%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET189-6 : 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 : 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 02:11:44 PM UTC 2026
% Result : Unsatisfiable 22.12s 3.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET189-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 05:02:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 22.12/3.31 % Refutation found
% 22.12/3.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 22.12/3.31 % SZS output start CNFRefutation for theBenchmark
% 22.12/3.31 fof(f1,axiom,(
% 22.12/3.31 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f2,axiom,(
% 22.12/3.31 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f3,axiom,(
% 22.12/3.31 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f4,axiom,(
% 22.12/3.31 (![X]: (subclass(X,universal_class) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f5,axiom,(
% 22.12/3.31 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f7,axiom,(
% 22.12/3.31 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f21,axiom,(
% 22.12/3.31 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f22,axiom,(
% 22.12/3.31 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f23,axiom,(
% 22.12/3.31 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f24,axiom,(
% 22.12/3.31 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f25,axiom,(
% 22.12/3.31 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f26,axiom,(
% 22.12/3.31 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f66,axiom,(
% 22.12/3.31 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f67,axiom,(
% 22.12/3.31 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f113,negated_conjecture,(
% 22.12/3.31 intersection(complement(y),x) = null_class ),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f114,negated_conjecture,(
% 22.12/3.31 subclass(y,x) ),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f115,negated_conjecture,(
% 22.12/3.31 x != y ),
% 22.12/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.12/3.31 fof(f116,plain,(
% 22.12/3.31 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 22.12/3.31 inference(miniscoping,[status(thm)],[f1])).
% 22.12/3.31 fof(f117,plain,(
% 22.12/3.31 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f116])).
% 22.12/3.31 fof(f118,plain,(
% 22.12/3.31 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f2])).
% 22.12/3.31 fof(f119,plain,(
% 22.12/3.31 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f3])).
% 22.12/3.31 fof(f120,plain,(
% 22.12/3.31 ![X0]: (subclass(X0,universal_class))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f4])).
% 22.12/3.31 fof(f121,plain,(
% 22.12/3.31 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f5])).
% 22.12/3.31 fof(f123,plain,(
% 22.12/3.31 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f7])).
% 22.12/3.31 fof(f143,plain,(
% 22.12/3.31 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 22.12/3.31 inference(miniscoping,[status(thm)],[f21])).
% 22.12/3.31 fof(f144,plain,(
% 22.12/3.31 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f143])).
% 22.12/3.31 fof(f145,plain,(
% 22.12/3.31 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 22.12/3.31 inference(miniscoping,[status(thm)],[f22])).
% 22.12/3.31 fof(f146,plain,(
% 22.12/3.31 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f145])).
% 22.12/3.31 fof(f147,plain,(
% 22.12/3.31 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f23])).
% 22.12/3.31 fof(f148,plain,(
% 22.12/3.31 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f24])).
% 22.12/3.31 fof(f149,plain,(
% 22.12/3.31 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f25])).
% 22.12/3.31 fof(f150,plain,(
% 22.12/3.31 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f26])).
% 22.12/3.31 fof(f190,plain,(
% 22.12/3.31 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f66])).
% 22.12/3.31 fof(f191,plain,(
% 22.12/3.31 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f67])).
% 22.12/3.31 fof(f247,plain,(
% 22.12/3.31 intersection(complement(y),x)=null_class),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f113])).
% 22.12/3.31 fof(f248,plain,(
% 22.12/3.31 subclass(y,x)),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f114])).
% 22.12/3.31 fof(f249,plain,(
% 22.12/3.31 ~x=y),
% 22.12/3.31 inference(cnf_transformation,[status(thm)],[f115])).
% 22.12/3.31 fof(f250,plain,(
% 22.12/3.31 ![X0]: (subclass(X0,X0))),
% 22.12/3.31 inference(destructive_equality_resolution,[status(thm)],[f121])).
% 22.12/3.31 fof(f257,plain,(
% 22.12/3.31 ~subclass(x,y)|x=y),
% 22.12/3.31 inference(resolution,[status(thm)],[f123,f248])).
% 22.12/3.31 fof(f258,plain,(
% 22.12/3.31 ![X0]: (~subclass(universal_class,X0)|universal_class=X0)),
% 22.12/3.31 inference(resolution,[status(thm)],[f123,f120])).
% 22.12/3.31 fof(f260,plain,(
% 22.12/3.31 ~subclass(x,y)),
% 22.12/3.31 inference(forward_subsumption_resolution,[status(thm)],[f257,f249])).
% 22.12/3.31 fof(f263,plain,(
% 22.12/3.31 ![X0,X1,X2]: (~member(X0,X1)|~subclass(X2,complement(X1))|~member(X0,X2))),
% 22.12/3.31 inference(resolution,[status(thm)],[f148,f117])).
% 22.12/3.31 fof(f265,plain,(
% 22.12/3.31 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X0))),
% 22.12/3.31 inference(resolution,[status(thm)],[f118,f144])).
% 22.12/3.31 fof(f290,plain,(
% 22.12/3.31 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 22.12/3.31 inference(resolution,[status(thm)],[f146,f118])).
% 22.12/3.31 fof(f296,plain,(
% 22.12/3.31 ![X0]: (~member(X0,complement(y))|~member(X0,x)|member(X0,null_class))),
% 22.12/3.31 inference(paramodulation,[status(thm)],[f247,f147])).
% 22.12/3.31 fof(f326,plain,(
% 22.12/3.31 ![X0,X1]: (~member(X0,complement(y))|member(X0,null_class)|~subclass(X1,x)|~member(X0,X1))),
% 22.12/3.31 inference(resolution,[status(thm)],[f296,f117])).
% 22.12/3.31 fof(f346,plain,(
% 22.12/3.31 ![X0,X1,X2]: (~member(X0,universal_class)|member(X0,union(X1,X2))|member(X0,intersection(complement(X1),complement(X2))))),
% 22.12/3.31 inference(paramodulation,[status(thm)],[f150,f149])).
% 22.12/3.31 fof(f367,plain,(
% 22.12/3.31 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 22.12/3.31 inference(resolution,[status(thm)],[f265,f119])).
% 22.12/3.31 fof(f379,plain,(
% 22.12/3.31 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 22.12/3.31 inference(duplicate_literals_removal,[status(thm)],[f367])).
% 22.12/3.31 fof(f478,plain,(
% 22.12/3.31 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 22.12/3.31 inference(resolution,[status(thm)],[f290,f119])).
% 22.12/3.31 fof(f497,plain,(
% 22.12/3.31 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 22.12/3.31 inference(duplicate_literals_removal,[status(thm)],[f478])).
% 22.12/3.31 fof(f523,plain,(
% 22.12/3.31 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,intersection(X2,complement(X1))))),
% 22.12/3.31 inference(resolution,[status(thm)],[f497,f263])).
% 22.12/3.31 fof(f525,plain,(
% 22.12/3.31 ![X0,X1]: (~subclass(X0,intersection(X1,X0))|X0=intersection(X1,X0))),
% 22.12/3.31 inference(resolution,[status(thm)],[f497,f123])).
% 22.12/3.31 fof(f668,plain,(
% 22.12/3.31 ![X0,X1]: (member(X0,null_class)|~subclass(X1,x)|~member(X0,X1)|~member(X0,universal_class)|member(X0,y))),
% 22.12/3.31 inference(resolution,[status(thm)],[f326,f149])).
% 22.12/3.31 fof(f862,plain,(
% 22.12/3.31 ![X0]: (complement(X0)=null_class|~member(regular(complement(X0)),X0))),
% 22.12/3.31 inference(resolution,[status(thm)],[f190,f148])).
% 22.12/3.31 fof(f886,plain,(
% 22.12/3.31 ![X0,X1]: (complement(X0)=null_class|~subclass(X1,X0)|~member(regular(complement(X0)),X1))),
% 22.12/3.31 inference(resolution,[status(thm)],[f862,f117])).
% 22.12/3.31 fof(f892,plain,(
% 22.12/3.31 ![X0]: (complement(X0)=null_class|~subclass(complement(X0),X0)|complement(X0)=null_class)),
% 22.12/3.31 inference(resolution,[status(thm)],[f886,f190])).
% 22.12/3.31 fof(f910,plain,(
% 22.12/3.31 ![X0]: (complement(X0)=null_class|~subclass(complement(X0),X0))),
% 22.12/3.31 inference(duplicate_literals_removal,[status(thm)],[f892])).
% 22.12/3.31 fof(f935,plain,(
% 22.12/3.33 complement(universal_class)=null_class),
% 22.12/3.33 inference(resolution,[status(thm)],[f910,f120])).
% 22.12/3.33 fof(f941,plain,(
% 22.12/3.33 ![X0,X1]: (~member(X0,universal_class)|~member(X0,intersection(X1,null_class)))),
% 22.12/3.33 inference(paramodulation,[status(thm)],[f935,f523])).
% 22.12/3.33 fof(f943,plain,(
% 22.12/3.33 ![X0,X1]: (~member(X0,universal_class)|member(X0,union(X1,universal_class))|member(X0,intersection(complement(X1),null_class)))),
% 22.12/3.33 inference(paramodulation,[status(thm)],[f935,f346])).
% 22.12/3.33 fof(f945,plain,(
% 22.12/3.33 ![X0]: (complement(intersection(complement(X0),null_class))=union(X0,universal_class))),
% 22.12/3.33 inference(paramodulation,[status(thm)],[f935,f150])).
% 22.12/3.33 fof(f950,plain,(
% 22.12/3.33 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 22.12/3.33 inference(paramodulation,[status(thm)],[f935,f148])).
% 22.12/3.33 fof(f951,plain,(
% 22.12/3.33 ![X0,X1]: (~member(X0,universal_class)|member(X0,union(X1,universal_class)))),
% 22.12/3.33 inference(forward_subsumption_resolution,[status(thm)],[f943,f941])).
% 22.12/3.33 fof(f956,plain,(
% 22.12/3.33 ![X0,X1]: (~subclass(X0,x)|~member(X1,X0)|~member(X1,universal_class)|member(X1,y))),
% 22.12/3.33 inference(backward_subsumption_resolution,[status(thm)],[f668,f950])).
% 22.12/3.33 fof(f1988,plain,(
% 22.12/3.33 ![X0]: (subclass(null_class,X0)|X0=null_class)),
% 22.12/3.33 inference(paramodulation,[status(thm)],[f191,f379])).
% 22.12/3.33 fof(f2087,plain,(
% 22.12/3.33 ![X0]: (intersection(X0,null_class)=null_class|null_class=intersection(X0,null_class))),
% 22.12/3.33 inference(resolution,[status(thm)],[f1988,f525])).
% 22.12/3.33 fof(f2110,plain,(
% 22.12/3.33 ![X0]: (complement(null_class)=union(X0,universal_class))),
% 22.12/3.33 inference(backward_demodulation,[status(thm)],[f2160,f945])).
% 22.12/3.33 fof(f2160,plain,(
% 22.12/3.33 ![X0]: (intersection(X0,null_class)=null_class)),
% 22.12/3.33 inference(duplicate_literals_removal,[status(thm)],[f2087])).
% 22.12/3.33 fof(f2215,plain,(
% 22.12/3.33 ![X0]: (~member(X0,universal_class)|member(X0,complement(null_class)))),
% 22.12/3.33 inference(backward_demodulation,[status(thm)],[f2110,f951])).
% 22.12/3.33 fof(f2876,plain,(
% 22.12/3.33 ![X0]: (member(not_subclass_element(universal_class,X0),complement(null_class))|subclass(universal_class,X0))),
% 22.12/3.33 inference(resolution,[status(thm)],[f2215,f118])).
% 22.12/3.33 fof(f2878,plain,(
% 22.12/3.33 ![X0,X1]: (member(X0,complement(null_class))|~subclass(X1,universal_class)|~member(X0,X1))),
% 22.12/3.33 inference(resolution,[status(thm)],[f2215,f117])).
% 22.12/3.33 fof(f2888,plain,(
% 22.12/3.33 ![X0,X1]: (member(X0,complement(null_class))|~member(X0,X1))),
% 22.12/3.33 inference(forward_subsumption_resolution,[status(thm)],[f2878,f120])).
% 22.12/3.33 fof(f3129,plain,(
% 22.12/3.33 subclass(universal_class,complement(null_class))|subclass(universal_class,complement(null_class))),
% 22.12/3.33 inference(resolution,[status(thm)],[f2876,f119])).
% 22.12/3.33 fof(f3132,plain,(
% 22.12/3.33 subclass(universal_class,complement(null_class))),
% 22.12/3.33 inference(duplicate_literals_removal,[status(thm)],[f3129])).
% 22.12/3.33 fof(f3140,plain,(
% 22.12/3.33 universal_class=complement(null_class)),
% 22.12/3.33 inference(resolution,[status(thm)],[f3132,f258])).
% 22.12/3.33 fof(f3150,plain,(
% 22.12/3.33 ![X0,X1]: (member(X0,universal_class)|~member(X0,X1))),
% 22.12/3.33 inference(backward_demodulation,[status(thm)],[f3140,f2888])).
% 22.12/3.33 fof(f3287,plain,(
% 22.12/3.33 ![X0,X1]: (~subclass(X0,x)|~member(X1,X0)|member(X1,y))),
% 22.12/3.33 inference(backward_subsumption_resolution,[status(thm)],[f956,f3150])).
% 22.12/3.33 fof(f3499,plain,(
% 22.12/3.33 ![X0]: (~member(X0,x)|member(X0,y))),
% 22.12/3.33 inference(resolution,[status(thm)],[f3287,f250])).
% 22.12/3.33 fof(f3753,plain,(
% 22.12/3.33 ![X0]: (member(not_subclass_element(x,X0),y)|subclass(x,X0))),
% 22.12/3.33 inference(resolution,[status(thm)],[f3499,f118])).
% 22.12/3.33 fof(f3760,plain,(
% 22.12/3.33 subclass(x,y)|subclass(x,y)),
% 22.12/3.33 inference(resolution,[status(thm)],[f3753,f119])).
% 22.12/3.33 fof(f3766,plain,(
% 22.12/3.33 subclass(x,y)),
% 22.12/3.33 inference(duplicate_literals_removal,[status(thm)],[f3760])).
% 22.12/3.33 fof(f3767,plain,(
% 22.12/3.33 $false),
% 22.12/3.33 inference(forward_subsumption_resolution,[status(thm)],[f3766,f260])).
% 22.12/3.33 % SZS output end CNFRefutation for theBenchmark.p
% 22.12/3.36 % Elapsed time: 2.979375 seconds
% 22.12/3.36 % CPU time: 23.294637 seconds
% 22.12/3.36 % Total memory used: 374.107 MB
% 22.12/3.36 % Net memory used: 342.721 MB
%------------------------------------------------------------------------------