%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET287-6 : 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 : n011.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 02:11:53 PM UTC 2026
% Result : Unsatisfiable 4.01s 0.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET287-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:05:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 4.01/0.94 % Refutation found
% 4.01/0.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.01/0.94 % SZS output start CNFRefutation for theBenchmark
% 4.01/0.94 fof(f1,axiom,(
% 4.01/0.94 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f2,axiom,(
% 4.01/0.94 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f3,axiom,(
% 4.01/0.94 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f7,axiom,(
% 4.01/0.94 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f21,axiom,(
% 4.01/0.94 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f22,axiom,(
% 4.01/0.94 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f24,axiom,(
% 4.01/0.94 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f28,axiom,(
% 4.01/0.94 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f30,axiom,(
% 4.01/0.94 (![X,Z]: (( restrict(X,singleton(Z),universal_class) != null_class| ~ member(Z,domain_of(X)) ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f67,axiom,(
% 4.01/0.94 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f113,negated_conjecture,(
% 4.01/0.94 subclass(x,y) ),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f114,negated_conjecture,(
% 4.01/0.94 domain_of(intersection(complement(y),x)) != null_class ),
% 4.01/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.01/0.94 fof(f115,plain,(
% 4.01/0.94 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 4.01/0.94 inference(miniscoping,[status(thm)],[f1])).
% 4.01/0.94 fof(f116,plain,(
% 4.01/0.94 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f115])).
% 4.01/0.94 fof(f117,plain,(
% 4.01/0.94 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f2])).
% 4.01/0.94 fof(f118,plain,(
% 4.01/0.94 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f3])).
% 4.01/0.94 fof(f122,plain,(
% 4.01/0.94 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f7])).
% 4.01/0.94 fof(f142,plain,(
% 4.01/0.94 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 4.01/0.94 inference(miniscoping,[status(thm)],[f21])).
% 4.01/0.94 fof(f143,plain,(
% 4.01/0.94 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f142])).
% 4.01/0.94 fof(f144,plain,(
% 4.01/0.94 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 4.01/0.94 inference(miniscoping,[status(thm)],[f22])).
% 4.01/0.94 fof(f145,plain,(
% 4.01/0.94 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f144])).
% 4.01/0.94 fof(f147,plain,(
% 4.01/0.94 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f24])).
% 4.01/0.94 fof(f151,plain,(
% 4.01/0.94 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f28])).
% 4.01/0.94 fof(f153,plain,(
% 4.01/0.94 ![X0,X1]: (~restrict(X0,singleton(X1),universal_class)=null_class|~member(X1,domain_of(X0)))),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f30])).
% 4.01/0.94 fof(f190,plain,(
% 4.01/0.94 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f67])).
% 4.01/0.94 fof(f246,plain,(
% 4.01/0.94 subclass(x,y)),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f113])).
% 4.01/0.94 fof(f247,plain,(
% 4.01/0.94 ~domain_of(intersection(complement(y),x))=null_class),
% 4.01/0.94 inference(cnf_transformation,[status(thm)],[f114])).
% 4.01/0.94 fof(f250,plain,(
% 4.01/0.94 ![X0]: (~member(X0,x)|member(X0,y))),
% 4.01/0.94 inference(resolution,[status(thm)],[f116,f246])).
% 4.01/0.94 fof(f270,plain,(
% 4.01/0.94 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 4.01/0.96 inference(resolution,[status(thm)],[f143,f117])).
% 4.01/0.96 fof(f271,plain,(
% 4.01/0.96 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 4.01/0.96 inference(resolution,[status(thm)],[f145,f117])).
% 4.01/0.96 fof(f355,plain,(
% 4.01/0.96 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 4.01/0.96 inference(resolution,[status(thm)],[f270,f118])).
% 4.01/0.96 fof(f356,plain,(
% 4.01/0.96 ![X0,X1,X2]: (subclass(intersection(complement(X0),X1),X2)|~member(not_subclass_element(intersection(complement(X0),X1),X2),X0))),
% 4.01/0.96 inference(resolution,[status(thm)],[f270,f147])).
% 4.01/0.96 fof(f366,plain,(
% 4.01/0.96 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 4.01/0.96 inference(duplicate_literals_removal,[status(thm)],[f355])).
% 4.01/0.96 fof(f510,plain,(
% 4.01/0.96 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),X0))),
% 4.01/0.96 inference(paramodulation,[status(thm)],[f151,f366])).
% 4.01/0.96 fof(f574,plain,(
% 4.01/0.96 ![X0,X1]: (~restrict(X0,singleton(not_subclass_element(domain_of(X0),X1)),universal_class)=null_class|subclass(domain_of(X0),X1))),
% 4.01/0.96 inference(resolution,[status(thm)],[f153,f117])).
% 4.01/0.96 fof(f840,plain,(
% 4.01/0.96 ![X0,X1]: (member(not_subclass_element(intersection(X0,x),X1),y)|subclass(intersection(X0,x),X1))),
% 4.01/0.96 inference(resolution,[status(thm)],[f250,f271])).
% 4.01/0.96 fof(f1964,plain,(
% 4.01/0.96 ![X0]: (subclass(null_class,X0)|X0=null_class)),
% 4.01/0.96 inference(paramodulation,[status(thm)],[f190,f366])).
% 4.01/0.96 fof(f2376,plain,(
% 4.01/0.96 ![X0]: (X0=null_class|~subclass(X0,null_class)|null_class=X0)),
% 4.01/0.96 inference(resolution,[status(thm)],[f1964,f122])).
% 4.01/0.96 fof(f2378,plain,(
% 4.01/0.96 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 4.01/0.96 inference(duplicate_literals_removal,[status(thm)],[f2376])).
% 4.01/0.96 fof(f2595,plain,(
% 4.01/0.96 ![X0,X1]: (restrict(null_class,X0,X1)=null_class)),
% 4.01/0.96 inference(resolution,[status(thm)],[f2378,f510])).
% 4.01/0.96 fof(f4930,plain,(
% 4.01/0.96 ![X0]: (subclass(domain_of(null_class),X0))),
% 4.01/0.96 inference(resolution,[status(thm)],[f574,f2595])).
% 4.01/0.96 fof(f4942,plain,(
% 4.01/0.96 domain_of(null_class)=null_class),
% 4.01/0.96 inference(resolution,[status(thm)],[f4930,f2378])).
% 4.01/0.96 fof(f8151,plain,(
% 4.01/0.96 ![X0]: (subclass(intersection(complement(y),x),X0)|subclass(intersection(complement(y),x),X0))),
% 4.01/0.96 inference(resolution,[status(thm)],[f356,f840])).
% 4.01/0.96 fof(f8170,plain,(
% 4.01/0.96 ![X0]: (subclass(intersection(complement(y),x),X0))),
% 4.01/0.96 inference(duplicate_literals_removal,[status(thm)],[f8151])).
% 4.01/0.96 fof(f8264,plain,(
% 4.01/0.96 intersection(complement(y),x)=null_class),
% 4.01/0.96 inference(resolution,[status(thm)],[f8170,f2378])).
% 4.01/0.96 fof(f8400,plain,(
% 4.01/0.96 ~domain_of(null_class)=null_class),
% 4.01/0.96 inference(backward_demodulation,[status(thm)],[f8264,f247])).
% 4.01/0.96 fof(f8418,plain,(
% 4.01/0.96 ~null_class=null_class),
% 4.01/0.96 inference(forward_demodulation,[status(thm)],[f4942,f8400])).
% 4.01/0.96 fof(f8419,plain,(
% 4.01/0.96 $false),
% 4.01/0.96 inference(trivial_equality_resolution,[status(thm)],[f8418])).
% 4.01/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 4.01/0.97 % Elapsed time: 0.599744 seconds
% 4.01/0.97 % CPU time: 4.466464 seconds
% 4.01/0.97 % Total memory used: 177.346 MB
% 4.01/0.97 % Net memory used: 167.896 MB
%------------------------------------------------------------------------------