%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET187-6 : 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 : n019.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 10.29s 1.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET187-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:59:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 10.29/1.73 % Refutation found
% 10.29/1.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.29/1.73 % SZS output start CNFRefutation for theBenchmark
% 10.29/1.73 fof(f1,axiom,(
% 10.29/1.73 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f2,axiom,(
% 10.29/1.73 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f3,axiom,(
% 10.29/1.73 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f7,axiom,(
% 10.29/1.73 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f21,axiom,(
% 10.29/1.73 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f22,axiom,(
% 10.29/1.73 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f24,axiom,(
% 10.29/1.73 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f67,axiom,(
% 10.29/1.73 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f113,negated_conjecture,(
% 10.29/1.73 subclass(x,y) ),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f114,negated_conjecture,(
% 10.29/1.73 intersection(complement(y),x) != null_class ),
% 10.29/1.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.29/1.73 fof(f115,plain,(
% 10.29/1.73 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 10.29/1.73 inference(miniscoping,[status(thm)],[f1])).
% 10.29/1.73 fof(f116,plain,(
% 10.29/1.73 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f115])).
% 10.29/1.73 fof(f117,plain,(
% 10.29/1.73 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f2])).
% 10.29/1.73 fof(f118,plain,(
% 10.29/1.73 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f3])).
% 10.29/1.73 fof(f122,plain,(
% 10.29/1.73 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f7])).
% 10.29/1.73 fof(f142,plain,(
% 10.29/1.73 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 10.29/1.73 inference(miniscoping,[status(thm)],[f21])).
% 10.29/1.73 fof(f143,plain,(
% 10.29/1.73 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f142])).
% 10.29/1.73 fof(f144,plain,(
% 10.29/1.73 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 10.29/1.73 inference(miniscoping,[status(thm)],[f22])).
% 10.29/1.73 fof(f145,plain,(
% 10.29/1.73 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f144])).
% 10.29/1.73 fof(f147,plain,(
% 10.29/1.73 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f24])).
% 10.29/1.73 fof(f190,plain,(
% 10.29/1.73 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f67])).
% 10.29/1.73 fof(f246,plain,(
% 10.29/1.73 subclass(x,y)),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f113])).
% 10.29/1.73 fof(f247,plain,(
% 10.29/1.73 ~intersection(complement(y),x)=null_class),
% 10.29/1.73 inference(cnf_transformation,[status(thm)],[f114])).
% 10.29/1.73 fof(f250,plain,(
% 10.29/1.73 ![X0]: (~member(X0,x)|member(X0,y))),
% 10.29/1.73 inference(resolution,[status(thm)],[f116,f246])).
% 10.29/1.73 fof(f263,plain,(
% 10.29/1.73 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X1))),
% 10.29/1.73 inference(resolution,[status(thm)],[f117,f145])).
% 10.29/1.73 fof(f264,plain,(
% 10.29/1.73 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X0))),
% 10.29/1.73 inference(resolution,[status(thm)],[f117,f143])).
% 10.29/1.73 fof(f365,plain,(
% 10.29/1.73 ![X0,X1]: (subclass(intersection(X0,x),X1)|member(not_subclass_element(intersection(X0,x),X1),y))),
% 10.29/1.73 inference(resolution,[status(thm)],[f263,f250])).
% 10.29/1.73 fof(f384,plain,(
% 10.29/1.73 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 10.29/1.73 inference(resolution,[status(thm)],[f264,f118])).
% 10.29/1.73 fof(f386,plain,(
% 10.29/1.73 ![X0,X1,X2]: (subclass(intersection(complement(X0),X1),X2)|~member(not_subclass_element(intersection(complement(X0),X1),X2),X0))),
% 10.29/1.74 inference(resolution,[status(thm)],[f264,f147])).
% 10.29/1.74 fof(f405,plain,(
% 10.29/1.74 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 10.29/1.74 inference(duplicate_literals_removal,[status(thm)],[f384])).
% 10.29/1.74 fof(f1145,plain,(
% 10.29/1.74 ![X0]: (subclass(null_class,X0)|X0=null_class)),
% 10.29/1.74 inference(paramodulation,[status(thm)],[f190,f405])).
% 10.29/1.74 fof(f1219,plain,(
% 10.29/1.74 ![X0]: (X0=null_class|~subclass(X0,null_class)|X0=null_class)),
% 10.29/1.74 inference(resolution,[status(thm)],[f1145,f122])).
% 10.29/1.74 fof(f1223,plain,(
% 10.29/1.74 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 10.29/1.74 inference(duplicate_literals_removal,[status(thm)],[f1219])).
% 10.29/1.74 fof(f6924,plain,(
% 10.29/1.74 ![X0]: (subclass(intersection(complement(y),x),X0)|subclass(intersection(complement(y),x),X0))),
% 10.29/1.74 inference(resolution,[status(thm)],[f386,f365])).
% 10.29/1.74 fof(f6947,plain,(
% 10.29/1.74 ![X0]: (subclass(intersection(complement(y),x),X0))),
% 10.29/1.74 inference(duplicate_literals_removal,[status(thm)],[f6924])).
% 10.29/1.74 fof(f7297,plain,(
% 10.29/1.74 intersection(complement(y),x)=null_class),
% 10.29/1.74 inference(resolution,[status(thm)],[f6947,f1223])).
% 10.29/1.74 fof(f7306,plain,(
% 10.29/1.74 $false),
% 10.29/1.74 inference(forward_subsumption_resolution,[status(thm)],[f7297,f247])).
% 10.29/1.74 % SZS output end CNFRefutation for theBenchmark.p
% 10.29/1.76 % Elapsed time: 1.383637 seconds
% 10.29/1.76 % CPU time: 10.648788 seconds
% 10.29/1.76 % Total memory used: 206.010 MB
% 10.29/1.76 % Net memory used: 191.360 MB
%------------------------------------------------------------------------------