%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM098-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:42:15 PM UTC 2026
% Result : Unsatisfiable 201.15s 31.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM098-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.61 % Computer : n026.cluster.edu
% 0.13/5.61 % Model : x86_64 x86_64
% 0.13/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.61 % Memory : 8046.5625MB
% 0.13/5.61 % OS : Linux 6.8.0-71-generic
% 0.13/5.61 % CPULimit : 300
% 0.13/5.61 % WCLimit : 300
% 0.13/5.61 % DateTime : Mon Sep 21 02:07:28 UTC 2026
% 0.13/5.62 % CPUTime :
% 0.13/5.63 % Drodi V4.1.1
% 201.15/31.10 % Refutation found
% 201.15/31.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 201.15/31.10 % SZS output start CNFRefutation for theBenchmark
% 201.15/31.10 fof(f1,axiom,(
% 201.15/31.10 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f2,axiom,(
% 201.15/31.10 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f3,axiom,(
% 201.15/31.10 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f4,axiom,(
% 201.15/31.10 (![X]: (subclass(X,universal_class) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f7,axiom,(
% 201.15/31.10 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f14,axiom,(
% 201.15/31.10 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f15,axiom,(
% 201.15/31.10 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f17,axiom,(
% 201.15/31.10 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f21,axiom,(
% 201.15/31.10 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f22,axiom,(
% 201.15/31.10 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f29,axiom,(
% 201.15/31.10 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f30,axiom,(
% 201.15/31.10 (![X,Z]: (( restrict(X,singleton(Z),universal_class) != null_class| ~ member(Z,domain_of(X)) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f47,axiom,(
% 201.15/31.10 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f50,axiom,(
% 201.15/31.10 inductive(omega) ),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f53,axiom,(
% 201.15/31.10 (![X]: (domain_of(restrict(element_relation,universal_class,X)) = sum_class(X) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f66,axiom,(
% 201.15/31.10 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f67,axiom,(
% 201.15/31.10 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f117,axiom,(
% 201.15/31.10 (![Y,X]: (( ~ subclass(cross_product(Y,Y),union(identity_relation,symmetrization_of(X)))| connected(X,Y) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f128,axiom,(
% 201.15/31.10 (![Xr,Y]: (( ~ connected(Xr,Y)| not_well_ordering(Xr,Y) != null_class| well_ordering(Xr,Y) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f129,axiom,(
% 201.15/31.10 (![Xr,Y]: (( ~ connected(Xr,Y)| subclass(not_well_ordering(Xr,Y),Y)| well_ordering(Xr,Y) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f136,axiom,(
% 201.15/31.10 (![X]: (( ~ well_ordering(element_relation,X)| ~ subclass(sum_class(X),X)| ~ member(X,universal_class)| member(X,ordinal_numbers) ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f137,axiom,(
% 201.15/31.10 (![X]: (( ~ well_ordering(element_relation,X)| ~ subclass(sum_class(X),X)| member(X,ordinal_numbers)| X = ordinal_numbers ) ))),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f159,negated_conjecture,(
% 201.15/31.10 ~ member(null_class,ordinal_numbers) ),
% 201.15/31.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 201.15/31.10 fof(f160,plain,(
% 201.15/31.10 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 201.15/31.10 inference(miniscoping,[status(thm)],[f1])).
% 201.15/31.10 fof(f161,plain,(
% 201.15/31.10 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f160])).
% 201.15/31.10 fof(f162,plain,(
% 201.15/31.10 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f2])).
% 201.15/31.10 fof(f163,plain,(
% 201.15/31.10 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f3])).
% 201.15/31.10 fof(f164,plain,(
% 201.15/31.10 ![X0]: (subclass(X0,universal_class))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f4])).
% 201.15/31.10 fof(f167,plain,(
% 201.15/31.10 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f7])).
% 201.15/31.10 fof(f177,plain,(
% 201.15/31.10 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 201.15/31.10 inference(miniscoping,[status(thm)],[f14])).
% 201.15/31.10 fof(f178,plain,(
% 201.15/31.10 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f177])).
% 201.15/31.10 fof(f179,plain,(
% 201.15/31.10 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 201.15/31.10 inference(miniscoping,[status(thm)],[f15])).
% 201.15/31.10 fof(f180,plain,(
% 201.15/31.10 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f179])).
% 201.15/31.10 fof(f182,plain,(
% 201.15/31.10 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 201.15/31.10 inference(miniscoping,[status(thm)],[f17])).
% 201.15/31.10 fof(f183,plain,(
% 201.15/31.10 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f182])).
% 201.15/31.10 fof(f187,plain,(
% 201.15/31.10 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 201.15/31.10 inference(miniscoping,[status(thm)],[f21])).
% 201.15/31.10 fof(f188,plain,(
% 201.15/31.10 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f187])).
% 201.15/31.10 fof(f189,plain,(
% 201.15/31.10 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 201.15/31.10 inference(miniscoping,[status(thm)],[f22])).
% 201.15/31.10 fof(f190,plain,(
% 201.15/31.10 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f189])).
% 201.15/31.10 fof(f197,plain,(
% 201.15/31.10 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f29])).
% 201.15/31.10 fof(f198,plain,(
% 201.15/31.10 ![X0,X1]: (~restrict(X0,singleton(X1),universal_class)=null_class|~member(X1,domain_of(X0)))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f30])).
% 201.15/31.10 fof(f215,plain,(
% 201.15/31.10 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f47])).
% 201.15/31.10 fof(f218,plain,(
% 201.15/31.10 inductive(omega)),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f50])).
% 201.15/31.10 fof(f221,plain,(
% 201.15/31.10 ![X0]: (domain_of(restrict(element_relation,universal_class,X0))=sum_class(X0))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f53])).
% 201.15/31.10 fof(f234,plain,(
% 201.15/31.10 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f66])).
% 201.15/31.10 fof(f235,plain,(
% 201.15/31.10 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f67])).
% 201.15/31.10 fof(f295,plain,(
% 201.15/31.10 ![X0,X1]: (~subclass(cross_product(X0,X0),union(identity_relation,symmetrization_of(X1)))|connected(X1,X0))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f117])).
% 201.15/31.10 fof(f310,plain,(
% 201.15/31.10 ![X0,X1]: (~connected(X0,X1)|~not_well_ordering(X0,X1)=null_class|well_ordering(X0,X1))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f128])).
% 201.15/31.10 fof(f311,plain,(
% 201.15/31.10 ![X0,X1]: (~connected(X0,X1)|subclass(not_well_ordering(X0,X1),X1)|well_ordering(X0,X1))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f129])).
% 201.15/31.10 fof(f320,plain,(
% 201.15/31.10 ![X0]: (~well_ordering(element_relation,X0)|~subclass(sum_class(X0),X0)|~member(X0,universal_class)|member(X0,ordinal_numbers))),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f136])).
% 201.15/31.10 fof(f321,plain,(
% 201.15/31.10 ![X0]: (~well_ordering(element_relation,X0)|~subclass(sum_class(X0),X0)|member(X0,ordinal_numbers)|X0=ordinal_numbers)),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f137])).
% 201.15/31.10 fof(f347,plain,(
% 201.15/31.10 ~member(null_class,ordinal_numbers)),
% 201.15/31.10 inference(cnf_transformation,[status(thm)],[f159])).
% 201.15/31.10 fof(f355,plain,(
% 201.15/31.10 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 201.15/31.10 inference(resolution,[status(thm)],[f164,f161])).
% 201.15/31.10 fof(f359,plain,(
% 201.15/31.10 member(null_class,omega)),
% 201.15/31.10 inference(resolution,[status(thm)],[f215,f218])).
% 201.15/31.10 fof(f1065,plain,(
% 201.15/31.10 member(null_class,universal_class)),
% 201.15/31.10 inference(resolution,[status(thm)],[f355,f359])).
% 201.15/31.10 fof(f1250,plain,(
% 201.15/31.10 ![X0,X1]: (ordered_pair(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))=regular(cross_product(X0,X1))|cross_product(X0,X1)=null_class)),
% 201.15/31.10 inference(resolution,[status(thm)],[f183,f234])).
% 201.15/31.10 fof(f2433,plain,(
% 201.15/31.10 ![X0,X1,X2,X3]: (~member(regular(cross_product(X0,X1)),cross_product(X2,X3))|member(second(regular(cross_product(X0,X1))),X3)|cross_product(X0,X1)=null_class)),
% 201.15/31.10 inference(paramodulation,[status(thm)],[f1250,f180])).
% 201.15/31.10 fof(f2434,plain,(
% 201.15/31.10 ![X0,X1,X2,X3]: (~member(regular(cross_product(X0,X1)),cross_product(X2,X3))|member(first(regular(cross_product(X0,X1))),X2)|cross_product(X0,X1)=null_class)),
% 201.15/31.10 inference(paramodulation,[status(thm)],[f1250,f178])).
% 201.15/31.10 fof(f2525,plain,(
% 201.15/31.10 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 201.15/31.10 inference(resolution,[status(thm)],[f188,f162])).
% 201.15/31.10 fof(f2538,plain,(
% 201.15/31.11 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 201.15/31.11 inference(paramodulation,[status(thm)],[f235,f188])).
% 201.15/31.11 fof(f2546,plain,(
% 201.15/31.11 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 201.15/31.11 inference(resolution,[status(thm)],[f190,f162])).
% 201.15/31.11 fof(f3897,plain,(
% 201.15/31.11 ![X0,X1]: (member(not_subclass_element(null_class,X0),X1)|X1=null_class|subclass(null_class,X0))),
% 201.15/31.11 inference(resolution,[status(thm)],[f2538,f162])).
% 201.15/31.11 fof(f4359,plain,(
% 201.15/31.11 ![X0]: (X0=null_class|subclass(null_class,X0)|subclass(null_class,X0))),
% 201.15/31.11 inference(resolution,[status(thm)],[f3897,f163])).
% 201.15/31.11 fof(f4396,plain,(
% 201.15/31.11 ![X0]: (X0=null_class|subclass(null_class,X0))),
% 201.15/31.11 inference(duplicate_literals_removal,[status(thm)],[f4359])).
% 201.15/31.11 fof(f4410,plain,(
% 201.15/31.11 ![X0]: (X0=null_class|~subclass(X0,null_class)|X0=null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f4396,f167])).
% 201.15/31.11 fof(f4417,plain,(
% 201.15/31.11 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 201.15/31.11 inference(duplicate_literals_removal,[status(thm)],[f4410])).
% 201.15/31.11 fof(f4480,plain,(
% 201.15/31.11 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 201.15/31.11 inference(resolution,[status(thm)],[f2525,f163])).
% 201.15/31.11 fof(f4525,plain,(
% 201.15/31.11 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 201.15/31.11 inference(duplicate_literals_removal,[status(thm)],[f4480])).
% 201.15/31.11 fof(f4535,plain,(
% 201.15/31.11 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 201.15/31.11 inference(resolution,[status(thm)],[f2546,f163])).
% 201.15/31.11 fof(f4580,plain,(
% 201.15/31.11 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 201.15/31.11 inference(duplicate_literals_removal,[status(thm)],[f4535])).
% 201.15/31.11 fof(f5557,plain,(
% 201.15/31.11 ![X0]: (intersection(X0,null_class)=null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f4417,f4580])).
% 201.15/31.11 fof(f5558,plain,(
% 201.15/31.11 ![X0]: (intersection(null_class,X0)=null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f4417,f4525])).
% 201.15/31.11 fof(f5580,plain,(
% 201.15/31.11 ![X0,X1]: (restrict(null_class,X0,X1)=null_class)),
% 201.15/31.11 inference(paramodulation,[status(thm)],[f197,f5557])).
% 201.15/31.11 fof(f5587,plain,(
% 201.15/31.11 ![X0]: (subclass(null_class,X0))),
% 201.15/31.11 inference(paramodulation,[status(thm)],[f5557,f4525])).
% 201.15/31.11 fof(f5659,plain,(
% 201.15/31.11 ![X0]: (~member(X0,domain_of(null_class)))),
% 201.15/31.11 inference(resolution,[status(thm)],[f5580,f198])).
% 201.15/31.11 fof(f5684,plain,(
% 201.15/31.11 domain_of(null_class)=null_class),
% 201.15/31.11 inference(resolution,[status(thm)],[f5659,f234])).
% 201.15/31.11 fof(f5694,plain,(
% 201.15/31.11 ![X0]: (~member(X0,null_class))),
% 201.15/31.11 inference(backward_demodulation,[status(thm)],[f5684,f5659])).
% 201.15/31.11 fof(f47138,plain,(
% 201.15/31.11 ![X0,X1]: (member(second(regular(cross_product(X0,X1))),X1)|cross_product(X0,X1)=null_class|cross_product(X0,X1)=null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f2433,f234])).
% 201.15/31.11 fof(f47154,plain,(
% 201.15/31.11 ![X0,X1]: (member(second(regular(cross_product(X0,X1))),X1)|cross_product(X0,X1)=null_class)),
% 201.15/31.11 inference(duplicate_literals_removal,[status(thm)],[f47138])).
% 201.15/31.11 fof(f52831,plain,(
% 201.15/31.11 ![X0,X1]: (member(first(regular(cross_product(X0,X1))),X0)|cross_product(X0,X1)=null_class|cross_product(X0,X1)=null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f2434,f234])).
% 201.15/31.11 fof(f52847,plain,(
% 201.15/31.11 ![X0,X1]: (member(first(regular(cross_product(X0,X1))),X0)|cross_product(X0,X1)=null_class)),
% 201.15/31.11 inference(duplicate_literals_removal,[status(thm)],[f52831])).
% 201.15/31.11 fof(f63645,plain,(
% 201.15/31.11 ![X0]: (cross_product(X0,null_class)=null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f47154,f5694])).
% 201.15/31.11 fof(f63976,plain,(
% 201.15/31.11 ![X0]: (cross_product(null_class,X0)=null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f52847,f5694])).
% 201.15/31.11 fof(f66611,plain,(
% 201.15/31.11 ![X0,X1]: (intersection(null_class,X0)=restrict(X0,X1,null_class))),
% 201.15/31.11 inference(paramodulation,[status(thm)],[f63645,f197])).
% 201.15/31.11 fof(f66724,plain,(
% 201.15/31.11 ![X0,X1]: (null_class=restrict(X0,X1,null_class))),
% 201.15/31.11 inference(forward_demodulation,[status(thm)],[f5558,f66611])).
% 201.15/31.11 fof(f66979,plain,(
% 201.15/31.11 domain_of(null_class)=sum_class(null_class)),
% 201.15/31.11 inference(paramodulation,[status(thm)],[f66724,f221])).
% 201.15/31.11 fof(f67002,plain,(
% 201.15/31.11 null_class=sum_class(null_class)),
% 201.15/31.11 inference(forward_demodulation,[status(thm)],[f5684,f66979])).
% 201.15/31.11 fof(f67065,plain,(
% 201.15/31.11 ~well_ordering(element_relation,null_class)|~subclass(null_class,null_class)|member(null_class,ordinal_numbers)|null_class=ordinal_numbers),
% 201.15/31.11 inference(paramodulation,[status(thm)],[f67002,f321])).
% 201.15/31.11 fof(f67092,plain,(
% 201.15/31.11 ~well_ordering(element_relation,null_class)|member(null_class,ordinal_numbers)|null_class=ordinal_numbers),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f67065,f5587])).
% 201.15/31.11 fof(f67272,plain,(
% 201.15/31.11 ![X0]: (~subclass(null_class,union(identity_relation,symmetrization_of(X0)))|connected(X0,null_class))),
% 201.15/31.11 inference(paramodulation,[status(thm)],[f63976,f295])).
% 201.15/31.11 fof(f67275,plain,(
% 201.15/31.11 ![X0]: (connected(X0,null_class))),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f67272,f5587])).
% 201.15/31.11 fof(f68316,plain,(
% 201.15/31.11 ~well_ordering(element_relation,null_class)|null_class=ordinal_numbers),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f67092,f347])).
% 201.15/31.11 fof(f73345,plain,(
% 201.15/31.11 ![X0]: (subclass(not_well_ordering(X0,null_class),null_class)|well_ordering(X0,null_class))),
% 201.15/31.11 inference(resolution,[status(thm)],[f67275,f311])).
% 201.15/31.11 fof(f75157,plain,(
% 201.15/31.11 ![X0]: (well_ordering(X0,null_class)|not_well_ordering(X0,null_class)=null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f73345,f4417])).
% 201.15/31.11 fof(f75170,plain,(
% 201.15/31.11 not_well_ordering(element_relation,null_class)=null_class|null_class=ordinal_numbers),
% 201.15/31.11 inference(resolution,[status(thm)],[f75157,f68316])).
% 201.15/31.11 fof(f89544,plain,(
% 201.15/31.11 ~connected(element_relation,null_class)|well_ordering(element_relation,null_class)|null_class=ordinal_numbers),
% 201.15/31.11 inference(resolution,[status(thm)],[f310,f75170])).
% 201.15/31.11 fof(f89546,plain,(
% 201.15/31.11 well_ordering(element_relation,null_class)|null_class=ordinal_numbers),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f89544,f67275])).
% 201.15/31.11 fof(f90103,plain,(
% 201.15/31.11 null_class=ordinal_numbers),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f89546,f68316])).
% 201.15/31.11 fof(f100764,plain,(
% 201.15/31.11 ![X0]: (~well_ordering(element_relation,X0)|~subclass(sum_class(X0),X0)|~member(X0,universal_class)|member(X0,null_class))),
% 201.15/31.11 inference(forward_demodulation,[status(thm)],[f90103,f320])).
% 201.15/31.11 fof(f100765,plain,(
% 201.15/31.11 ![X0]: (~well_ordering(element_relation,X0)|~subclass(sum_class(X0),X0)|~member(X0,universal_class))),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f100764,f5694])).
% 201.15/31.11 fof(f100771,plain,(
% 201.15/31.11 ~well_ordering(element_relation,null_class)|~subclass(null_class,null_class)|~member(null_class,universal_class)),
% 201.15/31.11 inference(paramodulation,[status(thm)],[f67002,f100765])).
% 201.15/31.11 fof(f100776,plain,(
% 201.15/31.11 ~well_ordering(element_relation,null_class)|~member(null_class,universal_class)),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f100771,f5587])).
% 201.15/31.11 fof(f111262,plain,(
% 201.15/31.11 ~well_ordering(element_relation,null_class)),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f100776,f1065])).
% 201.15/31.11 fof(f111267,plain,(
% 201.15/31.11 not_well_ordering(element_relation,null_class)=null_class),
% 201.15/31.11 inference(resolution,[status(thm)],[f111262,f75157])).
% 201.15/31.11 fof(f111268,plain,(
% 201.15/31.11 ~connected(element_relation,null_class)|well_ordering(element_relation,null_class)),
% 201.15/31.11 inference(resolution,[status(thm)],[f111267,f310])).
% 201.15/31.11 fof(f111273,plain,(
% 201.15/31.11 well_ordering(element_relation,null_class)),
% 201.15/31.11 inference(forward_subsumption_resolution,[status(thm)],[f111268,f67275])).
% 201.56/31.17 fof(f111279,plain,(
% 201.56/31.17 $false),
% 201.56/31.17 inference(forward_subsumption_resolution,[status(thm)],[f111273,f111262])).
% 201.56/31.17 % SZS output end CNFRefutation for theBenchmark.p
% 27.43/31.34 % Elapsed time: 25.698636 seconds
% 27.43/31.34 % CPU time: 202.633572 seconds
% 27.43/31.34 % Total memory used: 976.493 MB
% 27.43/31.34 % Net memory used: 892.172 MB
%------------------------------------------------------------------------------