%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET247-6 : 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 : n015.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 02:11:50 PM UTC 2026
% Result : Unsatisfiable 156.87s 25.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET247-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n015.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 05:06:12 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 156.87/25.32 % Refutation found
% 156.87/25.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 156.87/25.32 % SZS output start CNFRefutation for theBenchmark
% 156.87/25.32 fof(f1,axiom,(
% 156.87/25.32 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f4,axiom,(
% 156.87/25.32 (![X]: (subclass(X,universal_class) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f15,axiom,(
% 156.87/25.32 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f17,axiom,(
% 156.87/25.32 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f21,axiom,(
% 156.87/25.32 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f24,axiom,(
% 156.87/25.32 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f28,axiom,(
% 156.87/25.32 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f29,axiom,(
% 156.87/25.32 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f30,axiom,(
% 156.87/25.32 (![X,Z]: (( restrict(X,singleton(Z),universal_class) != null_class| ~ member(Z,domain_of(X)) ) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f66,axiom,(
% 156.87/25.32 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f113,negated_conjecture,(
% 156.87/25.32 restrict(xr,x,null_class) != null_class ),
% 156.87/25.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 156.87/25.32 fof(f114,plain,(
% 156.87/25.32 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 156.87/25.32 inference(miniscoping,[status(thm)],[f1])).
% 156.87/25.32 fof(f115,plain,(
% 156.87/25.32 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f114])).
% 156.87/25.32 fof(f118,plain,(
% 156.87/25.32 ![X0]: (subclass(X0,universal_class))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f4])).
% 156.87/25.32 fof(f133,plain,(
% 156.87/25.32 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 156.87/25.32 inference(miniscoping,[status(thm)],[f15])).
% 156.87/25.32 fof(f134,plain,(
% 156.87/25.32 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f133])).
% 156.87/25.32 fof(f136,plain,(
% 156.87/25.32 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 156.87/25.32 inference(miniscoping,[status(thm)],[f17])).
% 156.87/25.32 fof(f137,plain,(
% 156.87/25.32 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f136])).
% 156.87/25.32 fof(f141,plain,(
% 156.87/25.32 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 156.87/25.32 inference(miniscoping,[status(thm)],[f21])).
% 156.87/25.32 fof(f142,plain,(
% 156.87/25.32 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f141])).
% 156.87/25.32 fof(f146,plain,(
% 156.87/25.32 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f24])).
% 156.87/25.32 fof(f150,plain,(
% 156.87/25.32 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f28])).
% 156.87/25.32 fof(f151,plain,(
% 156.87/25.32 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f29])).
% 156.87/25.32 fof(f152,plain,(
% 156.87/25.32 ![X0,X1]: (~restrict(X0,singleton(X1),universal_class)=null_class|~member(X1,domain_of(X0)))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f30])).
% 156.87/25.32 fof(f188,plain,(
% 156.87/25.32 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f66])).
% 156.87/25.32 fof(f245,plain,(
% 156.87/25.32 ~restrict(xr,x,null_class)=null_class),
% 156.87/25.32 inference(cnf_transformation,[status(thm)],[f113])).
% 156.87/25.32 fof(f260,plain,(
% 156.87/25.32 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 156.87/25.32 inference(resolution,[status(thm)],[f115,f118])).
% 156.87/25.32 fof(f1156,plain,(
% 156.87/25.32 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 156.87/25.32 inference(resolution,[status(thm)],[f260,f188])).
% 157.61/25.43 fof(f1302,plain,(
% 157.61/25.43 ![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)),
% 157.61/25.43 inference(resolution,[status(thm)],[f137,f188])).
% 157.61/25.43 fof(f4085,plain,(
% 157.61/25.43 ![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)),
% 157.61/25.43 inference(paramodulation,[status(thm)],[f1302,f134])).
% 157.61/25.43 fof(f4465,plain,(
% 157.61/25.43 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,cross_product(X2,X3)))),
% 157.61/25.43 inference(paramodulation,[status(thm)],[f151,f142])).
% 157.61/25.43 fof(f4467,plain,(
% 157.61/25.43 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,X1))),
% 157.61/25.43 inference(paramodulation,[status(thm)],[f150,f142])).
% 157.61/25.43 fof(f4485,plain,(
% 157.61/25.43 ![X0,X1,X2]: (member(regular(restrict(X0,X1,X2)),X0)|restrict(X0,X1,X2)=null_class)),
% 157.61/25.43 inference(resolution,[status(thm)],[f4467,f188])).
% 157.61/25.43 fof(f4516,plain,(
% 157.61/25.43 ![X0,X1,X2]: (member(regular(restrict(X0,X1,X2)),cross_product(X1,X2))|restrict(X0,X1,X2)=null_class)),
% 157.61/25.43 inference(resolution,[status(thm)],[f4465,f188])).
% 157.61/25.43 fof(f4986,plain,(
% 157.61/25.43 ![X0,X1,X2]: (restrict(complement(X0),X1,X2)=null_class|~member(regular(restrict(complement(X0),X1,X2)),X0))),
% 157.61/25.43 inference(resolution,[status(thm)],[f4485,f146])).
% 157.61/25.43 fof(f10902,plain,(
% 157.61/25.43 ![X0,X1]: (restrict(complement(universal_class),X0,X1)=null_class|restrict(complement(universal_class),X0,X1)=null_class)),
% 157.61/25.43 inference(resolution,[status(thm)],[f4986,f1156])).
% 157.61/25.43 fof(f10937,plain,(
% 157.61/25.43 ![X0,X1]: (restrict(complement(universal_class),X0,X1)=null_class)),
% 157.61/25.43 inference(duplicate_literals_removal,[status(thm)],[f10902])).
% 157.61/25.43 fof(f10939,plain,(
% 157.61/25.43 ![X0]: (~member(X0,domain_of(complement(universal_class))))),
% 157.61/25.43 inference(resolution,[status(thm)],[f10937,f152])).
% 157.61/25.43 fof(f10992,plain,(
% 157.61/25.43 domain_of(complement(universal_class))=null_class),
% 157.61/25.43 inference(resolution,[status(thm)],[f10939,f188])).
% 157.61/25.43 fof(f11024,plain,(
% 157.61/25.43 ![X0]: (~member(X0,null_class))),
% 157.61/25.43 inference(backward_demodulation,[status(thm)],[f10992,f10939])).
% 157.61/25.43 fof(f25142,plain,(
% 157.61/25.43 ![X0,X1]: (member(second(regular(cross_product(X0,X1))),X1)|cross_product(X0,X1)=null_class|cross_product(X0,X1)=null_class)),
% 157.61/25.43 inference(resolution,[status(thm)],[f4085,f188])).
% 157.61/25.43 fof(f25172,plain,(
% 157.61/25.43 ![X0,X1]: (member(second(regular(cross_product(X0,X1))),X1)|cross_product(X0,X1)=null_class)),
% 157.61/25.43 inference(duplicate_literals_removal,[status(thm)],[f25142])).
% 157.61/25.43 fof(f28734,plain,(
% 157.61/25.43 ![X0]: (cross_product(X0,null_class)=null_class)),
% 157.61/25.43 inference(resolution,[status(thm)],[f25172,f11024])).
% 157.61/25.43 fof(f33133,plain,(
% 157.61/25.43 ![X0,X1]: (member(regular(restrict(X0,X1,null_class)),null_class)|restrict(X0,X1,null_class)=null_class)),
% 157.61/25.43 inference(paramodulation,[status(thm)],[f28734,f4516])).
% 157.61/25.43 fof(f33190,plain,(
% 157.61/25.43 ![X0,X1]: (restrict(X0,X1,null_class)=null_class)),
% 157.61/25.43 inference(forward_subsumption_resolution,[status(thm)],[f33133,f11024])).
% 157.61/25.43 fof(f33211,plain,(
% 157.61/25.43 ~null_class=null_class),
% 157.61/25.43 inference(backward_demodulation,[status(thm)],[f33190,f245])).
% 157.61/25.43 fof(f33284,plain,(
% 157.61/25.43 $false),
% 157.61/25.43 inference(trivial_equality_resolution,[status(thm)],[f33211])).
% 157.61/25.43 % SZS output end CNFRefutation for theBenchmark.p
% 30.12/25.52 % Elapsed time: 20.128574 seconds
% 30.12/25.52 % CPU time: 158.877164 seconds
% 30.12/25.52 % Total memory used: 957.849 MB
% 30.12/25.52 % Net memory used: 859.200 MB
%------------------------------------------------------------------------------