal(v,identity_relation).
% 299.85/300.44  258367[5:Res:8057.3,119626.0] || well_ordering(u,universal_class) subclass(v,symmetric_difference(universal_class,w)) -> equal(v,identity_relation) member(least(u,v),complement(w))*.
% 299.85/300.44  258370[5:Res:8057.3,158.0] || well_ordering(u,universal_class) subclass(v,omega) -> equal(v,identity_relation) equal(integer_of(least(u,v)),least(u,v))**.
% 299.85/300.44  258379[5:Res:8057.3,610.0] || well_ordering(u,universal_class) subclass(v,cantor(inverse(w))) -> equal(v,identity_relation) member(least(u,v),range_of(w))*.
% 299.85/300.44  258383[5:Res:8057.3,596.0] || well_ordering(u,universal_class) subclass(v,restrict(w,x,y))* -> equal(v,identity_relation) member(least(u,v),w)*.
% 299.85/300.44  258391[5:Res:8057.3,40810.0] || well_ordering(u,universal_class) subclass(v,rest_of(least(u,v)))* subclass(universal_class,complement(element_relation)) -> equal(v,identity_relation).
% 299.85/300.44  258532[0:SpL:29.0,8164.1] || member(u,symmetric_difference(v,cross_product(w,x)))* subclass(complement(restrict(v,w,x)),y)* -> member(u,y)*.
% 299.85/300.44  258544[0:SpL:30.0,8164.1] || member(u,symmetric_difference(cross_product(v,w),x))* subclass(complement(restrict(x,v,w)),y)* -> member(u,y)*.
% 299.85/300.44  258547[5:SpL:22914.0,8164.1] || member(u,symmetric_difference(union(v,identity_relation),universal_class))* subclass(complement(symmetric_difference(complement(v),universal_class)),w)* -> member(u,w)*.
% 299.85/300.44  258569[5:SpL:146076.0,8164.1] || member(u,symmetric_difference(range_of(v),cantor(inverse(v))))* subclass(complement(cantor(inverse(v))),w)* -> member(u,w)*.
% 299.85/300.44  258715[5:Rew:203322.1,258601.1] || equal(intersection(u,v),identity_relation) member(w,union(u,v))* subclass(universal_class,x) -> member(w,x)*.
% 299.85/300.44  258605[0:SpL:249200.0,8164.1] || member(u,symmetric_difference(complement(v),power_class(w)))* subclass(union(v,complement(power_class(w))),x)* -> member(u,x)*.
% 299.85/300.44  258606[0:SpL:249208.0,8164.1] || member(u,symmetric_difference(power_class(v),complement(w)))* subclass(union(complement(power_class(v)),w),x)* -> member(u,x)*.
% 299.85/300.44  258615[0:Res:86994.1,8164.1] || equal(cantor(inverse(u)),complement(intersection(v,w)))* member(x,symmetric_difference(v,w))* -> member(x,range_of(u))*.
% 299.85/300.44  259125[5:Res:256424.0,8157.0] ||  -> equal(singleton(complement(symmetric_difference(complement(u),complement(v)))),identity_relation) member(complement(symmetric_difference(complement(u),complement(v))),union(u,v))*.
% 299.85/300.44  259131[5:Res:256424.0,9.0] ||  -> equal(singleton(complement(unordered_pair(u,v))),identity_relation)** equal(complement(unordered_pair(u,v)),v) equal(complement(unordered_pair(u,v)),u).
% 299.85/300.44  259171[5:Rew:249208.0,259075.1] ||  -> member(union(complement(power_class(u)),v),intersection(power_class(u),complement(v)))* equal(singleton(union(complement(power_class(u)),v)),identity_relation).
% 299.85/300.44  259172[5:Rew:249200.0,259074.1] ||  -> member(union(u,complement(power_class(v))),intersection(complement(u),power_class(v)))* equal(singleton(union(u,complement(power_class(v)))),identity_relation).
% 299.85/300.44  259186[7:Res:259157.0,126.0] || subclass(complement(singleton(identity_relation)),u)* well_ordering(v,u)* -> member(least(v,complement(singleton(identity_relation))),complement(singleton(identity_relation)))*.
% 299.85/300.44  259367[15:Res:30856.1,199206.0] || member(singleton(identity_relation),union(u,v)) well_ordering(universal_class,intersection(u,v)) -> member(singleton(identity_relation),symmetric_difference(u,v))*.
% 299.85/300.44  259571[0:Rew:32843.2,259570.2] || equal(u,v) member(v,w) member(v,x) -> subclass(unordered_pair(v,u),intersection(x,w))*.
% 299.85/300.44  259684[0:Obv:259644.2] || member(u,v) subclass(unordered_pair(w,u),omega)* -> subclass(unordered_pair(w,u),v)* equal(integer_of(w),w).
% 299.85/300.44  259795[0:Obv:259753.2] || member(u,v) subclass(unordered_pair(u,w),omega)* -> subclass(unordered_pair(u,w),v)* equal(integer_of(w),w).
% 299.85/300.44  260055[0:Res:3728.1,8430.0] || equal(sum_class(u),u) subclass(u,v) -> subclass(sum_class(u),w) member(not_subclass_element(sum_class(u),w),v)*.
% 299.85/300.44  260056[5:Res:8736.1,8430.0] || equal(sum_class(u),identity_relation) subclass(u,v) -> subclass(sum_class(u),w) member(not_subclass_element(sum_class(u),w),v)*.
% 299.85/300.44  260058[0:Res:49.1,8430.0] inductive(u) || subclass(u,v) -> subclass(image(successor_relation,u),w) member(not_subclass_element(image(successor_relation,u),w),v)*.
% 299.85/300.44  260061[0:Res:86994.1,8430.0] || equal(cantor(inverse(u)),v)* subclass(range_of(u),w)* -> subclass(v,x) member(not_subclass_element(v,x),w)*.
% 299.85/300.44  260096[0:Res:227180.0,8430.0] || subclass(complement(cantor(inverse(u))),v) -> subclass(complement(range_of(u)),w) member(not_subclass_element(complement(range_of(u)),w),v)*.
% 299.85/300.44  260133[9:Res:230401.0,8430.0] || subclass(symmetrization_of(identity_relation),u) -> subclass(regular(complement(inverse(identity_relation))),v) member(not_subclass_element(regular(complement(inverse(identity_relation))),v),u)*.
% 299.85/300.44  260134[10:Res:251794.0,8430.0] || subclass(power_class(universal_class),u) -> subclass(regular(complement(power_class(universal_class))),v) member(not_subclass_element(regular(complement(power_class(universal_class))),v),u)*.
% 299.85/300.44  260135[11:Res:251972.0,8430.0] || subclass(power_class(identity_relation),u) -> subclass(regular(complement(power_class(identity_relation))),v) member(not_subclass_element(regular(complement(power_class(identity_relation))),v),u)*.
% 299.85/300.44  260321[0:Res:8213.2,119659.0] || subclass(u,symmetric_difference(universal_class,v)) member(not_subclass_element(intersection(w,u),x),v)* -> subclass(intersection(w,u),x).
% 299.85/300.44  260322[0:Res:8213.2,119626.0] || subclass(u,symmetric_difference(universal_class,v)) -> subclass(intersection(w,u),x) member(not_subclass_element(intersection(w,u),x),complement(v))*.
% 299.85/300.44  260334[0:Res:8213.2,610.0] || subclass(u,cantor(inverse(v))) -> subclass(intersection(w,u),x) member(not_subclass_element(intersection(w,u),x),range_of(v))*.
% 299.85/300.44  260338[0:Res:8213.2,596.0] || subclass(u,restrict(v,w,x))* -> subclass(intersection(y,u),z) member(not_subclass_element(intersection(y,u),z),v)*.
% 299.85/300.44  260346[0:Res:8213.2,40810.0] || subclass(u,rest_of(not_subclass_element(intersection(v,u),w)))* subclass(universal_class,complement(element_relation)) -> subclass(intersection(v,u),w).
% 299.85/300.44  260642[5:Res:260484.1,3692.1] inductive(cantor(u)) || subclass(universal_class,v) well_ordering(w,v)* -> member(least(w,cantor(u)),cantor(u))*.
% 299.85/300.44  260643[5:Res:260484.1,5215.0] || subclass(universal_class,u) well_ordering(v,u)* -> equal(cantor(w),identity_relation) member(least(v,cantor(w)),cantor(w))*.
% 299.85/300.44  260706[5:Res:260493.1,5316.0] || subclass(universal_class,u)* subclass(u,v)* -> equal(symmetric_difference(universal_class,w),identity_relation) member(regular(symmetric_difference(universal_class,w)),v)*.
% 299.85/300.44  260722[5:Res:260493.1,8435.0] || subclass(universal_class,restrict(u,v,w))* -> subclass(symmetric_difference(universal_class,x),y) member(not_subclass_element(symmetric_difference(universal_class,x),y),u)*.
% 299.85/300.44  260881[0:Res:8216.1,25.1] || member(not_subclass_element(intersection(u,intersection(v,complement(w))),x),w)* -> subclass(intersection(u,intersection(v,complement(w))),x).
% 299.85/300.44  260902[5:Res:8216.1,29473.0] ||  -> subclass(intersection(u,intersection(v,domain_of(w))),x) member(not_subclass_element(intersection(u,intersection(v,domain_of(w))),x),cantor(w))*.
% 299.85/300.44  260914[5:Res:8216.1,222174.0] ||  -> subclass(intersection(u,intersection(v,symmetrization_of(identity_relation))),w) member(not_subclass_element(intersection(u,intersection(v,symmetrization_of(identity_relation))),w),inverse(identity_relation))*.
% 299.85/300.44  261287[0:Res:261060.0,2957.1] single_valued_class(intersection(u,restrict(cross_product(universal_class,universal_class),v,w))) ||  -> function(intersection(u,restrict(cross_product(universal_class,universal_class),v,w)))*.
% 299.85/300.44  261291[5:Res:261060.0,5325.0] ||  -> equal(intersection(u,restrict(singleton(v),w,x)),identity_relation) equal(regular(intersection(u,restrict(singleton(v),w,x))),v)**.
% 299.85/300.44  261451[0:Res:8215.1,25.1] || member(not_subclass_element(intersection(u,intersection(complement(v),w)),x),v)* -> subclass(intersection(u,intersection(complement(v),w)),x).
% 299.85/300.44  261472[5:Res:8215.1,29473.0] ||  -> subclass(intersection(u,intersection(domain_of(v),w)),x) member(not_subclass_element(intersection(u,intersection(domain_of(v),w)),x),cantor(v))*.
% 299.85/300.44  261484[5:Res:8215.1,222174.0] ||  -> subclass(intersection(u,intersection(symmetrization_of(identity_relation),v)),w) member(not_subclass_element(intersection(u,intersection(symmetrization_of(identity_relation),v)),w),inverse(identity_relation))*.
% 299.85/300.44  261601[0:Rew:160.0,261354.0] ||  -> subclass(intersection(u,symmetric_difference(v,w)),x) member(not_subclass_element(intersection(u,symmetric_difference(v,w)),x),complement(intersection(v,w)))*.
% 299.85/300.44  261836[5:Res:261666.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(intersection(v,symmetrization_of(identity_relation)),w) member(not_subclass_element(intersection(v,symmetrization_of(identity_relation)),w),u)*.
% 299.85/300.44  261841[5:Res:261666.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,intersection(v,symmetrization_of(identity_relation)),least(u,intersection(v,symmetrization_of(identity_relation)))),identity_relation)**.
% 299.85/300.44  261965[0:Res:8307.2,119659.0] || subclass(u,symmetric_difference(universal_class,v)) member(not_subclass_element(intersection(u,w),x),v)* -> subclass(intersection(u,w),x).
% 299.85/300.44  261966[0:Res:8307.2,119626.0] || subclass(u,symmetric_difference(universal_class,v)) -> subclass(intersection(u,w),x) member(not_subclass_element(intersection(u,w),x),complement(v))*.
% 299.85/300.44  261978[0:Res:8307.2,610.0] || subclass(u,cantor(inverse(v))) -> subclass(intersection(u,w),x) member(not_subclass_element(intersection(u,w),x),range_of(v))*.
% 299.85/300.44  261982[0:Res:8307.2,596.0] || subclass(u,restrict(v,w,x))* -> subclass(intersection(u,y),z) member(not_subclass_element(intersection(u,y),z),v)*.
% 299.85/300.44  261990[0:Res:8307.2,40810.0] || subclass(u,rest_of(not_subclass_element(intersection(u,v),w)))* subclass(universal_class,complement(element_relation)) -> subclass(intersection(u,v),w).
% 299.85/300.44  262157[5:Res:261657.0,5316.0] || subclass(u,v) -> equal(intersection(w,complement(complement(u))),identity_relation) member(regular(intersection(w,complement(complement(u)))),v)*.
% 299.85/300.44  262168[5:Res:261657.0,5321.0] ||  -> equal(intersection(u,complement(complement(intersection(v,w)))),identity_relation) member(regular(intersection(u,complement(complement(intersection(v,w))))),v)*.
% 299.85/300.44  262169[5:Res:261657.0,5320.0] ||  -> equal(intersection(u,complement(complement(intersection(v,w)))),identity_relation) member(regular(intersection(u,complement(complement(intersection(v,w))))),w)*.
% 299.85/300.44  262355[0:Res:8310.1,25.1] || member(not_subclass_element(intersection(intersection(u,complement(v)),w),x),v)* -> subclass(intersection(intersection(u,complement(v)),w),x).
% 299.85/300.44  262376[5:Res:8310.1,29473.0] ||  -> subclass(intersection(intersection(u,domain_of(v)),w),x) member(not_subclass_element(intersection(intersection(u,domain_of(v)),w),x),cantor(v))*.
% 299.85/300.44  262388[5:Res:8310.1,222174.0] ||  -> subclass(intersection(intersection(u,symmetrization_of(identity_relation)),v),w) member(not_subclass_element(intersection(intersection(u,symmetrization_of(identity_relation)),v),w),inverse(identity_relation))*.
% 299.85/300.44  262803[5:Res:262607.0,5316.0] || subclass(u,v) -> equal(complement(complement(intersection(w,u))),identity_relation) member(regular(complement(complement(intersection(w,u)))),v)*.
% 299.85/300.44  262814[5:Res:262607.0,5321.0] ||  -> equal(complement(complement(intersection(u,intersection(v,w)))),identity_relation) member(regular(complement(complement(intersection(u,intersection(v,w))))),v)*.
% 299.85/300.44  262815[5:Res:262607.0,5320.0] ||  -> equal(complement(complement(intersection(u,intersection(v,w)))),identity_relation) member(regular(complement(complement(intersection(u,intersection(v,w))))),w)*.
% 299.85/300.44  263046[0:Res:8309.1,25.1] || member(not_subclass_element(intersection(intersection(complement(u),v),w),x),u)* -> subclass(intersection(intersection(complement(u),v),w),x).
% 299.85/300.44  263067[5:Res:8309.1,29473.0] ||  -> subclass(intersection(intersection(domain_of(u),v),w),x) member(not_subclass_element(intersection(intersection(domain_of(u),v),w),x),cantor(u))*.
% 299.85/300.44  263079[5:Res:8309.1,222174.0] ||  -> subclass(intersection(intersection(symmetrization_of(identity_relation),u),v),w) member(not_subclass_element(intersection(intersection(symmetrization_of(identity_relation),u),v),w),inverse(identity_relation))*.
% 299.85/300.44  263197[0:Rew:160.0,262948.0] ||  -> subclass(intersection(symmetric_difference(u,v),w),x) member(not_subclass_element(intersection(symmetric_difference(u,v),w),x),complement(intersection(u,v)))*.
% 299.85/300.44  263257[0:Res:262795.0,8430.0] || subclass(complement(u),v) -> subclass(complement(union(w,u)),x) member(not_subclass_element(complement(union(w,u)),x),v)*.
% 299.85/300.44  263262[5:Res:262795.0,5259.0] || well_ordering(u,complement(v)) -> equal(segment(u,complement(union(w,v)),least(u,complement(union(w,v)))),identity_relation)**.
% 299.85/300.44  263583[5:Res:9102.1,5229.1] inductive(domain_of(restrict(cross_product(u,v),w,x))) || section(cross_product(w,x),v,u)* -> member(identity_relation,v).
% 299.85/300.44  263659[5:Res:263414.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(intersection(symmetrization_of(identity_relation),v),w) member(not_subclass_element(intersection(symmetrization_of(identity_relation),v),w),u)*.
% 299.85/300.44  263664[5:Res:263414.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,intersection(symmetrization_of(identity_relation),v),least(u,intersection(symmetrization_of(identity_relation),v))),identity_relation)**.
% 299.85/300.44  263679[5:Res:263652.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(complement(complement(symmetrization_of(identity_relation))),v) member(not_subclass_element(complement(complement(symmetrization_of(identity_relation))),v),u)*.
% 299.85/300.44  263684[5:Res:263652.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,complement(complement(symmetrization_of(identity_relation))),least(u,complement(complement(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.85/300.44  263748[5:Res:263405.0,5316.0] || subclass(u,v) -> equal(intersection(complement(complement(u)),w),identity_relation) member(regular(intersection(complement(complement(u)),w)),v)*.
% 299.85/300.44  263759[5:Res:263405.0,5321.0] ||  -> equal(intersection(complement(complement(intersection(u,v))),w),identity_relation) member(regular(intersection(complement(complement(intersection(u,v))),w)),u)*.
% 299.85/300.44  263760[5:Res:263405.0,5320.0] ||  -> equal(intersection(complement(complement(intersection(u,v))),w),identity_relation) member(regular(intersection(complement(complement(intersection(u,v))),w)),v)*.
% 299.85/300.44  263856[5:Res:263738.0,5318.0] ||  -> equal(symmetric_difference(universal_class,complement(restrict(u,v,w))),identity_relation) member(regular(symmetric_difference(universal_class,complement(restrict(u,v,w)))),u)*.
% 299.85/300.44  263928[5:Res:263745.0,5316.0] || subclass(u,v) -> equal(complement(complement(complement(complement(u)))),identity_relation) member(regular(complement(complement(complement(complement(u))))),v)*.
% 299.85/300.44  263939[5:Res:263745.0,5321.0] ||  -> equal(complement(complement(complement(complement(intersection(u,v))))),identity_relation) member(regular(complement(complement(complement(complement(intersection(u,v)))))),u)*.
% 299.85/300.44  263940[5:Res:263745.0,5320.0] ||  -> equal(complement(complement(complement(complement(intersection(u,v))))),identity_relation) member(regular(complement(complement(complement(complement(intersection(u,v)))))),v)*.
% 299.85/300.44  264097[5:Res:263450.0,5316.0] || subclass(u,v) -> equal(complement(complement(intersection(u,w))),identity_relation) member(regular(complement(complement(intersection(u,w)))),v)*.
% 299.85/300.44  264108[5:Res:263450.0,5321.0] ||  -> equal(complement(complement(intersection(intersection(u,v),w))),identity_relation) member(regular(complement(complement(intersection(intersection(u,v),w)))),u)*.
% 299.85/300.44  264109[5:Res:263450.0,5320.0] ||  -> equal(complement(complement(intersection(intersection(u,v),w))),identity_relation) member(regular(complement(complement(intersection(intersection(u,v),w)))),v)*.
% 299.85/300.44  264317[0:Res:264089.0,8430.0] || subclass(complement(u),v) -> subclass(complement(union(u,w)),x) member(not_subclass_element(complement(union(u,w)),x),v)*.
% 299.85/300.44  264322[5:Res:264089.0,5259.0] || well_ordering(u,complement(v)) -> equal(segment(u,complement(union(v,w)),least(u,complement(union(v,w)))),identity_relation)**.
% 299.85/300.44  264388[3:Res:264292.0,3692.1] inductive(complement(successor(u))) || well_ordering(v,complement(u)) -> member(least(v,complement(successor(u))),complement(successor(u)))*.
% 299.85/300.44  264389[5:Res:264292.0,5215.0] || well_ordering(u,complement(v)) -> equal(complement(successor(v)),identity_relation) member(least(u,complement(successor(v))),complement(successor(v)))*.
% 299.85/300.44  264438[3:Res:264294.0,3692.1] inductive(complement(symmetrization_of(u))) || well_ordering(v,complement(u)) -> member(least(v,complement(symmetrization_of(u))),complement(symmetrization_of(u)))*.
% 299.85/300.44  264439[5:Res:264294.0,5215.0] || well_ordering(u,complement(v)) -> equal(complement(symmetrization_of(v)),identity_relation) member(least(u,complement(symmetrization_of(v))),complement(symmetrization_of(v)))*.
% 299.85/300.44  264485[5:Res:263814.0,5316.0] || subclass(complement(inverse(identity_relation)),u) -> equal(symmetric_difference(universal_class,symmetrization_of(identity_relation)),identity_relation) member(regular(symmetric_difference(universal_class,symmetrization_of(identity_relation))),u)*.
% 299.85/300.44  264808[5:Rew:203228.1,264802.2] || equal(complement(power_class(u)),identity_relation) member(regular(power_class(identity_relation)),image(element_relation,power_class(u)))* -> equal(power_class(identity_relation),identity_relation).
% 299.85/300.44  264983[5:Res:263560.1,989.1] || equal(complement(not_well_ordering(u,v)),identity_relation)** connected(u,v) -> well_ordering(u,v) equal(not_well_ordering(u,v),v).
% 299.85/300.44  265860[0:Res:262147.0,2957.1] single_valued_class(restrict(complement(complement(cross_product(universal_class,universal_class))),u,v)) ||  -> function(restrict(complement(complement(cross_product(universal_class,universal_class))),u,v))*.
% 299.85/300.44  265862[5:Res:262147.0,5325.0] ||  -> equal(restrict(complement(complement(singleton(u))),v,w),identity_relation) equal(regular(restrict(complement(complement(singleton(u))),v,w)),u)**.
% 299.85/300.44  266002[0:Res:262737.0,2957.1] single_valued_class(complement(complement(restrict(cross_product(universal_class,universal_class),u,v)))) ||  -> function(complement(complement(restrict(cross_product(universal_class,universal_class),u,v))))*.
% 299.85/300.44  266006[5:Res:262737.0,5325.0] ||  -> equal(complement(complement(restrict(singleton(u),v,w))),identity_relation) equal(regular(complement(complement(restrict(singleton(u),v,w)))),u)**.
% 299.85/300.44  266162[5:Res:261130.0,5325.0] ||  -> equal(restrict(intersection(u,singleton(v)),w,x),identity_relation) equal(regular(restrict(intersection(u,singleton(v)),w,x)),v)**.
% 299.85/300.44  266407[5:Res:261700.0,5325.0] ||  -> equal(restrict(intersection(singleton(u),v),w,x),identity_relation) equal(regular(restrict(intersection(singleton(u),v),w,x)),u)**.
% 299.85/300.44  266535[0:Res:262535.0,2957.1] single_valued_class(intersection(restrict(cross_product(universal_class,universal_class),u,v),w)) ||  -> function(intersection(restrict(cross_product(universal_class,universal_class),u,v),w))*.
% 299.85/300.44  266539[5:Res:262535.0,5325.0] ||  -> equal(intersection(restrict(singleton(u),v,w),x),identity_relation) equal(regular(intersection(restrict(singleton(u),v,w),x)),u)**.
% 299.85/300.44  266582[0:Res:12.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(unordered_pair(u,v),omega)),second(ordered_pair(unordered_pair(u,v),omega))),ordered_pair(unordered_pair(u,v),omega))**.
% 299.85/300.44  266589[5:Res:29542.1,123566.0] ||  -> equal(u,identity_relation) equal(ordered_pair(first(ordered_pair(regular(u),omega)),second(ordered_pair(regular(u),omega))),ordered_pair(regular(u),omega))**.
% 299.85/300.44  266644[0:Res:641.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(ordered_pair(u,v),omega)),second(ordered_pair(ordered_pair(u,v),omega))),ordered_pair(ordered_pair(u,v),omega))**.
% 299.85/300.44  266726[20:Res:212334.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(regular(symmetrization_of(identity_relation)),omega)),second(ordered_pair(regular(symmetrization_of(identity_relation)),omega))),ordered_pair(regular(symmetrization_of(identity_relation)),omega))**.
% 299.85/300.44  266813[4:Res:212188.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(least(element_relation,omega),omega)),second(ordered_pair(least(element_relation,omega),omega))),ordered_pair(least(element_relation,omega),omega))**.
% 299.85/300.44  266869[5:Res:263897.0,8.0] || subclass(complement(inverse(identity_relation)),complement(complement(complement(symmetrization_of(identity_relation)))))* -> equal(complement(complement(complement(symmetrization_of(identity_relation)))),complement(inverse(identity_relation))).
% 299.85/300.44  266896[0:SpL:647.0,34161.0] || member(singleton(singleton(singleton(u))),cross_product(universal_class,universal_class))* subclass(composition_function,rest_of(v)) -> member(singleton(u),domain_of(v))*.
% 299.85/300.44  267058[5:Res:262110.0,8.0] || subclass(complement(inverse(identity_relation)),intersection(u,complement(symmetrization_of(identity_relation))))* -> equal(intersection(u,complement(symmetrization_of(identity_relation))),complement(inverse(identity_relation))).
% 299.85/300.44  267169[7:Res:263210.0,8.0] || subclass(singleton(identity_relation),complement(union(u,complement(singleton(identity_relation)))))* -> equal(complement(union(u,complement(singleton(identity_relation)))),singleton(identity_relation)).
% 299.85/300.44  267214[5:Res:263211.0,8.0] || subclass(symmetrization_of(identity_relation),complement(union(u,complement(inverse(identity_relation)))))* -> equal(complement(union(u,complement(inverse(identity_relation)))),symmetrization_of(identity_relation)).
% 299.85/300.44  267276[5:Res:263697.0,8.0] || subclass(complement(inverse(identity_relation)),intersection(complement(symmetrization_of(identity_relation)),u))* -> equal(intersection(complement(symmetrization_of(identity_relation)),u),complement(inverse(identity_relation))).
% 299.85/300.44  267305[7:Res:264270.0,8.0] || subclass(singleton(identity_relation),complement(union(complement(singleton(identity_relation)),u)))* -> equal(complement(union(complement(singleton(identity_relation)),u)),singleton(identity_relation)).
% 299.85/300.44  267359[5:Res:264271.0,8.0] || subclass(symmetrization_of(identity_relation),complement(union(complement(inverse(identity_relation)),u)))* -> equal(complement(union(complement(inverse(identity_relation)),u)),symmetrization_of(identity_relation)).
% 299.85/300.44  267553[5:Res:9102.1,263650.0] || section(cross_product(u,v),symmetrization_of(identity_relation),w) -> subclass(domain_of(restrict(cross_product(w,symmetrization_of(identity_relation)),u,v)),inverse(identity_relation))*.
% 299.85/300.44  267599[20:Res:267579.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,singleton(regular(symmetrization_of(identity_relation))),least(u,singleton(regular(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.85/300.44  267608[9:Res:267581.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(regular(complement(inverse(identity_relation))),v) member(not_subclass_element(regular(complement(inverse(identity_relation))),v),u)*.
% 299.85/300.44  267613[9:Res:267581.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,regular(complement(inverse(identity_relation))),least(u,regular(complement(inverse(identity_relation))))),identity_relation)**.
% 299.85/300.44  267699[5:Res:267560.0,8.0] || subclass(inverse(identity_relation),complement(complement(complement(complement(symmetrization_of(identity_relation))))))* -> equal(complement(complement(complement(complement(symmetrization_of(identity_relation))))),inverse(identity_relation)).
% 299.85/300.44  267704[9:MRR:266866.1,267702.0] || well_ordering(u,complement(inverse(identity_relation))) -> member(least(u,complement(complement(complement(symmetrization_of(identity_relation))))),complement(complement(complement(symmetrization_of(identity_relation)))))*.
% 299.85/300.44  267789[5:Res:267559.0,8.0] || subclass(inverse(identity_relation),complement(complement(intersection(u,symmetrization_of(identity_relation)))))* -> equal(complement(complement(intersection(u,symmetrization_of(identity_relation)))),inverse(identity_relation)).
% 299.85/300.44  267880[5:Res:267561.0,8.0] || subclass(inverse(identity_relation),complement(complement(intersection(symmetrization_of(identity_relation),u))))* -> equal(complement(complement(intersection(symmetrization_of(identity_relation),u))),inverse(identity_relation)).
% 299.85/300.44  267933[5:SpR:123928.1,257295.1] inductive(not_subclass_element(intersection(u,omega),v)) ||  -> subclass(intersection(u,omega),v) equal(not_subclass_element(intersection(u,omega),v),identity_relation)**.
% 299.85/300.44  267990[5:Res:267565.0,8.0] || subclass(inverse(identity_relation),complement(union(u,complement(inverse(identity_relation)))))* -> equal(complement(union(u,complement(inverse(identity_relation)))),inverse(identity_relation)).
% 299.85/300.44  268020[5:Res:267566.0,8.0] || subclass(inverse(identity_relation),complement(union(complement(inverse(identity_relation)),u)))* -> equal(complement(union(complement(inverse(identity_relation)),u)),inverse(identity_relation)).
% 299.85/300.44  268066[5:Res:267567.0,8.0] || subclass(inverse(identity_relation),intersection(complement(complement(symmetrization_of(identity_relation))),u))* -> equal(intersection(complement(complement(symmetrization_of(identity_relation))),u),inverse(identity_relation)).
% 299.85/300.44  268079[5:SpR:123919.1,257295.1] inductive(not_subclass_element(intersection(omega,u),v)) ||  -> subclass(intersection(omega,u),v) equal(not_subclass_element(intersection(omega,u),v),identity_relation)**.
% 299.85/300.44  268156[5:Res:267571.0,8.0] || subclass(inverse(identity_relation),intersection(u,complement(complement(symmetrization_of(identity_relation)))))* -> equal(intersection(u,complement(complement(symmetrization_of(identity_relation)))),inverse(identity_relation)).
% 299.85/300.44  268205[0:SpL:647.0,34162.0] || member(singleton(singleton(singleton(u))),cross_product(universal_class,universal_class))* subclass(composition_function,cross_product(v,w))* -> member(singleton(u),v)*.
% 299.85/300.44  268299[5:Res:263822.0,8.0] || subclass(symmetric_difference(universal_class,u),symmetric_difference(universal_class,union(u,identity_relation)))* -> equal(symmetric_difference(universal_class,union(u,identity_relation)),symmetric_difference(universal_class,u)).
% 299.85/300.44  268346[5:Res:263849.0,8.0] || subclass(range_of(u),symmetric_difference(universal_class,complement(cantor(inverse(u)))))* -> equal(symmetric_difference(universal_class,complement(cantor(inverse(u)))),range_of(u)).
% 299.85/300.44  268355[17:SpL:209320.1,9122.1] function(u) || member(u,domain_of(cross_product(v,w)))* equal(restrict(cross_product(identity_relation,universal_class),v,w),identity_relation)** -> .
% 299.85/300.44  268368[5:Obv:268367.2] || member(u,universal_class) member(v,domain_of(cross_product(singleton(u),universal_class)))* -> member(u,domain_of(cross_product(singleton(v),universal_class)))*.
% 299.85/300.44  268437[5:Res:264364.0,8.0] || subclass(union(u,identity_relation),complement(successor(symmetric_difference(universal_class,u))))* -> equal(complement(successor(symmetric_difference(universal_class,u))),union(u,identity_relation)).
% 299.85/300.44  268696[5:Rew:202351.1,268623.1] || equal(identity_relation,u) -> equal(symmetric_difference(complement(v),universal_class),identity_relation) member(regular(symmetric_difference(complement(v),universal_class)),union(v,u))*.
% 299.85/300.44  268699[5:Rew:124149.0,268644.0] ||  -> equal(symmetric_difference(symmetrization_of(identity_relation),complement(u)),identity_relation) member(regular(symmetric_difference(symmetrization_of(identity_relation),complement(u))),union(complement(inverse(identity_relation)),u))*.
% 299.85/300.44  268700[7:Rew:189445.0,268643.0] ||  -> equal(symmetric_difference(singleton(identity_relation),complement(u)),identity_relation) member(regular(symmetric_difference(singleton(identity_relation),complement(u))),union(complement(singleton(identity_relation)),u))*.
% 299.85/300.44  268702[5:Rew:124149.0,268621.0] ||  -> equal(symmetric_difference(complement(u),symmetrization_of(identity_relation)),identity_relation) member(regular(symmetric_difference(complement(u),symmetrization_of(identity_relation))),union(u,complement(inverse(identity_relation))))*.
% 299.85/300.44  268703[7:Rew:189445.0,268620.0] ||  -> equal(symmetric_difference(complement(u),singleton(identity_relation)),identity_relation) member(regular(symmetric_difference(complement(u),singleton(identity_relation))),union(u,complement(singleton(identity_relation))))*.
% 299.85/300.44  268938[5:MRR:268889.2,204344.1] || member(regular(intersection(u,regular(symmetric_difference(universal_class,v)))),complement(v))* -> equal(intersection(u,regular(symmetric_difference(universal_class,v))),identity_relation).
% 299.85/300.44  268939[9:MRR:268885.2,201884.0] ||  -> subclass(singleton(regular(intersection(u,regular(complement(inverse(identity_relation)))))),symmetrization_of(identity_relation))* equal(intersection(u,regular(complement(inverse(identity_relation)))),identity_relation).
% 299.85/300.44  268940[7:MRR:268884.2,228808.0] ||  -> subclass(singleton(regular(intersection(u,regular(complement(singleton(identity_relation)))))),singleton(identity_relation))* equal(intersection(u,regular(complement(singleton(identity_relation)))),identity_relation).
% 299.85/300.44  269116[5:MRR:269065.2,204344.1] || member(regular(intersection(regular(symmetric_difference(universal_class,u)),v)),complement(u))* -> equal(intersection(regular(symmetric_difference(universal_class,u)),v),identity_relation).
% 299.85/300.44  269117[9:MRR:269061.2,201884.0] ||  -> subclass(singleton(regular(intersection(regular(complement(inverse(identity_relation))),u))),symmetrization_of(identity_relation))* equal(intersection(regular(complement(inverse(identity_relation))),u),identity_relation).
% 299.85/300.44  269118[7:MRR:269060.2,228808.0] ||  -> subclass(singleton(regular(intersection(regular(complement(singleton(identity_relation))),u))),singleton(identity_relation))* equal(intersection(regular(complement(singleton(identity_relation))),u),identity_relation).
% 299.85/300.44  269328[5:Res:264418.0,8.0] || subclass(union(u,identity_relation),complement(symmetrization_of(symmetric_difference(universal_class,u))))* -> equal(complement(symmetrization_of(symmetric_difference(universal_class,u))),union(u,identity_relation)).
% 299.85/300.44  269486[7:SpL:189445.0,7532.1] || member(u,image(element_relation,union(v,complement(singleton(identity_relation)))))* member(u,power_class(intersection(complement(v),singleton(identity_relation)))) -> .
% 299.85/300.44  269487[5:SpL:124149.0,7532.1] || member(u,image(element_relation,union(v,complement(inverse(identity_relation)))))* member(u,power_class(intersection(complement(v),symmetrization_of(identity_relation)))) -> .
% 299.85/300.44  269509[7:SpL:189445.0,7532.1] || member(u,image(element_relation,union(complement(singleton(identity_relation)),v)))* member(u,power_class(intersection(singleton(identity_relation),complement(v)))) -> .
% 299.85/300.44  269510[5:SpL:124149.0,7532.1] || member(u,image(element_relation,union(complement(inverse(identity_relation)),v)))* member(u,power_class(intersection(symmetrization_of(identity_relation),complement(v)))) -> .
% 299.85/300.44  269551[0:Res:779.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(ordered_pair(w,x),image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269557[0:Res:762.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(unordered_pair(w,x),image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269569[5:Res:5615.1,7532.1] || subclass(domain_relation,power_class(intersection(complement(u),complement(v)))) member(ordered_pair(identity_relation,identity_relation),image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269595[20:Res:212523.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(regular(symmetrization_of(identity_relation)),image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269625[4:Res:212539.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(least(element_relation,omega),image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269626[4:Res:212361.1,7532.1] || subclass(omega,power_class(intersection(complement(u),complement(v)))) member(least(element_relation,omega),image(element_relation,union(u,v)))* -> .
% 299.85/300.44  269675[5:Rew:119684.0,269489.2] || equal(identity_relation,u) member(v,image(element_relation,union(w,u)))* member(v,power_class(symmetric_difference(universal_class,w))) -> .
% 299.85/300.44  269869[17:Res:53064.1,195192.0] || well_ordering(u,rest_relation) subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(least(u,rest_relation),identity_relation),w)*.
% 299.85/300.44  269870[17:Res:53058.1,195192.0] || well_ordering(u,universal_class) subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(least(u,rest_relation),identity_relation),w)*.
% 299.85/300.44  269871[17:Res:8771.1,195192.0] || well_ordering(u,universal_class) subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(least(u,universal_class),identity_relation),w)*.
% 299.85/300.44  270208[5:SpL:251233.0,5467.0] || subclass(omega,symmetric_difference(power_class(u),complement(v))) -> equal(integer_of(w),identity_relation) member(w,union(complement(power_class(u)),v))*.
% 299.85/300.44  270225[5:SpL:251233.0,5321.0] || subclass(u,symmetric_difference(power_class(v),complement(w))) -> equal(u,identity_relation) member(regular(u),union(complement(power_class(v)),w))*.
% 299.85/300.44  270450[0:SpR:251244.0,263745.0] ||  -> subclass(complement(complement(complement(union(intersection(power_class(u),complement(v)),w)))),intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.44  270451[5:SpR:251244.0,228130.0] ||  -> equal(symmetric_difference(intersection(union(complement(power_class(u)),v),complement(w)),complement(union(intersection(power_class(u),complement(v)),w))),identity_relation)**.
% 299.85/300.44  270454[0:SpR:251244.0,263405.0] ||  -> subclass(intersection(complement(union(intersection(power_class(u),complement(v)),w)),x),intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.44  270475[7:SpR:251244.0,167376.1] ||  -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))* member(identity_relation,union(intersection(power_class(u),complement(v)),w)).
% 299.85/300.44  270502[0:SpR:251244.0,264089.0] ||  -> subclass(complement(union(intersection(union(complement(power_class(u)),v),complement(w)),x)),union(intersection(power_class(u),complement(v)),w))*.
% 299.85/300.44  270518[0:SpR:251244.0,261657.0] ||  -> subclass(intersection(u,complement(union(intersection(power_class(v),complement(w)),x))),intersection(union(complement(power_class(v)),w),complement(x)))*.
% 299.85/300.44  270521[0:SpR:251244.0,262795.0] ||  -> subclass(complement(union(u,intersection(union(complement(power_class(v)),w),complement(x)))),union(intersection(power_class(v),complement(w)),x))*.
% 299.85/300.44  270538[7:SpR:189445.0,251244.0] ||  -> equal(union(intersection(power_class(u),complement(v)),complement(singleton(identity_relation))),complement(intersection(union(complement(power_class(u)),v),singleton(identity_relation))))**.
% 299.85/300.44  270539[5:SpR:124149.0,251244.0] ||  -> equal(union(intersection(power_class(u),complement(v)),complement(inverse(identity_relation))),complement(intersection(union(complement(power_class(u)),v),symmetrization_of(identity_relation))))**.
% 299.85/300.44  34403[0:Res:646.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,singleton(w))),second(ordered_pair(u,singleton(w)))),ordered_pair(u,singleton(w)))**.
% 299.85/300.44  40255[0:Res:3892.3,1025.1] || member(u,universal_class)* member(v,universal_class) equal(compose(w,v),u)* subclass(universal_class,complement(compose_class(w)))* -> .
% 299.85/300.44  47870[0:SpL:941.0,8165.1] || member(u,symmetric_difference(union(v,w),union(complement(v),complement(w))))* member(u,symmetric_difference(complement(v),complement(w))) -> .
% 299.85/300.44  21011[0:SpR:941.0,943.1] || member(u,symmetric_difference(union(v,w),union(complement(v),complement(w))))* -> member(u,complement(symmetric_difference(complement(v),complement(w)))).
% 299.85/300.44  30824[0:Res:763.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(singleton(w),union(u,v)) -> member(singleton(w),symmetric_difference(u,v))*.
% 299.85/300.44  116842[0:Res:780.2,8157.0] || member(u,universal_class) subclass(rest_relation,symmetric_difference(complement(v),complement(w))) -> member(ordered_pair(u,rest_of(u)),union(v,w))*.
% 299.85/300.44  123081[5:Rew:122359.0,32816.3] || connected(u,v)* member(w,v)* member(x,v)* -> member(ordered_pair(x,w),complement(complement(symmetrization_of(u))))*.
% 299.85/300.44  32813[0:Res:63.1,3335.2] function(cross_product(u,v)) || member(w,v)* member(x,u)* -> member(ordered_pair(x,w),cross_product(universal_class,universal_class))*.
% 299.85/300.44  34166[0:Res:3654.2,146.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,rest_relation) -> equal(ordered_pair(v,compose(u,v)),rest_of(u))**.
% 299.85/300.44  34169[0:Res:3654.2,100.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,domain_relation) -> equal(ordered_pair(v,compose(u,v)),domain_of(u))**.
% 299.85/300.44  114803[0:Res:780.2,776.0] || member(u,universal_class) subclass(rest_relation,cantor(v)) subclass(domain_of(v),w)* -> member(ordered_pair(u,rest_of(u)),w)*.
% 299.85/300.44  33442[0:Rew:123.0,33435.2,123.0,33435.0] || member(u,segment(v,w,u))* section(v,singleton(u),w) -> equal(segment(v,w,u),singleton(u)).
% 299.85/300.44  9123[0:SpL:598.0,134.1] || subclass(u,v) subclass(domain_of(restrict(cross_product(v,u),w,x)),u)* -> section(cross_product(w,x),u,v).
% 299.85/300.44  28280[0:SpL:598.0,3644.0] || equal(domain_of(restrict(cross_product(u,v),w,x)),v)** subclass(v,u) -> section(cross_product(w,x),v,u).
% 299.85/300.44  79058[0:Res:45819.1,134.1] || subclass(domain_of(restrict(u,v,domain_of(w))),cantor(w))* subclass(domain_of(w),v) -> section(u,domain_of(w),v).
% 299.85/300.44  89397[0:Res:45819.1,1014.1] || subclass(u,cantor(restrict(v,w,u)))* section(v,u,w) -> equal(domain_of(restrict(v,w,u)),u).
% 299.85/300.44  28252[0:Res:2603.2,816.1] || member(singleton(u),cross_product(v,w))* member(singleton(u),x)* subclass(universal_class,complement(restrict(x,v,w)))* -> .
% 299.85/300.44  85075[0:SpL:77667.1,3644.0] || equal(rest_of(restrict(u,v,w)),rest_relation)** equal(universal_class,w) subclass(w,v) -> section(u,w,v).
% 299.85/300.44  77741[0:SpL:77667.1,134.1] || equal(rest_of(restrict(u,v,w)),rest_relation)** subclass(w,v) subclass(universal_class,w) -> section(u,w,v).
% 299.85/300.44  126483[0:SpL:79123.1,134.1] || equal(cantor(restrict(u,v,w)),universal_class)** subclass(w,v) subclass(universal_class,w) -> section(u,w,v).
% 299.85/300.44  126484[0:SpL:79123.1,3644.0] || equal(cantor(restrict(u,v,w)),universal_class)** equal(universal_class,w) subclass(w,v) -> section(u,w,v).
% 299.85/300.44  28259[0:Res:2603.2,2.0] || member(u,cross_product(v,w))* member(u,x)* subclass(restrict(x,v,w),y)* -> member(u,y)*.
% 299.85/300.44  27932[0:Res:689.1,2.0] || member(u,universal_class) subclass(intersection(complement(v),complement(w)),x)* -> member(u,union(v,w))* member(u,x)*.
% 299.85/300.44  21248[0:SpL:27.0,773.1] || member(u,universal_class) subclass(union(v,w),x)* -> member(u,intersection(complement(v),complement(w)))* member(u,x)*.
% 299.85/300.44  118182[0:Rew:160.0,118106.1] || member(not_subclass_element(union(u,v),symmetric_difference(u,v)),complement(intersection(u,v)))* -> subclass(union(u,v),symmetric_difference(u,v)).
% 299.85/300.44  8382[0:Res:366.1,595.0] ||  -> subclass(intersection(restrict(u,v,w),x),y) member(not_subclass_element(intersection(restrict(u,v,w),x),y),cross_product(v,w))*.
% 299.85/300.44  8395[0:Res:356.1,595.0] ||  -> subclass(intersection(u,restrict(v,w,x)),y) member(not_subclass_element(intersection(u,restrict(v,w,x)),y),cross_product(w,x))*.
% 299.85/300.44  51758[0:MRR:51730.0,29469.1] || subclass(rest_relation,rest_of(u)) member(not_subclass_element(v,intersection(w,domain_of(u))),w)* -> subclass(v,intersection(w,domain_of(u))).
% 299.85/300.44  118036[0:Res:1013.1,8428.0] || section(u,singleton(v),w) -> subclass(segment(u,w,v),x) equal(not_subclass_element(segment(u,w,v),x),v)**.
% 299.85/300.44  29272[0:Rew:938.0,29224.0] ||  -> subclass(symmetric_difference(u,cross_product(v,w)),x) member(not_subclass_element(symmetric_difference(u,cross_product(v,w)),x),complement(restrict(u,v,w)))*.
% 299.85/300.44  29425[0:Rew:939.0,29374.0] ||  -> subclass(symmetric_difference(cross_product(u,v),w),x) member(not_subclass_element(symmetric_difference(cross_product(u,v),w),x),complement(restrict(w,u,v)))*.
% 299.85/300.44  47655[0:Res:29726.0,595.0] ||  -> subclass(complement(complement(restrict(u,v,w))),x) member(not_subclass_element(complement(complement(restrict(u,v,w))),x),cross_product(v,w))*.
% 299.85/300.44  45846[0:Rew:123.0,45788.1] || member(not_subclass_element(u,segment(v,w,x)),cantor(restrict(v,w,singleton(x))))* -> subclass(u,segment(v,w,x)).
% 299.85/300.44  47740[0:Res:783.1,9.0] || subclass(ordered_pair(u,v),unordered_pair(w,x))* -> equal(unordered_pair(u,singleton(v)),x) equal(unordered_pair(u,singleton(v)),w).
% 299.85/300.44  27963[0:Res:3780.1,1043.0] || equal(complement(complement(ordered_pair(u,v))),universal_class)** -> equal(singleton(w),unordered_pair(u,singleton(v)))* equal(singleton(w),singleton(u)).
% 299.85/300.44  146280[0:SpL:145868.1,2599.1] || subclass(u,v) member(w,union(v,u)) member(w,complement(u)) -> member(w,symmetric_difference(v,u))*.
% 299.85/300.44  153641[5:Res:3892.3,153534.1] || member(u,universal_class)* member(v,universal_class) equal(compose(w,v),u)* equal(complement(compose_class(w)),universal_class) -> .
% 299.85/300.44  162482[0:Res:122671.0,8157.0] ||  -> subclass(u,complement(symmetric_difference(complement(v),complement(w)))) member(not_subclass_element(u,complement(symmetric_difference(complement(v),complement(w)))),union(v,w))*.
% 299.85/300.44  34168[0:Res:3654.2,46.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,successor_relation) -> equal(ordered_pair(v,compose(u,v)),successor(u))**.
% 299.85/300.44  20147[0:SpR:39.0,781.2] || member(flip(cross_product(u,universal_class)),universal_class) subclass(domain_relation,v) -> member(ordered_pair(flip(cross_product(u,universal_class)),inverse(u)),v)*.
% 299.85/300.44  3667[0:Rew:647.0,3664.2] || member(singleton(u),u)* member(singleton(singleton(singleton(u))),cross_product(universal_class,universal_class))* -> member(singleton(singleton(singleton(u))),element_relation).
% 299.85/300.44  12437[5:SpR:12194.1,98.1] || equal(compose_class(u),domain_relation) member(ordered_pair(u,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(u,ordered_pair(identity_relation,identity_relation)),composition_function)*.
% 299.85/300.44  27975[5:Res:5615.1,1043.0] || subclass(domain_relation,ordered_pair(u,v))* -> equal(unordered_pair(u,singleton(v)),ordered_pair(identity_relation,identity_relation)) equal(ordered_pair(identity_relation,identity_relation),singleton(u)).
% 299.85/300.44  113699[5:Res:24.2,5322.1] || member(regular(u),v) member(regular(u),w) subclass(u,complement(intersection(w,v)))* -> equal(u,identity_relation).
% 299.85/300.44  34032[5:SpL:5338.1,782.0] || subclass(regular(cross_product(u,v)),w) -> equal(cross_product(u,v),identity_relation) member(singleton(first(regular(cross_product(u,v)))),w)*.
% 299.85/300.44  29209[5:Obv:29194.1] || subclass(unordered_pair(u,v),w)* -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation) member(u,w).
% 299.85/300.44  29211[5:Obv:29186.1] || subclass(unordered_pair(u,v),w)* -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation) member(v,w).
% 299.85/300.44  34047[5:SpL:5338.1,4722.0] || equal(u,regular(cross_product(v,w))) -> equal(cross_product(v,w),identity_relation) member(singleton(first(regular(cross_product(v,w)))),u)*.
% 299.85/300.44  117918[5:Res:5343.1,8165.1] || member(regular(restrict(intersection(u,v),w,x)),symmetric_difference(u,v))* -> equal(restrict(intersection(u,v),w,x),identity_relation).
% 299.85/300.44  15976[5:SpR:123.0,5588.1] ||  -> equal(cantor(restrict(u,v,singleton(w))),identity_relation) member(regular(cantor(restrict(u,v,singleton(w)))),segment(u,v,w))*.
% 299.85/300.44  26660[5:SpR:30.0,5597.1] || asymmetric(cross_product(u,v),singleton(w)) -> equal(segment(restrict(inverse(cross_product(u,v)),u,v),singleton(w),w),identity_relation)**.
% 299.85/300.44  6537[5:SpR:5629.1,98.1] function(u) || member(ordered_pair(u,inverse(u)),cross_product(universal_class,universal_class)) -> member(ordered_pair(u,ordered_pair(inverse(u),identity_relation)),composition_function)*.
% 299.85/300.44  6560[5:SpR:5630.1,98.1] single_valued_class(u) || member(ordered_pair(u,inverse(u)),cross_product(universal_class,universal_class)) -> member(ordered_pair(u,ordered_pair(inverse(u),identity_relation)),composition_function)*.
% 299.85/300.44  117931[5:Res:5343.1,8898.0] ||  -> equal(restrict(symmetric_difference(u,singleton(u)),v,w),identity_relation) member(regular(restrict(symmetric_difference(u,singleton(u)),v,w)),successor(u))*.
% 299.85/300.44  117930[5:Res:5343.1,8834.0] ||  -> equal(restrict(symmetric_difference(u,inverse(u)),v,w),identity_relation) member(regular(restrict(symmetric_difference(u,inverse(u)),v,w)),symmetrization_of(u))*.
% 299.85/300.44  117925[5:Res:5343.1,776.0] || subclass(domain_of(u),v) -> equal(restrict(cantor(u),w,x),identity_relation) member(regular(restrict(cantor(u),w,x)),v)*.
% 299.85/300.44  117917[5:Res:5343.1,22549.1] || member(regular(restrict(complement(compose(element_relation,universal_class)),u,v)),element_relation)* -> equal(restrict(complement(compose(element_relation,universal_class)),u,v),identity_relation).
% 299.85/300.44  5567[5:Rew:5180.0,4849.1] || subclass(omega,rotate(u)) -> equal(integer_of(ordered_pair(ordered_pair(v,w),x)),identity_relation) member(ordered_pair(ordered_pair(w,x),v),u)*.
% 299.85/300.44  5566[5:Rew:5180.0,4848.1] || subclass(omega,flip(u)) -> equal(integer_of(ordered_pair(ordered_pair(v,w),x)),identity_relation) member(ordered_pair(ordered_pair(w,v),x),u)*.
% 299.85/300.44  20145[0:SpR:54.0,781.2] || member(restrict(element_relation,universal_class,u),universal_class) subclass(domain_relation,v) -> member(ordered_pair(restrict(element_relation,universal_class,u),sum_class(u)),v)*.
% 299.85/300.44  183427[5:Res:144714.1,5490.0] || equal(u,universal_class) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(omega,least(omega,u))),identity_relation)**.
% 299.85/300.44  183428[5:Res:761.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(omega,least(omega,u))),identity_relation)**.
% 299.85/300.44  183432[5:Res:5220.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(u,identity_relation) equal(integer_of(ordered_pair(regular(u),least(omega,u))),identity_relation)**.
% 299.85/300.44  183513[14:Res:178680.1,5490.0] || equal(u,omega) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,u))),identity_relation)**.
% 299.85/300.44  183514[14:Res:178018.1,5490.0] || subclass(omega,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,u))),identity_relation)**.
% 299.85/300.44  183517[5:Res:119647.1,5490.0] || equal(u,universal_class) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,u))),identity_relation)**.
% 299.85/300.44  183518[5:Res:5196.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,u))),identity_relation)**.
% 299.85/300.44  79056[4:Res:45819.1,3412.1] || subclass(sum_class(domain_of(u)),cantor(u))* well_ordering(element_relation,domain_of(u)) -> equal(domain_of(u),universal_class) member(domain_of(u),universal_class).
% 299.85/300.44  36804[0:MRR:36795.2,29469.1] || well_ordering(cross_product(u,universal_class),universal_class)* member(v,u)* subclass(universal_class,w) well_ordering(cross_product(u,universal_class),w)* -> .
% 299.85/300.44  102284[3:Res:28041.2,595.0] inductive(restrict(u,v,w)) || well_ordering(x,universal_class) -> member(least(x,restrict(u,v,w)),cross_product(v,w))*.
% 299.85/300.44  5313[5:Rew:5180.0,5122.3] || subclass(u,v)* subclass(v,w)* well_ordering(x,w)* -> equal(u,identity_relation) member(least(x,v),v)*.
% 299.85/300.44  8429[0:Res:766.2,126.0] || subclass(u,v)* subclass(v,w)* well_ordering(x,w)* -> subclass(u,y)* member(least(x,v),v)*.
% 299.85/300.44  104042[3:Res:28061.2,944.0] inductive(symmetric_difference(u,v)) || well_ordering(w,symmetric_difference(u,v)) -> member(least(w,symmetric_difference(u,v)),union(u,v))*.
% 299.85/300.44  84624[3:Res:58.0,3692.1] inductive(compose(u,v)) || well_ordering(w,cross_product(universal_class,universal_class)) -> member(least(w,compose(u,v)),compose(u,v))*.
% 299.85/300.44  85829[5:Res:45832.1,5259.0] || member(u,cantor(v))* well_ordering(w,domain_of(v))* -> equal(segment(w,singleton(u),least(w,singleton(u))),identity_relation)**.
% 299.85/300.44  28076[3:Res:8243.0,3692.1] inductive(symmetric_difference(u,v)) || well_ordering(w,union(u,v)) -> member(least(w,symmetric_difference(u,v)),symmetric_difference(u,v))*.
% 299.85/300.44  34821[5:Res:32904.1,126.0] || subclass(cantor(u),v)* well_ordering(w,v)* -> equal(domain_of(u),identity_relation) member(least(w,cantor(u)),cantor(u))*.
% 299.85/300.44  34238[5:Res:5220.1,3760.0] || subclass(rest_of(u),v)* well_ordering(w,v)* -> equal(domain_of(u),identity_relation) member(least(w,rest_of(u)),rest_of(u))*.
% 299.85/300.44  15982[5:Res:5588.1,126.0] || subclass(domain_of(u),v)* well_ordering(w,v)* -> equal(cantor(u),identity_relation) member(least(w,domain_of(u)),domain_of(u))*.
% 299.85/300.44  34272[5:Res:5588.1,3760.0] || subclass(rest_of(u),v)* well_ordering(w,v)* -> equal(cantor(u),identity_relation) member(least(w,rest_of(u)),rest_of(u))*.
% 299.85/300.44  34237[5:Res:5201.1,3760.0] inductive(domain_of(u)) || subclass(rest_of(u),v)* well_ordering(w,v)* -> member(least(w,rest_of(u)),rest_of(u))*.
% 299.85/300.44  3703[0:Res:334.1,126.0] || member(u,universal_class) subclass(singleton(u),v)* well_ordering(w,v)* -> member(least(w,singleton(u)),singleton(u))*.
% 299.85/300.44  114843[3:Res:28061.2,776.0] inductive(cantor(u)) || well_ordering(v,cantor(u)) subclass(domain_of(u),w) -> member(least(v,cantor(u)),w)*.
% 299.85/300.44  123163[5:Rew:119684.0,107844.2] inductive(intersection(complement(u),universal_class)) || well_ordering(v,universal_class) member(least(v,symmetric_difference(universal_class,u)),union(u,identity_relation))* -> .
% 299.85/300.44  123268[5:Rew:122359.0,123267.2] inductive(intersection(universal_class,complement(u))) || well_ordering(v,complement(u)) member(least(v,complement(u)),complement(complement(u)))* -> .
% 299.85/300.44  152782[0:Res:122840.1,18.0] || well_ordering(universal_class,complement(cross_product(u,v)))* -> equal(ordered_pair(first(singleton(singleton(w))),second(singleton(singleton(w)))),singleton(singleton(w)))**.
% 299.85/300.44  46326[0:Res:3654.2,3924.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,w)* subclass(w,x)* well_ordering(universal_class,x)* -> .
% 299.85/300.44  183421[5:Res:29542.1,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(v,identity_relation) equal(integer_of(ordered_pair(regular(v),least(omega,universal_class))),identity_relation)**.
% 299.85/300.44  183437[5:Res:123649.1,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(v),identity_relation) equal(integer_of(ordered_pair(v,least(omega,universal_class))),identity_relation)**.
% 299.85/300.44  183438[5:Res:16080.1,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(singleton(v),identity_relation) equal(integer_of(ordered_pair(v,least(omega,universal_class))),identity_relation)**.
% 299.85/300.44  183449[5:Res:5213.0,5490.0] || subclass(omega,u) well_ordering(omega,u)* -> equal(integer_of(v),identity_relation) equal(integer_of(ordered_pair(v,least(omega,omega))),identity_relation)**.
% 299.85/300.44  37857[5:Rew:54.0,37846.2] || section(element_relation,u,universal_class) well_ordering(v,u) -> equal(sum_class(u),identity_relation) member(least(v,sum_class(u)),sum_class(u))*.
% 299.85/300.44  5423[5:Rew:5180.0,3731.2] || equal(sum_class(u),u) well_ordering(v,u) -> equal(sum_class(u),identity_relation) member(least(v,sum_class(u)),sum_class(u))*.
% 299.85/300.44  123151[5:Rew:119684.0,50645.0] || well_ordering(u,symmetric_difference(universal_class,v)) -> equal(segment(u,complement(union(v,identity_relation)),least(u,complement(union(v,identity_relation)))),identity_relation)**.
% 299.85/300.44  48820[5:Res:5403.2,944.0] || well_ordering(u,symmetric_difference(v,w)) -> equal(symmetric_difference(v,w),identity_relation) member(least(u,symmetric_difference(v,w)),union(v,w))*.
% 299.85/300.44  22690[5:Rew:22446.0,9054.1] || well_ordering(u,union(v,identity_relation)) -> equal(segment(u,symmetric_difference(complement(v),universal_class),least(u,symmetric_difference(complement(v),universal_class))),identity_relation)**.
% 299.85/300.44  8285[5:Res:8243.0,5215.0] || well_ordering(u,union(v,w)) -> equal(symmetric_difference(v,w),identity_relation) member(least(u,symmetric_difference(v,w)),symmetric_difference(v,w))*.
% 299.85/300.44  114841[5:Res:5403.2,776.0] || well_ordering(u,cantor(v)) subclass(domain_of(v),w) -> equal(cantor(v),identity_relation) member(least(u,cantor(v)),w)*.
% 299.85/300.44  8638[5:Res:8246.0,5259.0] || well_ordering(u,cross_product(v,w)) -> equal(segment(u,restrict(x,v,w),least(u,restrict(x,v,w))),identity_relation)**.
% 299.85/300.44  30961[5:MRR:30938.2,5184.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(singleton(least(u,element_relation)),element_relation) -> section(u,singleton(least(u,element_relation)),element_relation)*.
% 299.85/300.44  30960[5:MRR:30939.2,5184.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(singleton(least(u,successor_relation)),successor_relation) -> section(u,singleton(least(u,successor_relation)),successor_relation)*.
% 299.85/300.44  30958[5:MRR:30941.2,5184.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(singleton(least(u,rest_relation)),rest_relation) -> section(u,singleton(least(u,rest_relation)),rest_relation)*.
% 299.85/300.44  30959[5:MRR:30940.2,5184.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(singleton(least(u,domain_relation)),domain_relation) -> section(u,singleton(least(u,domain_relation)),domain_relation)*.
% 299.85/300.44  8396[5:Res:5404.2,595.0] || well_ordering(u,universal_class) -> equal(restrict(v,w,x),identity_relation) member(least(u,restrict(v,w,x)),cross_product(w,x))*.
% 299.85/300.44  168491[12:Rew:168477.0,106458.1] single_valued_class(recursion(u,successor_relation,union_of_range_map)) || equal(recursion(u,successor_relation,identity_relation),cross_product(universal_class,universal_class)) -> member(ordinal_add(u,v),universal_class)*.
% 299.85/300.44  179607[5:Rew:118447.0,179592.2,118447.0,179592.1,118447.0,179592.0] || member(apply(choice,union(u,identity_relation)),complement(u))* member(union(u,identity_relation),universal_class) -> equal(union(u,identity_relation),identity_relation).
% 299.85/300.44  37974[5:SpL:5337.2,3649.0] || member(cross_product(u,v),universal_class) equal(complement(apply(choice,cross_product(u,v))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  37973[5:SpL:5337.2,3626.0] || member(cross_product(u,v),universal_class) subclass(universal_class,complement(apply(choice,cross_product(u,v))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  5584[5:Rew:5180.0,5171.1] || member(symmetric_difference(u,v),universal_class) -> equal(symmetric_difference(u,v),identity_relation) member(apply(choice,symmetric_difference(u,v)),union(u,v))*.
% 299.85/300.44  114789[5:Res:5216.2,776.0] || member(cantor(u),universal_class) subclass(domain_of(u),v) -> equal(cantor(u),identity_relation) member(apply(choice,cantor(u)),v)*.
% 299.85/300.44  27211[5:Res:608.1,5377.1] || member(apply(choice,complement(domain_of(u))),cantor(u))* member(complement(domain_of(u)),universal_class) -> equal(complement(domain_of(u)),identity_relation).
% 299.85/300.44  125880[5:Res:5288.2,5377.1] || subclass(omega,u) member(complement(u),universal_class) -> equal(integer_of(apply(choice,complement(u))),identity_relation)** equal(complement(u),identity_relation).
% 299.85/300.44  27623[5:Res:5329.3,2.0] || member(u,universal_class) subclass(u,v)* subclass(v,w)* -> equal(u,identity_relation) member(apply(choice,u),w)*.
% 299.85/300.44  27638[5:Res:5329.3,944.0] || member(u,universal_class) subclass(u,symmetric_difference(v,w)) -> equal(u,identity_relation) member(apply(choice,u),union(v,w))*.
% 299.85/300.44  27625[5:Res:5329.3,22549.1] || member(u,universal_class) subclass(u,complement(compose(element_relation,universal_class)))* member(apply(choice,u),element_relation) -> equal(u,identity_relation).
% 299.85/300.44  41187[5:Res:5329.3,8898.0] || member(u,universal_class) subclass(u,symmetric_difference(v,singleton(v)))* -> equal(u,identity_relation) member(apply(choice,u),successor(v))*.
% 299.85/300.44  41078[5:Res:5329.3,8834.0] || member(u,universal_class) subclass(u,symmetric_difference(v,inverse(v)))* -> equal(u,identity_relation) member(apply(choice,u),symmetrization_of(v))*.
% 299.85/300.44  123196[5:Rew:122359.0,123195.2] || member(u,universal_class) subclass(u,complement(v)) member(apply(choice,u),complement(complement(v)))* -> equal(u,identity_relation).
% 299.85/300.44  123276[5:MRR:50817.1,5.0] || member(u,universal_class) subclass(rest_relation,successor_relation) -> equal(u,identity_relation) equal(rest_of(apply(choice,u)),successor(apply(choice,u)))**.
% 299.85/300.44  39984[0:Res:59.1,1002.1] || member(ordered_pair(u,unordered_pair(v,w)),compose(x,y))* subclass(universal_class,complement(image(x,image(y,singleton(u))))) -> .
% 299.85/300.44  40261[0:Res:59.1,1025.1] || member(ordered_pair(u,ordered_pair(v,w)),compose(x,y))* subclass(universal_class,complement(image(x,image(y,singleton(u))))) -> .
% 299.85/300.44  33386[0:Res:7.1,3524.1] || equal(u,image(v,image(w,singleton(x))))* member(ordered_pair(x,y),compose(v,w))* -> member(y,u)*.
% 299.85/300.44  27121[5:Res:59.1,6463.1] || member(ordered_pair(u,ordered_pair(identity_relation,identity_relation)),compose(v,w))* subclass(domain_relation,complement(image(v,image(w,singleton(u))))) -> .
% 299.85/300.44  27456[0:Res:827.3,2.0] function(u) || member(v,universal_class) subclass(universal_class,w)* subclass(w,x)* -> member(image(u,v),x)*.
% 299.85/300.44  27471[0:Res:827.3,944.0] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(w,x)) -> member(image(u,v),union(w,x))*.
% 299.85/300.44  41194[0:Res:827.3,8898.0] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(w,singleton(w)))* -> member(image(u,v),successor(w))*.
% 299.85/300.44  41085[0:Res:827.3,8834.0] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(w,inverse(w)))* -> member(image(u,v),symmetrization_of(w))*.
% 299.85/300.44  123194[5:Rew:122359.0,123193.3] function(u) || member(v,universal_class) subclass(universal_class,complement(w)) member(image(u,v),complement(complement(w)))* -> .
% 299.85/300.44  50774[0:Res:66.2,23342.0] function(u) || member(v,universal_class) subclass(rest_relation,successor_relation) -> equal(rest_of(image(u,v)),successor(image(u,v)))**.
% 299.85/300.44  27458[5:Res:827.3,22549.1] function(u) || member(v,universal_class) subclass(universal_class,complement(compose(element_relation,universal_class)))* member(image(u,v),element_relation)* -> .
% 299.85/300.44  33388[0:Res:49.1,3524.1] inductive(image(u,singleton(v))) || member(ordered_pair(v,w),compose(successor_relation,u))* -> member(w,image(u,singleton(v))).
% 299.85/300.44  182705[5:SpR:5454.2,160697.0] inductive(u) || well_ordering(universal_class,u) -> subclass(cantor(cross_product(image(successor_relation,u),singleton(least(universal_class,image(successor_relation,u))))),identity_relation)*.
% 299.85/300.44  50108[0:SpR:8660.0,764.2] || member(intersection(complement(u),complement(singleton(u))),universal_class)* subclass(universal_class,v) -> member(complement(image(element_relation,successor(u))),v)*.
% 299.85/300.44  50207[0:SpR:8659.0,764.2] || member(intersection(complement(u),complement(inverse(u))),universal_class)* subclass(universal_class,v) -> member(complement(image(element_relation,symmetrization_of(u))),v)*.
% 299.85/300.44  123993[5:Res:49.1,5321.0] inductive(intersection(u,v)) ||  -> equal(image(successor_relation,intersection(u,v)),identity_relation) member(regular(image(successor_relation,intersection(u,v))),u)*.
% 299.85/300.44  123994[5:Res:49.1,5320.0] inductive(intersection(u,v)) ||  -> equal(image(successor_relation,intersection(u,v)),identity_relation) member(regular(image(successor_relation,intersection(u,v))),v)*.
% 299.85/300.44  126578[5:SpL:579.0,113722.0] || subclass(image(element_relation,union(u,v)),power_class(intersection(complement(u),complement(v))))* -> equal(image(element_relation,union(u,v)),identity_relation).
% 299.85/300.44  87335[0:Res:86994.1,2609.2] || equal(cantor(inverse(u)),intersection(v,w))* member(x,w)* member(x,v)* -> member(x,range_of(u))*.
% 299.85/300.44  51991[5:Res:29474.1,8090.0] || member(regular(regular(cantor(inverse(u)))),range_of(u))* -> equal(regular(cantor(inverse(u))),identity_relation) equal(cantor(inverse(u)),identity_relation).
% 299.85/300.44  189592[7:Rew:189431.0,179193.2] || member(u,universal_class) subclass(power_class(complement(singleton(identity_relation))),v)* -> member(u,image(element_relation,singleton(identity_relation)))* member(u,v)*.
% 299.85/300.44  189615[7:Rew:189431.0,179145.0] ||  -> equal(complement(intersection(union(u,image(element_relation,singleton(identity_relation))),complement(v))),union(intersection(complement(u),power_class(complement(singleton(identity_relation)))),v))**.
% 299.85/300.44  189620[7:Rew:189431.0,179123.0] ||  -> equal(complement(intersection(union(image(element_relation,singleton(identity_relation)),u),complement(v))),union(intersection(power_class(complement(singleton(identity_relation))),complement(u)),v))**.
% 299.85/300.44  189635[7:Rew:189431.0,179154.0] ||  -> equal(complement(intersection(complement(u),union(v,image(element_relation,singleton(identity_relation))))),union(u,intersection(complement(v),power_class(complement(singleton(identity_relation))))))**.
% 299.85/300.44  189639[7:Rew:189431.0,179148.0] ||  -> equal(complement(intersection(complement(u),union(image(element_relation,singleton(identity_relation)),v))),union(u,intersection(power_class(complement(singleton(identity_relation))),complement(v))))**.
% 299.85/300.44  192435[12:SpR:192336.1,59.1] || member(u,universal_class) member(ordered_pair(range_of(u),v),compose(w,x))* -> member(v,image(w,image(x,identity_relation))).
% 299.85/300.44  194034[15:Res:194012.1,126.0] || subclass(complement(u),v)* well_ordering(w,v)* -> member(singleton(identity_relation),u) member(least(w,complement(u)),complement(u))*.
% 299.85/300.44  194174[15:Res:192110.1,1043.0] || equal(ordered_pair(u,v),singleton(singleton(identity_relation))) -> equal(unordered_pair(u,singleton(v)),singleton(identity_relation))** equal(singleton(identity_relation),singleton(u)).
% 299.85/300.44  195206[17:Rew:195144.1,20577.2] || member(u,universal_class) subclass(domain_relation,intersection(complement(v),complement(w))) member(ordered_pair(u,identity_relation),union(v,w))* -> .
% 299.85/300.44  195286[17:Rew:195144.1,195189.2] || member(u,universal_class) subclass(domain_relation,unordered_pair(v,w))* -> equal(ordered_pair(u,identity_relation),w)* equal(ordered_pair(u,identity_relation),v)*.
% 299.85/300.44  197227[17:SpR:196425.0,59.1] || member(ordered_pair(inverse(u),v),compose(w,x))* -> equal(range_of(u),identity_relation) member(v,image(w,image(x,identity_relation))).
% 299.85/300.44  198250[16:Res:192686.0,5490.0] || subclass(successor(range_of(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,successor(range_of(identity_relation))))),identity_relation)**.
% 299.85/300.44  198568[15:SpL:191728.0,3524.1] || member(ordered_pair(range_of(identity_relation),u),compose(v,w))* subclass(image(v,image(w,identity_relation)),x)* -> member(u,x)*.
% 299.85/300.44  200962[5:Rew:200704.1,200756.1] || equal(u,universal_class) asymmetric(v,identity_relation) -> inductive(u) equal(domain__dfg(intersection(v,inverse(v)),identity_relation,u),single_valued3(identity_relation))**.
% 299.85/300.44  202141[5:SpL:5337.2,201805.0] || member(cross_product(u,v),universal_class) subclass(singleton(apply(choice,cross_product(u,v))),identity_relation)* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  202151[5:MRR:198772.2,202145.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,complement(singleton(ordered_pair(u,ordered_pair(v,compose(u,v))))))* -> .
% 299.85/300.44  203746[5:MRR:39420.0,203697.0] ||  -> equal(regular(complement(complement(ordered_pair(u,v)))),unordered_pair(u,singleton(v)))** equal(regular(complement(complement(ordered_pair(u,v)))),singleton(u)).
% 299.85/300.44  205152[5:Res:205135.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,power_class(identity_relation))),second(ordered_pair(u,power_class(identity_relation)))),ordered_pair(u,power_class(identity_relation)))**.
% 299.85/300.44  205294[5:Res:205150.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(power_class(identity_relation),union(u,v)) -> member(power_class(identity_relation),symmetric_difference(u,v))*.
% 299.85/300.44  209052[17:Rew:208959.1,195922.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,ordered_pair(w,x))*.
% 299.85/300.44  209053[17:Rew:208959.1,195846.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,unordered_pair(w,x))*.
% 299.85/300.44  209081[15:Rew:208959.1,124981.2] function(u) || subclass(range_of(u),cantor(domain_of(v)))* equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.44  209083[15:Rew:208959.1,162222.2] function(u) || equal(rest_of(range_of(v)),rest_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.85/300.44  209084[15:Rew:208959.1,162221.2] function(u) || equal(cantor(range_of(v)),universal_class) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.85/300.44  209473[15:MRR:209472.3,5240.0] function(restrict(u,v,w)) || section(u,w,v)* well_ordering(x,w)* -> member(least(x,universal_class),universal_class)*.
% 299.85/300.44  210191[15:Rew:210179.2,27572.3] single_valued_class(inverse(u)) || subclass(range_of(inverse(u)),v) equal(inverse(u),identity_relation) -> maps(inverse(u),universal_class,v)*.
% 299.85/300.44  210275[15:SSi:210267.1,72.1] one_to_one(u) || subclass(universal_class,domain_of(range_of(v))) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.85/300.44  210635[17:SpR:2089.1,209752.1] function(first(not_subclass_element(cross_product(u,v),w))) ||  -> subclass(cross_product(u,v),w) member(identity_relation,not_subclass_element(cross_product(u,v),w))*.
% 299.85/300.44  210969[17:Rew:22454.0,210956.1] function(intersection(complement(u),complement(v))) ||  -> equal(complement(intersection(union(u,v),universal_class)),successor(intersection(complement(u),complement(v))))**.
% 299.85/300.44  5778[5:Rew:5180.0,5397.2] || member(u,range_of(identity_relation)) member(ordered_pair(v,u),cross_product(universal_class,universal_class)) -> member(ordered_pair(v,u),compose(identity_relation,w))*.
% 299.85/300.44  183520[9:Res:168274.0,5490.0] || subclass(complement(inverse(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(inverse(identity_relation))))),identity_relation)**.
% 299.85/300.44  179075[5:SpL:122494.0,773.1] || member(u,universal_class) subclass(power_class(complement(inverse(identity_relation))),v)* -> member(u,image(element_relation,symmetrization_of(identity_relation)))* member(u,v)*.
% 299.85/300.44  179027[5:SpR:122494.0,580.0] ||  -> equal(complement(intersection(union(u,image(element_relation,symmetrization_of(identity_relation))),complement(v))),union(intersection(complement(u),power_class(complement(inverse(identity_relation)))),v))**.
% 299.85/300.44  179005[5:SpR:122494.0,580.0] ||  -> equal(complement(intersection(union(image(element_relation,symmetrization_of(identity_relation)),u),complement(v))),union(intersection(power_class(complement(inverse(identity_relation))),complement(u)),v))**.
% 299.85/300.44  179036[5:SpR:122494.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,image(element_relation,symmetrization_of(identity_relation))))),union(u,intersection(complement(v),power_class(complement(inverse(identity_relation))))))**.
% 299.85/300.44  179030[5:SpR:122494.0,581.0] ||  -> equal(complement(intersection(complement(u),union(image(element_relation,symmetrization_of(identity_relation)),v))),union(u,intersection(power_class(complement(inverse(identity_relation))),complement(v))))**.
% 299.85/300.44  191357[5:Res:180196.1,5259.0] || member(u,inverse(identity_relation)) well_ordering(v,symmetrization_of(identity_relation)) -> equal(segment(v,singleton(u),least(v,singleton(u))),identity_relation)**.
% 299.85/300.44  212350[20:Res:212334.0,5490.0] || subclass(inverse(identity_relation),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(regular(symmetrization_of(identity_relation)),least(omega,inverse(identity_relation)))),identity_relation)**.
% 299.85/300.44  213079[20:Rew:5299.0,213058.1] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,regular(symmetrization_of(identity_relation)))*.
% 299.85/300.44  213246[17:Rew:5299.0,213225.1] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,least(element_relation,omega))*.
% 299.85/300.44  214395[20:Res:214392.0,5490.0] || subclass(symmetrization_of(identity_relation),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(regular(symmetrization_of(identity_relation)),least(omega,symmetrization_of(identity_relation)))),identity_relation)**.
% 299.85/300.44  216148[5:Rew:120682.0,216082.1] || member(regular(complement(segment(universal_class,u,v))),cantor(cross_product(u,singleton(v))))* -> equal(complement(segment(universal_class,u,v)),identity_relation).
% 299.85/300.44  217756[5:SpL:122711.0,336.0] || member(u,image(element_relation,union(v,symmetric_difference(universal_class,w))))* member(u,power_class(intersection(complement(v),union(w,identity_relation)))) -> .
% 299.85/300.44  217738[5:SpL:122711.0,7539.0] || subclass(universal_class,image(element_relation,union(u,symmetric_difference(universal_class,v)))) member(omega,power_class(intersection(complement(u),union(v,identity_relation))))* -> .
% 299.85/300.44  217814[5:Rew:122711.0,217732.1] || subclass(union(u,symmetric_difference(universal_class,v)),intersection(complement(u),union(v,identity_relation)))* -> equal(union(u,symmetric_difference(universal_class,v)),identity_relation).
% 299.85/300.44  218097[5:Res:2603.2,205293.1] || member(power_class(identity_relation),cross_product(u,v)) member(power_class(identity_relation),w) subclass(universal_class,complement(restrict(w,u,v)))* -> .
% 299.85/300.44  218354[5:SpL:122708.0,336.0] || member(u,image(element_relation,union(symmetric_difference(universal_class,v),w)))* member(u,power_class(intersection(union(v,identity_relation),complement(w)))) -> .
% 299.85/300.44  218336[5:SpL:122708.0,7539.0] || subclass(universal_class,image(element_relation,union(symmetric_difference(universal_class,u),v))) member(omega,power_class(intersection(union(u,identity_relation),complement(v))))* -> .
% 299.85/300.44  218408[5:Rew:122708.0,218329.1] || subclass(union(symmetric_difference(universal_class,u),v),intersection(union(u,identity_relation),complement(v)))* -> equal(union(symmetric_difference(universal_class,u),v),identity_relation).
% 299.85/300.44  219798[5:Obv:219796.1] || subclass(omega,u) -> equal(not_subclass_element(unordered_pair(v,w),u),v)** equal(integer_of(w),identity_relation) subclass(unordered_pair(v,w),u).
% 299.85/300.44  219799[5:Obv:219795.1] || subclass(omega,u) -> equal(not_subclass_element(unordered_pair(v,w),u),w)** equal(integer_of(v),identity_relation) subclass(unordered_pair(v,w),u).
% 299.85/300.44  219824[5:SpL:5380.1,208733.0] || member(identity_relation,u) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v)**.
% 299.85/300.44  219823[5:SpL:5380.2,208733.0] || member(identity_relation,u) subclass(element_relation,identity_relation) -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)**.
% 299.85/300.44  219931[14:SpL:5380.1,208802.0] || equal(u,omega) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v)**.
% 299.85/300.44  219930[14:SpL:5380.2,208802.0] || equal(u,omega) subclass(element_relation,identity_relation) -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)**.
% 299.85/300.44  219938[14:SpL:5380.1,208807.0] || subclass(omega,u) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v)**.
% 299.85/300.44  219937[14:SpL:5380.2,208807.0] || subclass(omega,u) subclass(element_relation,identity_relation) -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)**.
% 299.85/300.44  220087[17:SpR:209749.1,98.1] function(compose(u,identity_relation)) || member(ordered_pair(u,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(u,singleton(singleton(identity_relation))),composition_function)*.
% 299.85/300.44  220286[5:SpL:5380.1,210759.0] || equal(u,universal_class) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v)**.
% 299.85/300.44  220285[5:SpL:5380.2,210759.0] || equal(u,universal_class) subclass(element_relation,identity_relation) -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)**.
% 299.85/300.44  220293[5:SpL:5380.1,210764.0] || subclass(universal_class,u) subclass(element_relation,identity_relation) -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v)**.
% 299.85/300.44  220292[5:SpL:5380.2,210764.0] || subclass(universal_class,u) subclass(element_relation,identity_relation) -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v)**.
% 299.85/300.44  220630[20:Res:212352.1,18.0] || subclass(inverse(identity_relation),cross_product(u,v))* -> equal(ordered_pair(first(regular(symmetrization_of(identity_relation))),second(regular(symmetrization_of(identity_relation)))),regular(symmetrization_of(identity_relation)))**.
% 299.85/300.44  221425[20:Res:214397.1,18.0] || subclass(symmetrization_of(identity_relation),cross_product(u,v))* -> equal(ordered_pair(first(regular(symmetrization_of(identity_relation))),second(regular(symmetrization_of(identity_relation)))),regular(symmetrization_of(identity_relation)))**.
% 299.85/300.44  222388[5:SpR:122711.0,222089.0] ||  -> equal(intersection(intersection(complement(u),union(v,identity_relation)),complement(union(u,symmetric_difference(universal_class,v)))),complement(union(u,symmetric_difference(universal_class,v))))**.
% 299.85/300.44  222386[5:SpR:122708.0,222089.0] ||  -> equal(intersection(intersection(union(u,identity_relation),complement(v)),complement(union(symmetric_difference(universal_class,u),v))),complement(union(symmetric_difference(universal_class,u),v)))**.
% 299.85/300.44  224447[5:Rew:27.0,224420.2] || subclass(omega,intersection(complement(u),complement(v)))* -> equal(integer_of(regular(union(u,v))),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.44  225453[5:Res:223085.1,1043.0] || equal(complement(complement(ordered_pair(u,v))),universal_class)** -> equal(unordered_pair(u,singleton(v)),power_class(identity_relation)) equal(power_class(identity_relation),singleton(u)).
% 299.85/300.44  225936[5:MRR:225899.3,23629.0] || member(apply(choice,regular(complement(u))),universal_class)* -> member(apply(choice,regular(complement(u))),u)* equal(regular(complement(u)),identity_relation).
% 299.85/300.44  226108[14:SpL:5338.1,202185.0] || subclass(omega,regular(cross_product(u,v))) -> equal(cross_product(u,v),identity_relation) equal(singleton(first(regular(cross_product(u,v)))),identity_relation)**.
% 299.85/300.44  226119[14:SpL:5338.1,202186.0] || equal(regular(cross_product(u,v)),omega) -> equal(cross_product(u,v),identity_relation) equal(singleton(first(regular(cross_product(u,v)))),identity_relation)**.
% 299.85/300.44  226714[0:SpL:938.0,7572.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,cross_product(w,x))) -> member(power_class(u),complement(restrict(v,w,x)))*.
% 299.85/300.44  226713[0:SpL:939.0,7572.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(cross_product(v,w),x)) -> member(power_class(u),complement(restrict(x,v,w)))*.
% 299.85/300.44  227204[5:Res:227090.0,5215.0] || well_ordering(u,complement(cantor(v))) -> equal(complement(domain_of(v)),identity_relation) member(least(u,complement(domain_of(v))),complement(domain_of(v)))*.
% 299.85/300.44  227203[3:Res:227090.0,3692.1] inductive(complement(domain_of(u))) || well_ordering(v,complement(cantor(u))) -> member(least(v,complement(domain_of(u))),complement(domain_of(u)))*.
% 299.85/300.44  227329[5:Res:227239.0,5259.0] || well_ordering(u,complement(intersection(sum_class(v),universal_class))) -> equal(segment(u,complement(sum_class(v)),least(u,complement(sum_class(v)))),identity_relation)**.
% 299.85/300.44  227362[5:Res:227240.0,5259.0] || well_ordering(u,complement(intersection(inverse(v),universal_class))) -> equal(segment(u,complement(inverse(v)),least(u,complement(inverse(v)))),identity_relation)**.
% 299.85/300.44  227591[5:Rew:27.0,227459.1] || member(regular(intersection(union(u,v),w)),intersection(complement(u),complement(v)))* -> equal(intersection(union(u,v),w),identity_relation).
% 299.85/300.44  228297[5:Rew:27.0,227888.1] || member(regular(intersection(u,union(v,w))),intersection(complement(v),complement(w)))* -> equal(intersection(u,union(v,w)),identity_relation).
% 299.85/300.44  228787[5:MRR:228750.2,204401.1] || member(ordered_pair(u,unordered_pair(v,w)),compose(x,y))* subclass(universal_class,regular(image(x,image(y,singleton(u))))) -> .
% 299.85/300.44  228948[0:SpL:938.0,7607.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,cross_product(w,x))) -> member(sum_class(u),complement(restrict(v,w,x)))*.
% 299.85/300.44  228947[0:SpL:939.0,7607.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(cross_product(v,w),x)) -> member(sum_class(u),complement(restrict(x,v,w)))*.
% 299.85/300.44  229085[5:SpL:5337.2,228756.0] || member(cross_product(u,v),universal_class) subclass(universal_class,regular(apply(choice,cross_product(u,v))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  229129[5:SpL:5337.2,228896.0] || member(cross_product(u,v),universal_class) equal(complement(apply(choice,cross_product(u,v))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  229137[5:SpL:5337.2,229089.0] || member(cross_product(u,v),universal_class) equal(regular(apply(choice,cross_product(u,v))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.44  229759[5:SpR:146076.0,5585.1] ||  -> equal(symmetric_difference(range_of(u),cantor(inverse(u))),identity_relation) member(regular(symmetric_difference(range_of(u),cantor(inverse(u)))),complement(cantor(inverse(u))))*.
% 299.85/300.44  230138[5:MRR:230092.0,29531.1] ||  -> member(not_subclass_element(regular(union(u,v)),w),complement(u))* subclass(regular(union(u,v)),w) equal(union(u,v),identity_relation).
% 299.85/300.44  230139[5:MRR:230091.0,29531.1] ||  -> member(not_subclass_element(regular(union(u,v)),w),complement(v))* subclass(regular(union(u,v)),w) equal(union(u,v),identity_relation).
% 299.85/300.44  230380[5:SpR:579.0,230113.0] ||  -> subclass(regular(image(element_relation,union(u,v))),power_class(intersection(complement(u),complement(v))))* equal(image(element_relation,union(u,v)),identity_relation).
% 299.85/300.44  231481[4:Res:3364.1,8433.0] || member(intersection(u,v),universal_class) -> subclass(sum_class(intersection(u,v)),w) member(not_subclass_element(sum_class(intersection(u,v)),w),v)*.
% 299.85/300.44  231615[4:Res:3364.1,8432.0] || member(intersection(u,v),universal_class) -> subclass(sum_class(intersection(u,v)),w) member(not_subclass_element(sum_class(intersection(u,v)),w),u)*.
% 299.85/300.44  231581[0:SpL:938.0,8432.0] || subclass(u,symmetric_difference(v,cross_product(w,x))) -> subclass(u,y) member(not_subclass_element(u,y),complement(restrict(v,w,x)))*.
% 299.85/300.44  231580[0:SpL:939.0,8432.0] || subclass(u,symmetric_difference(cross_product(v,w),x)) -> subclass(u,y) member(not_subclass_element(u,y),complement(restrict(x,v,w)))*.
% 299.85/300.44  232344[5:Res:601.1,5405.0] || member(not_subclass_element(restrict(regular(u),v,w),x),u)* -> subclass(restrict(regular(u),v,w),x) equal(u,identity_relation).
% 299.85/300.44  232341[0:Res:601.1,596.0] ||  -> subclass(restrict(restrict(u,v,w),x,y),z) member(not_subclass_element(restrict(restrict(u,v,w),x,y),z),u)*.
% 299.85/300.44  232334[0:Res:601.1,158.0] ||  -> subclass(restrict(omega,u,v),w) equal(integer_of(not_subclass_element(restrict(omega,u,v),w)),not_subclass_element(restrict(omega,u,v),w))**.
% 299.85/300.44  232328[0:Res:601.1,944.0] ||  -> subclass(restrict(symmetric_difference(u,v),w,x),y) member(not_subclass_element(restrict(symmetric_difference(u,v),w,x),y),union(u,v))*.
% 299.85/300.44  232299[0:SpR:598.0,601.1] ||  -> subclass(restrict(cross_product(u,v),w,x),y) member(not_subclass_element(restrict(cross_product(w,x),u,v),y),cross_product(u,v))*.
% 299.85/300.44  232818[5:Rew:122711.0,232770.1] || subclass(intersection(complement(u),union(v,identity_relation)),union(u,symmetric_difference(universal_class,v)))* -> subclass(universal_class,union(u,symmetric_difference(universal_class,v))).
% 299.85/300.44  232819[5:Rew:122708.0,232768.1] || subclass(intersection(union(u,identity_relation),complement(v)),union(symmetric_difference(universal_class,u),v))* -> subclass(universal_class,union(symmetric_difference(universal_class,u),v)).
% 299.85/300.44  233664[15:Rew:233634.0,193859.2] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),sum_class(range_of(identity_relation))) -> member(ordered_pair(u,universal_class),rest_of(v))*.
% 299.85/300.44  233785[15:Rew:233634.0,233660.1] || equal(successor(u),sum_class(range_of(identity_relation))) member(ordered_pair(u,universal_class),cross_product(universal_class,universal_class))* -> member(ordered_pair(u,universal_class),successor_relation).
% 299.85/300.44  233980[5:Res:233438.0,5490.0] || subclass(ordered_pair(universal_class,u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,ordered_pair(universal_class,u)))),identity_relation)**.
% 299.85/300.44  234175[17:Res:106230.1,195186.2] || member(u,universal_class) subclass(domain_relation,complement(sum_class(singleton(ordered_pair(u,identity_relation)))))* -> equal(sum_class(singleton(ordered_pair(u,identity_relation))),identity_relation).
% 299.85/300.44  234151[17:Res:943.1,195186.2] || member(ordered_pair(u,identity_relation),symmetric_difference(v,w))* member(u,universal_class) subclass(domain_relation,complement(complement(intersection(v,w)))) -> .
% 299.85/300.44  234400[0:SpL:647.0,2158.0] || member(singleton(singleton(singleton(singleton(singleton(singleton(u)))))),composition_function)* -> equal(compose(singleton(singleton(singleton(singleton(u)))),singleton(u)),u)**.
% 299.85/300.44  234887[5:Res:26595.1,3924.0] || member(u,universal_class) subclass(domain_of(v),w)* well_ordering(universal_class,w) -> equal(apply(v,u),sum_class(range_of(identity_relation)))**.
% 299.85/300.44  234856[5:SpR:120682.0,26595.1] || member(u,universal_class) -> member(u,segment(universal_class,v,w)) equal(apply(cross_product(v,singleton(w)),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.44  234962[5:MRR:234917.0,29531.1] ||  -> equal(apply(u,not_subclass_element(regular(domain_of(u)),v)),sum_class(range_of(identity_relation)))** subclass(regular(domain_of(u)),v) equal(domain_of(u),identity_relation).
% 299.85/300.44  235202[5:Res:29474.1,8058.1] || member(least(u,complement(cantor(inverse(v)))),range_of(v))* well_ordering(u,universal_class) -> equal(complement(cantor(inverse(v))),identity_relation).
% 299.85/300.44  235240[5:MRR:235199.0,29598.2] || well_ordering(u,universal_class) -> equal(apply(v,least(u,complement(domain_of(v)))),sum_class(range_of(identity_relation)))** equal(complement(domain_of(v)),identity_relation).
% 299.85/300.44  235483[5:SpR:2089.1,233421.0] ||  -> subclass(cross_product(u,v),w) member(singleton(first(not_subclass_element(cross_product(u,v),w))),complement(singleton(not_subclass_element(cross_product(u,v),w))))*.
% 299.85/300.44  235681[5:Res:20387.1,5405.0] || subclass(rest_relation,rotate(regular(u))) member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),u)* -> equal(u,identity_relation).
% 299.85/300.44  235677[0:Res:20387.1,595.0] || subclass(rest_relation,rotate(restrict(u,v,w)))* -> member(ordered_pair(ordered_pair(x,rest_of(ordered_pair(y,x))),y),cross_product(v,w))*.
% 299.85/300.44  235656[0:Res:20387.1,8165.1] || subclass(rest_relation,rotate(intersection(u,v))) member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),symmetric_difference(u,v))* -> .
% 299.85/300.44  235797[5:Res:20388.1,5405.0] || subclass(rest_relation,flip(regular(u))) member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),u)* -> equal(u,identity_relation).
% 299.85/300.44  235793[0:Res:20388.1,595.0] || subclass(rest_relation,flip(restrict(u,v,w)))* -> member(ordered_pair(ordered_pair(x,y),rest_of(ordered_pair(y,x))),cross_product(v,w))*.
% 299.85/300.44  235772[0:Res:20388.1,8165.1] || subclass(rest_relation,flip(intersection(u,v))) member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),symmetric_difference(u,v))* -> .
% 299.85/300.44  235859[5:SpL:2089.1,235506.0] || member(singleton(first(not_subclass_element(cross_product(u,v),w))),singleton(not_subclass_element(cross_product(u,v),w)))* -> subclass(cross_product(u,v),w).
% 299.85/300.44  235927[5:Res:5462.2,5233.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(regular(complement(union(u,v)))),identity_relation)** equal(complement(union(u,v)),identity_relation).
% 299.85/300.44  236463[5:Res:29474.1,8214.0] || member(not_subclass_element(intersection(u,complement(cantor(inverse(v)))),w),range_of(v))* -> subclass(intersection(u,complement(cantor(inverse(v)))),w).
% 299.85/300.44  236536[5:MRR:236460.0,29531.1] ||  -> equal(apply(u,not_subclass_element(intersection(v,complement(domain_of(u))),w)),sum_class(range_of(identity_relation)))** subclass(intersection(v,complement(domain_of(u))),w).
% 299.85/300.44  236592[5:Rew:233485.0,236575.1] || member(not_subclass_element(complement(segment(universal_class,u,universal_class)),v),cantor(cross_product(u,identity_relation)))* -> subclass(complement(segment(universal_class,u,universal_class)),v).
% 299.85/300.44  236848[5:Res:29474.1,8308.0] || member(not_subclass_element(intersection(complement(cantor(inverse(u))),v),w),range_of(u))* -> subclass(intersection(complement(cantor(inverse(u))),v),w).
% 299.85/300.44  236927[0:Rew:938.0,236819.1] || member(not_subclass_element(symmetric_difference(u,cross_product(v,w)),x),restrict(u,v,w))* -> subclass(symmetric_difference(u,cross_product(v,w)),x).
% 299.85/300.44  236928[0:Rew:939.0,236818.1] || member(not_subclass_element(symmetric_difference(cross_product(u,v),w),x),restrict(w,u,v))* -> subclass(symmetric_difference(cross_product(u,v),w),x).
% 299.85/300.44  236935[5:MRR:236845.0,29531.1] ||  -> equal(apply(u,not_subclass_element(intersection(complement(domain_of(u)),v),w)),sum_class(range_of(identity_relation)))** subclass(intersection(complement(domain_of(u)),v),w).
% 299.85/300.44  237048[5:SpL:122494.0,21262.0] || equal(u,power_class(complement(inverse(identity_relation))))* member(v,universal_class) -> member(v,image(element_relation,symmetrization_of(identity_relation)))* member(v,u)*.
% 299.85/300.44  237046[7:SpL:189471.0,21262.0] || equal(u,power_class(complement(singleton(identity_relation))))* member(v,universal_class) -> member(v,image(element_relation,singleton(identity_relation)))* member(v,u)*.
% 299.85/300.44  237033[0:SpL:27.0,21262.0] || equal(u,union(v,w))* member(x,universal_class) -> member(x,intersection(complement(v),complement(w)))* member(x,u)*.
% 299.85/300.44  237187[5:Obv:237135.3] || equal(u,v) subclass(unordered_pair(v,u),complement(w))* member(v,w) -> equal(unordered_pair(v,u),identity_relation).
% 299.85/300.44  237188[5:Obv:237125.1] || equal(u,v) -> equal(unordered_pair(v,u),identity_relation) equal(symmetric_difference(unordered_pair(v,u),v),union(unordered_pair(v,u),v))**.
% 299.85/300.44  237192[5:Rew:29180.2,237191.2] || equal(u,v) member(not_subclass_element(v,w),unordered_pair(v,u))* -> subclass(v,w) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.44  237194[5:Rew:29180.2,237193.2] || equal(u,v) member(apply(choice,v),unordered_pair(v,u))* -> equal(v,identity_relation) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.44  237353[5:Res:5580.1,610.0] ||  -> equal(intersection(u,intersection(v,cantor(inverse(w)))),identity_relation) member(regular(intersection(u,intersection(v,cantor(inverse(w))))),range_of(w))*.
% 299.85/300.44  237347[5:Res:5580.1,119626.0] ||  -> equal(intersection(u,intersection(v,symmetric_difference(universal_class,w))),identity_relation) member(regular(intersection(u,intersection(v,symmetric_difference(universal_class,w)))),complement(w))*.
% 299.85/300.44  237346[5:Res:5580.1,119659.0] || member(regular(intersection(u,intersection(v,symmetric_difference(universal_class,w)))),w)* -> equal(intersection(u,intersection(v,symmetric_difference(universal_class,w))),identity_relation).
% 299.85/300.44  237946[5:Res:5581.1,610.0] ||  -> equal(intersection(u,intersection(cantor(inverse(v)),w)),identity_relation) member(regular(intersection(u,intersection(cantor(inverse(v)),w))),range_of(v))*.
% 299.85/300.44  237940[5:Res:5581.1,119626.0] ||  -> equal(intersection(u,intersection(symmetric_difference(universal_class,v),w)),identity_relation) member(regular(intersection(u,intersection(symmetric_difference(universal_class,v),w))),complement(v))*.
% 299.85/300.44  237939[5:Res:5581.1,119659.0] || member(regular(intersection(u,intersection(symmetric_difference(universal_class,v),w))),v)* -> equal(intersection(u,intersection(symmetric_difference(universal_class,v),w)),identity_relation).
% 299.85/300.44  238742[5:Res:5605.1,610.0] ||  -> equal(intersection(intersection(u,cantor(inverse(v))),w),identity_relation) member(regular(intersection(intersection(u,cantor(inverse(v))),w)),range_of(v))*.
% 299.85/300.44  238736[5:Res:5605.1,119626.0] ||  -> equal(intersection(intersection(u,symmetric_difference(universal_class,v)),w),identity_relation) member(regular(intersection(intersection(u,symmetric_difference(universal_class,v)),w)),complement(v))*.
% 299.85/300.44  238735[5:Res:5605.1,119659.0] || member(regular(intersection(intersection(u,symmetric_difference(universal_class,v)),w)),v)* -> equal(intersection(intersection(u,symmetric_difference(universal_class,v)),w),identity_relation).
% 299.85/300.44  239536[5:Res:5606.1,610.0] ||  -> equal(intersection(intersection(cantor(inverse(u)),v),w),identity_relation) member(regular(intersection(intersection(cantor(inverse(u)),v),w)),range_of(u))*.
% 299.85/300.44  239530[5:Res:5606.1,119626.0] ||  -> equal(intersection(intersection(symmetric_difference(universal_class,u),v),w),identity_relation) member(regular(intersection(intersection(symmetric_difference(universal_class,u),v),w)),complement(u))*.
% 299.85/300.44  239529[5:Res:5606.1,119659.0] || member(regular(intersection(intersection(symmetric_difference(universal_class,u),v),w)),u)* -> equal(intersection(intersection(symmetric_difference(universal_class,u),v),w),identity_relation).
% 299.85/300.44  240369[5:Res:5604.2,5405.0] || subclass(u,regular(v)) member(regular(intersection(u,w)),v)* -> equal(intersection(u,w),identity_relation) equal(v,identity_relation).
% 299.85/300.44  240365[5:Res:5604.2,595.0] || subclass(u,restrict(v,w,x))* -> equal(intersection(u,y),identity_relation) member(regular(intersection(u,y)),cross_product(w,x))*.
% 299.85/300.44  240344[5:Res:5604.2,8165.1] || subclass(u,intersection(v,w)) member(regular(intersection(u,x)),symmetric_difference(v,w))* -> equal(intersection(u,x),identity_relation).
% 299.85/300.44  240962[5:Res:5579.2,5405.0] || subclass(u,regular(v)) member(regular(intersection(w,u)),v)* -> equal(intersection(w,u),identity_relation) equal(v,identity_relation).
% 299.85/300.44  240958[5:Res:5579.2,595.0] || subclass(u,restrict(v,w,x))* -> equal(intersection(y,u),identity_relation) member(regular(intersection(y,u)),cross_product(w,x))*.
% 299.85/300.44  240937[5:Res:5579.2,8165.1] || subclass(u,intersection(v,w)) member(regular(intersection(x,u)),symmetric_difference(v,w))* -> equal(intersection(x,u),identity_relation).
% 299.85/300.44  241380[5:Obv:241360.1] || subclass(regular(union(u,v)),symmetric_difference(u,v))* -> equal(regular(union(u,v)),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.44  241381[5:Obv:241342.1] || subclass(intersection(u,singleton(v)),symmetric_difference(w,x))* -> equal(intersection(u,singleton(v)),identity_relation) member(v,union(w,x)).
% 299.85/300.44  241382[5:Obv:241341.1] || subclass(intersection(singleton(u),v),symmetric_difference(w,x))* -> equal(intersection(singleton(u),v),identity_relation) member(u,union(w,x)).
% 299.85/300.44  241527[5:Res:233486.0,5316.0] || subclass(segment(universal_class,u,universal_class),v) -> equal(cantor(cross_product(u,identity_relation)),identity_relation) member(regular(cantor(cross_product(u,identity_relation))),v)*.
% 299.85/300.44  241513[5:Res:45938.0,5316.0] || subclass(range_of(u),v) -> equal(intersection(w,cantor(inverse(u))),identity_relation) member(regular(intersection(w,cantor(inverse(u)))),v)*.
% 299.85/300.44  241511[5:Res:45849.0,5316.0] || subclass(range_of(u),v) -> equal(intersection(cantor(inverse(u)),w),identity_relation) member(regular(intersection(cantor(inverse(u)),w)),v)*.
% 299.85/300.44  241495[15:Res:191820.0,5316.0] || subclass(symmetric_difference(universal_class,range_of(identity_relation)),u) -> equal(complement(successor(range_of(identity_relation))),identity_relation) member(regular(complement(successor(range_of(identity_relation)))),u)*.
% 299.85/300.44  241492[5:Res:86316.0,5316.0] || subclass(intersection(complement(u),complement(inverse(u))),v)* -> equal(complement(symmetrization_of(u)),identity_relation) member(regular(complement(symmetrization_of(u))),v).
% 299.85/300.44  241491[5:Res:86317.0,5316.0] || subclass(intersection(complement(u),complement(singleton(u))),v)* -> equal(complement(successor(u)),identity_relation) member(regular(complement(successor(u))),v).
% 299.85/300.44  241489[5:Res:47940.0,5316.0] || subclass(range_of(u),v) -> equal(complement(complement(cantor(inverse(u)))),identity_relation) member(regular(complement(complement(cantor(inverse(u))))),v)*.
% 299.85/300.44  241484[5:Res:22635.0,5316.0] || subclass(complement(cantor(inverse(u))),v) -> equal(symmetric_difference(range_of(u),universal_class),identity_relation) member(regular(symmetric_difference(range_of(u),universal_class)),v)*.
% 299.85/300.44  241482[5:Res:146221.1,5316.0] || subclass(u,v) subclass(complement(u),w) -> equal(symmetric_difference(v,u),identity_relation) member(regular(symmetric_difference(v,u)),w)*.
% 299.85/300.44  241564[5:Rew:46828.2,241522.3] || section(u,singleton(v),w)* subclass(singleton(v),x)* -> equal(segment(u,w,v),identity_relation) member(v,x).
% 299.85/300.44  241722[5:SpR:22914.0,8335.1] ||  -> subclass(symmetric_difference(union(u,identity_relation),universal_class),v) member(not_subclass_element(symmetric_difference(union(u,identity_relation),universal_class),v),complement(symmetric_difference(complement(u),universal_class)))*.
% 299.85/300.44  241931[5:Rew:118447.0,241733.1] ||  -> subclass(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),v) member(not_subclass_element(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),v),union(u,identity_relation))*.
% 299.85/300.44  242032[0:Res:783.1,8150.0] || subclass(ordered_pair(u,v),symmetric_difference(cross_product(w,x),y)) -> member(unordered_pair(u,singleton(v)),complement(restrict(y,w,x)))*.
% 299.85/300.44  242014[17:Res:195388.1,8150.0] || subclass(domain_relation,flip(symmetric_difference(cross_product(u,v),w))) -> member(ordered_pair(ordered_pair(x,y),identity_relation),complement(restrict(w,u,v)))*.
% 299.85/300.44  242010[17:Res:195387.1,8150.0] || subclass(domain_relation,rotate(symmetric_difference(cross_product(u,v),w))) -> member(ordered_pair(ordered_pair(x,identity_relation),y),complement(restrict(w,u,v)))*.
% 299.85/300.44  242304[0:Res:783.1,8147.0] || subclass(ordered_pair(u,v),symmetric_difference(w,cross_product(x,y))) -> member(unordered_pair(u,singleton(v)),complement(restrict(w,x,y)))*.
% 299.85/300.44  242286[17:Res:195388.1,8147.0] || subclass(domain_relation,flip(symmetric_difference(u,cross_product(v,w)))) -> member(ordered_pair(ordered_pair(x,y),identity_relation),complement(restrict(u,v,w)))*.
% 299.85/300.44  242282[17:Res:195387.1,8147.0] || subclass(domain_relation,rotate(symmetric_difference(u,cross_product(v,w)))) -> member(ordered_pair(ordered_pair(x,identity_relation),y),complement(restrict(u,v,w)))*.
% 299.85/300.44  242429[0:Res:783.1,756.0] || subclass(ordered_pair(u,v),cantor(restrict(w,x,singleton(y))))* -> member(unordered_pair(u,singleton(v)),segment(w,x,y)).
% 299.85/300.44  242420[0:Res:765.2,756.0] || member(u,universal_class) subclass(universal_class,cantor(restrict(v,w,singleton(x))))* -> member(sum_class(u),segment(v,w,x))*.
% 299.85/300.44  242417[0:Res:764.2,756.0] || member(u,universal_class) subclass(universal_class,cantor(restrict(v,w,singleton(x))))* -> member(power_class(u),segment(v,w,x))*.
% 299.85/300.44  242414[0:Res:766.2,756.0] || subclass(u,cantor(restrict(v,w,singleton(x)))) -> subclass(u,y) member(not_subclass_element(u,y),segment(v,w,x))*.
% 299.85/300.44  242411[17:Res:195388.1,756.0] || subclass(domain_relation,flip(cantor(restrict(u,v,singleton(w))))) -> member(ordered_pair(ordered_pair(x,y),identity_relation),segment(u,v,w))*.
% 299.85/300.44  242407[17:Res:195387.1,756.0] || subclass(domain_relation,rotate(cantor(restrict(u,v,singleton(w))))) -> member(ordered_pair(ordered_pair(x,identity_relation),y),segment(u,v,w))*.
% 299.85/300.44  242369[5:SpL:200704.1,756.0] || equal(u,universal_class) member(v,cantor(restrict(w,x,identity_relation)))* -> inductive(u) member(v,segment(w,x,u))*.
% 299.85/300.44  242575[0:SpL:9097.0,3644.0] || equal(segment(cross_product(u,v),w,x),v) subclass(v,u) -> section(cross_product(w,singleton(x)),v,u)*.
% 299.85/300.44  242574[0:SpL:9097.0,134.1] || subclass(u,v) subclass(segment(cross_product(v,u),w,x),u)* -> section(cross_product(w,singleton(x)),u,v).
% 299.85/300.44  242571[0:SpL:9097.0,122838.1] || subclass(rest_relation,rest_of(restrict(cross_product(u,singleton(v)),w,x)))* well_ordering(universal_class,segment(cross_product(w,x),u,v)) -> .
% 299.85/300.44  242570[7:SpL:9097.0,176818.1] || member(identity_relation,cantor(restrict(cross_product(u,singleton(v)),w,x)))* well_ordering(universal_class,segment(cross_product(w,x),u,v)) -> .
% 299.85/300.44  242569[0:SpL:9097.0,40700.0] || member(restrict(cross_product(u,singleton(v)),w,x),segment(cross_product(w,x),u,v))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.44  242564[5:SpL:9097.0,203726.0] || equal(complement(segment(cross_product(u,v),w,x)),identity_relation) -> equal(cantor(restrict(cross_product(w,singleton(x)),u,v)),universal_class)**.
% 299.85/300.44  242563[5:SpL:9097.0,194882.0] || equal(complement(segment(cross_product(u,v),w,x)),universal_class) -> equal(cantor(restrict(cross_product(w,singleton(x)),u,v)),identity_relation)**.
% 299.85/300.44  242548[0:SpR:9097.0,45832.1] || member(u,cantor(restrict(cross_product(v,singleton(w)),x,y)))* -> subclass(singleton(u),segment(cross_product(x,y),v,w)).
% 299.85/300.44  242532[7:SpR:9097.0,193112.1] || equal(cantor(restrict(cross_product(u,singleton(v)),w,x)),singleton(identity_relation))** -> member(identity_relation,segment(cross_product(w,x),u,v)).
% 299.85/300.44  243903[21:Rew:22454.0,243902.1] || member(u,universal_class) well_ordering(v,universal_class) -> member(u,complement(inverse(identity_relation)))* member(least(v,symmetrization_of(identity_relation)),symmetrization_of(identity_relation))*.
% 299.85/300.44  244662[21:Res:783.1,243787.1] || subclass(ordered_pair(u,v),complement(compose(complement(element_relation),inverse(element_relation))))* member(unordered_pair(u,singleton(v)),cross_product(universal_class,universal_class)) -> .
% 299.85/300.44  244652[21:Res:765.2,243787.1] || member(u,universal_class) subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(sum_class(u),cross_product(universal_class,universal_class))* -> .
% 299.85/300.44  244649[21:Res:764.2,243787.1] || member(u,universal_class) subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(power_class(u),cross_product(universal_class,universal_class))* -> .
% 299.85/300.44  244646[21:Res:766.2,243787.1] || subclass(u,complement(compose(complement(element_relation),inverse(element_relation))))* member(not_subclass_element(u,v),cross_product(universal_class,universal_class))* -> subclass(u,v).
% 299.85/300.44  244643[21:Res:195388.1,243787.1] || subclass(domain_relation,flip(complement(compose(complement(element_relation),inverse(element_relation))))) member(ordered_pair(ordered_pair(u,v),identity_relation),cross_product(universal_class,universal_class))* -> .
% 299.85/300.44  244639[21:Res:195387.1,243787.1] || subclass(domain_relation,rotate(complement(compose(complement(element_relation),inverse(element_relation))))) member(ordered_pair(ordered_pair(u,identity_relation),v),cross_product(universal_class,universal_class))* -> .
% 299.85/300.44  244631[21:Res:5220.1,243787.1] || member(regular(complement(compose(complement(element_relation),inverse(element_relation)))),cross_product(universal_class,universal_class))* -> equal(complement(compose(complement(element_relation),inverse(element_relation))),identity_relation).
% 299.85/300.44  245853[0:Res:30217.2,2.0] || member(u,universal_class) equal(successor(singleton(u)),u) subclass(successor_relation,v) -> member(singleton(singleton(singleton(u))),v)*.
% 299.85/300.44  246183[7:SpL:619.0,189304.1] inductive(intersection(power_class(image(element_relation,complement(u))),complement(v))) || equal(union(image(element_relation,power_class(u)),v),singleton(identity_relation))** -> .
% 299.85/300.44  246609[7:SpL:621.0,189304.1] inductive(intersection(complement(u),power_class(image(element_relation,complement(v))))) || equal(union(u,image(element_relation,power_class(v))),singleton(identity_relation))** -> .
% 299.85/300.44  247909[5:Res:5288.2,20349.2] || subclass(omega,u) member(v,universal_class) subclass(rest_relation,complement(u))* -> equal(integer_of(ordered_pair(v,rest_of(v))),identity_relation)**.
% 299.85/300.44  247952[5:MRR:247883.0,641.0] || member(u,universal_class) subclass(rest_relation,complement(domain_of(v))) -> equal(apply(v,ordered_pair(u,rest_of(u))),sum_class(range_of(identity_relation)))**.
% 299.85/300.44  248330[0:SpR:20365.2,598.0] || member(u,universal_class) subclass(rest_relation,rest_of(cross_product(v,w))) -> equal(restrict(cross_product(u,universal_class),v,w),rest_of(u))**.
% 299.85/300.44  248327[0:SpR:20365.2,9093.0] || member(u,universal_class) subclass(rest_relation,rest_of(cross_product(v,universal_class)))* -> equal(image(cross_product(u,universal_class),v),range_of(rest_of(u)))**.
% 299.85/300.44  248372[17:Rew:226282.1,248331.2] || member(u,universal_class) subclass(rest_relation,rest_of(cross_product(v,singleton(w))))* -> equal(segment(cross_product(u,universal_class),v,w),identity_relation)**.
% 299.85/300.44  248373[5:Rew:20365.2,248315.2] || member(u,universal_class) subclass(rest_relation,rest_of(v))* -> equal(rest_of(u),identity_relation) member(regular(rest_of(u)),cross_product(u,universal_class))*.
% 299.85/300.44  248723[0:Res:24180.2,2.0] || member(u,universal_class) equal(rest_of(u),successor(u)) subclass(successor_relation,v) -> member(ordered_pair(u,rest_of(u)),v)*.
% 299.85/300.44  249240[0:Rew:249197.0,20958.0] ||  -> equal(complement(intersection(complement(u),union(v,image(element_relation,power_class(w))))),union(u,intersection(complement(v),power_class(complement(power_class(w))))))**.
% 299.85/300.44  249287[0:Rew:249197.0,20905.0] ||  -> equal(complement(intersection(union(u,image(element_relation,power_class(v))),complement(w))),union(intersection(complement(u),power_class(complement(power_class(v)))),w))**.
% 299.85/300.44  249288[5:Rew:249197.0,246574.1] || equal(complement(union(u,image(element_relation,power_class(v)))),identity_relation) subclass(universal_class,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249289[20:Rew:249197.0,246621.0] || subclass(universal_class,intersection(complement(u),power_class(complement(power_class(v))))) subclass(symmetrization_of(identity_relation),union(u,image(element_relation,power_class(v))))* -> .
% 299.85/300.44  249299[5:Rew:249197.0,246576.1] || equal(complement(union(u,image(element_relation,power_class(v)))),identity_relation) member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249300[7:Rew:249197.0,246577.1] || equal(complement(union(u,image(element_relation,power_class(v)))),singleton(identity_relation)) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249301[5:Rew:249197.0,246580.1] || equal(complement(complement(union(u,image(element_relation,power_class(v))))),identity_relation) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249302[7:Rew:249197.0,246611.1] || subclass(singleton(identity_relation),union(u,image(element_relation,power_class(v)))) member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249303[5:Rew:249197.0,246622.1] || equal(union(union(u,image(element_relation,power_class(v))),identity_relation),identity_relation) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249304[5:Rew:249197.0,246624.1] || equal(symmetric_difference(universal_class,union(u,image(element_relation,power_class(v)))),universal_class) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249305[14:Rew:249197.0,246626.1] || equal(symmetric_difference(universal_class,union(u,image(element_relation,power_class(v)))),omega) -> member(identity_relation,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249326[7:Rew:249197.0,246425.1] ||  -> member(identity_relation,image(element_relation,union(u,image(element_relation,power_class(v)))))* member(identity_relation,power_class(intersection(complement(u),power_class(complement(power_class(v)))))).
% 299.85/300.44  249337[5:Rew:249197.0,246575.1] || equal(complement(union(u,image(element_relation,power_class(v)))),identity_relation) equal(intersection(complement(u),power_class(complement(power_class(v)))),universal_class)** -> .
% 299.85/300.44  249338[7:Rew:249197.0,246607.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),universal_class)** equal(union(u,image(element_relation,power_class(v))),singleton(identity_relation)) -> .
% 299.85/300.44  249339[20:Rew:249197.0,246627.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),universal_class)** equal(union(u,image(element_relation,power_class(v))),symmetrization_of(identity_relation)) -> .
% 299.85/300.44  249344[5:Rew:249197.0,246573.1] || equal(complement(union(u,image(element_relation,power_class(v)))),identity_relation) member(omega,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249345[5:Rew:249197.0,246579.1] || equal(complement(complement(union(u,image(element_relation,power_class(v))))),identity_relation) -> member(omega,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249346[5:Rew:249197.0,246623.1] || equal(union(union(u,image(element_relation,power_class(v))),identity_relation),identity_relation) -> member(omega,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249347[5:Rew:249197.0,246625.1] || equal(symmetric_difference(universal_class,union(u,image(element_relation,power_class(v)))),universal_class) -> member(omega,intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249352[0:Rew:249197.0,246564.1] || equal(complement(union(u,image(element_relation,power_class(v)))),universal_class) well_ordering(universal_class,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249357[14:Rew:249197.0,246608.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),omega)** equal(union(u,image(element_relation,power_class(v))),singleton(identity_relation)) -> .
% 299.85/300.44  249360[5:Rew:249197.0,246572.1] || equal(complement(union(u,image(element_relation,power_class(v)))),identity_relation) subclass(domain_relation,intersection(complement(u),power_class(complement(power_class(v)))))* -> .
% 299.85/300.44  249365[5:Rew:249197.0,246616.1] || subclass(union(u,image(element_relation,power_class(v))),identity_relation) -> equal(complement(successor(intersection(complement(u),power_class(complement(power_class(v)))))),identity_relation)**.
% 299.85/300.44  249366[5:Rew:249197.0,246615.0] || equal(successor(intersection(complement(u),power_class(complement(power_class(v))))),identity_relation)** subclass(union(u,image(element_relation,power_class(v))),identity_relation) -> .
% 299.85/300.44  249367[5:Rew:249197.0,246614.1] || subclass(union(u,image(element_relation,power_class(v))),identity_relation) subclass(successor(intersection(complement(u),power_class(complement(power_class(v))))),identity_relation)* -> .
% 299.85/300.44  249368[5:Rew:249197.0,246613.1] || subclass(union(u,image(element_relation,power_class(v))),identity_relation) -> equal(complement(symmetrization_of(intersection(complement(u),power_class(complement(power_class(v)))))),identity_relation)**.
% 299.85/300.44  249369[5:Rew:249197.0,246612.0] || equal(symmetrization_of(intersection(complement(u),power_class(complement(power_class(v))))),identity_relation)** subclass(union(u,image(element_relation,power_class(v))),identity_relation) -> .
% 299.85/300.44  249370[14:Rew:249197.0,246594.0] || equal(intersection(complement(u),power_class(complement(power_class(v)))),singleton(identity_relation))** equal(union(u,image(element_relation,power_class(v))),omega) -> .
% 299.85/300.44  249371[0:Rew:249197.0,246570.1] || subclass(universal_class,complement(union(u,image(element_relation,power_class(v))))) -> member(singleton(w),intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249372[5:Rew:249197.0,246567.1] || subclass(universal_class,complement(union(u,image(element_relation,power_class(v))))) -> member(power_class(identity_relation),intersection(complement(u),power_class(complement(power_class(v)))))*.
% 299.85/300.44  249415[0:Rew:249197.0,20969.0] ||  -> equal(complement(intersection(complement(u),union(image(element_relation,power_class(v)),w))),union(u,intersection(power_class(complement(power_class(v))),complement(w))))**.
% 299.85/300.44  249429[0:Rew:249197.0,21252.1] || member(u,universal_class) subclass(power_class(complement(power_class(v))),w)* -> member(u,image(element_relation,power_class(v)))* member(u,w)*.
% 299.85/300.44  249443[17:Rew:249197.0,234073.1] || member(u,universal_class) subclass(domain_relation,power_class(complement(power_class(v)))) member(ordered_pair(u,identity_relation),image(element_relation,power_class(v)))* -> .
% 299.85/300.44  249448[0:Rew:249197.0,237045.0] || equal(u,power_class(complement(power_class(v))))* member(w,universal_class) -> member(w,image(element_relation,power_class(v)))* member(w,u)*.
% 299.85/300.44  249661[0:Rew:249197.0,20916.0] ||  -> equal(complement(intersection(union(image(element_relation,power_class(u)),v),complement(w))),union(intersection(power_class(complement(power_class(u))),complement(v)),w))**.
% 299.85/300.44  249662[5:Rew:249197.0,246148.1] || equal(complement(union(image(element_relation,power_class(u)),v)),identity_relation) subclass(universal_class,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249663[20:Rew:249197.0,246195.0] || subclass(universal_class,intersection(power_class(complement(power_class(u))),complement(v))) subclass(symmetrization_of(identity_relation),union(image(element_relation,power_class(u)),v))* -> .
% 299.85/300.44  249673[5:Rew:249197.0,246150.1] || equal(complement(union(image(element_relation,power_class(u)),v)),identity_relation) member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249674[7:Rew:249197.0,246151.1] || equal(complement(union(image(element_relation,power_class(u)),v)),singleton(identity_relation)) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249675[5:Rew:249197.0,246154.1] || equal(complement(complement(union(image(element_relation,power_class(u)),v))),identity_relation) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249676[7:Rew:249197.0,246185.1] || subclass(singleton(identity_relation),union(image(element_relation,power_class(u)),v)) member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249677[5:Rew:249197.0,246196.1] || equal(union(union(image(element_relation,power_class(u)),v),identity_relation),identity_relation) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249678[5:Rew:249197.0,246198.1] || equal(symmetric_difference(universal_class,union(image(element_relation,power_class(u)),v)),universal_class) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249679[14:Rew:249197.0,246200.1] || equal(symmetric_difference(universal_class,union(image(element_relation,power_class(u)),v)),omega) -> member(identity_relation,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249700[7:Rew:249197.0,246000.1] ||  -> member(identity_relation,image(element_relation,union(image(element_relation,power_class(u)),v)))* member(identity_relation,power_class(intersection(power_class(complement(power_class(u))),complement(v)))).
% 299.85/300.44  249711[5:Rew:249197.0,246149.1] || equal(complement(union(image(element_relation,power_class(u)),v)),identity_relation) equal(intersection(power_class(complement(power_class(u))),complement(v)),universal_class)** -> .
% 299.85/300.44  249712[7:Rew:249197.0,246181.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),universal_class)** equal(union(image(element_relation,power_class(u)),v),singleton(identity_relation)) -> .
% 299.85/300.44  249713[20:Rew:249197.0,246201.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),universal_class)** equal(union(image(element_relation,power_class(u)),v),symmetrization_of(identity_relation)) -> .
% 299.85/300.44  249718[5:Rew:249197.0,246147.1] || equal(complement(union(image(element_relation,power_class(u)),v)),identity_relation) member(omega,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249719[5:Rew:249197.0,246153.1] || equal(complement(complement(union(image(element_relation,power_class(u)),v))),identity_relation) -> member(omega,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249720[5:Rew:249197.0,246197.1] || equal(union(union(image(element_relation,power_class(u)),v),identity_relation),identity_relation) -> member(omega,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249721[5:Rew:249197.0,246199.1] || equal(symmetric_difference(universal_class,union(image(element_relation,power_class(u)),v)),universal_class) -> member(omega,intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249726[0:Rew:249197.0,246138.1] || equal(complement(union(image(element_relation,power_class(u)),v)),universal_class) well_ordering(universal_class,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249731[14:Rew:249197.0,246182.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),omega)** equal(union(image(element_relation,power_class(u)),v),singleton(identity_relation)) -> .
% 299.85/300.44  249734[5:Rew:249197.0,246146.1] || equal(complement(union(image(element_relation,power_class(u)),v)),identity_relation) subclass(domain_relation,intersection(power_class(complement(power_class(u))),complement(v)))* -> .
% 299.85/300.44  249739[5:Rew:249197.0,246190.1] || subclass(union(image(element_relation,power_class(u)),v),identity_relation) -> equal(complement(successor(intersection(power_class(complement(power_class(u))),complement(v)))),identity_relation)**.
% 299.85/300.44  249740[5:Rew:249197.0,246189.0] || equal(successor(intersection(power_class(complement(power_class(u))),complement(v))),identity_relation)** subclass(union(image(element_relation,power_class(u)),v),identity_relation) -> .
% 299.85/300.44  249741[5:Rew:249197.0,246188.1] || subclass(union(image(element_relation,power_class(u)),v),identity_relation) subclass(successor(intersection(power_class(complement(power_class(u))),complement(v))),identity_relation)* -> .
% 299.85/300.44  249742[5:Rew:249197.0,246187.1] || subclass(union(image(element_relation,power_class(u)),v),identity_relation) -> equal(complement(symmetrization_of(intersection(power_class(complement(power_class(u))),complement(v)))),identity_relation)**.
% 299.85/300.44  249743[5:Rew:249197.0,246186.0] || equal(symmetrization_of(intersection(power_class(complement(power_class(u))),complement(v))),identity_relation)** subclass(union(image(element_relation,power_class(u)),v),identity_relation) -> .
% 299.85/300.44  249744[14:Rew:249197.0,246168.0] || equal(intersection(power_class(complement(power_class(u))),complement(v)),singleton(identity_relation))** equal(union(image(element_relation,power_class(u)),v),omega) -> .
% 299.85/300.44  249745[0:Rew:249197.0,246144.1] || subclass(universal_class,complement(union(image(element_relation,power_class(u)),v))) -> member(singleton(w),intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249746[5:Rew:249197.0,246141.1] || subclass(universal_class,complement(union(image(element_relation,power_class(u)),v))) -> member(power_class(identity_relation),intersection(power_class(complement(power_class(u))),complement(v)))*.
% 299.85/300.44  249855[5:Rew:249197.0,246076.0] ||  -> equal(complement(intersection(power_class(complement(power_class(u))),power_class(complement(inverse(identity_relation))))),union(image(element_relation,power_class(u)),image(element_relation,symmetrization_of(identity_relation))))**.
% 299.85/300.44  249856[7:Rew:249197.0,246074.0] ||  -> equal(complement(intersection(power_class(complement(power_class(u))),power_class(complement(singleton(identity_relation))))),union(image(element_relation,power_class(u)),image(element_relation,singleton(identity_relation))))**.
% 299.85/300.44  249865[5:Rew:249197.0,246529.0] ||  -> equal(complement(intersection(power_class(complement(inverse(identity_relation))),power_class(complement(power_class(u))))),union(image(element_relation,symmetrization_of(identity_relation)),image(element_relation,power_class(u))))**.
% 299.85/300.44  249866[7:Rew:249197.0,246527.0] ||  -> equal(complement(intersection(power_class(complement(singleton(identity_relation))),power_class(complement(power_class(u))))),union(image(element_relation,singleton(identity_relation)),image(element_relation,power_class(u))))**.
% 299.85/300.44  250051[0:Rew:249197.0,244962.0] ||  -> equal(intersection(intersection(power_class(u),complement(inverse(complement(power_class(u))))),complement(symmetrization_of(complement(power_class(u))))),complement(symmetrization_of(complement(power_class(u)))))**.
% 299.85/300.44  250176[0:Rew:249197.0,245375.0] ||  -> equal(intersection(intersection(power_class(u),complement(singleton(complement(power_class(u))))),complement(successor(complement(power_class(u))))),complement(successor(complement(power_class(u)))))**.
% 299.85/300.44  251002[0:Rew:249197.0,249452.0] ||  -> equal(complement(intersection(power_class(complement(power_class(u))),power_class(complement(power_class(v))))),union(image(element_relation,power_class(u)),image(element_relation,power_class(v))))**.
% 299.85/300.44  251003[0:Rew:249197.0,249496.2] || member(u,universal_class) -> member(u,intersection(power_class(v),complement(inverse(complement(power_class(v))))))* member(u,symmetrization_of(complement(power_class(v)))).
% 299.85/300.44  251004[0:Rew:249197.0,249512.2] || member(u,universal_class) -> member(u,intersection(power_class(v),complement(singleton(complement(power_class(v))))))* member(u,successor(complement(power_class(v)))).
% 299.85/300.44  251009[0:Rew:249197.0,250061.0] || subclass(complement(inverse(complement(power_class(u)))),power_class(u))* -> equal(complement(complement(inverse(complement(power_class(u))))),symmetrization_of(complement(power_class(u)))).
% 299.85/300.44  251010[0:Rew:249197.0,250186.0] || subclass(complement(singleton(complement(power_class(u)))),power_class(u))* -> equal(complement(complement(singleton(complement(power_class(u))))),successor(complement(power_class(u)))).
% 299.85/300.44  251052[5:Rew:249197.0,249964.0] || subclass(symmetrization_of(complement(power_class(u))),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> equal(symmetrization_of(complement(power_class(u))),identity_relation).
% 299.85/300.44  251053[5:Rew:249197.0,250011.0] || subclass(intersection(power_class(u),complement(inverse(complement(power_class(u))))),symmetrization_of(complement(power_class(u))))* -> subclass(universal_class,symmetrization_of(complement(power_class(u)))).
% 299.85/300.44  251055[5:Rew:249197.0,250091.0] || subclass(successor(complement(power_class(u))),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> equal(successor(complement(power_class(u))),identity_relation).
% 299.85/300.44  251056[5:Rew:249197.0,250136.0] || subclass(intersection(power_class(u),complement(singleton(complement(power_class(u))))),successor(complement(power_class(u))))* -> subclass(universal_class,successor(complement(power_class(u)))).
% 299.85/300.44  252545[10:Rew:251767.0,251813.2] || subclass(complement(power_class(universal_class)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(power_class(universal_class))))),identity_relation)**.
% 299.85/300.44  252546[11:Rew:251768.0,251994.2] || subclass(complement(power_class(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(power_class(identity_relation))))),identity_relation)**.
% 299.85/300.44  252848[0:SpL:249200.0,8157.0] || member(u,symmetric_difference(complement(v),union(w,complement(power_class(x)))))* -> member(u,union(v,intersection(complement(w),power_class(x)))).
% 299.85/300.44  252835[0:SpL:249200.0,8157.0] || member(u,symmetric_difference(union(v,complement(power_class(w))),complement(x)))* -> member(u,union(intersection(complement(v),power_class(w)),x)).
% 299.85/300.44  252801[5:SpL:249200.0,5360.0] || subclass(omega,union(u,complement(power_class(v)))) member(w,intersection(complement(u),power_class(v)))* -> equal(integer_of(w),identity_relation).
% 299.85/300.44  252736[0:SpR:579.0,249200.0] ||  -> equal(complement(intersection(power_class(intersection(complement(u),complement(v))),power_class(w))),union(image(element_relation,union(u,v)),complement(power_class(w))))**.
% 299.85/300.44  252730[5:SpR:122711.0,249200.0] ||  -> equal(union(intersection(complement(u),union(v,identity_relation)),complement(power_class(w))),complement(intersection(union(u,symmetric_difference(universal_class,v)),power_class(w))))**.
% 299.85/300.44  252729[5:SpR:122708.0,249200.0] ||  -> equal(union(intersection(union(u,identity_relation),complement(v)),complement(power_class(w))),complement(intersection(union(symmetric_difference(universal_class,u),v),power_class(w))))**.
% 299.85/300.44  252713[0:SpR:249200.0,8335.1] ||  -> subclass(symmetric_difference(complement(u),power_class(v)),w) member(not_subclass_element(symmetric_difference(complement(u),power_class(v)),w),union(u,complement(power_class(v))))*.
% 299.85/300.44  252707[5:SpR:249200.0,122708.0] ||  -> equal(complement(intersection(union(u,identity_relation),union(v,complement(power_class(w))))),union(symmetric_difference(universal_class,u),intersection(complement(v),power_class(w))))**.
% 299.85/300.44  252679[5:SpR:249200.0,122711.0] ||  -> equal(complement(intersection(union(u,complement(power_class(v))),union(w,identity_relation))),union(intersection(complement(u),power_class(v)),symmetric_difference(universal_class,w)))**.
% 299.85/300.44  252659[0:SpR:249200.0,9004.0] ||  -> subclass(symmetric_difference(union(u,complement(power_class(v))),complement(inverse(intersection(complement(u),power_class(v))))),symmetrization_of(intersection(complement(u),power_class(v))))*.
% 299.85/300.44  252642[0:SpR:249200.0,9005.0] ||  -> subclass(symmetric_difference(union(u,complement(power_class(v))),complement(singleton(intersection(complement(u),power_class(v))))),successor(intersection(complement(u),power_class(v))))*.
% 299.85/300.44  252916[5:Rew:249200.0,252795.1] || member(regular(union(u,complement(power_class(v)))),intersection(complement(u),power_class(v)))* -> equal(union(u,complement(power_class(v))),identity_relation).
% 299.85/300.44  252919[0:Rew:249200.0,252705.1] ||  -> member(not_subclass_element(u,union(v,complement(power_class(w)))),intersection(complement(v),power_class(w)))* subclass(u,union(v,complement(power_class(w)))).
% 299.85/300.44  253182[0:SpL:249208.0,8157.0] || member(u,symmetric_difference(complement(v),union(complement(power_class(w)),x)))* -> member(u,union(v,intersection(power_class(w),complement(x)))).
% 299.85/300.44  253168[0:SpL:249208.0,8157.0] || member(u,symmetric_difference(union(complement(power_class(v)),w),complement(x)))* -> member(u,union(intersection(power_class(v),complement(w)),x)).
% 299.85/300.44  253134[5:SpL:249208.0,5360.0] || subclass(omega,union(complement(power_class(u)),v)) member(w,intersection(power_class(u),complement(v)))* -> equal(integer_of(w),identity_relation).
% 299.85/300.44  253063[0:SpR:579.0,249208.0] ||  -> equal(complement(intersection(power_class(u),power_class(intersection(complement(v),complement(w))))),union(complement(power_class(u)),image(element_relation,union(v,w))))**.
% 299.85/300.44  253056[5:SpR:122711.0,249208.0] ||  -> equal(union(complement(power_class(u)),intersection(complement(v),union(w,identity_relation))),complement(intersection(power_class(u),union(v,symmetric_difference(universal_class,w)))))**.
% 299.85/300.44  253055[5:SpR:122708.0,249208.0] ||  -> equal(union(complement(power_class(u)),intersection(union(v,identity_relation),complement(w))),complement(intersection(power_class(u),union(symmetric_difference(universal_class,v),w))))**.
% 299.85/300.44  253044[0:SpR:249208.0,8335.1] ||  -> subclass(symmetric_difference(power_class(u),complement(v)),w) member(not_subclass_element(symmetric_difference(power_class(u),complement(v)),w),union(complement(power_class(u)),v))*.
% 299.85/300.44  253037[5:SpR:249208.0,122708.0] ||  -> equal(complement(intersection(union(u,identity_relation),union(complement(power_class(v)),w))),union(symmetric_difference(universal_class,u),intersection(power_class(v),complement(w))))**.
% 299.85/300.44  253009[5:SpR:249208.0,122711.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),union(w,identity_relation))),union(intersection(power_class(u),complement(v)),symmetric_difference(universal_class,w)))**.
% 299.85/300.44  252989[0:SpR:249208.0,9004.0] ||  -> subclass(symmetric_difference(union(complement(power_class(u)),v),complement(inverse(intersection(power_class(u),complement(v))))),symmetrization_of(intersection(power_class(u),complement(v))))*.
% 299.85/300.44  252972[0:SpR:249208.0,9005.0] ||  -> subclass(symmetric_difference(union(complement(power_class(u)),v),complement(singleton(intersection(power_class(u),complement(v))))),successor(intersection(power_class(u),complement(v))))*.
% 299.85/300.44  253248[5:Rew:249208.0,253128.1] || member(regular(union(complement(power_class(u)),v)),intersection(power_class(u),complement(v)))* -> equal(union(complement(power_class(u)),v),identity_relation).
% 299.85/300.44  253251[0:Rew:249208.0,253035.1] ||  -> member(not_subclass_element(u,union(complement(power_class(v)),w)),intersection(power_class(v),complement(w)))* subclass(u,union(complement(power_class(v)),w)).
% 299.85/300.44  253446[17:Res:195177.2,249201.0] || member(u,universal_class) subclass(domain_relation,image(element_relation,power_class(v))) member(ordered_pair(u,identity_relation),power_class(complement(power_class(v))))* -> .
% 299.85/300.44  253602[0:SpR:252726.0,941.0] ||  -> equal(intersection(union(power_class(u),power_class(v)),complement(intersection(power_class(u),power_class(v)))),symmetric_difference(complement(power_class(u)),complement(power_class(v))))**.
% 299.85/300.44  253594[0:SpR:252726.0,5172.1] || subclass(universal_class,symmetric_difference(complement(power_class(u)),complement(power_class(v)))) -> member(unordered_pair(w,x),complement(intersection(power_class(u),power_class(v))))*.
% 299.85/300.44  253885[17:Res:195285.2,2.0] || member(u,universal_class) equal(compose(v,u),identity_relation)** subclass(compose_class(v),w)* -> member(ordered_pair(u,identity_relation),w)*.
% 299.85/300.44  254201[7:SpL:251758.0,21262.0] || equal(u,image(element_relation,singleton(identity_relation)))* member(v,universal_class) -> member(v,power_class(complement(singleton(identity_relation))))* member(v,u)*.
% 299.85/300.44  254196[7:SpL:251758.0,773.1] || member(u,universal_class) subclass(image(element_relation,singleton(identity_relation)),v)* -> member(u,power_class(complement(singleton(identity_relation))))* member(u,v)*.
% 299.85/300.44  254095[7:SpR:251758.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,power_class(complement(singleton(identity_relation)))))),union(u,intersection(complement(v),image(element_relation,singleton(identity_relation)))))**.
% 299.85/300.44  254088[7:SpR:251758.0,581.0] ||  -> equal(complement(intersection(complement(u),union(power_class(complement(singleton(identity_relation))),v))),union(u,intersection(image(element_relation,singleton(identity_relation)),complement(v))))**.
% 299.85/300.44  254085[7:SpR:251758.0,580.0] ||  -> equal(complement(intersection(union(u,power_class(complement(singleton(identity_relation)))),complement(v))),union(intersection(complement(u),image(element_relation,singleton(identity_relation))),v))**.
% 299.85/300.44  254039[7:SpR:251758.0,580.0] ||  -> equal(complement(intersection(union(power_class(complement(singleton(identity_relation))),u),complement(v))),union(intersection(image(element_relation,singleton(identity_relation)),complement(u)),v))**.
% 299.85/300.44  254457[5:SpL:251759.0,21262.0] || equal(u,image(element_relation,symmetrization_of(identity_relation)))* member(v,universal_class) -> member(v,power_class(complement(inverse(identity_relation))))* member(v,u)*.
% 299.85/300.44  254452[5:SpL:251759.0,773.1] || member(u,universal_class) subclass(image(element_relation,symmetrization_of(identity_relation)),v)* -> member(u,power_class(complement(inverse(identity_relation))))* member(u,v)*.
% 299.85/300.44  254352[5:SpR:251759.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,power_class(complement(inverse(identity_relation)))))),union(u,intersection(complement(v),image(element_relation,symmetrization_of(identity_relation)))))**.
% 299.85/300.44  254345[5:SpR:251759.0,581.0] ||  -> equal(complement(intersection(complement(u),union(power_class(complement(inverse(identity_relation))),v))),union(u,intersection(image(element_relation,symmetrization_of(identity_relation)),complement(v))))**.
% 299.85/300.44  254342[5:SpR:251759.0,580.0] ||  -> equal(complement(intersection(union(u,power_class(complement(inverse(identity_relation)))),complement(v))),union(intersection(complement(u),image(element_relation,symmetrization_of(identity_relation))),v))**.
% 299.85/300.44  254296[5:SpR:251759.0,580.0] ||  -> equal(complement(intersection(union(power_class(complement(inverse(identity_relation))),u),complement(v))),union(intersection(image(element_relation,symmetrization_of(identity_relation)),complement(u)),v))**.
% 299.85/300.44  254711[0:Res:249285.1,2.0] || member(u,universal_class) subclass(image(element_relation,power_class(v)),w)* -> member(u,power_class(complement(power_class(v))))* member(u,w)*.
% 299.85/300.44  254696[5:SpR:203228.1,249285.1] || equal(identity_relation,u) member(v,universal_class) -> member(v,image(element_relation,power_class(u)))* member(v,power_class(complement(power_class(identity_relation)))).
% 299.85/300.44  254695[5:SpR:203228.1,249285.1] || equal(identity_relation,u) member(v,universal_class) -> member(v,image(element_relation,power_class(identity_relation)))* member(v,power_class(complement(power_class(u))))*.
% 299.85/300.44  254846[7:Res:254821.0,5490.0] || subclass(successor(singleton(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,successor(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.44  254861[7:Res:254823.0,5490.0] || subclass(symmetrization_of(singleton(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,symmetrization_of(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.44  254940[0:SpL:21036.0,20350.1] || member(u,universal_class) subclass(rest_relation,symmetric_difference(complement(v),complement(inverse(v))))* -> member(ordered_pair(u,rest_of(u)),symmetrization_of(v))*.
% 299.85/300.44  254939[0:SpL:21037.0,20350.1] || member(u,universal_class) subclass(rest_relation,symmetric_difference(complement(v),complement(singleton(v))))* -> member(ordered_pair(u,rest_of(u)),successor(v))*.
% 299.85/300.44  255099[5:Res:5462.2,20559.1] || subclass(omega,symmetric_difference(u,v)) subclass(universal_class,intersection(complement(u),complement(v)))* -> equal(integer_of(unordered_pair(w,x)),identity_relation)**.
% 299.85/300.44  255096[5:Res:5288.2,20559.1] || subclass(omega,union(u,v)) subclass(universal_class,intersection(complement(u),complement(v)))* -> equal(integer_of(unordered_pair(w,x)),identity_relation)**.
% 299.85/300.44  255186[0:Res:7580.2,2.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w)) subclass(union(v,w),x)* -> member(power_class(u),x)*.
% 299.85/300.44  255534[5:Rew:200704.1,255513.2] || equal(u,universal_class) -> inductive(u) equal(cross_product(v,identity_relation),identity_relation) equal(segment(regular(cross_product(v,identity_relation)),v,u),identity_relation)**.
% 299.85/300.44  256007[5:Rew:14.0,255993.2] ||  -> equal(not_subclass_element(ordered_pair(u,v),omega),singleton(u))** equal(integer_of(unordered_pair(u,singleton(v))),identity_relation) subclass(ordered_pair(u,v),omega).
% 299.85/300.44  256009[5:Obv:255996.3] || subclass(unordered_pair(u,v),complement(w))* member(u,w) -> equal(integer_of(v),identity_relation) subclass(unordered_pair(u,v),omega).
% 299.85/300.44  256144[5:Res:5288.2,8097.1] || subclass(omega,u) subclass(v,regular(u))* -> equal(integer_of(regular(v)),identity_relation) equal(v,identity_relation) equal(u,identity_relation).
% 299.85/300.44  256236[5:MRR:256128.0,29542.1] || subclass(u,regular(union(v,w)))* -> member(regular(u),complement(v)) equal(u,identity_relation) equal(union(v,w),identity_relation).
% 299.85/300.44  256237[5:MRR:256127.0,29542.1] || subclass(u,regular(union(v,w)))* -> member(regular(u),complement(w)) equal(u,identity_relation) equal(union(v,w),identity_relation).
% 299.85/300.44  256238[5:MRR:256124.4,204341.2] || member(regular(u),v) member(regular(u),w) subclass(u,regular(intersection(w,v)))* -> equal(u,identity_relation).
% 299.85/300.44  256293[5:Rew:14.0,256278.2] ||  -> equal(not_subclass_element(ordered_pair(u,v),omega),unordered_pair(u,singleton(v)))** equal(integer_of(singleton(u)),identity_relation) subclass(ordered_pair(u,v),omega).
% 299.85/300.44  256295[5:Obv:256281.3] || subclass(unordered_pair(u,v),complement(w))* member(v,w) -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega).
% 299.85/300.44  256485[0:Res:7615.2,2.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w)) subclass(union(v,w),x)* -> member(sum_class(u),x)*.
% 299.85/300.44  256479[0:SpR:69.0,7615.2] || member(image(u,singleton(v)),universal_class) subclass(universal_class,symmetric_difference(w,x)) -> member(apply(u,v),union(w,x))*.
% 299.85/300.44  256649[5:SpL:5251.1,3675.0] || subclass(u,image(choice,singleton(singleton(u))))* -> equal(singleton(u),identity_relation) section(element_relation,image(choice,singleton(singleton(u))),universal_class)*.
% 299.85/300.44  256674[5:Rew:200704.1,256636.3] || equal(u,universal_class) subclass(apply(v,u),image(v,identity_relation))* -> inductive(u) section(element_relation,image(v,identity_relation),universal_class).
% 299.85/300.44  256876[5:Res:5288.2,251410.0] || subclass(omega,intersection(power_class(u),complement(v))) member(w,union(complement(power_class(u)),v))* -> equal(integer_of(w),identity_relation).
% 299.85/300.44  256867[5:Res:5214.2,251410.0] || subclass(u,intersection(power_class(v),complement(w))) member(regular(u),union(complement(power_class(v)),w))* -> equal(u,identity_relation).
% 299.85/300.44  256847[5:Res:5220.1,251410.0] || member(regular(intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))* -> equal(intersection(power_class(u),complement(v)),identity_relation).
% 299.85/300.44  256822[5:SpL:203228.1,251410.0] || equal(identity_relation,u) member(v,intersection(power_class(u),complement(w)))* member(v,union(complement(power_class(identity_relation)),w)) -> .
% 299.85/300.44  256821[5:SpL:203228.1,251410.0] || equal(identity_relation,u) member(v,intersection(power_class(identity_relation),complement(w)))* member(v,union(complement(power_class(u)),w))* -> .
% 299.85/300.44  257068[5:Res:5288.2,251419.0] || subclass(omega,intersection(complement(u),power_class(v))) member(w,union(u,complement(power_class(v))))* -> equal(integer_of(w),identity_relation).
% 299.85/300.44  257059[5:Res:5214.2,251419.0] || subclass(u,intersection(complement(v),power_class(w))) member(regular(u),union(v,complement(power_class(w))))* -> equal(u,identity_relation).
% 299.85/300.44  257039[5:Res:5220.1,251419.0] || member(regular(intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))* -> equal(intersection(complement(u),power_class(v)),identity_relation).
% 299.85/300.44  256992[5:SpL:203228.1,251419.0] || equal(identity_relation,u) member(v,intersection(complement(w),power_class(u)))* member(v,union(w,complement(power_class(identity_relation)))) -> .
% 299.85/300.44  256991[5:SpL:203228.1,251419.0] || equal(identity_relation,u) member(v,intersection(complement(w),power_class(identity_relation)))* member(v,union(w,complement(power_class(u))))* -> .
% 299.85/300.44  257263[4:Res:212361.1,20569.2] || subclass(omega,union(u,v))* member(least(element_relation,omega),complement(v))* member(least(element_relation,omega),complement(u))* -> .
% 299.85/300.44  257262[4:Res:212539.1,20569.2] || subclass(universal_class,union(u,v))* member(least(element_relation,omega),complement(v))* member(least(element_relation,omega),complement(u))* -> .
% 299.85/300.44  257234[20:Res:212523.1,20569.2] || subclass(universal_class,union(u,v))* member(regular(symmetrization_of(identity_relation)),complement(v))* member(regular(symmetrization_of(identity_relation)),complement(u))* -> .
% 299.85/300.44  257227[5:Res:5462.2,20569.2] || subclass(omega,symmetric_difference(u,v))* member(w,complement(v))* member(w,complement(u))* -> equal(integer_of(w),identity_relation).
% 299.85/300.44  257226[0:Res:5172.1,20569.2] || subclass(universal_class,symmetric_difference(u,v))* member(unordered_pair(w,x),complement(v))* member(unordered_pair(w,x),complement(u))* -> .
% 299.85/300.44  257224[5:Res:5288.2,20569.2] || subclass(omega,union(u,v))* member(w,complement(v))* member(w,complement(u))* -> equal(integer_of(w),identity_relation).
% 299.85/300.44  257221[15:Res:192110.1,20569.2] || equal(union(u,v),singleton(singleton(identity_relation)))** member(singleton(identity_relation),complement(v))* member(singleton(identity_relation),complement(u))* -> .
% 299.85/300.44  257206[5:Res:5615.1,20569.2] || subclass(domain_relation,union(u,v))* member(ordered_pair(identity_relation,identity_relation),complement(v))* member(ordered_pair(identity_relation,identity_relation),complement(u))* -> .
% 299.85/300.44  257198[5:Res:223085.1,20569.2] || equal(complement(complement(union(u,v))),universal_class)** member(power_class(identity_relation),complement(v)) member(power_class(identity_relation),complement(u)) -> .
% 299.85/300.44  257193[0:Res:762.1,20569.2] || subclass(universal_class,union(u,v))* member(unordered_pair(w,x),complement(v))* member(unordered_pair(w,x),complement(u))* -> .
% 299.85/300.44  257187[0:Res:779.1,20569.2] || subclass(universal_class,union(u,v))* member(ordered_pair(w,x),complement(v))* member(ordered_pair(w,x),complement(u))* -> .
% 299.85/300.44  257184[0:Res:3780.1,20569.2] || equal(complement(complement(union(u,v))),universal_class)** member(singleton(w),complement(v))* member(singleton(w),complement(u))* -> .
% 299.85/300.44  257794[5:MRR:257793.2,257464.0] || equal(singleton(u),v) -> equal(regular(ordered_pair(v,u)),singleton(v)) equal(apply(choice,regular(ordered_pair(v,u))),v)**.
% 299.85/300.44  258048[5:Res:8059.2,23.0] || well_ordering(u,universal_class) -> equal(intersection(intersection(v,w),x),identity_relation) member(least(u,intersection(intersection(v,w),x)),w)*.
% 299.85/300.44  258047[5:Res:8059.2,22.0] || well_ordering(u,universal_class) -> equal(intersection(intersection(v,w),x),identity_relation) member(least(u,intersection(intersection(v,w),x)),v)*.
% 299.85/300.44  258045[5:Res:8059.2,222432.0] || well_ordering(u,universal_class) -> equal(intersection(complement(complement(v)),w),identity_relation) member(least(u,intersection(complement(complement(v)),w)),v)*.
% 299.85/300.44  258040[5:Res:8059.2,2.0] || well_ordering(u,universal_class) subclass(v,w) -> equal(intersection(v,x),identity_relation) member(least(u,intersection(v,x)),w)*.
% 299.85/300.44  258107[5:Rew:22914.0,257968.1] || well_ordering(u,universal_class) -> equal(symmetric_difference(complement(v),universal_class),identity_relation) member(least(u,symmetric_difference(complement(v),universal_class)),union(v,identity_relation))*.
% 299.85/300.44  258113[5:Rew:118446.0,258026.3,118446.0,258026.2] || well_ordering(u,universal_class) subclass(rest_relation,successor_relation) -> equal(v,identity_relation) equal(rest_of(least(u,v)),successor(least(u,v)))**.
% 299.85/300.44  258242[5:Res:8060.2,23.0] || well_ordering(u,universal_class) -> equal(intersection(v,intersection(w,x)),identity_relation) member(least(u,intersection(v,intersection(w,x))),x)*.
% 299.85/300.44  258241[5:Res:8060.2,22.0] || well_ordering(u,universal_class) -> equal(intersection(v,intersection(w,x)),identity_relation) member(least(u,intersection(v,intersection(w,x))),w)*.
% 299.85/300.44  258239[5:Res:8060.2,222432.0] || well_ordering(u,universal_class) -> equal(intersection(v,complement(complement(w))),identity_relation) member(least(u,intersection(v,complement(complement(w)))),w)*.
% 299.85/300.44  258234[5:Res:8060.2,2.0] || well_ordering(u,universal_class) subclass(v,w) -> equal(intersection(x,v),identity_relation) member(least(u,intersection(x,v)),w)*.
% 299.85/300.44  258363[5:Res:8057.3,8834.0] || well_ordering(u,universal_class) subclass(v,symmetric_difference(w,inverse(w)))* -> equal(v,identity_relation) member(least(u,v),symmetrization_of(w))*.
% 299.85/300.44  258362[5:Res:8057.3,8898.0] || well_ordering(u,universal_class) subclass(v,symmetric_difference(w,singleton(w)))* -> equal(v,identity_relation) member(least(u,v),successor(w))*.
% 299.85/300.44  258361[5:Res:8057.3,944.0] || well_ordering(u,universal_class) subclass(v,symmetric_difference(w,x)) -> equal(v,identity_relation) member(least(u,v),union(w,x))*.
% 299.85/300.44  258347[5:Res:8057.3,2.0] || well_ordering(u,universal_class) subclass(v,w)* subclass(w,x)* -> equal(v,identity_relation) member(least(u,v),x)*.
% 299.85/300.44  258604[5:SpL:122711.0,8164.1] || member(u,symmetric_difference(complement(v),union(w,identity_relation)))* subclass(union(v,symmetric_difference(universal_class,w)),x)* -> member(u,x)*.
% 299.85/300.44  258603[5:SpL:122708.0,8164.1] || member(u,symmetric_difference(union(v,identity_relation),complement(w)))* subclass(union(symmetric_difference(universal_class,v),w),x)* -> member(u,x)*.
% 299.85/300.44  259176[5:Rew:122711.0,259073.1] ||  -> member(union(u,symmetric_difference(universal_class,v)),intersection(complement(u),union(v,identity_relation)))* equal(singleton(union(u,symmetric_difference(universal_class,v))),identity_relation).
% 299.85/300.44  259177[5:Rew:122708.0,259072.1] ||  -> member(union(symmetric_difference(universal_class,u),v),intersection(union(u,identity_relation),complement(v)))* equal(singleton(union(symmetric_difference(universal_class,u),v)),identity_relation).
% 299.85/300.44  259347[0:Res:30856.1,2.0] || member(u,union(v,w)) subclass(intersection(v,w),x)* -> member(u,symmetric_difference(v,w))* member(u,x)*.
% 299.85/300.44  259682[0:Rew:14.0,259657.2] || member(unordered_pair(u,singleton(v)),w)* -> equal(not_subclass_element(ordered_pair(u,v),w),singleton(u)) subclass(ordered_pair(u,v),w).
% 299.85/300.44  259685[0:Obv:259662.3] || member(u,v) subclass(unordered_pair(w,u),complement(x))* member(w,x) -> subclass(unordered_pair(w,u),v)*.
% 299.85/300.44  259793[0:Rew:14.0,259767.2] || member(singleton(u),v) -> equal(not_subclass_element(ordered_pair(u,w),v),unordered_pair(u,singleton(w)))** subclass(ordered_pair(u,w),v).
% 299.85/300.44  259796[0:Obv:259772.3] || member(u,v) subclass(unordered_pair(u,w),complement(x))* member(w,x) -> subclass(unordered_pair(u,w),v)*.
% 299.85/300.44  259887[0:Res:8441.2,2.0] || subclass(u,symmetric_difference(v,w))* subclass(union(v,w),x)* -> subclass(u,y) member(not_subclass_element(u,y),x)*.
% 299.85/300.44  260098[5:Res:227240.0,8430.0] || subclass(complement(intersection(inverse(u),universal_class)),v) -> subclass(complement(inverse(u)),w) member(not_subclass_element(complement(inverse(u)),w),v)*.
% 299.85/300.44  260097[5:Res:227239.0,8430.0] || subclass(complement(intersection(sum_class(u),universal_class)),v) -> subclass(complement(sum_class(u)),w) member(not_subclass_element(complement(sum_class(u)),w),v)*.
% 299.85/300.44  260092[5:Res:122365.0,8430.0] || subclass(symmetric_difference(universal_class,u),v) -> subclass(complement(union(u,identity_relation)),w) member(not_subclass_element(complement(union(u,identity_relation)),w),v)*.
% 299.85/300.44  260078[5:Res:22542.0,8430.0] || subclass(union(u,identity_relation),v) -> subclass(symmetric_difference(complement(u),universal_class),w) member(not_subclass_element(symmetric_difference(complement(u),universal_class),w),v)*.
% 299.85/300.44  260047[0:Res:8246.0,8430.0] || subclass(cross_product(u,v),w) -> subclass(restrict(x,u,v),y) member(not_subclass_element(restrict(x,u,v),y),w)*.
% 299.85/300.44  260148[0:Rew:118036.2,260110.3] || section(u,singleton(v),w) subclass(singleton(v),x)* -> subclass(segment(u,w,v),y)* member(v,x).
% 299.85/300.44  260318[0:Res:8213.2,8834.0] || subclass(u,symmetric_difference(v,inverse(v)))* -> subclass(intersection(w,u),x) member(not_subclass_element(intersection(w,u),x),symmetrization_of(v))*.
% 299.85/300.44  260317[0:Res:8213.2,8898.0] || subclass(u,symmetric_difference(v,singleton(v)))* -> subclass(intersection(w,u),x) member(not_subclass_element(intersection(w,u),x),successor(v))*.
% 299.85/300.44  260316[0:Res:8213.2,944.0] || subclass(u,symmetric_difference(v,w)) -> subclass(intersection(x,u),y) member(not_subclass_element(intersection(x,u),y),union(v,w))*.
% 299.85/300.44  260302[0:Res:8213.2,2.0] || subclass(u,v)* subclass(v,w)* -> subclass(intersection(x,u),y) member(not_subclass_element(intersection(x,u),y),w)*.
% 299.85/300.44  260544[5:Res:260367.1,5259.0] || subclass(u,v)* well_ordering(w,v)* -> equal(segment(w,intersection(x,u),least(w,intersection(x,u))),identity_relation)**.
% 299.85/300.44  260721[5:Res:260493.1,8397.0] || subclass(universal_class,restrict(u,v,w))* -> equal(symmetric_difference(universal_class,x),identity_relation) member(regular(symmetric_difference(universal_class,x)),cross_product(v,w))*.
% 299.85/300.44  260710[5:Res:260493.1,5259.0] || subclass(universal_class,u) well_ordering(v,u)* -> equal(segment(v,symmetric_difference(universal_class,w),least(v,symmetric_difference(universal_class,w))),identity_relation)**.
% 299.85/300.44  260705[5:Res:260493.1,8430.0] || subclass(universal_class,u)* subclass(u,v)* -> subclass(symmetric_difference(universal_class,w),x) member(not_subclass_element(symmetric_difference(universal_class,w),x),v)*.
% 299.85/300.44  260886[0:Res:8216.1,23.0] ||  -> subclass(intersection(u,intersection(v,intersection(w,x))),y) member(not_subclass_element(intersection(u,intersection(v,intersection(w,x))),y),x)*.
% 299.85/300.44  260885[0:Res:8216.1,22.0] ||  -> subclass(intersection(u,intersection(v,intersection(w,x))),y) member(not_subclass_element(intersection(u,intersection(v,intersection(w,x))),y),w)*.
% 299.85/300.44  260883[0:Res:8216.1,222432.0] ||  -> subclass(intersection(u,intersection(v,complement(complement(w)))),x) member(not_subclass_element(intersection(u,intersection(v,complement(complement(w)))),x),w)*.
% 299.85/300.44  260878[0:Res:8216.1,2.0] || subclass(u,v) -> subclass(intersection(w,intersection(x,u)),y) member(not_subclass_element(intersection(w,intersection(x,u)),y),v)*.
% 299.85/300.44  261144[5:Res:260940.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(w,intersection(x,v)),least(u,intersection(w,intersection(x,v)))),identity_relation)**.
% 299.85/300.44  261290[0:Res:261060.0,8428.0] ||  -> subclass(intersection(u,restrict(singleton(v),w,x)),y) equal(not_subclass_element(intersection(u,restrict(singleton(v),w,x)),y),v)**.
% 299.85/300.44  261456[0:Res:8215.1,23.0] ||  -> subclass(intersection(u,intersection(intersection(v,w),x)),y) member(not_subclass_element(intersection(u,intersection(intersection(v,w),x)),y),w)*.
% 299.85/300.44  261455[0:Res:8215.1,22.0] ||  -> subclass(intersection(u,intersection(intersection(v,w),x)),y) member(not_subclass_element(intersection(u,intersection(intersection(v,w),x)),y),v)*.
% 299.85/300.44  261453[0:Res:8215.1,222432.0] ||  -> subclass(intersection(u,intersection(complement(complement(v)),w)),x) member(not_subclass_element(intersection(u,intersection(complement(complement(v)),w)),x),v)*.
% 299.85/300.44  261448[0:Res:8215.1,2.0] || subclass(u,v) -> subclass(intersection(w,intersection(u,x)),y) member(not_subclass_element(intersection(w,intersection(u,x)),y),v)*.
% 299.85/300.44  261592[5:Rew:22914.0,261352.0] ||  -> subclass(intersection(u,symmetric_difference(complement(v),universal_class)),w) member(not_subclass_element(intersection(u,symmetric_difference(complement(v),universal_class)),w),union(v,identity_relation))*.
% 299.85/300.44  261714[5:Res:261510.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(w,intersection(v,x)),least(u,intersection(w,intersection(v,x)))),identity_relation)**.
% 299.85/300.44  261962[0:Res:8307.2,8834.0] || subclass(u,symmetric_difference(v,inverse(v)))* -> subclass(intersection(u,w),x) member(not_subclass_element(intersection(u,w),x),symmetrization_of(v))*.
% 299.85/300.44  261961[0:Res:8307.2,8898.0] || subclass(u,symmetric_difference(v,singleton(v)))* -> subclass(intersection(u,w),x) member(not_subclass_element(intersection(u,w),x),successor(v))*.
% 299.85/300.44  261960[0:Res:8307.2,944.0] || subclass(u,symmetric_difference(v,w)) -> subclass(intersection(u,x),y) member(not_subclass_element(intersection(u,x),y),union(v,w))*.
% 299.85/300.44  261946[0:Res:8307.2,2.0] || subclass(u,v)* subclass(v,w)* -> subclass(intersection(u,x),y) member(not_subclass_element(intersection(u,x),y),w)*.
% 299.85/300.44  262167[0:Res:261657.0,8433.0] ||  -> subclass(intersection(u,complement(complement(intersection(v,w)))),x) member(not_subclass_element(intersection(u,complement(complement(intersection(v,w)))),x),w)*.
% 299.85/300.44  262166[0:Res:261657.0,8432.0] ||  -> subclass(intersection(u,complement(complement(intersection(v,w)))),x) member(not_subclass_element(intersection(u,complement(complement(intersection(v,w)))),x),v)*.
% 299.85/300.44  262161[5:Res:261657.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(w,complement(complement(v))),least(u,intersection(w,complement(complement(v))))),identity_relation)**.
% 299.85/300.44  262156[0:Res:261657.0,8430.0] || subclass(u,v) -> subclass(intersection(w,complement(complement(u))),x) member(not_subclass_element(intersection(w,complement(complement(u))),x),v)*.
% 299.85/300.44  262226[5:Res:261827.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(restrict(symmetrization_of(identity_relation),v,w),identity_relation) member(regular(restrict(symmetrization_of(identity_relation),v,w)),u)*.
% 299.85/300.44  262360[0:Res:8310.1,23.0] ||  -> subclass(intersection(intersection(u,intersection(v,w)),x),y) member(not_subclass_element(intersection(intersection(u,intersection(v,w)),x),y),w)*.
% 299.85/300.44  262359[0:Res:8310.1,22.0] ||  -> subclass(intersection(intersection(u,intersection(v,w)),x),y) member(not_subclass_element(intersection(intersection(u,intersection(v,w)),x),y),v)*.
% 299.85/300.44  262357[0:Res:8310.1,222432.0] ||  -> subclass(intersection(intersection(u,complement(complement(v))),w),x) member(not_subclass_element(intersection(intersection(u,complement(complement(v))),w),x),v)*.
% 299.85/300.44  262352[0:Res:8310.1,2.0] || subclass(u,v) -> subclass(intersection(intersection(w,u),x),y) member(not_subclass_element(intersection(intersection(w,u),x),y),v)*.
% 299.85/300.44  262620[5:Res:262411.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(intersection(w,v),x),least(u,intersection(intersection(w,v),x))),identity_relation)**.
% 299.85/300.44  262813[0:Res:262607.0,8433.0] ||  -> subclass(complement(complement(intersection(u,intersection(v,w)))),x) member(not_subclass_element(complement(complement(intersection(u,intersection(v,w)))),x),w)*.
% 299.85/300.44  262812[0:Res:262607.0,8432.0] ||  -> subclass(complement(complement(intersection(u,intersection(v,w)))),x) member(not_subclass_element(complement(complement(intersection(u,intersection(v,w)))),x),v)*.
% 299.85/300.44  262807[5:Res:262607.0,5259.0] || well_ordering(u,v) -> equal(segment(u,complement(complement(intersection(w,v))),least(u,complement(complement(intersection(w,v))))),identity_relation)**.
% 299.85/300.45  262802[0:Res:262607.0,8430.0] || subclass(u,v) -> subclass(complement(complement(intersection(w,u))),x) member(not_subclass_element(complement(complement(intersection(w,u))),x),v)*.
% 299.85/300.45  263051[0:Res:8309.1,23.0] ||  -> subclass(intersection(intersection(intersection(u,v),w),x),y) member(not_subclass_element(intersection(intersection(intersection(u,v),w),x),y),v)*.
% 299.85/300.45  263050[0:Res:8309.1,22.0] ||  -> subclass(intersection(intersection(intersection(u,v),w),x),y) member(not_subclass_element(intersection(intersection(intersection(u,v),w),x),y),u)*.
% 299.85/300.45  263048[0:Res:8309.1,222432.0] ||  -> subclass(intersection(intersection(complement(complement(u)),v),w),x) member(not_subclass_element(intersection(intersection(complement(complement(u)),v),w),x),u)*.
% 299.85/300.45  263043[0:Res:8309.1,2.0] || subclass(u,v) -> subclass(intersection(intersection(u,w),x),y) member(not_subclass_element(intersection(intersection(u,w),x),y),v)*.
% 299.85/300.45  263188[5:Rew:22914.0,262946.0] ||  -> subclass(intersection(symmetric_difference(complement(u),universal_class),v),w) member(not_subclass_element(intersection(symmetric_difference(complement(u),universal_class),v),w),union(u,identity_relation))*.
% 299.85/300.45  263318[5:Res:263232.0,5215.0] || well_ordering(u,complement(singleton(v))) -> equal(complement(successor(v)),identity_relation) member(least(u,complement(successor(v))),complement(successor(v)))*.
% 299.85/300.45  263317[3:Res:263232.0,3692.1] inductive(complement(successor(u))) || well_ordering(v,complement(singleton(u))) -> member(least(v,complement(successor(u))),complement(successor(u)))*.
% 299.85/300.45  263350[5:Res:263234.0,5215.0] || well_ordering(u,complement(inverse(v))) -> equal(complement(symmetrization_of(v)),identity_relation) member(least(u,complement(symmetrization_of(v))),complement(symmetrization_of(v)))*.
% 299.85/300.45  263349[3:Res:263234.0,3692.1] inductive(complement(symmetrization_of(u))) || well_ordering(v,complement(inverse(u))) -> member(least(v,complement(symmetrization_of(u))),complement(symmetrization_of(u)))*.
% 299.85/300.45  263463[5:Res:263102.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(intersection(v,w),x),least(u,intersection(intersection(v,w),x))),identity_relation)**.
% 299.85/300.45  263574[0:SpR:79123.1,9102.1] || equal(cantor(restrict(cross_product(u,v),w,x)),universal_class)** section(cross_product(w,x),v,u) -> subclass(universal_class,v).
% 299.85/300.45  263573[0:SpR:77667.1,9102.1] || equal(rest_of(restrict(cross_product(u,v),w,x)),rest_relation)** section(cross_product(w,x),v,u) -> subclass(universal_class,v).
% 299.85/300.45  263758[0:Res:263405.0,8433.0] ||  -> subclass(intersection(complement(complement(intersection(u,v))),w),x) member(not_subclass_element(intersection(complement(complement(intersection(u,v))),w),x),v)*.
% 299.85/300.45  263757[0:Res:263405.0,8432.0] ||  -> subclass(intersection(complement(complement(intersection(u,v))),w),x) member(not_subclass_element(intersection(complement(complement(intersection(u,v))),w),x),u)*.
% 299.85/300.45  263752[5:Res:263405.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(complement(complement(v)),w),least(u,intersection(complement(complement(v)),w))),identity_relation)**.
% 299.85/300.45  263747[0:Res:263405.0,8430.0] || subclass(u,v) -> subclass(intersection(complement(complement(u)),w),x) member(not_subclass_element(intersection(complement(complement(u)),w),x),v)*.
% 299.85/300.45  263855[5:Res:263738.0,8435.0] ||  -> subclass(symmetric_difference(universal_class,complement(restrict(u,v,w))),x) member(not_subclass_element(symmetric_difference(universal_class,complement(restrict(u,v,w))),x),u)*.
% 299.85/300.45  263938[0:Res:263745.0,8433.0] ||  -> subclass(complement(complement(complement(complement(intersection(u,v))))),w) member(not_subclass_element(complement(complement(complement(complement(intersection(u,v))))),w),v)*.
% 299.85/300.45  263937[0:Res:263745.0,8432.0] ||  -> subclass(complement(complement(complement(complement(intersection(u,v))))),w) member(not_subclass_element(complement(complement(complement(complement(intersection(u,v))))),w),u)*.
% 299.85/300.45  263932[5:Res:263745.0,5259.0] || well_ordering(u,v) -> equal(segment(u,complement(complement(complement(complement(v)))),least(u,complement(complement(complement(complement(v)))))),identity_relation)**.
% 299.85/300.45  263927[0:Res:263745.0,8430.0] || subclass(u,v) -> subclass(complement(complement(complement(complement(u)))),w) member(not_subclass_element(complement(complement(complement(complement(u)))),w),v)*.
% 299.85/300.45  264107[0:Res:263450.0,8433.0] ||  -> subclass(complement(complement(intersection(intersection(u,v),w))),x) member(not_subclass_element(complement(complement(intersection(intersection(u,v),w))),x),v)*.
% 299.85/300.45  264106[0:Res:263450.0,8432.0] ||  -> subclass(complement(complement(intersection(intersection(u,v),w))),x) member(not_subclass_element(complement(complement(intersection(intersection(u,v),w))),x),u)*.
% 299.85/300.45  264101[5:Res:263450.0,5259.0] || well_ordering(u,v) -> equal(segment(u,complement(complement(intersection(v,w))),least(u,complement(complement(intersection(v,w))))),identity_relation)**.
% 299.85/300.45  264096[0:Res:263450.0,8430.0] || subclass(u,v) -> subclass(complement(complement(intersection(u,w))),x) member(not_subclass_element(complement(complement(intersection(u,w))),x),v)*.
% 299.85/300.45  264227[0:SpR:598.0,8238.1] ||  -> subclass(restrict(cross_product(u,v),w,x),y) member(not_subclass_element(restrict(cross_product(w,x),u,v),y),cross_product(w,x))*.
% 299.85/300.45  264489[5:Res:263814.0,5259.0] || well_ordering(u,complement(inverse(identity_relation))) -> equal(segment(u,symmetric_difference(universal_class,symmetrization_of(identity_relation)),least(u,symmetric_difference(universal_class,symmetrization_of(identity_relation)))),identity_relation)**.
% 299.85/300.45  264484[5:Res:263814.0,8430.0] || subclass(complement(inverse(identity_relation)),u) -> subclass(symmetric_difference(universal_class,symmetrization_of(identity_relation)),v) member(not_subclass_element(symmetric_difference(universal_class,symmetrization_of(identity_relation)),v),u)*.
% 299.85/300.45  264527[5:Res:264356.0,5316.0] || subclass(symmetrization_of(identity_relation),u) -> equal(complement(successor(complement(inverse(identity_relation)))),identity_relation) member(regular(complement(successor(complement(inverse(identity_relation))))),u)*.
% 299.85/300.45  264582[5:Res:264410.0,5316.0] || subclass(symmetrization_of(identity_relation),u) -> equal(complement(symmetrization_of(complement(inverse(identity_relation)))),identity_relation) member(regular(complement(symmetrization_of(complement(inverse(identity_relation))))),u)*.
% 299.85/300.45  264645[5:Res:264357.0,5316.0] || subclass(power_class(u),v) -> equal(complement(successor(complement(power_class(u)))),identity_relation) member(regular(complement(successor(complement(power_class(u))))),v)*.
% 299.85/300.45  264677[5:Res:264411.0,5316.0] || subclass(power_class(u),v) -> equal(complement(symmetrization_of(complement(power_class(u)))),identity_relation) member(regular(complement(symmetrization_of(complement(power_class(u))))),v)*.
% 299.85/300.45  264751[5:Res:261641.0,5316.0] || subclass(complement(u),v) -> equal(intersection(w,symmetric_difference(universal_class,u)),identity_relation) member(regular(intersection(w,symmetric_difference(universal_class,u))),v)*.
% 299.85/300.45  264885[5:Res:263389.0,5316.0] || subclass(complement(u),v) -> equal(intersection(symmetric_difference(universal_class,u),w),identity_relation) member(regular(intersection(symmetric_difference(universal_class,u),w)),v)*.
% 299.85/300.45  265254[15:Res:263560.1,209011.1] function(u) || equal(complement(domain_of(domain_of(v))),identity_relation)** equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.45  265662[20:Res:265633.0,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(regular(complement(complement(symmetrization_of(identity_relation)))),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  265861[0:Res:262147.0,8428.0] ||  -> subclass(restrict(complement(complement(singleton(u))),v,w),x) equal(not_subclass_element(restrict(complement(complement(singleton(u))),v,w),x),u)**.
% 299.85/300.45  266005[0:Res:262737.0,8428.0] ||  -> subclass(complement(complement(restrict(singleton(u),v,w))),x) equal(not_subclass_element(complement(complement(restrict(singleton(u),v,w))),x),u)**.
% 299.85/300.45  266161[0:Res:261130.0,8428.0] ||  -> subclass(restrict(intersection(u,singleton(v)),w,x),y) equal(not_subclass_element(restrict(intersection(u,singleton(v)),w,x),y),v)**.
% 299.85/300.45  266406[0:Res:261700.0,8428.0] ||  -> subclass(restrict(intersection(singleton(u),v),w,x),y) equal(not_subclass_element(restrict(intersection(singleton(u),v),w,x),y),u)**.
% 299.85/300.45  266538[0:Res:262535.0,8428.0] ||  -> subclass(intersection(restrict(singleton(u),v,w),x),y) equal(not_subclass_element(intersection(restrict(singleton(u),v,w),x),y),u)**.
% 299.85/300.45  266595[0:Res:226257.1,123566.0] || member(u,universal_class) -> equal(ordered_pair(first(ordered_pair(rest_of(u),omega)),second(ordered_pair(rest_of(u),omega))),ordered_pair(rest_of(u),omega))**.
% 299.85/300.45  266588[0:Res:55.1,123566.0] || member(u,universal_class) -> equal(ordered_pair(first(ordered_pair(sum_class(u),omega)),second(ordered_pair(sum_class(u),omega))),ordered_pair(sum_class(u),omega))**.
% 299.85/300.45  266584[0:Res:57.1,123566.0] || member(u,universal_class) -> equal(ordered_pair(first(ordered_pair(power_class(u),omega)),second(ordered_pair(power_class(u),omega))),ordered_pair(power_class(u),omega))**.
% 299.85/300.45  266583[5:Res:205098.1,123566.0] || equal(identity_relation,u) -> equal(ordered_pair(first(ordered_pair(power_class(u),omega)),second(ordered_pair(power_class(u),omega))),ordered_pair(power_class(u),omega))**.
% 299.85/300.45  266971[5:Res:608.1,8100.2] || member(sum_class(u),cantor(v))* member(u,universal_class) subclass(universal_class,regular(domain_of(v))) -> equal(domain_of(v),identity_relation).
% 299.85/300.45  266949[5:SpL:253274.0,8100.2] || member(complement(power_class(universal_class)),universal_class) subclass(universal_class,regular(u)) member(apply(element_relation,universal_class),u)* -> equal(u,identity_relation).
% 299.85/300.45  266948[5:SpL:233494.0,8100.2] || member(image(u,identity_relation),universal_class) subclass(universal_class,regular(v)) member(apply(u,universal_class),v)* -> equal(v,identity_relation).
% 299.85/300.45  267095[5:Res:608.1,8099.2] || member(power_class(u),cantor(v))* member(u,universal_class) subclass(universal_class,regular(domain_of(v))) -> equal(domain_of(v),identity_relation).
% 299.85/300.45  267622[5:Res:267557.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))),identity_relation) member(regular(symmetric_difference(universal_class,complement(symmetrization_of(identity_relation)))),u)*.
% 299.85/300.45  267638[5:Res:267563.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(complement(successor(complement(inverse(identity_relation)))),identity_relation) member(regular(complement(successor(complement(inverse(identity_relation))))),u)*.
% 299.85/300.45  267654[5:Res:267564.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(complement(symmetrization_of(complement(inverse(identity_relation)))),identity_relation) member(regular(complement(symmetrization_of(complement(inverse(identity_relation))))),u)*.
% 299.85/300.45  267932[5:SpR:123928.1,257293.1] || equal(not_subclass_element(intersection(u,omega),v),omega)** -> subclass(intersection(u,omega),v) equal(not_subclass_element(intersection(u,omega),v),identity_relation).
% 299.85/300.45  267931[5:SpR:123928.1,257304.1] || equal(not_subclass_element(intersection(u,omega),v),universal_class)** -> subclass(intersection(u,omega),v) equal(not_subclass_element(intersection(u,omega),v),identity_relation).
% 299.85/300.45  268078[5:SpR:123919.1,257293.1] || equal(not_subclass_element(intersection(omega,u),v),omega)** -> subclass(intersection(omega,u),v) equal(not_subclass_element(intersection(omega,u),v),identity_relation).
% 299.85/300.45  268077[5:SpR:123919.1,257304.1] || equal(not_subclass_element(intersection(omega,u),v),universal_class)** -> subclass(intersection(omega,u),v) equal(not_subclass_element(intersection(omega,u),v),identity_relation).
% 299.85/300.45  268361[17:SpL:210378.1,9122.1] one_to_one(u) || member(inverse(u),domain_of(cross_product(v,w)))* equal(restrict(cross_product(identity_relation,universal_class),v,w),identity_relation) -> .
% 299.85/300.45  268706[15:Rew:22454.0,268612.1,22454.0,268612.0] ||  -> equal(symmetric_difference(complement(sum_class(range_of(identity_relation))),universal_class),identity_relation) member(regular(symmetric_difference(complement(sum_class(range_of(identity_relation))),universal_class)),successor(sum_class(range_of(identity_relation))))*.
% 299.85/300.45  268839[5:SpL:5337.2,268520.0] || member(cross_product(u,v),universal_class) equal(successor(apply(choice,cross_product(u,v))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  269594[20:Res:212352.1,7532.1] || subclass(inverse(identity_relation),power_class(intersection(complement(u),complement(v)))) member(regular(symmetrization_of(identity_relation)),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269593[20:Res:214397.1,7532.1] || subclass(symmetrization_of(identity_relation),power_class(intersection(complement(u),complement(v)))) member(regular(symmetrization_of(identity_relation)),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269592[9:Res:207805.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(regular(complement(symmetrization_of(identity_relation))),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269591[10:Res:208146.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(regular(complement(power_class(universal_class))),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269590[11:Res:207964.1,7532.1] || subclass(universal_class,power_class(intersection(complement(u),complement(v)))) member(regular(complement(power_class(identity_relation))),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269584[15:Res:192110.1,7532.1] || equal(power_class(intersection(complement(u),complement(v))),singleton(singleton(identity_relation))) member(singleton(identity_relation),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269582[17:Res:195614.1,7532.1] || subclass(domain_relation,power_class(intersection(complement(u),complement(v)))) member(singleton(singleton(singleton(identity_relation))),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269817[5:SpL:5337.2,269412.0] || member(cross_product(u,v),universal_class) equal(symmetrization_of(apply(choice,cross_product(u,v))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  269925[17:Res:207952.1,195192.0] || equal(identity_relation,u) subclass(domain_relation,v)* subclass(v,w)* -> member(ordered_pair(regular(complement(power_class(u))),identity_relation),w)*.
% 299.85/300.45  270230[0:SpL:251233.0,7572.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(power_class(v),complement(w))) -> member(power_class(u),union(complement(power_class(v)),w))*.
% 299.85/300.45  270228[0:SpL:251233.0,7607.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(power_class(v),complement(w))) -> member(sum_class(u),union(complement(power_class(v)),w))*.
% 299.85/300.45  270223[0:SpL:251233.0,8432.0] || subclass(u,symmetric_difference(power_class(v),complement(w))) -> subclass(u,x) member(not_subclass_element(u,x),union(complement(power_class(v)),w))*.
% 299.85/300.45  270664[7:SpL:251244.0,202413.0] || subclass(union(intersection(power_class(u),complement(v)),w),identity_relation) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270663[5:SpL:251244.0,202624.0] || subclass(union(intersection(power_class(u),complement(v)),w),identity_relation) -> member(omega,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270652[7:SpL:251244.0,176819.0] || well_ordering(universal_class,union(intersection(power_class(u),complement(v)),w)) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270649[14:SpL:251244.0,178302.1] inductive(intersection(union(complement(power_class(u)),v),complement(w))) || equal(union(intersection(power_class(u),complement(v)),w),omega)** -> .
% 299.85/300.45  270642[5:SpL:251244.0,203645.0] || equal(union(intersection(power_class(u),complement(v)),w),identity_relation) -> equal(intersection(union(complement(power_class(u)),v),complement(w)),universal_class)**.
% 299.85/300.45  270607[3:SpL:251244.0,3957.1] inductive(intersection(union(complement(power_class(u)),v),complement(w))) || equal(union(intersection(power_class(u),complement(v)),w),universal_class)** -> .
% 299.85/300.45  270603[5:SpL:251244.0,165324.0] || equal(union(intersection(power_class(u),complement(v)),w),universal_class) -> equal(intersection(union(complement(power_class(u)),v),complement(w)),identity_relation)**.
% 299.85/300.45  270587[0:SpR:145868.1,251244.0] || subclass(complement(u),union(complement(power_class(v)),w))* -> equal(union(intersection(power_class(v),complement(w)),u),complement(complement(u))).
% 299.85/300.45  270519[5:SpR:251244.0,238781.0] ||  -> equal(intersection(intersection(u,intersection(union(complement(power_class(v)),w),complement(x))),union(intersection(power_class(v),complement(w)),x)),identity_relation)**.
% 299.85/300.45  270516[0:SpR:251244.0,162506.1] ||  -> member(u,intersection(union(complement(power_class(v)),w),complement(x)))* subclass(singleton(u),union(intersection(power_class(v),complement(w)),x)).
% 299.85/300.45  270495[5:SpR:251244.0,239572.0] ||  -> equal(intersection(intersection(intersection(union(complement(power_class(u)),v),complement(w)),x),union(intersection(power_class(u),complement(v)),w)),identity_relation)**.
% 299.85/300.45  270494[5:SpR:251244.0,237985.0] ||  -> equal(intersection(union(intersection(power_class(u),complement(v)),w),intersection(intersection(union(complement(power_class(u)),v),complement(w)),x)),identity_relation)**.
% 299.85/300.45  270493[5:SpR:251244.0,237395.0] ||  -> equal(intersection(union(intersection(power_class(u),complement(v)),w),intersection(x,intersection(union(complement(power_class(u)),v),complement(w)))),identity_relation)**.
% 299.85/300.45  270477[0:SpR:251244.0,249197.0] ||  -> equal(complement(power_class(intersection(union(complement(power_class(u)),v),complement(w)))),image(element_relation,union(intersection(power_class(u),complement(v)),w)))**.
% 299.85/300.45  270461[5:SpR:251244.0,22542.0] ||  -> subclass(symmetric_difference(union(intersection(power_class(u),complement(v)),w),universal_class),union(intersection(union(complement(power_class(u)),v),complement(w)),identity_relation))*.
% 299.85/300.45  270460[5:SpR:251244.0,119684.0] ||  -> equal(symmetric_difference(universal_class,intersection(union(complement(power_class(u)),v),complement(w))),intersection(union(intersection(power_class(u),complement(v)),w),universal_class))**.
% 299.85/300.45  270455[0:SpR:251244.0,262147.0] ||  -> subclass(restrict(complement(union(intersection(power_class(u),complement(v)),w)),x,y),intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270440[5:SpR:251244.0,202351.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),identity_relation)** -> equal(union(intersection(power_class(u),complement(v)),w),universal_class).
% 299.85/300.45  270777[15:MRR:270776.2,191629.0] single_valued_class(intersection(union(complement(power_class(u)),v),complement(w))) || equal(union(intersection(power_class(u),complement(v)),w),universal_class)** -> .
% 299.85/300.45  21012[0:SpR:941.0,24.2] || member(u,union(complement(v),complement(w))) member(u,union(v,w)) -> member(u,symmetric_difference(complement(v),complement(w)))*.
% 299.85/300.45  20578[0:Res:780.2,588.0] || member(u,universal_class) subclass(rest_relation,intersection(complement(v),complement(w))) member(ordered_pair(u,rest_of(u)),union(v,w))* -> .
% 299.85/300.45  86437[0:Res:86317.0,8.0] || subclass(intersection(complement(u),complement(singleton(u))),complement(successor(u)))* -> equal(intersection(complement(u),complement(singleton(u))),complement(successor(u))).
% 299.85/300.45  86338[0:Res:47693.0,8.0] || subclass(intersection(complement(u),complement(v)),complement(union(u,v)))* -> equal(intersection(complement(u),complement(v)),complement(union(u,v))).
% 299.85/300.45  34163[0:Res:3654.2,16.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cross_product(w,x))* -> member(ordered_pair(v,compose(u,v)),x)*.
% 299.85/300.45  33547[0:SoR:3643.0,72.1] one_to_one(domain_of(restrict(u,v,cross_product(universal_class,universal_class)))) || subclass(cross_product(universal_class,universal_class),v) -> section(u,cross_product(universal_class,universal_class),v)*.
% 299.85/300.45  86393[0:Res:86316.0,8.0] || subclass(intersection(complement(u),complement(inverse(u))),complement(symmetrization_of(u)))* -> equal(intersection(complement(u),complement(inverse(u))),complement(symmetrization_of(u))).
% 299.85/300.45  88931[0:Res:45819.1,3335.2] || subclass(cross_product(u,v),cantor(w))* member(x,v)* member(y,u)* -> member(ordered_pair(y,x),domain_of(w))*.
% 299.85/300.45  120704[0:SpL:119609.0,3757.1] || member(u,domain_of(universal_class)) equal(cross_product(u,universal_class),v) subclass(rest_of(universal_class),w) -> member(ordered_pair(u,v),w)*.
% 299.85/300.45  118467[5:Rew:118446.0,29421.1] || asymmetric(u,v) -> equal(symmetric_difference(cross_product(v,v),intersection(u,inverse(u))),union(cross_product(v,v),intersection(u,inverse(u))))**.
% 299.85/300.45  118471[5:Rew:118446.0,29268.1] || asymmetric(u,v) -> equal(symmetric_difference(intersection(u,inverse(u)),cross_product(v,v)),union(intersection(u,inverse(u)),cross_product(v,v)))**.
% 299.85/300.45  9003[0:Res:1013.1,8.0] || section(u,singleton(v),w) subclass(singleton(v),segment(u,w,v))* -> equal(segment(u,w,v),singleton(v)).
% 299.85/300.45  3755[0:SpR:647.0,144.2] || member(singleton(u),domain_of(v)) equal(restrict(v,singleton(u),universal_class),u) -> member(singleton(singleton(singleton(u))),rest_of(v))*.
% 299.85/300.45  118469[5:Rew:118446.0,29267.2] || member(u,universal_class) -> member(u,domain_of(v)) equal(symmetric_difference(v,cross_product(singleton(u),universal_class)),union(v,cross_product(singleton(u),universal_class)))**.
% 299.85/300.45  118466[5:Rew:118446.0,29420.2] || member(u,universal_class) -> member(u,domain_of(v)) equal(symmetric_difference(cross_product(singleton(u),universal_class),v),union(cross_product(singleton(u),universal_class),v))**.
% 299.85/300.45  118181[0:Rew:931.0,118107.1] || member(not_subclass_element(symmetrization_of(u),symmetric_difference(u,inverse(u))),complement(intersection(u,inverse(u))))* -> subclass(symmetrization_of(u),symmetric_difference(u,inverse(u))).
% 299.85/300.45  118180[0:Rew:932.0,118108.1] || member(not_subclass_element(successor(u),symmetric_difference(u,singleton(u))),complement(intersection(u,singleton(u))))* -> subclass(successor(u),symmetric_difference(u,singleton(u))).
% 299.85/300.45  118132[0:Res:943.1,34675.0] || member(not_subclass_element(u,intersection(complement(intersection(v,w)),u)),symmetric_difference(v,w))* -> subclass(u,intersection(complement(intersection(v,w)),u)).
% 299.85/300.45  32872[0:Obv:32848.1] || subclass(unordered_pair(u,v),w)* -> equal(not_subclass_element(unordered_pair(u,v),x),u)** subclass(unordered_pair(u,v),x) member(v,w).
% 299.85/300.45  32871[0:Obv:32855.1] || subclass(unordered_pair(u,v),w)* -> equal(not_subclass_element(unordered_pair(u,v),x),v)** subclass(unordered_pair(u,v),x) member(u,w).
% 299.85/300.45  146100[5:SpL:146057.0,2599.1] || member(u,union(domain_of(v),cantor(v))) member(u,complement(cantor(v))) -> member(u,symmetric_difference(domain_of(v),cantor(v)))*.
% 299.85/300.45  146260[0:SpR:145868.1,941.0] || subclass(union(complement(u),complement(v)),union(u,v))* -> equal(symmetric_difference(complement(u),complement(v)),union(complement(u),complement(v))).
% 299.85/300.45  162160[5:Res:160697.0,8.0] || subclass(segment(universal_class,u,v),cantor(cross_product(u,singleton(v))))* -> equal(cantor(cross_product(u,singleton(v))),segment(universal_class,u,v)).
% 299.85/300.45  3744[0:Rew:647.0,3741.2] || equal(successor(singleton(u)),u) member(singleton(singleton(singleton(u))),cross_product(universal_class,universal_class))* -> member(singleton(singleton(singleton(u))),successor_relation).
% 299.85/300.45  28198[5:Res:27132.1,18.0] || subclass(domain_relation,complement(complement(cross_product(u,v))))* -> equal(ordered_pair(first(ordered_pair(identity_relation,identity_relation)),second(ordered_pair(identity_relation,identity_relation))),ordered_pair(identity_relation,identity_relation))**.
% 299.85/300.45  27796[5:SpR:30.0,6420.1] || asymmetric(cross_product(u,v),singleton(w)) -> equal(domain__dfg(restrict(inverse(cross_product(u,v)),u,v),singleton(w),w),single_valued3(identity_relation))**.
% 299.85/300.45  27983[5:Res:5214.2,1043.0] || subclass(u,ordered_pair(v,w))* -> equal(u,identity_relation) equal(regular(u),unordered_pair(v,singleton(w))) equal(regular(u),singleton(v)).
% 299.85/300.45  52018[5:Rew:5381.1,52017.2] || member(regular(u),unordered_pair(v,u))* -> equal(regular(unordered_pair(v,u)),v) equal(u,identity_relation) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.45  52020[5:Rew:5381.2,52019.2] || member(regular(u),unordered_pair(u,v))* -> equal(regular(unordered_pair(u,v)),v) equal(u,identity_relation) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.45  117856[5:SpL:930.0,5321.0] || subclass(u,symmetric_difference(complement(intersection(v,w)),union(v,w)))* -> equal(u,identity_relation) member(regular(u),complement(symmetric_difference(v,w))).
% 299.85/300.45  34024[5:SpL:5338.1,15.0] || member(regular(cross_product(u,v)),cross_product(w,x))* -> equal(cross_product(u,v),identity_relation) member(first(regular(cross_product(u,v))),w).
% 299.85/300.45  34025[5:SpL:5338.1,16.0] || member(regular(cross_product(u,v)),cross_product(w,x))* -> equal(cross_product(u,v),identity_relation) member(second(regular(cross_product(u,v))),x).
% 299.85/300.45  34023[5:SpL:5338.1,142.0] || member(regular(cross_product(u,v)),rest_of(w)) -> equal(cross_product(u,v),identity_relation) member(first(regular(cross_product(u,v))),domain_of(w))*.
% 299.85/300.45  123650[5:Res:5213.0,3336.0] || member(u,v)* -> equal(integer_of(w),identity_relation) equal(ordered_pair(first(ordered_pair(u,w)),second(ordered_pair(u,w))),ordered_pair(u,w))**.
% 299.85/300.45  117927[5:Res:5343.1,595.0] ||  -> equal(restrict(restrict(u,v,w),x,y),identity_relation) member(regular(restrict(restrict(u,v,w),x,y)),cross_product(v,w))*.
% 299.85/300.45  34360[5:Res:5252.1,3336.0] || member(u,v)* -> equal(singleton(w),identity_relation) equal(ordered_pair(first(ordered_pair(u,w)),second(ordered_pair(u,w))),ordered_pair(u,w))**.
% 299.85/300.45  29212[5:Obv:29199.2] || member(u,v) member(u,unordered_pair(v,w))* -> equal(regular(unordered_pair(v,w)),w) equal(unordered_pair(v,w),identity_relation).
% 299.85/300.45  29213[5:Obv:29198.2] || member(u,v) member(u,unordered_pair(w,v))* -> equal(regular(unordered_pair(w,v)),w) equal(unordered_pair(w,v),identity_relation).
% 299.85/300.45  50607[5:Rew:123.0,50556.1] || member(regular(complement(segment(u,v,w))),cantor(restrict(u,v,singleton(w))))* -> equal(complement(segment(u,v,w)),identity_relation).
% 299.85/300.45  116848[5:Res:5295.1,8157.0] ||  -> equal(intersection(u,symmetric_difference(complement(v),complement(w))),identity_relation) member(regular(intersection(u,symmetric_difference(complement(v),complement(w)))),union(v,w))*.
% 299.85/300.45  116828[5:Res:5294.1,8157.0] ||  -> equal(intersection(symmetric_difference(complement(u),complement(v)),w),identity_relation) member(regular(intersection(symmetric_difference(complement(u),complement(v)),w)),union(u,v))*.
% 299.85/300.45  77015[5:Res:119.1,5229.1] inductive(compose(restrict(u,v,v),restrict(u,v,v))) || transitive(u,v) -> member(identity_relation,restrict(u,v,v))*.
% 299.85/300.45  123658[5:Res:5213.0,2612.0] || member(not_subclass_element(u,intersection(v,omega)),v)* -> equal(integer_of(not_subclass_element(u,intersection(v,omega))),identity_relation) subclass(u,intersection(v,omega)).
% 299.85/300.45  181338[5:SpR:145868.1,5400.1] || subclass(inverse(u),u)* asymmetric(u,singleton(v)) -> equal(range__dfg(inverse(u),v,singleton(v)),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.85/300.45  183415[5:Res:57.1,5490.0] || member(u,universal_class) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(power_class(u),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  183419[5:Res:55.1,5490.0] || member(u,universal_class) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(sum_class(u),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  183424[5:Res:119650.1,5490.0] || equal(u,universal_class) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(w),least(omega,u))),identity_relation)**.
% 299.85/300.45  183425[5:Res:763.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(w),least(omega,u))),identity_relation)**.
% 299.85/300.45  183429[5:Res:3.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(u,w) equal(integer_of(ordered_pair(not_subclass_element(u,w),least(omega,u))),identity_relation)**.
% 299.85/300.45  183515[7:Res:125624.1,5490.0] || equal(u,singleton(identity_relation)) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,u))),identity_relation)**.
% 299.85/300.45  183522[7:Res:167376.1,5490.0] || subclass(complement(u),v)* well_ordering(omega,v) -> member(identity_relation,u) equal(integer_of(ordered_pair(identity_relation,least(omega,complement(u)))),identity_relation)**.
% 299.85/300.45  46314[0:Res:2603.2,3924.0] || member(u,cross_product(v,w))* member(u,x)* subclass(restrict(x,v,w),y)* well_ordering(universal_class,y) -> .
% 299.85/300.45  37343[0:Res:5.0,3714.2] || member(u,v)* member(w,x)* well_ordering(y,universal_class) -> member(least(y,cross_product(x,v)),cross_product(x,v))*.
% 299.85/300.45  183488[5:Res:646.0,5490.0] || subclass(ordered_pair(u,v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(singleton(u),least(omega,ordered_pair(u,v)))),identity_relation)**.
% 299.85/300.45  47714[0:Res:47673.0,3704.1] || member(u,universal_class) well_ordering(v,w) -> member(u,complement(w))* member(least(v,complement(complement(w))),complement(complement(w)))*.
% 299.85/300.45  28063[3:Res:8249.0,3692.1] inductive(restrict(u,v,w)) || well_ordering(x,u) -> member(least(x,restrict(u,v,w)),restrict(u,v,w))*.
% 299.85/300.45  104041[3:Res:28061.2,596.0] inductive(restrict(u,v,w)) || well_ordering(x,restrict(u,v,w)) -> member(least(x,restrict(u,v,w)),u)*.
% 299.85/300.45  37447[0:Res:5.0,3705.2] || member(u,v)* member(u,w)* well_ordering(x,universal_class) -> member(least(x,intersection(w,v)),intersection(w,v))*.
% 299.85/300.45  37453[0:Res:8231.0,3705.2] || member(u,v)* member(u,w)* well_ordering(x,v) -> member(least(x,intersection(w,v)),intersection(w,v))*.
% 299.85/300.45  29490[0:MRR:28897.1,29469.1] || member(u,universal_class)* member(v,u)* subclass(element_relation,w) well_ordering(x,w)* -> member(least(x,element_relation),element_relation)*.
% 299.85/300.45  20347[0:Res:780.2,126.0] || member(u,universal_class)* subclass(rest_relation,v) subclass(v,w)* well_ordering(x,w)* -> member(least(x,v),v)*.
% 299.85/300.45  37452[0:Res:8325.0,3705.2] || member(u,v)* member(u,w)* well_ordering(x,w) -> member(least(x,intersection(w,v)),intersection(w,v))*.
% 299.85/300.45  85828[5:Res:45832.1,5215.0] || member(u,cantor(v))* well_ordering(w,domain_of(v))* -> equal(singleton(u),identity_relation) member(least(w,singleton(u)),singleton(u))*.
% 299.85/300.45  85826[3:Res:45832.1,3692.1] inductive(singleton(u)) || member(u,cantor(v))* well_ordering(w,domain_of(v))* -> member(least(w,singleton(u)),singleton(u))*.
% 299.85/300.45  28077[3:Res:8337.0,3692.1] inductive(symmetric_difference(u,v)) || well_ordering(w,complement(intersection(u,v))) -> member(least(w,symmetric_difference(u,v)),symmetric_difference(u,v))*.
% 299.85/300.45  104030[3:Res:28061.2,8165.1] inductive(intersection(u,v)) || well_ordering(w,intersection(u,v)) member(least(w,intersection(u,v)),symmetric_difference(u,v))* -> .
% 299.85/300.45  39293[5:Res:39252.1,126.0] || equal(cantor(u),domain_relation) subclass(cantor(u),v)* well_ordering(w,v)* -> member(least(w,cantor(u)),cantor(u))*.
% 299.85/300.45  46403[3:Res:3564.3,3924.0] || connected(u,v) well_ordering(w,v)* subclass(not_well_ordering(u,v),x)* well_ordering(universal_class,x) -> well_ordering(u,v).
% 299.85/300.45  111334[0:Res:2603.2,111279.0] || member(singleton(singleton(u)),cross_product(v,w))* member(singleton(singleton(u)),x)* well_ordering(universal_class,restrict(x,v,w))* -> .
% 299.85/300.45  154739[0:Res:122840.1,1043.0] || well_ordering(universal_class,complement(ordered_pair(u,v)))* -> equal(singleton(singleton(w)),unordered_pair(u,singleton(v)))* equal(singleton(singleton(w)),singleton(u)).
% 299.85/300.45  46313[0:Res:689.1,3924.0] || member(u,universal_class) subclass(intersection(complement(v),complement(w)),x)* well_ordering(universal_class,x) -> member(u,union(v,w))*.
% 299.85/300.45  46350[0:Res:3743.3,3924.0] || member(u,universal_class)* member(v,universal_class)* equal(successor(v),u)* subclass(successor_relation,w) well_ordering(universal_class,w)* -> .
% 299.85/300.45  183417[5:Res:29531.1,5490.0] || subclass(universal_class,u) well_ordering(omega,u)* -> subclass(v,w) equal(integer_of(ordered_pair(not_subclass_element(v,w),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  48814[5:Res:5403.2,596.0] || well_ordering(u,restrict(v,w,x)) -> equal(restrict(v,w,x),identity_relation) member(least(u,restrict(v,w,x)),v)*.
% 299.85/300.45  123257[5:Rew:119684.0,52344.2,119684.0,52344.1,119684.0,52344.0] || well_ordering(u,symmetric_difference(universal_class,v)) member(least(u,symmetric_difference(universal_class,v)),union(v,identity_relation))* -> equal(symmetric_difference(universal_class,v),identity_relation).
% 299.85/300.45  46196[5:Res:45887.0,5259.0] || well_ordering(u,domain_of(v)) -> equal(segment(u,restrict(cantor(v),w,x),least(u,restrict(cantor(v),w,x))),identity_relation)**.
% 299.85/300.45  8617[5:Res:8337.0,5215.0] || well_ordering(u,complement(intersection(v,w))) -> equal(symmetric_difference(v,w),identity_relation) member(least(u,symmetric_difference(v,w)),symmetric_difference(v,w))*.
% 299.85/300.45  8274[5:Res:8249.0,5215.0] || well_ordering(u,v) -> equal(restrict(v,w,x),identity_relation) member(least(u,restrict(v,w,x)),restrict(v,w,x))*.
% 299.85/300.45  86392[5:Res:86316.0,5259.0] || well_ordering(u,intersection(complement(v),complement(inverse(v)))) -> equal(segment(u,complement(symmetrization_of(v)),least(u,complement(symmetrization_of(v)))),identity_relation)**.
% 299.85/300.45  86436[5:Res:86317.0,5259.0] || well_ordering(u,intersection(complement(v),complement(singleton(v)))) -> equal(segment(u,complement(successor(v)),least(u,complement(successor(v)))),identity_relation)**.
% 299.85/300.45  48809[5:Res:5403.2,8165.1] || well_ordering(u,intersection(v,w)) member(least(u,intersection(v,w)),symmetric_difference(v,w))* -> equal(intersection(v,w),identity_relation).
% 299.85/300.45  28757[5:Res:5420.2,2.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(compose_class(v),w) -> equal(compose_class(v),identity_relation) member(least(u,compose_class(v)),w)*.
% 299.85/300.45  28774[5:Res:5419.2,2.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(rest_of(v),w) -> equal(rest_of(v),identity_relation) member(least(u,rest_of(v)),w)*.
% 299.85/300.45  8110[5:Obv:8109.3] || well_ordering(u,universal_class) connected(u,v) member(least(u,not_well_ordering(u,v)),not_well_ordering(u,v))* -> well_ordering(u,v).
% 299.85/300.45  33385[0:Res:63.1,3524.1] function(image(u,image(v,singleton(w)))) || member(ordered_pair(w,x),compose(u,v))* -> member(x,cross_product(universal_class,universal_class)).
% 299.85/300.45  183422[5:Res:7512.1,5490.0] function(u) || subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(apply(u,w),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  5342[5:Rew:5180.0,863.1] || member(restrict(u,v,w),universal_class) -> equal(restrict(u,v,w),identity_relation) member(apply(choice,restrict(u,v,w)),u)*.
% 299.85/300.45  120341[5:Rew:118447.0,120313.2,118447.0,120313.0] || member(union(u,identity_relation),universal_class) member(apply(choice,union(u,identity_relation)),symmetric_difference(universal_class,u))* -> equal(union(u,identity_relation),identity_relation).
% 299.85/300.45  40066[5:SpL:5337.2,39996.0] || member(cross_product(u,v),universal_class) subclass(universal_class,complement(singleton(apply(choice,cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  40078[5:SpL:5337.2,40069.0] || member(cross_product(u,v),universal_class) equal(complement(singleton(apply(choice,cross_product(u,v)))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  30743[5:Rew:160.0,30663.1,160.0,30663.0] || member(symmetric_difference(u,v),universal_class) -> equal(symmetric_difference(u,v),identity_relation) member(apply(choice,symmetric_difference(u,v)),complement(intersection(u,v)))*.
% 299.85/300.45  123259[5:Rew:119684.0,52322.2,119684.0,52322.1,119684.0,52322.0] || member(symmetric_difference(universal_class,u),universal_class) member(apply(choice,symmetric_difference(universal_class,u)),union(u,identity_relation))* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.85/300.45  30597[5:Res:5330.2,1054.0] || member(intersection(u,singleton(v)),universal_class) -> equal(intersection(u,singleton(v)),identity_relation) equal(apply(choice,intersection(u,singleton(v))),v)**.
% 299.85/300.45  30703[5:Res:5331.2,1054.0] || member(intersection(singleton(u),v),universal_class) -> equal(intersection(singleton(u),v),identity_relation) equal(apply(choice,intersection(singleton(u),v)),u)**.
% 299.85/300.45  47903[5:Res:5216.2,8165.1] || member(intersection(u,v),universal_class) member(apply(choice,intersection(u,v)),symmetric_difference(u,v))* -> equal(intersection(u,v),identity_relation).
% 299.85/300.45  32704[5:MRR:32703.0,12.0] || subclass(unordered_pair(u,v),w)* -> equal(apply(choice,unordered_pair(u,v)),u)** equal(unordered_pair(u,v),identity_relation) member(v,w).
% 299.85/300.45  32702[5:MRR:32701.0,12.0] || subclass(unordered_pair(u,v),w)* -> equal(apply(choice,unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation) member(u,w).
% 299.85/300.45  27647[5:Res:5329.3,5405.0] || member(u,universal_class) subclass(u,regular(v)) member(apply(choice,u),v)* -> equal(u,identity_relation) equal(v,identity_relation).
% 299.85/300.45  27629[5:Res:5329.3,595.0] || member(u,universal_class) subclass(u,restrict(v,w,x))* -> equal(u,identity_relation) member(apply(choice,u),cross_product(w,x))*.
% 299.85/300.45  47921[5:Res:5329.3,8165.1] || member(u,universal_class) subclass(u,intersection(v,w)) member(apply(choice,u),symmetric_difference(v,w))* -> equal(u,identity_relation).
% 299.85/300.45  123191[5:Rew:119684.0,52339.1] || member(u,universal_class) subclass(u,symmetric_difference(universal_class,v)) member(apply(choice,u),union(v,identity_relation))* -> equal(u,identity_relation).
% 299.85/300.45  126372[5:SoR:122912.0,8479.2] single_valued_class(image(successor_relation,cross_product(universal_class,universal_class))) || member(identity_relation,cross_product(universal_class,universal_class)) equal(image(successor_relation,cross_product(universal_class,universal_class)),identity_relation)** -> .
% 299.85/300.45  46384[0:Res:59.1,3924.0] || member(ordered_pair(u,v),compose(w,x))* subclass(image(w,image(x,singleton(u))),y)* well_ordering(universal_class,y) -> .
% 299.85/300.45  168538[12:Rew:168477.0,168493.1] || member(image(recursion(u,successor_relation,identity_relation),singleton(v)),universal_class) -> subclass(ordinal_add(u,v),image(recursion(u,successor_relation,identity_relation),singleton(v)))*.
% 299.85/300.45  27479[5:Res:827.3,5405.0] function(u) || member(v,universal_class) subclass(universal_class,regular(w)) member(image(u,v),w)* -> equal(w,identity_relation).
% 299.85/300.45  27462[0:Res:827.3,595.0] function(u) || member(v,universal_class) subclass(universal_class,restrict(w,x,y))* -> member(image(u,v),cross_product(x,y))*.
% 299.85/300.45  47934[0:Res:827.3,8165.1] function(u) || member(v,universal_class) subclass(universal_class,intersection(w,x)) member(image(u,v),symmetric_difference(w,x))* -> .
% 299.85/300.45  123190[5:Rew:119684.0,52353.2] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(universal_class,w)) member(image(u,v),union(w,identity_relation))* -> .
% 299.85/300.45  28066[3:Res:49.1,3692.1] inductive(u) inductive(image(successor_relation,u)) || well_ordering(v,u) -> member(least(v,image(successor_relation,u)),image(successor_relation,u))*.
% 299.85/300.45  126585[0:SpL:579.0,8157.0] || member(u,symmetric_difference(complement(v),power_class(intersection(complement(w),complement(x)))))* -> member(u,union(v,image(element_relation,union(w,x)))).
% 299.85/300.45  126582[0:SpL:579.0,8157.0] || member(u,symmetric_difference(power_class(intersection(complement(v),complement(w))),complement(x)))* -> member(u,union(image(element_relation,union(v,w)),x)).
% 299.85/300.45  9160[0:SpR:579.0,9005.0] ||  -> subclass(symmetric_difference(power_class(intersection(complement(u),complement(v))),complement(singleton(image(element_relation,union(u,v))))),successor(image(element_relation,union(u,v))))*.
% 299.85/300.45  9145[0:SpR:579.0,9004.0] ||  -> subclass(symmetric_difference(power_class(intersection(complement(u),complement(v))),complement(inverse(image(element_relation,union(u,v))))),symmetrization_of(image(element_relation,union(u,v))))*.
% 299.85/300.45  8682[5:Rew:579.0,8674.1] || subclass(power_class(intersection(complement(u),complement(v))),image(element_relation,union(u,v)))* -> equal(power_class(intersection(complement(u),complement(v))),identity_relation).
% 299.85/300.45  35492[5:Res:29487.1,3525.0] || member(ordered_pair(u,not_subclass_element(v,image(element_relation,image(universal_class,singleton(u))))),element_relation)* -> subclass(v,image(element_relation,image(universal_class,singleton(u)))).
% 299.85/300.45  87322[0:Res:86994.1,134.1] || equal(domain_of(restrict(u,v,range_of(w))),cantor(inverse(w)))** subclass(range_of(w),v) -> section(u,range_of(w),v).
% 299.85/300.45  22740[5:Rew:22446.0,11975.1] || well_ordering(u,complement(cantor(inverse(v)))) -> equal(segment(u,symmetric_difference(range_of(v),universal_class),least(u,symmetric_difference(range_of(v),universal_class))),identity_relation)**.
% 299.85/300.45  49048[5:Res:47940.0,5259.0] || well_ordering(u,range_of(v)) -> equal(segment(u,complement(complement(cantor(inverse(v)))),least(u,complement(complement(cantor(inverse(v)))))),identity_relation)**.
% 299.85/300.45  46141[5:Res:45938.0,5259.0] || well_ordering(u,range_of(v)) -> equal(segment(u,intersection(w,cantor(inverse(v))),least(u,intersection(w,cantor(inverse(v))))),identity_relation)**.
% 299.85/300.45  46098[5:Res:45849.0,5259.0] || well_ordering(u,range_of(v)) -> equal(segment(u,intersection(cantor(inverse(v)),w),least(u,intersection(cantor(inverse(v)),w))),identity_relation)**.
% 299.85/300.45  87320[4:Res:86994.1,3412.1] || equal(cantor(inverse(u)),sum_class(range_of(u))) well_ordering(element_relation,range_of(u))* -> equal(range_of(u),universal_class) member(range_of(u),universal_class).
% 299.85/300.45  189632[7:Rew:189431.0,179153.2] || member(u,universal_class) -> member(u,intersection(complement(v),power_class(complement(singleton(identity_relation)))))* member(u,union(v,image(element_relation,singleton(identity_relation)))).
% 299.85/300.45  189636[7:Rew:189431.0,179147.2] || member(u,universal_class) -> member(u,intersection(power_class(complement(singleton(identity_relation))),complement(v)))* member(u,union(image(element_relation,singleton(identity_relation)),v)).
% 299.85/300.45  192295[15:Res:191820.0,5259.0] || well_ordering(u,symmetric_difference(universal_class,range_of(identity_relation))) -> equal(segment(u,complement(successor(range_of(identity_relation))),least(u,complement(successor(range_of(identity_relation))))),identity_relation)**.
% 299.85/300.45  193591[7:Res:193579.0,5259.0] || well_ordering(u,singleton(identity_relation)) -> equal(segment(u,singleton(apply(choice,singleton(identity_relation))),least(u,singleton(apply(choice,singleton(identity_relation))))),identity_relation)**.
% 299.85/300.45  193644[12:SpR:191620.1,59.1] || member(u,universal_class) member(ordered_pair(sum_class(range_of(u)),v),compose(w,x))* -> member(v,image(w,image(x,identity_relation))).
% 299.85/300.45  198206[15:Res:191733.0,5490.0] || subclass(singleton(singleton(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(singleton(identity_relation),least(omega,singleton(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.45  198570[15:SpL:191663.0,3524.1] || member(ordered_pair(sum_class(range_of(identity_relation)),u),compose(v,w))* subclass(image(v,image(w,identity_relation)),x)* -> member(u,x)*.
% 299.85/300.45  198773[5:Res:827.3,124965.0] function(u) || member(v,universal_class) subclass(universal_class,complement(singleton(image(u,v))))* -> equal(singleton(image(u,v)),identity_relation).
% 299.85/300.45  198768[5:Res:5329.3,124965.0] || member(u,universal_class) subclass(u,complement(singleton(apply(choice,u))))* -> equal(u,identity_relation) equal(singleton(apply(choice,u)),identity_relation).
% 299.85/300.45  198916[5:Res:164613.0,8.0] || subclass(union(u,identity_relation),symmetric_difference(complement(u),symmetric_difference(universal_class,u)))* -> equal(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),union(u,identity_relation)).
% 299.85/300.45  200738[5:SpR:200704.1,59.1] || equal(u,universal_class) member(ordered_pair(u,v),compose(w,x))* -> inductive(u) member(v,image(w,image(x,identity_relation))).
% 299.85/300.45  201396[5:Res:146221.1,5259.0] || subclass(u,v) well_ordering(w,complement(u)) -> equal(segment(w,symmetric_difference(v,u),least(w,symmetric_difference(v,u))),identity_relation)**.
% 299.85/300.45  204028[5:Res:203246.1,5490.0] || equal(complement(u),identity_relation) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(identity_relation,least(omega,u))),identity_relation)**.
% 299.85/300.45  204099[5:Res:203247.1,5490.0] || equal(complement(u),identity_relation) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(omega,least(omega,u))),identity_relation)**.
% 299.85/300.45  204217[5:SpL:5337.2,203697.0] || member(cross_product(u,v),universal_class) equal(complement(complement(apply(choice,cross_product(u,v)))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  204228[5:SpL:5337.2,201820.0] || member(cross_product(u,v),universal_class) subclass(unordered_pair(w,apply(choice,cross_product(u,v))),identity_relation)* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  204299[5:SpL:5337.2,201825.0] || member(cross_product(u,v),universal_class) subclass(unordered_pair(apply(choice,cross_product(u,v)),w),identity_relation)* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  204501[5:SpL:5337.2,203267.0] || member(cross_product(u,v),universal_class) equal(unordered_pair(w,apply(choice,cross_product(u,v))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  204519[5:SpL:5337.2,203270.0] || member(cross_product(u,v),universal_class) equal(unordered_pair(apply(choice,cross_product(u,v)),w),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  205122[5:Res:205098.1,5490.0] || equal(identity_relation,u) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(power_class(u),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  205288[5:Res:205150.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,u))),identity_relation)**.
% 299.85/300.45  206371[5:Res:201827.1,2599.1] || subclass(complement(complement(intersection(u,v))),identity_relation)* member(singleton(w),union(u,v)) -> member(singleton(w),symmetric_difference(u,v))*.
% 299.85/300.45  206492[5:EmS:5373.0,5373.1,4792.2,166138.1] single_valued_class(complement(u)) || equal(cross_product(universal_class,universal_class),complement(u))* equal(complement(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.45  206484[5:EmS:5373.0,5373.1,4792.2,166137.1] single_valued_class(power_class(u)) || equal(cross_product(universal_class,universal_class),power_class(u))* equal(power_class(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.45  206472[5:EmS:5373.0,5373.1,4792.2,166139.1] single_valued_class(inverse(u)) || equal(cross_product(universal_class,universal_class),inverse(u))* equal(inverse(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.45  206467[5:EmS:5373.0,5373.1,4792.2,200205.1] single_valued_class(symmetrization_of(u)) || equal(cross_product(universal_class,universal_class),symmetrization_of(u))* equal(symmetrization_of(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.45  206463[5:EmS:5373.0,5373.1,4792.2,166136.1] single_valued_class(sum_class(u)) || equal(cross_product(universal_class,universal_class),sum_class(u))* equal(sum_class(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.45  206455[5:EmS:5373.0,5373.1,4792.2,166140.1] single_valued_class(range_of(u)) || equal(cross_product(universal_class,universal_class),range_of(u))* equal(range_of(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.45  206447[5:EmS:5373.0,5373.1,4792.2,200204.1] single_valued_class(successor(u)) || equal(cross_product(universal_class,universal_class),successor(u))* equal(successor(u),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.45  206669[5:Res:203299.1,2599.1] || equal(complement(complement(intersection(u,v))),identity_relation) member(singleton(w),union(u,v)) -> member(singleton(w),symmetric_difference(u,v))*.
% 299.85/300.45  207712[5:Res:29628.0,8157.0] ||  -> equal(complement(complement(symmetric_difference(complement(u),complement(v)))),identity_relation) member(regular(complement(complement(symmetric_difference(complement(u),complement(v))))),union(u,v))*.
% 299.85/300.45  208621[0:Rew:120682.0,208556.0] || member(cross_product(u,singleton(v)),segment(universal_class,u,v)) -> member(ordered_pair(cross_product(u,singleton(v)),segment(universal_class,u,v)),element_relation)*.
% 299.85/300.45  209039[17:Rew:208959.1,208268.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,regular(complement(power_class(universal_class))))*.
% 299.85/300.45  209040[17:Rew:208959.1,208118.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,regular(complement(power_class(identity_relation))))*.
% 299.85/300.45  209079[15:Rew:208959.1,162219.2] function(u) || subclass(range_of(u),cantor(range_of(v)))* equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.85/300.45  209080[15:Rew:208959.1,34966.2] function(u) || equal(domain_of(range_of(v)),range_of(u)) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.85/300.45  209454[17:MRR:28684.3,209431.1] single_valued_class(sum_class(cross_product(universal_class,universal_class))) || well_ordering(element_relation,cross_product(universal_class,universal_class))* equal(sum_class(cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)) -> .
% 299.85/300.45  210060[17:Rew:209320.1,209817.1] function(u) || member(restrict(v,w,identity_relation),universal_class) -> member(ordered_pair(restrict(v,w,identity_relation),segment(v,w,u)),domain_relation)*.
% 299.85/300.45  38781[5:MRR:38780.2,5184.0] || asymmetric(cross_product(u,v),w) transitive(restrict(inverse(cross_product(u,v)),u,v),w)* -> equal(compose(identity_relation,identity_relation),identity_relation).
% 299.85/300.45  31919[5:SpL:5389.1,3834.0] || asymmetric(cross_product(u,v),w) equal(compose(identity_relation,identity_relation),identity_relation) -> transitive(restrict(inverse(cross_product(u,v)),u,v),w)*.
% 299.85/300.45  27364[5:SpR:30.0,5473.2] || asymmetric(cross_product(u,v),w) subclass(compose(identity_relation,identity_relation),identity_relation) -> transitive(restrict(inverse(cross_product(u,v)),u,v),w)*.
% 299.85/300.45  209041[17:Rew:208959.1,207932.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,regular(complement(symmetrization_of(identity_relation))))*.
% 299.85/300.45  179035[5:SpR:122494.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),power_class(complement(inverse(identity_relation)))))* member(u,union(v,image(element_relation,symmetrization_of(identity_relation)))).
% 299.85/300.45  179029[5:SpR:122494.0,689.1] || member(u,universal_class) -> member(u,intersection(power_class(complement(inverse(identity_relation))),complement(v)))* member(u,union(image(element_relation,symmetrization_of(identity_relation)),v)).
% 299.85/300.45  191356[5:Res:180196.1,5215.0] || member(u,inverse(identity_relation)) well_ordering(v,symmetrization_of(identity_relation)) -> equal(singleton(u),identity_relation) member(least(v,singleton(u)),singleton(u))*.
% 299.85/300.45  213570[5:Obv:213563.2] || subclass(universal_class,u) member(omega,unordered_pair(v,u))* -> equal(regular(unordered_pair(v,u)),v) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.45  213571[5:Obv:213562.2] || subclass(universal_class,u) member(omega,unordered_pair(u,v))* -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.45  213873[17:Res:195387.1,9.0] || subclass(domain_relation,rotate(unordered_pair(u,v)))* -> equal(ordered_pair(ordered_pair(w,identity_relation),x),v)* equal(ordered_pair(ordered_pair(w,identity_relation),x),u)*.
% 299.85/300.45  213975[17:Res:195388.1,9.0] || subclass(domain_relation,flip(unordered_pair(u,v)))* -> equal(ordered_pair(ordered_pair(w,x),identity_relation),v)* equal(ordered_pair(ordered_pair(w,x),identity_relation),u)*.
% 299.85/300.45  216540[5:SpR:122494.0,8659.0] ||  -> equal(power_class(intersection(power_class(complement(inverse(identity_relation))),complement(inverse(image(element_relation,symmetrization_of(identity_relation)))))),complement(image(element_relation,symmetrization_of(image(element_relation,symmetrization_of(identity_relation))))))**.
% 299.85/300.45  216538[7:SpR:189471.0,8659.0] ||  -> equal(power_class(intersection(power_class(complement(singleton(identity_relation))),complement(inverse(image(element_relation,singleton(identity_relation)))))),complement(image(element_relation,symmetrization_of(image(element_relation,singleton(identity_relation))))))**.
% 299.85/300.45  216669[5:SpR:122494.0,8660.0] ||  -> equal(power_class(intersection(power_class(complement(inverse(identity_relation))),complement(singleton(image(element_relation,symmetrization_of(identity_relation)))))),complement(image(element_relation,successor(image(element_relation,symmetrization_of(identity_relation))))))**.
% 299.85/300.45  216667[7:SpR:189471.0,8660.0] ||  -> equal(power_class(intersection(power_class(complement(singleton(identity_relation))),complement(singleton(image(element_relation,singleton(identity_relation)))))),complement(image(element_relation,successor(image(element_relation,singleton(identity_relation))))))**.
% 299.85/300.45  217758[5:SpL:122711.0,8157.0] || member(u,symmetric_difference(complement(v),union(w,symmetric_difference(universal_class,x))))* -> member(u,union(v,intersection(complement(w),union(x,identity_relation)))).
% 299.85/300.45  217752[5:SpL:122711.0,8157.0] || member(u,symmetric_difference(union(v,symmetric_difference(universal_class,w)),complement(x)))* -> member(u,union(intersection(complement(v),union(w,identity_relation)),x)).
% 299.85/300.45  217725[5:SpL:122711.0,113722.0] || subclass(intersection(complement(u),union(v,identity_relation)),union(u,symmetric_difference(universal_class,v)))* -> equal(intersection(complement(u),union(v,identity_relation)),identity_relation).
% 299.85/300.45  217681[5:SpR:579.0,122711.0] ||  -> equal(complement(intersection(power_class(intersection(complement(u),complement(v))),union(w,identity_relation))),union(image(element_relation,union(u,v)),symmetric_difference(universal_class,w)))**.
% 299.85/300.45  217634[5:SpR:122711.0,122711.0] ||  -> equal(union(intersection(complement(u),union(v,identity_relation)),symmetric_difference(universal_class,w)),complement(intersection(union(u,symmetric_difference(universal_class,v)),union(w,identity_relation))))**.
% 299.85/300.45  217816[5:Rew:122711.0,217728.1] || member(regular(union(u,symmetric_difference(universal_class,v))),intersection(complement(u),union(v,identity_relation)))* -> equal(union(u,symmetric_difference(universal_class,v)),identity_relation).
% 299.85/300.45  217819[5:Rew:122711.0,217643.1] ||  -> member(not_subclass_element(u,union(v,symmetric_difference(universal_class,w))),intersection(complement(v),union(w,identity_relation)))* subclass(u,union(v,symmetric_difference(universal_class,w))).
% 299.85/300.45  217894[5:SpL:579.0,5360.0] || subclass(omega,power_class(intersection(complement(u),complement(v))))* member(w,image(element_relation,union(u,v)))* -> equal(integer_of(w),identity_relation).
% 299.85/300.45  217883[5:SpL:122711.0,5360.0] || subclass(omega,union(u,symmetric_difference(universal_class,v))) member(w,intersection(complement(u),union(v,identity_relation)))* -> equal(integer_of(w),identity_relation).
% 299.85/300.45  218158[5:Obv:218156.1] || subclass(unordered_pair(u,v),omega)* -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation) equal(integer_of(v),v).
% 299.85/300.45  218159[5:Obv:218155.1] || subclass(unordered_pair(u,v),omega)* -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation) equal(integer_of(u),u).
% 299.85/300.45  218356[5:SpL:122708.0,8157.0] || member(u,symmetric_difference(complement(v),union(symmetric_difference(universal_class,w),x)))* -> member(u,union(v,intersection(union(w,identity_relation),complement(x)))).
% 299.85/300.45  218350[5:SpL:122708.0,8157.0] || member(u,symmetric_difference(union(symmetric_difference(universal_class,v),w),complement(x)))* -> member(u,union(intersection(union(v,identity_relation),complement(w)),x)).
% 299.85/300.45  218330[5:SpL:122708.0,5360.0] || subclass(omega,union(symmetric_difference(universal_class,u),v)) member(w,intersection(union(u,identity_relation),complement(v)))* -> equal(integer_of(w),identity_relation).
% 299.85/300.45  218322[5:SpL:122708.0,113722.0] || subclass(intersection(union(u,identity_relation),complement(v)),union(symmetric_difference(universal_class,u),v))* -> equal(intersection(union(u,identity_relation),complement(v)),identity_relation).
% 299.85/300.45  218269[5:SpR:579.0,122708.0] ||  -> equal(complement(intersection(union(u,identity_relation),power_class(intersection(complement(v),complement(w))))),union(symmetric_difference(universal_class,u),image(element_relation,union(v,w))))**.
% 299.85/300.45  218258[5:SpR:122711.0,122708.0] ||  -> equal(union(symmetric_difference(universal_class,u),intersection(complement(v),union(w,identity_relation))),complement(intersection(union(u,identity_relation),union(v,symmetric_difference(universal_class,w)))))**.
% 299.85/300.45  218244[5:SpR:122708.0,122708.0] ||  -> equal(union(symmetric_difference(universal_class,u),intersection(union(v,identity_relation),complement(w))),complement(intersection(union(u,identity_relation),union(symmetric_difference(universal_class,v),w))))**.
% 299.85/300.45  218231[5:SpR:122708.0,122711.0] ||  -> equal(union(intersection(union(u,identity_relation),complement(v)),symmetric_difference(universal_class,w)),complement(intersection(union(symmetric_difference(universal_class,u),v),union(w,identity_relation))))**.
% 299.85/300.45  218410[5:Rew:122708.0,218325.1] || member(regular(union(symmetric_difference(universal_class,u),v)),intersection(union(u,identity_relation),complement(v)))* -> equal(union(symmetric_difference(universal_class,u),v),identity_relation).
% 299.85/300.45  218413[5:Rew:122708.0,218240.1] ||  -> member(not_subclass_element(u,union(symmetric_difference(universal_class,v),w)),intersection(union(v,identity_relation),complement(w)))* subclass(u,union(symmetric_difference(universal_class,v),w)).
% 299.85/300.45  219366[5:Res:219313.1,126.0] || subclass(complement(u),identity_relation) subclass(successor(u),v)* well_ordering(w,v)* -> member(least(w,successor(u)),successor(u))*.
% 299.85/300.45  219438[5:Res:219417.1,126.0] || subclass(complement(u),identity_relation) subclass(symmetrization_of(u),v)* well_ordering(w,v)* -> member(least(w,symmetrization_of(u)),symmetrization_of(u))*.
% 299.85/300.45  219658[5:SpL:930.0,5467.0] || subclass(omega,symmetric_difference(complement(intersection(u,v)),union(u,v)))* -> equal(integer_of(w),identity_relation) member(w,complement(symmetric_difference(u,v)))*.
% 299.85/300.45  220086[17:SpR:209749.1,144.2] function(u) || member(identity_relation,domain_of(v)) equal(restrict(v,identity_relation,universal_class),u)* -> member(singleton(singleton(identity_relation)),rest_of(v))*.
% 299.85/300.45  220574[0:SpR:580.0,5172.1] || subclass(universal_class,symmetric_difference(intersection(complement(u),complement(v)),w)) -> member(unordered_pair(x,y),complement(intersection(union(u,v),complement(w))))*.
% 299.85/300.45  220565[0:SpR:581.0,5172.1] || subclass(universal_class,symmetric_difference(u,intersection(complement(v),complement(w)))) -> member(unordered_pair(x,y),complement(intersection(complement(u),union(v,w))))*.
% 299.85/300.45  220651[20:Res:212352.1,1043.0] || subclass(inverse(identity_relation),ordered_pair(u,v))* -> equal(unordered_pair(u,singleton(v)),regular(symmetrization_of(identity_relation))) equal(regular(symmetrization_of(identity_relation)),singleton(u)).
% 299.85/300.45  221447[20:Res:214397.1,1043.0] || subclass(symmetrization_of(identity_relation),ordered_pair(u,v))* -> equal(unordered_pair(u,singleton(v)),regular(symmetrization_of(identity_relation))) equal(regular(symmetrization_of(identity_relation)),singleton(u)).
% 299.85/300.45  223123[5:Res:223091.1,2599.1] || equal(complement(complement(intersection(u,v))),identity_relation) member(power_class(identity_relation),union(u,v)) -> member(power_class(identity_relation),symmetric_difference(u,v))*.
% 299.85/300.45  224443[5:Rew:122494.0,224435.2] || subclass(omega,image(element_relation,symmetrization_of(identity_relation))) -> equal(integer_of(regular(power_class(complement(inverse(identity_relation))))),identity_relation)** equal(power_class(complement(inverse(identity_relation))),identity_relation).
% 299.85/300.45  224444[7:Rew:189471.0,224433.2] || subclass(omega,image(element_relation,singleton(identity_relation))) -> equal(integer_of(regular(power_class(complement(singleton(identity_relation))))),identity_relation)** equal(power_class(complement(singleton(identity_relation))),identity_relation).
% 299.85/300.45  224810[0:Res:24.2,7571.2] || member(power_class(u),v)* member(power_class(u),w)* member(u,universal_class) subclass(universal_class,complement(intersection(w,v)))* -> .
% 299.85/300.45  225654[0:Res:24.2,7606.2] || member(sum_class(u),v)* member(sum_class(u),w)* member(u,universal_class) subclass(universal_class,complement(intersection(w,v)))* -> .
% 299.85/300.45  225914[5:Res:29474.1,29630.0] || member(apply(choice,regular(cantor(inverse(u)))),range_of(u))* -> equal(regular(cantor(inverse(u))),identity_relation) equal(cantor(inverse(u)),identity_relation).
% 299.85/300.45  226284[5:Res:226257.1,5490.0] || member(u,universal_class) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(rest_of(u),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  227130[0:Rew:120682.0,227058.1] || member(not_subclass_element(complement(segment(universal_class,u,v)),w),cantor(cross_product(u,singleton(v))))* -> subclass(complement(segment(universal_class,u,v)),w).
% 299.85/300.45  227291[5:Res:227180.0,5215.0] || well_ordering(u,complement(cantor(inverse(v)))) -> equal(complement(range_of(v)),identity_relation) member(least(u,complement(range_of(v))),complement(range_of(v)))*.
% 299.85/300.45  227290[3:Res:227180.0,3692.1] inductive(complement(range_of(u))) || well_ordering(v,complement(cantor(inverse(u)))) -> member(least(v,complement(range_of(u))),complement(range_of(u)))*.
% 299.85/300.45  227588[5:Rew:122494.0,227474.1] || member(regular(intersection(power_class(complement(inverse(identity_relation))),u)),image(element_relation,symmetrization_of(identity_relation)))* -> equal(intersection(power_class(complement(inverse(identity_relation))),u),identity_relation).
% 299.85/300.45  227589[7:Rew:189471.0,227472.1] || member(regular(intersection(power_class(complement(singleton(identity_relation))),u)),image(element_relation,singleton(identity_relation)))* -> equal(intersection(power_class(complement(singleton(identity_relation))),u),identity_relation).
% 299.85/300.45  228292[5:Rew:122494.0,227903.1] || member(regular(intersection(u,power_class(complement(inverse(identity_relation))))),image(element_relation,symmetrization_of(identity_relation)))* -> equal(intersection(u,power_class(complement(inverse(identity_relation)))),identity_relation).
% 299.85/300.45  228293[7:Rew:189471.0,227901.1] || member(regular(intersection(u,power_class(complement(singleton(identity_relation))))),image(element_relation,singleton(identity_relation)))* -> equal(intersection(u,power_class(complement(singleton(identity_relation)))),identity_relation).
% 299.85/300.45  229773[5:SpR:122711.0,5585.1] ||  -> equal(symmetric_difference(complement(u),union(v,identity_relation)),identity_relation) member(regular(symmetric_difference(complement(u),union(v,identity_relation))),union(u,symmetric_difference(universal_class,v)))*.
% 299.85/300.45  229771[5:SpR:122708.0,5585.1] ||  -> equal(symmetric_difference(union(u,identity_relation),complement(v)),identity_relation) member(regular(symmetric_difference(union(u,identity_relation),complement(v))),union(symmetric_difference(universal_class,u),v))*.
% 299.85/300.45  230097[5:Res:29474.1,8083.0] || member(not_subclass_element(regular(cantor(inverse(u))),v),range_of(u))* -> subclass(regular(cantor(inverse(u))),v) equal(cantor(inverse(u)),identity_relation).
% 299.85/300.45  230285[5:SpL:5337.2,229090.0] || member(cross_product(u,v),universal_class) equal(complement(regular(apply(choice,cross_product(u,v)))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  230369[5:SpR:122711.0,230113.0] ||  -> subclass(regular(intersection(complement(u),union(v,identity_relation))),union(u,symmetric_difference(universal_class,v)))* equal(intersection(complement(u),union(v,identity_relation)),identity_relation).
% 299.85/300.45  230367[5:SpR:122708.0,230113.0] ||  -> subclass(regular(intersection(union(u,identity_relation),complement(v))),union(symmetric_difference(universal_class,u),v))* equal(intersection(union(u,identity_relation),complement(v)),identity_relation).
% 299.85/300.45  231482[0:Res:49.1,8433.0] inductive(intersection(u,v)) ||  -> subclass(image(successor_relation,intersection(u,v)),w) member(not_subclass_element(image(successor_relation,intersection(u,v)),w),v)*.
% 299.85/300.45  231480[5:Res:8736.1,8433.0] || equal(sum_class(intersection(u,v)),identity_relation) -> subclass(sum_class(intersection(u,v)),w) member(not_subclass_element(sum_class(intersection(u,v)),w),v)*.
% 299.85/300.45  231616[0:Res:49.1,8432.0] inductive(intersection(u,v)) ||  -> subclass(image(successor_relation,intersection(u,v)),w) member(not_subclass_element(image(successor_relation,intersection(u,v)),w),u)*.
% 299.85/300.45  231614[5:Res:8736.1,8432.0] || equal(sum_class(intersection(u,v)),identity_relation) -> subclass(sum_class(intersection(u,v)),w) member(not_subclass_element(sum_class(intersection(u,v)),w),u)*.
% 299.85/300.45  232013[0:Obv:231959.1] || member(not_subclass_element(symmetric_difference(u,v),intersection(w,union(u,v))),w)* -> subclass(symmetric_difference(u,v),intersection(w,union(u,v))).
% 299.85/300.45  232338[0:Res:601.1,776.0] || subclass(domain_of(u),v) -> subclass(restrict(cantor(u),w,x),y) member(not_subclass_element(restrict(cantor(u),w,x),y),v)*.
% 299.85/300.45  232330[0:Res:601.1,8834.0] ||  -> subclass(restrict(symmetric_difference(u,inverse(u)),v,w),x) member(not_subclass_element(restrict(symmetric_difference(u,inverse(u)),v,w),x),symmetrization_of(u))*.
% 299.85/300.45  232329[0:Res:601.1,8898.0] ||  -> subclass(restrict(symmetric_difference(u,singleton(u)),v,w),x) member(not_subclass_element(restrict(symmetric_difference(u,singleton(u)),v,w),x),successor(u))*.
% 299.85/300.45  232323[0:Res:601.1,8165.1] || member(not_subclass_element(restrict(intersection(u,v),w,x),y),symmetric_difference(u,v))* -> subclass(restrict(intersection(u,v),w,x),y).
% 299.85/300.45  232817[5:Rew:579.0,232781.1] || subclass(image(element_relation,union(u,v)),power_class(intersection(complement(u),complement(v))))* -> subclass(universal_class,power_class(intersection(complement(u),complement(v)))).
% 299.85/300.45  233070[5:SpL:5337.2,233044.0] || member(cross_product(u,v),universal_class) subclass(universal_class,regular(singleton(apply(choice,cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  233089[5:SpL:5337.2,233077.0] || member(cross_product(u,v),universal_class) equal(regular(singleton(apply(choice,cross_product(u,v)))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  233290[5:Rew:27.0,233247.1] || member(regular(image(element_relation,union(u,v))),power_class(intersection(complement(u),complement(v))))* -> equal(image(element_relation,union(u,v)),identity_relation).
% 299.85/300.45  233402[5:Res:230404.0,2609.2] || member(u,v) member(u,w) -> equal(singleton(intersection(w,v)),identity_relation) member(u,complement(singleton(intersection(w,v))))*.
% 299.85/300.45  233428[5:MRR:233378.2,202156.0] || member(u,universal_class) well_ordering(v,complement(singleton(unordered_pair(w,u)))) -> member(least(v,unordered_pair(w,u)),unordered_pair(w,u))*.
% 299.85/300.45  233429[5:MRR:233376.2,202156.0] || member(u,universal_class) well_ordering(v,complement(singleton(unordered_pair(u,w)))) -> member(least(v,unordered_pair(u,w)),unordered_pair(u,w))*.
% 299.85/300.45  233786[5:Rew:233410.0,233556.1] || member(ordered_pair(universal_class,not_subclass_element(u,image(v,image(w,identity_relation)))),compose(v,w))* -> subclass(u,image(v,image(w,identity_relation))).
% 299.85/300.45  233957[5:Res:29487.1,28903.1] || member(singleton(compose(element_relation,universal_class)),element_relation) member(compose(element_relation,universal_class),universal_class) -> member(singleton(singleton(singleton(compose(element_relation,universal_class)))),element_relation)*.
% 299.85/300.45  233975[0:MRR:233950.0,176.0] || member(union(u,v),universal_class) -> member(singleton(union(u,v)),complement(u))* member(singleton(singleton(singleton(union(u,v)))),element_relation)*.
% 299.85/300.45  233976[0:MRR:233949.0,176.0] || member(union(u,v),universal_class) -> member(singleton(union(u,v)),complement(v))* member(singleton(singleton(singleton(union(u,v)))),element_relation)*.
% 299.85/300.45  234808[5:Rew:27.0,234775.2] || subclass(omega,intersection(complement(u),complement(v)))* -> equal(integer_of(not_subclass_element(union(u,v),w)),identity_relation)** subclass(union(u,v),w).
% 299.85/300.45  234854[5:SpR:123.0,26595.1] || member(u,universal_class) -> member(u,segment(v,w,x)) equal(apply(restrict(v,w,singleton(x)),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.45  234961[5:MRR:234902.0,176.0] || member(domain_of(u),universal_class) -> equal(apply(u,singleton(domain_of(u))),sum_class(range_of(identity_relation)))** member(singleton(singleton(singleton(domain_of(u)))),element_relation)*.
% 299.85/300.45  235078[0:Rew:27.0,235007.1] ||  -> member(not_subclass_element(u,image(element_relation,union(v,w))),power_class(intersection(complement(v),complement(w))))* subclass(u,image(element_relation,union(v,w))).
% 299.85/300.45  235103[5:SpL:5337.2,233420.0] || member(cross_product(u,v),universal_class) well_ordering(universal_class,complement(singleton(apply(choice,cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  235121[5:SpR:233494.0,558.1] || member(restrict(element_relation,universal_class,image(u,identity_relation)),universal_class) -> member(ordered_pair(restrict(element_relation,universal_class,image(u,identity_relation)),apply(u,universal_class)),domain_relation)*.
% 299.85/300.45  235160[5:Rew:233494.0,235141.2] || member(image(u,identity_relation),universal_class) subclass(image(u,identity_relation),apply(u,universal_class))* -> equal(apply(u,universal_class),image(u,identity_relation)).
% 299.85/300.45  235233[5:Rew:27.0,235166.2] || well_ordering(u,universal_class) member(least(u,union(v,w)),intersection(complement(v),complement(w)))* -> equal(union(v,w),identity_relation).
% 299.85/300.45  235394[15:Rew:233634.0,235367.2] || equal(compose(u,v),range_of(identity_relation)) member(ordered_pair(v,universal_class),cross_product(universal_class,universal_class))* -> member(ordered_pair(v,universal_class),compose_class(u))*.
% 299.85/300.45  235446[17:SpL:938.0,195185.1] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,cross_product(w,x))) -> member(ordered_pair(u,identity_relation),complement(restrict(v,w,x)))*.
% 299.85/300.45  235445[17:SpL:939.0,195185.1] || member(u,universal_class) subclass(domain_relation,symmetric_difference(cross_product(v,w),x)) -> member(ordered_pair(u,identity_relation),complement(restrict(x,v,w)))*.
% 299.85/300.45  235673[0:Res:20387.1,776.0] || subclass(rest_relation,rotate(cantor(u)))* subclass(domain_of(u),v)* -> member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),v)*.
% 299.85/300.45  235664[0:Res:20387.1,8157.0] || subclass(rest_relation,rotate(symmetric_difference(complement(u),complement(v)))) -> member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),union(u,v))*.
% 299.85/300.45  235789[0:Res:20388.1,776.0] || subclass(rest_relation,flip(cantor(u)))* subclass(domain_of(u),v)* -> member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),v)*.
% 299.85/300.45  235780[0:Res:20388.1,8157.0] || subclass(rest_relation,flip(symmetric_difference(complement(u),complement(v)))) -> member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),union(u,v))*.
% 299.85/300.45  235941[5:Res:5462.2,5322.1] || subclass(omega,symmetric_difference(u,v)) subclass(w,complement(union(u,v)))* -> equal(integer_of(regular(w)),identity_relation) equal(w,identity_relation).
% 299.85/300.45  235924[5:Res:5462.2,338.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(not_subclass_element(complement(union(u,v)),w)),identity_relation)** subclass(complement(union(u,v)),w).
% 299.85/300.45  236216[0:Obv:236197.1] || member(not_subclass_element(symmetric_difference(u,inverse(u)),intersection(v,symmetrization_of(u))),v)* -> subclass(symmetric_difference(u,inverse(u)),intersection(v,symmetrization_of(u))).
% 299.85/300.45  236299[0:Obv:236268.1] || member(not_subclass_element(symmetric_difference(u,singleton(u)),intersection(v,successor(u))),v)* -> subclass(symmetric_difference(u,singleton(u)),intersection(v,successor(u))).
% 299.85/300.45  236529[0:Rew:27.0,236407.1] || member(not_subclass_element(intersection(u,union(v,w)),x),intersection(complement(v),complement(w)))* -> subclass(intersection(u,union(v,w)),x).
% 299.85/300.45  236598[5:Res:233486.0,5259.0] || well_ordering(u,segment(universal_class,v,universal_class)) -> equal(segment(u,cantor(cross_product(v,identity_relation)),least(u,cantor(cross_product(v,identity_relation)))),identity_relation)**.
% 299.85/300.45  236926[0:Rew:27.0,236780.1] || member(not_subclass_element(intersection(union(u,v),w),x),intersection(complement(u),complement(v)))* -> subclass(intersection(union(u,v),w),x).
% 299.85/300.45  237358[5:Res:5580.1,5405.0] || member(regular(intersection(u,intersection(v,regular(w)))),w)* -> equal(intersection(u,intersection(v,regular(w))),identity_relation) equal(w,identity_relation).
% 299.85/300.45  237355[5:Res:5580.1,596.0] ||  -> equal(intersection(u,intersection(v,restrict(w,x,y))),identity_relation) member(regular(intersection(u,intersection(v,restrict(w,x,y)))),w)*.
% 299.85/300.45  237348[5:Res:5580.1,158.0] ||  -> equal(intersection(u,intersection(v,omega)),identity_relation) equal(integer_of(regular(intersection(u,intersection(v,omega)))),regular(intersection(u,intersection(v,omega))))**.
% 299.85/300.45  237342[5:Res:5580.1,944.0] ||  -> equal(intersection(u,intersection(v,symmetric_difference(w,x))),identity_relation) member(regular(intersection(u,intersection(v,symmetric_difference(w,x)))),union(w,x))*.
% 299.85/300.45  237951[5:Res:5581.1,5405.0] || member(regular(intersection(u,intersection(regular(v),w))),v)* -> equal(intersection(u,intersection(regular(v),w)),identity_relation) equal(v,identity_relation).
% 299.85/300.45  237948[5:Res:5581.1,596.0] ||  -> equal(intersection(u,intersection(restrict(v,w,x),y)),identity_relation) member(regular(intersection(u,intersection(restrict(v,w,x),y))),v)*.
% 299.85/300.45  237941[5:Res:5581.1,158.0] ||  -> equal(intersection(u,intersection(omega,v)),identity_relation) equal(integer_of(regular(intersection(u,intersection(omega,v)))),regular(intersection(u,intersection(omega,v))))**.
% 299.85/300.45  237935[5:Res:5581.1,944.0] ||  -> equal(intersection(u,intersection(symmetric_difference(v,w),x)),identity_relation) member(regular(intersection(u,intersection(symmetric_difference(v,w),x))),union(v,w))*.
% 299.85/300.45  238747[5:Res:5605.1,5405.0] || member(regular(intersection(intersection(u,regular(v)),w)),v)* -> equal(intersection(intersection(u,regular(v)),w),identity_relation) equal(v,identity_relation).
% 299.85/300.45  238744[5:Res:5605.1,596.0] ||  -> equal(intersection(intersection(u,restrict(v,w,x)),y),identity_relation) member(regular(intersection(intersection(u,restrict(v,w,x)),y)),v)*.
% 299.85/300.45  238737[5:Res:5605.1,158.0] ||  -> equal(intersection(intersection(u,omega),v),identity_relation) equal(integer_of(regular(intersection(intersection(u,omega),v))),regular(intersection(intersection(u,omega),v)))**.
% 299.85/300.45  238731[5:Res:5605.1,944.0] ||  -> equal(intersection(intersection(u,symmetric_difference(v,w)),x),identity_relation) member(regular(intersection(intersection(u,symmetric_difference(v,w)),x)),union(v,w))*.
% 299.85/300.45  239541[5:Res:5606.1,5405.0] || member(regular(intersection(intersection(regular(u),v),w)),u)* -> equal(intersection(intersection(regular(u),v),w),identity_relation) equal(u,identity_relation).
% 299.85/300.45  239538[5:Res:5606.1,596.0] ||  -> equal(intersection(intersection(restrict(u,v,w),x),y),identity_relation) member(regular(intersection(intersection(restrict(u,v,w),x),y)),u)*.
% 299.85/300.45  239531[5:Res:5606.1,158.0] ||  -> equal(intersection(intersection(omega,u),v),identity_relation) equal(integer_of(regular(intersection(intersection(omega,u),v))),regular(intersection(intersection(omega,u),v)))**.
% 299.85/300.45  239525[5:Res:5606.1,944.0] ||  -> equal(intersection(intersection(symmetric_difference(u,v),w),x),identity_relation) member(regular(intersection(intersection(symmetric_difference(u,v),w),x)),union(u,v))*.
% 299.85/300.45  240361[5:Res:5604.2,776.0] || subclass(u,cantor(v))* subclass(domain_of(v),w)* -> equal(intersection(u,x),identity_relation) member(regular(intersection(u,x)),w)*.
% 299.85/300.45  240352[5:Res:5604.2,8157.0] || subclass(u,symmetric_difference(complement(v),complement(w))) -> equal(intersection(u,x),identity_relation) member(regular(intersection(u,x)),union(v,w))*.
% 299.85/300.45  240422[5:Rew:941.0,240291.1] || subclass(union(u,v),w) -> equal(symmetric_difference(complement(u),complement(v)),identity_relation) member(regular(symmetric_difference(complement(u),complement(v))),w)*.
% 299.85/300.45  240954[5:Res:5579.2,776.0] || subclass(u,cantor(v))* subclass(domain_of(v),w)* -> equal(intersection(x,u),identity_relation) member(regular(intersection(x,u)),w)*.
% 299.85/300.45  240945[5:Res:5579.2,8157.0] || subclass(u,symmetric_difference(complement(v),complement(w))) -> equal(intersection(x,u),identity_relation) member(regular(intersection(x,u)),union(v,w))*.
% 299.85/300.45  241529[5:Res:120735.0,5316.0] || subclass(image(universal_class,u),v) -> equal(cantor(inverse(cross_product(u,universal_class))),identity_relation) member(regular(cantor(inverse(cross_product(u,universal_class)))),v)*.
% 299.85/300.45  241493[5:Res:47693.0,5316.0] || subclass(intersection(complement(u),complement(v)),w) -> equal(complement(union(u,v)),identity_relation) member(regular(complement(union(u,v))),w)*.
% 299.85/300.45  241483[5:Res:146067.0,5316.0] || subclass(complement(cantor(u)),v) -> equal(symmetric_difference(domain_of(u),cantor(u)),identity_relation) member(regular(symmetric_difference(domain_of(u),cantor(u))),v)*.
% 299.85/300.45  241480[15:Res:191817.0,5316.0] || subclass(successor(range_of(identity_relation)),u) -> equal(symmetric_difference(complement(range_of(identity_relation)),universal_class),identity_relation) member(regular(symmetric_difference(complement(range_of(identity_relation)),universal_class)),u)*.
% 299.85/300.45  241745[5:SpR:146076.0,8335.1] ||  -> subclass(symmetric_difference(range_of(u),cantor(inverse(u))),v) member(not_subclass_element(symmetric_difference(range_of(u),cantor(inverse(u))),v),complement(cantor(inverse(u))))*.
% 299.85/300.45  242172[5:Rew:242089.0,242165.1] || member(ordered_pair(u,not_subclass_element(v,range_of(identity_relation))),compose(complement(cross_product(image(w,singleton(u)),universal_class)),w))* -> subclass(v,range_of(identity_relation)).
% 299.85/300.45  242413[17:Res:195177.2,756.0] || member(u,universal_class) subclass(domain_relation,cantor(restrict(v,w,singleton(x)))) -> member(ordered_pair(u,identity_relation),segment(v,w,x))*.
% 299.85/300.45  242397[0:Res:3.1,756.0] ||  -> subclass(cantor(restrict(u,v,singleton(w))),x) member(not_subclass_element(cantor(restrict(u,v,singleton(w))),x),segment(u,v,w))*.
% 299.85/300.45  243869[21:Rew:22454.0,243868.1] inductive(intersection(u,inverse(subset_relation))) || well_ordering(v,universal_class) -> member(least(v,intersection(u,inverse(identity_relation))),intersection(u,inverse(identity_relation)))*.
% 299.85/300.45  243872[21:Rew:22454.0,243871.1] inductive(intersection(inverse(subset_relation),u)) || well_ordering(v,universal_class) -> member(least(v,intersection(inverse(identity_relation),u)),intersection(inverse(identity_relation),u))*.
% 299.85/300.45  243887[21:Rew:22454.0,243886.3,22454.0,243886.1] || member(u,inverse(identity_relation)) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(u,least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  243891[21:Rew:118446.0,243104.0,22454.0,243104.0] ||  -> equal(symmetric_difference(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))),union(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))**.
% 299.85/300.45  243892[21:Rew:118446.0,243105.0,22454.0,243105.0] ||  -> equal(symmetric_difference(complement(compose(complement(element_relation),inverse(element_relation))),cross_product(universal_class,universal_class)),union(complement(compose(complement(element_relation),inverse(element_relation))),cross_product(universal_class,universal_class)))**.
% 299.85/300.45  244628[21:Res:3.1,243787.1] || member(not_subclass_element(complement(compose(complement(element_relation),inverse(element_relation))),u),cross_product(universal_class,universal_class))* -> subclass(complement(compose(complement(element_relation),inverse(element_relation))),u).
% 299.85/300.45  245339[20:Res:244951.0,5259.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(segment(u,singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),least(u,singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)))),identity_relation)**.
% 299.85/300.45  245888[5:SpL:27.0,7551.0] || subclass(omega,image(element_relation,union(u,v))) member(w,power_class(intersection(complement(u),complement(v))))* -> equal(integer_of(w),identity_relation).
% 299.85/300.45  247278[0:SpL:21037.0,8165.1] || member(u,symmetric_difference(successor(v),union(complement(v),complement(singleton(v)))))* member(u,symmetric_difference(complement(v),complement(singleton(v)))) -> .
% 299.85/300.45  247203[0:SpR:21037.0,943.1] || member(u,symmetric_difference(successor(v),union(complement(v),complement(singleton(v)))))* -> member(u,complement(symmetric_difference(complement(v),complement(singleton(v))))).
% 299.85/300.45  247886[5:Res:117277.0,20349.2] || member(u,universal_class) subclass(rest_relation,complement(inverse(singleton(ordered_pair(u,rest_of(u))))))* -> asymmetric(singleton(ordered_pair(u,rest_of(u))),v)*.
% 299.85/300.45  247872[0:Res:943.1,20349.2] || member(ordered_pair(u,rest_of(u)),symmetric_difference(v,w))* member(u,universal_class) subclass(rest_relation,complement(complement(intersection(v,w)))) -> .
% 299.85/300.45  248363[5:SpL:20365.2,5318.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) subclass(w,rest_of(u))* -> equal(w,identity_relation) member(regular(w),v)*.
% 299.85/300.45  248350[5:SpL:20365.2,5550.0] || member(u,universal_class) subclass(rest_relation,rest_of(v))* subclass(omega,rest_of(u))* -> equal(integer_of(w),identity_relation) member(w,v)*.
% 299.85/300.45  248568[0:SpL:21036.0,8165.1] || member(u,symmetric_difference(symmetrization_of(v),union(complement(v),complement(inverse(v)))))* member(u,symmetric_difference(complement(v),complement(inverse(v)))) -> .
% 299.85/300.45  248505[0:SpR:21036.0,943.1] || member(u,symmetric_difference(symmetrization_of(v),union(complement(v),complement(inverse(v)))))* -> member(u,complement(symmetric_difference(complement(v),complement(inverse(v))))).
% 299.85/300.45  248850[5:Obv:248838.2] || subclass(omega,u) member(v,intersection(w,singleton(u)))* -> equal(integer_of(v),identity_relation) equal(intersection(w,singleton(u)),identity_relation).
% 299.85/300.45  248851[5:Obv:248837.2] || subclass(omega,u) member(v,intersection(singleton(u),w))* -> equal(integer_of(v),identity_relation) equal(intersection(singleton(u),w),identity_relation).
% 299.85/300.45  248941[9:Res:207784.0,120713.0] ||  -> member(regular(complement(symmetrization_of(identity_relation))),image(universal_class,singleton(regular(complement(symmetrization_of(identity_relation))))))* asymmetric(cross_product(singleton(regular(complement(symmetrization_of(identity_relation)))),universal_class),u)*.
% 299.85/300.45  248938[10:Res:208126.0,120713.0] ||  -> member(regular(complement(power_class(universal_class))),image(universal_class,singleton(regular(complement(power_class(universal_class))))))* asymmetric(cross_product(singleton(regular(complement(power_class(universal_class)))),universal_class),u)*.
% 299.85/300.45  248936[11:Res:207942.0,120713.0] ||  -> member(regular(complement(power_class(identity_relation))),image(universal_class,singleton(regular(complement(power_class(identity_relation))))))* asymmetric(cross_product(singleton(regular(complement(power_class(identity_relation)))),universal_class),u)*.
% 299.85/300.45  248884[5:Res:7512.1,120713.0] function(u) ||  -> member(apply(u,v),image(universal_class,singleton(apply(u,v))))* asymmetric(cross_product(singleton(apply(u,v)),universal_class),w)*.
% 299.85/300.45  248880[5:Res:29531.1,120713.0] ||  -> subclass(u,v) member(not_subclass_element(u,v),image(universal_class,singleton(not_subclass_element(u,v))))* asymmetric(cross_product(singleton(not_subclass_element(u,v)),universal_class),w)*.
% 299.85/300.45  249238[0:Rew:249197.0,27904.1] || member(u,universal_class) -> member(u,intersection(complement(v),power_class(complement(power_class(w)))))* member(u,union(v,image(element_relation,power_class(w)))).
% 299.85/300.45  249413[0:Rew:249197.0,27916.1] || member(u,universal_class) -> member(u,intersection(power_class(complement(power_class(v))),complement(w)))* member(u,union(image(element_relation,power_class(v)),w)).
% 299.85/300.45  249444[0:Rew:249197.0,234072.1] || member(u,universal_class) subclass(rest_relation,power_class(complement(power_class(v)))) member(ordered_pair(u,rest_of(u)),image(element_relation,power_class(v)))* -> .
% 299.85/300.45  249785[0:Rew:249197.0,50224.0] ||  -> equal(power_class(intersection(power_class(complement(power_class(u))),complement(inverse(image(element_relation,power_class(u)))))),complement(image(element_relation,symmetrization_of(image(element_relation,power_class(u))))))**.
% 299.85/300.45  249787[0:Rew:249197.0,50135.0] ||  -> equal(power_class(intersection(power_class(complement(power_class(u))),complement(singleton(image(element_relation,power_class(u)))))),complement(image(element_relation,successor(image(element_relation,power_class(u))))))**.
% 299.85/300.45  251033[5:Rew:249197.0,249437.1] || member(regular(intersection(u,power_class(complement(power_class(v))))),image(element_relation,power_class(v)))* -> equal(intersection(u,power_class(complement(power_class(v)))),identity_relation).
% 299.85/300.45  251039[0:Rew:249197.0,249505.0] || subclass(universal_class,intersection(complement(u),symmetrization_of(complement(power_class(v))))) member(omega,complement(intersection(complement(u),symmetrization_of(complement(power_class(v))))))* -> .
% 299.85/300.45  251040[0:Rew:249197.0,249506.1] ||  -> member(not_subclass_element(u,symmetrization_of(complement(power_class(v)))),intersection(power_class(v),complement(inverse(complement(power_class(v))))))* subclass(u,symmetrization_of(complement(power_class(v)))).
% 299.85/300.45  251041[0:Rew:249197.0,249521.0] || subclass(universal_class,intersection(complement(u),successor(complement(power_class(v))))) member(omega,complement(intersection(complement(u),successor(complement(power_class(v))))))* -> .
% 299.85/300.45  251042[0:Rew:249197.0,249522.1] ||  -> member(not_subclass_element(u,successor(complement(power_class(v)))),intersection(power_class(v),complement(singleton(complement(power_class(v))))))* subclass(u,successor(complement(power_class(v)))).
% 299.85/300.45  251047[5:Rew:249197.0,249780.1] || subclass(omega,image(element_relation,power_class(u))) -> equal(integer_of(regular(power_class(complement(power_class(u))))),identity_relation)** equal(power_class(complement(power_class(u))),identity_relation).
% 299.85/300.45  251048[5:Rew:249197.0,249823.1] || member(regular(intersection(power_class(complement(power_class(u))),v)),image(element_relation,power_class(u)))* -> equal(intersection(power_class(complement(power_class(u))),v),identity_relation).
% 299.85/300.45  251054[0:Rew:249197.0,250026.0] || subclass(universal_class,intersection(symmetrization_of(complement(power_class(u))),complement(v))) member(omega,complement(intersection(symmetrization_of(complement(power_class(u))),complement(v))))* -> .
% 299.85/300.45  251057[0:Rew:249197.0,250151.0] || subclass(universal_class,intersection(successor(complement(power_class(u))),complement(v))) member(omega,complement(intersection(successor(complement(power_class(u))),complement(v))))* -> .
% 299.85/300.45  251059[3:Rew:249197.0,250200.1] inductive(image(element_relation,complement(u))) || well_ordering(v,complement(power_class(u))) member(least(v,complement(power_class(u))),power_class(u))* -> .
% 299.85/300.45  251080[5:Rew:249197.0,249963.0] || member(regular(symmetrization_of(complement(power_class(u)))),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> equal(symmetrization_of(complement(power_class(u))),identity_relation).
% 299.85/300.45  251082[5:Rew:249197.0,250090.0] || member(regular(successor(complement(power_class(u)))),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> equal(successor(complement(power_class(u))),identity_relation).
% 299.85/300.45  252849[0:SpL:249200.0,588.0] || member(u,intersection(complement(v),union(w,complement(power_class(x)))))* member(u,union(v,intersection(complement(w),power_class(x)))) -> .
% 299.85/300.45  252837[0:SpL:249200.0,588.0] || member(u,intersection(union(v,complement(power_class(w))),complement(x)))* member(u,union(intersection(complement(v),power_class(w)),x)) -> .
% 299.85/300.45  252836[0:SpL:249200.0,149331.0] || subclass(universal_class,intersection(complement(u),union(v,complement(power_class(w)))))* member(omega,union(u,intersection(complement(v),power_class(w)))) -> .
% 299.85/300.45  252790[0:SpL:249200.0,149331.0] || subclass(universal_class,intersection(union(u,complement(power_class(v))),complement(w)))* member(omega,union(intersection(complement(u),power_class(v)),w)) -> .
% 299.85/300.45  252678[0:SpR:249200.0,146221.1] || subclass(intersection(complement(u),power_class(v)),w) -> subclass(symmetric_difference(w,intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))*.
% 299.85/300.45  252677[5:SpR:249200.0,164613.0] ||  -> subclass(symmetric_difference(union(u,complement(power_class(v))),symmetric_difference(universal_class,intersection(complement(u),power_class(v)))),union(intersection(complement(u),power_class(v)),identity_relation))*.
% 299.85/300.45  252667[5:SpR:249200.0,146648.0] ||  -> equal(intersection(union(u,complement(power_class(v))),symmetric_difference(universal_class,intersection(complement(u),power_class(v)))),symmetric_difference(universal_class,intersection(complement(u),power_class(v))))**.
% 299.85/300.45  252665[0:SpR:249200.0,86316.0] ||  -> subclass(complement(symmetrization_of(intersection(complement(u),power_class(v)))),intersection(union(u,complement(power_class(v))),complement(inverse(intersection(complement(u),power_class(v))))))*.
% 299.85/300.45  252663[0:SpR:249200.0,86317.0] ||  -> subclass(complement(successor(intersection(complement(u),power_class(v)))),intersection(union(u,complement(power_class(v))),complement(singleton(intersection(complement(u),power_class(v))))))*.
% 299.85/300.45  252920[0:Rew:249200.0,252791.1] || member(not_subclass_element(union(u,complement(power_class(v))),w),intersection(complement(u),power_class(v)))* -> subclass(union(u,complement(power_class(v))),w).
% 299.85/300.45  252921[5:Rew:249200.0,252647.1] ||  -> member(regular(complement(union(u,complement(power_class(v))))),intersection(complement(u),power_class(v)))* equal(complement(union(u,complement(power_class(v)))),identity_relation).
% 299.85/300.45  253183[0:SpL:249208.0,588.0] || member(u,intersection(complement(v),union(complement(power_class(w)),x)))* member(u,union(v,intersection(power_class(w),complement(x)))) -> .
% 299.85/300.45  253170[0:SpL:249208.0,588.0] || member(u,intersection(union(complement(power_class(v)),w),complement(x)))* member(u,union(intersection(power_class(v),complement(w)),x)) -> .
% 299.85/300.45  253169[0:SpL:249208.0,149331.0] || subclass(universal_class,intersection(complement(u),union(complement(power_class(v)),w)))* member(omega,union(u,intersection(power_class(v),complement(w)))) -> .
% 299.85/300.45  253123[0:SpL:249208.0,149331.0] || subclass(universal_class,intersection(union(complement(power_class(u)),v),complement(w)))* member(omega,union(intersection(power_class(u),complement(v)),w)) -> .
% 299.85/300.45  253008[0:SpR:249208.0,146221.1] || subclass(intersection(power_class(u),complement(v)),w) -> subclass(symmetric_difference(w,intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))*.
% 299.85/300.45  253007[5:SpR:249208.0,164613.0] ||  -> subclass(symmetric_difference(union(complement(power_class(u)),v),symmetric_difference(universal_class,intersection(power_class(u),complement(v)))),union(intersection(power_class(u),complement(v)),identity_relation))*.
% 299.85/300.45  252997[5:SpR:249208.0,146648.0] ||  -> equal(intersection(union(complement(power_class(u)),v),symmetric_difference(universal_class,intersection(power_class(u),complement(v)))),symmetric_difference(universal_class,intersection(power_class(u),complement(v))))**.
% 299.85/300.45  252995[0:SpR:249208.0,86316.0] ||  -> subclass(complement(symmetrization_of(intersection(power_class(u),complement(v)))),intersection(union(complement(power_class(u)),v),complement(inverse(intersection(power_class(u),complement(v))))))*.
% 299.85/300.45  252993[0:SpR:249208.0,86317.0] ||  -> subclass(complement(successor(intersection(power_class(u),complement(v)))),intersection(union(complement(power_class(u)),v),complement(singleton(intersection(power_class(u),complement(v))))))*.
% 299.85/300.45  253252[0:Rew:249208.0,253124.1] || member(not_subclass_element(union(complement(power_class(u)),v),w),intersection(power_class(u),complement(v)))* -> subclass(union(complement(power_class(u)),v),w).
% 299.85/300.45  253253[5:Rew:249208.0,252977.1] ||  -> member(regular(complement(union(complement(power_class(u)),v))),intersection(power_class(u),complement(v)))* equal(complement(union(complement(power_class(u)),v)),identity_relation).
% 299.85/300.45  253451[5:Res:5295.1,249201.0] || member(regular(intersection(u,image(element_relation,power_class(v)))),power_class(complement(power_class(v))))* -> equal(intersection(u,image(element_relation,power_class(v))),identity_relation).
% 299.85/300.45  253445[0:Res:780.2,249201.0] || member(u,universal_class) subclass(rest_relation,image(element_relation,power_class(v))) member(ordered_pair(u,rest_of(u)),power_class(complement(power_class(v))))* -> .
% 299.85/300.45  253434[5:Res:5294.1,249201.0] || member(regular(intersection(image(element_relation,power_class(u)),v)),power_class(complement(power_class(u))))* -> equal(intersection(image(element_relation,power_class(u)),v),identity_relation).
% 299.85/300.45  253545[5:SpR:253274.0,558.1] || member(restrict(element_relation,universal_class,complement(power_class(universal_class))),universal_class) -> member(ordered_pair(restrict(element_relation,universal_class,complement(power_class(universal_class))),apply(element_relation,universal_class)),domain_relation)*.
% 299.85/300.45  253581[5:Rew:253274.0,253563.2] || member(complement(power_class(universal_class)),universal_class) subclass(complement(power_class(universal_class)),apply(element_relation,universal_class))* -> equal(apply(element_relation,universal_class),complement(power_class(universal_class))).
% 299.85/300.45  254094[7:SpR:251758.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),image(element_relation,singleton(identity_relation))))* member(u,union(v,power_class(complement(singleton(identity_relation))))).
% 299.85/300.45  254087[7:SpR:251758.0,689.1] || member(u,universal_class) -> member(u,intersection(image(element_relation,singleton(identity_relation)),complement(v)))* member(u,union(power_class(complement(singleton(identity_relation))),v)).
% 299.85/300.45  254050[7:SpR:251758.0,8659.0] ||  -> equal(power_class(intersection(image(element_relation,singleton(identity_relation)),complement(inverse(power_class(complement(singleton(identity_relation))))))),complement(image(element_relation,symmetrization_of(power_class(complement(singleton(identity_relation)))))))**.
% 299.85/300.45  254048[7:SpR:251758.0,8660.0] ||  -> equal(power_class(intersection(image(element_relation,singleton(identity_relation)),complement(singleton(power_class(complement(singleton(identity_relation))))))),complement(image(element_relation,successor(power_class(complement(singleton(identity_relation)))))))**.
% 299.85/300.45  254272[7:Rew:251758.0,254198.1] || member(regular(intersection(u,image(element_relation,singleton(identity_relation)))),power_class(complement(singleton(identity_relation))))* -> equal(intersection(u,image(element_relation,singleton(identity_relation))),identity_relation).
% 299.85/300.45  254273[7:Rew:251758.0,254188.1] || member(regular(intersection(image(element_relation,singleton(identity_relation)),u)),power_class(complement(singleton(identity_relation))))* -> equal(intersection(image(element_relation,singleton(identity_relation)),u),identity_relation).
% 299.85/300.45  254274[7:Rew:251758.0,254057.2] || subclass(omega,power_class(complement(singleton(identity_relation)))) -> equal(integer_of(regular(image(element_relation,singleton(identity_relation)))),identity_relation)** equal(image(element_relation,singleton(identity_relation)),identity_relation).
% 299.85/300.45  254351[5:SpR:251759.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),image(element_relation,symmetrization_of(identity_relation))))* member(u,union(v,power_class(complement(inverse(identity_relation))))).
% 299.85/300.45  254344[5:SpR:251759.0,689.1] || member(u,universal_class) -> member(u,intersection(image(element_relation,symmetrization_of(identity_relation)),complement(v)))* member(u,union(power_class(complement(inverse(identity_relation))),v)).
% 299.85/300.45  254307[5:SpR:251759.0,8659.0] ||  -> equal(power_class(intersection(image(element_relation,symmetrization_of(identity_relation)),complement(inverse(power_class(complement(inverse(identity_relation))))))),complement(image(element_relation,symmetrization_of(power_class(complement(inverse(identity_relation)))))))**.
% 299.85/300.45  254305[5:SpR:251759.0,8660.0] ||  -> equal(power_class(intersection(image(element_relation,symmetrization_of(identity_relation)),complement(singleton(power_class(complement(inverse(identity_relation))))))),complement(image(element_relation,successor(power_class(complement(inverse(identity_relation)))))))**.
% 299.85/300.45  254528[5:Rew:251759.0,254454.1] || member(regular(intersection(u,image(element_relation,symmetrization_of(identity_relation)))),power_class(complement(inverse(identity_relation))))* -> equal(intersection(u,image(element_relation,symmetrization_of(identity_relation))),identity_relation).
% 299.85/300.45  254529[5:Rew:251759.0,254444.1] || member(regular(intersection(image(element_relation,symmetrization_of(identity_relation)),u)),power_class(complement(inverse(identity_relation))))* -> equal(intersection(image(element_relation,symmetrization_of(identity_relation)),u),identity_relation).
% 299.85/300.45  254530[5:Rew:251759.0,254314.2] || subclass(omega,power_class(complement(inverse(identity_relation)))) -> equal(integer_of(regular(image(element_relation,symmetrization_of(identity_relation)))),identity_relation)** equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation).
% 299.85/300.45  254708[0:Res:249285.1,3924.0] || member(u,universal_class) subclass(image(element_relation,power_class(v)),w)* well_ordering(universal_class,w) -> member(u,power_class(complement(power_class(v))))*.
% 299.85/300.45  254765[0:MRR:254736.0,29531.1] ||  -> member(not_subclass_element(u,intersection(image(element_relation,power_class(v)),u)),power_class(complement(power_class(v))))* subclass(u,intersection(image(element_relation,power_class(v)),u)).
% 299.85/300.45  255117[0:Rew:27.0,255081.0] || subclass(universal_class,intersection(union(u,v),complement(w))) member(unordered_pair(x,y),complement(intersection(union(u,v),complement(w))))* -> .
% 299.85/300.45  255118[0:Rew:27.0,255070.0] || subclass(universal_class,intersection(complement(u),union(v,w))) member(unordered_pair(x,y),complement(intersection(complement(u),union(v,w))))* -> .
% 299.85/300.45  255318[0:Res:66.2,7570.0] function(u) || member(v,universal_class) subclass(universal_class,w)* subclass(w,x)* -> member(power_class(image(u,v)),x)*.
% 299.85/300.45  255406[5:MRR:255359.1,5.0] || member(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> equal(u,identity_relation) member(power_class(apply(choice,u)),w)*.
% 299.85/300.45  255716[5:Res:24.2,5336.0] || member(regular(union(u,v)),complement(v))* member(regular(union(u,v)),complement(u))* -> equal(union(u,v),identity_relation).
% 299.85/300.45  256136[5:Res:29474.1,8097.1] || member(regular(u),range_of(v)) subclass(u,regular(cantor(inverse(v))))* -> equal(u,identity_relation) equal(cantor(inverse(v)),identity_relation).
% 299.85/300.45  256229[5:Obv:256168.2] || subclass(u,symmetric_difference(v,w)) subclass(u,regular(union(v,w)))* -> equal(u,identity_relation) equal(union(v,w),identity_relation).
% 299.85/300.45  256245[5:MRR:256132.0,29542.1] || subclass(u,regular(domain_of(v)))* -> equal(apply(v,regular(u)),sum_class(range_of(identity_relation))) equal(u,identity_relation) equal(domain_of(v),identity_relation).
% 299.85/300.45  256248[5:Obv:256106.2] || subclass(intersection(u,singleton(v)),regular(w))* member(v,w) -> equal(intersection(u,singleton(v)),identity_relation) equal(w,identity_relation).
% 299.85/300.45  256249[5:Obv:256105.2] || subclass(intersection(singleton(u),v),regular(w))* member(u,w) -> equal(intersection(singleton(u),v),identity_relation) equal(w,identity_relation).
% 299.85/300.45  256536[0:Res:66.2,7605.0] function(u) || member(v,universal_class) subclass(universal_class,w)* subclass(w,x)* -> member(sum_class(image(u,v)),x)*.
% 299.85/300.45  256631[5:MRR:256577.1,5.0] || member(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> equal(u,identity_relation) member(sum_class(apply(choice,u)),w)*.
% 299.85/300.45  256718[5:SpL:200704.1,7594.0] || equal(u,universal_class) member(image(v,identity_relation),universal_class) subclass(universal_class,w) -> inductive(u) member(apply(v,u),w)*.
% 299.85/300.45  256877[0:Res:783.1,251410.0] || subclass(ordered_pair(u,v),intersection(power_class(w),complement(x))) member(unordered_pair(u,singleton(v)),union(complement(power_class(w)),x))* -> .
% 299.85/300.45  256868[0:Res:765.2,251410.0] || member(u,universal_class) subclass(universal_class,intersection(power_class(v),complement(w))) member(sum_class(u),union(complement(power_class(v)),w))* -> .
% 299.85/300.45  256865[0:Res:764.2,251410.0] || member(u,universal_class) subclass(universal_class,intersection(power_class(v),complement(w))) member(power_class(u),union(complement(power_class(v)),w))* -> .
% 299.85/300.45  256862[0:Res:766.2,251410.0] || subclass(u,intersection(power_class(v),complement(w))) member(not_subclass_element(u,x),union(complement(power_class(v)),w))* -> subclass(u,x).
% 299.85/300.45  256859[17:Res:195388.1,251410.0] || subclass(domain_relation,flip(intersection(power_class(u),complement(v)))) member(ordered_pair(ordered_pair(w,x),identity_relation),union(complement(power_class(u)),v))* -> .
% 299.85/300.45  256855[17:Res:195387.1,251410.0] || subclass(domain_relation,rotate(intersection(power_class(u),complement(v)))) member(ordered_pair(ordered_pair(w,identity_relation),x),union(complement(power_class(u)),v))* -> .
% 299.85/300.45  256844[0:Res:3.1,251410.0] || member(not_subclass_element(intersection(power_class(u),complement(v)),w),union(complement(power_class(u)),v))* -> subclass(intersection(power_class(u),complement(v)),w).
% 299.85/300.45  257069[0:Res:783.1,251419.0] || subclass(ordered_pair(u,v),intersection(complement(w),power_class(x))) member(unordered_pair(u,singleton(v)),union(w,complement(power_class(x))))* -> .
% 299.85/300.45  257060[0:Res:765.2,251419.0] || member(u,universal_class) subclass(universal_class,intersection(complement(v),power_class(w))) member(sum_class(u),union(v,complement(power_class(w))))* -> .
% 299.85/300.45  257057[0:Res:764.2,251419.0] || member(u,universal_class) subclass(universal_class,intersection(complement(v),power_class(w))) member(power_class(u),union(v,complement(power_class(w))))* -> .
% 299.85/300.45  257054[0:Res:766.2,251419.0] || subclass(u,intersection(complement(v),power_class(w))) member(not_subclass_element(u,x),union(v,complement(power_class(w))))* -> subclass(u,x).
% 299.85/300.45  257051[17:Res:195388.1,251419.0] || subclass(domain_relation,flip(intersection(complement(u),power_class(v)))) member(ordered_pair(ordered_pair(w,x),identity_relation),union(u,complement(power_class(v))))* -> .
% 299.85/300.45  257047[17:Res:195387.1,251419.0] || subclass(domain_relation,rotate(intersection(complement(u),power_class(v)))) member(ordered_pair(ordered_pair(w,identity_relation),x),union(u,complement(power_class(v))))* -> .
% 299.85/300.45  257036[0:Res:3.1,251419.0] || member(not_subclass_element(intersection(complement(u),power_class(v)),w),union(u,complement(power_class(v))))* -> subclass(intersection(complement(u),power_class(v)),w).
% 299.85/300.45  257237[5:Res:5311.2,20569.2] || subclass(u,symmetric_difference(v,w))* member(regular(u),complement(w))* member(regular(u),complement(v))* -> equal(u,identity_relation).
% 299.85/300.45  257236[5:Res:5586.1,20569.2] || member(regular(symmetric_difference(u,v)),complement(v))* member(regular(symmetric_difference(u,v)),complement(u))* -> equal(symmetric_difference(u,v),identity_relation).
% 299.85/300.45  257233[20:Res:212352.1,20569.2] || subclass(inverse(identity_relation),union(u,v))* member(regular(symmetrization_of(identity_relation)),complement(v))* member(regular(symmetrization_of(identity_relation)),complement(u))* -> .
% 299.85/300.45  257232[20:Res:214397.1,20569.2] || subclass(symmetrization_of(identity_relation),union(u,v))* member(regular(symmetrization_of(identity_relation)),complement(v))* member(regular(symmetrization_of(identity_relation)),complement(u))* -> .
% 299.85/300.45  257220[0:Res:122840.1,20569.2] || well_ordering(universal_class,complement(union(u,v)))* member(singleton(singleton(w)),complement(v))* member(singleton(singleton(w)),complement(u))* -> .
% 299.85/300.45  257215[5:Res:5214.2,20569.2] || subclass(u,union(v,w))* member(regular(u),complement(w))* member(regular(u),complement(v))* -> equal(u,identity_relation).
% 299.85/300.45  257287[0:Rew:27.0,257172.1] || member(u,complement(v)) member(u,union(w,x)) member(u,complement(intersection(union(w,x),complement(v))))* -> .
% 299.85/300.45  257288[0:Rew:27.0,257161.0] || member(u,union(v,w)) member(u,complement(x)) member(u,complement(intersection(complement(x),union(v,w))))* -> .
% 299.85/300.45  257510[5:SpL:47789.0,8994.0] || equal(u,regular(ordered_pair(v,w)))* member(v,universal_class) -> equal(regular(ordered_pair(v,w)),singleton(v))** member(v,u)*.
% 299.85/300.45  257501[5:SpL:47789.0,9.0] || member(u,regular(ordered_pair(v,w)))* -> equal(regular(ordered_pair(v,w)),singleton(v)) equal(u,singleton(w)) equal(u,v).
% 299.85/300.45  257486[5:SpL:47789.0,27154.0] || equal(complement(regular(ordered_pair(ordered_pair(identity_relation,identity_relation),u))),domain_relation)** -> equal(regular(ordered_pair(ordered_pair(identity_relation,identity_relation),u)),singleton(ordered_pair(identity_relation,identity_relation))).
% 299.85/300.45  257485[5:SpL:47789.0,27131.0] || subclass(domain_relation,complement(regular(ordered_pair(ordered_pair(identity_relation,identity_relation),u))))* -> equal(regular(ordered_pair(ordered_pair(identity_relation,identity_relation),u)),singleton(ordered_pair(identity_relation,identity_relation))).
% 299.85/300.45  257455[5:SpL:47789.0,771.1] || member(u,universal_class) subclass(regular(ordered_pair(u,v)),w)* -> equal(regular(ordered_pair(u,v)),singleton(u)) member(u,w).
% 299.85/300.45  257432[5:SpR:200704.1,47789.0] || equal(u,universal_class) -> inductive(u) equal(regular(ordered_pair(v,u)),unordered_pair(v,identity_relation))** equal(regular(ordered_pair(v,u)),singleton(v)).
% 299.85/300.45  257430[5:SpR:47789.0,5172.1] || subclass(universal_class,symmetric_difference(u,v)) -> equal(regular(ordered_pair(w,x)),singleton(w)) member(regular(ordered_pair(w,x)),union(u,v))*.
% 299.85/300.45  258066[5:Res:8059.2,610.0] || well_ordering(u,universal_class) -> equal(intersection(cantor(inverse(v)),w),identity_relation) member(least(u,intersection(cantor(inverse(v)),w)),range_of(v))*.
% 299.85/300.45  258062[5:Res:8059.2,158.0] || well_ordering(u,universal_class) -> equal(intersection(omega,v),identity_relation) equal(integer_of(least(u,intersection(omega,v))),least(u,intersection(omega,v)))**.
% 299.85/300.45  258059[5:Res:8059.2,119626.0] || well_ordering(u,universal_class) -> equal(intersection(symmetric_difference(universal_class,v),w),identity_relation) member(least(u,intersection(symmetric_difference(universal_class,v),w)),complement(v))*.
% 299.85/300.45  258058[5:Res:8059.2,119659.0] || well_ordering(u,universal_class) member(least(u,intersection(symmetric_difference(universal_class,v),w)),v)* -> equal(intersection(symmetric_difference(universal_class,v),w),identity_relation).
% 299.85/300.45  258111[5:Rew:118446.0,258024.4,118446.0,258024.3] || well_ordering(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> equal(x,identity_relation) member(power_class(least(u,x)),w)*.
% 299.85/300.45  258112[5:Rew:118446.0,258023.4,118446.0,258023.3] || well_ordering(u,universal_class) subclass(universal_class,v)* subclass(v,w)* -> equal(x,identity_relation) member(sum_class(least(u,x)),w)*.
% 299.85/300.45  258260[5:Res:8060.2,610.0] || well_ordering(u,universal_class) -> equal(intersection(v,cantor(inverse(w))),identity_relation) member(least(u,intersection(v,cantor(inverse(w)))),range_of(w))*.
% 299.85/300.45  258256[5:Res:8060.2,158.0] || well_ordering(u,universal_class) -> equal(intersection(v,omega),identity_relation) equal(integer_of(least(u,intersection(v,omega))),least(u,intersection(v,omega)))**.
% 299.85/300.45  258253[5:Res:8060.2,119626.0] || well_ordering(u,universal_class) -> equal(intersection(v,symmetric_difference(universal_class,w)),identity_relation) member(least(u,intersection(v,symmetric_difference(universal_class,w))),complement(w))*.
% 299.85/300.45  258252[5:Res:8060.2,119659.0] || well_ordering(u,universal_class) member(least(u,intersection(v,symmetric_difference(universal_class,w))),w)* -> equal(intersection(v,symmetric_difference(universal_class,w)),identity_relation).
% 299.85/300.45  258386[5:Res:8057.3,5405.0] || well_ordering(u,universal_class) subclass(v,regular(w)) member(least(u,v),w)* -> equal(v,identity_relation) equal(w,identity_relation).
% 299.85/300.45  258382[5:Res:8057.3,595.0] || well_ordering(u,universal_class) subclass(v,restrict(w,x,y))* -> equal(v,identity_relation) member(least(u,v),cross_product(x,y))*.
% 299.85/300.45  258354[5:Res:8057.3,8165.1] || well_ordering(u,universal_class) subclass(v,intersection(w,x)) member(least(u,v),symmetric_difference(w,x))* -> equal(v,identity_relation).
% 299.85/300.45  258618[5:Res:230404.0,8164.1] || member(u,symmetric_difference(v,w)) -> equal(singleton(complement(intersection(v,w))),identity_relation) member(u,complement(singleton(complement(intersection(v,w)))))*.
% 299.85/300.45  258549[0:SpL:160.0,8164.1] || member(u,symmetric_difference(complement(intersection(v,w)),union(v,w)))* subclass(complement(symmetric_difference(v,w)),x)* -> member(u,x)*.
% 299.85/300.45  258792[5:MRR:258791.2,257464.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(regular(regular(ordered_pair(u,v))),singleton(v)) member(u,regular(ordered_pair(u,v)))*.
% 299.85/300.45  259128[5:Res:256424.0,8150.0] ||  -> equal(singleton(complement(symmetric_difference(cross_product(u,v),w))),identity_relation) member(complement(symmetric_difference(cross_product(u,v),w)),complement(restrict(w,u,v)))*.
% 299.85/300.45  259124[5:Res:256424.0,8147.0] ||  -> equal(singleton(complement(symmetric_difference(u,cross_product(v,w)))),identity_relation) member(complement(symmetric_difference(u,cross_product(v,w))),complement(restrict(u,v,w)))*.
% 299.85/300.45  259173[5:Rew:579.0,259081.1] ||  -> member(power_class(intersection(complement(u),complement(v))),image(element_relation,union(u,v)))* equal(singleton(power_class(intersection(complement(u),complement(v)))),identity_relation).
% 299.85/300.45  259185[7:Res:259157.0,5490.0] || subclass(complement(singleton(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(singleton(identity_relation),least(omega,complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.45  259366[0:Res:30856.1,111279.0] || member(singleton(singleton(u)),union(v,w)) well_ordering(universal_class,intersection(v,w)) -> member(singleton(singleton(u)),symmetric_difference(v,w))*.
% 299.85/300.45  259356[5:Res:30856.1,256316.0] || member(intersection(u,v),union(u,v)) -> member(intersection(u,v),symmetric_difference(u,v))* equal(singleton(intersection(u,v)),identity_relation).
% 299.85/300.45  259344[0:Res:30856.1,3924.0] || member(u,union(v,w)) subclass(intersection(v,w),x)* well_ordering(universal_class,x) -> member(u,symmetric_difference(v,w))*.
% 299.85/300.45  259279[0:SpR:30.0,30856.1] || member(u,union(cross_product(v,w),x)) -> member(u,restrict(x,v,w)) member(u,symmetric_difference(cross_product(v,w),x))*.
% 299.85/300.45  259267[0:SpR:29.0,30856.1] || member(u,union(v,cross_product(w,x))) -> member(u,restrict(v,w,x)) member(u,symmetric_difference(v,cross_product(w,x)))*.
% 299.85/300.45  259566[0:Rew:14.0,259533.1] || equal(unordered_pair(u,singleton(v)),singleton(u)) -> subclass(ordered_pair(u,v),w) equal(not_subclass_element(ordered_pair(u,v),w),singleton(u))**.
% 299.85/300.45  259687[0:Obv:259664.2] || member(u,intersection(v,unordered_pair(w,u))) member(w,v) -> subclass(unordered_pair(w,u),intersection(v,unordered_pair(w,u)))*.
% 299.85/300.45  259689[0:Rew:32866.1,259688.2] || member(u,intersection(v,w)) member(x,w) member(x,v) -> subclass(unordered_pair(x,u),intersection(v,w))*.
% 299.85/300.45  259798[0:Obv:259774.2] || member(u,intersection(v,unordered_pair(u,w))) member(w,v) -> subclass(unordered_pair(u,w),intersection(v,unordered_pair(u,w)))*.
% 299.85/300.45  259800[0:Rew:32865.1,259799.2] || member(u,intersection(v,w)) member(x,w) member(x,v) -> subclass(unordered_pair(u,x),intersection(v,w))*.
% 299.85/300.45  260115[5:Res:233486.0,8430.0] || subclass(segment(universal_class,u,universal_class),v) -> subclass(cantor(cross_product(u,identity_relation)),w) member(not_subclass_element(cantor(cross_product(u,identity_relation)),w),v)*.
% 299.85/300.45  260103[0:Res:45938.0,8430.0] || subclass(range_of(u),v) -> subclass(intersection(w,cantor(inverse(u))),x) member(not_subclass_element(intersection(w,cantor(inverse(u))),x),v)*.
% 299.85/300.45  260101[0:Res:45849.0,8430.0] || subclass(range_of(u),v) -> subclass(intersection(cantor(inverse(u)),w),x) member(not_subclass_element(intersection(cantor(inverse(u)),w),x),v)*.
% 299.85/300.45  260093[15:Res:191820.0,8430.0] || subclass(symmetric_difference(universal_class,range_of(identity_relation)),u) -> subclass(complement(successor(range_of(identity_relation))),v) member(not_subclass_element(complement(successor(range_of(identity_relation))),v),u)*.
% 299.85/300.45  260090[0:Res:86316.0,8430.0] || subclass(intersection(complement(u),complement(inverse(u))),v)* -> subclass(complement(symmetrization_of(u)),w) member(not_subclass_element(complement(symmetrization_of(u)),w),v)*.
% 299.85/300.45  260089[0:Res:86317.0,8430.0] || subclass(intersection(complement(u),complement(singleton(u))),v)* -> subclass(complement(successor(u)),w) member(not_subclass_element(complement(successor(u)),w),v)*.
% 299.85/300.45  260087[0:Res:47940.0,8430.0] || subclass(range_of(u),v) -> subclass(complement(complement(cantor(inverse(u)))),w) member(not_subclass_element(complement(complement(cantor(inverse(u)))),w),v)*.
% 299.85/300.45  260084[5:Res:22635.0,8430.0] || subclass(complement(cantor(inverse(u))),v) -> subclass(symmetric_difference(range_of(u),universal_class),w) member(not_subclass_element(symmetric_difference(range_of(u),universal_class),w),v)*.
% 299.85/300.45  260082[0:Res:146221.1,8430.0] || subclass(u,v) subclass(complement(u),w) -> subclass(symmetric_difference(v,u),x) member(not_subclass_element(symmetric_difference(v,u),x),w)*.
% 299.85/300.45  260341[5:Res:8213.2,5405.0] || subclass(u,regular(v)) member(not_subclass_element(intersection(w,u),x),v)* -> subclass(intersection(w,u),x) equal(v,identity_relation).
% 299.85/300.45  260337[0:Res:8213.2,595.0] || subclass(u,restrict(v,w,x))* -> subclass(intersection(y,u),z) member(not_subclass_element(intersection(y,u),z),cross_product(w,x))*.
% 299.85/300.45  260325[0:Res:8213.2,158.0] || subclass(u,omega) -> subclass(intersection(v,u),w) equal(integer_of(not_subclass_element(intersection(v,u),w)),not_subclass_element(intersection(v,u),w))**.
% 299.85/300.45  260309[0:Res:8213.2,8165.1] || subclass(u,intersection(v,w)) member(not_subclass_element(intersection(x,u),y),symmetric_difference(v,w))* -> subclass(intersection(x,u),y).
% 299.85/300.45  260458[0:Obv:260351.2] || subclass(u,v) member(not_subclass_element(intersection(w,u),intersection(x,v)),x)* -> subclass(intersection(w,u),intersection(x,v)).
% 299.85/300.45  260553[4:Res:260367.1,3385.1] || subclass(u,sum_class(intersection(v,u)))* member(intersection(v,u),universal_class) -> equal(sum_class(intersection(v,u)),intersection(v,u)).
% 299.85/300.45  260904[0:Res:8216.1,610.0] ||  -> subclass(intersection(u,intersection(v,cantor(inverse(w)))),x) member(not_subclass_element(intersection(u,intersection(v,cantor(inverse(w)))),x),range_of(w))*.
% 299.85/300.45  260897[0:Res:8216.1,119626.0] ||  -> subclass(intersection(u,intersection(v,symmetric_difference(universal_class,w))),x) member(not_subclass_element(intersection(u,intersection(v,symmetric_difference(universal_class,w))),x),complement(w))*.
% 299.85/300.45  260896[0:Res:8216.1,119659.0] || member(not_subclass_element(intersection(u,intersection(v,symmetric_difference(universal_class,w))),x),w)* -> subclass(intersection(u,intersection(v,symmetric_difference(universal_class,w))),x).
% 299.85/300.45  261036[0:Obv:260917.1] || member(not_subclass_element(intersection(u,intersection(v,w)),intersection(x,w)),x)* -> subclass(intersection(u,intersection(v,w)),intersection(x,w)).
% 299.85/300.45  261283[5:Res:261060.0,5320.0] ||  -> equal(intersection(u,restrict(intersection(v,w),x,y)),identity_relation) member(regular(intersection(u,restrict(intersection(v,w),x,y))),w)*.
% 299.85/300.45  261282[5:Res:261060.0,5321.0] ||  -> equal(intersection(u,restrict(intersection(v,w),x,y)),identity_relation) member(regular(intersection(u,restrict(intersection(v,w),x,y))),v)*.
% 299.85/300.45  261271[5:Res:261060.0,5316.0] || subclass(u,v) -> equal(intersection(w,restrict(u,x,y)),identity_relation) member(regular(intersection(w,restrict(u,x,y))),v)*.
% 299.85/300.45  261474[0:Res:8215.1,610.0] ||  -> subclass(intersection(u,intersection(cantor(inverse(v)),w)),x) member(not_subclass_element(intersection(u,intersection(cantor(inverse(v)),w)),x),range_of(v))*.
% 299.85/300.45  261467[0:Res:8215.1,119626.0] ||  -> subclass(intersection(u,intersection(symmetric_difference(universal_class,v),w)),x) member(not_subclass_element(intersection(u,intersection(symmetric_difference(universal_class,v),w)),x),complement(v))*.
% 299.85/300.45  261466[0:Res:8215.1,119659.0] || member(not_subclass_element(intersection(u,intersection(symmetric_difference(universal_class,v),w)),x),v)* -> subclass(intersection(u,intersection(symmetric_difference(universal_class,v),w)),x).
% 299.85/300.45  261608[0:Obv:261487.1] || member(not_subclass_element(intersection(u,intersection(v,w)),intersection(x,v)),x)* -> subclass(intersection(u,intersection(v,w)),intersection(x,v)).
% 299.85/300.45  261985[5:Res:8307.2,5405.0] || subclass(u,regular(v)) member(not_subclass_element(intersection(u,w),x),v)* -> subclass(intersection(u,w),x) equal(v,identity_relation).
% 299.85/300.45  261981[0:Res:8307.2,595.0] || subclass(u,restrict(v,w,x))* -> subclass(intersection(u,y),z) member(not_subclass_element(intersection(u,y),z),cross_product(w,x))*.
% 299.85/300.45  261969[0:Res:8307.2,158.0] || subclass(u,omega) -> subclass(intersection(u,v),w) equal(integer_of(not_subclass_element(intersection(u,v),w)),not_subclass_element(intersection(u,v),w))**.
% 299.85/300.45  261953[0:Res:8307.2,8165.1] || subclass(u,intersection(v,w)) member(not_subclass_element(intersection(u,x),y),symmetric_difference(v,w))* -> subclass(intersection(u,x),y).
% 299.85/300.45  262104[0:Obv:261995.2] || subclass(u,v) member(not_subclass_element(intersection(u,w),intersection(x,v)),x)* -> subclass(intersection(u,w),intersection(x,v)).
% 299.85/300.45  262172[5:Res:261657.0,5318.0] ||  -> equal(intersection(u,complement(complement(restrict(v,w,x)))),identity_relation) member(regular(intersection(u,complement(complement(restrict(v,w,x))))),v)*.
% 299.85/300.45  262230[5:Res:261827.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,restrict(symmetrization_of(identity_relation),v,w),least(u,restrict(symmetrization_of(identity_relation),v,w))),identity_relation)**.
% 299.85/300.45  262225[5:Res:261827.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(restrict(symmetrization_of(identity_relation),v,w),x) member(not_subclass_element(restrict(symmetrization_of(identity_relation),v,w),x),u)*.
% 299.85/300.45  262378[0:Res:8310.1,610.0] ||  -> subclass(intersection(intersection(u,cantor(inverse(v))),w),x) member(not_subclass_element(intersection(intersection(u,cantor(inverse(v))),w),x),range_of(v))*.
% 299.85/300.45  262371[0:Res:8310.1,119626.0] ||  -> subclass(intersection(intersection(u,symmetric_difference(universal_class,v)),w),x) member(not_subclass_element(intersection(intersection(u,symmetric_difference(universal_class,v)),w),x),complement(v))*.
% 299.85/300.45  262370[0:Res:8310.1,119659.0] || member(not_subclass_element(intersection(intersection(u,symmetric_difference(universal_class,v)),w),x),v)* -> subclass(intersection(intersection(u,symmetric_difference(universal_class,v)),w),x).
% 299.85/300.45  262511[0:Obv:262391.1] || member(not_subclass_element(intersection(intersection(u,v),w),intersection(x,v)),x)* -> subclass(intersection(intersection(u,v),w),intersection(x,v)).
% 299.85/300.45  262818[5:Res:262607.0,5318.0] ||  -> equal(complement(complement(intersection(u,restrict(v,w,x)))),identity_relation) member(regular(complement(complement(intersection(u,restrict(v,w,x))))),v)*.
% 299.85/300.45  263069[0:Res:8309.1,610.0] ||  -> subclass(intersection(intersection(cantor(inverse(u)),v),w),x) member(not_subclass_element(intersection(intersection(cantor(inverse(u)),v),w),x),range_of(u))*.
% 299.85/300.45  263062[0:Res:8309.1,119626.0] ||  -> subclass(intersection(intersection(symmetric_difference(universal_class,u),v),w),x) member(not_subclass_element(intersection(intersection(symmetric_difference(universal_class,u),v),w),x),complement(u))*.
% 299.85/300.45  263061[0:Res:8309.1,119659.0] || member(not_subclass_element(intersection(intersection(symmetric_difference(universal_class,u),v),w),x),u)* -> subclass(intersection(intersection(symmetric_difference(universal_class,u),v),w),x).
% 299.85/300.45  263204[0:Obv:263082.1] || member(not_subclass_element(intersection(intersection(u,v),w),intersection(x,u)),x)* -> subclass(intersection(intersection(u,v),w),intersection(x,u)).
% 299.85/300.45  263586[0:Res:9102.1,79033.0] || section(cross_product(u,v),cantor(inverse(w)),x) -> subclass(domain_of(restrict(cross_product(x,cantor(inverse(w))),u,v)),range_of(w))*.
% 299.85/300.45  263763[5:Res:263405.0,5318.0] ||  -> equal(intersection(complement(complement(restrict(u,v,w))),x),identity_relation) member(regular(intersection(complement(complement(restrict(u,v,w))),x)),u)*.
% 299.85/300.45  263854[5:Res:263738.0,8397.0] ||  -> equal(symmetric_difference(universal_class,complement(restrict(u,v,w))),identity_relation) member(regular(symmetric_difference(universal_class,complement(restrict(u,v,w)))),cross_product(v,w))*.
% 299.85/300.45  263844[5:Res:263738.0,5215.0] || well_ordering(u,v) -> equal(symmetric_difference(universal_class,complement(v)),identity_relation) member(least(u,symmetric_difference(universal_class,complement(v))),symmetric_difference(universal_class,complement(v)))*.
% 299.85/300.45  263843[5:Res:263738.0,3692.1] inductive(symmetric_difference(universal_class,complement(u))) || well_ordering(v,u) -> member(least(v,symmetric_difference(universal_class,complement(u))),symmetric_difference(universal_class,complement(u)))*.
% 299.85/300.45  263943[5:Res:263745.0,5318.0] ||  -> equal(complement(complement(complement(complement(restrict(u,v,w))))),identity_relation) member(regular(complement(complement(complement(complement(restrict(u,v,w)))))),u)*.
% 299.85/300.45  264112[5:Res:263450.0,5318.0] ||  -> equal(complement(complement(intersection(restrict(u,v,w),x))),identity_relation) member(regular(complement(complement(intersection(restrict(u,v,w),x)))),u)*.
% 299.85/300.45  264259[0:Rew:20365.2,264226.2] || member(u,universal_class) subclass(rest_relation,rest_of(v))* -> subclass(rest_of(u),w) member(not_subclass_element(rest_of(u),w),cross_product(u,universal_class))*.
% 299.85/300.45  264266[0:Rew:29.0,264265.1,29.0,264265.0] || member(not_subclass_element(restrict(u,v,w),restrict(x,v,w)),x)* -> subclass(restrict(u,v,w),restrict(x,v,w)).
% 299.85/300.45  264505[7:Res:264355.0,5259.0] || well_ordering(u,singleton(identity_relation)) -> equal(segment(u,complement(successor(complement(singleton(identity_relation)))),least(u,complement(successor(complement(singleton(identity_relation)))))),identity_relation)**.
% 299.85/300.45  264531[5:Res:264356.0,5259.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(segment(u,complement(successor(complement(inverse(identity_relation)))),least(u,complement(successor(complement(inverse(identity_relation)))))),identity_relation)**.
% 299.85/300.45  264526[5:Res:264356.0,8430.0] || subclass(symmetrization_of(identity_relation),u) -> subclass(complement(successor(complement(inverse(identity_relation)))),v) member(not_subclass_element(complement(successor(complement(inverse(identity_relation)))),v),u)*.
% 299.85/300.45  264556[7:Res:264409.0,5259.0] || well_ordering(u,singleton(identity_relation)) -> equal(segment(u,complement(symmetrization_of(complement(singleton(identity_relation)))),least(u,complement(symmetrization_of(complement(singleton(identity_relation)))))),identity_relation)**.
% 299.85/300.45  264586[5:Res:264410.0,5259.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(segment(u,complement(symmetrization_of(complement(inverse(identity_relation)))),least(u,complement(symmetrization_of(complement(inverse(identity_relation)))))),identity_relation)**.
% 299.85/300.45  264581[5:Res:264410.0,8430.0] || subclass(symmetrization_of(identity_relation),u) -> subclass(complement(symmetrization_of(complement(inverse(identity_relation)))),v) member(not_subclass_element(complement(symmetrization_of(complement(inverse(identity_relation)))),v),u)*.
% 299.85/300.45  264649[5:Res:264357.0,5259.0] || well_ordering(u,power_class(v)) -> equal(segment(u,complement(successor(complement(power_class(v)))),least(u,complement(successor(complement(power_class(v)))))),identity_relation)**.
% 299.85/300.45  264644[0:Res:264357.0,8430.0] || subclass(power_class(u),v) -> subclass(complement(successor(complement(power_class(u)))),w) member(not_subclass_element(complement(successor(complement(power_class(u)))),w),v)*.
% 299.85/300.45  264681[5:Res:264411.0,5259.0] || well_ordering(u,power_class(v)) -> equal(segment(u,complement(symmetrization_of(complement(power_class(v)))),least(u,complement(symmetrization_of(complement(power_class(v)))))),identity_relation)**.
% 299.85/300.45  264676[0:Res:264411.0,8430.0] || subclass(power_class(u),v) -> subclass(complement(symmetrization_of(complement(power_class(u)))),w) member(not_subclass_element(complement(symmetrization_of(complement(power_class(u)))),w),v)*.
% 299.85/300.45  264755[5:Res:261641.0,5259.0] || well_ordering(u,complement(v)) -> equal(segment(u,intersection(w,symmetric_difference(universal_class,v)),least(u,intersection(w,symmetric_difference(universal_class,v)))),identity_relation)**.
% 299.85/300.45  264750[5:Res:261641.0,8430.0] || subclass(complement(u),v) -> subclass(intersection(w,symmetric_difference(universal_class,u)),x) member(not_subclass_element(intersection(w,symmetric_difference(universal_class,u)),x),v)*.
% 299.85/300.45  264794[5:SpL:203228.1,250837.0] || equal(identity_relation,u) member(regular(power_class(complement(power_class(u)))),image(element_relation,power_class(u)))* -> equal(power_class(complement(power_class(identity_relation))),identity_relation).
% 299.85/300.45  264793[5:SpL:203228.1,250837.0] || equal(identity_relation,u) member(regular(power_class(complement(power_class(identity_relation)))),image(element_relation,power_class(identity_relation)))* -> equal(power_class(complement(power_class(u))),identity_relation)**.
% 299.85/300.45  264889[5:Res:263389.0,5259.0] || well_ordering(u,complement(v)) -> equal(segment(u,intersection(symmetric_difference(universal_class,v),w),least(u,intersection(symmetric_difference(universal_class,v),w))),identity_relation)**.
% 299.85/300.45  264884[5:Res:263389.0,8430.0] || subclass(complement(u),v) -> subclass(intersection(symmetric_difference(universal_class,u),w),x) member(not_subclass_element(intersection(symmetric_difference(universal_class,u),w),x),v)*.
% 299.85/300.45  265255[15:Res:263560.1,209009.1] function(u) || equal(complement(domain_of(range_of(v))),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.85/300.45  265253[5:Res:263560.1,1014.1] || equal(complement(domain_of(restrict(u,v,w))),identity_relation)** section(u,w,v) -> equal(domain_of(restrict(u,v,w)),w).
% 299.85/300.45  265519[5:Res:28995.3,29473.0] function(domain_of(u)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(domain_of(u),identity_relation) member(least(element_relation,domain_of(u)),cantor(u))*.
% 299.85/300.45  265498[5:Res:28995.3,25.1] function(complement(u)) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,complement(u)),u)* -> equal(complement(u),identity_relation).
% 299.85/300.45  265495[5:Res:28995.3,2.0] function(u) || member(cross_product(universal_class,universal_class),universal_class) subclass(u,v) -> equal(u,identity_relation) member(least(element_relation,u),v)*.
% 299.85/300.45  265856[5:Res:262147.0,5320.0] ||  -> equal(restrict(complement(complement(intersection(u,v))),w,x),identity_relation) member(regular(restrict(complement(complement(intersection(u,v))),w,x)),v)*.
% 299.85/300.45  265855[5:Res:262147.0,5321.0] ||  -> equal(restrict(complement(complement(intersection(u,v))),w,x),identity_relation) member(regular(restrict(complement(complement(intersection(u,v))),w,x)),u)*.
% 299.85/300.45  265844[5:Res:262147.0,5316.0] || subclass(u,v) -> equal(restrict(complement(complement(u)),w,x),identity_relation) member(regular(restrict(complement(complement(u)),w,x)),v)*.
% 299.85/300.45  265998[5:Res:262737.0,5320.0] ||  -> equal(complement(complement(restrict(intersection(u,v),w,x))),identity_relation) member(regular(complement(complement(restrict(intersection(u,v),w,x)))),v)*.
% 299.85/300.45  265997[5:Res:262737.0,5321.0] ||  -> equal(complement(complement(restrict(intersection(u,v),w,x))),identity_relation) member(regular(complement(complement(restrict(intersection(u,v),w,x)))),u)*.
% 299.85/300.45  265986[5:Res:262737.0,5316.0] || subclass(u,v) -> equal(complement(complement(restrict(u,w,x))),identity_relation) member(regular(complement(complement(restrict(u,w,x)))),v)*.
% 299.85/300.45  266156[5:Res:261130.0,5320.0] ||  -> equal(restrict(intersection(u,intersection(v,w)),x,y),identity_relation) member(regular(restrict(intersection(u,intersection(v,w)),x,y)),w)*.
% 299.85/300.45  266155[5:Res:261130.0,5321.0] ||  -> equal(restrict(intersection(u,intersection(v,w)),x,y),identity_relation) member(regular(restrict(intersection(u,intersection(v,w)),x,y)),v)*.
% 299.85/300.45  266144[5:Res:261130.0,5316.0] || subclass(u,v) -> equal(restrict(intersection(w,u),x,y),identity_relation) member(regular(restrict(intersection(w,u),x,y)),v)*.
% 299.85/300.45  266401[5:Res:261700.0,5320.0] ||  -> equal(restrict(intersection(intersection(u,v),w),x,y),identity_relation) member(regular(restrict(intersection(intersection(u,v),w),x,y)),v)*.
% 299.85/300.45  266400[5:Res:261700.0,5321.0] ||  -> equal(restrict(intersection(intersection(u,v),w),x,y),identity_relation) member(regular(restrict(intersection(intersection(u,v),w),x,y)),u)*.
% 299.85/300.45  266389[5:Res:261700.0,5316.0] || subclass(u,v) -> equal(restrict(intersection(u,w),x,y),identity_relation) member(regular(restrict(intersection(u,w),x,y)),v)*.
% 299.85/300.45  266531[5:Res:262535.0,5320.0] ||  -> equal(intersection(restrict(intersection(u,v),w,x),y),identity_relation) member(regular(intersection(restrict(intersection(u,v),w,x),y)),v)*.
% 299.85/300.45  266530[5:Res:262535.0,5321.0] ||  -> equal(intersection(restrict(intersection(u,v),w,x),y),identity_relation) member(regular(intersection(restrict(intersection(u,v),w,x),y)),u)*.
% 299.85/300.45  266519[5:Res:262535.0,5316.0] || subclass(u,v) -> equal(intersection(restrict(u,w,x),y),identity_relation) member(regular(intersection(restrict(u,w,x),y)),v)*.
% 299.85/300.45  266702[0:Res:59.1,123566.0] || member(ordered_pair(u,v),compose(w,x))* -> equal(ordered_pair(first(ordered_pair(v,omega)),second(ordered_pair(v,omega))),ordered_pair(v,omega))**.
% 299.85/300.45  266904[0:Res:20387.1,34161.0] || subclass(rest_relation,rotate(cross_product(universal_class,universal_class))) subclass(composition_function,rest_of(u)) -> member(ordered_pair(v,rest_of(ordered_pair(w,v))),domain_of(u))*.
% 299.85/300.45  266980[5:Res:5288.2,8100.2] || subclass(omega,u) member(v,universal_class) subclass(universal_class,regular(u))* -> equal(integer_of(sum_class(v)),identity_relation)** equal(u,identity_relation).
% 299.85/300.45  266947[5:SpL:69.0,8100.2] || member(image(u,singleton(v)),universal_class)* subclass(universal_class,regular(w)) member(apply(u,v),w)* -> equal(w,identity_relation).
% 299.85/300.45  267003[5:MRR:266964.0,55.1] || member(u,universal_class) subclass(universal_class,regular(union(v,w)))* -> member(sum_class(u),complement(v))* equal(union(v,w),identity_relation).
% 299.85/300.45  267004[5:MRR:266963.0,55.1] || member(u,universal_class) subclass(universal_class,regular(union(v,w)))* -> member(sum_class(u),complement(w))* equal(union(v,w),identity_relation).
% 299.85/300.45  267005[5:MRR:266960.4,204341.2] || member(sum_class(u),v)* member(sum_class(u),w)* member(u,universal_class) subclass(universal_class,regular(intersection(w,v)))* -> .
% 299.85/300.45  267052[5:Res:262110.0,5316.0] || subclass(complement(inverse(identity_relation)),u) -> equal(intersection(v,complement(symmetrization_of(identity_relation))),identity_relation) member(regular(intersection(v,complement(symmetrization_of(identity_relation)))),u)*.
% 299.85/300.45  267104[5:Res:5288.2,8099.2] || subclass(omega,u) member(v,universal_class) subclass(universal_class,regular(u))* -> equal(integer_of(power_class(v)),identity_relation)** equal(u,identity_relation).
% 299.85/300.45  267140[5:MRR:267088.0,57.1] || member(u,universal_class) subclass(universal_class,regular(union(v,w)))* -> member(power_class(u),complement(v))* equal(union(v,w),identity_relation).
% 299.85/300.45  267141[5:MRR:267087.0,57.1] || member(u,universal_class) subclass(universal_class,regular(union(v,w)))* -> member(power_class(u),complement(w))* equal(union(v,w),identity_relation).
% 299.85/300.45  267142[5:MRR:267084.4,204341.2] || member(power_class(u),v)* member(power_class(u),w)* member(u,universal_class) subclass(universal_class,regular(intersection(w,v)))* -> .
% 299.85/300.45  267270[5:Res:263697.0,5316.0] || subclass(complement(inverse(identity_relation)),u) -> equal(intersection(complement(symmetrization_of(identity_relation)),v),identity_relation) member(regular(intersection(complement(symmetrization_of(identity_relation)),v)),u)*.
% 299.85/300.45  267626[5:Res:267557.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))),least(u,symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.85/300.45  267621[5:Res:267557.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))),v) member(not_subclass_element(symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))),v),u)*.
% 299.85/300.45  267642[5:Res:267563.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,complement(successor(complement(inverse(identity_relation)))),least(u,complement(successor(complement(inverse(identity_relation)))))),identity_relation)**.
% 299.85/300.45  267637[5:Res:267563.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(complement(successor(complement(inverse(identity_relation)))),v) member(not_subclass_element(complement(successor(complement(inverse(identity_relation)))),v),u)*.
% 299.85/300.45  267658[5:Res:267564.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,complement(symmetrization_of(complement(inverse(identity_relation)))),least(u,complement(symmetrization_of(complement(inverse(identity_relation)))))),identity_relation)**.
% 299.85/300.45  267653[5:Res:267564.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(complement(symmetrization_of(complement(inverse(identity_relation)))),v) member(not_subclass_element(complement(symmetrization_of(complement(inverse(identity_relation)))),v),u)*.
% 299.85/300.45  267675[20:Res:267580.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),least(u,singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)))),identity_relation)**.
% 299.85/300.45  267727[5:Res:5288.2,2159.0] || subclass(omega,composition_function) -> equal(integer_of(singleton(singleton(singleton(ordered_pair(u,v))))),identity_relation)** equal(compose(singleton(ordered_pair(u,v)),u),v)**.
% 299.85/300.45  268213[0:Res:20387.1,34162.0] || subclass(rest_relation,rotate(cross_product(universal_class,universal_class))) subclass(composition_function,cross_product(u,v))* -> member(ordered_pair(w,rest_of(ordered_pair(x,w))),u)*.
% 299.85/300.45  268293[5:Res:263822.0,5316.0] || subclass(symmetric_difference(universal_class,u),v) -> equal(symmetric_difference(universal_class,union(u,identity_relation)),identity_relation) member(regular(symmetric_difference(universal_class,union(u,identity_relation))),v)*.
% 299.85/300.45  268362[17:SpL:196425.0,9122.1] || member(inverse(u),domain_of(cross_product(v,w)))* equal(restrict(cross_product(identity_relation,universal_class),v,w),identity_relation) -> equal(range_of(u),identity_relation).
% 299.85/300.45  268358[12:SpL:192336.1,9122.1] || member(u,universal_class) member(range_of(u),domain_of(cross_product(v,w)))* equal(restrict(cross_product(identity_relation,universal_class),v,w),identity_relation) -> .
% 299.85/300.45  268431[5:Res:264364.0,5316.0] || subclass(union(u,identity_relation),v) -> equal(complement(successor(symmetric_difference(universal_class,u))),identity_relation) member(regular(complement(successor(symmetric_difference(universal_class,u)))),v)*.
% 299.85/300.45  268902[5:Res:5288.2,8098.0] || subclass(omega,u) -> equal(integer_of(regular(intersection(v,regular(u)))),identity_relation)** equal(intersection(v,regular(u)),identity_relation) equal(u,identity_relation).
% 299.85/300.45  268895[5:Res:608.1,8098.0] || member(regular(intersection(u,regular(domain_of(v)))),cantor(v))* -> equal(intersection(u,regular(domain_of(v))),identity_relation) equal(domain_of(v),identity_relation).
% 299.85/300.45  268948[5:Rew:5576.1,268947.1] || member(regular(intersection(u,v)),intersection(w,singleton(v)))* -> equal(intersection(u,v),identity_relation) equal(intersection(w,singleton(v)),identity_relation).
% 299.85/300.45  268950[5:Rew:5601.1,268949.1] || member(regular(intersection(u,v)),intersection(singleton(v),w))* -> equal(intersection(u,v),identity_relation) equal(intersection(singleton(v),w),identity_relation).
% 299.85/300.45  268975[5:SpL:5337.2,268510.0] || member(cross_product(u,v),universal_class) equal(successor(singleton(apply(choice,cross_product(u,v)))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  269079[5:Res:5288.2,8091.0] || subclass(omega,u) -> equal(integer_of(regular(intersection(regular(u),v))),identity_relation)** equal(intersection(regular(u),v),identity_relation) equal(u,identity_relation).
% 299.85/300.45  269071[5:Res:608.1,8091.0] || member(regular(intersection(regular(domain_of(u)),v)),cantor(u))* -> equal(intersection(regular(domain_of(u)),v),identity_relation) equal(domain_of(u),identity_relation).
% 299.85/300.45  269126[5:Rew:5576.1,269125.1] || member(regular(intersection(u,v)),intersection(w,singleton(u)))* -> equal(intersection(u,v),identity_relation) equal(intersection(w,singleton(u)),identity_relation).
% 299.85/300.45  269128[5:Rew:5601.1,269127.1] || member(regular(intersection(u,v)),intersection(singleton(u),w))* -> equal(intersection(u,v),identity_relation) equal(intersection(singleton(u),w),identity_relation).
% 299.85/300.45  269289[5:Rew:200704.1,269269.2] || equal(u,universal_class) -> inductive(u) equal(cross_product(v,identity_relation),identity_relation) equal(domain__dfg(regular(cross_product(v,identity_relation)),v,u),single_valued3(identity_relation))**.
% 299.85/300.45  269322[5:Res:264418.0,5316.0] || subclass(union(u,identity_relation),v) -> equal(complement(symmetrization_of(symmetric_difference(universal_class,u))),identity_relation) member(regular(complement(symmetrization_of(symmetric_difference(universal_class,u)))),v)*.
% 299.85/300.45  269578[5:Res:5214.2,7532.1] || subclass(u,power_class(intersection(complement(v),complement(w)))) member(regular(u),image(element_relation,union(v,w)))* -> equal(u,identity_relation).
% 299.85/300.45  269788[7:Res:230400.0,27621.1] || member(regular(complement(singleton(identity_relation))),universal_class) -> equal(regular(complement(singleton(identity_relation))),identity_relation) equal(apply(choice,regular(complement(singleton(identity_relation)))),identity_relation)**.
% 299.85/300.45  269773[5:Res:47673.0,27621.1] || member(complement(complement(singleton(u))),universal_class) -> equal(complement(complement(singleton(u))),identity_relation) equal(apply(choice,complement(complement(singleton(u)))),u)**.
% 299.85/300.45  269851[5:SpL:5337.2,269402.0] || member(cross_product(u,v),universal_class) equal(symmetrization_of(singleton(apply(choice,cross_product(u,v)))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  270046[17:Res:195208.2,2.0] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,w)) subclass(union(v,w),x)* -> member(ordered_pair(u,identity_relation),x)*.
% 299.85/300.45  270233[17:SpL:251233.0,195185.1] || member(u,universal_class) subclass(domain_relation,symmetric_difference(power_class(v),complement(w))) -> member(ordered_pair(u,identity_relation),union(complement(power_class(v)),w))*.
% 299.85/300.45  270683[0:SpL:251244.0,222432.0] || member(u,complement(union(intersection(power_class(v),complement(w)),x))) -> member(u,intersection(union(complement(power_class(v)),w),complement(x)))*.
% 299.85/300.45  270662[5:SpL:251244.0,206410.0] || subclass(union(intersection(power_class(u),complement(v)),w),identity_relation) well_ordering(universal_class,intersection(union(complement(power_class(u)),v),complement(w)))* -> .
% 299.85/300.45  270655[7:SpL:251244.0,189304.1] inductive(intersection(union(complement(power_class(u)),v),complement(w))) || equal(union(intersection(power_class(u),complement(v)),w),singleton(identity_relation))** -> .
% 299.85/300.45  270651[0:SpL:251244.0,152807.0] || well_ordering(universal_class,union(intersection(power_class(u),complement(v)),w)) well_ordering(universal_class,intersection(union(complement(power_class(u)),v),complement(w)))* -> .
% 299.85/300.45  270650[15:SpL:251244.0,199274.0] || well_ordering(universal_class,union(intersection(power_class(u),complement(v)),w)) -> member(singleton(identity_relation),intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270648[14:SpL:251244.0,178300.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),universal_class)** equal(union(intersection(power_class(u),complement(v)),w),omega) -> .
% 299.85/300.45  270647[14:SpL:251244.0,178428.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),omega)** equal(union(intersection(power_class(u),complement(v)),w),omega) -> .
% 299.85/300.45  270645[14:SpL:251244.0,178030.0] || subclass(omega,union(intersection(power_class(u),complement(v)),w)) member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))* -> .
% 299.85/300.45  270628[14:SpL:251244.0,222425.0] || subclass(omega,complement(union(intersection(power_class(u),complement(v)),w))) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270621[14:SpL:251244.0,178304.0] || equal(complement(union(intersection(power_class(u),complement(v)),w)),omega) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270619[5:SpL:251244.0,222410.0] || subclass(universal_class,complement(union(intersection(power_class(u),complement(v)),w))) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270618[0:SpL:251244.0,222412.0] || subclass(universal_class,complement(union(intersection(power_class(u),complement(v)),w))) -> member(omega,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270616[0:SpL:251244.0,889.0] || equal(complement(union(intersection(power_class(u),complement(v)),w)),universal_class) -> member(omega,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270615[5:SpL:251244.0,5193.0] || equal(complement(union(intersection(power_class(u),complement(v)),w)),universal_class) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270613[5:SpL:251244.0,264001.0] || equal(complement(union(intersection(power_class(u),complement(v)),w)),universal_class) -> subclass(universal_class,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270612[5:SpL:251244.0,27247.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),domain_relation)** equal(union(intersection(power_class(u),complement(v)),w),domain_relation) -> .
% 299.85/300.45  270611[5:SpL:251244.0,27188.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),universal_class)** equal(union(intersection(power_class(u),complement(v)),w),domain_relation) -> .
% 299.85/300.45  270609[5:SpL:251244.0,27118.1] || subclass(domain_relation,intersection(union(complement(power_class(u)),v),complement(w)))* subclass(domain_relation,union(intersection(power_class(u),complement(v)),w)) -> .
% 299.85/300.45  270608[5:SpL:251244.0,27099.1] || subclass(universal_class,intersection(union(complement(power_class(u)),v),complement(w)))* subclass(domain_relation,union(intersection(power_class(u),complement(v)),w)) -> .
% 299.85/300.45  270596[5:SpL:251244.0,40248.1] || subclass(domain_relation,intersection(union(complement(power_class(u)),v),complement(w)))* subclass(universal_class,union(intersection(power_class(u),complement(v)),w)) -> .
% 299.85/300.45  270595[0:SpL:251244.0,790.0] || subclass(universal_class,union(intersection(power_class(u),complement(v)),w)) member(omega,intersection(union(complement(power_class(u)),v),complement(w)))* -> .
% 299.85/300.45  270594[0:SpL:251244.0,3615.1] || subclass(universal_class,intersection(union(complement(power_class(u)),v),complement(w)))* subclass(universal_class,union(intersection(power_class(u),complement(v)),w)) -> .
% 299.85/300.45  270593[0:SpL:251244.0,124986.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),universal_class) subclass(universal_class,union(intersection(power_class(u),complement(v)),w))* -> .
% 299.85/300.45  270591[5:SpL:251244.0,5195.0] || subclass(universal_class,union(intersection(power_class(u),complement(v)),w)) member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))* -> .
% 299.85/300.45  270588[0:SpR:222089.0,251244.0] ||  -> equal(union(intersection(power_class(u),complement(v)),complement(union(complement(power_class(u)),v))),complement(complement(complement(union(complement(power_class(u)),v)))))**.
% 299.85/300.45  270507[0:SpR:251244.0,8614.0] ||  -> subclass(symmetric_difference(complement(u),union(intersection(power_class(v),complement(w)),x)),union(u,intersection(union(complement(power_class(v)),w),complement(x))))*.
% 299.85/300.45  270497[5:SpR:251244.0,239026.0] ||  -> equal(intersection(restrict(intersection(union(complement(power_class(u)),v),complement(w)),x,y),union(intersection(power_class(u),complement(v)),w)),identity_relation)**.
% 299.85/300.45  270496[5:SpR:251244.0,237599.0] ||  -> equal(intersection(union(intersection(power_class(u),complement(v)),w),restrict(intersection(union(complement(power_class(u)),v),complement(w)),x,y)),identity_relation)**.
% 299.85/300.45  270479[15:SpR:251244.0,194012.1] ||  -> member(singleton(identity_relation),intersection(union(complement(power_class(u)),v),complement(w)))* member(singleton(identity_relation),union(intersection(power_class(u),complement(v)),w)).
% 299.85/300.45  270442[0:SpR:251244.0,8614.0] ||  -> subclass(symmetric_difference(union(intersection(power_class(u),complement(v)),w),complement(x)),union(intersection(union(complement(power_class(u)),v),complement(w)),x))*.
% 299.85/300.45  270879[5:SpL:251244.0,265197.0] || equal(complement(union(intersection(power_class(u),complement(v)),w)),identity_relation) -> equal(intersection(union(complement(power_class(u)),v),complement(w)),identity_relation)**.
% 299.85/300.45  29430[0:SpL:160.0,2609.2] || member(u,union(v,w)) member(u,complement(intersection(v,w)))* subclass(symmetric_difference(v,w),x)* -> member(u,x)*.
% 299.85/300.45  30826[0:Res:779.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(ordered_pair(w,x),union(u,v)) -> member(ordered_pair(w,x),symmetric_difference(u,v))*.
% 299.85/300.45  30823[0:Res:3780.1,2599.1] || equal(complement(complement(complement(intersection(u,v)))),universal_class)** member(singleton(w),union(u,v)) -> member(singleton(w),symmetric_difference(u,v))*.
% 299.85/300.45  34136[0:Res:3654.2,1054.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,singleton(w))* -> equal(ordered_pair(u,ordered_pair(v,compose(u,v))),w)*.
% 299.85/300.45  34164[0:Res:3654.2,94.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,compose_class(w))* -> equal(compose(w,u),ordered_pair(v,compose(u,v)))*.
% 299.85/300.45  89407[0:Rew:123.0,89398.2] || member(u,cantor(restrict(v,w,singleton(u))))* section(v,singleton(u),w) -> equal(segment(v,w,u),singleton(u)).
% 299.85/300.45  40225[0:Res:2603.2,1025.1] || member(ordered_pair(u,v),cross_product(w,x))* member(ordered_pair(u,v),y)* subclass(universal_class,complement(restrict(y,w,x)))* -> .
% 299.85/300.45  29379[0:SpR:939.0,943.1] || member(u,symmetric_difference(complement(restrict(v,w,x)),union(cross_product(w,x),v)))* -> member(u,complement(symmetric_difference(cross_product(w,x),v))).
% 299.85/300.45  47864[0:SpL:939.0,8165.1] || member(u,symmetric_difference(complement(restrict(v,w,x)),union(cross_product(w,x),v)))* member(u,symmetric_difference(cross_product(w,x),v)) -> .
% 299.85/300.45  29229[0:SpR:938.0,943.1] || member(u,symmetric_difference(complement(restrict(v,w,x)),union(v,cross_product(w,x))))* -> member(u,complement(symmetric_difference(v,cross_product(w,x)))).
% 299.85/300.45  47863[0:SpL:938.0,8165.1] || member(u,symmetric_difference(complement(restrict(v,w,x)),union(v,cross_product(w,x))))* member(u,symmetric_difference(v,cross_product(w,x))) -> .
% 299.85/300.45  31682[5:MRR:31653.3,5188.0] || asymmetric(cross_product(u,v),w)* member(x,cross_product(w,w))* member(x,restrict(inverse(cross_product(u,v)),u,v))* -> .
% 299.85/300.45  8821[0:SpR:30.0,931.0] ||  -> equal(intersection(complement(restrict(inverse(cross_product(u,v)),u,v)),symmetrization_of(cross_product(u,v))),symmetric_difference(cross_product(u,v),inverse(cross_product(u,v))))**.
% 299.85/300.45  8883[0:SpR:30.0,932.0] ||  -> equal(intersection(complement(restrict(singleton(cross_product(u,v)),u,v)),successor(cross_product(u,v))),symmetric_difference(cross_product(u,v),singleton(cross_product(u,v))))**.
% 299.85/300.45  116830[0:Res:366.1,8157.0] ||  -> subclass(intersection(symmetric_difference(complement(u),complement(v)),w),x) member(not_subclass_element(intersection(symmetric_difference(complement(u),complement(v)),w),x),union(u,v))*.
% 299.85/300.45  116846[0:Res:356.1,8157.0] ||  -> subclass(intersection(u,symmetric_difference(complement(v),complement(w))),x) member(not_subclass_element(intersection(u,symmetric_difference(complement(v),complement(w))),x),union(v,w))*.
% 299.85/300.45  36392[0:SpL:2089.1,4722.0] || equal(u,not_subclass_element(cross_product(v,w),x)) -> subclass(cross_product(v,w),x) member(singleton(first(not_subclass_element(cross_product(v,w),x))),u)*.
% 299.85/300.45  36377[0:SpL:2089.1,782.0] || subclass(not_subclass_element(cross_product(u,v),w),x) -> subclass(cross_product(u,v),w) member(singleton(first(not_subclass_element(cross_product(u,v),w))),x)*.
% 299.85/300.45  8438[0:Res:766.2,18.0] || subclass(u,cross_product(v,w))* -> subclass(u,x) equal(ordered_pair(first(not_subclass_element(u,x)),second(not_subclass_element(u,x))),not_subclass_element(u,x))**.
% 299.85/300.45  30825[0:Res:762.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(unordered_pair(w,x),union(u,v)) -> member(unordered_pair(w,x),symmetric_difference(u,v))*.
% 299.85/300.45  20345[0:Res:780.2,9.0] || member(u,universal_class) subclass(rest_relation,unordered_pair(v,w))* -> equal(ordered_pair(u,rest_of(u)),w)* equal(ordered_pair(u,rest_of(u)),v)*.
% 299.85/300.45  39974[0:Res:2603.2,1002.1] || member(unordered_pair(u,v),cross_product(w,x))* member(unordered_pair(u,v),y)* subclass(universal_class,complement(restrict(y,w,x)))* -> .
% 299.85/300.45  146222[0:SpR:145868.1,930.0] || subclass(u,v) -> equal(intersection(complement(symmetric_difference(v,u)),union(complement(u),union(v,u))),symmetric_difference(complement(u),union(v,u)))**.
% 299.85/300.45  146670[0:SpL:146022.0,2599.1] || member(u,union(v,intersection(v,w))) member(u,complement(intersection(v,w))) -> member(u,symmetric_difference(v,intersection(v,w)))*.
% 299.85/300.45  146647[0:SpR:930.0,146022.0] ||  -> equal(intersection(complement(symmetric_difference(u,v)),symmetric_difference(complement(intersection(u,v)),union(u,v))),symmetric_difference(complement(intersection(u,v)),union(u,v)))**.
% 299.85/300.45  146795[0:SpL:146209.0,2599.1] || member(u,union(v,intersection(w,v))) member(u,complement(intersection(w,v))) -> member(u,symmetric_difference(v,intersection(w,v)))*.
% 299.85/300.45  162490[0:Res:122671.0,9.0] ||  -> subclass(u,complement(unordered_pair(v,w))) equal(not_subclass_element(u,complement(unordered_pair(v,w))),w)** equal(not_subclass_element(u,complement(unordered_pair(v,w))),v)**.
% 299.85/300.45  30212[0:Res:3743.3,2.0] || member(u,universal_class) member(v,universal_class) equal(successor(v),u) subclass(successor_relation,w) -> member(ordered_pair(v,u),w)*.
% 299.85/300.45  30839[5:Res:5615.1,2599.1] || subclass(domain_relation,complement(intersection(u,v))) member(ordered_pair(identity_relation,identity_relation),union(u,v)) -> member(ordered_pair(identity_relation,identity_relation),symmetric_difference(u,v))*.
% 299.85/300.45  28213[5:Res:27132.1,1043.0] || subclass(domain_relation,complement(complement(ordered_pair(u,v))))* -> equal(unordered_pair(u,singleton(v)),ordered_pair(identity_relation,identity_relation)) equal(ordered_pair(identity_relation,identity_relation),singleton(u)).
% 299.85/300.45  28263[5:Res:2603.2,6463.1] || member(ordered_pair(identity_relation,identity_relation),cross_product(u,v))* member(ordered_pair(identity_relation,identity_relation),w) subclass(domain_relation,complement(restrict(w,u,v)))* -> .
% 299.85/300.45  34007[5:SpR:5338.1,648.0] ||  -> equal(cross_product(u,v),identity_relation) member(unordered_pair(first(regular(cross_product(u,v))),singleton(second(regular(cross_product(u,v))))),regular(cross_product(u,v)))*.
% 299.85/300.45  118470[5:Rew:118446.0,29269.1] ||  -> equal(cross_product(u,v),identity_relation) equal(symmetric_difference(regular(cross_product(u,v)),cross_product(u,v)),union(regular(cross_product(u,v)),cross_product(u,v)))**.
% 299.85/300.45  125891[5:Res:5288.2,2599.1] || subclass(omega,complement(intersection(u,v)))* member(w,union(u,v)) -> equal(integer_of(w),identity_relation) member(w,symmetric_difference(u,v))*.
% 299.85/300.45  113747[5:Obv:113678.2] || subclass(unordered_pair(u,v),complement(w))* member(v,w) -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.45  113748[5:Obv:113677.2] || subclass(unordered_pair(u,v),complement(w))* member(u,w) -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.45  118463[5:Rew:118446.0,29216.2] ||  -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation) equal(symmetric_difference(unordered_pair(u,v),v),union(unordered_pair(u,v),v))**.
% 299.85/300.45  118464[5:Rew:118446.0,29214.2] ||  -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation) equal(symmetric_difference(unordered_pair(u,v),u),union(unordered_pair(u,v),u))**.
% 299.85/300.45  117671[5:Res:3728.1,5320.0] || equal(sum_class(intersection(u,v)),intersection(u,v)) -> equal(sum_class(intersection(u,v)),identity_relation) member(regular(sum_class(intersection(u,v))),v)*.
% 299.85/300.45  117870[5:Res:3728.1,5321.0] || equal(sum_class(intersection(u,v)),intersection(u,v)) -> equal(sum_class(intersection(u,v)),identity_relation) member(regular(sum_class(intersection(u,v))),u)*.
% 299.85/300.45  5406[5:Rew:5180.0,2607.2] || member(regular(complement(intersection(u,v))),v)* member(regular(complement(intersection(u,v))),u)* -> equal(complement(intersection(u,v)),identity_relation).
% 299.85/300.45  25275[5:Res:5295.1,588.0] || member(regular(intersection(u,intersection(complement(v),complement(w)))),union(v,w))* -> equal(intersection(u,intersection(complement(v),complement(w))),identity_relation).
% 299.85/300.45  25205[5:Res:5294.1,588.0] || member(regular(intersection(intersection(complement(u),complement(v)),w)),union(u,v))* -> equal(intersection(intersection(complement(u),complement(v)),w),identity_relation).
% 299.85/300.45  183426[5:Res:779.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(w,x),least(omega,u))),identity_relation)**.
% 299.85/300.45  183431[5:Res:762.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(unordered_pair(w,x),least(omega,u))),identity_relation)**.
% 299.85/300.45  183440[5:Res:5252.1,5490.0] || subclass(singleton(u),v)* well_ordering(omega,v) -> equal(singleton(u),identity_relation) equal(integer_of(ordered_pair(u,least(omega,singleton(u)))),identity_relation)**.
% 299.85/300.45  183441[5:Res:334.1,5490.0] || member(u,universal_class) subclass(singleton(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(u,least(omega,singleton(u)))),identity_relation)**.
% 299.85/300.45  183475[5:Res:5615.1,5490.0] || subclass(domain_relation,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(identity_relation,identity_relation),least(omega,u))),identity_relation)**.
% 299.85/300.45  183492[5:Res:53064.1,5490.0] || well_ordering(u,rest_relation) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(least(u,rest_relation),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  183493[5:Res:53058.1,5490.0] || well_ordering(u,universal_class) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(least(u,rest_relation),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  183494[5:Res:53055.1,5490.0] || well_ordering(u,rest_relation) subclass(rest_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(least(u,rest_relation),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  183495[5:Res:53042.1,5490.0] || well_ordering(u,universal_class) subclass(rest_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(least(u,rest_relation),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  183496[5:Res:8771.1,5490.0] || well_ordering(u,universal_class) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(least(u,universal_class),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  126531[5:MRR:126530.3,5240.0] || equal(cantor(restrict(u,v,w)),universal_class)** section(u,w,v) well_ordering(x,w)* -> member(least(x,universal_class),universal_class)*.
% 299.85/300.45  93543[5:MRR:93542.3,5240.0] || equal(rest_of(restrict(u,v,w)),rest_relation)** section(u,w,v) well_ordering(x,w)* -> member(least(x,universal_class),universal_class)*.
% 299.85/300.45  45892[3:Res:45823.0,3692.1] inductive(intersection(cantor(u),v)) || well_ordering(w,domain_of(u)) -> member(least(w,intersection(cantor(u),v)),intersection(cantor(u),v))*.
% 299.85/300.45  45981[3:Res:45825.0,3692.1] inductive(intersection(u,cantor(v))) || well_ordering(w,domain_of(v)) -> member(least(w,intersection(u,cantor(v))),intersection(u,cantor(v)))*.
% 299.85/300.45  116870[3:Res:28041.2,8157.0] inductive(symmetric_difference(complement(u),complement(v))) || well_ordering(w,universal_class) -> member(least(w,symmetric_difference(complement(u),complement(v))),union(u,v))*.
% 299.85/300.45  150223[5:Res:144786.1,126.0] || equal(symmetric_difference(universal_class,u),universal_class) subclass(complement(u),v)* well_ordering(w,v)* -> member(least(w,complement(u)),complement(u))*.
% 299.85/300.45  3717[0:Res:651.0,126.0] || subclass(singleton(singleton(singleton(u))),v)* well_ordering(w,v)* -> member(least(w,singleton(singleton(singleton(u)))),singleton(singleton(singleton(u))))*.
% 299.85/300.45  123361[5:Rew:118446.0,28100.2,118455.0,28100.2,118447.0,28100.1] inductive(symmetric_difference(intersection(universal_class,u),identity_relation)) || well_ordering(v,union(u,identity_relation)) -> member(least(v,union(u,identity_relation)),union(u,identity_relation))*.
% 299.85/300.45  28079[3:Res:8278.0,3692.1] inductive(symmetric_difference(u,inverse(u))) || well_ordering(v,symmetrization_of(u)) -> member(least(v,symmetric_difference(u,inverse(u))),symmetric_difference(u,inverse(u)))*.
% 299.85/300.45  123266[5:Rew:119684.0,107843.2,119684.0,107843.1] inductive(intersection(complement(u),universal_class)) || well_ordering(v,symmetric_difference(universal_class,u)) member(least(v,symmetric_difference(universal_class,u)),union(u,identity_relation))* -> .
% 299.85/300.45  104043[3:Res:28061.2,8834.0] inductive(symmetric_difference(u,inverse(u))) || well_ordering(v,symmetric_difference(u,inverse(u))) -> member(least(v,symmetric_difference(u,inverse(u))),symmetrization_of(u))*.
% 299.85/300.45  104044[3:Res:28061.2,8898.0] inductive(symmetric_difference(u,singleton(u))) || well_ordering(v,symmetric_difference(u,singleton(u))) -> member(least(v,symmetric_difference(u,singleton(u))),successor(u))*.
% 299.85/300.45  47982[3:Res:47679.0,3692.1] inductive(complement(complement(cantor(u)))) || well_ordering(v,domain_of(u)) -> member(least(v,complement(complement(cantor(u)))),complement(complement(cantor(u))))*.
% 299.85/300.45  28078[3:Res:8279.0,3692.1] inductive(symmetric_difference(u,singleton(u))) || well_ordering(v,successor(u)) -> member(least(v,symmetric_difference(u,singleton(u))),symmetric_difference(u,singleton(u)))*.
% 299.85/300.45  123271[5:Rew:122359.0,123270.2] inductive(complement(union(identity_relation,u))) || well_ordering(v,complement(u)) -> member(least(v,complement(complement(complement(u)))),complement(complement(complement(u))))*.
% 299.85/300.45  183474[5:Res:6523.1,5490.0] || equal(domain_relation,rest_relation) subclass(rest_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(ordered_pair(identity_relation,identity_relation),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  48821[5:Res:5403.2,8834.0] || well_ordering(u,symmetric_difference(v,inverse(v))) -> equal(symmetric_difference(v,inverse(v)),identity_relation) member(least(u,symmetric_difference(v,inverse(v))),symmetrization_of(v))*.
% 299.85/300.45  48822[5:Res:5403.2,8898.0] || well_ordering(u,symmetric_difference(v,singleton(v))) -> equal(symmetric_difference(v,singleton(v)),identity_relation) member(least(u,symmetric_difference(v,singleton(v))),successor(v))*.
% 299.85/300.45  8419[5:Res:8279.0,5215.0] || well_ordering(u,successor(v)) -> equal(symmetric_difference(v,singleton(v)),identity_relation) member(least(u,symmetric_difference(v,singleton(v))),symmetric_difference(v,singleton(v)))*.
% 299.85/300.45  8414[5:Res:8278.0,5215.0] || well_ordering(u,symmetrization_of(v)) -> equal(symmetric_difference(v,inverse(v)),identity_relation) member(least(u,symmetric_difference(v,inverse(v))),symmetric_difference(v,inverse(v)))*.
% 299.85/300.45  9028[5:Res:8614.0,5259.0] || well_ordering(u,union(v,w)) -> equal(segment(u,symmetric_difference(complement(v),complement(w)),least(u,symmetric_difference(complement(v),complement(w)))),identity_relation)**.
% 299.85/300.45  47984[5:Res:47679.0,5215.0] || well_ordering(u,domain_of(v)) -> equal(complement(complement(cantor(v))),identity_relation) member(least(u,complement(complement(cantor(v)))),complement(complement(cantor(v))))*.
% 299.85/300.45  45983[5:Res:45825.0,5215.0] || well_ordering(u,domain_of(v)) -> equal(intersection(w,cantor(v)),identity_relation) member(least(u,intersection(w,cantor(v))),intersection(w,cantor(v)))*.
% 299.85/300.45  45894[5:Res:45823.0,5215.0] || well_ordering(u,domain_of(v)) -> equal(intersection(cantor(v),w),identity_relation) member(least(u,intersection(cantor(v),w)),intersection(cantor(v),w))*.
% 299.85/300.45  166815[5:Res:146067.0,5259.0] || well_ordering(u,complement(cantor(v))) -> equal(segment(u,symmetric_difference(domain_of(v),cantor(v)),least(u,symmetric_difference(domain_of(v),cantor(v)))),identity_relation)**.
% 299.85/300.45  48808[5:Res:5403.2,22549.1] || well_ordering(u,complement(compose(element_relation,universal_class))) member(least(u,complement(compose(element_relation,universal_class))),element_relation)* -> equal(complement(compose(element_relation,universal_class)),identity_relation).
% 299.85/300.45  49004[5:Res:28061.2,22549.1] inductive(complement(compose(element_relation,universal_class))) || well_ordering(u,complement(compose(element_relation,universal_class))) member(least(u,complement(compose(element_relation,universal_class))),element_relation)* -> .
% 299.85/300.45  86337[5:Res:47693.0,5259.0] || well_ordering(u,intersection(complement(v),complement(w))) -> equal(segment(u,complement(union(v,w)),least(u,complement(union(v,w)))),identity_relation)**.
% 299.85/300.45  116868[5:Res:5404.2,8157.0] || well_ordering(u,universal_class) -> equal(symmetric_difference(complement(v),complement(w)),identity_relation) member(least(u,symmetric_difference(complement(v),complement(w))),union(v,w))*.
% 299.85/300.45  47791[5:MRR:27989.1,47782.0] || well_ordering(u,universal_class) -> equal(least(u,ordered_pair(v,w)),unordered_pair(v,singleton(w)))** equal(least(u,ordered_pair(v,w)),singleton(v)).
% 299.85/300.45  178335[0:SpR:120682.0,781.2] || member(cross_product(u,singleton(v)),universal_class) subclass(domain_relation,w) -> member(ordered_pair(cross_product(u,singleton(v)),segment(universal_class,u,v)),w)*.
% 299.85/300.45  37957[5:SpR:5337.2,779.1] || member(cross_product(u,v),universal_class) subclass(universal_class,w) -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),w)*.
% 299.85/300.45  40173[5:SpL:5337.2,40113.0] || member(cross_product(u,v),universal_class) subclass(universal_class,complement(unordered_pair(w,apply(choice,cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  40198[5:SpL:5337.2,40176.0] || member(cross_product(u,v),universal_class) equal(complement(unordered_pair(w,apply(choice,cross_product(u,v)))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  40186[5:SpL:5337.2,40120.0] || member(cross_product(u,v),universal_class) subclass(universal_class,complement(unordered_pair(apply(choice,cross_product(u,v)),w)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  40204[5:SpL:5337.2,40189.0] || member(cross_product(u,v),universal_class) equal(complement(unordered_pair(apply(choice,cross_product(u,v)),w)),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  30637[5:Rew:931.0,30558.1,931.0,30558.0] || member(symmetric_difference(u,inverse(u)),universal_class) -> equal(symmetric_difference(u,inverse(u)),identity_relation) member(apply(choice,symmetric_difference(u,inverse(u))),symmetrization_of(u))*.
% 299.85/300.45  30636[5:Rew:932.0,30559.1,932.0,30559.0] || member(symmetric_difference(u,singleton(u)),universal_class) -> equal(symmetric_difference(u,singleton(u)),identity_relation) member(apply(choice,symmetric_difference(u,singleton(u))),successor(u))*.
% 299.85/300.45  32922[5:Res:5330.2,29473.0] || member(intersection(u,domain_of(v)),universal_class) -> equal(intersection(u,domain_of(v)),identity_relation) member(apply(choice,intersection(u,domain_of(v))),cantor(v))*.
% 299.85/300.45  30601[5:Res:5330.2,25.1] || member(intersection(u,complement(v)),universal_class) member(apply(choice,intersection(u,complement(v))),v)* -> equal(intersection(u,complement(v)),identity_relation).
% 299.85/300.45  32907[5:Res:5331.2,29473.0] || member(intersection(domain_of(u),v),universal_class) -> equal(intersection(domain_of(u),v),identity_relation) member(apply(choice,intersection(domain_of(u),v)),cantor(u))*.
% 299.85/300.45  30707[5:Res:5331.2,25.1] || member(intersection(complement(u),v),universal_class) member(apply(choice,intersection(complement(u),v)),u)* -> equal(intersection(complement(u),v),identity_relation).
% 299.85/300.45  30706[5:Res:5331.2,2.0] || member(intersection(u,v),universal_class) subclass(u,w) -> equal(intersection(u,v),identity_relation) member(apply(choice,intersection(u,v)),w)*.
% 299.85/300.45  30600[5:Res:5330.2,2.0] || member(intersection(u,v),universal_class) subclass(v,w) -> equal(intersection(u,v),identity_relation) member(apply(choice,intersection(u,v)),w)*.
% 299.85/300.45  27427[5:Res:5216.2,22549.1] || member(complement(compose(element_relation,universal_class)),universal_class) member(apply(choice,complement(compose(element_relation,universal_class))),element_relation)* -> equal(complement(compose(element_relation,universal_class)),identity_relation).
% 299.85/300.45  116728[5:MRR:116680.0,29544.2] || member(complement(union(u,v)),universal_class) -> member(apply(choice,complement(union(u,v))),complement(u))* equal(complement(union(u,v)),identity_relation).
% 299.85/300.45  117115[5:MRR:117059.0,29544.2] || member(complement(union(u,v)),universal_class) -> member(apply(choice,complement(union(u,v))),complement(v))* equal(complement(union(u,v)),identity_relation).
% 299.85/300.45  114812[5:Res:5329.3,776.0] || member(u,universal_class) subclass(u,cantor(v))* subclass(domain_of(v),w)* -> equal(u,identity_relation) member(apply(choice,u),w)*.
% 299.85/300.45  116851[5:Res:5329.3,8157.0] || member(u,universal_class) subclass(u,symmetric_difference(complement(v),complement(w))) -> equal(u,identity_relation) member(apply(choice,u),union(v,w))*.
% 299.85/300.45  29508[5:MRR:29451.0,29469.1] || member(u,complement(intersection(singleton(identity_relation),image(successor_relation,universal_class))))* subclass(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),v)* -> member(u,v)*.
% 299.85/300.45  113715[5:Res:59.1,5322.1] || member(ordered_pair(u,regular(v)),compose(w,x)) subclass(v,complement(image(w,image(x,singleton(u)))))* -> equal(v,identity_relation).
% 299.85/300.45  89294[0:Res:45819.1,3524.1] || subclass(image(u,image(v,singleton(w))),cantor(x))* member(ordered_pair(w,y),compose(u,v))* -> member(y,domain_of(x))*.
% 299.85/300.45  116872[0:Res:827.3,8157.0] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(complement(w),complement(x))) -> member(image(u,v),union(w,x))*.
% 299.85/300.45  20538[0:SpL:579.0,588.0] || member(u,intersection(complement(v),power_class(intersection(complement(w),complement(x)))))* member(u,union(v,image(element_relation,union(w,x)))) -> .
% 299.85/300.45  20549[0:SpL:579.0,588.0] || member(u,intersection(power_class(intersection(complement(v),complement(w))),complement(x)))* member(u,union(image(element_relation,union(v,w)),x)) -> .
% 299.85/300.45  162529[0:Rew:579.0,162446.1] ||  -> member(not_subclass_element(u,power_class(intersection(complement(v),complement(w)))),image(element_relation,union(v,w)))* subclass(u,power_class(intersection(complement(v),complement(w)))).
% 299.85/300.45  153038[5:SpR:579.0,146648.0] ||  -> equal(intersection(power_class(intersection(complement(u),complement(v))),symmetric_difference(universal_class,image(element_relation,union(u,v)))),symmetric_difference(universal_class,image(element_relation,union(u,v))))**.
% 299.85/300.45  86421[0:SpR:579.0,86317.0] ||  -> subclass(complement(successor(image(element_relation,union(u,v)))),intersection(power_class(intersection(complement(u),complement(v))),complement(singleton(image(element_relation,union(u,v))))))*.
% 299.85/300.45  86377[0:SpR:579.0,86316.0] ||  -> subclass(complement(symmetrization_of(image(element_relation,union(u,v)))),intersection(power_class(intersection(complement(u),complement(v))),complement(inverse(image(element_relation,union(u,v))))))*.
% 299.85/300.45  8683[5:Rew:579.0,8673.1] || member(regular(power_class(intersection(complement(u),complement(v)))),image(element_relation,union(u,v)))* -> equal(power_class(intersection(complement(u),complement(v))),identity_relation).
% 299.85/300.45  50131[0:SpR:27.0,8660.0] ||  -> equal(power_class(intersection(union(u,v),complement(singleton(intersection(complement(u),complement(v)))))),complement(image(element_relation,successor(intersection(complement(u),complement(v))))))**.
% 299.85/300.45  50220[0:SpR:27.0,8659.0] ||  -> equal(power_class(intersection(union(u,v),complement(inverse(intersection(complement(u),complement(v)))))),complement(image(element_relation,symmetrization_of(intersection(complement(u),complement(v))))))**.
% 299.85/300.45  121472[5:Res:120735.0,5259.0] || well_ordering(u,image(universal_class,v)) -> equal(segment(u,cantor(inverse(cross_product(v,universal_class))),least(u,cantor(inverse(cross_product(v,universal_class))))),identity_relation)**.
% 299.85/300.45  26598[5:SpR:5392.2,59.1] || member(u,universal_class) member(ordered_pair(u,v),compose(w,x))* -> member(u,domain_of(x)) member(v,image(w,range_of(identity_relation))).
% 299.85/300.45  26606[5:SpL:5392.2,5197.1] || member(u,universal_class) member(identity_relation,singleton(u)) subclass(range_of(identity_relation),singleton(u))* -> member(u,domain_of(successor_relation)) inductive(singleton(u)).
% 299.85/300.45  5781[5:Rew:5180.0,5398.2] || member(u,image(v,range_of(identity_relation))) member(ordered_pair(w,u),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,u),compose(v,identity_relation))*.
% 299.85/300.45  26607[5:SpL:5392.2,5372.0] || member(u,universal_class) equal(range_of(identity_relation),singleton(u)) member(identity_relation,singleton(u))* -> member(u,domain_of(successor_relation))* inductive(singleton(u)).
% 299.85/300.45  105943[0:Res:821.1,126.0] || subclass(universal_class,cantor(inverse(u))) subclass(range_of(u),v)* well_ordering(w,v)* -> member(least(w,range_of(u)),range_of(u))*.
% 299.85/300.45  88928[0:Res:86994.1,3335.2] || equal(cantor(inverse(u)),cross_product(v,w))* member(x,w)* member(y,v)* -> member(ordered_pair(y,x),range_of(u))*.
% 299.85/300.45  189616[7:Rew:189431.0,179143.0] ||  -> equal(intersection(union(u,image(element_relation,singleton(identity_relation))),union(complement(u),power_class(complement(singleton(identity_relation))))),symmetric_difference(complement(u),power_class(complement(singleton(identity_relation)))))**.
% 299.85/300.45  189621[7:Rew:189431.0,179117.0] ||  -> equal(intersection(union(image(element_relation,singleton(identity_relation)),u),union(power_class(complement(singleton(identity_relation))),complement(u))),symmetric_difference(power_class(complement(singleton(identity_relation))),complement(u)))**.
% 299.85/300.45  191285[14:Res:178692.1,126.0] || equal(symmetric_difference(universal_class,u),omega) subclass(complement(u),v)* well_ordering(w,v)* -> member(least(w,complement(u)),complement(u))*.
% 299.85/300.45  192290[15:Res:191817.0,5259.0] || well_ordering(u,successor(range_of(identity_relation))) -> equal(segment(u,symmetric_difference(complement(range_of(identity_relation)),universal_class),least(u,symmetric_difference(complement(range_of(identity_relation)),universal_class))),identity_relation)**.
% 299.85/300.45  192804[14:Res:178685.1,126.0] || equal(cantor(inverse(u)),omega) subclass(range_of(u),v)* well_ordering(w,v)* -> member(least(w,range_of(u)),range_of(u))*.
% 299.85/300.45  194150[15:Res:192110.1,2599.1] || equal(complement(intersection(u,v)),singleton(singleton(identity_relation))) member(singleton(identity_relation),union(u,v)) -> member(singleton(identity_relation),symmetric_difference(u,v))*.
% 299.85/300.45  198073[17:Res:195614.1,1043.0] || subclass(domain_relation,ordered_pair(u,v))* -> equal(unordered_pair(u,singleton(v)),singleton(singleton(singleton(identity_relation)))) equal(singleton(singleton(singleton(identity_relation))),singleton(u)).
% 299.85/300.45  198054[17:Res:195614.1,18.0] || subclass(domain_relation,cross_product(u,v))* -> equal(ordered_pair(first(singleton(singleton(singleton(identity_relation)))),second(singleton(singleton(singleton(identity_relation))))),singleton(singleton(singleton(identity_relation))))**.
% 299.85/300.45  198248[15:Res:191738.0,5490.0] || subclass(ordered_pair(range_of(identity_relation),u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,ordered_pair(range_of(identity_relation),u)))),identity_relation)**.
% 299.85/300.45  198189[17:Res:195176.1,5490.0] || member(u,universal_class) subclass(domain_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(u,identity_relation),least(omega,domain_relation))),identity_relation)**.
% 299.85/300.45  198907[5:SpR:579.0,164613.0] ||  -> subclass(symmetric_difference(power_class(intersection(complement(u),complement(v))),symmetric_difference(universal_class,image(element_relation,union(u,v)))),union(image(element_relation,union(u,v)),identity_relation))*.
% 299.85/300.45  198969[5:Rew:26686.0,198883.0] ||  -> subclass(symmetric_difference(complement(intersection(singleton(identity_relation),image(successor_relation,universal_class))),symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))),complement(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))))*.
% 299.85/300.45  199936[15:Rew:191728.0,199920.1] || member(ordered_pair(range_of(identity_relation),not_subclass_element(u,image(v,image(w,identity_relation)))),compose(v,w))* -> subclass(u,image(v,image(w,identity_relation))).
% 299.85/300.45  200965[5:Rew:200704.1,200757.1] || equal(u,universal_class) asymmetric(v,identity_relation) -> inductive(u) equal(range__dfg(intersection(v,inverse(v)),u,identity_relation),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.85/300.45  201373[0:SpR:579.0,146221.1] || subclass(image(element_relation,union(u,v)),w) -> subclass(symmetric_difference(w,image(element_relation,union(u,v))),power_class(intersection(complement(u),complement(v))))*.
% 299.85/300.45  205826[5:SpL:5337.2,203693.0] || member(cross_product(u,v),universal_class) equal(complement(complement(singleton(apply(choice,cross_product(u,v))))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  206365[5:Res:201827.1,5490.0] || subclass(complement(u),identity_relation) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(w),least(omega,u))),identity_relation)**.
% 299.85/300.45  206436[12:EmS:5373.0,5373.1,8479.2,200705.1] single_valued_class(ordinal_add(u,v)) || equal(ordinal_add(u,v),identity_relation)** equal(ordinal_add(u,v),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.45  206663[5:Res:203299.1,5490.0] || equal(complement(u),identity_relation) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(w),least(omega,u))),identity_relation)**.
% 299.85/300.45  209047[17:Rew:208959.1,196479.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> equal(singleton(w),identity_relation) compatible(u,v,w)*.
% 299.85/300.45  209049[17:Rew:208959.1,196389.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> equal(integer_of(w),identity_relation) compatible(u,v,w)*.
% 299.85/300.45  209051[17:Rew:208959.1,196300.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> equal(w,identity_relation) compatible(u,v,regular(w))*.
% 299.85/300.45  209501[15:SpL:208959.1,209011.1] function(u) function(v) || subclass(range_of(v),domain_of(universal_class))* equal(domain_of(domain_of(w)),universal_class) -> compatible(v,w,u)*.
% 299.85/300.45  209897[17:SpL:209320.1,3524.1] function(u) || member(ordered_pair(u,v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* -> member(v,y)*.
% 299.85/300.45  210186[15:Rew:210176.1,36973.1] one_to_one(restrict(u,v,singleton(w))) || subclass(universal_class,x) -> maps(restrict(u,v,singleton(w)),segment(u,v,w),x)*.
% 299.85/300.45  210194[15:Rew:210178.2,28673.3] single_valued_class(inverse(u)) || subclass(range_of(inverse(u)),v) equal(cross_product(universal_class,universal_class),inverse(u)) -> maps(inverse(u),universal_class,v)*.
% 299.85/300.45  179025[5:SpR:122494.0,941.0] ||  -> equal(intersection(union(u,image(element_relation,symmetrization_of(identity_relation))),union(complement(u),power_class(complement(inverse(identity_relation))))),symmetric_difference(complement(u),power_class(complement(inverse(identity_relation)))))**.
% 299.85/300.45  178999[5:SpR:122494.0,941.0] ||  -> equal(intersection(union(image(element_relation,symmetrization_of(identity_relation)),u),union(power_class(complement(inverse(identity_relation))),complement(u))),symmetric_difference(power_class(complement(inverse(identity_relation))),complement(u)))**.
% 299.85/300.45  214255[0:Res:29726.0,8157.0] ||  -> subclass(complement(complement(symmetric_difference(complement(u),complement(v)))),w) member(not_subclass_element(complement(complement(symmetric_difference(complement(u),complement(v)))),w),union(u,v))*.
% 299.85/300.45  214538[17:Res:214356.1,5490.0] || equal(domain_relation,rest_relation) subclass(rest_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(ordered_pair(omega,identity_relation),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  214976[4:Res:212361.1,2599.1] || subclass(omega,complement(intersection(u,v))) member(least(element_relation,omega),union(u,v)) -> member(least(element_relation,omega),symmetric_difference(u,v))*.
% 299.85/300.45  214970[5:Res:212361.1,5490.0] || subclass(omega,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(least(element_relation,omega),least(omega,u))),identity_relation)**.
% 299.85/300.45  215125[20:Res:212523.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(regular(symmetrization_of(identity_relation)),union(u,v)) -> member(regular(symmetrization_of(identity_relation)),symmetric_difference(u,v))*.
% 299.85/300.45  215119[20:Res:212523.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(regular(symmetrization_of(identity_relation)),least(omega,u))),identity_relation)**.
% 299.85/300.45  215233[4:Res:212539.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(least(element_relation,omega),union(u,v)) -> member(least(element_relation,omega),symmetric_difference(u,v))*.
% 299.85/300.45  215227[5:Res:212539.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(least(element_relation,omega),least(omega,u))),identity_relation)**.
% 299.85/300.45  216479[17:Res:216461.1,5490.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(ordered_pair(identity_relation,identity_relation),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  217491[5:Res:203760.1,126.0] || equal(union(u,identity_relation),identity_relation) subclass(complement(u),v)* well_ordering(w,v)* -> member(least(w,complement(u)),complement(u))*.
% 299.85/300.45  217759[5:SpL:122711.0,588.0] || member(u,intersection(complement(v),union(w,symmetric_difference(universal_class,x))))* member(u,union(v,intersection(complement(w),union(x,identity_relation)))) -> .
% 299.85/300.45  217753[5:SpL:122711.0,588.0] || member(u,intersection(union(v,symmetric_difference(universal_class,w)),complement(x)))* member(u,union(intersection(complement(v),union(w,identity_relation)),x)) -> .
% 299.85/300.45  217645[5:SpR:122711.0,684.1] || member(u,universal_class) -> member(u,image(element_relation,union(v,symmetric_difference(universal_class,w))))* member(u,power_class(intersection(complement(v),union(w,identity_relation)))).
% 299.85/300.45  217607[5:SpR:122711.0,9004.0] ||  -> subclass(symmetric_difference(union(u,symmetric_difference(universal_class,v)),complement(inverse(intersection(complement(u),union(v,identity_relation))))),symmetrization_of(intersection(complement(u),union(v,identity_relation))))*.
% 299.85/300.45  217592[5:SpR:122711.0,9005.0] ||  -> subclass(symmetric_difference(union(u,symmetric_difference(universal_class,v)),complement(singleton(intersection(complement(u),union(v,identity_relation))))),successor(intersection(complement(u),union(v,identity_relation))))*.
% 299.85/300.45  217820[5:Rew:217605.0,217630.0] ||  -> subclass(symmetric_difference(union(u,symmetric_difference(universal_class,v)),intersection(union(u,symmetric_difference(universal_class,v)),universal_class)),union(intersection(complement(u),union(v,identity_relation)),identity_relation))*.
% 299.85/300.45  217822[5:Rew:122711.0,217724.1] || member(not_subclass_element(union(u,symmetric_difference(universal_class,v)),w),intersection(complement(u),union(v,identity_relation)))* -> subclass(union(u,symmetric_difference(universal_class,v)),w).
% 299.85/300.45  217823[5:Rew:122711.0,217599.1] ||  -> member(regular(complement(union(u,symmetric_difference(universal_class,v)))),intersection(complement(u),union(v,identity_relation)))* equal(complement(union(u,symmetric_difference(universal_class,v))),identity_relation).
% 299.85/300.45  218357[5:SpL:122708.0,588.0] || member(u,intersection(complement(v),union(symmetric_difference(universal_class,w),x)))* member(u,union(v,intersection(union(w,identity_relation),complement(x)))) -> .
% 299.85/300.45  218351[5:SpL:122708.0,588.0] || member(u,intersection(union(symmetric_difference(universal_class,v),w),complement(x)))* member(u,union(intersection(union(v,identity_relation),complement(w)),x)) -> .
% 299.85/300.45  218242[5:SpR:122708.0,684.1] || member(u,universal_class) -> member(u,image(element_relation,union(symmetric_difference(universal_class,v),w)))* member(u,power_class(intersection(union(v,identity_relation),complement(w)))).
% 299.85/300.45  218204[5:SpR:122708.0,9004.0] ||  -> subclass(symmetric_difference(union(symmetric_difference(universal_class,u),v),complement(inverse(intersection(union(u,identity_relation),complement(v))))),symmetrization_of(intersection(union(u,identity_relation),complement(v))))*.
% 299.85/300.45  218189[5:SpR:122708.0,9005.0] ||  -> subclass(symmetric_difference(union(symmetric_difference(universal_class,u),v),complement(singleton(intersection(union(u,identity_relation),complement(v))))),successor(intersection(union(u,identity_relation),complement(v))))*.
% 299.85/300.45  218414[5:Rew:218202.0,218227.0] ||  -> subclass(symmetric_difference(union(symmetric_difference(universal_class,u),v),intersection(union(symmetric_difference(universal_class,u),v),universal_class)),union(intersection(union(u,identity_relation),complement(v)),identity_relation))*.
% 299.85/300.45  218416[5:Rew:122708.0,218321.1] || member(not_subclass_element(union(symmetric_difference(universal_class,u),v),w),intersection(union(u,identity_relation),complement(v)))* -> subclass(union(symmetric_difference(universal_class,u),v),w).
% 299.85/300.45  218417[5:Rew:122708.0,218196.1] ||  -> member(regular(complement(union(symmetric_difference(universal_class,u),v))),intersection(union(u,identity_relation),complement(v)))* equal(complement(union(symmetric_difference(universal_class,u),v)),identity_relation).
% 299.85/300.45  221736[12:SpL:9093.0,168537.2] || member(u,universal_class)* member(restrict(cross_product(v,universal_class),w,x),universal_class)* equal(sum_class(image(cross_product(w,x),v)),u)* -> .
% 299.85/300.45  221978[0:MRR:221908.0,29531.1] ||  -> member(not_subclass_element(u,intersection(intersection(complement(v),complement(w)),u)),union(v,w))* subclass(u,intersection(intersection(complement(v),complement(w)),u)).
% 299.85/300.45  222301[5:Res:5330.2,222174.0] || member(intersection(u,symmetrization_of(identity_relation)),universal_class) -> equal(intersection(u,symmetrization_of(identity_relation)),identity_relation) member(apply(choice,intersection(u,symmetrization_of(identity_relation))),inverse(identity_relation))*.
% 299.85/300.45  222285[5:Res:5331.2,222174.0] || member(intersection(symmetrization_of(identity_relation),u),universal_class) -> equal(intersection(symmetrization_of(identity_relation),u),identity_relation) member(apply(choice,intersection(symmetrization_of(identity_relation),u)),inverse(identity_relation))*.
% 299.85/300.45  223117[5:Res:223091.1,5490.0] || equal(complement(u),identity_relation) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,u))),identity_relation)**.
% 299.85/300.45  224722[17:Res:195279.2,126.0] || member(u,universal_class)* equal(successor(u),identity_relation) subclass(successor_relation,v) well_ordering(w,v)* -> member(least(w,successor_relation),successor_relation)*.
% 299.85/300.45  224794[0:SpL:8660.0,7571.2] || member(intersection(complement(u),complement(singleton(u))),universal_class)* subclass(universal_class,complement(v)) member(complement(image(element_relation,successor(u))),v)* -> .
% 299.85/300.45  224793[0:SpL:8659.0,7571.2] || member(intersection(complement(u),complement(inverse(u))),universal_class)* subclass(universal_class,complement(v)) member(complement(image(element_relation,symmetrization_of(u))),v)* -> .
% 299.85/300.45  224918[0:SpL:579.0,149331.0] || subclass(universal_class,intersection(power_class(intersection(complement(u),complement(v))),complement(w)))* member(omega,union(image(element_relation,union(u,v)),w)) -> .
% 299.85/300.45  224907[5:SpL:122711.0,149331.0] || subclass(universal_class,intersection(union(u,symmetric_difference(universal_class,v)),complement(w))) member(omega,union(intersection(complement(u),union(v,identity_relation)),w))* -> .
% 299.85/300.45  224905[5:SpL:122708.0,149331.0] || subclass(universal_class,intersection(union(symmetric_difference(universal_class,u),v),complement(w))) member(omega,union(intersection(union(u,identity_relation),complement(v)),w))* -> .
% 299.85/300.45  224895[0:SpL:579.0,149331.0] || subclass(universal_class,intersection(complement(u),power_class(intersection(complement(v),complement(w)))))* member(omega,union(u,image(element_relation,union(v,w)))) -> .
% 299.85/300.45  224884[5:SpL:122711.0,149331.0] || subclass(universal_class,intersection(complement(u),union(v,symmetric_difference(universal_class,w)))) member(omega,union(u,intersection(complement(v),union(w,identity_relation))))* -> .
% 299.85/300.45  224882[5:SpL:122708.0,149331.0] || subclass(universal_class,intersection(complement(u),union(symmetric_difference(universal_class,v),w))) member(omega,union(u,intersection(union(v,identity_relation),complement(w))))* -> .
% 299.85/300.45  225424[5:Res:223085.1,2599.1] || equal(complement(complement(complement(intersection(u,v)))),universal_class)** member(power_class(identity_relation),union(u,v)) -> member(power_class(identity_relation),symmetric_difference(u,v)).
% 299.85/300.45  225947[5:Rew:5381.1,225946.2] || member(apply(choice,u),unordered_pair(v,u))* -> equal(regular(unordered_pair(v,u)),v) equal(u,identity_relation) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.45  225949[5:Rew:5381.2,225948.2] || member(apply(choice,u),unordered_pair(u,v))* -> equal(regular(unordered_pair(u,v)),v) equal(u,identity_relation) equal(unordered_pair(u,v),identity_relation).
% 299.85/300.45  226107[14:SpL:2089.1,202185.0] || subclass(omega,not_subclass_element(cross_product(u,v),w)) -> subclass(cross_product(u,v),w) equal(singleton(first(not_subclass_element(cross_product(u,v),w))),identity_relation)**.
% 299.85/300.45  226118[14:SpL:2089.1,202186.0] || equal(not_subclass_element(cross_product(u,v),w),omega) -> subclass(cross_product(u,v),w) equal(singleton(first(not_subclass_element(cross_product(u,v),w))),identity_relation)**.
% 299.85/300.45  226712[0:SpL:930.0,7572.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(intersection(v,w)),union(v,w)))* -> member(power_class(u),complement(symmetric_difference(v,w)))*.
% 299.85/300.45  227133[0:Rew:123.0,227056.1] || member(not_subclass_element(complement(segment(u,v,w)),x),cantor(restrict(u,v,singleton(w))))* -> subclass(complement(segment(u,v,w)),x).
% 299.85/300.45  227328[5:Res:227239.0,5215.0] || well_ordering(u,complement(intersection(sum_class(v),universal_class))) -> equal(complement(sum_class(v)),identity_relation) member(least(u,complement(sum_class(v))),complement(sum_class(v)))*.
% 299.85/300.45  227327[5:Res:227239.0,3692.1] inductive(complement(sum_class(u))) || well_ordering(v,complement(intersection(sum_class(u),universal_class))) -> member(least(v,complement(sum_class(u))),complement(sum_class(u)))*.
% 299.85/300.45  227361[5:Res:227240.0,5215.0] || well_ordering(u,complement(intersection(inverse(v),universal_class))) -> equal(complement(inverse(v)),identity_relation) member(least(u,complement(inverse(v))),complement(inverse(v)))*.
% 299.85/300.45  227360[5:Res:227240.0,3692.1] inductive(complement(inverse(u))) || well_ordering(v,complement(intersection(inverse(u),universal_class))) -> member(least(v,complement(inverse(u))),complement(inverse(u)))*.
% 299.85/300.45  227385[5:Res:8836.1,126.0] || subclass(symmetrization_of(u),v)* well_ordering(w,v)* -> equal(symmetric_difference(u,inverse(u)),identity_relation) member(least(w,symmetrization_of(u)),symmetrization_of(u))*.
% 299.85/300.45  227427[9:Res:227422.0,126.0] || subclass(symmetric_difference(inverse(identity_relation),universal_class),u)* well_ordering(v,u)* -> member(least(v,symmetric_difference(inverse(identity_relation),universal_class)),symmetric_difference(inverse(identity_relation),universal_class))*.
% 299.85/300.45  227426[9:Res:227422.0,5490.0] || subclass(symmetric_difference(inverse(identity_relation),universal_class),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,symmetric_difference(inverse(identity_relation),universal_class)))),identity_relation)**.
% 299.85/300.45  227511[5:Res:943.1,5602.0] || member(regular(intersection(complement(complement(intersection(u,v))),w)),symmetric_difference(u,v))* -> equal(intersection(complement(complement(intersection(u,v))),w),identity_relation).
% 299.85/300.45  227929[5:Res:943.1,5577.0] || member(regular(intersection(u,complement(complement(intersection(v,w))))),symmetric_difference(v,w))* -> equal(intersection(u,complement(complement(intersection(v,w)))),identity_relation).
% 299.85/300.45  228655[5:Res:8902.1,126.0] || subclass(successor(u),v)* well_ordering(w,v)* -> equal(symmetric_difference(u,singleton(u)),identity_relation) member(least(w,successor(u)),successor(u))*.
% 299.85/300.45  228723[5:Res:943.1,8086.1] || member(unordered_pair(u,v),symmetric_difference(w,x))* subclass(universal_class,regular(complement(intersection(w,x)))) -> equal(complement(intersection(w,x)),identity_relation).
% 299.85/300.45  228788[5:MRR:228741.3,204351.2] || member(unordered_pair(u,v),cross_product(w,x))* member(unordered_pair(u,v),y)* subclass(universal_class,regular(restrict(y,w,x)))* -> .
% 299.85/300.45  228946[0:SpL:930.0,7607.1] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(intersection(v,w)),union(v,w)))* -> member(sum_class(u),complement(symmetric_difference(v,w)))*.
% 299.85/300.45  230143[5:Rew:5381.1,230142.2] || member(not_subclass_element(u,v),unordered_pair(w,u))* -> equal(regular(unordered_pair(w,u)),w) subclass(u,v) equal(unordered_pair(w,u),identity_relation).
% 299.85/300.45  230145[5:Rew:5381.2,230144.2] || member(not_subclass_element(u,v),unordered_pair(u,w))* -> equal(regular(unordered_pair(u,w)),w) subclass(u,v) equal(unordered_pair(u,w),identity_relation).
% 299.85/300.45  230303[0:Res:24.2,8431.1] || member(not_subclass_element(u,v),w)* member(not_subclass_element(u,v),x)* subclass(u,complement(intersection(x,w)))* -> subclass(u,v).
% 299.85/300.45  230422[7:Res:230400.0,5215.0] || well_ordering(u,singleton(identity_relation)) -> equal(regular(complement(singleton(identity_relation))),identity_relation) member(least(u,regular(complement(singleton(identity_relation)))),regular(complement(singleton(identity_relation))))*.
% 299.85/300.45  230421[7:Res:230400.0,3692.1] inductive(regular(complement(singleton(identity_relation)))) || well_ordering(u,singleton(identity_relation)) -> member(least(u,regular(complement(singleton(identity_relation)))),regular(complement(singleton(identity_relation))))*.
% 299.85/300.45  230437[9:Res:230401.0,5215.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(regular(complement(inverse(identity_relation))),identity_relation) member(least(u,regular(complement(inverse(identity_relation)))),regular(complement(inverse(identity_relation))))*.
% 299.85/300.45  231351[5:Res:3364.1,5318.0] || member(restrict(u,v,w),universal_class) -> equal(sum_class(restrict(u,v,w)),identity_relation) member(regular(sum_class(restrict(u,v,w))),u)*.
% 299.85/300.45  231364[5:MRR:231357.2,5247.1] || connected(u,restrict(v,w,x)) -> well_ordering(u,restrict(v,w,x)) member(regular(not_well_ordering(u,restrict(v,w,x))),v)*.
% 299.85/300.45  231579[0:SpL:930.0,8432.0] || subclass(u,symmetric_difference(complement(intersection(v,w)),union(v,w)))* -> subclass(u,x) member(not_subclass_element(u,x),complement(symmetric_difference(v,w)))*.
% 299.85/300.45  232340[0:Res:601.1,595.0] ||  -> subclass(restrict(restrict(u,v,w),x,y),z) member(not_subclass_element(restrict(restrict(u,v,w),x,y),z),cross_product(v,w))*.
% 299.85/300.45  233148[5:SpL:5337.2,233078.0] || member(cross_product(u,v),universal_class) equal(complement(regular(singleton(apply(choice,cross_product(u,v))))),identity_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  233398[5:Res:230404.0,720.1] function(complement(singleton(cross_product(universal_class,universal_class)))) ||  -> equal(singleton(cross_product(universal_class,universal_class)),identity_relation) equal(complement(singleton(cross_product(universal_class,universal_class))),cross_product(universal_class,universal_class))**.
% 299.85/300.45  233788[15:Rew:233634.0,233647.2] || equal(compose(u,v),sum_class(range_of(identity_relation))) member(ordered_pair(v,universal_class),cross_product(universal_class,universal_class))* -> member(ordered_pair(v,universal_class),compose_class(u))*.
% 299.85/300.45  233789[15:Rew:233634.0,233654.2] || subclass(ordered_pair(u,universal_class),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(unordered_pair(u,identity_relation),least(omega,ordered_pair(u,universal_class)))),identity_relation)**.
% 299.85/300.45  233955[5:Res:29474.1,28903.1] || member(singleton(cantor(inverse(u))),range_of(u))* member(cantor(inverse(u)),universal_class) -> member(singleton(singleton(singleton(cantor(inverse(u))))),element_relation)*.
% 299.85/300.45  233948[5:Res:118490.1,28903.1] || member(singleton(symmetric_difference(universal_class,u)),complement(u))* member(symmetric_difference(universal_class,u),universal_class) -> member(singleton(singleton(singleton(symmetric_difference(universal_class,u)))),element_relation)*.
% 299.85/300.45  233944[5:Res:165860.0,28903.1] || member(complement(inverse(identity_relation)),universal_class) -> subclass(singleton(singleton(complement(inverse(identity_relation)))),symmetrization_of(identity_relation)) member(singleton(singleton(singleton(complement(inverse(identity_relation))))),element_relation)*.
% 299.85/300.45  233942[7:Res:189491.0,28903.1] || member(complement(singleton(identity_relation)),universal_class) -> subclass(singleton(singleton(complement(singleton(identity_relation)))),singleton(identity_relation)) member(singleton(singleton(singleton(complement(singleton(identity_relation))))),element_relation)*.
% 299.85/300.45  234004[7:Res:233415.0,126.0] || subclass(complement(singleton(singleton(identity_relation))),u)* well_ordering(v,u)* -> member(least(v,complement(singleton(singleton(identity_relation)))),complement(singleton(singleton(identity_relation))))*.
% 299.85/300.45  234003[7:Res:233415.0,5490.0] || subclass(complement(singleton(singleton(identity_relation))),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(singleton(singleton(identity_relation)))))),identity_relation)**.
% 299.85/300.45  234229[17:MRR:234183.0,234183.3,5265.0,641.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(v,u),identity_relation),w)* subclass(domain_relation,complement(flip(w))) -> .
% 299.85/300.45  234230[17:MRR:234182.0,234182.3,5265.0,641.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(v,identity_relation),u),w)* subclass(domain_relation,complement(rotate(w))) -> .
% 299.85/300.45  234805[5:Rew:122494.0,234790.2] || subclass(omega,image(element_relation,symmetrization_of(identity_relation))) -> equal(integer_of(not_subclass_element(power_class(complement(inverse(identity_relation))),u)),identity_relation)** subclass(power_class(complement(inverse(identity_relation))),u).
% 299.85/300.45  234806[7:Rew:189471.0,234788.2] || subclass(omega,image(element_relation,singleton(identity_relation))) -> equal(integer_of(not_subclass_element(power_class(complement(singleton(identity_relation))),u)),identity_relation)** subclass(power_class(complement(singleton(identity_relation))),u).
% 299.85/300.45  234966[5:MRR:234884.0,29544.2] || member(complement(domain_of(u)),universal_class) -> equal(apply(u,apply(choice,complement(domain_of(u)))),sum_class(range_of(identity_relation)))** equal(complement(domain_of(u)),identity_relation).
% 299.85/300.45  235230[5:Rew:122494.0,235181.2] || well_ordering(u,universal_class) member(least(u,power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation)))* -> equal(power_class(complement(inverse(identity_relation))),identity_relation).
% 299.85/300.45  235231[7:Rew:189471.0,235179.2] || well_ordering(u,universal_class) member(least(u,power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation)))* -> equal(power_class(complement(singleton(identity_relation))),identity_relation).
% 299.85/300.45  235659[0:Res:20387.1,588.0] || subclass(rest_relation,rotate(intersection(complement(u),complement(v)))) member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),union(u,v))* -> .
% 299.85/300.45  235775[0:Res:20388.1,588.0] || subclass(rest_relation,flip(intersection(complement(u),complement(v)))) member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),union(u,v))* -> .
% 299.85/300.45  235942[5:Res:5462.2,7606.2] || subclass(omega,symmetric_difference(u,v)) member(w,universal_class) subclass(universal_class,complement(union(u,v)))* -> equal(integer_of(sum_class(w)),identity_relation)**.
% 299.85/300.45  235940[5:Res:5462.2,7571.2] || subclass(omega,symmetric_difference(u,v)) member(w,universal_class) subclass(universal_class,complement(union(u,v)))* -> equal(integer_of(power_class(w)),identity_relation)**.
% 299.85/300.45  235939[5:Res:5462.2,8431.1] || subclass(omega,symmetric_difference(u,v)) subclass(w,complement(union(u,v)))* -> equal(integer_of(not_subclass_element(w,x)),identity_relation)** subclass(w,x).
% 299.85/300.45  236146[0:Obv:236135.1] || subclass(unordered_pair(u,v),omega) -> equal(not_subclass_element(unordered_pair(u,v),w),u)** subclass(unordered_pair(u,v),w) equal(integer_of(v),v).
% 299.85/300.45  236147[0:Obv:236134.1] || subclass(unordered_pair(u,v),omega) -> equal(not_subclass_element(unordered_pair(u,v),w),v)** subclass(unordered_pair(u,v),w) equal(integer_of(u),u).
% 299.85/300.45  236526[5:Rew:122494.0,236422.1] || member(not_subclass_element(intersection(u,power_class(complement(inverse(identity_relation)))),v),image(element_relation,symmetrization_of(identity_relation)))* -> subclass(intersection(u,power_class(complement(inverse(identity_relation)))),v).
% 299.85/300.45  236527[7:Rew:189471.0,236420.1] || member(not_subclass_element(intersection(u,power_class(complement(singleton(identity_relation)))),v),image(element_relation,singleton(identity_relation)))* -> subclass(intersection(u,power_class(complement(singleton(identity_relation)))),v).
% 299.85/300.45  236923[5:Rew:122494.0,236795.1] || member(not_subclass_element(intersection(power_class(complement(inverse(identity_relation))),u),v),image(element_relation,symmetrization_of(identity_relation)))* -> subclass(intersection(power_class(complement(inverse(identity_relation))),u),v).
% 299.85/300.45  236924[7:Rew:189471.0,236793.1] || member(not_subclass_element(intersection(power_class(complement(singleton(identity_relation))),u),v),image(element_relation,singleton(identity_relation)))* -> subclass(intersection(power_class(complement(singleton(identity_relation))),u),v).
% 299.85/300.45  237002[5:SpL:5337.2,235499.0] || member(cross_product(u,v),universal_class) subclass(universal_class,complement(complement(singleton(apply(choice,cross_product(u,v))))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  237201[5:SpL:5337.2,232830.0] || member(cross_product(u,v),universal_class) subclass(universal_class,regular(unordered_pair(w,apply(choice,cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  237228[5:SpL:5337.2,233155.0] || member(cross_product(u,v),universal_class) subclass(universal_class,regular(unordered_pair(apply(choice,cross_product(u,v)),w)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  237352[5:Res:5580.1,776.0] || subclass(domain_of(u),v) -> equal(intersection(w,intersection(x,cantor(u))),identity_relation) member(regular(intersection(w,intersection(x,cantor(u)))),v)*.
% 299.85/300.45  237344[5:Res:5580.1,8834.0] ||  -> equal(intersection(u,intersection(v,symmetric_difference(w,inverse(w)))),identity_relation) member(regular(intersection(u,intersection(v,symmetric_difference(w,inverse(w))))),symmetrization_of(w))*.
% 299.85/300.45  237343[5:Res:5580.1,8898.0] ||  -> equal(intersection(u,intersection(v,symmetric_difference(w,singleton(w)))),identity_relation) member(regular(intersection(u,intersection(v,symmetric_difference(w,singleton(w))))),successor(w))*.
% 299.85/300.45  237337[5:Res:5580.1,8165.1] || member(regular(intersection(u,intersection(v,intersection(w,x)))),symmetric_difference(w,x))* -> equal(intersection(u,intersection(v,intersection(w,x))),identity_relation).
% 299.85/300.45  237945[5:Res:5581.1,776.0] || subclass(domain_of(u),v) -> equal(intersection(w,intersection(cantor(u),x)),identity_relation) member(regular(intersection(w,intersection(cantor(u),x))),v)*.
% 299.85/300.45  237937[5:Res:5581.1,8834.0] ||  -> equal(intersection(u,intersection(symmetric_difference(v,inverse(v)),w)),identity_relation) member(regular(intersection(u,intersection(symmetric_difference(v,inverse(v)),w))),symmetrization_of(v))*.
% 299.85/300.45  237936[5:Res:5581.1,8898.0] ||  -> equal(intersection(u,intersection(symmetric_difference(v,singleton(v)),w)),identity_relation) member(regular(intersection(u,intersection(symmetric_difference(v,singleton(v)),w))),successor(v))*.
% 299.85/300.45  237930[5:Res:5581.1,8165.1] || member(regular(intersection(u,intersection(intersection(v,w),x))),symmetric_difference(v,w))* -> equal(intersection(u,intersection(intersection(v,w),x)),identity_relation).
% 299.85/300.45  238741[5:Res:5605.1,776.0] || subclass(domain_of(u),v) -> equal(intersection(intersection(w,cantor(u)),x),identity_relation) member(regular(intersection(intersection(w,cantor(u)),x)),v)*.
% 299.85/300.45  238733[5:Res:5605.1,8834.0] ||  -> equal(intersection(intersection(u,symmetric_difference(v,inverse(v))),w),identity_relation) member(regular(intersection(intersection(u,symmetric_difference(v,inverse(v))),w)),symmetrization_of(v))*.
% 299.85/300.45  238732[5:Res:5605.1,8898.0] ||  -> equal(intersection(intersection(u,symmetric_difference(v,singleton(v))),w),identity_relation) member(regular(intersection(intersection(u,symmetric_difference(v,singleton(v))),w)),successor(v))*.
% 299.85/300.45  238726[5:Res:5605.1,8165.1] || member(regular(intersection(intersection(u,intersection(v,w)),x)),symmetric_difference(v,w))* -> equal(intersection(intersection(u,intersection(v,w)),x),identity_relation).
% 299.85/300.45  239535[5:Res:5606.1,776.0] || subclass(domain_of(u),v) -> equal(intersection(intersection(cantor(u),w),x),identity_relation) member(regular(intersection(intersection(cantor(u),w),x)),v)*.
% 299.85/300.45  239527[5:Res:5606.1,8834.0] ||  -> equal(intersection(intersection(symmetric_difference(u,inverse(u)),v),w),identity_relation) member(regular(intersection(intersection(symmetric_difference(u,inverse(u)),v),w)),symmetrization_of(u))*.
% 299.85/300.45  239526[5:Res:5606.1,8898.0] ||  -> equal(intersection(intersection(symmetric_difference(u,singleton(u)),v),w),identity_relation) member(regular(intersection(intersection(symmetric_difference(u,singleton(u)),v),w)),successor(u))*.
% 299.85/300.45  239520[5:Res:5606.1,8165.1] || member(regular(intersection(intersection(intersection(u,v),w),x)),symmetric_difference(u,v))* -> equal(intersection(intersection(intersection(u,v),w),x),identity_relation).
% 299.85/300.45  240347[5:Res:5604.2,588.0] || subclass(u,intersection(complement(v),complement(w))) member(regular(intersection(u,x)),union(v,w))* -> equal(intersection(u,x),identity_relation).
% 299.85/300.45  240336[5:Res:5604.2,126.0] || subclass(u,v)* subclass(v,w)* well_ordering(x,w)* -> equal(intersection(u,y),identity_relation)** member(least(x,v),v)*.
% 299.85/300.45  240940[5:Res:5579.2,588.0] || subclass(u,intersection(complement(v),complement(w))) member(regular(intersection(x,u)),union(v,w))* -> equal(intersection(x,u),identity_relation).
% 299.85/300.45  240929[5:Res:5579.2,126.0] || subclass(u,v)* subclass(v,w)* well_ordering(x,w)* -> equal(intersection(y,u),identity_relation)** member(least(x,v),v)*.
% 299.85/300.45  241385[5:Obv:241348.2] || equal(u,v) subclass(unordered_pair(v,u),symmetric_difference(w,x))* -> equal(unordered_pair(v,u),identity_relation) member(v,union(w,x)).
% 299.85/300.45  241542[5:Res:46090.0,5316.0] || subclass(range_of(u),v) -> equal(restrict(cantor(inverse(u)),w,x),identity_relation) member(regular(restrict(cantor(inverse(u)),w,x)),v)*.
% 299.85/300.45  241526[5:Res:160697.0,5316.0] || subclass(segment(universal_class,u,v),w) -> equal(cantor(cross_product(u,singleton(v))),identity_relation) member(regular(cantor(cross_product(u,singleton(v)))),w)*.
% 299.85/300.45  241509[5:Res:122509.1,5316.0] || connected(u,v)* subclass(complement(complement(symmetrization_of(u))),w)* -> equal(cross_product(v,v),identity_relation) member(regular(cross_product(v,v)),w)*.
% 299.85/300.45  241477[5:Res:9004.0,5316.0] || subclass(symmetrization_of(u),v) -> equal(symmetric_difference(complement(u),complement(inverse(u))),identity_relation) member(regular(symmetric_difference(complement(u),complement(inverse(u)))),v)*.
% 299.85/300.45  241475[5:Res:9005.0,5316.0] || subclass(successor(u),v) -> equal(symmetric_difference(complement(u),complement(singleton(u))),identity_relation) member(regular(symmetric_difference(complement(u),complement(singleton(u)))),v)*.
% 299.85/300.45  241782[5:SpR:122711.0,8335.1] ||  -> subclass(symmetric_difference(complement(u),union(v,identity_relation)),w) member(not_subclass_element(symmetric_difference(complement(u),union(v,identity_relation)),w),union(u,symmetric_difference(universal_class,v)))*.
% 299.85/300.45  241780[5:SpR:122708.0,8335.1] ||  -> subclass(symmetric_difference(union(u,identity_relation),complement(v)),w) member(not_subclass_element(symmetric_difference(union(u,identity_relation),complement(v)),w),union(symmetric_difference(universal_class,u),v))*.
% 299.85/300.45  241963[5:SpL:5337.2,237209.0] || member(cross_product(u,v),universal_class) equal(regular(unordered_pair(w,apply(choice,cross_product(u,v)))),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  241977[5:SpL:5337.2,237236.0] || member(cross_product(u,v),universal_class) equal(regular(unordered_pair(apply(choice,cross_product(u,v)),w)),universal_class)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  242018[0:Res:122671.0,8150.0] ||  -> subclass(u,complement(symmetric_difference(cross_product(v,w),x))) member(not_subclass_element(u,complement(symmetric_difference(cross_product(v,w),x))),complement(restrict(x,v,w)))*.
% 299.85/300.45  242015[0:Res:780.2,8150.0] || member(u,universal_class) subclass(rest_relation,symmetric_difference(cross_product(v,w),x)) -> member(ordered_pair(u,rest_of(u)),complement(restrict(x,v,w)))*.
% 299.85/300.45  242164[5:SpL:242089.0,3524.1] || member(ordered_pair(u,v),compose(complement(cross_product(image(w,singleton(u)),universal_class)),w))* subclass(range_of(identity_relation),x)* -> member(v,x)*.
% 299.85/300.45  242159[5:SpL:242089.0,3524.1] || member(ordered_pair(u,v),compose(w,complement(cross_product(singleton(u),universal_class))))* subclass(image(w,range_of(identity_relation)),x)* -> member(v,x)*.
% 299.85/300.45  242290[0:Res:122671.0,8147.0] ||  -> subclass(u,complement(symmetric_difference(v,cross_product(w,x)))) member(not_subclass_element(u,complement(symmetric_difference(v,cross_product(w,x)))),complement(restrict(v,w,x)))*.
% 299.85/300.45  242287[0:Res:780.2,8147.0] || member(u,universal_class) subclass(rest_relation,symmetric_difference(v,cross_product(w,x))) -> member(ordered_pair(u,rest_of(u)),complement(restrict(v,w,x)))*.
% 299.85/300.45  242412[0:Res:780.2,756.0] || member(u,universal_class) subclass(rest_relation,cantor(restrict(v,w,singleton(x)))) -> member(ordered_pair(u,rest_of(u)),segment(v,w,x))*.
% 299.85/300.45  247221[5:SpR:124149.0,21037.0] ||  -> equal(intersection(successor(complement(inverse(identity_relation))),union(symmetrization_of(identity_relation),complement(singleton(complement(inverse(identity_relation)))))),symmetric_difference(symmetrization_of(identity_relation),complement(singleton(complement(inverse(identity_relation))))))**.
% 299.85/300.45  247220[7:SpR:189445.0,21037.0] ||  -> equal(intersection(successor(complement(singleton(identity_relation))),union(singleton(identity_relation),complement(singleton(complement(singleton(identity_relation)))))),symmetric_difference(singleton(identity_relation),complement(singleton(complement(singleton(identity_relation))))))**.
% 299.85/300.45  247207[0:SpR:21037.0,24.2] || member(u,union(complement(v),complement(singleton(v)))) member(u,successor(v)) -> member(u,symmetric_difference(complement(v),complement(singleton(v))))*.
% 299.85/300.45  247325[5:Rew:21037.0,247205.0] ||  -> equal(intersection(u,symmetric_difference(complement(v),complement(singleton(v)))),identity_relation) member(regular(intersection(u,symmetric_difference(complement(v),complement(singleton(v))))),successor(v))*.
% 299.85/300.45  247326[5:Rew:21037.0,247193.0] ||  -> equal(intersection(symmetric_difference(complement(u),complement(singleton(u))),v),identity_relation) member(regular(intersection(symmetric_difference(complement(u),complement(singleton(u))),v)),successor(u))*.
% 299.85/300.45  247894[5:Res:106230.1,20349.2] || member(u,universal_class) subclass(rest_relation,complement(sum_class(singleton(ordered_pair(u,rest_of(u))))))* -> equal(sum_class(singleton(ordered_pair(u,rest_of(u)))),identity_relation).
% 299.85/300.45  248262[7:Res:248247.0,126.0] || subclass(union(u,singleton(identity_relation)),v)* well_ordering(w,v)* -> member(least(w,union(u,singleton(identity_relation))),union(u,singleton(identity_relation)))*.
% 299.85/300.45  248261[7:Res:248247.0,5490.0] || subclass(union(u,singleton(identity_relation)),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,union(u,singleton(identity_relation))))),identity_relation)**.
% 299.85/300.45  248362[0:SpL:20365.2,8435.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) subclass(w,rest_of(u))* -> subclass(w,x) member(not_subclass_element(w,x),v)*.
% 299.85/300.45  248597[5:Rew:122359.0,248539.1,122360.0,248539.1] || equal(range_of(u),universal_class) -> equal(intersection(symmetrization_of(range_of(u)),complement(complement(complement(inverse(range_of(u)))))),complement(complement(complement(inverse(range_of(u))))))**.
% 299.85/300.45  248598[5:Rew:122359.0,248538.1,122360.0,248538.1] || equal(sum_class(u),universal_class) -> equal(intersection(symmetrization_of(sum_class(u)),complement(complement(complement(inverse(sum_class(u)))))),complement(complement(complement(inverse(sum_class(u))))))**.
% 299.85/300.45  248599[5:Rew:122359.0,248537.1,122360.0,248537.1] || equal(power_class(u),universal_class) -> equal(intersection(symmetrization_of(power_class(u)),complement(complement(complement(inverse(power_class(u)))))),complement(complement(complement(inverse(power_class(u))))))**.
% 299.85/300.45  248600[5:Rew:122359.0,248527.1,122360.0,248527.1] || equal(inverse(u),universal_class) -> equal(intersection(symmetrization_of(inverse(u)),complement(complement(complement(inverse(inverse(u)))))),complement(complement(complement(inverse(inverse(u))))))**.
% 299.85/300.45  248515[5:SpR:124149.0,21036.0] ||  -> equal(intersection(symmetrization_of(complement(inverse(identity_relation))),union(symmetrization_of(identity_relation),complement(inverse(complement(inverse(identity_relation)))))),symmetric_difference(symmetrization_of(identity_relation),complement(inverse(complement(inverse(identity_relation))))))**.
% 299.85/300.45  248514[7:SpR:189445.0,21036.0] ||  -> equal(intersection(symmetrization_of(complement(singleton(identity_relation))),union(singleton(identity_relation),complement(inverse(complement(singleton(identity_relation)))))),symmetric_difference(singleton(identity_relation),complement(inverse(complement(singleton(identity_relation))))))**.
% 299.85/300.45  248601[5:Rew:122359.0,248513.1,122360.0,248513.1] || equal(complement(u),universal_class) -> equal(intersection(symmetrization_of(complement(u)),complement(complement(complement(inverse(complement(u)))))),complement(complement(complement(inverse(complement(u))))))**.
% 299.85/300.45  248509[0:SpR:21036.0,24.2] || member(u,union(complement(v),complement(inverse(v)))) member(u,symmetrization_of(v)) -> member(u,symmetric_difference(complement(v),complement(inverse(v))))*.
% 299.85/300.45  248604[5:Rew:21036.0,248507.0] ||  -> equal(intersection(u,symmetric_difference(complement(v),complement(inverse(v)))),identity_relation) member(regular(intersection(u,symmetric_difference(complement(v),complement(inverse(v))))),symmetrization_of(v))*.
% 299.85/300.45  248605[5:Rew:21036.0,248495.0] ||  -> equal(intersection(symmetric_difference(complement(u),complement(inverse(u))),v),identity_relation) member(regular(intersection(symmetric_difference(complement(u),complement(inverse(u))),v)),symmetrization_of(u))*.
% 299.85/300.45  248888[5:Res:8771.1,120713.0] || well_ordering(u,universal_class) -> member(least(u,universal_class),image(universal_class,singleton(least(u,universal_class))))* asymmetric(cross_product(singleton(least(u,universal_class)),universal_class),v)*.
% 299.85/300.45  248887[5:Res:53058.1,120713.0] || well_ordering(u,universal_class) -> member(least(u,rest_relation),image(universal_class,singleton(least(u,rest_relation))))* asymmetric(cross_product(singleton(least(u,rest_relation)),universal_class),v)*.
% 299.85/300.45  248886[5:Res:53064.1,120713.0] || well_ordering(u,rest_relation) -> member(least(u,rest_relation),image(universal_class,singleton(least(u,rest_relation))))* asymmetric(cross_product(singleton(least(u,rest_relation)),universal_class),v)*.
% 299.85/300.45  249243[0:Rew:249197.0,246637.1] || member(u,image(element_relation,union(v,image(element_relation,power_class(w)))))* member(u,power_class(intersection(complement(v),power_class(complement(power_class(w)))))) -> .
% 299.85/300.45  249327[0:Rew:249197.0,246598.1] || subclass(universal_class,image(element_relation,union(u,image(element_relation,power_class(v))))) member(omega,power_class(intersection(complement(u),power_class(complement(power_class(v))))))* -> .
% 299.85/300.45  249404[5:Rew:249197.0,240967.0] || subclass(u,power_class(complement(power_class(v)))) member(regular(intersection(w,u)),image(element_relation,power_class(v)))* -> equal(intersection(w,u),identity_relation).
% 299.85/300.45  249405[5:Rew:249197.0,240374.0] || subclass(u,power_class(complement(power_class(v)))) member(regular(intersection(u,w)),image(element_relation,power_class(v)))* -> equal(intersection(u,w),identity_relation).
% 299.85/300.45  249418[0:Rew:249197.0,246211.1] || member(u,image(element_relation,union(image(element_relation,power_class(v)),w)))* member(u,power_class(intersection(power_class(complement(power_class(v))),complement(w)))) -> .
% 299.85/300.45  249430[0:Rew:249197.0,21018.0] ||  -> equal(intersection(union(u,image(element_relation,power_class(v))),union(complement(u),power_class(complement(power_class(v))))),symmetric_difference(complement(u),power_class(complement(power_class(v)))))**.
% 299.85/300.45  251034[5:Rew:250258.0,249454.0] ||  -> equal(complement(intersection(union(u,complement(power_class(identity_relation))),power_class(complement(power_class(v))))),union(intersection(complement(u),power_class(identity_relation)),image(element_relation,power_class(v))))**.
% 299.85/300.45  249701[0:Rew:249197.0,246172.1] || subclass(universal_class,image(element_relation,union(image(element_relation,power_class(u)),v))) member(omega,power_class(intersection(power_class(complement(power_class(u))),complement(v))))* -> .
% 299.85/300.45  249791[0:Rew:249197.0,21029.0] ||  -> equal(intersection(union(image(element_relation,power_class(u)),v),union(power_class(complement(power_class(u))),complement(v))),symmetric_difference(power_class(complement(power_class(u))),complement(v)))**.
% 299.85/300.45  249839[0:Rew:249197.0,235802.0] || subclass(rest_relation,flip(power_class(complement(power_class(u))))) member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),image(element_relation,power_class(u)))* -> .
% 299.85/300.45  249841[0:Rew:249197.0,235686.0] || subclass(rest_relation,rotate(power_class(complement(power_class(u))))) member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),image(element_relation,power_class(u)))* -> .
% 299.85/300.45  251049[5:Rew:250258.0,249857.0] ||  -> equal(complement(intersection(power_class(complement(power_class(u))),union(v,complement(power_class(identity_relation))))),union(image(element_relation,power_class(u)),intersection(complement(v),power_class(identity_relation))))**.
% 299.85/300.45  251050[5:Rew:250502.0,249858.0] ||  -> equal(complement(intersection(power_class(complement(power_class(u))),union(complement(power_class(identity_relation)),v))),union(image(element_relation,power_class(u)),intersection(power_class(identity_relation),complement(v))))**.
% 299.85/300.45  250062[0:Rew:249197.0,245032.0] ||  -> equal(intersection(symmetrization_of(complement(power_class(u))),union(power_class(u),complement(inverse(complement(power_class(u)))))),symmetric_difference(power_class(u),complement(inverse(complement(power_class(u))))))**.
% 299.85/300.45  250187[0:Rew:249197.0,245446.0] ||  -> equal(intersection(successor(complement(power_class(u))),union(power_class(u),complement(singleton(complement(power_class(u)))))),symmetric_difference(power_class(u),complement(singleton(complement(power_class(u))))))**.
% 299.85/300.45  251063[11:Rew:250258.0,250464.1] || member(union(u,complement(power_class(identity_relation))),universal_class) member(apply(choice,union(u,complement(power_class(identity_relation)))),intersection(complement(u),power_class(identity_relation)))* -> .
% 299.85/300.45  251066[11:Rew:250502.0,250714.1] || member(union(complement(power_class(identity_relation)),u),universal_class) member(apply(choice,union(complement(power_class(identity_relation)),u)),intersection(power_class(identity_relation),complement(u)))* -> .
% 299.85/300.45  251067[0:Rew:249200.0,249244.0] ||  -> equal(union(u,complement(power_class(intersection(complement(v),power_class(complement(power_class(w))))))),union(u,image(element_relation,union(v,image(element_relation,power_class(w))))))**.
% 299.85/300.45  251068[0:Rew:249208.0,249328.0] ||  -> equal(union(complement(power_class(intersection(complement(u),power_class(complement(power_class(v)))))),w),union(image(element_relation,union(u,image(element_relation,power_class(v)))),w))**.
% 299.85/300.45  251070[0:Rew:249200.0,249419.0] ||  -> equal(union(u,complement(power_class(intersection(power_class(complement(power_class(v))),complement(w))))),union(u,image(element_relation,union(image(element_relation,power_class(v)),w))))**.
% 299.85/300.45  251071[0:Rew:249197.0,249439.1] || member(not_subclass_element(intersection(u,power_class(complement(power_class(v)))),w),image(element_relation,power_class(v)))* -> subclass(intersection(u,power_class(complement(power_class(v)))),w).
% 299.85/300.45  251072[5:Rew:249197.0,249446.2] || well_ordering(u,universal_class) member(least(u,power_class(complement(power_class(v)))),image(element_relation,power_class(v)))* -> equal(power_class(complement(power_class(v))),identity_relation).
% 299.85/300.45  251077[0:Rew:249208.0,249702.0] ||  -> equal(union(complement(power_class(intersection(power_class(complement(power_class(u))),complement(v)))),w),union(image(element_relation,union(image(element_relation,power_class(u)),v)),w))**.
% 299.85/300.45  251078[5:Rew:249197.0,249790.2] || subclass(omega,image(element_relation,power_class(u))) -> equal(integer_of(not_subclass_element(power_class(complement(power_class(u))),v)),identity_relation)** subclass(power_class(complement(power_class(u))),v).
% 299.85/300.45  251079[0:Rew:249197.0,249825.1] || member(not_subclass_element(intersection(power_class(complement(power_class(u))),v),w),image(element_relation,power_class(u)))* -> subclass(intersection(power_class(complement(power_class(u))),v),w).
% 299.85/300.45  251081[5:Rew:249197.0,250005.1] || subclass(omega,symmetrization_of(complement(power_class(u)))) member(v,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> equal(integer_of(v),identity_relation).
% 299.85/300.45  251083[5:Rew:249197.0,250130.1] || subclass(omega,successor(complement(power_class(u)))) member(v,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> equal(integer_of(v),identity_relation).
% 299.85/300.45  251093[5:Rew:249197.0,249951.0] ||  -> member(regular(complement(symmetrization_of(complement(power_class(u))))),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* equal(complement(symmetrization_of(complement(power_class(u)))),identity_relation).
% 299.85/300.45  251095[0:Rew:249197.0,250028.0] || member(not_subclass_element(symmetrization_of(complement(power_class(u))),v),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> subclass(symmetrization_of(complement(power_class(u))),v).
% 299.85/300.45  251096[5:Rew:249197.0,250076.0] ||  -> member(regular(complement(successor(complement(power_class(u))))),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* equal(complement(successor(complement(power_class(u)))),identity_relation).
% 299.85/300.45  251098[0:Rew:249197.0,250153.0] || member(not_subclass_element(successor(complement(power_class(u))),v),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> subclass(successor(complement(power_class(u))),v).
% 299.85/300.45  251106[0:Rew:27.0,249167.1] || member(not_subclass_element(image(element_relation,union(u,v)),w),power_class(intersection(complement(u),complement(v))))* -> subclass(image(element_relation,union(u,v)),w).
% 299.85/300.45  252566[5:Rew:251767.0,251886.2,251767.0,251886.0] || member(complement(power_class(universal_class)),universal_class) -> subclass(singleton(singleton(complement(power_class(universal_class)))),power_class(universal_class)) member(singleton(singleton(singleton(complement(power_class(universal_class))))),element_relation)*.
% 299.85/300.45  252567[10:Rew:251767.0,251932.2] || well_ordering(u,power_class(universal_class)) -> equal(regular(complement(power_class(universal_class))),identity_relation) member(least(u,regular(complement(power_class(universal_class)))),regular(complement(power_class(universal_class))))*.
% 299.85/300.45  252569[5:Rew:251768.0,252077.2,251768.0,252077.0] || member(complement(power_class(identity_relation)),universal_class) -> subclass(singleton(singleton(complement(power_class(identity_relation)))),power_class(identity_relation)) member(singleton(singleton(singleton(complement(power_class(identity_relation))))),element_relation)*.
% 299.85/300.45  252570[11:Rew:251768.0,252139.2] || well_ordering(u,power_class(identity_relation)) -> equal(regular(complement(power_class(identity_relation))),identity_relation) member(least(u,regular(complement(power_class(identity_relation)))),regular(complement(power_class(identity_relation))))*.
% 299.85/300.45  252844[0:SpL:249200.0,21262.0] || equal(u,union(v,complement(power_class(w))))* member(x,universal_class) -> member(x,intersection(complement(v),power_class(w)))* member(x,u)*.
% 299.85/300.45  252839[0:SpL:249200.0,773.1] || member(u,universal_class) subclass(union(v,complement(power_class(w))),x)* -> member(u,intersection(complement(v),power_class(w)))* member(u,x)*.
% 299.85/300.45  252717[0:SpR:249200.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,intersection(complement(w),power_class(x))))),union(u,intersection(complement(v),union(w,complement(power_class(x))))))**.
% 299.85/300.45  252704[0:SpR:249200.0,581.0] ||  -> equal(complement(intersection(complement(u),union(intersection(complement(v),power_class(w)),x))),union(u,intersection(union(v,complement(power_class(w))),complement(x))))**.
% 299.85/300.45  252701[0:SpR:249200.0,580.0] ||  -> equal(complement(intersection(union(u,intersection(complement(v),power_class(w))),complement(x))),union(intersection(complement(u),union(v,complement(power_class(w)))),x))**.
% 299.85/300.45  252655[0:SpR:249200.0,580.0] ||  -> equal(complement(intersection(union(intersection(complement(u),power_class(v)),w),complement(x))),union(intersection(union(u,complement(power_class(v))),complement(w)),x))**.
% 299.85/300.45  252925[0:Rew:249200.0,252648.1] ||  -> member(not_subclass_element(complement(union(u,complement(power_class(v)))),w),intersection(complement(u),power_class(v)))* subclass(complement(union(u,complement(power_class(v)))),w).
% 299.85/300.45  253177[0:SpL:249208.0,21262.0] || equal(u,union(complement(power_class(v)),w))* member(x,universal_class) -> member(x,intersection(power_class(v),complement(w)))* member(x,u)*.
% 299.85/300.45  253172[0:SpL:249208.0,773.1] || member(u,universal_class) subclass(union(complement(power_class(v)),w),x)* -> member(u,intersection(power_class(v),complement(w)))* member(u,x)*.
% 299.85/300.45  253048[0:SpR:249208.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,intersection(power_class(w),complement(x))))),union(u,intersection(complement(v),union(complement(power_class(w)),x))))**.
% 299.85/300.45  253034[0:SpR:249208.0,581.0] ||  -> equal(complement(intersection(complement(u),union(intersection(power_class(v),complement(w)),x))),union(u,intersection(union(complement(power_class(v)),w),complement(x))))**.
% 299.85/300.45  253031[0:SpR:249208.0,580.0] ||  -> equal(complement(intersection(union(u,intersection(power_class(v),complement(w))),complement(x))),union(intersection(complement(u),union(complement(power_class(v)),w)),x))**.
% 299.85/300.45  252985[0:SpR:249208.0,580.0] ||  -> equal(complement(intersection(union(intersection(power_class(u),complement(v)),w),complement(x))),union(intersection(union(complement(power_class(u)),v),complement(w)),x))**.
% 299.85/300.45  253257[0:Rew:249208.0,252978.1] ||  -> member(not_subclass_element(complement(union(complement(power_class(u)),v)),w),intersection(power_class(u),complement(v)))* subclass(complement(union(complement(power_class(u)),v)),w).
% 299.85/300.45  253489[3:Res:28041.2,249201.0] inductive(image(element_relation,power_class(u))) || well_ordering(v,universal_class) member(least(v,image(element_relation,power_class(u))),power_class(complement(power_class(u))))* -> .
% 299.85/300.45  253487[5:Res:5404.2,249201.0] || well_ordering(u,universal_class) member(least(u,image(element_relation,power_class(v))),power_class(complement(power_class(v))))* -> equal(image(element_relation,power_class(v)),identity_relation).
% 299.85/300.45  253476[5:Res:5579.2,249201.0] || subclass(u,image(element_relation,power_class(v))) member(regular(intersection(w,u)),power_class(complement(power_class(v))))* -> equal(intersection(w,u),identity_relation).
% 299.85/300.45  253471[5:Res:5604.2,249201.0] || subclass(u,image(element_relation,power_class(v))) member(regular(intersection(u,w)),power_class(complement(power_class(v))))* -> equal(intersection(u,w),identity_relation).
% 299.85/300.45  253449[0:Res:356.1,249201.0] || member(not_subclass_element(intersection(u,image(element_relation,power_class(v))),w),power_class(complement(power_class(v))))* -> subclass(intersection(u,image(element_relation,power_class(v))),w).
% 299.85/300.45  253442[0:Res:20388.1,249201.0] || subclass(rest_relation,flip(image(element_relation,power_class(u)))) member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),power_class(complement(power_class(u))))* -> .
% 299.85/300.45  253441[0:Res:20387.1,249201.0] || subclass(rest_relation,rotate(image(element_relation,power_class(u)))) member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),power_class(complement(power_class(u))))* -> .
% 299.85/300.45  253431[0:Res:366.1,249201.0] || member(not_subclass_element(intersection(image(element_relation,power_class(u)),v),w),power_class(complement(power_class(u))))* -> subclass(intersection(image(element_relation,power_class(u)),v),w).
% 299.85/300.45  253601[5:SpR:252726.0,5311.2] || subclass(u,symmetric_difference(complement(power_class(v)),complement(power_class(w)))) -> equal(u,identity_relation) member(regular(u),complement(intersection(power_class(v),power_class(w))))*.
% 299.85/300.45  253597[5:SpR:252726.0,5462.2] || subclass(omega,symmetric_difference(complement(power_class(u)),complement(power_class(v))))* -> equal(integer_of(w),identity_relation) member(w,complement(intersection(power_class(u),power_class(v))))*.
% 299.85/300.45  254083[7:SpR:251758.0,941.0] ||  -> equal(intersection(union(u,power_class(complement(singleton(identity_relation)))),union(complement(u),image(element_relation,singleton(identity_relation)))),symmetric_difference(complement(u),image(element_relation,singleton(identity_relation))))**.
% 299.85/300.45  254028[7:SpR:251758.0,941.0] ||  -> equal(intersection(union(power_class(complement(singleton(identity_relation))),u),union(image(element_relation,singleton(identity_relation)),complement(u))),symmetric_difference(image(element_relation,singleton(identity_relation)),complement(u)))**.
% 299.85/300.45  254275[7:Rew:251758.0,254200.2] || well_ordering(u,universal_class) member(least(u,image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation))))* -> equal(image(element_relation,singleton(identity_relation)),identity_relation).
% 299.85/300.45  254276[7:Rew:251758.0,254199.1] || member(not_subclass_element(intersection(u,image(element_relation,singleton(identity_relation))),v),power_class(complement(singleton(identity_relation))))* -> subclass(intersection(u,image(element_relation,singleton(identity_relation))),v).
% 299.85/300.45  254277[7:Rew:251758.0,254189.1] || member(not_subclass_element(intersection(image(element_relation,singleton(identity_relation)),u),v),power_class(complement(singleton(identity_relation))))* -> subclass(intersection(image(element_relation,singleton(identity_relation)),u),v).
% 299.85/300.45  254278[7:Rew:251758.0,254044.2] || subclass(omega,power_class(complement(singleton(identity_relation)))) -> equal(integer_of(not_subclass_element(image(element_relation,singleton(identity_relation)),u)),identity_relation)** subclass(image(element_relation,singleton(identity_relation)),u).
% 299.85/300.45  254340[5:SpR:251759.0,941.0] ||  -> equal(intersection(union(u,power_class(complement(inverse(identity_relation)))),union(complement(u),image(element_relation,symmetrization_of(identity_relation)))),symmetric_difference(complement(u),image(element_relation,symmetrization_of(identity_relation))))**.
% 299.85/300.45  254285[5:SpR:251759.0,941.0] ||  -> equal(intersection(union(power_class(complement(inverse(identity_relation))),u),union(image(element_relation,symmetrization_of(identity_relation)),complement(u))),symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(u)))**.
% 299.85/300.45  254531[5:Rew:251759.0,254456.2] || well_ordering(u,universal_class) member(least(u,image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation))))* -> equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation).
% 299.85/300.45  254532[5:Rew:251759.0,254455.1] || member(not_subclass_element(intersection(u,image(element_relation,symmetrization_of(identity_relation))),v),power_class(complement(inverse(identity_relation))))* -> subclass(intersection(u,image(element_relation,symmetrization_of(identity_relation))),v).
% 299.85/300.45  254533[5:Rew:251759.0,254445.1] || member(not_subclass_element(intersection(image(element_relation,symmetrization_of(identity_relation)),u),v),power_class(complement(inverse(identity_relation))))* -> subclass(intersection(image(element_relation,symmetrization_of(identity_relation)),u),v).
% 299.85/300.45  254534[5:Rew:251759.0,254301.2] || subclass(omega,power_class(complement(inverse(identity_relation)))) -> equal(integer_of(not_subclass_element(image(element_relation,symmetrization_of(identity_relation)),u)),identity_relation)** subclass(image(element_relation,symmetrization_of(identity_relation)),u).
% 299.85/300.45  254763[5:MRR:254702.0,12.0] || subclass(universal_class,regular(image(element_relation,power_class(u)))) -> member(unordered_pair(v,w),power_class(complement(power_class(u))))* equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.45  254833[7:Res:254817.0,126.0] || subclass(union(singleton(identity_relation),u),v)* well_ordering(w,v)* -> member(least(w,union(singleton(identity_relation),u)),union(singleton(identity_relation),u))*.
% 299.85/300.45  254832[7:Res:254817.0,5490.0] || subclass(union(singleton(identity_relation),u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,union(singleton(identity_relation),u)))),identity_relation)**.
% 299.85/300.45  256253[5:MRR:256145.3,204401.1] || member(ordered_pair(u,regular(v)),compose(w,x)) subclass(v,regular(image(w,image(x,singleton(u)))))* -> equal(v,identity_relation).
% 299.85/300.45  256391[5:Res:59.1,256316.0] || member(ordered_pair(u,image(v,image(w,singleton(u)))),compose(v,w))* -> equal(singleton(image(v,image(w,singleton(u)))),identity_relation).
% 299.85/300.45  256652[12:SpL:168482.0,3675.0] || subclass(ordinal_add(u,v),image(recursion(u,successor_relation,identity_relation),singleton(v)))* -> section(element_relation,image(recursion(u,successor_relation,identity_relation),singleton(v)),universal_class).
% 299.85/300.45  256861[17:Res:195177.2,251410.0] || member(u,universal_class) subclass(domain_relation,intersection(power_class(v),complement(w))) member(ordered_pair(u,identity_relation),union(complement(power_class(v)),w))* -> .
% 299.85/300.45  257053[17:Res:195177.2,251419.0] || member(u,universal_class) subclass(domain_relation,intersection(complement(v),power_class(w))) member(ordered_pair(u,identity_relation),union(v,complement(power_class(w))))* -> .
% 299.85/300.45  257265[0:Res:7615.2,20569.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w))* member(sum_class(u),complement(w))* member(sum_class(u),complement(v))* -> .
% 299.85/300.45  257264[0:Res:7580.2,20569.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w))* member(power_class(u),complement(w))* member(power_class(u),complement(v))* -> .
% 299.85/300.45  257231[9:Res:207805.1,20569.2] || subclass(universal_class,union(u,v))* member(regular(complement(symmetrization_of(identity_relation))),complement(v))* member(regular(complement(symmetrization_of(identity_relation))),complement(u))* -> .
% 299.85/300.45  257230[10:Res:208146.1,20569.2] || subclass(universal_class,union(u,v))* member(regular(complement(power_class(universal_class))),complement(v))* member(regular(complement(power_class(universal_class))),complement(u))* -> .
% 299.85/300.45  257229[11:Res:207964.1,20569.2] || subclass(universal_class,union(u,v))* member(regular(complement(power_class(identity_relation))),complement(v))* member(regular(complement(power_class(identity_relation))),complement(u))* -> .
% 299.85/300.45  257219[17:Res:195614.1,20569.2] || subclass(domain_relation,union(u,v))* member(singleton(singleton(singleton(identity_relation))),complement(v))* member(singleton(singleton(singleton(identity_relation))),complement(u))* -> .
% 299.85/300.45  257216[0:Res:765.2,20569.2] || member(u,universal_class) subclass(universal_class,union(v,w))* member(sum_class(u),complement(w))* member(sum_class(u),complement(v))* -> .
% 299.85/300.45  257213[0:Res:764.2,20569.2] || member(u,universal_class) subclass(universal_class,union(v,w))* member(power_class(u),complement(w))* member(power_class(u),complement(v))* -> .
% 299.85/300.45  257502[5:SpL:47789.0,8086.1] || subclass(universal_class,regular(u)) member(regular(ordered_pair(v,w)),u)* -> equal(regular(ordered_pair(v,w)),singleton(v)) equal(u,identity_relation).
% 299.85/300.45  257546[5:MRR:257545.1,257464.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(regular(regular(ordered_pair(u,v))),singleton(v))** equal(regular(regular(ordered_pair(u,v))),u)**.
% 299.85/300.45  257701[17:SpL:5337.2,256437.0] || member(cross_product(u,v),universal_class) subclass(domain_relation,flip(ordered_pair(apply(choice,cross_product(u,v)),identity_relation)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  258072[5:Res:8059.2,5405.0] || well_ordering(u,universal_class) member(least(u,intersection(regular(v),w)),v)* -> equal(intersection(regular(v),w),identity_relation) equal(v,identity_relation).
% 299.85/300.45  258069[5:Res:8059.2,596.0] || well_ordering(u,universal_class) -> equal(intersection(restrict(v,w,x),y),identity_relation) member(least(u,intersection(restrict(v,w,x),y)),v)*.
% 299.85/300.45  258053[5:Res:8059.2,944.0] || well_ordering(u,universal_class) -> equal(intersection(symmetric_difference(v,w),x),identity_relation) member(least(u,intersection(symmetric_difference(v,w),x)),union(v,w))*.
% 299.85/300.45  258266[5:Res:8060.2,5405.0] || well_ordering(u,universal_class) member(least(u,intersection(v,regular(w))),w)* -> equal(intersection(v,regular(w)),identity_relation) equal(w,identity_relation).
% 299.85/300.45  258263[5:Res:8060.2,596.0] || well_ordering(u,universal_class) -> equal(intersection(v,restrict(w,x,y)),identity_relation) member(least(u,intersection(v,restrict(w,x,y))),w)*.
% 299.85/300.45  258247[5:Res:8060.2,944.0] || well_ordering(u,universal_class) -> equal(intersection(v,symmetric_difference(w,x)),identity_relation) member(least(u,intersection(v,symmetric_difference(w,x))),union(w,x))*.
% 299.85/300.45  258376[5:Res:8057.3,776.0] || well_ordering(u,universal_class) subclass(v,cantor(w))* subclass(domain_of(w),x)* -> equal(v,identity_relation) member(least(u,v),x)*.
% 299.85/300.45  258365[5:Res:8057.3,8157.0] || well_ordering(u,universal_class) subclass(v,symmetric_difference(complement(w),complement(x))) -> equal(v,identity_relation) member(least(u,v),union(w,x))*.
% 299.85/300.45  258551[0:SpL:931.0,8164.1] || member(u,symmetric_difference(complement(intersection(v,inverse(v))),symmetrization_of(v)))* subclass(complement(symmetric_difference(v,inverse(v))),w)* -> member(u,w)*.
% 299.85/300.45  258550[0:SpL:932.0,8164.1] || member(u,symmetric_difference(complement(intersection(v,singleton(v))),successor(v)))* subclass(complement(symmetric_difference(v,singleton(v))),w)* -> member(u,w)*.
% 299.85/300.45  258805[17:SpL:5337.2,257705.0] || member(cross_product(u,v),universal_class) equal(flip(ordered_pair(apply(choice,cross_product(u,v)),identity_relation)),domain_relation)** -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  259148[21:Res:256424.0,243787.1] || member(complement(complement(compose(complement(element_relation),inverse(element_relation)))),cross_product(universal_class,universal_class))* -> equal(singleton(complement(complement(compose(complement(element_relation),inverse(element_relation))))),identity_relation).
% 299.85/300.45  259135[5:Res:256424.0,756.0] ||  -> equal(singleton(complement(cantor(restrict(u,v,singleton(w))))),identity_relation) member(complement(cantor(restrict(u,v,singleton(w)))),segment(u,v,w))*.
% 299.85/300.45  259106[5:Res:256424.0,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(singleton(complement(u)),identity_relation) equal(integer_of(ordered_pair(complement(u),least(omega,u))),identity_relation)**.
% 299.85/300.45  259569[0:Obv:259540.2] || equal(u,v) member(ordered_pair(w,v),compose(x,y)) -> subclass(unordered_pair(v,u),image(x,image(y,singleton(w))))*.
% 299.85/300.45  259931[5:Obv:259882.2] || subclass(unordered_pair(u,v),symmetric_difference(w,x))* -> equal(integer_of(v),identity_relation) subclass(unordered_pair(u,v),omega) member(u,union(w,x)).
% 299.85/300.45  259932[5:Obv:259881.2] || subclass(unordered_pair(u,v),symmetric_difference(w,x))* -> equal(integer_of(u),identity_relation) subclass(unordered_pair(u,v),omega) member(v,union(w,x)).
% 299.85/300.45  259935[0:Obv:259875.2] || member(u,v) subclass(unordered_pair(u,w),symmetric_difference(x,y))* -> subclass(unordered_pair(u,w),v)* member(w,union(x,y)).
% 299.85/300.45  259936[0:Obv:259874.2] || member(u,v) subclass(unordered_pair(w,u),symmetric_difference(x,y))* -> subclass(unordered_pair(w,u),v)* member(w,union(x,y)).
% 299.85/300.45  260117[5:Res:120735.0,8430.0] || subclass(image(universal_class,u),v) -> subclass(cantor(inverse(cross_product(u,universal_class))),w) member(not_subclass_element(cantor(inverse(cross_product(u,universal_class))),w),v)*.
% 299.85/300.45  260091[0:Res:47693.0,8430.0] || subclass(intersection(complement(u),complement(v)),w) -> subclass(complement(union(u,v)),x) member(not_subclass_element(complement(union(u,v)),x),w)*.
% 299.85/300.45  260083[5:Res:146067.0,8430.0] || subclass(complement(cantor(u)),v) -> subclass(symmetric_difference(domain_of(u),cantor(u)),w) member(not_subclass_element(symmetric_difference(domain_of(u),cantor(u)),w),v)*.
% 299.85/300.45  260080[15:Res:191817.0,8430.0] || subclass(successor(range_of(identity_relation)),u) -> subclass(symmetric_difference(complement(range_of(identity_relation)),universal_class),v) member(not_subclass_element(symmetric_difference(complement(range_of(identity_relation)),universal_class),v),u)*.
% 299.85/300.45  260076[0:Res:8614.0,8430.0] || subclass(union(u,v),w) -> subclass(symmetric_difference(complement(u),complement(v)),x) member(not_subclass_element(symmetric_difference(complement(u),complement(v)),x),w)*.
% 299.85/300.45  260331[0:Res:8213.2,776.0] || subclass(u,cantor(v))* subclass(domain_of(v),w)* -> subclass(intersection(x,u),y) member(not_subclass_element(intersection(x,u),y),w)*.
% 299.85/300.45  260320[0:Res:8213.2,8157.0] || subclass(u,symmetric_difference(complement(v),complement(w))) -> subclass(intersection(x,u),y) member(not_subclass_element(intersection(x,u),y),union(v,w))*.
% 299.85/300.45  260554[0:Res:260367.1,727.1] inductive(intersection(u,v)) || subclass(v,image(successor_relation,intersection(u,v)))* -> equal(image(successor_relation,intersection(u,v)),intersection(u,v)).
% 299.85/300.45  260543[5:Res:260367.1,5215.0] || subclass(u,v)* well_ordering(w,v)* -> equal(intersection(x,u),identity_relation) member(least(w,intersection(x,u)),intersection(x,u))*.
% 299.85/300.45  260542[3:Res:260367.1,3692.1] inductive(intersection(u,v)) || subclass(v,w)* well_ordering(x,w)* -> member(least(x,intersection(u,v)),intersection(u,v))*.
% 299.85/300.45  260720[5:Res:260493.1,727.1] inductive(symmetric_difference(universal_class,u)) || subclass(universal_class,image(successor_relation,symmetric_difference(universal_class,u)))* -> equal(image(successor_relation,symmetric_difference(universal_class,u)),symmetric_difference(universal_class,u)).
% 299.85/300.45  260709[5:Res:260493.1,5215.0] || subclass(universal_class,u) well_ordering(v,u)* -> equal(symmetric_difference(universal_class,w),identity_relation) member(least(v,symmetric_difference(universal_class,w)),symmetric_difference(universal_class,w))*.
% 299.85/300.45  260708[5:Res:260493.1,3692.1] inductive(symmetric_difference(universal_class,u)) || subclass(universal_class,v) well_ordering(w,v)* -> member(least(w,symmetric_difference(universal_class,u)),symmetric_difference(universal_class,u))*.
% 299.85/300.45  260910[5:Res:8216.1,5405.0] || member(not_subclass_element(intersection(u,intersection(v,regular(w))),x),w)* -> subclass(intersection(u,intersection(v,regular(w))),x) equal(w,identity_relation).
% 299.85/300.45  260907[0:Res:8216.1,596.0] ||  -> subclass(intersection(u,intersection(v,restrict(w,x,y))),z) member(not_subclass_element(intersection(u,intersection(v,restrict(w,x,y))),z),w)*.
% 299.85/300.45  260891[0:Res:8216.1,944.0] ||  -> subclass(intersection(u,intersection(v,symmetric_difference(w,x))),y) member(not_subclass_element(intersection(u,intersection(v,symmetric_difference(w,x))),y),union(w,x))*.
% 299.85/300.45  261281[0:Res:261060.0,8433.0] ||  -> subclass(intersection(u,restrict(intersection(v,w),x,y)),z) member(not_subclass_element(intersection(u,restrict(intersection(v,w),x,y)),z),w)*.
% 299.85/300.45  261280[0:Res:261060.0,8432.0] ||  -> subclass(intersection(u,restrict(intersection(v,w),x,y)),z) member(not_subclass_element(intersection(u,restrict(intersection(v,w),x,y)),z),v)*.
% 299.85/300.45  261275[5:Res:261060.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(w,restrict(v,x,y)),least(u,intersection(w,restrict(v,x,y)))),identity_relation)**.
% 299.85/300.45  261270[0:Res:261060.0,8430.0] || subclass(u,v) -> subclass(intersection(w,restrict(u,x,y)),z) member(not_subclass_element(intersection(w,restrict(u,x,y)),z),v)*.
% 299.85/300.45  261480[5:Res:8215.1,5405.0] || member(not_subclass_element(intersection(u,intersection(regular(v),w)),x),v)* -> subclass(intersection(u,intersection(regular(v),w)),x) equal(v,identity_relation).
% 299.85/300.45  261477[0:Res:8215.1,596.0] ||  -> subclass(intersection(u,intersection(restrict(v,w,x),y)),z) member(not_subclass_element(intersection(u,intersection(restrict(v,w,x),y)),z),v)*.
% 299.85/300.45  261461[0:Res:8215.1,944.0] ||  -> subclass(intersection(u,intersection(symmetric_difference(v,w),x)),y) member(not_subclass_element(intersection(u,intersection(symmetric_difference(v,w),x)),y),union(v,w))*.
% 299.85/300.45  261840[5:Res:261666.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(intersection(v,symmetrization_of(identity_relation)),identity_relation) member(least(u,intersection(v,symmetrization_of(identity_relation))),intersection(v,symmetrization_of(identity_relation)))*.
% 299.85/300.45  261975[0:Res:8307.2,776.0] || subclass(u,cantor(v))* subclass(domain_of(v),w)* -> subclass(intersection(u,x),y) member(not_subclass_element(intersection(u,x),y),w)*.
% 299.85/300.45  261964[0:Res:8307.2,8157.0] || subclass(u,symmetric_difference(complement(v),complement(w))) -> subclass(intersection(u,x),y) member(not_subclass_element(intersection(u,x),y),union(v,w))*.
% 299.85/300.45  262171[0:Res:261657.0,8435.0] ||  -> subclass(intersection(u,complement(complement(restrict(v,w,x)))),y) member(not_subclass_element(intersection(u,complement(complement(restrict(v,w,x)))),y),v)*.
% 299.85/300.45  262384[5:Res:8310.1,5405.0] || member(not_subclass_element(intersection(intersection(u,regular(v)),w),x),v)* -> subclass(intersection(intersection(u,regular(v)),w),x) equal(v,identity_relation).
% 299.85/300.45  262381[0:Res:8310.1,596.0] ||  -> subclass(intersection(intersection(u,restrict(v,w,x)),y),z) member(not_subclass_element(intersection(intersection(u,restrict(v,w,x)),y),z),v)*.
% 299.85/300.45  262365[0:Res:8310.1,944.0] ||  -> subclass(intersection(intersection(u,symmetric_difference(v,w)),x),y) member(not_subclass_element(intersection(intersection(u,symmetric_difference(v,w)),x),y),union(v,w))*.
% 299.85/300.45  262817[0:Res:262607.0,8435.0] ||  -> subclass(complement(complement(intersection(u,restrict(v,w,x)))),y) member(not_subclass_element(complement(complement(intersection(u,restrict(v,w,x)))),y),v)*.
% 299.85/300.45  263075[5:Res:8309.1,5405.0] || member(not_subclass_element(intersection(intersection(regular(u),v),w),x),u)* -> subclass(intersection(intersection(regular(u),v),w),x) equal(u,identity_relation).
% 299.85/300.45  263072[0:Res:8309.1,596.0] ||  -> subclass(intersection(intersection(restrict(u,v,w),x),y),z) member(not_subclass_element(intersection(intersection(restrict(u,v,w),x),y),z),u)*.
% 299.85/300.45  263056[0:Res:8309.1,944.0] ||  -> subclass(intersection(intersection(symmetric_difference(u,v),w),x),y) member(not_subclass_element(intersection(intersection(symmetric_difference(u,v),w),x),y),union(u,v))*.
% 299.85/300.45  263261[5:Res:262795.0,5215.0] || well_ordering(u,complement(v)) -> equal(complement(union(w,v)),identity_relation) member(least(u,complement(union(w,v))),complement(union(w,v)))*.
% 299.85/300.45  263260[3:Res:262795.0,3692.1] inductive(complement(union(u,v))) || well_ordering(w,complement(v)) -> member(least(w,complement(union(u,v))),complement(union(u,v)))*.
% 299.85/300.45  263663[5:Res:263414.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(intersection(symmetrization_of(identity_relation),v),identity_relation) member(least(u,intersection(symmetrization_of(identity_relation),v)),intersection(symmetrization_of(identity_relation),v))*.
% 299.85/300.45  263762[0:Res:263405.0,8435.0] ||  -> subclass(intersection(complement(complement(restrict(u,v,w))),x),y) member(not_subclass_element(intersection(complement(complement(restrict(u,v,w))),x),y),u)*.
% 299.85/300.45  263942[0:Res:263745.0,8435.0] ||  -> subclass(complement(complement(complement(complement(restrict(u,v,w))))),x) member(not_subclass_element(complement(complement(complement(complement(restrict(u,v,w))))),x),u)*.
% 299.85/300.45  264111[0:Res:263450.0,8435.0] ||  -> subclass(complement(complement(intersection(restrict(u,v,w),x))),y) member(not_subclass_element(complement(complement(intersection(restrict(u,v,w),x))),y),u)*.
% 299.85/300.45  264321[5:Res:264089.0,5215.0] || well_ordering(u,complement(v)) -> equal(complement(union(v,w)),identity_relation) member(least(u,complement(union(v,w))),complement(union(v,w)))*.
% 299.85/300.45  264320[3:Res:264089.0,3692.1] inductive(complement(union(u,v))) || well_ordering(w,complement(u)) -> member(least(w,complement(union(u,v))),complement(union(u,v)))*.
% 299.85/300.45  264393[0:Res:264292.0,3704.1] || member(u,universal_class) well_ordering(v,complement(w)) -> member(u,successor(w))* member(least(v,complement(successor(w))),complement(successor(w)))*.
% 299.85/300.45  264443[0:Res:264294.0,3704.1] || member(u,universal_class) well_ordering(v,complement(w)) -> member(u,symmetrization_of(w))* member(least(v,complement(symmetrization_of(w))),complement(symmetrization_of(w)))*.
% 299.85/300.45  265071[5:Res:263560.1,3700.1] || equal(complement(u),identity_relation) member(v,universal_class) well_ordering(w,u)* -> member(least(w,unordered_pair(x,v)),unordered_pair(x,v))*.
% 299.85/300.45  265069[5:Res:263560.1,3701.1] || equal(complement(u),identity_relation) member(v,universal_class) well_ordering(w,u)* -> member(least(w,unordered_pair(v,x)),unordered_pair(v,x))*.
% 299.85/300.45  265630[20:Res:265424.0,5490.0] || subclass(inverse(identity_relation),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(regular(complement(complement(symmetrization_of(identity_relation)))),least(omega,inverse(identity_relation)))),identity_relation)**.
% 299.85/300.45  265812[20:Rew:5299.0,265782.1] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> compatible(u,v,regular(complement(complement(symmetrization_of(identity_relation)))))*.
% 299.85/300.45  265854[0:Res:262147.0,8433.0] ||  -> subclass(restrict(complement(complement(intersection(u,v))),w,x),y) member(not_subclass_element(restrict(complement(complement(intersection(u,v))),w,x),y),v)*.
% 299.85/300.45  265853[0:Res:262147.0,8432.0] ||  -> subclass(restrict(complement(complement(intersection(u,v))),w,x),y) member(not_subclass_element(restrict(complement(complement(intersection(u,v))),w,x),y),u)*.
% 299.85/300.45  265848[5:Res:262147.0,5259.0] || well_ordering(u,v) -> equal(segment(u,restrict(complement(complement(v)),w,x),least(u,restrict(complement(complement(v)),w,x))),identity_relation)**.
% 299.85/300.45  265843[0:Res:262147.0,8430.0] || subclass(u,v) -> subclass(restrict(complement(complement(u)),w,x),y) member(not_subclass_element(restrict(complement(complement(u)),w,x),y),v)*.
% 299.85/300.45  265996[0:Res:262737.0,8433.0] ||  -> subclass(complement(complement(restrict(intersection(u,v),w,x))),y) member(not_subclass_element(complement(complement(restrict(intersection(u,v),w,x))),y),v)*.
% 299.85/300.45  265995[0:Res:262737.0,8432.0] ||  -> subclass(complement(complement(restrict(intersection(u,v),w,x))),y) member(not_subclass_element(complement(complement(restrict(intersection(u,v),w,x))),y),u)*.
% 299.85/300.45  265990[5:Res:262737.0,5259.0] || well_ordering(u,v) -> equal(segment(u,complement(complement(restrict(v,w,x))),least(u,complement(complement(restrict(v,w,x))))),identity_relation)**.
% 299.85/300.45  265985[0:Res:262737.0,8430.0] || subclass(u,v) -> subclass(complement(complement(restrict(u,w,x))),y) member(not_subclass_element(complement(complement(restrict(u,w,x))),y),v)*.
% 299.85/300.45  266154[0:Res:261130.0,8433.0] ||  -> subclass(restrict(intersection(u,intersection(v,w)),x,y),z) member(not_subclass_element(restrict(intersection(u,intersection(v,w)),x,y),z),w)*.
% 299.85/300.45  266153[0:Res:261130.0,8432.0] ||  -> subclass(restrict(intersection(u,intersection(v,w)),x,y),z) member(not_subclass_element(restrict(intersection(u,intersection(v,w)),x,y),z),v)*.
% 299.85/300.45  266148[5:Res:261130.0,5259.0] || well_ordering(u,v) -> equal(segment(u,restrict(intersection(w,v),x,y),least(u,restrict(intersection(w,v),x,y))),identity_relation)**.
% 299.85/300.45  266143[0:Res:261130.0,8430.0] || subclass(u,v) -> subclass(restrict(intersection(w,u),x,y),z) member(not_subclass_element(restrict(intersection(w,u),x,y),z),v)*.
% 299.85/300.45  266399[0:Res:261700.0,8433.0] ||  -> subclass(restrict(intersection(intersection(u,v),w),x,y),z) member(not_subclass_element(restrict(intersection(intersection(u,v),w),x,y),z),v)*.
% 299.85/300.45  266398[0:Res:261700.0,8432.0] ||  -> subclass(restrict(intersection(intersection(u,v),w),x,y),z) member(not_subclass_element(restrict(intersection(intersection(u,v),w),x,y),z),u)*.
% 299.85/300.45  266393[5:Res:261700.0,5259.0] || well_ordering(u,v) -> equal(segment(u,restrict(intersection(v,w),x,y),least(u,restrict(intersection(v,w),x,y))),identity_relation)**.
% 299.85/300.45  266388[0:Res:261700.0,8430.0] || subclass(u,v) -> subclass(restrict(intersection(u,w),x,y),z) member(not_subclass_element(restrict(intersection(u,w),x,y),z),v)*.
% 299.85/300.45  266529[0:Res:262535.0,8433.0] ||  -> subclass(intersection(restrict(intersection(u,v),w,x),y),z) member(not_subclass_element(intersection(restrict(intersection(u,v),w,x),y),z),v)*.
% 299.85/300.45  266528[0:Res:262535.0,8432.0] ||  -> subclass(intersection(restrict(intersection(u,v),w,x),y),z) member(not_subclass_element(intersection(restrict(intersection(u,v),w,x),y),z),u)*.
% 299.85/300.45  266523[5:Res:262535.0,5259.0] || well_ordering(u,v) -> equal(segment(u,intersection(restrict(v,w,x),y),least(u,intersection(restrict(v,w,x),y))),identity_relation)**.
% 299.85/300.45  266518[0:Res:262535.0,8430.0] || subclass(u,v) -> subclass(intersection(restrict(u,w,x),y),z) member(not_subclass_element(intersection(restrict(u,w,x),y),z),v)*.
% 299.85/300.45  266833[11:Res:251973.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(regular(complement(power_class(identity_relation))),omega)),second(ordered_pair(regular(complement(power_class(identity_relation))),omega))),ordered_pair(regular(complement(power_class(identity_relation))),omega))**.
% 299.85/300.45  266832[10:Res:251795.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(regular(complement(power_class(universal_class))),omega)),second(ordered_pair(regular(complement(power_class(universal_class))),omega))),ordered_pair(regular(complement(power_class(universal_class))),omega))**.
% 299.85/300.45  266724[9:Res:207747.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(regular(complement(symmetrization_of(identity_relation))),omega)),second(ordered_pair(regular(complement(symmetrization_of(identity_relation))),omega))),ordered_pair(regular(complement(symmetrization_of(identity_relation))),omega))**.
% 299.85/300.45  266605[0:Res:3.1,123566.0] ||  -> subclass(u,v) equal(ordered_pair(first(ordered_pair(not_subclass_element(u,v),omega)),second(ordered_pair(not_subclass_element(u,v),omega))),ordered_pair(not_subclass_element(u,v),omega))**.
% 299.85/300.45  266590[0:Res:7512.1,123566.0] function(u) ||  -> equal(ordered_pair(first(ordered_pair(apply(u,v),omega)),second(ordered_pair(apply(u,v),omega))),ordered_pair(apply(u,v),omega))**.
% 299.85/300.45  266867[5:Res:263897.0,5259.0] || well_ordering(u,complement(inverse(identity_relation))) -> equal(segment(u,complement(complement(complement(symmetrization_of(identity_relation)))),least(u,complement(complement(complement(symmetrization_of(identity_relation)))))),identity_relation)**.
% 299.85/300.45  266862[5:Res:263897.0,8430.0] || subclass(complement(inverse(identity_relation)),u) -> subclass(complement(complement(complement(symmetrization_of(identity_relation)))),v) member(not_subclass_element(complement(complement(complement(symmetrization_of(identity_relation)))),v),u)*.
% 299.85/300.45  267006[5:MRR:266969.0,55.1] || member(u,universal_class) subclass(universal_class,regular(domain_of(v)))* -> equal(apply(v,sum_class(u)),sum_class(range_of(identity_relation)))** equal(domain_of(v),identity_relation).
% 299.85/300.45  267056[5:Res:262110.0,5259.0] || well_ordering(u,complement(inverse(identity_relation))) -> equal(segment(u,intersection(v,complement(symmetrization_of(identity_relation))),least(u,intersection(v,complement(symmetrization_of(identity_relation))))),identity_relation)**.
% 299.85/300.45  267051[5:Res:262110.0,8430.0] || subclass(complement(inverse(identity_relation)),u) -> subclass(intersection(v,complement(symmetrization_of(identity_relation))),w) member(not_subclass_element(intersection(v,complement(symmetrization_of(identity_relation))),w),u)*.
% 299.85/300.45  267143[5:MRR:267093.0,57.1] || member(u,universal_class) subclass(universal_class,regular(domain_of(v)))* -> equal(apply(v,power_class(u)),sum_class(range_of(identity_relation)))** equal(domain_of(v),identity_relation).
% 299.85/300.45  267208[5:Res:263211.0,5316.0] || subclass(symmetrization_of(identity_relation),u) -> equal(complement(union(v,complement(inverse(identity_relation)))),identity_relation) member(regular(complement(union(v,complement(inverse(identity_relation))))),u)*.
% 299.85/300.45  267274[5:Res:263697.0,5259.0] || well_ordering(u,complement(inverse(identity_relation))) -> equal(segment(u,intersection(complement(symmetrization_of(identity_relation)),v),least(u,intersection(complement(symmetrization_of(identity_relation)),v))),identity_relation)**.
% 299.85/300.45  267269[5:Res:263697.0,8430.0] || subclass(complement(inverse(identity_relation)),u) -> subclass(intersection(complement(symmetrization_of(identity_relation)),v),w) member(not_subclass_element(intersection(complement(symmetrization_of(identity_relation)),v),w),u)*.
% 299.85/300.45  267353[5:Res:264271.0,5316.0] || subclass(symmetrization_of(identity_relation),u) -> equal(complement(union(complement(inverse(identity_relation)),v)),identity_relation) member(regular(complement(union(complement(inverse(identity_relation)),v))),u)*.
% 299.85/300.45  267612[9:Res:267581.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(regular(complement(inverse(identity_relation))),identity_relation) member(least(u,regular(complement(inverse(identity_relation)))),regular(complement(inverse(identity_relation))))*.
% 299.85/300.45  267693[5:Res:267560.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(complement(complement(complement(complement(symmetrization_of(identity_relation))))),identity_relation) member(regular(complement(complement(complement(complement(symmetrization_of(identity_relation)))))),u)*.
% 299.85/300.45  267783[5:Res:267559.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(complement(complement(intersection(v,symmetrization_of(identity_relation)))),identity_relation) member(regular(complement(complement(intersection(v,symmetrization_of(identity_relation))))),u)*.
% 299.85/300.45  267874[5:Res:267561.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(complement(complement(intersection(symmetrization_of(identity_relation),v))),identity_relation) member(regular(complement(complement(intersection(symmetrization_of(identity_relation),v)))),u)*.
% 299.85/300.45  267984[5:Res:267565.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(complement(union(v,complement(inverse(identity_relation)))),identity_relation) member(regular(complement(union(v,complement(inverse(identity_relation))))),u)*.
% 299.85/300.45  268014[5:Res:267566.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(complement(union(complement(inverse(identity_relation)),v)),identity_relation) member(regular(complement(union(complement(inverse(identity_relation)),v))),u)*.
% 299.85/300.45  268060[5:Res:267567.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(intersection(complement(complement(symmetrization_of(identity_relation))),v),identity_relation) member(regular(intersection(complement(complement(symmetrization_of(identity_relation))),v)),u)*.
% 299.85/300.45  268150[5:Res:267571.0,5316.0] || subclass(inverse(identity_relation),u) -> equal(intersection(v,complement(complement(symmetrization_of(identity_relation)))),identity_relation) member(regular(intersection(v,complement(complement(symmetrization_of(identity_relation))))),u)*.
% 299.85/300.45  268297[5:Res:263822.0,5259.0] || well_ordering(u,symmetric_difference(universal_class,v)) -> equal(segment(u,symmetric_difference(universal_class,union(v,identity_relation)),least(u,symmetric_difference(universal_class,union(v,identity_relation)))),identity_relation)**.
% 299.85/300.45  268292[5:Res:263822.0,8430.0] || subclass(symmetric_difference(universal_class,u),v) -> subclass(symmetric_difference(universal_class,union(u,identity_relation)),w) member(not_subclass_element(symmetric_difference(universal_class,union(u,identity_relation)),w),v)*.
% 299.85/300.45  268340[5:Res:263849.0,5316.0] || subclass(range_of(u),v) -> equal(symmetric_difference(universal_class,complement(cantor(inverse(u)))),identity_relation) member(regular(symmetric_difference(universal_class,complement(cantor(inverse(u))))),v)*.
% 299.85/300.45  268360[12:SpL:191620.1,9122.1] || member(u,universal_class) member(sum_class(range_of(u)),domain_of(cross_product(v,w)))* equal(restrict(cross_product(identity_relation,universal_class),v,w),identity_relation) -> .
% 299.85/300.45  268356[5:SpL:200704.1,9122.1] || equal(u,universal_class) member(u,domain_of(cross_product(v,w)))* equal(restrict(cross_product(identity_relation,universal_class),v,w),identity_relation)** -> inductive(u).
% 299.85/300.45  268435[5:Res:264364.0,5259.0] || well_ordering(u,union(v,identity_relation)) -> equal(segment(u,complement(successor(symmetric_difference(universal_class,v))),least(u,complement(successor(symmetric_difference(universal_class,v))))),identity_relation)**.
% 299.85/300.45  268430[5:Res:264364.0,8430.0] || subclass(union(u,identity_relation),v) -> subclass(complement(successor(symmetric_difference(universal_class,u))),w) member(not_subclass_element(complement(successor(symmetric_difference(universal_class,u))),w),v)*.
% 299.85/300.45  269326[5:Res:264418.0,5259.0] || well_ordering(u,union(v,identity_relation)) -> equal(segment(u,complement(symmetrization_of(symmetric_difference(universal_class,v))),least(u,complement(symmetrization_of(symmetric_difference(universal_class,v))))),identity_relation)**.
% 299.85/300.45  269321[5:Res:264418.0,8430.0] || subclass(union(u,identity_relation),v) -> subclass(complement(symmetrization_of(symmetric_difference(universal_class,u))),w) member(not_subclass_element(complement(symmetrization_of(symmetric_difference(universal_class,u))),w),v)*.
% 299.85/300.45  269588[0:Res:783.1,7532.1] || subclass(ordered_pair(u,v),power_class(intersection(complement(w),complement(x)))) member(unordered_pair(u,singleton(v)),image(element_relation,union(w,x)))* -> .
% 299.85/300.45  269579[0:Res:765.2,7532.1] || member(u,universal_class) subclass(universal_class,power_class(intersection(complement(v),complement(w)))) member(sum_class(u),image(element_relation,union(v,w)))* -> .
% 299.85/300.45  269576[0:Res:764.2,7532.1] || member(u,universal_class) subclass(universal_class,power_class(intersection(complement(v),complement(w)))) member(power_class(u),image(element_relation,union(v,w)))* -> .
% 299.85/300.45  269573[0:Res:766.2,7532.1] || subclass(u,power_class(intersection(complement(v),complement(w)))) member(not_subclass_element(u,x),image(element_relation,union(v,w)))* -> subclass(u,x).
% 299.85/300.45  269570[17:Res:195388.1,7532.1] || subclass(domain_relation,flip(power_class(intersection(complement(u),complement(v))))) member(ordered_pair(ordered_pair(w,x),identity_relation),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269566[17:Res:195387.1,7532.1] || subclass(domain_relation,rotate(power_class(intersection(complement(u),complement(v))))) member(ordered_pair(ordered_pair(w,identity_relation),x),image(element_relation,union(u,v)))* -> .
% 299.85/300.45  269528[5:SpL:251759.0,7532.1] || member(u,image(element_relation,union(power_class(complement(inverse(identity_relation))),v)))* member(u,power_class(intersection(image(element_relation,symmetrization_of(identity_relation)),complement(v)))) -> .
% 299.85/300.45  269527[7:SpL:251758.0,7532.1] || member(u,image(element_relation,union(power_class(complement(singleton(identity_relation))),v)))* member(u,power_class(intersection(image(element_relation,singleton(identity_relation)),complement(v)))) -> .
% 299.85/300.45  269524[5:SpL:122494.0,7532.1] || member(u,image(element_relation,union(image(element_relation,symmetrization_of(identity_relation)),v)))* member(u,power_class(intersection(power_class(complement(inverse(identity_relation))),complement(v)))) -> .
% 299.85/300.45  269522[7:SpL:189471.0,7532.1] || member(u,image(element_relation,union(image(element_relation,singleton(identity_relation)),v)))* member(u,power_class(intersection(power_class(complement(singleton(identity_relation))),complement(v)))) -> .
% 299.85/300.45  269505[5:SpL:251759.0,7532.1] || member(u,image(element_relation,union(v,power_class(complement(inverse(identity_relation))))))* member(u,power_class(intersection(complement(v),image(element_relation,symmetrization_of(identity_relation))))) -> .
% 299.85/300.45  269504[7:SpL:251758.0,7532.1] || member(u,image(element_relation,union(v,power_class(complement(singleton(identity_relation))))))* member(u,power_class(intersection(complement(v),image(element_relation,singleton(identity_relation))))) -> .
% 299.85/300.45  269501[5:SpL:122494.0,7532.1] || member(u,image(element_relation,union(v,image(element_relation,symmetrization_of(identity_relation)))))* member(u,power_class(intersection(complement(v),power_class(complement(inverse(identity_relation)))))) -> .
% 299.85/300.45  269499[7:SpL:189471.0,7532.1] || member(u,image(element_relation,union(v,image(element_relation,singleton(identity_relation)))))* member(u,power_class(intersection(complement(v),power_class(complement(singleton(identity_relation)))))) -> .
% 299.85/300.45  269868[17:Res:66.2,195192.0] function(u) || member(v,universal_class) subclass(domain_relation,w)* subclass(w,x)* -> member(ordered_pair(image(u,v),identity_relation),x)*.
% 299.85/300.45  269968[17:MRR:269958.1,5.0] || well_ordering(u,universal_class) subclass(domain_relation,v)* subclass(v,w)* -> equal(x,identity_relation) member(ordered_pair(least(u,x),identity_relation),w)*.
% 299.85/300.45  269969[17:MRR:269910.1,5.0] || member(u,universal_class) subclass(domain_relation,v)* subclass(v,w)* -> equal(u,identity_relation) member(ordered_pair(apply(choice,u),identity_relation),w)*.
% 299.85/300.45  270235[0:SpL:251233.0,20350.1] || member(u,universal_class) subclass(rest_relation,symmetric_difference(power_class(v),complement(w))) -> member(ordered_pair(u,rest_of(u)),union(complement(power_class(v)),w))*.
% 299.85/300.45  270217[0:SpL:251233.0,8165.1] || member(u,symmetric_difference(union(complement(power_class(v)),w),union(power_class(v),complement(w))))* member(u,symmetric_difference(power_class(v),complement(w))) -> .
% 299.85/300.45  270129[0:SpR:251233.0,943.1] || member(u,symmetric_difference(union(complement(power_class(v)),w),union(power_class(v),complement(w))))* -> member(u,complement(symmetric_difference(power_class(v),complement(w)))).
% 299.85/300.45  270671[20:SpL:251244.0,225873.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),universal_class)** equal(union(intersection(power_class(u),complement(v)),w),symmetrization_of(identity_relation)) -> .
% 299.85/300.45  270670[14:SpL:251244.0,222759.0] || equal(symmetric_difference(universal_class,union(intersection(power_class(u),complement(v)),w)),omega) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270669[5:SpL:251244.0,222742.0] || equal(symmetric_difference(universal_class,union(intersection(power_class(u),complement(v)),w)),universal_class) -> member(omega,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270668[5:SpL:251244.0,222760.0] || equal(symmetric_difference(universal_class,union(intersection(power_class(u),complement(v)),w)),universal_class) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270667[5:SpL:251244.0,222741.0] || equal(union(union(intersection(power_class(u),complement(v)),w),identity_relation),identity_relation) -> member(omega,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270666[5:SpL:251244.0,222758.0] || equal(union(union(intersection(power_class(u),complement(v)),w),identity_relation),identity_relation) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270665[20:SpL:251244.0,220259.1] || subclass(universal_class,intersection(union(complement(power_class(u)),v),complement(w))) subclass(symmetrization_of(identity_relation),union(intersection(power_class(u),complement(v)),w))* -> .
% 299.85/300.45  270660[5:SpL:251244.0,219310.0] || subclass(union(intersection(power_class(u),complement(v)),w),identity_relation) -> equal(complement(successor(intersection(union(complement(power_class(u)),v),complement(w)))),identity_relation)**.
% 299.85/300.45  270659[5:SpL:251244.0,219370.0] || subclass(union(intersection(power_class(u),complement(v)),w),identity_relation) subclass(successor(intersection(union(complement(power_class(u)),v),complement(w))),identity_relation)* -> .
% 299.85/300.45  270658[5:SpL:251244.0,219414.0] || subclass(union(intersection(power_class(u),complement(v)),w),identity_relation) -> equal(complement(symmetrization_of(intersection(union(complement(power_class(u)),v),complement(w)))),identity_relation)**.
% 299.85/300.45  270657[7:SpL:251244.0,189483.0] || subclass(singleton(identity_relation),union(intersection(power_class(u),complement(v)),w)) member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))* -> .
% 299.85/300.45  270654[14:SpL:251244.0,189298.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),omega)** equal(union(intersection(power_class(u),complement(v)),w),singleton(identity_relation)) -> .
% 299.85/300.45  270653[7:SpL:251244.0,189302.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),universal_class)** equal(union(intersection(power_class(u),complement(v)),w),singleton(identity_relation)) -> .
% 299.85/300.45  270646[14:SpL:251244.0,178298.1] || equal(intersection(union(complement(power_class(u)),v),complement(w)),singleton(identity_relation))** equal(union(intersection(power_class(u),complement(v)),w),omega) -> .
% 299.85/300.45  270630[5:SpL:251244.0,222523.0] || equal(complement(complement(union(intersection(power_class(u),complement(v)),w))),identity_relation) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270629[5:SpL:251244.0,222635.0] || equal(complement(complement(union(intersection(power_class(u),complement(v)),w))),identity_relation) -> member(omega,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270627[7:SpL:251244.0,189307.0] || equal(complement(union(intersection(power_class(u),complement(v)),w)),singleton(identity_relation)) -> member(identity_relation,intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270620[0:SpL:251244.0,3634.0] || subclass(universal_class,complement(union(intersection(power_class(u),complement(v)),w))) -> member(singleton(x),intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270617[5:SpL:251244.0,218119.0] || subclass(universal_class,complement(union(intersection(power_class(u),complement(v)),w))) -> member(power_class(identity_relation),intersection(union(complement(power_class(u)),v),complement(w)))*.
% 299.85/300.45  270614[0:SpL:251244.0,111306.0] || equal(complement(union(intersection(power_class(u),complement(v)),w)),universal_class) well_ordering(universal_class,intersection(union(complement(power_class(u)),v),complement(w)))* -> .
% 299.85/300.45  270557[5:SpR:251759.0,251244.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),image(element_relation,symmetrization_of(identity_relation)))),union(intersection(power_class(u),complement(v)),power_class(complement(inverse(identity_relation)))))**.
% 299.85/300.45  270556[7:SpR:251758.0,251244.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),image(element_relation,singleton(identity_relation)))),union(intersection(power_class(u),complement(v)),power_class(complement(singleton(identity_relation)))))**.
% 299.85/300.45  270554[0:SpR:249206.0,251244.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),power_class(complement(power_class(w))))),union(intersection(power_class(u),complement(v)),image(element_relation,power_class(w))))**.
% 299.85/300.45  270553[5:SpR:122494.0,251244.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),power_class(complement(inverse(identity_relation))))),union(intersection(power_class(u),complement(v)),image(element_relation,symmetrization_of(identity_relation))))**.
% 299.85/300.45  270551[7:SpR:189471.0,251244.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),power_class(complement(singleton(identity_relation))))),union(intersection(power_class(u),complement(v)),image(element_relation,singleton(identity_relation))))**.
% 299.85/300.45  270512[0:SpR:251244.0,47693.0] ||  -> subclass(complement(union(u,intersection(union(complement(power_class(v)),w),complement(x)))),intersection(complement(u),union(intersection(power_class(v),complement(w)),x)))*.
% 299.85/300.45  270464[5:SpR:251244.0,203762.1] || equal(union(intersection(union(complement(power_class(u)),v),complement(w)),identity_relation),identity_relation)** -> member(omega,union(intersection(power_class(u),complement(v)),w)).
% 299.85/300.45  270459[0:SpR:251244.0,47693.0] ||  -> subclass(complement(union(intersection(union(complement(power_class(u)),v),complement(w)),x)),intersection(union(intersection(power_class(u),complement(v)),w),complement(x)))*.
% 299.85/300.45  34373[0:Res:641.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,ordered_pair(w,x))),second(ordered_pair(u,ordered_pair(w,x)))),ordered_pair(u,ordered_pair(w,x)))**.
% 299.85/300.45  35044[0:SpR:930.0,8337.0] ||  -> subclass(symmetric_difference(complement(symmetric_difference(u,v)),union(complement(intersection(u,v)),union(u,v))),complement(symmetric_difference(complement(intersection(u,v)),union(u,v))))*.
% 299.85/300.45  8872[0:SpR:932.0,160.0] ||  -> equal(intersection(complement(symmetric_difference(u,singleton(u))),union(complement(intersection(u,singleton(u))),successor(u))),symmetric_difference(complement(intersection(u,singleton(u))),successor(u)))**.
% 299.85/300.45  29432[0:SpL:932.0,2609.2] || member(u,successor(v)) member(u,complement(intersection(v,singleton(v))))* subclass(symmetric_difference(v,singleton(v)),w)* -> member(u,w)*.
% 299.85/300.45  34140[0:Res:3654.2,25.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,complement(w)) member(ordered_pair(u,ordered_pair(v,compose(u,v))),w)* -> .
% 299.85/300.45  34144[0:Res:3654.2,23.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,intersection(w,x))* -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),x)*.
% 299.85/300.45  34143[0:Res:3654.2,22.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,intersection(w,x))* -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),w)*.
% 299.85/300.45  3893[0:Rew:647.0,3890.2] || equal(compose(u,singleton(v)),v) member(singleton(singleton(singleton(v))),cross_product(universal_class,universal_class))* -> member(singleton(singleton(singleton(v))),compose_class(u))*.
% 299.85/300.45  29431[0:SpL:931.0,2609.2] || member(u,symmetrization_of(v)) member(u,complement(intersection(v,inverse(v))))* subclass(symmetric_difference(v,inverse(v)),w)* -> member(u,w)*.
% 299.85/300.45  8810[0:SpR:931.0,160.0] ||  -> equal(intersection(complement(symmetric_difference(u,inverse(u))),union(complement(intersection(u,inverse(u))),symmetrization_of(u))),symmetric_difference(complement(intersection(u,inverse(u))),symmetrization_of(u)))**.
% 299.85/300.45  34149[5:Res:3654.2,29473.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,domain_of(w)) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),cantor(w))*.
% 299.85/300.45  29230[0:SpR:938.0,24.2] || member(u,union(v,cross_product(w,x))) member(u,complement(restrict(v,w,x))) -> member(u,symmetric_difference(v,cross_product(w,x)))*.
% 299.85/300.45  29380[0:SpR:939.0,24.2] || member(u,union(cross_product(v,w),x)) member(u,complement(restrict(x,v,w))) -> member(u,symmetric_difference(cross_product(v,w),x))*.
% 299.85/300.45  34160[0:Res:3654.2,143.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,rest_of(w)) -> equal(restrict(w,u,universal_class),ordered_pair(v,compose(u,v)))*.
% 299.85/300.45  34701[0:MRR:34659.0,29469.1] || member(not_subclass_element(u,intersection(v,complement(w))),v)* -> member(not_subclass_element(u,intersection(v,complement(w))),w)* subclass(u,intersection(v,complement(w))).
% 299.85/300.45  20556[0:Res:366.1,588.0] || member(not_subclass_element(intersection(intersection(complement(u),complement(v)),w),x),union(u,v))* -> subclass(intersection(intersection(complement(u),complement(v)),w),x).
% 299.85/300.45  20571[0:Res:356.1,588.0] || member(not_subclass_element(intersection(u,intersection(complement(v),complement(w))),x),union(v,w))* -> subclass(intersection(u,intersection(complement(v),complement(w))),x).
% 299.85/300.45  36369[0:SpL:2089.1,15.0] || member(not_subclass_element(cross_product(u,v),w),cross_product(x,y))* -> subclass(cross_product(u,v),w) member(first(not_subclass_element(cross_product(u,v),w)),x).
% 299.85/300.45  36368[0:SpL:2089.1,142.0] || member(not_subclass_element(cross_product(u,v),w),rest_of(x)) -> subclass(cross_product(u,v),w) member(first(not_subclass_element(cross_product(u,v),w)),domain_of(x))*.
% 299.85/300.45  36370[0:SpL:2089.1,16.0] || member(not_subclass_element(cross_product(u,v),w),cross_product(x,y))* -> subclass(cross_product(u,v),w) member(second(not_subclass_element(cross_product(u,v),w)),y).
% 299.85/300.45  27977[0:Res:766.2,1043.0] || subclass(u,ordered_pair(v,w))* -> subclass(u,x) equal(not_subclass_element(u,x),unordered_pair(v,singleton(w)))* equal(not_subclass_element(u,x),singleton(v)).
% 299.85/300.45  34330[0:Res:12.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,unordered_pair(w,x))),second(ordered_pair(u,unordered_pair(w,x)))),ordered_pair(u,unordered_pair(w,x)))**.
% 299.85/300.45  27961[0:Res:3.1,1043.0] ||  -> subclass(ordered_pair(u,v),w) equal(not_subclass_element(ordered_pair(u,v),w),unordered_pair(u,singleton(v)))** equal(not_subclass_element(ordered_pair(u,v),w),singleton(u)).
% 299.85/300.45  157139[0:SpR:939.0,145868.1] || subclass(union(cross_product(u,v),w),complement(restrict(w,u,v)))* -> equal(symmetric_difference(cross_product(u,v),w),union(cross_product(u,v),w)).
% 299.85/300.45  157228[0:SpR:938.0,145868.1] || subclass(union(u,cross_product(v,w)),complement(restrict(u,v,w)))* -> equal(symmetric_difference(u,cross_product(v,w)),union(u,cross_product(v,w))).
% 299.85/300.45  40724[0:Rew:123.0,40683.0] || member(restrict(u,v,singleton(w)),segment(u,v,w)) -> member(ordered_pair(restrict(u,v,singleton(w)),segment(u,v,w)),element_relation)*.
% 299.85/300.45  27823[5:Res:24559.0,8.0] || subclass(complement(symmetric_difference(complement(u),universal_class)),symmetric_difference(union(u,identity_relation),universal_class))* -> equal(symmetric_difference(union(u,identity_relation),universal_class),complement(symmetric_difference(complement(u),universal_class))).
% 299.85/300.45  30186[5:SpR:30.0,5400.1] || asymmetric(cross_product(u,v),singleton(w)) -> equal(range__dfg(restrict(inverse(cross_product(u,v)),u,v),w,singleton(w)),second(not_subclass_element(identity_relation,identity_relation)))**.
% 299.85/300.45  30848[5:Res:5214.2,2599.1] || subclass(u,complement(intersection(v,w))) member(regular(u),union(v,w)) -> equal(u,identity_relation) member(regular(u),symmetric_difference(v,w))*.
% 299.85/300.45  113705[5:Res:2603.2,5322.1] || member(regular(u),cross_product(v,w)) member(regular(u),x) subclass(u,complement(restrict(x,v,w)))* -> equal(u,identity_relation).
% 299.85/300.45  164717[5:Rew:118447.0,153065.1] || member(u,union(complement(v),symmetric_difference(universal_class,v))) member(u,union(v,identity_relation)) -> member(u,symmetric_difference(complement(v),symmetric_difference(universal_class,v)))*.
% 299.85/300.45  34034[5:SpL:5338.1,20.0] || member(regular(cross_product(u,v)),element_relation) -> equal(cross_product(u,v),identity_relation) member(first(regular(cross_product(u,v))),second(regular(cross_product(u,v))))*.
% 299.85/300.45  34352[5:Res:5220.1,3336.0] || member(u,v)* -> equal(w,identity_relation) equal(ordered_pair(first(ordered_pair(u,regular(w))),second(ordered_pair(u,regular(w)))),ordered_pair(u,regular(w)))**.
% 299.85/300.45  5590[5:Rew:5180.0,4893.0] ||  -> equal(intersection(u,unordered_pair(v,w)),identity_relation) equal(regular(intersection(u,unordered_pair(v,w))),w)** equal(regular(intersection(u,unordered_pair(v,w))),v)**.
% 299.85/300.45  5610[5:Rew:5180.0,5020.0] ||  -> equal(intersection(unordered_pair(u,v),w),identity_relation) equal(regular(intersection(unordered_pair(u,v),w)),v)** equal(regular(intersection(unordered_pair(u,v),w)),u)**.
% 299.85/300.45  117932[5:Res:5343.1,8157.0] ||  -> equal(restrict(symmetric_difference(complement(u),complement(v)),w,x),identity_relation) member(regular(restrict(symmetric_difference(complement(u),complement(v)),w,x)),union(u,v))*.
% 299.85/300.45  123217[5:Rew:122359.0,35423.0] || member(complement(complement(symmetrization_of(u))),universal_class)* connected(u,v)* -> equal(segment(element_relation,cross_product(v,v),least(element_relation,cross_product(v,v))),identity_relation)**.
% 299.85/300.45  39397[5:Res:29628.0,9.0] ||  -> equal(complement(complement(unordered_pair(u,v))),identity_relation) equal(regular(complement(complement(unordered_pair(u,v)))),v)** equal(regular(complement(complement(unordered_pair(u,v)))),u)**.
% 299.85/300.45  118035[0:Res:130.2,8428.0] || connected(u,singleton(v)) -> well_ordering(u,singleton(v)) subclass(not_well_ordering(u,singleton(v)),w) equal(not_subclass_element(not_well_ordering(u,singleton(v)),w),v)**.
% 299.85/300.45  31803[0:Res:4733.1,989.1] || member(u,not_well_ordering(v,singleton(u)))* connected(v,singleton(u)) -> well_ordering(v,singleton(u)) equal(not_well_ordering(v,singleton(u)),singleton(u)).
% 299.85/300.45  183423[5:Res:3780.1,5490.0] || equal(complement(complement(u)),universal_class) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(w),least(omega,u))),identity_relation)**.
% 299.85/300.45  183460[5:Res:147.1,5490.0] || member(u,universal_class) subclass(rest_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(u,rest_of(u)),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  183479[5:Res:122671.0,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(w,complement(u)) equal(integer_of(ordered_pair(not_subclass_element(w,complement(u)),least(omega,u))),identity_relation)**.
% 299.85/300.45  183490[5:Res:122840.1,5490.0] || well_ordering(universal_class,complement(u)) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(singleton(w)),least(omega,u))),identity_relation)**.
% 299.85/300.45  183523[14:Res:178730.1,5490.0] || equal(domain_of(u),omega) subclass(cantor(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,cantor(u)))),identity_relation)**.
% 299.85/300.45  183524[14:Res:178049.1,5490.0] || subclass(omega,domain_of(u)) subclass(cantor(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,cantor(u)))),identity_relation)**.
% 299.85/300.45  183526[14:Res:178684.1,5490.0] || equal(cantor(u),omega) subclass(domain_of(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,domain_of(u)))),identity_relation)**.
% 299.85/300.45  183527[14:Res:178550.1,5490.0] || subclass(omega,cantor(u)) subclass(domain_of(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,domain_of(u)))),identity_relation)**.
% 299.85/300.45  37347[0:Res:348.0,3714.2] || member(u,v)* member(w,x)* well_ordering(y,cross_product(x,v)) -> member(least(y,cross_product(x,v)),cross_product(x,v))*.
% 299.85/300.45  183452[5:Res:608.1,5490.0] || member(u,cantor(v)) subclass(domain_of(v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(u,least(omega,domain_of(v)))),identity_relation)**.
% 299.85/300.45  183506[5:Res:648.0,5490.0] || subclass(ordered_pair(u,v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(unordered_pair(u,singleton(v)),least(omega,ordered_pair(u,v)))),identity_relation)**.
% 299.85/300.45  3923[0:Res:608.1,128.3] || member(ordered_pair(u,least(domain_of(v),w)),cantor(v))* member(u,w) subclass(w,x)* well_ordering(domain_of(v),x)* -> .
% 299.85/300.45  37451[0:Res:348.0,3705.2] || member(u,v)* member(u,w)* well_ordering(x,intersection(w,v)) -> member(least(x,intersection(w,v)),intersection(w,v))*.
% 299.85/300.45  35558[0:Res:7.1,3700.1] || equal(u,unordered_pair(v,w))* member(w,universal_class) well_ordering(x,u)* -> member(least(x,unordered_pair(v,w)),unordered_pair(v,w))*.
% 299.85/300.45  36050[0:Res:7.1,3701.1] || equal(u,unordered_pair(v,w))* member(v,universal_class) well_ordering(x,u)* -> member(least(x,unordered_pair(v,w)),unordered_pair(v,w))*.
% 299.85/300.45  35402[0:Res:7.1,3704.1] || equal(u,complement(v))* member(w,universal_class)* well_ordering(x,u)* -> member(w,v)* member(least(x,complement(v)),complement(v))*.
% 299.85/300.45  104040[3:Res:28061.2,595.0] inductive(restrict(u,v,w)) || well_ordering(x,restrict(u,v,w)) -> member(least(x,restrict(u,v,w)),cross_product(v,w))*.
% 299.85/300.45  28056[3:Res:8246.0,3692.1] inductive(restrict(u,v,w)) || well_ordering(x,cross_product(v,w)) -> member(least(x,restrict(u,v,w)),restrict(u,v,w))*.
% 299.85/300.45  162822[5:Res:146432.1,3700.1] || equal(sum_class(u),universal_class) member(v,universal_class) well_ordering(w,sum_class(u))* -> member(least(w,unordered_pair(x,v)),unordered_pair(x,v))*.
% 299.85/300.45  162872[5:Res:146432.1,3701.1] || equal(sum_class(u),universal_class) member(v,universal_class) well_ordering(w,sum_class(u))* -> member(least(w,unordered_pair(v,x)),unordered_pair(v,x))*.
% 299.85/300.45  163633[5:Res:163531.1,3701.1] || equal(power_class(u),universal_class) member(v,universal_class) well_ordering(w,power_class(u))* -> member(least(w,unordered_pair(v,x)),unordered_pair(v,x))*.
% 299.85/300.45  163635[5:Res:163531.1,3700.1] || equal(power_class(u),universal_class) member(v,universal_class) well_ordering(w,power_class(u))* -> member(least(w,unordered_pair(x,v)),unordered_pair(x,v))*.
% 299.85/300.45  162873[5:Res:146436.1,3701.1] || equal(inverse(u),universal_class) member(v,universal_class) well_ordering(w,inverse(u))* -> member(least(w,unordered_pair(v,x)),unordered_pair(v,x))*.
% 299.85/300.45  162823[5:Res:146436.1,3700.1] || equal(inverse(u),universal_class) member(v,universal_class) well_ordering(w,inverse(u))* -> member(least(w,unordered_pair(x,v)),unordered_pair(x,v))*.
% 299.85/300.45  46841[3:Res:28041.2,9.0] inductive(unordered_pair(u,v)) || well_ordering(w,universal_class) -> equal(least(w,unordered_pair(u,v)),v)** equal(least(w,unordered_pair(u,v)),u)**.
% 299.85/300.45  102277[3:Res:28041.2,588.0] inductive(intersection(complement(u),complement(v))) || well_ordering(w,universal_class) member(least(w,intersection(complement(u),complement(v))),union(u,v))* -> .
% 299.85/300.45  163458[5:Res:162500.1,3701.1] || equal(complement(u),universal_class) member(v,universal_class) well_ordering(w,complement(u))* -> member(least(w,unordered_pair(v,x)),unordered_pair(v,x))*.
% 299.85/300.45  163460[5:Res:162500.1,3700.1] || equal(complement(u),universal_class) member(v,universal_class) well_ordering(w,complement(u))* -> member(least(w,unordered_pair(x,v)),unordered_pair(x,v))*.
% 299.85/300.45  179788[7:Res:179749.0,126.0] || subclass(union(u,identity_relation),v)* well_ordering(w,v)* -> member(identity_relation,complement(u)) member(least(w,union(u,identity_relation)),union(u,identity_relation))*.
% 299.85/300.45  179775[7:Res:179748.1,126.0] || member(identity_relation,u) subclass(union(u,identity_relation),v)* well_ordering(w,v)* -> member(least(w,union(u,identity_relation)),union(u,identity_relation))*.
% 299.85/300.45  30986[5:Res:29487.1,126.0] || member(u,element_relation)* subclass(compose(element_relation,universal_class),v)* well_ordering(w,v)* -> member(least(w,compose(element_relation,universal_class)),compose(element_relation,universal_class))*.
% 299.85/300.45  117535[5:Res:117277.0,126.0] || subclass(inverse(singleton(u)),v)* well_ordering(w,v)* -> asymmetric(singleton(u),x)* member(least(w,inverse(singleton(u))),inverse(singleton(u)))*.
% 299.85/300.45  28084[5:Res:22542.0,3692.1] inductive(symmetric_difference(complement(u),universal_class)) || well_ordering(v,union(u,identity_relation)) -> member(least(v,symmetric_difference(complement(u),universal_class)),symmetric_difference(complement(u),universal_class))*.
% 299.85/300.45  123269[5:Rew:119684.0,50642.1] inductive(complement(union(u,identity_relation))) || well_ordering(v,symmetric_difference(universal_class,u)) -> member(least(v,complement(union(u,identity_relation))),complement(union(u,identity_relation)))*.
% 299.85/300.45  86389[3:Res:86316.0,3692.1] inductive(complement(symmetrization_of(u))) || well_ordering(v,intersection(complement(u),complement(inverse(u)))) -> member(least(v,complement(symmetrization_of(u))),complement(symmetrization_of(u)))*.
% 299.85/300.45  86433[3:Res:86317.0,3692.1] inductive(complement(successor(u))) || well_ordering(v,intersection(complement(u),complement(singleton(u)))) -> member(least(v,complement(successor(u))),complement(successor(u)))*.
% 299.85/300.45  30964[5:MRR:30948.3,5184.0] function(u) || well_ordering(v,cross_product(universal_class,universal_class)) subclass(singleton(least(v,u)),u) -> section(v,singleton(least(v,u)),u)*.
% 299.85/300.45  123230[5:Rew:122380.0,28092.2] inductive(symmetric_difference(domain_of(u),universal_class)) || well_ordering(v,complement(cantor(u))) -> member(least(v,symmetric_difference(universal_class,cantor(u))),symmetric_difference(universal_class,cantor(u)))*.
% 299.85/300.45  152776[0:Res:122840.1,2599.1] || well_ordering(universal_class,complement(complement(intersection(u,v))))* member(singleton(singleton(w)),union(u,v)) -> member(singleton(singleton(w)),symmetric_difference(u,v))*.
% 299.85/300.45  46351[0:Res:3892.3,3924.0] || member(u,universal_class)* member(v,universal_class) equal(compose(w,v),u)* subclass(compose_class(w),x)* well_ordering(universal_class,x) -> .
% 299.85/300.45  120686[5:SpR:119609.0,5461.2] || section(universal_class,u,v) well_ordering(w,u) -> equal(segment(w,domain_of(cross_product(v,u)),least(w,domain_of(cross_product(v,u)))),identity_relation)**.
% 299.85/300.45  32538[5:Res:5424.3,2.0] || member(u,universal_class) well_ordering(v,u) subclass(sum_class(u),w) -> equal(sum_class(u),identity_relation) member(least(v,sum_class(u)),w)*.
% 299.85/300.45  166848[5:Res:160697.0,5259.0] || well_ordering(u,segment(universal_class,v,w)) -> equal(segment(u,cantor(cross_product(v,singleton(w))),least(u,cantor(cross_product(v,singleton(w))))),identity_relation)**.
% 299.85/300.45  48813[5:Res:5403.2,595.0] || well_ordering(u,restrict(v,w,x)) -> equal(restrict(v,w,x),identity_relation) member(least(u,restrict(v,w,x)),cross_product(w,x))*.
% 299.85/300.45  123258[5:Rew:119684.0,50644.0] || well_ordering(u,symmetric_difference(universal_class,v)) -> equal(complement(union(v,identity_relation)),identity_relation) member(least(u,complement(union(v,identity_relation))),complement(union(v,identity_relation)))*.
% 299.85/300.45  9165[5:Res:9005.0,5259.0] || well_ordering(u,successor(v)) -> equal(segment(u,symmetric_difference(complement(v),complement(singleton(v))),least(u,symmetric_difference(complement(v),complement(singleton(v))))),identity_relation)**.
% 299.85/300.45  9150[5:Res:9004.0,5259.0] || well_ordering(u,symmetrization_of(v)) -> equal(segment(u,symmetric_difference(complement(v),complement(inverse(v))),least(u,symmetric_difference(complement(v),complement(inverse(v))))),identity_relation)**.
% 299.85/300.45  22957[5:Rew:22446.0,22691.2] || well_ordering(u,union(v,identity_relation)) -> equal(symmetric_difference(complement(v),universal_class),identity_relation) member(least(u,symmetric_difference(complement(v),universal_class)),symmetric_difference(complement(v),universal_class))*.
% 299.85/300.45  48153[5:Obv:48150.3] || well_ordering(u,not_well_ordering(u,v)) connected(u,v) member(least(u,not_well_ordering(u,v)),not_well_ordering(u,v))* -> well_ordering(u,v).
% 299.85/300.45  86391[5:Res:86316.0,5215.0] || well_ordering(u,intersection(complement(v),complement(inverse(v)))) -> equal(complement(symmetrization_of(v)),identity_relation) member(least(u,complement(symmetrization_of(v))),complement(symmetrization_of(v)))*.
% 299.85/300.45  86435[5:Res:86317.0,5215.0] || well_ordering(u,intersection(complement(v),complement(singleton(v)))) -> equal(complement(successor(v)),identity_relation) member(least(u,complement(successor(v))),complement(successor(v)))*.
% 299.85/300.45  8639[5:Res:8246.0,5215.0] || well_ordering(u,cross_product(v,w)) -> equal(restrict(x,v,w),identity_relation) member(least(u,restrict(x,v,w)),restrict(x,v,w))*.
% 299.85/300.45  25552[5:Res:5404.2,588.0] || well_ordering(u,universal_class) member(least(u,intersection(complement(v),complement(w))),union(v,w))* -> equal(intersection(complement(v),complement(w)),identity_relation).
% 299.85/300.45  8054[5:Res:5404.2,9.0] || well_ordering(u,universal_class) -> equal(unordered_pair(v,w),identity_relation) equal(least(u,unordered_pair(v,w)),w)** equal(least(u,unordered_pair(v,w)),v)**.
% 299.85/300.45  8391[5:Res:5216.2,595.0] || member(restrict(u,v,w),universal_class) -> equal(restrict(u,v,w),identity_relation) member(apply(choice,restrict(u,v,w)),cross_product(v,w))*.
% 299.85/300.45  27228[5:Rew:27.0,27193.2,27.0,27193.0] || member(union(u,v),universal_class) member(apply(choice,union(u,v)),intersection(complement(u),complement(v)))* -> equal(union(u,v),identity_relation).
% 299.85/300.45  93728[5:SpL:5337.2,86931.0] || member(cross_product(u,v),universal_class) equal(w,apply(choice,cross_product(u,v)))* well_ordering(universal_class,w)* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  93696[5:SpL:5337.2,46366.0] || member(cross_product(u,v),universal_class) subclass(apply(choice,cross_product(u,v)),w)* well_ordering(universal_class,w) -> equal(cross_product(u,v),identity_relation).
% 299.85/300.45  30736[5:Rew:22914.0,30686.1,22914.0,30686.0] || member(symmetric_difference(complement(u),universal_class),universal_class) -> equal(symmetric_difference(complement(u),universal_class),identity_relation) member(apply(choice,symmetric_difference(complement(u),universal_class)),union(u,identity_relation))*.
% 299.85/300.45  123921[5:Res:5331.2,158.0] || member(intersection(omega,u),universal_class) -> equal(intersection(omega,u),identity_relation) equal(integer_of(apply(choice,intersection(omega,u))),apply(choice,intersection(omega,u)))**.
% 299.85/300.45  123934[5:Res:5330.2,158.0] || member(intersection(u,omega),universal_class) -> equal(intersection(u,omega),identity_relation) equal(integer_of(apply(choice,intersection(u,omega))),apply(choice,intersection(u,omega)))**.
% 299.85/300.45  27620[5:Res:5329.3,9.0] || member(u,universal_class) subclass(u,unordered_pair(v,w))* -> equal(u,identity_relation) equal(apply(choice,u),w) equal(apply(choice,u),v).
% 299.85/300.45  27628[5:Res:5329.3,588.0] || member(u,universal_class) subclass(u,intersection(complement(v),complement(w))) member(apply(choice,u),union(v,w))* -> equal(u,identity_relation).
% 299.85/300.45  126373[5:SoR:122912.0,4792.2] single_valued_class(image(successor_relation,cross_product(universal_class,universal_class))) || member(identity_relation,cross_product(universal_class,universal_class)) equal(image(successor_relation,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class))** -> .
% 299.85/300.45  38858[0:Res:779.1,3928.0] || subclass(universal_class,compose(u,v)) member(w,x)* subclass(x,y)* well_ordering(image(u,image(v,singleton(z))),y)* -> .
% 299.85/300.45  27461[0:Res:827.3,588.0] function(u) || member(v,universal_class) subclass(universal_class,intersection(complement(w),complement(x))) member(image(u,v),union(w,x))* -> .
% 299.85/300.45  27093[0:SpR:69.0,558.1] || member(restrict(element_relation,universal_class,image(u,singleton(v))),universal_class) -> member(ordered_pair(restrict(element_relation,universal_class,image(u,singleton(v))),apply(u,v)),domain_relation)*.
% 299.85/300.45  20959[0:SpR:579.0,581.0] ||  -> equal(union(u,intersection(complement(v),power_class(intersection(complement(w),complement(x))))),complement(intersection(complement(u),union(v,image(element_relation,union(w,x))))))**.
% 299.85/300.45  21253[0:SpL:579.0,773.1] || member(u,universal_class) subclass(power_class(intersection(complement(v),complement(w))),x)* -> member(u,image(element_relation,union(v,w)))* member(u,x)*.
% 299.85/300.45  20906[0:SpR:579.0,580.0] ||  -> equal(union(intersection(complement(u),power_class(intersection(complement(v),complement(w)))),x),complement(intersection(union(u,image(element_relation,union(v,w))),complement(x))))**.
% 299.85/300.45  20970[0:SpR:579.0,581.0] ||  -> equal(union(u,intersection(power_class(intersection(complement(v),complement(w))),complement(x))),complement(intersection(complement(u),union(image(element_relation,union(v,w)),x))))**.
% 299.85/300.45  20917[0:SpR:579.0,580.0] ||  -> equal(union(intersection(power_class(intersection(complement(u),complement(v))),complement(w)),x),complement(intersection(union(image(element_relation,union(u,v)),w),complement(x))))**.
% 299.85/300.45  8684[0:Rew:579.0,8664.1] || member(not_subclass_element(power_class(intersection(complement(u),complement(v))),w),image(element_relation,union(u,v)))* -> subclass(power_class(intersection(complement(u),complement(v))),w).
% 299.85/300.45  26614[5:Rew:5392.2,26608.4] inductive(singleton(u)) || member(u,universal_class) subclass(singleton(u),range_of(identity_relation))* -> member(u,domain_of(successor_relation)) equal(range_of(identity_relation),singleton(u)).
% 299.85/300.45  39153[5:MRR:39152.3,5188.0] || equal(compose_class(u),domain_relation) member(ordered_pair(v,regular(image(u,range_of(identity_relation)))),cross_product(universal_class,universal_class))* -> equal(image(u,range_of(identity_relation)),identity_relation).
% 299.85/300.45  79143[5:Res:46090.0,5259.0] || well_ordering(u,range_of(v)) -> equal(segment(u,restrict(cantor(inverse(v)),w,x),least(u,restrict(cantor(inverse(v)),w,x))),identity_relation)**.
% 299.85/300.45  162876[5:Res:150282.1,3701.1] || equal(range_of(u),universal_class) member(v,universal_class) well_ordering(w,range_of(u))* -> member(least(w,unordered_pair(v,x)),unordered_pair(v,x))*.
% 299.85/300.45  162826[5:Res:150282.1,3700.1] || equal(range_of(u),universal_class) member(v,universal_class) well_ordering(w,range_of(u))* -> member(least(w,unordered_pair(x,v)),unordered_pair(x,v))*.
% 299.85/300.45  89291[0:Res:86994.1,3524.1] || equal(cantor(inverse(u)),image(v,image(w,singleton(x))))* member(ordered_pair(x,y),compose(v,w))* -> member(y,range_of(u))*.
% 299.85/300.45  34913[5:Res:29474.1,5377.1] || member(apply(choice,complement(cantor(inverse(u)))),range_of(u))* member(complement(cantor(inverse(u))),universal_class) -> equal(complement(cantor(inverse(u))),identity_relation).
% 299.85/300.45  39586[5:Res:34824.1,126.0] || subclass(cantor(inverse(u)),v)* well_ordering(w,v)* -> equal(range_of(u),identity_relation) member(least(w,cantor(inverse(u))),cantor(inverse(u)))*.
% 299.85/300.45  189755[7:Rew:189431.0,189666.3] || member(u,v) subclass(v,w)* well_ordering(singleton(identity_relation),w)* -> member(ordered_pair(u,least(singleton(identity_relation),v)),complement(singleton(identity_relation)))*.
% 299.85/300.45  198211[15:Res:194012.1,5490.0] || subclass(complement(u),v)* well_ordering(omega,v) -> member(singleton(identity_relation),u) equal(integer_of(ordered_pair(singleton(identity_relation),least(omega,complement(u)))),identity_relation)**.
% 299.85/300.45  198210[15:Res:192110.1,5490.0] || equal(u,singleton(singleton(identity_relation))) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(identity_relation),least(omega,u))),identity_relation)**.
% 299.85/300.45  198209[17:Res:195614.1,5490.0] || subclass(domain_relation,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(singleton(singleton(identity_relation))),least(omega,u))),identity_relation)**.
% 299.85/300.45  199939[15:Rew:191663.0,199922.1] || member(ordered_pair(sum_class(range_of(identity_relation)),not_subclass_element(u,image(v,image(w,identity_relation)))),compose(v,w))* -> subclass(u,image(v,image(w,identity_relation))).
% 299.85/300.45  201395[5:Res:146221.1,5215.0] || subclass(u,v) well_ordering(w,complement(u)) -> equal(symmetric_difference(v,u),identity_relation) member(least(w,symmetric_difference(v,u)),symmetric_difference(v,u))*.
% 299.85/300.45  201394[3:Res:146221.1,3692.1] inductive(symmetric_difference(u,v)) || subclass(v,u) well_ordering(w,complement(v)) -> member(least(w,symmetric_difference(u,v)),symmetric_difference(u,v))*.
% 299.85/300.45  203355[5:Rew:118446.0,202920.1] || equal(symmetric_difference(u,v),identity_relation) -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),union(complement(intersection(u,v)),union(u,v)))**.
% 299.85/300.45  209020[17:Rew:208959.1,197400.3] function(u) function(v) || subclass(range_of(v),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(v,w,apply(u,x))*.
% 299.85/300.45  209046[17:Rew:208959.1,197539.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> subclass(w,x) compatible(u,v,not_subclass_element(w,x))*.
% 299.85/300.45  209048[17:Rew:208959.1,196446.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> equal(singleton(domain_of(w)),identity_relation) compatible(u,v,w)*.
% 299.85/300.45  209050[17:Rew:208959.1,196356.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> equal(integer_of(domain_of(w)),identity_relation) compatible(u,v,w)*.
% 299.85/300.45  209063[17:Rew:208959.1,206118.3] function(u) || equal(identity_relation,v) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,power_class(v))*.
% 299.85/300.45  209065[15:Rew:208959.1,205710.3] function(u) || equal(rest_of(v),identity_relation) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.45  209068[15:Rew:208959.1,205605.3] function(u) || equal(cantor(v),identity_relation) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.45  209073[17:Rew:208959.1,197006.3] function(u) || member(v,universal_class) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,sum_class(v))*.
% 299.85/300.45  209074[17:Rew:208959.1,196943.3] function(u) || member(v,universal_class) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,power_class(v))*.
% 299.85/300.45  209247[15:SpR:208959.1,5461.2] function(restrict(u,v,w)) || section(u,w,v)* well_ordering(x,w)* -> equal(segment(x,universal_class,least(x,universal_class)),identity_relation)**.
% 299.85/300.45  210269[15:SpL:210176.1,209009.1] one_to_one(u) function(v) || subclass(range_of(v),domain_of(universal_class)) equal(domain_of(domain_of(w)),universal_class) -> compatible(v,w,inverse(u))*.
% 299.85/300.45  210509[17:SpL:210378.1,3524.1] one_to_one(u) || member(ordered_pair(inverse(u),v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* -> member(v,y)*.
% 299.85/300.45  210639[17:Res:209752.1,5490.0] function(u) || subclass(ordered_pair(u,v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(identity_relation,least(omega,ordered_pair(u,v)))),identity_relation)**.
% 299.85/300.45  210896[5:Res:3654.2,208753.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,rest_of(ordered_pair(u,ordered_pair(v,compose(u,v)))))* subclass(element_relation,identity_relation) -> .
% 299.85/300.45  207781[9:Res:207747.0,5490.0] || subclass(complement(inverse(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(regular(complement(symmetrization_of(identity_relation))),least(omega,complement(inverse(identity_relation))))),identity_relation)**.
% 299.85/300.45  124250[5:Rew:124149.0,124242.3] || member(u,v) subclass(v,w)* well_ordering(symmetrization_of(identity_relation),w)* -> member(ordered_pair(u,least(symmetrization_of(identity_relation),v)),complement(inverse(identity_relation)))*.
% 299.85/300.45  212354[20:Res:212334.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,regular(symmetrization_of(identity_relation)))),second(ordered_pair(u,regular(symmetrization_of(identity_relation))))),ordered_pair(u,regular(symmetrization_of(identity_relation))))**.
% 299.85/300.45  212363[4:Res:212188.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,least(element_relation,omega))),second(ordered_pair(u,least(element_relation,omega)))),ordered_pair(u,least(element_relation,omega)))**.
% 299.85/300.45  214011[17:Res:195388.1,95.1] || subclass(domain_relation,flip(cross_product(universal_class,universal_class))) equal(compose(u,ordered_pair(v,w)),identity_relation) -> member(ordered_pair(ordered_pair(v,w),identity_relation),compose_class(u))*.
% 299.85/300.45  216031[17:Res:214456.1,5490.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(ordered_pair(power_class(identity_relation),identity_relation),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  216469[17:Res:214641.1,5490.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(ordered_pair(singleton(v),identity_relation),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  216496[17:Res:216467.1,5490.0] || subclass(rest_relation,domain_relation) subclass(rest_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(singleton(singleton(singleton(identity_relation))),least(omega,rest_relation))),identity_relation)**.
% 299.85/300.45  217755[5:SpL:122711.0,773.1] || member(u,universal_class) subclass(union(v,symmetric_difference(universal_class,w)),x)* -> member(u,intersection(complement(v),union(w,identity_relation)))* member(u,x)*.
% 299.85/300.45  217653[5:SpR:122711.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,intersection(complement(w),union(x,identity_relation))))),union(u,intersection(complement(v),union(w,symmetric_difference(universal_class,x)))))**.
% 299.85/300.45  217642[5:SpR:122711.0,581.0] ||  -> equal(complement(intersection(complement(u),union(intersection(complement(v),union(w,identity_relation)),x))),union(u,intersection(union(v,symmetric_difference(universal_class,w)),complement(x))))**.
% 299.85/300.45  217639[5:SpR:122711.0,580.0] ||  -> equal(complement(intersection(union(u,intersection(complement(v),union(w,identity_relation))),complement(x))),union(intersection(complement(u),union(v,symmetric_difference(universal_class,w))),x))**.
% 299.85/300.45  217631[5:SpR:122711.0,146221.1] || subclass(intersection(complement(u),union(v,identity_relation)),w) -> subclass(symmetric_difference(w,intersection(complement(u),union(v,identity_relation))),union(u,symmetric_difference(universal_class,v)))*.
% 299.85/300.45  217612[5:SpR:122711.0,86316.0] ||  -> subclass(complement(symmetrization_of(intersection(complement(u),union(v,identity_relation)))),intersection(union(u,symmetric_difference(universal_class,v)),complement(inverse(intersection(complement(u),union(v,identity_relation))))))*.
% 299.85/300.45  217610[5:SpR:122711.0,86317.0] ||  -> subclass(complement(successor(intersection(complement(u),union(v,identity_relation)))),intersection(union(u,symmetric_difference(universal_class,v)),complement(singleton(intersection(complement(u),union(v,identity_relation))))))*.
% 299.85/300.45  217603[5:SpR:122711.0,580.0] ||  -> equal(complement(intersection(union(intersection(complement(u),union(v,identity_relation)),w),complement(x))),union(intersection(union(u,symmetric_difference(universal_class,v)),complement(w)),x))**.
% 299.85/300.45  217824[5:Rew:122711.0,217600.1] ||  -> member(not_subclass_element(complement(union(u,symmetric_difference(universal_class,v))),w),intersection(complement(u),union(v,identity_relation)))* subclass(complement(union(u,symmetric_difference(universal_class,v))),w).
% 299.85/300.45  218353[5:SpL:122708.0,773.1] || member(u,universal_class) subclass(union(symmetric_difference(universal_class,v),w),x)* -> member(u,intersection(union(v,identity_relation),complement(w)))* member(u,x)*.
% 299.85/300.45  218251[5:SpR:122708.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,intersection(union(w,identity_relation),complement(x))))),union(u,intersection(complement(v),union(symmetric_difference(universal_class,w),x))))**.
% 299.85/300.45  218239[5:SpR:122708.0,581.0] ||  -> equal(complement(intersection(complement(u),union(intersection(union(v,identity_relation),complement(w)),x))),union(u,intersection(union(symmetric_difference(universal_class,v),w),complement(x))))**.
% 299.85/300.45  218236[5:SpR:122708.0,580.0] ||  -> equal(complement(intersection(union(u,intersection(union(v,identity_relation),complement(w))),complement(x))),union(intersection(complement(u),union(symmetric_difference(universal_class,v),w)),x))**.
% 299.85/300.45  218228[5:SpR:122708.0,146221.1] || subclass(intersection(union(u,identity_relation),complement(v)),w) -> subclass(symmetric_difference(w,intersection(union(u,identity_relation),complement(v))),union(symmetric_difference(universal_class,u),v))*.
% 299.85/300.45  218209[5:SpR:122708.0,86316.0] ||  -> subclass(complement(symmetrization_of(intersection(union(u,identity_relation),complement(v)))),intersection(union(symmetric_difference(universal_class,u),v),complement(inverse(intersection(union(u,identity_relation),complement(v))))))*.
% 299.85/300.45  218207[5:SpR:122708.0,86317.0] ||  -> subclass(complement(successor(intersection(union(u,identity_relation),complement(v)))),intersection(union(symmetric_difference(universal_class,u),v),complement(singleton(intersection(union(u,identity_relation),complement(v))))))*.
% 299.85/300.45  218200[5:SpR:122708.0,580.0] ||  -> equal(complement(intersection(union(intersection(union(u,identity_relation),complement(v)),w),complement(x))),union(intersection(union(symmetric_difference(universal_class,u),v),complement(w)),x))**.
% 299.85/300.45  218418[5:Rew:122708.0,218197.1] ||  -> member(not_subclass_element(complement(union(symmetric_difference(universal_class,u),v)),w),intersection(union(u,identity_relation),complement(v)))* subclass(complement(union(symmetric_difference(universal_class,u),v)),w).
% 299.85/300.45  218761[17:Res:3654.2,192766.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cross_product(universal_class,universal_class)) member(ordered_pair(v,compose(u,v)),domain_of(u))* -> .
% 299.85/300.45  219365[5:Res:219313.1,5490.0] || subclass(complement(u),identity_relation) subclass(successor(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(omega,least(omega,successor(u)))),identity_relation)**.
% 299.85/300.45  219379[7:Res:219314.1,5490.0] || subclass(complement(u),identity_relation) subclass(successor(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,successor(u)))),identity_relation)**.
% 299.85/300.45  219437[5:Res:219417.1,5490.0] || subclass(complement(u),identity_relation) subclass(symmetrization_of(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(omega,least(omega,symmetrization_of(u)))),identity_relation)**.
% 299.85/300.45  219494[7:Res:219418.1,5490.0] || subclass(complement(u),identity_relation) subclass(symmetrization_of(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,symmetrization_of(u)))),identity_relation)**.
% 299.85/300.45  219527[11:Res:207952.1,5490.0] || equal(identity_relation,u) subclass(universal_class,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(regular(complement(power_class(u))),least(omega,universal_class))),identity_relation)**.
% 299.85/300.45  219564[11:Res:207964.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(regular(complement(power_class(identity_relation))),least(omega,u))),identity_relation)**.
% 299.85/300.45  219716[10:Res:208146.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(regular(complement(power_class(universal_class))),least(omega,u))),identity_relation)**.
% 299.85/300.45  220139[17:SpL:209749.1,128.3] function(least(u,v)) || member(identity_relation,v)* subclass(v,w)* well_ordering(u,w)* member(singleton(singleton(identity_relation)),u)* -> .
% 299.85/300.45  220388[5:Res:220369.1,128.3] || member(ordered_pair(u,least(symmetrization_of(identity_relation),v)),inverse(identity_relation))* member(u,v) subclass(v,w)* well_ordering(symmetrization_of(identity_relation),w)* -> .
% 299.85/300.45  220379[5:Res:220369.1,5490.0] || member(u,inverse(identity_relation)) subclass(symmetrization_of(identity_relation),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(u,least(omega,symmetrization_of(identity_relation)))),identity_relation)**.
% 299.85/300.45  220416[9:Res:207805.1,5490.0] || subclass(universal_class,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(regular(complement(symmetrization_of(identity_relation))),least(omega,u))),identity_relation)**.
% 299.85/300.45  220624[20:Res:212352.1,2599.1] || subclass(inverse(identity_relation),complement(intersection(u,v))) member(regular(symmetrization_of(identity_relation)),union(u,v)) -> member(regular(symmetrization_of(identity_relation)),symmetric_difference(u,v))*.
% 299.85/300.45  220618[20:Res:212352.1,5490.0] || subclass(inverse(identity_relation),u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(regular(symmetrization_of(identity_relation)),least(omega,u))),identity_relation)**.
% 299.85/300.45  221419[20:Res:214397.1,2599.1] || subclass(symmetrization_of(identity_relation),complement(intersection(u,v))) member(regular(symmetrization_of(identity_relation)),union(u,v)) -> member(regular(symmetrization_of(identity_relation)),symmetric_difference(u,v))*.
% 299.85/300.45  221413[20:Res:214397.1,5490.0] || subclass(symmetrization_of(identity_relation),u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(regular(symmetrization_of(identity_relation)),least(omega,u))),identity_relation)**.
% 299.85/300.45  221855[7:Rew:221854.1,194137.2] inductive(singleton(apply(choice,singleton(identity_relation)))) || well_ordering(u,singleton(identity_relation)) -> member(least(u,singleton(least(element_relation,omega))),singleton(least(element_relation,omega)))*.
% 299.85/300.45  222305[5:Res:3654.2,222174.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetrization_of(identity_relation)) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),inverse(identity_relation))*.
% 299.85/300.45  222737[0:Res:3654.2,222432.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,complement(complement(w))) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),w)*.
% 299.85/300.45  224834[0:Res:59.1,7571.2] || member(ordered_pair(u,power_class(v)),compose(w,x))* member(v,universal_class) subclass(universal_class,complement(image(w,image(x,singleton(u)))))* -> .
% 299.85/300.45  225418[5:Res:223085.1,5490.0] || equal(complement(complement(u)),universal_class) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,u))),identity_relation)**.
% 299.85/300.45  225678[0:Res:59.1,7606.2] || member(ordered_pair(u,sum_class(v)),compose(w,x))* member(v,universal_class) subclass(universal_class,complement(image(w,image(x,singleton(u)))))* -> .
% 299.85/300.45  226482[17:Rew:5299.0,226456.2] function(u) || member(v,universal_class) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,rest_of(v))*.
% 299.85/300.45  227208[0:Res:227090.0,3704.1] || member(u,universal_class) well_ordering(v,complement(cantor(w))) -> member(u,domain_of(w))* member(least(v,complement(domain_of(w))),complement(domain_of(w)))*.
% 299.85/300.45  228789[5:MRR:228728.0,12.0] || subclass(universal_class,regular(intersection(complement(u),complement(v))))* -> member(unordered_pair(w,x),union(u,v))* equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.45  230329[0:Res:59.1,8431.1] || member(ordered_pair(u,not_subclass_element(v,w)),compose(x,y))* subclass(v,complement(image(x,image(y,singleton(u))))) -> subclass(v,w).
% 299.85/300.45  230360[0:Obv:230290.2] || subclass(unordered_pair(u,v),complement(w))* member(v,w) -> equal(not_subclass_element(unordered_pair(u,v),x),u)** subclass(unordered_pair(u,v),x).
% 299.85/300.45  230361[0:Obv:230289.2] || subclass(unordered_pair(u,v),complement(w))* member(u,w) -> equal(not_subclass_element(unordered_pair(u,v),x),v)** subclass(unordered_pair(u,v),x).
% 299.85/300.45  231352[5:Res:49.1,5318.0] inductive(restrict(u,v,w)) ||  -> equal(image(successor_relation,restrict(u,v,w)),identity_relation) member(regular(image(successor_relation,restrict(u,v,w))),u)*.
% 299.85/300.45  231479[0:Res:3728.1,8433.0] || equal(sum_class(intersection(u,v)),intersection(u,v)) -> subclass(sum_class(intersection(u,v)),w) member(not_subclass_element(sum_class(intersection(u,v)),w),v)*.
% 299.85/300.45  231613[0:Res:3728.1,8432.0] || equal(sum_class(intersection(u,v)),intersection(u,v)) -> subclass(sum_class(intersection(u,v)),w) member(not_subclass_element(sum_class(intersection(u,v)),w),u)*.
% 299.85/300.45  233400[5:Res:230404.0,3335.2] || member(u,v) member(w,x) -> equal(singleton(cross_product(x,v)),identity_relation) member(ordered_pair(w,u),complement(singleton(cross_product(x,v))))*.
% 299.85/300.45  233581[5:SpL:233410.0,60.0] || member(u,image(v,image(w,identity_relation))) member(ordered_pair(universal_class,u),cross_product(universal_class,universal_class)) -> member(ordered_pair(universal_class,u),compose(v,w))*.
% 299.85/300.45  234033[5:SpL:122711.0,623.1] || member(u,image(element_relation,power_class(intersection(complement(v),union(w,identity_relation)))))* member(u,power_class(image(element_relation,union(v,symmetric_difference(universal_class,w))))) -> .
% 299.85/300.45  234031[5:SpL:122708.0,623.1] || member(u,image(element_relation,power_class(intersection(union(v,identity_relation),complement(w)))))* member(u,power_class(image(element_relation,union(symmetric_difference(universal_class,v),w)))) -> .
% 299.85/300.45  234155[17:Res:24.2,195186.2] || member(ordered_pair(u,identity_relation),v)* member(ordered_pair(u,identity_relation),w)* member(u,universal_class) subclass(domain_relation,complement(intersection(w,v)))* -> .
% 299.85/300.45  235188[5:Res:943.1,8058.1] || member(least(u,complement(complement(intersection(v,w)))),symmetric_difference(v,w))* well_ordering(u,universal_class) -> equal(complement(complement(intersection(v,w))),identity_relation).
% 299.85/300.45  235444[17:SpL:930.0,195185.1] || member(u,universal_class) subclass(domain_relation,symmetric_difference(complement(intersection(v,w)),union(v,w)))* -> member(ordered_pair(u,identity_relation),complement(symmetric_difference(v,w)))*.
% 299.85/300.45  235667[0:Res:20387.1,158.0] || subclass(rest_relation,rotate(omega)) -> equal(integer_of(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v)),ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v))**.
% 299.85/300.45  235783[0:Res:20388.1,158.0] || subclass(rest_relation,flip(omega)) -> equal(integer_of(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u)))),ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u))))**.
% 299.85/300.45  235957[5:Res:5462.2,34675.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(not_subclass_element(w,intersection(union(u,v),w))),identity_relation)** subclass(w,intersection(union(u,v),w)).
% 299.85/300.45  235937[17:Res:5462.2,195186.2] || subclass(omega,symmetric_difference(u,v)) member(w,universal_class) subclass(domain_relation,complement(union(u,v)))* -> equal(integer_of(ordered_pair(w,identity_relation)),identity_relation)**.
% 299.85/300.45  235910[5:SpR:580.0,5462.2] || subclass(omega,symmetric_difference(intersection(complement(u),complement(v)),w)) -> equal(integer_of(x),identity_relation) member(x,complement(intersection(union(u,v),complement(w))))*.
% 299.85/300.45  235899[5:SpR:581.0,5462.2] || subclass(omega,symmetric_difference(u,intersection(complement(v),complement(w)))) -> equal(integer_of(x),identity_relation) member(x,complement(intersection(complement(u),union(v,w))))*.
% 299.85/300.45  236342[5:Res:3654.2,233419.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,singleton(omega)) -> equal(integer_of(ordered_pair(u,ordered_pair(v,compose(u,v)))),identity_relation)**.
% 299.85/300.45  236449[0:Res:943.1,8214.0] || member(not_subclass_element(intersection(u,complement(complement(intersection(v,w)))),x),symmetric_difference(v,w))* -> subclass(intersection(u,complement(complement(intersection(v,w)))),x).
% 299.85/300.45  236834[0:Res:943.1,8308.0] || member(not_subclass_element(intersection(complement(complement(intersection(u,v))),w),x),symmetric_difference(u,v))* -> subclass(intersection(complement(complement(intersection(u,v))),w),x).
% 299.85/300.45  237047[0:SpL:579.0,21262.0] || equal(u,power_class(intersection(complement(v),complement(w))))* member(x,universal_class) -> member(x,image(element_relation,union(v,w)))* member(x,u)*.
% 299.85/300.45  237036[5:SpL:122711.0,21262.0] || equal(u,union(v,symmetric_difference(universal_class,w)))* member(x,universal_class) -> member(x,intersection(complement(v),union(w,identity_relation)))* member(x,u)*.
% 299.85/300.45  237034[5:SpL:122708.0,21262.0] || equal(u,union(symmetric_difference(universal_class,v),w))* member(x,universal_class) -> member(x,intersection(union(v,identity_relation),complement(w)))* member(x,u)*.
% 299.85/300.45  237354[5:Res:5580.1,595.0] ||  -> equal(intersection(u,intersection(v,restrict(w,x,y))),identity_relation) member(regular(intersection(u,intersection(v,restrict(w,x,y)))),cross_product(x,y))*.
% 299.85/300.45  237947[5:Res:5581.1,595.0] ||  -> equal(intersection(u,intersection(restrict(v,w,x),y)),identity_relation) member(regular(intersection(u,intersection(restrict(v,w,x),y))),cross_product(w,x))*.
% 299.85/300.45  238039[5:Rew:938.0,237861.0] ||  -> equal(intersection(u,symmetric_difference(v,cross_product(w,x))),identity_relation) member(regular(intersection(u,symmetric_difference(v,cross_product(w,x)))),complement(restrict(v,w,x)))*.
% 299.85/300.45  238040[5:Rew:939.0,237860.0] ||  -> equal(intersection(u,symmetric_difference(cross_product(v,w),x)),identity_relation) member(regular(intersection(u,symmetric_difference(cross_product(v,w),x))),complement(restrict(x,v,w)))*.
% 299.85/300.45  238743[5:Res:5605.1,595.0] ||  -> equal(intersection(intersection(u,restrict(v,w,x)),y),identity_relation) member(regular(intersection(intersection(u,restrict(v,w,x)),y)),cross_product(w,x))*.
% 299.85/300.45  239537[5:Res:5606.1,595.0] ||  -> equal(intersection(intersection(restrict(u,v,w),x),y),identity_relation) member(regular(intersection(intersection(restrict(u,v,w),x),y)),cross_product(v,w))*.
% 299.85/300.45  239638[5:Rew:938.0,239442.0] ||  -> equal(intersection(symmetric_difference(u,cross_product(v,w)),x),identity_relation) member(regular(intersection(symmetric_difference(u,cross_product(v,w)),x)),complement(restrict(u,v,w)))*.
% 299.85/300.45  239639[5:Rew:939.0,239441.0] ||  -> equal(intersection(symmetric_difference(cross_product(u,v),w),x),identity_relation) member(regular(intersection(symmetric_difference(cross_product(u,v),w),x)),complement(restrict(w,u,v)))*.
% 299.85/300.45  240356[5:Res:5604.2,9.0] || subclass(u,unordered_pair(v,w))* -> equal(intersection(u,x),identity_relation) equal(regular(intersection(u,x)),w)* equal(regular(intersection(u,x)),v)*.
% 299.85/300.45  240425[5:Rew:938.0,240279.1] || subclass(complement(restrict(u,v,w)),x) -> equal(symmetric_difference(u,cross_product(v,w)),identity_relation) member(regular(symmetric_difference(u,cross_product(v,w))),x)*.
% 299.85/300.45  240426[5:Rew:939.0,240278.1] || subclass(complement(restrict(u,v,w)),x) -> equal(symmetric_difference(cross_product(v,w),u),identity_relation) member(regular(symmetric_difference(cross_product(v,w),u)),x)*.
% 299.85/300.45  240949[5:Res:5579.2,9.0] || subclass(u,unordered_pair(v,w))* -> equal(intersection(x,u),identity_relation) equal(regular(intersection(x,u)),w)* equal(regular(intersection(x,u)),v)*.
% 299.85/300.45  241327[5:SpR:580.0,5311.2] || subclass(u,symmetric_difference(intersection(complement(v),complement(w)),x)) -> equal(u,identity_relation) member(regular(u),complement(intersection(union(v,w),complement(x))))*.
% 299.85/300.45  241316[5:SpR:581.0,5311.2] || subclass(u,symmetric_difference(v,intersection(complement(w),complement(x)))) -> equal(u,identity_relation) member(regular(u),complement(intersection(complement(v),union(w,x))))*.
% 299.85/300.45  241479[5:Res:164613.0,5316.0] || subclass(union(u,identity_relation),v) -> equal(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),identity_relation) member(regular(symmetric_difference(complement(u),symmetric_difference(universal_class,u))),v)*.
% 299.85/300.45  241936[0:Obv:241829.1] || member(not_subclass_element(symmetric_difference(u,v),intersection(w,complement(intersection(u,v)))),w)* -> subclass(symmetric_difference(u,v),intersection(w,complement(intersection(u,v)))).
% 299.85/300.45  242046[5:Res:5579.2,8150.0] || subclass(u,symmetric_difference(cross_product(v,w),x)) -> equal(intersection(y,u),identity_relation) member(regular(intersection(y,u)),complement(restrict(x,v,w)))*.
% 299.85/300.45  242041[5:Res:5604.2,8150.0] || subclass(u,symmetric_difference(cross_product(v,w),x)) -> equal(intersection(u,y),identity_relation) member(regular(intersection(u,y)),complement(restrict(x,v,w)))*.
% 299.85/300.45  242033[5:Res:29628.0,8150.0] ||  -> equal(complement(complement(symmetric_difference(cross_product(u,v),w))),identity_relation) member(regular(complement(complement(symmetric_difference(cross_product(u,v),w)))),complement(restrict(w,u,v)))*.
% 299.85/300.45  242012[0:Res:20388.1,8150.0] || subclass(rest_relation,flip(symmetric_difference(cross_product(u,v),w))) -> member(ordered_pair(ordered_pair(x,y),rest_of(ordered_pair(y,x))),complement(restrict(w,u,v)))*.
% 299.85/300.45  242011[0:Res:20387.1,8150.0] || subclass(rest_relation,rotate(symmetric_difference(cross_product(u,v),w))) -> member(ordered_pair(ordered_pair(x,rest_of(ordered_pair(y,x))),y),complement(restrict(w,u,v)))*.
% 299.85/300.45  242171[5:Rew:242089.0,242160.1] || member(ordered_pair(u,not_subclass_element(v,image(w,range_of(identity_relation)))),compose(w,complement(cross_product(singleton(u),universal_class))))* -> subclass(v,image(w,range_of(identity_relation))).
% 299.85/300.45  242234[5:Res:3654.2,242117.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,domain_of(complement(cross_product(singleton(ordered_pair(u,ordered_pair(v,compose(u,v)))),universal_class))))* -> .
% 299.85/300.45  242318[5:Res:5579.2,8147.0] || subclass(u,symmetric_difference(v,cross_product(w,x))) -> equal(intersection(y,u),identity_relation) member(regular(intersection(y,u)),complement(restrict(v,w,x)))*.
% 299.85/300.45  242313[5:Res:5604.2,8147.0] || subclass(u,symmetric_difference(v,cross_product(w,x))) -> equal(intersection(u,y),identity_relation) member(regular(intersection(u,y)),complement(restrict(v,w,x)))*.
% 299.85/300.45  242305[5:Res:29628.0,8147.0] ||  -> equal(complement(complement(symmetric_difference(u,cross_product(v,w)))),identity_relation) member(regular(complement(complement(symmetric_difference(u,cross_product(v,w))))),complement(restrict(u,v,w)))*.
% 299.85/300.45  242284[0:Res:20388.1,8147.0] || subclass(rest_relation,flip(symmetric_difference(u,cross_product(v,w)))) -> member(ordered_pair(ordered_pair(x,y),rest_of(ordered_pair(y,x))),complement(restrict(u,v,w)))*.
% 299.85/300.45  242283[0:Res:20387.1,8147.0] || subclass(rest_relation,rotate(symmetric_difference(u,cross_product(v,w)))) -> member(ordered_pair(ordered_pair(x,rest_of(ordered_pair(y,x))),y),complement(restrict(u,v,w)))*.
% 299.85/300.45  242444[5:Res:5579.2,756.0] || subclass(u,cantor(restrict(v,w,singleton(x)))) -> equal(intersection(y,u),identity_relation) member(regular(intersection(y,u)),segment(v,w,x))*.
% 299.85/300.45  242439[5:Res:5604.2,756.0] || subclass(u,cantor(restrict(v,w,singleton(x)))) -> equal(intersection(u,y),identity_relation) member(regular(intersection(u,y)),segment(v,w,x))*.
% 299.85/300.45  242415[0:Res:122671.0,756.0] ||  -> subclass(u,complement(cantor(restrict(v,w,singleton(x))))) member(not_subclass_element(u,complement(cantor(restrict(v,w,singleton(x))))),segment(v,w,x))*.
% 299.85/300.45  242409[0:Res:20388.1,756.0] || subclass(rest_relation,flip(cantor(restrict(u,v,singleton(w))))) -> member(ordered_pair(ordered_pair(x,y),rest_of(ordered_pair(y,x))),segment(u,v,w))*.
% 299.85/300.45  242408[0:Res:20387.1,756.0] || subclass(rest_relation,rotate(cantor(restrict(u,v,singleton(w))))) -> member(ordered_pair(ordered_pair(x,rest_of(ordered_pair(y,x))),y),segment(u,v,w))*.
% 299.85/300.45  242545[0:SpR:9097.0,20366.2] || member(u,universal_class) subclass(rest_relation,rest_of(restrict(cross_product(v,singleton(w)),x,y)))* -> member(u,segment(cross_product(x,y),v,w))*.
% 299.85/300.45  242715[4:Res:3364.1,8435.0] || member(restrict(u,v,w),universal_class) -> subclass(sum_class(restrict(u,v,w)),x) member(not_subclass_element(sum_class(restrict(u,v,w)),x),u)*.
% 299.85/300.45  244108[5:Res:3654.2,242218.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cantor(complement(cross_product(singleton(ordered_pair(u,ordered_pair(v,compose(u,v)))),universal_class))))* -> .
% 299.85/300.45  244678[21:Res:5579.2,243787.1] || subclass(u,complement(compose(complement(element_relation),inverse(element_relation)))) member(regular(intersection(v,u)),cross_product(universal_class,universal_class))* -> equal(intersection(v,u),identity_relation).
% 299.85/300.45  244673[21:Res:5604.2,243787.1] || subclass(u,complement(compose(complement(element_relation),inverse(element_relation)))) member(regular(intersection(u,v)),cross_product(universal_class,universal_class))* -> equal(intersection(u,v),identity_relation).
% 299.85/300.45  244647[21:Res:122671.0,243787.1] || member(not_subclass_element(u,complement(complement(compose(complement(element_relation),inverse(element_relation))))),cross_product(universal_class,universal_class))* -> subclass(u,complement(complement(compose(complement(element_relation),inverse(element_relation))))).
% 299.85/300.45  244641[21:Res:20388.1,243787.1] || subclass(rest_relation,flip(complement(compose(complement(element_relation),inverse(element_relation))))) member(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u))),cross_product(universal_class,universal_class))* -> .
% 299.85/300.45  244640[21:Res:20387.1,243787.1] || subclass(rest_relation,rotate(complement(compose(complement(element_relation),inverse(element_relation))))) member(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v),cross_product(universal_class,universal_class))* -> .
% 299.85/300.45  245852[0:Res:30217.2,126.0] || member(u,universal_class) equal(successor(singleton(u)),u)** subclass(successor_relation,v) well_ordering(w,v)* -> member(least(w,successor_relation),successor_relation)*.
% 299.85/300.45  247196[0:SpR:21037.0,145868.1] || subclass(union(complement(u),complement(singleton(u))),successor(u))* -> equal(symmetric_difference(complement(u),complement(singleton(u))),union(complement(u),complement(singleton(u)))).
% 299.85/300.45  248324[0:SpR:20365.2,2603.2] || member(u,universal_class) subclass(rest_relation,rest_of(v))* member(w,cross_product(u,universal_class))* member(w,v)* -> member(w,rest_of(u)).
% 299.85/300.45  248498[0:SpR:21036.0,145868.1] || subclass(union(complement(u),complement(inverse(u))),symmetrization_of(u))* -> equal(symmetric_difference(complement(u),complement(inverse(u))),union(complement(u),complement(inverse(u)))).
% 299.85/300.45  248722[0:Res:24180.2,126.0] || member(u,universal_class)* equal(rest_of(u),successor(u)) subclass(successor_relation,v) well_ordering(w,v)* -> member(least(w,successor_relation),successor_relation)*.
% 299.85/300.45  248852[5:Obv:248844.3] || equal(u,v) subclass(omega,v) member(w,unordered_pair(v,u))* -> equal(integer_of(w),identity_relation) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.45  249225[0:Rew:249197.0,34517.3] || member(u,v) subclass(v,w)* well_ordering(power_class(x),w)* -> member(ordered_pair(u,least(power_class(x),v)),complement(power_class(x)))*.
% 299.85/300.45  249255[0:Rew:249197.0,234087.2] function(u) || member(v,universal_class) subclass(universal_class,power_class(complement(power_class(w)))) member(image(u,v),image(element_relation,power_class(w)))* -> .
% 299.85/300.45  249259[5:Rew:249197.0,246514.0] ||  -> equal(union(intersection(complement(u),union(v,identity_relation)),image(element_relation,power_class(w))),complement(intersection(union(u,symmetric_difference(universal_class,v)),power_class(complement(power_class(w))))))**.
% 299.85/300.45  249260[5:Rew:249197.0,246512.0] ||  -> equal(union(intersection(union(u,identity_relation),complement(v)),image(element_relation,power_class(w))),complement(intersection(union(symmetric_difference(universal_class,u),v),power_class(complement(power_class(w))))))**.
% 299.85/300.45  249373[5:Rew:249197.0,246592.1] || subclass(omega,union(u,image(element_relation,power_class(v)))) member(w,intersection(complement(u),power_class(complement(power_class(v)))))* -> equal(integer_of(w),identity_relation).
% 299.85/300.45  249374[0:Rew:249197.0,246396.0] ||  -> equal(intersection(intersection(complement(u),power_class(complement(power_class(v)))),complement(union(u,image(element_relation,power_class(v))))),complement(union(u,image(element_relation,power_class(v)))))**.
% 299.85/300.45  249375[5:Rew:249197.0,246737.0] || subclass(intersection(complement(u),power_class(complement(power_class(v)))),union(u,image(element_relation,power_class(v))))* -> subclass(universal_class,union(u,image(element_relation,power_class(v)))).
% 299.85/300.45  249376[5:Rew:249197.0,246736.0] || subclass(union(u,image(element_relation,power_class(v))),intersection(complement(u),power_class(complement(power_class(v)))))* -> equal(union(u,image(element_relation,power_class(v))),identity_relation).
% 299.85/300.45  249406[5:Rew:249197.0,234081.1] || member(u,universal_class) subclass(u,power_class(complement(power_class(v)))) member(apply(choice,u),image(element_relation,power_class(v)))* -> equal(u,identity_relation).
% 299.85/300.45  249747[5:Rew:249197.0,246166.1] || subclass(omega,union(image(element_relation,power_class(u)),v)) member(w,intersection(power_class(complement(power_class(u))),complement(v)))* -> equal(integer_of(w),identity_relation).
% 299.85/300.45  249748[0:Rew:249197.0,245971.0] ||  -> equal(intersection(intersection(power_class(complement(power_class(u))),complement(v)),complement(union(image(element_relation,power_class(u)),v))),complement(union(image(element_relation,power_class(u)),v)))**.
% 299.85/300.45  249749[5:Rew:249197.0,246312.0] || subclass(intersection(power_class(complement(power_class(u))),complement(v)),union(image(element_relation,power_class(u)),v))* -> subclass(universal_class,union(image(element_relation,power_class(u)),v)).
% 299.85/300.46  249750[5:Rew:249197.0,246311.0] || subclass(union(image(element_relation,power_class(u)),v),intersection(power_class(complement(power_class(u))),complement(v)))* -> equal(union(image(element_relation,power_class(u)),v),identity_relation).
% 299.85/300.46  249843[3:Rew:249197.0,234110.2] inductive(power_class(image(element_relation,complement(u)))) || well_ordering(v,universal_class) member(least(v,power_class(complement(power_class(u)))),image(element_relation,power_class(u)))* -> .
% 299.85/300.46  249860[5:Rew:249197.0,246062.0] ||  -> equal(union(image(element_relation,power_class(u)),intersection(complement(v),union(w,identity_relation))),complement(intersection(power_class(complement(power_class(u))),union(v,symmetric_difference(universal_class,w)))))**.
% 299.85/300.46  249861[5:Rew:249197.0,246060.0] ||  -> equal(union(image(element_relation,power_class(u)),intersection(union(v,identity_relation),complement(w))),complement(intersection(power_class(complement(power_class(u))),union(symmetric_difference(universal_class,v),w))))**.
% 299.85/300.46  250262[5:Rew:249200.0,246485.0] ||  -> equal(union(u,image(element_relation,power_class(intersection(union(v,identity_relation),complement(w))))),union(u,complement(power_class(image(element_relation,union(symmetric_difference(universal_class,v),w))))))**.
% 299.85/300.46  250264[5:Rew:249200.0,246487.0] ||  -> equal(union(u,image(element_relation,power_class(intersection(complement(v),union(w,identity_relation))))),union(u,complement(power_class(image(element_relation,union(v,symmetric_difference(universal_class,w)))))))**.
% 299.85/300.46  251085[5:Rew:250258.0,250373.1] || subclass(union(u,complement(power_class(identity_relation))),symmetric_difference(complement(u),power_class(identity_relation)))* -> equal(symmetric_difference(complement(u),power_class(identity_relation)),union(u,complement(power_class(identity_relation)))).
% 299.85/300.46  251087[5:Rew:250286.0,250498.1] || subclass(union(u,complement(power_class(universal_class))),symmetric_difference(complement(u),power_class(universal_class)))* -> equal(symmetric_difference(complement(u),power_class(universal_class)),union(u,complement(power_class(universal_class)))).
% 299.85/300.46  250511[5:Rew:249208.0,246085.0] ||  -> equal(union(image(element_relation,power_class(intersection(union(u,identity_relation),complement(v)))),w),union(complement(power_class(image(element_relation,union(symmetric_difference(universal_class,u),v)))),w))**.
% 299.85/300.46  250512[5:Rew:249208.0,246087.0] ||  -> equal(union(image(element_relation,power_class(intersection(complement(u),union(v,identity_relation)))),w),union(complement(power_class(image(element_relation,union(u,symmetric_difference(universal_class,v))))),w))**.
% 299.85/300.46  251088[5:Rew:250502.0,250625.1] || subclass(union(complement(power_class(identity_relation)),u),symmetric_difference(power_class(identity_relation),complement(u)))* -> equal(symmetric_difference(power_class(identity_relation),complement(u)),union(complement(power_class(identity_relation)),u)).
% 299.85/300.46  251089[5:Rew:250538.0,250748.1] || subclass(union(complement(power_class(universal_class)),u),symmetric_difference(power_class(universal_class),complement(u)))* -> equal(symmetric_difference(power_class(universal_class),complement(u)),union(complement(power_class(universal_class)),u)).
% 299.85/300.46  251092[5:Rew:249197.0,249844.1] || member(regular(restrict(power_class(complement(power_class(u))),v,w)),image(element_relation,power_class(u)))* -> equal(restrict(power_class(complement(power_class(u))),v,w),identity_relation).
% 299.85/300.46  251094[5:Rew:249197.0,249960.0] || subclass(omega,image(element_relation,symmetrization_of(complement(power_class(u))))) member(v,complement(image(element_relation,symmetrization_of(complement(power_class(u))))))* -> equal(integer_of(v),identity_relation).
% 299.85/300.46  251097[5:Rew:249197.0,250085.0] || subclass(omega,image(element_relation,successor(complement(power_class(u))))) member(v,complement(image(element_relation,successor(complement(power_class(u))))))* -> equal(integer_of(v),identity_relation).
% 299.85/300.46  251121[0:Rew:249197.0,249958.0] ||  -> member(not_subclass_element(complement(symmetrization_of(complement(power_class(u)))),v),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* subclass(complement(symmetrization_of(complement(power_class(u)))),v).
% 299.85/300.46  251122[0:Rew:249197.0,250083.0] ||  -> member(not_subclass_element(complement(successor(complement(power_class(u)))),v),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* subclass(complement(successor(complement(power_class(u)))),v).
% 299.85/300.46  252580[10:Rew:251767.0,251808.2] || subclass(complement(power_class(universal_class)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(regular(complement(power_class(universal_class))),least(omega,complement(power_class(universal_class))))),identity_relation)**.
% 299.85/300.46  252582[11:Rew:251768.0,251990.2] || subclass(complement(power_class(identity_relation)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(regular(complement(power_class(identity_relation))),least(omega,complement(power_class(identity_relation))))),identity_relation)**.
% 299.85/300.46  252847[0:SpL:249200.0,2599.1] || member(u,union(complement(v),power_class(w))) member(u,union(v,complement(power_class(w)))) -> member(u,symmetric_difference(complement(v),power_class(w)))*.
% 299.85/300.46  252716[0:SpR:249200.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),union(w,complement(power_class(x)))))* member(u,union(v,intersection(complement(w),power_class(x)))).
% 299.85/300.46  252703[0:SpR:249200.0,689.1] || member(u,universal_class) -> member(u,intersection(union(v,complement(power_class(w))),complement(x)))* member(u,union(intersection(complement(v),power_class(w)),x)).
% 299.85/300.46  253180[0:SpL:249208.0,2599.1] || member(u,union(power_class(v),complement(w))) member(u,union(complement(power_class(v)),w)) -> member(u,symmetric_difference(power_class(v),complement(w)))*.
% 299.85/300.46  253047[0:SpR:249208.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),union(complement(power_class(w)),x)))* member(u,union(v,intersection(power_class(w),complement(x)))).
% 299.85/300.46  253033[0:SpR:249208.0,689.1] || member(u,universal_class) -> member(u,intersection(union(complement(power_class(v)),w),complement(x)))* member(u,union(intersection(power_class(v),complement(w)),x)).
% 299.85/300.46  253470[5:Res:5343.1,249201.0] || member(regular(restrict(image(element_relation,power_class(u)),v,w)),power_class(complement(power_class(u))))* -> equal(restrict(image(element_relation,power_class(u)),v,w),identity_relation).
% 299.85/300.46  253460[0:Res:827.3,249201.0] function(u) || member(v,universal_class) subclass(universal_class,image(element_relation,power_class(w))) member(image(u,v),power_class(complement(power_class(w))))* -> .
% 299.85/300.46  253454[5:Res:5329.3,249201.0] || member(u,universal_class) subclass(u,image(element_relation,power_class(v))) member(apply(choice,u),power_class(complement(power_class(v))))* -> equal(u,identity_relation).
% 299.85/300.46  253930[11:Res:252939.1,126.0] || equal(identity_relation,u) subclass(complement(power_class(u)),v)* well_ordering(w,v)* -> member(least(w,complement(power_class(u))),complement(power_class(u)))*.
% 299.85/300.46  255166[0:SpR:252726.0,7580.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(power_class(v)),complement(power_class(w)))) -> member(power_class(u),complement(intersection(power_class(v),power_class(w))))*.
% 299.85/300.46  256250[5:Obv:256112.3] || equal(u,v) subclass(unordered_pair(v,u),regular(w))* member(v,w) -> equal(unordered_pair(v,u),identity_relation) equal(w,identity_relation).
% 299.85/300.46  256252[5:MRR:256137.4,204351.2] || member(regular(u),cross_product(v,w)) member(regular(u),x) subclass(u,regular(restrict(x,v,w)))* -> equal(u,identity_relation).
% 299.85/300.46  256369[5:Res:2603.2,256316.0] || member(restrict(u,v,w),cross_product(v,w))* member(restrict(u,v,w),u)* -> equal(singleton(restrict(u,v,w)),identity_relation).
% 299.85/300.46  256465[0:SpR:252726.0,7615.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(power_class(v)),complement(power_class(w)))) -> member(sum_class(u),complement(intersection(power_class(v),power_class(w))))*.
% 299.85/300.46  256860[0:Res:780.2,251410.0] || member(u,universal_class) subclass(rest_relation,intersection(power_class(v),complement(w))) member(ordered_pair(u,rest_of(u)),union(complement(power_class(v)),w))* -> .
% 299.85/300.46  257052[0:Res:780.2,251419.0] || member(u,universal_class) subclass(rest_relation,intersection(complement(v),power_class(w))) member(ordered_pair(u,rest_of(u)),union(v,complement(power_class(w))))* -> .
% 299.85/300.46  257256[0:Res:5163.1,20569.2] || member(not_subclass_element(symmetric_difference(u,v),w),complement(v))* member(not_subclass_element(symmetric_difference(u,v),w),complement(u))* -> subclass(symmetric_difference(u,v),w).
% 299.85/300.46  257210[0:Res:766.2,20569.2] || subclass(u,union(v,w))* member(not_subclass_element(u,x),complement(w))* member(not_subclass_element(u,x),complement(v))* -> subclass(u,x).
% 299.85/300.46  257191[0:Res:3.1,20569.2] || member(not_subclass_element(union(u,v),w),complement(v))* member(not_subclass_element(union(u,v),w),complement(u))* -> subclass(union(u,v),w).
% 299.85/300.46  257641[5:SpL:20365.2,125904.0] || member(u,universal_class) subclass(rest_relation,rest_of(v))* subclass(omega,rest_of(u)) -> equal(integer_of(w),identity_relation) member(w,cross_product(u,universal_class))*.
% 299.85/300.46  258065[5:Res:8059.2,776.0] || well_ordering(u,universal_class) subclass(domain_of(v),w) -> equal(intersection(cantor(v),x),identity_relation) member(least(u,intersection(cantor(v),x)),w)*.
% 299.85/300.46  258055[5:Res:8059.2,8834.0] || well_ordering(u,universal_class) -> equal(intersection(symmetric_difference(v,inverse(v)),w),identity_relation) member(least(u,intersection(symmetric_difference(v,inverse(v)),w)),symmetrization_of(v))*.
% 299.85/300.46  258054[5:Res:8059.2,8898.0] || well_ordering(u,universal_class) -> equal(intersection(symmetric_difference(v,singleton(v)),w),identity_relation) member(least(u,intersection(symmetric_difference(v,singleton(v)),w)),successor(v))*.
% 299.85/300.46  258046[5:Res:8059.2,8165.1] || well_ordering(u,universal_class) member(least(u,intersection(intersection(v,w),x)),symmetric_difference(v,w))* -> equal(intersection(intersection(v,w),x),identity_relation).
% 299.85/300.46  258114[5:Rew:21036.0,258017.1] || well_ordering(u,universal_class) -> equal(symmetric_difference(complement(v),complement(inverse(v))),identity_relation) member(least(u,symmetric_difference(complement(v),complement(inverse(v)))),symmetrization_of(v))*.
% 299.85/300.46  258115[5:Rew:21037.0,258016.1] || well_ordering(u,universal_class) -> equal(symmetric_difference(complement(v),complement(singleton(v))),identity_relation) member(least(u,symmetric_difference(complement(v),complement(singleton(v)))),successor(v))*.
% 299.85/300.46  258259[5:Res:8060.2,776.0] || well_ordering(u,universal_class) subclass(domain_of(v),w) -> equal(intersection(x,cantor(v)),identity_relation) member(least(u,intersection(x,cantor(v))),w)*.
% 299.85/300.46  258249[5:Res:8060.2,8834.0] || well_ordering(u,universal_class) -> equal(intersection(v,symmetric_difference(w,inverse(w))),identity_relation) member(least(u,intersection(v,symmetric_difference(w,inverse(w)))),symmetrization_of(w))*.
% 299.85/300.46  258248[5:Res:8060.2,8898.0] || well_ordering(u,universal_class) -> equal(intersection(v,symmetric_difference(w,singleton(w))),identity_relation) member(least(u,intersection(v,symmetric_difference(w,singleton(w)))),successor(w))*.
% 299.85/300.46  258240[5:Res:8060.2,8165.1] || well_ordering(u,universal_class) member(least(u,intersection(v,intersection(w,x))),symmetric_difference(w,x))* -> equal(intersection(v,intersection(w,x)),identity_relation).
% 299.85/300.46  258388[5:Res:8057.3,249201.0] || well_ordering(u,universal_class) subclass(v,image(element_relation,power_class(w))) member(least(u,v),power_class(complement(power_class(w))))* -> equal(v,identity_relation).
% 299.85/300.46  258371[5:Res:8057.3,9.0] || well_ordering(u,universal_class) subclass(v,unordered_pair(w,x))* -> equal(v,identity_relation) equal(least(u,v),x)* equal(least(u,v),w)*.
% 299.85/300.46  258357[5:Res:8057.3,588.0] || well_ordering(u,universal_class) subclass(v,intersection(complement(w),complement(x))) member(least(u,v),union(w,x))* -> equal(v,identity_relation).
% 299.85/300.46  258991[5:SpL:20365.2,8397.0] || member(u,universal_class) subclass(rest_relation,rest_of(v))* subclass(w,rest_of(u)) -> equal(w,identity_relation) member(regular(w),cross_product(u,universal_class))*.
% 299.85/300.46  259138[5:Res:256424.0,1043.0] ||  -> equal(singleton(complement(ordered_pair(u,v))),identity_relation)** equal(unordered_pair(u,singleton(v)),complement(ordered_pair(u,v))) equal(complement(ordered_pair(u,v)),singleton(u)).
% 299.85/300.46  259129[5:Res:256424.0,20569.2] || member(complement(union(u,v)),complement(v))* member(complement(union(u,v)),complement(u))* -> equal(singleton(complement(union(u,v))),identity_relation).
% 299.85/300.46  259120[5:Res:256424.0,18.0] ||  -> equal(singleton(complement(cross_product(u,v))),identity_relation) equal(ordered_pair(first(complement(cross_product(u,v))),second(complement(cross_product(u,v)))),complement(cross_product(u,v)))**.
% 299.85/300.46  259224[5:SpL:5338.1,256435.0] || subclass(regular(cross_product(u,v)),unordered_pair(first(regular(cross_product(u,v))),singleton(second(regular(cross_product(u,v))))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.46  259890[0:Res:8441.2,20569.2] || subclass(u,symmetric_difference(v,w))* member(not_subclass_element(u,x),complement(w))* member(not_subclass_element(u,x),complement(v))* -> subclass(u,x).
% 299.85/300.46  259862[0:SpR:252726.0,8441.2] || subclass(u,symmetric_difference(complement(power_class(v)),complement(power_class(w)))) -> subclass(u,x) member(not_subclass_element(u,x),complement(intersection(power_class(v),power_class(w))))*.
% 299.85/300.46  259938[0:Obv:259893.2] || subclass(u,symmetric_difference(v,w)) member(not_subclass_element(u,intersection(x,union(v,w))),x)* -> subclass(u,intersection(x,union(v,w))).
% 299.85/300.46  260130[0:Res:46090.0,8430.0] || subclass(range_of(u),v) -> subclass(restrict(cantor(inverse(u)),w,x),y) member(not_subclass_element(restrict(cantor(inverse(u)),w,x),y),v)*.
% 299.85/300.46  260114[5:Res:160697.0,8430.0] || subclass(segment(universal_class,u,v),w) -> subclass(cantor(cross_product(u,singleton(v))),x) member(not_subclass_element(cantor(cross_product(u,singleton(v))),x),w)*.
% 299.85/300.46  260099[5:Res:122509.1,8430.0] || connected(u,v)* subclass(complement(complement(symmetrization_of(u))),w)* -> subclass(cross_product(v,v),x) member(not_subclass_element(cross_product(v,v),x),w)*.
% 299.85/300.46  260077[0:Res:9004.0,8430.0] || subclass(symmetrization_of(u),v) -> subclass(symmetric_difference(complement(u),complement(inverse(u))),w) member(not_subclass_element(symmetric_difference(complement(u),complement(inverse(u))),w),v)*.
% 299.85/300.46  260075[0:Res:9005.0,8430.0] || subclass(successor(u),v) -> subclass(symmetric_difference(complement(u),complement(singleton(u))),w) member(not_subclass_element(symmetric_difference(complement(u),complement(singleton(u))),w),v)*.
% 299.85/300.46  260066[0:Res:130.2,8430.0] || connected(u,v) subclass(v,w) -> well_ordering(u,v) subclass(not_well_ordering(u,v),x) member(not_subclass_element(not_well_ordering(u,v),x),w)*.
% 299.85/300.46  260343[0:Res:8213.2,249201.0] || subclass(u,image(element_relation,power_class(v))) member(not_subclass_element(intersection(w,u),x),power_class(complement(power_class(v))))* -> subclass(intersection(w,u),x).
% 299.85/300.46  260312[0:Res:8213.2,588.0] || subclass(u,intersection(complement(v),complement(w))) member(not_subclass_element(intersection(x,u),y),union(v,w))* -> subclass(intersection(x,u),y).
% 299.85/300.46  260661[5:Res:260484.1,989.1] || subclass(universal_class,not_well_ordering(u,cantor(v)))* connected(u,cantor(v)) -> well_ordering(u,cantor(v)) equal(not_well_ordering(u,cantor(v)),cantor(v)).
% 299.85/300.46  260903[0:Res:8216.1,776.0] || subclass(domain_of(u),v) -> subclass(intersection(w,intersection(x,cantor(u))),y) member(not_subclass_element(intersection(w,intersection(x,cantor(u))),y),v)*.
% 299.85/300.46  260900[0:Res:8216.1,158.0] ||  -> subclass(intersection(u,intersection(v,omega)),w) equal(integer_of(not_subclass_element(intersection(u,intersection(v,omega)),w)),not_subclass_element(intersection(u,intersection(v,omega)),w))**.
% 299.85/300.46  260893[0:Res:8216.1,8834.0] ||  -> subclass(intersection(u,intersection(v,symmetric_difference(w,inverse(w)))),x) member(not_subclass_element(intersection(u,intersection(v,symmetric_difference(w,inverse(w)))),x),symmetrization_of(w))*.
% 299.85/300.46  260892[0:Res:8216.1,8898.0] ||  -> subclass(intersection(u,intersection(v,symmetric_difference(w,singleton(w)))),x) member(not_subclass_element(intersection(u,intersection(v,symmetric_difference(w,singleton(w)))),x),successor(w))*.
% 299.85/300.46  260884[0:Res:8216.1,8165.1] || member(not_subclass_element(intersection(u,intersection(v,intersection(w,x))),y),symmetric_difference(w,x))* -> subclass(intersection(u,intersection(v,intersection(w,x))),y).
% 299.85/300.46  261286[5:Res:261060.0,5318.0] ||  -> equal(intersection(u,restrict(restrict(v,w,x),y,z)),identity_relation) member(regular(intersection(u,restrict(restrict(v,w,x),y,z))),v)*.
% 299.85/300.46  261473[0:Res:8215.1,776.0] || subclass(domain_of(u),v) -> subclass(intersection(w,intersection(cantor(u),x)),y) member(not_subclass_element(intersection(w,intersection(cantor(u),x)),y),v)*.
% 299.85/300.46  261470[0:Res:8215.1,158.0] ||  -> subclass(intersection(u,intersection(omega,v)),w) equal(integer_of(not_subclass_element(intersection(u,intersection(omega,v)),w)),not_subclass_element(intersection(u,intersection(omega,v)),w))**.
% 299.85/300.46  261463[0:Res:8215.1,8834.0] ||  -> subclass(intersection(u,intersection(symmetric_difference(v,inverse(v)),w)),x) member(not_subclass_element(intersection(u,intersection(symmetric_difference(v,inverse(v)),w)),x),symmetrization_of(v))*.
% 299.85/300.46  261462[0:Res:8215.1,8898.0] ||  -> subclass(intersection(u,intersection(symmetric_difference(v,singleton(v)),w)),x) member(not_subclass_element(intersection(u,intersection(symmetric_difference(v,singleton(v)),w)),x),successor(v))*.
% 299.85/300.46  261454[0:Res:8215.1,8165.1] || member(not_subclass_element(intersection(u,intersection(intersection(v,w),x)),y),symmetric_difference(v,w))* -> subclass(intersection(u,intersection(intersection(v,w),x)),y).
% 299.85/300.46  261603[0:Rew:21036.0,261401.0] ||  -> subclass(intersection(u,symmetric_difference(complement(v),complement(inverse(v)))),w) member(not_subclass_element(intersection(u,symmetric_difference(complement(v),complement(inverse(v)))),w),symmetrization_of(v))*.
% 299.85/300.46  261604[0:Rew:21037.0,261400.0] ||  -> subclass(intersection(u,symmetric_difference(complement(v),complement(singleton(v)))),w) member(not_subclass_element(intersection(u,symmetric_difference(complement(v),complement(singleton(v)))),w),successor(v))*.
% 299.85/300.46  261987[0:Res:8307.2,249201.0] || subclass(u,image(element_relation,power_class(v))) member(not_subclass_element(intersection(u,w),x),power_class(complement(power_class(v))))* -> subclass(intersection(u,w),x).
% 299.85/300.46  261956[0:Res:8307.2,588.0] || subclass(u,intersection(complement(v),complement(w))) member(not_subclass_element(intersection(u,x),y),union(v,w))* -> subclass(intersection(u,x),y).
% 299.85/300.46  262170[5:Res:261657.0,8397.0] ||  -> equal(intersection(u,complement(complement(restrict(v,w,x)))),identity_relation) member(regular(intersection(u,complement(complement(restrict(v,w,x))))),cross_product(w,x))*.
% 299.85/300.46  262377[0:Res:8310.1,776.0] || subclass(domain_of(u),v) -> subclass(intersection(intersection(w,cantor(u)),x),y) member(not_subclass_element(intersection(intersection(w,cantor(u)),x),y),v)*.
% 299.85/300.46  262374[0:Res:8310.1,158.0] ||  -> subclass(intersection(intersection(u,omega),v),w) equal(integer_of(not_subclass_element(intersection(intersection(u,omega),v),w)),not_subclass_element(intersection(intersection(u,omega),v),w))**.
% 299.85/300.46  262367[0:Res:8310.1,8834.0] ||  -> subclass(intersection(intersection(u,symmetric_difference(v,inverse(v))),w),x) member(not_subclass_element(intersection(intersection(u,symmetric_difference(v,inverse(v))),w),x),symmetrization_of(v))*.
% 299.85/300.46  262366[0:Res:8310.1,8898.0] ||  -> subclass(intersection(intersection(u,symmetric_difference(v,singleton(v))),w),x) member(not_subclass_element(intersection(intersection(u,symmetric_difference(v,singleton(v))),w),x),successor(v))*.
% 299.85/300.46  262358[0:Res:8310.1,8165.1] || member(not_subclass_element(intersection(intersection(u,intersection(v,w)),x),y),symmetric_difference(v,w))* -> subclass(intersection(intersection(u,intersection(v,w)),x),y).
% 299.85/300.46  262816[5:Res:262607.0,8397.0] ||  -> equal(complement(complement(intersection(u,restrict(v,w,x)))),identity_relation) member(regular(complement(complement(intersection(u,restrict(v,w,x))))),cross_product(w,x))*.
% 299.85/300.46  263068[0:Res:8309.1,776.0] || subclass(domain_of(u),v) -> subclass(intersection(intersection(cantor(u),w),x),y) member(not_subclass_element(intersection(intersection(cantor(u),w),x),y),v)*.
% 299.85/300.46  263065[0:Res:8309.1,158.0] ||  -> subclass(intersection(intersection(omega,u),v),w) equal(integer_of(not_subclass_element(intersection(intersection(omega,u),v),w)),not_subclass_element(intersection(intersection(omega,u),v),w))**.
% 299.85/300.46  263058[0:Res:8309.1,8834.0] ||  -> subclass(intersection(intersection(symmetric_difference(u,inverse(u)),v),w),x) member(not_subclass_element(intersection(intersection(symmetric_difference(u,inverse(u)),v),w),x),symmetrization_of(u))*.
% 299.85/300.46  263057[0:Res:8309.1,8898.0] ||  -> subclass(intersection(intersection(symmetric_difference(u,singleton(u)),v),w),x) member(not_subclass_element(intersection(intersection(symmetric_difference(u,singleton(u)),v),w),x),successor(u))*.
% 299.85/300.46  263049[0:Res:8309.1,8165.1] || member(not_subclass_element(intersection(intersection(intersection(u,v),w),x),y),symmetric_difference(u,v))* -> subclass(intersection(intersection(intersection(u,v),w),x),y).
% 299.85/300.46  263199[0:Rew:21036.0,262995.0] ||  -> subclass(intersection(symmetric_difference(complement(u),complement(inverse(u))),v),w) member(not_subclass_element(intersection(symmetric_difference(complement(u),complement(inverse(u))),v),w),symmetrization_of(u))*.
% 299.85/300.46  263200[0:Rew:21037.0,262994.0] ||  -> subclass(intersection(symmetric_difference(complement(u),complement(singleton(u))),v),w) member(not_subclass_element(intersection(symmetric_difference(complement(u),complement(singleton(u))),v),w),successor(u))*.
% 299.85/300.46  263322[0:Res:263232.0,3704.1] || member(u,universal_class) well_ordering(v,complement(singleton(w))) -> member(u,successor(w))* member(least(v,complement(successor(w))),complement(successor(w)))*.
% 299.85/300.46  263354[0:Res:263234.0,3704.1] || member(u,universal_class) well_ordering(v,complement(inverse(w))) -> member(u,symmetrization_of(w))* member(least(v,complement(symmetrization_of(w))),complement(symmetrization_of(w)))*.
% 299.85/300.46  263692[3:SpR:20365.2,7309.1] || member(u,universal_class) subclass(rest_relation,rest_of(inverse(cross_product(u,universal_class))))* asymmetric(cross_product(u,universal_class),v) -> section(rest_of(u),v,v)*.
% 299.85/300.46  263761[5:Res:263405.0,8397.0] ||  -> equal(intersection(complement(complement(restrict(u,v,w))),x),identity_relation) member(regular(intersection(complement(complement(restrict(u,v,w))),x)),cross_product(v,w))*.
% 299.85/300.46  263941[5:Res:263745.0,8397.0] ||  -> equal(complement(complement(complement(complement(restrict(u,v,w))))),identity_relation) member(regular(complement(complement(complement(complement(restrict(u,v,w)))))),cross_product(v,w))*.
% 299.85/300.46  264110[5:Res:263450.0,8397.0] ||  -> equal(complement(complement(intersection(restrict(u,v,w),x))),identity_relation) member(regular(complement(complement(intersection(restrict(u,v,w),x)))),cross_product(v,w))*.
% 299.85/300.46  264463[5:SpR:118523.0,146221.1] || subclass(complement(image(successor_relation,universal_class)),complement(singleton(identity_relation))) -> subclass(union(complement(singleton(identity_relation)),complement(image(successor_relation,universal_class))),complement(complement(image(successor_relation,universal_class))))*.
% 299.85/300.46  264488[5:Res:263814.0,5215.0] || well_ordering(u,complement(inverse(identity_relation))) -> equal(symmetric_difference(universal_class,symmetrization_of(identity_relation)),identity_relation) member(least(u,symmetric_difference(universal_class,symmetrization_of(identity_relation))),symmetric_difference(universal_class,symmetrization_of(identity_relation)))*.
% 299.85/300.46  264487[5:Res:263814.0,3692.1] inductive(symmetric_difference(universal_class,symmetrization_of(identity_relation))) || well_ordering(u,complement(inverse(identity_relation))) -> member(least(u,symmetric_difference(universal_class,symmetrization_of(identity_relation))),symmetric_difference(universal_class,symmetrization_of(identity_relation)))*.
% 299.85/300.46  265209[5:Res:263560.1,3704.1] || equal(complement(u),identity_relation) member(v,universal_class)* well_ordering(w,u)* -> member(v,x)* member(least(w,complement(x)),complement(x))*.
% 299.85/300.46  265503[5:Res:28995.3,23.0] function(intersection(u,v)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(intersection(u,v),identity_relation) member(least(element_relation,intersection(u,v)),v)*.
% 299.85/300.46  265502[5:Res:28995.3,22.0] function(intersection(u,v)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(intersection(u,v),identity_relation) member(least(element_relation,intersection(u,v)),u)*.
% 299.85/300.46  265500[5:Res:28995.3,222432.0] function(complement(complement(u))) || member(cross_product(universal_class,universal_class),universal_class) -> equal(complement(complement(u)),identity_relation) member(least(element_relation,complement(complement(u))),u)*.
% 299.85/300.46  265859[5:Res:262147.0,5318.0] ||  -> equal(restrict(complement(complement(restrict(u,v,w))),x,y),identity_relation) member(regular(restrict(complement(complement(restrict(u,v,w))),x,y)),u)*.
% 299.85/300.46  265914[0:SpR:252738.0,5172.1] || subclass(universal_class,symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v)))) -> member(unordered_pair(w,x),complement(intersection(power_class(complement(power_class(u))),power_class(v))))*.
% 299.85/300.46  266001[5:Res:262737.0,5318.0] ||  -> equal(complement(complement(restrict(restrict(u,v,w),x,y))),identity_relation) member(regular(complement(complement(restrict(restrict(u,v,w),x,y)))),u)*.
% 299.85/300.46  266159[5:Res:261130.0,5318.0] ||  -> equal(restrict(intersection(u,restrict(v,w,x)),y,z),identity_relation) member(regular(restrict(intersection(u,restrict(v,w,x)),y,z)),v)*.
% 299.85/300.46  266254[0:SpR:253065.0,5172.1] || subclass(universal_class,symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v)))) -> member(unordered_pair(w,x),complement(intersection(power_class(u),power_class(complement(power_class(v))))))*.
% 299.85/300.46  266404[5:Res:261700.0,5318.0] ||  -> equal(restrict(intersection(restrict(u,v,w),x),y,z),identity_relation) member(regular(restrict(intersection(restrict(u,v,w),x),y,z)),u)*.
% 299.85/300.46  266534[5:Res:262535.0,5318.0] ||  -> equal(intersection(restrict(restrict(u,v,w),x,y),z),identity_relation) member(regular(intersection(restrict(restrict(u,v,w),x,y),z)),u)*.
% 299.85/300.46  266796[0:Res:53042.1,123566.0] || well_ordering(u,universal_class) -> equal(ordered_pair(first(ordered_pair(least(u,rest_relation),omega)),second(ordered_pair(least(u,rest_relation),omega))),ordered_pair(least(u,rest_relation),omega))**.
% 299.85/300.46  266795[0:Res:53055.1,123566.0] || well_ordering(u,rest_relation) -> equal(ordered_pair(first(ordered_pair(least(u,rest_relation),omega)),second(ordered_pair(least(u,rest_relation),omega))),ordered_pair(least(u,rest_relation),omega))**.
% 299.85/300.46  266594[0:Res:8771.1,123566.0] || well_ordering(u,universal_class) -> equal(ordered_pair(first(ordered_pair(least(u,universal_class),omega)),second(ordered_pair(least(u,universal_class),omega))),ordered_pair(least(u,universal_class),omega))**.
% 299.85/300.46  267010[5:MRR:266981.3,204401.1] || member(ordered_pair(u,sum_class(v)),compose(w,x))* member(v,universal_class) subclass(universal_class,regular(image(w,image(x,singleton(u)))))* -> .
% 299.85/300.46  267147[5:MRR:267105.3,204401.1] || member(ordered_pair(u,power_class(v)),compose(w,x))* member(v,universal_class) subclass(universal_class,regular(image(w,image(x,singleton(u)))))* -> .
% 299.85/300.46  267167[7:Res:263210.0,5259.0] || well_ordering(u,singleton(identity_relation)) -> equal(segment(u,complement(union(v,complement(singleton(identity_relation)))),least(u,complement(union(v,complement(singleton(identity_relation)))))),identity_relation)**.
% 299.85/300.46  267212[5:Res:263211.0,5259.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(segment(u,complement(union(v,complement(inverse(identity_relation)))),least(u,complement(union(v,complement(inverse(identity_relation)))))),identity_relation)**.
% 299.85/300.46  267207[5:Res:263211.0,8430.0] || subclass(symmetrization_of(identity_relation),u) -> subclass(complement(union(v,complement(inverse(identity_relation)))),w) member(not_subclass_element(complement(union(v,complement(inverse(identity_relation)))),w),u)*.
% 299.85/300.46  267303[7:Res:264270.0,5259.0] || well_ordering(u,singleton(identity_relation)) -> equal(segment(u,complement(union(complement(singleton(identity_relation)),v)),least(u,complement(union(complement(singleton(identity_relation)),v)))),identity_relation)**.
% 299.85/300.46  267357[5:Res:264271.0,5259.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(segment(u,complement(union(complement(inverse(identity_relation)),v)),least(u,complement(union(complement(inverse(identity_relation)),v)))),identity_relation)**.
% 299.85/300.46  267352[5:Res:264271.0,8430.0] || subclass(symmetrization_of(identity_relation),u) -> subclass(complement(union(complement(inverse(identity_relation)),v)),w) member(not_subclass_element(complement(union(complement(inverse(identity_relation)),v)),w),u)*.
% 299.85/300.46  267697[5:Res:267560.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,complement(complement(complement(complement(symmetrization_of(identity_relation))))),least(u,complement(complement(complement(complement(symmetrization_of(identity_relation))))))),identity_relation)**.
% 299.85/300.46  267692[5:Res:267560.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(complement(complement(complement(complement(symmetrization_of(identity_relation))))),v) member(not_subclass_element(complement(complement(complement(complement(symmetrization_of(identity_relation))))),v),u)*.
% 299.85/300.46  267787[5:Res:267559.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,complement(complement(intersection(v,symmetrization_of(identity_relation)))),least(u,complement(complement(intersection(v,symmetrization_of(identity_relation)))))),identity_relation)**.
% 299.85/300.46  267782[5:Res:267559.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(complement(complement(intersection(v,symmetrization_of(identity_relation)))),w) member(not_subclass_element(complement(complement(intersection(v,symmetrization_of(identity_relation)))),w),u)*.
% 299.85/300.46  267878[5:Res:267561.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,complement(complement(intersection(symmetrization_of(identity_relation),v))),least(u,complement(complement(intersection(symmetrization_of(identity_relation),v))))),identity_relation)**.
% 299.85/300.46  267873[5:Res:267561.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(complement(complement(intersection(symmetrization_of(identity_relation),v))),w) member(not_subclass_element(complement(complement(intersection(symmetrization_of(identity_relation),v))),w),u)*.
% 299.85/300.46  267988[5:Res:267565.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,complement(union(v,complement(inverse(identity_relation)))),least(u,complement(union(v,complement(inverse(identity_relation)))))),identity_relation)**.
% 299.85/300.46  267983[5:Res:267565.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(complement(union(v,complement(inverse(identity_relation)))),w) member(not_subclass_element(complement(union(v,complement(inverse(identity_relation)))),w),u)*.
% 299.85/300.46  268018[5:Res:267566.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,complement(union(complement(inverse(identity_relation)),v)),least(u,complement(union(complement(inverse(identity_relation)),v)))),identity_relation)**.
% 299.85/300.46  268013[5:Res:267566.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(complement(union(complement(inverse(identity_relation)),v)),w) member(not_subclass_element(complement(union(complement(inverse(identity_relation)),v)),w),u)*.
% 299.85/300.46  268064[5:Res:267567.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,intersection(complement(complement(symmetrization_of(identity_relation))),v),least(u,intersection(complement(complement(symmetrization_of(identity_relation))),v))),identity_relation)**.
% 299.85/300.46  268059[5:Res:267567.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(intersection(complement(complement(symmetrization_of(identity_relation))),v),w) member(not_subclass_element(intersection(complement(complement(symmetrization_of(identity_relation))),v),w),u)*.
% 299.85/300.46  268154[5:Res:267571.0,5259.0] || well_ordering(u,inverse(identity_relation)) -> equal(segment(u,intersection(v,complement(complement(symmetrization_of(identity_relation)))),least(u,intersection(v,complement(complement(symmetrization_of(identity_relation)))))),identity_relation)**.
% 299.85/300.46  268149[5:Res:267571.0,8430.0] || subclass(inverse(identity_relation),u) -> subclass(intersection(v,complement(complement(symmetrization_of(identity_relation)))),w) member(not_subclass_element(intersection(v,complement(complement(symmetrization_of(identity_relation)))),w),u)*.
% 299.85/300.46  268344[5:Res:263849.0,5259.0] || well_ordering(u,range_of(v)) -> equal(segment(u,symmetric_difference(universal_class,complement(cantor(inverse(v)))),least(u,symmetric_difference(universal_class,complement(cantor(inverse(v)))))),identity_relation)**.
% 299.85/300.46  268339[5:Res:263849.0,8430.0] || subclass(range_of(u),v) -> subclass(symmetric_difference(universal_class,complement(cantor(inverse(u)))),w) member(not_subclass_element(symmetric_difference(universal_class,complement(cantor(inverse(u)))),w),v)*.
% 299.85/300.46  268946[5:Rew:29180.2,268945.2] || equal(u,v) member(regular(intersection(w,v)),unordered_pair(v,u))* -> equal(intersection(w,v),identity_relation) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.46  268952[5:MRR:268893.0,29542.1] ||  -> equal(apply(u,regular(intersection(v,regular(domain_of(u))))),sum_class(range_of(identity_relation)))** equal(intersection(v,regular(domain_of(u))),identity_relation) equal(domain_of(u),identity_relation).
% 299.85/300.46  268953[5:MRR:268891.0,29542.1] ||  -> member(regular(intersection(u,regular(union(v,w)))),complement(v))* equal(intersection(u,regular(union(v,w))),identity_relation) equal(union(v,w),identity_relation).
% 299.85/300.46  268954[5:MRR:268890.0,29542.1] ||  -> member(regular(intersection(u,regular(union(v,w)))),complement(w))* equal(intersection(u,regular(union(v,w))),identity_relation) equal(union(v,w),identity_relation).
% 299.85/300.46  269124[5:Rew:29180.2,269123.2] || equal(u,v) member(regular(intersection(v,w)),unordered_pair(v,u))* -> equal(intersection(v,w),identity_relation) equal(unordered_pair(v,u),identity_relation).
% 299.85/300.46  269130[5:MRR:269069.0,29542.1] ||  -> equal(apply(u,regular(intersection(regular(domain_of(u)),v))),sum_class(range_of(identity_relation)))** equal(intersection(regular(domain_of(u)),v),identity_relation) equal(domain_of(u),identity_relation).
% 299.85/300.46  269131[5:MRR:269067.0,29542.1] ||  -> member(regular(intersection(regular(union(u,v)),w)),complement(u))* equal(intersection(regular(union(u,v)),w),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.46  269132[5:MRR:269066.0,29542.1] ||  -> member(regular(intersection(regular(union(u,v)),w)),complement(v))* equal(intersection(regular(union(u,v)),w),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.46  269572[17:Res:195177.2,7532.1] || member(u,universal_class) subclass(domain_relation,power_class(intersection(complement(v),complement(w)))) member(ordered_pair(u,identity_relation),image(element_relation,union(v,w)))* -> .
% 299.85/300.46  269783[5:Res:260367.1,27621.1] || subclass(u,singleton(v))* member(intersection(w,u),universal_class) -> equal(intersection(w,u),identity_relation) equal(apply(choice,intersection(w,u)),v)*.
% 299.85/300.46  270119[0:SpR:251233.0,145868.1] || subclass(union(power_class(u),complement(v)),union(complement(power_class(u)),v))* -> equal(symmetric_difference(power_class(u),complement(v)),union(power_class(u),complement(v))).
% 299.85/300.46  270295[5:Rew:251233.0,270138.1] || subclass(union(complement(power_class(u)),v),w) -> equal(symmetric_difference(power_class(u),complement(v)),identity_relation) member(regular(symmetric_difference(power_class(u),complement(v))),w)*.
% 299.85/300.46  270296[5:Rew:251233.0,270131.0] ||  -> equal(intersection(u,symmetric_difference(power_class(v),complement(w))),identity_relation) member(regular(intersection(u,symmetric_difference(power_class(v),complement(w)))),union(complement(power_class(v)),w))*.
% 299.85/300.46  270299[5:Rew:251233.0,270110.0] ||  -> equal(intersection(symmetric_difference(power_class(u),complement(v)),w),identity_relation) member(regular(intersection(symmetric_difference(power_class(u),complement(v)),w)),union(complement(power_class(u)),v))*.
% 299.85/300.46  33192[0:Res:3892.3,2.0] || member(u,universal_class) member(v,universal_class) equal(compose(w,v),u)* subclass(compose_class(w),x)* -> member(ordered_pair(v,u),x)*.
% 299.85/300.46  20944[0:SpR:581.0,160.0] ||  -> equal(intersection(complement(intersection(u,intersection(complement(v),complement(w)))),complement(intersection(complement(u),union(v,w)))),symmetric_difference(u,intersection(complement(v),complement(w))))**.
% 299.85/300.46  20891[0:SpR:580.0,160.0] ||  -> equal(intersection(complement(intersection(intersection(complement(u),complement(v)),w)),complement(intersection(union(u,v),complement(w)))),symmetric_difference(intersection(complement(u),complement(v)),w))**.
% 299.85/300.46  34147[0:Res:3654.2,596.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,restrict(w,x,y))* -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),w)*.
% 299.85/300.46  4800[0:Res:133.1,2957.1] single_valued_class(domain_of(restrict(u,v,cross_product(universal_class,universal_class)))) || section(u,cross_product(universal_class,universal_class),v) -> function(domain_of(restrict(u,v,cross_product(universal_class,universal_class))))*.
% 299.85/300.46  2606[0:Res:24.2,338.0] || member(not_subclass_element(complement(intersection(u,v)),w),v)* member(not_subclass_element(complement(intersection(u,v)),w),u)* -> subclass(complement(intersection(u,v)),w).
% 299.85/300.46  30843[0:Res:764.2,2599.1] || member(u,universal_class) subclass(universal_class,complement(intersection(v,w))) member(power_class(u),union(v,w)) -> member(power_class(u),symmetric_difference(v,w))*.
% 299.85/300.46  34332[0:Res:57.1,3336.0] || member(u,universal_class) member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,power_class(u))),second(ordered_pair(v,power_class(u)))),ordered_pair(v,power_class(u)))**.
% 299.85/300.46  47767[0:Res:783.1,1043.0] || subclass(ordered_pair(u,v),ordered_pair(w,x))* -> equal(unordered_pair(u,singleton(v)),unordered_pair(w,singleton(x))) equal(unordered_pair(u,singleton(v)),singleton(w)).
% 299.85/300.46  34706[0:Rew:1044.1,34705.1] || member(u,v) member(u,w) -> equal(not_subclass_element(unordered_pair(x,u),intersection(w,v)),x)** subclass(unordered_pair(x,u),intersection(w,v)).
% 299.85/300.46  34708[0:Rew:1044.2,34707.1] || member(u,v) member(u,w) -> equal(not_subclass_element(unordered_pair(u,x),intersection(w,v)),x)** subclass(unordered_pair(u,x),intersection(w,v)).
% 299.85/300.46  118187[0:Obv:118115.1] || member(u,v) -> equal(not_subclass_element(unordered_pair(u,w),intersection(v,unordered_pair(u,w))),w)** subclass(unordered_pair(u,w),intersection(v,unordered_pair(u,w))).
% 299.85/300.46  118186[0:Obv:118116.1] || member(u,v) -> equal(not_subclass_element(unordered_pair(w,u),intersection(v,unordered_pair(w,u))),w)** subclass(unordered_pair(w,u),intersection(v,unordered_pair(w,u))).
% 299.85/300.46  47758[0:Res:783.1,18.0] || subclass(ordered_pair(u,v),cross_product(w,x))* -> equal(ordered_pair(first(unordered_pair(u,singleton(v))),second(unordered_pair(u,singleton(v)))),unordered_pair(u,singleton(v)))**.
% 299.85/300.46  161131[0:Res:3654.2,119626.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(universal_class,w)) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),complement(w))*.
% 299.85/300.46  161130[0:Res:3654.2,119659.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(universal_class,w)) member(ordered_pair(u,ordered_pair(v,compose(u,v))),w)* -> .
% 299.85/300.46  30844[0:Res:765.2,2599.1] || member(u,universal_class) subclass(universal_class,complement(intersection(v,w))) member(sum_class(u),union(v,w)) -> member(sum_class(u),symmetric_difference(v,w))*.
% 299.85/300.46  34334[0:Res:55.1,3336.0] || member(u,universal_class) member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,sum_class(u))),second(ordered_pair(v,sum_class(u)))),ordered_pair(v,sum_class(u)))**.
% 299.85/300.46  40908[0:Res:3654.2,40810.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,rest_of(ordered_pair(u,ordered_pair(v,compose(u,v)))))* subclass(universal_class,complement(element_relation)) -> .
% 299.85/300.46  30838[5:Res:27132.1,2599.1] || subclass(domain_relation,complement(complement(complement(intersection(u,v)))))* member(ordered_pair(identity_relation,identity_relation),union(u,v)) -> member(ordered_pair(identity_relation,identity_relation),symmetric_difference(u,v)).
% 299.85/300.46  34125[5:SpR:12194.1,3654.2] || equal(compose_class(u),domain_relation) member(ordered_pair(u,identity_relation),cross_product(universal_class,universal_class)) subclass(composition_function,v) -> member(ordered_pair(u,ordered_pair(identity_relation,identity_relation)),v)*.
% 299.85/300.46  34033[5:SpL:5338.1,146.0] || member(regular(cross_product(u,v)),rest_relation) -> equal(cross_product(u,v),identity_relation) equal(rest_of(first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.46  34035[5:SpL:5338.1,46.0] || member(regular(cross_product(u,v)),successor_relation) -> equal(cross_product(u,v),identity_relation) equal(successor(first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.46  34021[5:SpL:5338.1,100.0] || member(regular(cross_product(u,v)),domain_relation) -> equal(cross_product(u,v),identity_relation) equal(domain_of(first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.46  34124[5:SpR:5629.1,3654.2] function(u) || member(ordered_pair(u,inverse(u)),cross_product(universal_class,universal_class)) subclass(composition_function,v) -> member(ordered_pair(u,ordered_pair(inverse(u),identity_relation)),v)*.
% 299.85/300.46  34123[5:SpR:5630.1,3654.2] single_valued_class(u) || member(ordered_pair(u,inverse(u)),cross_product(universal_class,universal_class)) subclass(composition_function,v) -> member(ordered_pair(u,ordered_pair(inverse(u),identity_relation)),v)*.
% 299.85/300.46  51986[5:Res:943.1,8090.0] || member(regular(regular(complement(intersection(u,v)))),symmetric_difference(u,v))* -> equal(regular(complement(intersection(u,v))),identity_relation) equal(complement(intersection(u,v)),identity_relation).
% 299.85/300.46  35187[5:Rew:930.0,35050.0] ||  -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),identity_relation) member(regular(symmetric_difference(complement(intersection(u,v)),union(u,v))),complement(symmetric_difference(u,v)))*.
% 299.85/300.46  20146[0:SpR:123.0,781.2] || member(restrict(u,v,singleton(w)),universal_class) subclass(domain_relation,x) -> member(ordered_pair(restrict(u,v,singleton(w)),segment(u,v,w)),x)*.
% 299.85/300.46  4799[0:Res:130.2,2957.1] single_valued_class(not_well_ordering(u,cross_product(universal_class,universal_class))) || connected(u,cross_product(universal_class,universal_class)) -> well_ordering(u,cross_product(universal_class,universal_class)) function(not_well_ordering(u,cross_product(universal_class,universal_class)))*.
% 299.85/300.46  183433[5:Res:5294.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(intersection(u,w),identity_relation) equal(integer_of(ordered_pair(regular(intersection(u,w)),least(omega,u))),identity_relation)**.
% 299.85/300.46  183453[5:Res:117277.0,5490.0] || subclass(inverse(singleton(u)),v)* well_ordering(omega,v) -> asymmetric(singleton(u),w)* equal(integer_of(ordered_pair(u,least(omega,inverse(singleton(u))))),identity_relation)**.
% 299.85/300.46  183458[5:Res:29487.1,5490.0] || member(u,element_relation) subclass(compose(element_relation,universal_class),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(u,least(omega,compose(element_relation,universal_class)))),identity_relation)**.
% 299.85/300.46  183482[5:Res:5295.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(intersection(w,u),identity_relation) equal(integer_of(ordered_pair(regular(intersection(w,u)),least(omega,u))),identity_relation)**.
% 299.85/300.46  183487[5:Res:651.0,5490.0] || subclass(singleton(singleton(singleton(u))),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(singleton(singleton(u)),least(omega,singleton(singleton(singleton(u)))))),identity_relation)**.
% 299.85/300.46  183505[5:Res:5288.2,5490.0] || subclass(omega,u) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(w),identity_relation) equal(integer_of(ordered_pair(w,least(omega,u))),identity_relation)**.
% 299.85/300.46  183507[5:Res:144786.1,5490.0] || equal(symmetric_difference(universal_class,u),universal_class) subclass(complement(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(omega,least(omega,complement(u)))),identity_relation)**.
% 299.85/300.46  183521[5:Res:124837.1,5490.0] || equal(symmetric_difference(universal_class,u),universal_class) subclass(complement(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(u)))),identity_relation)**.
% 299.85/300.46  183531[7:Res:179749.0,5490.0] || subclass(union(u,identity_relation),v)* well_ordering(omega,v) -> member(identity_relation,complement(u)) equal(integer_of(ordered_pair(identity_relation,least(omega,union(u,identity_relation)))),identity_relation)**.
% 299.85/300.46  183532[7:Res:179748.1,5490.0] || member(identity_relation,u) subclass(union(u,identity_relation),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,union(u,identity_relation)))),identity_relation)**.
% 299.85/300.46  29491[0:MRR:28900.1,29469.1] || member(least(element_relation,u),universal_class)* member(v,least(element_relation,u))* member(v,u) subclass(u,w)* well_ordering(element_relation,w)* -> .
% 299.85/300.46  183450[5:Res:10.1,5490.0] || member(u,universal_class) subclass(unordered_pair(u,v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(u,least(omega,unordered_pair(u,v)))),identity_relation)**.
% 299.85/300.46  183451[5:Res:11.1,5490.0] || member(u,universal_class) subclass(unordered_pair(v,u),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(u,least(omega,unordered_pair(v,u)))),identity_relation)**.
% 299.85/300.46  183483[5:Res:5214.2,5490.0] || subclass(u,v) subclass(v,w)* well_ordering(omega,w)* -> equal(u,identity_relation) equal(integer_of(ordered_pair(regular(u),least(omega,v))),identity_relation)**.
% 299.85/300.46  30988[5:Res:29487.1,128.3] || member(ordered_pair(u,least(compose(element_relation,universal_class),v)),element_relation)* member(u,v) subclass(v,w)* well_ordering(compose(element_relation,universal_class),w)* -> .
% 299.85/300.46  117116[0:MRR:117071.0,641.0] || member(u,v) subclass(v,w)* well_ordering(union(x,y),w)* -> member(ordered_pair(u,least(union(x,y),v)),complement(y))*.
% 299.85/300.46  116729[0:MRR:116692.0,641.0] || member(u,v) subclass(v,w)* well_ordering(union(x,y),w)* -> member(ordered_pair(u,least(union(x,y),v)),complement(x))*.
% 299.85/300.46  53061[0:Res:53042.1,3926.0] || well_ordering(cross_product(u,rest_relation),universal_class)* member(v,u)* member(v,rest_relation)* subclass(rest_relation,w) well_ordering(cross_product(u,rest_relation),w)* -> .
% 299.85/300.46  53067[0:Res:53055.1,3926.0] || well_ordering(cross_product(u,rest_relation),rest_relation)* member(v,u)* member(v,rest_relation)* subclass(rest_relation,w) well_ordering(cross_product(u,rest_relation),w)* -> .
% 299.85/300.46  3916[0:SpL:647.0,128.3] || member(singleton(least(u,v)),v)* subclass(v,w)* well_ordering(u,w)* member(singleton(singleton(singleton(least(u,v)))),u)* -> .
% 299.85/300.46  53081[0:Res:53058.1,3926.0] || well_ordering(cross_product(u,universal_class),universal_class)* member(v,u)* member(v,rest_relation)* subclass(rest_relation,w) well_ordering(cross_product(u,universal_class),w)* -> .
% 299.85/300.46  53095[0:Res:53064.1,3926.0] || well_ordering(cross_product(u,universal_class),rest_relation)* member(v,u)* member(v,rest_relation)* subclass(rest_relation,w) well_ordering(cross_product(u,universal_class),w)* -> .
% 299.85/300.46  39025[0:Res:641.0,3920.0] || member(ordered_pair(u,least(intersection(v,universal_class),w)),v)* member(u,w) subclass(w,x)* well_ordering(intersection(v,universal_class),x)* -> .
% 299.85/300.46  123252[5:Rew:122359.0,37349.2] || connected(u,v)* member(w,v)* well_ordering(x,complement(complement(symmetrization_of(u))))* -> member(least(x,cross_product(v,v)),cross_product(v,v))*.
% 299.85/300.46  117427[5:Res:5586.1,126.0] || subclass(union(u,v),w)* well_ordering(x,w)* -> equal(symmetric_difference(u,v),identity_relation) member(least(x,union(u,v)),union(u,v))*.
% 299.85/300.46  118488[5:Rew:118446.0,37480.0] || member(u,complement(v))* subclass(symmetric_difference(universal_class,v),w)* well_ordering(x,w)* -> member(least(x,symmetric_difference(universal_class,v)),symmetric_difference(universal_class,v))*.
% 299.85/300.46  162644[5:Res:146432.1,3704.1] || equal(sum_class(u),universal_class) member(v,universal_class)* well_ordering(w,sum_class(u))* -> member(v,x)* member(least(w,complement(x)),complement(x))*.
% 299.85/300.46  163641[5:Res:163531.1,3704.1] || equal(power_class(u),universal_class) member(v,universal_class)* well_ordering(w,power_class(u))* -> member(v,x)* member(least(w,complement(x)),complement(x))*.
% 299.85/300.46  162664[5:Res:146436.1,3704.1] || equal(inverse(u),universal_class) member(v,universal_class)* well_ordering(w,inverse(u))* -> member(v,x)* member(least(w,complement(x)),complement(x))*.
% 299.85/300.46  35401[0:Res:63.1,3704.1] function(complement(u)) || member(v,universal_class)* well_ordering(w,cross_product(universal_class,universal_class)) -> member(v,u)* member(least(w,complement(u)),complement(u))*.
% 299.85/300.46  163508[5:Res:162500.1,3704.1] || equal(complement(u),universal_class) member(v,universal_class)* well_ordering(w,complement(u))* -> member(v,x)* member(least(w,complement(x)),complement(x))*.
% 299.85/300.46  179740[7:Res:167393.0,126.0] || subclass(symmetric_difference(universal_class,u),v)* well_ordering(w,v)* -> member(identity_relation,union(u,identity_relation)) member(least(w,symmetric_difference(universal_class,u)),symmetric_difference(universal_class,u))*.
% 299.85/300.46  33531[3:Res:3564.3,2.0] || connected(u,v) well_ordering(w,v) subclass(not_well_ordering(u,v),x) -> well_ordering(u,v) member(least(w,not_well_ordering(u,v)),x)*.
% 299.85/300.46  48830[5:MRR:48826.1,47782.0] || well_ordering(u,ordered_pair(v,w)) -> equal(least(u,ordered_pair(v,w)),unordered_pair(v,singleton(w)))** equal(least(u,ordered_pair(v,w)),singleton(v)).
% 299.85/300.46  27822[5:Res:24559.0,5259.0] || well_ordering(u,complement(symmetric_difference(complement(v),universal_class))) -> equal(segment(u,symmetric_difference(union(v,identity_relation),universal_class),least(u,symmetric_difference(union(v,identity_relation),universal_class))),identity_relation)**.
% 299.85/300.46  5568[5:Rew:5180.0,4845.4] || subclass(omega,u) member(v,w) subclass(w,x)* well_ordering(u,x)* -> equal(integer_of(ordered_pair(v,least(u,w))),identity_relation)**.
% 299.85/300.46  33249[5:Res:5426.2,2.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(compose(v,w),x) -> equal(compose(v,w),identity_relation) member(least(u,compose(v,w)),x)*.
% 299.85/300.46  30965[5:MRR:30943.2,5184.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(singleton(least(u,rest_of(v))),rest_of(v)) -> section(u,singleton(least(u,rest_of(v))),rest_of(v))*.
% 299.85/300.46  30966[5:MRR:30942.2,5184.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(singleton(least(u,compose_class(v))),compose_class(v)) -> section(u,singleton(least(u,compose_class(v))),compose_class(v))*.
% 299.85/300.46  40213[5:SpL:5337.2,1025.1] || member(cross_product(u,v),universal_class) subclass(universal_class,complement(w)) member(apply(choice,cross_product(u,v)),w)* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.46  37946[5:SpR:5337.2,646.0] || member(cross_product(u,v),universal_class) -> equal(cross_product(u,v),identity_relation) member(singleton(first(apply(choice,cross_product(u,v)))),apply(choice,cross_product(u,v)))*.
% 299.85/300.46  30710[5:Res:5331.2,23.0] || member(intersection(intersection(u,v),w),universal_class) -> equal(intersection(intersection(u,v),w),identity_relation) member(apply(choice,intersection(intersection(u,v),w)),v)*.
% 299.85/300.46  30709[5:Res:5331.2,22.0] || member(intersection(intersection(u,v),w),universal_class) -> equal(intersection(intersection(u,v),w),identity_relation) member(apply(choice,intersection(intersection(u,v),w)),u)*.
% 299.85/300.46  30604[5:Res:5330.2,23.0] || member(intersection(u,intersection(v,w)),universal_class) -> equal(intersection(u,intersection(v,w)),identity_relation) member(apply(choice,intersection(u,intersection(v,w))),w)*.
% 299.85/300.46  30603[5:Res:5330.2,22.0] || member(intersection(u,intersection(v,w)),universal_class) -> equal(intersection(u,intersection(v,w)),identity_relation) member(apply(choice,intersection(u,intersection(v,w))),v)*.
% 299.85/300.46  123428[5:Rew:122359.0,123427.1] || member(intersection(u,complement(v)),universal_class) member(apply(choice,intersection(u,complement(v))),complement(complement(v)))* -> equal(intersection(u,complement(v)),identity_relation).
% 299.85/300.46  123432[5:Rew:122359.0,123431.1] || member(intersection(complement(u),v),universal_class) member(apply(choice,intersection(complement(u),v)),complement(complement(u)))* -> equal(intersection(complement(u),v),identity_relation).
% 299.85/300.46  5411[5:Rew:5180.0,3522.1] || member(ordered_pair(u,regular(complement(image(v,image(w,singleton(u)))))),compose(v,w))* -> equal(complement(image(v,image(w,singleton(u)))),identity_relation).
% 299.85/300.46  5786[5:Rew:5180.0,5505.2] || subclass(universal_class,image(u,image(v,singleton(w))))* member(ordered_pair(w,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,identity_relation),compose(u,v)).
% 299.85/300.46  4023[0:Res:761.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w))))* member(ordered_pair(w,omega),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,omega),compose(u,v)).
% 299.85/300.46  124123[5:Res:119647.1,60.0] || equal(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,identity_relation),compose(u,v))*.
% 299.85/300.46  144750[0:Res:144714.1,60.0] || equal(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,omega),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,omega),compose(u,v))*.
% 299.85/300.46  178051[14:Res:178018.1,60.0] || subclass(omega,image(u,image(v,singleton(w))))* member(ordered_pair(w,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,identity_relation),compose(u,v)).
% 299.85/300.46  178732[14:Res:178680.1,60.0] || equal(image(u,image(v,singleton(w))),omega) member(ordered_pair(w,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,identity_relation),compose(u,v))*.
% 299.85/300.46  8929[4:Rew:69.0,8919.2] || member(image(u,singleton(v)),universal_class) subclass(image(u,singleton(v)),apply(u,v))* -> equal(image(u,singleton(v)),apply(u,v)).
% 299.85/300.46  27905[0:SpR:579.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),power_class(intersection(complement(w),complement(x)))))* member(u,union(v,image(element_relation,union(w,x)))).
% 299.85/300.46  27917[0:SpR:579.0,689.1] || member(u,universal_class) -> member(u,intersection(power_class(intersection(complement(v),complement(w))),complement(x)))* member(u,union(image(element_relation,union(v,w)),x)).
% 299.85/300.46  121901[5:SpR:26481.1,59.1] || member(ordered_pair(u,v),compose(w,regular(cross_product(singleton(u),universal_class))))* -> equal(cross_product(singleton(u),universal_class),identity_relation) member(v,image(w,range_of(identity_relation))).
% 299.85/300.46  39781[5:MRR:39780.3,5188.0] || equal(compose_class(u),domain_relation) member(ordered_pair(v,not_subclass_element(image(u,range_of(identity_relation)),w)),cross_product(universal_class,universal_class))* -> subclass(image(u,range_of(identity_relation)),w).
% 299.85/300.46  34148[0:Res:3654.2,610.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cantor(inverse(w))) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),range_of(w))*.
% 299.85/300.46  34208[0:SpL:40.0,3760.0] || member(u,range_of(v))* subclass(rest_of(inverse(v)),w)* well_ordering(x,w)* -> member(least(x,rest_of(inverse(v))),rest_of(inverse(v)))*.
% 299.85/300.46  22959[5:Rew:22446.0,22741.2] || well_ordering(u,complement(cantor(inverse(v)))) -> equal(symmetric_difference(range_of(v),universal_class),identity_relation) member(least(u,symmetric_difference(range_of(v),universal_class)),symmetric_difference(range_of(v),universal_class))*.
% 299.85/300.46  152983[5:SpL:146076.0,2599.1] || member(u,union(range_of(v),cantor(inverse(v)))) member(u,complement(cantor(inverse(v)))) -> member(u,symmetric_difference(range_of(v),cantor(inverse(v))))*.
% 299.85/300.46  28093[5:Res:22635.0,3692.1] inductive(symmetric_difference(range_of(u),universal_class)) || well_ordering(v,complement(cantor(inverse(u)))) -> member(least(v,symmetric_difference(range_of(u),universal_class)),symmetric_difference(range_of(u),universal_class))*.
% 299.85/300.46  162667[5:Res:150282.1,3704.1] || equal(range_of(u),universal_class) member(v,universal_class)* well_ordering(w,range_of(u))* -> member(v,x)* member(least(w,complement(x)),complement(x))*.
% 299.85/300.46  168542[12:MRR:168507.3,5188.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,cross_product(universal_class,universal_class)) equal(ordered_pair(v,compose(u,v)),sum_class(range_of(u)))** -> .
% 299.85/300.46  192294[15:Res:191820.0,5215.0] || well_ordering(u,symmetric_difference(universal_class,range_of(identity_relation))) -> equal(complement(successor(range_of(identity_relation))),identity_relation) member(least(u,complement(successor(range_of(identity_relation)))),complement(successor(range_of(identity_relation))))*.
% 299.85/300.46  194102[15:Res:191820.0,3692.1] inductive(complement(successor(range_of(identity_relation)))) || well_ordering(u,symmetric_difference(universal_class,range_of(identity_relation))) -> member(least(u,complement(successor(range_of(identity_relation)))),complement(successor(range_of(identity_relation))))*.
% 299.85/300.46  195287[17:Rew:195144.1,195216.3] || member(u,universal_class) subclass(domain_relation,ordered_pair(v,w))* -> equal(ordered_pair(u,identity_relation),unordered_pair(v,singleton(w)))* equal(ordered_pair(u,identity_relation),singleton(v)).
% 299.85/300.46  195438[17:Rew:195327.0,195380.2] || subclass(domain_relation,cross_product(cross_product(universal_class,universal_class),universal_class)) member(ordered_pair(ordered_pair(u,identity_relation),v),w) -> member(ordered_pair(ordered_pair(v,u),identity_relation),rotate(w))*.
% 299.85/300.46  195439[17:Rew:195327.0,195381.1] || subclass(domain_relation,cross_product(cross_product(universal_class,universal_class),universal_class)) member(ordered_pair(ordered_pair(u,v),identity_relation),w) -> member(ordered_pair(ordered_pair(v,u),identity_relation),flip(w))*.
% 299.85/300.46  198049[17:Res:195614.1,2599.1] || subclass(domain_relation,complement(intersection(u,v))) member(singleton(singleton(singleton(identity_relation))),union(u,v)) -> member(singleton(singleton(singleton(identity_relation))),symmetric_difference(u,v))*.
% 299.85/300.46  198249[15:Res:191859.0,5490.0] || subclass(ordered_pair(sum_class(range_of(identity_relation)),u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,ordered_pair(sum_class(range_of(identity_relation)),u)))),identity_relation)**.
% 299.85/300.46  198247[14:Res:178685.1,5490.0] || equal(cantor(inverse(u)),omega) subclass(range_of(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,range_of(u)))),identity_relation)**.
% 299.85/300.46  198243[7:Res:193112.1,5490.0] || equal(cantor(u),singleton(identity_relation)) subclass(domain_of(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,domain_of(u)))),identity_relation)**.
% 299.85/300.46  198232[7:Res:125686.1,5490.0] || equal(domain_of(u),singleton(identity_relation)) subclass(cantor(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,cantor(u)))),identity_relation)**.
% 299.85/300.46  198229[14:Res:178692.1,5490.0] || equal(symmetric_difference(universal_class,u),omega) subclass(complement(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(u)))),identity_relation)**.
% 299.85/300.46  198220[5:Res:5588.1,5490.0] || subclass(domain_of(u),v)* well_ordering(omega,v) -> equal(cantor(u),identity_relation) equal(integer_of(ordered_pair(regular(cantor(u)),least(omega,domain_of(u)))),identity_relation)**.
% 299.85/300.46  198219[5:Res:32904.1,5490.0] || subclass(cantor(u),v)* well_ordering(omega,v) -> equal(domain_of(u),identity_relation) equal(integer_of(ordered_pair(regular(domain_of(u)),least(omega,cantor(u)))),identity_relation)**.
% 299.85/300.46  198572[17:SpL:196425.0,3524.1] || member(ordered_pair(inverse(u),v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* -> equal(range_of(u),identity_relation) member(v,y)*.
% 299.85/300.46  198569[12:SpL:192336.1,3524.1] || member(u,universal_class) member(ordered_pair(range_of(u),v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* -> member(v,y)*.
% 299.85/300.46  198914[5:Res:164613.0,5259.0] || well_ordering(u,union(v,identity_relation)) -> equal(segment(u,symmetric_difference(complement(v),symmetric_difference(universal_class,v)),least(u,symmetric_difference(complement(v),symmetric_difference(universal_class,v)))),identity_relation)**.
% 299.85/300.46  200056[5:SpR:5460.3,160697.0] || connected(u,v) well_ordering(universal_class,v) -> well_ordering(u,v) subclass(cantor(cross_product(not_well_ordering(u,v),singleton(least(universal_class,not_well_ordering(u,v))))),identity_relation)*.
% 299.85/300.46  200966[5:Rew:200704.1,200774.1] || equal(u,universal_class) member(restrict(v,w,identity_relation),universal_class) -> inductive(u) member(ordered_pair(restrict(v,w,identity_relation),segment(v,w,u)),domain_relation)*.
% 299.85/300.46  205126[5:Res:205098.1,3336.0] || equal(identity_relation,u) member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,power_class(u))),second(ordered_pair(v,power_class(u)))),ordered_pair(v,power_class(u)))**.
% 299.85/300.46  205337[5:Res:6971.1,5490.0] || member(cross_product(universal_class,universal_class),universal_class) subclass(domain_relation,u) well_ordering(omega,u)* -> equal(integer_of(ordered_pair(least(element_relation,domain_relation),least(omega,domain_relation))),identity_relation)**.
% 299.85/300.46  206451[5:EmS:5373.0,5373.1,4792.2,167596.1] single_valued_class(image(u,v)) || equal(image(u,v),cross_product(universal_class,universal_class))** equal(image(u,v),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.46  206443[5:EmS:5373.0,5373.1,4792.2,167566.1] single_valued_class(union(u,v)) || equal(union(u,v),cross_product(universal_class,universal_class))** equal(union(u,v),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.46  206439[5:EmS:5373.0,5373.1,4792.2,167517.1] single_valued_class(apply(u,v)) || equal(apply(u,v),cross_product(universal_class,universal_class))** equal(apply(u,v),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.46  206434[12:EmS:5373.0,5373.1,4792.2,200705.1] single_valued_class(ordinal_add(u,v)) || equal(ordinal_add(u,v),cross_product(universal_class,universal_class))** equal(ordinal_add(u,v),universal_class) -> member(identity_relation,cross_product(universal_class,universal_class))*.
% 299.85/300.46  207696[5:Res:29628.0,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(complement(complement(u)),identity_relation) equal(integer_of(ordered_pair(regular(complement(complement(u))),least(omega,u))),identity_relation)**.
% 299.85/300.46  208579[5:Res:29471.1,5490.0] || member(u,domain_of(u)) subclass(element_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(u,domain_of(u)),least(omega,element_relation))),identity_relation)**.
% 299.85/300.46  208747[5:Res:29472.1,5490.0] || member(u,rest_of(u)) subclass(element_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(u,rest_of(u)),least(omega,element_relation))),identity_relation)**.
% 299.85/300.46  209043[17:Rew:208959.1,199299.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> equal(singleton(range_of(w)),identity_relation) compatible(u,v,inverse(w))*.
% 299.85/300.46  209044[17:Rew:208959.1,199300.2] function(u) || subclass(range_of(u),identity_relation) equal(domain_of(domain_of(v)),universal_class) -> equal(integer_of(range_of(w)),identity_relation) compatible(u,v,inverse(w))*.
% 299.85/300.46  209066[15:Rew:208959.1,205680.3] function(u) || equal(rest_of(domain_of(v)),identity_relation) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.46  209069[15:Rew:208959.1,205577.3] function(u) || equal(cantor(domain_of(v)),identity_relation) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.46  209070[17:Rew:208959.1,198018.3] function(u) || well_ordering(v,universal_class) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,least(v,universal_class))*.
% 299.85/300.46  209071[17:Rew:208959.1,197957.3] function(u) || well_ordering(v,universal_class) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,least(v,rest_relation))*.
% 299.85/300.46  209072[17:Rew:208959.1,197895.3] function(u) || well_ordering(v,rest_relation) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,least(v,rest_relation))*.
% 299.85/300.46  209075[15:Rew:208959.1,162206.2] function(u) || subclass(range_of(u),domain_of(image(universal_class,v))) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(cross_product(v,universal_class)))*.
% 299.85/300.46  209077[15:Rew:208959.1,124969.3] function(u) || equal(rest_of(v),rest_relation) subclass(range_of(u),domain_of(universal_class))* equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.46  209078[15:Rew:208959.1,126501.3] function(u) || equal(cantor(v),universal_class) subclass(range_of(u),domain_of(universal_class))* equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,v)*.
% 299.85/300.46  210061[17:Rew:209320.1,209898.2] function(u) || member(ordered_pair(u,not_subclass_element(v,image(w,image(x,identity_relation)))),compose(w,x))* -> subclass(v,image(w,image(x,identity_relation))).
% 299.85/300.46  203209[16:MRR:33651.4,203206.0] inductive(singleton(u)) || member(u,universal_class) well_ordering(v,singleton(u))* -> member(u,domain_of(successor_relation)) member(least(v,range_of(identity_relation)),range_of(identity_relation))*.
% 299.85/300.46  39680[5:Rew:5309.0,39673.3] || member(ordered_pair(u,v),compose(identity_relation,w))* subclass(range_of(identity_relation),x)* well_ordering(y,x)* -> member(least(y,range_of(identity_relation)),range_of(identity_relation))*.
% 299.85/300.46  217490[5:Res:203760.1,5490.0] || equal(union(u,identity_relation),identity_relation) subclass(complement(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(u)))),identity_relation)**.
% 299.85/300.46  217563[5:Res:203762.1,5490.0] || equal(union(u,identity_relation),identity_relation) subclass(complement(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(omega,least(omega,complement(u)))),identity_relation)**.
% 299.85/300.46  217652[5:SpR:122711.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),union(w,symmetric_difference(universal_class,x))))* member(u,union(v,intersection(complement(w),union(x,identity_relation)))).
% 299.85/300.46  217641[5:SpR:122711.0,689.1] || member(u,universal_class) -> member(u,intersection(union(v,symmetric_difference(universal_class,w)),complement(x)))* member(u,union(intersection(complement(v),union(w,identity_relation)),x)).
% 299.85/300.46  218250[5:SpR:122708.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),union(symmetric_difference(universal_class,w),x)))* member(u,union(v,intersection(union(w,identity_relation),complement(x)))).
% 299.85/300.46  218238[5:SpR:122708.0,689.1] || member(u,universal_class) -> member(u,intersection(union(symmetric_difference(universal_class,v),w),complement(x)))* member(u,union(intersection(union(v,identity_relation),complement(w)),x)).
% 299.85/300.46  219570[11:Res:207964.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(regular(complement(power_class(identity_relation))),union(u,v)) -> member(regular(complement(power_class(identity_relation))),symmetric_difference(u,v))*.
% 299.85/300.46  219722[10:Res:208146.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(regular(complement(power_class(universal_class))),union(u,v)) -> member(regular(complement(power_class(universal_class))),symmetric_difference(u,v))*.
% 299.85/300.46  220088[17:SpR:209749.1,3654.2] function(compose(u,identity_relation)) || member(ordered_pair(u,identity_relation),cross_product(universal_class,universal_class)) subclass(composition_function,v) -> member(ordered_pair(u,singleton(singleton(identity_relation))),v)*.
% 299.85/300.46  220422[9:Res:207805.1,2599.1] || subclass(universal_class,complement(intersection(u,v))) member(regular(complement(symmetrization_of(identity_relation))),union(u,v)) -> member(regular(complement(symmetrization_of(identity_relation))),symmetric_difference(u,v))*.
% 299.85/300.46  221728[12:SpL:9093.0,168534.1] || member(restrict(cross_product(u,universal_class),v,w),universal_class)* equal(rest_of(restrict(cross_product(u,universal_class),v,w)),sum_class(image(cross_product(v,w),u))) -> .
% 299.85/300.46  222223[5:Res:5343.1,588.0] || member(regular(restrict(intersection(complement(u),complement(v)),w,x)),union(u,v))* -> equal(restrict(intersection(complement(u),complement(v)),w,x),identity_relation).
% 299.85/300.46  222732[5:Res:5330.2,222432.0] || member(intersection(u,complement(complement(v))),universal_class) -> equal(intersection(u,complement(complement(v))),identity_relation) member(apply(choice,intersection(u,complement(complement(v)))),v)*.
% 299.85/300.46  222716[5:Res:5331.2,222432.0] || member(intersection(complement(complement(u)),v),universal_class) -> equal(intersection(complement(complement(u)),v),identity_relation) member(apply(choice,intersection(complement(complement(u)),v)),u)*.
% 299.85/300.46  224824[0:Res:2603.2,7571.2] || member(power_class(u),cross_product(v,w))* member(power_class(u),x)* member(u,universal_class) subclass(universal_class,complement(restrict(x,v,w)))* -> .
% 299.85/300.46  225549[5:Res:223093.1,5490.0] || equal(complement(u),universal_class) subclass(complement(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,complement(u)))),identity_relation)**.
% 299.85/300.46  225582[5:Res:223095.1,5490.0] || equal(inverse(u),universal_class) subclass(inverse(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,inverse(u)))),identity_relation)**.
% 299.85/300.46  225604[5:Res:223097.1,5490.0] || equal(power_class(u),universal_class) subclass(power_class(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,power_class(u)))),identity_relation)**.
% 299.85/300.46  225626[5:Res:223099.1,5490.0] || equal(sum_class(u),universal_class) subclass(sum_class(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,sum_class(u)))),identity_relation)**.
% 299.85/300.46  225668[0:Res:2603.2,7606.2] || member(sum_class(u),cross_product(v,w))* member(sum_class(u),x)* member(u,universal_class) subclass(universal_class,complement(restrict(x,v,w)))* -> .
% 299.85/300.46  225708[5:Res:223101.1,5490.0] || equal(range_of(u),universal_class) subclass(range_of(u),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(power_class(identity_relation),least(omega,range_of(u)))),identity_relation)**.
% 299.85/300.46  225942[5:MRR:225909.3,220806.1] || member(apply(choice,regular(union(u,v))),universal_class) -> member(apply(choice,regular(union(u,v))),complement(u))* equal(regular(union(u,v)),identity_relation).
% 299.85/300.46  225943[5:MRR:225908.3,220920.1] || member(apply(choice,regular(union(u,v))),universal_class) -> member(apply(choice,regular(union(u,v))),complement(v))* equal(regular(union(u,v)),identity_relation).
% 299.85/300.46  225944[5:MRR:225904.3,204341.2] || member(apply(choice,regular(intersection(u,v))),v)* member(apply(choice,regular(intersection(u,v))),u)* -> equal(regular(intersection(u,v)),identity_relation).
% 299.85/300.46  226288[0:Res:226257.1,3336.0] || member(u,universal_class) member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,rest_of(u))),second(ordered_pair(v,rest_of(u)))),ordered_pair(v,rest_of(u)))**.
% 299.85/300.46  227295[0:Res:227180.0,3704.1] || member(u,universal_class) well_ordering(v,complement(cantor(inverse(w)))) -> member(u,range_of(w))* member(least(v,complement(range_of(w))),complement(range_of(w)))*.
% 299.85/300.46  227408[9:Res:227368.0,5490.0] || subclass(complement(intersection(inverse(identity_relation),universal_class)),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(intersection(inverse(identity_relation),universal_class))))),identity_relation)**.
% 299.85/300.46  227602[5:Rew:930.0,227496.1] || member(regular(symmetric_difference(complement(intersection(u,v)),union(u,v))),symmetric_difference(u,v))* -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),identity_relation).
% 299.85/300.46  230140[5:MRR:230087.3,204341.2] || member(not_subclass_element(regular(intersection(u,v)),w),v)* member(not_subclass_element(regular(intersection(u,v)),w),u)* -> subclass(regular(intersection(u,v)),w).
% 299.85/300.46  232331[0:Res:601.1,8157.0] ||  -> subclass(restrict(symmetric_difference(complement(u),complement(v)),w,x),y) member(not_subclass_element(restrict(symmetric_difference(complement(u),complement(v)),w,x),y),union(u,v))*.
% 299.85/300.46  233790[5:Rew:233410.0,233574.3,233410.0,233574.2,233410.0,233574.0] || well_ordering(element_relation,image(u,identity_relation)) subclass(apply(u,universal_class),image(u,identity_relation))* -> equal(image(u,identity_relation),universal_class) member(image(u,identity_relation),universal_class).
% 299.85/300.46  234198[17:Res:59.1,195186.2] || member(ordered_pair(u,ordered_pair(v,identity_relation)),compose(w,x))* member(v,universal_class) subclass(domain_relation,complement(image(w,image(x,singleton(u))))) -> .
% 299.85/300.46  234965[5:MRR:234885.3,234909.1] || member(apply(choice,regular(domain_of(u))),universal_class) -> equal(apply(u,apply(choice,regular(domain_of(u)))),sum_class(range_of(identity_relation)))** equal(regular(domain_of(u)),identity_relation).
% 299.85/300.46  235122[5:SpR:233494.0,5453.2] || member(image(u,identity_relation),universal_class) well_ordering(v,image(u,identity_relation)) -> equal(segment(v,apply(u,universal_class),least(v,apply(u,universal_class))),identity_relation)**.
% 299.85/300.46  235517[5:Res:235498.0,5490.0] || subclass(complement(singleton(ordered_pair(universal_class,u))),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(singleton(ordered_pair(universal_class,u)))))),identity_relation)**.
% 299.85/300.46  235715[0:Res:20387.1,128.3] || subclass(rest_relation,rotate(u)) member(ordered_pair(v,rest_of(ordered_pair(least(u,w),v))),w)* subclass(w,x)* well_ordering(u,x)* -> .
% 299.85/300.46  235954[5:Res:5462.2,5577.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(regular(intersection(w,complement(union(u,v))))),identity_relation)** equal(intersection(w,complement(union(u,v))),identity_relation).
% 299.85/300.46  235953[5:Res:5462.2,5602.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(regular(intersection(complement(union(u,v)),w))),identity_relation)** equal(intersection(complement(union(u,v)),w),identity_relation).
% 299.85/300.46  235925[5:Res:5462.2,8086.1] || subclass(omega,symmetric_difference(u,v)) subclass(universal_class,regular(union(u,v)))* -> equal(integer_of(unordered_pair(w,x)),identity_relation)** equal(union(u,v),identity_relation).
% 299.85/300.46  236583[15:SpL:233485.0,209011.1] function(u) || subclass(range_of(u),domain_of(segment(universal_class,v,universal_class)))* equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,cross_product(v,identity_relation))*.
% 299.85/300.46  236597[5:Res:233486.0,5215.0] || well_ordering(u,segment(universal_class,v,universal_class)) -> equal(cantor(cross_product(v,identity_relation)),identity_relation) member(least(u,cantor(cross_product(v,identity_relation))),cantor(cross_product(v,identity_relation)))*.
% 299.85/300.46  236596[5:Res:233486.0,3692.1] inductive(cantor(cross_product(u,identity_relation))) || well_ordering(v,segment(universal_class,u,universal_class)) -> member(least(v,cantor(cross_product(u,identity_relation))),cantor(cross_product(u,identity_relation)))*.
% 299.85/300.46  241387[5:Obv:241347.1] || subclass(unordered_pair(u,v),symmetric_difference(w,x))* -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation) member(v,union(w,x)).
% 299.85/300.46  241388[5:Obv:241346.1] || subclass(unordered_pair(u,v),symmetric_difference(w,x))* -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation) member(u,union(w,x)).
% 299.85/300.46  241462[5:Res:133.1,5316.0] || section(u,v,w) subclass(v,x) -> equal(domain_of(restrict(u,w,v)),identity_relation) member(regular(domain_of(restrict(u,w,v))),x)*.
% 299.85/300.46  242059[3:Res:28041.2,8150.0] inductive(symmetric_difference(cross_product(u,v),w)) || well_ordering(x,universal_class) -> member(least(x,symmetric_difference(cross_product(u,v),w)),complement(restrict(w,u,v)))*.
% 299.85/300.46  242057[5:Res:5404.2,8150.0] || well_ordering(u,universal_class) -> equal(symmetric_difference(cross_product(v,w),x),identity_relation) member(least(u,symmetric_difference(cross_product(v,w),x)),complement(restrict(x,v,w)))*.
% 299.85/300.46  242054[0:Res:29726.0,8150.0] ||  -> subclass(complement(complement(symmetric_difference(cross_product(u,v),w))),x) member(not_subclass_element(complement(complement(symmetric_difference(cross_product(u,v),w))),x),complement(restrict(w,u,v)))*.
% 299.85/300.46  242030[0:Res:827.3,8150.0] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(cross_product(w,x),y)) -> member(image(u,v),complement(restrict(y,w,x)))*.
% 299.85/300.46  242024[5:Res:5329.3,8150.0] || member(u,universal_class) subclass(u,symmetric_difference(cross_product(v,w),x)) -> equal(u,identity_relation) member(apply(choice,u),complement(restrict(x,v,w)))*.
% 299.85/300.46  242019[0:Res:356.1,8150.0] ||  -> subclass(intersection(u,symmetric_difference(cross_product(v,w),x)),y) member(not_subclass_element(intersection(u,symmetric_difference(cross_product(v,w),x)),y),complement(restrict(x,v,w)))*.
% 299.85/300.46  242001[0:Res:366.1,8150.0] ||  -> subclass(intersection(symmetric_difference(cross_product(u,v),w),x),y) member(not_subclass_element(intersection(symmetric_difference(cross_product(u,v),w),x),y),complement(restrict(w,u,v)))*.
% 299.85/300.46  242332[3:Res:28041.2,8147.0] inductive(symmetric_difference(u,cross_product(v,w))) || well_ordering(x,universal_class) -> member(least(x,symmetric_difference(u,cross_product(v,w))),complement(restrict(u,v,w)))*.
% 299.85/300.46  242330[5:Res:5404.2,8147.0] || well_ordering(u,universal_class) -> equal(symmetric_difference(v,cross_product(w,x)),identity_relation) member(least(u,symmetric_difference(v,cross_product(w,x))),complement(restrict(v,w,x)))*.
% 299.85/300.46  242327[0:Res:29726.0,8147.0] ||  -> subclass(complement(complement(symmetric_difference(u,cross_product(v,w)))),x) member(not_subclass_element(complement(complement(symmetric_difference(u,cross_product(v,w)))),x),complement(restrict(u,v,w)))*.
% 299.85/300.46  242302[0:Res:827.3,8147.0] function(u) || member(v,universal_class) subclass(universal_class,symmetric_difference(w,cross_product(x,y))) -> member(image(u,v),complement(restrict(w,x,y)))*.
% 299.85/300.46  242296[5:Res:5329.3,8147.0] || member(u,universal_class) subclass(u,symmetric_difference(v,cross_product(w,x))) -> equal(u,identity_relation) member(apply(choice,u),complement(restrict(v,w,x)))*.
% 299.85/300.46  242291[0:Res:356.1,8147.0] ||  -> subclass(intersection(u,symmetric_difference(v,cross_product(w,x))),y) member(not_subclass_element(intersection(u,symmetric_difference(v,cross_product(w,x))),y),complement(restrict(v,w,x)))*.
% 299.85/300.46  242272[0:Res:366.1,8147.0] ||  -> subclass(intersection(symmetric_difference(u,cross_product(v,w)),x),y) member(not_subclass_element(intersection(symmetric_difference(u,cross_product(v,w)),x),y),complement(restrict(u,v,w)))*.
% 299.85/300.46  242431[5:Res:29628.0,756.0] ||  -> equal(complement(complement(cantor(restrict(u,v,singleton(w))))),identity_relation) member(regular(complement(complement(cantor(restrict(u,v,singleton(w)))))),segment(u,v,w))*.
% 299.85/300.46  242427[0:Res:827.3,756.0] function(u) || member(v,universal_class) subclass(universal_class,cantor(restrict(w,x,singleton(y)))) -> member(image(u,v),segment(w,x,y))*.
% 299.85/300.46  242421[5:Res:5329.3,756.0] || member(u,universal_class) subclass(u,cantor(restrict(v,w,singleton(x)))) -> equal(u,identity_relation) member(apply(choice,u),segment(v,w,x))*.
% 299.85/300.46  242418[5:Res:5295.1,756.0] ||  -> equal(intersection(u,cantor(restrict(v,w,singleton(x)))),identity_relation) member(regular(intersection(u,cantor(restrict(v,w,singleton(x))))),segment(v,w,x))*.
% 299.85/300.46  242401[5:Res:5294.1,756.0] ||  -> equal(intersection(cantor(restrict(u,v,singleton(w))),x),identity_relation) member(regular(intersection(cantor(restrict(u,v,singleton(w))),x)),segment(u,v,w))*.
% 299.85/300.46  242523[5:SpR:9097.0,146057.0] ||  -> equal(intersection(segment(cross_product(u,v),w,x),cantor(restrict(cross_product(w,singleton(x)),u,v))),cantor(restrict(cross_product(w,singleton(x)),u,v)))**.
% 299.85/300.46  242590[5:Rew:9097.0,242535.0] ||  -> equal(segment(cross_product(u,v),w,x),identity_relation) member(regular(segment(cross_product(u,v),w,x)),cantor(restrict(cross_product(w,singleton(x)),u,v)))*.
% 299.85/300.46  242716[0:Res:49.1,8435.0] inductive(restrict(u,v,w)) ||  -> subclass(image(successor_relation,restrict(u,v,w)),x) member(not_subclass_element(image(successor_relation,restrict(u,v,w)),x),u)*.
% 299.85/300.46  242714[5:Res:8736.1,8435.0] || equal(sum_class(restrict(u,v,w)),identity_relation) -> subclass(sum_class(restrict(u,v,w)),x) member(not_subclass_element(sum_class(restrict(u,v,w)),x),u)*.
% 299.85/300.46  243905[21:Rew:22454.0,243904.1] inductive(restrict(inverse(subset_relation),u,v)) || well_ordering(w,universal_class) -> member(least(w,restrict(inverse(identity_relation),u,v)),restrict(inverse(identity_relation),u,v))*.
% 299.85/300.46  244665[21:Res:29628.0,243787.1] || member(regular(complement(complement(complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class))* -> equal(complement(complement(complement(compose(complement(element_relation),inverse(element_relation))))),identity_relation).
% 299.85/300.46  244660[21:Res:827.3,243787.1] function(u) || member(v,universal_class) subclass(universal_class,complement(compose(complement(element_relation),inverse(element_relation))))* member(image(u,v),cross_product(universal_class,universal_class))* -> .
% 299.85/300.46  244653[21:Res:5329.3,243787.1] || member(u,universal_class) subclass(u,complement(compose(complement(element_relation),inverse(element_relation))))* member(apply(choice,u),cross_product(universal_class,universal_class)) -> equal(u,identity_relation).
% 299.85/300.46  244650[21:Res:5295.1,243787.1] || member(regular(intersection(u,complement(compose(complement(element_relation),inverse(element_relation))))),cross_product(universal_class,universal_class))* -> equal(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),identity_relation).
% 299.85/300.46  244632[21:Res:5294.1,243787.1] || member(regular(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u)),cross_product(universal_class,universal_class))* -> equal(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),identity_relation).
% 299.85/300.46  245891[5:SpL:122711.0,7551.0] || subclass(omega,image(element_relation,union(u,symmetric_difference(universal_class,v)))) member(w,power_class(intersection(complement(u),union(v,identity_relation))))* -> equal(integer_of(w),identity_relation).
% 299.85/300.46  245889[5:SpL:122708.0,7551.0] || subclass(omega,image(element_relation,union(symmetric_difference(universal_class,u),v))) member(w,power_class(intersection(union(u,identity_relation),complement(v))))* -> equal(integer_of(w),identity_relation).
% 299.85/300.46  247232[5:SpR:118447.0,21037.0] ||  -> equal(intersection(successor(symmetric_difference(universal_class,u)),union(union(u,identity_relation),complement(singleton(symmetric_difference(universal_class,u))))),symmetric_difference(union(u,identity_relation),complement(singleton(symmetric_difference(universal_class,u)))))**.
% 299.85/300.46  247911[5:Res:5462.2,20349.2] || subclass(omega,symmetric_difference(u,v)) member(w,universal_class) subclass(rest_relation,complement(union(u,v)))* -> equal(integer_of(ordered_pair(w,rest_of(w))),identity_relation)**.
% 299.85/300.46  248313[0:SpR:20365.2,938.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> equal(intersection(complement(rest_of(u)),union(v,cross_product(u,universal_class))),symmetric_difference(v,cross_product(u,universal_class)))**.
% 299.85/300.46  248312[0:SpR:20365.2,939.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) -> equal(intersection(complement(rest_of(u)),union(cross_product(u,universal_class),v)),symmetric_difference(cross_product(u,universal_class),v))**.
% 299.85/300.46  248526[5:SpR:118447.0,21036.0] ||  -> equal(intersection(symmetrization_of(symmetric_difference(universal_class,u)),union(union(u,identity_relation),complement(inverse(symmetric_difference(universal_class,u))))),symmetric_difference(union(u,identity_relation),complement(inverse(symmetric_difference(universal_class,u)))))**.
% 299.85/300.46  249242[0:Rew:249197.0,246464.2] || member(u,universal_class) -> member(u,image(element_relation,union(v,image(element_relation,power_class(w)))))* member(u,power_class(intersection(complement(v),power_class(complement(power_class(w)))))).
% 299.85/300.46  249249[0:Rew:249197.0,246755.0] ||  -> member(not_subclass_element(u,union(v,image(element_relation,power_class(w)))),intersection(complement(v),power_class(complement(power_class(w)))))* subclass(u,union(v,image(element_relation,power_class(w)))).
% 299.85/300.46  249385[5:Rew:249197.0,246752.0] || member(regular(union(u,image(element_relation,power_class(v)))),intersection(complement(u),power_class(complement(power_class(v)))))* -> equal(union(u,image(element_relation,power_class(v))),identity_relation).
% 299.85/300.46  249417[0:Rew:249197.0,246038.2] || member(u,universal_class) -> member(u,image(element_relation,union(image(element_relation,power_class(v)),w)))* member(u,power_class(intersection(power_class(complement(power_class(v))),complement(w)))).
% 299.85/300.46  249424[0:Rew:249197.0,246326.0] ||  -> member(not_subclass_element(u,union(image(element_relation,power_class(v)),w)),intersection(power_class(complement(power_class(v))),complement(w)))* subclass(u,union(image(element_relation,power_class(v)),w)).
% 299.85/300.46  249759[5:Rew:249197.0,246323.0] || member(regular(union(image(element_relation,power_class(u)),v)),intersection(power_class(complement(power_class(u))),complement(v)))* -> equal(union(image(element_relation,power_class(u)),v),identity_relation).
% 299.85/300.46  250316[5:Rew:250258.0,27700.0] || well_ordering(u,union(v,complement(power_class(identity_relation)))) -> equal(segment(u,symmetric_difference(complement(v),power_class(identity_relation)),least(u,symmetric_difference(complement(v),power_class(identity_relation)))),identity_relation)**.
% 299.85/300.46  250492[5:Rew:250286.0,26997.0] || well_ordering(u,union(v,complement(power_class(universal_class)))) -> equal(segment(u,symmetric_difference(complement(v),power_class(universal_class)),least(u,symmetric_difference(complement(v),power_class(universal_class)))),identity_relation)**.
% 299.85/300.46  250568[5:Rew:250502.0,27673.0] || well_ordering(u,union(complement(power_class(identity_relation)),v)) -> equal(segment(u,symmetric_difference(power_class(identity_relation),complement(v)),least(u,symmetric_difference(power_class(identity_relation),complement(v)))),identity_relation)**.
% 299.85/300.46  250742[5:Rew:250538.0,27026.0] || well_ordering(u,union(complement(power_class(universal_class)),v)) -> equal(segment(u,symmetric_difference(power_class(universal_class),complement(v)),least(u,symmetric_difference(power_class(universal_class),complement(v)))),identity_relation)**.
% 299.85/300.46  251108[5:Rew:249197.0,249283.1] ||  -> equal(symmetric_difference(complement(u),power_class(complement(power_class(v)))),identity_relation) member(regular(symmetric_difference(complement(u),power_class(complement(power_class(v))))),union(u,image(element_relation,power_class(v))))*.
% 299.85/300.46  251109[5:Rew:249197.0,249315.0] ||  -> subclass(regular(intersection(complement(u),power_class(complement(power_class(v))))),union(u,image(element_relation,power_class(v))))* equal(intersection(complement(u),power_class(complement(power_class(v)))),identity_relation).
% 299.85/300.46  251110[5:Rew:249197.0,249316.0] || subclass(intersection(complement(u),power_class(complement(power_class(v)))),union(u,image(element_relation,power_class(v))))* -> equal(intersection(complement(u),power_class(complement(power_class(v)))),identity_relation).
% 299.85/300.46  251111[0:Rew:249197.0,249495.1] || member(u,universal_class) subclass(symmetrization_of(complement(power_class(v))),w)* -> member(u,intersection(power_class(v),complement(inverse(complement(power_class(v))))))* member(u,w)*.
% 299.85/300.46  251112[0:Rew:249197.0,249500.0] || equal(u,symmetrization_of(complement(power_class(v))))* member(w,universal_class) -> member(w,intersection(power_class(v),complement(inverse(complement(power_class(v))))))* member(w,u)*.
% 299.85/300.46  251113[0:Rew:249197.0,249511.1] || member(u,universal_class) subclass(successor(complement(power_class(v))),w)* -> member(u,intersection(power_class(v),complement(singleton(complement(power_class(v))))))* member(u,w)*.
% 299.85/300.46  251114[0:Rew:249197.0,249516.0] || equal(u,successor(complement(power_class(v))))* member(w,universal_class) -> member(w,intersection(power_class(v),complement(singleton(complement(power_class(v))))))* member(w,u)*.
% 299.85/300.46  251115[5:Rew:249197.0,249653.1] ||  -> equal(symmetric_difference(power_class(complement(power_class(u))),complement(v)),identity_relation) member(regular(symmetric_difference(power_class(complement(power_class(u))),complement(v))),union(image(element_relation,power_class(u)),v))*.
% 299.85/300.46  251116[5:Rew:249197.0,249689.0] ||  -> subclass(regular(intersection(power_class(complement(power_class(u))),complement(v))),union(image(element_relation,power_class(u)),v))* equal(intersection(power_class(complement(power_class(u))),complement(v)),identity_relation).
% 299.85/300.46  251117[5:Rew:249197.0,249690.0] || subclass(intersection(power_class(complement(power_class(u))),complement(v)),union(image(element_relation,power_class(u)),v))* -> equal(intersection(power_class(complement(power_class(u))),complement(v)),identity_relation).
% 299.85/300.46  251118[0:Rew:249197.0,249845.1] || member(not_subclass_element(restrict(power_class(complement(power_class(u))),v,w),x),image(element_relation,power_class(u)))* -> subclass(restrict(power_class(complement(power_class(u))),v,w),x).
% 299.85/300.46  251145[5:Rew:249197.0,250032.1] ||  -> equal(symmetric_difference(power_class(u),complement(inverse(complement(power_class(u))))),identity_relation) member(regular(symmetric_difference(power_class(u),complement(inverse(complement(power_class(u)))))),symmetrization_of(complement(power_class(u))))*.
% 299.85/300.46  251146[5:Rew:249197.0,250042.0] ||  -> subclass(regular(intersection(power_class(u),complement(inverse(complement(power_class(u)))))),symmetrization_of(complement(power_class(u))))* equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),identity_relation).
% 299.85/300.46  251147[5:Rew:249197.0,250043.0] || subclass(intersection(power_class(u),complement(inverse(complement(power_class(u))))),symmetrization_of(complement(power_class(u))))* -> equal(intersection(power_class(u),complement(inverse(complement(power_class(u))))),identity_relation).
% 299.85/300.46  251148[5:Rew:249197.0,250157.1] ||  -> equal(symmetric_difference(power_class(u),complement(singleton(complement(power_class(u))))),identity_relation) member(regular(symmetric_difference(power_class(u),complement(singleton(complement(power_class(u)))))),successor(complement(power_class(u))))*.
% 299.85/300.46  251149[5:Rew:249197.0,250167.0] ||  -> subclass(regular(intersection(power_class(u),complement(singleton(complement(power_class(u)))))),successor(complement(power_class(u))))* equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),identity_relation).
% 299.85/300.46  251150[5:Rew:249197.0,250168.0] || subclass(intersection(power_class(u),complement(singleton(complement(power_class(u))))),successor(complement(power_class(u))))* -> equal(intersection(power_class(u),complement(singleton(complement(power_class(u))))),identity_relation).
% 299.85/300.46  252666[0:SpR:249200.0,8659.0] ||  -> equal(power_class(intersection(union(u,complement(power_class(v))),complement(inverse(intersection(complement(u),power_class(v)))))),complement(image(element_relation,symmetrization_of(intersection(complement(u),power_class(v))))))**.
% 299.85/300.46  252664[0:SpR:249200.0,8660.0] ||  -> equal(power_class(intersection(union(u,complement(power_class(v))),complement(singleton(intersection(complement(u),power_class(v)))))),complement(image(element_relation,successor(intersection(complement(u),power_class(v))))))**.
% 299.85/300.46  252926[5:Rew:249200.0,252841.1] || member(regular(intersection(u,union(v,complement(power_class(w))))),intersection(complement(v),power_class(w)))* -> equal(intersection(u,union(v,complement(power_class(w)))),identity_relation).
% 299.85/300.46  252927[5:Rew:249200.0,252831.1] || member(regular(intersection(union(u,complement(power_class(v))),w)),intersection(complement(u),power_class(v)))* -> equal(intersection(union(u,complement(power_class(v))),w),identity_relation).
% 299.85/300.46  252928[5:Rew:249200.0,252673.2] || subclass(omega,intersection(complement(u),power_class(v))) -> equal(integer_of(regular(union(u,complement(power_class(v))))),identity_relation)** equal(union(u,complement(power_class(v))),identity_relation).
% 299.85/300.46  252996[0:SpR:249208.0,8659.0] ||  -> equal(power_class(intersection(union(complement(power_class(u)),v),complement(inverse(intersection(power_class(u),complement(v)))))),complement(image(element_relation,symmetrization_of(intersection(power_class(u),complement(v))))))**.
% 299.85/300.46  252994[0:SpR:249208.0,8660.0] ||  -> equal(power_class(intersection(union(complement(power_class(u)),v),complement(singleton(intersection(power_class(u),complement(v)))))),complement(image(element_relation,successor(intersection(power_class(u),complement(v))))))**.
% 299.85/300.46  253258[5:Rew:249208.0,253174.1] || member(regular(intersection(u,union(complement(power_class(v)),w))),intersection(power_class(v),complement(w)))* -> equal(intersection(u,union(complement(power_class(v)),w)),identity_relation).
% 299.85/300.46  253259[5:Rew:249208.0,253164.1] || member(regular(intersection(union(complement(power_class(u)),v),w)),intersection(power_class(u),complement(v)))* -> equal(intersection(union(complement(power_class(u)),v),w),identity_relation).
% 299.85/300.46  253260[5:Rew:249208.0,253003.2] || subclass(omega,intersection(power_class(u),complement(v))) -> equal(integer_of(regular(union(complement(power_class(u)),v))),identity_relation)** equal(union(complement(power_class(u)),v),identity_relation).
% 299.85/300.46  253485[0:Res:601.1,249201.0] || member(not_subclass_element(restrict(image(element_relation,power_class(u)),v,w),x),power_class(complement(power_class(u))))* -> subclass(restrict(image(element_relation,power_class(u)),v,w),x).
% 299.85/300.46  253556[5:SpL:253274.0,3412.1] || well_ordering(element_relation,complement(power_class(universal_class))) subclass(apply(element_relation,universal_class),complement(power_class(universal_class)))* -> equal(complement(power_class(universal_class)),universal_class) member(complement(power_class(universal_class)),universal_class).
% 299.85/300.46  253546[5:SpR:253274.0,5453.2] || member(complement(power_class(universal_class)),universal_class) well_ordering(u,complement(power_class(universal_class))) -> equal(segment(u,apply(element_relation,universal_class),least(u,apply(element_relation,universal_class))),identity_relation)**.
% 299.85/300.46  253595[5:SpR:252726.0,5586.1] ||  -> equal(symmetric_difference(complement(power_class(u)),complement(power_class(v))),identity_relation) member(regular(symmetric_difference(complement(power_class(u)),complement(power_class(v)))),complement(intersection(power_class(u),power_class(v))))*.
% 299.85/300.46  253929[11:Res:252939.1,5490.0] || equal(identity_relation,u) subclass(complement(power_class(u)),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(power_class(u))))),identity_relation)**.
% 299.85/300.46  254769[5:MRR:254731.0,29542.1] ||  -> member(regular(regular(image(element_relation,power_class(u)))),power_class(complement(power_class(u))))* equal(regular(image(element_relation,power_class(u))),identity_relation) equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.46  254896[0:SpL:930.0,20350.1] || member(u,universal_class) subclass(rest_relation,symmetric_difference(complement(intersection(v,w)),union(v,w)))* -> member(ordered_pair(u,rest_of(u)),complement(symmetric_difference(v,w)))*.
% 299.85/300.46  255180[0:SpR:8660.0,7580.2] || member(intersection(complement(u),complement(singleton(u))),universal_class)* subclass(universal_class,symmetric_difference(v,w)) -> member(complement(image(element_relation,successor(u))),union(v,w))*.
% 299.85/300.46  255179[0:SpR:8659.0,7580.2] || member(intersection(complement(u),complement(inverse(u))),universal_class)* subclass(universal_class,symmetric_difference(v,w)) -> member(complement(image(element_relation,symmetrization_of(u))),union(v,w))*.
% 299.85/300.46  255167[0:SpR:580.0,7580.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(intersection(complement(v),complement(w)),x)) -> member(power_class(u),complement(intersection(union(v,w),complement(x))))*.
% 299.85/300.46  255156[0:SpR:581.0,7580.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,intersection(complement(w),complement(x)))) -> member(power_class(u),complement(intersection(complement(v),union(w,x))))*.
% 299.85/300.46  255678[5:SpL:251759.0,5336.0] || member(regular(union(power_class(complement(inverse(identity_relation))),u)),intersection(image(element_relation,symmetrization_of(identity_relation)),complement(u)))* -> equal(union(power_class(complement(inverse(identity_relation))),u),identity_relation).
% 299.85/300.46  255677[7:SpL:251758.0,5336.0] || member(regular(union(power_class(complement(singleton(identity_relation))),u)),intersection(image(element_relation,singleton(identity_relation)),complement(u)))* -> equal(union(power_class(complement(singleton(identity_relation))),u),identity_relation).
% 299.85/300.46  255674[5:SpL:122494.0,5336.0] || member(regular(union(image(element_relation,symmetrization_of(identity_relation)),u)),intersection(power_class(complement(inverse(identity_relation))),complement(u)))* -> equal(union(image(element_relation,symmetrization_of(identity_relation)),u),identity_relation).
% 299.85/300.46  255672[7:SpL:189471.0,5336.0] || member(regular(union(image(element_relation,singleton(identity_relation)),u)),intersection(power_class(complement(singleton(identity_relation))),complement(u)))* -> equal(union(image(element_relation,singleton(identity_relation)),u),identity_relation).
% 299.85/300.46  255655[5:SpL:251759.0,5336.0] || member(regular(union(u,power_class(complement(inverse(identity_relation))))),intersection(complement(u),image(element_relation,symmetrization_of(identity_relation))))* -> equal(union(u,power_class(complement(inverse(identity_relation)))),identity_relation).
% 299.85/300.46  255654[7:SpL:251758.0,5336.0] || member(regular(union(u,power_class(complement(singleton(identity_relation))))),intersection(complement(u),image(element_relation,singleton(identity_relation))))* -> equal(union(u,power_class(complement(singleton(identity_relation)))),identity_relation).
% 299.85/300.46  255651[5:SpL:122494.0,5336.0] || member(regular(union(u,image(element_relation,symmetrization_of(identity_relation)))),intersection(complement(u),power_class(complement(inverse(identity_relation)))))* -> equal(union(u,image(element_relation,symmetrization_of(identity_relation))),identity_relation).
% 299.85/300.46  255649[7:SpL:189471.0,5336.0] || member(regular(union(u,image(element_relation,singleton(identity_relation)))),intersection(complement(u),power_class(complement(singleton(identity_relation)))))* -> equal(union(u,image(element_relation,singleton(identity_relation))),identity_relation).
% 299.85/300.46  256121[5:Res:943.1,8097.1] || member(regular(u),symmetric_difference(v,w)) subclass(u,regular(complement(intersection(v,w))))* -> equal(u,identity_relation) equal(complement(intersection(v,w)),identity_relation).
% 299.85/300.46  256251[5:MRR:256139.0,29542.1] || subclass(u,regular(image(element_relation,power_class(v)))) -> member(regular(u),power_class(complement(power_class(v))))* equal(u,identity_relation) equal(image(element_relation,power_class(v)),identity_relation).
% 299.85/300.46  256466[0:SpR:580.0,7615.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(intersection(complement(v),complement(w)),x)) -> member(sum_class(u),complement(intersection(union(v,w),complement(x))))*.
% 299.85/300.46  256455[0:SpR:581.0,7615.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,intersection(complement(w),complement(x)))) -> member(sum_class(u),complement(intersection(complement(v),union(w,x))))*.
% 299.85/300.46  256891[5:Res:5579.2,251410.0] || subclass(u,intersection(power_class(v),complement(w))) member(regular(intersection(x,u)),union(complement(power_class(v)),w))* -> equal(intersection(x,u),identity_relation).
% 299.85/300.46  256886[5:Res:5604.2,251410.0] || subclass(u,intersection(power_class(v),complement(w))) member(regular(intersection(u,x)),union(complement(power_class(v)),w))* -> equal(intersection(u,x),identity_relation).
% 299.85/300.46  256866[5:Res:5295.1,251410.0] || member(regular(intersection(u,intersection(power_class(v),complement(w)))),union(complement(power_class(v)),w))* -> equal(intersection(u,intersection(power_class(v),complement(w))),identity_relation).
% 299.85/300.46  256857[0:Res:20388.1,251410.0] || subclass(rest_relation,flip(intersection(power_class(u),complement(v)))) member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),union(complement(power_class(u)),v))* -> .
% 299.85/300.46  256856[0:Res:20387.1,251410.0] || subclass(rest_relation,rotate(intersection(power_class(u),complement(v)))) member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),union(complement(power_class(u)),v))* -> .
% 299.85/300.46  256848[5:Res:5294.1,251410.0] || member(regular(intersection(intersection(power_class(u),complement(v)),w)),union(complement(power_class(u)),v))* -> equal(intersection(intersection(power_class(u),complement(v)),w),identity_relation).
% 299.85/300.46  256813[0:SpL:579.0,251410.0] || member(u,intersection(power_class(v),power_class(intersection(complement(w),complement(x)))))* member(u,union(complement(power_class(v)),image(element_relation,union(w,x)))) -> .
% 299.85/300.46  257083[5:Res:5579.2,251419.0] || subclass(u,intersection(complement(v),power_class(w))) member(regular(intersection(x,u)),union(v,complement(power_class(w))))* -> equal(intersection(x,u),identity_relation).
% 299.85/300.46  257078[5:Res:5604.2,251419.0] || subclass(u,intersection(complement(v),power_class(w))) member(regular(intersection(u,x)),union(v,complement(power_class(w))))* -> equal(intersection(u,x),identity_relation).
% 299.85/300.46  257058[5:Res:5295.1,251419.0] || member(regular(intersection(u,intersection(complement(v),power_class(w)))),union(v,complement(power_class(w))))* -> equal(intersection(u,intersection(complement(v),power_class(w))),identity_relation).
% 299.85/300.46  257049[0:Res:20388.1,251419.0] || subclass(rest_relation,flip(intersection(complement(u),power_class(v)))) member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),union(u,complement(power_class(v))))* -> .
% 299.85/300.46  257048[0:Res:20387.1,251419.0] || subclass(rest_relation,rotate(intersection(complement(u),power_class(v)))) member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),union(u,complement(power_class(v))))* -> .
% 299.85/300.46  257040[5:Res:5294.1,251419.0] || member(regular(intersection(intersection(complement(u),power_class(v)),w)),union(u,complement(power_class(v))))* -> equal(intersection(intersection(complement(u),power_class(v)),w),identity_relation).
% 299.85/300.46  257011[0:SpL:579.0,251419.0] || member(u,intersection(power_class(intersection(complement(v),complement(w))),power_class(x)))* member(u,union(image(element_relation,union(v,w)),complement(power_class(x)))) -> .
% 299.85/300.46  257225[0:Res:783.1,20569.2] || subclass(ordered_pair(u,v),union(w,x))* member(unordered_pair(u,singleton(v)),complement(x))* member(unordered_pair(u,singleton(v)),complement(w))* -> .
% 299.85/300.46  257209[17:Res:195177.2,20569.2] || member(u,universal_class) subclass(domain_relation,union(v,w))* member(ordered_pair(u,identity_relation),complement(w))* member(ordered_pair(u,identity_relation),complement(v))* -> .
% 299.85/300.46  257524[5:SpL:47789.0,20559.1] || subclass(universal_class,intersection(complement(u),complement(v))) member(regular(ordered_pair(w,x)),union(u,v))* -> equal(regular(ordered_pair(w,x)),singleton(w)).
% 299.85/300.46  257549[5:MRR:257548.1,257464.0] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(apply(choice,regular(ordered_pair(u,v))),singleton(v))** equal(apply(choice,regular(ordered_pair(u,v))),u)**.
% 299.85/300.46  258068[5:Res:8059.2,595.0] || well_ordering(u,universal_class) -> equal(intersection(restrict(v,w,x),y),identity_relation) member(least(u,intersection(restrict(v,w,x),y)),cross_product(w,x))*.
% 299.85/300.46  258262[5:Res:8060.2,595.0] || well_ordering(u,universal_class) -> equal(intersection(v,restrict(w,x,y)),identity_relation) member(least(u,intersection(v,restrict(w,x,y))),cross_product(x,y))*.
% 299.85/300.46  258399[21:Res:8057.3,243787.1] || well_ordering(u,universal_class) subclass(v,complement(compose(complement(element_relation),inverse(element_relation))))* member(least(u,v),cross_product(universal_class,universal_class))* -> equal(v,identity_relation).
% 299.85/300.46  258380[5:Res:8057.3,756.0] || well_ordering(u,universal_class) subclass(v,cantor(restrict(w,x,singleton(y)))) -> equal(v,identity_relation) member(least(u,v),segment(w,x,y))*.
% 299.85/300.46  258368[5:Res:8057.3,8150.0] || well_ordering(u,universal_class) subclass(v,symmetric_difference(cross_product(w,x),y)) -> equal(v,identity_relation) member(least(u,v),complement(restrict(y,w,x)))*.
% 299.85/300.46  258364[5:Res:8057.3,8147.0] || well_ordering(u,universal_class) subclass(v,symmetric_difference(w,cross_product(x,y))) -> equal(v,identity_relation) member(least(u,v),complement(restrict(w,x,y)))*.
% 299.85/300.46  258565[0:SpL:941.0,8164.1] || member(u,symmetric_difference(union(v,w),union(complement(v),complement(w))))* subclass(complement(symmetric_difference(complement(v),complement(w))),x)* -> member(u,x)*.
% 299.85/300.46  259007[5:Res:3364.1,8397.0] || member(restrict(u,v,w),universal_class) -> equal(sum_class(restrict(u,v,w)),identity_relation) member(regular(sum_class(restrict(u,v,w))),cross_product(v,w))*.
% 299.85/300.46  259020[5:MRR:259012.2,5247.1] || connected(u,restrict(v,w,x)) -> well_ordering(u,restrict(v,w,x)) member(regular(not_well_ordering(u,restrict(v,w,x))),cross_product(w,x))*.
% 299.85/300.46  259359[0:Res:30856.1,4.0] || member(not_subclass_element(u,intersection(v,w)),union(v,w)) -> member(not_subclass_element(u,intersection(v,w)),symmetric_difference(v,w))* subclass(u,intersection(v,w)).
% 299.85/300.46  259863[0:SpR:580.0,8441.2] || subclass(u,symmetric_difference(intersection(complement(v),complement(w)),x)) -> subclass(u,y) member(not_subclass_element(u,y),complement(intersection(union(v,w),complement(x))))*.
% 299.85/300.46  259852[0:SpR:581.0,8441.2] || subclass(u,symmetric_difference(v,intersection(complement(w),complement(x)))) -> subclass(u,y) member(not_subclass_element(u,y),complement(intersection(complement(v),union(w,x))))*.
% 299.85/300.46  260079[5:Res:164613.0,8430.0] || subclass(union(u,identity_relation),v) -> subclass(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),w) member(not_subclass_element(symmetric_difference(complement(u),symmetric_difference(universal_class,u)),w),v)*.
% 299.85/300.46  260359[21:Res:8213.2,243787.1] || subclass(u,complement(compose(complement(element_relation),inverse(element_relation)))) member(not_subclass_element(intersection(v,u),w),cross_product(universal_class,universal_class))* -> subclass(intersection(v,u),w).
% 299.85/300.46  260335[0:Res:8213.2,756.0] || subclass(u,cantor(restrict(v,w,singleton(x)))) -> subclass(intersection(y,u),z) member(not_subclass_element(intersection(y,u),z),segment(v,w,x))*.
% 299.85/300.46  260323[0:Res:8213.2,8150.0] || subclass(u,symmetric_difference(cross_product(v,w),x)) -> subclass(intersection(y,u),z) member(not_subclass_element(intersection(y,u),z),complement(restrict(x,v,w)))*.
% 299.85/300.46  260319[0:Res:8213.2,8147.0] || subclass(u,symmetric_difference(v,cross_product(w,x))) -> subclass(intersection(y,u),z) member(not_subclass_element(intersection(y,u),z),complement(restrict(v,w,x)))*.
% 299.85/300.46  260668[5:Res:260484.1,1014.1] || subclass(universal_class,domain_of(restrict(u,v,cantor(w))))* section(u,cantor(w),v) -> equal(domain_of(restrict(u,v,cantor(w))),cantor(w)).
% 299.85/300.46  260906[0:Res:8216.1,595.0] ||  -> subclass(intersection(u,intersection(v,restrict(w,x,y))),z) member(not_subclass_element(intersection(u,intersection(v,restrict(w,x,y))),z),cross_product(x,y))*.
% 299.85/300.46  261143[5:Res:260940.0,5215.0] || well_ordering(u,v) -> equal(intersection(w,intersection(x,v)),identity_relation) member(least(u,intersection(w,intersection(x,v))),intersection(w,intersection(x,v)))*.
% 299.85/300.46  261142[3:Res:260940.0,3692.1] inductive(intersection(u,intersection(v,w))) || well_ordering(x,w) -> member(least(x,intersection(u,intersection(v,w))),intersection(u,intersection(v,w)))*.
% 299.85/300.46  261285[0:Res:261060.0,8435.0] ||  -> subclass(intersection(u,restrict(restrict(v,w,x),y,z)),x1) member(not_subclass_element(intersection(u,restrict(restrict(v,w,x),y,z)),x1),v)*.
% 299.85/300.46  261476[0:Res:8215.1,595.0] ||  -> subclass(intersection(u,intersection(restrict(v,w,x),y)),z) member(not_subclass_element(intersection(u,intersection(restrict(v,w,x),y)),z),cross_product(w,x))*.
% 299.85/300.46  261713[5:Res:261510.0,5215.0] || well_ordering(u,v) -> equal(intersection(w,intersection(v,x)),identity_relation) member(least(u,intersection(w,intersection(v,x))),intersection(w,intersection(v,x)))*.
% 299.85/300.46  261712[3:Res:261510.0,3692.1] inductive(intersection(u,intersection(v,w))) || well_ordering(x,v) -> member(least(x,intersection(u,intersection(v,w))),intersection(u,intersection(v,w)))*.
% 299.85/300.46  262003[21:Res:8307.2,243787.1] || subclass(u,complement(compose(complement(element_relation),inverse(element_relation)))) member(not_subclass_element(intersection(u,v),w),cross_product(universal_class,universal_class))* -> subclass(intersection(u,v),w).
% 299.85/300.46  261979[0:Res:8307.2,756.0] || subclass(u,cantor(restrict(v,w,singleton(x)))) -> subclass(intersection(u,y),z) member(not_subclass_element(intersection(u,y),z),segment(v,w,x))*.
% 299.85/300.46  261967[0:Res:8307.2,8150.0] || subclass(u,symmetric_difference(cross_product(v,w),x)) -> subclass(intersection(u,y),z) member(not_subclass_element(intersection(u,y),z),complement(restrict(x,v,w)))*.
% 299.85/300.46  261963[0:Res:8307.2,8147.0] || subclass(u,symmetric_difference(v,cross_product(w,x))) -> subclass(intersection(u,y),z) member(not_subclass_element(intersection(u,y),z),complement(restrict(v,w,x)))*.
% 299.85/300.46  262105[0:Rew:938.0,261878.1] || subclass(complement(restrict(u,v,w)),x) -> subclass(symmetric_difference(u,cross_product(v,w)),y) member(not_subclass_element(symmetric_difference(u,cross_product(v,w)),y),x)*.
% 299.85/300.46  262106[0:Rew:939.0,261877.1] || subclass(complement(restrict(u,v,w)),x) -> subclass(symmetric_difference(cross_product(v,w),u),y) member(not_subclass_element(symmetric_difference(cross_product(v,w),u),y),x)*.
% 299.85/300.46  262160[5:Res:261657.0,5215.0] || well_ordering(u,v) -> equal(intersection(w,complement(complement(v))),identity_relation) member(least(u,intersection(w,complement(complement(v)))),intersection(w,complement(complement(v))))*.
% 299.85/300.46  262159[3:Res:261657.0,3692.1] inductive(intersection(u,complement(complement(v)))) || well_ordering(w,v) -> member(least(w,intersection(u,complement(complement(v)))),intersection(u,complement(complement(v))))*.
% 299.85/300.46  262380[0:Res:8310.1,595.0] ||  -> subclass(intersection(intersection(u,restrict(v,w,x)),y),z) member(not_subclass_element(intersection(intersection(u,restrict(v,w,x)),y),z),cross_product(w,x))*.
% 299.85/300.46  262619[5:Res:262411.0,5215.0] || well_ordering(u,v) -> equal(intersection(intersection(w,v),x),identity_relation) member(least(u,intersection(intersection(w,v),x)),intersection(intersection(w,v),x))*.
% 299.85/300.46  262618[3:Res:262411.0,3692.1] inductive(intersection(intersection(u,v),w)) || well_ordering(x,v) -> member(least(x,intersection(intersection(u,v),w)),intersection(intersection(u,v),w))*.
% 299.85/300.46  262806[5:Res:262607.0,5215.0] || well_ordering(u,v) -> equal(complement(complement(intersection(w,v))),identity_relation) member(least(u,complement(complement(intersection(w,v)))),complement(complement(intersection(w,v))))*.
% 299.85/300.46  262805[3:Res:262607.0,3692.1] inductive(complement(complement(intersection(u,v)))) || well_ordering(w,v) -> member(least(w,complement(complement(intersection(u,v)))),complement(complement(intersection(u,v))))*.
% 299.85/300.46  263071[0:Res:8309.1,595.0] ||  -> subclass(intersection(intersection(restrict(u,v,w),x),y),z) member(not_subclass_element(intersection(intersection(restrict(u,v,w),x),y),z),cross_product(v,w))*.
% 299.85/300.46  263462[5:Res:263102.0,5215.0] || well_ordering(u,v) -> equal(intersection(intersection(v,w),x),identity_relation) member(least(u,intersection(intersection(v,w),x)),intersection(intersection(v,w),x))*.
% 299.85/300.46  263461[3:Res:263102.0,3692.1] inductive(intersection(intersection(u,v),w)) || well_ordering(x,u) -> member(least(x,intersection(intersection(u,v),w)),intersection(intersection(u,v),w))*.
% 299.85/300.46  263751[5:Res:263405.0,5215.0] || well_ordering(u,v) -> equal(intersection(complement(complement(v)),w),identity_relation) member(least(u,intersection(complement(complement(v)),w)),intersection(complement(complement(v)),w))*.
% 299.85/300.46  263750[3:Res:263405.0,3692.1] inductive(intersection(complement(complement(u)),v)) || well_ordering(w,u) -> member(least(w,intersection(complement(complement(u)),v)),intersection(complement(complement(u)),v))*.
% 299.85/300.46  263931[5:Res:263745.0,5215.0] || well_ordering(u,v) -> equal(complement(complement(complement(complement(v)))),identity_relation) member(least(u,complement(complement(complement(complement(v))))),complement(complement(complement(complement(v)))))*.
% 299.85/300.46  263930[3:Res:263745.0,3692.1] inductive(complement(complement(complement(complement(u))))) || well_ordering(v,u) -> member(least(v,complement(complement(complement(complement(u))))),complement(complement(complement(complement(u)))))*.
% 299.85/300.46  264100[5:Res:263450.0,5215.0] || well_ordering(u,v) -> equal(complement(complement(intersection(v,w))),identity_relation) member(least(u,complement(complement(intersection(v,w)))),complement(complement(intersection(v,w))))*.
% 299.85/300.46  264099[3:Res:263450.0,3692.1] inductive(complement(complement(intersection(u,v)))) || well_ordering(w,u) -> member(least(w,complement(complement(intersection(u,v)))),complement(complement(intersection(u,v))))*.
% 299.85/300.46  265521[5:Res:28995.3,610.0] function(cantor(inverse(u))) || member(cross_product(universal_class,universal_class),universal_class) -> equal(cantor(inverse(u)),identity_relation) member(least(element_relation,cantor(inverse(u))),range_of(u))*.
% 299.85/300.46  265514[5:Res:28995.3,119626.0] function(symmetric_difference(universal_class,u)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(symmetric_difference(universal_class,u),identity_relation) member(least(element_relation,symmetric_difference(universal_class,u)),complement(u))*.
% 299.85/300.46  265513[5:Res:28995.3,119659.0] function(symmetric_difference(universal_class,u)) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,symmetric_difference(universal_class,u)),u)* -> equal(symmetric_difference(universal_class,u),identity_relation).
% 299.85/300.46  265651[20:Res:265633.0,120713.0] ||  -> member(regular(complement(complement(symmetrization_of(identity_relation)))),image(universal_class,singleton(regular(complement(complement(symmetrization_of(identity_relation)))))))* asymmetric(cross_product(singleton(regular(complement(complement(symmetrization_of(identity_relation))))),universal_class),u)*.
% 299.85/300.46  265858[0:Res:262147.0,8435.0] ||  -> subclass(restrict(complement(complement(restrict(u,v,w))),x,y),z) member(not_subclass_element(restrict(complement(complement(restrict(u,v,w))),x,y),z),u)*.
% 299.85/300.46  266000[0:Res:262737.0,8435.0] ||  -> subclass(complement(complement(restrict(restrict(u,v,w),x,y))),z) member(not_subclass_element(complement(complement(restrict(restrict(u,v,w),x,y))),z),u)*.
% 299.85/300.46  266158[0:Res:261130.0,8435.0] ||  -> subclass(restrict(intersection(u,restrict(v,w,x)),y,z),x1) member(not_subclass_element(restrict(intersection(u,restrict(v,w,x)),y,z),x1),v)*.
% 299.85/300.46  266403[0:Res:261700.0,8435.0] ||  -> subclass(restrict(intersection(restrict(u,v,w),x),y,z),x1) member(not_subclass_element(restrict(intersection(restrict(u,v,w),x),y,z),x1),u)*.
% 299.85/300.46  266533[0:Res:262535.0,8435.0] ||  -> subclass(intersection(restrict(restrict(u,v,w),x,y),z),x1) member(not_subclass_element(intersection(restrict(restrict(u,v,w),x,y),z),x1),u)*.
% 299.85/300.46  266703[5:Res:29205.2,123566.0] ||  -> equal(regular(unordered_pair(u,v)),u)** equal(unordered_pair(u,v),identity_relation) equal(ordered_pair(first(ordered_pair(v,omega)),second(ordered_pair(v,omega))),ordered_pair(v,omega))**.
% 299.85/300.46  266631[5:Res:29204.2,123566.0] ||  -> equal(regular(unordered_pair(u,v)),v)** equal(unordered_pair(u,v),identity_relation) equal(ordered_pair(first(ordered_pair(u,omega)),second(ordered_pair(u,omega))),ordered_pair(u,omega))**.
% 299.85/300.46  267008[5:MRR:266974.4,204351.2] || member(sum_class(u),cross_product(v,w))* member(sum_class(u),x)* member(u,universal_class) subclass(universal_class,regular(restrict(x,v,w)))* -> .
% 299.85/300.46  267145[5:MRR:267098.4,204351.2] || member(power_class(u),cross_product(v,w))* member(power_class(u),x)* member(u,universal_class) subclass(universal_class,regular(restrict(x,v,w)))* -> .
% 299.85/300.46  268365[5:SpL:20365.2,9122.1] || member(u,universal_class) subclass(rest_relation,rest_of(cross_product(singleton(v),universal_class)))* member(v,domain_of(cross_product(u,universal_class)))* equal(rest_of(u),identity_relation) -> .
% 299.85/300.46  268730[5:Rew:251759.0,268662.0] ||  -> equal(symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(u)),identity_relation) member(regular(symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(u))),union(power_class(complement(inverse(identity_relation))),u))*.
% 299.85/300.46  268731[7:Rew:251758.0,268661.0] ||  -> equal(symmetric_difference(image(element_relation,singleton(identity_relation)),complement(u)),identity_relation) member(regular(symmetric_difference(image(element_relation,singleton(identity_relation)),complement(u))),union(power_class(complement(singleton(identity_relation))),u))*.
% 299.85/300.46  268733[5:Rew:122494.0,268658.0] ||  -> equal(symmetric_difference(power_class(complement(inverse(identity_relation))),complement(u)),identity_relation) member(regular(symmetric_difference(power_class(complement(inverse(identity_relation))),complement(u))),union(image(element_relation,symmetrization_of(identity_relation)),u))*.
% 299.85/300.46  268734[7:Rew:189471.0,268656.0] ||  -> equal(symmetric_difference(power_class(complement(singleton(identity_relation))),complement(u)),identity_relation) member(regular(symmetric_difference(power_class(complement(singleton(identity_relation))),complement(u))),union(image(element_relation,singleton(identity_relation)),u))*.
% 299.85/300.46  268735[5:Rew:251759.0,268639.0] ||  -> equal(symmetric_difference(complement(u),image(element_relation,symmetrization_of(identity_relation))),identity_relation) member(regular(symmetric_difference(complement(u),image(element_relation,symmetrization_of(identity_relation)))),union(u,power_class(complement(inverse(identity_relation)))))*.
% 299.85/300.46  268736[7:Rew:251758.0,268638.0] ||  -> equal(symmetric_difference(complement(u),image(element_relation,singleton(identity_relation))),identity_relation) member(regular(symmetric_difference(complement(u),image(element_relation,singleton(identity_relation)))),union(u,power_class(complement(singleton(identity_relation)))))*.
% 299.85/300.46  268738[5:Rew:122494.0,268635.0] ||  -> equal(symmetric_difference(complement(u),power_class(complement(inverse(identity_relation)))),identity_relation) member(regular(symmetric_difference(complement(u),power_class(complement(inverse(identity_relation))))),union(u,image(element_relation,symmetrization_of(identity_relation))))*.
% 299.85/300.46  268739[7:Rew:189471.0,268633.0] ||  -> equal(symmetric_difference(complement(u),power_class(complement(singleton(identity_relation)))),identity_relation) member(regular(symmetric_difference(complement(u),power_class(complement(singleton(identity_relation))))),union(u,image(element_relation,singleton(identity_relation))))*.
% 299.85/300.46  268896[5:Res:29474.1,8098.0] || member(regular(intersection(u,regular(cantor(inverse(v))))),range_of(v))* -> equal(intersection(u,regular(cantor(inverse(v)))),identity_relation) equal(cantor(inverse(v)),identity_relation).
% 299.85/300.46  268951[5:Obv:268905.1] || subclass(intersection(u,regular(union(v,w))),symmetric_difference(v,w))* -> equal(intersection(u,regular(union(v,w))),identity_relation) equal(union(v,w),identity_relation).
% 299.85/300.46  269072[5:Res:29474.1,8091.0] || member(regular(intersection(regular(cantor(inverse(u))),v)),range_of(u))* -> equal(intersection(regular(cantor(inverse(u))),v),identity_relation) equal(cantor(inverse(u)),identity_relation).
% 299.85/300.46  269129[5:Obv:269082.1] || subclass(intersection(regular(union(u,v)),w),symmetric_difference(u,v))* -> equal(intersection(regular(union(u,v)),w),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.46  269571[0:Res:780.2,7532.1] || member(u,universal_class) subclass(rest_relation,power_class(intersection(complement(v),complement(w)))) member(ordered_pair(u,rest_of(u)),image(element_relation,union(v,w)))* -> .
% 299.85/300.46  269517[0:SpL:249208.0,7532.1] || member(u,image(element_relation,union(intersection(power_class(v),complement(w)),x)))* member(u,power_class(intersection(union(complement(power_class(v)),w),complement(x)))) -> .
% 299.85/300.46  269516[0:SpL:249200.0,7532.1] || member(u,image(element_relation,union(intersection(complement(v),power_class(w)),x)))* member(u,power_class(intersection(union(v,complement(power_class(w))),complement(x)))) -> .
% 299.85/300.46  269494[0:SpL:249208.0,7532.1] || member(u,image(element_relation,union(v,intersection(power_class(w),complement(x)))))* member(u,power_class(intersection(complement(v),union(complement(power_class(w)),x)))) -> .
% 299.85/300.46  269493[0:SpL:249200.0,7532.1] || member(u,image(element_relation,union(v,intersection(complement(w),power_class(x)))))* member(u,power_class(intersection(complement(v),union(w,complement(power_class(x)))))) -> .
% 299.85/300.46  269790[7:Res:264409.0,27621.1] || member(complement(symmetrization_of(complement(singleton(identity_relation)))),universal_class) -> equal(complement(symmetrization_of(complement(singleton(identity_relation)))),identity_relation) equal(apply(choice,complement(symmetrization_of(complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.46  269789[7:Res:264355.0,27621.1] || member(complement(successor(complement(singleton(identity_relation)))),universal_class) -> equal(complement(successor(complement(singleton(identity_relation)))),identity_relation) equal(apply(choice,complement(successor(complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.46  269772[5:Res:263738.0,27621.1] || member(symmetric_difference(universal_class,complement(singleton(u))),universal_class) -> equal(symmetric_difference(universal_class,complement(singleton(u))),identity_relation) equal(apply(choice,symmetric_difference(universal_class,complement(singleton(u)))),u)**.
% 299.85/300.46  269756[5:Res:8249.0,27621.1] || member(restrict(singleton(u),v,w),universal_class) -> equal(restrict(singleton(u),v,w),identity_relation) equal(apply(choice,restrict(singleton(u),v,w)),u)**.
% 299.85/300.46  269801[5:MRR:269767.3,5247.1] || connected(u,singleton(v)) member(not_well_ordering(u,singleton(v)),universal_class) -> well_ordering(u,singleton(v)) equal(apply(choice,not_well_ordering(u,singleton(v))),v)**.
% 299.85/300.46  270049[17:Res:195208.2,20569.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,w))* member(ordered_pair(u,identity_relation),complement(w))* member(ordered_pair(u,identity_relation),complement(v))* -> .
% 299.85/300.46  270027[17:SpR:252726.0,195208.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(complement(power_class(v)),complement(power_class(w)))) -> member(ordered_pair(u,identity_relation),complement(intersection(power_class(v),power_class(w))))*.
% 299.85/300.46  270301[0:Rew:251233.0,270139.1] || subclass(union(complement(power_class(u)),v),w) -> subclass(symmetric_difference(power_class(u),complement(v)),x) member(not_subclass_element(symmetric_difference(power_class(u),complement(v)),x),w)*.
% 299.85/300.46  270303[5:Rew:251233.0,270136.1] || well_ordering(u,universal_class) -> equal(symmetric_difference(power_class(v),complement(w)),identity_relation) member(least(u,symmetric_difference(power_class(v),complement(w))),union(complement(power_class(v)),w))*.
% 299.85/300.46  270304[0:Rew:251233.0,270133.0] ||  -> subclass(intersection(u,symmetric_difference(power_class(v),complement(w))),x) member(not_subclass_element(intersection(u,symmetric_difference(power_class(v),complement(w))),x),union(complement(power_class(v)),w))*.
% 299.85/300.46  270307[0:Rew:251233.0,270112.0] ||  -> subclass(intersection(symmetric_difference(power_class(u),complement(v)),w),x) member(not_subclass_element(intersection(symmetric_difference(power_class(u),complement(v)),w),x),union(complement(power_class(u)),v))*.
% 299.85/300.46  270692[0:SpL:251244.0,8164.1] || member(u,symmetric_difference(union(complement(power_class(v)),w),complement(x)))* subclass(union(intersection(power_class(v),complement(w)),x),y)* -> member(u,y)*.
% 299.85/300.46  270546[0:SpR:249208.0,251244.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),union(complement(power_class(w)),x))),union(intersection(power_class(u),complement(v)),intersection(power_class(w),complement(x))))**.
% 299.85/300.46  270545[0:SpR:249200.0,251244.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),union(w,complement(power_class(x))))),union(intersection(power_class(u),complement(v)),intersection(complement(w),power_class(x))))**.
% 299.85/300.46  270520[0:SpR:251244.0,249208.0] ||  -> equal(union(complement(power_class(u)),intersection(union(complement(power_class(v)),w),complement(x))),complement(intersection(power_class(u),union(intersection(power_class(v),complement(w)),x))))**.
% 299.85/300.46  270500[0:SpR:251244.0,249200.0] ||  -> equal(union(intersection(union(complement(power_class(u)),v),complement(w)),complement(power_class(x))),complement(intersection(union(intersection(power_class(u),complement(v)),w),power_class(x))))**.
% 299.85/300.46  29442[0:SpL:941.0,2609.2] || member(u,union(complement(v),complement(w)))* member(u,union(v,w)) subclass(symmetric_difference(complement(v),complement(w)),x)* -> member(u,x)*.
% 299.85/300.46  123358[5:Rew:122359.0,123357.2] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,complement(w)) member(ordered_pair(u,ordered_pair(v,compose(u,v))),complement(complement(w)))* -> .
% 299.85/300.46  34155[0:Res:3654.2,944.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(w,x)) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),union(w,x))*.
% 299.85/300.46  41174[0:Res:3654.2,8898.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(w,singleton(w)))* -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),successor(w))*.
% 299.85/300.46  34139[0:Res:3654.2,2.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,w)* subclass(w,x)* -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),x)*.
% 299.85/300.46  41065[0:Res:3654.2,8834.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(w,inverse(w)))* -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),symmetrization_of(w))*.
% 299.85/300.46  28790[5:SpR:5401.2,5401.2] || member(u,universal_class) member(v,universal_class) -> member(u,domain_of(w)) member(v,domain_of(x)) equal(range__dfg(w,u,universal_class),range__dfg(x,v,universal_class))*.
% 299.85/300.46  34664[0:Res:608.1,2612.0] || member(not_subclass_element(u,intersection(v,domain_of(w))),cantor(w))* member(not_subclass_element(u,intersection(v,domain_of(w))),v)* -> subclass(u,intersection(v,domain_of(w))).
% 299.85/300.46  35201[0:Rew:930.0,35047.0] ||  -> subclass(symmetric_difference(complement(intersection(u,v)),union(u,v)),w) member(not_subclass_element(symmetric_difference(complement(intersection(u,v)),union(u,v)),w),complement(symmetric_difference(u,v)))*.
% 299.85/300.46  30842[0:Res:766.2,2599.1] || subclass(u,complement(intersection(v,w))) member(not_subclass_element(u,x),union(v,w)) -> subclass(u,x) member(not_subclass_element(u,x),symmetric_difference(v,w))*.
% 299.85/300.46  36350[0:SpR:2089.1,648.0] ||  -> subclass(cross_product(u,v),w) member(unordered_pair(first(not_subclass_element(cross_product(u,v),w)),singleton(second(not_subclass_element(cross_product(u,v),w)))),not_subclass_element(cross_product(u,v),w))*.
% 299.85/300.46  8210[0:Res:356.1,9.0] ||  -> subclass(intersection(u,unordered_pair(v,w)),x) equal(not_subclass_element(intersection(u,unordered_pair(v,w)),x),w)** equal(not_subclass_element(intersection(u,unordered_pair(v,w)),x),v)**.
% 299.85/300.46  8304[0:Res:366.1,9.0] ||  -> subclass(intersection(unordered_pair(u,v),w),x) equal(not_subclass_element(intersection(unordered_pair(u,v),w),x),v)** equal(not_subclass_element(intersection(unordered_pair(u,v),w),x),u)**.
% 299.85/300.46  47642[0:Res:29726.0,9.0] ||  -> subclass(complement(complement(unordered_pair(u,v))),w) equal(not_subclass_element(complement(complement(unordered_pair(u,v))),w),v)** equal(not_subclass_element(complement(complement(unordered_pair(u,v))),w),u)**.
% 299.85/300.46  34142[5:Res:3654.2,22549.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,complement(compose(element_relation,universal_class))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),element_relation)* -> .
% 299.85/300.46  5340[5:Rew:5180.0,4910.0] ||  -> equal(restrict(u,v,w),identity_relation) equal(ordered_pair(first(regular(restrict(u,v,w))),second(regular(restrict(u,v,w)))),regular(restrict(u,v,w)))**.
% 299.85/300.46  30832[5:Res:5220.1,2599.1] || member(regular(complement(intersection(u,v))),union(u,v)) -> equal(complement(intersection(u,v)),identity_relation) member(regular(complement(intersection(u,v))),symmetric_difference(u,v))*.
% 299.85/300.46  38760[5:Res:8453.1,3807.1] || equal(restrict(u,v,v),identity_relation) transitive(u,v) -> equal(compose(restrict(u,v,v),restrict(u,v,v)),restrict(u,v,v))**.
% 299.85/300.46  123311[5:Rew:122359.0,91657.0] || member(complement(complement(symmetrization_of(u))),universal_class)* connected(u,v)* -> equal(cross_product(v,v),identity_relation) member(least(element_relation,cross_product(v,v)),cross_product(v,v))*.
% 299.85/300.46  125968[5:Res:5288.2,2612.0] || subclass(omega,u) member(not_subclass_element(v,intersection(w,u)),w)* -> equal(integer_of(not_subclass_element(v,intersection(w,u))),identity_relation) subclass(v,intersection(w,u)).
% 299.85/300.46  183430[5:Res:366.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(intersection(u,w),x) equal(integer_of(ordered_pair(not_subclass_element(intersection(u,w),x),least(omega,u))),identity_relation)**.
% 299.85/300.46  183480[5:Res:356.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(intersection(w,u),x) equal(integer_of(ordered_pair(not_subclass_element(intersection(w,u),x),least(omega,u))),identity_relation)**.
% 299.85/300.46  183530[7:Res:167393.0,5490.0] || subclass(symmetric_difference(universal_class,u),v)* well_ordering(omega,v) -> member(identity_relation,union(u,identity_relation)) equal(integer_of(ordered_pair(identity_relation,least(omega,symmetric_difference(universal_class,u)))),identity_relation)**.
% 299.85/300.46  183442[5:Res:26.2,5490.0] || member(u,universal_class) subclass(complement(v),w)* well_ordering(omega,w) -> member(u,v) equal(integer_of(ordered_pair(u,least(omega,complement(v)))),identity_relation)**.
% 299.85/300.46  183448[5:Res:118490.1,5490.0] || member(u,complement(v)) subclass(symmetric_difference(universal_class,v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(u,least(omega,symmetric_difference(universal_class,v)))),identity_relation)**.
% 299.85/300.46  183478[5:Res:766.2,5490.0] || subclass(u,v) subclass(v,w)* well_ordering(omega,w)* -> subclass(u,x) equal(integer_of(ordered_pair(not_subclass_element(u,x),least(omega,v))),identity_relation)**.
% 299.85/300.46  183481[5:Res:764.2,5490.0] || member(u,universal_class) subclass(universal_class,v) subclass(v,w)* well_ordering(omega,w)* -> equal(integer_of(ordered_pair(power_class(u),least(omega,v))),identity_relation)**.
% 299.85/300.46  183484[5:Res:765.2,5490.0] || member(u,universal_class) subclass(universal_class,v) subclass(v,w)* well_ordering(omega,w)* -> equal(integer_of(ordered_pair(sum_class(u),least(omega,v))),identity_relation)**.
% 299.85/300.46  183491[5:Res:5404.2,5490.0] || well_ordering(u,universal_class) subclass(v,w)* well_ordering(omega,w)* -> equal(v,identity_relation) equal(integer_of(ordered_pair(least(u,v),least(omega,v))),identity_relation)**.
% 299.85/300.46  30218[0:MRR:30214.1,29469.1] || member(least(successor_relation,u),universal_class)* equal(successor(v),least(successor_relation,u))* member(v,u)* subclass(u,w)* well_ordering(successor_relation,w)* -> .
% 299.85/300.46  120342[5:Rew:118447.0,120322.3] || member(u,v) subclass(v,w)* well_ordering(union(x,identity_relation),w)* -> member(ordered_pair(u,least(union(x,identity_relation),v)),symmetric_difference(universal_class,x))*.
% 299.85/300.46  153304[5:Res:118490.1,128.3] || member(ordered_pair(u,least(symmetric_difference(universal_class,v),w)),complement(v))* member(u,w) subclass(w,x)* well_ordering(symmetric_difference(universal_class,v),x)* -> .
% 299.85/300.46  34138[0:Res:3654.2,126.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class))* subclass(composition_function,w) subclass(w,x)* well_ordering(y,x)* -> member(least(y,w),w)*.
% 299.85/300.46  9001[5:Res:1013.1,5259.0] || section(u,singleton(v),w) well_ordering(x,singleton(v)) -> equal(segment(x,segment(u,w,v),least(x,segment(u,w,v))),identity_relation)**.
% 299.85/300.46  46193[3:Res:45887.0,3692.1] inductive(restrict(cantor(u),v,w)) || well_ordering(x,domain_of(u)) -> member(least(x,restrict(cantor(u),v,w)),restrict(cantor(u),v,w))*.
% 299.85/300.46  90332[0:Res:45819.1,3704.1] || subclass(complement(u),cantor(v))* member(w,universal_class)* well_ordering(x,domain_of(v))* -> member(w,u)* member(least(x,complement(u)),complement(u))*.
% 299.85/300.46  45986[0:Res:45825.0,3705.2] || member(u,cantor(v))* member(u,w)* well_ordering(x,domain_of(v)) -> member(least(x,intersection(w,cantor(v))),intersection(w,cantor(v)))*.
% 299.85/300.46  90403[0:Res:45819.1,3700.1] || subclass(unordered_pair(u,v),cantor(w))* member(v,universal_class) well_ordering(x,domain_of(w))* -> member(least(x,unordered_pair(u,v)),unordered_pair(u,v))*.
% 299.85/300.46  90638[0:Res:45819.1,3701.1] || subclass(unordered_pair(u,v),cantor(w))* member(u,universal_class) well_ordering(x,domain_of(w))* -> member(least(x,unordered_pair(u,v)),unordered_pair(u,v))*.
% 299.85/300.46  45897[0:Res:45823.0,3705.2] || member(u,v)* member(u,cantor(w))* well_ordering(x,domain_of(w)) -> member(least(x,intersection(cantor(w),v)),intersection(cantor(w),v))*.
% 299.85/300.46  37851[5:Res:5432.3,29469.0] || section(u,v,w) well_ordering(x,v) -> equal(domain_of(restrict(u,w,v)),identity_relation) member(least(x,domain_of(restrict(u,w,v))),universal_class)*.
% 299.85/300.46  126450[5:SpR:79123.1,5461.2] || equal(cantor(restrict(u,v,w)),universal_class)** section(u,w,v) well_ordering(x,w)* -> equal(segment(x,universal_class,least(x,universal_class)),identity_relation)**.
% 299.85/300.46  91922[5:SpR:77667.1,5461.2] || equal(rest_of(restrict(u,v,w)),rest_relation)** section(u,w,v) well_ordering(x,w)* -> equal(segment(x,universal_class,least(x,universal_class)),identity_relation)**.
% 299.85/300.46  51721[0:Res:20366.2,126.0] || member(u,universal_class)* subclass(rest_relation,rest_of(v)) subclass(domain_of(v),w)* well_ordering(x,w)* -> member(least(x,domain_of(v)),domain_of(v))*.
% 299.85/300.46  48995[3:Res:28061.2,9.0] inductive(unordered_pair(u,v)) || well_ordering(w,unordered_pair(u,v)) -> equal(least(w,unordered_pair(u,v)),v)** equal(least(w,unordered_pair(u,v)),u)**.
% 299.85/300.46  86334[3:Res:47693.0,3692.1] inductive(complement(union(u,v))) || well_ordering(w,intersection(complement(u),complement(v))) -> member(least(w,complement(union(u,v))),complement(union(u,v)))*.
% 299.85/300.46  123433[5:Rew:118446.0,95774.2,118447.0,95774.1] inductive(symmetric_difference(complement(intersection(universal_class,u)),universal_class)) || well_ordering(v,union(u,identity_relation)) -> member(least(v,symmetric_difference(complement(u),universal_class)),symmetric_difference(complement(u),universal_class))*.
% 299.85/300.46  47987[0:Res:47679.0,3704.1] || member(u,universal_class) well_ordering(v,domain_of(w)) -> member(u,complement(cantor(w)))* member(least(v,complement(complement(cantor(w)))),complement(complement(cantor(w))))*.
% 299.85/300.46  123360[5:Rew:25601.0,28104.2,118455.0,28104.2] inductive(symmetric_difference(intersection(u,universal_class),identity_relation)) || well_ordering(v,complement(symmetric_difference(u,universal_class))) -> member(least(v,complement(symmetric_difference(u,universal_class))),complement(symmetric_difference(u,universal_class)))*.
% 299.85/300.46  48799[5:Res:5403.2,9.0] || well_ordering(u,unordered_pair(v,w)) -> equal(unordered_pair(v,w),identity_relation) equal(least(u,unordered_pair(v,w)),w)** equal(least(u,unordered_pair(v,w)),v)**.
% 299.85/300.46  46195[5:Res:45887.0,5215.0] || well_ordering(u,domain_of(v)) -> equal(restrict(cantor(v),w,x),identity_relation) member(least(u,restrict(cantor(v),w,x)),restrict(cantor(v),w,x))*.
% 299.85/300.46  86336[5:Res:47693.0,5215.0] || well_ordering(u,intersection(complement(v),complement(w))) -> equal(complement(union(v,w)),identity_relation) member(least(u,complement(union(v,w))),complement(union(v,w)))*.
% 299.85/300.46  34415[0:Res:59.1,3336.0] || member(ordered_pair(u,v),compose(w,x))* member(y,z)* -> equal(ordered_pair(first(ordered_pair(y,v)),second(ordered_pair(y,v))),ordered_pair(y,v))**.
% 299.85/300.46  181836[5:Res:5330.2,119626.0] || member(intersection(u,symmetric_difference(universal_class,v)),universal_class) -> equal(intersection(u,symmetric_difference(universal_class,v)),identity_relation) member(apply(choice,intersection(u,symmetric_difference(universal_class,v))),complement(v))*.
% 299.85/300.46  181835[5:Res:5330.2,119659.0] || member(intersection(u,symmetric_difference(universal_class,v)),universal_class) member(apply(choice,intersection(u,symmetric_difference(universal_class,v))),v)* -> equal(intersection(u,symmetric_difference(universal_class,v)),identity_relation).
% 299.85/300.46  30617[5:Res:5330.2,5405.0] || member(intersection(u,regular(v)),universal_class) member(apply(choice,intersection(u,regular(v))),v)* -> equal(intersection(u,regular(v)),identity_relation) equal(v,identity_relation).
% 299.85/300.46  182037[5:Res:5331.2,119626.0] || member(intersection(symmetric_difference(universal_class,u),v),universal_class) -> equal(intersection(symmetric_difference(universal_class,u),v),identity_relation) member(apply(choice,intersection(symmetric_difference(universal_class,u),v)),complement(u))*.
% 299.85/300.46  182036[5:Res:5331.2,119659.0] || member(intersection(symmetric_difference(universal_class,u),v),universal_class) member(apply(choice,intersection(symmetric_difference(universal_class,u),v)),u)* -> equal(intersection(symmetric_difference(universal_class,u),v),identity_relation).
% 299.85/300.46  30723[5:Res:5331.2,5405.0] || member(intersection(regular(u),v),universal_class) member(apply(choice,intersection(regular(u),v)),u)* -> equal(intersection(regular(u),v),identity_relation) equal(u,identity_relation).
% 299.85/300.46  183434[5:Res:5216.2,5490.0] || member(u,universal_class) subclass(u,v)* well_ordering(omega,v)* -> equal(u,identity_relation) equal(integer_of(ordered_pair(apply(choice,u),least(omega,u))),identity_relation)**.
% 299.85/300.46  3521[0:Res:59.1,338.0] || member(ordered_pair(u,not_subclass_element(complement(image(v,image(w,singleton(u)))),x)),compose(v,w))* -> subclass(complement(image(v,image(w,singleton(u)))),x).
% 299.85/300.46  125690[7:Res:125624.1,60.0] || equal(image(u,image(v,singleton(w))),singleton(identity_relation)) member(ordered_pair(w,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,identity_relation),compose(u,v))*.
% 299.85/300.46  183416[5:Res:66.2,5490.0] function(u) || member(v,universal_class) subclass(universal_class,w) well_ordering(omega,w)* -> equal(integer_of(ordered_pair(image(u,v),least(omega,universal_class))),identity_relation)**.
% 299.85/300.46  166705[5:Res:8453.1,74983.1] || equal(apply(u,v),identity_relation) well_ordering(element_relation,image(u,singleton(v)))* -> equal(image(u,singleton(v)),universal_class) member(image(u,singleton(v)),universal_class).
% 299.85/300.46  125981[0:SpR:9093.0,557.1] || member(inverse(restrict(cross_product(u,universal_class),v,w)),universal_class) -> member(ordered_pair(inverse(restrict(cross_product(u,universal_class),v,w)),image(cross_product(v,w),u)),domain_relation)*.
% 299.85/300.46  50136[0:SpR:579.0,8660.0] ||  -> equal(power_class(intersection(power_class(intersection(complement(u),complement(v))),complement(singleton(image(element_relation,union(u,v)))))),complement(image(element_relation,successor(image(element_relation,union(u,v))))))**.
% 299.85/300.46  50225[0:SpR:579.0,8659.0] ||  -> equal(power_class(intersection(power_class(intersection(complement(u),complement(v))),complement(inverse(image(element_relation,union(u,v)))))),complement(image(element_relation,symmetrization_of(image(element_relation,union(u,v))))))**.
% 299.85/300.46  33649[5:Res:5427.3,2.0] inductive(u) || well_ordering(v,u) subclass(image(successor_relation,u),w) -> equal(image(successor_relation,u),identity_relation) member(least(v,image(successor_relation,u)),w)*.
% 299.85/300.46  183456[5:Res:29474.1,5490.0] || member(u,range_of(v)) subclass(cantor(inverse(v)),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(u,least(omega,cantor(inverse(v))))),identity_relation)**.
% 299.85/300.46  46138[3:Res:45938.0,3692.1] inductive(intersection(u,cantor(inverse(v)))) || well_ordering(w,range_of(v)) -> member(least(w,intersection(u,cantor(inverse(v)))),intersection(u,cantor(inverse(v))))*.
% 299.85/300.46  34919[5:Res:29474.1,128.3] || member(ordered_pair(u,least(cantor(inverse(v)),w)),range_of(v))* member(u,w) subclass(w,x)* well_ordering(cantor(inverse(v)),x)* -> .
% 299.85/300.46  49047[5:Res:47940.0,5215.0] || well_ordering(u,range_of(v)) -> equal(complement(complement(cantor(inverse(v)))),identity_relation) member(least(u,complement(complement(cantor(inverse(v))))),complement(complement(cantor(inverse(v)))))*.
% 299.85/300.46  46140[5:Res:45938.0,5215.0] || well_ordering(u,range_of(v)) -> equal(intersection(w,cantor(inverse(v))),identity_relation) member(least(u,intersection(w,cantor(inverse(v)))),intersection(w,cantor(inverse(v))))*.
% 299.85/300.46  46097[5:Res:45849.0,5215.0] || well_ordering(u,range_of(v)) -> equal(intersection(cantor(inverse(v)),w),identity_relation) member(least(u,intersection(cantor(inverse(v)),w)),intersection(cantor(inverse(v)),w))*.
% 299.85/300.46  30608[5:Res:5330.2,610.0] || member(intersection(u,cantor(inverse(v))),universal_class) -> equal(intersection(u,cantor(inverse(v))),identity_relation) member(apply(choice,intersection(u,cantor(inverse(v)))),range_of(v))*.
% 299.85/300.46  49045[3:Res:47940.0,3692.1] inductive(complement(complement(cantor(inverse(u))))) || well_ordering(v,range_of(u)) -> member(least(v,complement(complement(cantor(inverse(u))))),complement(complement(cantor(inverse(u)))))*.
% 299.85/300.46  46095[3:Res:45849.0,3692.1] inductive(intersection(cantor(inverse(u)),v)) || well_ordering(w,range_of(u)) -> member(least(w,intersection(cantor(inverse(u)),v)),intersection(cantor(inverse(u)),v))*.
% 299.85/300.46  30714[5:Res:5331.2,610.0] || member(intersection(cantor(inverse(u)),v),universal_class) -> equal(intersection(cantor(inverse(u)),v),identity_relation) member(apply(choice,intersection(cantor(inverse(u)),v)),range_of(u))*.
% 299.85/300.46  189760[7:Rew:189431.0,189424.3] || member(u,v) subclass(v,w)* well_ordering(complement(singleton(identity_relation)),w)* -> subclass(singleton(ordered_pair(u,least(complement(singleton(identity_relation)),v))),singleton(identity_relation))*.
% 299.85/300.46  189645[7:Rew:189431.0,179610.1] || member(power_class(complement(singleton(identity_relation))),universal_class) member(apply(choice,power_class(complement(singleton(identity_relation)))),image(element_relation,singleton(identity_relation)))* -> equal(power_class(complement(singleton(identity_relation))),identity_relation).
% 299.85/300.46  191811[15:SpL:191728.0,60.0] || member(u,image(v,image(w,identity_relation))) member(ordered_pair(range_of(identity_relation),u),cross_product(universal_class,universal_class)) -> member(ordered_pair(range_of(identity_relation),u),compose(v,w))*.
% 299.85/300.46  193590[7:Res:193579.0,5215.0] || well_ordering(u,singleton(identity_relation)) -> equal(singleton(apply(choice,singleton(identity_relation))),identity_relation) member(least(u,singleton(apply(choice,singleton(identity_relation)))),singleton(apply(choice,singleton(identity_relation))))*.
% 299.85/300.46  198162[7:Res:189491.0,5490.0] || subclass(complement(singleton(identity_relation)),u)* well_ordering(omega,u) -> subclass(singleton(v),singleton(identity_relation)) equal(integer_of(ordered_pair(v,least(omega,complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.46  198571[12:SpL:191620.1,3524.1] || member(u,universal_class) member(ordered_pair(sum_class(range_of(u)),v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* -> member(v,y)*.
% 299.85/300.46  198595[5:Res:106230.1,5490.0] || subclass(sum_class(singleton(u)),v)* well_ordering(omega,v) -> equal(sum_class(singleton(u)),identity_relation) equal(integer_of(ordered_pair(u,least(omega,sum_class(singleton(u))))),identity_relation)**.
% 299.85/300.46  199090[5:Rew:177107.1,199083.4] || equal(range_of(u),universal_class) member(v,w) subclass(w,x)* well_ordering(identity_relation,x)* -> member(ordered_pair(v,least(identity_relation,w)),range_of(u))*.
% 299.85/300.46  199091[5:Rew:177451.1,199082.4] || equal(sum_class(u),universal_class) member(v,w) subclass(w,x)* well_ordering(identity_relation,x)* -> member(ordered_pair(v,least(identity_relation,w)),sum_class(u))*.
% 299.85/300.46  199092[5:Rew:177102.1,199081.4] || equal(power_class(u),universal_class) member(v,w) subclass(w,x)* well_ordering(identity_relation,x)* -> member(ordered_pair(v,least(identity_relation,w)),power_class(u))*.
% 299.85/300.46  199094[5:Rew:177104.1,199071.4] || equal(inverse(u),universal_class) member(v,w) subclass(w,x)* well_ordering(identity_relation,x)* -> member(ordered_pair(v,least(identity_relation,w)),inverse(u))*.
% 299.85/300.46  199095[5:Rew:177103.1,199066.4] || equal(complement(u),universal_class) member(v,w) subclass(w,x)* well_ordering(identity_relation,x)* -> member(ordered_pair(v,least(identity_relation,w)),complement(u))*.
% 299.85/300.46  200837[5:SpL:200704.1,3524.1] || equal(u,universal_class) member(ordered_pair(u,v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* -> inductive(u) member(v,y)*.
% 299.85/300.46  204064[5:Res:203246.1,60.0] || equal(complement(image(u,image(v,singleton(w)))),identity_relation)** member(ordered_pair(w,identity_relation),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,identity_relation),compose(u,v)).
% 299.85/300.46  204135[5:Res:203247.1,60.0] || equal(complement(image(u,image(v,singleton(w)))),identity_relation)** member(ordered_pair(w,omega),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,omega),compose(u,v)).
% 299.85/300.46  204366[5:Res:4107.3,203257.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x)* equal(flip(x),identity_relation) -> .
% 299.85/300.46  204365[5:Res:4116.3,203257.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x)* equal(rotate(x),identity_relation) -> .
% 299.85/300.46  204781[5:Res:4107.3,204710.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x)* subclass(flip(x),identity_relation) -> .
% 299.85/300.46  204780[5:Res:4116.3,204710.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x)* subclass(rotate(x),identity_relation) -> .
% 299.85/300.46  209016[15:Rew:208959.1,124978.2] function(cross_product(u,universal_class)) || subclass(image(universal_class,u),domain_of(domain_of(v)))* equal(domain_of(domain_of(w)),universal_class) -> compatible(cross_product(u,universal_class),w,v)*.
% 299.85/300.46  209064[15:Rew:208959.1,205682.3] function(u) || equal(rest_of(range_of(v)),identity_relation) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.85/300.46  209067[15:Rew:208959.1,205579.3] function(u) || equal(cantor(range_of(v)),identity_relation) subclass(range_of(u),identity_relation) equal(domain_of(domain_of(w)),universal_class) -> compatible(u,w,inverse(v))*.
% 299.85/300.46  209089[15:Rew:208959.1,160735.2] function(u) || subclass(range_of(u),domain_of(segment(universal_class,v,w)))* equal(domain_of(domain_of(x)),universal_class) -> compatible(u,x,cross_product(v,singleton(w)))*.
% 299.85/300.46  209090[15:Rew:208959.1,34961.2] function(u) || subclass(range_of(u),domain_of(image(v,w))) equal(domain_of(domain_of(x)),universal_class) -> compatible(u,x,inverse(restrict(v,w,universal_class)))*.
% 299.85/300.46  210561[17:Rew:210378.1,210510.2] one_to_one(u) || member(ordered_pair(inverse(u),not_subclass_element(v,image(w,image(x,identity_relation)))),compose(w,x))* -> subclass(v,image(w,image(x,identity_relation))).
% 299.85/300.46  210973[17:Res:210402.1,5490.0] one_to_one(u) || subclass(ordered_pair(inverse(u),v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(identity_relation,least(omega,ordered_pair(inverse(u),v)))),identity_relation)**.
% 299.85/300.46  39777[5:Rew:5309.0,39770.1,5309.0,39770.0] || member(ordered_pair(u,not_subclass_element(range_of(identity_relation),v)),cross_product(universal_class,universal_class)) -> subclass(range_of(identity_relation),v) member(ordered_pair(u,not_subclass_element(range_of(identity_relation),v)),compose(identity_relation,w))*.
% 299.85/300.46  183444[5:Res:165860.0,5490.0] || subclass(complement(inverse(identity_relation)),u)* well_ordering(omega,u) -> subclass(singleton(v),symmetrization_of(identity_relation)) equal(integer_of(ordered_pair(v,least(omega,complement(inverse(identity_relation))))),identity_relation)**.
% 299.85/300.46  179611[5:Rew:122494.0,179579.2,122494.0,179579.0] || member(power_class(complement(inverse(identity_relation))),universal_class) member(apply(choice,power_class(complement(inverse(identity_relation)))),image(element_relation,symmetrization_of(identity_relation)))* -> equal(power_class(complement(inverse(identity_relation))),identity_relation).
% 299.85/300.46  180199[5:Res:165860.0,128.3] || member(u,v) subclass(v,w)* well_ordering(complement(inverse(identity_relation)),w)* -> subclass(singleton(ordered_pair(u,least(complement(inverse(identity_relation)),v))),symmetrization_of(identity_relation))*.
% 299.85/300.46  213914[17:Res:195387.1,35.1] || subclass(domain_relation,rotate(cross_product(cross_product(universal_class,universal_class),universal_class))) member(ordered_pair(ordered_pair(identity_relation,u),v),w) -> member(ordered_pair(ordered_pair(v,identity_relation),u),rotate(w))*.
% 299.85/300.46  213913[17:Res:195387.1,38.1] || subclass(domain_relation,rotate(cross_product(cross_product(universal_class,universal_class),universal_class))) member(ordered_pair(ordered_pair(identity_relation,u),v),w) -> member(ordered_pair(ordered_pair(u,identity_relation),v),flip(w))*.
% 299.85/300.46  213883[17:Res:195387.1,1043.0] || subclass(domain_relation,rotate(ordered_pair(u,v)))* -> equal(ordered_pair(ordered_pair(w,identity_relation),x),unordered_pair(u,singleton(v)))* equal(ordered_pair(ordered_pair(w,identity_relation),x),singleton(u)).
% 299.85/300.46  213851[17:Res:195387.1,5490.0] || subclass(domain_relation,rotate(u)) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(ordered_pair(w,identity_relation),x),least(omega,u))),identity_relation)**.
% 299.85/300.46  214010[17:Res:195388.1,35.1] || subclass(domain_relation,flip(cross_product(cross_product(universal_class,universal_class),universal_class))) member(ordered_pair(ordered_pair(u,identity_relation),v),w) -> member(ordered_pair(ordered_pair(v,u),identity_relation),rotate(w))*.
% 299.85/300.46  214009[17:Res:195388.1,38.1] || subclass(domain_relation,flip(cross_product(cross_product(universal_class,universal_class),universal_class))) member(ordered_pair(ordered_pair(u,v),identity_relation),w) -> member(ordered_pair(ordered_pair(v,u),identity_relation),flip(w))*.
% 299.85/300.46  213985[17:Res:195388.1,1043.0] || subclass(domain_relation,flip(ordered_pair(u,v)))* -> equal(ordered_pair(ordered_pair(w,x),identity_relation),unordered_pair(u,singleton(v)))* equal(ordered_pair(ordered_pair(w,x),identity_relation),singleton(u)).
% 299.85/300.46  213953[17:Res:195388.1,5490.0] || subclass(domain_relation,flip(u)) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(ordered_pair(w,x),identity_relation),least(omega,u))),identity_relation)**.
% 299.85/300.46  213941[17:SpR:5337.2,195388.1] || member(cross_product(u,v),universal_class) subclass(domain_relation,flip(w)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(apply(choice,cross_product(u,v)),identity_relation),w)*.
% 299.85/300.46  214238[5:Res:29726.0,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(complement(complement(u)),w) equal(integer_of(ordered_pair(not_subclass_element(complement(complement(u)),w),least(omega,u))),identity_relation)**.
% 299.85/300.46  214922[5:Res:28041.2,5490.0] inductive(u) || well_ordering(v,universal_class) subclass(u,w)* well_ordering(omega,w)* -> equal(integer_of(ordered_pair(least(v,u),least(omega,u))),identity_relation)**.
% 299.85/300.46  215052[5:Res:783.1,5490.0] || subclass(ordered_pair(u,v),w) subclass(w,x)* well_ordering(omega,x)* -> equal(integer_of(ordered_pair(unordered_pair(u,singleton(v)),least(omega,w))),identity_relation)**.
% 299.85/300.46  215374[5:Res:5403.2,5490.0] || well_ordering(u,v) subclass(v,w)* well_ordering(omega,w)* -> equal(v,identity_relation) equal(integer_of(ordered_pair(least(u,v),least(omega,v))),identity_relation)**.
% 299.85/300.46  215476[5:Res:28061.2,5490.0] inductive(u) || well_ordering(v,u) subclass(u,w)* well_ordering(omega,w)* -> equal(integer_of(ordered_pair(least(v,u),least(omega,u))),identity_relation)**.
% 299.85/300.46  217757[5:SpL:122711.0,2599.1] || member(u,union(complement(v),union(w,identity_relation))) member(u,union(v,symmetric_difference(universal_class,w))) -> member(u,symmetric_difference(complement(v),union(w,identity_relation)))*.
% 299.85/300.46  218355[5:SpL:122708.0,2599.1] || member(u,union(union(v,identity_relation),complement(w))) member(u,union(symmetric_difference(universal_class,v),w)) -> member(u,symmetric_difference(union(v,identity_relation),complement(w)))*.
% 299.85/300.46  220390[5:Res:220369.1,2612.0] || member(not_subclass_element(u,intersection(v,symmetrization_of(identity_relation))),inverse(identity_relation))* member(not_subclass_element(u,intersection(v,symmetrization_of(identity_relation))),v)* -> subclass(u,intersection(v,symmetrization_of(identity_relation))).
% 299.85/300.46  221337[5:SpR:580.0,5586.1] ||  -> equal(symmetric_difference(intersection(complement(u),complement(v)),w),identity_relation) member(regular(symmetric_difference(intersection(complement(u),complement(v)),w)),complement(intersection(union(u,v),complement(w))))*.
% 299.85/300.46  221328[5:SpR:581.0,5586.1] ||  -> equal(symmetric_difference(u,intersection(complement(v),complement(w))),identity_relation) member(regular(symmetric_difference(u,intersection(complement(v),complement(w)))),complement(intersection(complement(u),union(v,w))))*.
% 299.85/300.46  224451[5:Rew:122711.0,224423.2] || subclass(omega,intersection(complement(u),union(v,identity_relation)))* -> equal(integer_of(regular(union(u,symmetric_difference(universal_class,v)))),identity_relation) equal(union(u,symmetric_difference(universal_class,v)),identity_relation).
% 299.85/300.46  224452[5:Rew:122708.0,224421.2] || subclass(omega,intersection(union(u,identity_relation),complement(v)))* -> equal(integer_of(regular(union(symmetric_difference(universal_class,u),v))),identity_relation) equal(union(symmetric_difference(universal_class,u),v),identity_relation).
% 299.85/300.46  225900[5:Res:943.1,29630.0] || member(apply(choice,regular(complement(intersection(u,v)))),symmetric_difference(u,v))* -> equal(regular(complement(intersection(u,v))),identity_relation) equal(complement(intersection(u,v)),identity_relation).
% 299.85/300.46  225950[5:MRR:225924.2,204401.1] || member(ordered_pair(u,apply(choice,regular(image(v,image(w,singleton(u)))))),compose(v,w))* -> equal(regular(image(v,image(w,singleton(u)))),identity_relation).
% 299.85/300.46  227332[5:Res:227239.0,3704.1] || member(u,universal_class) well_ordering(v,complement(intersection(sum_class(w),universal_class))) -> member(u,sum_class(w))* member(least(v,complement(sum_class(w))),complement(sum_class(w)))*.
% 299.85/300.46  227365[5:Res:227240.0,3704.1] || member(u,universal_class) well_ordering(v,complement(intersection(inverse(w),universal_class))) -> member(u,inverse(w))* member(least(v,complement(inverse(w))),complement(inverse(w)))*.
% 299.85/300.46  227409[9:Res:227368.0,126.0] || subclass(complement(intersection(inverse(identity_relation),universal_class)),u)* well_ordering(v,u)* -> member(least(v,complement(intersection(inverse(identity_relation),universal_class))),complement(intersection(inverse(identity_relation),universal_class)))*.
% 299.85/300.46  227597[5:Rew:122711.0,227462.1] || member(regular(intersection(union(u,symmetric_difference(universal_class,v)),w)),intersection(complement(u),union(v,identity_relation)))* -> equal(intersection(union(u,symmetric_difference(universal_class,v)),w),identity_relation).
% 299.85/300.46  227598[5:Rew:122708.0,227460.1] || member(regular(intersection(union(symmetric_difference(universal_class,u),v),w)),intersection(union(u,identity_relation),complement(v)))* -> equal(intersection(union(symmetric_difference(universal_class,u),v),w),identity_relation).
% 299.85/300.46  228301[5:Rew:122711.0,227891.1] || member(regular(intersection(u,union(v,symmetric_difference(universal_class,w)))),intersection(complement(v),union(w,identity_relation)))* -> equal(intersection(u,union(v,symmetric_difference(universal_class,w))),identity_relation).
% 299.85/300.46  228302[5:Rew:122708.0,227889.1] || member(regular(intersection(u,union(symmetric_difference(universal_class,v),w))),intersection(union(v,identity_relation),complement(w)))* -> equal(intersection(u,union(symmetric_difference(universal_class,v),w)),identity_relation).
% 299.85/300.46  229745[5:SpR:931.0,5585.1] ||  -> equal(symmetric_difference(complement(intersection(u,inverse(u))),symmetrization_of(u)),identity_relation) member(regular(symmetric_difference(complement(intersection(u,inverse(u))),symmetrization_of(u))),complement(symmetric_difference(u,inverse(u))))*.
% 299.85/300.46  229744[5:SpR:932.0,5585.1] ||  -> equal(symmetric_difference(complement(intersection(u,singleton(u))),successor(u)),identity_relation) member(regular(symmetric_difference(complement(intersection(u,singleton(u))),successor(u))),complement(symmetric_difference(u,singleton(u))))*.
% 299.85/300.46  230083[5:Res:943.1,8083.0] || member(not_subclass_element(regular(complement(intersection(u,v))),w),symmetric_difference(u,v))* -> subclass(regular(complement(intersection(u,v))),w) equal(complement(intersection(u,v)),identity_relation).
% 299.85/300.46  230146[5:MRR:230108.2,204401.1] || member(ordered_pair(u,not_subclass_element(regular(image(v,image(w,singleton(u)))),x)),compose(v,w))* -> subclass(regular(image(v,image(w,singleton(u)))),x).
% 299.85/300.46  230317[0:Res:2603.2,8431.1] || member(not_subclass_element(u,v),cross_product(w,x))* member(not_subclass_element(u,v),y)* subclass(u,complement(restrict(y,w,x)))* -> subclass(u,v).
% 299.85/300.46  232326[0:Res:601.1,588.0] || member(not_subclass_element(restrict(intersection(complement(u),complement(v)),w,x),y),union(u,v))* -> subclass(restrict(intersection(complement(u),complement(v)),w,x),y).
% 299.85/300.46  233504[15:SpR:233410.0,209013.3] function(u) || subclass(range_of(u),domain_of(segment(v,w,universal_class)))* equal(domain_of(domain_of(x)),universal_class) -> compatible(u,x,restrict(v,w,identity_relation))*.
% 299.85/300.46  234740[15:Res:233423.0,126.0] || subclass(complement(singleton(singleton(singleton(identity_relation)))),u)* well_ordering(v,u)* -> member(least(v,complement(singleton(singleton(singleton(identity_relation))))),complement(singleton(singleton(singleton(identity_relation)))))*.
% 299.85/300.46  234739[15:Res:233423.0,5490.0] || subclass(complement(singleton(singleton(singleton(identity_relation)))),u)* well_ordering(omega,u) -> equal(integer_of(ordered_pair(singleton(identity_relation),least(omega,complement(singleton(singleton(singleton(identity_relation))))))),identity_relation)**.
% 299.85/300.46  234967[5:MRR:234905.0,641.0] || member(u,v) subclass(v,w)* well_ordering(domain_of(x),w)* -> equal(apply(x,ordered_pair(u,least(domain_of(x),v))),sum_class(range_of(identity_relation)))**.
% 299.85/300.46  235502[5:Res:233421.0,126.0] || subclass(complement(singleton(ordered_pair(u,v))),w)* well_ordering(x,w)* -> member(least(x,complement(singleton(ordered_pair(u,v)))),complement(singleton(ordered_pair(u,v))))*.
% 299.85/300.46  235501[5:Res:233421.0,5490.0] || subclass(complement(singleton(ordered_pair(u,v))),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(singleton(u),least(omega,complement(singleton(ordered_pair(u,v)))))),identity_relation)**.
% 299.85/300.46  235959[5:Res:5462.2,8058.1] || subclass(omega,symmetric_difference(u,v)) well_ordering(w,universal_class) -> equal(integer_of(least(w,complement(union(u,v)))),identity_relation)** equal(complement(union(u,v)),identity_relation).
% 299.85/300.46  235952[5:Res:5462.2,8090.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(regular(regular(union(u,v)))),identity_relation)** equal(regular(union(u,v)),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.46  236475[5:Res:5462.2,8214.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(not_subclass_element(intersection(w,complement(union(u,v))),x)),identity_relation)** subclass(intersection(w,complement(union(u,v))),x).
% 299.85/300.46  236861[5:Res:5462.2,8308.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(not_subclass_element(intersection(complement(union(u,v)),w),x)),identity_relation)** subclass(intersection(complement(union(u,v)),w),x).
% 299.85/300.46  236938[0:Rew:930.0,236817.1] || member(not_subclass_element(symmetric_difference(complement(intersection(u,v)),union(u,v)),w),symmetric_difference(u,v))* -> subclass(symmetric_difference(complement(intersection(u,v)),union(u,v)),w).
% 299.85/300.46  237345[5:Res:5580.1,8157.0] ||  -> equal(intersection(u,intersection(v,symmetric_difference(complement(w),complement(x)))),identity_relation) member(regular(intersection(u,intersection(v,symmetric_difference(complement(w),complement(x))))),union(w,x))*.
% 299.85/300.46  237938[5:Res:5581.1,8157.0] ||  -> equal(intersection(u,intersection(symmetric_difference(complement(v),complement(w)),x)),identity_relation) member(regular(intersection(u,intersection(symmetric_difference(complement(v),complement(w)),x))),union(v,w))*.
% 299.85/300.46  238734[5:Res:5605.1,8157.0] ||  -> equal(intersection(intersection(u,symmetric_difference(complement(v),complement(w))),x),identity_relation) member(regular(intersection(intersection(u,symmetric_difference(complement(v),complement(w))),x)),union(v,w))*.
% 299.85/300.46  239528[5:Res:5606.1,8157.0] ||  -> equal(intersection(intersection(symmetric_difference(complement(u),complement(v)),w),x),identity_relation) member(regular(intersection(intersection(symmetric_difference(complement(u),complement(v)),w),x)),union(u,v))*.
% 299.85/300.46  241543[5:Res:3389.1,5316.0] || member(image(u,singleton(v)),universal_class)* subclass(image(u,singleton(v)),w) -> equal(apply(u,v),identity_relation) member(regular(apply(u,v)),w)*.
% 299.85/300.46  242040[5:Res:5343.1,8150.0] ||  -> equal(restrict(symmetric_difference(cross_product(u,v),w),x,y),identity_relation) member(regular(restrict(symmetric_difference(cross_product(u,v),w),x,y)),complement(restrict(w,u,v)))*.
% 299.85/300.46  242106[5:SpL:227625.0,3757.1] || member(u,domain_of(complement(cross_product(u,universal_class))))* equal(identity_relation,v) subclass(rest_of(complement(cross_product(u,universal_class))),w)* -> member(ordered_pair(u,v),w)*.
% 299.85/300.46  242181[16:MRR:242180.1,203206.0] || member(ordered_pair(u,regular(range_of(identity_relation))),cross_product(universal_class,universal_class)) -> member(ordered_pair(u,regular(range_of(identity_relation))),compose(complement(cross_product(image(v,singleton(u)),universal_class)),v))*.
% 299.85/300.46  242312[5:Res:5343.1,8147.0] ||  -> equal(restrict(symmetric_difference(u,cross_product(v,w)),x,y),identity_relation) member(regular(restrict(symmetric_difference(u,cross_product(v,w)),x,y)),complement(restrict(u,v,w)))*.
% 299.85/300.46  242460[3:Res:28041.2,756.0] inductive(cantor(restrict(u,v,singleton(w)))) || well_ordering(x,universal_class) -> member(least(x,cantor(restrict(u,v,singleton(w)))),segment(u,v,w))*.
% 299.85/300.46  242458[5:Res:5404.2,756.0] || well_ordering(u,universal_class) -> equal(cantor(restrict(v,w,singleton(x))),identity_relation) member(least(u,cantor(restrict(v,w,singleton(x)))),segment(v,w,x))*.
% 299.85/300.46  242455[0:Res:29726.0,756.0] ||  -> subclass(complement(complement(cantor(restrict(u,v,singleton(w))))),x) member(not_subclass_element(complement(complement(cantor(restrict(u,v,singleton(w))))),x),segment(u,v,w))*.
% 299.85/300.46  242416[0:Res:356.1,756.0] ||  -> subclass(intersection(u,cantor(restrict(v,w,singleton(x)))),y) member(not_subclass_element(intersection(u,cantor(restrict(v,w,singleton(x)))),y),segment(v,w,x))*.
% 299.85/300.46  242398[0:Res:366.1,756.0] ||  -> subclass(intersection(cantor(restrict(u,v,singleton(w))),x),y) member(not_subclass_element(intersection(cantor(restrict(u,v,singleton(w))),x),y),segment(u,v,w))*.
% 299.85/300.46  242544[5:SpR:9097.0,26595.1] || member(u,universal_class) -> member(u,segment(cross_product(v,w),x,y)) equal(apply(restrict(cross_product(x,singleton(y)),v,w),u),sum_class(range_of(identity_relation)))**.
% 299.85/300.46  242524[5:SpR:9097.0,146067.0] ||  -> subclass(symmetric_difference(segment(cross_product(u,v),w,x),cantor(restrict(cross_product(w,singleton(x)),u,v))),complement(cantor(restrict(cross_product(w,singleton(x)),u,v))))*.
% 299.85/300.46  242591[0:Rew:9097.0,242576.2] || section(cross_product(u,singleton(v)),w,x) subclass(w,segment(cross_product(x,w),u,v))* -> equal(segment(cross_product(x,w),u,v),w).
% 299.85/300.46  242640[5:Res:5341.1,126.0] || subclass(cross_product(u,v),w)* well_ordering(x,w)* -> equal(restrict(y,u,v),identity_relation)** member(least(x,cross_product(u,v)),cross_product(u,v))*.
% 299.85/300.46  244694[21:Res:28041.2,243787.1] inductive(complement(compose(complement(element_relation),inverse(element_relation)))) || well_ordering(u,universal_class) member(least(u,complement(compose(complement(element_relation),inverse(element_relation)))),cross_product(universal_class,universal_class))* -> .
% 299.85/300.46  244692[21:Res:5404.2,243787.1] || well_ordering(u,universal_class) member(least(u,complement(compose(complement(element_relation),inverse(element_relation)))),cross_product(universal_class,universal_class))* -> equal(complement(compose(complement(element_relation),inverse(element_relation))),identity_relation).
% 299.85/300.46  244689[21:Res:29726.0,243787.1] || member(not_subclass_element(complement(complement(complement(compose(complement(element_relation),inverse(element_relation))))),u),cross_product(universal_class,universal_class))* -> subclass(complement(complement(complement(compose(complement(element_relation),inverse(element_relation))))),u).
% 299.85/300.46  244648[21:Res:356.1,243787.1] || member(not_subclass_element(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),v),cross_product(universal_class,universal_class))* -> subclass(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),v).
% 299.85/300.46  244629[21:Res:366.1,243787.1] || member(not_subclass_element(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),v),cross_product(universal_class,universal_class))* -> subclass(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),v).
% 299.85/300.46  245338[20:Res:244951.0,5215.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),identity_relation) member(least(u,singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation))),singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)))*.
% 299.85/300.46  247910[0:Res:59.1,20349.2] || member(ordered_pair(u,ordered_pair(v,rest_of(v))),compose(w,x))* member(v,universal_class) subclass(rest_relation,complement(image(w,image(x,singleton(u))))) -> .
% 299.85/300.46  247875[0:Res:24.2,20349.2] || member(ordered_pair(u,rest_of(u)),v)* member(ordered_pair(u,rest_of(u)),w)* member(u,universal_class) subclass(rest_relation,complement(intersection(w,v)))* -> .
% 299.85/300.46  247954[0:MRR:247905.0,247905.3,226257.1,641.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(v,u),rest_of(ordered_pair(u,v))),w)* subclass(rest_relation,complement(flip(w))) -> .
% 299.85/300.46  247955[0:MRR:247904.0,247904.3,226257.1,641.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(u,v))),u),w)* subclass(rest_relation,complement(rotate(w))) -> .
% 299.85/300.46  248341[5:SpL:20365.2,5390.0] || member(u,universal_class) subclass(rest_relation,rest_of(inverse(cross_product(u,universal_class))))* equal(restrict(rest_of(u),v,v),identity_relation)** -> asymmetric(cross_product(u,universal_class),v).
% 299.85/300.46  248305[5:SpR:20365.2,5389.1] || member(u,universal_class) subclass(rest_relation,rest_of(inverse(cross_product(u,universal_class))))* asymmetric(cross_product(u,universal_class),v) -> equal(restrict(rest_of(u),v,v),identity_relation)**.
% 299.85/300.46  248375[0:MRR:248358.0,29469.1] || subclass(rest_relation,rest_of(u)) member(v,domain_of(u))* equal(rest_of(v),w) subclass(rest_of(u),x)* -> member(ordered_pair(v,w),x)*.
% 299.85/300.46  248853[5:Obv:248843.2] || subclass(omega,u) member(v,unordered_pair(w,u))* -> equal(regular(unordered_pair(w,u)),w) equal(integer_of(v),identity_relation) equal(unordered_pair(w,u),identity_relation).
% 299.85/300.46  248854[5:Obv:248842.2] || subclass(omega,u) member(v,unordered_pair(u,w))* -> equal(regular(unordered_pair(u,w)),w) equal(integer_of(v),identity_relation) equal(unordered_pair(u,w),identity_relation).
% 299.85/300.46  248940[11:Res:207952.1,120713.0] || equal(identity_relation,u) -> member(regular(complement(power_class(u))),image(universal_class,singleton(regular(complement(power_class(u))))))* asymmetric(cross_product(singleton(regular(complement(power_class(u)))),universal_class),v)*.
% 299.85/300.46  248885[5:Res:66.2,120713.0] function(u) || member(v,universal_class) -> member(image(u,v),image(universal_class,singleton(image(u,v))))* asymmetric(cross_product(singleton(image(u,v)),universal_class),w)*.
% 299.85/300.46  248974[5:MRR:248926.1,5.0] || member(u,universal_class) -> equal(u,identity_relation) member(apply(choice,u),image(universal_class,singleton(apply(choice,u))))* asymmetric(cross_product(singleton(apply(choice,u)),universal_class),v)*.
% 299.85/300.46  249235[0:Rew:249197.0,246636.2] || member(u,universal_class) subclass(union(v,image(element_relation,power_class(w))),x)* -> member(u,intersection(complement(v),power_class(complement(power_class(w)))))* member(u,x)*.
% 299.85/300.46  249245[0:Rew:249197.0,246638.0] || member(u,image(element_relation,power_class(intersection(complement(v),power_class(complement(power_class(w)))))))* member(u,power_class(image(element_relation,union(v,image(element_relation,power_class(w)))))) -> .
% 299.85/300.46  249248[0:Rew:249197.0,246643.2] || equal(u,union(v,image(element_relation,power_class(w))))* member(x,universal_class) -> member(x,intersection(complement(v),power_class(complement(power_class(w)))))* member(x,u)*.
% 299.85/300.46  249272[0:Rew:249197.0,35408.3] || member(u,universal_class) subclass(power_class(v),w)* well_ordering(x,w)* -> member(u,complement(power_class(v)))* member(least(x,power_class(v)),power_class(v))*.
% 299.85/300.46  249377[0:Rew:249197.0,246406.0] ||  -> subclass(symmetric_difference(union(u,image(element_relation,power_class(v))),complement(inverse(intersection(complement(u),power_class(complement(power_class(v))))))),symmetrization_of(intersection(complement(u),power_class(complement(power_class(v))))))*.
% 299.85/300.46  249381[0:Rew:249197.0,246389.0] ||  -> subclass(symmetric_difference(union(u,image(element_relation,power_class(v))),complement(singleton(intersection(complement(u),power_class(complement(power_class(v))))))),successor(intersection(complement(u),power_class(complement(power_class(v))))))*.
% 299.85/300.46  249387[0:Rew:249197.0,246759.0] || member(not_subclass_element(union(u,image(element_relation,power_class(v))),w),intersection(complement(u),power_class(complement(power_class(v)))))* -> subclass(union(u,image(element_relation,power_class(v))),w).
% 299.85/300.46  249388[5:Rew:249197.0,246760.0] ||  -> member(regular(complement(union(u,image(element_relation,power_class(v))))),intersection(complement(u),power_class(complement(power_class(v)))))* equal(complement(union(u,image(element_relation,power_class(v)))),identity_relation).
% 299.85/300.46  249410[0:Rew:249197.0,246210.2] || member(u,universal_class) subclass(union(image(element_relation,power_class(v)),w),x)* -> member(u,intersection(power_class(complement(power_class(v))),complement(w)))* member(u,x)*.
% 299.85/300.46  249420[0:Rew:249197.0,246212.0] || member(u,image(element_relation,power_class(intersection(power_class(complement(power_class(v))),complement(w)))))* member(u,power_class(image(element_relation,union(image(element_relation,power_class(v)),w)))) -> .
% 299.85/300.46  249423[0:Rew:249197.0,246217.2] || equal(u,union(image(element_relation,power_class(v)),w))* member(x,universal_class) -> member(x,intersection(power_class(complement(power_class(v))),complement(w)))* member(x,u)*.
% 299.85/300.46  249751[0:Rew:249197.0,245981.0] ||  -> subclass(symmetric_difference(union(image(element_relation,power_class(u)),v),complement(inverse(intersection(power_class(complement(power_class(u))),complement(v))))),symmetrization_of(intersection(power_class(complement(power_class(u))),complement(v))))*.
% 299.85/300.46  249755[0:Rew:249197.0,245964.0] ||  -> subclass(symmetric_difference(union(image(element_relation,power_class(u)),v),complement(singleton(intersection(power_class(complement(power_class(u))),complement(v))))),successor(intersection(power_class(complement(power_class(u))),complement(v))))*.
% 299.85/300.46  249761[0:Rew:249197.0,246330.0] || member(not_subclass_element(union(image(element_relation,power_class(u)),v),w),intersection(power_class(complement(power_class(u))),complement(v)))* -> subclass(union(image(element_relation,power_class(u)),v),w).
% 299.85/300.46  249762[5:Rew:249197.0,246331.0] ||  -> member(regular(complement(union(image(element_relation,power_class(u)),v))),intersection(power_class(complement(power_class(u))),complement(v)))* equal(complement(union(image(element_relation,power_class(u)),v)),identity_relation).
% 299.85/300.46  250052[0:Rew:249197.0,244972.0] ||  -> subclass(symmetric_difference(symmetrization_of(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))),symmetrization_of(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))*.
% 299.85/300.46  250056[0:Rew:249197.0,244955.0] ||  -> subclass(symmetric_difference(symmetrization_of(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))),successor(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))*.
% 299.85/300.46  250177[0:Rew:249197.0,245385.0] ||  -> subclass(symmetric_difference(successor(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))),symmetrization_of(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))*.
% 299.85/300.46  250181[0:Rew:249197.0,245368.0] ||  -> subclass(symmetric_difference(successor(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))),successor(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))*.
% 299.85/300.46  251133[0:Rew:249200.0,249246.0] ||  -> equal(union(u,image(element_relation,power_class(intersection(complement(v),power_class(complement(power_class(w))))))),union(u,complement(power_class(image(element_relation,union(v,image(element_relation,power_class(w))))))))**.
% 299.85/300.46  251134[5:Rew:249197.0,249257.1] || member(regular(intersection(u,intersection(v,power_class(complement(power_class(w)))))),image(element_relation,power_class(w)))* -> equal(intersection(u,intersection(v,power_class(complement(power_class(w))))),identity_relation).
% 299.85/300.46  251135[0:Rew:249197.0,249284.1] ||  -> subclass(symmetric_difference(complement(u),power_class(complement(power_class(v)))),w) member(not_subclass_element(symmetric_difference(complement(u),power_class(complement(power_class(v)))),w),union(u,image(element_relation,power_class(v))))*.
% 299.85/300.46  251136[0:Rew:249208.0,249330.0] ||  -> equal(union(image(element_relation,power_class(intersection(complement(u),power_class(complement(power_class(v)))))),w),union(complement(power_class(image(element_relation,union(u,image(element_relation,power_class(v)))))),w))**.
% 299.85/300.46  251137[0:Rew:249200.0,249421.0] ||  -> equal(union(u,image(element_relation,power_class(intersection(power_class(complement(power_class(v))),complement(w))))),union(u,complement(power_class(image(element_relation,union(image(element_relation,power_class(v)),w))))))**.
% 299.85/300.46  251138[5:Rew:249197.0,249440.1] || member(regular(intersection(intersection(u,power_class(complement(power_class(v)))),w)),image(element_relation,power_class(v)))* -> equal(intersection(intersection(u,power_class(complement(power_class(v)))),w),identity_relation).
% 299.85/300.46  251139[5:Rew:249197.0,249449.1] || member(regular(intersection(u,intersection(power_class(complement(power_class(v))),w))),image(element_relation,power_class(v)))* -> equal(intersection(u,intersection(power_class(complement(power_class(v))),w)),identity_relation).
% 299.85/300.46  251140[5:Rew:249197.0,249507.1] || member(regular(intersection(u,symmetrization_of(complement(power_class(v))))),intersection(power_class(v),complement(inverse(complement(power_class(v))))))* -> equal(intersection(u,symmetrization_of(complement(power_class(v)))),identity_relation).
% 299.85/300.46  251141[5:Rew:249197.0,249523.1] || member(regular(intersection(u,successor(complement(power_class(v))))),intersection(power_class(v),complement(singleton(complement(power_class(v))))))* -> equal(intersection(u,successor(complement(power_class(v)))),identity_relation).
% 299.85/300.46  251142[0:Rew:249197.0,249654.1] ||  -> subclass(symmetric_difference(power_class(complement(power_class(u))),complement(v)),w) member(not_subclass_element(symmetric_difference(power_class(complement(power_class(u))),complement(v)),w),union(image(element_relation,power_class(u)),v))*.
% 299.85/300.46  251143[0:Rew:249208.0,249704.0] ||  -> equal(union(image(element_relation,power_class(intersection(power_class(complement(power_class(u))),complement(v)))),w),union(complement(power_class(image(element_relation,union(image(element_relation,power_class(u)),v)))),w))**.
% 299.85/300.46  251144[5:Rew:249197.0,249826.1] || member(regular(intersection(intersection(power_class(complement(power_class(u))),v),w)),image(element_relation,power_class(u)))* -> equal(intersection(intersection(power_class(complement(power_class(u))),v),w),identity_relation).
% 299.85/300.46  251154[5:Rew:249197.0,249445.2,249197.0,249445.0] || well_ordering(u,power_class(complement(power_class(v)))) member(least(u,power_class(complement(power_class(v)))),image(element_relation,power_class(v)))* -> equal(power_class(complement(power_class(v))),identity_relation).
% 299.85/300.46  251160[5:Rew:249197.0,249782.1,249197.0,249782.0] || member(power_class(complement(power_class(u))),universal_class) member(apply(choice,power_class(complement(power_class(u)))),image(element_relation,power_class(u)))* -> equal(power_class(complement(power_class(u))),identity_relation).
% 299.85/300.46  251162[5:Rew:249197.0,249962.1,249197.0,249962.0] || subclass(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> equal(integer_of(regular(symmetrization_of(complement(power_class(u))))),identity_relation) equal(symmetrization_of(complement(power_class(u))),identity_relation).
% 299.85/300.46  251163[5:Rew:249197.0,250029.0] || member(regular(intersection(symmetrization_of(complement(power_class(u))),v)),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> equal(intersection(symmetrization_of(complement(power_class(u))),v),identity_relation).
% 299.85/300.46  251164[0:Rew:249197.0,250033.1] ||  -> subclass(symmetric_difference(power_class(u),complement(inverse(complement(power_class(u))))),v) member(not_subclass_element(symmetric_difference(power_class(u),complement(inverse(complement(power_class(u))))),v),symmetrization_of(complement(power_class(u))))*.
% 299.85/300.46  251165[5:Rew:249197.0,250089.1,249197.0,250089.0] || subclass(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> equal(integer_of(regular(successor(complement(power_class(u))))),identity_relation) equal(successor(complement(power_class(u))),identity_relation).
% 299.85/300.46  251166[5:Rew:249197.0,250154.0] || member(regular(intersection(successor(complement(power_class(u))),v)),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> equal(intersection(successor(complement(power_class(u))),v),identity_relation).
% 299.85/300.46  251167[0:Rew:249197.0,250158.1] ||  -> subclass(symmetric_difference(power_class(u),complement(singleton(complement(power_class(u))))),v) member(not_subclass_element(symmetric_difference(power_class(u),complement(singleton(complement(power_class(u))))),v),successor(complement(power_class(u))))*.
% 299.85/300.46  252591[5:Rew:251767.0,251811.3] || subclass(complement(power_class(universal_class)),u)* well_ordering(omega,u) -> subclass(singleton(v),power_class(universal_class)) equal(integer_of(ordered_pair(v,least(omega,complement(power_class(universal_class))))),identity_relation)**.
% 299.85/300.46  252592[5:Rew:251767.0,251920.3] || member(u,v) subclass(v,w)* well_ordering(complement(power_class(universal_class)),w)* -> subclass(singleton(ordered_pair(u,least(complement(power_class(universal_class)),v))),power_class(universal_class))*.
% 299.85/300.46  252596[5:Rew:251768.0,251993.3] || subclass(complement(power_class(identity_relation)),u)* well_ordering(omega,u) -> subclass(singleton(v),power_class(identity_relation)) equal(integer_of(ordered_pair(v,least(omega,complement(power_class(identity_relation))))),identity_relation)**.
% 299.85/300.46  252597[5:Rew:251768.0,252117.3] || member(u,v) subclass(v,w)* well_ordering(complement(power_class(identity_relation)),w)* -> subclass(singleton(ordered_pair(u,least(complement(power_class(identity_relation)),v))),power_class(identity_relation))*.
% 299.85/300.46  252208[7:Rew:251758.0,189642.2] inductive(complement(power_class(complement(singleton(identity_relation))))) || well_ordering(u,image(element_relation,singleton(identity_relation))) -> member(least(u,image(element_relation,singleton(identity_relation))),image(element_relation,singleton(identity_relation)))*.
% 299.85/300.46  252248[5:Rew:251759.0,179099.2] inductive(complement(power_class(complement(inverse(identity_relation))))) || well_ordering(u,image(element_relation,symmetrization_of(identity_relation))) -> member(least(u,image(element_relation,symmetrization_of(identity_relation))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.85/300.46  252608[5:Rew:251760.0,251820.2] inductive(complement(power_class(image(element_relation,identity_relation)))) || well_ordering(u,image(element_relation,power_class(universal_class))) -> member(least(u,image(element_relation,power_class(universal_class))),image(element_relation,power_class(universal_class)))*.
% 299.85/300.46  252610[5:Rew:251760.0,252006.2] inductive(complement(power_class(image(element_relation,universal_class)))) || well_ordering(u,image(element_relation,power_class(identity_relation))) -> member(least(u,image(element_relation,power_class(identity_relation))),image(element_relation,power_class(identity_relation)))*.
% 299.85/300.46  252699[0:SpR:249200.0,941.0] ||  -> equal(intersection(union(u,intersection(complement(v),power_class(w))),union(complement(u),union(v,complement(power_class(w))))),symmetric_difference(complement(u),union(v,complement(power_class(w)))))**.
% 299.85/300.46  252644[0:SpR:249200.0,941.0] ||  -> equal(intersection(union(intersection(complement(u),power_class(v)),w),union(union(u,complement(power_class(v))),complement(w))),symmetric_difference(union(u,complement(power_class(v))),complement(w)))**.
% 299.85/300.46  252931[5:Rew:249200.0,252843.2] || well_ordering(u,universal_class) member(least(u,union(v,complement(power_class(w)))),intersection(complement(v),power_class(w)))* -> equal(union(v,complement(power_class(w))),identity_relation).
% 299.85/300.46  252932[0:Rew:249200.0,252842.1] || member(not_subclass_element(intersection(u,union(v,complement(power_class(w)))),x),intersection(complement(v),power_class(w)))* -> subclass(intersection(u,union(v,complement(power_class(w)))),x).
% 299.85/300.46  252933[0:Rew:249200.0,252832.1] || member(not_subclass_element(intersection(union(u,complement(power_class(v))),w),x),intersection(complement(u),power_class(v)))* -> subclass(intersection(union(u,complement(power_class(v))),w),x).
% 299.85/300.46  252934[5:Rew:249200.0,252660.2] || subclass(omega,intersection(complement(u),power_class(v))) -> equal(integer_of(not_subclass_element(union(u,complement(power_class(v))),w)),identity_relation)** subclass(union(u,complement(power_class(v))),w).
% 299.85/300.46  253029[0:SpR:249208.0,941.0] ||  -> equal(intersection(union(u,intersection(power_class(v),complement(w))),union(complement(u),union(complement(power_class(v)),w))),symmetric_difference(complement(u),union(complement(power_class(v)),w)))**.
% 299.85/300.46  252974[0:SpR:249208.0,941.0] ||  -> equal(intersection(union(intersection(power_class(u),complement(v)),w),union(union(complement(power_class(u)),v),complement(w))),symmetric_difference(union(complement(power_class(u)),v),complement(w)))**.
% 299.85/300.46  253263[5:Rew:249208.0,253176.2] || well_ordering(u,universal_class) member(least(u,union(complement(power_class(v)),w)),intersection(power_class(v),complement(w)))* -> equal(union(complement(power_class(v)),w),identity_relation).
% 299.85/300.46  253264[0:Rew:249208.0,253175.1] || member(not_subclass_element(intersection(u,union(complement(power_class(v)),w)),x),intersection(power_class(v),complement(w)))* -> subclass(intersection(u,union(complement(power_class(v)),w)),x).
% 299.85/300.46  253265[0:Rew:249208.0,253165.1] || member(not_subclass_element(intersection(union(complement(power_class(u)),v),w),x),intersection(power_class(u),complement(v)))* -> subclass(intersection(union(complement(power_class(u)),v),w),x).
% 299.85/300.46  253266[5:Rew:249208.0,252990.2] || subclass(omega,intersection(power_class(u),complement(v))) -> equal(integer_of(not_subclass_element(union(complement(power_class(u)),v),w)),identity_relation)** subclass(union(complement(power_class(u)),v),w).
% 299.85/300.46  253488[3:Res:28061.2,249201.0] inductive(image(element_relation,power_class(u))) || well_ordering(v,image(element_relation,power_class(u))) member(least(v,image(element_relation,power_class(u))),power_class(complement(power_class(u))))* -> .
% 299.85/300.46  253486[5:Res:5403.2,249201.0] || well_ordering(u,image(element_relation,power_class(v))) member(least(u,image(element_relation,power_class(v))),power_class(complement(power_class(v))))* -> equal(image(element_relation,power_class(v)),identity_relation).
% 299.85/300.46  253475[5:Res:5606.1,249201.0] || member(regular(intersection(intersection(image(element_relation,power_class(u)),v),w)),power_class(complement(power_class(u))))* -> equal(intersection(intersection(image(element_relation,power_class(u)),v),w),identity_relation).
% 299.85/300.46  253474[5:Res:5605.1,249201.0] || member(regular(intersection(intersection(u,image(element_relation,power_class(v))),w)),power_class(complement(power_class(v))))* -> equal(intersection(intersection(u,image(element_relation,power_class(v))),w),identity_relation).
% 299.85/300.46  253473[5:Res:5581.1,249201.0] || member(regular(intersection(u,intersection(image(element_relation,power_class(v)),w))),power_class(complement(power_class(v))))* -> equal(intersection(u,intersection(image(element_relation,power_class(v)),w)),identity_relation).
% 299.85/300.46  253472[5:Res:5580.1,249201.0] || member(regular(intersection(u,intersection(v,image(element_relation,power_class(w))))),power_class(complement(power_class(w))))* -> equal(intersection(u,intersection(v,image(element_relation,power_class(w)))),identity_relation).
% 299.85/300.46  253435[5:Res:5216.2,249201.0] || member(image(element_relation,power_class(u)),universal_class) member(apply(choice,image(element_relation,power_class(u))),power_class(complement(power_class(u))))* -> equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.46  253596[0:SpR:252726.0,5163.1] ||  -> subclass(symmetric_difference(complement(power_class(u)),complement(power_class(v))),w) member(not_subclass_element(symmetric_difference(complement(power_class(u)),complement(power_class(v))),w),complement(intersection(power_class(u),power_class(v))))*.
% 299.85/300.46  254279[7:Rew:251758.0,254170.2,251758.0,254170.0] || member(image(element_relation,singleton(identity_relation)),universal_class) member(apply(choice,image(element_relation,singleton(identity_relation))),power_class(complement(singleton(identity_relation))))* -> equal(image(element_relation,singleton(identity_relation)),identity_relation).
% 299.85/300.46  254535[5:Rew:251759.0,254426.2,251759.0,254426.0] || member(image(element_relation,symmetrization_of(identity_relation)),universal_class) member(apply(choice,image(element_relation,symmetrization_of(identity_relation))),power_class(complement(inverse(identity_relation))))* -> equal(image(element_relation,symmetrization_of(identity_relation)),identity_relation).
% 299.85/300.46  254773[5:MRR:254737.0,29531.1] ||  -> member(not_subclass_element(regular(image(element_relation,power_class(u))),v),power_class(complement(power_class(u))))* subclass(regular(image(element_relation,power_class(u))),v) equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.46  255831[5:SpR:200704.1,34006.1] || equal(first(regular(cross_product(u,v))),universal_class) -> inductive(first(regular(cross_product(u,v))))* equal(cross_product(u,v),identity_relation) member(identity_relation,regular(cross_product(u,v))).
% 299.85/300.46  256254[5:MRR:256125.0,29542.1] || subclass(u,regular(intersection(complement(v),complement(w))))* -> member(regular(u),union(v,w)) equal(u,identity_relation) equal(intersection(complement(v),complement(w)),identity_relation).
% 299.85/300.46  256255[5:Obv:256111.2] || subclass(unordered_pair(u,v),regular(w))* member(v,w) -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation) equal(w,identity_relation).
% 299.85/300.46  256256[5:Obv:256110.2] || subclass(unordered_pair(u,v),regular(w))* member(u,w) -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation) equal(w,identity_relation).
% 299.85/300.46  256904[3:Res:28041.2,251410.0] inductive(intersection(power_class(u),complement(v))) || well_ordering(w,universal_class) member(least(w,intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))* -> .
% 299.85/300.46  256902[5:Res:5404.2,251410.0] || well_ordering(u,universal_class) member(least(u,intersection(power_class(v),complement(w))),union(complement(power_class(v)),w))* -> equal(intersection(power_class(v),complement(w)),identity_relation).
% 299.85/300.46  256875[0:Res:827.3,251410.0] function(u) || member(v,universal_class) subclass(universal_class,intersection(power_class(w),complement(x))) member(image(u,v),union(complement(power_class(w)),x))* -> .
% 299.85/300.46  256869[5:Res:5329.3,251410.0] || member(u,universal_class) subclass(u,intersection(power_class(v),complement(w))) member(apply(choice,u),union(complement(power_class(v)),w))* -> equal(u,identity_relation).
% 299.85/300.46  256864[0:Res:356.1,251410.0] || member(not_subclass_element(intersection(u,intersection(power_class(v),complement(w))),x),union(complement(power_class(v)),w))* -> subclass(intersection(u,intersection(power_class(v),complement(w))),x).
% 299.85/300.46  256845[0:Res:366.1,251410.0] || member(not_subclass_element(intersection(intersection(power_class(u),complement(v)),w),x),union(complement(power_class(u)),v))* -> subclass(intersection(intersection(power_class(u),complement(v)),w),x).
% 299.85/300.46  257096[3:Res:28041.2,251419.0] inductive(intersection(complement(u),power_class(v))) || well_ordering(w,universal_class) member(least(w,intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))* -> .
% 299.85/300.46  257094[5:Res:5404.2,251419.0] || well_ordering(u,universal_class) member(least(u,intersection(complement(v),power_class(w))),union(v,complement(power_class(w))))* -> equal(intersection(complement(v),power_class(w)),identity_relation).
% 299.85/300.46  257067[0:Res:827.3,251419.0] function(u) || member(v,universal_class) subclass(universal_class,intersection(complement(w),power_class(x))) member(image(u,v),union(w,complement(power_class(x))))* -> .
% 299.85/300.46  257061[5:Res:5329.3,251419.0] || member(u,universal_class) subclass(u,intersection(complement(v),power_class(w))) member(apply(choice,u),union(v,complement(power_class(w))))* -> equal(u,identity_relation).
% 299.85/300.46  257056[0:Res:356.1,251419.0] || member(not_subclass_element(intersection(u,intersection(complement(v),power_class(w))),x),union(v,complement(power_class(w))))* -> subclass(intersection(u,intersection(complement(v),power_class(w))),x).
% 299.85/300.46  257037[0:Res:366.1,251419.0] || member(not_subclass_element(intersection(intersection(complement(u),power_class(v)),w),x),union(u,complement(power_class(v))))* -> subclass(intersection(intersection(complement(u),power_class(v)),w),x).
% 299.85/300.46  257207[17:Res:195388.1,20569.2] || subclass(domain_relation,flip(union(u,v)))* member(ordered_pair(ordered_pair(w,x),identity_relation),complement(v))* member(ordered_pair(ordered_pair(w,x),identity_relation),complement(u))* -> .
% 299.85/300.46  257203[17:Res:195387.1,20569.2] || subclass(domain_relation,rotate(union(u,v)))* member(ordered_pair(ordered_pair(w,identity_relation),x),complement(v))* member(ordered_pair(ordered_pair(w,identity_relation),x),complement(u))* -> .
% 299.85/300.46  257685[5:SpL:47789.0,5464.0] || subclass(omega,regular(ordered_pair(u,v)))* -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(integer_of(w),identity_relation)** equal(w,singleton(v))* equal(w,u)*.
% 299.85/300.46  258121[5:Rew:118446.0,258025.3,118446.0,258025.2,118446.0,258025.1] || well_ordering(u,universal_class) -> equal(v,identity_relation) member(least(u,v),image(universal_class,singleton(least(u,v))))* asymmetric(cross_product(singleton(least(u,v)),universal_class),w)*.
% 299.85/300.46  258359[5:Res:8057.3,251419.0] || well_ordering(u,universal_class) subclass(v,intersection(complement(w),power_class(x))) member(least(u,v),union(w,complement(power_class(x))))* -> equal(v,identity_relation).
% 299.85/300.46  258358[5:Res:8057.3,251410.0] || well_ordering(u,universal_class) subclass(v,intersection(power_class(w),complement(x))) member(least(u,v),union(complement(power_class(w)),x))* -> equal(v,identity_relation).
% 299.85/300.46  258596[0:SpL:21036.0,8164.1] || member(u,symmetric_difference(symmetrization_of(v),union(complement(v),complement(inverse(v)))))* subclass(complement(symmetric_difference(complement(v),complement(inverse(v)))),w)* -> member(u,w)*.
% 299.85/300.46  258595[0:SpL:21037.0,8164.1] || member(u,symmetric_difference(successor(v),union(complement(v),complement(singleton(v)))))* subclass(complement(symmetric_difference(complement(v),complement(singleton(v)))),w)* -> member(u,w)*.
% 299.85/300.46  259008[5:Res:49.1,8397.0] inductive(restrict(u,v,w)) ||  -> equal(image(successor_relation,restrict(u,v,w)),identity_relation) member(regular(image(successor_relation,restrict(u,v,w))),cross_product(v,w))*.
% 299.85/300.46  259939[0:Obv:259879.1] || subclass(unordered_pair(u,v),symmetric_difference(w,x))* -> equal(not_subclass_element(unordered_pair(u,v),y),u)** subclass(unordered_pair(u,v),y) member(v,union(w,x)).
% 299.85/300.46  259940[0:Obv:259878.1] || subclass(unordered_pair(u,v),symmetric_difference(w,x))* -> equal(not_subclass_element(unordered_pair(u,v),y),v)** subclass(unordered_pair(u,v),y) member(u,union(w,x)).
% 299.85/300.46  260065[0:Res:133.1,8430.0] || section(u,v,w) subclass(v,x) -> subclass(domain_of(restrict(u,w,v)),y) member(not_subclass_element(domain_of(restrict(u,w,v)),y),x)*.
% 299.85/300.46  260326[0:Res:8213.2,9.0] || subclass(u,unordered_pair(v,w))* -> subclass(intersection(x,u),y) equal(not_subclass_element(intersection(x,u),y),w)* equal(not_subclass_element(intersection(x,u),y),v)*.
% 299.85/300.46  260314[0:Res:8213.2,251419.0] || subclass(u,intersection(complement(v),power_class(w))) member(not_subclass_element(intersection(x,u),y),union(v,complement(power_class(w))))* -> subclass(intersection(x,u),y).
% 299.85/300.46  260313[0:Res:8213.2,251410.0] || subclass(u,intersection(power_class(v),complement(w))) member(not_subclass_element(intersection(x,u),y),union(complement(power_class(v)),w))* -> subclass(intersection(x,u),y).
% 299.85/300.46  260566[0:Res:260367.1,3705.2] || subclass(u,v)* member(w,u)* member(w,x)* well_ordering(y,v)* -> member(least(y,intersection(x,u)),intersection(x,u))*.
% 299.85/300.46  261284[5:Res:261060.0,8397.0] ||  -> equal(intersection(u,restrict(restrict(v,w,x),y,z)),identity_relation) member(regular(intersection(u,restrict(restrict(v,w,x),y,z))),cross_product(w,x))*.
% 299.85/300.46  261844[5:Res:261666.0,3705.2] || member(u,symmetrization_of(identity_relation))* member(u,v)* well_ordering(w,inverse(identity_relation)) -> member(least(w,intersection(v,symmetrization_of(identity_relation))),intersection(v,symmetrization_of(identity_relation)))*.
% 299.85/300.46  261970[0:Res:8307.2,9.0] || subclass(u,unordered_pair(v,w))* -> subclass(intersection(u,x),y) equal(not_subclass_element(intersection(u,x),y),w)* equal(not_subclass_element(intersection(u,x),y),v)*.
% 299.85/300.46  261958[0:Res:8307.2,251419.0] || subclass(u,intersection(complement(v),power_class(w))) member(not_subclass_element(intersection(u,x),y),union(v,complement(power_class(w))))* -> subclass(intersection(u,x),y).
% 299.85/300.46  261957[0:Res:8307.2,251410.0] || subclass(u,intersection(power_class(v),complement(w))) member(not_subclass_element(intersection(u,x),y),union(complement(power_class(v)),w))* -> subclass(intersection(u,x),y).
% 299.85/300.46  262229[5:Res:261827.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(restrict(symmetrization_of(identity_relation),v,w),identity_relation) member(least(u,restrict(symmetrization_of(identity_relation),v,w)),restrict(symmetrization_of(identity_relation),v,w))*.
% 299.85/300.46  263265[0:Res:262795.0,3704.1] || member(u,universal_class) well_ordering(v,complement(w)) -> member(u,union(x,w))* member(least(v,complement(union(x,w))),complement(union(x,w)))*.
% 299.85/300.46  263585[0:Res:9102.1,729.1] inductive(domain_of(restrict(cross_product(u,omega),v,w))) || section(cross_product(v,w),omega,u) -> equal(domain_of(restrict(cross_product(u,omega),v,w)),omega)**.
% 299.85/300.46  263667[5:Res:263414.0,3705.2] || member(u,v)* member(u,symmetrization_of(identity_relation))* well_ordering(w,inverse(identity_relation)) -> member(least(w,intersection(symmetrization_of(identity_relation),v)),intersection(symmetrization_of(identity_relation),v))*.
% 299.85/300.46  264325[0:Res:264089.0,3704.1] || member(u,universal_class) well_ordering(v,complement(w)) -> member(u,union(w,x))* member(least(v,complement(union(w,x))),complement(union(w,x)))*.
% 299.85/300.46  264504[7:Res:264355.0,5215.0] || well_ordering(u,singleton(identity_relation)) -> equal(complement(successor(complement(singleton(identity_relation)))),identity_relation) member(least(u,complement(successor(complement(singleton(identity_relation))))),complement(successor(complement(singleton(identity_relation)))))*.
% 299.85/300.46  264503[7:Res:264355.0,3692.1] inductive(complement(successor(complement(singleton(identity_relation))))) || well_ordering(u,singleton(identity_relation)) -> member(least(u,complement(successor(complement(singleton(identity_relation))))),complement(successor(complement(singleton(identity_relation)))))*.
% 299.85/300.46  264530[5:Res:264356.0,5215.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(complement(successor(complement(inverse(identity_relation)))),identity_relation) member(least(u,complement(successor(complement(inverse(identity_relation))))),complement(successor(complement(inverse(identity_relation)))))*.
% 299.85/300.46  264555[7:Res:264409.0,5215.0] || well_ordering(u,singleton(identity_relation)) -> equal(complement(symmetrization_of(complement(singleton(identity_relation)))),identity_relation) member(least(u,complement(symmetrization_of(complement(singleton(identity_relation))))),complement(symmetrization_of(complement(singleton(identity_relation)))))*.
% 299.85/300.46  264554[7:Res:264409.0,3692.1] inductive(complement(symmetrization_of(complement(singleton(identity_relation))))) || well_ordering(u,singleton(identity_relation)) -> member(least(u,complement(symmetrization_of(complement(singleton(identity_relation))))),complement(symmetrization_of(complement(singleton(identity_relation)))))*.
% 299.85/300.46  264585[5:Res:264410.0,5215.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(complement(symmetrization_of(complement(inverse(identity_relation)))),identity_relation) member(least(u,complement(symmetrization_of(complement(inverse(identity_relation))))),complement(symmetrization_of(complement(inverse(identity_relation)))))*.
% 299.85/300.46  264648[5:Res:264357.0,5215.0] || well_ordering(u,power_class(v)) -> equal(complement(successor(complement(power_class(v)))),identity_relation) member(least(u,complement(successor(complement(power_class(v))))),complement(successor(complement(power_class(v)))))*.
% 299.85/300.46  264647[3:Res:264357.0,3692.1] inductive(complement(successor(complement(power_class(u))))) || well_ordering(v,power_class(u)) -> member(least(v,complement(successor(complement(power_class(u))))),complement(successor(complement(power_class(u)))))*.
% 299.85/300.46  264680[5:Res:264411.0,5215.0] || well_ordering(u,power_class(v)) -> equal(complement(symmetrization_of(complement(power_class(v)))),identity_relation) member(least(u,complement(symmetrization_of(complement(power_class(v))))),complement(symmetrization_of(complement(power_class(v)))))*.
% 299.85/300.46  264679[3:Res:264411.0,3692.1] inductive(complement(symmetrization_of(complement(power_class(u))))) || well_ordering(v,power_class(u)) -> member(least(v,complement(symmetrization_of(complement(power_class(u))))),complement(symmetrization_of(complement(power_class(u)))))*.
% 299.85/300.46  264754[5:Res:261641.0,5215.0] || well_ordering(u,complement(v)) -> equal(intersection(w,symmetric_difference(universal_class,v)),identity_relation) member(least(u,intersection(w,symmetric_difference(universal_class,v))),intersection(w,symmetric_difference(universal_class,v)))*.
% 299.85/300.46  264753[5:Res:261641.0,3692.1] inductive(intersection(u,symmetric_difference(universal_class,v))) || well_ordering(w,complement(v)) -> member(least(w,intersection(u,symmetric_difference(universal_class,v))),intersection(u,symmetric_difference(universal_class,v)))*.
% 299.85/300.46  264888[5:Res:263389.0,5215.0] || well_ordering(u,complement(v)) -> equal(intersection(symmetric_difference(universal_class,v),w),identity_relation) member(least(u,intersection(symmetric_difference(universal_class,v),w)),intersection(symmetric_difference(universal_class,v),w))*.
% 299.85/300.46  264887[5:Res:263389.0,3692.1] inductive(intersection(symmetric_difference(universal_class,u),v)) || well_ordering(w,complement(u)) -> member(least(w,intersection(symmetric_difference(universal_class,u),v)),intersection(symmetric_difference(universal_class,u),v))*.
% 299.85/300.46  265472[5:Rew:265225.1,265410.2] || equal(complement(compose(restrict(u,v,v),restrict(u,v,v))),identity_relation)** transitive(u,v) -> equal(restrict(u,v,v),cross_product(universal_class,universal_class)).
% 299.85/300.46  265520[5:Res:28995.3,776.0] function(cantor(u)) || member(cross_product(universal_class,universal_class),universal_class) subclass(domain_of(u),v) -> equal(cantor(u),identity_relation) member(least(element_relation,cantor(u)),v)*.
% 299.85/300.46  265508[5:Res:28995.3,944.0] function(symmetric_difference(u,v)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(symmetric_difference(u,v),identity_relation) member(least(element_relation,symmetric_difference(u,v)),union(u,v))*.
% 299.85/300.46  265857[5:Res:262147.0,8397.0] ||  -> equal(restrict(complement(complement(restrict(u,v,w))),x,y),identity_relation) member(regular(restrict(complement(complement(restrict(u,v,w))),x,y)),cross_product(v,w))*.
% 299.85/300.46  265920[5:SpR:252738.0,5311.2] || subclass(u,symmetric_difference(image(element_relation,power_class(v)),complement(power_class(w)))) -> equal(u,identity_relation) member(regular(u),complement(intersection(power_class(complement(power_class(v))),power_class(w))))*.
% 299.85/300.46  265917[5:SpR:252738.0,5462.2] || subclass(omega,symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v)))) -> equal(integer_of(w),identity_relation) member(w,complement(intersection(power_class(complement(power_class(u))),power_class(v))))*.
% 299.85/300.46  265999[5:Res:262737.0,8397.0] ||  -> equal(complement(complement(restrict(restrict(u,v,w),x,y))),identity_relation) member(regular(complement(complement(restrict(restrict(u,v,w),x,y)))),cross_product(v,w))*.
% 299.85/300.46  266157[5:Res:261130.0,8397.0] ||  -> equal(restrict(intersection(u,restrict(v,w,x)),y,z),identity_relation) member(regular(restrict(intersection(u,restrict(v,w,x)),y,z)),cross_product(w,x))*.
% 299.85/300.46  266260[5:SpR:253065.0,5311.2] || subclass(u,symmetric_difference(complement(power_class(v)),image(element_relation,power_class(w)))) -> equal(u,identity_relation) member(regular(u),complement(intersection(power_class(v),power_class(complement(power_class(w))))))*.
% 299.85/300.46  266257[5:SpR:253065.0,5462.2] || subclass(omega,symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v)))) -> equal(integer_of(w),identity_relation) member(w,complement(intersection(power_class(u),power_class(complement(power_class(v))))))*.
% 299.85/300.46  266402[5:Res:261700.0,8397.0] ||  -> equal(restrict(intersection(restrict(u,v,w),x),y,z),identity_relation) member(regular(restrict(intersection(restrict(u,v,w),x),y,z)),cross_product(v,w))*.
% 299.85/300.46  266532[5:Res:262535.0,8397.0] ||  -> equal(intersection(restrict(restrict(u,v,w),x,y),z),identity_relation) member(regular(intersection(restrict(restrict(u,v,w),x,y),z)),cross_product(v,w))*.
% 299.85/300.46  266812[5:Res:6971.1,123566.0] || member(cross_product(universal_class,universal_class),universal_class) -> equal(ordered_pair(first(ordered_pair(least(element_relation,domain_relation),omega)),second(ordered_pair(least(element_relation,domain_relation),omega))),ordered_pair(least(element_relation,domain_relation),omega))**.
% 299.85/300.46  266717[20:Res:265633.0,123566.0] ||  -> equal(ordered_pair(first(ordered_pair(regular(complement(complement(symmetrization_of(identity_relation)))),omega)),second(ordered_pair(regular(complement(complement(symmetrization_of(identity_relation)))),omega))),ordered_pair(regular(complement(complement(symmetrization_of(identity_relation)))),omega))**.
% 299.85/300.46  266956[5:Res:943.1,8100.2] || member(sum_class(u),symmetric_difference(v,w))* member(u,universal_class) subclass(universal_class,regular(complement(intersection(v,w))))* -> equal(complement(intersection(v,w)),identity_relation).
% 299.85/300.46  267007[5:MRR:266976.0,55.1] || member(u,universal_class) subclass(universal_class,regular(image(element_relation,power_class(v)))) -> member(sum_class(u),power_class(complement(power_class(v))))* equal(image(element_relation,power_class(v)),identity_relation).
% 299.85/300.46  267080[5:Res:943.1,8099.2] || member(power_class(u),symmetric_difference(v,w))* member(u,universal_class) subclass(universal_class,regular(complement(intersection(v,w))))* -> equal(complement(intersection(v,w)),identity_relation).
% 299.85/300.46  267067[5:SpL:8660.0,8099.2] || member(intersection(complement(u),complement(singleton(u))),universal_class)* subclass(universal_class,regular(v)) member(complement(image(element_relation,successor(u))),v)* -> equal(v,identity_relation).
% 299.85/300.46  267066[5:SpL:8659.0,8099.2] || member(intersection(complement(u),complement(inverse(u))),universal_class)* subclass(universal_class,regular(v)) member(complement(image(element_relation,symmetrization_of(u))),v)* -> equal(v,identity_relation).
% 299.85/300.46  267144[5:MRR:267100.0,57.1] || member(u,universal_class) subclass(universal_class,regular(image(element_relation,power_class(v)))) -> member(power_class(u),power_class(complement(power_class(v))))* equal(image(element_relation,power_class(v)),identity_relation).
% 299.85/300.46  267625[5:Res:267557.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))),identity_relation) member(least(u,symmetric_difference(universal_class,complement(symmetrization_of(identity_relation)))),symmetric_difference(universal_class,complement(symmetrization_of(identity_relation))))*.
% 299.85/300.46  267641[5:Res:267563.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(complement(successor(complement(inverse(identity_relation)))),identity_relation) member(least(u,complement(successor(complement(inverse(identity_relation))))),complement(successor(complement(inverse(identity_relation)))))*.
% 299.85/300.46  267657[5:Res:267564.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(complement(symmetrization_of(complement(inverse(identity_relation)))),identity_relation) member(least(u,complement(symmetrization_of(complement(inverse(identity_relation))))),complement(symmetrization_of(complement(inverse(identity_relation)))))*.
% 299.85/300.46  267674[20:Res:267580.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)),identity_relation) member(least(u,singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation))),singleton(not_subclass_element(symmetrization_of(identity_relation),identity_relation)))*.
% 299.85/300.46  268957[5:Rew:5381.1,268956.2] || member(regular(intersection(u,v)),unordered_pair(w,v))* -> equal(regular(unordered_pair(w,v)),w) equal(intersection(u,v),identity_relation) equal(unordered_pair(w,v),identity_relation).
% 299.85/300.46  268959[5:Rew:5381.2,268958.2] || member(regular(intersection(u,v)),unordered_pair(v,w))* -> equal(regular(unordered_pair(v,w)),w) equal(intersection(u,v),identity_relation) equal(unordered_pair(v,w),identity_relation).
% 299.85/300.46  269135[5:Rew:5381.1,269134.2] || member(regular(intersection(u,v)),unordered_pair(w,u))* -> equal(regular(unordered_pair(w,u)),w) equal(intersection(u,v),identity_relation) equal(unordered_pair(w,u),identity_relation).
% 299.85/300.46  269137[5:Rew:5381.2,269136.2] || member(regular(intersection(u,v)),unordered_pair(u,w))* -> equal(regular(unordered_pair(u,w)),w) equal(intersection(u,v),identity_relation) equal(unordered_pair(u,w),identity_relation).
% 299.85/300.46  269602[5:Res:5579.2,7532.1] || subclass(u,power_class(intersection(complement(v),complement(w)))) member(regular(intersection(x,u)),image(element_relation,union(v,w)))* -> equal(intersection(x,u),identity_relation).
% 299.85/300.46  269597[5:Res:5604.2,7532.1] || subclass(u,power_class(intersection(complement(v),complement(w)))) member(regular(intersection(u,x)),image(element_relation,union(v,w)))* -> equal(intersection(u,x),identity_relation).
% 299.85/300.46  269568[0:Res:20388.1,7532.1] || subclass(rest_relation,flip(power_class(intersection(complement(u),complement(v))))) member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),image(element_relation,union(u,v)))* -> .
% 299.85/300.46  269567[0:Res:20387.1,7532.1] || subclass(rest_relation,rotate(power_class(intersection(complement(u),complement(v))))) member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),image(element_relation,union(u,v)))* -> .
% 299.85/300.46  269523[0:SpL:579.0,7532.1] || member(u,image(element_relation,union(image(element_relation,union(v,w)),x))) member(u,power_class(intersection(power_class(intersection(complement(v),complement(w))),complement(x))))* -> .
% 299.85/300.46  269515[5:SpL:122711.0,7532.1] || member(u,image(element_relation,union(intersection(complement(v),union(w,identity_relation)),x)))* member(u,power_class(intersection(union(v,symmetric_difference(universal_class,w)),complement(x)))) -> .
% 299.85/300.46  269514[5:SpL:122708.0,7532.1] || member(u,image(element_relation,union(intersection(union(v,identity_relation),complement(w)),x)))* member(u,power_class(intersection(union(symmetric_difference(universal_class,v),w),complement(x)))) -> .
% 299.85/300.46  269500[0:SpL:579.0,7532.1] || member(u,image(element_relation,union(v,image(element_relation,union(w,x))))) member(u,power_class(intersection(complement(v),power_class(intersection(complement(w),complement(x))))))* -> .
% 299.85/300.46  269492[5:SpL:122711.0,7532.1] || member(u,image(element_relation,union(v,intersection(complement(w),union(x,identity_relation)))))* member(u,power_class(intersection(complement(v),union(w,symmetric_difference(universal_class,x))))) -> .
% 299.85/300.46  269491[5:SpL:122708.0,7532.1] || member(u,image(element_relation,union(v,intersection(union(w,identity_relation),complement(x)))))* member(u,power_class(intersection(complement(v),union(symmetric_difference(universal_class,w),x)))) -> .
% 299.85/300.46  269763[5:Res:49.1,27621.1] inductive(singleton(u)) || member(image(successor_relation,singleton(u)),universal_class) -> equal(image(successor_relation,singleton(u)),identity_relation) equal(apply(choice,image(successor_relation,singleton(u))),u)**.
% 299.85/300.46  270029[17:SpR:580.0,195208.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(intersection(complement(v),complement(w)),x)) -> member(ordered_pair(u,identity_relation),complement(intersection(union(v,w),complement(x))))*.
% 299.85/300.46  270017[17:SpR:581.0,195208.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,intersection(complement(w),complement(x)))) -> member(ordered_pair(u,identity_relation),complement(intersection(complement(v),union(w,x))))*.
% 299.85/300.46  270695[0:SpL:251244.0,8157.0] || member(u,symmetric_difference(complement(v),union(intersection(power_class(w),complement(x)),y)))* -> member(u,union(v,intersection(union(complement(power_class(w)),x),complement(y)))).
% 299.85/300.46  270676[0:SpL:251244.0,8157.0] || member(u,symmetric_difference(union(intersection(power_class(v),complement(w)),x),complement(y)))* -> member(u,union(intersection(union(complement(power_class(v)),w),complement(x)),y)).
% 299.85/300.46  270644[5:SpL:251244.0,5360.0] || subclass(omega,union(intersection(power_class(u),complement(v)),w)) member(x,intersection(union(complement(power_class(u)),v),complement(w)))* -> equal(integer_of(x),identity_relation).
% 299.85/300.46  270552[0:SpR:579.0,251244.0] ||  -> equal(complement(intersection(union(complement(power_class(u)),v),power_class(intersection(complement(w),complement(x))))),union(intersection(power_class(u),complement(v)),image(element_relation,union(w,x))))**.
% 299.85/300.46  270544[5:SpR:122711.0,251244.0] ||  -> equal(union(intersection(power_class(u),complement(v)),intersection(complement(w),union(x,identity_relation))),complement(intersection(union(complement(power_class(u)),v),union(w,symmetric_difference(universal_class,x)))))**.
% 299.85/300.46  270543[5:SpR:122708.0,251244.0] ||  -> equal(union(intersection(power_class(u),complement(v)),intersection(union(w,identity_relation),complement(x))),complement(intersection(union(complement(power_class(u)),v),union(symmetric_difference(universal_class,w),x))))**.
% 299.85/300.46  270517[5:SpR:251244.0,122708.0] ||  -> equal(union(symmetric_difference(universal_class,u),intersection(union(complement(power_class(v)),w),complement(x))),complement(intersection(union(u,identity_relation),union(intersection(power_class(v),complement(w)),x))))**.
% 299.85/300.46  270482[5:SpR:251244.0,122711.0] ||  -> equal(union(intersection(union(complement(power_class(u)),v),complement(w)),symmetric_difference(universal_class,x)),complement(intersection(union(intersection(power_class(u),complement(v)),w),union(x,identity_relation))))**.
% 299.85/300.46  20356[0:Res:780.2,18.0] || member(u,universal_class) subclass(rest_relation,cross_product(v,w))* -> equal(ordered_pair(first(ordered_pair(u,rest_of(u))),second(ordered_pair(u,rest_of(u)))),ordered_pair(u,rest_of(u)))**.
% 299.85/300.46  21003[0:SpR:941.0,160.0] ||  -> equal(intersection(complement(symmetric_difference(complement(u),complement(v))),union(union(u,v),union(complement(u),complement(v)))),symmetric_difference(union(u,v),union(complement(u),complement(v))))**.
% 299.85/300.46  40256[0:Res:4107.3,1025.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x)* subclass(universal_class,complement(flip(x))) -> .
% 299.85/300.46  40257[0:Res:4116.3,1025.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x)* subclass(universal_class,complement(rotate(x))) -> .
% 299.85/300.46  47907[0:Res:3654.2,8165.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,intersection(w,x)) member(ordered_pair(u,ordered_pair(v,compose(u,v))),symmetric_difference(w,x))* -> .
% 299.85/300.46  33421[0:SpL:598.0,1014.1] || section(cross_product(u,v),w,x) subclass(w,domain_of(restrict(cross_product(x,w),u,v)))* -> equal(domain_of(restrict(cross_product(u,v),x,w)),w).
% 299.85/300.46  34146[0:Res:3654.2,595.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,restrict(w,x,y))* -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),cross_product(x,y))*.
% 299.85/300.46  33313[0:SpR:598.0,754.1] || member(restrict(cross_product(u,v),w,singleton(x)),universal_class) -> member(ordered_pair(restrict(cross_product(w,singleton(x)),u,v),segment(cross_product(u,v),w,x)),domain_relation)*.
% 299.85/300.46  9124[0:SpL:598.0,120.0] || subclass(compose(restrict(cross_product(u,u),v,w),restrict(cross_product(u,u),v,w)),restrict(cross_product(u,u),v,w))* -> transitive(cross_product(v,w),u).
% 299.85/300.46  31918[0:SpL:598.0,3834.0] || equal(compose(restrict(cross_product(u,u),v,w),restrict(cross_product(u,u),v,w)),restrict(cross_product(u,u),v,w))** -> transitive(cross_product(v,w),u).
% 299.85/300.46  9107[0:SpR:598.0,119.1] || transitive(cross_product(u,v),w) -> subclass(compose(restrict(cross_product(w,w),u,v),restrict(cross_product(w,w),u,v)),restrict(cross_product(w,w),u,v))*.
% 299.85/300.46  34341[0:Res:3.1,3336.0] || member(u,v)* -> subclass(w,x) equal(ordered_pair(first(ordered_pair(u,not_subclass_element(w,x))),second(ordered_pair(u,not_subclass_element(w,x)))),ordered_pair(u,not_subclass_element(w,x)))**.
% 299.85/300.46  28264[0:Res:2603.2,4.0] || member(not_subclass_element(u,restrict(v,w,x)),cross_product(w,x))* member(not_subclass_element(u,restrict(v,w,x)),v)* -> subclass(u,restrict(v,w,x)).
% 299.85/300.46  34704[0:Rew:160.0,34619.2,160.0,34619.1] || member(not_subclass_element(u,symmetric_difference(v,w)),union(v,w)) member(not_subclass_element(u,symmetric_difference(v,w)),complement(intersection(v,w)))* -> subclass(u,symmetric_difference(v,w)).
% 299.85/300.46  27981[0:Res:780.2,1043.0] || member(u,universal_class) subclass(rest_relation,ordered_pair(v,w))* -> equal(ordered_pair(u,rest_of(u)),unordered_pair(v,singleton(w)))* equal(ordered_pair(u,rest_of(u)),singleton(v)).
% 299.85/300.46  47748[0:Res:783.1,2599.1] || subclass(ordered_pair(u,v),complement(intersection(w,x))) member(unordered_pair(u,singleton(v)),union(w,x)) -> member(unordered_pair(u,singleton(v)),symmetric_difference(w,x))*.
% 299.85/300.46  146068[5:SpR:146057.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(domain_of(u),cantor(u))),union(complement(cantor(u)),union(domain_of(u),cantor(u)))),symmetric_difference(complement(cantor(u)),union(domain_of(u),cantor(u))))**.
% 299.85/300.46  162499[0:Res:122671.0,1043.0] ||  -> subclass(u,complement(ordered_pair(v,w))) equal(not_subclass_element(u,complement(ordered_pair(v,w))),unordered_pair(v,singleton(w)))** equal(not_subclass_element(u,complement(ordered_pair(v,w))),singleton(v)).
% 299.85/300.46  163294[5:Res:4116.3,153534.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x)* equal(complement(rotate(x)),universal_class) -> .
% 299.85/300.46  163374[5:Res:4107.3,153534.1] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x)* equal(complement(flip(x)),universal_class) -> .
% 299.85/300.46  36379[0:SpL:2089.1,20.0] || member(not_subclass_element(cross_product(u,v),w),element_relation) -> subclass(cross_product(u,v),w) member(first(not_subclass_element(cross_product(u,v),w)),second(not_subclass_element(cross_product(u,v),w)))*.
% 299.85/300.46  34026[5:SpL:5338.1,94.0] || member(regular(cross_product(u,v)),compose_class(w)) -> equal(cross_product(u,v),identity_relation) equal(compose(w,first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.46  34158[5:Res:3654.2,5405.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,regular(w)) member(ordered_pair(u,ordered_pair(v,compose(u,v))),w)* -> equal(w,identity_relation).
% 299.85/300.46  123354[5:Rew:119684.0,52325.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(universal_class,w)) member(ordered_pair(u,ordered_pair(v,compose(u,v))),union(w,identity_relation))* -> .
% 299.85/300.46  52022[5:MRR:51989.0,29542.1] ||  -> member(regular(regular(intersection(complement(u),complement(v)))),union(u,v))* equal(regular(intersection(complement(u),complement(v))),identity_relation) equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.46  117679[5:Res:133.1,5320.0] || section(u,intersection(v,w),x) -> equal(domain_of(restrict(u,x,intersection(v,w))),identity_relation) member(regular(domain_of(restrict(u,x,intersection(v,w)))),w)*.
% 299.85/300.46  117878[5:Res:133.1,5321.0] || section(u,intersection(v,w),x) -> equal(domain_of(restrict(u,x,intersection(v,w))),identity_relation) member(regular(domain_of(restrict(u,x,intersection(v,w)))),v)*.
% 299.85/300.46  117914[5:Res:5343.1,9.0] ||  -> equal(restrict(unordered_pair(u,v),w,x),identity_relation) equal(regular(restrict(unordered_pair(u,v),w,x)),v)** equal(regular(restrict(unordered_pair(u,v),w,x)),u)**.
% 299.85/300.46  183468[5:Res:29470.2,5490.0] || member(u,universal_class) member(v,u) subclass(element_relation,w) well_ordering(omega,w)* -> equal(integer_of(ordered_pair(ordered_pair(v,u),least(omega,element_relation))),identity_relation)**.
% 299.85/300.46  123656[5:Res:5213.0,3926.0] || member(u,v)* member(u,w)* subclass(w,x)* well_ordering(cross_product(v,omega),x)* -> equal(integer_of(least(cross_product(v,omega),w)),identity_relation)**.
% 299.85/300.46  124377[5:Res:123649.1,3926.0] || member(u,v)* member(u,w)* subclass(w,x)* well_ordering(cross_product(v,universal_class),x)* -> equal(integer_of(least(cross_product(v,universal_class),w)),identity_relation)**.
% 299.85/300.46  36780[5:Res:16080.1,3926.0] || member(u,v)* member(u,w)* subclass(w,x)* well_ordering(cross_product(v,universal_class),x)* -> equal(singleton(least(cross_product(v,universal_class),w)),identity_relation)**.
% 299.85/300.46  30211[0:Res:3743.3,126.0] || member(u,universal_class)* member(v,universal_class)* equal(successor(v),u)* subclass(successor_relation,w) well_ordering(x,w)* -> member(least(x,successor_relation),successor_relation)*.
% 299.85/300.46  37478[5:MRR:37477.0,29469.1] || member(u,complement(intersection(v,universal_class)))* subclass(symmetric_difference(v,universal_class),w)* well_ordering(x,w)* -> member(least(x,symmetric_difference(v,universal_class)),symmetric_difference(v,universal_class))*.
% 299.85/300.46  116869[3:Res:28061.2,8157.0] inductive(symmetric_difference(complement(u),complement(v))) || well_ordering(w,symmetric_difference(complement(u),complement(v))) -> member(least(w,symmetric_difference(complement(u),complement(v))),union(u,v))*.
% 299.85/300.46  28080[3:Res:8614.0,3692.1] inductive(symmetric_difference(complement(u),complement(v))) || well_ordering(w,union(u,v)) -> member(least(w,symmetric_difference(complement(u),complement(v))),symmetric_difference(complement(u),complement(v)))*.
% 299.85/300.46  123353[5:Rew:119684.0,50647.1] || member(u,universal_class) well_ordering(v,symmetric_difference(universal_class,w)) -> member(u,union(w,identity_relation))* member(least(v,complement(union(w,identity_relation))),complement(union(w,identity_relation)))*.
% 299.85/300.46  90344[0:Res:86316.0,3704.1] || member(u,universal_class) well_ordering(v,intersection(complement(w),complement(inverse(w)))) -> member(u,symmetrization_of(w))* member(least(v,complement(symmetrization_of(w))),complement(symmetrization_of(w)))*.
% 299.85/300.46  90345[0:Res:86317.0,3704.1] || member(u,universal_class) well_ordering(v,intersection(complement(w),complement(singleton(w)))) -> member(u,successor(w))* member(least(v,complement(successor(w))),complement(successor(w)))*.
% 299.85/300.46  123437[5:Rew:118447.0,123436.2] inductive(symmetric_difference(identity_relation,intersection(complement(u),universal_class))) || well_ordering(v,complement(union(u,identity_relation))) -> member(least(v,complement(union(u,identity_relation))),complement(union(u,identity_relation)))*.
% 299.85/300.46  146133[5:Res:146067.0,3692.1] inductive(symmetric_difference(domain_of(u),cantor(u))) || well_ordering(v,complement(cantor(u))) -> member(least(v,symmetric_difference(domain_of(u),cantor(u))),symmetric_difference(domain_of(u),cantor(u)))*.
% 299.85/300.46  123439[5:Rew:122360.0,123438.2,122360.0,123438.1] inductive(symmetric_difference(identity_relation,intersection(universal_class,complement(u)))) || well_ordering(v,complement(complement(complement(u)))) -> member(least(v,complement(complement(complement(u)))),complement(complement(complement(u))))*.
% 299.85/300.46  120731[5:Rew:119609.0,120687.2] || section(universal_class,u,v) well_ordering(w,u) -> equal(domain_of(cross_product(v,u)),identity_relation) member(least(w,domain_of(cross_product(v,u))),domain_of(cross_product(v,u)))*.
% 299.85/300.46  30967[5:MRR:30950.3,5184.0] || member(u,universal_class) well_ordering(v,u) subclass(singleton(least(v,sum_class(u))),sum_class(u)) -> section(v,singleton(least(v,sum_class(u))),sum_class(u))*.
% 299.85/300.46  116867[5:Res:5403.2,8157.0] || well_ordering(u,symmetric_difference(complement(v),complement(w))) -> equal(symmetric_difference(complement(v),complement(w)),identity_relation) member(least(u,symmetric_difference(complement(v),complement(w))),union(v,w))*.
% 299.85/300.46  9029[5:Res:8614.0,5215.0] || well_ordering(u,union(v,w)) -> equal(symmetric_difference(complement(v),complement(w)),identity_relation) member(least(u,symmetric_difference(complement(v),complement(w))),symmetric_difference(complement(v),complement(w)))*.
% 299.85/300.46  166968[5:Res:146067.0,5215.0] || well_ordering(u,complement(cantor(v))) -> equal(symmetric_difference(domain_of(v),cantor(v)),identity_relation) member(least(u,symmetric_difference(domain_of(v),cantor(v))),symmetric_difference(domain_of(v),cantor(v)))*.
% 299.85/300.46  30968[5:MRR:30945.2,5184.0] || well_ordering(u,cross_product(cross_product(universal_class,universal_class),universal_class)) subclass(singleton(least(u,flip(v))),flip(v)) -> section(u,singleton(least(u,flip(v))),flip(v))*.
% 299.85/300.46  30969[5:MRR:30944.2,5184.0] || well_ordering(u,cross_product(cross_product(universal_class,universal_class),universal_class)) subclass(singleton(least(u,rotate(v))),rotate(v)) -> section(u,singleton(least(u,rotate(v))),rotate(v))*.
% 299.85/300.46  34336[0:Res:7512.1,3336.0] function(u) || member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,apply(u,x))),second(ordered_pair(v,apply(u,x)))),ordered_pair(v,apply(u,x)))**.
% 299.85/300.46  30746[5:Rew:941.0,30675.1,941.0,30675.0] || member(symmetric_difference(complement(u),complement(v)),universal_class) -> equal(symmetric_difference(complement(u),complement(v)),identity_relation) member(apply(choice,symmetric_difference(complement(u),complement(v))),union(u,v))*.
% 299.85/300.46  30720[5:Res:5331.2,944.0] || member(intersection(symmetric_difference(u,v),w),universal_class) -> equal(intersection(symmetric_difference(u,v),w),identity_relation) member(apply(choice,intersection(symmetric_difference(u,v),w)),union(u,v))*.
% 299.85/300.46  30614[5:Res:5330.2,944.0] || member(intersection(u,symmetric_difference(v,w)),universal_class) -> equal(intersection(u,symmetric_difference(v,w)),identity_relation) member(apply(choice,intersection(u,symmetric_difference(v,w))),union(v,w))*.
% 299.85/300.46  114813[5:Res:5330.2,776.0] || member(intersection(u,cantor(v)),universal_class) subclass(domain_of(v),w) -> equal(intersection(u,cantor(v)),identity_relation) member(apply(choice,intersection(u,cantor(v))),w)*.
% 299.85/300.46  114790[5:Res:5331.2,776.0] || member(intersection(cantor(u),v),universal_class) subclass(domain_of(u),w) -> equal(intersection(cantor(u),v),identity_relation) member(apply(choice,intersection(cantor(u),v)),w)*.
% 299.85/300.46  27633[5:Res:5329.3,18.0] || member(u,universal_class) subclass(u,cross_product(v,w))* -> equal(u,identity_relation) equal(ordered_pair(first(apply(choice,u)),second(apply(choice,u))),apply(choice,u))**.
% 299.85/300.46  4022[0:Res:763.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,singleton(x)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,singleton(x)),compose(u,v))*.
% 299.85/300.46  125005[0:Res:119650.1,60.0] || equal(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,singleton(x)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,singleton(x)),compose(u,v))*.
% 299.85/300.46  24021[5:Res:3389.1,5259.0] || member(image(u,singleton(v)),universal_class) well_ordering(w,image(u,singleton(v))) -> equal(segment(w,apply(u,v),least(w,apply(u,v))),identity_relation)**.
% 299.85/300.46  163260[5:Res:153612.1,74983.1] || equal(complement(apply(u,v)),universal_class) well_ordering(element_relation,image(u,singleton(v)))* -> equal(image(u,singleton(v)),universal_class) member(image(u,singleton(v)),universal_class).
% 299.85/300.46  121471[5:Res:120735.0,5215.0] || well_ordering(u,image(universal_class,v)) -> equal(cantor(inverse(cross_product(v,universal_class))),identity_relation) member(least(u,cantor(inverse(cross_product(v,universal_class)))),cantor(inverse(cross_product(v,universal_class))))*.
% 299.85/300.46  121469[5:Res:120735.0,3692.1] inductive(cantor(inverse(cross_product(u,universal_class)))) || well_ordering(v,image(universal_class,u)) -> member(least(v,cantor(inverse(cross_product(u,universal_class)))),cantor(inverse(cross_product(u,universal_class))))*.
% 299.85/300.46  33380[5:SpL:5392.2,3524.1] || member(u,universal_class) member(ordered_pair(u,v),compose(w,x))* subclass(image(w,range_of(identity_relation)),y)* -> member(u,domain_of(x)) member(v,y)*.
% 299.85/300.46  26615[5:MRR:26605.0,15.1] || member(u,image(v,range_of(identity_relation))) member(ordered_pair(w,u),cross_product(universal_class,universal_class)) -> member(w,domain_of(x)) member(ordered_pair(w,u),compose(v,x))*.
% 299.85/300.46  168541[12:Rew:168477.0,168513.4,168477.0,168513.1] || member(least(identity_relation,u),universal_class)* equal(sum_class(range_of(v)),least(identity_relation,u))* member(v,u)* subclass(u,w)* well_ordering(identity_relation,w)* -> .
% 299.85/300.46  90400[0:Res:86994.1,3700.1] || equal(cantor(inverse(u)),unordered_pair(v,w))* member(w,universal_class) well_ordering(x,range_of(u))* -> member(least(x,unordered_pair(v,w)),unordered_pair(v,w))*.
% 299.85/300.46  90635[0:Res:86994.1,3701.1] || equal(cantor(inverse(u)),unordered_pair(v,w))* member(v,universal_class) well_ordering(x,range_of(u))* -> member(least(x,unordered_pair(v,w)),unordered_pair(v,w))*.
% 299.85/300.46  90327[0:Res:86994.1,3704.1] || equal(cantor(inverse(u)),complement(v))* member(w,universal_class)* well_ordering(x,range_of(u))* -> member(w,v)* member(least(x,complement(v)),complement(v))*.
% 299.85/300.46  192289[15:Res:191817.0,5215.0] || well_ordering(u,successor(range_of(identity_relation))) -> equal(symmetric_difference(complement(range_of(identity_relation)),universal_class),identity_relation) member(least(u,symmetric_difference(complement(range_of(identity_relation)),universal_class)),symmetric_difference(complement(range_of(identity_relation)),universal_class))*.
% 299.85/300.46  194085[15:Res:191817.0,3692.1] inductive(symmetric_difference(complement(range_of(identity_relation)),universal_class)) || well_ordering(u,successor(range_of(identity_relation))) -> member(least(u,symmetric_difference(complement(range_of(identity_relation)),universal_class)),symmetric_difference(complement(range_of(identity_relation)),universal_class))*.
% 299.85/300.46  195288[17:Rew:195144.1,195205.3] || member(u,universal_class) subclass(domain_relation,complement(intersection(v,w))) member(ordered_pair(u,identity_relation),union(v,w)) -> member(ordered_pair(u,identity_relation),symmetric_difference(v,w))*.
% 299.85/300.46  198195[17:Res:195177.2,5490.0] || member(u,universal_class) subclass(domain_relation,v) subclass(v,w)* well_ordering(omega,w)* -> equal(integer_of(ordered_pair(ordered_pair(u,identity_relation),least(omega,v))),identity_relation)**.
% 299.85/300.46  199407[12:Res:192415.1,5490.0] || member(u,universal_class) subclass(ordered_pair(range_of(u),v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(identity_relation,least(omega,ordered_pair(range_of(u),v)))),identity_relation)**.
% 299.85/300.46  199940[17:Rew:196425.0,199924.2] || member(ordered_pair(inverse(u),not_subclass_element(v,image(w,image(x,identity_relation)))),compose(w,x))* -> equal(range_of(u),identity_relation) subclass(v,image(w,image(x,identity_relation))).
% 299.85/300.46  199941[12:Rew:192336.1,199921.2] || member(u,universal_class) member(ordered_pair(range_of(u),not_subclass_element(v,image(w,image(x,identity_relation)))),compose(w,x))* -> subclass(v,image(w,image(x,identity_relation))).
% 299.85/300.46  200075[17:Res:197207.1,5490.0] || subclass(ordered_pair(inverse(u),v),w)* well_ordering(omega,w) -> equal(range_of(u),identity_relation) equal(integer_of(ordered_pair(identity_relation,least(omega,ordered_pair(inverse(u),v)))),identity_relation)**.
% 299.85/300.46  200304[5:SpR:5461.2,160697.0] || section(u,v,w) well_ordering(universal_class,v) -> subclass(cantor(cross_product(domain_of(restrict(u,w,v)),singleton(least(universal_class,domain_of(restrict(u,w,v)))))),identity_relation)*.
% 299.85/300.46  202514[5:Res:153612.1,3807.1] || equal(complement(restrict(u,v,v)),universal_class) transitive(u,v) -> equal(compose(restrict(u,v,v),restrict(u,v,v)),restrict(u,v,v))**.
% 299.85/300.46  205324[5:Res:205150.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,power_class(identity_relation)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,power_class(identity_relation)),compose(u,v))*.
% 299.85/300.46  207943[11:Res:207750.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,regular(complement(power_class(identity_relation))))),second(ordered_pair(u,regular(complement(power_class(identity_relation)))))),ordered_pair(u,regular(complement(power_class(identity_relation)))))**.
% 299.85/300.46  208127[10:Res:207752.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,regular(complement(power_class(universal_class))))),second(ordered_pair(u,regular(complement(power_class(universal_class)))))),ordered_pair(u,regular(complement(power_class(universal_class)))))**.
% 299.85/300.46  209015[15:Rew:208959.1,162214.2] function(cross_product(u,universal_class)) || subclass(image(universal_class,u),domain_of(range_of(v))) equal(domain_of(domain_of(w)),universal_class) -> compatible(cross_product(u,universal_class),w,inverse(v))*.
% 299.85/300.46  210006[17:SpL:209320.1,60.0] function(u) || member(v,image(w,image(x,identity_relation))) member(ordered_pair(u,v),cross_product(universal_class,universal_class)) -> member(ordered_pair(u,v),compose(w,x))*.
% 299.85/300.46  210637[17:SpR:5337.2,209752.1] function(first(apply(choice,cross_product(u,v)))) || member(cross_product(u,v),universal_class) -> equal(cross_product(u,v),identity_relation) member(identity_relation,apply(choice,cross_product(u,v)))*.
% 299.85/300.46  38861[5:Rew:5309.0,38854.3] || member(ordered_pair(u,ordered_pair(v,least(range_of(identity_relation),w))),compose(identity_relation,x))* member(v,w) subclass(w,y)* well_ordering(range_of(identity_relation),y)* -> .
% 299.85/300.46  121906[5:SpR:26481.1,59.1] || member(ordered_pair(u,v),compose(regular(cross_product(image(w,singleton(u)),universal_class)),w))* -> equal(cross_product(image(w,singleton(u)),universal_class),identity_relation) member(v,range_of(identity_relation)).
% 299.85/300.46  207785[9:Res:207747.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,regular(complement(symmetrization_of(identity_relation))))),second(ordered_pair(u,regular(complement(symmetrization_of(identity_relation)))))),ordered_pair(u,regular(complement(symmetrization_of(identity_relation)))))**.
% 299.85/300.46  213906[17:Res:195387.1,3928.0] || subclass(domain_relation,rotate(compose(u,v))) member(w,x)* subclass(x,y)* well_ordering(image(u,image(v,singleton(ordered_pair(z,identity_relation)))),y)* -> .
% 299.85/300.46  213863[17:Res:195387.1,18.0] || subclass(domain_relation,rotate(cross_product(u,v)))* -> equal(ordered_pair(first(ordered_pair(ordered_pair(w,identity_relation),x)),second(ordered_pair(ordered_pair(w,identity_relation),x))),ordered_pair(ordered_pair(w,identity_relation),x))**.
% 299.85/300.46  213965[17:Res:195388.1,18.0] || subclass(domain_relation,flip(cross_product(u,v)))* -> equal(ordered_pair(first(ordered_pair(ordered_pair(w,x),identity_relation)),second(ordered_pair(ordered_pair(w,x),identity_relation))),ordered_pair(ordered_pair(w,x),identity_relation))**.
% 299.85/300.46  217739[5:SpL:122711.0,5333.0] || member(regular(power_class(intersection(complement(u),union(v,identity_relation)))),image(element_relation,union(u,symmetric_difference(universal_class,v))))* -> equal(power_class(intersection(complement(u),union(v,identity_relation))),identity_relation).
% 299.85/300.46  217637[5:SpR:122711.0,941.0] ||  -> equal(intersection(union(u,intersection(complement(v),union(w,identity_relation))),union(complement(u),union(v,symmetric_difference(universal_class,w)))),symmetric_difference(complement(u),union(v,symmetric_difference(universal_class,w))))**.
% 299.85/300.46  217613[5:SpR:122711.0,8659.0] ||  -> equal(power_class(intersection(union(u,symmetric_difference(universal_class,v)),complement(inverse(intersection(complement(u),union(v,identity_relation)))))),complement(image(element_relation,symmetrization_of(intersection(complement(u),union(v,identity_relation))))))**.
% 299.85/300.46  217611[5:SpR:122711.0,8660.0] ||  -> equal(power_class(intersection(union(u,symmetric_difference(universal_class,v)),complement(singleton(intersection(complement(u),union(v,identity_relation)))))),complement(image(element_relation,successor(intersection(complement(u),union(v,identity_relation))))))**.
% 299.85/300.46  217594[5:SpR:122711.0,941.0] ||  -> equal(intersection(union(intersection(complement(u),union(v,identity_relation)),w),union(union(u,symmetric_difference(universal_class,v)),complement(w))),symmetric_difference(union(u,symmetric_difference(universal_class,v)),complement(w)))**.
% 299.85/300.46  218337[5:SpL:122708.0,5333.0] || member(regular(power_class(intersection(union(u,identity_relation),complement(v)))),image(element_relation,union(symmetric_difference(universal_class,u),v)))* -> equal(power_class(intersection(union(u,identity_relation),complement(v))),identity_relation).
% 299.85/300.46  218234[5:SpR:122708.0,941.0] ||  -> equal(intersection(union(u,intersection(union(v,identity_relation),complement(w))),union(complement(u),union(symmetric_difference(universal_class,v),w))),symmetric_difference(complement(u),union(symmetric_difference(universal_class,v),w)))**.
% 299.85/300.46  218210[5:SpR:122708.0,8659.0] ||  -> equal(power_class(intersection(union(symmetric_difference(universal_class,u),v),complement(inverse(intersection(union(u,identity_relation),complement(v)))))),complement(image(element_relation,symmetrization_of(intersection(union(u,identity_relation),complement(v))))))**.
% 299.85/300.46  218208[5:SpR:122708.0,8660.0] ||  -> equal(power_class(intersection(union(symmetric_difference(universal_class,u),v),complement(singleton(intersection(union(u,identity_relation),complement(v)))))),complement(image(element_relation,successor(intersection(union(u,identity_relation),complement(v))))))**.
% 299.85/300.46  218191[5:SpR:122708.0,941.0] ||  -> equal(intersection(union(intersection(union(u,identity_relation),complement(v)),w),union(union(symmetric_difference(universal_class,u),v),complement(w))),symmetric_difference(union(symmetric_difference(universal_class,u),v),complement(w)))**.
% 299.85/300.46  222213[5:Res:5343.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(restrict(u,w,x),identity_relation) equal(integer_of(ordered_pair(regular(restrict(u,w,x)),least(omega,u))),identity_relation)**.
% 299.85/300.46  224450[5:Rew:579.0,224434.2] || subclass(omega,image(element_relation,union(u,v))) -> equal(integer_of(regular(power_class(intersection(complement(u),complement(v))))),identity_relation)** equal(power_class(intersection(complement(u),complement(v))),identity_relation).
% 299.85/300.46  227596[5:Rew:579.0,227473.1] || member(regular(intersection(power_class(intersection(complement(u),complement(v))),w)),image(element_relation,union(u,v)))* -> equal(intersection(power_class(intersection(complement(u),complement(v))),w),identity_relation).
% 299.85/300.46  228300[5:Rew:579.0,227902.1] || member(regular(intersection(u,power_class(intersection(complement(v),complement(w))))),image(element_relation,union(v,w)))* -> equal(intersection(u,power_class(intersection(complement(v),complement(w)))),identity_relation).
% 299.85/300.46  231349[5:Res:3728.1,5318.0] || equal(sum_class(restrict(u,v,w)),restrict(u,v,w)) -> equal(sum_class(restrict(u,v,w)),identity_relation) member(regular(sum_class(restrict(u,v,w))),u)*.
% 299.85/300.46  231909[0:SpR:580.0,5163.1] ||  -> subclass(symmetric_difference(intersection(complement(u),complement(v)),w),x) member(not_subclass_element(symmetric_difference(intersection(complement(u),complement(v)),w),x),complement(intersection(union(u,v),complement(w))))*.
% 299.85/300.46  231898[0:SpR:581.0,5163.1] ||  -> subclass(symmetric_difference(u,intersection(complement(v),complement(w))),x) member(not_subclass_element(symmetric_difference(u,intersection(complement(v),complement(w))),x),complement(intersection(complement(u),union(v,w))))*.
% 299.85/300.46  233294[5:Rew:122711.0,233250.1] || member(regular(image(element_relation,union(u,symmetric_difference(universal_class,v)))),power_class(intersection(complement(u),union(v,identity_relation))))* -> equal(image(element_relation,union(u,symmetric_difference(universal_class,v))),identity_relation).
% 299.85/300.46  233295[5:Rew:122708.0,233248.1] || member(regular(image(element_relation,union(symmetric_difference(universal_class,u),v))),power_class(intersection(union(u,identity_relation),complement(v))))* -> equal(image(element_relation,union(symmetric_difference(universal_class,u),v)),identity_relation).
% 299.85/300.46  233394[5:Res:230404.0,3704.1] || member(u,universal_class)* well_ordering(v,complement(singleton(complement(w)))) -> equal(singleton(complement(w)),identity_relation) member(u,w)* member(least(v,complement(w)),complement(w))*.
% 299.85/300.46  233941[0:Res:943.1,28903.1] || member(singleton(complement(intersection(u,v))),symmetric_difference(u,v))* member(complement(intersection(u,v)),universal_class) -> member(singleton(singleton(singleton(complement(intersection(u,v))))),element_relation)*.
% 299.85/300.46  234169[17:Res:2603.2,195186.2] || member(ordered_pair(u,identity_relation),cross_product(v,w))* member(ordered_pair(u,identity_relation),x)* member(u,universal_class) subclass(domain_relation,complement(restrict(x,v,w)))* -> .
% 299.85/300.46  234812[5:Rew:122711.0,234778.2] || subclass(omega,intersection(complement(u),union(v,identity_relation))) -> equal(integer_of(not_subclass_element(union(u,symmetric_difference(universal_class,v)),w)),identity_relation)** subclass(union(u,symmetric_difference(universal_class,v)),w).
% 299.85/300.46  234813[5:Rew:122708.0,234776.2] || subclass(omega,intersection(union(u,identity_relation),complement(v))) -> equal(integer_of(not_subclass_element(union(symmetric_difference(universal_class,u),v),w)),identity_relation)** subclass(union(symmetric_difference(universal_class,u),v),w).
% 299.85/300.46  234975[15:Res:233425.0,5490.0] || subclass(complement(singleton(ordered_pair(range_of(identity_relation),u))),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(singleton(ordered_pair(range_of(identity_relation),u)))))),identity_relation)**.
% 299.85/300.46  235082[5:Rew:122711.0,235010.1] ||  -> member(not_subclass_element(u,image(element_relation,union(v,symmetric_difference(universal_class,w)))),power_class(intersection(complement(v),union(w,identity_relation))))* subclass(u,image(element_relation,union(v,symmetric_difference(universal_class,w)))).
% 299.85/300.46  235083[5:Rew:122708.0,235008.1] ||  -> member(not_subclass_element(u,image(element_relation,union(symmetric_difference(universal_class,v),w))),power_class(intersection(union(v,identity_relation),complement(w))))* subclass(u,image(element_relation,union(symmetric_difference(universal_class,v),w))).
% 299.85/300.46  235161[5:Rew:233494.0,235124.2] || member(image(u,identity_relation),universal_class) well_ordering(v,image(u,identity_relation)) -> equal(apply(u,universal_class),identity_relation) member(least(v,apply(u,universal_class)),apply(u,universal_class))*.
% 299.85/300.46  235243[5:Rew:122711.0,235169.2] || well_ordering(u,universal_class) member(least(u,union(v,symmetric_difference(universal_class,w))),intersection(complement(v),union(w,identity_relation)))* -> equal(union(v,symmetric_difference(universal_class,w)),identity_relation).
% 299.85/300.46  235244[5:Rew:122708.0,235167.2] || well_ordering(u,universal_class) member(least(u,union(symmetric_difference(universal_class,v),w)),intersection(union(v,identity_relation),complement(w)))* -> equal(union(symmetric_difference(universal_class,v),w),identity_relation).
% 299.85/300.46  235485[5:SpR:5337.2,233421.0] || member(cross_product(u,v),universal_class) -> equal(cross_product(u,v),identity_relation) member(singleton(first(apply(choice,cross_product(u,v)))),complement(singleton(apply(choice,cross_product(u,v)))))*.
% 299.85/300.46  235699[0:Res:20387.1,21.1] || subclass(rest_relation,rotate(cross_product(universal_class,universal_class))) member(ordered_pair(u,rest_of(ordered_pair(v,u))),v) -> member(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v),element_relation)*.
% 299.85/300.46  235815[0:Res:20388.1,21.1] || subclass(rest_relation,flip(cross_product(universal_class,universal_class))) member(ordered_pair(u,v),rest_of(ordered_pair(v,u))) -> member(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u))),element_relation)*.
% 299.85/300.46  235861[5:SpL:5337.2,235506.0] || member(cross_product(u,v),universal_class) member(singleton(first(apply(choice,cross_product(u,v)))),singleton(apply(choice,cross_product(u,v))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.46  235958[5:Res:5462.2,8083.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(not_subclass_element(regular(union(u,v)),w)),identity_relation)** subclass(regular(union(u,v)),w) equal(union(u,v),identity_relation).
% 299.85/300.46  235929[5:Res:5462.2,29630.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(apply(choice,regular(union(u,v)))),identity_relation)** equal(regular(union(u,v)),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.46  236533[5:Rew:122711.0,236410.1] || member(not_subclass_element(intersection(u,union(v,symmetric_difference(universal_class,w))),x),intersection(complement(v),union(w,identity_relation)))* -> subclass(intersection(u,union(v,symmetric_difference(universal_class,w))),x).
% 299.85/300.46  236534[5:Rew:122708.0,236408.1] || member(not_subclass_element(intersection(u,union(symmetric_difference(universal_class,v),w)),x),intersection(union(v,identity_relation),complement(w)))* -> subclass(intersection(u,union(symmetric_difference(universal_class,v),w)),x).
% 299.85/300.46  236932[5:Rew:122711.0,236783.1] || member(not_subclass_element(intersection(union(u,symmetric_difference(universal_class,v)),w),x),intersection(complement(u),union(v,identity_relation)))* -> subclass(intersection(union(u,symmetric_difference(universal_class,v)),w),x).
% 299.85/300.46  236933[5:Rew:122708.0,236781.1] || member(not_subclass_element(intersection(union(symmetric_difference(universal_class,u),v),w),x),intersection(union(u,identity_relation),complement(v)))* -> subclass(intersection(union(symmetric_difference(universal_class,u),v),w),x).
% 299.85/300.46  237340[5:Res:5580.1,588.0] || member(regular(intersection(u,intersection(v,intersection(complement(w),complement(x))))),union(w,x))* -> equal(intersection(u,intersection(v,intersection(complement(w),complement(x)))),identity_relation).
% 299.85/300.46  237933[5:Res:5581.1,588.0] || member(regular(intersection(u,intersection(intersection(complement(v),complement(w)),x))),union(v,w))* -> equal(intersection(u,intersection(intersection(complement(v),complement(w)),x)),identity_relation).
% 299.85/300.46  238729[5:Res:5605.1,588.0] || member(regular(intersection(intersection(u,intersection(complement(v),complement(w))),x)),union(v,w))* -> equal(intersection(intersection(u,intersection(complement(v),complement(w))),x),identity_relation).
% 299.85/300.46  239523[5:Res:5606.1,588.0] || member(regular(intersection(intersection(intersection(complement(u),complement(v)),w),x)),union(u,v))* -> equal(intersection(intersection(intersection(complement(u),complement(v)),w),x),identity_relation).
% 299.85/300.46  241726[0:SpR:931.0,8335.1] ||  -> subclass(symmetric_difference(complement(intersection(u,inverse(u))),symmetrization_of(u)),v) member(not_subclass_element(symmetric_difference(complement(intersection(u,inverse(u))),symmetrization_of(u)),v),complement(symmetric_difference(u,inverse(u))))*.
% 299.85/300.46  241725[0:SpR:932.0,8335.1] ||  -> subclass(symmetric_difference(complement(intersection(u,singleton(u))),successor(u)),v) member(not_subclass_element(symmetric_difference(complement(intersection(u,singleton(u))),successor(u)),v),complement(symmetric_difference(u,singleton(u))))*.
% 299.85/300.46  242055[0:Res:601.1,8150.0] ||  -> subclass(restrict(symmetric_difference(cross_product(u,v),w),x,y),z) member(not_subclass_element(restrict(symmetric_difference(cross_product(u,v),w),x,y),z),complement(restrict(w,u,v)))*.
% 299.85/300.46  242167[5:SpL:242089.0,60.0] || member(u,range_of(identity_relation)) member(ordered_pair(v,u),cross_product(universal_class,universal_class)) -> member(ordered_pair(v,u),compose(complement(cross_product(image(w,singleton(v)),universal_class)),w))*.
% 299.85/300.46  242162[5:SpL:242089.0,60.0] || member(u,image(v,range_of(identity_relation))) member(ordered_pair(w,u),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,u),compose(v,complement(cross_product(singleton(w),universal_class))))*.
% 299.85/300.46  242328[0:Res:601.1,8147.0] ||  -> subclass(restrict(symmetric_difference(u,cross_product(v,w)),x,y),z) member(not_subclass_element(restrict(symmetric_difference(u,cross_product(v,w)),x,y),z),complement(restrict(u,v,w)))*.
% 299.85/300.46  242438[5:Res:5343.1,756.0] ||  -> equal(restrict(cantor(restrict(u,v,singleton(w))),x,y),identity_relation) member(regular(restrict(cantor(restrict(u,v,singleton(w))),x,y)),segment(u,v,w))*.
% 299.85/300.46  242536[5:SpR:9097.0,5588.1] ||  -> equal(cantor(restrict(cross_product(u,singleton(v)),w,x)),identity_relation) member(regular(cantor(restrict(cross_product(u,singleton(v)),w,x))),segment(cross_product(w,x),u,v))*.
% 299.85/300.46  242592[0:Rew:9097.0,242579.1] || member(not_subclass_element(u,segment(cross_product(v,w),x,y)),cantor(restrict(cross_product(x,singleton(y)),v,w)))* -> subclass(u,segment(cross_product(v,w),x,y)).
% 299.85/300.46  244672[21:Res:5343.1,243787.1] || member(regular(restrict(complement(compose(complement(element_relation),inverse(element_relation))),u,v)),cross_product(universal_class,universal_class))* -> equal(restrict(complement(compose(complement(element_relation),inverse(element_relation))),u,v),identity_relation).
% 299.85/300.46  247295[0:SpL:21037.0,2609.2] || member(u,union(complement(v),complement(singleton(v))))* member(u,successor(v)) subclass(symmetric_difference(complement(v),complement(singleton(v))),w)* -> member(u,w)*.
% 299.85/300.46  248585[0:SpL:21036.0,2609.2] || member(u,union(complement(v),complement(inverse(v))))* member(u,symmetrization_of(v)) subclass(symmetric_difference(complement(v),complement(inverse(v))),w)* -> member(u,w)*.
% 299.85/300.46  249329[5:Rew:249197.0,246603.1] || subclass(omega,image(element_relation,union(u,image(element_relation,power_class(v))))) member(w,power_class(intersection(complement(u),power_class(complement(power_class(v))))))* -> equal(integer_of(w),identity_relation).
% 299.85/300.46  249378[0:Rew:249197.0,246412.0] ||  -> subclass(complement(symmetrization_of(intersection(complement(u),power_class(complement(power_class(v)))))),intersection(union(u,image(element_relation,power_class(v))),complement(inverse(intersection(complement(u),power_class(complement(power_class(v))))))))*.
% 299.85/300.46  249382[0:Rew:249197.0,246410.0] ||  -> subclass(complement(successor(intersection(complement(u),power_class(complement(power_class(v)))))),intersection(union(u,image(element_relation,power_class(v))),complement(singleton(intersection(complement(u),power_class(complement(power_class(v))))))))*.
% 299.85/300.46  249389[0:Rew:249197.0,246762.0] ||  -> member(not_subclass_element(complement(union(u,image(element_relation,power_class(v)))),w),intersection(complement(u),power_class(complement(power_class(v)))))* subclass(complement(union(u,image(element_relation,power_class(v)))),w).
% 299.85/300.46  249703[5:Rew:249197.0,246177.1] || subclass(omega,image(element_relation,union(image(element_relation,power_class(u)),v))) member(w,power_class(intersection(power_class(complement(power_class(u))),complement(v))))* -> equal(integer_of(w),identity_relation).
% 299.85/300.46  249752[0:Rew:249197.0,245987.0] ||  -> subclass(complement(symmetrization_of(intersection(power_class(complement(power_class(u))),complement(v)))),intersection(union(image(element_relation,power_class(u)),v),complement(inverse(intersection(power_class(complement(power_class(u))),complement(v))))))*.
% 299.85/300.46  249756[0:Rew:249197.0,245985.0] ||  -> subclass(complement(successor(intersection(power_class(complement(power_class(u))),complement(v)))),intersection(union(image(element_relation,power_class(u)),v),complement(singleton(intersection(power_class(complement(power_class(u))),complement(v))))))*.
% 299.85/300.46  249763[0:Rew:249197.0,246333.0] ||  -> member(not_subclass_element(complement(union(image(element_relation,power_class(u)),v)),w),intersection(power_class(complement(power_class(u))),complement(v)))* subclass(complement(union(image(element_relation,power_class(u)),v)),w).
% 299.85/300.46  250053[0:Rew:249197.0,244978.0] ||  -> subclass(complement(symmetrization_of(intersection(power_class(u),complement(inverse(complement(power_class(u))))))),intersection(symmetrization_of(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))))*.
% 299.85/300.46  250057[0:Rew:249197.0,244976.0] ||  -> subclass(complement(successor(intersection(power_class(u),complement(inverse(complement(power_class(u))))))),intersection(symmetrization_of(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))))*.
% 299.85/300.46  250178[0:Rew:249197.0,245391.0] ||  -> subclass(complement(symmetrization_of(intersection(power_class(u),complement(singleton(complement(power_class(u))))))),intersection(successor(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))))*.
% 299.85/300.46  250182[0:Rew:249197.0,245389.0] ||  -> subclass(complement(successor(intersection(power_class(u),complement(singleton(complement(power_class(u))))))),intersection(successor(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))))*.
% 299.85/300.46  251153[0:Rew:249197.0,249386.1] || subclass(intersection(complement(u),power_class(complement(power_class(v)))),w) -> subclass(symmetric_difference(w,intersection(complement(u),power_class(complement(power_class(v))))),union(u,image(element_relation,power_class(v))))*.
% 299.85/300.46  251155[0:Rew:249197.0,249508.1] || member(not_subclass_element(intersection(u,symmetrization_of(complement(power_class(v)))),w),intersection(power_class(v),complement(inverse(complement(power_class(v))))))* -> subclass(intersection(u,symmetrization_of(complement(power_class(v)))),w).
% 299.85/300.46  251156[5:Rew:249197.0,249509.2] || well_ordering(u,universal_class) member(least(u,symmetrization_of(complement(power_class(v)))),intersection(power_class(v),complement(inverse(complement(power_class(v))))))* -> equal(symmetrization_of(complement(power_class(v))),identity_relation).
% 299.85/300.46  251157[0:Rew:249197.0,249524.1] || member(not_subclass_element(intersection(u,successor(complement(power_class(v)))),w),intersection(power_class(v),complement(singleton(complement(power_class(v))))))* -> subclass(intersection(u,successor(complement(power_class(v)))),w).
% 299.85/300.46  251158[5:Rew:249197.0,249525.2] || well_ordering(u,universal_class) member(least(u,successor(complement(power_class(v)))),intersection(power_class(v),complement(singleton(complement(power_class(v))))))* -> equal(successor(complement(power_class(v))),identity_relation).
% 299.85/300.46  251159[0:Rew:249197.0,249760.1] || subclass(intersection(power_class(complement(power_class(u))),complement(v)),w) -> subclass(symmetric_difference(w,intersection(power_class(complement(power_class(u))),complement(v))),union(image(element_relation,power_class(u)),v))*.
% 299.85/300.46  251161[3:Rew:249197.0,249842.1] inductive(power_class(image(element_relation,complement(u)))) || well_ordering(v,power_class(complement(power_class(u)))) member(least(v,power_class(complement(power_class(u)))),image(element_relation,power_class(u)))* -> .
% 299.85/300.46  251171[5:Rew:249197.0,250027.2,249197.0,250027.0] || subclass(omega,intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> equal(integer_of(not_subclass_element(symmetrization_of(complement(power_class(u))),v)),identity_relation)** subclass(symmetrization_of(complement(power_class(u))),v).
% 299.85/300.46  251172[0:Rew:249197.0,250030.0] || member(not_subclass_element(intersection(symmetrization_of(complement(power_class(u))),v),w),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> subclass(intersection(symmetrization_of(complement(power_class(u))),v),w).
% 299.85/300.46  251173[0:Rew:249197.0,250060.1] || subclass(intersection(power_class(u),complement(inverse(complement(power_class(u))))),v) -> subclass(symmetric_difference(v,intersection(power_class(u),complement(inverse(complement(power_class(u)))))),symmetrization_of(complement(power_class(u))))*.
% 299.85/300.46  251174[5:Rew:249197.0,250152.2,249197.0,250152.0] || subclass(omega,intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> equal(integer_of(not_subclass_element(successor(complement(power_class(u))),v)),identity_relation)** subclass(successor(complement(power_class(u))),v).
% 299.85/300.46  251175[0:Rew:249197.0,250155.0] || member(not_subclass_element(intersection(successor(complement(power_class(u))),v),w),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> subclass(intersection(successor(complement(power_class(u))),v),w).
% 299.85/300.46  251176[0:Rew:249197.0,250185.1] || subclass(intersection(power_class(u),complement(singleton(complement(power_class(u))))),v) -> subclass(symmetric_difference(v,intersection(power_class(u),complement(singleton(complement(power_class(u)))))),successor(complement(power_class(u))))*.
% 299.85/300.46  252297[3:Rew:251760.0,249577.2] inductive(complement(power_class(image(element_relation,complement(u))))) || well_ordering(v,image(element_relation,power_class(u))) -> member(least(v,image(element_relation,power_class(u))),image(element_relation,power_class(u)))*.
% 299.85/300.46  253582[5:Rew:253274.0,253548.2] || member(complement(power_class(universal_class)),universal_class) well_ordering(u,complement(power_class(universal_class))) -> equal(apply(element_relation,universal_class),identity_relation) member(least(u,apply(element_relation,universal_class)),apply(element_relation,universal_class))*.
% 299.85/300.46  253884[17:Res:195285.2,126.0] || member(u,universal_class) equal(compose(v,u),identity_relation)** subclass(compose_class(v),w)* well_ordering(x,w)* -> member(least(x,compose_class(v)),compose_class(v))*.
% 299.85/300.46  254770[0:MRR:254722.0,176.0] || member(image(element_relation,power_class(u)),universal_class) -> member(singleton(image(element_relation,power_class(u))),power_class(complement(power_class(u))))* member(singleton(singleton(singleton(image(element_relation,power_class(u))))),element_relation).
% 299.85/300.46  256146[5:Res:5462.2,8097.1] || subclass(omega,symmetric_difference(u,v)) subclass(w,regular(union(u,v)))* -> equal(integer_of(regular(w)),identity_relation) equal(w,identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.46  256885[5:Res:5343.1,251410.0] || member(regular(restrict(intersection(power_class(u),complement(v)),w,x)),union(complement(power_class(u)),v))* -> equal(restrict(intersection(power_class(u),complement(v)),w,x),identity_relation).
% 299.85/300.46  257077[5:Res:5343.1,251419.0] || member(regular(restrict(intersection(complement(u),power_class(v)),w,x)),union(u,complement(power_class(v))))* -> equal(restrict(intersection(complement(u),power_class(v)),w,x),identity_relation).
% 299.85/300.46  257211[0:Res:122671.0,20569.2] || member(not_subclass_element(u,complement(union(v,w))),complement(w))* member(not_subclass_element(u,complement(union(v,w))),complement(v))* -> subclass(u,complement(union(v,w))).
% 299.85/300.46  257208[0:Res:780.2,20569.2] || member(u,universal_class) subclass(rest_relation,union(v,w))* member(ordered_pair(u,rest_of(u)),complement(w))* member(ordered_pair(u,rest_of(u)),complement(v))* -> .
% 299.85/300.46  257543[5:Rew:47789.0,257421.3] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(not_subclass_element(regular(ordered_pair(u,v)),omega),singleton(v))** equal(integer_of(u),identity_relation) subclass(regular(ordered_pair(u,v)),omega).
% 299.85/300.46  257544[5:Rew:47789.0,257420.3] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) equal(not_subclass_element(regular(ordered_pair(u,v)),omega),u)** equal(integer_of(singleton(v)),identity_relation) subclass(regular(ordered_pair(u,v)),omega).
% 299.85/300.46  257771[5:SpR:32674.2,3389.1] || equal(u,v) member(image(choice,singleton(unordered_pair(v,u))),universal_class)* -> equal(unordered_pair(v,u),identity_relation) subclass(v,image(choice,singleton(unordered_pair(v,u))))*.
% 299.85/300.46  258074[5:Res:8059.2,249201.0] || well_ordering(u,universal_class) member(least(u,intersection(image(element_relation,power_class(v)),w)),power_class(complement(power_class(v))))* -> equal(intersection(image(element_relation,power_class(v)),w),identity_relation).
% 299.85/300.46  258057[5:Res:8059.2,8157.0] || well_ordering(u,universal_class) -> equal(intersection(symmetric_difference(complement(v),complement(w)),x),identity_relation) member(least(u,intersection(symmetric_difference(complement(v),complement(w)),x)),union(v,w))*.
% 299.85/300.46  258268[5:Res:8060.2,249201.0] || well_ordering(u,universal_class) member(least(u,intersection(v,image(element_relation,power_class(w)))),power_class(complement(power_class(w))))* -> equal(intersection(v,image(element_relation,power_class(w))),identity_relation).
% 299.85/300.46  258251[5:Res:8060.2,8157.0] || well_ordering(u,universal_class) -> equal(intersection(v,symmetric_difference(complement(w),complement(x))),identity_relation) member(least(u,intersection(v,symmetric_difference(complement(w),complement(x)))),union(w,x))*.
% 299.85/300.46  258360[5:Res:8057.3,18.0] || well_ordering(u,universal_class) subclass(v,cross_product(w,x))* -> equal(v,identity_relation) equal(ordered_pair(first(least(u,v)),second(least(u,v))),least(u,v))**.
% 299.85/300.46  258554[0:SpL:938.0,8164.1] || member(u,symmetric_difference(complement(restrict(v,w,x)),union(v,cross_product(w,x))))* subclass(complement(symmetric_difference(v,cross_product(w,x))),y)* -> member(u,y)*.
% 299.85/300.46  258553[0:SpL:939.0,8164.1] || member(u,symmetric_difference(complement(restrict(v,w,x)),union(cross_product(w,x),v)))* subclass(complement(symmetric_difference(cross_product(w,x),v)),y)* -> member(u,y)*.
% 299.85/300.46  259223[5:SpL:2089.1,256435.0] || subclass(not_subclass_element(cross_product(u,v),w),unordered_pair(first(not_subclass_element(cross_product(u,v),w)),singleton(second(not_subclass_element(cross_product(u,v),w)))))* -> subclass(cross_product(u,v),w).
% 299.85/300.46  259377[5:Res:30856.1,5336.0] || member(regular(union(u,v)),union(complement(u),complement(v))) -> member(regular(union(u,v)),symmetric_difference(complement(u),complement(v)))* equal(union(u,v),identity_relation).
% 299.85/300.46  259284[0:SpR:160.0,30856.1] || member(u,union(complement(intersection(v,w)),union(v,w))) -> member(u,symmetric_difference(v,w)) member(u,symmetric_difference(complement(intersection(v,w)),union(v,w)))*.
% 299.85/300.46  259568[5:Rew:47789.0,259532.2] || equal(singleton(u),v) -> equal(regular(ordered_pair(v,u)),singleton(v)) subclass(regular(ordered_pair(v,u)),w) equal(not_subclass_element(regular(ordered_pair(v,u)),w),v)**.
% 299.85/300.46  259686[5:Rew:47789.0,259656.3] || member(singleton(u),v) -> equal(regular(ordered_pair(w,u)),singleton(w)) equal(not_subclass_element(regular(ordered_pair(w,u)),v),w)** subclass(regular(ordered_pair(w,u)),v).
% 299.85/300.46  259797[5:Rew:47789.0,259766.3] || member(u,v) -> equal(regular(ordered_pair(u,w)),singleton(u)) equal(not_subclass_element(regular(ordered_pair(u,w)),v),singleton(w))** subclass(regular(ordered_pair(u,w)),v).
% 299.85/300.46  260131[4:Res:3389.1,8430.0] || member(image(u,singleton(v)),universal_class) subclass(image(u,singleton(v)),w) -> subclass(apply(u,v),x) member(not_subclass_element(apply(u,v),x),w)*.
% 299.85/300.46  260912[0:Res:8216.1,249201.0] || member(not_subclass_element(intersection(u,intersection(v,image(element_relation,power_class(w)))),x),power_class(complement(power_class(w))))* -> subclass(intersection(u,intersection(v,image(element_relation,power_class(w)))),x).
% 299.85/300.46  260895[0:Res:8216.1,8157.0] ||  -> subclass(intersection(u,intersection(v,symmetric_difference(complement(w),complement(x)))),y) member(not_subclass_element(intersection(u,intersection(v,symmetric_difference(complement(w),complement(x)))),y),union(w,x))*.
% 299.85/300.46  261482[0:Res:8215.1,249201.0] || member(not_subclass_element(intersection(u,intersection(image(element_relation,power_class(v)),w)),x),power_class(complement(power_class(v))))* -> subclass(intersection(u,intersection(image(element_relation,power_class(v)),w)),x).
% 299.85/300.46  261465[0:Res:8215.1,8157.0] ||  -> subclass(intersection(u,intersection(symmetric_difference(complement(v),complement(w)),x)),y) member(not_subclass_element(intersection(u,intersection(symmetric_difference(complement(v),complement(w)),x)),y),union(v,w))*.
% 299.85/300.46  262386[0:Res:8310.1,249201.0] || member(not_subclass_element(intersection(intersection(u,image(element_relation,power_class(v))),w),x),power_class(complement(power_class(v))))* -> subclass(intersection(intersection(u,image(element_relation,power_class(v))),w),x).
% 299.85/300.46  262369[0:Res:8310.1,8157.0] ||  -> subclass(intersection(intersection(u,symmetric_difference(complement(v),complement(w))),x),y) member(not_subclass_element(intersection(intersection(u,symmetric_difference(complement(v),complement(w))),x),y),union(v,w))*.
% 299.85/300.46  263077[0:Res:8309.1,249201.0] || member(not_subclass_element(intersection(intersection(image(element_relation,power_class(u)),v),w),x),power_class(complement(power_class(u))))* -> subclass(intersection(intersection(image(element_relation,power_class(u)),v),w),x).
% 299.85/300.46  263060[0:Res:8309.1,8157.0] ||  -> subclass(intersection(intersection(symmetric_difference(complement(u),complement(v)),w),x),y) member(not_subclass_element(intersection(intersection(symmetric_difference(complement(u),complement(v)),w),x),y),union(u,v))*.
% 299.85/300.46  263584[0:Res:9102.1,8.0] || section(cross_product(u,v),w,x) subclass(w,domain_of(restrict(cross_product(x,w),u,v)))* -> equal(domain_of(restrict(cross_product(x,w),u,v)),w).
% 299.85/300.46  265234[5:Res:263560.1,3705.2] || equal(complement(u),identity_relation) member(v,w)* member(v,x)* well_ordering(y,u)* -> member(least(y,intersection(x,w)),intersection(x,w))*.
% 299.85/300.46  265231[5:Res:263560.1,3714.2] || equal(complement(u),identity_relation) member(v,w)* member(x,y)* well_ordering(z,u)* -> member(least(z,cross_product(y,w)),cross_product(y,w))*.
% 299.85/300.46  265524[5:Res:28995.3,596.0] function(restrict(u,v,w)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(restrict(u,v,w),identity_relation) member(least(element_relation,restrict(u,v,w)),u)*.
% 299.85/300.46  265501[5:Res:28995.3,8165.1] function(intersection(u,v)) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,intersection(u,v)),symmetric_difference(u,v))* -> equal(intersection(u,v),identity_relation).
% 299.85/300.46  265923[0:SpR:252738.0,8441.2] || subclass(u,symmetric_difference(image(element_relation,power_class(v)),complement(power_class(w)))) -> subclass(u,x) member(not_subclass_element(u,x),complement(intersection(power_class(complement(power_class(v))),power_class(w))))*.
% 299.85/300.46  265922[0:SpR:252738.0,7615.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(image(element_relation,power_class(v)),complement(power_class(w)))) -> member(sum_class(u),complement(intersection(power_class(complement(power_class(v))),power_class(w))))*.
% 299.85/300.46  265921[0:SpR:252738.0,7580.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(image(element_relation,power_class(v)),complement(power_class(w)))) -> member(power_class(u),complement(intersection(power_class(complement(power_class(v))),power_class(w))))*.
% 299.85/300.46  266263[0:SpR:253065.0,8441.2] || subclass(u,symmetric_difference(complement(power_class(v)),image(element_relation,power_class(w)))) -> subclass(u,x) member(not_subclass_element(u,x),complement(intersection(power_class(v),power_class(complement(power_class(w))))))*.
% 299.85/300.46  266262[0:SpR:253065.0,7615.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(power_class(v)),image(element_relation,power_class(w)))) -> member(sum_class(u),complement(intersection(power_class(v),power_class(complement(power_class(w))))))*.
% 299.85/300.46  266261[0:SpR:253065.0,7580.2] || member(u,universal_class) subclass(universal_class,symmetric_difference(complement(power_class(v)),image(element_relation,power_class(w)))) -> member(power_class(u),complement(intersection(power_class(v),power_class(complement(power_class(w))))))*.
% 299.85/300.46  266806[3:Res:28041.2,123566.0] inductive(u) || well_ordering(v,universal_class) -> equal(ordered_pair(first(ordered_pair(least(v,u),omega)),second(ordered_pair(least(v,u),omega))),ordered_pair(least(v,u),omega))**.
% 299.85/300.46  266805[3:Res:28061.2,123566.0] inductive(u) || well_ordering(v,u) -> equal(ordered_pair(first(ordered_pair(least(v,u),omega)),second(ordered_pair(least(v,u),omega))),ordered_pair(least(v,u),omega))**.
% 299.85/300.46  266798[5:Res:5404.2,123566.0] || well_ordering(u,universal_class) -> equal(v,identity_relation) equal(ordered_pair(first(ordered_pair(least(u,v),omega)),second(ordered_pair(least(u,v),omega))),ordered_pair(least(u,v),omega))**.
% 299.85/300.46  266797[5:Res:5403.2,123566.0] || well_ordering(u,v) -> equal(v,identity_relation) equal(ordered_pair(first(ordered_pair(least(u,v),omega)),second(ordered_pair(least(u,v),omega))),ordered_pair(least(u,v),omega))**.
% 299.85/300.46  266722[11:Res:207952.1,123566.0] || equal(identity_relation,u) -> equal(ordered_pair(first(ordered_pair(regular(complement(power_class(u))),omega)),second(ordered_pair(regular(complement(power_class(u))),omega))),ordered_pair(regular(complement(power_class(u))),omega))**.
% 299.85/300.46  266610[5:Res:5216.2,123566.0] || member(u,universal_class) -> equal(u,identity_relation) equal(ordered_pair(first(ordered_pair(apply(choice,u),omega)),second(ordered_pair(apply(choice,u),omega))),ordered_pair(apply(choice,u),omega))**.
% 299.85/300.46  266591[0:Res:66.2,123566.0] function(u) || member(v,universal_class) -> equal(ordered_pair(first(ordered_pair(image(u,v),omega)),second(ordered_pair(image(u,v),omega))),ordered_pair(image(u,v),omega))**.
% 299.85/300.46  267012[5:MRR:266961.0,55.1] || member(u,universal_class) subclass(universal_class,regular(intersection(complement(v),complement(w))))* -> member(sum_class(u),union(v,w))* equal(intersection(complement(v),complement(w)),identity_relation).
% 299.85/300.46  267055[5:Res:262110.0,5215.0] || well_ordering(u,complement(inverse(identity_relation))) -> equal(intersection(v,complement(symmetrization_of(identity_relation))),identity_relation) member(least(u,intersection(v,complement(symmetrization_of(identity_relation)))),intersection(v,complement(symmetrization_of(identity_relation))))*.
% 299.85/300.46  267054[5:Res:262110.0,3692.1] inductive(intersection(u,complement(symmetrization_of(identity_relation)))) || well_ordering(v,complement(inverse(identity_relation))) -> member(least(v,intersection(u,complement(symmetrization_of(identity_relation)))),intersection(u,complement(symmetrization_of(identity_relation))))*.
% 299.85/300.46  267149[5:MRR:267085.0,57.1] || member(u,universal_class) subclass(universal_class,regular(intersection(complement(v),complement(w))))* -> member(power_class(u),union(v,w))* equal(intersection(complement(v),complement(w)),identity_relation).
% 299.85/300.46  267273[5:Res:263697.0,5215.0] || well_ordering(u,complement(inverse(identity_relation))) -> equal(intersection(complement(symmetrization_of(identity_relation)),v),identity_relation) member(least(u,intersection(complement(symmetrization_of(identity_relation)),v)),intersection(complement(symmetrization_of(identity_relation)),v))*.
% 299.85/300.46  267272[5:Res:263697.0,3692.1] inductive(intersection(complement(symmetrization_of(identity_relation)),u)) || well_ordering(v,complement(inverse(identity_relation))) -> member(least(v,intersection(complement(symmetrization_of(identity_relation)),u)),intersection(complement(symmetrization_of(identity_relation)),u))*.
% 299.85/300.46  268296[5:Res:263822.0,5215.0] || well_ordering(u,symmetric_difference(universal_class,v)) -> equal(symmetric_difference(universal_class,union(v,identity_relation)),identity_relation) member(least(u,symmetric_difference(universal_class,union(v,identity_relation))),symmetric_difference(universal_class,union(v,identity_relation)))*.
% 299.85/300.46  268295[5:Res:263822.0,3692.1] inductive(symmetric_difference(universal_class,union(u,identity_relation))) || well_ordering(v,symmetric_difference(universal_class,u)) -> member(least(v,symmetric_difference(universal_class,union(u,identity_relation))),symmetric_difference(universal_class,union(u,identity_relation)))*.
% 299.85/300.46  268434[5:Res:264364.0,5215.0] || well_ordering(u,union(v,identity_relation)) -> equal(complement(successor(symmetric_difference(universal_class,v))),identity_relation) member(least(u,complement(successor(symmetric_difference(universal_class,v)))),complement(successor(symmetric_difference(universal_class,v))))*.
% 299.85/300.46  268433[5:Res:264364.0,3692.1] inductive(complement(successor(symmetric_difference(universal_class,u)))) || well_ordering(v,union(u,identity_relation)) -> member(least(v,complement(successor(symmetric_difference(universal_class,u)))),complement(successor(symmetric_difference(universal_class,u))))*.
% 299.85/300.46  268674[5:Res:25231.1,126.0] || subclass(union(u,v),w)* well_ordering(x,w)* -> equal(symmetric_difference(complement(u),complement(v)),identity_relation) member(least(x,union(u,v)),union(u,v))*.
% 299.85/300.46  269325[5:Res:264418.0,5215.0] || well_ordering(u,union(v,identity_relation)) -> equal(complement(symmetrization_of(symmetric_difference(universal_class,v))),identity_relation) member(least(u,complement(symmetrization_of(symmetric_difference(universal_class,v)))),complement(symmetrization_of(symmetric_difference(universal_class,v))))*.
% 299.85/300.46  269324[5:Res:264418.0,3692.1] inductive(complement(symmetrization_of(symmetric_difference(universal_class,u)))) || well_ordering(v,union(u,identity_relation)) -> member(least(v,complement(symmetrization_of(symmetric_difference(universal_class,u)))),complement(symmetrization_of(symmetric_difference(universal_class,u))))*.
% 299.85/300.46  269622[5:Res:8057.3,7532.1] || well_ordering(u,universal_class) subclass(v,power_class(intersection(complement(w),complement(x)))) member(least(u,v),image(element_relation,union(w,x)))* -> equal(v,identity_relation).
% 299.85/300.46  269616[0:Res:8307.2,7532.1] || subclass(u,power_class(intersection(complement(v),complement(w)))) member(not_subclass_element(intersection(u,x),y),image(element_relation,union(v,w)))* -> subclass(intersection(u,x),y).
% 299.85/300.46  269612[0:Res:8213.2,7532.1] || subclass(u,power_class(intersection(complement(v),complement(w)))) member(not_subclass_element(intersection(x,u),y),image(element_relation,union(v,w)))* -> subclass(intersection(x,u),y).
% 299.85/300.46  269586[0:Res:827.3,7532.1] function(u) || member(v,universal_class) subclass(universal_class,power_class(intersection(complement(w),complement(x)))) member(image(u,v),image(element_relation,union(w,x)))* -> .
% 299.85/300.46  269580[5:Res:5329.3,7532.1] || member(u,universal_class) subclass(u,power_class(intersection(complement(v),complement(w)))) member(apply(choice,u),image(element_relation,union(v,w)))* -> equal(u,identity_relation).
% 299.85/300.46  270221[0:SpL:251233.0,8164.1] || member(u,symmetric_difference(union(complement(power_class(v)),w),union(power_class(v),complement(w))))* subclass(complement(symmetric_difference(power_class(v),complement(w))),x)* -> member(u,x)*.
% 299.85/300.46  270696[0:SpL:251244.0,588.0] || member(u,intersection(complement(v),union(intersection(power_class(w),complement(x)),y)))* member(u,union(v,intersection(union(complement(power_class(w)),x),complement(y)))) -> .
% 299.85/300.46  270679[0:SpL:251244.0,588.0] || member(u,intersection(union(intersection(power_class(v),complement(w)),x),complement(y)))* member(u,union(intersection(union(complement(power_class(v)),w),complement(x)),y)) -> .
% 299.85/300.46  270677[0:SpL:251244.0,149331.0] || subclass(universal_class,intersection(complement(u),union(intersection(power_class(v),complement(w)),x))) member(omega,union(u,intersection(union(complement(power_class(v)),w),complement(x))))* -> .
% 299.85/300.46  270631[0:SpL:251244.0,149331.0] || subclass(universal_class,intersection(union(intersection(power_class(u),complement(v)),w),complement(x))) member(omega,union(intersection(union(complement(power_class(u)),v),complement(w)),x))* -> .
% 299.85/300.46  270449[0:SpR:251244.0,222089.0] ||  -> equal(intersection(intersection(union(complement(power_class(u)),v),complement(w)),complement(union(intersection(power_class(u),complement(v)),w))),complement(union(intersection(power_class(u),complement(v)),w)))**.
% 299.85/300.46  270772[5:Rew:251244.0,270643.1] || subclass(union(intersection(power_class(u),complement(v)),w),intersection(union(complement(power_class(u)),v),complement(w)))* -> equal(union(intersection(power_class(u),complement(v)),w),identity_relation).
% 299.85/300.46  270773[5:Rew:251244.0,270634.1] || subclass(intersection(union(complement(power_class(u)),v),complement(w)),union(intersection(power_class(u),complement(v)),w))* -> subclass(universal_class,union(intersection(power_class(u),complement(v)),w)).
% 299.85/300.46  270774[5:Rew:251244.0,270501.1] ||  -> member(union(intersection(power_class(u),complement(v)),w),intersection(union(complement(power_class(u)),v),complement(w)))* equal(singleton(union(intersection(power_class(u),complement(v)),w)),identity_relation).
% 299.85/300.46  47865[0:SpL:930.0,8165.1] || member(u,symmetric_difference(complement(symmetric_difference(v,w)),union(complement(intersection(v,w)),union(v,w))))* member(u,symmetric_difference(complement(intersection(v,w)),union(v,w))) -> .
% 299.85/300.46  35054[0:SpR:930.0,943.1] || member(u,symmetric_difference(complement(symmetric_difference(v,w)),union(complement(intersection(v,w)),union(v,w))))* -> member(u,complement(symmetric_difference(complement(intersection(v,w)),union(v,w)))).
% 299.85/300.46  120732[0:Rew:119609.0,120710.2] || transitive(universal_class,u) subclass(cross_product(u,u),compose(cross_product(u,u),cross_product(u,u)))* -> equal(compose(cross_product(u,u),cross_product(u,u)),cross_product(u,u)).
% 299.85/300.46  116838[0:Res:3654.2,8157.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(complement(w),complement(x))) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),union(w,x))*.
% 299.85/300.46  114797[0:Res:3654.2,776.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cantor(w)) subclass(domain_of(w),x)* -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),x)*.
% 299.85/300.46  29434[0:SpL:938.0,2609.2] || member(u,union(v,cross_product(w,x)))* member(u,complement(restrict(v,w,x))) subclass(symmetric_difference(v,cross_product(w,x)),y)* -> member(u,y)*.
% 299.85/300.46  29435[0:SpL:939.0,2609.2] || member(u,union(cross_product(v,w),x))* member(u,complement(restrict(x,v,w))) subclass(symmetric_difference(cross_product(v,w),x),y)* -> member(u,y)*.
% 299.85/300.46  118185[0:Rew:941.0,118113.1] || member(not_subclass_element(union(complement(u),complement(v)),symmetric_difference(complement(u),complement(v))),union(u,v))* -> subclass(union(complement(u),complement(v)),symmetric_difference(complement(u),complement(v))).
% 299.85/300.46  118133[0:Res:24.2,34675.0] || member(not_subclass_element(u,intersection(intersection(v,w),u)),w)* member(not_subclass_element(u,intersection(intersection(v,w),u)),v)* -> subclass(u,intersection(intersection(v,w),u)).
% 299.85/300.46  117117[0:MRR:117083.0,29469.1] || member(not_subclass_element(u,intersection(v,union(w,x))),v)* -> member(not_subclass_element(u,intersection(v,union(w,x))),complement(x))* subclass(u,intersection(v,union(w,x))).
% 299.85/300.46  116730[0:MRR:116704.0,29469.1] || member(not_subclass_element(u,intersection(v,union(w,x))),v)* -> member(not_subclass_element(u,intersection(v,union(w,x))),complement(w))* subclass(u,intersection(v,union(w,x))).
% 299.85/300.46  30821[0:Res:3.1,2599.1] || member(not_subclass_element(complement(intersection(u,v)),w),union(u,v)) -> subclass(complement(intersection(u,v)),w) member(not_subclass_element(complement(intersection(u,v)),w),symmetric_difference(u,v))*.
% 299.85/300.46  36378[0:SpL:2089.1,146.0] || member(not_subclass_element(cross_product(u,v),w),rest_relation) -> subclass(cross_product(u,v),w) equal(rest_of(first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.46  36366[0:SpL:2089.1,100.0] || member(not_subclass_element(cross_product(u,v),w),domain_relation) -> subclass(cross_product(u,v),w) equal(domain_of(first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.46  36380[0:SpL:2089.1,46.0] || member(not_subclass_element(cross_product(u,v),w),successor_relation) -> subclass(cross_product(u,v),w) equal(successor(first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.46  34669[5:Res:29487.1,2612.0] || member(not_subclass_element(u,intersection(v,compose(element_relation,universal_class))),element_relation)* member(not_subclass_element(u,intersection(v,compose(element_relation,universal_class))),v)* -> subclass(u,intersection(v,compose(element_relation,universal_class))).
% 299.85/300.46  51988[5:Res:24.2,8090.0] || member(regular(regular(intersection(u,v))),v)* member(regular(regular(intersection(u,v))),u)* -> equal(regular(intersection(u,v)),identity_relation) equal(intersection(u,v),identity_relation).
% 299.85/300.46  34022[5:SpL:5338.1,143.0] || member(regular(cross_product(u,v)),rest_of(w)) -> equal(cross_product(u,v),identity_relation) equal(restrict(w,first(regular(cross_product(u,v))),universal_class),second(regular(cross_product(u,v))))**.
% 299.85/300.46  34050[5:SpL:5338.1,97.0] || member(ordered_pair(u,regular(cross_product(v,w))),composition_function)* -> equal(cross_product(v,w),identity_relation) equal(compose(u,first(regular(cross_product(v,w)))),second(regular(cross_product(v,w)))).
% 299.85/300.46  28256[5:Res:2603.2,5233.0] || member(regular(complement(restrict(u,v,w))),cross_product(v,w))* member(regular(complement(restrict(u,v,w))),u)* -> equal(complement(restrict(u,v,w)),identity_relation).
% 299.85/300.46  27982[5:Res:5295.1,1043.0] ||  -> equal(intersection(u,ordered_pair(v,w)),identity_relation) equal(regular(intersection(u,ordered_pair(v,w))),unordered_pair(v,singleton(w)))** equal(regular(intersection(u,ordered_pair(v,w))),singleton(v)).
% 299.85/300.46  27973[5:Res:5294.1,1043.0] ||  -> equal(intersection(ordered_pair(u,v),w),identity_relation) equal(regular(intersection(ordered_pair(u,v),w)),unordered_pair(u,singleton(v)))** equal(regular(intersection(ordered_pair(u,v),w)),singleton(u)).
% 299.85/300.46  163204[5:Res:146432.1,3714.2] || equal(sum_class(u),universal_class) member(v,w)* member(x,y)* well_ordering(z,sum_class(u))* -> member(least(z,cross_product(y,w)),cross_product(y,w))*.
% 299.85/300.46  163645[5:Res:163531.1,3714.2] || equal(power_class(u),universal_class) member(v,w)* member(x,y)* well_ordering(z,power_class(u))* -> member(least(z,cross_product(y,w)),cross_product(y,w))*.
% 299.85/300.46  163512[5:Res:162500.1,3714.2] || equal(complement(u),universal_class) member(v,w)* member(x,y)* well_ordering(z,complement(u))* -> member(least(z,cross_product(y,w)),cross_product(y,w))*.
% 299.85/300.46  163206[5:Res:146436.1,3714.2] || equal(inverse(u),universal_class) member(v,w)* member(x,y)* well_ordering(z,inverse(u))* -> member(least(z,cross_product(y,w)),cross_product(y,w))*.
% 299.85/300.46  146469[5:Res:146432.1,3705.2] || equal(sum_class(u),universal_class) member(v,w)* member(v,x)* well_ordering(y,sum_class(u))* -> member(least(y,intersection(x,w)),intersection(x,w))*.
% 299.85/300.46  163647[5:Res:163531.1,3705.2] || equal(power_class(u),universal_class) member(v,w)* member(v,x)* well_ordering(y,power_class(u))* -> member(least(y,intersection(x,w)),intersection(x,w))*.
% 299.85/300.46  163515[5:Res:162500.1,3705.2] || equal(complement(u),universal_class) member(v,w)* member(v,x)* well_ordering(y,complement(u))* -> member(least(y,intersection(x,w)),intersection(x,w))*.
% 299.85/300.46  146526[5:Res:146436.1,3705.2] || equal(inverse(u),universal_class) member(v,w)* member(v,x)* well_ordering(y,inverse(u))* -> member(least(y,intersection(x,w)),intersection(x,w))*.
% 299.85/300.46  37450[0:Res:7.1,3705.2] || equal(u,intersection(v,w))* member(x,w)* member(x,v)* well_ordering(y,u)* -> member(least(y,intersection(v,w)),intersection(v,w))*.
% 299.85/300.46  183476[5:Res:780.2,5490.0] || member(u,universal_class) subclass(rest_relation,v) subclass(v,w)* well_ordering(omega,w)* -> equal(integer_of(ordered_pair(ordered_pair(u,rest_of(u)),least(omega,v))),identity_relation)**.
% 299.85/300.46  120705[0:SpL:119609.0,3925.1] || member(u,domain_of(universal_class))* equal(cross_product(u,universal_class),least(rest_of(universal_class),v))* member(u,v)* subclass(v,w)* well_ordering(rest_of(universal_class),w)* -> .
% 299.85/300.46  34523[0:Rew:27.0,34502.3] || member(u,v) subclass(v,w)* well_ordering(union(x,y),w)* -> member(ordered_pair(u,least(union(x,y),v)),intersection(complement(x),complement(y)))*.
% 299.85/300.46  102296[3:Res:28041.2,3926.0] inductive(u) || well_ordering(cross_product(v,u),universal_class)* member(w,v)* member(w,u)* subclass(u,x) well_ordering(cross_product(v,u),x)* -> .
% 299.85/300.46  36796[5:Res:5404.2,3926.0] || well_ordering(cross_product(u,v),universal_class)* member(w,u)* member(w,v)* subclass(v,x) well_ordering(cross_product(u,v),x)* -> equal(v,identity_relation).
% 299.85/300.46  48828[5:Res:5403.2,3926.0] || well_ordering(cross_product(u,v),v)* member(w,u)* member(w,v)* subclass(v,x) well_ordering(cross_product(u,v),x)* -> equal(v,identity_relation).
% 299.85/300.46  104055[3:Res:28061.2,3926.0] inductive(u) || well_ordering(cross_product(v,u),u)* member(w,v)* member(w,u)* subclass(u,x) well_ordering(cross_product(v,u),x)* -> .
% 299.85/300.46  116683[0:Res:27933.1,126.0] || member(u,universal_class) subclass(union(v,w),x)* well_ordering(y,x)* -> member(u,complement(v))* member(least(y,union(v,w)),union(v,w))*.
% 299.85/300.46  117062[0:Res:27934.1,126.0] || member(u,universal_class) subclass(union(v,w),x)* well_ordering(y,x)* -> member(u,complement(w))* member(least(y,union(v,w)),union(v,w))*.
% 299.85/300.46  162159[5:Res:160697.0,3692.1] inductive(cantor(cross_product(u,singleton(v)))) || well_ordering(w,segment(universal_class,u,v)) -> member(least(w,cantor(cross_product(u,singleton(v)))),cantor(cross_product(u,singleton(v))))*.
% 299.85/300.46  104033[3:Res:28061.2,588.0] inductive(intersection(complement(u),complement(v))) || well_ordering(w,intersection(complement(u),complement(v))) member(least(w,intersection(complement(u),complement(v))),union(u,v))* -> .
% 299.85/300.46  123376[5:Rew:122359.0,123375.2] inductive(symmetric_difference(union(identity_relation,u),universal_class)) || well_ordering(v,union(complement(u),identity_relation)) -> member(least(v,symmetric_difference(complement(complement(u)),universal_class)),symmetric_difference(complement(complement(u)),universal_class))*.
% 299.85/300.46  123363[5:Rew:122359.0,28097.2,122360.0,28097.1] inductive(symmetric_difference(universal_class,union(identity_relation,u))) || well_ordering(v,complement(complement(complement(u)))) -> member(least(v,symmetric_difference(universal_class,complement(complement(u)))),symmetric_difference(universal_class,complement(complement(u))))*.
% 299.85/300.46  37346[0:Res:7.1,3714.2] || equal(u,cross_product(v,w))* member(x,w)* member(y,v)* well_ordering(z,u)* -> member(least(z,cross_product(v,w)),cross_product(v,w))*.
% 299.85/300.46  167001[5:Res:160697.0,5215.0] || well_ordering(u,segment(universal_class,v,w)) -> equal(cantor(cross_product(v,singleton(w))),identity_relation) member(least(u,cantor(cross_product(v,singleton(w)))),cantor(cross_product(v,singleton(w))))*.
% 299.85/300.46  48812[5:Res:5403.2,588.0] || well_ordering(u,intersection(complement(v),complement(w))) member(least(u,intersection(complement(v),complement(w))),union(v,w))* -> equal(intersection(complement(v),complement(w)),identity_relation).
% 299.85/300.46  53063[0:Res:53055.1,3336.0] || well_ordering(u,rest_relation) member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,least(u,rest_relation))),second(ordered_pair(v,least(u,rest_relation)))),ordered_pair(v,least(u,rest_relation)))**.
% 299.85/300.46  53057[0:Res:53042.1,3336.0] || well_ordering(u,universal_class) member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,least(u,rest_relation))),second(ordered_pair(v,least(u,rest_relation)))),ordered_pair(v,least(u,rest_relation)))**.
% 299.85/300.46  34417[0:Res:8771.1,3336.0] || well_ordering(u,universal_class) member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,least(u,universal_class))),second(ordered_pair(v,least(u,universal_class)))),ordered_pair(v,least(u,universal_class)))**.
% 299.85/300.46  30713[5:Res:5331.2,596.0] || member(intersection(restrict(u,v,w),x),universal_class) -> equal(intersection(restrict(u,v,w),x),identity_relation) member(apply(choice,intersection(restrict(u,v,w),x)),u)*.
% 299.85/300.46  23398[5:Res:5216.2,588.0] || member(intersection(complement(u),complement(v)),universal_class) member(apply(choice,intersection(complement(u),complement(v))),union(u,v))* -> equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.46  47904[5:Res:5331.2,8165.1] || member(intersection(intersection(u,v),w),universal_class) member(apply(choice,intersection(intersection(u,v),w)),symmetric_difference(u,v))* -> equal(intersection(intersection(u,v),w),identity_relation).
% 299.85/300.46  30607[5:Res:5330.2,596.0] || member(intersection(u,restrict(v,w,x)),universal_class) -> equal(intersection(u,restrict(v,w,x)),identity_relation) member(apply(choice,intersection(u,restrict(v,w,x))),v)*.
% 299.85/300.46  123422[5:Rew:119684.0,52340.2,119684.0,52340.1,119684.0,52340.0] || member(intersection(u,symmetric_difference(universal_class,v)),universal_class) member(apply(choice,intersection(u,symmetric_difference(universal_class,v))),union(v,identity_relation))* -> equal(intersection(u,symmetric_difference(universal_class,v)),identity_relation).
% 299.85/300.46  47922[5:Res:5330.2,8165.1] || member(intersection(u,intersection(v,w)),universal_class) member(apply(choice,intersection(u,intersection(v,w))),symmetric_difference(v,w))* -> equal(intersection(u,intersection(v,w)),identity_relation).
% 299.85/300.46  123426[5:Rew:119684.0,52323.2,119684.0,52323.1,119684.0,52323.0] || member(intersection(symmetric_difference(universal_class,u),v),universal_class) member(apply(choice,intersection(symmetric_difference(universal_class,u),v)),union(u,identity_relation))* -> equal(intersection(symmetric_difference(universal_class,u),v),identity_relation).
% 299.85/300.46  27209[5:Res:943.1,5377.1] || member(apply(choice,complement(complement(intersection(u,v)))),symmetric_difference(u,v))* member(complement(complement(intersection(u,v))),universal_class) -> equal(complement(complement(intersection(u,v))),identity_relation).
% 299.85/300.46  27984[5:Res:5329.3,1043.0] || member(u,universal_class) subclass(u,ordered_pair(v,w))* -> equal(u,identity_relation) equal(apply(choice,u),unordered_pair(v,singleton(w))) equal(apply(choice,u),singleton(v)).
% 299.85/300.46  39674[0:Res:5.0,3719.1] || member(ordered_pair(u,v),compose(w,x))* well_ordering(y,universal_class) -> member(least(y,image(w,image(x,singleton(u)))),image(w,image(x,singleton(u))))*.
% 299.85/300.46  118150[0:Res:59.1,34675.0] || member(ordered_pair(u,not_subclass_element(v,intersection(image(w,image(x,singleton(u))),v))),compose(w,x))* -> subclass(v,intersection(image(w,image(x,singleton(u))),v)).
% 299.85/300.46  125940[5:Res:5288.2,3525.0] || subclass(omega,compose(u,v)) -> equal(integer_of(ordered_pair(w,not_subclass_element(x,image(u,image(v,singleton(w)))))),identity_relation)** subclass(x,image(u,image(v,singleton(w)))).
% 299.85/300.46  21019[0:SpR:579.0,941.0] ||  -> equal(intersection(union(u,image(element_relation,union(v,w))),union(complement(u),power_class(intersection(complement(v),complement(w))))),symmetric_difference(complement(u),power_class(intersection(complement(v),complement(w)))))**.
% 299.85/300.46  21030[0:SpR:579.0,941.0] ||  -> equal(intersection(union(image(element_relation,union(u,v)),w),union(power_class(intersection(complement(u),complement(v))),complement(w))),symmetric_difference(power_class(intersection(complement(u),complement(v))),complement(w)))**.
% 299.85/300.46  39155[5:MRR:39131.3,5188.0] single_valued_class(u) || member(ordered_pair(v,regular(image(u,image(inverse(u),singleton(v))))),cross_product(universal_class,universal_class))* -> equal(image(u,image(inverse(u),singleton(v))),identity_relation).
% 299.85/300.46  39154[5:MRR:39132.3,5188.0] function(u) || member(ordered_pair(v,regular(image(u,image(inverse(u),singleton(v))))),cross_product(universal_class,universal_class))* -> equal(image(u,image(inverse(u),singleton(v))),identity_relation).
% 299.85/300.46  35500[5:Rew:5392.2,35484.3] || member(u,universal_class) member(ordered_pair(u,not_subclass_element(v,image(w,range_of(identity_relation)))),compose(w,x))* -> member(u,domain_of(x)) subclass(v,image(w,range_of(identity_relation))).
% 299.85/300.46  163209[5:Res:150282.1,3714.2] || equal(range_of(u),universal_class) member(v,w)* member(x,y)* well_ordering(z,range_of(u))* -> member(least(z,cross_product(y,w)),cross_product(y,w))*.
% 299.85/300.46  150353[5:Res:150282.1,3705.2] || equal(range_of(u),universal_class) member(v,w)* member(v,x)* well_ordering(y,range_of(u))* -> member(least(y,intersection(x,w)),intersection(x,w))*.
% 299.85/300.46  191932[15:SpL:191663.0,60.0] || member(u,image(v,image(w,identity_relation))) member(ordered_pair(sum_class(range_of(identity_relation)),u),cross_product(universal_class,universal_class)) -> member(ordered_pair(sum_class(range_of(identity_relation)),u),compose(v,w))*.
% 299.85/300.46  192772[17:MRR:192757.3,5188.0] || member(first(regular(cross_product(u,v))),domain_of(w)) member(ordered_pair(w,regular(cross_product(u,v))),cross_product(universal_class,cross_product(universal_class,universal_class)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.46  199789[15:Res:191820.0,3704.1] || member(u,universal_class) well_ordering(v,symmetric_difference(universal_class,range_of(identity_relation))) -> member(u,successor(range_of(identity_relation)))* member(least(v,complement(successor(range_of(identity_relation)))),complement(successor(range_of(identity_relation))))*.
% 299.85/300.46  199943[12:Rew:191620.1,199923.2] || member(u,universal_class) member(ordered_pair(sum_class(range_of(u)),not_subclass_element(v,image(w,image(x,identity_relation)))),compose(w,x))* -> subclass(v,image(w,image(x,identity_relation))).
% 299.85/300.46  200967[5:Rew:200704.1,200838.3] || equal(u,universal_class) member(ordered_pair(u,not_subclass_element(v,image(w,image(x,identity_relation)))),compose(w,x))* -> inductive(u) subclass(v,image(w,image(x,identity_relation))).
% 299.85/300.46  206401[5:Res:201827.1,60.0] || subclass(complement(image(u,image(v,singleton(w)))),identity_relation)* member(ordered_pair(w,singleton(x)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,singleton(x)),compose(u,v))*.
% 299.85/300.46  206699[5:Res:203299.1,60.0] || equal(complement(image(u,image(v,singleton(w)))),identity_relation) member(ordered_pair(w,singleton(x)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,singleton(x)),compose(u,v))*.
% 299.85/300.46  210063[17:Rew:209320.1,209911.4,209320.1,209911.3,209320.1,209911.1] function(u) || well_ordering(element_relation,image(v,identity_relation)) subclass(apply(v,u),image(v,identity_relation))* -> equal(image(v,identity_relation),universal_class) member(image(v,identity_relation),universal_class).
% 299.85/300.46  32373[5:SpR:5392.2,5454.2] inductive(singleton(u)) || member(u,universal_class) well_ordering(v,singleton(u))* -> member(u,domain_of(successor_relation)) equal(segment(v,range_of(identity_relation),least(v,range_of(identity_relation))),identity_relation)**.
% 299.85/300.46  213857[17:Res:195387.1,2599.1] || subclass(domain_relation,rotate(complement(intersection(u,v)))) member(ordered_pair(ordered_pair(w,identity_relation),x),union(u,v)) -> member(ordered_pair(ordered_pair(w,identity_relation),x),symmetric_difference(u,v))*.
% 299.85/300.46  213959[17:Res:195388.1,2599.1] || subclass(domain_relation,flip(complement(intersection(u,v)))) member(ordered_pair(ordered_pair(w,x),identity_relation),union(u,v)) -> member(ordered_pair(ordered_pair(w,x),identity_relation),symmetric_difference(u,v))*.
% 299.85/300.46  217140[5:Res:20366.2,5490.0] || member(u,universal_class) subclass(rest_relation,rest_of(v)) subclass(domain_of(v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(u,least(omega,domain_of(v)))),identity_relation)**.
% 299.85/300.46  217465[5:SpR:5338.1,5544.1] || subclass(omega,element_relation) -> equal(cross_product(u,v),identity_relation) equal(integer_of(regular(cross_product(u,v))),identity_relation) member(first(regular(cross_product(u,v))),second(regular(cross_product(u,v))))*.
% 299.85/300.46  218750[17:SpL:5338.1,192766.0] || member(regular(cross_product(u,v)),cross_product(universal_class,universal_class)) member(second(regular(cross_product(u,v))),domain_of(first(regular(cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.46  223155[5:Res:223091.1,60.0] || equal(complement(image(u,image(v,singleton(w)))),identity_relation) member(ordered_pair(w,power_class(identity_relation)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,power_class(identity_relation)),compose(u,v))*.
% 299.85/300.46  224721[17:Res:195279.2,5490.0] || member(u,universal_class) equal(successor(u),identity_relation) subclass(successor_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(u,identity_relation),least(omega,successor_relation))),identity_relation)**.
% 299.85/300.46  229146[5:SpL:122711.0,705.0] || member(not_subclass_element(power_class(intersection(complement(u),union(v,identity_relation))),w),image(element_relation,union(u,symmetric_difference(universal_class,v))))* -> subclass(power_class(intersection(complement(u),union(v,identity_relation))),w).
% 299.85/300.46  229144[5:SpL:122708.0,705.0] || member(not_subclass_element(power_class(intersection(union(u,identity_relation),complement(v))),w),image(element_relation,union(symmetric_difference(universal_class,u),v)))* -> subclass(power_class(intersection(union(u,identity_relation),complement(v))),w).
% 299.85/300.46  229802[5:Res:5585.1,126.0] || subclass(complement(intersection(u,v)),w)* well_ordering(x,w)* -> equal(symmetric_difference(u,v),identity_relation) member(least(x,complement(intersection(u,v))),complement(intersection(u,v)))*.
% 299.85/300.46  230149[5:MRR:230088.0,29531.1] ||  -> member(not_subclass_element(regular(intersection(complement(u),complement(v))),w),union(u,v))* subclass(regular(intersection(complement(u),complement(v))),w) equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.46  231360[5:Res:119.1,5318.0] || transitive(u,v) -> equal(compose(restrict(u,v,v),restrict(u,v,v)),identity_relation) member(regular(compose(restrict(u,v,v),restrict(u,v,v))),u)*.
% 299.85/300.46  231487[0:Res:130.2,8433.0] || connected(u,intersection(v,w)) -> well_ordering(u,intersection(v,w)) subclass(not_well_ordering(u,intersection(v,w)),x) member(not_subclass_element(not_well_ordering(u,intersection(v,w)),x),w)*.
% 299.85/300.46  231486[0:Res:133.1,8433.0] || section(u,intersection(v,w),x) -> subclass(domain_of(restrict(u,x,intersection(v,w))),y) member(not_subclass_element(domain_of(restrict(u,x,intersection(v,w))),y),w)*.
% 299.85/300.46  231512[5:Rew:118446.0,231499.0,22454.0,231499.0,27.0,231499.0] ||  -> equal(symmetric_difference(union(inverse(identity_relation),symmetrization_of(identity_relation)),union(complement(inverse(identity_relation)),complement(symmetrization_of(identity_relation)))),union(union(inverse(identity_relation),symmetrization_of(identity_relation)),union(complement(inverse(identity_relation)),complement(symmetrization_of(identity_relation)))))**.
% 299.85/300.46  231621[0:Res:130.2,8432.0] || connected(u,intersection(v,w)) -> well_ordering(u,intersection(v,w)) subclass(not_well_ordering(u,intersection(v,w)),x) member(not_subclass_element(not_well_ordering(u,intersection(v,w)),x),v)*.
% 299.85/300.46  231620[0:Res:133.1,8432.0] || section(u,intersection(v,w),x) -> subclass(domain_of(restrict(u,x,intersection(v,w))),y) member(not_subclass_element(domain_of(restrict(u,x,intersection(v,w))),y),v)*.
% 299.85/300.46  232315[5:Res:601.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(restrict(u,w,x),y) equal(integer_of(ordered_pair(not_subclass_element(restrict(u,w,x),y),least(omega,u))),identity_relation)**.
% 299.85/300.46  233409[5:Res:230404.0,3524.1] || member(ordered_pair(u,v),compose(w,x)) -> equal(singleton(image(w,image(x,singleton(u)))),identity_relation) member(v,complement(singleton(image(w,image(x,singleton(u))))))*.
% 299.85/300.46  234811[5:Rew:579.0,234789.2] || subclass(omega,image(element_relation,union(u,v))) -> equal(integer_of(not_subclass_element(power_class(intersection(complement(u),complement(v))),w)),identity_relation)** subclass(power_class(intersection(complement(u),complement(v))),w).
% 299.85/300.46  234889[5:Res:26595.1,126.0] || member(u,universal_class) subclass(domain_of(v),w)* well_ordering(x,w)* -> equal(apply(v,u),sum_class(range_of(identity_relation)))** member(least(x,domain_of(v)),domain_of(v))*.
% 299.85/300.46  234968[5:MRR:234907.0,29469.1] || member(not_subclass_element(u,intersection(v,domain_of(w))),v)* -> equal(apply(w,not_subclass_element(u,intersection(v,domain_of(w)))),sum_class(range_of(identity_relation)))** subclass(u,intersection(v,domain_of(w))).
% 299.85/300.46  235238[5:Rew:579.0,235180.2] || well_ordering(u,universal_class) member(least(u,power_class(intersection(complement(v),complement(w)))),image(element_relation,union(v,w)))* -> equal(power_class(intersection(complement(v),complement(w))),identity_relation).
% 299.85/300.46  235700[0:Res:20387.1,47.1] || subclass(rest_relation,rotate(cross_product(universal_class,universal_class))) equal(successor(ordered_pair(u,rest_of(ordered_pair(v,u)))),v) -> member(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v),successor_relation)*.
% 299.85/300.46  235668[0:Res:20387.1,9.0] || subclass(rest_relation,rotate(unordered_pair(u,v)))* -> equal(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),v)* equal(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),u)*.
% 299.85/300.46  235816[0:Res:20388.1,47.1] || subclass(rest_relation,flip(cross_product(universal_class,universal_class))) equal(rest_of(ordered_pair(u,v)),successor(ordered_pair(v,u))) -> member(ordered_pair(ordered_pair(v,u),rest_of(ordered_pair(u,v))),successor_relation)*.
% 299.85/300.46  235784[0:Res:20388.1,9.0] || subclass(rest_relation,flip(unordered_pair(u,v)))* -> equal(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),v)* equal(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),u)*.
% 299.85/300.46  235943[5:Res:5462.2,28903.1] || subclass(omega,symmetric_difference(u,v)) member(union(u,v),universal_class) -> equal(integer_of(singleton(union(u,v))),identity_relation) member(singleton(singleton(singleton(union(u,v)))),element_relation)*.
% 299.85/300.46  236532[0:Rew:579.0,236421.1] || member(not_subclass_element(intersection(u,power_class(intersection(complement(v),complement(w)))),x),image(element_relation,union(v,w)))* -> subclass(intersection(u,power_class(intersection(complement(v),complement(w)))),x).
% 299.85/300.46  236931[0:Rew:579.0,236794.1] || member(not_subclass_element(intersection(power_class(intersection(complement(u),complement(v))),w),x),image(element_relation,union(u,v)))* -> subclass(intersection(power_class(intersection(complement(u),complement(v))),w),x).
% 299.85/300.46  240367[5:Res:5604.2,1043.0] || subclass(u,ordered_pair(v,w))* -> equal(intersection(u,x),identity_relation) equal(regular(intersection(u,x)),unordered_pair(v,singleton(w)))* equal(regular(intersection(u,x)),singleton(v)).
% 299.85/300.46  240348[5:Res:5604.2,18.0] || subclass(u,cross_product(v,w))* -> equal(intersection(u,x),identity_relation) equal(ordered_pair(first(regular(intersection(u,x))),second(regular(intersection(u,x)))),regular(intersection(u,x)))**.
% 299.85/300.46  240960[5:Res:5579.2,1043.0] || subclass(u,ordered_pair(v,w))* -> equal(intersection(x,u),identity_relation) equal(regular(intersection(x,u)),unordered_pair(v,singleton(w)))* equal(regular(intersection(x,u)),singleton(v)).
% 299.85/300.46  240941[5:Res:5579.2,18.0] || subclass(u,cross_product(v,w))* -> equal(intersection(x,u),identity_relation) equal(ordered_pair(first(regular(intersection(x,u))),second(regular(intersection(x,u)))),regular(intersection(x,u)))**.
% 299.85/300.46  242045[5:Res:5606.1,8150.0] ||  -> equal(intersection(intersection(symmetric_difference(cross_product(u,v),w),x),y),identity_relation) member(regular(intersection(intersection(symmetric_difference(cross_product(u,v),w),x),y)),complement(restrict(w,u,v)))*.
% 299.85/300.46  242044[5:Res:5605.1,8150.0] ||  -> equal(intersection(intersection(u,symmetric_difference(cross_product(v,w),x)),y),identity_relation) member(regular(intersection(intersection(u,symmetric_difference(cross_product(v,w),x)),y)),complement(restrict(x,v,w)))*.
% 299.85/300.46  242043[5:Res:5581.1,8150.0] ||  -> equal(intersection(u,intersection(symmetric_difference(cross_product(v,w),x),y)),identity_relation) member(regular(intersection(u,intersection(symmetric_difference(cross_product(v,w),x),y))),complement(restrict(x,v,w)))*.
% 299.85/300.46  242042[5:Res:5580.1,8150.0] ||  -> equal(intersection(u,intersection(v,symmetric_difference(cross_product(w,x),y))),identity_relation) member(regular(intersection(u,intersection(v,symmetric_difference(cross_product(w,x),y)))),complement(restrict(y,w,x)))*.
% 299.85/300.46  242317[5:Res:5606.1,8147.0] ||  -> equal(intersection(intersection(symmetric_difference(u,cross_product(v,w)),x),y),identity_relation) member(regular(intersection(intersection(symmetric_difference(u,cross_product(v,w)),x),y)),complement(restrict(u,v,w)))*.
% 299.85/300.46  242316[5:Res:5605.1,8147.0] ||  -> equal(intersection(intersection(u,symmetric_difference(v,cross_product(w,x))),y),identity_relation) member(regular(intersection(intersection(u,symmetric_difference(v,cross_product(w,x))),y)),complement(restrict(v,w,x)))*.
% 299.85/300.46  242315[5:Res:5581.1,8147.0] ||  -> equal(intersection(u,intersection(symmetric_difference(v,cross_product(w,x)),y)),identity_relation) member(regular(intersection(u,intersection(symmetric_difference(v,cross_product(w,x)),y))),complement(restrict(v,w,x)))*.
% 299.85/300.46  242314[5:Res:5580.1,8147.0] ||  -> equal(intersection(u,intersection(v,symmetric_difference(w,cross_product(x,y)))),identity_relation) member(regular(intersection(u,intersection(v,symmetric_difference(w,cross_product(x,y))))),complement(restrict(w,x,y)))*.
% 299.85/300.46  242456[0:Res:601.1,756.0] ||  -> subclass(restrict(cantor(restrict(u,v,singleton(w))),x,y),z) member(not_subclass_element(restrict(cantor(restrict(u,v,singleton(w))),x,y),z),segment(u,v,w))*.
% 299.85/300.46  242593[5:Rew:9097.0,242565.1] || member(regular(complement(segment(cross_product(u,v),w,x))),cantor(restrict(cross_product(w,singleton(x)),u,v)))* -> equal(complement(segment(cross_product(u,v),w,x)),identity_relation).
% 299.85/300.46  242713[0:Res:3728.1,8435.0] || equal(sum_class(restrict(u,v,w)),restrict(u,v,w)) -> subclass(sum_class(restrict(u,v,w)),x) member(not_subclass_element(sum_class(restrict(u,v,w)),x),u)*.
% 299.85/300.46  243957[21:Rew:22454.0,243956.4] || member(least(cross_product(u,universal_class),v),inverse(identity_relation))* member(w,u)* member(w,v)* subclass(v,x)* well_ordering(cross_product(u,universal_class),x)* -> .
% 299.85/300.46  244690[21:Res:601.1,243787.1] || member(not_subclass_element(restrict(complement(compose(complement(element_relation),inverse(element_relation))),u,v),w),cross_product(universal_class,universal_class))* -> subclass(restrict(complement(compose(complement(element_relation),inverse(element_relation))),u,v),w).
% 299.85/300.46  247176[0:SpR:21037.0,160.0] ||  -> equal(intersection(complement(symmetric_difference(complement(u),complement(singleton(u)))),union(successor(u),union(complement(u),complement(singleton(u))))),symmetric_difference(successor(u),union(complement(u),complement(singleton(u)))))**.
% 299.85/300.46  248478[0:SpR:21036.0,160.0] ||  -> equal(intersection(complement(symmetric_difference(complement(u),complement(inverse(u)))),union(symmetrization_of(u),union(complement(u),complement(inverse(u))))),symmetric_difference(symmetrization_of(u),union(complement(u),complement(inverse(u)))))**.
% 299.85/300.46  251179[5:Rew:122711.0,249170.1] || member(not_subclass_element(image(element_relation,union(u,symmetric_difference(universal_class,v))),w),power_class(intersection(complement(u),union(v,identity_relation))))* -> subclass(image(element_relation,union(u,symmetric_difference(universal_class,v))),w).
% 299.85/300.46  251180[5:Rew:122708.0,249168.1] || member(not_subclass_element(image(element_relation,union(symmetric_difference(universal_class,u),v)),w),power_class(intersection(union(u,identity_relation),complement(v))))* -> subclass(image(element_relation,union(symmetric_difference(universal_class,u),v)),w).
% 299.85/300.46  251213[0:Rew:250160.0,249174.1,249197.0,249174.1,249197.0,249174.1,250160.0,249174.0,249197.0,249174.0] || member(not_subclass_element(image(element_relation,successor(complement(power_class(u)))),v),complement(image(element_relation,successor(complement(power_class(u))))))* -> subclass(complement(complement(image(element_relation,successor(complement(power_class(u)))))),v).
% 299.85/300.46  251214[0:Rew:250035.0,249173.1,249197.0,249173.1,249197.0,249173.1,250035.0,249173.0,249197.0,249173.0] || member(not_subclass_element(image(element_relation,symmetrization_of(complement(power_class(u)))),v),complement(image(element_relation,symmetrization_of(complement(power_class(u))))))* -> subclass(complement(complement(image(element_relation,symmetrization_of(complement(power_class(u)))))),v).
% 299.85/300.46  255667[5:SpL:249208.0,5336.0] || member(regular(union(intersection(power_class(u),complement(v)),w)),intersection(union(complement(power_class(u)),v),complement(w)))* -> equal(union(intersection(power_class(u),complement(v)),w),identity_relation).
% 299.85/300.46  255666[5:SpL:249200.0,5336.0] || member(regular(union(intersection(complement(u),power_class(v)),w)),intersection(union(u,complement(power_class(v))),complement(w)))* -> equal(union(intersection(complement(u),power_class(v)),w),identity_relation).
% 299.85/300.46  255644[5:SpL:249208.0,5336.0] || member(regular(union(u,intersection(power_class(v),complement(w)))),intersection(complement(u),union(complement(power_class(v)),w)))* -> equal(union(u,intersection(power_class(v),complement(w))),identity_relation).
% 299.85/300.46  255643[5:SpL:249200.0,5336.0] || member(regular(union(u,intersection(complement(v),power_class(w)))),intersection(complement(u),union(v,complement(power_class(w)))))* -> equal(union(u,intersection(complement(v),power_class(w))),identity_relation).
% 299.85/300.46  255835[5:Res:34006.1,126.0] || subclass(regular(cross_product(u,v)),w)* well_ordering(x,w)* -> equal(cross_product(u,v),identity_relation) member(least(x,regular(cross_product(u,v))),regular(cross_product(u,v)))*.
% 299.85/300.46  256900[0:Res:601.1,251410.0] || member(not_subclass_element(restrict(intersection(power_class(u),complement(v)),w,x),y),union(complement(power_class(u)),v))* -> subclass(restrict(intersection(power_class(u),complement(v)),w,x),y).
% 299.85/300.46  257092[0:Res:601.1,251419.0] || member(not_subclass_element(restrict(intersection(complement(u),power_class(v)),w,x),y),union(u,complement(power_class(v))))* -> subclass(restrict(intersection(complement(u),power_class(v)),w,x),y).
% 299.85/300.47  257261[3:Res:28041.2,20569.2] inductive(union(u,v)) || well_ordering(w,universal_class) member(least(w,union(u,v)),complement(v))* member(least(w,union(u,v)),complement(u))* -> .
% 299.85/300.47  257259[5:Res:5404.2,20569.2] || well_ordering(u,universal_class) member(least(u,union(v,w)),complement(w))* member(least(u,union(v,w)),complement(v))* -> equal(union(v,w),identity_relation).
% 299.85/300.47  257243[5:Res:5579.2,20569.2] || subclass(u,union(v,w))* member(regular(intersection(x,u)),complement(w))* member(regular(intersection(x,u)),complement(v))* -> equal(intersection(x,u),identity_relation).
% 299.85/300.47  257238[5:Res:5604.2,20569.2] || subclass(u,union(v,w))* member(regular(intersection(u,x)),complement(w))* member(regular(intersection(u,x)),complement(v))* -> equal(intersection(u,x),identity_relation).
% 299.85/300.47  257228[5:Res:29628.0,20569.2] || member(regular(complement(complement(union(u,v)))),complement(v))* member(regular(complement(complement(union(u,v)))),complement(u))* -> equal(complement(complement(union(u,v))),identity_relation).
% 299.85/300.47  257223[0:Res:827.3,20569.2] function(u) || member(v,universal_class) subclass(universal_class,union(w,x))* member(image(u,v),complement(x))* member(image(u,v),complement(w))* -> .
% 299.85/300.47  257217[5:Res:5329.3,20569.2] || member(u,universal_class) subclass(u,union(v,w))* member(apply(choice,u),complement(w))* member(apply(choice,u),complement(v))* -> equal(u,identity_relation).
% 299.85/300.47  257214[5:Res:5295.1,20569.2] || member(regular(intersection(u,union(v,w))),complement(w))* member(regular(intersection(u,union(v,w))),complement(v))* -> equal(intersection(u,union(v,w)),identity_relation).
% 299.85/300.47  257195[5:Res:5294.1,20569.2] || member(regular(intersection(union(u,v),w)),complement(v))* member(regular(intersection(union(u,v),w)),complement(u))* -> equal(intersection(union(u,v),w),identity_relation).
% 299.85/300.47  257778[5:SpL:32674.2,3675.0] || equal(u,v) subclass(v,image(choice,singleton(unordered_pair(v,u))))* -> equal(unordered_pair(v,u),identity_relation) section(element_relation,image(choice,singleton(unordered_pair(v,u))),universal_class)*.
% 299.85/300.47  258049[5:Res:8059.2,588.0] || well_ordering(u,universal_class) member(least(u,intersection(intersection(complement(v),complement(w)),x)),union(v,w))* -> equal(intersection(intersection(complement(v),complement(w)),x),identity_relation).
% 299.85/300.47  258243[5:Res:8060.2,588.0] || well_ordering(u,universal_class) member(least(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* -> equal(intersection(v,intersection(complement(w),complement(x))),identity_relation).
% 299.85/300.47  258384[5:Res:8057.3,1043.0] || well_ordering(u,universal_class) subclass(v,ordered_pair(w,x))* -> equal(v,identity_relation) equal(least(u,v),unordered_pair(w,singleton(x)))* equal(least(u,v),singleton(w)).
% 299.85/300.47  258369[5:Res:8057.3,20569.2] || well_ordering(u,universal_class) subclass(v,union(w,x))* member(least(u,v),complement(x))* member(least(u,v),complement(w))* -> equal(v,identity_relation).
% 299.85/300.47  259112[5:Res:256424.0,2599.1] || member(complement(complement(intersection(u,v))),union(u,v)) -> equal(singleton(complement(complement(intersection(u,v)))),identity_relation) member(complement(complement(intersection(u,v))),symmetric_difference(u,v))*.
% 299.85/300.47  259338[5:Res:30856.1,8086.1] || member(unordered_pair(u,v),union(w,x)) subclass(universal_class,regular(intersection(w,x))) -> member(unordered_pair(u,v),symmetric_difference(w,x))* equal(intersection(w,x),identity_relation).
% 299.85/300.47  259286[0:SpR:931.0,30856.1] || member(u,union(complement(intersection(v,inverse(v))),symmetrization_of(v))) -> member(u,symmetric_difference(v,inverse(v))) member(u,symmetric_difference(complement(intersection(v,inverse(v))),symmetrization_of(v)))*.
% 299.85/300.47  259285[0:SpR:932.0,30856.1] || member(u,union(complement(intersection(v,singleton(v))),successor(v))) -> member(u,symmetric_difference(v,singleton(v))) member(u,symmetric_difference(complement(intersection(v,singleton(v))),successor(v)))*.
% 299.85/300.47  259690[0:Obv:259666.2] || member(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,y),compose(v,w)) -> subclass(unordered_pair(y,u),image(v,image(w,singleton(x))))*.
% 299.85/300.47  259801[0:Obv:259776.2] || member(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,y),compose(v,w)) -> subclass(unordered_pair(u,y),image(v,image(w,singleton(x))))*.
% 299.85/300.47  260887[0:Res:8216.1,588.0] || member(not_subclass_element(intersection(u,intersection(v,intersection(complement(w),complement(x)))),y),union(w,x))* -> subclass(intersection(u,intersection(v,intersection(complement(w),complement(x)))),y).
% 299.85/300.47  261157[0:Res:260940.0,3705.2] || member(u,intersection(v,w))* member(u,x)* well_ordering(y,w) -> member(least(y,intersection(x,intersection(v,w))),intersection(x,intersection(v,w)))*.
% 299.85/300.47  261274[5:Res:261060.0,5215.0] || well_ordering(u,v) -> equal(intersection(w,restrict(v,x,y)),identity_relation) member(least(u,intersection(w,restrict(v,x,y))),intersection(w,restrict(v,x,y)))*.
% 299.85/300.47  261273[3:Res:261060.0,3692.1] inductive(intersection(u,restrict(v,w,x))) || well_ordering(y,v) -> member(least(y,intersection(u,restrict(v,w,x))),intersection(u,restrict(v,w,x)))*.
% 299.85/300.47  261457[0:Res:8215.1,588.0] || member(not_subclass_element(intersection(u,intersection(intersection(complement(v),complement(w)),x)),y),union(v,w))* -> subclass(intersection(u,intersection(intersection(complement(v),complement(w)),x)),y).
% 299.85/300.47  261727[0:Res:261510.0,3705.2] || member(u,intersection(v,w))* member(u,x)* well_ordering(y,v) -> member(least(y,intersection(x,intersection(v,w))),intersection(x,intersection(v,w)))*.
% 299.85/300.47  262174[0:Res:261657.0,3705.2] || member(u,complement(complement(v)))* member(u,w)* well_ordering(x,v) -> member(least(x,intersection(w,complement(complement(v)))),intersection(w,complement(complement(v))))*.
% 299.85/300.47  262361[0:Res:8310.1,588.0] || member(not_subclass_element(intersection(intersection(u,intersection(complement(v),complement(w))),x),y),union(v,w))* -> subclass(intersection(intersection(u,intersection(complement(v),complement(w))),x),y).
% 299.85/300.47  262633[0:Res:262411.0,3705.2] || member(u,v)* member(u,intersection(w,x))* well_ordering(y,x) -> member(least(y,intersection(intersection(w,x),v)),intersection(intersection(w,x),v))*.
% 299.85/300.47  262820[0:Res:262607.0,3704.1] || member(u,universal_class) well_ordering(v,w) -> member(u,complement(intersection(x,w)))* member(least(v,complement(complement(intersection(x,w)))),complement(complement(intersection(x,w))))*.
% 299.85/300.47  263052[0:Res:8309.1,588.0] || member(not_subclass_element(intersection(intersection(intersection(complement(u),complement(v)),w),x),y),union(u,v))* -> subclass(intersection(intersection(intersection(complement(u),complement(v)),w),x),y).
% 299.85/300.47  263476[0:Res:263102.0,3705.2] || member(u,v)* member(u,intersection(w,x))* well_ordering(y,w) -> member(least(y,intersection(intersection(w,x),v)),intersection(intersection(w,x),v))*.
% 299.85/300.47  263765[0:Res:263405.0,3705.2] || member(u,v)* member(u,complement(complement(w)))* well_ordering(x,w) -> member(least(x,intersection(complement(complement(w)),v)),intersection(complement(complement(w)),v))*.
% 299.85/300.47  263945[0:Res:263745.0,3704.1] || member(u,universal_class) well_ordering(v,w) -> member(u,complement(complement(complement(w))))* member(least(v,complement(complement(complement(complement(w))))),complement(complement(complement(complement(w)))))*.
% 299.85/300.47  264114[0:Res:263450.0,3704.1] || member(u,universal_class) well_ordering(v,w) -> member(u,complement(intersection(w,x)))* member(least(v,complement(complement(intersection(w,x)))),complement(complement(intersection(w,x))))*.
% 299.85/300.47  265510[5:Res:28995.3,8834.0] function(symmetric_difference(u,inverse(u))) || member(cross_product(universal_class,universal_class),universal_class) -> equal(symmetric_difference(u,inverse(u)),identity_relation) member(least(element_relation,symmetric_difference(u,inverse(u))),symmetrization_of(u))*.
% 299.85/300.47  265509[5:Res:28995.3,8898.0] function(symmetric_difference(u,singleton(u))) || member(cross_product(universal_class,universal_class),universal_class) -> equal(symmetric_difference(u,singleton(u)),identity_relation) member(least(element_relation,symmetric_difference(u,singleton(u))),successor(u))*.
% 299.85/300.47  265847[5:Res:262147.0,5215.0] || well_ordering(u,v) -> equal(restrict(complement(complement(v)),w,x),identity_relation) member(least(u,restrict(complement(complement(v)),w,x)),restrict(complement(complement(v)),w,x))*.
% 299.85/300.47  265846[3:Res:262147.0,3692.1] inductive(restrict(complement(complement(u)),v,w)) || well_ordering(x,u) -> member(least(x,restrict(complement(complement(u)),v,w)),restrict(complement(complement(u)),v,w))*.
% 299.85/300.47  265905[0:SpR:252738.0,160.0] ||  -> equal(intersection(complement(intersection(image(element_relation,power_class(u)),complement(power_class(v)))),complement(intersection(power_class(complement(power_class(u))),power_class(v)))),symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v))))**.
% 299.85/300.47  265989[5:Res:262737.0,5215.0] || well_ordering(u,v) -> equal(complement(complement(restrict(v,w,x))),identity_relation) member(least(u,complement(complement(restrict(v,w,x)))),complement(complement(restrict(v,w,x))))*.
% 299.85/300.47  265988[3:Res:262737.0,3692.1] inductive(complement(complement(restrict(u,v,w)))) || well_ordering(x,u) -> member(least(x,complement(complement(restrict(u,v,w)))),complement(complement(restrict(u,v,w))))*.
% 299.85/300.47  266147[5:Res:261130.0,5215.0] || well_ordering(u,v) -> equal(restrict(intersection(w,v),x,y),identity_relation) member(least(u,restrict(intersection(w,v),x,y)),restrict(intersection(w,v),x,y))*.
% 299.85/300.47  266146[3:Res:261130.0,3692.1] inductive(restrict(intersection(u,v),w,x)) || well_ordering(y,v) -> member(least(y,restrict(intersection(u,v),w,x)),restrict(intersection(u,v),w,x))*.
% 299.85/300.47  266245[0:SpR:253065.0,160.0] ||  -> equal(intersection(complement(intersection(complement(power_class(u)),image(element_relation,power_class(v)))),complement(intersection(power_class(u),power_class(complement(power_class(v)))))),symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v))))**.
% 299.85/300.47  266392[5:Res:261700.0,5215.0] || well_ordering(u,v) -> equal(restrict(intersection(v,w),x,y),identity_relation) member(least(u,restrict(intersection(v,w),x,y)),restrict(intersection(v,w),x,y))*.
% 299.85/300.47  266391[3:Res:261700.0,3692.1] inductive(restrict(intersection(u,v),w,x)) || well_ordering(y,u) -> member(least(y,restrict(intersection(u,v),w,x)),restrict(intersection(u,v),w,x))*.
% 299.85/300.47  266522[5:Res:262535.0,5215.0] || well_ordering(u,v) -> equal(intersection(restrict(v,w,x),y),identity_relation) member(least(u,intersection(restrict(v,w,x),y)),intersection(restrict(v,w,x),y))*.
% 299.85/300.47  266521[3:Res:262535.0,3692.1] inductive(intersection(restrict(u,v,w),x)) || well_ordering(y,u) -> member(least(y,intersection(restrict(u,v,w),x)),intersection(restrict(u,v,w),x))*.
% 299.85/300.47  266899[5:SpL:5338.1,34161.0] || member(regular(cross_product(u,v)),cross_product(universal_class,universal_class)) subclass(composition_function,rest_of(w)) -> equal(cross_product(u,v),identity_relation) member(first(regular(cross_product(u,v))),domain_of(w))*.
% 299.85/300.47  266983[5:Res:5462.2,8100.2] || subclass(omega,symmetric_difference(u,v)) member(w,universal_class) subclass(universal_class,regular(union(u,v)))* -> equal(integer_of(sum_class(w)),identity_relation)** equal(union(u,v),identity_relation).
% 299.85/300.47  267107[5:Res:5462.2,8099.2] || subclass(omega,symmetric_difference(u,v)) member(w,universal_class) subclass(universal_class,regular(union(u,v)))* -> equal(integer_of(power_class(w)),identity_relation)** equal(union(u,v),identity_relation).
% 299.85/300.47  268208[5:SpL:5338.1,34162.0] || member(regular(cross_product(u,v)),cross_product(universal_class,universal_class))* subclass(composition_function,cross_product(w,x))* -> equal(cross_product(u,v),identity_relation) member(first(regular(cross_product(u,v))),w)*.
% 299.85/300.47  268678[5:Res:25231.1,20569.2] || member(regular(symmetric_difference(complement(u),complement(v))),complement(v))* member(regular(symmetric_difference(complement(u),complement(v))),complement(u))* -> equal(symmetric_difference(complement(u),complement(v)),identity_relation).
% 299.85/300.47  268743[5:Rew:249208.0,268651.0] ||  -> equal(symmetric_difference(union(complement(power_class(u)),v),complement(w)),identity_relation) member(regular(symmetric_difference(union(complement(power_class(u)),v),complement(w))),union(intersection(power_class(u),complement(v)),w))*.
% 299.85/300.47  268744[5:Rew:249200.0,268650.0] ||  -> equal(symmetric_difference(union(u,complement(power_class(v))),complement(w)),identity_relation) member(regular(symmetric_difference(union(u,complement(power_class(v))),complement(w))),union(intersection(complement(u),power_class(v)),w))*.
% 299.85/300.47  268745[5:Rew:249208.0,268628.0] ||  -> equal(symmetric_difference(complement(u),union(complement(power_class(v)),w)),identity_relation) member(regular(symmetric_difference(complement(u),union(complement(power_class(v)),w))),union(u,intersection(power_class(v),complement(w))))*.
% 299.85/300.47  268746[5:Rew:249200.0,268627.0] ||  -> equal(symmetric_difference(complement(u),union(v,complement(power_class(w)))),identity_relation) member(regular(symmetric_difference(complement(u),union(v,complement(power_class(w))))),union(u,intersection(complement(v),power_class(w))))*.
% 299.85/300.47  269624[3:Res:28041.2,7532.1] inductive(power_class(intersection(complement(u),complement(v)))) || well_ordering(w,universal_class) member(least(w,power_class(intersection(complement(u),complement(v)))),image(element_relation,union(u,v)))* -> .
% 299.85/300.47  269792[7:Res:264270.0,27621.1] || member(complement(union(complement(singleton(identity_relation)),u)),universal_class) -> equal(complement(union(complement(singleton(identity_relation)),u)),identity_relation) equal(apply(choice,complement(union(complement(singleton(identity_relation)),u))),identity_relation)**.
% 299.85/300.47  269791[7:Res:263210.0,27621.1] || member(complement(union(u,complement(singleton(identity_relation)))),universal_class) -> equal(complement(union(u,complement(singleton(identity_relation)))),identity_relation) equal(apply(choice,complement(union(u,complement(singleton(identity_relation))))),identity_relation)**.
% 299.85/300.47  269787[5:Res:1013.1,27621.1] || section(u,singleton(v),w) member(segment(u,w,v),universal_class) -> equal(segment(u,w,v),identity_relation) equal(apply(choice,segment(u,w,v)),v)**.
% 299.85/300.47  269785[5:Res:263102.0,27621.1] || member(intersection(intersection(singleton(u),v),w),universal_class) -> equal(intersection(intersection(singleton(u),v),w),identity_relation) equal(apply(choice,intersection(intersection(singleton(u),v),w)),u)**.
% 299.85/300.47  269784[5:Res:262411.0,27621.1] || member(intersection(intersection(u,singleton(v)),w),universal_class) -> equal(intersection(intersection(u,singleton(v)),w),identity_relation) equal(apply(choice,intersection(intersection(u,singleton(v)),w)),v)**.
% 299.85/300.47  269782[5:Res:261657.0,27621.1] || member(intersection(u,complement(complement(singleton(v)))),universal_class) -> equal(intersection(u,complement(complement(singleton(v)))),identity_relation) equal(apply(choice,intersection(u,complement(complement(singleton(v))))),v)**.
% 299.85/300.47  269781[5:Res:261510.0,27621.1] || member(intersection(u,intersection(singleton(v),w)),universal_class) -> equal(intersection(u,intersection(singleton(v),w)),identity_relation) equal(apply(choice,intersection(u,intersection(singleton(v),w))),v)**.
% 299.85/300.47  269779[5:Res:260940.0,27621.1] || member(intersection(u,intersection(v,singleton(w))),universal_class) -> equal(intersection(u,intersection(v,singleton(w))),identity_relation) equal(apply(choice,intersection(u,intersection(v,singleton(w)))),w)**.
% 299.85/300.47  269778[5:Res:263405.0,27621.1] || member(intersection(complement(complement(singleton(u))),v),universal_class) -> equal(intersection(complement(complement(singleton(u))),v),identity_relation) equal(apply(choice,intersection(complement(complement(singleton(u))),v)),u)**.
% 299.85/300.47  269776[5:Res:263450.0,27621.1] || member(complement(complement(intersection(singleton(u),v))),universal_class) -> equal(complement(complement(intersection(singleton(u),v))),identity_relation) equal(apply(choice,complement(complement(intersection(singleton(u),v)))),u)**.
% 299.85/300.47  269775[5:Res:263745.0,27621.1] || member(complement(complement(complement(complement(singleton(u))))),universal_class) -> equal(complement(complement(complement(complement(singleton(u))))),identity_relation) equal(apply(choice,complement(complement(complement(complement(singleton(u)))))),u)**.
% 299.85/300.47  269774[5:Res:262607.0,27621.1] || member(complement(complement(intersection(u,singleton(v)))),universal_class) -> equal(complement(complement(intersection(u,singleton(v)))),identity_relation) equal(apply(choice,complement(complement(intersection(u,singleton(v))))),v)**.
% 299.85/300.47  270035[17:SpR:252738.0,195208.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(image(element_relation,power_class(v)),complement(power_class(w)))) -> member(ordered_pair(u,identity_relation),complement(intersection(power_class(complement(power_class(v))),power_class(w))))*.
% 299.85/300.47  270028[17:SpR:253065.0,195208.2] || member(u,universal_class) subclass(domain_relation,symmetric_difference(complement(power_class(v)),image(element_relation,power_class(w)))) -> member(ordered_pair(u,identity_relation),complement(intersection(power_class(v),power_class(complement(power_class(w))))))*.
% 299.85/300.47  270237[0:SpL:251233.0,2609.2] || member(u,union(power_class(v),complement(w))) member(u,union(complement(power_class(v)),w))* subclass(symmetric_difference(power_class(v),complement(w)),x)* -> member(u,x)*.
% 299.85/300.47  270687[0:SpL:251244.0,21262.0] || equal(u,union(intersection(power_class(v),complement(w)),x))* member(y,universal_class) -> member(y,intersection(union(complement(power_class(v)),w),complement(x)))* member(y,u)*.
% 299.85/300.47  270682[0:SpL:251244.0,773.1] || member(u,universal_class) subclass(union(intersection(power_class(v),complement(w)),x),y)* -> member(u,intersection(union(complement(power_class(v)),w),complement(x)))* member(u,y)*.
% 299.85/300.47  270636[5:SpL:251244.0,113722.0] || subclass(intersection(union(complement(power_class(u)),v),complement(w)),union(intersection(power_class(u),complement(v)),w))* -> equal(intersection(union(complement(power_class(u)),v),complement(w)),identity_relation).
% 299.85/300.47  270535[0:SpR:251244.0,581.0] ||  -> equal(complement(intersection(complement(u),union(v,intersection(union(complement(power_class(w)),x),complement(y))))),union(u,intersection(complement(v),union(intersection(power_class(w),complement(x)),y))))**.
% 299.85/300.47  270514[0:SpR:251244.0,581.0] ||  -> equal(complement(intersection(complement(u),union(intersection(union(complement(power_class(v)),w),complement(x)),y))),union(u,intersection(union(intersection(power_class(v),complement(w)),x),complement(y))))**.
% 299.85/300.47  270511[0:SpR:251244.0,580.0] ||  -> equal(complement(intersection(union(u,intersection(union(complement(power_class(v)),w),complement(x))),complement(y))),union(intersection(complement(u),union(intersection(power_class(v),complement(w)),x)),y))**.
% 299.85/300.47  270492[5:SpR:251244.0,230113.0] ||  -> subclass(regular(intersection(union(complement(power_class(u)),v),complement(w))),union(intersection(power_class(u),complement(v)),w))* equal(intersection(union(complement(power_class(u)),v),complement(w)),identity_relation).
% 299.85/300.47  270458[0:SpR:251244.0,580.0] ||  -> equal(complement(intersection(union(intersection(union(complement(power_class(u)),v),complement(w)),x),complement(y))),union(intersection(union(intersection(power_class(u),complement(v)),w),complement(x)),y))**.
% 299.85/300.47  270778[0:Rew:251244.0,270515.1] ||  -> member(not_subclass_element(u,union(intersection(power_class(v),complement(w)),x)),intersection(union(complement(power_class(v)),w),complement(x)))* subclass(u,union(intersection(power_class(v),complement(w)),x)).
% 299.85/300.47  30786[0:SpL:160.0,2599.1] || member(u,union(complement(intersection(v,w)),union(v,w))) member(u,complement(symmetric_difference(v,w))) -> member(u,symmetric_difference(complement(intersection(v,w)),union(v,w)))*.
% 299.85/300.47  30846[0:Res:780.2,2599.1] || member(u,universal_class) subclass(rest_relation,complement(intersection(v,w))) member(ordered_pair(u,rest_of(u)),union(v,w)) -> member(ordered_pair(u,rest_of(u)),symmetric_difference(v,w))*.
% 299.85/300.47  34176[0:Res:3654.2,37.0] || member(ordered_pair(ordered_pair(u,v),w),cross_product(universal_class,universal_class)) subclass(composition_function,flip(x)) -> member(ordered_pair(ordered_pair(v,u),ordered_pair(w,compose(ordered_pair(u,v),w))),x)*.
% 299.85/300.47  34177[0:Res:3654.2,34.0] || member(ordered_pair(ordered_pair(u,v),w),cross_product(universal_class,universal_class)) subclass(composition_function,rotate(x)) -> member(ordered_pair(ordered_pair(v,ordered_pair(w,compose(ordered_pair(u,v),w))),u),x)*.
% 299.85/300.47  123924[0:Res:3654.2,158.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,omega) -> equal(integer_of(ordered_pair(u,ordered_pair(v,compose(u,v)))),ordered_pair(u,ordered_pair(v,compose(u,v))))**.
% 299.85/300.47  34145[0:Res:3654.2,588.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,intersection(complement(w),complement(x))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),union(w,x))* -> .
% 299.85/300.47  35258[0:SpL:598.0,3757.1] || member(u,domain_of(cross_product(v,w))) equal(restrict(cross_product(u,universal_class),v,w),x)* subclass(rest_of(cross_product(v,w)),y)* -> member(ordered_pair(u,x),y)*.
% 299.85/300.47  8242[0:Rew:29.0,8220.1,29.0,8220.0] ||  -> subclass(restrict(u,v,w),x) equal(ordered_pair(first(not_subclass_element(restrict(u,v,w),x)),second(not_subclass_element(restrict(u,v,w),x))),not_subclass_element(restrict(u,v,w),x))**.
% 299.85/300.47  146617[0:SpR:146022.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(u,intersection(u,v))),union(complement(intersection(u,v)),union(u,intersection(u,v)))),symmetric_difference(complement(intersection(u,v)),union(u,intersection(u,v))))**.
% 299.85/300.47  146739[0:SpR:146209.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(u,intersection(v,u))),union(complement(intersection(v,u)),union(u,intersection(v,u)))),symmetric_difference(complement(intersection(v,u)),union(u,intersection(v,u))))**.
% 299.85/300.47  161743[5:Res:118490.1,2612.0] || member(not_subclass_element(u,intersection(v,symmetric_difference(universal_class,w))),complement(w))* member(not_subclass_element(u,intersection(v,symmetric_difference(universal_class,w))),v)* -> subclass(u,intersection(v,symmetric_difference(universal_class,w))).
% 299.85/300.47  162477[0:Res:122671.0,18.0] ||  -> subclass(u,complement(cross_product(v,w))) equal(ordered_pair(first(not_subclass_element(u,complement(cross_product(v,w)))),second(not_subclass_element(u,complement(cross_product(v,w))))),not_subclass_element(u,complement(cross_product(v,w))))**.
% 299.85/300.47  8166[0:Res:943.1,128.3] || member(ordered_pair(u,least(complement(intersection(v,w)),x)),symmetric_difference(v,w))* member(u,x) subclass(x,y)* well_ordering(complement(intersection(v,w)),y)* -> .
% 299.85/300.47  39010[0:Res:779.1,3920.0] || subclass(universal_class,u) member(ordered_pair(v,least(intersection(w,u),x)),w)* member(v,x) subclass(x,y)* well_ordering(intersection(w,u),y)* -> .
% 299.85/300.47  37345[0:Res:63.1,3714.2] function(cross_product(u,v)) || member(w,v)* member(x,u)* well_ordering(y,cross_product(universal_class,universal_class)) -> member(least(y,cross_product(u,v)),cross_product(u,v))*.
% 299.85/300.47  183443[5:Res:943.1,5490.0] || member(u,symmetric_difference(v,w)) subclass(complement(intersection(v,w)),x)* well_ordering(omega,x) -> equal(integer_of(ordered_pair(u,least(omega,complement(intersection(v,w))))),identity_relation)**.
% 299.85/300.47  183445[5:Res:24.2,5490.0] || member(u,v) member(u,w) subclass(intersection(w,v),x)* well_ordering(omega,x) -> equal(integer_of(ordered_pair(u,least(omega,intersection(w,v)))),identity_relation)**.
% 299.85/300.47  9002[5:Res:1013.1,5215.0] || section(u,singleton(v),w) well_ordering(x,singleton(v)) -> equal(segment(u,w,v),identity_relation) member(least(x,segment(u,w,v)),segment(u,w,v))*.
% 299.85/300.47  28112[3:Res:1013.1,3692.1] inductive(segment(u,v,w)) || section(u,singleton(w),v) well_ordering(x,singleton(w)) -> member(least(x,segment(u,v,w)),segment(u,v,w))*.
% 299.85/300.47  37449[0:Res:63.1,3705.2] function(intersection(u,v)) || member(w,v)* member(w,u)* well_ordering(x,cross_product(universal_class,universal_class)) -> member(least(x,intersection(u,v)),intersection(u,v))*.
% 299.85/300.47  120343[5:Rew:118447.0,120319.4] || member(u,universal_class) subclass(union(v,identity_relation),w)* well_ordering(x,w)* -> member(u,symmetric_difference(universal_class,v))* member(least(x,union(v,identity_relation)),union(v,identity_relation))*.
% 299.85/300.47  37470[5:MRR:37469.0,29469.1] || member(u,union(v,identity_relation))* subclass(symmetric_difference(complement(v),universal_class),w)* well_ordering(x,w)* -> member(least(x,symmetric_difference(complement(v),universal_class)),symmetric_difference(complement(v),universal_class))*.
% 299.85/300.47  28087[3:Res:9004.0,3692.1] inductive(symmetric_difference(complement(u),complement(inverse(u)))) || well_ordering(v,symmetrization_of(u)) -> member(least(v,symmetric_difference(complement(u),complement(inverse(u)))),symmetric_difference(complement(u),complement(inverse(u))))*.
% 299.85/300.47  90343[0:Res:47693.0,3704.1] || member(u,universal_class) well_ordering(v,intersection(complement(w),complement(x))) -> member(u,union(w,x))* member(least(v,complement(union(w,x))),complement(union(w,x)))*.
% 299.85/300.47  28088[3:Res:9005.0,3692.1] inductive(symmetric_difference(complement(u),complement(singleton(u)))) || well_ordering(v,successor(u)) -> member(least(v,symmetric_difference(complement(u),complement(singleton(u)))),symmetric_difference(complement(u),complement(singleton(u))))*.
% 299.85/300.47  95391[5:Res:24559.0,3692.1] inductive(symmetric_difference(union(u,identity_relation),universal_class)) || well_ordering(v,complement(symmetric_difference(complement(u),universal_class))) -> member(least(v,symmetric_difference(union(u,identity_relation),universal_class)),symmetric_difference(union(u,identity_relation),universal_class))*.
% 299.85/300.47  123434[5:Rew:122623.0,95713.2] inductive(symmetric_difference(complement(intersection(u,universal_class)),universal_class)) || well_ordering(v,complement(symmetric_difference(u,universal_class))) -> member(least(v,symmetric_difference(universal_class,symmetric_difference(u,universal_class))),symmetric_difference(universal_class,symmetric_difference(u,universal_class)))*.
% 299.85/300.47  9166[5:Res:9005.0,5215.0] || well_ordering(u,successor(v)) -> equal(symmetric_difference(complement(v),complement(singleton(v))),identity_relation) member(least(u,symmetric_difference(complement(v),complement(singleton(v)))),symmetric_difference(complement(v),complement(singleton(v))))*.
% 299.85/300.47  9151[5:Res:9004.0,5215.0] || well_ordering(u,symmetrization_of(v)) -> equal(symmetric_difference(complement(v),complement(inverse(v))),identity_relation) member(least(u,symmetric_difference(complement(v),complement(inverse(v)))),symmetric_difference(complement(v),complement(inverse(v))))*.
% 299.85/300.47  27821[5:Res:24559.0,5215.0] || well_ordering(u,complement(symmetric_difference(complement(v),universal_class))) -> equal(symmetric_difference(union(v,identity_relation),universal_class),identity_relation) member(least(u,symmetric_difference(union(v,identity_relation),universal_class)),symmetric_difference(union(v,identity_relation),universal_class))*.
% 299.85/300.47  30970[5:MRR:30951.2,5184.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(singleton(least(u,compose(v,w))),compose(v,w)) -> section(u,singleton(least(u,compose(v,w))),compose(v,w))*.
% 299.85/300.47  28926[5:Obv:28925.4] function(not_well_ordering(u,v)) || well_ordering(u,cross_product(universal_class,universal_class)) connected(u,v) member(least(u,not_well_ordering(u,v)),not_well_ordering(u,v))* -> well_ordering(u,v).
% 299.85/300.47  8064[5:Res:5404.2,18.0] || well_ordering(u,universal_class) -> equal(cross_product(v,w),identity_relation) equal(ordered_pair(first(least(u,cross_product(v,w))),second(least(u,cross_product(v,w)))),least(u,cross_product(v,w)))**.
% 299.85/300.47  123387[5:Rew:22673.0,123386.2] inductive(symmetric_difference(image(element_relation,identity_relation),identity_relation)) || well_ordering(u,complement(intersection(power_class(universal_class),universal_class))) -> member(least(u,complement(intersection(power_class(universal_class),universal_class))),complement(intersection(power_class(universal_class),universal_class)))*.
% 299.85/300.47  123395[5:Rew:24530.0,123394.2] inductive(symmetric_difference(image(element_relation,universal_class),identity_relation)) || well_ordering(u,complement(intersection(power_class(identity_relation),universal_class))) -> member(least(u,complement(intersection(power_class(identity_relation),universal_class))),complement(intersection(power_class(identity_relation),universal_class)))*.
% 299.85/300.47  37991[5:SpL:5337.2,4722.0] || member(cross_product(u,v),universal_class) equal(w,apply(choice,cross_product(u,v))) -> equal(cross_product(u,v),identity_relation) member(singleton(first(apply(choice,cross_product(u,v)))),w)*.
% 299.85/300.47  37976[5:SpL:5337.2,782.0] || member(cross_product(u,v),universal_class) subclass(apply(choice,cross_product(u,v)),w) -> equal(cross_product(u,v),identity_relation) member(singleton(first(apply(choice,cross_product(u,v)))),w)*.
% 299.85/300.47  30749[5:Rew:939.0,30668.1,939.0,30668.0] || member(symmetric_difference(cross_product(u,v),w),universal_class) -> equal(symmetric_difference(cross_product(u,v),w),identity_relation) member(apply(choice,symmetric_difference(cross_product(u,v),w)),complement(restrict(w,u,v)))*.
% 299.85/300.47  30750[5:Rew:938.0,30667.1,938.0,30667.0] || member(symmetric_difference(u,cross_product(v,w)),universal_class) -> equal(symmetric_difference(u,cross_product(v,w)),identity_relation) member(apply(choice,symmetric_difference(u,cross_product(v,w))),complement(restrict(u,v,w)))*.
% 299.85/300.47  30708[5:Res:5331.2,22549.1] || member(intersection(complement(compose(element_relation,universal_class)),u),universal_class) member(apply(choice,intersection(complement(compose(element_relation,universal_class)),u)),element_relation)* -> equal(intersection(complement(compose(element_relation,universal_class)),u),identity_relation).
% 299.85/300.47  41079[5:Res:5330.2,8834.0] || member(intersection(u,symmetric_difference(v,inverse(v))),universal_class) -> equal(intersection(u,symmetric_difference(v,inverse(v))),identity_relation) member(apply(choice,intersection(u,symmetric_difference(v,inverse(v)))),symmetrization_of(v))*.
% 299.85/300.47  41188[5:Res:5330.2,8898.0] || member(intersection(u,symmetric_difference(v,singleton(v))),universal_class) -> equal(intersection(u,symmetric_difference(v,singleton(v))),identity_relation) member(apply(choice,intersection(u,symmetric_difference(v,singleton(v)))),successor(v))*.
% 299.85/300.47  30602[5:Res:5330.2,22549.1] || member(intersection(u,complement(compose(element_relation,universal_class))),universal_class) member(apply(choice,intersection(u,complement(compose(element_relation,universal_class)))),element_relation)* -> equal(intersection(u,complement(compose(element_relation,universal_class))),identity_relation).
% 299.85/300.47  41063[5:Res:5331.2,8834.0] || member(intersection(symmetric_difference(u,inverse(u)),v),universal_class) -> equal(intersection(symmetric_difference(u,inverse(u)),v),identity_relation) member(apply(choice,intersection(symmetric_difference(u,inverse(u)),v)),symmetrization_of(u))*.
% 299.85/300.47  41172[5:Res:5331.2,8898.0] || member(intersection(symmetric_difference(u,singleton(u)),v),universal_class) -> equal(intersection(symmetric_difference(u,singleton(u)),v),identity_relation) member(apply(choice,intersection(symmetric_difference(u,singleton(u)),v)),successor(u))*.
% 299.85/300.47  4025[0:Res:762.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,unordered_pair(x,y)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,unordered_pair(x,y)),compose(u,v))*.
% 299.85/300.47  4026[0:Res:779.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,ordered_pair(x,y)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,ordered_pair(x,y)),compose(u,v))*.
% 299.85/300.47  4021[0:Res:3780.1,60.0] || equal(complement(complement(image(u,image(v,singleton(w))))),universal_class)** member(ordered_pair(w,singleton(x)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,singleton(x)),compose(u,v))*.
% 299.85/300.47  6469[5:Res:5615.1,60.0] || subclass(domain_relation,image(u,image(v,singleton(w)))) member(ordered_pair(w,ordered_pair(identity_relation,identity_relation)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,ordered_pair(identity_relation,identity_relation)),compose(u,v))*.
% 299.85/300.47  5548[5:Rew:5180.0,4827.2] || subclass(omega,image(u,image(v,singleton(w))))* member(ordered_pair(w,x),cross_product(universal_class,universal_class)) -> equal(integer_of(x),identity_relation) member(ordered_pair(w,x),compose(u,v))*.
% 299.85/300.47  39782[5:MRR:39759.3,5188.0] function(u) || member(ordered_pair(v,not_subclass_element(image(u,image(inverse(u),singleton(v))),w)),cross_product(universal_class,universal_class))* -> subclass(image(u,image(inverse(u),singleton(v))),w).
% 299.85/300.47  39783[5:MRR:39758.3,5188.0] single_valued_class(u) || member(ordered_pair(v,not_subclass_element(image(u,image(inverse(u),singleton(v))),w)),cross_product(universal_class,universal_class))* -> subclass(image(u,image(inverse(u),singleton(v))),w).
% 299.85/300.47  24095[5:Res:3389.1,5215.0] || member(image(u,singleton(v)),universal_class) well_ordering(w,image(u,singleton(v))) -> equal(apply(u,v),identity_relation) member(least(w,apply(u,v)),apply(u,v))*.
% 299.85/300.47  28114[4:Res:3389.1,3692.1] inductive(apply(u,v)) || member(image(u,singleton(v)),universal_class) well_ordering(w,image(u,singleton(v))) -> member(least(w,apply(u,v)),apply(u,v))*.
% 299.85/300.47  163262[4:Res:7.1,74983.1] || equal(image(u,singleton(v)),apply(u,v)) well_ordering(element_relation,image(u,singleton(v)))* -> equal(image(u,singleton(v)),universal_class) member(image(u,singleton(v)),universal_class).
% 299.85/300.47  168543[12:MRR:168523.3,5188.0] || equal(sum_class(range_of(first(regular(cross_product(u,v))))),second(regular(cross_product(u,v)))) member(regular(cross_product(u,v)),cross_product(universal_class,universal_class))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.47  121917[5:SpL:26481.1,3524.1] || member(ordered_pair(u,v),compose(w,regular(cross_product(singleton(u),universal_class))))* subclass(image(w,range_of(identity_relation)),x)* -> equal(cross_product(singleton(u),universal_class),identity_relation) member(v,x)*.
% 299.85/300.47  46100[0:Res:45849.0,3705.2] || member(u,v)* member(u,cantor(inverse(w)))* well_ordering(x,range_of(w)) -> member(least(x,intersection(cantor(inverse(w)),v)),intersection(cantor(inverse(w)),v))*.
% 299.85/300.47  49050[0:Res:47940.0,3704.1] || member(u,universal_class) well_ordering(v,range_of(w)) -> member(u,complement(cantor(inverse(w))))* member(least(v,complement(complement(cantor(inverse(w))))),complement(complement(cantor(inverse(w)))))*.
% 299.85/300.47  34924[5:Res:29474.1,2612.0] || member(not_subclass_element(u,intersection(v,cantor(inverse(w)))),range_of(w))* member(not_subclass_element(u,intersection(v,cantor(inverse(w)))),v)* -> subclass(u,intersection(v,cantor(inverse(w)))).
% 299.85/300.47  46143[0:Res:45938.0,3705.2] || member(u,cantor(inverse(v)))* member(u,w)* well_ordering(x,range_of(v)) -> member(least(x,intersection(w,cantor(inverse(v)))),intersection(w,cantor(inverse(v))))*.
% 299.85/300.47  79142[5:Res:46090.0,5215.0] || well_ordering(u,range_of(v)) -> equal(restrict(cantor(inverse(v)),w,x),identity_relation) member(least(u,restrict(cantor(inverse(v)),w,x)),restrict(cantor(inverse(v)),w,x))*.
% 299.85/300.47  123377[5:Rew:26049.0,93613.2,118455.0,93613.2] inductive(symmetric_difference(cantor(inverse(u)),identity_relation)) || well_ordering(v,complement(symmetric_difference(range_of(u),universal_class))) -> member(least(v,complement(symmetric_difference(range_of(u),universal_class))),complement(symmetric_difference(range_of(u),universal_class)))*.
% 299.85/300.47  84703[3:Res:46090.0,3692.1] inductive(restrict(cantor(inverse(u)),v,w)) || well_ordering(x,range_of(u)) -> member(least(x,restrict(cantor(inverse(u)),v,w)),restrict(cantor(inverse(u)),v,w))*.
% 299.85/300.47  189761[7:Rew:189431.0,189425.1] || member(not_subclass_element(u,intersection(v,complement(singleton(identity_relation)))),v)* -> subclass(singleton(not_subclass_element(u,intersection(v,complement(singleton(identity_relation))))),singleton(identity_relation))* subclass(u,intersection(v,complement(singleton(identity_relation)))).
% 299.85/300.47  189646[7:Rew:189431.0,179211.3] || member(u,v) subclass(v,w)* well_ordering(power_class(complement(singleton(identity_relation))),w)* -> member(ordered_pair(u,least(power_class(complement(singleton(identity_relation))),v)),image(element_relation,singleton(identity_relation)))*.
% 299.85/300.47  194177[15:Res:192110.1,60.0] || equal(image(u,image(v,singleton(w))),singleton(singleton(identity_relation))) member(ordered_pair(w,singleton(identity_relation)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,singleton(identity_relation)),compose(u,v))*.
% 299.85/300.47  204362[5:Res:5507.2,203257.1] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class))* equal(compose(v,w),identity_relation) -> equal(image(v,image(w,singleton(u))),identity_relation).
% 299.85/300.47  204777[5:Res:5507.2,204710.1] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class))* subclass(compose(v,w),identity_relation) -> equal(image(v,image(w,singleton(u))),identity_relation).
% 299.85/300.47  209018[15:Rew:208959.1,34964.2] function(restrict(u,v,universal_class)) || subclass(image(u,v),domain_of(range_of(w))) equal(domain_of(domain_of(x)),universal_class) -> compatible(restrict(u,v,universal_class),x,inverse(w))*.
% 299.85/300.47  210295[17:SpR:209320.1,209013.3] function(u) function(v) || subclass(range_of(v),domain_of(segment(w,x,u)))* equal(domain_of(domain_of(y)),universal_class) -> compatible(v,y,restrict(w,x,identity_relation))*.
% 299.85/300.47  210526[17:SpL:210378.1,60.0] one_to_one(u) || member(v,image(w,image(x,identity_relation))) member(ordered_pair(inverse(u),v),cross_product(universal_class,universal_class)) -> member(ordered_pair(inverse(u),v),compose(w,x))*.
% 299.85/300.47  180202[5:Res:165860.0,2612.0] || member(not_subclass_element(u,intersection(v,complement(inverse(identity_relation)))),v)* -> subclass(singleton(not_subclass_element(u,intersection(v,complement(inverse(identity_relation))))),symmetrization_of(identity_relation))* subclass(u,intersection(v,complement(inverse(identity_relation)))).
% 299.85/300.47  179093[5:Rew:122494.0,179077.3] || member(u,v) subclass(v,w)* well_ordering(power_class(complement(inverse(identity_relation))),w)* -> member(ordered_pair(u,least(power_class(complement(inverse(identity_relation))),v)),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.85/300.47  215005[4:Res:212361.1,60.0] || subclass(omega,image(u,image(v,singleton(w)))) member(ordered_pair(w,least(element_relation,omega)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,least(element_relation,omega)),compose(u,v))*.
% 299.85/300.47  215154[20:Res:212523.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,regular(symmetrization_of(identity_relation))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,regular(symmetrization_of(identity_relation))),compose(u,v))*.
% 299.85/300.47  215262[4:Res:212539.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,least(element_relation,omega)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,least(element_relation,omega)),compose(u,v))*.
% 299.85/300.47  219951[15:Rew:219948.2,34834.3] single_valued_class(restrict(element_relation,universal_class,u)) || subclass(range_of(restrict(element_relation,universal_class,u)),v) equal(restrict(element_relation,universal_class,u),identity_relation) -> maps(restrict(element_relation,universal_class,u),universal_class,v)*.
% 299.85/300.47  220053[15:Rew:220050.2,34738.3] single_valued_class(flip(cross_product(u,universal_class))) || subclass(range_of(flip(cross_product(u,universal_class))),v) equal(flip(cross_product(u,universal_class)),identity_relation) -> maps(flip(cross_product(u,universal_class)),universal_class,v)*.
% 299.85/300.47  220584[5:Res:5172.1,5490.0] || subclass(universal_class,symmetric_difference(u,v)) subclass(union(u,v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(unordered_pair(x,y),least(omega,union(u,v)))),identity_relation)**.
% 299.85/300.47  220793[5:Res:27933.1,5490.0] || member(u,universal_class) subclass(union(v,w),x)* well_ordering(omega,x) -> member(u,complement(v)) equal(integer_of(ordered_pair(u,least(omega,union(v,w)))),identity_relation)**.
% 299.85/300.47  220907[5:Res:27934.1,5490.0] || member(u,universal_class) subclass(union(v,w),x)* well_ordering(omega,x) -> member(u,complement(w)) equal(integer_of(ordered_pair(u,least(omega,union(v,w)))),identity_relation)**.
% 299.85/300.47  221361[5:Res:5586.1,5490.0] || subclass(union(u,v),w)* well_ordering(omega,w) -> equal(symmetric_difference(u,v),identity_relation) equal(integer_of(ordered_pair(regular(symmetric_difference(u,v)),least(omega,union(u,v)))),identity_relation)**.
% 299.85/300.47  225213[5:SpR:5338.1,5541.1] || subclass(omega,domain_relation) -> equal(cross_product(u,v),identity_relation) equal(integer_of(regular(cross_product(u,v))),identity_relation) equal(domain_of(first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.47  225346[5:SpR:5338.1,5542.1] || subclass(omega,rest_relation) -> equal(cross_product(u,v),identity_relation) equal(integer_of(regular(cross_product(u,v))),identity_relation) equal(rest_of(first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.47  225456[5:Res:223085.1,60.0] || equal(complement(complement(image(u,image(v,singleton(w))))),universal_class)** member(ordered_pair(w,power_class(identity_relation)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,power_class(identity_relation)),compose(u,v)).
% 299.85/300.47  225517[5:SpR:5338.1,5543.1] || subclass(omega,successor_relation) -> equal(cross_product(u,v),identity_relation) equal(integer_of(regular(cross_product(u,v))),identity_relation) equal(successor(first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.47  226109[14:SpL:5337.2,202185.0] || member(cross_product(u,v),universal_class) subclass(omega,apply(choice,cross_product(u,v))) -> equal(cross_product(u,v),identity_relation) equal(singleton(first(apply(choice,cross_product(u,v)))),identity_relation)**.
% 299.85/300.47  226120[14:SpL:5337.2,202186.0] || member(cross_product(u,v),universal_class) equal(apply(choice,cross_product(u,v)),omega) -> equal(cross_product(u,v),identity_relation) equal(singleton(first(apply(choice,cross_product(u,v)))),identity_relation)**.
% 299.85/300.47  227384[5:Res:8836.1,5490.0] || subclass(symmetrization_of(u),v)* well_ordering(omega,v) -> equal(symmetric_difference(u,inverse(u)),identity_relation) equal(integer_of(ordered_pair(regular(symmetric_difference(u,inverse(u))),least(omega,symmetrization_of(u)))),identity_relation)**.
% 299.85/300.47  227536[5:Res:59.1,5602.0] || member(ordered_pair(u,regular(intersection(complement(image(v,image(w,singleton(u)))),x))),compose(v,w))* -> equal(intersection(complement(image(v,image(w,singleton(u)))),x),identity_relation).
% 299.85/300.47  227515[5:Res:24.2,5602.0] || member(regular(intersection(complement(intersection(u,v)),w)),v)* member(regular(intersection(complement(intersection(u,v)),w)),u)* -> equal(intersection(complement(intersection(u,v)),w),identity_relation).
% 299.85/300.47  227953[5:Res:59.1,5577.0] || member(ordered_pair(u,regular(intersection(v,complement(image(w,image(x,singleton(u))))))),compose(w,x))* -> equal(intersection(v,complement(image(w,image(x,singleton(u))))),identity_relation).
% 299.85/300.47  227933[5:Res:24.2,5577.0] || member(regular(intersection(u,complement(intersection(v,w)))),w)* member(regular(intersection(u,complement(intersection(v,w)))),v)* -> equal(intersection(u,complement(intersection(v,w))),identity_relation).
% 299.85/300.47  228654[5:Res:8902.1,5490.0] || subclass(successor(u),v)* well_ordering(omega,v) -> equal(symmetric_difference(u,singleton(u)),identity_relation) equal(integer_of(ordered_pair(regular(symmetric_difference(u,singleton(u))),least(omega,successor(u)))),identity_relation)**.
% 299.85/300.47  229239[5:SpL:8055.2,128.3] || well_ordering(u,universal_class) member(v,singleton(w)) subclass(singleton(w),x)* well_ordering(u,x)* member(ordered_pair(v,w),u)* -> equal(singleton(w),identity_relation).
% 299.85/300.47  229757[5:SpR:941.0,5585.1] ||  -> equal(symmetric_difference(union(u,v),union(complement(u),complement(v))),identity_relation) member(regular(symmetric_difference(union(u,v),union(complement(u),complement(v)))),complement(symmetric_difference(complement(u),complement(v))))*.
% 299.85/300.47  232335[0:Res:601.1,9.0] ||  -> subclass(restrict(unordered_pair(u,v),w,x),y) equal(not_subclass_element(restrict(unordered_pair(u,v),w,x),y),v)** equal(not_subclass_element(restrict(unordered_pair(u,v),w,x),y),u)**.
% 299.85/300.47  233945[0:Res:24.2,28903.1] || member(singleton(intersection(u,v)),v)* member(singleton(intersection(u,v)),u)* member(intersection(u,v),universal_class) -> member(singleton(singleton(singleton(intersection(u,v)))),element_relation)*.
% 299.85/300.47  233978[0:MRR:233946.0,176.0] || member(intersection(complement(u),complement(v)),universal_class) -> member(singleton(intersection(complement(u),complement(v))),union(u,v))* member(singleton(singleton(singleton(intersection(complement(u),complement(v))))),element_relation)*.
% 299.85/300.47  234532[5:Rew:233433.0,234512.2] || member(ordered_pair(ordered_pair(universal_class,identity_relation),u),v) member(ordered_pair(singleton(singleton(identity_relation)),u),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(singleton(singleton(identity_relation)),u),flip(v))*.
% 299.85/300.47  234533[5:Rew:233433.0,234511.2] || member(ordered_pair(ordered_pair(universal_class,u),identity_relation),v) member(ordered_pair(singleton(singleton(identity_relation)),u),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(singleton(singleton(identity_relation)),u),rotate(v))*.
% 299.85/300.47  235192[5:Res:24.2,8058.1] || member(least(u,complement(intersection(v,w))),w)* member(least(u,complement(intersection(v,w))),v)* well_ordering(u,universal_class) -> equal(complement(intersection(v,w)),identity_relation).
% 299.85/300.47  235647[5:Res:20387.1,5490.0] || subclass(rest_relation,rotate(u)) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),least(omega,u))),identity_relation)**.
% 299.85/300.47  235763[5:Res:20388.1,5490.0] || subclass(rest_relation,flip(u)) subclass(u,v)* well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),least(omega,u))),identity_relation)**.
% 299.85/300.47  235928[5:Res:5462.2,5377.1] || subclass(omega,symmetric_difference(u,v)) member(complement(union(u,v)),universal_class) -> equal(integer_of(apply(choice,complement(union(u,v)))),identity_relation)** equal(complement(union(u,v)),identity_relation).
% 299.85/300.47  236070[15:Res:235494.0,5490.0] || subclass(complement(singleton(ordered_pair(sum_class(range_of(identity_relation)),u))),v)* well_ordering(omega,v) -> equal(integer_of(ordered_pair(identity_relation,least(omega,complement(singleton(ordered_pair(sum_class(range_of(identity_relation)),u)))))),identity_relation)**.
% 299.85/300.47  237329[5:Res:5580.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(intersection(w,intersection(x,u)),identity_relation) equal(integer_of(ordered_pair(regular(intersection(w,intersection(x,u))),least(omega,u))),identity_relation)**.
% 299.85/300.47  237922[5:Res:5581.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(intersection(w,intersection(u,x)),identity_relation) equal(integer_of(ordered_pair(regular(intersection(w,intersection(u,x))),least(omega,u))),identity_relation)**.
% 299.85/300.47  238041[5:Rew:930.0,237859.0] ||  -> equal(intersection(u,symmetric_difference(complement(intersection(v,w)),union(v,w))),identity_relation) member(regular(intersection(u,symmetric_difference(complement(intersection(v,w)),union(v,w)))),complement(symmetric_difference(v,w)))*.
% 299.85/300.47  238718[5:Res:5605.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(intersection(intersection(w,u),x),identity_relation) equal(integer_of(ordered_pair(regular(intersection(intersection(w,u),x)),least(omega,u))),identity_relation)**.
% 299.85/300.47  239512[5:Res:5606.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> equal(intersection(intersection(u,w),x),identity_relation) equal(integer_of(ordered_pair(regular(intersection(intersection(u,w),x)),least(omega,u))),identity_relation)**.
% 299.85/300.47  239640[5:Rew:930.0,239440.0] ||  -> equal(intersection(symmetric_difference(complement(intersection(u,v)),union(u,v)),w),identity_relation) member(regular(intersection(symmetric_difference(complement(intersection(u,v)),union(u,v)),w)),complement(symmetric_difference(u,v)))*.
% 299.85/300.47  240335[5:Res:5604.2,5490.0] || subclass(u,v) subclass(v,w)* well_ordering(omega,w)* -> equal(intersection(u,x),identity_relation) equal(integer_of(ordered_pair(regular(intersection(u,x)),least(omega,v))),identity_relation)**.
% 299.85/300.47  240427[5:Rew:930.0,240277.1] || subclass(complement(symmetric_difference(u,v)),w) -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),identity_relation) member(regular(symmetric_difference(complement(intersection(u,v)),union(u,v))),w)*.
% 299.85/300.47  240928[5:Res:5579.2,5490.0] || subclass(u,v) subclass(v,w)* well_ordering(omega,w)* -> equal(intersection(x,u),identity_relation) equal(integer_of(ordered_pair(regular(intersection(x,u)),least(omega,v))),identity_relation)**.
% 299.85/300.47  242058[3:Res:28061.2,8150.0] inductive(symmetric_difference(cross_product(u,v),w)) || well_ordering(x,symmetric_difference(cross_product(u,v),w)) -> member(least(x,symmetric_difference(cross_product(u,v),w)),complement(restrict(w,u,v)))*.
% 299.85/300.47  242056[5:Res:5403.2,8150.0] || well_ordering(u,symmetric_difference(cross_product(v,w),x)) -> equal(symmetric_difference(cross_product(v,w),x),identity_relation) member(least(u,symmetric_difference(cross_product(v,w),x)),complement(restrict(x,v,w)))*.
% 299.85/300.47  242331[3:Res:28061.2,8147.0] inductive(symmetric_difference(u,cross_product(v,w))) || well_ordering(x,symmetric_difference(u,cross_product(v,w))) -> member(least(x,symmetric_difference(u,cross_product(v,w))),complement(restrict(u,v,w)))*.
% 299.85/300.47  242329[5:Res:5403.2,8147.0] || well_ordering(u,symmetric_difference(v,cross_product(w,x))) -> equal(symmetric_difference(v,cross_product(w,x)),identity_relation) member(least(u,symmetric_difference(v,cross_product(w,x))),complement(restrict(v,w,x)))*.
% 299.85/300.47  242443[5:Res:5606.1,756.0] ||  -> equal(intersection(intersection(cantor(restrict(u,v,singleton(w))),x),y),identity_relation) member(regular(intersection(intersection(cantor(restrict(u,v,singleton(w))),x),y)),segment(u,v,w))*.
% 299.85/300.47  242442[5:Res:5605.1,756.0] ||  -> equal(intersection(intersection(u,cantor(restrict(v,w,singleton(x)))),y),identity_relation) member(regular(intersection(intersection(u,cantor(restrict(v,w,singleton(x)))),y)),segment(v,w,x))*.
% 299.85/300.47  242441[5:Res:5581.1,756.0] ||  -> equal(intersection(u,intersection(cantor(restrict(v,w,singleton(x))),y)),identity_relation) member(regular(intersection(u,intersection(cantor(restrict(v,w,singleton(x))),y))),segment(v,w,x))*.
% 299.85/300.47  242440[5:Res:5580.1,756.0] ||  -> equal(intersection(u,intersection(v,cantor(restrict(w,x,singleton(y))))),identity_relation) member(regular(intersection(u,intersection(v,cantor(restrict(w,x,singleton(y)))))),segment(w,x,y))*.
% 299.85/300.47  242594[0:Rew:9097.0,242566.1] || member(not_subclass_element(complement(segment(cross_product(u,v),w,x)),y),cantor(restrict(cross_product(w,singleton(x)),u,v)))* -> subclass(complement(segment(cross_product(u,v),w,x)),y).
% 299.85/300.47  242724[0:Res:119.1,8435.0] || transitive(u,v) -> subclass(compose(restrict(u,v,v),restrict(u,v,v)),w) member(not_subclass_element(compose(restrict(u,v,v),restrict(u,v,v)),w),u)*.
% 299.85/300.47  244677[21:Res:5606.1,243787.1] || member(regular(intersection(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),v)),cross_product(universal_class,universal_class))* -> equal(intersection(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),v),identity_relation).
% 299.85/300.47  244676[21:Res:5605.1,243787.1] || member(regular(intersection(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),v)),cross_product(universal_class,universal_class))* -> equal(intersection(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),v),identity_relation).
% 299.85/300.47  244675[21:Res:5581.1,243787.1] || member(regular(intersection(u,intersection(complement(compose(complement(element_relation),inverse(element_relation))),v))),cross_product(universal_class,universal_class))* -> equal(intersection(u,intersection(complement(compose(complement(element_relation),inverse(element_relation))),v)),identity_relation).
% 299.85/300.47  244674[21:Res:5580.1,243787.1] || member(regular(intersection(u,intersection(v,complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class))* -> equal(intersection(u,intersection(v,complement(compose(complement(element_relation),inverse(element_relation))))),identity_relation).
% 299.85/300.47  247333[5:Rew:21037.0,247189.1,21037.0,247189.0] || member(symmetric_difference(complement(u),complement(singleton(u))),universal_class) -> equal(symmetric_difference(complement(u),complement(singleton(u))),identity_relation) member(apply(choice,symmetric_difference(complement(u),complement(singleton(u)))),successor(u))*.
% 299.85/300.47  247888[0:Res:2603.2,20349.2] || member(ordered_pair(u,rest_of(u)),cross_product(v,w))* member(ordered_pair(u,rest_of(u)),x)* member(u,universal_class) subclass(rest_relation,complement(restrict(x,v,w)))* -> .
% 299.85/300.47  248612[5:Rew:21036.0,248491.1,21036.0,248491.0] || member(symmetric_difference(complement(u),complement(inverse(u))),universal_class) -> equal(symmetric_difference(complement(u),complement(inverse(u))),identity_relation) member(apply(choice,symmetric_difference(complement(u),complement(inverse(u)))),symmetrization_of(u))*.
% 299.85/300.47  249250[5:Rew:249197.0,246766.0] || member(regular(intersection(u,union(v,image(element_relation,power_class(w))))),intersection(complement(v),power_class(complement(power_class(w)))))* -> equal(intersection(u,union(v,image(element_relation,power_class(w)))),identity_relation).
% 299.85/300.47  249256[0:Rew:249197.0,234086.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,power_class(complement(power_class(w)))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),image(element_relation,power_class(w)))* -> .
% 299.85/300.47  249390[5:Rew:249197.0,246767.0] || member(regular(intersection(union(u,image(element_relation,power_class(v))),w)),intersection(complement(u),power_class(complement(power_class(v)))))* -> equal(intersection(union(u,image(element_relation,power_class(v))),w),identity_relation).
% 299.85/300.47  249392[5:Rew:249197.0,246768.0] || subclass(omega,intersection(complement(u),power_class(complement(power_class(v)))))* -> equal(integer_of(regular(union(u,image(element_relation,power_class(v))))),identity_relation) equal(union(u,image(element_relation,power_class(v))),identity_relation).
% 299.85/300.47  249425[5:Rew:249197.0,246337.0] || member(regular(intersection(u,union(image(element_relation,power_class(v)),w))),intersection(power_class(complement(power_class(v))),complement(w)))* -> equal(intersection(u,union(image(element_relation,power_class(v)),w)),identity_relation).
% 299.85/300.47  249764[5:Rew:249197.0,246338.0] || member(regular(intersection(union(image(element_relation,power_class(u)),v),w)),intersection(power_class(complement(power_class(u))),complement(v)))* -> equal(intersection(union(image(element_relation,power_class(u)),v),w),identity_relation).
% 299.85/300.47  249766[5:Rew:249197.0,246339.0] || subclass(omega,intersection(power_class(complement(power_class(u))),complement(v)))* -> equal(integer_of(regular(union(image(element_relation,power_class(u)),v))),identity_relation) equal(union(image(element_relation,power_class(u)),v),identity_relation).
% 299.85/300.47  250315[5:Rew:250258.0,27699.0] || well_ordering(u,union(v,complement(power_class(identity_relation)))) -> equal(symmetric_difference(complement(v),power_class(identity_relation)),identity_relation) member(least(u,symmetric_difference(complement(v),power_class(identity_relation))),symmetric_difference(complement(v),power_class(identity_relation)))*.
% 299.85/300.47  250374[5:Rew:250258.0,28082.1] inductive(symmetric_difference(complement(u),power_class(identity_relation))) || well_ordering(v,union(u,complement(power_class(identity_relation)))) -> member(least(v,symmetric_difference(complement(u),power_class(identity_relation))),symmetric_difference(complement(u),power_class(identity_relation)))*.
% 299.85/300.47  250491[5:Rew:250286.0,26996.0] || well_ordering(u,union(v,complement(power_class(universal_class)))) -> equal(symmetric_difference(complement(v),power_class(universal_class)),identity_relation) member(least(u,symmetric_difference(complement(v),power_class(universal_class))),symmetric_difference(complement(v),power_class(universal_class)))*.
% 299.85/300.47  250499[5:Rew:250286.0,28081.1] inductive(symmetric_difference(complement(u),power_class(universal_class))) || well_ordering(v,union(u,complement(power_class(universal_class)))) -> member(least(v,symmetric_difference(complement(u),power_class(universal_class))),symmetric_difference(complement(u),power_class(universal_class)))*.
% 299.85/300.47  250567[5:Rew:250502.0,27672.0] || well_ordering(u,union(complement(power_class(identity_relation)),v)) -> equal(symmetric_difference(power_class(identity_relation),complement(v)),identity_relation) member(least(u,symmetric_difference(power_class(identity_relation),complement(v))),symmetric_difference(power_class(identity_relation),complement(v)))*.
% 299.85/300.47  250626[5:Rew:250502.0,28091.1] inductive(symmetric_difference(power_class(identity_relation),complement(u))) || well_ordering(v,union(complement(power_class(identity_relation)),u)) -> member(least(v,symmetric_difference(power_class(identity_relation),complement(u))),symmetric_difference(power_class(identity_relation),complement(u)))*.
% 299.85/300.47  250741[5:Rew:250538.0,27025.0] || well_ordering(u,union(complement(power_class(universal_class)),v)) -> equal(symmetric_difference(power_class(universal_class),complement(v)),identity_relation) member(least(u,symmetric_difference(power_class(universal_class),complement(v))),symmetric_difference(power_class(universal_class),complement(v)))*.
% 299.85/300.47  250749[5:Rew:250538.0,28090.1] inductive(symmetric_difference(power_class(universal_class),complement(u))) || well_ordering(v,union(complement(power_class(universal_class)),u)) -> member(least(v,symmetric_difference(power_class(universal_class),complement(u))),symmetric_difference(power_class(universal_class),complement(u)))*.
% 299.85/300.47  251183[0:Rew:249197.0,249227.3] || member(u,v) subclass(v,w)* well_ordering(power_class(complement(power_class(x))),w)* -> member(ordered_pair(u,least(power_class(complement(power_class(x))),v)),image(element_relation,power_class(x)))*.
% 299.85/300.47  251184[0:Rew:249197.0,249232.0] || member(u,union(complement(v),power_class(complement(power_class(w))))) member(u,union(v,image(element_relation,power_class(w)))) -> member(u,symmetric_difference(complement(v),power_class(complement(power_class(w)))))*.
% 299.85/300.47  251186[0:Rew:249197.0,249401.0] || member(u,union(power_class(complement(power_class(v))),complement(w))) member(u,union(image(element_relation,power_class(v)),w)) -> member(u,symmetric_difference(power_class(complement(power_class(v))),complement(w)))*.
% 299.85/300.47  251192[0:Rew:249197.0,249501.1,249197.0,249501.0] || member(u,union(power_class(v),complement(inverse(complement(power_class(v)))))) member(u,symmetrization_of(complement(power_class(v)))) -> member(u,symmetric_difference(power_class(v),complement(inverse(complement(power_class(v))))))*.
% 299.85/300.47  251193[0:Rew:249197.0,249517.1,249197.0,249517.0] || member(u,union(power_class(v),complement(singleton(complement(power_class(v)))))) member(u,successor(complement(power_class(v)))) -> member(u,symmetric_difference(power_class(v),complement(singleton(complement(power_class(v))))))*.
% 299.85/300.47  252613[5:Rew:251767.0,251921.2,251767.0,251921.1] || member(not_subclass_element(u,intersection(v,complement(power_class(universal_class)))),v)* -> subclass(singleton(not_subclass_element(u,intersection(v,complement(power_class(universal_class))))),power_class(universal_class))* subclass(u,intersection(v,complement(power_class(universal_class)))).
% 299.85/300.47  252615[5:Rew:251768.0,252119.2,251768.0,252119.1] || member(not_subclass_element(u,intersection(v,complement(power_class(identity_relation)))),v)* -> subclass(singleton(not_subclass_element(u,intersection(v,complement(power_class(identity_relation))))),power_class(identity_relation))* subclass(u,intersection(v,complement(power_class(identity_relation)))).
% 299.85/300.47  252217[7:Rew:251758.0,189647.3] || member(u,universal_class) well_ordering(v,image(element_relation,singleton(identity_relation))) -> member(u,power_class(complement(singleton(identity_relation))))* member(least(v,image(element_relation,singleton(identity_relation))),image(element_relation,singleton(identity_relation)))*.
% 299.85/300.47  252249[5:Rew:251759.0,179101.3] || member(u,universal_class) well_ordering(v,image(element_relation,symmetrization_of(identity_relation))) -> member(u,power_class(complement(inverse(identity_relation))))* member(least(v,image(element_relation,symmetrization_of(identity_relation))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.85/300.47  252259[0:Rew:251760.0,251200.3] || member(u,universal_class) well_ordering(v,image(element_relation,power_class(w))) -> member(u,power_class(complement(power_class(w))))* member(least(v,image(element_relation,power_class(w))),image(element_relation,power_class(w)))*.
% 299.85/300.47  253459[0:Res:3654.2,249201.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,image(element_relation,power_class(w))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),power_class(complement(power_class(w))))* -> .
% 299.85/300.47  254280[7:Rew:251758.0,254207.3] || member(u,v) subclass(v,w)* well_ordering(image(element_relation,singleton(identity_relation)),w)* -> member(ordered_pair(u,least(image(element_relation,singleton(identity_relation)),v)),power_class(complement(singleton(identity_relation))))*.
% 299.85/300.47  254536[5:Rew:251759.0,254463.3] || member(u,v) subclass(v,w)* well_ordering(image(element_relation,symmetrization_of(identity_relation)),w)* -> member(ordered_pair(u,least(image(element_relation,symmetrization_of(identity_relation)),v)),power_class(complement(inverse(identity_relation))))*.
% 299.85/300.47  254775[0:MRR:254725.0,641.0] || member(u,v) subclass(v,w)* well_ordering(image(element_relation,power_class(x)),w)* -> member(ordered_pair(u,least(image(element_relation,power_class(x)),v)),power_class(complement(power_class(x))))*.
% 299.85/300.47  255673[5:SpL:579.0,5336.0] || member(regular(union(image(element_relation,union(u,v)),w)),intersection(power_class(intersection(complement(u),complement(v))),complement(w)))* -> equal(union(image(element_relation,union(u,v)),w),identity_relation).
% 299.85/300.47  255650[5:SpL:579.0,5336.0] || member(regular(union(u,image(element_relation,union(v,w)))),intersection(complement(u),power_class(intersection(complement(v),complement(w)))))* -> equal(union(u,image(element_relation,union(v,w))),identity_relation).
% 299.85/300.47  256890[5:Res:5606.1,251410.0] || member(regular(intersection(intersection(intersection(power_class(u),complement(v)),w),x)),union(complement(power_class(u)),v))* -> equal(intersection(intersection(intersection(power_class(u),complement(v)),w),x),identity_relation).
% 299.85/300.47  256889[5:Res:5605.1,251410.0] || member(regular(intersection(intersection(u,intersection(power_class(v),complement(w))),x)),union(complement(power_class(v)),w))* -> equal(intersection(intersection(u,intersection(power_class(v),complement(w))),x),identity_relation).
% 299.85/300.47  256888[5:Res:5581.1,251410.0] || member(regular(intersection(u,intersection(intersection(power_class(v),complement(w)),x))),union(complement(power_class(v)),w))* -> equal(intersection(u,intersection(intersection(power_class(v),complement(w)),x)),identity_relation).
% 299.85/300.47  256887[5:Res:5580.1,251410.0] || member(regular(intersection(u,intersection(v,intersection(power_class(w),complement(x))))),union(complement(power_class(w)),x))* -> equal(intersection(u,intersection(v,intersection(power_class(w),complement(x)))),identity_relation).
% 299.85/300.47  257082[5:Res:5606.1,251419.0] || member(regular(intersection(intersection(intersection(complement(u),power_class(v)),w),x)),union(u,complement(power_class(v))))* -> equal(intersection(intersection(intersection(complement(u),power_class(v)),w),x),identity_relation).
% 299.85/300.47  257081[5:Res:5605.1,251419.0] || member(regular(intersection(intersection(u,intersection(complement(v),power_class(w))),x)),union(v,complement(power_class(w))))* -> equal(intersection(intersection(u,intersection(complement(v),power_class(w))),x),identity_relation).
% 299.85/300.47  257080[5:Res:5581.1,251419.0] || member(regular(intersection(u,intersection(intersection(complement(v),power_class(w)),x))),union(v,complement(power_class(w))))* -> equal(intersection(u,intersection(intersection(complement(v),power_class(w)),x)),identity_relation).
% 299.85/300.47  257079[5:Res:5580.1,251419.0] || member(regular(intersection(u,intersection(v,intersection(complement(w),power_class(x))))),union(w,complement(power_class(x))))* -> equal(intersection(u,intersection(v,intersection(complement(w),power_class(x)))),identity_relation).
% 299.85/300.47  258060[5:Res:8059.2,8150.0] || well_ordering(u,universal_class) -> equal(intersection(symmetric_difference(cross_product(v,w),x),y),identity_relation) member(least(u,intersection(symmetric_difference(cross_product(v,w),x),y)),complement(restrict(x,v,w)))*.
% 299.85/300.47  258056[5:Res:8059.2,8147.0] || well_ordering(u,universal_class) -> equal(intersection(symmetric_difference(v,cross_product(w,x)),y),identity_relation) member(least(u,intersection(symmetric_difference(v,cross_product(w,x)),y)),complement(restrict(v,w,x)))*.
% 299.85/300.47  258254[5:Res:8060.2,8150.0] || well_ordering(u,universal_class) -> equal(intersection(v,symmetric_difference(cross_product(w,x),y)),identity_relation) member(least(u,intersection(v,symmetric_difference(cross_product(w,x),y))),complement(restrict(y,w,x)))*.
% 299.85/300.47  258250[5:Res:8060.2,8147.0] || well_ordering(u,universal_class) -> equal(intersection(v,symmetric_difference(w,cross_product(x,y))),identity_relation) member(least(u,intersection(v,symmetric_difference(w,cross_product(x,y)))),complement(restrict(w,x,y)))*.
% 299.85/300.47  258774[5:Res:29204.2,3336.0] || member(u,v)* -> equal(regular(unordered_pair(w,x)),x)** equal(unordered_pair(w,x),identity_relation) equal(ordered_pair(first(ordered_pair(u,w)),second(ordered_pair(u,w))),ordered_pair(u,w))**.
% 299.85/300.47  258886[5:Res:29205.2,3336.0] || member(u,v)* -> equal(regular(unordered_pair(w,x)),w)** equal(unordered_pair(w,x),identity_relation) equal(ordered_pair(first(ordered_pair(u,x)),second(ordered_pair(u,x))),ordered_pair(u,x))**.
% 299.85/300.47  259005[5:Res:3728.1,8397.0] || equal(sum_class(restrict(u,v,w)),restrict(u,v,w)) -> equal(sum_class(restrict(u,v,w)),identity_relation) member(regular(sum_class(restrict(u,v,w))),cross_product(v,w))*.
% 299.85/300.47  259362[5:Res:30856.1,8097.1] || member(regular(u),union(v,w)) subclass(u,regular(intersection(v,w))) -> member(regular(u),symmetric_difference(v,w))* equal(u,identity_relation) equal(intersection(v,w),identity_relation).
% 299.85/300.47  260570[0:Res:260367.1,1014.1] || subclass(u,domain_of(restrict(v,w,intersection(x,u))))* section(v,intersection(x,u),w) -> equal(domain_of(restrict(v,w,intersection(x,u))),intersection(x,u)).
% 299.85/300.47  260561[0:Res:260367.1,989.1] || subclass(u,not_well_ordering(v,intersection(w,u)))* connected(v,intersection(w,u)) -> well_ordering(v,intersection(w,u)) equal(not_well_ordering(v,intersection(w,u)),intersection(w,u)).
% 299.85/300.47  260734[5:Res:260493.1,1014.1] || subclass(universal_class,domain_of(restrict(u,v,symmetric_difference(universal_class,w))))* section(u,symmetric_difference(universal_class,w),v) -> equal(domain_of(restrict(u,v,symmetric_difference(universal_class,w))),symmetric_difference(universal_class,w)).
% 299.85/300.47  260727[5:Res:260493.1,989.1] || subclass(universal_class,not_well_ordering(u,symmetric_difference(universal_class,v)))* connected(u,symmetric_difference(universal_class,v)) -> well_ordering(u,symmetric_difference(universal_class,v)) equal(not_well_ordering(u,symmetric_difference(universal_class,v)),symmetric_difference(universal_class,v)).
% 299.85/300.47  260898[0:Res:8216.1,8150.0] ||  -> subclass(intersection(u,intersection(v,symmetric_difference(cross_product(w,x),y))),z) member(not_subclass_element(intersection(u,intersection(v,symmetric_difference(cross_product(w,x),y))),z),complement(restrict(y,w,x)))*.
% 299.85/300.47  260894[0:Res:8216.1,8147.0] ||  -> subclass(intersection(u,intersection(v,symmetric_difference(w,cross_product(x,y)))),z) member(not_subclass_element(intersection(u,intersection(v,symmetric_difference(w,cross_product(x,y)))),z),complement(restrict(w,x,y)))*.
% 299.85/300.47  261468[0:Res:8215.1,8150.0] ||  -> subclass(intersection(u,intersection(symmetric_difference(cross_product(v,w),x),y)),z) member(not_subclass_element(intersection(u,intersection(symmetric_difference(cross_product(v,w),x),y)),z),complement(restrict(x,v,w)))*.
% 299.85/300.47  261464[0:Res:8215.1,8147.0] ||  -> subclass(intersection(u,intersection(symmetric_difference(v,cross_product(w,x)),y)),z) member(not_subclass_element(intersection(u,intersection(symmetric_difference(v,cross_product(w,x)),y)),z),complement(restrict(v,w,x)))*.
% 299.85/300.47  262372[0:Res:8310.1,8150.0] ||  -> subclass(intersection(intersection(u,symmetric_difference(cross_product(v,w),x)),y),z) member(not_subclass_element(intersection(intersection(u,symmetric_difference(cross_product(v,w),x)),y),z),complement(restrict(x,v,w)))*.
% 299.85/300.47  262368[0:Res:8310.1,8147.0] ||  -> subclass(intersection(intersection(u,symmetric_difference(v,cross_product(w,x))),y),z) member(not_subclass_element(intersection(intersection(u,symmetric_difference(v,cross_product(w,x))),y),z),complement(restrict(v,w,x)))*.
% 299.85/300.47  263063[0:Res:8309.1,8150.0] ||  -> subclass(intersection(intersection(symmetric_difference(cross_product(u,v),w),x),y),z) member(not_subclass_element(intersection(intersection(symmetric_difference(cross_product(u,v),w),x),y),z),complement(restrict(w,u,v)))*.
% 299.85/300.47  263059[0:Res:8309.1,8147.0] ||  -> subclass(intersection(intersection(symmetric_difference(u,cross_product(v,w)),x),y),z) member(not_subclass_element(intersection(intersection(symmetric_difference(u,cross_product(v,w)),x),y),z),complement(restrict(u,v,w)))*.
% 299.85/300.47  264508[7:Res:264355.0,3704.1] || member(u,universal_class) well_ordering(v,singleton(identity_relation)) -> member(u,successor(complement(singleton(identity_relation))))* member(least(v,complement(successor(complement(singleton(identity_relation))))),complement(successor(complement(singleton(identity_relation)))))*.
% 299.85/300.47  264534[5:Res:264356.0,3704.1] || member(u,universal_class) well_ordering(v,symmetrization_of(identity_relation)) -> member(u,successor(complement(inverse(identity_relation))))* member(least(v,complement(successor(complement(inverse(identity_relation))))),complement(successor(complement(inverse(identity_relation)))))*.
% 299.85/300.47  264559[7:Res:264409.0,3704.1] || member(u,universal_class) well_ordering(v,singleton(identity_relation)) -> member(u,symmetrization_of(complement(singleton(identity_relation))))* member(least(v,complement(symmetrization_of(complement(singleton(identity_relation))))),complement(symmetrization_of(complement(singleton(identity_relation)))))*.
% 299.85/300.47  264589[5:Res:264410.0,3704.1] || member(u,universal_class) well_ordering(v,symmetrization_of(identity_relation)) -> member(u,symmetrization_of(complement(inverse(identity_relation))))* member(least(v,complement(symmetrization_of(complement(inverse(identity_relation))))),complement(symmetrization_of(complement(inverse(identity_relation)))))*.
% 299.85/300.47  264652[0:Res:264357.0,3704.1] || member(u,universal_class) well_ordering(v,power_class(w)) -> member(u,successor(complement(power_class(w))))* member(least(v,complement(successor(complement(power_class(w))))),complement(successor(complement(power_class(w)))))*.
% 299.85/300.47  264684[0:Res:264411.0,3704.1] || member(u,universal_class) well_ordering(v,power_class(w)) -> member(u,symmetrization_of(complement(power_class(w))))* member(least(v,complement(symmetrization_of(complement(power_class(w))))),complement(symmetrization_of(complement(power_class(w)))))*.
% 299.85/300.47  264758[5:Res:261641.0,3705.2] || member(u,symmetric_difference(universal_class,v))* member(u,w)* well_ordering(x,complement(v)) -> member(least(x,intersection(w,symmetric_difference(universal_class,v))),intersection(w,symmetric_difference(universal_class,v)))*.
% 299.85/300.47  264892[5:Res:263389.0,3705.2] || member(u,v)* member(u,symmetric_difference(universal_class,w))* well_ordering(x,complement(w)) -> member(least(x,intersection(symmetric_difference(universal_class,w),v)),intersection(symmetric_difference(universal_class,w),v))*.
% 299.85/300.47  265523[5:Res:28995.3,595.0] function(restrict(u,v,w)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(restrict(u,v,w),identity_relation) member(least(element_relation,restrict(u,v,w)),cross_product(v,w))*.
% 299.85/300.47  265915[5:SpR:252738.0,5586.1] ||  -> equal(symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v))),identity_relation) member(regular(symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v)))),complement(intersection(power_class(complement(power_class(u))),power_class(v))))*.
% 299.85/300.47  266255[5:SpR:253065.0,5586.1] ||  -> equal(symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v))),identity_relation) member(regular(symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v)))),complement(intersection(power_class(u),power_class(complement(power_class(v))))))*.
% 299.85/300.47  267166[7:Res:263210.0,5215.0] || well_ordering(u,singleton(identity_relation)) -> equal(complement(union(v,complement(singleton(identity_relation)))),identity_relation) member(least(u,complement(union(v,complement(singleton(identity_relation))))),complement(union(v,complement(singleton(identity_relation)))))*.
% 299.85/300.47  267165[7:Res:263210.0,3692.1] inductive(complement(union(u,complement(singleton(identity_relation))))) || well_ordering(v,singleton(identity_relation)) -> member(least(v,complement(union(u,complement(singleton(identity_relation))))),complement(union(u,complement(singleton(identity_relation)))))*.
% 299.85/300.47  267211[5:Res:263211.0,5215.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(complement(union(v,complement(inverse(identity_relation)))),identity_relation) member(least(u,complement(union(v,complement(inverse(identity_relation))))),complement(union(v,complement(inverse(identity_relation)))))*.
% 299.85/300.47  267302[7:Res:264270.0,5215.0] || well_ordering(u,singleton(identity_relation)) -> equal(complement(union(complement(singleton(identity_relation)),v)),identity_relation) member(least(u,complement(union(complement(singleton(identity_relation)),v))),complement(union(complement(singleton(identity_relation)),v)))*.
% 299.85/300.47  267301[7:Res:264270.0,3692.1] inductive(complement(union(complement(singleton(identity_relation)),u))) || well_ordering(v,singleton(identity_relation)) -> member(least(v,complement(union(complement(singleton(identity_relation)),u))),complement(union(complement(singleton(identity_relation)),u)))*.
% 299.85/300.47  267356[5:Res:264271.0,5215.0] || well_ordering(u,symmetrization_of(identity_relation)) -> equal(complement(union(complement(inverse(identity_relation)),v)),identity_relation) member(least(u,complement(union(complement(inverse(identity_relation)),v))),complement(union(complement(inverse(identity_relation)),v)))*.
% 299.85/300.47  267645[5:Res:267563.0,3704.1] || member(u,universal_class) well_ordering(v,inverse(identity_relation)) -> member(u,successor(complement(inverse(identity_relation))))* member(least(v,complement(successor(complement(inverse(identity_relation))))),complement(successor(complement(inverse(identity_relation)))))*.
% 299.85/300.47  267661[5:Res:267564.0,3704.1] || member(u,universal_class) well_ordering(v,inverse(identity_relation)) -> member(u,symmetrization_of(complement(inverse(identity_relation))))* member(least(v,complement(symmetrization_of(complement(inverse(identity_relation))))),complement(symmetrization_of(complement(inverse(identity_relation)))))*.
% 299.85/300.47  267696[5:Res:267560.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(complement(complement(complement(complement(symmetrization_of(identity_relation))))),identity_relation) member(least(u,complement(complement(complement(complement(symmetrization_of(identity_relation)))))),complement(complement(complement(complement(symmetrization_of(identity_relation))))))*.
% 299.85/300.47  267786[5:Res:267559.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(complement(complement(intersection(v,symmetrization_of(identity_relation)))),identity_relation) member(least(u,complement(complement(intersection(v,symmetrization_of(identity_relation))))),complement(complement(intersection(v,symmetrization_of(identity_relation)))))*.
% 299.85/300.47  267877[5:Res:267561.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(complement(complement(intersection(symmetrization_of(identity_relation),v))),identity_relation) member(least(u,complement(complement(intersection(symmetrization_of(identity_relation),v)))),complement(complement(intersection(symmetrization_of(identity_relation),v))))*.
% 299.85/300.47  267987[5:Res:267565.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(complement(union(v,complement(inverse(identity_relation)))),identity_relation) member(least(u,complement(union(v,complement(inverse(identity_relation))))),complement(union(v,complement(inverse(identity_relation)))))*.
% 299.85/300.47  268017[5:Res:267566.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(complement(union(complement(inverse(identity_relation)),v)),identity_relation) member(least(u,complement(union(complement(inverse(identity_relation)),v))),complement(union(complement(inverse(identity_relation)),v)))*.
% 299.85/300.47  268063[5:Res:267567.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(intersection(complement(complement(symmetrization_of(identity_relation))),v),identity_relation) member(least(u,intersection(complement(complement(symmetrization_of(identity_relation))),v)),intersection(complement(complement(symmetrization_of(identity_relation))),v))*.
% 299.85/300.47  268153[5:Res:267571.0,5215.0] || well_ordering(u,inverse(identity_relation)) -> equal(intersection(v,complement(complement(symmetrization_of(identity_relation)))),identity_relation) member(least(u,intersection(v,complement(complement(symmetrization_of(identity_relation))))),intersection(v,complement(complement(symmetrization_of(identity_relation)))))*.
% 299.85/300.47  268343[5:Res:263849.0,5215.0] || well_ordering(u,range_of(v)) -> equal(symmetric_difference(universal_class,complement(cantor(inverse(v)))),identity_relation) member(least(u,symmetric_difference(universal_class,complement(cantor(inverse(v))))),symmetric_difference(universal_class,complement(cantor(inverse(v)))))*.
% 299.85/300.47  268342[5:Res:263849.0,3692.1] inductive(symmetric_difference(universal_class,complement(cantor(inverse(u))))) || well_ordering(v,range_of(u)) -> member(least(v,symmetric_difference(universal_class,complement(cantor(inverse(u))))),symmetric_difference(universal_class,complement(cantor(inverse(u)))))*.
% 299.85/300.47  268754[5:Rew:122711.0,268649.0] ||  -> equal(symmetric_difference(union(u,symmetric_difference(universal_class,v)),complement(w)),identity_relation) member(regular(symmetric_difference(union(u,symmetric_difference(universal_class,v)),complement(w))),union(intersection(complement(u),union(v,identity_relation)),w))*.
% 299.85/300.47  268755[5:Rew:122708.0,268648.0] ||  -> equal(symmetric_difference(union(symmetric_difference(universal_class,u),v),complement(w)),identity_relation) member(regular(symmetric_difference(union(symmetric_difference(universal_class,u),v),complement(w))),union(intersection(union(u,identity_relation),complement(v)),w))*.
% 299.85/300.47  268756[5:Rew:122711.0,268626.0] ||  -> equal(symmetric_difference(complement(u),union(v,symmetric_difference(universal_class,w))),identity_relation) member(regular(symmetric_difference(complement(u),union(v,symmetric_difference(universal_class,w)))),union(u,intersection(complement(v),union(w,identity_relation))))*.
% 299.85/300.47  268757[5:Rew:122708.0,268625.0] ||  -> equal(symmetric_difference(complement(u),union(symmetric_difference(universal_class,v),w)),identity_relation) member(regular(symmetric_difference(complement(u),union(symmetric_difference(universal_class,v),w))),union(u,intersection(union(v,identity_relation),complement(w))))*.
% 299.85/300.47  268883[5:Res:943.1,8098.0] || member(regular(intersection(u,regular(complement(intersection(v,w))))),symmetric_difference(v,w))* -> equal(intersection(u,regular(complement(intersection(v,w)))),identity_relation) equal(complement(intersection(v,w)),identity_relation).
% 299.85/300.47  268955[5:MRR:268887.3,204341.2] || member(regular(intersection(u,regular(intersection(v,w)))),w)* member(regular(intersection(u,regular(intersection(v,w)))),v)* -> equal(intersection(u,regular(intersection(v,w))),identity_relation).
% 299.85/300.47  268960[5:MRR:268903.2,204401.1] || member(ordered_pair(u,regular(intersection(v,regular(image(w,image(x,singleton(u))))))),compose(w,x))* -> equal(intersection(v,regular(image(w,image(x,singleton(u))))),identity_relation).
% 299.85/300.47  268961[5:MRR:268899.0,29542.1] ||  -> member(regular(intersection(u,regular(image(element_relation,power_class(v))))),power_class(complement(power_class(v))))* equal(intersection(u,regular(image(element_relation,power_class(v)))),identity_relation) equal(image(element_relation,power_class(v)),identity_relation).
% 299.85/300.47  269059[5:Res:943.1,8091.0] || member(regular(intersection(regular(complement(intersection(u,v))),w)),symmetric_difference(u,v))* -> equal(intersection(regular(complement(intersection(u,v))),w),identity_relation) equal(complement(intersection(u,v)),identity_relation).
% 299.85/300.47  269133[5:MRR:269063.3,204341.2] || member(regular(intersection(regular(intersection(u,v)),w)),v)* member(regular(intersection(regular(intersection(u,v)),w)),u)* -> equal(intersection(regular(intersection(u,v)),w),identity_relation).
% 299.85/300.47  269138[5:MRR:269080.2,204401.1] || member(ordered_pair(u,regular(intersection(regular(image(v,image(w,singleton(u)))),x))),compose(v,w))* -> equal(intersection(regular(image(v,image(w,singleton(u)))),x),identity_relation).
% 299.85/300.47  269139[5:MRR:269075.0,29542.1] ||  -> member(regular(intersection(regular(image(element_relation,power_class(u))),v)),power_class(complement(power_class(u))))* equal(intersection(regular(image(element_relation,power_class(u))),v),identity_relation) equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.47  269596[5:Res:5343.1,7532.1] || member(regular(restrict(power_class(intersection(complement(u),complement(v))),w,x)),image(element_relation,union(u,v)))* -> equal(restrict(power_class(intersection(complement(u),complement(v))),w,x),identity_relation).
% 299.85/300.47  270311[5:Rew:251233.0,270106.1,251233.0,270106.0] || member(symmetric_difference(power_class(u),complement(v)),universal_class) -> equal(symmetric_difference(power_class(u),complement(v)),identity_relation) member(apply(choice,symmetric_difference(power_class(u),complement(v))),union(complement(power_class(u)),v))*.
% 299.85/300.47  270534[0:SpR:251244.0,689.1] || member(u,universal_class) -> member(u,intersection(complement(v),union(intersection(power_class(w),complement(x)),y)))* member(u,union(v,intersection(union(complement(power_class(w)),x),complement(y)))).
% 299.85/300.47  270528[0:SpR:251244.0,8335.1] ||  -> subclass(symmetric_difference(union(complement(power_class(u)),v),complement(w)),x) member(not_subclass_element(symmetric_difference(union(complement(power_class(u)),v),complement(w)),x),union(intersection(power_class(u),complement(v)),w))*.
% 299.85/300.47  270513[0:SpR:251244.0,689.1] || member(u,universal_class) -> member(u,intersection(union(intersection(power_class(v),complement(w)),x),complement(y)))* member(u,union(intersection(union(complement(power_class(v)),w),complement(x)),y)).
% 299.85/300.47  270462[0:SpR:251244.0,9004.0] ||  -> subclass(symmetric_difference(union(intersection(power_class(u),complement(v)),w),complement(inverse(intersection(union(complement(power_class(u)),v),complement(w))))),symmetrization_of(intersection(union(complement(power_class(u)),v),complement(w))))*.
% 299.85/300.47  270441[0:SpR:251244.0,9005.0] ||  -> subclass(symmetric_difference(union(intersection(power_class(u),complement(v)),w),complement(singleton(intersection(union(complement(power_class(u)),v),complement(w))))),successor(intersection(union(complement(power_class(u)),v),complement(w))))*.
% 299.85/300.47  270779[5:Rew:270460.0,270480.0] ||  -> subclass(symmetric_difference(union(intersection(power_class(u),complement(v)),w),intersection(union(intersection(power_class(u),complement(v)),w),universal_class)),union(intersection(union(complement(power_class(u)),v),complement(w)),identity_relation))*.
% 299.85/300.47  270781[0:Rew:251244.0,270633.1] || member(not_subclass_element(union(intersection(power_class(u),complement(v)),w),x),intersection(union(complement(power_class(u)),v),complement(w)))* -> subclass(union(intersection(power_class(u),complement(v)),w),x).
% 299.85/300.47  270782[5:Rew:251244.0,270447.1] ||  -> member(regular(complement(union(intersection(power_class(u),complement(v)),w))),intersection(union(complement(power_class(u)),v),complement(w)))* equal(complement(union(intersection(power_class(u),complement(v)),w)),identity_relation).
% 299.85/300.47  30788[0:SpL:932.0,2599.1] || member(u,union(complement(intersection(v,singleton(v))),successor(v))) member(u,complement(symmetric_difference(v,singleton(v)))) -> member(u,symmetric_difference(complement(intersection(v,singleton(v))),successor(v)))*.
% 299.85/300.47  34422[5:Res:6971.1,3336.0] || member(cross_product(universal_class,universal_class),universal_class) member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,least(element_relation,domain_relation))),second(ordered_pair(u,least(element_relation,domain_relation)))),ordered_pair(u,least(element_relation,domain_relation)))**.
% 299.85/300.47  30787[0:SpL:931.0,2599.1] || member(u,union(complement(intersection(v,inverse(v))),symmetrization_of(v))) member(u,complement(symmetric_difference(v,inverse(v)))) -> member(u,symmetric_difference(complement(intersection(v,inverse(v))),symmetrization_of(v)))*.
% 299.85/300.47  29385[0:SpR:581.0,939.0] ||  -> equal(intersection(complement(restrict(intersection(complement(u),complement(v)),w,x)),complement(intersection(complement(cross_product(w,x)),union(u,v)))),symmetric_difference(cross_product(w,x),intersection(complement(u),complement(v))))**.
% 299.85/300.47  29232[0:SpR:580.0,938.0] ||  -> equal(intersection(complement(restrict(intersection(complement(u),complement(v)),w,x)),complement(intersection(union(u,v),complement(cross_product(w,x))))),symmetric_difference(intersection(complement(u),complement(v)),cross_product(w,x)))**.
% 299.85/300.47  118465[5:Rew:118446.0,31685.1] || asymmetric(cross_product(u,v),w) -> equal(symmetric_difference(cross_product(w,w),restrict(inverse(cross_product(u,v)),u,v)),union(cross_product(w,w),restrict(inverse(cross_product(u,v)),u,v)))**.
% 299.85/300.47  118468[5:Rew:118446.0,31686.1] || asymmetric(cross_product(u,v),w) -> equal(symmetric_difference(restrict(inverse(cross_product(u,v)),u,v),cross_product(w,w)),union(restrict(inverse(cross_product(u,v)),u,v),cross_product(w,w)))**.
% 299.85/300.47  118189[0:Rew:938.0,118109.1] || member(not_subclass_element(union(u,cross_product(v,w)),symmetric_difference(u,cross_product(v,w))),complement(restrict(u,v,w)))* -> subclass(union(u,cross_product(v,w)),symmetric_difference(u,cross_product(v,w))).
% 299.85/300.47  118188[0:Rew:939.0,118110.1] || member(not_subclass_element(union(cross_product(u,v),w),symmetric_difference(cross_product(u,v),w)),complement(restrict(w,u,v)))* -> subclass(union(cross_product(u,v),w),symmetric_difference(cross_product(u,v),w)).
% 299.85/300.47  28251[0:Res:2603.2,338.0] || member(not_subclass_element(complement(restrict(u,v,w)),x),cross_product(v,w))* member(not_subclass_element(complement(restrict(u,v,w)),x),u)* -> subclass(complement(restrict(u,v,w)),x).
% 299.85/300.47  36371[0:SpL:2089.1,94.0] || member(not_subclass_element(cross_product(u,v),w),compose_class(x)) -> subclass(cross_product(u,v),w) equal(compose(x,first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.47  34710[0:Rew:931.0,34620.2,931.0,34620.1] || member(not_subclass_element(u,symmetric_difference(v,inverse(v))),symmetrization_of(v)) member(not_subclass_element(u,symmetric_difference(v,inverse(v))),complement(intersection(v,inverse(v))))* -> subclass(u,symmetric_difference(v,inverse(v))).
% 299.85/300.47  34709[0:Rew:932.0,34621.2,932.0,34621.1] || member(not_subclass_element(u,symmetric_difference(v,singleton(v))),successor(v)) member(not_subclass_element(u,symmetric_difference(v,singleton(v))),complement(intersection(v,singleton(v))))* -> subclass(u,symmetric_difference(v,singleton(v))).
% 299.85/300.47  27976[0:Res:356.1,1043.0] ||  -> subclass(intersection(u,ordered_pair(v,w)),x) equal(not_subclass_element(intersection(u,ordered_pair(v,w)),x),unordered_pair(v,singleton(w)))** equal(not_subclass_element(intersection(u,ordered_pair(v,w)),x),singleton(v)).
% 299.85/300.47  27962[0:Res:366.1,1043.0] ||  -> subclass(intersection(ordered_pair(u,v),w),x) equal(not_subclass_element(intersection(ordered_pair(u,v),w),x),unordered_pair(u,singleton(v)))** equal(not_subclass_element(intersection(ordered_pair(u,v),w),x),singleton(u)).
% 299.85/300.47  47668[0:Res:29726.0,1043.0] ||  -> subclass(complement(complement(ordered_pair(u,v))),w) equal(not_subclass_element(complement(complement(ordered_pair(u,v))),w),unordered_pair(u,singleton(v)))** equal(not_subclass_element(complement(complement(ordered_pair(u,v))),w),singleton(u)).
% 299.85/300.47  164757[5:Rew:118447.0,153002.0] ||  -> equal(intersection(complement(symmetric_difference(complement(u),symmetric_difference(universal_class,u))),union(union(u,identity_relation),union(complement(u),symmetric_difference(universal_class,u)))),symmetric_difference(union(u,identity_relation),union(complement(u),symmetric_difference(universal_class,u))))**.
% 299.85/300.47  35257[5:SpL:5248.1,3757.1] || asymmetric(u,universal_class) member(universal_class,domain_of(intersection(u,inverse(u))))* equal(identity_relation,v) subclass(rest_of(intersection(u,inverse(u))),w)* -> member(ordered_pair(universal_class,v),w)*.
% 299.85/300.47  34011[5:SpR:5338.1,17.2] || member(second(regular(cross_product(u,v))),w) member(first(regular(cross_product(u,v))),x) -> equal(cross_product(u,v),identity_relation) member(regular(cross_product(u,v)),cross_product(x,w))*.
% 299.85/300.47  35261[5:SpL:5243.2,3757.1] || member(u,universal_class) member(singleton(u),domain_of(v))* equal(identity_relation,w) subclass(rest_of(v),x)* -> member(u,domain_of(v)) member(ordered_pair(singleton(u),w),x)*.
% 299.85/300.47  39413[5:Res:29628.0,18.0] ||  -> equal(complement(complement(cross_product(u,v))),identity_relation) equal(ordered_pair(first(regular(complement(complement(cross_product(u,v))))),second(regular(complement(complement(cross_product(u,v)))))),regular(complement(complement(cross_product(u,v)))))**.
% 299.85/300.47  183472[5:Res:558.1,5490.0] || member(restrict(element_relation,universal_class,u),universal_class) subclass(domain_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(restrict(element_relation,universal_class,u),sum_class(u)),least(omega,domain_relation))),identity_relation)**.
% 299.85/300.47  183473[5:Res:559.1,5490.0] || member(flip(cross_product(u,universal_class)),universal_class) subclass(domain_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(flip(cross_product(u,universal_class)),inverse(u)),least(omega,domain_relation))),identity_relation)**.
% 299.85/300.47  92785[0:Res:45819.1,3714.2] || subclass(cross_product(u,v),cantor(w))* member(x,v)* member(y,u)* well_ordering(z,domain_of(w))* -> member(least(z,cross_product(u,v)),cross_product(u,v))*.
% 299.85/300.47  36788[0:Res:608.1,3926.0] || member(least(cross_product(u,domain_of(v)),w),cantor(v))* member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,domain_of(v)),y)* -> .
% 299.85/300.47  46352[0:Res:4107.3,3924.0] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x)* subclass(flip(x),y)* well_ordering(universal_class,y) -> .
% 299.85/300.47  46353[0:Res:4116.3,3924.0] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x)* subclass(rotate(x),y)* well_ordering(universal_class,y) -> .
% 299.85/300.47  92557[0:Res:45819.1,3705.2] || subclass(intersection(u,v),cantor(w))* member(x,v)* member(x,u)* well_ordering(y,domain_of(w))* -> member(least(y,intersection(u,v)),intersection(u,v))*.
% 299.85/300.47  27955[0:MRR:27936.0,641.0] || member(u,v) subclass(v,w)* well_ordering(intersection(complement(x),complement(y)),w)* -> member(ordered_pair(u,least(intersection(complement(x),complement(y)),v)),union(x,y))*.
% 299.85/300.47  33199[0:MRR:33194.1,29469.1] || member(least(compose_class(u),v),universal_class)* equal(compose(u,w),least(compose_class(u),v))* member(w,v)* subclass(v,x)* well_ordering(compose_class(u),x)* -> .
% 299.85/300.47  37854[5:Res:5432.3,29473.0] || section(u,v,w) well_ordering(x,v) -> equal(domain_of(restrict(u,w,v)),identity_relation) member(least(x,domain_of(restrict(u,w,v))),cantor(restrict(u,w,v)))*.
% 299.85/300.47  84642[3:Res:133.1,3692.1] inductive(domain_of(restrict(u,v,w))) || section(u,w,v) well_ordering(x,w) -> member(least(x,domain_of(restrict(u,v,w))),domain_of(restrict(u,v,w)))*.
% 299.85/300.47  37968[5:SpL:5337.2,15.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),cross_product(w,x))* -> equal(cross_product(u,v),identity_relation) member(first(apply(choice,cross_product(u,v))),w).
% 299.85/300.47  37967[5:SpL:5337.2,142.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),rest_of(w)) -> equal(cross_product(u,v),identity_relation) member(first(apply(choice,cross_product(u,v))),domain_of(w))*.
% 299.85/300.47  37969[5:SpL:5337.2,16.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),cross_product(w,x))* -> equal(cross_product(u,v),identity_relation) member(second(apply(choice,cross_product(u,v))),x).
% 299.85/300.47  30712[5:Res:5331.2,595.0] || member(intersection(restrict(u,v,w),x),universal_class) -> equal(intersection(restrict(u,v,w),x),identity_relation) member(apply(choice,intersection(restrict(u,v,w),x)),cross_product(v,w))*.
% 299.85/300.47  30606[5:Res:5330.2,595.0] || member(intersection(u,restrict(v,w,x)),universal_class) -> equal(intersection(u,restrict(v,w,x)),identity_relation) member(apply(choice,intersection(u,restrict(v,w,x))),cross_product(w,x))*.
% 299.85/300.47  30849[5:Res:5329.3,2599.1] || member(u,universal_class) subclass(u,complement(intersection(v,w))) member(apply(choice,u),union(v,w)) -> equal(u,identity_relation) member(apply(choice,u),symmetric_difference(v,w))*.
% 299.85/300.47  183485[5:Res:5329.3,5490.0] || member(u,universal_class) subclass(u,v) subclass(v,w)* well_ordering(omega,w)* -> equal(u,identity_relation) equal(integer_of(ordered_pair(apply(choice,u),least(omega,v))),identity_relation)**.
% 299.85/300.47  5312[5:Rew:5180.0,5131.2] || subclass(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,regular(u)),cross_product(universal_class,universal_class)) -> equal(u,identity_relation) member(ordered_pair(x,regular(u)),compose(v,w))*.
% 299.85/300.47  32678[5:SpR:5380.1,3389.1] || member(image(choice,singleton(unordered_pair(u,v))),universal_class)* -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),u) subclass(v,image(choice,singleton(unordered_pair(u,v))))*.
% 299.85/300.47  32685[5:SpR:5380.2,3389.1] || member(image(choice,singleton(unordered_pair(u,v))),universal_class)* -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v) subclass(u,image(choice,singleton(unordered_pair(u,v))))*.
% 299.85/300.47  152795[0:Res:122840.1,60.0] || well_ordering(universal_class,complement(image(u,image(v,singleton(w)))))* member(ordered_pair(w,singleton(singleton(x))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,singleton(singleton(x))),compose(u,v))*.
% 299.85/300.47  30854[0:Res:827.3,2599.1] function(u) || member(v,universal_class) subclass(universal_class,complement(intersection(w,x))) member(image(u,v),union(w,x)) -> member(image(u,v),symmetric_difference(w,x))*.
% 299.85/300.47  183503[5:Res:827.3,5490.0] function(u) || member(v,universal_class) subclass(universal_class,w) subclass(w,x)* well_ordering(omega,x)* -> equal(integer_of(ordered_pair(image(u,v),least(omega,w))),identity_relation)**.
% 299.85/300.47  32375[5:MRR:32374.3,5184.0] inductive(u) || well_ordering(v,u) subclass(singleton(least(v,image(successor_relation,u))),image(successor_relation,u)) -> section(v,singleton(least(v,image(successor_relation,u))),image(successor_relation,u))*.
% 299.85/300.47  40238[5:Res:5507.2,1025.1] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class))* subclass(universal_class,complement(compose(v,w))) -> equal(image(v,image(w,singleton(u))),identity_relation).
% 299.85/300.47  121928[5:Rew:26481.1,121918.2] || member(ordered_pair(u,not_subclass_element(v,image(w,range_of(identity_relation)))),compose(w,regular(cross_product(singleton(u),universal_class))))* -> equal(cross_product(singleton(u),universal_class),identity_relation) subclass(v,image(w,range_of(identity_relation))).
% 299.85/300.47  39150[5:Rew:5309.0,39142.1,5309.0,39142.0] || member(ordered_pair(u,regular(image(v,range_of(identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,range_of(identity_relation)),identity_relation) member(ordered_pair(u,regular(image(v,range_of(identity_relation)))),compose(v,identity_relation))*.
% 299.85/300.47  192127[15:Rew:191735.0,192109.2] || member(ordered_pair(ordered_pair(range_of(identity_relation),identity_relation),u),v)* member(ordered_pair(singleton(singleton(identity_relation)),u),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(singleton(singleton(identity_relation)),u),flip(v)).
% 299.85/300.47  192128[15:Rew:191735.0,192108.2] || member(ordered_pair(ordered_pair(range_of(identity_relation),u),identity_relation),v)* member(ordered_pair(singleton(singleton(identity_relation)),u),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(singleton(singleton(identity_relation)),u),rotate(v)).
% 299.85/300.47  192491[12:SpL:192336.1,60.0] || member(u,universal_class) member(v,image(w,image(x,identity_relation))) member(ordered_pair(range_of(u),v),cross_product(universal_class,universal_class)) -> member(ordered_pair(range_of(u),v),compose(w,x))*.
% 299.85/300.47  192773[17:MRR:192758.3,5188.0] || member(first(not_subclass_element(cross_product(u,v),w)),domain_of(x)) member(ordered_pair(x,not_subclass_element(cross_product(u,v),w)),cross_product(universal_class,cross_product(universal_class,universal_class)))* -> subclass(cross_product(u,v),w).
% 299.85/300.47  197287[17:SpL:196425.0,60.0] || member(u,image(v,image(w,identity_relation))) member(ordered_pair(inverse(x),u),cross_product(universal_class,universal_class)) -> equal(range_of(x),identity_relation) member(ordered_pair(inverse(x),u),compose(v,w))*.
% 299.85/300.47  198913[5:Res:164613.0,5215.0] || well_ordering(u,union(v,identity_relation)) -> equal(symmetric_difference(complement(v),symmetric_difference(universal_class,v)),identity_relation) member(least(u,symmetric_difference(complement(v),symmetric_difference(universal_class,v))),symmetric_difference(complement(v),symmetric_difference(universal_class,v)))*.
% 299.85/300.47  198912[5:Res:164613.0,3692.1] inductive(symmetric_difference(complement(u),symmetric_difference(universal_class,u))) || well_ordering(v,union(u,identity_relation)) -> member(least(v,symmetric_difference(complement(u),symmetric_difference(universal_class,u))),symmetric_difference(complement(u),symmetric_difference(universal_class,u)))*.
% 299.85/300.47  200927[5:SpL:200704.1,60.0] || equal(u,universal_class) member(v,image(w,image(x,identity_relation))) member(ordered_pair(u,v),cross_product(universal_class,universal_class)) -> inductive(u) member(ordered_pair(u,v),compose(w,x))*.
% 299.85/300.47  202833[5:Res:5507.2,153534.1] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class))* equal(complement(compose(v,w)),universal_class) -> equal(image(v,image(w,singleton(u))),identity_relation).
% 299.85/300.47  204361[5:Res:4017.2,203257.1] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class))* equal(compose(v,w),identity_relation) -> subclass(image(v,image(w,singleton(u))),x).
% 299.85/300.47  204776[5:Res:4017.2,204710.1] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class))* subclass(compose(v,w),identity_relation) -> subclass(image(v,image(w,singleton(u))),x).
% 299.85/300.47  210273[15:Rew:210238.1,38289.1] one_to_one(restrict(u,v,universal_class)) || subclass(universal_class,domain_of(domain_of(w))) equal(domain_of(domain_of(x)),domain_of(restrict(u,v,universal_class))) -> compatible(restrict(u,v,universal_class),x,w)*.
% 299.85/300.47  121931[5:Rew:26481.1,121923.2] || member(ordered_pair(u,not_subclass_element(v,range_of(identity_relation))),compose(regular(cross_product(image(w,singleton(u)),universal_class)),w))* -> equal(cross_product(image(w,singleton(u)),universal_class),identity_relation) subclass(v,range_of(identity_relation)).
% 299.85/300.47  220398[5:Res:220369.1,3926.0] || member(least(cross_product(u,symmetrization_of(identity_relation)),v),inverse(identity_relation))* member(w,u)* member(w,v)* subclass(v,x)* well_ordering(cross_product(u,symmetrization_of(identity_relation)),x)* -> .
% 299.85/300.47  220654[20:Res:212352.1,60.0] || subclass(inverse(identity_relation),image(u,image(v,singleton(w)))) member(ordered_pair(w,regular(symmetrization_of(identity_relation))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,regular(symmetrization_of(identity_relation))),compose(u,v))*.
% 299.85/300.47  221450[20:Res:214397.1,60.0] || subclass(symmetrization_of(identity_relation),image(u,image(v,singleton(w)))) member(ordered_pair(w,regular(symmetrization_of(identity_relation))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,regular(symmetrization_of(identity_relation))),compose(u,v))*.
% 299.85/300.47  221737[15:SpL:9093.0,209009.1] function(u) || subclass(range_of(u),domain_of(image(cross_product(v,w),x))) equal(domain_of(domain_of(y)),universal_class) -> compatible(u,y,inverse(restrict(cross_product(x,universal_class),v,w)))*.
% 299.85/300.47  225951[5:MRR:225915.3,204351.2] || member(apply(choice,regular(restrict(u,v,w))),cross_product(v,w))* member(apply(choice,regular(restrict(u,v,w))),u)* -> equal(regular(restrict(u,v,w)),identity_relation).
% 299.85/300.47  230148[5:MRR:230098.3,204351.2] || member(not_subclass_element(regular(restrict(u,v,w)),x),cross_product(v,w))* member(not_subclass_element(regular(restrict(u,v,w)),x),u)* -> subclass(regular(restrict(u,v,w)),x).
% 299.85/300.47  231356[5:Res:133.1,5318.0] || section(u,restrict(v,w,x),y) -> equal(domain_of(restrict(u,y,restrict(v,w,x))),identity_relation) member(regular(domain_of(restrict(u,y,restrict(v,w,x)))),v)*.
% 299.85/300.47  231952[5:Res:5163.1,5490.0] || subclass(union(u,v),w)* well_ordering(omega,w) -> subclass(symmetric_difference(u,v),x) equal(integer_of(ordered_pair(not_subclass_element(symmetric_difference(u,v),x),least(omega,union(u,v)))),identity_relation)**.
% 299.85/300.47  234888[5:Res:26595.1,5490.0] || member(u,universal_class) subclass(domain_of(v),w)* well_ordering(omega,w) -> equal(apply(v,u),sum_class(range_of(identity_relation))) equal(integer_of(ordered_pair(u,least(omega,domain_of(v)))),identity_relation)**.
% 299.85/300.47  235211[5:Res:59.1,8058.1] || member(ordered_pair(u,least(v,complement(image(w,image(x,singleton(u)))))),compose(w,x))* well_ordering(v,universal_class) -> equal(complement(image(w,image(x,singleton(u)))),identity_relation).
% 299.85/300.47  235397[15:Rew:233634.0,235353.2] || member(ordered_pair(ordered_pair(range_of(identity_relation),u),v),w)* member(ordered_pair(ordered_pair(u,universal_class),v),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(ordered_pair(u,universal_class),v),flip(w)).
% 299.85/300.47  235398[15:Rew:233634.0,235352.2] || member(ordered_pair(ordered_pair(range_of(identity_relation),u),v),w)* member(ordered_pair(ordered_pair(v,universal_class),u),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(ordered_pair(v,universal_class),u),rotate(w)).
% 299.85/300.47  235399[15:Rew:233634.0,235297.1] || member(u,universal_class) member(ordered_pair(v,universal_class),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(range_of(identity_relation),v),u),w)* -> member(ordered_pair(ordered_pair(v,universal_class),u),flip(w)).
% 299.85/300.47  235400[15:Rew:233634.0,235296.1] || member(u,universal_class) member(ordered_pair(v,universal_class),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(range_of(identity_relation),u),v),w)* -> member(ordered_pair(ordered_pair(v,universal_class),u),rotate(w)).
% 299.85/300.47  235711[0:Res:20387.1,95.1] || subclass(rest_relation,rotate(cross_product(universal_class,universal_class))) equal(compose(u,ordered_pair(v,rest_of(ordered_pair(w,v)))),w) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(w,v))),w),compose_class(u))*.
% 299.85/300.47  235629[5:SpR:5338.1,20387.1] || subclass(rest_relation,rotate(u)) -> equal(cross_product(v,w),identity_relation) member(ordered_pair(ordered_pair(second(regular(cross_product(v,w))),rest_of(regular(cross_product(v,w)))),first(regular(cross_product(v,w)))),u)*.
% 299.85/300.47  235826[0:Res:20388.1,95.1] || subclass(rest_relation,flip(cross_product(universal_class,universal_class))) equal(compose(u,ordered_pair(v,w)),rest_of(ordered_pair(w,v))) -> member(ordered_pair(ordered_pair(v,w),rest_of(ordered_pair(w,v))),compose_class(u))*.
% 299.85/300.47  235749[5:SpR:5338.1,20388.1] || subclass(rest_relation,flip(u)) -> equal(cross_product(v,w),identity_relation) member(ordered_pair(regular(cross_product(v,w)),rest_of(ordered_pair(second(regular(cross_product(v,w))),first(regular(cross_product(v,w)))))),u)*.
% 299.85/300.47  235740[5:SpR:5338.1,20388.1] || subclass(rest_relation,flip(u)) -> equal(cross_product(v,w),identity_relation) member(ordered_pair(ordered_pair(second(regular(cross_product(v,w))),first(regular(cross_product(v,w)))),rest_of(regular(cross_product(v,w)))),u)*.
% 299.85/300.47  236189[5:Res:8837.1,5490.0] || subclass(symmetrization_of(u),v)* well_ordering(omega,v) -> subclass(symmetric_difference(u,inverse(u)),w) equal(integer_of(ordered_pair(not_subclass_element(symmetric_difference(u,inverse(u)),w),least(omega,symmetrization_of(u)))),identity_relation)**.
% 299.85/300.47  236261[5:Res:8903.1,5490.0] || subclass(successor(u),v)* well_ordering(omega,v) -> subclass(symmetric_difference(u,singleton(u)),w) equal(integer_of(ordered_pair(not_subclass_element(symmetric_difference(u,singleton(u)),w),least(omega,successor(u)))),identity_relation)**.
% 299.85/300.47  236474[0:Res:59.1,8214.0] || member(ordered_pair(u,not_subclass_element(intersection(v,complement(image(w,image(x,singleton(u))))),y)),compose(w,x))* -> subclass(intersection(v,complement(image(w,image(x,singleton(u))))),y).
% 299.85/300.47  236860[0:Res:59.1,8308.0] || member(ordered_pair(u,not_subclass_element(intersection(complement(image(v,image(w,singleton(u)))),x),y)),compose(v,w))* -> subclass(intersection(complement(image(v,image(w,singleton(u)))),x),y).
% 299.85/300.47  237349[5:Res:5580.1,9.0] ||  -> equal(intersection(u,intersection(v,unordered_pair(w,x))),identity_relation) equal(regular(intersection(u,intersection(v,unordered_pair(w,x)))),x)** equal(regular(intersection(u,intersection(v,unordered_pair(w,x)))),w)**.
% 299.85/300.47  237942[5:Res:5581.1,9.0] ||  -> equal(intersection(u,intersection(unordered_pair(v,w),x)),identity_relation) equal(regular(intersection(u,intersection(unordered_pair(v,w),x))),w)** equal(regular(intersection(u,intersection(unordered_pair(v,w),x))),v)**.
% 299.85/300.47  238738[5:Res:5605.1,9.0] ||  -> equal(intersection(intersection(u,unordered_pair(v,w)),x),identity_relation) equal(regular(intersection(intersection(u,unordered_pair(v,w)),x)),w)** equal(regular(intersection(intersection(u,unordered_pair(v,w)),x)),v)**.
% 299.85/300.47  239532[5:Res:5606.1,9.0] ||  -> equal(intersection(intersection(unordered_pair(u,v),w),x),identity_relation) equal(regular(intersection(intersection(unordered_pair(u,v),w),x)),v)** equal(regular(intersection(intersection(unordered_pair(u,v),w),x)),u)**.
% 299.85/300.47  240341[5:Res:5604.2,2599.1] || subclass(u,complement(intersection(v,w))) member(regular(intersection(u,x)),union(v,w)) -> equal(intersection(u,x),identity_relation) member(regular(intersection(u,x)),symmetric_difference(v,w))*.
% 299.85/300.47  240934[5:Res:5579.2,2599.1] || subclass(u,complement(intersection(v,w))) member(regular(intersection(x,u)),union(v,w)) -> equal(intersection(x,u),identity_relation) member(regular(intersection(x,u)),symmetric_difference(v,w))*.
% 299.85/300.47  241741[0:SpR:941.0,8335.1] ||  -> subclass(symmetric_difference(union(u,v),union(complement(u),complement(v))),w) member(not_subclass_element(symmetric_difference(union(u,v),union(complement(u),complement(v))),w),complement(symmetric_difference(complement(u),complement(v))))*.
% 299.85/300.47  242029[0:Res:3654.2,8150.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(cross_product(w,x),y)) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),complement(restrict(y,w,x)))*.
% 299.85/300.47  242301[0:Res:3654.2,8147.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,symmetric_difference(w,cross_product(x,y))) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),complement(restrict(w,x,y)))*.
% 299.85/300.47  242426[0:Res:3654.2,756.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cantor(restrict(w,x,singleton(y)))) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),segment(w,x,y))*.
% 299.85/300.47  243231[21:Rew:242761.0,162340.1] || member(universal_class,domain_of(complement(compose(complement(element_relation),inverse(element_relation)))))* equal(identity_relation,u) subclass(rest_of(complement(compose(complement(element_relation),inverse(element_relation)))),v)* -> member(ordered_pair(universal_class,u),v)*.
% 299.85/300.47  244659[21:Res:3654.2,243787.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,complement(compose(complement(element_relation),inverse(element_relation)))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),cross_product(universal_class,universal_class))* -> .
% 299.85/300.47  245851[5:Res:30217.2,5490.0] || member(u,universal_class) equal(successor(singleton(u)),u) subclass(successor_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(singleton(singleton(singleton(u))),least(omega,successor_relation))),identity_relation)**.
% 299.85/300.47  247242[5:SpR:122494.0,21037.0] ||  -> equal(intersection(successor(image(element_relation,symmetrization_of(identity_relation))),union(power_class(complement(inverse(identity_relation))),complement(singleton(image(element_relation,symmetrization_of(identity_relation)))))),symmetric_difference(power_class(complement(inverse(identity_relation))),complement(singleton(image(element_relation,symmetrization_of(identity_relation))))))**.
% 299.85/300.47  247240[7:SpR:189471.0,21037.0] ||  -> equal(intersection(successor(image(element_relation,singleton(identity_relation))),union(power_class(complement(singleton(identity_relation))),complement(singleton(image(element_relation,singleton(identity_relation)))))),symmetric_difference(power_class(complement(singleton(identity_relation))),complement(singleton(image(element_relation,singleton(identity_relation))))))**.
% 299.85/300.47  247179[5:SpR:21037.0,5585.1] ||  -> equal(symmetric_difference(successor(u),union(complement(u),complement(singleton(u)))),identity_relation) member(regular(symmetric_difference(successor(u),union(complement(u),complement(singleton(u))))),complement(symmetric_difference(complement(u),complement(singleton(u)))))*.
% 299.85/300.47  248536[5:SpR:122494.0,21036.0] ||  -> equal(intersection(symmetrization_of(image(element_relation,symmetrization_of(identity_relation))),union(power_class(complement(inverse(identity_relation))),complement(inverse(image(element_relation,symmetrization_of(identity_relation)))))),symmetric_difference(power_class(complement(inverse(identity_relation))),complement(inverse(image(element_relation,symmetrization_of(identity_relation))))))**.
% 299.85/300.47  248534[7:SpR:189471.0,21036.0] ||  -> equal(intersection(symmetrization_of(image(element_relation,singleton(identity_relation))),union(power_class(complement(singleton(identity_relation))),complement(inverse(image(element_relation,singleton(identity_relation)))))),symmetric_difference(power_class(complement(singleton(identity_relation))),complement(inverse(image(element_relation,singleton(identity_relation))))))**.
% 299.85/300.47  248481[5:SpR:21036.0,5585.1] ||  -> equal(symmetric_difference(symmetrization_of(u),union(complement(u),complement(inverse(u)))),identity_relation) member(regular(symmetric_difference(symmetrization_of(u),union(complement(u),complement(inverse(u))))),complement(symmetric_difference(complement(u),complement(inverse(u)))))*.
% 299.85/300.47  248721[5:Res:24180.2,5490.0] || member(u,universal_class) equal(rest_of(u),successor(u)) subclass(successor_relation,v) well_ordering(omega,v)* -> equal(integer_of(ordered_pair(ordered_pair(u,rest_of(u)),least(omega,successor_relation))),identity_relation)**.
% 299.85/300.47  249247[0:Rew:249197.0,246773.0] ||  -> member(not_subclass_element(u,image(element_relation,union(v,image(element_relation,power_class(w))))),power_class(intersection(complement(v),power_class(complement(power_class(w))))))* subclass(u,image(element_relation,union(v,image(element_relation,power_class(w))))).
% 299.85/300.47  249251[5:Rew:249197.0,246769.1] || well_ordering(u,universal_class) member(least(u,union(v,image(element_relation,power_class(w)))),intersection(complement(v),power_class(complement(power_class(w)))))* -> equal(union(v,image(element_relation,power_class(w))),identity_relation).
% 299.85/300.47  249252[0:Rew:249197.0,246770.0] || member(not_subclass_element(intersection(u,union(v,image(element_relation,power_class(w)))),x),intersection(complement(v),power_class(complement(power_class(w)))))* -> subclass(intersection(u,union(v,image(element_relation,power_class(w)))),x).
% 299.85/300.47  249333[5:Rew:249197.0,246772.0] || member(regular(image(element_relation,union(u,image(element_relation,power_class(v))))),power_class(intersection(complement(u),power_class(complement(power_class(v))))))* -> equal(image(element_relation,union(u,image(element_relation,power_class(v)))),identity_relation).
% 299.85/300.47  249379[0:Rew:249197.0,246413.0] ||  -> equal(power_class(intersection(union(u,image(element_relation,power_class(v))),complement(inverse(intersection(complement(u),power_class(complement(power_class(v)))))))),complement(image(element_relation,symmetrization_of(intersection(complement(u),power_class(complement(power_class(v))))))))**.
% 299.85/300.47  249383[0:Rew:249197.0,246411.0] ||  -> equal(power_class(intersection(union(u,image(element_relation,power_class(v))),complement(singleton(intersection(complement(u),power_class(complement(power_class(v)))))))),complement(image(element_relation,successor(intersection(complement(u),power_class(complement(power_class(v))))))))**.
% 299.85/300.47  249391[5:Rew:249197.0,246774.0] || subclass(omega,intersection(complement(u),power_class(complement(power_class(v))))) -> equal(integer_of(not_subclass_element(union(u,image(element_relation,power_class(v))),w)),identity_relation)** subclass(union(u,image(element_relation,power_class(v))),w).
% 299.85/300.47  249393[0:Rew:249197.0,246771.0] || member(not_subclass_element(intersection(union(u,image(element_relation,power_class(v))),w),x),intersection(complement(u),power_class(complement(power_class(v)))))* -> subclass(intersection(union(u,image(element_relation,power_class(v))),w),x).
% 299.85/300.47  249422[0:Rew:249197.0,246344.0] ||  -> member(not_subclass_element(u,image(element_relation,union(image(element_relation,power_class(v)),w))),power_class(intersection(power_class(complement(power_class(v))),complement(w))))* subclass(u,image(element_relation,union(image(element_relation,power_class(v)),w))).
% 299.85/300.47  249426[5:Rew:249197.0,246340.1] || well_ordering(u,universal_class) member(least(u,union(image(element_relation,power_class(v)),w)),intersection(power_class(complement(power_class(v))),complement(w)))* -> equal(union(image(element_relation,power_class(v)),w),identity_relation).
% 299.85/300.47  249427[0:Rew:249197.0,246341.0] || member(not_subclass_element(intersection(u,union(image(element_relation,power_class(v)),w)),x),intersection(power_class(complement(power_class(v))),complement(w)))* -> subclass(intersection(u,union(image(element_relation,power_class(v)),w)),x).
% 299.85/300.47  249707[5:Rew:249197.0,246343.0] || member(regular(image(element_relation,union(image(element_relation,power_class(u)),v))),power_class(intersection(power_class(complement(power_class(u))),complement(v))))* -> equal(image(element_relation,union(image(element_relation,power_class(u)),v)),identity_relation).
% 299.85/300.47  249753[0:Rew:249197.0,245988.0] ||  -> equal(power_class(intersection(union(image(element_relation,power_class(u)),v),complement(inverse(intersection(power_class(complement(power_class(u))),complement(v)))))),complement(image(element_relation,symmetrization_of(intersection(power_class(complement(power_class(u))),complement(v))))))**.
% 299.85/300.47  249757[0:Rew:249197.0,245986.0] ||  -> equal(power_class(intersection(union(image(element_relation,power_class(u)),v),complement(singleton(intersection(power_class(complement(power_class(u))),complement(v)))))),complement(image(element_relation,successor(intersection(power_class(complement(power_class(u))),complement(v))))))**.
% 299.85/300.47  249765[5:Rew:249197.0,246345.0] || subclass(omega,intersection(power_class(complement(power_class(u))),complement(v))) -> equal(integer_of(not_subclass_element(union(image(element_relation,power_class(u)),v),w)),identity_relation)** subclass(union(image(element_relation,power_class(u)),v),w).
% 299.85/300.47  249767[0:Rew:249197.0,246342.0] || member(not_subclass_element(intersection(union(image(element_relation,power_class(u)),v),w),x),intersection(power_class(complement(power_class(u))),complement(v)))* -> subclass(intersection(union(image(element_relation,power_class(u)),v),w),x).
% 299.85/300.47  249867[0:Rew:249197.0,247239.0] ||  -> equal(intersection(successor(image(element_relation,power_class(u))),union(power_class(complement(power_class(u))),complement(singleton(image(element_relation,power_class(u)))))),symmetric_difference(power_class(complement(power_class(u))),complement(singleton(image(element_relation,power_class(u))))))**.
% 299.85/300.47  249868[0:Rew:249197.0,248533.0] ||  -> equal(intersection(symmetrization_of(image(element_relation,power_class(u))),union(power_class(complement(power_class(u))),complement(inverse(image(element_relation,power_class(u)))))),symmetric_difference(power_class(complement(power_class(u))),complement(inverse(image(element_relation,power_class(u))))))**.
% 299.85/300.47  250054[0:Rew:249197.0,244979.0] ||  -> equal(power_class(intersection(symmetrization_of(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(inverse(complement(power_class(u))))))))),complement(image(element_relation,symmetrization_of(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))))**.
% 299.85/300.47  250058[0:Rew:249197.0,244977.0] ||  -> equal(power_class(intersection(symmetrization_of(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(inverse(complement(power_class(u))))))))),complement(image(element_relation,successor(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))))**.
% 299.85/300.47  250179[0:Rew:249197.0,245392.0] ||  -> equal(power_class(intersection(successor(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(singleton(complement(power_class(u))))))))),complement(image(element_relation,symmetrization_of(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))))**.
% 299.85/300.47  250183[0:Rew:249197.0,245390.0] ||  -> equal(power_class(intersection(successor(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(singleton(complement(power_class(u))))))))),complement(image(element_relation,successor(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))))**.
% 299.85/300.47  251191[5:Rew:249197.0,249331.1] || member(regular(power_class(intersection(complement(u),power_class(complement(power_class(v)))))),image(element_relation,union(u,image(element_relation,power_class(v)))))* -> equal(power_class(intersection(complement(u),power_class(complement(power_class(v))))),identity_relation).
% 299.85/300.47  251194[5:Rew:249197.0,249705.1] || member(regular(power_class(intersection(power_class(complement(power_class(u))),complement(v)))),image(element_relation,union(image(element_relation,power_class(u)),v)))* -> equal(power_class(intersection(power_class(complement(power_class(u))),complement(v))),identity_relation).
% 299.85/300.47  251202[5:Rew:249197.0,249961.1,249197.0,249961.0] || member(symmetrization_of(complement(power_class(u))),universal_class) member(apply(choice,symmetrization_of(complement(power_class(u)))),intersection(power_class(u),complement(inverse(complement(power_class(u))))))* -> equal(symmetrization_of(complement(power_class(u))),identity_relation).
% 299.85/300.47  251203[5:Rew:249197.0,250088.1,249197.0,250088.0] || member(successor(complement(power_class(u))),universal_class) member(apply(choice,successor(complement(power_class(u)))),intersection(power_class(u),complement(singleton(complement(power_class(u))))))* -> equal(successor(complement(power_class(u))),identity_relation).
% 299.85/300.47  252935[5:Rew:249200.0,252813.2,249200.0,252813.0] || member(union(u,complement(power_class(v))),universal_class) member(apply(choice,union(u,complement(power_class(v)))),intersection(complement(u),power_class(v)))* -> equal(union(u,complement(power_class(v))),identity_relation).
% 299.85/300.47  253267[5:Rew:249208.0,253146.2,249208.0,253146.0] || member(union(complement(power_class(u)),v),universal_class) member(apply(choice,union(complement(power_class(u)),v)),intersection(power_class(u),complement(v)))* -> equal(union(complement(power_class(u)),v),identity_relation).
% 299.85/300.47  254079[7:SpR:251758.0,21036.0] ||  -> equal(intersection(symmetrization_of(power_class(complement(singleton(identity_relation)))),union(image(element_relation,singleton(identity_relation)),complement(inverse(power_class(complement(singleton(identity_relation))))))),symmetric_difference(image(element_relation,singleton(identity_relation)),complement(inverse(power_class(complement(singleton(identity_relation)))))))**.
% 299.85/300.47  254078[7:SpR:251758.0,21037.0] ||  -> equal(intersection(successor(power_class(complement(singleton(identity_relation)))),union(image(element_relation,singleton(identity_relation)),complement(singleton(power_class(complement(singleton(identity_relation))))))),symmetric_difference(image(element_relation,singleton(identity_relation)),complement(singleton(power_class(complement(singleton(identity_relation)))))))**.
% 299.85/300.47  254336[5:SpR:251759.0,21036.0] ||  -> equal(intersection(symmetrization_of(power_class(complement(inverse(identity_relation)))),union(image(element_relation,symmetrization_of(identity_relation)),complement(inverse(power_class(complement(inverse(identity_relation))))))),symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(inverse(power_class(complement(inverse(identity_relation)))))))**.
% 299.85/300.47  254335[5:SpR:251759.0,21037.0] ||  -> equal(intersection(successor(power_class(complement(inverse(identity_relation)))),union(image(element_relation,symmetrization_of(identity_relation)),complement(singleton(power_class(complement(inverse(identity_relation))))))),symmetric_difference(image(element_relation,symmetrization_of(identity_relation)),complement(singleton(power_class(complement(inverse(identity_relation)))))))**.
% 299.85/300.47  255665[5:SpL:122711.0,5336.0] || member(regular(union(intersection(complement(u),union(v,identity_relation)),w)),intersection(union(u,symmetric_difference(universal_class,v)),complement(w)))* -> equal(union(intersection(complement(u),union(v,identity_relation)),w),identity_relation).
% 299.85/300.47  255664[5:SpL:122708.0,5336.0] || member(regular(union(intersection(union(u,identity_relation),complement(v)),w)),intersection(union(symmetric_difference(universal_class,u),v),complement(w)))* -> equal(union(intersection(union(u,identity_relation),complement(v)),w),identity_relation).
% 299.85/300.47  255642[5:SpL:122711.0,5336.0] || member(regular(union(u,intersection(complement(v),union(w,identity_relation)))),intersection(complement(u),union(v,symmetric_difference(universal_class,w))))* -> equal(union(u,intersection(complement(v),union(w,identity_relation))),identity_relation).
% 299.85/300.47  255641[5:SpL:122708.0,5336.0] || member(regular(union(u,intersection(union(v,identity_relation),complement(w)))),intersection(complement(u),union(symmetric_difference(universal_class,v),w)))* -> equal(union(u,intersection(union(v,identity_relation),complement(w))),identity_relation).
% 299.85/300.47  256903[3:Res:28061.2,251410.0] inductive(intersection(power_class(u),complement(v))) || well_ordering(w,intersection(power_class(u),complement(v))) member(least(w,intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))* -> .
% 299.85/300.47  256901[5:Res:5403.2,251410.0] || well_ordering(u,intersection(power_class(v),complement(w))) member(least(u,intersection(power_class(v),complement(w))),union(complement(power_class(v)),w))* -> equal(intersection(power_class(v),complement(w)),identity_relation).
% 299.85/300.47  256849[5:Res:5216.2,251410.0] || member(intersection(power_class(u),complement(v)),universal_class) member(apply(choice,intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))* -> equal(intersection(power_class(u),complement(v)),identity_relation).
% 299.85/300.47  257095[3:Res:28061.2,251419.0] inductive(intersection(complement(u),power_class(v))) || well_ordering(w,intersection(complement(u),power_class(v))) member(least(w,intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))* -> .
% 299.85/300.47  257093[5:Res:5403.2,251419.0] || well_ordering(u,intersection(complement(v),power_class(w))) member(least(u,intersection(complement(v),power_class(w))),union(v,complement(power_class(w))))* -> equal(intersection(complement(v),power_class(w)),identity_relation).
% 299.85/300.47  257041[5:Res:5216.2,251419.0] || member(intersection(complement(u),power_class(v)),universal_class) member(apply(choice,intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))* -> equal(intersection(complement(u),power_class(v)),identity_relation).
% 299.85/300.47  257260[3:Res:28061.2,20569.2] inductive(union(u,v)) || well_ordering(w,union(u,v)) member(least(w,union(u,v)),complement(v))* member(least(w,union(u,v)),complement(u))* -> .
% 299.85/300.47  257258[5:Res:5403.2,20569.2] || well_ordering(u,union(v,w)) member(least(u,union(v,w)),complement(w))* member(least(u,union(v,w)),complement(v))* -> equal(union(v,w),identity_relation).
% 299.85/300.47  257255[0:Res:29726.0,20569.2] || member(not_subclass_element(complement(complement(union(u,v))),w),complement(v))* member(not_subclass_element(complement(complement(union(u,v))),w),complement(u))* -> subclass(complement(complement(union(u,v))),w).
% 299.85/300.47  257212[0:Res:356.1,20569.2] || member(not_subclass_element(intersection(u,union(v,w)),x),complement(w))* member(not_subclass_element(intersection(u,union(v,w)),x),complement(v))* -> subclass(intersection(u,union(v,w)),x).
% 299.85/300.47  257196[5:Res:5216.2,20569.2] || member(union(u,v),universal_class) member(apply(choice,union(u,v)),complement(v))* member(apply(choice,union(u,v)),complement(u))* -> equal(union(u,v),identity_relation).
% 299.85/300.47  257192[0:Res:366.1,20569.2] || member(not_subclass_element(intersection(union(u,v),w),x),complement(v))* member(not_subclass_element(intersection(union(u,v),w),x),complement(u))* -> subclass(intersection(union(u,v),w),x).
% 299.85/300.47  257555[5:MRR:257554.0,176.0] || subclass(regular(ordered_pair(u,v)),w)* well_ordering(x,w)* -> equal(regular(ordered_pair(u,v)),singleton(u)) member(least(x,regular(ordered_pair(u,v))),regular(ordered_pair(u,v)))*.
% 299.85/300.47  258081[21:Res:8059.2,243787.1] || well_ordering(u,universal_class) member(least(u,intersection(complement(compose(complement(element_relation),inverse(element_relation))),v)),cross_product(universal_class,universal_class))* -> equal(intersection(complement(compose(complement(element_relation),inverse(element_relation))),v),identity_relation).
% 299.85/300.47  258067[5:Res:8059.2,756.0] || well_ordering(u,universal_class) -> equal(intersection(cantor(restrict(v,w,singleton(x))),y),identity_relation) member(least(u,intersection(cantor(restrict(v,w,singleton(x))),y)),segment(v,w,x))*.
% 299.85/300.47  258063[5:Res:8059.2,9.0] || well_ordering(u,universal_class) -> equal(intersection(unordered_pair(v,w),x),identity_relation) equal(least(u,intersection(unordered_pair(v,w),x)),w)** equal(least(u,intersection(unordered_pair(v,w),x)),v)**.
% 299.85/300.47  258051[5:Res:8059.2,251419.0] || well_ordering(u,universal_class) member(least(u,intersection(intersection(complement(v),power_class(w)),x)),union(v,complement(power_class(w))))* -> equal(intersection(intersection(complement(v),power_class(w)),x),identity_relation).
% 299.85/300.47  258050[5:Res:8059.2,251410.0] || well_ordering(u,universal_class) member(least(u,intersection(intersection(power_class(v),complement(w)),x)),union(complement(power_class(v)),w))* -> equal(intersection(intersection(power_class(v),complement(w)),x),identity_relation).
% 299.85/300.47  258038[5:Res:8059.2,5490.0] || well_ordering(u,universal_class) subclass(v,w)* well_ordering(omega,w)* -> equal(intersection(v,x),identity_relation) equal(integer_of(ordered_pair(least(u,intersection(v,x)),least(omega,v))),identity_relation)**.
% 299.85/300.47  258122[5:Rew:930.0,257973.1] || well_ordering(u,universal_class) -> equal(symmetric_difference(complement(intersection(v,w)),union(v,w)),identity_relation) member(least(u,symmetric_difference(complement(intersection(v,w)),union(v,w))),complement(symmetric_difference(v,w)))*.
% 299.85/300.47  258275[21:Res:8060.2,243787.1] || well_ordering(u,universal_class) member(least(u,intersection(v,complement(compose(complement(element_relation),inverse(element_relation))))),cross_product(universal_class,universal_class))* -> equal(intersection(v,complement(compose(complement(element_relation),inverse(element_relation)))),identity_relation).
% 299.85/300.47  258261[5:Res:8060.2,756.0] || well_ordering(u,universal_class) -> equal(intersection(v,cantor(restrict(w,x,singleton(y)))),identity_relation) member(least(u,intersection(v,cantor(restrict(w,x,singleton(y))))),segment(w,x,y))*.
% 299.85/300.47  258257[5:Res:8060.2,9.0] || well_ordering(u,universal_class) -> equal(intersection(v,unordered_pair(w,x)),identity_relation) equal(least(u,intersection(v,unordered_pair(w,x))),x)** equal(least(u,intersection(v,unordered_pair(w,x))),w)**.
% 299.85/300.47  258245[5:Res:8060.2,251419.0] || well_ordering(u,universal_class) member(least(u,intersection(v,intersection(complement(w),power_class(x)))),union(w,complement(power_class(x))))* -> equal(intersection(v,intersection(complement(w),power_class(x))),identity_relation).
% 299.85/300.47  258244[5:Res:8060.2,251410.0] || well_ordering(u,universal_class) member(least(u,intersection(v,intersection(power_class(w),complement(x)))),union(complement(power_class(w)),x))* -> equal(intersection(v,intersection(power_class(w),complement(x))),identity_relation).
% 299.85/300.47  258232[5:Res:8060.2,5490.0] || well_ordering(u,universal_class) subclass(v,w)* well_ordering(omega,w)* -> equal(intersection(x,v),identity_relation) equal(integer_of(ordered_pair(least(u,intersection(x,v)),least(omega,v))),identity_relation)**.
% 299.85/300.47  258351[5:Res:8057.3,2599.1] || well_ordering(u,universal_class) subclass(v,complement(intersection(w,x))) member(least(u,v),union(w,x)) -> equal(v,identity_relation) member(least(u,v),symmetric_difference(w,x))*.
% 299.85/300.47  258345[5:Res:8057.3,5490.0] || well_ordering(u,universal_class) subclass(v,w) subclass(w,x)* well_ordering(omega,x)* -> equal(v,identity_relation) equal(integer_of(ordered_pair(least(u,v),least(omega,w))),identity_relation)**.
% 299.85/300.47  259016[5:Res:119.1,8397.0] || transitive(u,v) -> equal(compose(restrict(u,v,v),restrict(u,v,v)),identity_relation) member(regular(compose(restrict(u,v,v),restrict(u,v,v))),cross_product(v,v))*.
% 299.85/300.47  260339[0:Res:8213.2,1043.0] || subclass(u,ordered_pair(v,w))* -> subclass(intersection(x,u),y) equal(not_subclass_element(intersection(x,u),y),unordered_pair(v,singleton(w)))* equal(not_subclass_element(intersection(x,u),y),singleton(v)).
% 299.85/300.47  260324[0:Res:8213.2,20569.2] || subclass(u,union(v,w))* member(not_subclass_element(intersection(x,u),y),complement(w))* member(not_subclass_element(intersection(x,u),y),complement(v))* -> subclass(intersection(x,u),y).
% 299.85/300.47  260300[5:Res:8213.2,5490.0] || subclass(u,v) subclass(v,w)* well_ordering(omega,w)* -> subclass(intersection(x,u),y) equal(integer_of(ordered_pair(not_subclass_element(intersection(x,u),y),least(omega,v))),identity_relation)**.
% 299.85/300.47  260924[21:Res:8216.1,243787.1] || member(not_subclass_element(intersection(u,intersection(v,complement(compose(complement(element_relation),inverse(element_relation))))),w),cross_product(universal_class,universal_class))* -> subclass(intersection(u,intersection(v,complement(compose(complement(element_relation),inverse(element_relation))))),w).
% 299.85/300.47  260905[0:Res:8216.1,756.0] ||  -> subclass(intersection(u,intersection(v,cantor(restrict(w,x,singleton(y))))),z) member(not_subclass_element(intersection(u,intersection(v,cantor(restrict(w,x,singleton(y))))),z),segment(w,x,y))*.
% 299.85/300.47  260889[0:Res:8216.1,251419.0] || member(not_subclass_element(intersection(u,intersection(v,intersection(complement(w),power_class(x)))),y),union(w,complement(power_class(x))))* -> subclass(intersection(u,intersection(v,intersection(complement(w),power_class(x)))),y).
% 299.85/300.47  260888[0:Res:8216.1,251410.0] || member(not_subclass_element(intersection(u,intersection(v,intersection(power_class(w),complement(x)))),y),union(complement(power_class(w)),x))* -> subclass(intersection(u,intersection(v,intersection(power_class(w),complement(x)))),y).
% 299.85/300.47  260876[5:Res:8216.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(intersection(w,intersection(x,u)),y) equal(integer_of(ordered_pair(not_subclass_element(intersection(w,intersection(x,u)),y),least(omega,u))),identity_relation)**.
% 299.85/300.47  261494[21:Res:8215.1,243787.1] || member(not_subclass_element(intersection(u,intersection(complement(compose(complement(element_relation),inverse(element_relation))),v)),w),cross_product(universal_class,universal_class))* -> subclass(intersection(u,intersection(complement(compose(complement(element_relation),inverse(element_relation))),v)),w).
% 299.85/300.47  261475[0:Res:8215.1,756.0] ||  -> subclass(intersection(u,intersection(cantor(restrict(v,w,singleton(x))),y)),z) member(not_subclass_element(intersection(u,intersection(cantor(restrict(v,w,singleton(x))),y)),z),segment(v,w,x))*.
% 299.85/300.47  261459[0:Res:8215.1,251419.0] || member(not_subclass_element(intersection(u,intersection(intersection(complement(v),power_class(w)),x)),y),union(v,complement(power_class(w))))* -> subclass(intersection(u,intersection(intersection(complement(v),power_class(w)),x)),y).
% 299.85/300.47  261458[0:Res:8215.1,251410.0] || member(not_subclass_element(intersection(u,intersection(intersection(power_class(v),complement(w)),x)),y),union(complement(power_class(v)),w))* -> subclass(intersection(u,intersection(intersection(power_class(v),complement(w)),x)),y).
% 299.85/300.47  261446[5:Res:8215.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(intersection(w,intersection(u,x)),y) equal(integer_of(ordered_pair(not_subclass_element(intersection(w,intersection(u,x)),y),least(omega,u))),identity_relation)**.
% 299.85/300.47  261611[0:Rew:930.0,261357.0] ||  -> subclass(intersection(u,symmetric_difference(complement(intersection(v,w)),union(v,w))),x) member(not_subclass_element(intersection(u,symmetric_difference(complement(intersection(v,w)),union(v,w))),x),complement(symmetric_difference(v,w)))*.
% 299.85/300.47  261983[0:Res:8307.2,1043.0] || subclass(u,ordered_pair(v,w))* -> subclass(intersection(u,x),y) equal(not_subclass_element(intersection(u,x),y),unordered_pair(v,singleton(w)))* equal(not_subclass_element(intersection(u,x),y),singleton(v)).
% 299.85/300.47  261968[0:Res:8307.2,20569.2] || subclass(u,union(v,w))* member(not_subclass_element(intersection(u,x),y),complement(w))* member(not_subclass_element(intersection(u,x),y),complement(v))* -> subclass(intersection(u,x),y).
% 299.85/300.47  261944[5:Res:8307.2,5490.0] || subclass(u,v) subclass(v,w)* well_ordering(omega,w)* -> subclass(intersection(u,x),y) equal(integer_of(ordered_pair(not_subclass_element(intersection(u,x),y),least(omega,v))),identity_relation)**.
% 299.85/300.47  262107[0:Rew:930.0,261876.1] || subclass(complement(symmetric_difference(u,v)),w) -> subclass(symmetric_difference(complement(intersection(u,v)),union(u,v)),x) member(not_subclass_element(symmetric_difference(complement(intersection(u,v)),union(u,v)),x),w)*.
% 299.85/300.47  262398[21:Res:8310.1,243787.1] || member(not_subclass_element(intersection(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),v),w),cross_product(universal_class,universal_class))* -> subclass(intersection(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),v),w).
% 299.85/300.47  262379[0:Res:8310.1,756.0] ||  -> subclass(intersection(intersection(u,cantor(restrict(v,w,singleton(x)))),y),z) member(not_subclass_element(intersection(intersection(u,cantor(restrict(v,w,singleton(x)))),y),z),segment(v,w,x))*.
% 299.85/300.47  262363[0:Res:8310.1,251419.0] || member(not_subclass_element(intersection(intersection(u,intersection(complement(v),power_class(w))),x),y),union(v,complement(power_class(w))))* -> subclass(intersection(intersection(u,intersection(complement(v),power_class(w))),x),y).
% 299.85/300.47  262362[0:Res:8310.1,251410.0] || member(not_subclass_element(intersection(intersection(u,intersection(power_class(v),complement(w))),x),y),union(complement(power_class(v)),w))* -> subclass(intersection(intersection(u,intersection(power_class(v),complement(w))),x),y).
% 299.85/300.47  262350[5:Res:8310.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(intersection(intersection(w,u),x),y) equal(integer_of(ordered_pair(not_subclass_element(intersection(intersection(w,u),x),y),least(omega,u))),identity_relation)**.
% 299.85/300.47  263089[21:Res:8309.1,243787.1] || member(not_subclass_element(intersection(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),v),w),cross_product(universal_class,universal_class))* -> subclass(intersection(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),v),w).
% 299.85/300.47  263070[0:Res:8309.1,756.0] ||  -> subclass(intersection(intersection(cantor(restrict(u,v,singleton(w))),x),y),z) member(not_subclass_element(intersection(intersection(cantor(restrict(u,v,singleton(w))),x),y),z),segment(u,v,w))*.
% 299.85/300.47  263054[0:Res:8309.1,251419.0] || member(not_subclass_element(intersection(intersection(intersection(complement(u),power_class(v)),w),x),y),union(u,complement(power_class(v))))* -> subclass(intersection(intersection(intersection(complement(u),power_class(v)),w),x),y).
% 299.85/300.47  263053[0:Res:8309.1,251410.0] || member(not_subclass_element(intersection(intersection(intersection(power_class(u),complement(v)),w),x),y),union(complement(power_class(u)),v))* -> subclass(intersection(intersection(intersection(power_class(u),complement(v)),w),x),y).
% 299.85/300.47  263041[5:Res:8309.1,5490.0] || subclass(u,v)* well_ordering(omega,v)* -> subclass(intersection(intersection(u,w),x),y) equal(integer_of(ordered_pair(not_subclass_element(intersection(intersection(u,w),x),y),least(omega,u))),identity_relation)**.
% 299.85/300.47  263207[0:Rew:930.0,262951.0] ||  -> subclass(intersection(symmetric_difference(complement(intersection(u,v)),union(u,v)),w),x) member(not_subclass_element(intersection(symmetric_difference(complement(intersection(u,v)),union(u,v)),w),x),complement(symmetric_difference(u,v)))*.
% 299.85/300.47  265634[20:Res:265424.0,3336.0] || member(u,v)* -> equal(ordered_pair(first(ordered_pair(u,regular(complement(complement(symmetrization_of(identity_relation)))))),second(ordered_pair(u,regular(complement(complement(symmetrization_of(identity_relation))))))),ordered_pair(u,regular(complement(complement(symmetrization_of(identity_relation))))))**.
% 299.85/300.47  265916[0:SpR:252738.0,5163.1] ||  -> subclass(symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v))),w) member(not_subclass_element(symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v))),w),complement(intersection(power_class(complement(power_class(u))),power_class(v))))*.
% 299.85/300.47  266256[0:SpR:253065.0,5163.1] ||  -> subclass(symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v))),w) member(not_subclass_element(symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v))),w),complement(intersection(power_class(u),power_class(complement(power_class(v))))))*.
% 299.85/300.47  266898[0:SpL:2089.1,34161.0] || member(not_subclass_element(cross_product(u,v),w),cross_product(universal_class,universal_class)) subclass(composition_function,rest_of(x)) -> subclass(cross_product(u,v),w) member(first(not_subclass_element(cross_product(u,v),w)),domain_of(x))*.
% 299.85/300.47  266959[5:Res:30856.1,8100.2] || member(sum_class(u),union(v,w)) member(u,universal_class) subclass(universal_class,regular(intersection(v,w))) -> member(sum_class(u),symmetric_difference(v,w))* equal(intersection(v,w),identity_relation).
% 299.85/300.47  267059[5:Res:262110.0,3705.2] || member(u,complement(symmetrization_of(identity_relation)))* member(u,v)* well_ordering(w,complement(inverse(identity_relation))) -> member(least(w,intersection(v,complement(symmetrization_of(identity_relation)))),intersection(v,complement(symmetrization_of(identity_relation))))*.
% 299.85/300.47  267083[5:Res:30856.1,8099.2] || member(power_class(u),union(v,w)) member(u,universal_class) subclass(universal_class,regular(intersection(v,w))) -> member(power_class(u),symmetric_difference(v,w))* equal(intersection(v,w),identity_relation).
% 299.85/300.47  267277[5:Res:263697.0,3705.2] || member(u,v)* member(u,complement(symmetrization_of(identity_relation)))* well_ordering(w,complement(inverse(identity_relation))) -> member(least(w,intersection(complement(symmetrization_of(identity_relation)),v)),intersection(complement(symmetrization_of(identity_relation)),v))*.
% 299.85/300.47  268207[0:SpL:2089.1,34162.0] || member(not_subclass_element(cross_product(u,v),w),cross_product(universal_class,universal_class))* subclass(composition_function,cross_product(x,y))* -> subclass(cross_product(u,v),w) member(first(not_subclass_element(cross_product(u,v),w)),x)*.
% 299.85/300.47  268438[5:Res:264364.0,3704.1] || member(u,universal_class) well_ordering(v,union(w,identity_relation)) -> member(u,successor(symmetric_difference(universal_class,w)))* member(least(v,complement(successor(symmetric_difference(universal_class,w)))),complement(successor(symmetric_difference(universal_class,w))))*.
% 299.85/300.47  268748[5:Rew:579.0,268657.0] ||  -> equal(symmetric_difference(power_class(intersection(complement(u),complement(v))),complement(w)),identity_relation) member(regular(symmetric_difference(power_class(intersection(complement(u),complement(v))),complement(w))),union(image(element_relation,union(u,v)),w))*.
% 299.85/300.47  268749[5:Rew:579.0,268634.0] ||  -> equal(symmetric_difference(complement(u),power_class(intersection(complement(v),complement(w)))),identity_relation) member(regular(symmetric_difference(complement(u),power_class(intersection(complement(v),complement(w))))),union(u,image(element_relation,union(v,w))))*.
% 299.85/300.47  268904[5:Res:5462.2,8098.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(regular(intersection(w,regular(union(u,v))))),identity_relation)** equal(intersection(w,regular(union(u,v))),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.47  269081[5:Res:5462.2,8091.0] || subclass(omega,symmetric_difference(u,v)) -> equal(integer_of(regular(intersection(regular(union(u,v)),w))),identity_relation)** equal(intersection(regular(union(u,v)),w),identity_relation) equal(union(u,v),identity_relation).
% 299.85/300.47  269329[5:Res:264418.0,3704.1] || member(u,universal_class) well_ordering(v,union(w,identity_relation)) -> member(u,symmetrization_of(symmetric_difference(universal_class,w)))* member(least(v,complement(symmetrization_of(symmetric_difference(universal_class,w)))),complement(symmetrization_of(symmetric_difference(universal_class,w))))*.
% 299.85/300.47  269611[0:Res:601.1,7532.1] || member(not_subclass_element(restrict(power_class(intersection(complement(u),complement(v))),w,x),y),image(element_relation,union(u,v)))* -> subclass(restrict(power_class(intersection(complement(u),complement(v))),w,x),y).
% 299.85/300.47  270157[0:SpR:579.0,251233.0] ||  -> equal(intersection(union(complement(power_class(u)),image(element_relation,union(v,w))),union(power_class(u),power_class(intersection(complement(v),complement(w))))),symmetric_difference(power_class(u),power_class(intersection(complement(v),complement(w)))))**.
% 299.85/300.47  270309[0:Rew:251233.0,270216.1] || member(not_subclass_element(union(power_class(u),complement(v)),symmetric_difference(power_class(u),complement(v))),union(complement(power_class(u)),v))* -> subclass(union(power_class(u),complement(v)),symmetric_difference(power_class(u),complement(v))).
% 299.85/300.47  270697[0:SpL:251244.0,7532.1] || member(u,image(element_relation,union(v,intersection(union(complement(power_class(w)),x),complement(y)))))* member(u,power_class(intersection(complement(v),union(intersection(power_class(w),complement(x)),y)))) -> .
% 299.85/300.47  270680[0:SpL:251244.0,7532.1] || member(u,image(element_relation,union(intersection(union(complement(power_class(v)),w),complement(x)),y)))* member(u,power_class(intersection(union(intersection(power_class(v),complement(w)),x),complement(y)))) -> .
% 299.85/300.47  270536[0:SpR:251244.0,251244.0] ||  -> equal(union(intersection(power_class(u),complement(v)),intersection(union(complement(power_class(w)),x),complement(y))),complement(intersection(union(complement(power_class(u)),v),union(intersection(power_class(w),complement(x)),y))))**.
% 299.85/300.47  270481[0:SpR:251244.0,146221.1] || subclass(intersection(union(complement(power_class(u)),v),complement(w)),x) -> subclass(symmetric_difference(x,intersection(union(complement(power_class(u)),v),complement(w))),union(intersection(power_class(u),complement(v)),w))*.
% 299.85/300.47  270468[0:SpR:251244.0,86316.0] ||  -> subclass(complement(symmetrization_of(intersection(union(complement(power_class(u)),v),complement(w)))),intersection(union(intersection(power_class(u),complement(v)),w),complement(inverse(intersection(union(complement(power_class(u)),v),complement(w))))))*.
% 299.85/300.47  270466[0:SpR:251244.0,86317.0] ||  -> subclass(complement(successor(intersection(union(complement(power_class(u)),v),complement(w)))),intersection(union(intersection(power_class(u),complement(v)),w),complement(singleton(intersection(union(complement(power_class(u)),v),complement(w))))))*.
% 299.85/300.47  270783[0:Rew:251244.0,270448.1] ||  -> member(not_subclass_element(complement(union(intersection(power_class(u),complement(v)),w)),x),intersection(union(complement(power_class(u)),v),complement(w)))* subclass(complement(union(intersection(power_class(u),complement(v)),w)),x).
% 299.85/300.47  20391[0:MRR:20383.0,641.0] || subclass(rest_relation,cross_product(cross_product(universal_class,universal_class),universal_class)) member(ordered_pair(ordered_pair(u,rest_of(ordered_pair(v,u))),v),w) -> member(ordered_pair(ordered_pair(v,u),rest_of(ordered_pair(v,u))),rotate(w))*.
% 299.85/300.47  20392[0:MRR:20382.0,641.0] || subclass(rest_relation,cross_product(cross_product(universal_class,universal_class),universal_class)) member(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(v,u))),w) -> member(ordered_pair(ordered_pair(v,u),rest_of(ordered_pair(v,u))),flip(w))*.
% 299.85/300.47  29221[0:SpR:938.0,160.0] ||  -> equal(intersection(complement(symmetric_difference(u,cross_product(v,w))),union(complement(restrict(u,v,w)),union(u,cross_product(v,w)))),symmetric_difference(complement(restrict(u,v,w)),union(u,cross_product(v,w))))**.
% 299.85/300.47  29371[0:SpR:939.0,160.0] ||  -> equal(intersection(complement(symmetric_difference(cross_product(u,v),w)),union(complement(restrict(w,u,v)),union(cross_product(u,v),w))),symmetric_difference(complement(restrict(w,u,v)),union(cross_product(u,v),w)))**.
% 299.85/300.47  36395[0:SpL:2089.1,97.0] || member(ordered_pair(u,not_subclass_element(cross_product(v,w),x)),composition_function)* -> subclass(cross_product(v,w),x) equal(compose(u,first(not_subclass_element(cross_product(v,w),x))),second(not_subclass_element(cross_product(v,w),x))).
% 299.85/300.47  36367[0:SpL:2089.1,143.0] || member(not_subclass_element(cross_product(u,v),w),rest_of(x)) -> subclass(cross_product(u,v),w) equal(restrict(x,first(not_subclass_element(cross_product(u,v),w)),universal_class),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.47  162472[0:Res:122671.0,2599.1] || member(not_subclass_element(u,complement(complement(intersection(v,w)))),union(v,w)) -> subclass(u,complement(complement(intersection(v,w)))) member(not_subclass_element(u,complement(complement(intersection(v,w)))),symmetric_difference(v,w))*.
% 299.85/300.47  34028[5:SpL:5338.1,34.0] || member(ordered_pair(regular(cross_product(u,v)),w),rotate(x)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(ordered_pair(second(regular(cross_product(u,v))),w),first(regular(cross_product(u,v)))),x)*.
% 299.85/300.47  34027[5:SpL:5338.1,37.0] || member(ordered_pair(regular(cross_product(u,v)),w),flip(x)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(ordered_pair(second(regular(cross_product(u,v))),first(regular(cross_product(u,v)))),w),x)*.
% 299.85/300.47  117934[5:Res:5343.1,1043.0] ||  -> equal(restrict(ordered_pair(u,v),w,x),identity_relation) equal(regular(restrict(ordered_pair(u,v),w,x)),unordered_pair(u,singleton(v)))** equal(regular(restrict(ordered_pair(u,v),w,x)),singleton(u)).
% 299.85/300.47  183464[5:Res:17.2,5490.0] || member(u,v) member(w,x) subclass(cross_product(x,v),y)* well_ordering(omega,y) -> equal(integer_of(ordered_pair(ordered_pair(w,u),least(omega,cross_product(x,v)))),identity_relation)**.
% 299.85/300.47  125959[5:Res:5288.2,3926.0] || subclass(omega,u) member(v,w)* member(v,x)* subclass(x,y)* well_ordering(cross_product(w,u),y)* -> equal(integer_of(least(cross_product(w,u),x)),identity_relation)**.
% 299.85/300.47  183461[5:Res:98.1,5490.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,w) well_ordering(omega,w)* -> equal(integer_of(ordered_pair(ordered_pair(u,ordered_pair(v,compose(u,v))),least(omega,composition_function))),identity_relation)**.
% 299.85/300.47  36792[5:Res:29487.1,3926.0] || member(least(cross_product(u,compose(element_relation,universal_class)),v),element_relation)* member(w,u)* member(w,v)* subclass(v,x)* well_ordering(cross_product(u,compose(element_relation,universal_class)),x)* -> .
% 299.85/300.47  35413[0:Rew:27.0,35387.4] || member(u,universal_class) subclass(union(v,w),x)* well_ordering(y,x)* -> member(u,intersection(complement(v),complement(w)))* member(least(y,union(v,w)),union(v,w))*.
% 299.85/300.47  33530[3:Res:3564.3,126.0] || connected(u,v) well_ordering(w,v)* subclass(not_well_ordering(u,v),x)* well_ordering(y,x)* -> well_ordering(u,v) member(least(y,not_well_ordering(u,v)),not_well_ordering(u,v))*.
% 299.85/300.47  33191[0:Res:3892.3,126.0] || member(u,universal_class)* member(v,universal_class) equal(compose(w,v),u)* subclass(compose_class(w),x)* well_ordering(y,x)* -> member(least(y,compose_class(w)),compose_class(w))*.
% 299.85/300.47  34209[0:SpL:54.0,3760.0] || member(u,sum_class(v))* subclass(rest_of(restrict(element_relation,universal_class,v)),w)* well_ordering(x,w)* -> member(least(x,rest_of(restrict(element_relation,universal_class,v))),rest_of(restrict(element_relation,universal_class,v)))*.
% 299.85/300.47  34211[0:SpL:39.0,3760.0] || member(u,inverse(v))* subclass(rest_of(flip(cross_product(v,universal_class))),w)* well_ordering(x,w)* -> member(least(x,rest_of(flip(cross_product(v,universal_class)))),rest_of(flip(cross_product(v,universal_class))))*.
% 299.85/300.47  46844[3:Res:28041.2,3336.0] inductive(u) || well_ordering(v,universal_class) member(w,x)* -> equal(ordered_pair(first(ordered_pair(w,least(v,u))),second(ordered_pair(w,least(v,u)))),ordered_pair(w,least(v,u)))**.
% 299.85/300.47  120733[5:Rew:119609.0,120692.1] || transitive(universal_class,u) well_ordering(v,cross_product(u,u)) -> equal(segment(v,compose(cross_product(u,u),cross_product(u,u)),least(v,compose(cross_product(u,u),cross_product(u,u)))),identity_relation)**.
% 299.85/300.47  48998[3:Res:28061.2,3336.0] inductive(u) || well_ordering(v,u) member(w,x)* -> equal(ordered_pair(first(ordered_pair(w,least(v,u))),second(ordered_pair(w,least(v,u)))),ordered_pair(w,least(v,u)))**.
% 299.85/300.47  48802[5:Res:5403.2,3336.0] || well_ordering(u,v) member(w,x)* -> equal(v,identity_relation) equal(ordered_pair(first(ordered_pair(w,least(u,v))),second(ordered_pair(w,least(u,v)))),ordered_pair(w,least(u,v)))**.
% 299.85/300.47  48817[5:Res:5403.2,18.0] || well_ordering(u,cross_product(v,w)) -> equal(cross_product(v,w),identity_relation) equal(ordered_pair(first(least(u,cross_product(v,w))),second(least(u,cross_product(v,w)))),least(u,cross_product(v,w)))**.
% 299.85/300.47  34418[5:Res:5404.2,3336.0] || well_ordering(u,universal_class) member(v,w)* -> equal(x,identity_relation) equal(ordered_pair(first(ordered_pair(v,least(u,x))),second(ordered_pair(v,least(u,x)))),ordered_pair(v,least(u,x)))**.
% 299.85/300.47  34354[5:Res:5216.2,3336.0] || member(u,universal_class) member(v,w)* -> equal(u,identity_relation) equal(ordered_pair(first(ordered_pair(v,apply(choice,u))),second(ordered_pair(v,apply(choice,u)))),ordered_pair(v,apply(choice,u)))**.
% 299.85/300.47  7613[0:Res:765.2,60.0] || member(u,universal_class) subclass(universal_class,image(v,image(w,singleton(x)))) member(ordered_pair(x,sum_class(u)),cross_product(universal_class,universal_class)) -> member(ordered_pair(x,sum_class(u)),compose(v,w))*.
% 299.85/300.47  7578[0:Res:764.2,60.0] || member(u,universal_class) subclass(universal_class,image(v,image(w,singleton(x)))) member(ordered_pair(x,power_class(u)),cross_product(universal_class,universal_class)) -> member(ordered_pair(x,power_class(u)),compose(v,w))*.
% 299.85/300.47  40239[0:Res:4017.2,1025.1] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class))* subclass(universal_class,complement(compose(v,w))) -> subclass(image(v,image(w,singleton(u))),x).
% 299.85/300.47  35502[0:Obv:35489.1] || member(ordered_pair(u,v),compose(w,x)) -> equal(not_subclass_element(unordered_pair(y,v),image(w,image(x,singleton(u)))),y)** subclass(unordered_pair(y,v),image(w,image(x,singleton(u)))).
% 299.85/300.47  35503[0:Obv:35488.1] || member(ordered_pair(u,v),compose(w,x)) -> equal(not_subclass_element(unordered_pair(v,y),image(w,image(x,singleton(u)))),y)** subclass(unordered_pair(v,y),image(w,image(x,singleton(u)))).
% 299.85/300.47  28202[5:Res:27132.1,60.0] || subclass(domain_relation,complement(complement(image(u,image(v,singleton(w))))))* member(ordered_pair(w,ordered_pair(identity_relation,identity_relation)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,ordered_pair(identity_relation,identity_relation)),compose(u,v)).
% 299.85/300.47  34335[0:Res:66.2,3336.0] function(u) || member(v,universal_class) member(w,x)* -> equal(ordered_pair(first(ordered_pair(w,image(u,v))),second(ordered_pair(w,image(u,v)))),ordered_pair(w,image(u,v)))**.
% 299.85/300.47  39681[5:Rew:5309.0,39672.3] || member(ordered_pair(u,v),compose(w,identity_relation))* subclass(image(w,range_of(identity_relation)),x)* well_ordering(y,x)* -> member(least(y,image(w,range_of(identity_relation))),image(w,range_of(identity_relation)))*.
% 299.85/300.47  38862[5:Rew:5309.0,38853.3] || member(ordered_pair(u,ordered_pair(v,least(image(w,range_of(identity_relation)),x))),compose(w,identity_relation))* member(v,x) subclass(x,y)* well_ordering(image(w,range_of(identity_relation)),y)* -> .
% 299.85/300.47  92549[0:Res:86994.1,3705.2] || equal(cantor(inverse(u)),intersection(v,w))* member(x,w)* member(x,v)* well_ordering(y,range_of(u))* -> member(least(y,intersection(v,w)),intersection(v,w))*.
% 299.85/300.47  92782[0:Res:86994.1,3714.2] || equal(cantor(inverse(u)),cross_product(v,w))* member(x,w)* member(y,v)* well_ordering(z,range_of(u))* -> member(least(z,cross_product(v,w)),cross_product(v,w))*.
% 299.85/300.47  198076[17:Res:195614.1,60.0] || subclass(domain_relation,image(u,image(v,singleton(w)))) member(ordered_pair(w,singleton(singleton(singleton(identity_relation)))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,singleton(singleton(singleton(identity_relation)))),compose(u,v))*.
% 299.85/300.47  201502[5:Rew:200704.1,201477.5,200704.1,201477.4,200704.1,201477.1] || equal(u,universal_class) well_ordering(element_relation,image(v,identity_relation)) subclass(apply(v,u),image(v,identity_relation))* -> inductive(u) equal(image(v,identity_relation),universal_class) member(image(v,identity_relation),universal_class).
% 299.85/300.47  203787[5:Res:4017.2,153534.1] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class))* equal(complement(compose(v,w)),universal_class) -> subclass(image(v,image(w,singleton(u))),x).
% 299.85/300.47  209091[15:Rew:208959.1,36861.2] function(u) || subclass(range_of(u),domain_of(segment(cross_product(v,w),x,y))) equal(domain_of(domain_of(z)),universal_class) -> compatible(u,z,restrict(cross_product(x,singleton(y)),v,w))*.
% 299.85/300.47  121922[5:SpL:26481.1,3524.1] || member(ordered_pair(u,v),compose(regular(cross_product(image(w,singleton(u)),universal_class)),w))* subclass(range_of(identity_relation),x)* -> equal(cross_product(image(w,singleton(u)),universal_class),identity_relation) member(v,x)*.
% 299.85/300.47  217464[5:SpR:2089.1,5544.1] || subclass(omega,element_relation) -> subclass(cross_product(u,v),w) equal(integer_of(not_subclass_element(cross_product(u,v),w)),identity_relation) member(first(not_subclass_element(cross_product(u,v),w)),second(not_subclass_element(cross_product(u,v),w)))*.
% 299.85/300.47  217830[5:Rew:122711.0,217746.2,122711.0,217746.0] || member(union(u,symmetric_difference(universal_class,v)),universal_class) member(apply(choice,union(u,symmetric_difference(universal_class,v))),intersection(complement(u),union(v,identity_relation)))* -> equal(union(u,symmetric_difference(universal_class,v)),identity_relation).
% 299.85/300.47  218424[5:Rew:122708.0,218344.2,122708.0,218344.0] || member(union(symmetric_difference(universal_class,u),v),universal_class) member(apply(choice,union(symmetric_difference(universal_class,u),v)),intersection(union(u,identity_relation),complement(v)))* -> equal(union(symmetric_difference(universal_class,u),v),identity_relation).
% 299.85/300.47  218749[17:SpL:2089.1,192766.0] || member(not_subclass_element(cross_product(u,v),w),cross_product(universal_class,universal_class)) member(second(not_subclass_element(cross_product(u,v),w)),domain_of(first(not_subclass_element(cross_product(u,v),w))))* -> subclass(cross_product(u,v),w).
% 299.85/300.47  219531[11:Res:207952.1,3336.0] || equal(identity_relation,u) member(v,w)* -> equal(ordered_pair(first(ordered_pair(v,regular(complement(power_class(u))))),second(ordered_pair(v,regular(complement(power_class(u)))))),ordered_pair(v,regular(complement(power_class(u)))))**.
% 299.85/300.47  219599[11:Res:207964.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,regular(complement(power_class(identity_relation)))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,regular(complement(power_class(identity_relation)))),compose(u,v))*.
% 299.85/300.47  219751[10:Res:208146.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,regular(complement(power_class(universal_class)))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,regular(complement(power_class(universal_class)))),compose(u,v))*.
% 299.85/300.47  219953[15:Rew:219947.2,34835.3] single_valued_class(restrict(element_relation,universal_class,u)) || subclass(range_of(restrict(element_relation,universal_class,u)),v) equal(restrict(element_relation,universal_class,u),cross_product(universal_class,universal_class)) -> maps(restrict(element_relation,universal_class,u),universal_class,v)*.
% 299.85/300.47  220055[15:Rew:220049.2,34739.3] single_valued_class(flip(cross_product(u,universal_class))) || subclass(range_of(flip(cross_product(u,universal_class))),v) equal(flip(cross_product(u,universal_class)),cross_product(universal_class,universal_class)) -> maps(flip(cross_product(u,universal_class)),universal_class,v)*.
% 299.85/300.47  220451[9:Res:207805.1,60.0] || subclass(universal_class,image(u,image(v,singleton(w)))) member(ordered_pair(w,regular(complement(symmetrization_of(identity_relation)))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,regular(complement(symmetrization_of(identity_relation)))),compose(u,v))*.
% 299.85/300.47  229801[5:Res:5585.1,5490.0] || subclass(complement(intersection(u,v)),w)* well_ordering(omega,w) -> equal(symmetric_difference(u,v),identity_relation) equal(integer_of(ordered_pair(regular(symmetric_difference(u,v)),least(omega,complement(intersection(u,v))))),identity_relation)**.
% 299.85/300.47  233791[15:Rew:233634.0,233645.3] || member(u,universal_class) member(ordered_pair(v,universal_class),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(sum_class(range_of(identity_relation)),u),v),w)* -> member(ordered_pair(ordered_pair(v,universal_class),u),rotate(w)).
% 299.85/300.47  233792[15:Rew:233634.0,233646.3] || member(u,universal_class) member(ordered_pair(v,universal_class),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(sum_class(range_of(identity_relation)),v),u),w)* -> member(ordered_pair(ordered_pair(v,universal_class),u),flip(w)).
% 299.85/300.47  233793[15:Rew:233634.0,233648.2] || member(ordered_pair(ordered_pair(sum_class(range_of(identity_relation)),u),v),w)* member(ordered_pair(ordered_pair(v,universal_class),u),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(ordered_pair(v,universal_class),u),rotate(w)).
% 299.85/300.47  233794[15:Rew:233634.0,233668.1] || member(ordered_pair(ordered_pair(sum_class(range_of(identity_relation)),u),v),w)* member(ordered_pair(ordered_pair(u,universal_class),v),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(ordered_pair(u,universal_class),v),flip(w)).
% 299.85/300.47  235946[5:Res:5462.2,128.3] || subclass(omega,symmetric_difference(u,v)) member(w,x) subclass(x,y)* well_ordering(union(u,v),y)* -> equal(integer_of(ordered_pair(w,least(union(u,v),x))),identity_relation)**.
% 299.85/300.47  235932[5:Res:5462.2,5490.0] || subclass(omega,symmetric_difference(u,v)) subclass(union(u,v),w)* well_ordering(omega,w) -> equal(integer_of(x),identity_relation) equal(integer_of(ordered_pair(x,least(omega,union(u,v)))),identity_relation)**.
% 299.85/300.47  236453[0:Res:24.2,8214.0] || member(not_subclass_element(intersection(u,complement(intersection(v,w))),x),w)* member(not_subclass_element(intersection(u,complement(intersection(v,w))),x),v)* -> subclass(intersection(u,complement(intersection(v,w))),x).
% 299.85/300.47  236838[0:Res:24.2,8308.0] || member(not_subclass_element(intersection(complement(intersection(u,v)),w),x),v)* member(not_subclass_element(intersection(complement(intersection(u,v)),w),x),u)* -> subclass(intersection(complement(intersection(u,v)),w),x).
% 299.85/300.47  241351[5:Res:5311.2,5490.0] || subclass(u,symmetric_difference(v,w)) subclass(union(v,w),x)* well_ordering(omega,x) -> equal(u,identity_relation) equal(integer_of(ordered_pair(regular(u),least(omega,union(v,w)))),identity_relation)**.
% 299.85/300.47  242182[5:Rew:242089.0,242163.3] || member(ordered_pair(u,v),compose(complement(cross_product(image(w,singleton(u)),universal_class)),w))* subclass(range_of(identity_relation),x)* well_ordering(y,x)* -> member(least(y,range_of(identity_relation)),range_of(identity_relation))*.
% 299.85/300.47  242459[3:Res:28061.2,756.0] inductive(cantor(restrict(u,v,singleton(w)))) || well_ordering(x,cantor(restrict(u,v,singleton(w)))) -> member(least(x,cantor(restrict(u,v,singleton(w)))),segment(u,v,w))*.
% 299.85/300.47  242457[5:Res:5403.2,756.0] || well_ordering(u,cantor(restrict(v,w,singleton(x)))) -> equal(cantor(restrict(v,w,singleton(x))),identity_relation) member(least(u,cantor(restrict(v,w,singleton(x)))),segment(v,w,x))*.
% 299.85/300.47  242402[5:Res:5216.2,756.0] || member(cantor(restrict(u,v,singleton(w))),universal_class) -> equal(cantor(restrict(u,v,singleton(w))),identity_relation) member(apply(choice,cantor(restrict(u,v,singleton(w)))),segment(u,v,w))*.
% 299.85/300.47  242540[5:SpR:9097.0,5461.2] || section(cross_product(u,singleton(v)),w,x) well_ordering(y,w) -> equal(segment(y,segment(cross_product(x,w),u,v),least(y,segment(cross_product(x,w),u,v))),identity_relation)**.
% 299.85/300.47  242639[5:Res:5341.1,5490.0] || subclass(cross_product(u,v),w)* well_ordering(omega,w) -> equal(restrict(x,u,v),identity_relation) equal(integer_of(ordered_pair(regular(restrict(x,u,v)),least(omega,cross_product(u,v)))),identity_relation)**.
% 299.85/300.47  242720[0:Res:133.1,8435.0] || section(u,restrict(v,w,x),y) -> subclass(domain_of(restrict(u,y,restrict(v,w,x))),z) member(not_subclass_element(domain_of(restrict(u,y,restrict(v,w,x))),z),v)*.
% 299.85/300.47  244693[21:Res:28061.2,243787.1] inductive(complement(compose(complement(element_relation),inverse(element_relation)))) || well_ordering(u,complement(compose(complement(element_relation),inverse(element_relation)))) member(least(u,complement(compose(complement(element_relation),inverse(element_relation)))),cross_product(universal_class,universal_class))* -> .
% 299.85/300.47  244691[21:Res:5403.2,243787.1] || well_ordering(u,complement(compose(complement(element_relation),inverse(element_relation)))) member(least(u,complement(compose(complement(element_relation),inverse(element_relation)))),cross_product(universal_class,universal_class))* -> equal(complement(compose(complement(element_relation),inverse(element_relation))),identity_relation).
% 299.85/300.47  244633[21:Res:5216.2,243787.1] || member(complement(compose(complement(element_relation),inverse(element_relation))),universal_class) member(apply(choice,complement(compose(complement(element_relation),inverse(element_relation)))),cross_product(universal_class,universal_class))* -> equal(complement(compose(complement(element_relation),inverse(element_relation))),identity_relation).
% 299.85/300.47  247223[0:SpR:27.0,21037.0] ||  -> equal(intersection(successor(intersection(complement(u),complement(v))),union(union(u,v),complement(singleton(intersection(complement(u),complement(v)))))),symmetric_difference(union(u,v),complement(singleton(intersection(complement(u),complement(v))))))**.
% 299.85/300.47  247180[0:SpR:21037.0,8335.1] ||  -> subclass(symmetric_difference(successor(u),union(complement(u),complement(singleton(u)))),v) member(not_subclass_element(symmetric_difference(successor(u),union(complement(u),complement(singleton(u)))),v),complement(symmetric_difference(complement(u),complement(singleton(u)))))*.
% 299.85/300.47  247332[0:Rew:21037.0,247277.1] || member(not_subclass_element(union(complement(u),complement(singleton(u))),symmetric_difference(complement(u),complement(singleton(u)))),successor(u))* -> subclass(union(complement(u),complement(singleton(u))),symmetric_difference(complement(u),complement(singleton(u)))).
% 299.85/300.47  248517[0:SpR:27.0,21036.0] ||  -> equal(intersection(symmetrization_of(intersection(complement(u),complement(v))),union(union(u,v),complement(inverse(intersection(complement(u),complement(v)))))),symmetric_difference(union(u,v),complement(inverse(intersection(complement(u),complement(v))))))**.
% 299.85/300.47  248482[0:SpR:21036.0,8335.1] ||  -> subclass(symmetric_difference(symmetrization_of(u),union(complement(u),complement(inverse(u)))),v) member(not_subclass_element(symmetric_difference(symmetrization_of(u),union(complement(u),complement(inverse(u)))),v),complement(symmetric_difference(complement(u),complement(inverse(u)))))*.
% 299.85/300.47  248611[0:Rew:21036.0,248567.1] || member(not_subclass_element(union(complement(u),complement(inverse(u))),symmetric_difference(complement(u),complement(inverse(u)))),symmetrization_of(u))* -> subclass(union(complement(u),complement(inverse(u))),symmetric_difference(complement(u),complement(inverse(u)))).
% 299.85/300.47  251196[0:Rew:249197.0,249332.1] || member(not_subclass_element(power_class(intersection(complement(u),power_class(complement(power_class(v))))),w),image(element_relation,union(u,image(element_relation,power_class(v)))))* -> subclass(power_class(intersection(complement(u),power_class(complement(power_class(v))))),w).
% 299.85/300.47  251197[0:Rew:249197.0,249706.1] || member(not_subclass_element(power_class(intersection(power_class(complement(power_class(u))),complement(v))),w),image(element_relation,union(image(element_relation,power_class(u)),v)))* -> subclass(power_class(intersection(power_class(complement(power_class(u))),complement(v))),w).
% 299.85/300.47  252711[0:SpR:249200.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(complement(u),power_class(v))),union(union(u,complement(power_class(v))),union(complement(u),power_class(v)))),symmetric_difference(union(u,complement(power_class(v))),union(complement(u),power_class(v))))**.
% 299.85/300.47  253042[0:SpR:249208.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(power_class(u),complement(v))),union(union(complement(power_class(u)),v),union(power_class(u),complement(v)))),symmetric_difference(union(complement(power_class(u)),v),union(power_class(u),complement(v))))**.
% 299.85/300.47  253883[17:Res:195285.2,5490.0] || member(u,universal_class) equal(compose(v,u),identity_relation) subclass(compose_class(v),w)* well_ordering(omega,w) -> equal(integer_of(ordered_pair(ordered_pair(u,identity_relation),least(omega,compose_class(v)))),identity_relation)**.
% 299.85/300.47  256651[5:SpL:5380.1,3675.0] || subclass(u,image(choice,singleton(unordered_pair(v,u))))* -> equal(unordered_pair(v,u),identity_relation) equal(apply(choice,unordered_pair(v,u)),v) section(element_relation,image(choice,singleton(unordered_pair(v,u))),universal_class)*.
% 299.85/300.47  256650[5:SpL:5380.2,3675.0] || subclass(u,image(choice,singleton(unordered_pair(u,v))))* -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v) section(element_relation,image(choice,singleton(unordered_pair(u,v))),universal_class)*.
% 299.85/300.47  256874[0:Res:3654.2,251410.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,intersection(power_class(w),complement(x))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),union(complement(power_class(w)),x))* -> .
% 299.85/300.47  257066[0:Res:3654.2,251419.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,intersection(complement(w),power_class(x))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),union(w,complement(power_class(x))))* -> .
% 299.85/300.47  257235[5:Res:5343.1,20569.2] || member(regular(restrict(union(u,v),w,x)),complement(v))* member(regular(restrict(union(u,v),w,x)),complement(u))* -> equal(restrict(union(u,v),w,x),identity_relation).
% 299.85/300.47  257551[5:Rew:47789.0,257411.2,47789.0,257411.1] ||  -> equal(regular(ordered_pair(u,v)),singleton(u)) subclass(regular(ordered_pair(u,v)),w) equal(not_subclass_element(regular(ordered_pair(u,v)),w),singleton(v))** equal(not_subclass_element(regular(ordered_pair(u,v)),w),u)**.
% 299.85/300.47  259383[0:Res:30856.1,34675.0] || member(not_subclass_element(u,intersection(intersection(v,w),u)),union(v,w)) -> member(not_subclass_element(u,intersection(intersection(v,w),u)),symmetric_difference(v,w))* subclass(u,intersection(intersection(v,w),u)).
% 299.85/300.47  259374[5:Res:30856.1,8090.0] || member(regular(regular(intersection(u,v))),union(u,v)) -> member(regular(regular(intersection(u,v))),symmetric_difference(u,v))* equal(regular(intersection(u,v)),identity_relation) equal(intersection(u,v),identity_relation).
% 299.85/300.47  259346[0:Res:30856.1,126.0] || member(u,union(v,w)) subclass(intersection(v,w),x)* well_ordering(y,x)* -> member(u,symmetric_difference(v,w))* member(least(y,intersection(v,w)),intersection(v,w))*.
% 299.85/300.47  259300[0:SpR:941.0,30856.1] || member(u,union(union(v,w),union(complement(v),complement(w)))) -> member(u,symmetric_difference(complement(v),complement(w))) member(u,symmetric_difference(union(v,w),union(complement(v),complement(w))))*.
% 299.85/300.47  260315[0:Res:8213.2,18.0] || subclass(u,cross_product(v,w))* -> subclass(intersection(x,u),y) equal(ordered_pair(first(not_subclass_element(intersection(x,u),y)),second(not_subclass_element(intersection(x,u),y))),not_subclass_element(intersection(x,u),y))**.
% 299.85/300.47  261288[0:Res:261060.0,3705.2] || member(u,restrict(v,w,x))* member(u,y)* well_ordering(z,v) -> member(least(z,intersection(y,restrict(v,w,x))),intersection(y,restrict(v,w,x)))*.
% 299.85/300.47  261959[0:Res:8307.2,18.0] || subclass(u,cross_product(v,w))* -> subclass(intersection(u,x),y) equal(ordered_pair(first(not_subclass_element(intersection(u,x),y)),second(not_subclass_element(intersection(u,x),y))),not_subclass_element(intersection(u,x),y))**.
% 299.85/300.47  263594[0:Res:9102.1,2957.1] single_valued_class(domain_of(restrict(cross_product(u,cross_product(universal_class,universal_class)),v,w))) || section(cross_product(v,w),cross_product(universal_class,universal_class),u) -> function(domain_of(restrict(cross_product(u,cross_product(universal_class,universal_class)),v,w)))*.
% 299.85/300.47  263578[5:Res:9102.1,5316.0] || section(cross_product(u,v),w,x) subclass(w,y) -> equal(domain_of(restrict(cross_product(x,w),u,v)),identity_relation) member(regular(domain_of(restrict(cross_product(x,w),u,v))),y)*.
% 299.85/300.47  265529[5:Res:28995.3,249201.0] function(image(element_relation,power_class(u))) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,image(element_relation,power_class(u))),power_class(complement(power_class(u))))* -> equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.47  265493[5:Res:28995.3,5490.0] function(u) || member(cross_product(universal_class,universal_class),universal_class) subclass(u,v)* well_ordering(omega,v)* -> equal(u,identity_relation) equal(integer_of(ordered_pair(least(element_relation,u),least(omega,u))),identity_relation)**.
% 299.85/300.47  266003[0:Res:262737.0,3704.1] || member(u,universal_class) well_ordering(v,w) -> member(u,complement(restrict(w,x,y)))* member(least(v,complement(complement(restrict(w,x,y)))),complement(complement(restrict(w,x,y))))*.
% 299.85/300.47  266536[0:Res:262535.0,3705.2] || member(u,v)* member(u,restrict(w,x,y))* well_ordering(z,w) -> member(least(z,intersection(restrict(w,x,y),v)),intersection(restrict(w,x,y),v))*.
% 299.85/300.47  268963[5:MRR:268888.0,29542.1] ||  -> member(regular(intersection(u,regular(intersection(complement(v),complement(w))))),union(v,w))* equal(intersection(u,regular(intersection(complement(v),complement(w)))),identity_relation) equal(intersection(complement(v),complement(w)),identity_relation).
% 299.85/300.47  269141[5:MRR:269064.0,29542.1] ||  -> member(regular(intersection(regular(intersection(complement(u),complement(v))),w)),union(u,v))* equal(intersection(regular(intersection(complement(u),complement(v))),w),identity_relation) equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.47  269601[5:Res:5606.1,7532.1] || member(regular(intersection(intersection(power_class(intersection(complement(u),complement(v))),w),x)),image(element_relation,union(u,v)))* -> equal(intersection(intersection(power_class(intersection(complement(u),complement(v))),w),x),identity_relation).
% 299.85/300.47  269600[5:Res:5605.1,7532.1] || member(regular(intersection(intersection(u,power_class(intersection(complement(v),complement(w)))),x)),image(element_relation,union(v,w)))* -> equal(intersection(intersection(u,power_class(intersection(complement(v),complement(w)))),x),identity_relation).
% 299.85/300.47  269599[5:Res:5581.1,7532.1] || member(regular(intersection(u,intersection(power_class(intersection(complement(v),complement(w))),x))),image(element_relation,union(v,w)))* -> equal(intersection(u,intersection(power_class(intersection(complement(v),complement(w))),x)),identity_relation).
% 299.85/300.47  269598[5:Res:5580.1,7532.1] || member(regular(intersection(u,intersection(v,power_class(intersection(complement(w),complement(x)))))),image(element_relation,union(w,x)))* -> equal(intersection(u,intersection(v,power_class(intersection(complement(w),complement(x))))),identity_relation).
% 299.85/300.47  269786[5:Res:262535.0,27621.1] || member(intersection(restrict(singleton(u),v,w),x),universal_class) -> equal(intersection(restrict(singleton(u),v,w),x),identity_relation) equal(apply(choice,intersection(restrict(singleton(u),v,w),x)),u)**.
% 299.85/300.47  269780[5:Res:261060.0,27621.1] || member(intersection(u,restrict(singleton(v),w,x)),universal_class) -> equal(intersection(u,restrict(singleton(v),w,x)),identity_relation) equal(apply(choice,intersection(u,restrict(singleton(v),w,x))),v)**.
% 299.85/300.47  269777[5:Res:262737.0,27621.1] || member(complement(complement(restrict(singleton(u),v,w))),universal_class) -> equal(complement(complement(restrict(singleton(u),v,w))),identity_relation) equal(apply(choice,complement(complement(restrict(singleton(u),v,w)))),u)**.
% 299.85/300.47  269769[5:Res:261130.0,27621.1] || member(restrict(intersection(u,singleton(v)),w,x),universal_class) -> equal(restrict(intersection(u,singleton(v)),w,x),identity_relation) equal(apply(choice,restrict(intersection(u,singleton(v)),w,x)),v)**.
% 299.85/300.47  269758[5:Res:261700.0,27621.1] || member(restrict(intersection(singleton(u),v),w,x),universal_class) -> equal(restrict(intersection(singleton(u),v),w,x),identity_relation) equal(apply(choice,restrict(intersection(singleton(u),v),w,x)),u)**.
% 299.85/300.47  269757[5:Res:262147.0,27621.1] || member(restrict(complement(complement(singleton(u))),v,w),universal_class) -> equal(restrict(complement(complement(singleton(u))),v,w),identity_relation) equal(apply(choice,restrict(complement(complement(singleton(u))),v,w)),u)**.
% 299.85/300.47  37650[0:Rew:647.0,37639.1] || member(u,universal_class) member(singleton(singleton(singleton(v))),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(v,u),singleton(v)),w)* -> member(ordered_pair(singleton(singleton(singleton(v))),u),rotate(w))*.
% 299.85/300.47  37546[0:Rew:647.0,37535.1] || member(u,universal_class) member(singleton(singleton(singleton(v))),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(v,singleton(v)),u),w)* -> member(ordered_pair(singleton(singleton(singleton(v))),u),flip(w))*.
% 299.85/300.47  4117[0:Rew:647.0,4114.2] || member(ordered_pair(ordered_pair(u,v),singleton(u)),w)* member(ordered_pair(singleton(singleton(singleton(u))),v),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(singleton(singleton(singleton(u))),v),rotate(w))*.
% 299.85/300.47  4108[0:Rew:647.0,4105.2] || member(ordered_pair(ordered_pair(u,singleton(u)),v),w)* member(ordered_pair(singleton(singleton(singleton(u))),v),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(singleton(singleton(singleton(u))),v),flip(w))*.
% 299.85/300.47  146250[0:SpR:145868.1,930.0] || subclass(union(complement(intersection(u,v)),union(u,v)),complement(symmetric_difference(u,v)))* -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),union(complement(intersection(u,v)),union(u,v))).
% 299.85/300.47  34172[0:Res:3654.2,21.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cross_product(universal_class,universal_class)) member(u,ordered_pair(v,compose(u,v))) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),element_relation)*.
% 299.85/300.47  34012[5:SpR:5338.1,29470.2] || member(second(regular(cross_product(u,v))),universal_class) member(first(regular(cross_product(u,v))),second(regular(cross_product(u,v))))* -> equal(cross_product(u,v),identity_relation) member(regular(cross_product(u,v)),element_relation).
% 299.85/300.47  30847[5:Res:5295.1,2599.1] || member(regular(intersection(u,complement(intersection(v,w)))),union(v,w)) -> equal(intersection(u,complement(intersection(v,w))),identity_relation) member(regular(intersection(u,complement(intersection(v,w)))),symmetric_difference(v,w))*.
% 299.85/300.47  30833[5:Res:5294.1,2599.1] || member(regular(intersection(complement(intersection(u,v)),w)),union(u,v)) -> equal(intersection(complement(intersection(u,v)),w),identity_relation) member(regular(intersection(complement(intersection(u,v)),w)),symmetric_difference(u,v))*.
% 299.85/300.47  39404[5:Res:29628.0,2599.1] || member(regular(complement(complement(complement(intersection(u,v))))),union(u,v)) -> equal(complement(complement(complement(intersection(u,v)))),identity_relation) member(regular(complement(complement(complement(intersection(u,v))))),symmetric_difference(u,v))*.
% 299.85/300.47  153305[5:Res:118490.1,3926.0] || member(least(cross_product(u,symmetric_difference(universal_class,v)),w),complement(v))* member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,symmetric_difference(universal_class,v)),y)* -> .
% 299.85/300.47  51759[0:MRR:51731.0,641.0] || subclass(rest_relation,rest_of(u)) member(ordered_pair(v,least(intersection(w,domain_of(u)),x)),w)* member(v,x) subclass(x,y)* well_ordering(intersection(w,domain_of(u)),y)* -> .
% 299.85/300.47  36493[5:SpR:598.0,5461.2] || section(cross_product(u,v),w,x) well_ordering(y,w) -> equal(segment(y,domain_of(restrict(cross_product(x,w),u,v)),least(y,domain_of(restrict(cross_product(x,w),u,v)))),identity_relation)**.
% 299.85/300.47  183469[5:Res:3743.3,5490.0] || member(u,universal_class) member(v,universal_class) equal(successor(v),u) subclass(successor_relation,w) well_ordering(omega,w)* -> equal(integer_of(ordered_pair(ordered_pair(v,u),least(omega,successor_relation))),identity_relation)**.
% 299.85/300.47  183497[5:Res:5420.2,5490.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(compose_class(v),w)* well_ordering(omega,w) -> equal(compose_class(v),identity_relation) equal(integer_of(ordered_pair(least(u,compose_class(v)),least(omega,compose_class(v)))),identity_relation)**.
% 299.85/300.47  183498[5:Res:5419.2,5490.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(rest_of(v),w)* well_ordering(omega,w) -> equal(rest_of(v),identity_relation) equal(integer_of(ordered_pair(least(u,rest_of(v)),least(omega,rest_of(v)))),identity_relation)**.
% 299.85/300.47  46849[3:Res:28041.2,2599.1] inductive(complement(intersection(u,v))) || well_ordering(w,universal_class) member(least(w,complement(intersection(u,v))),union(u,v)) -> member(least(w,complement(intersection(u,v))),symmetric_difference(u,v))*.
% 299.85/300.47  30853[5:Res:5404.2,2599.1] || well_ordering(u,universal_class) member(least(u,complement(intersection(v,w))),union(v,w)) -> equal(complement(intersection(v,w)),identity_relation) member(least(u,complement(intersection(v,w))),symmetric_difference(v,w))*.
% 299.85/300.47  37947[5:SpR:5337.2,648.0] || member(cross_product(u,v),universal_class) -> equal(cross_product(u,v),identity_relation) member(unordered_pair(first(apply(choice,cross_product(u,v))),singleton(second(apply(choice,cross_product(u,v))))),apply(choice,cross_product(u,v)))*.
% 299.85/300.47  183486[5:Res:5330.2,5490.0] || member(intersection(u,v),universal_class) subclass(v,w)* well_ordering(omega,w)* -> equal(intersection(u,v),identity_relation) equal(integer_of(ordered_pair(apply(choice,intersection(u,v)),least(omega,v))),identity_relation)**.
% 299.85/300.47  183435[5:Res:5331.2,5490.0] || member(intersection(u,v),universal_class) subclass(u,w)* well_ordering(omega,w)* -> equal(intersection(u,v),identity_relation) equal(integer_of(ordered_pair(apply(choice,intersection(u,v)),least(omega,u))),identity_relation)**.
% 299.85/300.47  27210[5:Res:24.2,5377.1] || member(apply(choice,complement(intersection(u,v))),v)* member(apply(choice,complement(intersection(u,v))),u)* member(complement(intersection(u,v)),universal_class) -> equal(complement(intersection(u,v)),identity_relation).
% 299.85/300.47  8439[0:Res:766.2,60.0] || subclass(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,not_subclass_element(u,y)),cross_product(universal_class,universal_class)) -> subclass(u,y) member(ordered_pair(x,not_subclass_element(u,y)),compose(v,w))*.
% 299.85/300.47  168544[12:MRR:168505.3,5188.0] || equal(sum_class(range_of(first(not_subclass_element(cross_product(u,v),w)))),second(not_subclass_element(cross_product(u,v),w))) member(not_subclass_element(cross_product(u,v),w),cross_product(universal_class,universal_class))* -> subclass(cross_product(u,v),w).
% 299.85/300.47  39778[5:Rew:5309.0,39769.1,5309.0,39769.0] || member(ordered_pair(u,not_subclass_element(image(v,range_of(identity_relation)),w)),cross_product(universal_class,universal_class)) -> subclass(image(v,range_of(identity_relation)),w) member(ordered_pair(u,not_subclass_element(image(v,range_of(identity_relation)),w)),compose(v,identity_relation))*.
% 299.85/300.47  40102[5:MRR:40101.4,5188.0] || equal(compose_class(u),domain_relation) member(image(u,range_of(identity_relation)),universal_class) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),cross_product(universal_class,universal_class))* -> equal(image(u,range_of(identity_relation)),identity_relation).
% 299.85/300.47  36787[5:Res:29474.1,3926.0] || member(least(cross_product(u,cantor(inverse(v))),w),range_of(v))* member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,cantor(inverse(v))),y)* -> .
% 299.85/300.47  152944[5:SpR:146076.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(range_of(u),cantor(inverse(u)))),union(complement(cantor(inverse(u))),union(range_of(u),cantor(inverse(u))))),symmetric_difference(complement(cantor(inverse(u))),union(range_of(u),cantor(inverse(u)))))**.
% 299.85/300.47  193702[12:SpL:191620.1,60.0] || member(u,universal_class) member(v,image(w,image(x,identity_relation))) member(ordered_pair(sum_class(range_of(u)),v),cross_product(universal_class,universal_class)) -> member(ordered_pair(sum_class(range_of(u)),v),compose(w,x))*.
% 299.85/300.47  200634[7:Res:189491.0,3926.0] || member(u,v)* member(u,w)* subclass(w,x)* well_ordering(cross_product(v,complement(singleton(identity_relation))),x)* -> subclass(singleton(least(cross_product(v,complement(singleton(identity_relation))),w)),singleton(identity_relation))*.
% 299.85/300.47  209094[15:Rew:208959.1,200969.3] function(u) || equal(v,universal_class) subclass(range_of(u),domain_of(segment(w,x,v)))* equal(domain_of(domain_of(y)),universal_class) -> inductive(v) compatible(u,y,restrict(w,x,identity_relation))*.
% 299.85/300.47  180200[5:Res:165860.0,3926.0] || member(u,v)* member(u,w)* subclass(w,x)* well_ordering(cross_product(v,complement(inverse(identity_relation))),x)* -> subclass(singleton(least(cross_product(v,complement(inverse(identity_relation))),w)),symmetrization_of(identity_relation))*.
% 299.85/300.47  220181[17:Rew:209749.1,220145.3] function(u) || member(ordered_pair(ordered_pair(u,identity_relation),v),w)* member(ordered_pair(singleton(singleton(identity_relation)),v),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(singleton(singleton(identity_relation)),v),flip(w))*.
% 299.85/300.47  220182[17:Rew:209749.1,220144.3] function(u) || member(ordered_pair(ordered_pair(u,v),identity_relation),w)* member(ordered_pair(singleton(singleton(identity_relation)),v),cross_product(cross_product(universal_class,universal_class),universal_class))* -> member(ordered_pair(singleton(singleton(identity_relation)),v),rotate(w))*.
% 299.85/300.47  225212[5:SpR:2089.1,5541.1] || subclass(omega,domain_relation) -> subclass(cross_product(u,v),w) equal(integer_of(not_subclass_element(cross_product(u,v),w)),identity_relation) equal(domain_of(first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.47  225345[5:SpR:2089.1,5542.1] || subclass(omega,rest_relation) -> subclass(cross_product(u,v),w) equal(integer_of(not_subclass_element(cross_product(u,v),w)),identity_relation) equal(rest_of(first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.47  225516[5:SpR:2089.1,5543.1] || subclass(omega,successor_relation) -> subclass(cross_product(u,v),w) equal(integer_of(not_subclass_element(cross_product(u,v),w)),identity_relation) equal(successor(first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.47  233401[5:Res:230404.0,3705.2] || member(u,v)* member(u,w)* well_ordering(x,complement(singleton(intersection(w,v)))) -> equal(singleton(intersection(w,v)),identity_relation) member(least(x,intersection(w,v)),intersection(w,v))*.
% 299.85/300.47  233399[5:Res:230404.0,3714.2] || member(u,v)* member(w,x)* well_ordering(y,complement(singleton(cross_product(x,v)))) -> equal(singleton(cross_product(x,v)),identity_relation) member(least(y,cross_product(x,v)),cross_product(x,v))*.
% 299.85/300.47  235710[0:Res:20387.1,35.1] || subclass(rest_relation,rotate(cross_product(cross_product(universal_class,universal_class),universal_class))) member(ordered_pair(ordered_pair(rest_of(ordered_pair(u,v)),u),v),w) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(u,v))),u),rotate(w))*.
% 299.85/300.47  235709[0:Res:20387.1,38.1] || subclass(rest_relation,rotate(cross_product(cross_product(universal_class,universal_class),universal_class))) member(ordered_pair(ordered_pair(rest_of(ordered_pair(u,v)),v),u),w) -> member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(u,v))),u),flip(w))*.
% 299.85/300.47  235679[0:Res:20387.1,1043.0] || subclass(rest_relation,rotate(ordered_pair(u,v)))* -> equal(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),unordered_pair(u,singleton(v)))* equal(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),singleton(u)).
% 299.85/300.47  235825[0:Res:20388.1,35.1] || subclass(rest_relation,flip(cross_product(cross_product(universal_class,universal_class),universal_class))) member(ordered_pair(ordered_pair(u,rest_of(ordered_pair(u,v))),v),w) -> member(ordered_pair(ordered_pair(v,u),rest_of(ordered_pair(u,v))),rotate(w))*.
% 299.85/300.47  235824[0:Res:20388.1,38.1] || subclass(rest_relation,flip(cross_product(cross_product(universal_class,universal_class),universal_class))) member(ordered_pair(ordered_pair(u,v),rest_of(ordered_pair(u,v))),w) -> member(ordered_pair(ordered_pair(v,u),rest_of(ordered_pair(u,v))),flip(w))*.
% 299.85/300.47  235795[0:Res:20388.1,1043.0] || subclass(rest_relation,flip(ordered_pair(u,v)))* -> equal(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),unordered_pair(u,singleton(v)))* equal(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),singleton(u)).
% 299.85/300.47  241820[5:Res:8335.1,5490.0] || subclass(complement(intersection(u,v)),w)* well_ordering(omega,w) -> subclass(symmetric_difference(u,v),x) equal(integer_of(ordered_pair(not_subclass_element(symmetric_difference(u,v),x),least(omega,complement(intersection(u,v))))),identity_relation)**.
% 299.85/300.47  242183[5:Rew:242089.0,242153.1,242089.0,242153.0] || member(ordered_pair(u,not_subclass_element(range_of(identity_relation),v)),cross_product(universal_class,universal_class)) -> subclass(range_of(identity_relation),v) member(ordered_pair(u,not_subclass_element(range_of(identity_relation),v)),compose(complement(cross_product(image(w,singleton(u)),universal_class)),w))*.
% 299.85/300.47  242595[0:Rew:9097.0,242537.0] || member(restrict(cross_product(u,singleton(v)),w,x),segment(cross_product(w,x),u,v)) -> member(ordered_pair(restrict(cross_product(u,singleton(v)),w,x),segment(cross_product(w,x),u,v)),element_relation)*.
% 299.85/300.47  242721[0:Res:130.2,8435.0] || connected(u,restrict(v,w,x)) -> well_ordering(u,restrict(v,w,x)) subclass(not_well_ordering(u,restrict(v,w,x)),y) member(not_subclass_element(not_well_ordering(u,restrict(v,w,x)),y),v)*.
% 299.85/300.47  248377[0:MRR:248359.0,29469.1] || subclass(rest_relation,rest_of(u)) member(v,domain_of(u))* equal(rest_of(v),least(rest_of(u),w))* member(v,w)* subclass(w,x)* well_ordering(rest_of(u),x)* -> .
% 299.85/300.47  251204[5:Rew:249197.0,249438.1,249197.0,249438.0] || member(intersection(u,power_class(complement(power_class(v)))),universal_class) member(apply(choice,intersection(u,power_class(complement(power_class(v))))),image(element_relation,power_class(v)))* -> equal(intersection(u,power_class(complement(power_class(v)))),identity_relation).
% 299.85/300.47  251205[5:Rew:249197.0,249824.1,249197.0,249824.0] || member(intersection(power_class(complement(power_class(u))),v),universal_class) member(apply(choice,intersection(power_class(complement(power_class(u))),v)),image(element_relation,power_class(u)))* -> equal(intersection(power_class(complement(power_class(u))),v),identity_relation).
% 299.85/300.47  251206[0:Rew:249197.0,249175.1,249197.0,249175.1,249197.0,249175.0] || member(not_subclass_element(image(element_relation,union(image(element_relation,power_class(u)),v)),w),power_class(intersection(power_class(complement(power_class(u))),complement(v))))* -> subclass(complement(power_class(intersection(power_class(complement(power_class(u))),complement(v)))),w).
% 299.85/300.47  251207[0:Rew:249197.0,249172.1,249197.0,249172.1,249197.0,249172.0] || member(not_subclass_element(image(element_relation,union(u,image(element_relation,power_class(v)))),w),power_class(intersection(complement(u),power_class(complement(power_class(v))))))* -> subclass(complement(power_class(intersection(complement(u),power_class(complement(power_class(v)))))),w).
% 299.85/300.47  252618[5:Rew:251767.0,251926.4] || member(u,v)* member(u,w)* subclass(w,x)* well_ordering(cross_product(v,complement(power_class(universal_class))),x)* -> subclass(singleton(least(cross_product(v,complement(power_class(universal_class))),w)),power_class(universal_class))*.
% 299.85/300.47  252619[5:Rew:251768.0,252125.4] || member(u,v)* member(u,w)* subclass(w,x)* well_ordering(cross_product(v,complement(power_class(identity_relation))),x)* -> subclass(singleton(least(cross_product(v,complement(power_class(identity_relation))),w)),power_class(identity_relation))*.
% 299.85/300.47  252936[0:Rew:249200.0,252850.3] || member(u,v) subclass(v,w)* well_ordering(union(x,complement(power_class(y))),w)* -> member(ordered_pair(u,least(union(x,complement(power_class(y))),v)),intersection(complement(x),power_class(y)))*.
% 299.85/300.47  253268[0:Rew:249208.0,253184.3] || member(u,v) subclass(v,w)* well_ordering(union(complement(power_class(x)),y),w)* -> member(ordered_pair(u,least(union(complement(power_class(x)),y),v)),intersection(power_class(x),complement(y)))*.
% 299.85/300.47  253455[5:Res:5330.2,249201.0] || member(intersection(u,image(element_relation,power_class(v))),universal_class) member(apply(choice,intersection(u,image(element_relation,power_class(v)))),power_class(complement(power_class(v))))* -> equal(intersection(u,image(element_relation,power_class(v))),identity_relation).
% 299.85/300.47  253436[5:Res:5331.2,249201.0] || member(intersection(image(element_relation,power_class(u)),v),universal_class) member(apply(choice,intersection(image(element_relation,power_class(u)),v)),power_class(complement(power_class(u))))* -> equal(intersection(image(element_relation,power_class(u)),v),identity_relation).
% 299.85/300.47  255184[5:Res:7580.2,5490.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w)) subclass(union(v,w),x)* well_ordering(omega,x) -> equal(integer_of(ordered_pair(power_class(u),least(omega,union(v,w)))),identity_relation)**.
% 299.85/300.47  256483[5:Res:7615.2,5490.0] || member(u,universal_class) subclass(universal_class,symmetric_difference(v,w)) subclass(union(v,w),x)* well_ordering(omega,x) -> equal(integer_of(ordered_pair(sum_class(u),least(omega,union(v,w)))),identity_relation)**.
% 299.85/300.47  257205[0:Res:20388.1,20569.2] || subclass(rest_relation,flip(union(u,v)))* member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),complement(v))* member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),complement(u))* -> .
% 299.85/300.47  257204[0:Res:20387.1,20569.2] || subclass(rest_relation,rotate(union(u,v)))* member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),complement(v))* member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),complement(u))* -> .
% 299.85/300.47  258398[5:Res:8057.3,3926.0] || well_ordering(cross_product(u,v),universal_class)* subclass(w,v)* member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,v),y)* -> equal(w,identity_relation).
% 299.85/300.47  258552[0:SpL:930.0,8164.1] || member(u,symmetric_difference(complement(symmetric_difference(v,w)),union(complement(intersection(v,w)),union(v,w))))* subclass(complement(symmetric_difference(complement(intersection(v,w)),union(v,w))),x)* -> member(u,x)*.
% 299.85/300.47  258770[5:Res:29204.2,5490.0] || subclass(unordered_pair(u,v),w)* well_ordering(omega,w) -> equal(regular(unordered_pair(u,v)),v) equal(unordered_pair(u,v),identity_relation) equal(integer_of(ordered_pair(u,least(omega,unordered_pair(u,v)))),identity_relation)**.
% 299.85/300.47  258882[5:Res:29205.2,5490.0] || subclass(unordered_pair(u,v),w)* well_ordering(omega,w) -> equal(regular(unordered_pair(u,v)),u) equal(unordered_pair(u,v),identity_relation) equal(integer_of(ordered_pair(v,least(omega,unordered_pair(u,v)))),identity_relation)**.
% 299.85/300.47  259011[5:Res:133.1,8397.0] || section(u,restrict(v,w,x),y) -> equal(domain_of(restrict(u,y,restrict(v,w,x))),identity_relation) member(regular(domain_of(restrict(u,y,restrict(v,w,x)))),cross_product(w,x))*.
% 299.85/300.47  259365[0:Res:30856.1,28903.1] || member(singleton(intersection(u,v)),union(u,v)) member(intersection(u,v),universal_class) -> member(singleton(intersection(u,v)),symmetric_difference(u,v))* member(singleton(singleton(singleton(intersection(u,v)))),element_relation)*.
% 299.85/300.47  259345[5:Res:30856.1,5490.0] || member(u,union(v,w)) subclass(intersection(v,w),x)* well_ordering(omega,x) -> member(u,symmetric_difference(v,w)) equal(integer_of(ordered_pair(u,least(omega,intersection(v,w)))),identity_relation)**.
% 299.85/300.47  259331[0:SpR:21036.0,30856.1] || member(u,union(symmetrization_of(v),union(complement(v),complement(inverse(v))))) -> member(u,symmetric_difference(complement(v),complement(inverse(v)))) member(u,symmetric_difference(symmetrization_of(v),union(complement(v),complement(inverse(v)))))*.
% 299.85/300.47  259330[0:SpR:21037.0,30856.1] || member(u,union(successor(v),union(complement(v),complement(singleton(v))))) -> member(u,symmetric_difference(complement(v),complement(singleton(v)))) member(u,symmetric_difference(successor(v),union(complement(v),complement(singleton(v)))))*.
% 299.85/300.47  259885[5:Res:8441.2,5490.0] || subclass(u,symmetric_difference(v,w)) subclass(union(v,w),x)* well_ordering(omega,x) -> subclass(u,y) equal(integer_of(ordered_pair(not_subclass_element(u,y),least(omega,union(v,w)))),identity_relation)**.
% 299.85/300.47  260306[0:Res:8213.2,2599.1] || subclass(u,complement(intersection(v,w))) member(not_subclass_element(intersection(x,u),y),union(v,w)) -> subclass(intersection(x,u),y) member(not_subclass_element(intersection(x,u),y),symmetric_difference(v,w))*.
% 299.85/300.47  260901[0:Res:8216.1,9.0] ||  -> subclass(intersection(u,intersection(v,unordered_pair(w,x))),y) equal(not_subclass_element(intersection(u,intersection(v,unordered_pair(w,x))),y),x)** equal(not_subclass_element(intersection(u,intersection(v,unordered_pair(w,x))),y),w)**.
% 299.85/300.47  261471[0:Res:8215.1,9.0] ||  -> subclass(intersection(u,intersection(unordered_pair(v,w),x)),y) equal(not_subclass_element(intersection(u,intersection(unordered_pair(v,w),x)),y),w)** equal(not_subclass_element(intersection(u,intersection(unordered_pair(v,w),x)),y),v)**.
% 299.85/300.47  261950[0:Res:8307.2,2599.1] || subclass(u,complement(intersection(v,w))) member(not_subclass_element(intersection(u,x),y),union(v,w)) -> subclass(intersection(u,x),y) member(not_subclass_element(intersection(u,x),y),symmetric_difference(v,w))*.
% 299.85/300.47  262375[0:Res:8310.1,9.0] ||  -> subclass(intersection(intersection(u,unordered_pair(v,w)),x),y) equal(not_subclass_element(intersection(intersection(u,unordered_pair(v,w)),x),y),w)** equal(not_subclass_element(intersection(intersection(u,unordered_pair(v,w)),x),y),v)**.
% 299.85/300.47  263066[0:Res:8309.1,9.0] ||  -> subclass(intersection(intersection(unordered_pair(u,v),w),x),y) equal(not_subclass_element(intersection(intersection(unordered_pair(u,v),w),x),y),v)** equal(not_subclass_element(intersection(intersection(unordered_pair(u,v),w),x),y),u)**.
% 299.85/300.47  263577[0:Res:9102.1,8430.0] || section(cross_product(u,v),w,x) subclass(w,y) -> subclass(domain_of(restrict(cross_product(x,w),u,v)),z) member(not_subclass_element(domain_of(restrict(cross_product(x,w),u,v)),z),y)*.
% 299.85/300.47  264232[5:Res:8238.1,5490.0] || subclass(cross_product(u,v),w)* well_ordering(omega,w) -> subclass(restrict(x,u,v),y) equal(integer_of(ordered_pair(not_subclass_element(restrict(x,u,v),y),least(omega,cross_product(u,v)))),identity_relation)**.
% 299.85/300.47  265512[5:Res:28995.3,8157.0] function(symmetric_difference(complement(u),complement(v))) || member(cross_product(universal_class,universal_class),universal_class) -> equal(symmetric_difference(complement(u),complement(v)),identity_relation) member(least(element_relation,symmetric_difference(complement(u),complement(v))),union(u,v))*.
% 299.85/300.47  266817[5:Res:28995.3,123566.0] function(u) || member(cross_product(universal_class,universal_class),universal_class) -> equal(u,identity_relation) equal(ordered_pair(first(ordered_pair(least(element_relation,u),omega)),second(ordered_pair(least(element_relation,u),omega))),ordered_pair(least(element_relation,u),omega))**.
% 299.85/300.47  267170[7:Res:263210.0,3704.1] || member(u,universal_class) well_ordering(v,singleton(identity_relation)) -> member(u,union(w,complement(singleton(identity_relation))))* member(least(v,complement(union(w,complement(singleton(identity_relation))))),complement(union(w,complement(singleton(identity_relation)))))*.
% 299.85/300.47  267215[5:Res:263211.0,3704.1] || member(u,universal_class) well_ordering(v,symmetrization_of(identity_relation)) -> member(u,union(w,complement(inverse(identity_relation))))* member(least(v,complement(union(w,complement(inverse(identity_relation))))),complement(union(w,complement(inverse(identity_relation)))))*.
% 299.85/300.47  267306[7:Res:264270.0,3704.1] || member(u,universal_class) well_ordering(v,singleton(identity_relation)) -> member(u,union(complement(singleton(identity_relation)),w))* member(least(v,complement(union(complement(singleton(identity_relation)),w))),complement(union(complement(singleton(identity_relation)),w)))*.
% 299.85/300.47  267360[5:Res:264271.0,3704.1] || member(u,universal_class) well_ordering(v,symmetrization_of(identity_relation)) -> member(u,union(complement(inverse(identity_relation)),w))* member(least(v,complement(union(complement(inverse(identity_relation)),w))),complement(union(complement(inverse(identity_relation)),w)))*.
% 299.85/300.47  267700[5:Res:267560.0,3704.1] || member(u,universal_class) well_ordering(v,inverse(identity_relation)) -> member(u,complement(complement(complement(symmetrization_of(identity_relation)))))* member(least(v,complement(complement(complement(complement(symmetrization_of(identity_relation)))))),complement(complement(complement(complement(symmetrization_of(identity_relation))))))*.
% 299.85/300.47  267790[5:Res:267559.0,3704.1] || member(u,universal_class) well_ordering(v,inverse(identity_relation)) -> member(u,complement(intersection(w,symmetrization_of(identity_relation))))* member(least(v,complement(complement(intersection(w,symmetrization_of(identity_relation))))),complement(complement(intersection(w,symmetrization_of(identity_relation)))))*.
% 299.85/300.47  267881[5:Res:267561.0,3704.1] || member(u,universal_class) well_ordering(v,inverse(identity_relation)) -> member(u,complement(intersection(symmetrization_of(identity_relation),w)))* member(least(v,complement(complement(intersection(symmetrization_of(identity_relation),w)))),complement(complement(intersection(symmetrization_of(identity_relation),w))))*.
% 299.85/300.47  267991[5:Res:267565.0,3704.1] || member(u,universal_class) well_ordering(v,inverse(identity_relation)) -> member(u,union(w,complement(inverse(identity_relation))))* member(least(v,complement(union(w,complement(inverse(identity_relation))))),complement(union(w,complement(inverse(identity_relation)))))*.
% 299.85/300.47  268021[5:Res:267566.0,3704.1] || member(u,universal_class) well_ordering(v,inverse(identity_relation)) -> member(u,union(complement(inverse(identity_relation)),w))* member(least(v,complement(union(complement(inverse(identity_relation)),w))),complement(union(complement(inverse(identity_relation)),w)))*.
% 299.85/300.47  268067[5:Res:267567.0,3705.2] || member(u,v)* member(u,complement(complement(symmetrization_of(identity_relation))))* well_ordering(w,inverse(identity_relation)) -> member(least(w,intersection(complement(complement(symmetrization_of(identity_relation))),v)),intersection(complement(complement(symmetrization_of(identity_relation))),v))*.
% 299.85/300.47  268157[5:Res:267571.0,3705.2] || member(u,complement(complement(symmetrization_of(identity_relation))))* member(u,v)* well_ordering(w,inverse(identity_relation)) -> member(least(w,intersection(v,complement(complement(symmetrization_of(identity_relation))))),intersection(v,complement(complement(symmetrization_of(identity_relation)))))*.
% 299.85/300.47  268788[5:SpR:5338.1,5563.1] || subclass(omega,composition_function) -> equal(cross_product(u,v),identity_relation) equal(integer_of(ordered_pair(w,regular(cross_product(u,v)))),identity_relation) equal(compose(w,first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.47  269621[5:Res:8060.2,7532.1] || well_ordering(u,universal_class) member(least(u,intersection(v,power_class(intersection(complement(w),complement(x))))),image(element_relation,union(w,x)))* -> equal(intersection(v,power_class(intersection(complement(w),complement(x)))),identity_relation).
% 299.85/300.47  269620[5:Res:8059.2,7532.1] || well_ordering(u,universal_class) member(least(u,intersection(power_class(intersection(complement(v),complement(w))),x)),image(element_relation,union(v,w)))* -> equal(intersection(power_class(intersection(complement(v),complement(w))),x),identity_relation).
% 299.85/300.47  269617[0:Res:8309.1,7532.1] || member(not_subclass_element(intersection(intersection(power_class(intersection(complement(u),complement(v))),w),x),y),image(element_relation,union(u,v)))* -> subclass(intersection(intersection(power_class(intersection(complement(u),complement(v))),w),x),y).
% 299.85/300.47  269615[0:Res:8215.1,7532.1] || member(not_subclass_element(intersection(u,intersection(power_class(intersection(complement(v),complement(w))),x)),y),image(element_relation,union(v,w)))* -> subclass(intersection(u,intersection(power_class(intersection(complement(v),complement(w))),x)),y).
% 299.85/300.47  269614[0:Res:8216.1,7532.1] || member(not_subclass_element(intersection(u,intersection(v,power_class(intersection(complement(w),complement(x))))),y),image(element_relation,union(w,x)))* -> subclass(intersection(u,intersection(v,power_class(intersection(complement(w),complement(x))))),y).
% 299.85/300.47  269613[0:Res:8310.1,7532.1] || member(not_subclass_element(intersection(intersection(u,power_class(intersection(complement(v),complement(w)))),x),y),image(element_relation,union(v,w)))* -> subclass(intersection(intersection(u,power_class(intersection(complement(v),complement(w)))),x),y).
% 299.85/300.47  269585[0:Res:3654.2,7532.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,power_class(intersection(complement(w),complement(x)))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),image(element_relation,union(w,x)))* -> .
% 299.85/300.47  270691[0:SpL:251244.0,2599.1] || member(u,union(union(complement(power_class(v)),w),complement(x))) member(u,union(intersection(power_class(v),complement(w)),x)) -> member(u,symmetric_difference(union(complement(power_class(v)),w),complement(x)))*.
% 299.85/300.47  270784[5:Rew:251244.0,270684.1] || member(regular(intersection(u,union(intersection(power_class(v),complement(w)),x))),intersection(union(complement(power_class(v)),w),complement(x)))* -> equal(intersection(u,union(intersection(power_class(v),complement(w)),x)),identity_relation).
% 299.85/300.47  270785[5:Rew:251244.0,270672.1] || member(regular(intersection(union(intersection(power_class(u),complement(v)),w),x)),intersection(union(complement(power_class(u)),v),complement(w)))* -> equal(intersection(union(intersection(power_class(u),complement(v)),w),x),identity_relation).
% 299.85/300.47  270786[5:Rew:251244.0,270476.2] || subclass(omega,intersection(union(complement(power_class(u)),v),complement(w)))* -> equal(integer_of(regular(union(intersection(power_class(u),complement(v)),w))),identity_relation) equal(union(intersection(power_class(u),complement(v)),w),identity_relation).
% 299.85/300.47  30798[0:SpL:941.0,2599.1] || member(u,union(union(v,w),union(complement(v),complement(w)))) member(u,complement(symmetric_difference(complement(v),complement(w)))) -> member(u,symmetric_difference(union(v,w),union(complement(v),complement(w))))*.
% 299.85/300.47  35142[0:SpL:930.0,2609.2] || member(u,union(complement(intersection(v,w)),union(v,w)))* member(u,complement(symmetric_difference(v,w))) subclass(symmetric_difference(complement(intersection(v,w)),union(v,w)),x)* -> member(u,x)*.
% 299.85/300.47  37646[0:Res:4116.3,2.0] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x)* subclass(rotate(x),y)* -> member(ordered_pair(ordered_pair(v,w),u),y)*.
% 299.85/300.47  37542[0:Res:4107.3,2.0] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x)* subclass(flip(x),y)* -> member(ordered_pair(ordered_pair(v,w),u),y)*.
% 299.85/300.47  118139[0:Res:2603.2,34675.0] || member(not_subclass_element(u,intersection(restrict(v,w,x),u)),cross_product(w,x))* member(not_subclass_element(u,intersection(restrict(v,w,x),u)),v)* -> subclass(u,intersection(restrict(v,w,x),u)).
% 299.85/300.47  34660[0:Res:943.1,2612.0] || member(not_subclass_element(u,intersection(v,complement(intersection(w,x)))),symmetric_difference(w,x))* member(not_subclass_element(u,intersection(v,complement(intersection(w,x)))),v)* -> subclass(u,intersection(v,complement(intersection(w,x)))).
% 299.85/300.47  47659[0:Res:29726.0,18.0] ||  -> subclass(complement(complement(cross_product(u,v))),w) equal(ordered_pair(first(not_subclass_element(complement(complement(cross_product(u,v))),w)),second(not_subclass_element(complement(complement(cross_product(u,v))),w))),not_subclass_element(complement(complement(cross_product(u,v))),w))**.
% 299.85/300.47  36355[0:SpR:2089.1,17.2] || member(second(not_subclass_element(cross_product(u,v),w)),x) member(first(not_subclass_element(cross_product(u,v),w)),y) -> subclass(cross_product(u,v),w) member(not_subclass_element(cross_product(u,v),w),cross_product(y,x))*.
% 299.85/300.47  34135[0:Res:3654.2,9.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,unordered_pair(w,x))* -> equal(ordered_pair(u,ordered_pair(v,compose(u,v))),x)* equal(ordered_pair(u,ordered_pair(v,compose(u,v))),w)*.
% 299.85/300.47  34171[0:Res:3654.2,47.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cross_product(universal_class,universal_class)) equal(ordered_pair(v,compose(u,v)),successor(u)) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),successor_relation)*.
% 299.85/300.47  34056[5:Rew:5338.1,34041.3] || member(first(regular(cross_product(u,v))),second(regular(cross_product(u,v))))* member(regular(cross_product(u,v)),cross_product(universal_class,universal_class)) -> equal(cross_product(u,v),identity_relation) member(regular(cross_product(u,v)),element_relation).
% 299.85/300.47  183457[5:Res:2603.2,5490.0] || member(u,cross_product(v,w)) member(u,x) subclass(restrict(x,v,w),y)* well_ordering(omega,y) -> equal(integer_of(ordered_pair(u,least(omega,restrict(x,v,w)))),identity_relation)**.
% 299.85/300.47  28258[0:Res:2603.2,126.0] || member(u,cross_product(v,w))* member(u,x)* subclass(restrict(x,v,w),y)* well_ordering(z,y)* -> member(least(z,restrict(x,v,w)),restrict(x,v,w))*.
% 299.85/300.47  183462[5:Res:144.2,5490.0] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),w) subclass(rest_of(v),x)* well_ordering(omega,x) -> equal(integer_of(ordered_pair(ordered_pair(u,w),least(omega,rest_of(v)))),identity_relation)**.
% 299.85/300.47  37485[0:Rew:160.0,37414.4] || member(u,union(v,w)) member(u,complement(intersection(v,w)))* subclass(symmetric_difference(v,w),x)* well_ordering(y,x)* -> member(least(y,symmetric_difference(v,w)),symmetric_difference(v,w))*.
% 299.85/300.47  37978[5:SpL:5337.2,20.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),element_relation) -> equal(cross_product(u,v),identity_relation) member(first(apply(choice,cross_product(u,v))),second(apply(choice,cross_product(u,v))))*.
% 299.85/300.47  116832[5:Res:5331.2,8157.0] || member(intersection(symmetric_difference(complement(u),complement(v)),w),universal_class) -> equal(intersection(symmetric_difference(complement(u),complement(v)),w),identity_relation) member(apply(choice,intersection(symmetric_difference(complement(u),complement(v)),w)),union(u,v))*.
% 299.85/300.47  116852[5:Res:5330.2,8157.0] || member(intersection(u,symmetric_difference(complement(v),complement(w))),universal_class) -> equal(intersection(u,symmetric_difference(complement(v),complement(w))),identity_relation) member(apply(choice,intersection(u,symmetric_difference(complement(v),complement(w)))),union(v,w))*.
% 299.85/300.47  47760[0:Res:783.1,60.0] || subclass(ordered_pair(u,v),image(w,image(x,singleton(y)))) member(ordered_pair(y,unordered_pair(u,singleton(v))),cross_product(universal_class,universal_class)) -> member(ordered_pair(y,unordered_pair(u,singleton(v))),compose(w,x))*.
% 299.85/300.47  39678[0:Res:348.0,3719.1] || member(ordered_pair(u,v),compose(w,x))* well_ordering(y,image(w,image(x,singleton(u)))) -> member(least(y,image(w,image(x,singleton(u)))),image(w,image(x,singleton(u))))*.
% 299.85/300.47  27229[5:Rew:579.0,27198.2,579.0,27198.0] || member(power_class(intersection(complement(u),complement(v))),universal_class) member(apply(choice,power_class(intersection(complement(u),complement(v)))),image(element_relation,union(u,v)))* -> equal(power_class(intersection(complement(u),complement(v))),identity_relation).
% 299.85/300.47  52004[5:Res:59.1,8090.0] || member(ordered_pair(u,regular(regular(image(v,image(w,singleton(u)))))),compose(v,w))* -> equal(regular(image(v,image(w,singleton(u)))),identity_relation) equal(image(v,image(w,singleton(u))),identity_relation).
% 299.85/300.47  46327[5:Res:5507.2,3924.0] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class))* subclass(compose(v,w),x)* well_ordering(universal_class,x) -> equal(image(v,image(w,singleton(u))),identity_relation).
% 299.85/300.47  38859[5:Res:29487.1,3928.0] || member(ordered_pair(u,ordered_pair(v,least(image(element_relation,image(universal_class,singleton(u))),w))),element_relation)* member(v,w) subclass(w,x)* well_ordering(image(element_relation,image(universal_class,singleton(u))),x)* -> .
% 299.85/300.47  121920[5:SpL:26481.1,60.0] || member(u,image(v,range_of(identity_relation))) member(ordered_pair(w,u),cross_product(universal_class,universal_class)) -> equal(cross_product(singleton(w),universal_class),identity_relation) member(ordered_pair(w,u),compose(v,regular(cross_product(singleton(w),universal_class))))*.
% 299.85/300.47  189591[7:Rew:189431.0,179212.3] || member(u,universal_class) subclass(power_class(complement(singleton(identity_relation))),v)* well_ordering(w,v)* -> member(u,image(element_relation,singleton(identity_relation)))* member(least(w,power_class(complement(singleton(identity_relation)))),power_class(complement(singleton(identity_relation))))*.
% 299.85/300.47  195289[17:Rew:195144.1,195217.3] || member(u,universal_class) subclass(domain_relation,image(v,image(w,singleton(x)))) member(ordered_pair(x,ordered_pair(u,identity_relation)),cross_product(universal_class,universal_class)) -> member(ordered_pair(x,ordered_pair(u,identity_relation)),compose(v,w))*.
% 299.85/300.47  210187[15:Rew:210176.1,209690.1] one_to_one(restrict(u,v,singleton(w))) || subclass(universal_class,domain_of(segment(u,v,w))) equal(cross_product(domain_of(segment(u,v,w)),domain_of(segment(u,v,w))),segment(u,v,w))** -> .
% 299.85/300.47  179094[5:Rew:122494.0,179074.4] || member(u,universal_class) subclass(power_class(complement(inverse(identity_relation))),v)* well_ordering(w,v)* -> member(u,image(element_relation,symmetrization_of(identity_relation)))* member(least(w,power_class(complement(inverse(identity_relation)))),power_class(complement(inverse(identity_relation))))*.
% 299.85/300.47  217829[5:Rew:122711.0,217760.3] || member(u,v) subclass(v,w)* well_ordering(union(x,symmetric_difference(universal_class,y)),w)* -> member(ordered_pair(u,least(union(x,symmetric_difference(universal_class,y)),v)),intersection(complement(x),union(y,identity_relation)))*.
% 299.85/300.47  218423[5:Rew:122708.0,218358.3] || member(u,v) subclass(v,w)* well_ordering(union(symmetric_difference(universal_class,x),y),w)* -> member(ordered_pair(u,least(union(symmetric_difference(universal_class,x),y),v)),intersection(union(x,identity_relation),complement(y)))*.
% 299.85/300.47  229748[5:SpR:938.0,5585.1] ||  -> equal(symmetric_difference(complement(restrict(u,v,w)),union(u,cross_product(v,w))),identity_relation) member(regular(symmetric_difference(complement(restrict(u,v,w)),union(u,cross_product(v,w)))),complement(symmetric_difference(u,cross_product(v,w))))*.
% 299.85/300.47  229747[5:SpR:939.0,5585.1] ||  -> equal(symmetric_difference(complement(restrict(u,v,w)),union(cross_product(v,w),u)),identity_relation) member(regular(symmetric_difference(complement(restrict(u,v,w)),union(cross_product(v,w),u))),complement(symmetric_difference(cross_product(v,w),u)))*.
% 299.85/300.47  232342[0:Res:601.1,1043.0] ||  -> subclass(restrict(ordered_pair(u,v),w,x),y) equal(not_subclass_element(restrict(ordered_pair(u,v),w,x),y),unordered_pair(u,singleton(v)))** equal(not_subclass_element(restrict(ordered_pair(u,v),w,x),y),singleton(u)).
% 299.85/300.47  233795[5:Rew:233410.0,233557.3] || member(ordered_pair(universal_class,ordered_pair(u,least(image(v,image(w,identity_relation)),x))),compose(v,w))* member(u,x) subclass(x,y)* well_ordering(image(v,image(w,identity_relation)),y)* -> .
% 299.85/300.47  233796[5:Rew:233410.0,233472.1,233410.0,233472.0] || member(ordered_pair(universal_class,regular(image(u,image(v,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(u,image(v,identity_relation)),identity_relation) member(ordered_pair(universal_class,regular(image(u,image(v,identity_relation)))),compose(u,v))*.
% 299.85/300.47  235628[0:SpR:2089.1,20387.1] || subclass(rest_relation,rotate(u)) -> subclass(cross_product(v,w),x) member(ordered_pair(ordered_pair(second(not_subclass_element(cross_product(v,w),x)),rest_of(not_subclass_element(cross_product(v,w),x))),first(not_subclass_element(cross_product(v,w),x))),u)*.
% 299.85/300.47  235748[0:SpR:2089.1,20388.1] || subclass(rest_relation,flip(u)) -> subclass(cross_product(v,w),x) member(ordered_pair(not_subclass_element(cross_product(v,w),x),rest_of(ordered_pair(second(not_subclass_element(cross_product(v,w),x)),first(not_subclass_element(cross_product(v,w),x))))),u)*.
% 299.85/300.47  235739[0:SpR:2089.1,20388.1] || subclass(rest_relation,flip(u)) -> subclass(cross_product(v,w),x) member(ordered_pair(ordered_pair(second(not_subclass_element(cross_product(v,w),x)),first(not_subclass_element(cross_product(v,w),x))),rest_of(not_subclass_element(cross_product(v,w),x))),u)*.
% 299.85/300.47  242174[5:Rew:242089.0,242166.3] || member(ordered_pair(u,ordered_pair(v,least(range_of(identity_relation),w))),compose(complement(cross_product(image(x,singleton(u)),universal_class)),x))* member(v,w) subclass(w,y)* well_ordering(range_of(identity_relation),y)* -> .
% 299.85/300.47  251208[0:Rew:249197.0,249229.3] || member(u,v) subclass(v,w)* well_ordering(symmetrization_of(complement(power_class(x))),w)* -> member(ordered_pair(u,least(symmetrization_of(complement(power_class(x))),v)),intersection(power_class(x),complement(inverse(complement(power_class(x))))))*.
% 299.85/300.47  251209[0:Rew:249197.0,249230.3] || member(u,v) subclass(v,w)* well_ordering(successor(complement(power_class(x))),w)* -> member(ordered_pair(u,least(successor(complement(power_class(x))),v)),intersection(power_class(x),complement(singleton(complement(power_class(x))))))*.
% 299.85/300.47  251210[0:Rew:249197.0,249428.4] || member(u,universal_class) subclass(power_class(complement(power_class(v))),w)* well_ordering(x,w)* -> member(u,image(element_relation,power_class(v)))* member(least(x,power_class(complement(power_class(v)))),power_class(complement(power_class(v))))*.
% 299.85/300.47  254281[7:Rew:251758.0,254195.4] || member(u,universal_class) subclass(image(element_relation,singleton(identity_relation)),v)* well_ordering(w,v)* -> member(u,power_class(complement(singleton(identity_relation))))* member(least(w,image(element_relation,singleton(identity_relation))),image(element_relation,singleton(identity_relation)))*.
% 299.85/300.47  254537[5:Rew:251759.0,254451.4] || member(u,universal_class) subclass(image(element_relation,symmetrization_of(identity_relation)),v)* well_ordering(w,v)* -> member(u,power_class(complement(inverse(identity_relation))))* member(least(w,image(element_relation,symmetrization_of(identity_relation))),image(element_relation,symmetrization_of(identity_relation)))*.
% 299.85/300.47  254710[0:Res:249285.1,126.0] || member(u,universal_class) subclass(image(element_relation,power_class(v)),w)* well_ordering(x,w)* -> member(u,power_class(complement(power_class(v))))* member(least(x,image(element_relation,power_class(v))),image(element_relation,power_class(v)))*.
% 299.85/300.47  254709[5:Res:249285.1,5490.0] || member(u,universal_class) subclass(image(element_relation,power_class(v)),w)* well_ordering(omega,w) -> member(u,power_class(complement(power_class(v)))) equal(integer_of(ordered_pair(u,least(omega,image(element_relation,power_class(v))))),identity_relation)**.
% 299.85/300.47  254776[0:MRR:254727.0,29469.1] || member(not_subclass_element(u,intersection(v,image(element_relation,power_class(w)))),v)* -> member(not_subclass_element(u,intersection(v,image(element_relation,power_class(w)))),power_class(complement(power_class(w))))* subclass(u,intersection(v,image(element_relation,power_class(w)))).
% 299.85/300.47  255834[5:Res:34006.1,5490.0] || subclass(regular(cross_product(u,v)),w)* well_ordering(omega,w) -> equal(cross_product(u,v),identity_relation) equal(integer_of(ordered_pair(singleton(first(regular(cross_product(u,v)))),least(omega,regular(cross_product(u,v))))),identity_relation)**.
% 299.85/300.47  257257[0:Res:601.1,20569.2] || member(not_subclass_element(restrict(union(u,v),w,x),y),complement(v))* member(not_subclass_element(restrict(union(u,v),w,x),y),complement(u))* -> subclass(restrict(union(u,v),w,x),y).
% 299.85/300.47  258123[5:Rew:30.0,258052.2,30.0,258052.1] || well_ordering(u,universal_class) -> equal(restrict(v,w,x),identity_relation) equal(ordered_pair(first(least(u,restrict(v,w,x))),second(least(u,restrict(v,w,x)))),least(u,restrict(v,w,x)))**.
% 299.85/300.47  259225[5:SpL:5337.2,256435.0] || member(cross_product(u,v),universal_class) subclass(apply(choice,cross_product(u,v)),unordered_pair(first(apply(choice,cross_product(u,v))),singleton(second(apply(choice,cross_product(u,v))))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.47  259384[5:Res:30856.1,8083.0] || member(not_subclass_element(regular(intersection(u,v)),w),union(u,v)) -> member(not_subclass_element(regular(intersection(u,v)),w),symmetric_difference(u,v))* subclass(regular(intersection(u,v)),w) equal(intersection(u,v),identity_relation).
% 299.85/300.47  259342[5:Res:30856.1,29630.0] || member(apply(choice,regular(intersection(u,v))),union(u,v)) -> member(apply(choice,regular(intersection(u,v))),symmetric_difference(u,v))* equal(regular(intersection(u,v)),identity_relation) equal(intersection(u,v),identity_relation).
% 299.85/300.47  263590[5:Res:9102.1,5320.0] || section(cross_product(u,v),intersection(w,x),y) -> equal(domain_of(restrict(cross_product(y,intersection(w,x)),u,v)),identity_relation) member(regular(domain_of(restrict(cross_product(y,intersection(w,x)),u,v))),x)*.
% 299.85/300.47  263589[5:Res:9102.1,5321.0] || section(cross_product(u,v),intersection(w,x),y) -> equal(domain_of(restrict(cross_product(y,intersection(w,x)),u,v)),identity_relation) member(regular(domain_of(restrict(cross_product(y,intersection(w,x)),u,v))),w)*.
% 299.85/300.47  265408[5:Res:263560.1,3719.1] || equal(complement(u),identity_relation) member(ordered_pair(v,w),compose(x,y))* well_ordering(z,u)* -> member(least(z,image(x,image(y,singleton(v)))),image(x,image(y,singleton(v))))*.
% 299.85/300.47  265504[5:Res:28995.3,588.0] function(intersection(complement(u),complement(v))) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,intersection(complement(u),complement(v))),union(u,v))* -> equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.47  266801[5:Res:5419.2,123566.0] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(rest_of(v),identity_relation) equal(ordered_pair(first(ordered_pair(least(u,rest_of(v)),omega)),second(ordered_pair(least(u,rest_of(v)),omega))),ordered_pair(least(u,rest_of(v)),omega))**.
% 299.85/300.47  266800[5:Res:5420.2,123566.0] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(compose_class(v),identity_relation) equal(ordered_pair(first(ordered_pair(least(u,compose_class(v)),omega)),second(ordered_pair(least(u,compose_class(v)),omega))),ordered_pair(least(u,compose_class(v)),omega))**.
% 299.85/300.47  267735[5:Rew:5338.1,267712.2] || member(singleton(singleton(singleton(regular(cross_product(u,v))))),composition_function) -> equal(cross_product(u,v),identity_relation) equal(compose(singleton(regular(cross_product(u,v))),first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))**.
% 299.85/300.47  268673[5:Res:25231.1,5490.0] || subclass(union(u,v),w)* well_ordering(omega,w) -> equal(symmetric_difference(complement(u),complement(v)),identity_relation) equal(integer_of(ordered_pair(regular(symmetric_difference(complement(u),complement(v))),least(omega,union(u,v)))),identity_relation)**.
% 299.85/300.47  269623[3:Res:28061.2,7532.1] inductive(power_class(intersection(complement(u),complement(v)))) || well_ordering(w,power_class(intersection(complement(u),complement(v)))) member(least(w,power_class(intersection(complement(u),complement(v)))),image(element_relation,union(u,v)))* -> .
% 299.85/300.47  269618[5:Res:5403.2,7532.1] || well_ordering(u,power_class(intersection(complement(v),complement(w)))) member(least(u,power_class(intersection(complement(v),complement(w)))),image(element_relation,union(v,w)))* -> equal(power_class(intersection(complement(v),complement(w))),identity_relation).
% 299.85/300.47  270044[17:Res:195208.2,5490.0] || member(u,universal_class) subclass(domain_relation,symmetric_difference(v,w)) subclass(union(v,w),x)* well_ordering(omega,x) -> equal(integer_of(ordered_pair(ordered_pair(u,identity_relation),least(omega,union(v,w)))),identity_relation)**.
% 299.85/300.47  270094[5:SpR:251233.0,5585.1] ||  -> equal(symmetric_difference(union(complement(power_class(u)),v),union(power_class(u),complement(v))),identity_relation) member(regular(symmetric_difference(union(complement(power_class(u)),v),union(power_class(u),complement(v)))),complement(symmetric_difference(power_class(u),complement(v))))*.
% 299.85/300.47  270509[0:SpR:251244.0,941.0] ||  -> equal(intersection(union(u,intersection(union(complement(power_class(v)),w),complement(x))),union(complement(u),union(intersection(power_class(v),complement(w)),x))),symmetric_difference(complement(u),union(intersection(power_class(v),complement(w)),x)))**.
% 299.85/300.47  270469[0:SpR:251244.0,8659.0] ||  -> equal(power_class(intersection(union(intersection(power_class(u),complement(v)),w),complement(inverse(intersection(union(complement(power_class(u)),v),complement(w)))))),complement(image(element_relation,symmetrization_of(intersection(union(complement(power_class(u)),v),complement(w))))))**.
% 299.85/300.47  270467[0:SpR:251244.0,8660.0] ||  -> equal(power_class(intersection(union(intersection(power_class(u),complement(v)),w),complement(singleton(intersection(union(complement(power_class(u)),v),complement(w)))))),complement(image(element_relation,successor(intersection(union(complement(power_class(u)),v),complement(w))))))**.
% 299.85/300.47  270444[0:SpR:251244.0,941.0] ||  -> equal(intersection(union(intersection(union(complement(power_class(u)),v),complement(w)),x),union(union(intersection(power_class(u),complement(v)),w),complement(x))),symmetric_difference(union(intersection(power_class(u),complement(v)),w),complement(x)))**.
% 299.85/300.47  270787[5:Rew:251244.0,270686.2] || well_ordering(u,universal_class) member(least(u,union(intersection(power_class(v),complement(w)),x)),intersection(union(complement(power_class(v)),w),complement(x)))* -> equal(union(intersection(power_class(v),complement(w)),x),identity_relation).
% 299.85/300.47  270788[0:Rew:251244.0,270685.1] || member(not_subclass_element(intersection(u,union(intersection(power_class(v),complement(w)),x)),y),intersection(union(complement(power_class(v)),w),complement(x)))* -> subclass(intersection(u,union(intersection(power_class(v),complement(w)),x)),y).
% 299.85/300.47  270789[0:Rew:251244.0,270673.1] || member(not_subclass_element(intersection(union(intersection(power_class(u),complement(v)),w),x),y),intersection(union(complement(power_class(u)),v),complement(w)))* -> subclass(intersection(union(intersection(power_class(u),complement(v)),w),x),y).
% 299.85/300.47  270791[5:Rew:251244.0,270463.2] || subclass(omega,intersection(union(complement(power_class(u)),v),complement(w))) -> equal(integer_of(not_subclass_element(union(intersection(power_class(u),complement(v)),w),x)),identity_relation)** subclass(union(intersection(power_class(u),complement(v)),w),x).
% 299.85/300.47  30822[0:Res:366.1,2599.1] || member(not_subclass_element(intersection(complement(intersection(u,v)),w),x),union(u,v)) -> subclass(intersection(complement(intersection(u,v)),w),x) member(not_subclass_element(intersection(complement(intersection(u,v)),w),x),symmetric_difference(u,v))*.
% 299.85/300.47  30841[0:Res:356.1,2599.1] || member(not_subclass_element(intersection(u,complement(intersection(v,w))),x),union(v,w)) -> subclass(intersection(u,complement(intersection(v,w))),x) member(not_subclass_element(intersection(u,complement(intersection(v,w))),x),symmetric_difference(v,w))*.
% 299.85/300.47  47650[0:Res:29726.0,2599.1] || member(not_subclass_element(complement(complement(complement(intersection(u,v)))),w),union(u,v)) -> subclass(complement(complement(complement(intersection(u,v)))),w) member(not_subclass_element(complement(complement(complement(intersection(u,v)))),w),symmetric_difference(u,v))*.
% 299.85/300.47  36373[0:SpL:2089.1,34.0] || member(ordered_pair(not_subclass_element(cross_product(u,v),w),x),rotate(y)) -> subclass(cross_product(u,v),w) member(ordered_pair(ordered_pair(second(not_subclass_element(cross_product(u,v),w)),x),first(not_subclass_element(cross_product(u,v),w))),y)*.
% 299.85/300.47  36372[0:SpL:2089.1,37.0] || member(ordered_pair(not_subclass_element(cross_product(u,v),w),x),flip(y)) -> subclass(cross_product(u,v),w) member(ordered_pair(ordered_pair(second(not_subclass_element(cross_product(u,v),w)),first(not_subclass_element(cross_product(u,v),w))),x),y)*.
% 299.85/300.47  34712[0:Rew:941.0,34631.2,941.0,34631.1] || member(not_subclass_element(u,symmetric_difference(complement(v),complement(w))),union(complement(v),complement(w)))* member(not_subclass_element(u,symmetric_difference(complement(v),complement(w))),union(v,w)) -> subclass(u,symmetric_difference(complement(v),complement(w))).
% 299.85/300.47  34057[5:Rew:5338.1,34040.3] || equal(successor(first(regular(cross_product(u,v)))),second(regular(cross_product(u,v)))) member(regular(cross_product(u,v)),cross_product(universal_class,universal_class))* -> equal(cross_product(u,v),identity_relation) member(regular(cross_product(u,v)),successor_relation).
% 299.85/300.47  51990[5:Res:2603.2,8090.0] || member(regular(regular(restrict(u,v,w))),cross_product(v,w))* member(regular(regular(restrict(u,v,w))),u)* -> equal(regular(restrict(u,v,w)),identity_relation) equal(restrict(u,v,w),identity_relation).
% 299.85/300.47  51728[0:Res:20366.2,3926.0] || member(least(cross_product(u,domain_of(v)),w),universal_class)* subclass(rest_relation,rest_of(v)) member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,domain_of(v)),y)* -> .
% 299.85/300.47  183499[5:Res:5424.3,5490.0] || member(u,universal_class) well_ordering(v,u) subclass(sum_class(u),w)* well_ordering(omega,w) -> equal(sum_class(u),identity_relation) equal(integer_of(ordered_pair(least(v,sum_class(u)),least(omega,sum_class(u)))),identity_relation)**.
% 299.85/300.47  183446[5:Res:689.1,5490.0] || member(u,universal_class) subclass(intersection(complement(v),complement(w)),x)* well_ordering(omega,x) -> member(u,union(v,w)) equal(integer_of(ordered_pair(u,least(omega,intersection(complement(v),complement(w))))),identity_relation)**.
% 299.85/300.47  37853[5:Res:5432.3,2.0] || section(u,v,w) well_ordering(x,v) subclass(domain_of(restrict(u,w,v)),y) -> equal(domain_of(restrict(u,w,v)),identity_relation) member(least(x,domain_of(restrict(u,w,v))),y)*.
% 299.85/300.47  36237[5:MRR:36236.3,5184.0] || connected(u,v) well_ordering(w,v) subclass(singleton(least(w,not_well_ordering(u,v))),not_well_ordering(u,v)) -> well_ordering(u,v) section(w,singleton(least(w,not_well_ordering(u,v))),not_well_ordering(u,v))*.
% 299.85/300.47  37979[5:SpL:5337.2,46.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),successor_relation) -> equal(cross_product(u,v),identity_relation) equal(successor(first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.47  37977[5:SpL:5337.2,146.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),rest_relation) -> equal(cross_product(u,v),identity_relation) equal(rest_of(first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.47  37965[5:SpL:5337.2,100.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),domain_relation) -> equal(cross_product(u,v),identity_relation) equal(domain_of(first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.47  30702[5:Res:5331.2,9.0] || member(intersection(unordered_pair(u,v),w),universal_class) -> equal(intersection(unordered_pair(u,v),w),identity_relation) equal(apply(choice,intersection(unordered_pair(u,v),w)),v)** equal(apply(choice,intersection(unordered_pair(u,v),w)),u)**.
% 299.85/300.47  30711[5:Res:5331.2,588.0] || member(intersection(intersection(complement(u),complement(v)),w),universal_class) member(apply(choice,intersection(intersection(complement(u),complement(v)),w)),union(u,v))* -> equal(intersection(intersection(complement(u),complement(v)),w),identity_relation).
% 299.85/300.47  30596[5:Res:5330.2,9.0] || member(intersection(u,unordered_pair(v,w)),universal_class) -> equal(intersection(u,unordered_pair(v,w)),identity_relation) equal(apply(choice,intersection(u,unordered_pair(v,w))),w)** equal(apply(choice,intersection(u,unordered_pair(v,w))),v)**.
% 299.85/300.47  30605[5:Res:5330.2,588.0] || member(intersection(u,intersection(complement(v),complement(w))),universal_class) member(apply(choice,intersection(u,intersection(complement(v),complement(w)))),union(v,w))* -> equal(intersection(u,intersection(complement(v),complement(w))),identity_relation).
% 299.85/300.47  46328[0:Res:4017.2,3924.0] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class))* subclass(compose(v,w),y)* well_ordering(universal_class,y) -> subclass(image(v,image(w,singleton(u))),x).
% 299.85/300.47  34524[0:Rew:579.0,34507.3] || member(u,v) subclass(v,w)* well_ordering(power_class(intersection(complement(x),complement(y))),w)* -> member(ordered_pair(u,least(power_class(intersection(complement(x),complement(y))),v)),image(element_relation,union(x,y)))*.
% 299.85/300.47  39157[5:MRR:39156.0,15.1] || member(ordered_pair(u,regular(image(v,range_of(identity_relation)))),cross_product(universal_class,universal_class)) -> member(u,domain_of(w)) equal(image(v,range_of(identity_relation)),identity_relation) member(ordered_pair(u,regular(image(v,range_of(identity_relation)))),compose(v,w))*.
% 299.85/300.47  198535[5:Res:754.1,5490.0] || member(restrict(u,v,singleton(w)),universal_class) subclass(domain_relation,x) well_ordering(omega,x)* -> equal(integer_of(ordered_pair(ordered_pair(restrict(u,v,singleton(w)),segment(u,v,w)),least(omega,domain_relation))),identity_relation)**.
% 299.85/300.47  202657[15:Rew:191728.0,202641.3] || member(ordered_pair(range_of(identity_relation),ordered_pair(u,least(image(v,image(w,identity_relation)),x))),compose(v,w))* member(u,x) subclass(x,y)* well_ordering(image(v,image(w,identity_relation)),y)* -> .
% 299.85/300.47  203575[5:Res:146436.1,3719.1] || equal(inverse(u),universal_class) member(ordered_pair(v,w),compose(x,y))* well_ordering(z,inverse(u))* -> member(least(z,image(x,image(y,singleton(v)))),image(x,image(y,singleton(v))))*.
% 299.85/300.47  203574[5:Res:162500.1,3719.1] || equal(complement(u),universal_class) member(ordered_pair(v,w),compose(x,y))* well_ordering(z,complement(u))* -> member(least(z,image(x,image(y,singleton(v)))),image(x,image(y,singleton(v))))*.
% 299.85/300.47  203573[5:Res:150282.1,3719.1] || equal(range_of(u),universal_class) member(ordered_pair(v,w),compose(x,y))* well_ordering(z,range_of(u))* -> member(least(z,image(x,image(y,singleton(v)))),image(x,image(y,singleton(v))))*.
% 299.85/300.47  203571[5:Res:146432.1,3719.1] || equal(sum_class(u),universal_class) member(ordered_pair(v,w),compose(x,y))* well_ordering(z,sum_class(u))* -> member(least(z,image(x,image(y,singleton(v)))),image(x,image(y,singleton(v))))*.
% 299.85/300.47  203570[5:Res:163531.1,3719.1] || equal(power_class(u),universal_class) member(ordered_pair(v,w),compose(x,y))* well_ordering(z,power_class(u))* -> member(least(z,image(x,image(y,singleton(v)))),image(x,image(y,singleton(v))))*.
% 299.85/300.47  209017[15:Rew:208959.1,124977.2] function(restrict(cross_product(u,universal_class),v,w)) || subclass(image(cross_product(v,w),u),domain_of(domain_of(x))) equal(domain_of(domain_of(y)),universal_class) -> compatible(restrict(cross_product(u,universal_class),v,w),y,x)*.
% 299.85/300.47  203210[16:MRR:121937.2,203206.0] || member(ordered_pair(u,regular(range_of(identity_relation))),cross_product(universal_class,universal_class)) -> equal(cross_product(image(v,singleton(u)),universal_class),identity_relation) member(ordered_pair(u,regular(range_of(identity_relation))),compose(regular(cross_product(image(v,singleton(u)),universal_class)),v))*.
% 299.85/300.47  213919[17:Res:195387.1,3920.0] || subclass(domain_relation,rotate(u)) member(ordered_pair(ordered_pair(v,identity_relation),least(intersection(w,u),x)),w)* member(ordered_pair(v,identity_relation),x) subclass(x,y)* well_ordering(intersection(w,u),y)* -> .
% 299.85/300.47  213886[17:Res:195387.1,60.0] || subclass(domain_relation,rotate(image(u,image(v,singleton(w))))) member(ordered_pair(w,ordered_pair(ordered_pair(x,identity_relation),y)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,ordered_pair(ordered_pair(x,identity_relation),y)),compose(u,v))*.
% 299.85/300.47  213988[17:Res:195388.1,60.0] || subclass(domain_relation,flip(image(u,image(v,singleton(w))))) member(ordered_pair(w,ordered_pair(ordered_pair(x,y),identity_relation)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,ordered_pair(ordered_pair(x,y),identity_relation)),compose(u,v))*.
% 299.85/300.47  217649[5:SpR:122711.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(complement(u),union(v,identity_relation))),union(union(u,symmetric_difference(universal_class,v)),union(complement(u),union(v,identity_relation)))),symmetric_difference(union(u,symmetric_difference(universal_class,v)),union(complement(u),union(v,identity_relation))))**.
% 299.85/300.47  218247[5:SpR:122708.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(union(u,identity_relation),complement(v))),union(union(symmetric_difference(universal_class,u),v),union(union(u,identity_relation),complement(v)))),symmetric_difference(union(symmetric_difference(universal_class,u),v),union(union(u,identity_relation),complement(v))))**.
% 299.85/300.47  220185[17:Rew:209749.1,220140.2] function(least(intersection(u,v),w)) || member(singleton(singleton(identity_relation)),v) member(singleton(singleton(identity_relation)),u) member(identity_relation,w)* subclass(w,x)* well_ordering(intersection(u,v),x)* -> .
% 299.85/300.47  227526[5:Res:2603.2,5602.0] || member(regular(intersection(complement(restrict(u,v,w)),x)),cross_product(v,w))* member(regular(intersection(complement(restrict(u,v,w)),x)),u)* -> equal(intersection(complement(restrict(u,v,w)),x),identity_relation).
% 299.85/300.47  227944[5:Res:2603.2,5577.0] || member(regular(intersection(u,complement(restrict(v,w,x)))),cross_product(w,x))* member(regular(intersection(u,complement(restrict(v,w,x)))),v)* -> equal(intersection(u,complement(restrict(v,w,x))),identity_relation).
% 299.85/300.47  233797[5:Rew:233410.0,233554.3] || member(ordered_pair(universal_class,u),compose(v,w))* subclass(image(v,image(w,identity_relation)),x)* well_ordering(y,x)* -> member(least(y,image(v,image(w,identity_relation))),image(v,image(w,identity_relation)))*.
% 299.85/300.47  235203[5:Res:2603.2,8058.1] || member(least(u,complement(restrict(v,w,x))),cross_product(w,x))* member(least(u,complement(restrict(v,w,x))),v)* well_ordering(u,universal_class) -> equal(complement(restrict(v,w,x)),identity_relation).
% 299.85/300.47  235653[0:Res:20387.1,2599.1] || subclass(rest_relation,rotate(complement(intersection(u,v)))) member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),union(u,v)) -> member(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x),symmetric_difference(u,v))*.
% 299.85/300.47  235769[0:Res:20388.1,2599.1] || subclass(rest_relation,flip(complement(intersection(u,v)))) member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),union(u,v)) -> member(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))),symmetric_difference(u,v))*.
% 299.85/300.47  235948[5:Res:5462.2,2612.0] || subclass(omega,symmetric_difference(u,v)) member(not_subclass_element(w,intersection(x,union(u,v))),x)* -> equal(integer_of(not_subclass_element(w,intersection(x,union(u,v)))),identity_relation) subclass(w,intersection(x,union(u,v))).
% 299.85/300.47  237356[5:Res:5580.1,1043.0] ||  -> equal(intersection(u,intersection(v,ordered_pair(w,x))),identity_relation) equal(regular(intersection(u,intersection(v,ordered_pair(w,x)))),unordered_pair(w,singleton(x)))** equal(regular(intersection(u,intersection(v,ordered_pair(w,x)))),singleton(w)).
% 299.85/300.47  237445[5:Rew:29.0,237341.1,29.0,237341.0] ||  -> equal(intersection(u,restrict(v,w,x)),identity_relation) equal(ordered_pair(first(regular(intersection(u,restrict(v,w,x)))),second(regular(intersection(u,restrict(v,w,x))))),regular(intersection(u,restrict(v,w,x))))**.
% 299.85/300.47  237949[5:Res:5581.1,1043.0] ||  -> equal(intersection(u,intersection(ordered_pair(v,w),x)),identity_relation) equal(regular(intersection(u,intersection(ordered_pair(v,w),x))),unordered_pair(v,singleton(w)))** equal(regular(intersection(u,intersection(ordered_pair(v,w),x))),singleton(v)).
% 299.85/300.47  238745[5:Res:5605.1,1043.0] ||  -> equal(intersection(intersection(u,ordered_pair(v,w)),x),identity_relation) equal(regular(intersection(intersection(u,ordered_pair(v,w)),x)),unordered_pair(v,singleton(w)))** equal(regular(intersection(intersection(u,ordered_pair(v,w)),x)),singleton(v)).
% 299.85/300.47  238842[5:Rew:29.0,238730.1,29.0,238730.0] ||  -> equal(intersection(restrict(u,v,w),x),identity_relation) equal(ordered_pair(first(regular(intersection(restrict(u,v,w),x))),second(regular(intersection(restrict(u,v,w),x)))),regular(intersection(restrict(u,v,w),x)))**.
% 299.85/300.47  239539[5:Res:5606.1,1043.0] ||  -> equal(intersection(intersection(ordered_pair(u,v),w),x),identity_relation) equal(regular(intersection(intersection(ordered_pair(u,v),w),x)),unordered_pair(u,singleton(v)))** equal(regular(intersection(intersection(ordered_pair(u,v),w),x)),singleton(u)).
% 299.85/300.47  241729[0:SpR:938.0,8335.1] ||  -> subclass(symmetric_difference(complement(restrict(u,v,w)),union(u,cross_product(v,w))),x) member(not_subclass_element(symmetric_difference(complement(restrict(u,v,w)),union(u,cross_product(v,w))),x),complement(symmetric_difference(u,cross_product(v,w))))*.
% 299.85/300.47  241728[0:SpR:939.0,8335.1] ||  -> subclass(symmetric_difference(complement(restrict(u,v,w)),union(cross_product(v,w),u)),x) member(not_subclass_element(symmetric_difference(complement(restrict(u,v,w)),union(cross_product(v,w),u)),x),complement(symmetric_difference(cross_product(v,w),u)))*.
% 299.85/300.47  242177[5:Rew:242089.0,242148.1,242089.0,242148.0] || member(ordered_pair(u,regular(image(v,range_of(identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,range_of(identity_relation)),identity_relation) member(ordered_pair(u,regular(image(v,range_of(identity_relation)))),compose(v,complement(cross_product(singleton(u),universal_class))))*.
% 299.85/300.47  247281[0:SpL:21037.0,2599.1] || member(u,union(successor(v),union(complement(v),complement(singleton(v))))) member(u,complement(symmetric_difference(complement(v),complement(singleton(v))))) -> member(u,symmetric_difference(successor(v),union(complement(v),complement(singleton(v)))))*.
% 299.85/300.47  248571[0:SpL:21036.0,2599.1] || member(u,union(symmetrization_of(v),union(complement(v),complement(inverse(v))))) member(u,complement(symmetric_difference(complement(v),complement(inverse(v))))) -> member(u,symmetric_difference(symmetrization_of(v),union(complement(v),complement(inverse(v)))))*.
% 299.85/300.47  257242[5:Res:5606.1,20569.2] || member(regular(intersection(intersection(union(u,v),w),x)),complement(v))* member(regular(intersection(intersection(union(u,v),w),x)),complement(u))* -> equal(intersection(intersection(union(u,v),w),x),identity_relation).
% 299.85/300.47  257241[5:Res:5605.1,20569.2] || member(regular(intersection(intersection(u,union(v,w)),x)),complement(w))* member(regular(intersection(intersection(u,union(v,w)),x)),complement(v))* -> equal(intersection(intersection(u,union(v,w)),x),identity_relation).
% 299.85/300.47  257240[5:Res:5581.1,20569.2] || member(regular(intersection(u,intersection(union(v,w),x))),complement(w))* member(regular(intersection(u,intersection(union(v,w),x))),complement(v))* -> equal(intersection(u,intersection(union(v,w),x)),identity_relation).
% 299.85/300.47  257239[5:Res:5580.1,20569.2] || member(regular(intersection(u,intersection(v,union(w,x)))),complement(x))* member(regular(intersection(u,intersection(v,union(w,x)))),complement(w))* -> equal(intersection(u,intersection(v,union(w,x))),identity_relation).
% 299.85/300.47  258080[5:Res:8059.2,3926.0] || well_ordering(cross_product(u,v),universal_class)* member(w,u)* member(w,intersection(v,x))* subclass(intersection(v,x),y)* well_ordering(cross_product(u,v),y)* -> equal(intersection(v,x),identity_relation).
% 299.85/300.47  258070[5:Res:8059.2,1043.0] || well_ordering(u,universal_class) -> equal(intersection(ordered_pair(v,w),x),identity_relation) equal(least(u,intersection(ordered_pair(v,w),x)),unordered_pair(v,singleton(w)))** equal(least(u,intersection(ordered_pair(v,w),x)),singleton(v)).
% 299.85/300.47  258061[5:Res:8059.2,20569.2] || well_ordering(u,universal_class) member(least(u,intersection(union(v,w),x)),complement(w))* member(least(u,intersection(union(v,w),x)),complement(v))* -> equal(intersection(union(v,w),x),identity_relation).
% 299.85/300.47  258274[5:Res:8060.2,3926.0] || well_ordering(cross_product(u,v),universal_class)* member(w,u)* member(w,intersection(x,v))* subclass(intersection(x,v),y)* well_ordering(cross_product(u,v),y)* -> equal(intersection(x,v),identity_relation).
% 299.85/300.47  258264[5:Res:8060.2,1043.0] || well_ordering(u,universal_class) -> equal(intersection(v,ordered_pair(w,x)),identity_relation) equal(least(u,intersection(v,ordered_pair(w,x))),unordered_pair(w,singleton(x)))** equal(least(u,intersection(v,ordered_pair(w,x))),singleton(w)).
% 299.85/300.47  258255[5:Res:8060.2,20569.2] || well_ordering(u,universal_class) member(least(u,intersection(v,union(w,x))),complement(x))* member(least(u,intersection(v,union(w,x))),complement(w))* -> equal(intersection(v,union(w,x)),identity_relation).
% 299.85/300.47  263588[0:Res:9102.1,8433.0] || section(cross_product(u,v),intersection(w,x),y) -> subclass(domain_of(restrict(cross_product(y,intersection(w,x)),u,v)),z) member(not_subclass_element(domain_of(restrict(cross_product(y,intersection(w,x)),u,v)),z),x)*.
% 299.85/300.47  263587[0:Res:9102.1,8432.0] || section(cross_product(u,v),intersection(w,x),y) -> subclass(domain_of(restrict(cross_product(y,intersection(w,x)),u,v)),z) member(not_subclass_element(domain_of(restrict(cross_product(y,intersection(w,x)),u,v)),z),w)*.
% 299.85/300.47  265515[5:Res:28995.3,8150.0] function(symmetric_difference(cross_product(u,v),w)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(symmetric_difference(cross_product(u,v),w),identity_relation) member(least(element_relation,symmetric_difference(cross_product(u,v),w)),complement(restrict(w,u,v)))*.
% 299.85/300.47  265511[5:Res:28995.3,8147.0] function(symmetric_difference(u,cross_product(v,w))) || member(cross_product(universal_class,universal_class),universal_class) -> equal(symmetric_difference(u,cross_product(v,w)),identity_relation) member(least(element_relation,symmetric_difference(u,cross_product(v,w))),complement(restrict(u,v,w)))*.
% 299.85/300.47  268962[5:MRR:268897.3,204351.2] || member(regular(intersection(u,regular(restrict(v,w,x)))),cross_product(w,x))* member(regular(intersection(u,regular(restrict(v,w,x)))),v)* -> equal(intersection(u,regular(restrict(v,w,x))),identity_relation).
% 299.85/300.47  269140[5:MRR:269073.3,204351.2] || member(regular(intersection(regular(restrict(u,v,w)),x)),cross_product(v,w))* member(regular(intersection(regular(restrict(u,v,w)),x)),u)* -> equal(intersection(regular(restrict(u,v,w)),x),identity_relation).
% 299.85/300.47  270095[0:SpR:251233.0,8335.1] ||  -> subclass(symmetric_difference(union(complement(power_class(u)),v),union(power_class(u),complement(v))),w) member(not_subclass_element(symmetric_difference(union(complement(power_class(u)),v),union(power_class(u),complement(v))),w),complement(symmetric_difference(power_class(u),complement(v))))*.
% 299.85/300.47  34174[0:Res:3654.2,95.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cross_product(universal_class,universal_class)) equal(compose(w,u),ordered_pair(v,compose(u,v))) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),compose_class(w))*.
% 299.85/300.47  34713[0:MRR:34662.0,29469.1] || member(not_subclass_element(u,intersection(v,intersection(complement(w),complement(x)))),v)* -> member(not_subclass_element(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* subclass(u,intersection(v,intersection(complement(w),complement(x)))).
% 299.85/300.47  34052[5:SpL:5338.1,1043.0] || member(u,regular(cross_product(v,w)))* -> equal(cross_product(v,w),identity_relation) equal(u,unordered_pair(first(regular(cross_product(v,w))),singleton(second(regular(cross_product(v,w))))))* equal(u,singleton(first(regular(cross_product(v,w))))).
% 299.85/300.47  117916[5:Res:5343.1,2599.1] || member(regular(restrict(complement(intersection(u,v)),w,x)),union(u,v)) -> equal(restrict(complement(intersection(u,v)),w,x),identity_relation) member(regular(restrict(complement(intersection(u,v)),w,x)),symmetric_difference(u,v))*.
% 299.85/300.47  36797[5:Res:5420.2,3926.0] || well_ordering(cross_product(u,compose_class(v)),cross_product(universal_class,universal_class))* member(w,u)* member(w,compose_class(v))* subclass(compose_class(v),x) well_ordering(cross_product(u,compose_class(v)),x)* -> equal(compose_class(v),identity_relation).
% 299.85/300.47  36798[5:Res:5419.2,3926.0] || well_ordering(cross_product(u,rest_of(v)),cross_product(universal_class,universal_class))* member(w,u)* member(w,rest_of(v))* subclass(rest_of(v),x) well_ordering(cross_product(u,rest_of(v)),x)* -> equal(rest_of(v),identity_relation).
% 299.85/300.47  36783[0:Res:943.1,3926.0] || member(least(cross_product(u,complement(intersection(v,w))),x),symmetric_difference(v,w))* member(y,u)* member(y,x)* subclass(x,z)* well_ordering(cross_product(u,complement(intersection(v,w))),z)* -> .
% 299.85/300.47  183463[5:Res:3892.3,5490.0] || member(u,universal_class) member(v,universal_class) equal(compose(w,v),u) subclass(compose_class(w),x)* well_ordering(omega,x) -> equal(integer_of(ordered_pair(ordered_pair(v,u),least(omega,compose_class(w)))),identity_relation)**.
% 299.85/300.47  183502[5:Res:3654.2,5490.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,w) subclass(w,x)* well_ordering(omega,x)* -> equal(integer_of(ordered_pair(ordered_pair(u,ordered_pair(v,compose(u,v))),least(omega,w))),identity_relation)**.
% 299.85/300.47  123659[5:Res:5213.0,3920.0] || member(ordered_pair(u,least(intersection(v,omega),w)),v)* member(u,w) subclass(w,x)* well_ordering(intersection(v,omega),x)* -> equal(integer_of(ordered_pair(u,least(intersection(v,omega),w))),identity_relation).
% 299.85/300.47  27931[0:Res:689.1,126.0] || member(u,universal_class) subclass(intersection(complement(v),complement(w)),x)* well_ordering(y,x)* -> member(u,union(v,w))* member(least(y,intersection(complement(v),complement(w))),intersection(complement(v),complement(w)))*.
% 299.85/300.47  49003[3:Res:28061.2,2599.1] inductive(complement(intersection(u,v))) || well_ordering(w,complement(intersection(u,v))) member(least(w,complement(intersection(u,v))),union(u,v)) -> member(least(w,complement(intersection(u,v))),symmetric_difference(u,v))*.
% 299.85/300.47  48807[5:Res:5403.2,2599.1] || well_ordering(u,complement(intersection(v,w))) member(least(u,complement(intersection(v,w))),union(v,w)) -> equal(complement(intersection(v,w)),identity_relation) member(least(u,complement(intersection(v,w))),symmetric_difference(v,w))*.
% 299.85/300.47  30834[5:Res:5216.2,2599.1] || member(complement(intersection(u,v)),universal_class) member(apply(choice,complement(intersection(u,v))),union(u,v)) -> equal(complement(intersection(u,v)),identity_relation) member(apply(choice,complement(intersection(u,v))),symmetric_difference(u,v))*.
% 299.85/300.47  20357[0:Res:780.2,60.0] || member(u,universal_class) subclass(rest_relation,image(v,image(w,singleton(x)))) member(ordered_pair(x,ordered_pair(u,rest_of(u))),cross_product(universal_class,universal_class)) -> member(ordered_pair(x,ordered_pair(u,rest_of(u))),compose(v,w))*.
% 299.85/300.47  183504[5:Res:59.1,5490.0] || member(ordered_pair(u,v),compose(w,x)) subclass(image(w,image(x,singleton(u))),y)* well_ordering(omega,y) -> equal(integer_of(ordered_pair(v,least(omega,image(w,image(x,singleton(u)))))),identity_relation)**.
% 299.85/300.47  201487[5:SpL:5251.1,74983.1] || well_ordering(element_relation,image(choice,singleton(singleton(u))))* subclass(u,image(choice,singleton(singleton(u))))* -> equal(singleton(u),identity_relation) equal(image(choice,singleton(singleton(u))),universal_class) member(image(choice,singleton(singleton(u))),universal_class).
% 299.85/300.47  202659[15:Rew:191663.0,202643.3] || member(ordered_pair(sum_class(range_of(identity_relation)),ordered_pair(u,least(image(v,image(w,identity_relation)),x))),compose(v,w))* member(u,x) subclass(x,y)* well_ordering(image(v,image(w,identity_relation)),y)* -> .
% 299.85/300.47  202837[15:Rew:191728.0,202819.1,191728.0,202819.0] || member(ordered_pair(range_of(identity_relation),regular(image(u,image(v,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(u,image(v,identity_relation)),identity_relation) member(ordered_pair(range_of(identity_relation),regular(image(u,image(v,identity_relation)))),compose(u,v))*.
% 299.85/300.47  203579[15:Rew:191728.0,203555.3] || member(ordered_pair(range_of(identity_relation),u),compose(v,w))* subclass(image(v,image(w,identity_relation)),x)* well_ordering(y,x)* -> member(least(y,image(v,image(w,identity_relation))),image(v,image(w,identity_relation)))*.
% 299.85/300.47  210394[15:SoR:209003.0,8479.2] single_valued_class(restrict(u,v,universal_class)) || subclass(image(u,v),domain_of(domain_of(w))) equal(domain_of(domain_of(x)),universal_class) equal(restrict(u,v,universal_class),identity_relation) -> compatible(restrict(u,v,universal_class),x,w)*.
% 299.85/300.47  121925[5:SpL:26481.1,60.0] || member(u,range_of(identity_relation)) member(ordered_pair(v,u),cross_product(universal_class,universal_class)) -> equal(cross_product(image(w,singleton(v)),universal_class),identity_relation) member(ordered_pair(v,u),compose(regular(cross_product(image(w,singleton(v)),universal_class)),w))*.
% 299.85/300.47  221733[15:SpL:9093.0,209009.1] function(restrict(cross_product(u,universal_class),v,w)) || subclass(image(cross_product(v,w),u),domain_of(range_of(x))) equal(domain_of(domain_of(y)),universal_class) -> compatible(restrict(cross_product(u,universal_class),v,w),y,inverse(x))*.
% 299.85/300.47  229240[5:SpL:8055.2,3926.0] || well_ordering(cross_product(u,v),universal_class)* member(w,v)* member(x,u)* member(x,singleton(w))* subclass(singleton(w),y)* well_ordering(cross_product(u,v),y)* -> equal(singleton(w),identity_relation).
% 299.85/300.47  233798[5:Rew:233410.0,233473.1,233410.0,233473.0] || member(ordered_pair(universal_class,not_subclass_element(image(u,image(v,identity_relation)),w)),cross_product(universal_class,universal_class)) -> subclass(image(u,image(v,identity_relation)),w) member(ordered_pair(universal_class,not_subclass_element(image(u,image(v,identity_relation)),w)),compose(u,v))*.
% 299.85/300.47  233967[0:Res:59.1,28903.1] || member(ordered_pair(u,singleton(image(v,image(w,singleton(u))))),compose(v,w))* member(image(v,image(w,singleton(u))),universal_class) -> member(singleton(singleton(singleton(image(v,image(w,singleton(u)))))),element_relation).
% 299.85/300.47  233956[0:Res:2603.2,28903.1] || member(singleton(restrict(u,v,w)),cross_product(v,w))* member(singleton(restrict(u,v,w)),u)* member(restrict(u,v,w),universal_class) -> member(singleton(singleton(singleton(restrict(u,v,w)))),element_relation)*.
% 299.85/300.47  241540[5:Res:119.1,5316.0] || transitive(u,v) subclass(restrict(u,v,v),w) -> equal(compose(restrict(u,v,v),restrict(u,v,v)),identity_relation) member(regular(compose(restrict(u,v,v),restrict(u,v,v))),w)*.
% 299.85/300.47  242025[5:Res:5330.2,8150.0] || member(intersection(u,symmetric_difference(cross_product(v,w),x)),universal_class) -> equal(intersection(u,symmetric_difference(cross_product(v,w),x)),identity_relation) member(apply(choice,intersection(u,symmetric_difference(cross_product(v,w),x))),complement(restrict(x,v,w)))*.
% 299.85/300.47  242006[5:Res:5331.2,8150.0] || member(intersection(symmetric_difference(cross_product(u,v),w),x),universal_class) -> equal(intersection(symmetric_difference(cross_product(u,v),w),x),identity_relation) member(apply(choice,intersection(symmetric_difference(cross_product(u,v),w),x)),complement(restrict(w,u,v)))*.
% 299.85/300.47  242107[5:SpL:227625.0,3925.1] || member(u,domain_of(complement(cross_product(u,universal_class))))* equal(least(rest_of(complement(cross_product(u,universal_class))),v),identity_relation)** member(u,v) subclass(v,w)* well_ordering(rest_of(complement(cross_product(u,universal_class))),w)* -> .
% 299.85/300.47  242173[5:Rew:242089.0,242161.3] || member(ordered_pair(u,ordered_pair(v,least(image(w,range_of(identity_relation)),x))),compose(w,complement(cross_product(singleton(u),universal_class))))* member(v,x) subclass(x,y)* well_ordering(image(w,range_of(identity_relation)),y)* -> .
% 299.85/300.47  242178[5:Rew:242089.0,242158.3] || member(ordered_pair(u,v),compose(w,complement(cross_product(singleton(u),universal_class))))* subclass(image(w,range_of(identity_relation)),x)* well_ordering(y,x)* -> member(least(y,image(w,range_of(identity_relation))),image(w,range_of(identity_relation)))*.
% 299.85/300.47  242297[5:Res:5330.2,8147.0] || member(intersection(u,symmetric_difference(v,cross_product(w,x))),universal_class) -> equal(intersection(u,symmetric_difference(v,cross_product(w,x))),identity_relation) member(apply(choice,intersection(u,symmetric_difference(v,cross_product(w,x)))),complement(restrict(v,w,x)))*.
% 299.85/300.47  242277[5:Res:5331.2,8147.0] || member(intersection(symmetric_difference(u,cross_product(v,w)),x),universal_class) -> equal(intersection(symmetric_difference(u,cross_product(v,w)),x),identity_relation) member(apply(choice,intersection(symmetric_difference(u,cross_product(v,w)),x)),complement(restrict(u,v,w)))*.
% 299.85/300.47  249394[5:Rew:249197.0,246776.1] || member(union(u,image(element_relation,power_class(v))),universal_class) member(apply(choice,union(u,image(element_relation,power_class(v)))),intersection(complement(u),power_class(complement(power_class(v)))))* -> equal(union(u,image(element_relation,power_class(v))),identity_relation).
% 299.85/300.47  249768[5:Rew:249197.0,246347.1] || member(union(image(element_relation,power_class(u)),v),universal_class) member(apply(choice,union(image(element_relation,power_class(u)),v)),intersection(power_class(complement(power_class(u))),complement(v)))* -> equal(union(image(element_relation,power_class(u)),v),identity_relation).
% 299.85/300.47  252695[0:SpR:249200.0,21036.0] ||  -> equal(intersection(symmetrization_of(intersection(complement(u),power_class(v))),union(union(u,complement(power_class(v))),complement(inverse(intersection(complement(u),power_class(v)))))),symmetric_difference(union(u,complement(power_class(v))),complement(inverse(intersection(complement(u),power_class(v))))))**.
% 299.85/300.47  252694[0:SpR:249200.0,21037.0] ||  -> equal(intersection(successor(intersection(complement(u),power_class(v))),union(union(u,complement(power_class(v))),complement(singleton(intersection(complement(u),power_class(v)))))),symmetric_difference(union(u,complement(power_class(v))),complement(singleton(intersection(complement(u),power_class(v))))))**.
% 299.85/300.47  253025[0:SpR:249208.0,21036.0] ||  -> equal(intersection(symmetrization_of(intersection(power_class(u),complement(v))),union(union(complement(power_class(u)),v),complement(inverse(intersection(power_class(u),complement(v)))))),symmetric_difference(union(complement(power_class(u)),v),complement(inverse(intersection(power_class(u),complement(v))))))**.
% 299.85/300.47  253024[0:SpR:249208.0,21037.0] ||  -> equal(intersection(successor(intersection(power_class(u),complement(v))),union(union(complement(power_class(u)),v),complement(singleton(intersection(power_class(u),complement(v)))))),symmetric_difference(union(complement(power_class(u)),v),complement(singleton(intersection(power_class(u),complement(v))))))**.
% 299.85/300.47  253641[0:Rew:27.0,253590.0] ||  -> equal(intersection(complement(symmetric_difference(complement(power_class(u)),complement(power_class(v)))),union(union(power_class(u),power_class(v)),complement(intersection(power_class(u),power_class(v))))),symmetric_difference(union(power_class(u),power_class(v)),complement(intersection(power_class(u),power_class(v)))))**.
% 299.85/300.47  259289[0:SpR:938.0,30856.1] || member(u,union(complement(restrict(v,w,x)),union(v,cross_product(w,x)))) -> member(u,symmetric_difference(v,cross_product(w,x))) member(u,symmetric_difference(complement(restrict(v,w,x)),union(v,cross_product(w,x))))*.
% 299.85/300.47  259288[0:SpR:939.0,30856.1] || member(u,union(complement(restrict(v,w,x)),union(cross_product(w,x),v))) -> member(u,symmetric_difference(cross_product(w,x),v)) member(u,symmetric_difference(complement(restrict(v,w,x)),union(cross_product(w,x),v)))*.
% 299.85/300.47  265516[5:Res:28995.3,20569.2] function(union(u,v)) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,union(u,v)),complement(v))* member(least(element_relation,union(u,v)),complement(u))* -> equal(union(u,v),identity_relation).
% 299.85/300.47  265506[5:Res:28995.3,251419.0] function(intersection(complement(u),power_class(v))) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,intersection(complement(u),power_class(v))),union(u,complement(power_class(v))))* -> equal(intersection(complement(u),power_class(v)),identity_relation).
% 299.85/300.47  265505[5:Res:28995.3,251410.0] function(intersection(power_class(u),complement(v))) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,intersection(power_class(u),complement(v))),union(complement(power_class(u)),v))* -> equal(intersection(power_class(u),complement(v)),identity_relation).
% 299.85/300.47  266807[5:Res:5424.3,123566.0] || member(u,universal_class) well_ordering(v,u) -> equal(sum_class(u),identity_relation) equal(ordered_pair(first(ordered_pair(least(v,sum_class(u)),omega)),second(ordered_pair(least(v,sum_class(u)),omega))),ordered_pair(least(v,sum_class(u)),omega))**.
% 299.85/300.47  268787[5:SpR:2089.1,5563.1] || subclass(omega,composition_function) -> subclass(cross_product(u,v),w) equal(integer_of(ordered_pair(x,not_subclass_element(cross_product(u,v),w))),identity_relation) equal(compose(x,first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.47  270128[0:SpR:251233.0,30856.1] || member(u,union(union(complement(power_class(v)),w),union(power_class(v),complement(w)))) -> member(u,symmetric_difference(power_class(v),complement(w))) member(u,symmetric_difference(union(complement(power_class(v)),w),union(power_class(v),complement(w))))*.
% 299.85/300.47  270792[5:Rew:251244.0,270508.0] ||  -> equal(symmetric_difference(complement(u),union(intersection(power_class(v),complement(w)),x)),identity_relation) member(regular(symmetric_difference(complement(u),union(intersection(power_class(v),complement(w)),x))),union(u,intersection(union(complement(power_class(v)),w),complement(x))))*.
% 299.85/300.47  270793[5:Rew:251244.0,270443.0] ||  -> equal(symmetric_difference(union(intersection(power_class(u),complement(v)),w),complement(x)),identity_relation) member(regular(symmetric_difference(union(intersection(power_class(u),complement(v)),w),complement(x))),union(intersection(union(complement(power_class(u)),v),complement(w)),x))*.
% 299.85/300.47  34714[0:Rew:939.0,34624.2,939.0,34624.1] || member(not_subclass_element(u,symmetric_difference(cross_product(v,w),x)),union(cross_product(v,w),x))* member(not_subclass_element(u,symmetric_difference(cross_product(v,w),x)),complement(restrict(x,v,w))) -> subclass(u,symmetric_difference(cross_product(v,w),x)).
% 299.85/300.47  34715[0:Rew:938.0,34623.2,938.0,34623.1] || member(not_subclass_element(u,symmetric_difference(v,cross_product(w,x))),union(v,cross_product(w,x)))* member(not_subclass_element(u,symmetric_difference(v,cross_product(w,x))),complement(restrict(v,w,x))) -> subclass(u,symmetric_difference(v,cross_product(w,x))).
% 299.85/300.47  36356[0:SpR:2089.1,29470.2] || member(second(not_subclass_element(cross_product(u,v),w)),universal_class) member(first(not_subclass_element(cross_product(u,v),w)),second(not_subclass_element(cross_product(u,v),w)))* -> subclass(cross_product(u,v),w) member(not_subclass_element(cross_product(u,v),w),element_relation).
% 299.85/300.47  34058[5:Rew:5338.1,34051.3] || equal(compose(u,first(regular(cross_product(v,w)))),second(regular(cross_product(v,w))))** member(regular(cross_product(v,w)),cross_product(universal_class,universal_class))* -> equal(cross_product(v,w),identity_relation) member(regular(cross_product(v,w)),compose_class(u)).
% 299.85/300.47  34210[0:SpL:123.0,3760.0] || member(u,segment(v,w,x))* subclass(rest_of(restrict(v,w,singleton(x))),y)* well_ordering(z,y)* -> member(least(z,rest_of(restrict(v,w,singleton(x)))),rest_of(restrict(v,w,singleton(x))))*.
% 299.85/300.47  183501[5:Res:3564.3,5490.0] || connected(u,v) well_ordering(w,v) subclass(not_well_ordering(u,v),x)* well_ordering(omega,x) -> well_ordering(u,v) equal(integer_of(ordered_pair(least(w,not_well_ordering(u,v)),least(omega,not_well_ordering(u,v)))),identity_relation)**.
% 299.85/300.47  37808[5:SpL:5243.2,3925.1] || member(u,universal_class) member(singleton(u),domain_of(v))* equal(least(rest_of(v),w),identity_relation)** member(singleton(u),w)* subclass(w,x)* well_ordering(rest_of(v),x)* -> member(u,domain_of(v)).
% 299.85/300.47  37487[0:Rew:931.0,37415.4] || member(u,symmetrization_of(v)) member(u,complement(intersection(v,inverse(v))))* subclass(symmetric_difference(v,inverse(v)),w)* well_ordering(x,w)* -> member(least(x,symmetric_difference(v,inverse(v))),symmetric_difference(v,inverse(v)))*.
% 299.85/300.47  37486[0:Rew:932.0,37416.4] || member(u,successor(v)) member(u,complement(intersection(v,singleton(v))))* subclass(symmetric_difference(v,singleton(v)),w)* well_ordering(x,w)* -> member(least(x,symmetric_difference(v,singleton(v))),symmetric_difference(v,singleton(v)))*.
% 299.85/300.47  40034[5:Res:5476.3,29469.0] || transitive(u,v) well_ordering(w,restrict(u,v,v)) -> equal(compose(restrict(u,v,v),restrict(u,v,v)),identity_relation) member(least(w,compose(restrict(u,v,v),restrict(u,v,v))),universal_class)*.
% 299.85/300.47  30642[5:Rew:29.0,30609.2,29.0,30609.1,29.0,30609.0] || member(restrict(u,v,w),universal_class) -> equal(restrict(u,v,w),identity_relation) equal(ordered_pair(first(apply(choice,restrict(u,v,w))),second(apply(choice,restrict(u,v,w)))),apply(choice,restrict(u,v,w)))**.
% 299.85/300.47  37970[5:SpL:5337.2,94.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),compose_class(w)) -> equal(cross_product(u,v),identity_relation) equal(compose(w,first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.47  27637[5:Res:5329.3,60.0] || member(u,universal_class) subclass(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,apply(choice,u)),cross_product(universal_class,universal_class)) -> equal(u,identity_relation) member(ordered_pair(x,apply(choice,u)),compose(v,w))*.
% 299.85/300.47  27216[5:Res:59.1,5377.1] || member(ordered_pair(u,apply(choice,complement(image(v,image(w,singleton(u)))))),compose(v,w))* member(complement(image(v,image(w,singleton(u)))),universal_class) -> equal(complement(image(v,image(w,singleton(u)))),identity_relation).
% 299.85/300.47  27470[0:Res:827.3,60.0] function(u) || member(v,universal_class) subclass(universal_class,image(w,image(x,singleton(y)))) member(ordered_pair(y,image(u,v)),cross_product(universal_class,universal_class)) -> member(ordered_pair(y,image(u,v)),compose(w,x))*.
% 299.85/300.47  39785[5:MRR:39784.0,15.1] || member(ordered_pair(u,not_subclass_element(image(v,range_of(identity_relation)),w)),cross_product(universal_class,universal_class)) -> member(u,domain_of(x)) subclass(image(v,range_of(identity_relation)),w) member(ordered_pair(u,not_subclass_element(image(v,range_of(identity_relation)),w)),compose(v,x))*.
% 299.85/300.47  36975[5:SoR:1986.0,8479.2] single_valued_class(restrict(u,v,singleton(w))) || subclass(range_of(restrict(u,v,singleton(w))),x) equal(restrict(u,v,singleton(w)),identity_relation) -> maps(restrict(u,v,singleton(w)),segment(u,v,w),x)*.
% 299.85/300.47  192774[17:MRR:192759.4,5188.0] || member(cross_product(u,v),universal_class) member(first(apply(choice,cross_product(u,v))),domain_of(w)) member(ordered_pair(w,apply(choice,cross_product(u,v))),cross_product(universal_class,cross_product(universal_class,universal_class)))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.47  198444[5:Res:5426.2,5490.0] || well_ordering(u,cross_product(universal_class,universal_class)) subclass(compose(v,w),x)* well_ordering(omega,x) -> equal(compose(v,w),identity_relation) equal(integer_of(ordered_pair(least(u,compose(v,w)),least(omega,compose(v,w)))),identity_relation)**.
% 299.85/300.47  203581[15:Rew:191663.0,203557.3] || member(ordered_pair(sum_class(range_of(identity_relation)),u),compose(v,w))* subclass(image(v,image(w,identity_relation)),x)* well_ordering(y,x)* -> member(least(y,image(v,image(w,identity_relation))),image(v,image(w,identity_relation)))*.
% 299.85/300.47  210064[17:Rew:209320.1,209899.4] function(u) || member(ordered_pair(u,ordered_pair(v,least(image(w,image(x,identity_relation)),y))),compose(w,x))* member(v,y) subclass(y,z)* well_ordering(image(w,image(x,identity_relation)),z)* -> .
% 299.85/300.47  210065[17:Rew:209320.1,209783.2,209320.1,209783.1] function(u) || member(ordered_pair(u,regular(image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(u,regular(image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.47  235660[0:Res:20387.1,18.0] || subclass(rest_relation,rotate(cross_product(u,v)))* -> equal(ordered_pair(first(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x)),second(ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x))),ordered_pair(ordered_pair(w,rest_of(ordered_pair(x,w))),x))**.
% 299.85/300.47  235776[0:Res:20388.1,18.0] || subclass(rest_relation,flip(cross_product(u,v)))* -> equal(ordered_pair(first(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w)))),second(ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))))),ordered_pair(ordered_pair(w,x),rest_of(ordered_pair(x,w))))**.
% 299.85/300.47  236464[0:Res:2603.2,8214.0] || member(not_subclass_element(intersection(u,complement(restrict(v,w,x))),y),cross_product(w,x))* member(not_subclass_element(intersection(u,complement(restrict(v,w,x))),y),v)* -> subclass(intersection(u,complement(restrict(v,w,x))),y).
% 299.85/300.47  236849[0:Res:2603.2,8308.0] || member(not_subclass_element(intersection(complement(restrict(u,v,w)),x),y),cross_product(v,w))* member(not_subclass_element(intersection(complement(restrict(u,v,w)),x),y),u)* -> subclass(intersection(complement(restrict(u,v,w)),x),y).
% 299.85/300.47  240370[5:Res:5604.2,60.0] || subclass(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,regular(intersection(u,y))),cross_product(universal_class,universal_class)) -> equal(intersection(u,y),identity_relation) member(ordered_pair(x,regular(intersection(u,y))),compose(v,w))*.
% 299.85/300.47  240963[5:Res:5579.2,60.0] || subclass(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,regular(intersection(y,u))),cross_product(universal_class,universal_class)) -> equal(intersection(y,u),identity_relation) member(ordered_pair(x,regular(intersection(y,u))),compose(v,w))*.
% 299.85/300.47  242179[5:Rew:242089.0,242149.1,242089.0,242149.0] || member(ordered_pair(u,not_subclass_element(image(v,range_of(identity_relation)),w)),cross_product(universal_class,universal_class)) -> subclass(image(v,range_of(identity_relation)),w) member(ordered_pair(u,not_subclass_element(image(v,range_of(identity_relation)),w)),compose(v,complement(cross_product(singleton(u),universal_class))))*.
% 299.85/300.47  242596[5:Rew:9097.0,242541.2] || section(cross_product(u,singleton(v)),w,x) well_ordering(y,w) -> equal(segment(cross_product(x,w),u,v),identity_relation) member(least(y,segment(cross_product(x,w),u,v)),segment(cross_product(x,w),u,v))*.
% 299.85/300.47  249224[0:Rew:249197.0,246775.3] || member(u,v) subclass(v,w)* well_ordering(union(x,image(element_relation,power_class(y))),w)* -> member(ordered_pair(u,least(union(x,image(element_relation,power_class(y))),v)),intersection(complement(x),power_class(complement(power_class(y)))))*.
% 299.85/300.47  249228[0:Rew:249197.0,246346.3] || member(u,v) subclass(v,w)* well_ordering(union(image(element_relation,power_class(x)),y),w)* -> member(ordered_pair(u,least(union(image(element_relation,power_class(x)),y),v)),intersection(power_class(complement(power_class(x))),complement(y)))*.
% 299.85/300.47  254706[5:Res:249285.1,29630.0] || member(apply(choice,regular(image(element_relation,power_class(u)))),universal_class) -> member(apply(choice,regular(image(element_relation,power_class(u)))),power_class(complement(power_class(u))))* equal(regular(image(element_relation,power_class(u))),identity_relation) equal(image(element_relation,power_class(u)),identity_relation).
% 299.85/300.47  256870[5:Res:5330.2,251410.0] || member(intersection(u,intersection(power_class(v),complement(w))),universal_class) member(apply(choice,intersection(u,intersection(power_class(v),complement(w)))),union(complement(power_class(v)),w))* -> equal(intersection(u,intersection(power_class(v),complement(w))),identity_relation).
% 299.85/300.47  256850[5:Res:5331.2,251410.0] || member(intersection(intersection(power_class(u),complement(v)),w),universal_class) member(apply(choice,intersection(intersection(power_class(u),complement(v)),w)),union(complement(power_class(u)),v))* -> equal(intersection(intersection(power_class(u),complement(v)),w),identity_relation).
% 299.85/300.47  257062[5:Res:5330.2,251419.0] || member(intersection(u,intersection(complement(v),power_class(w))),universal_class) member(apply(choice,intersection(u,intersection(complement(v),power_class(w)))),union(v,complement(power_class(w))))* -> equal(intersection(u,intersection(complement(v),power_class(w))),identity_relation).
% 299.85/300.47  257042[5:Res:5331.2,251419.0] || member(intersection(intersection(complement(u),power_class(v)),w),universal_class) member(apply(choice,intersection(intersection(complement(u),power_class(v)),w)),union(u,complement(power_class(v))))* -> equal(intersection(intersection(complement(u),power_class(v)),w),identity_relation).
% 299.85/300.47  258387[5:Res:8057.3,60.0] || well_ordering(u,universal_class) subclass(v,image(w,image(x,singleton(y)))) member(ordered_pair(y,least(u,v)),cross_product(universal_class,universal_class)) -> equal(v,identity_relation) member(ordered_pair(y,least(u,v)),compose(w,x))*.
% 299.85/300.47  260129[0:Res:119.1,8430.0] || transitive(u,v) subclass(restrict(u,v,v),w) -> subclass(compose(restrict(u,v,v),restrict(u,v,v)),x) member(not_subclass_element(compose(restrict(u,v,v),restrict(u,v,v)),x),w)*.
% 299.85/300.47  260908[0:Res:8216.1,1043.0] ||  -> subclass(intersection(u,intersection(v,ordered_pair(w,x))),y) equal(not_subclass_element(intersection(u,intersection(v,ordered_pair(w,x))),y),unordered_pair(w,singleton(x)))** equal(not_subclass_element(intersection(u,intersection(v,ordered_pair(w,x))),y),singleton(w)).
% 299.85/300.47  260899[0:Res:8216.1,20569.2] || member(not_subclass_element(intersection(u,intersection(v,union(w,x))),y),complement(x))* member(not_subclass_element(intersection(u,intersection(v,union(w,x))),y),complement(w))* -> subclass(intersection(u,intersection(v,union(w,x))),y).
% 299.85/300.47  261478[0:Res:8215.1,1043.0] ||  -> subclass(intersection(u,intersection(ordered_pair(v,w),x)),y) equal(not_subclass_element(intersection(u,intersection(ordered_pair(v,w),x)),y),unordered_pair(v,singleton(w)))** equal(not_subclass_element(intersection(u,intersection(ordered_pair(v,w),x)),y),singleton(v)).
% 299.85/300.47  261469[0:Res:8215.1,20569.2] || member(not_subclass_element(intersection(u,intersection(union(v,w),x)),y),complement(w))* member(not_subclass_element(intersection(u,intersection(union(v,w),x)),y),complement(v))* -> subclass(intersection(u,intersection(union(v,w),x)),y).
% 299.85/300.47  262382[0:Res:8310.1,1043.0] ||  -> subclass(intersection(intersection(u,ordered_pair(v,w)),x),y) equal(not_subclass_element(intersection(intersection(u,ordered_pair(v,w)),x),y),unordered_pair(v,singleton(w)))** equal(not_subclass_element(intersection(intersection(u,ordered_pair(v,w)),x),y),singleton(v)).
% 299.85/300.47  262373[0:Res:8310.1,20569.2] || member(not_subclass_element(intersection(intersection(u,union(v,w)),x),y),complement(w))* member(not_subclass_element(intersection(intersection(u,union(v,w)),x),y),complement(v))* -> subclass(intersection(intersection(u,union(v,w)),x),y).
% 299.85/300.47  263073[0:Res:8309.1,1043.0] ||  -> subclass(intersection(intersection(ordered_pair(u,v),w),x),y) equal(not_subclass_element(intersection(intersection(ordered_pair(u,v),w),x),y),unordered_pair(u,singleton(v)))** equal(not_subclass_element(intersection(intersection(ordered_pair(u,v),w),x),y),singleton(u)).
% 299.85/300.47  263064[0:Res:8309.1,20569.2] || member(not_subclass_element(intersection(intersection(union(u,v),w),x),y),complement(v))* member(not_subclass_element(intersection(intersection(union(u,v),w),x),y),complement(u))* -> subclass(intersection(intersection(union(u,v),w),x),y).
% 299.85/300.47  263593[5:Res:9102.1,5318.0] || section(cross_product(u,v),restrict(w,x,y),z) -> equal(domain_of(restrict(cross_product(z,restrict(w,x,y)),u,v)),identity_relation) member(regular(domain_of(restrict(cross_product(z,restrict(w,x,y)),u,v))),w)*.
% 299.85/300.48  265535[21:Res:28995.3,243787.1] function(complement(compose(complement(element_relation),inverse(element_relation)))) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,complement(compose(complement(element_relation),inverse(element_relation)))),cross_product(universal_class,universal_class))* -> equal(complement(compose(complement(element_relation),inverse(element_relation))),identity_relation).
% 299.85/300.48  265522[5:Res:28995.3,756.0] function(cantor(restrict(u,v,singleton(w)))) || member(cross_product(universal_class,universal_class),universal_class) -> equal(cantor(restrict(u,v,singleton(w))),identity_relation) member(least(element_relation,cantor(restrict(u,v,singleton(w)))),segment(u,v,w))*.
% 299.85/300.48  265507[5:Res:28995.3,18.0] function(cross_product(u,v)) || member(cross_product(universal_class,universal_class),universal_class) -> equal(cross_product(u,v),identity_relation) equal(ordered_pair(first(least(element_relation,cross_product(u,v))),second(least(element_relation,cross_product(u,v)))),least(element_relation,cross_product(u,v)))**.
% 299.85/300.48  265497[5:Res:28995.3,3336.0] function(u) || member(cross_product(universal_class,universal_class),universal_class) member(v,w)* -> equal(u,identity_relation) equal(ordered_pair(first(ordered_pair(v,least(element_relation,u))),second(ordered_pair(v,least(element_relation,u)))),ordered_pair(v,least(element_relation,u)))**.
% 299.85/300.48  266900[5:SpL:5337.2,34161.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class)) subclass(composition_function,rest_of(w)) -> equal(cross_product(u,v),identity_relation) member(first(apply(choice,cross_product(u,v))),domain_of(w))*.
% 299.85/300.48  268209[5:SpL:5337.2,34162.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class))* subclass(composition_function,cross_product(w,x))* -> equal(cross_product(u,v),identity_relation) member(first(apply(choice,cross_product(u,v))),w)*.
% 299.85/300.48  270312[0:Rew:251233.0,270222.2,251233.0,270222.1] || member(not_subclass_element(u,symmetric_difference(power_class(v),complement(w))),union(power_class(v),complement(w))) member(not_subclass_element(u,symmetric_difference(power_class(v),complement(w))),union(complement(power_class(v)),w))* -> subclass(u,symmetric_difference(power_class(v),complement(w))).
% 299.85/300.48  270678[5:SpL:251244.0,5336.0] || member(regular(union(u,intersection(union(complement(power_class(v)),w),complement(x)))),intersection(complement(u),union(intersection(power_class(v),complement(w)),x)))* -> equal(union(u,intersection(union(complement(power_class(v)),w),complement(x))),identity_relation).
% 299.85/300.48  270632[5:SpL:251244.0,5336.0] || member(regular(union(intersection(union(complement(power_class(u)),v),complement(w)),x)),intersection(union(intersection(power_class(u),complement(v)),w),complement(x)))* -> equal(union(intersection(union(complement(power_class(u)),v),complement(w)),x),identity_relation).
% 299.85/300.48  30791[0:SpL:939.0,2599.1] || member(u,union(complement(restrict(v,w,x)),union(cross_product(w,x),v))) member(u,complement(symmetric_difference(cross_product(w,x),v))) -> member(u,symmetric_difference(complement(restrict(v,w,x)),union(cross_product(w,x),v)))*.
% 299.85/300.48  30790[0:SpL:938.0,2599.1] || member(u,union(complement(restrict(v,w,x)),union(v,cross_product(w,x)))) member(u,complement(symmetric_difference(v,cross_product(w,x)))) -> member(u,symmetric_difference(complement(restrict(v,w,x)),union(v,cross_product(w,x))))*.
% 299.85/300.48  34159[0:Res:3654.2,1043.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,ordered_pair(w,x))* -> equal(ordered_pair(u,ordered_pair(v,compose(u,v))),unordered_pair(w,singleton(x)))* equal(ordered_pair(u,ordered_pair(v,compose(u,v))),singleton(w)).
% 299.85/300.48  36401[0:Rew:2089.1,36386.3] || member(first(not_subclass_element(cross_product(u,v),w)),second(not_subclass_element(cross_product(u,v),w)))* member(not_subclass_element(cross_product(u,v),w),cross_product(universal_class,universal_class)) -> subclass(cross_product(u,v),w) member(not_subclass_element(cross_product(u,v),w),element_relation).
% 299.85/300.48  34016[5:SpR:5338.1,144.2] || member(first(regular(cross_product(u,v))),domain_of(w)) equal(restrict(w,first(regular(cross_product(u,v))),universal_class),second(regular(cross_product(u,v))))** -> equal(cross_product(u,v),identity_relation) member(regular(cross_product(u,v)),rest_of(w)).
% 299.85/300.48  37805[0:SpL:598.0,3925.1] || member(u,domain_of(cross_product(v,w))) equal(restrict(cross_product(u,universal_class),v,w),least(rest_of(cross_product(v,w)),x))* member(u,x)* subclass(x,y)* well_ordering(rest_of(cross_product(v,w)),y)* -> .
% 299.85/300.48  36782[0:Res:26.2,3926.0] || member(least(cross_product(u,complement(v)),w),universal_class)* member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,complement(v)),y)* -> member(least(cross_product(u,complement(v)),w),v)*.
% 299.85/300.48  37541[0:Res:4107.3,126.0] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x)* subclass(flip(x),y)* well_ordering(z,y)* -> member(least(z,flip(x)),flip(x))*.
% 299.85/300.48  37645[0:Res:4116.3,126.0] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x)* subclass(rotate(x),y)* well_ordering(z,y)* -> member(least(z,rotate(x)),rotate(x))*.
% 299.85/300.48  39057[0:MRR:39013.0,641.0] || member(ordered_pair(u,least(intersection(v,complement(w)),x)),v)* member(u,x) subclass(x,y)* well_ordering(intersection(v,complement(w)),y)* -> member(ordered_pair(u,least(intersection(v,complement(w)),x)),w)*.
% 299.85/300.48  36801[5:Res:5424.3,3926.0] || member(u,universal_class) well_ordering(cross_product(v,sum_class(u)),u)* member(w,v)* member(w,sum_class(u))* subclass(sum_class(u),x) well_ordering(cross_product(v,sum_class(u)),x)* -> equal(sum_class(u),identity_relation).
% 299.85/300.48  120734[5:Rew:119609.0,120693.2,119609.0,120693.1] || transitive(universal_class,u) well_ordering(v,cross_product(u,u)) -> equal(compose(cross_product(u,u),cross_product(u,u)),identity_relation) member(least(v,compose(cross_product(u,u),cross_product(u,u))),compose(cross_product(u,u),cross_product(u,u)))*.
% 299.85/300.48  34419[5:Res:5420.2,3336.0] || well_ordering(u,cross_product(universal_class,universal_class)) member(v,w)* -> equal(compose_class(x),identity_relation) equal(ordered_pair(first(ordered_pair(v,least(u,compose_class(x)))),second(ordered_pair(v,least(u,compose_class(x))))),ordered_pair(v,least(u,compose_class(x))))**.
% 299.85/300.48  34420[5:Res:5419.2,3336.0] || well_ordering(u,cross_product(universal_class,universal_class)) member(v,w)* -> equal(rest_of(x),identity_relation) equal(ordered_pair(first(ordered_pair(v,least(u,rest_of(x)))),second(ordered_pair(v,least(u,rest_of(x))))),ordered_pair(v,least(u,rest_of(x))))**.
% 299.85/300.48  37994[5:SpL:5337.2,97.0] || member(cross_product(u,v),universal_class) member(ordered_pair(w,apply(choice,cross_product(u,v))),composition_function)* -> equal(cross_product(u,v),identity_relation) equal(compose(w,first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v)))).
% 299.85/300.48  37966[5:SpL:5337.2,143.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),rest_of(w)) -> equal(cross_product(u,v),identity_relation) equal(restrict(w,first(apply(choice,cross_product(u,v))),universal_class),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.48  35236[5:Rew:930.0,35053.1,930.0,35053.0] || member(symmetric_difference(complement(intersection(u,v)),union(u,v)),universal_class) -> equal(symmetric_difference(complement(intersection(u,v)),union(u,v)),identity_relation) member(apply(choice,symmetric_difference(complement(intersection(u,v)),union(u,v))),complement(symmetric_difference(u,v)))*.
% 299.85/300.48  39679[0:Res:49.1,3719.1] inductive(image(u,singleton(v))) || member(ordered_pair(v,w),compose(successor_relation,u))* well_ordering(x,image(u,singleton(v))) -> member(least(x,image(successor_relation,image(u,singleton(v)))),image(successor_relation,image(u,singleton(v))))*.
% 299.85/300.48  39677[0:Res:7.1,3719.1] || equal(u,image(v,image(w,singleton(x))))* member(ordered_pair(x,y),compose(v,w))* well_ordering(z,u)* -> member(least(z,image(v,image(w,singleton(x)))),image(v,image(w,singleton(x))))*.
% 299.85/300.48  198738[5:Res:5427.3,5490.0] inductive(u) || well_ordering(v,u) subclass(image(successor_relation,u),w)* well_ordering(omega,w) -> equal(image(successor_relation,u),identity_relation) equal(integer_of(ordered_pair(least(v,image(successor_relation,u)),least(omega,image(successor_relation,u)))),identity_relation)**.
% 299.85/300.48  202842[15:Rew:191663.0,202821.1,191663.0,202821.0] || member(ordered_pair(sum_class(range_of(identity_relation)),regular(image(u,image(v,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(u,image(v,identity_relation)),identity_relation) member(ordered_pair(sum_class(range_of(identity_relation)),regular(image(u,image(v,identity_relation)))),compose(u,v))*.
% 299.85/300.48  203411[5:SpR:5475.2,160697.0] || transitive(u,v) well_ordering(universal_class,restrict(u,v,v)) -> subclass(cantor(cross_product(compose(restrict(u,v,v),restrict(u,v,v)),singleton(least(universal_class,compose(restrict(u,v,v),restrict(u,v,v)))))),identity_relation)*.
% 299.85/300.48  203791[15:Rew:191728.0,203772.1,191728.0,203772.0] || member(ordered_pair(range_of(identity_relation),not_subclass_element(image(u,image(v,identity_relation)),w)),cross_product(universal_class,universal_class)) -> subclass(image(u,image(v,identity_relation)),w) member(ordered_pair(range_of(identity_relation),not_subclass_element(image(u,image(v,identity_relation)),w)),compose(u,v))*.
% 299.85/300.48  210066[17:Rew:209320.1,209896.4] function(u) || member(ordered_pair(u,v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* well_ordering(z,y)* -> member(least(z,image(w,image(x,identity_relation))),image(w,image(x,identity_relation)))*.
% 299.85/300.48  210393[15:SoR:209003.0,4792.2] single_valued_class(restrict(u,v,universal_class)) || subclass(image(u,v),domain_of(domain_of(w))) equal(domain_of(domain_of(x)),universal_class) equal(restrict(u,v,universal_class),cross_product(universal_class,universal_class)) -> compatible(restrict(u,v,universal_class),x,w)*.
% 299.85/300.48  210566[17:Rew:210378.1,210511.4] one_to_one(u) || member(ordered_pair(inverse(u),ordered_pair(v,least(image(w,image(x,identity_relation)),y))),compose(w,x))* member(v,y) subclass(y,z)* well_ordering(image(w,image(x,identity_relation)),z)* -> .
% 299.85/300.48  217466[5:SpR:5337.2,5544.1] || member(cross_product(u,v),universal_class) subclass(omega,element_relation) -> equal(cross_product(u,v),identity_relation) equal(integer_of(apply(choice,cross_product(u,v))),identity_relation) member(first(apply(choice,cross_product(u,v))),second(apply(choice,cross_product(u,v))))*.
% 299.85/300.48  218751[17:SpL:5337.2,192766.0] || member(cross_product(u,v),universal_class) member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class)) member(second(apply(choice,cross_product(u,v))),domain_of(first(apply(choice,cross_product(u,v)))))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.48  229241[5:SpL:8055.2,3925.1] || well_ordering(rest_of(u),universal_class) member(v,domain_of(u)) equal(restrict(u,v,universal_class),w)* member(v,singleton(w))* subclass(singleton(w),x)* well_ordering(rest_of(u),x)* -> equal(singleton(w),identity_relation).
% 299.85/300.48  232321[0:Res:601.1,2599.1] || member(not_subclass_element(restrict(complement(intersection(u,v)),w,x),y),union(u,v)) -> subclass(restrict(complement(intersection(u,v)),w,x),y) member(not_subclass_element(restrict(complement(intersection(u,v)),w,x),y),symmetric_difference(u,v))*.
% 299.85/300.48  235960[5:Res:5462.2,3926.0] || subclass(omega,symmetric_difference(u,v)) member(w,x)* member(w,y)* subclass(y,z)* well_ordering(cross_product(x,union(u,v)),z)* -> equal(integer_of(least(cross_product(x,union(u,v)),y)),identity_relation)**.
% 299.85/300.48  242422[5:Res:5330.2,756.0] || member(intersection(u,cantor(restrict(v,w,singleton(x)))),universal_class) -> equal(intersection(u,cantor(restrict(v,w,singleton(x)))),identity_relation) member(apply(choice,intersection(u,cantor(restrict(v,w,singleton(x))))),segment(v,w,x))*.
% 299.85/300.48  242403[5:Res:5331.2,756.0] || member(intersection(cantor(restrict(u,v,singleton(w))),x),universal_class) -> equal(intersection(cantor(restrict(u,v,singleton(w))),x),identity_relation) member(apply(choice,intersection(cantor(restrict(u,v,singleton(w))),x)),segment(u,v,w))*.
% 299.85/300.48  244654[21:Res:5330.2,243787.1] || member(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),universal_class) member(apply(choice,intersection(u,complement(compose(complement(element_relation),inverse(element_relation))))),cross_product(universal_class,universal_class))* -> equal(intersection(u,complement(compose(complement(element_relation),inverse(element_relation)))),identity_relation).
% 299.85/300.48  244634[21:Res:5331.2,243787.1] || member(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),universal_class) member(apply(choice,intersection(complement(compose(complement(element_relation),inverse(element_relation))),u)),cross_product(universal_class,universal_class))* -> equal(intersection(complement(compose(complement(element_relation),inverse(element_relation))),u),identity_relation).
% 299.85/300.48  247241[0:SpR:579.0,21037.0] ||  -> equal(intersection(successor(image(element_relation,union(u,v))),union(power_class(intersection(complement(u),complement(v))),complement(singleton(image(element_relation,union(u,v)))))),symmetric_difference(power_class(intersection(complement(u),complement(v))),complement(singleton(image(element_relation,union(u,v))))))**.
% 299.85/300.48  247335[0:Rew:21037.0,247282.2,21037.0,247282.1] || member(not_subclass_element(u,symmetric_difference(complement(v),complement(singleton(v)))),union(complement(v),complement(singleton(v))))* member(not_subclass_element(u,symmetric_difference(complement(v),complement(singleton(v)))),successor(v)) -> subclass(u,symmetric_difference(complement(v),complement(singleton(v)))).
% 299.85/300.48  248535[0:SpR:579.0,21036.0] ||  -> equal(intersection(symmetrization_of(image(element_relation,union(u,v))),union(power_class(intersection(complement(u),complement(v))),complement(inverse(image(element_relation,union(u,v)))))),symmetric_difference(power_class(intersection(complement(u),complement(v))),complement(inverse(image(element_relation,union(u,v))))))**.
% 299.85/300.48  248614[0:Rew:21036.0,248572.2,21036.0,248572.1] || member(not_subclass_element(u,symmetric_difference(complement(v),complement(inverse(v)))),union(complement(v),complement(inverse(v))))* member(not_subclass_element(u,symmetric_difference(complement(v),complement(inverse(v)))),symmetrization_of(v)) -> subclass(u,symmetric_difference(complement(v),complement(inverse(v)))).
% 299.85/300.48  251217[0:Rew:249197.0,249494.4,249197.0,249494.1] || member(u,universal_class) subclass(symmetrization_of(complement(power_class(v))),w)* well_ordering(x,w)* -> member(u,intersection(power_class(v),complement(inverse(complement(power_class(v))))))* member(least(x,symmetrization_of(complement(power_class(v)))),symmetrization_of(complement(power_class(v))))*.
% 299.85/300.48  251218[0:Rew:249197.0,249510.4,249197.0,249510.1] || member(u,universal_class) subclass(successor(complement(power_class(v))),w)* well_ordering(x,w)* -> member(u,intersection(power_class(v),complement(singleton(complement(power_class(v))))))* member(least(x,successor(complement(power_class(v)))),successor(complement(power_class(v))))*.
% 299.85/300.48  252937[0:Rew:249200.0,252838.4] || member(u,universal_class) subclass(union(v,complement(power_class(w))),x)* well_ordering(y,x)* -> member(u,intersection(complement(v),power_class(w)))* member(least(y,union(v,complement(power_class(w)))),union(v,complement(power_class(w))))*.
% 299.85/300.48  253269[0:Rew:249208.0,253171.4] || member(u,universal_class) subclass(union(complement(power_class(v)),w),x)* well_ordering(y,x)* -> member(u,intersection(power_class(v),complement(w)))* member(least(y,union(complement(power_class(v)),w)),union(complement(power_class(v)),w))*.
% 299.85/300.48  257222[0:Res:3654.2,20569.2] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,union(w,x))* member(ordered_pair(u,ordered_pair(v,compose(u,v))),complement(x))* member(ordered_pair(u,ordered_pair(v,compose(u,v))),complement(w))* -> .
% 299.85/300.48  261042[0:Rew:29.0,260890.1,29.0,260890.0] ||  -> subclass(intersection(u,restrict(v,w,x)),y) equal(ordered_pair(first(not_subclass_element(intersection(u,restrict(v,w,x)),y)),second(not_subclass_element(intersection(u,restrict(v,w,x)),y))),not_subclass_element(intersection(u,restrict(v,w,x)),y))**.
% 299.85/300.48  262517[0:Rew:29.0,262364.1,29.0,262364.0] ||  -> subclass(intersection(restrict(u,v,w),x),y) equal(ordered_pair(first(not_subclass_element(intersection(restrict(u,v,w),x),y)),second(not_subclass_element(intersection(restrict(u,v,w),x),y))),not_subclass_element(intersection(restrict(u,v,w),x),y))**.
% 299.85/300.48  263592[0:Res:9102.1,8435.0] || section(cross_product(u,v),restrict(w,x,y),z) -> subclass(domain_of(restrict(cross_product(z,restrict(w,x,y)),u,v)),x1) member(not_subclass_element(domain_of(restrict(cross_product(z,restrict(w,x,y)),u,v)),x1),w)*.
% 299.85/300.48  266809[3:Res:3564.3,123566.0] || connected(u,v) well_ordering(w,v) -> well_ordering(u,v) equal(ordered_pair(first(ordered_pair(least(w,not_well_ordering(u,v)),omega)),second(ordered_pair(least(w,not_well_ordering(u,v)),omega))),ordered_pair(least(w,not_well_ordering(u,v)),omega))**.
% 299.85/300.48  266802[5:Res:5426.2,123566.0] || well_ordering(u,cross_product(universal_class,universal_class)) -> equal(compose(v,w),identity_relation) equal(ordered_pair(first(ordered_pair(least(u,compose(v,w)),omega)),second(ordered_pair(least(u,compose(v,w)),omega))),ordered_pair(least(u,compose(v,w)),omega))**.
% 299.85/300.48  267736[0:Rew:2089.1,267711.2] || member(singleton(singleton(singleton(not_subclass_element(cross_product(u,v),w)))),composition_function) -> subclass(cross_product(u,v),w) equal(compose(singleton(not_subclass_element(cross_product(u,v),w)),first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))**.
% 299.85/300.48  268886[5:Res:30856.1,8098.0] || member(regular(intersection(u,regular(intersection(v,w)))),union(v,w)) -> member(regular(intersection(u,regular(intersection(v,w)))),symmetric_difference(v,w))* equal(intersection(u,regular(intersection(v,w))),identity_relation) equal(intersection(v,w),identity_relation).
% 299.85/300.48  269062[5:Res:30856.1,8091.0] || member(regular(intersection(regular(intersection(u,v)),w)),union(u,v)) -> member(regular(intersection(regular(intersection(u,v)),w)),symmetric_difference(u,v))* equal(intersection(regular(intersection(u,v)),w),identity_relation) equal(intersection(u,v),identity_relation).
% 299.85/300.48  270220[0:SpL:251233.0,2599.1] || member(u,union(union(complement(power_class(v)),w),union(power_class(v),complement(w)))) member(u,complement(symmetric_difference(power_class(v),complement(w)))) -> member(u,symmetric_difference(union(complement(power_class(v)),w),union(power_class(v),complement(w))))*.
% 299.85/300.48  35076[0:SpR:160.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(complement(intersection(u,v)),union(u,v))),union(complement(symmetric_difference(u,v)),union(complement(intersection(u,v)),union(u,v)))),symmetric_difference(complement(symmetric_difference(u,v)),union(complement(intersection(u,v)),union(u,v))))**.
% 299.85/300.48  34661[0:Res:24.2,2612.0] || member(not_subclass_element(u,intersection(v,intersection(w,x))),x)* member(not_subclass_element(u,intersection(v,intersection(w,x))),w)* member(not_subclass_element(u,intersection(v,intersection(w,x))),v)* -> subclass(u,intersection(v,intersection(w,x))).
% 299.85/300.48  36402[0:Rew:2089.1,36385.3] || equal(successor(first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w))) member(not_subclass_element(cross_product(u,v),w),cross_product(universal_class,universal_class))* -> subclass(cross_product(u,v),w) member(not_subclass_element(cross_product(u,v),w),successor_relation).
% 299.85/300.48  35259[5:SpL:5389.1,3757.1] || asymmetric(cross_product(u,v),universal_class) member(universal_class,domain_of(restrict(inverse(cross_product(u,v)),u,v)))* equal(identity_relation,w) subclass(rest_of(restrict(inverse(cross_product(u,v)),u,v)),x)* -> member(ordered_pair(universal_class,w),x)*.
% 299.85/300.48  37840[5:SpR:598.0,5432.3] || section(cross_product(u,v),w,x) well_ordering(y,w) -> equal(domain_of(restrict(cross_product(u,v),x,w)),identity_relation) member(least(y,domain_of(restrict(cross_product(x,w),u,v))),domain_of(restrict(cross_product(x,w),u,v)))*.
% 299.85/300.48  30724[5:Res:5331.2,1043.0] || member(intersection(ordered_pair(u,v),w),universal_class) -> equal(intersection(ordered_pair(u,v),w),identity_relation) equal(apply(choice,intersection(ordered_pair(u,v),w)),unordered_pair(u,singleton(v)))** equal(apply(choice,intersection(ordered_pair(u,v),w)),singleton(u)).
% 299.85/300.48  30618[5:Res:5330.2,1043.0] || member(intersection(u,ordered_pair(v,w)),universal_class) -> equal(intersection(u,ordered_pair(v,w)),identity_relation) equal(apply(choice,intersection(u,ordered_pair(v,w))),unordered_pair(v,singleton(w)))** equal(apply(choice,intersection(u,ordered_pair(v,w))),singleton(v)).
% 299.85/300.48  28257[5:Res:2603.2,5377.1] || member(apply(choice,complement(restrict(u,v,w))),cross_product(v,w))* member(apply(choice,complement(restrict(u,v,w))),u)* member(complement(restrict(u,v,w)),universal_class) -> equal(complement(restrict(u,v,w)),identity_relation).
% 299.85/300.48  39676[0:Res:63.1,3719.1] function(image(u,image(v,singleton(w)))) || member(ordered_pair(w,x),compose(u,v))* well_ordering(y,cross_product(universal_class,universal_class)) -> member(least(y,image(u,image(v,singleton(w)))),image(u,image(v,singleton(w))))*.
% 299.85/300.48  168549[12:MRR:168525.4,5188.0] || member(cross_product(u,v),universal_class) equal(sum_class(range_of(first(apply(choice,cross_product(u,v))))),second(apply(choice,cross_product(u,v)))) member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class))* -> equal(cross_product(u,v),identity_relation).
% 299.85/300.48  36976[0:SoR:1986.0,4792.2] single_valued_class(restrict(u,v,singleton(w))) || subclass(range_of(restrict(u,v,singleton(w))),x) equal(restrict(u,v,singleton(w)),cross_product(universal_class,universal_class)) -> maps(restrict(u,v,singleton(w)),segment(u,v,w),x)*.
% 299.85/300.48  202660[17:Rew:196425.0,202645.3] || member(ordered_pair(inverse(u),ordered_pair(v,least(image(w,image(x,identity_relation)),y))),compose(w,x))* member(v,y) subclass(y,z)* well_ordering(image(w,image(x,identity_relation)),z)* -> equal(range_of(u),identity_relation).
% 299.85/300.48  202661[12:Rew:192336.1,202642.4] || member(u,universal_class) member(ordered_pair(range_of(u),ordered_pair(v,least(image(w,image(x,identity_relation)),y))),compose(w,x))* member(v,y) subclass(y,z)* well_ordering(image(w,image(x,identity_relation)),z)* -> .
% 299.85/300.48  210067[17:Rew:209320.1,209784.2,209320.1,209784.1] function(u) || member(ordered_pair(u,not_subclass_element(image(v,image(w,identity_relation)),x)),cross_product(universal_class,universal_class)) -> subclass(image(v,image(w,identity_relation)),x) member(ordered_pair(u,not_subclass_element(image(v,image(w,identity_relation)),x)),compose(v,w))*.
% 299.85/300.48  210567[17:Rew:210378.1,210508.4] one_to_one(u) || member(ordered_pair(inverse(u),v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* well_ordering(z,y)* -> member(least(z,image(w,image(x,identity_relation))),image(w,image(x,identity_relation)))*.
% 299.85/300.48  210568[17:Rew:210378.1,210433.2,210378.1,210433.1] one_to_one(u) || member(ordered_pair(inverse(u),regular(image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(inverse(u),regular(image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  217831[5:Rew:122711.0,217754.4] || member(u,universal_class) subclass(union(v,symmetric_difference(universal_class,w)),x)* well_ordering(y,x)* -> member(u,intersection(complement(v),union(w,identity_relation)))* member(least(y,union(v,symmetric_difference(universal_class,w))),union(v,symmetric_difference(universal_class,w)))*.
% 299.85/300.48  218425[5:Rew:122708.0,218352.4] || member(u,universal_class) subclass(union(symmetric_difference(universal_class,v),w),x)* well_ordering(y,x)* -> member(u,intersection(union(v,identity_relation),complement(w)))* member(least(y,union(symmetric_difference(universal_class,v),w)),union(symmetric_difference(universal_class,v),w))*.
% 299.85/300.48  220157[17:SpL:209749.1,3928.0] function(least(image(u,image(v,singleton(w))),x)) || member(ordered_pair(w,singleton(singleton(identity_relation))),compose(u,v))* member(identity_relation,x)* subclass(x,y)* well_ordering(image(u,image(v,singleton(w))),y)* -> .
% 299.85/300.48  225214[5:SpR:5337.2,5541.1] || member(cross_product(u,v),universal_class) subclass(omega,domain_relation) -> equal(cross_product(u,v),identity_relation) equal(integer_of(apply(choice,cross_product(u,v))),identity_relation) equal(domain_of(first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.48  225347[5:SpR:5337.2,5542.1] || member(cross_product(u,v),universal_class) subclass(omega,rest_relation) -> equal(cross_product(u,v),identity_relation) equal(integer_of(apply(choice,cross_product(u,v))),identity_relation) equal(rest_of(first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.48  225518[5:SpR:5337.2,5543.1] || member(cross_product(u,v),universal_class) subclass(omega,successor_relation) -> equal(cross_product(u,v),identity_relation) equal(integer_of(apply(choice,cross_product(u,v))),identity_relation) equal(successor(first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.48  237335[5:Res:5580.1,2599.1] || member(regular(intersection(u,intersection(v,complement(intersection(w,x))))),union(w,x)) -> equal(intersection(u,intersection(v,complement(intersection(w,x)))),identity_relation) member(regular(intersection(u,intersection(v,complement(intersection(w,x))))),symmetric_difference(w,x))*.
% 299.85/300.48  237928[5:Res:5581.1,2599.1] || member(regular(intersection(u,intersection(complement(intersection(v,w)),x))),union(v,w)) -> equal(intersection(u,intersection(complement(intersection(v,w)),x)),identity_relation) member(regular(intersection(u,intersection(complement(intersection(v,w)),x))),symmetric_difference(v,w))*.
% 299.85/300.48  238724[5:Res:5605.1,2599.1] || member(regular(intersection(intersection(u,complement(intersection(v,w))),x)),union(v,w)) -> equal(intersection(intersection(u,complement(intersection(v,w))),x),identity_relation) member(regular(intersection(intersection(u,complement(intersection(v,w))),x)),symmetric_difference(v,w))*.
% 299.85/300.48  239518[5:Res:5606.1,2599.1] || member(regular(intersection(intersection(complement(intersection(u,v)),w),x)),union(u,v)) -> equal(intersection(intersection(complement(intersection(u,v)),w),x),identity_relation) member(regular(intersection(intersection(complement(intersection(u,v)),w),x)),symmetric_difference(u,v))*.
% 299.85/300.48  247226[5:SpR:122711.0,21037.0] ||  -> equal(intersection(successor(intersection(complement(u),union(v,identity_relation))),union(union(u,symmetric_difference(universal_class,v)),complement(singleton(intersection(complement(u),union(v,identity_relation)))))),symmetric_difference(union(u,symmetric_difference(universal_class,v)),complement(singleton(intersection(complement(u),union(v,identity_relation))))))**.
% 299.85/300.48  247224[5:SpR:122708.0,21037.0] ||  -> equal(intersection(successor(intersection(union(u,identity_relation),complement(v))),union(union(symmetric_difference(universal_class,u),v),complement(singleton(intersection(union(u,identity_relation),complement(v)))))),symmetric_difference(union(symmetric_difference(universal_class,u),v),complement(singleton(intersection(union(u,identity_relation),complement(v))))))**.
% 299.85/300.48  248520[5:SpR:122711.0,21036.0] ||  -> equal(intersection(symmetrization_of(intersection(complement(u),union(v,identity_relation))),union(union(u,symmetric_difference(universal_class,v)),complement(inverse(intersection(complement(u),union(v,identity_relation)))))),symmetric_difference(union(u,symmetric_difference(universal_class,v)),complement(inverse(intersection(complement(u),union(v,identity_relation))))))**.
% 299.85/300.48  248518[5:SpR:122708.0,21036.0] ||  -> equal(intersection(symmetrization_of(intersection(union(u,identity_relation),complement(v))),union(union(symmetric_difference(universal_class,u),v),complement(inverse(intersection(union(u,identity_relation),complement(v)))))),symmetric_difference(union(symmetric_difference(universal_class,u),v),complement(inverse(intersection(union(u,identity_relation),complement(v))))))**.
% 299.85/300.48  250063[0:Rew:249197.0,245034.0] ||  -> equal(intersection(complement(symmetric_difference(power_class(u),complement(inverse(complement(power_class(u)))))),union(symmetrization_of(complement(power_class(u))),union(power_class(u),complement(inverse(complement(power_class(u))))))),symmetric_difference(symmetrization_of(complement(power_class(u))),union(power_class(u),complement(inverse(complement(power_class(u)))))))**.
% 299.85/300.48  250188[0:Rew:249197.0,245448.0] ||  -> equal(intersection(complement(symmetric_difference(power_class(u),complement(singleton(complement(power_class(u)))))),union(successor(complement(power_class(u))),union(power_class(u),complement(singleton(complement(power_class(u))))))),symmetric_difference(successor(complement(power_class(u))),union(power_class(u),complement(singleton(complement(power_class(u)))))))**.
% 299.85/300.48  257218[5:Res:5330.2,20569.2] || member(intersection(u,union(v,w)),universal_class) member(apply(choice,intersection(u,union(v,w))),complement(w))* member(apply(choice,intersection(u,union(v,w))),complement(v))* -> equal(intersection(u,union(v,w)),identity_relation).
% 299.85/300.48  257197[5:Res:5331.2,20569.2] || member(intersection(union(u,v),w),universal_class) member(apply(choice,intersection(union(u,v),w)),complement(v))* member(apply(choice,intersection(union(u,v),w)),complement(u))* -> equal(intersection(union(u,v),w),identity_relation).
% 299.85/300.48  258044[5:Res:8059.2,2599.1] || well_ordering(u,universal_class) member(least(u,intersection(complement(intersection(v,w)),x)),union(v,w)) -> equal(intersection(complement(intersection(v,w)),x),identity_relation) member(least(u,intersection(complement(intersection(v,w)),x)),symmetric_difference(v,w))*.
% 299.85/300.48  258238[5:Res:8060.2,2599.1] || well_ordering(u,universal_class) member(least(u,intersection(v,complement(intersection(w,x)))),union(w,x)) -> equal(intersection(v,complement(intersection(w,x))),identity_relation) member(least(u,intersection(v,complement(intersection(w,x)))),symmetric_difference(w,x))*.
% 299.85/300.48  259141[5:Res:256424.0,60.0] || member(ordered_pair(u,complement(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class)) -> equal(singleton(complement(image(v,image(w,singleton(u))))),identity_relation) member(ordered_pair(u,complement(image(v,image(w,singleton(u))))),compose(v,w))*.
% 299.85/300.48  259368[0:Res:30856.1,128.3] || member(ordered_pair(u,least(intersection(v,w),x)),union(v,w)) member(u,x) subclass(x,y)* well_ordering(intersection(v,w),y)* -> member(ordered_pair(u,least(intersection(v,w),x)),symmetric_difference(v,w))*.
% 299.85/300.48  260342[0:Res:8213.2,60.0] || subclass(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,not_subclass_element(intersection(y,u),z)),cross_product(universal_class,universal_class)) -> subclass(intersection(y,u),z) member(ordered_pair(x,not_subclass_element(intersection(y,u),z)),compose(v,w))*.
% 299.85/300.48  261986[0:Res:8307.2,60.0] || subclass(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,not_subclass_element(intersection(u,y),z)),cross_product(universal_class,universal_class)) -> subclass(intersection(u,y),z) member(ordered_pair(x,not_subclass_element(intersection(u,y),z)),compose(v,w))*.
% 299.85/300.48  263591[5:Res:9102.1,8397.0] || section(cross_product(u,v),restrict(w,x,y),z) -> equal(domain_of(restrict(cross_product(z,restrict(w,x,y)),u,v)),identity_relation) member(regular(domain_of(restrict(cross_product(z,restrict(w,x,y)),u,v))),cross_product(x,y))*.
% 299.85/300.48  263581[5:Res:9102.1,5215.0] || section(cross_product(u,v),w,x) well_ordering(y,w) -> equal(domain_of(restrict(cross_product(x,w),u,v)),identity_relation) member(least(y,domain_of(restrict(cross_product(x,w),u,v))),domain_of(restrict(cross_product(x,w),u,v)))*.
% 299.85/300.48  263580[3:Res:9102.1,3692.1] inductive(domain_of(restrict(cross_product(u,v),w,x))) || section(cross_product(w,x),v,u) well_ordering(y,v) -> member(least(y,domain_of(restrict(cross_product(u,v),w,x))),domain_of(restrict(cross_product(u,v),w,x)))*.
% 299.85/300.48  266808[5:Res:5427.3,123566.0] inductive(u) || well_ordering(v,u) -> equal(image(successor_relation,u),identity_relation) equal(ordered_pair(first(ordered_pair(least(v,image(successor_relation,u)),omega)),second(ordered_pair(least(v,image(successor_relation,u)),omega))),ordered_pair(least(v,image(successor_relation,u)),omega))**.
% 299.85/300.48  269627[5:Res:28995.3,7532.1] function(power_class(intersection(complement(u),complement(v)))) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,power_class(intersection(complement(u),complement(v)))),image(element_relation,union(u,v)))* -> equal(power_class(intersection(complement(u),complement(v))),identity_relation).
% 299.85/300.48  34141[0:Res:3654.2,2599.1] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,complement(intersection(w,x))) member(ordered_pair(u,ordered_pair(v,compose(u,v))),union(w,x)) -> member(ordered_pair(u,ordered_pair(v,compose(u,v))),symmetric_difference(w,x))*.
% 299.85/300.48  36397[0:SpL:2089.1,1043.0] || member(u,not_subclass_element(cross_product(v,w),x))* -> subclass(cross_product(v,w),x) equal(u,unordered_pair(first(not_subclass_element(cross_product(v,w),x)),singleton(second(not_subclass_element(cross_product(v,w),x)))))* equal(u,singleton(first(not_subclass_element(cross_product(v,w),x)))).
% 299.85/300.48  39019[0:Res:608.1,3920.0] || member(ordered_pair(u,least(intersection(v,domain_of(w)),x)),cantor(w))* member(ordered_pair(u,least(intersection(v,domain_of(w)),x)),v)* member(u,x) subclass(x,y)* well_ordering(intersection(v,domain_of(w)),y)* -> .
% 299.85/300.48  125969[5:Res:5288.2,3920.0] || subclass(omega,u) member(ordered_pair(v,least(intersection(w,u),x)),w)* member(v,x) subclass(x,y)* well_ordering(intersection(w,u),y)* -> equal(integer_of(ordered_pair(v,least(intersection(w,u),x))),identity_relation).
% 299.85/300.48  37804[5:SpL:5248.1,3925.1] || asymmetric(u,universal_class) member(universal_class,domain_of(intersection(u,inverse(u)))) equal(least(rest_of(intersection(u,inverse(u))),v),identity_relation)** member(universal_class,v) subclass(v,w)* well_ordering(rest_of(intersection(u,inverse(u))),w)* -> .
% 299.85/300.48  34427[5:Res:5424.3,3336.0] || member(u,universal_class) well_ordering(v,u) member(w,x)* -> equal(sum_class(u),identity_relation) equal(ordered_pair(first(ordered_pair(w,least(v,sum_class(u)))),second(ordered_pair(w,least(v,sum_class(u))))),ordered_pair(w,least(v,sum_class(u))))**.
% 299.85/300.48  37952[5:SpR:5337.2,17.2] || member(cross_product(u,v),universal_class) member(second(apply(choice,cross_product(u,v))),w) member(first(apply(choice,cross_product(u,v))),x) -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),cross_product(x,w))*.
% 299.85/300.48  37490[5:MRR:37489.0,29469.1] || member(u,complement(intersection(singleton(identity_relation),image(successor_relation,universal_class))))* subclass(symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)),v)* well_ordering(w,v)* -> member(least(w,symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class))),symmetric_difference(singleton(identity_relation),image(successor_relation,universal_class)))*.
% 299.85/300.48  125935[5:Res:5288.2,3928.0] || subclass(omega,compose(u,v)) member(w,x) subclass(x,y)* well_ordering(image(u,image(v,singleton(z))),y)* -> equal(integer_of(ordered_pair(z,ordered_pair(w,least(image(u,image(v,singleton(z))),x)))),identity_relation)**.
% 299.85/300.48  94604[0:Res:45819.1,3719.1] || subclass(image(u,image(v,singleton(w))),cantor(x))* member(ordered_pair(w,y),compose(u,v))* well_ordering(z,domain_of(x))* -> member(least(z,image(u,image(v,singleton(w)))),image(u,image(v,singleton(w))))*.
% 299.85/300.48  38291[5:SoR:3936.0,8479.2] single_valued_class(restrict(u,v,universal_class)) || subclass(image(u,v),domain_of(domain_of(w))) equal(domain_of(domain_of(x)),domain_of(restrict(u,v,universal_class))) equal(restrict(u,v,universal_class),identity_relation) -> compatible(restrict(u,v,universal_class),x,w)*.
% 299.85/300.48  40104[5:MRR:40080.4,5188.0] single_valued_class(u) || member(image(u,image(inverse(u),singleton(v))),universal_class) member(ordered_pair(v,apply(choice,image(u,image(inverse(u),singleton(v))))),cross_product(universal_class,universal_class))* -> equal(image(u,image(inverse(u),singleton(v))),identity_relation).
% 299.85/300.48  40103[5:MRR:40081.4,5188.0] function(u) || member(image(u,image(inverse(u),singleton(v))),universal_class) member(ordered_pair(v,apply(choice,image(u,image(inverse(u),singleton(v))))),cross_product(universal_class,universal_class))* -> equal(image(u,image(inverse(u),singleton(v))),identity_relation).
% 299.85/300.48  39683[5:Rew:5392.2,39671.5] || member(u,universal_class) member(ordered_pair(u,v),compose(w,x))* subclass(image(w,range_of(identity_relation)),y)* well_ordering(z,y)* -> member(u,domain_of(x)) member(least(z,image(w,range_of(identity_relation))),image(w,range_of(identity_relation)))*.
% 299.85/300.48  38866[5:Rew:5392.2,38852.4] || member(u,universal_class) member(ordered_pair(u,ordered_pair(v,least(image(w,range_of(identity_relation)),x))),compose(w,y))* member(v,x) subclass(x,z)* well_ordering(image(w,range_of(identity_relation)),z)* -> member(u,domain_of(y)).
% 299.85/300.48  40099[5:Rew:5309.0,40091.2,5309.0,40091.1,5309.0,40091.0] || member(image(u,range_of(identity_relation)),universal_class) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(u,range_of(identity_relation)),identity_relation) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),compose(u,identity_relation))*.
% 299.85/300.48  202662[5:Rew:200704.1,202639.4] || equal(u,universal_class) member(ordered_pair(u,ordered_pair(v,least(image(w,image(x,identity_relation)),y))),compose(w,x))* member(v,y) subclass(y,z)* well_ordering(image(w,image(x,identity_relation)),z)* -> inductive(u).
% 299.85/300.48  202664[12:Rew:191620.1,202644.4] || member(u,universal_class) member(ordered_pair(sum_class(range_of(u)),ordered_pair(v,least(image(w,image(x,identity_relation)),y))),compose(w,x))* member(v,y) subclass(y,z)* well_ordering(image(w,image(x,identity_relation)),z)* -> .
% 299.85/300.48  202839[5:Rew:200704.1,202817.3,200704.1,202817.1] || equal(u,universal_class) member(ordered_pair(u,regular(image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> inductive(u) equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(u,regular(image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  202841[17:Rew:196425.0,202823.2,196425.0,202823.0] || member(ordered_pair(inverse(u),regular(image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(range_of(u),identity_relation) equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(inverse(u),regular(image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  202843[12:Rew:192336.1,202820.2,192336.1,202820.1] || member(u,universal_class) member(ordered_pair(range_of(u),regular(image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(range_of(u),regular(image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  203584[17:Rew:196425.0,203559.4] || member(ordered_pair(inverse(u),v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* well_ordering(z,y)* -> equal(range_of(u),identity_relation) member(least(z,image(w,image(x,identity_relation))),image(w,image(x,identity_relation)))*.
% 299.85/300.48  203585[12:Rew:192336.1,203556.4] || member(u,universal_class) member(ordered_pair(range_of(u),v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* well_ordering(z,y)* -> member(least(z,image(w,image(x,identity_relation))),image(w,image(x,identity_relation)))*.
% 299.85/300.48  203796[15:Rew:191663.0,203774.1,191663.0,203774.0] || member(ordered_pair(sum_class(range_of(identity_relation)),not_subclass_element(image(u,image(v,identity_relation)),w)),cross_product(universal_class,universal_class)) -> subclass(image(u,image(v,identity_relation)),w) member(ordered_pair(sum_class(range_of(identity_relation)),not_subclass_element(image(u,image(v,identity_relation)),w)),compose(u,v))*.
% 299.85/300.48  204377[5:Res:5508.3,203257.1] || member(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class))* equal(compose(u,v),identity_relation) -> equal(image(u,image(v,singleton(w))),identity_relation).
% 299.85/300.48  204792[5:Res:5508.3,204710.1] || member(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class))* subclass(compose(u,v),identity_relation) -> equal(image(u,image(v,singleton(w))),identity_relation).
% 299.85/300.48  121938[5:Rew:26481.1,121921.4] || member(ordered_pair(u,v),compose(regular(cross_product(image(w,singleton(u)),universal_class)),w))* subclass(range_of(identity_relation),x)* well_ordering(y,x)* -> equal(cross_product(image(w,singleton(u)),universal_class),identity_relation) member(least(y,range_of(identity_relation)),range_of(identity_relation))*.
% 299.85/300.48  220389[5:Res:220369.1,3920.0] || member(ordered_pair(u,least(intersection(v,symmetrization_of(identity_relation)),w)),inverse(identity_relation))* member(ordered_pair(u,least(intersection(v,symmetrization_of(identity_relation)),w)),v)* member(u,w) subclass(w,x)* well_ordering(intersection(v,symmetrization_of(identity_relation)),x)* -> .
% 299.85/300.48  225905[5:Res:689.1,29630.0] || member(apply(choice,regular(intersection(complement(u),complement(v)))),universal_class) -> member(apply(choice,regular(intersection(complement(u),complement(v)))),union(u,v))* equal(regular(intersection(complement(u),complement(v))),identity_relation) equal(intersection(complement(u),complement(v)),identity_relation).
% 299.85/300.48  229248[5:Rew:8055.2,229243.2] || well_ordering(intersection(u,v),universal_class)* member(ordered_pair(w,x),v)* member(ordered_pair(w,x),u)* member(w,singleton(x)) subclass(singleton(x),y)* well_ordering(intersection(u,v),y)* -> equal(singleton(x),identity_relation).
% 299.85/300.48  235630[5:SpR:5337.2,20387.1] || member(cross_product(u,v),universal_class) subclass(rest_relation,rotate(w)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(ordered_pair(second(apply(choice,cross_product(u,v))),rest_of(apply(choice,cross_product(u,v)))),first(apply(choice,cross_product(u,v)))),w)*.
% 299.85/300.48  235750[5:SpR:5337.2,20388.1] || member(cross_product(u,v),universal_class) subclass(rest_relation,flip(w)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(apply(choice,cross_product(u,v)),rest_of(ordered_pair(second(apply(choice,cross_product(u,v))),first(apply(choice,cross_product(u,v)))))),w)*.
% 299.85/300.48  235741[5:SpR:5337.2,20388.1] || member(cross_product(u,v),universal_class) subclass(rest_relation,flip(w)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(ordered_pair(second(apply(choice,cross_product(u,v))),first(apply(choice,cross_product(u,v)))),rest_of(apply(choice,cross_product(u,v)))),w)*.
% 299.85/300.48  249431[0:Rew:249197.0,246473.0] ||  -> equal(intersection(complement(symmetric_difference(complement(u),power_class(complement(power_class(v))))),union(union(u,image(element_relation,power_class(v))),union(complement(u),power_class(complement(power_class(v)))))),symmetric_difference(union(u,image(element_relation,power_class(v))),union(complement(u),power_class(complement(power_class(v))))))**.
% 299.85/300.48  249792[0:Rew:249197.0,246046.0] ||  -> equal(intersection(complement(symmetric_difference(power_class(complement(power_class(u))),complement(v))),union(union(image(element_relation,power_class(u)),v),union(power_class(complement(power_class(u))),complement(v)))),symmetric_difference(union(image(element_relation,power_class(u)),v),union(power_class(complement(power_class(u))),complement(v))))**.
% 299.85/300.48  269581[5:Res:5330.2,7532.1] || member(intersection(u,power_class(intersection(complement(v),complement(w)))),universal_class) member(apply(choice,intersection(u,power_class(intersection(complement(v),complement(w))))),image(element_relation,union(v,w)))* -> equal(intersection(u,power_class(intersection(complement(v),complement(w)))),identity_relation).
% 299.85/300.48  269561[5:Res:5331.2,7532.1] || member(intersection(power_class(intersection(complement(u),complement(v))),w),universal_class) member(apply(choice,intersection(power_class(intersection(complement(u),complement(v))),w)),image(element_relation,union(u,v)))* -> equal(intersection(power_class(intersection(complement(u),complement(v))),w),identity_relation).
% 299.85/300.48  270794[0:Rew:251244.0,270699.3] || member(u,v) subclass(v,w)* well_ordering(union(intersection(power_class(x),complement(y)),z),w)* -> member(ordered_pair(u,least(union(intersection(power_class(x),complement(y)),z),v)),intersection(union(complement(power_class(x)),y),complement(z)))*.
% 299.85/300.48  270795[5:Rew:251244.0,270656.2,251244.0,270656.0] || member(union(intersection(power_class(u),complement(v)),w),universal_class) member(apply(choice,union(intersection(power_class(u),complement(v)),w)),intersection(union(complement(power_class(u)),v),complement(w)))* -> equal(union(intersection(power_class(u),complement(v)),w),identity_relation).
% 299.85/300.48  35078[0:SpR:932.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(complement(intersection(u,singleton(u))),successor(u))),union(complement(symmetric_difference(u,singleton(u))),union(complement(intersection(u,singleton(u))),successor(u)))),symmetric_difference(complement(symmetric_difference(u,singleton(u))),union(complement(intersection(u,singleton(u))),successor(u))))**.
% 299.85/300.48  34150[0:Res:3654.2,18.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,cross_product(w,x))* -> equal(ordered_pair(first(ordered_pair(u,ordered_pair(v,compose(u,v)))),second(ordered_pair(u,ordered_pair(v,compose(u,v))))),ordered_pair(u,ordered_pair(v,compose(u,v))))**.
% 299.85/300.48  35077[0:SpR:931.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(complement(intersection(u,inverse(u))),symmetrization_of(u))),union(complement(symmetric_difference(u,inverse(u))),union(complement(intersection(u,inverse(u))),symmetrization_of(u)))),symmetric_difference(complement(symmetric_difference(u,inverse(u))),union(complement(intersection(u,inverse(u))),symmetrization_of(u))))**.
% 299.85/300.48  36403[0:Rew:2089.1,36396.3] || equal(compose(u,first(not_subclass_element(cross_product(v,w),x))),second(not_subclass_element(cross_product(v,w),x)))** member(not_subclass_element(cross_product(v,w),x),cross_product(universal_class,universal_class))* -> subclass(cross_product(v,w),x) member(not_subclass_element(cross_product(v,w),x),compose_class(u)).
% 299.85/300.48  39052[0:Rew:29.0,39027.5,29.0,39027.2,29.0,39027.0] || member(least(restrict(u,v,w),x),w)* member(y,v) member(ordered_pair(y,least(restrict(u,v,w),x)),u)* member(y,x) subclass(x,z)* well_ordering(restrict(u,v,w),z)* -> .
% 299.85/300.48  28262[0:Res:2603.2,128.3] || member(ordered_pair(u,least(restrict(v,w,x),y)),cross_product(w,x))* member(ordered_pair(u,least(restrict(v,w,x),y)),v)* member(u,y) subclass(y,z)* well_ordering(restrict(v,w,x),z)* -> .
% 299.85/300.48  36800[3:Res:3564.3,3926.0] || connected(u,v) well_ordering(cross_product(w,not_well_ordering(u,v)),v)* member(x,w)* member(x,not_well_ordering(u,v))* subclass(not_well_ordering(u,v),y) well_ordering(cross_product(w,not_well_ordering(u,v)),y)* -> well_ordering(u,v).
% 299.85/300.48  36799[5:Res:5426.2,3926.0] || well_ordering(cross_product(u,compose(v,w)),cross_product(universal_class,universal_class))* member(x,u)* member(x,compose(v,w))* subclass(compose(v,w),y) well_ordering(cross_product(u,compose(v,w)),y)* -> equal(compose(v,w),identity_relation).
% 299.85/300.48  39060[0:Rew:160.0,38975.4,160.0,38975.1] || member(ordered_pair(u,least(symmetric_difference(v,w),x)),union(v,w)) member(ordered_pair(u,least(symmetric_difference(v,w),x)),complement(intersection(v,w)))* member(u,x) subclass(x,y)* well_ordering(symmetric_difference(v,w),y)* -> .
% 299.85/300.48  37488[0:Rew:941.0,37427.4] || member(u,union(complement(v),complement(w)))* member(u,union(v,w)) subclass(symmetric_difference(complement(v),complement(w)),x)* well_ordering(y,x)* -> member(least(y,symmetric_difference(complement(v),complement(w))),symmetric_difference(complement(v),complement(w)))*.
% 299.85/300.48  36512[5:MRR:36503.3,5184.0] || section(u,v,w) well_ordering(x,v) subclass(singleton(least(x,domain_of(restrict(u,w,v)))),domain_of(restrict(u,w,v))) -> section(x,singleton(least(x,domain_of(restrict(u,w,v)))),domain_of(restrict(u,w,v)))*.
% 299.85/300.48  37972[5:SpL:5337.2,34.0] || member(cross_product(u,v),universal_class) member(ordered_pair(apply(choice,cross_product(u,v)),w),rotate(x)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(ordered_pair(second(apply(choice,cross_product(u,v))),w),first(apply(choice,cross_product(u,v)))),x)*.
% 299.85/300.48  37971[5:SpL:5337.2,37.0] || member(cross_product(u,v),universal_class) member(ordered_pair(apply(choice,cross_product(u,v)),w),flip(x)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(ordered_pair(second(apply(choice,cross_product(u,v))),first(apply(choice,cross_product(u,v)))),w),x)*.
% 299.85/300.48  35414[0:Rew:579.0,35392.4] || member(u,universal_class) subclass(power_class(intersection(complement(v),complement(w))),x)* well_ordering(y,x)* -> member(u,image(element_relation,union(v,w)))* member(least(y,power_class(intersection(complement(v),complement(w)))),power_class(intersection(complement(v),complement(w))))*.
% 299.85/300.48  39148[5:Res:5507.2,2.0] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class))* subclass(compose(v,w),x) -> equal(image(v,image(w,singleton(u))),identity_relation) member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),x)*.
% 299.85/300.48  40258[5:Res:5508.3,1025.1] || member(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class))* subclass(universal_class,complement(compose(u,v))) -> equal(image(u,image(v,singleton(w))),identity_relation).
% 299.85/300.48  121934[5:Rew:26481.1,121903.2,26481.1,121903.0] || member(ordered_pair(u,regular(image(v,range_of(identity_relation)))),cross_product(universal_class,universal_class)) -> equal(cross_product(singleton(u),universal_class),identity_relation) equal(image(v,range_of(identity_relation)),identity_relation) member(ordered_pair(u,regular(image(v,range_of(identity_relation)))),compose(v,regular(cross_product(singleton(u),universal_class))))*.
% 299.85/300.48  94601[0:Res:86994.1,3719.1] || equal(cantor(inverse(u)),image(v,image(w,singleton(x))))* member(ordered_pair(x,y),compose(v,w))* well_ordering(z,range_of(u))* -> member(least(z,image(v,image(w,singleton(x)))),image(v,image(w,singleton(x))))*.
% 299.85/300.48  203582[5:Rew:200704.1,203553.5] || equal(u,universal_class) member(ordered_pair(u,v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* well_ordering(z,y)* -> inductive(u) member(least(z,image(w,image(x,identity_relation))),image(w,image(x,identity_relation)))*.
% 299.85/300.48  203586[12:Rew:191620.1,203558.4] || member(u,universal_class) member(ordered_pair(sum_class(range_of(u)),v),compose(w,x))* subclass(image(w,image(x,identity_relation)),y)* well_ordering(z,y)* -> member(least(z,image(w,image(x,identity_relation))),image(w,image(x,identity_relation)))*.
% 299.85/300.48  204172[5:Res:5508.3,153534.1] || member(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class))* equal(complement(compose(u,v)),universal_class) -> equal(image(u,image(v,singleton(w))),identity_relation).
% 299.85/300.48  210569[17:Rew:210378.1,210434.2,210378.1,210434.1] one_to_one(u) || member(ordered_pair(inverse(u),not_subclass_element(image(v,image(w,identity_relation)),x)),cross_product(universal_class,universal_class)) -> subclass(image(v,image(w,identity_relation)),x) member(ordered_pair(inverse(u),not_subclass_element(image(v,image(w,identity_relation)),x)),compose(v,w))*.
% 299.85/300.48  121939[5:Rew:26481.1,121908.2,26481.1,121908.0] || member(ordered_pair(u,not_subclass_element(range_of(identity_relation),v)),cross_product(universal_class,universal_class)) -> equal(cross_product(image(w,singleton(u)),universal_class),identity_relation) subclass(range_of(identity_relation),v) member(ordered_pair(u,not_subclass_element(range_of(identity_relation),v)),compose(regular(cross_product(image(w,singleton(u)),universal_class)),w))*.
% 299.85/300.48  229746[5:SpR:930.0,5585.1] ||  -> equal(symmetric_difference(complement(symmetric_difference(u,v)),union(complement(intersection(u,v)),union(u,v))),identity_relation) member(regular(symmetric_difference(complement(symmetric_difference(u,v)),union(complement(intersection(u,v)),union(u,v)))),complement(symmetric_difference(complement(intersection(u,v)),union(u,v))))*.
% 299.85/300.48  235682[0:Res:20387.1,60.0] || subclass(rest_relation,rotate(image(u,image(v,singleton(w))))) member(ordered_pair(w,ordered_pair(ordered_pair(x,rest_of(ordered_pair(y,x))),y)),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,ordered_pair(ordered_pair(x,rest_of(ordered_pair(y,x))),y)),compose(u,v))*.
% 299.85/300.48  235798[0:Res:20388.1,60.0] || subclass(rest_relation,flip(image(u,image(v,singleton(w))))) member(ordered_pair(w,ordered_pair(ordered_pair(x,y),rest_of(ordered_pair(y,x)))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,ordered_pair(ordered_pair(x,y),rest_of(ordered_pair(y,x)))),compose(u,v))*.
% 299.85/300.48  260882[0:Res:8216.1,2599.1] || member(not_subclass_element(intersection(u,intersection(v,complement(intersection(w,x)))),y),union(w,x)) -> subclass(intersection(u,intersection(v,complement(intersection(w,x)))),y) member(not_subclass_element(intersection(u,intersection(v,complement(intersection(w,x)))),y),symmetric_difference(w,x))*.
% 299.85/300.48  261452[0:Res:8215.1,2599.1] || member(not_subclass_element(intersection(u,intersection(complement(intersection(v,w)),x)),y),union(v,w)) -> subclass(intersection(u,intersection(complement(intersection(v,w)),x)),y) member(not_subclass_element(intersection(u,intersection(complement(intersection(v,w)),x)),y),symmetric_difference(v,w))*.
% 299.85/300.48  262356[0:Res:8310.1,2599.1] || member(not_subclass_element(intersection(intersection(u,complement(intersection(v,w))),x),y),union(v,w)) -> subclass(intersection(intersection(u,complement(intersection(v,w))),x),y) member(not_subclass_element(intersection(intersection(u,complement(intersection(v,w))),x),y),symmetric_difference(v,w))*.
% 299.85/300.48  263047[0:Res:8309.1,2599.1] || member(not_subclass_element(intersection(intersection(complement(intersection(u,v)),w),x),y),union(u,v)) -> subclass(intersection(intersection(complement(intersection(u,v)),w),x),y) member(not_subclass_element(intersection(intersection(complement(intersection(u,v)),w),x),y),symmetric_difference(u,v))*.
% 299.85/300.48  265499[5:Res:28995.3,2599.1] function(complement(intersection(u,v))) || member(cross_product(universal_class,universal_class),universal_class) member(least(element_relation,complement(intersection(u,v))),union(u,v)) -> equal(complement(intersection(u,v)),identity_relation) member(least(element_relation,complement(intersection(u,v))),symmetric_difference(u,v))*.
% 299.85/300.48  118190[0:Rew:930.0,118111.1] || member(not_subclass_element(union(complement(intersection(u,v)),union(u,v)),symmetric_difference(complement(intersection(u,v)),union(u,v))),complement(symmetric_difference(u,v)))* -> subclass(union(complement(intersection(u,v)),union(u,v)),symmetric_difference(complement(intersection(u,v)),union(u,v))).
% 299.85/300.48  36361[0:SpR:2089.1,144.2] || member(first(not_subclass_element(cross_product(u,v),w)),domain_of(x)) equal(restrict(x,first(not_subclass_element(cross_product(u,v),w)),universal_class),second(not_subclass_element(cross_product(u,v),w)))** -> subclass(cross_product(u,v),w) member(not_subclass_element(cross_product(u,v),w),rest_of(x)).
% 299.85/300.48  34013[5:SpR:5338.1,3743.3] || member(second(regular(cross_product(u,v))),universal_class)* member(first(regular(cross_product(u,v))),universal_class) equal(successor(first(regular(cross_product(u,v)))),second(regular(cross_product(u,v)))) -> equal(cross_product(u,v),identity_relation) member(regular(cross_product(u,v)),successor_relation).
% 299.85/300.48  117118[0:MRR:117084.0,641.0] || member(ordered_pair(u,least(intersection(v,union(w,x)),y)),v)* member(u,y) subclass(y,z)* well_ordering(intersection(v,union(w,x)),z)* -> member(ordered_pair(u,least(intersection(v,union(w,x)),y)),complement(x))*.
% 299.85/300.48  116731[0:MRR:116705.0,641.0] || member(ordered_pair(u,least(intersection(v,union(w,x)),y)),v)* member(u,y) subclass(y,z)* well_ordering(intersection(v,union(w,x)),z)* -> member(ordered_pair(u,least(intersection(v,union(w,x)),y)),complement(w))*.
% 299.85/300.48  117080[0:Res:27934.1,3926.0] || member(least(cross_product(u,union(v,w)),x),universal_class) member(y,u)* member(y,x)* subclass(x,z)* well_ordering(cross_product(u,union(v,w)),z)* -> member(least(cross_product(u,union(v,w)),x),complement(w))*.
% 299.85/300.48  116701[0:Res:27933.1,3926.0] || member(least(cross_product(u,union(v,w)),x),universal_class) member(y,u)* member(y,x)* subclass(x,z)* well_ordering(cross_product(u,union(v,w)),z)* -> member(least(cross_product(u,union(v,w)),x),complement(v))*.
% 299.85/300.48  36784[0:Res:24.2,3926.0] || member(least(cross_product(u,intersection(v,w)),x),w)* member(least(cross_product(u,intersection(v,w)),x),v)* member(y,u)* member(y,x)* subclass(x,z)* well_ordering(cross_product(u,intersection(v,w)),z)* -> .
% 299.85/300.48  39028[0:Res:29470.2,3920.0] || member(least(intersection(u,element_relation),v),universal_class) member(w,least(intersection(u,element_relation),v)) member(ordered_pair(w,least(intersection(u,element_relation),v)),u)* member(w,v) subclass(v,x)* well_ordering(intersection(u,element_relation),x)* -> .
% 299.85/300.48  39024[5:Res:29487.1,3920.0] || member(ordered_pair(u,least(intersection(v,compose(element_relation,universal_class)),w)),element_relation)* member(ordered_pair(u,least(intersection(v,compose(element_relation,universal_class)),w)),v)* member(u,w) subclass(w,x)* well_ordering(intersection(v,compose(element_relation,universal_class)),x)* -> .
% 299.85/300.48  34426[3:Res:3564.3,3336.0] || connected(u,v) well_ordering(w,v) member(x,y)* -> well_ordering(u,v) equal(ordered_pair(first(ordered_pair(x,least(w,not_well_ordering(u,v)))),second(ordered_pair(x,least(w,not_well_ordering(u,v))))),ordered_pair(x,least(w,not_well_ordering(u,v))))**.
% 299.85/300.48  34421[5:Res:5426.2,3336.0] || well_ordering(u,cross_product(universal_class,universal_class)) member(v,w)* -> equal(compose(x,y),identity_relation) equal(ordered_pair(first(ordered_pair(v,least(u,compose(x,y)))),second(ordered_pair(v,least(u,compose(x,y))))),ordered_pair(v,least(u,compose(x,y))))**.
% 299.85/300.48  34672[0:Res:59.1,2612.0] || member(ordered_pair(u,not_subclass_element(v,intersection(w,image(x,image(y,singleton(u)))))),compose(x,y))* member(not_subclass_element(v,intersection(w,image(x,image(y,singleton(u))))),w)* -> subclass(v,intersection(w,image(x,image(y,singleton(u))))).
% 299.85/300.48  162493[0:Res:122671.0,60.0] || member(ordered_pair(u,not_subclass_element(v,complement(image(w,image(x,singleton(u)))))),cross_product(universal_class,universal_class)) -> subclass(v,complement(image(w,image(x,singleton(u))))) member(ordered_pair(u,not_subclass_element(v,complement(image(w,image(x,singleton(u)))))),compose(w,x))*.
% 299.85/300.48  36793[0:Res:59.1,3926.0] || member(ordered_pair(u,least(cross_product(v,image(w,image(x,singleton(u)))),y)),compose(w,x))* member(z,v)* member(z,y)* subclass(y,x1)* well_ordering(cross_product(v,image(w,image(x,singleton(u)))),x1)* -> .
% 299.85/300.48  168545[12:Rew:168477.0,168492.2,168477.0,168492.1,168477.0,168492.0] || well_ordering(element_relation,image(recursion(u,successor_relation,identity_relation),singleton(v))) subclass(ordinal_add(u,v),image(recursion(u,successor_relation,identity_relation),singleton(v)))* -> equal(image(recursion(u,successor_relation,identity_relation),singleton(v)),universal_class) member(image(recursion(u,successor_relation,identity_relation),singleton(v)),universal_class).
% 299.85/300.48  38292[0:SoR:3936.0,4792.2] single_valued_class(restrict(u,v,universal_class)) || subclass(image(u,v),domain_of(domain_of(w))) equal(domain_of(domain_of(x)),domain_of(restrict(u,v,universal_class))) equal(restrict(u,v,universal_class),cross_product(universal_class,universal_class)) -> compatible(restrict(u,v,universal_class),x,w)*.
% 299.85/300.48  36803[5:Res:5427.3,3926.0] inductive(u) || well_ordering(cross_product(v,image(successor_relation,u)),u)* member(w,v)* member(w,image(successor_relation,u))* subclass(image(successor_relation,u),x) well_ordering(cross_product(v,image(successor_relation,u)),x)* -> equal(image(successor_relation,u),identity_relation).
% 299.85/300.48  121935[5:Rew:26481.1,121916.4] || member(ordered_pair(u,v),compose(w,regular(cross_product(singleton(u),universal_class))))* subclass(image(w,range_of(identity_relation)),x)* well_ordering(y,x)* -> equal(cross_product(singleton(u),universal_class),identity_relation) member(least(y,image(w,range_of(identity_relation))),image(w,range_of(identity_relation)))*.
% 299.85/300.48  121932[5:Rew:26481.1,121919.3] || member(ordered_pair(u,ordered_pair(v,least(image(w,range_of(identity_relation)),x))),compose(w,regular(cross_product(singleton(u),universal_class))))* member(v,x) subclass(x,y)* well_ordering(image(w,range_of(identity_relation)),y)* -> equal(cross_product(singleton(u),universal_class),identity_relation).
% 299.85/300.48  202844[12:Rew:191620.1,202822.2,191620.1,202822.1] || member(u,universal_class) member(ordered_pair(sum_class(range_of(u)),regular(image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(sum_class(range_of(u)),regular(image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  203793[5:Rew:200704.1,203770.3,200704.1,203770.1] || equal(u,universal_class) member(ordered_pair(u,not_subclass_element(image(v,image(w,identity_relation)),x)),cross_product(universal_class,universal_class)) -> inductive(u) subclass(image(v,image(w,identity_relation)),x) member(ordered_pair(u,not_subclass_element(image(v,image(w,identity_relation)),x)),compose(v,w))*.
% 299.85/300.48  203795[17:Rew:196425.0,203776.2,196425.0,203776.0] || member(ordered_pair(inverse(u),not_subclass_element(image(v,image(w,identity_relation)),x)),cross_product(universal_class,universal_class)) -> equal(range_of(u),identity_relation) subclass(image(v,image(w,identity_relation)),x) member(ordered_pair(inverse(u),not_subclass_element(image(v,image(w,identity_relation)),x)),compose(v,w))*.
% 299.85/300.48  203797[12:Rew:192336.1,203773.2,192336.1,203773.1] || member(u,universal_class) member(ordered_pair(range_of(u),not_subclass_element(image(v,image(w,identity_relation)),x)),cross_product(universal_class,universal_class)) -> subclass(image(v,image(w,identity_relation)),x) member(ordered_pair(range_of(u),not_subclass_element(image(v,image(w,identity_relation)),x)),compose(v,w))*.
% 299.85/300.48  121933[5:Rew:26481.1,121924.3] || member(ordered_pair(u,ordered_pair(v,least(range_of(identity_relation),w))),compose(regular(cross_product(image(x,singleton(u)),universal_class)),x))* member(v,w) subclass(w,y)* well_ordering(range_of(identity_relation),y)* -> equal(cross_product(image(x,singleton(u)),universal_class),identity_relation).
% 299.85/300.48  234918[5:Res:26595.1,3926.0] || member(least(cross_product(u,domain_of(v)),w),universal_class) member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,domain_of(v)),y)* -> equal(apply(v,least(cross_product(u,domain_of(v)),w)),sum_class(range_of(identity_relation)))**.
% 299.85/300.48  234969[5:MRR:234906.0,641.0] || member(ordered_pair(u,least(intersection(v,domain_of(w)),x)),v)* member(u,x) subclass(x,y)* well_ordering(intersection(v,domain_of(w)),y)* -> equal(apply(w,ordered_pair(u,least(intersection(v,domain_of(w)),x))),sum_class(range_of(identity_relation)))**.
% 299.85/300.48  241727[0:SpR:930.0,8335.1] ||  -> subclass(symmetric_difference(complement(symmetric_difference(u,v)),union(complement(intersection(u,v)),union(u,v))),w) member(not_subclass_element(symmetric_difference(complement(symmetric_difference(u,v)),union(complement(intersection(u,v)),union(u,v))),w),complement(symmetric_difference(complement(intersection(u,v)),union(u,v))))*.
% 299.85/300.48  243278[21:Rew:242761.0,163400.1] || member(universal_class,domain_of(complement(compose(complement(element_relation),inverse(element_relation))))) equal(least(rest_of(complement(compose(complement(element_relation),inverse(element_relation)))),u),identity_relation)** member(universal_class,u) subclass(u,v)* well_ordering(rest_of(complement(compose(complement(element_relation),inverse(element_relation)))),v)* -> .
% 299.85/300.48  259370[0:Res:30856.1,2612.0] || member(not_subclass_element(u,intersection(v,intersection(w,x))),union(w,x)) member(not_subclass_element(u,intersection(v,intersection(w,x))),v)* -> member(not_subclass_element(u,intersection(v,intersection(w,x))),symmetric_difference(w,x))* subclass(u,intersection(v,intersection(w,x))).
% 299.85/300.48  268789[5:SpR:5337.2,5563.1] || member(cross_product(u,v),universal_class) subclass(omega,composition_function) -> equal(cross_product(u,v),identity_relation) equal(integer_of(ordered_pair(w,apply(choice,cross_product(u,v)))),identity_relation) equal(compose(w,first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.48  37647[0:Res:4116.3,128.3] || member(least(rotate(u),v),universal_class) member(ordered_pair(w,x),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(x,least(rotate(u),v)),w),u)* member(ordered_pair(w,x),v) subclass(v,y)* well_ordering(rotate(u),y)* -> .
% 299.85/300.48  37543[0:Res:4107.3,128.3] || member(least(flip(u),v),universal_class) member(ordered_pair(w,x),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(x,w),least(flip(u),v)),u)* member(ordered_pair(w,x),v) subclass(v,y)* well_ordering(flip(u),y)* -> .
% 299.85/300.48  37491[0:Rew:939.0,37419.4] || member(u,union(cross_product(v,w),x))* member(u,complement(restrict(x,v,w))) subclass(symmetric_difference(cross_product(v,w),x),y)* well_ordering(z,y)* -> member(least(z,symmetric_difference(cross_product(v,w),x)),symmetric_difference(cross_product(v,w),x))*.
% 299.85/300.48  37492[0:Rew:938.0,37418.4] || member(u,union(v,cross_product(w,x)))* member(u,complement(restrict(v,w,x))) subclass(symmetric_difference(v,cross_product(w,x)),y)* well_ordering(z,y)* -> member(least(z,symmetric_difference(v,cross_product(w,x))),symmetric_difference(v,cross_product(w,x)))*.
% 299.85/300.48  153306[5:Res:118490.1,3920.0] || member(ordered_pair(u,least(intersection(v,symmetric_difference(universal_class,w)),x)),complement(w))* member(ordered_pair(u,least(intersection(v,symmetric_difference(universal_class,w)),x)),v)* member(u,x) subclass(x,y)* well_ordering(intersection(v,symmetric_difference(universal_class,w)),y)* -> .
% 299.85/300.48  39055[0:MRR:39029.1,29469.1] || member(least(intersection(u,successor_relation),v),universal_class) equal(successor(w),least(intersection(u,successor_relation),v)) member(ordered_pair(w,least(intersection(u,successor_relation),v)),u)* member(w,v) subclass(v,x)* well_ordering(intersection(u,successor_relation),x)* -> .
% 299.85/300.48  39056[0:Rew:647.0,39008.1] || member(singleton(singleton(singleton(least(intersection(u,v),w)))),v)* member(singleton(singleton(singleton(least(intersection(u,v),w)))),u)* member(singleton(least(intersection(u,v),w)),w)* subclass(w,x)* well_ordering(intersection(u,v),x)* -> .
% 299.85/300.48  37953[5:SpR:5337.2,29470.2] || member(cross_product(u,v),universal_class) member(second(apply(choice,cross_product(u,v))),universal_class) member(first(apply(choice,cross_product(u,v))),second(apply(choice,cross_product(u,v))))* -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),element_relation).
% 299.85/300.48  39415[5:Res:29628.0,60.0] || member(ordered_pair(u,regular(complement(complement(image(v,image(w,singleton(u))))))),cross_product(universal_class,universal_class)) -> equal(complement(complement(image(v,image(w,singleton(u))))),identity_relation) member(ordered_pair(u,regular(complement(complement(image(v,image(w,singleton(u))))))),compose(v,w))*.
% 299.85/300.48  39775[0:Res:4017.2,2.0] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class))* subclass(compose(v,w),y) -> subclass(image(v,image(w,singleton(u))),x) member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),y)*.
% 299.85/300.48  5611[5:Rew:5180.0,5031.1] || member(ordered_pair(u,regular(intersection(image(v,image(w,singleton(u))),x))),cross_product(universal_class,universal_class)) -> equal(intersection(image(v,image(w,singleton(u))),x),identity_relation) member(ordered_pair(u,regular(intersection(image(v,image(w,singleton(u))),x))),compose(v,w))*.
% 299.85/300.48  5591[5:Rew:5180.0,4904.1] || member(ordered_pair(u,regular(intersection(v,image(w,image(x,singleton(u)))))),cross_product(universal_class,universal_class)) -> equal(intersection(v,image(w,image(x,singleton(u)))),identity_relation) member(ordered_pair(u,regular(intersection(v,image(w,image(x,singleton(u)))))),compose(w,x))*.
% 299.85/300.48  46860[3:Res:28041.2,60.0] inductive(image(u,image(v,singleton(w)))) || well_ordering(x,universal_class) member(ordered_pair(w,least(x,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,least(x,image(u,image(v,singleton(w))))),compose(u,v))*.
% 299.85/300.48  8065[5:Res:5404.2,60.0] || well_ordering(u,universal_class) member(ordered_pair(v,least(u,image(w,image(x,singleton(v))))),cross_product(universal_class,universal_class)) -> equal(image(w,image(x,singleton(v))),identity_relation) member(ordered_pair(v,least(u,image(w,image(x,singleton(v))))),compose(w,x))*.
% 299.85/300.48  39147[5:Res:5507.2,126.0] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class))* subclass(compose(v,w),x)* well_ordering(y,x)* -> equal(image(v,image(w,singleton(u))),identity_relation) member(least(y,compose(v,w)),compose(v,w))*.
% 299.85/300.48  34429[5:Res:5427.3,3336.0] inductive(u) || well_ordering(v,u) member(w,x)* -> equal(image(successor_relation,u),identity_relation) equal(ordered_pair(first(ordered_pair(w,least(v,image(successor_relation,u)))),second(ordered_pair(w,least(v,image(successor_relation,u))))),ordered_pair(w,least(v,image(successor_relation,u))))**.
% 299.85/300.48  121936[5:Rew:26481.1,121904.2,26481.1,121904.0] || member(ordered_pair(u,not_subclass_element(image(v,range_of(identity_relation)),w)),cross_product(universal_class,universal_class)) -> equal(cross_product(singleton(u),universal_class),identity_relation) subclass(image(v,range_of(identity_relation)),w) member(ordered_pair(u,not_subclass_element(image(v,range_of(identity_relation)),w)),compose(v,regular(cross_product(singleton(u),universal_class))))*.
% 299.85/300.48  39018[5:Res:29474.1,3920.0] || member(ordered_pair(u,least(intersection(v,cantor(inverse(w))),x)),range_of(w))* member(ordered_pair(u,least(intersection(v,cantor(inverse(w))),x)),v)* member(u,x) subclass(x,y)* well_ordering(intersection(v,cantor(inverse(w))),y)* -> .
% 299.85/300.48  202728[7:Res:189491.0,3920.0] || member(ordered_pair(u,least(intersection(v,complement(singleton(identity_relation))),w)),v)* member(u,w) subclass(w,x)* well_ordering(intersection(v,complement(singleton(identity_relation))),x)* -> subclass(singleton(ordered_pair(u,least(intersection(v,complement(singleton(identity_relation))),w))),singleton(identity_relation))*.
% 299.85/300.48  180201[5:Res:165860.0,3920.0] || member(ordered_pair(u,least(intersection(v,complement(inverse(identity_relation))),w)),v)* member(u,w) subclass(w,x)* well_ordering(intersection(v,complement(inverse(identity_relation))),x)* -> subclass(singleton(ordered_pair(u,least(intersection(v,complement(inverse(identity_relation))),w))),symmetrization_of(identity_relation))*.
% 299.85/300.48  249234[0:Rew:249197.0,246777.3] || member(u,universal_class) subclass(union(v,image(element_relation,power_class(w))),x)* well_ordering(y,x)* -> member(u,intersection(complement(v),power_class(complement(power_class(w)))))* member(least(y,union(v,image(element_relation,power_class(w)))),union(v,image(element_relation,power_class(w))))*.
% 299.85/300.48  249409[0:Rew:249197.0,246348.3] || member(u,universal_class) subclass(union(image(element_relation,power_class(v)),w),x)* well_ordering(y,x)* -> member(u,intersection(power_class(complement(power_class(v))),complement(w)))* member(least(y,union(image(element_relation,power_class(v)),w)),union(image(element_relation,power_class(v)),w))*.
% 299.85/300.48  250055[0:Rew:249197.0,248523.0] ||  -> equal(intersection(symmetrization_of(intersection(power_class(u),complement(inverse(complement(power_class(u)))))),union(symmetrization_of(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(inverse(complement(power_class(u))))))))),symmetric_difference(symmetrization_of(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))))**.
% 299.85/300.48  250059[0:Rew:249197.0,247229.0] ||  -> equal(intersection(successor(intersection(power_class(u),complement(inverse(complement(power_class(u)))))),union(symmetrization_of(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(inverse(complement(power_class(u))))))))),symmetric_difference(symmetrization_of(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(inverse(complement(power_class(u)))))))))**.
% 299.85/300.48  250180[0:Rew:249197.0,248524.0] ||  -> equal(intersection(symmetrization_of(intersection(power_class(u),complement(singleton(complement(power_class(u)))))),union(successor(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(singleton(complement(power_class(u))))))))),symmetric_difference(successor(complement(power_class(u))),complement(inverse(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))))**.
% 299.85/300.48  250184[0:Rew:249197.0,247230.0] ||  -> equal(intersection(successor(intersection(power_class(u),complement(singleton(complement(power_class(u)))))),union(successor(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(singleton(complement(power_class(u))))))))),symmetric_difference(successor(complement(power_class(u))),complement(singleton(intersection(power_class(u),complement(singleton(complement(power_class(u)))))))))**.
% 299.85/300.48  252622[5:Rew:251767.0,251922.4,251767.0,251922.3] || member(ordered_pair(u,least(intersection(v,complement(power_class(universal_class))),w)),v)* member(u,w) subclass(w,x)* well_ordering(intersection(v,complement(power_class(universal_class))),x)* -> subclass(singleton(ordered_pair(u,least(intersection(v,complement(power_class(universal_class))),w))),power_class(universal_class))*.
% 299.85/300.48  252623[5:Rew:251768.0,252121.4,251768.0,252121.3] || member(ordered_pair(u,least(intersection(v,complement(power_class(identity_relation))),w)),v)* member(u,w) subclass(w,x)* well_ordering(intersection(v,complement(power_class(identity_relation))),x)* -> subclass(singleton(ordered_pair(u,least(intersection(v,complement(power_class(identity_relation))),w))),power_class(identity_relation))*.
% 299.85/300.48  259287[0:SpR:930.0,30856.1] || member(u,union(complement(symmetric_difference(v,w)),union(complement(intersection(v,w)),union(v,w)))) -> member(u,symmetric_difference(complement(intersection(v,w)),union(v,w))) member(u,symmetric_difference(complement(symmetric_difference(v,w)),union(complement(intersection(v,w)),union(v,w))))*.
% 299.85/300.48  270313[0:Rew:251233.0,270236.4] || member(u,union(power_class(v),complement(w))) member(u,union(complement(power_class(v)),w))* subclass(symmetric_difference(power_class(v),complement(w)),x)* well_ordering(y,x)* -> member(least(y,symmetric_difference(power_class(v),complement(w))),symmetric_difference(power_class(v),complement(w)))*.
% 299.85/300.48  35059[0:SpR:581.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(u,intersection(complement(v),complement(w)))),union(complement(intersection(u,intersection(complement(v),complement(w)))),complement(intersection(complement(u),union(v,w))))),symmetric_difference(complement(intersection(u,intersection(complement(v),complement(w)))),complement(intersection(complement(u),union(v,w)))))**.
% 299.85/300.48  35062[0:SpR:580.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(intersection(complement(u),complement(v)),w)),union(complement(intersection(intersection(complement(u),complement(v)),w)),complement(intersection(union(u,v),complement(w))))),symmetric_difference(complement(intersection(intersection(complement(u),complement(v)),w)),complement(intersection(union(u,v),complement(w)))))**.
% 299.85/300.48  34014[5:SpR:5338.1,3892.3] || member(second(regular(cross_product(u,v))),universal_class) member(first(regular(cross_product(u,v))),universal_class) equal(compose(w,first(regular(cross_product(u,v)))),second(regular(cross_product(u,v))))** -> equal(cross_product(u,v),identity_relation) member(regular(cross_product(u,v)),compose_class(w)).
% 299.85/300.48  183465[5:Res:4116.3,5490.0] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,u),v),x) subclass(rotate(x),y)* well_ordering(omega,y) -> equal(integer_of(ordered_pair(ordered_pair(ordered_pair(v,w),u),least(omega,rotate(x)))),identity_relation)**.
% 299.85/300.48  183466[5:Res:4107.3,5490.0] || member(u,universal_class) member(ordered_pair(v,w),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(w,v),u),x) subclass(flip(x),y)* well_ordering(omega,y) -> equal(integer_of(ordered_pair(ordered_pair(ordered_pair(v,w),u),least(omega,flip(x)))),identity_relation)**.
% 299.85/300.48  39063[0:Rew:931.0,38976.4,931.0,38976.1] || member(ordered_pair(u,least(symmetric_difference(v,inverse(v)),w)),symmetrization_of(v)) member(ordered_pair(u,least(symmetric_difference(v,inverse(v)),w)),complement(intersection(v,inverse(v))))* member(u,w) subclass(w,x)* well_ordering(symmetric_difference(v,inverse(v)),x)* -> .
% 299.85/300.48  39062[0:Rew:932.0,38977.4,932.0,38977.1] || member(ordered_pair(u,least(symmetric_difference(v,singleton(v)),w)),successor(v)) member(ordered_pair(u,least(symmetric_difference(v,singleton(v)),w)),complement(intersection(v,singleton(v))))* member(u,w) subclass(w,x)* well_ordering(symmetric_difference(v,singleton(v)),x)* -> .
% 299.85/300.48  38000[5:Rew:5337.2,37985.4] || member(cross_product(u,v),universal_class) member(first(apply(choice,cross_product(u,v))),second(apply(choice,cross_product(u,v))))* member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class)) -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),element_relation).
% 299.85/300.48  30835[5:Res:5331.2,2599.1] || member(intersection(complement(intersection(u,v)),w),universal_class) member(apply(choice,intersection(complement(intersection(u,v)),w)),union(u,v)) -> equal(intersection(complement(intersection(u,v)),w),identity_relation) member(apply(choice,intersection(complement(intersection(u,v)),w)),symmetric_difference(u,v))*.
% 299.85/300.48  30850[5:Res:5330.2,2599.1] || member(intersection(u,complement(intersection(v,w))),universal_class) member(apply(choice,intersection(u,complement(intersection(v,w)))),union(v,w)) -> equal(intersection(u,complement(intersection(v,w))),identity_relation) member(apply(choice,intersection(u,complement(intersection(v,w)))),symmetric_difference(v,w))*.
% 299.85/300.48  39774[0:Res:4017.2,126.0] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class))* subclass(compose(v,w),y)* well_ordering(z,y)* -> subclass(image(v,image(w,singleton(u))),x) member(least(z,compose(v,w)),compose(v,w))*.
% 299.85/300.48  46354[5:Res:5508.3,3924.0] || member(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class))* subclass(compose(u,v),x)* well_ordering(universal_class,x) -> equal(image(u,image(v,singleton(w))),identity_relation).
% 299.85/300.48  40106[5:MRR:40105.0,15.1] || member(image(u,range_of(identity_relation)),universal_class) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),cross_product(universal_class,universal_class)) -> member(v,domain_of(w)) equal(image(u,range_of(identity_relation)),identity_relation) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),compose(u,w))*.
% 299.85/300.48  203799[12:Rew:191620.1,203775.2,191620.1,203775.1] || member(u,universal_class) member(ordered_pair(sum_class(range_of(u)),not_subclass_element(image(v,image(w,identity_relation)),x)),cross_product(universal_class,universal_class)) -> subclass(image(v,image(w,identity_relation)),x) member(ordered_pair(sum_class(range_of(u)),not_subclass_element(image(v,image(w,identity_relation)),x)),compose(v,w))*.
% 299.85/300.48  229242[5:SpL:8055.2,3928.0] || well_ordering(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,ordered_pair(x,y)),compose(u,v))* member(x,singleton(y)) subclass(singleton(y),z)* well_ordering(image(u,image(v,singleton(w))),z)* -> equal(singleton(y),identity_relation).
% 299.85/300.48  233799[5:Rew:233410.0,233503.2,233410.0,233503.1,233410.0,233503.0] || member(image(u,image(v,identity_relation)),universal_class) member(ordered_pair(universal_class,apply(choice,image(u,image(v,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(u,image(v,identity_relation)),identity_relation) member(ordered_pair(universal_class,apply(choice,image(u,image(v,identity_relation)))),compose(u,v))*.
% 299.85/300.48  242184[5:Rew:242089.0,242150.2,242089.0,242150.1,242089.0,242150.0] || member(image(u,range_of(identity_relation)),universal_class) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(u,range_of(identity_relation)),identity_relation) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),compose(u,complement(cross_product(singleton(v),universal_class))))*.
% 299.85/300.48  247336[0:Rew:21037.0,247294.4] || member(u,union(complement(v),complement(singleton(v))))* member(u,successor(v)) subclass(symmetric_difference(complement(v),complement(singleton(v))),w)* well_ordering(x,w)* -> member(least(x,symmetric_difference(complement(v),complement(singleton(v)))),symmetric_difference(complement(v),complement(singleton(v))))*.
% 299.85/300.48  248615[0:Rew:21036.0,248584.4] || member(u,union(complement(v),complement(inverse(v))))* member(u,symmetrization_of(v)) subclass(symmetric_difference(complement(v),complement(inverse(v))),w)* well_ordering(x,w)* -> member(least(x,symmetric_difference(complement(v),complement(inverse(v)))),symmetric_difference(complement(v),complement(inverse(v))))*.
% 299.85/300.48  249380[0:Rew:249197.0,248522.0] ||  -> equal(intersection(symmetrization_of(intersection(complement(u),power_class(complement(power_class(v))))),union(union(u,image(element_relation,power_class(v))),complement(inverse(intersection(complement(u),power_class(complement(power_class(v)))))))),symmetric_difference(union(u,image(element_relation,power_class(v))),complement(inverse(intersection(complement(u),power_class(complement(power_class(v))))))))**.
% 299.85/300.48  249384[0:Rew:249197.0,247228.0] ||  -> equal(intersection(successor(intersection(complement(u),power_class(complement(power_class(v))))),union(union(u,image(element_relation,power_class(v))),complement(singleton(intersection(complement(u),power_class(complement(power_class(v)))))))),symmetric_difference(union(u,image(element_relation,power_class(v))),complement(singleton(intersection(complement(u),power_class(complement(power_class(v))))))))**.
% 299.85/300.48  249754[0:Rew:249197.0,248525.0] ||  -> equal(intersection(symmetrization_of(intersection(power_class(complement(power_class(u))),complement(v))),union(union(image(element_relation,power_class(u)),v),complement(inverse(intersection(power_class(complement(power_class(u))),complement(v)))))),symmetric_difference(union(image(element_relation,power_class(u)),v),complement(inverse(intersection(power_class(complement(power_class(u))),complement(v))))))**.
% 299.85/300.48  249758[0:Rew:249197.0,247231.0] ||  -> equal(intersection(successor(intersection(power_class(complement(power_class(u))),complement(v))),union(union(image(element_relation,power_class(u)),v),complement(singleton(intersection(power_class(complement(power_class(u))),complement(v)))))),symmetric_difference(union(image(element_relation,power_class(u)),v),complement(singleton(intersection(power_class(complement(power_class(u))),complement(v))))))**.
% 299.85/300.48  267737[5:Rew:5337.2,267713.3] || member(cross_product(u,v),universal_class) member(singleton(singleton(singleton(apply(choice,cross_product(u,v))))),composition_function) -> equal(cross_product(u,v),identity_relation) equal(compose(singleton(apply(choice,cross_product(u,v))),first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))**.
% 299.85/300.48  35140[0:SpL:930.0,2599.1] || member(u,union(complement(symmetric_difference(v,w)),union(complement(intersection(v,w)),union(v,w)))) member(u,complement(symmetric_difference(complement(intersection(v,w)),union(v,w)))) -> member(u,symmetric_difference(complement(symmetric_difference(v,w)),union(complement(intersection(v,w)),union(v,w))))*.
% 299.85/300.48  34663[0:Res:2603.2,2612.0] || member(not_subclass_element(u,intersection(v,restrict(w,x,y))),cross_product(x,y))* member(not_subclass_element(u,intersection(v,restrict(w,x,y))),w)* member(not_subclass_element(u,intersection(v,restrict(w,x,y))),v)* -> subclass(u,intersection(v,restrict(w,x,y))).
% 299.85/300.48  34060[5:Rew:5338.1,34045.3] || member(ordered_pair(ordered_pair(second(regular(cross_product(u,v))),w),first(regular(cross_product(u,v)))),x)* member(ordered_pair(regular(cross_product(u,v)),w),cross_product(cross_product(universal_class,universal_class),universal_class)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(regular(cross_product(u,v)),w),rotate(x)).
% 299.85/300.48  34059[5:Rew:5338.1,34046.3] || member(ordered_pair(ordered_pair(second(regular(cross_product(u,v))),first(regular(cross_product(u,v)))),w),x)* member(ordered_pair(regular(cross_product(u,v)),w),cross_product(cross_product(universal_class,universal_class),universal_class)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(regular(cross_product(u,v)),w),flip(x)).
% 299.85/300.48  37547[5:Rew:5338.1,37537.1] || member(u,universal_class) member(regular(cross_product(v,w)),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(second(regular(cross_product(v,w))),first(regular(cross_product(v,w)))),u),x)* -> equal(cross_product(v,w),identity_relation) member(ordered_pair(regular(cross_product(v,w)),u),flip(x)).
% 299.85/300.48  37651[5:Rew:5338.1,37641.1] || member(u,universal_class) member(regular(cross_product(v,w)),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(second(regular(cross_product(v,w))),u),first(regular(cross_product(v,w)))),x)* -> equal(cross_product(v,w),identity_relation) member(ordered_pair(regular(cross_product(v,w)),u),rotate(x)).
% 299.85/300.48  39026[0:Res:144.2,3920.0] || member(u,domain_of(v)) equal(restrict(v,u,universal_class),least(intersection(w,rest_of(v)),x)) member(ordered_pair(u,least(intersection(w,rest_of(v)),x)),w)* member(u,x) subclass(x,y)* well_ordering(intersection(w,rest_of(v)),y)* -> .
% 299.85/300.48  84702[3:Res:119.1,3692.1] inductive(compose(restrict(u,v,v),restrict(u,v,v))) || transitive(u,v) well_ordering(w,restrict(u,v,v)) -> member(least(w,compose(restrict(u,v,v),restrict(u,v,v))),compose(restrict(u,v,v),restrict(u,v,v)))*.
% 299.85/300.48  38001[5:Rew:5337.2,37984.4] || member(cross_product(u,v),universal_class) equal(successor(first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v)))) member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class))* -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),successor_relation).
% 299.85/300.48  47661[0:Res:29726.0,60.0] || member(ordered_pair(u,not_subclass_element(complement(complement(image(v,image(w,singleton(u))))),x)),cross_product(universal_class,universal_class)) -> subclass(complement(complement(image(v,image(w,singleton(u))))),x) member(ordered_pair(u,not_subclass_element(complement(complement(image(v,image(w,singleton(u))))),x)),compose(v,w))*.
% 299.85/300.48  8315[0:Res:366.1,60.0] || member(ordered_pair(u,not_subclass_element(intersection(image(v,image(w,singleton(u))),x),y)),cross_product(universal_class,universal_class)) -> subclass(intersection(image(v,image(w,singleton(u))),x),y) member(ordered_pair(u,not_subclass_element(intersection(image(v,image(w,singleton(u))),x),y)),compose(v,w))*.
% 299.85/300.48  38855[0:SpL:647.0,3928.0] || member(ordered_pair(u,singleton(singleton(singleton(least(image(v,image(w,singleton(u))),x))))),compose(v,w))* member(singleton(least(image(v,image(w,singleton(u))),x)),x)* subclass(x,y)* well_ordering(image(v,image(w,singleton(u))),y)* -> .
% 299.85/300.48  8221[0:Res:356.1,60.0] || member(ordered_pair(u,not_subclass_element(intersection(v,image(w,image(x,singleton(u)))),y)),cross_product(universal_class,universal_class)) -> subclass(intersection(v,image(w,image(x,singleton(u)))),y) member(ordered_pair(u,not_subclass_element(intersection(v,image(w,image(x,singleton(u)))),y)),compose(w,x))*.
% 299.85/300.48  233408[5:Res:230404.0,3719.1] || member(ordered_pair(u,v),compose(w,x))* well_ordering(y,complement(singleton(image(w,image(x,singleton(u)))))) -> equal(singleton(image(w,image(x,singleton(u)))),identity_relation) member(least(y,image(w,image(x,singleton(u)))),image(w,image(x,singleton(u))))*.
% 299.85/300.48  257779[5:SpL:32674.2,74983.1] || equal(u,v) well_ordering(element_relation,image(choice,singleton(unordered_pair(v,u))))* subclass(v,image(choice,singleton(unordered_pair(v,u))))* -> equal(unordered_pair(v,u),identity_relation) equal(image(choice,singleton(unordered_pair(v,u))),universal_class) member(image(choice,singleton(unordered_pair(v,u))),universal_class).
% 299.85/300.48  259388[0:Res:30856.1,3926.0] || member(least(cross_product(u,intersection(v,w)),x),union(v,w)) member(y,u)* member(y,x)* subclass(x,z)* well_ordering(cross_product(u,intersection(v,w)),z)* -> member(least(cross_product(u,intersection(v,w)),x),symmetric_difference(v,w))*.
% 299.85/300.48  270526[0:SpR:251244.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(union(complement(power_class(u)),v),complement(w))),union(union(intersection(power_class(u),complement(v)),w),union(union(complement(power_class(u)),v),complement(w)))),symmetric_difference(union(intersection(power_class(u),complement(v)),w),union(union(complement(power_class(u)),v),complement(w))))**.
% 299.85/300.48  35088[0:SpR:941.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(union(u,v),union(complement(u),complement(v)))),union(complement(symmetric_difference(complement(u),complement(v))),union(union(u,v),union(complement(u),complement(v))))),symmetric_difference(complement(symmetric_difference(complement(u),complement(v))),union(union(u,v),union(complement(u),complement(v)))))**.
% 299.85/300.48  37996[5:SpL:5337.2,1043.0] || member(cross_product(u,v),universal_class) member(w,apply(choice,cross_product(u,v)))* -> equal(cross_product(u,v),identity_relation) equal(w,unordered_pair(first(apply(choice,cross_product(u,v))),singleton(second(apply(choice,cross_product(u,v))))))* equal(w,singleton(first(apply(choice,cross_product(u,v))))).
% 299.85/300.48  117924[5:Res:5343.1,60.0] || member(ordered_pair(u,regular(restrict(image(v,image(w,singleton(u))),x,y))),cross_product(universal_class,universal_class)) -> equal(restrict(image(v,image(w,singleton(u))),x,y),identity_relation) member(ordered_pair(u,regular(restrict(image(v,image(w,singleton(u))),x,y))),compose(v,w))*.
% 299.85/300.48  34154[0:Res:3654.2,60.0] || member(ordered_pair(u,v),cross_product(universal_class,universal_class)) subclass(composition_function,image(w,image(x,singleton(y)))) member(ordered_pair(y,ordered_pair(u,ordered_pair(v,compose(u,v)))),cross_product(universal_class,universal_class)) -> member(ordered_pair(y,ordered_pair(u,ordered_pair(v,compose(u,v)))),compose(w,x))*.
% 299.85/300.48  204177[15:Rew:191728.0,204158.2,191728.0,204158.1,191728.0,204158.0] || member(image(u,image(v,identity_relation)),universal_class) member(ordered_pair(range_of(identity_relation),apply(choice,image(u,image(v,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(u,image(v,identity_relation)),identity_relation) member(ordered_pair(range_of(identity_relation),apply(choice,image(u,image(v,identity_relation)))),compose(u,v))*.
% 299.85/300.48  36357[0:SpR:2089.1,3743.3] || member(second(not_subclass_element(cross_product(u,v),w)),universal_class)* member(first(not_subclass_element(cross_product(u,v),w)),universal_class) equal(successor(first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w))) -> subclass(cross_product(u,v),w) member(not_subclass_element(cross_product(u,v),w),successor_relation).
% 299.85/300.48  39014[0:Res:943.1,3920.0] || member(ordered_pair(u,least(intersection(v,complement(intersection(w,x))),y)),symmetric_difference(w,x))* member(ordered_pair(u,least(intersection(v,complement(intersection(w,x))),y)),v)* member(u,y) subclass(y,z)* well_ordering(intersection(v,complement(intersection(w,x))),z)* -> .
% 299.85/300.48  36786[0:Res:2603.2,3926.0] || member(least(cross_product(u,restrict(v,w,x)),y),cross_product(w,x))* member(least(cross_product(u,restrict(v,w,x)),y),v)* member(z,u)* member(z,y)* subclass(y,x1)* well_ordering(cross_product(u,restrict(v,w,x)),x1)* -> .
% 299.85/300.48  38002[5:Rew:5337.2,37995.4] || member(cross_product(u,v),universal_class) equal(compose(w,first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))** member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class))* -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),compose_class(w)).
% 299.85/300.48  209691[15:MRR:39956.4,209687.0] single_valued_class(restrict(u,v,singleton(w))) || subclass(range_of(restrict(u,v,singleton(w))),domain_of(segment(u,v,w)))* equal(cross_product(domain_of(segment(u,v,w)),domain_of(segment(u,v,w))),segment(u,v,w)) equal(restrict(u,v,singleton(w)),identity_relation) -> .
% 299.85/300.48  210068[17:Rew:209320.1,209818.3,209320.1,209818.2,209320.1,209818.1] function(u) || member(image(v,image(w,identity_relation)),universal_class) member(ordered_pair(u,apply(choice,image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(u,apply(choice,image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  254741[0:Res:249285.1,3926.0] || member(least(cross_product(u,image(element_relation,power_class(v))),w),universal_class) member(x,u)* member(x,w)* subclass(w,y)* well_ordering(cross_product(u,image(element_relation,power_class(v))),y)* -> member(least(cross_product(u,image(element_relation,power_class(v))),w),power_class(complement(power_class(v))))*.
% 299.85/300.48  254777[0:MRR:254726.0,641.0] || member(ordered_pair(u,least(intersection(v,image(element_relation,power_class(w))),x)),v)* member(u,x) subclass(x,y)* well_ordering(intersection(v,image(element_relation,power_class(w))),y)* -> member(ordered_pair(u,least(intersection(v,image(element_relation,power_class(w))),x)),power_class(complement(power_class(w))))*.
% 299.85/300.48  270796[0:Rew:251244.0,270681.4] || member(u,universal_class) subclass(union(intersection(power_class(v),complement(w)),x),y)* well_ordering(z,y)* -> member(u,intersection(union(complement(power_class(v)),w),complement(x)))* member(least(z,union(intersection(power_class(v),complement(w)),x)),union(intersection(power_class(v),complement(w)),x))*.
% 299.85/300.48  34178[0:Res:3654.2,38.1] || member(ordered_pair(ordered_pair(u,v),w),cross_product(universal_class,universal_class)) subclass(composition_function,cross_product(cross_product(universal_class,universal_class),universal_class)) member(ordered_pair(ordered_pair(v,u),ordered_pair(w,compose(ordered_pair(u,v),w))),x) -> member(ordered_pair(ordered_pair(u,v),ordered_pair(w,compose(ordered_pair(u,v),w))),flip(x))*.
% 299.85/300.48  34179[0:Res:3654.2,35.1] || member(ordered_pair(ordered_pair(u,v),w),cross_product(universal_class,universal_class)) subclass(composition_function,cross_product(cross_product(universal_class,universal_class),universal_class)) member(ordered_pair(ordered_pair(v,ordered_pair(w,compose(ordered_pair(u,v),w))),u),x) -> member(ordered_pair(ordered_pair(u,v),ordered_pair(w,compose(ordered_pair(u,v),w))),rotate(x))*.
% 299.85/300.48  35238[0:Rew:930.0,35141.2,930.0,35141.1] || member(not_subclass_element(u,symmetric_difference(complement(intersection(v,w)),union(v,w))),union(complement(intersection(v,w)),union(v,w)))* member(not_subclass_element(u,symmetric_difference(complement(intersection(v,w)),union(v,w))),complement(symmetric_difference(v,w))) -> subclass(u,symmetric_difference(complement(intersection(v,w)),union(v,w))).
% 299.85/300.48  39064[0:Rew:941.0,38988.4,941.0,38988.1] || member(ordered_pair(u,least(symmetric_difference(complement(v),complement(w)),x)),union(complement(v),complement(w)))* member(ordered_pair(u,least(symmetric_difference(complement(v),complement(w)),x)),union(v,w)) member(u,x) subclass(x,y)* well_ordering(symmetric_difference(complement(v),complement(w)),y)* -> .
% 299.85/300.48  39061[0:MRR:39030.1,29469.1] || member(least(intersection(u,compose_class(v)),w),universal_class) equal(compose(v,x),least(intersection(u,compose_class(v)),w)) member(ordered_pair(x,least(intersection(u,compose_class(v)),w)),u)* member(x,w) subclass(w,y)* well_ordering(intersection(u,compose_class(v)),y)* -> .
% 299.85/300.48  37960[5:SpR:5337.2,144.2] || member(cross_product(u,v),universal_class) member(first(apply(choice,cross_product(u,v))),domain_of(w)) equal(restrict(w,first(apply(choice,cross_product(u,v))),universal_class),second(apply(choice,cross_product(u,v))))** -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),rest_of(w)).
% 299.85/300.48  49015[3:Res:28061.2,60.0] inductive(image(u,image(v,singleton(w)))) || well_ordering(x,image(u,image(v,singleton(w)))) member(ordered_pair(w,least(x,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class)) -> member(ordered_pair(w,least(x,image(u,image(v,singleton(w))))),compose(u,v))*.
% 299.85/300.48  48819[5:Res:5403.2,60.0] || well_ordering(u,image(v,image(w,singleton(x)))) member(ordered_pair(x,least(u,image(v,image(w,singleton(x))))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,singleton(x))),identity_relation) member(ordered_pair(x,least(u,image(v,image(w,singleton(x))))),compose(v,w))*.
% 299.85/300.48  201489[5:SpL:5380.1,74983.1] || well_ordering(element_relation,image(choice,singleton(unordered_pair(u,v))))* subclass(v,image(choice,singleton(unordered_pair(u,v))))* -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),u) equal(image(choice,singleton(unordered_pair(u,v))),universal_class) member(image(choice,singleton(unordered_pair(u,v))),universal_class).
% 299.85/300.48  201488[5:SpL:5380.2,74983.1] || well_ordering(element_relation,image(choice,singleton(unordered_pair(u,v))))* subclass(u,image(choice,singleton(unordered_pair(u,v))))* -> equal(unordered_pair(u,v),identity_relation) equal(apply(choice,unordered_pair(u,v)),v) equal(image(choice,singleton(unordered_pair(u,v))),universal_class) member(image(choice,singleton(unordered_pair(u,v))),universal_class).
% 299.85/300.48  201991[5:Res:5432.3,5490.0] || section(u,v,w) well_ordering(x,v) subclass(domain_of(restrict(u,w,v)),y)* well_ordering(omega,y) -> equal(domain_of(restrict(u,w,v)),identity_relation) equal(integer_of(ordered_pair(least(x,domain_of(restrict(u,w,v))),least(omega,domain_of(restrict(u,w,v))))),identity_relation)**.
% 299.85/300.48  204182[15:Rew:191663.0,204160.2,191663.0,204160.1,191663.0,204160.0] || member(image(u,image(v,identity_relation)),universal_class) member(ordered_pair(sum_class(range_of(identity_relation)),apply(choice,image(u,image(v,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(u,image(v,identity_relation)),identity_relation) member(ordered_pair(sum_class(range_of(identity_relation)),apply(choice,image(u,image(v,identity_relation)))),compose(u,v))*.
% 299.85/300.48  232345[0:Res:601.1,60.0] || member(ordered_pair(u,not_subclass_element(restrict(image(v,image(w,singleton(u))),x,y),z)),cross_product(universal_class,universal_class)) -> subclass(restrict(image(v,image(w,singleton(u))),x,y),z) member(ordered_pair(u,not_subclass_element(restrict(image(v,image(w,singleton(u))),x,y),z)),compose(v,w))*.
% 299.85/300.48  235947[5:Res:5462.2,3920.0] || subclass(omega,symmetric_difference(u,v)) member(ordered_pair(w,least(intersection(x,union(u,v)),y)),x)* member(w,y) subclass(y,z)* well_ordering(intersection(x,union(u,v)),z)* -> equal(integer_of(ordered_pair(w,least(intersection(x,union(u,v)),y))),identity_relation).
% 299.85/300.48  247178[0:SpR:21037.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(successor(u),union(complement(u),complement(singleton(u))))),union(complement(symmetric_difference(complement(u),complement(singleton(u)))),union(successor(u),union(complement(u),complement(singleton(u)))))),symmetric_difference(complement(symmetric_difference(complement(u),complement(singleton(u)))),union(successor(u),union(complement(u),complement(singleton(u))))))**.
% 299.85/300.48  248480[0:SpR:21036.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(symmetrization_of(u),union(complement(u),complement(inverse(u))))),union(complement(symmetric_difference(complement(u),complement(inverse(u)))),union(symmetrization_of(u),union(complement(u),complement(inverse(u)))))),symmetric_difference(complement(symmetric_difference(complement(u),complement(inverse(u)))),union(symmetrization_of(u),union(complement(u),complement(inverse(u))))))**.
% 299.85/300.48  38756[0:SpL:598.0,3807.1] || transitive(cross_product(u,v),w) subclass(restrict(cross_product(w,w),u,v),compose(restrict(cross_product(w,w),u,v),restrict(cross_product(w,w),u,v)))* -> equal(compose(restrict(cross_product(u,v),w,w),restrict(cross_product(u,v),w,w)),restrict(cross_product(u,v),w,w)).
% 299.85/300.48  37548[0:Rew:2089.1,37538.1] || member(u,universal_class) member(not_subclass_element(cross_product(v,w),x),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(second(not_subclass_element(cross_product(v,w),x)),first(not_subclass_element(cross_product(v,w),x))),u),y)* -> subclass(cross_product(v,w),x) member(ordered_pair(not_subclass_element(cross_product(v,w),x),u),flip(y)).
% 299.85/300.48  37652[0:Rew:2089.1,37642.1] || member(u,universal_class) member(not_subclass_element(cross_product(v,w),x),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(second(not_subclass_element(cross_product(v,w),x)),u),first(not_subclass_element(cross_product(v,w),x))),y)* -> subclass(cross_product(v,w),x) member(ordered_pair(not_subclass_element(cross_product(v,w),x),u),rotate(y)).
% 299.85/300.48  36405[0:Rew:2089.1,36390.3] || member(ordered_pair(ordered_pair(second(not_subclass_element(cross_product(u,v),w)),x),first(not_subclass_element(cross_product(u,v),w))),y)* member(ordered_pair(not_subclass_element(cross_product(u,v),w),x),cross_product(cross_product(universal_class,universal_class),universal_class)) -> subclass(cross_product(u,v),w) member(ordered_pair(not_subclass_element(cross_product(u,v),w),x),rotate(y)).
% 299.85/300.48  36404[0:Rew:2089.1,36391.3] || member(ordered_pair(ordered_pair(second(not_subclass_element(cross_product(u,v),w)),first(not_subclass_element(cross_product(u,v),w))),x),y)* member(ordered_pair(not_subclass_element(cross_product(u,v),w),x),cross_product(cross_product(universal_class,universal_class),universal_class)) -> subclass(cross_product(u,v),w) member(ordered_pair(not_subclass_element(cross_product(u,v),w),x),flip(y)).
% 299.85/300.48  36358[0:SpR:2089.1,3892.3] || member(second(not_subclass_element(cross_product(u,v),w)),universal_class) member(first(not_subclass_element(cross_product(u,v),w)),universal_class) equal(compose(x,first(not_subclass_element(cross_product(u,v),w))),second(not_subclass_element(cross_product(u,v),w)))** -> subclass(cross_product(u,v),w) member(not_subclass_element(cross_product(u,v),w),compose_class(x)).
% 299.85/300.48  39068[0:MRR:39016.0,641.0] || member(ordered_pair(u,least(intersection(v,intersection(complement(w),complement(x))),y)),v)* member(u,y) subclass(y,z)* well_ordering(intersection(v,intersection(complement(w),complement(x))),z)* -> member(ordered_pair(u,least(intersection(v,intersection(complement(w),complement(x))),y)),union(w,x))*.
% 299.85/300.48  36785[0:Res:689.1,3926.0] || member(least(cross_product(u,intersection(complement(v),complement(w))),x),universal_class) member(y,u)* member(y,x)* subclass(x,z)* well_ordering(cross_product(u,intersection(complement(v),complement(w))),z)* -> member(least(cross_product(u,intersection(complement(v),complement(w))),x),union(v,w))*.
% 299.85/300.48  39472[5:SpR:598.0,5475.2] || transitive(cross_product(u,v),w) well_ordering(x,restrict(cross_product(u,v),w,w)) -> equal(segment(x,compose(restrict(cross_product(w,w),u,v),restrict(cross_product(w,w),u,v)),least(x,compose(restrict(cross_product(w,w),u,v),restrict(cross_product(w,w),u,v)))),identity_relation)**.
% 299.85/300.48  40036[5:Res:5476.3,2.0] || transitive(u,v) well_ordering(w,restrict(u,v,v)) subclass(compose(restrict(u,v,v),restrict(u,v,v)),x) -> equal(compose(restrict(u,v,v),restrict(u,v,v)),identity_relation) member(least(w,compose(restrict(u,v,v),restrict(u,v,v))),x)*.
% 299.85/300.48  209692[15:MRR:39957.4,209687.0] single_valued_class(restrict(u,v,singleton(w))) || subclass(range_of(restrict(u,v,singleton(w))),domain_of(segment(u,v,w)))* equal(cross_product(domain_of(segment(u,v,w)),domain_of(segment(u,v,w))),segment(u,v,w)) equal(restrict(u,v,singleton(w)),cross_product(universal_class,universal_class)) -> .
% 299.85/300.48  210570[17:Rew:210378.1,210457.3,210378.1,210457.2,210378.1,210457.1] one_to_one(u) || member(image(v,image(w,identity_relation)),universal_class) member(ordered_pair(inverse(u),apply(choice,image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(inverse(u),apply(choice,image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  235716[0:Res:20387.1,3920.0] || subclass(rest_relation,rotate(u)) member(ordered_pair(ordered_pair(v,rest_of(ordered_pair(least(intersection(w,u),x),v))),least(intersection(w,u),x)),w)* member(ordered_pair(v,rest_of(ordered_pair(least(intersection(w,u),x),v))),x) subclass(x,y)* well_ordering(intersection(w,u),y)* -> .
% 299.85/300.48  237359[5:Res:5580.1,60.0] || member(ordered_pair(u,regular(intersection(v,intersection(w,image(x,image(y,singleton(u))))))),cross_product(universal_class,universal_class)) -> equal(intersection(v,intersection(w,image(x,image(y,singleton(u))))),identity_relation) member(ordered_pair(u,regular(intersection(v,intersection(w,image(x,image(y,singleton(u))))))),compose(x,y))*.
% 299.85/300.48  237952[5:Res:5581.1,60.0] || member(ordered_pair(u,regular(intersection(v,intersection(image(w,image(x,singleton(u))),y)))),cross_product(universal_class,universal_class)) -> equal(intersection(v,intersection(image(w,image(x,singleton(u))),y)),identity_relation) member(ordered_pair(u,regular(intersection(v,intersection(image(w,image(x,singleton(u))),y)))),compose(w,x))*.
% 299.85/300.48  238748[5:Res:5605.1,60.0] || member(ordered_pair(u,regular(intersection(intersection(v,image(w,image(x,singleton(u)))),y))),cross_product(universal_class,universal_class)) -> equal(intersection(intersection(v,image(w,image(x,singleton(u)))),y),identity_relation) member(ordered_pair(u,regular(intersection(intersection(v,image(w,image(x,singleton(u)))),y))),compose(w,x))*.
% 299.85/300.48  239542[5:Res:5606.1,60.0] || member(ordered_pair(u,regular(intersection(intersection(image(v,image(w,singleton(u))),x),y))),cross_product(universal_class,universal_class)) -> equal(intersection(intersection(image(v,image(w,singleton(u))),x),y),identity_relation) member(ordered_pair(u,regular(intersection(intersection(image(v,image(w,singleton(u))),x),y))),compose(v,w))*.
% 299.85/300.48  258073[5:Res:8059.2,60.0] || well_ordering(u,universal_class) member(ordered_pair(v,least(u,intersection(image(w,image(x,singleton(v))),y))),cross_product(universal_class,universal_class)) -> equal(intersection(image(w,image(x,singleton(v))),y),identity_relation) member(ordered_pair(v,least(u,intersection(image(w,image(x,singleton(v))),y))),compose(w,x))*.
% 299.85/300.48  258267[5:Res:8060.2,60.0] || well_ordering(u,universal_class) member(ordered_pair(v,least(u,intersection(w,image(x,image(y,singleton(v)))))),cross_product(universal_class,universal_class)) -> equal(intersection(w,image(x,image(y,singleton(v)))),identity_relation) member(ordered_pair(v,least(u,intersection(w,image(x,image(y,singleton(v)))))),compose(x,y))*.
% 299.85/300.48  265908[0:SpR:252738.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(image(element_relation,power_class(u)),complement(power_class(v)))),union(complement(intersection(image(element_relation,power_class(u)),complement(power_class(v)))),complement(intersection(power_class(complement(power_class(u))),power_class(v))))),symmetric_difference(complement(intersection(image(element_relation,power_class(u)),complement(power_class(v)))),complement(intersection(power_class(complement(power_class(u))),power_class(v)))))**.
% 299.85/300.48  266248[0:SpR:253065.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(complement(power_class(u)),image(element_relation,power_class(v)))),union(complement(intersection(complement(power_class(u)),image(element_relation,power_class(v)))),complement(intersection(power_class(u),power_class(complement(power_class(v))))))),symmetric_difference(complement(intersection(complement(power_class(u)),image(element_relation,power_class(v)))),complement(intersection(power_class(u),power_class(complement(power_class(v)))))))**.
% 299.85/300.48  266811[5:Res:5432.3,123566.0] || section(u,v,w) well_ordering(x,v) -> equal(domain_of(restrict(u,w,v)),identity_relation) equal(ordered_pair(first(ordered_pair(least(x,domain_of(restrict(u,w,v))),omega)),second(ordered_pair(least(x,domain_of(restrict(u,w,v))),omega))),ordered_pair(least(x,domain_of(restrict(u,w,v))),omega))**.
% 299.85/300.48  270499[0:SpR:251244.0,21036.0] ||  -> equal(intersection(symmetrization_of(intersection(union(complement(power_class(u)),v),complement(w))),union(union(intersection(power_class(u),complement(v)),w),complement(inverse(intersection(union(complement(power_class(u)),v),complement(w)))))),symmetric_difference(union(intersection(power_class(u),complement(v)),w),complement(inverse(intersection(union(complement(power_class(u)),v),complement(w))))))**.
% 299.85/300.48  270498[0:SpR:251244.0,21037.0] ||  -> equal(intersection(successor(intersection(union(complement(power_class(u)),v),complement(w))),union(union(intersection(power_class(u),complement(v)),w),complement(singleton(intersection(union(complement(power_class(u)),v),complement(w)))))),symmetric_difference(union(intersection(power_class(u),complement(v)),w),complement(singleton(intersection(union(complement(power_class(u)),v),complement(w))))))**.
% 299.85/300.48  39066[0:Rew:939.0,38980.4,939.0,38980.1] || member(ordered_pair(u,least(symmetric_difference(cross_product(v,w),x),y)),union(cross_product(v,w),x))* member(ordered_pair(u,least(symmetric_difference(cross_product(v,w),x),y)),complement(restrict(x,v,w))) member(u,y) subclass(y,z)* well_ordering(symmetric_difference(cross_product(v,w),x),z)* -> .
% 299.85/300.48  39067[0:Rew:938.0,38979.4,938.0,38979.1] || member(ordered_pair(u,least(symmetric_difference(v,cross_product(w,x)),y)),union(v,cross_product(w,x)))* member(ordered_pair(u,least(symmetric_difference(v,cross_product(w,x)),y)),complement(restrict(v,w,x))) member(u,y) subclass(y,z)* well_ordering(symmetric_difference(v,cross_product(w,x)),z)* -> .
% 299.85/300.48  121940[5:Rew:26481.1,121905.3,26481.1,121905.1,26481.1,121905.0] || member(image(u,range_of(identity_relation)),universal_class) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),cross_product(universal_class,universal_class)) -> equal(cross_product(singleton(v),universal_class),identity_relation) equal(image(u,range_of(identity_relation)),identity_relation) member(ordered_pair(v,apply(choice,image(u,range_of(identity_relation)))),compose(u,regular(cross_product(singleton(v),universal_class))))*.
% 299.85/300.48  204178[5:Rew:200704.1,204156.4,200704.1,204156.2,200704.1,204156.1] || equal(u,universal_class) member(image(v,image(w,identity_relation)),universal_class) member(ordered_pair(u,apply(choice,image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> inductive(u) equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(u,apply(choice,image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  204180[17:Rew:196425.0,204162.3,196425.0,204162.1,196425.0,204162.0] || member(image(u,image(v,identity_relation)),universal_class) member(ordered_pair(inverse(w),apply(choice,image(u,image(v,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(range_of(w),identity_relation) equal(image(u,image(v,identity_relation)),identity_relation) member(ordered_pair(inverse(w),apply(choice,image(u,image(v,identity_relation)))),compose(u,v))*.
% 299.85/300.48  204181[12:Rew:192336.1,204159.3,192336.1,204159.2,192336.1,204159.1] || member(u,universal_class) member(image(v,image(w,identity_relation)),universal_class) member(ordered_pair(range_of(u),apply(choice,image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(range_of(u),apply(choice,image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  270314[0:Rew:251233.0,270227.4,251233.0,270227.1] || member(ordered_pair(u,least(symmetric_difference(power_class(v),complement(w)),x)),union(power_class(v),complement(w))) member(ordered_pair(u,least(symmetric_difference(power_class(v),complement(w)),x)),union(complement(power_class(v)),w))* member(u,x) subclass(x,y)* well_ordering(symmetric_difference(power_class(v),complement(w)),y)* -> .
% 299.85/300.48  37806[5:SpL:5389.1,3925.1] || asymmetric(cross_product(u,v),universal_class) member(universal_class,domain_of(restrict(inverse(cross_product(u,v)),u,v))) equal(least(rest_of(restrict(inverse(cross_product(u,v)),u,v)),w),identity_relation)** member(universal_class,w) subclass(w,x)* well_ordering(rest_of(restrict(inverse(cross_product(u,v)),u,v)),x)* -> .
% 299.85/300.48  247337[0:Rew:21037.0,247287.4,21037.0,247287.1] || member(ordered_pair(u,least(symmetric_difference(complement(v),complement(singleton(v))),w)),union(complement(v),complement(singleton(v))))* member(ordered_pair(u,least(symmetric_difference(complement(v),complement(singleton(v))),w)),successor(v)) member(u,w) subclass(w,x)* well_ordering(symmetric_difference(complement(v),complement(singleton(v))),x)* -> .
% 299.85/300.48  248616[0:Rew:21036.0,248577.4,21036.0,248577.1] || member(ordered_pair(u,least(symmetric_difference(complement(v),complement(inverse(v))),w)),union(complement(v),complement(inverse(v))))* member(ordered_pair(u,least(symmetric_difference(complement(v),complement(inverse(v))),w)),symmetrization_of(v)) member(u,w) subclass(w,x)* well_ordering(symmetric_difference(complement(v),complement(inverse(v))),x)* -> .
% 299.85/300.48  260911[0:Res:8216.1,60.0] || member(ordered_pair(u,not_subclass_element(intersection(v,intersection(w,image(x,image(y,singleton(u))))),z)),cross_product(universal_class,universal_class)) -> subclass(intersection(v,intersection(w,image(x,image(y,singleton(u))))),z) member(ordered_pair(u,not_subclass_element(intersection(v,intersection(w,image(x,image(y,singleton(u))))),z)),compose(x,y))*.
% 299.85/300.48  261481[0:Res:8215.1,60.0] || member(ordered_pair(u,not_subclass_element(intersection(v,intersection(image(w,image(x,singleton(u))),y)),z)),cross_product(universal_class,universal_class)) -> subclass(intersection(v,intersection(image(w,image(x,singleton(u))),y)),z) member(ordered_pair(u,not_subclass_element(intersection(v,intersection(image(w,image(x,singleton(u))),y)),z)),compose(w,x))*.
% 299.85/300.48  262385[0:Res:8310.1,60.0] || member(ordered_pair(u,not_subclass_element(intersection(intersection(v,image(w,image(x,singleton(u)))),y),z)),cross_product(universal_class,universal_class)) -> subclass(intersection(intersection(v,image(w,image(x,singleton(u)))),y),z) member(ordered_pair(u,not_subclass_element(intersection(intersection(v,image(w,image(x,singleton(u)))),y),z)),compose(w,x))*.
% 299.85/300.48  263076[0:Res:8309.1,60.0] || member(ordered_pair(u,not_subclass_element(intersection(intersection(image(v,image(w,singleton(u))),x),y),z)),cross_product(universal_class,universal_class)) -> subclass(intersection(intersection(image(v,image(w,singleton(u))),x),y),z) member(ordered_pair(u,not_subclass_element(intersection(intersection(image(v,image(w,singleton(u))),x),y),z)),compose(v,w))*.
% 299.85/300.48  35080[0:SpR:938.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(complement(restrict(u,v,w)),union(u,cross_product(v,w)))),union(complement(symmetric_difference(u,cross_product(v,w))),union(complement(restrict(u,v,w)),union(u,cross_product(v,w))))),symmetric_difference(complement(symmetric_difference(u,cross_product(v,w))),union(complement(restrict(u,v,w)),union(u,cross_product(v,w)))))**.
% 299.85/300.48  35081[0:SpR:939.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(complement(restrict(u,v,w)),union(cross_product(v,w),u))),union(complement(symmetric_difference(cross_product(v,w),u)),union(complement(restrict(u,v,w)),union(cross_product(v,w),u)))),symmetric_difference(complement(symmetric_difference(cross_product(v,w),u)),union(complement(restrict(u,v,w)),union(cross_product(v,w),u))))**.
% 299.85/300.48  33650[5:Res:5427.3,60.0] inductive(image(u,singleton(v))) || well_ordering(w,image(u,singleton(v))) member(ordered_pair(v,least(w,image(successor_relation,image(u,singleton(v))))),cross_product(universal_class,universal_class)) -> equal(image(successor_relation,image(u,singleton(v))),identity_relation) member(ordered_pair(v,least(w,image(successor_relation,image(u,singleton(v))))),compose(successor_relation,u))*.
% 299.85/300.48  40097[5:Res:5508.3,2.0] || member(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class))* subclass(compose(u,v),x) -> equal(image(u,image(v,singleton(w))),identity_relation) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),x)*.
% 299.85/300.48  202828[5:Res:5507.2,5490.0] || member(ordered_pair(u,regular(image(v,image(w,singleton(u))))),cross_product(universal_class,universal_class)) subclass(compose(v,w),x)* well_ordering(omega,x) -> equal(image(v,image(w,singleton(u))),identity_relation) equal(integer_of(ordered_pair(ordered_pair(u,regular(image(v,image(w,singleton(u))))),least(omega,compose(v,w)))),identity_relation)**.
% 299.85/300.48  204183[12:Rew:191620.1,204161.3,191620.1,204161.2,191620.1,204161.1] || member(u,universal_class) member(image(v,image(w,identity_relation)),universal_class) member(ordered_pair(sum_class(range_of(u)),apply(choice,image(v,image(w,identity_relation)))),cross_product(universal_class,universal_class)) -> equal(image(v,image(w,identity_relation)),identity_relation) member(ordered_pair(sum_class(range_of(u)),apply(choice,image(v,image(w,identity_relation)))),compose(v,w))*.
% 299.85/300.48  270093[0:SpR:251233.0,930.0] ||  -> equal(intersection(complement(symmetric_difference(union(complement(power_class(u)),v),union(power_class(u),complement(v)))),union(complement(symmetric_difference(power_class(u),complement(v))),union(union(complement(power_class(u)),v),union(power_class(u),complement(v))))),symmetric_difference(complement(symmetric_difference(power_class(u),complement(v))),union(union(complement(power_class(u)),v),union(power_class(u),complement(v)))))**.
% 299.85/300.48  37850[5:Res:5432.3,3336.0] || section(u,v,w) well_ordering(x,v) member(y,z)* -> equal(domain_of(restrict(u,w,v)),identity_relation) equal(ordered_pair(first(ordered_pair(y,least(x,domain_of(restrict(u,w,v))))),second(ordered_pair(y,least(x,domain_of(restrict(u,w,v)))))),ordered_pair(y,least(x,domain_of(restrict(u,w,v)))))**.
% 299.85/300.48  37954[5:SpR:5337.2,3743.3] || member(cross_product(u,v),universal_class) member(second(apply(choice,cross_product(u,v))),universal_class)* member(first(apply(choice,cross_product(u,v))),universal_class) equal(successor(first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v)))) -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),successor_relation).
% 299.85/300.48  40096[5:Res:5508.3,126.0] || member(image(u,image(v,singleton(w))),universal_class) member(ordered_pair(w,apply(choice,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class))* subclass(compose(u,v),x)* well_ordering(y,x)* -> equal(image(u,image(v,singleton(w))),identity_relation) member(least(y,compose(u,v)),compose(u,v))*.
% 299.85/300.48  265528[5:Res:28995.3,60.0] function(image(u,image(v,singleton(w)))) || member(cross_product(universal_class,universal_class),universal_class) member(ordered_pair(w,least(element_relation,image(u,image(v,singleton(w))))),cross_product(universal_class,universal_class)) -> equal(image(u,image(v,singleton(w))),identity_relation) member(ordered_pair(w,least(element_relation,image(u,image(v,singleton(w))))),compose(u,v))*.
% 299.85/300.48  39015[0:Res:24.2,3920.0] || member(ordered_pair(u,least(intersection(v,intersection(w,x)),y)),x)* member(ordered_pair(u,least(intersection(v,intersection(w,x)),y)),w)* member(ordered_pair(u,least(intersection(v,intersection(w,x)),y)),v)* member(u,y) subclass(y,z)* well_ordering(intersection(v,intersection(w,x)),z)* -> .
% 299.85/300.48  37856[5:Res:5432.3,3926.0] || section(u,v,w) well_ordering(cross_product(x,domain_of(restrict(u,w,v))),v)* member(y,x)* member(y,domain_of(restrict(u,w,v)))* subclass(domain_of(restrict(u,w,v)),z) well_ordering(cross_product(x,domain_of(restrict(u,w,v))),z)* -> equal(domain_of(restrict(u,w,v)),identity_relation).
% 299.85/300.48  37493[0:Rew:930.0,37420.4] || member(u,union(complement(intersection(v,w)),union(v,w)))* member(u,complement(symmetric_difference(v,w))) subclass(symmetric_difference(complement(intersection(v,w)),union(v,w)),x)* well_ordering(y,x)* -> member(least(y,symmetric_difference(complement(intersection(v,w)),union(v,w))),symmetric_difference(complement(intersection(v,w)),union(v,w)))*.
% 299.85/300.48  203781[5:Res:4017.2,5490.0] || member(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),cross_product(universal_class,universal_class)) subclass(compose(v,w),y)* well_ordering(omega,y) -> subclass(image(v,image(w,singleton(u))),x) equal(integer_of(ordered_pair(ordered_pair(u,not_subclass_element(image(v,image(w,singleton(u))),x)),least(omega,compose(v,w)))),identity_relation)**.
% 299.85/300.48  37955[5:SpR:5337.2,3892.3] || member(cross_product(u,v),universal_class) member(second(apply(choice,cross_product(u,v))),universal_class) member(first(apply(choice,cross_product(u,v))),universal_class) equal(compose(w,first(apply(choice,cross_product(u,v)))),second(apply(choice,cross_product(u,v))))** -> equal(cross_product(u,v),identity_relation) member(apply(choice,cross_product(u,v)),compose_class(w)).
% 299.85/300.48  38005[5:Rew:5337.2,37959.2] || member(cross_product(u,v),universal_class) member(w,universal_class) member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(second(apply(choice,cross_product(u,v))),w),first(apply(choice,cross_product(u,v)))),x)* -> equal(cross_product(u,v),identity_relation) member(ordered_pair(apply(choice,cross_product(u,v)),w),rotate(x)).
% 299.85/300.48  38004[5:Rew:5337.2,37989.4] || member(cross_product(u,v),universal_class) member(ordered_pair(ordered_pair(second(apply(choice,cross_product(u,v))),w),first(apply(choice,cross_product(u,v)))),x)* member(ordered_pair(apply(choice,cross_product(u,v)),w),cross_product(cross_product(universal_class,universal_class),universal_class)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(apply(choice,cross_product(u,v)),w),rotate(x)).
% 299.85/300.48  38006[5:Rew:5337.2,37958.2] || member(cross_product(u,v),universal_class) member(w,universal_class) member(apply(choice,cross_product(u,v)),cross_product(universal_class,universal_class)) member(ordered_pair(ordered_pair(second(apply(choice,cross_product(u,v))),first(apply(choice,cross_product(u,v)))),w),x)* -> equal(cross_product(u,v),identity_relation) member(ordered_pair(apply(choice,cross_product(u,v)),w),flip(x)).
% 299.85/300.48  38003[5:Rew:5337.2,37990.4] || member(cross_product(u,v),universal_class) member(ordered_pair(ordered_pair(second(apply(choice,cross_product(u,v))),first(apply(choice,cross_product(u,v)))),w),x)* member(ordered_pair(apply(choice,cross_product(u,v)),w),cross_product(cross_product(universal_class,universal_class),universal_class)) -> equal(cross_product(u,v),identity_relation) member(ordered_pair(apply(choice,cross_product(u,v)),w),flip(x)).
% 299.85/300.48  39033[0:Res:59.1,3920.0] || member(ordered_pair(u,ordered_pair(v,least(intersection(w,image(x,image(y,singleton(u)))),z))),compose(x,y))* member(ordered_pair(v,least(intersection(w,image(x,image(y,singleton(u)))),z)),w)* member(v,z) subclass(z,x1)* well_ordering(intersection(w,image(x,image(y,singleton(u)))),x1)* -> .
% 299.85/300.48  30613[5:Res:5330.2,60.0] || member(intersection(u,image(v,image(w,singleton(x)))),universal_class) member(ordered_pair(x,apply(choice,intersection(u,image(v,image(w,singleton(x)))))),cross_product(universal_class,universal_class)) -> equal(intersection(u,image(v,image(w,singleton(x)))),identity_relation) member(ordered_pair(x,apply(choice,intersection(u,image(v,image(w,singleton(x)))))),compose(v,w))*.
% 299.85/300.48  30719[5:Res:5331.2,60.0] || member(intersection(image(u,image(v,singleton(w))),x),universal_class) member(ordered_pair(w,apply(choice,intersection(image(u,image(v,singleton(w))),x))),cross_product(universal_class,universal_class)) -> equal(intersection(image(u,image(v,singleton(w))),x),identity_relation) member(ordered_pair(w,apply(choice,intersection(image(u,image(v,singleton(w))),x))),compose(u,v))*.
% 299.85/300.48  259369[0:Res:30856.1,3920.0] || member(ordered_pair(u,least(intersection(v,intersection(w,x)),y)),union(w,x)) member(ordered_pair(u,least(intersection(v,intersection(w,x)),y)),v)* member(u,y) subclass(y,z)* well_ordering(intersection(v,intersection(w,x)),z)* -> member(ordered_pair(u,least(intersection(v,intersection(w,x)),y)),Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------