%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET246-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 142.07s 18.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET246-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n016.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 05:07:53 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 142.07/18.48 % Refutation found
% 142.07/18.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 142.07/18.48 % SZS output start CNFRefutation for theBenchmark
% 142.07/18.48 fof(f1,axiom,(
% 142.07/18.48 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f4,axiom,(
% 142.07/18.48 (![X]: (subclass(X,universal_class) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f14,axiom,(
% 142.07/18.48 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f17,axiom,(
% 142.07/18.48 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f21,axiom,(
% 142.07/18.48 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f24,axiom,(
% 142.07/18.48 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f28,axiom,(
% 142.07/18.48 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f29,axiom,(
% 142.07/18.48 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f30,axiom,(
% 142.07/18.48 (![X,Z]: (( restrict(X,singleton(Z),universal_class) != null_class| ~ member(Z,domain_of(X)) ) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f66,axiom,(
% 142.07/18.48 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f113,negated_conjecture,(
% 142.07/18.48 restrict(xr,null_class,y) != null_class ),
% 142.07/18.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 142.07/18.48 fof(f114,plain,(
% 142.07/18.48 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 142.07/18.48 inference(miniscoping,[status(thm)],[f1])).
% 142.07/18.48 fof(f115,plain,(
% 142.07/18.48 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f114])).
% 142.07/18.48 fof(f118,plain,(
% 142.07/18.48 ![X0]: (subclass(X0,universal_class))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f4])).
% 142.07/18.48 fof(f131,plain,(
% 142.07/18.48 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 142.07/18.48 inference(miniscoping,[status(thm)],[f14])).
% 142.07/18.48 fof(f132,plain,(
% 142.07/18.48 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f131])).
% 142.07/18.48 fof(f136,plain,(
% 142.07/18.48 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 142.07/18.48 inference(miniscoping,[status(thm)],[f17])).
% 142.07/18.48 fof(f137,plain,(
% 142.07/18.48 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f136])).
% 142.07/18.48 fof(f141,plain,(
% 142.07/18.48 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 142.07/18.48 inference(miniscoping,[status(thm)],[f21])).
% 142.07/18.48 fof(f142,plain,(
% 142.07/18.48 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f141])).
% 142.07/18.48 fof(f146,plain,(
% 142.07/18.48 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f24])).
% 142.07/18.48 fof(f150,plain,(
% 142.07/18.48 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f28])).
% 142.07/18.48 fof(f151,plain,(
% 142.07/18.48 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f29])).
% 142.07/18.48 fof(f152,plain,(
% 142.07/18.48 ![X0,X1]: (~restrict(X0,singleton(X1),universal_class)=null_class|~member(X1,domain_of(X0)))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f30])).
% 142.07/18.48 fof(f188,plain,(
% 142.07/18.48 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f66])).
% 142.07/18.48 fof(f245,plain,(
% 142.07/18.48 ~restrict(xr,null_class,y)=null_class),
% 142.07/18.48 inference(cnf_transformation,[status(thm)],[f113])).
% 142.07/18.48 fof(f260,plain,(
% 142.07/18.48 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 142.07/18.48 inference(resolution,[status(thm)],[f115,f118])).
% 142.07/18.48 fof(f1156,plain,(
% 142.07/18.48 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 142.07/18.48 inference(resolution,[status(thm)],[f260,f188])).
% 142.07/18.55 fof(f1302,plain,(
% 142.07/18.55 ![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)),
% 142.07/18.55 inference(resolution,[status(thm)],[f137,f188])).
% 142.07/18.55 fof(f4087,plain,(
% 142.07/18.55 ![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)),
% 142.07/18.55 inference(paramodulation,[status(thm)],[f1302,f132])).
% 142.07/18.55 fof(f4465,plain,(
% 142.07/18.55 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,cross_product(X2,X3)))),
% 142.07/18.55 inference(paramodulation,[status(thm)],[f151,f142])).
% 142.07/18.55 fof(f4467,plain,(
% 142.07/18.55 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,X1))),
% 142.07/18.55 inference(paramodulation,[status(thm)],[f150,f142])).
% 142.07/18.55 fof(f4485,plain,(
% 142.07/18.55 ![X0,X1,X2]: (member(regular(restrict(X0,X1,X2)),X0)|restrict(X0,X1,X2)=null_class)),
% 142.07/18.55 inference(resolution,[status(thm)],[f4467,f188])).
% 142.07/18.55 fof(f4516,plain,(
% 142.07/18.55 ![X0,X1,X2]: (member(regular(restrict(X0,X1,X2)),cross_product(X1,X2))|restrict(X0,X1,X2)=null_class)),
% 142.07/18.55 inference(resolution,[status(thm)],[f4465,f188])).
% 142.07/18.55 fof(f4986,plain,(
% 142.07/18.55 ![X0,X1,X2]: (restrict(complement(X0),X1,X2)=null_class|~member(regular(restrict(complement(X0),X1,X2)),X0))),
% 142.07/18.55 inference(resolution,[status(thm)],[f4485,f146])).
% 142.07/18.55 fof(f10902,plain,(
% 142.07/18.55 ![X0,X1]: (restrict(complement(universal_class),X0,X1)=null_class|restrict(complement(universal_class),X0,X1)=null_class)),
% 142.07/18.55 inference(resolution,[status(thm)],[f4986,f1156])).
% 142.07/18.55 fof(f10937,plain,(
% 142.07/18.55 ![X0,X1]: (restrict(complement(universal_class),X0,X1)=null_class)),
% 142.07/18.55 inference(duplicate_literals_removal,[status(thm)],[f10902])).
% 142.07/18.55 fof(f10939,plain,(
% 142.07/18.55 ![X0]: (~member(X0,domain_of(complement(universal_class))))),
% 142.07/18.55 inference(resolution,[status(thm)],[f10937,f152])).
% 142.07/18.55 fof(f10992,plain,(
% 142.07/18.55 domain_of(complement(universal_class))=null_class),
% 142.07/18.55 inference(resolution,[status(thm)],[f10939,f188])).
% 142.07/18.55 fof(f11024,plain,(
% 142.07/18.55 ![X0]: (~member(X0,null_class))),
% 142.07/18.55 inference(backward_demodulation,[status(thm)],[f10992,f10939])).
% 142.07/18.55 fof(f31683,plain,(
% 142.07/18.55 ![X0,X1]: (member(first(regular(cross_product(X0,X1))),X0)|cross_product(X0,X1)=null_class|cross_product(X0,X1)=null_class)),
% 142.07/18.55 inference(resolution,[status(thm)],[f4087,f188])).
% 142.07/18.55 fof(f31728,plain,(
% 142.07/18.55 ![X0,X1]: (member(first(regular(cross_product(X0,X1))),X0)|cross_product(X0,X1)=null_class)),
% 142.07/18.55 inference(duplicate_literals_removal,[status(thm)],[f31683])).
% 142.07/18.55 fof(f37170,plain,(
% 142.07/18.55 ![X0]: (cross_product(null_class,X0)=null_class)),
% 142.07/18.55 inference(resolution,[status(thm)],[f31728,f11024])).
% 142.07/18.55 fof(f39787,plain,(
% 142.07/18.55 ![X0,X1]: (member(regular(restrict(X0,null_class,X1)),null_class)|restrict(X0,null_class,X1)=null_class)),
% 142.07/18.55 inference(paramodulation,[status(thm)],[f37170,f4516])).
% 142.07/18.55 fof(f39865,plain,(
% 142.07/18.55 ![X0,X1]: (restrict(X0,null_class,X1)=null_class)),
% 142.07/18.55 inference(forward_subsumption_resolution,[status(thm)],[f39787,f11024])).
% 142.07/18.55 fof(f39886,plain,(
% 142.07/18.55 ~null_class=null_class),
% 142.07/18.55 inference(backward_demodulation,[status(thm)],[f39865,f245])).
% 142.07/18.55 fof(f39965,plain,(
% 142.07/18.55 $false),
% 142.07/18.55 inference(trivial_equality_resolution,[status(thm)],[f39886])).
% 142.07/18.55 % SZS output end CNFRefutation for theBenchmark.p
% 18.38/18.62 % Elapsed time: 18.145032 seconds
% 18.38/18.62 % CPU time: 143.309761 seconds
% 18.38/18.62 % Total memory used: 1.018 GB
% 18.38/18.62 % Net memory used: 911.205 MB
%------------------------------------------------------------------------------