%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET167-6 : 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 : n004.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 02:11:42 PM UTC 2026
% Result : Unsatisfiable 6.03s 1.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET167-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n004.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 04:57:35 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.50 % Drodi V4.1.1
% 6.03/1.34 % Refutation found
% 6.03/1.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.03/1.34 % SZS output start CNFRefutation for theBenchmark
% 6.03/1.34 fof(f1,axiom,(
% 6.03/1.34 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 6.03/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.03/1.34 fof(f4,axiom,(
% 6.03/1.34 (![X]: (subclass(X,universal_class) ))),
% 6.03/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.03/1.34 fof(f21,axiom,(
% 6.03/1.34 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 6.03/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.03/1.34 fof(f24,axiom,(
% 6.03/1.34 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 6.03/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.03/1.34 fof(f25,axiom,(
% 6.03/1.34 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 6.03/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.03/1.34 fof(f26,axiom,(
% 6.03/1.34 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 6.03/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.03/1.34 fof(f113,negated_conjecture,(
% 6.03/1.34 member(x,y) ),
% 6.03/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.03/1.34 fof(f114,negated_conjecture,(
% 6.03/1.34 ~ member(x,union(y,z)) ),
% 6.03/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.03/1.34 fof(f115,plain,(
% 6.03/1.34 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 6.03/1.34 inference(miniscoping,[status(thm)],[f1])).
% 6.03/1.34 fof(f116,plain,(
% 6.03/1.34 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 6.03/1.34 inference(cnf_transformation,[status(thm)],[f115])).
% 6.03/1.34 fof(f119,plain,(
% 6.03/1.34 ![X0]: (subclass(X0,universal_class))),
% 6.03/1.34 inference(cnf_transformation,[status(thm)],[f4])).
% 6.03/1.34 fof(f142,plain,(
% 6.03/1.34 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 6.03/1.34 inference(miniscoping,[status(thm)],[f21])).
% 6.03/1.34 fof(f143,plain,(
% 6.03/1.34 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 6.03/1.34 inference(cnf_transformation,[status(thm)],[f142])).
% 6.03/1.34 fof(f147,plain,(
% 6.03/1.34 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 6.03/1.34 inference(cnf_transformation,[status(thm)],[f24])).
% 6.03/1.34 fof(f148,plain,(
% 6.03/1.34 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 6.03/1.34 inference(cnf_transformation,[status(thm)],[f25])).
% 6.03/1.34 fof(f149,plain,(
% 6.03/1.34 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 6.03/1.34 inference(cnf_transformation,[status(thm)],[f26])).
% 6.03/1.34 fof(f246,plain,(
% 6.03/1.34 member(x,y)),
% 6.03/1.34 inference(cnf_transformation,[status(thm)],[f113])).
% 6.03/1.34 fof(f247,plain,(
% 6.03/1.34 ~member(x,union(y,z))),
% 6.03/1.34 inference(cnf_transformation,[status(thm)],[f114])).
% 6.03/1.34 fof(f339,plain,(
% 6.03/1.34 ![X0]: (~subclass(y,X0)|member(x,X0))),
% 6.03/1.34 inference(resolution,[status(thm)],[f116,f246])).
% 6.03/1.34 fof(f351,plain,(
% 6.03/1.34 member(x,universal_class)),
% 6.03/1.34 inference(resolution,[status(thm)],[f339,f119])).
% 6.03/1.34 fof(f2744,plain,(
% 6.03/1.34 ~member(x,complement(y))),
% 6.03/1.34 inference(resolution,[status(thm)],[f147,f246])).
% 6.03/1.34 fof(f2753,plain,(
% 6.03/1.34 ![X0]: (member(x,complement(X0))|member(x,X0))),
% 6.03/1.34 inference(resolution,[status(thm)],[f148,f351])).
% 6.03/1.34 fof(f2806,plain,(
% 6.03/1.34 ![X0,X1]: (member(x,union(X0,X1))|member(x,intersection(complement(X0),complement(X1))))),
% 6.03/1.34 inference(paramodulation,[status(thm)],[f149,f2753])).
% 6.03/1.34 fof(f5904,plain,(
% 6.03/1.34 ![X0,X1]: (member(x,union(X0,X1))|member(x,complement(X0)))),
% 6.03/1.34 inference(resolution,[status(thm)],[f2806,f143])).
% 6.03/1.34 fof(f7709,plain,(
% 6.03/1.34 member(x,complement(y))),
% 6.03/1.34 inference(resolution,[status(thm)],[f5904,f247])).
% 6.03/1.34 fof(f7726,plain,(
% 6.03/1.34 $false),
% 6.03/1.34 inference(forward_subsumption_resolution,[status(thm)],[f7709,f2744])).
% 6.03/1.34 % SZS output end CNFRefutation for theBenchmark.p
% 6.03/1.37 % Elapsed time: 0.896348 seconds
% 6.03/1.37 % CPU time: 6.446961 seconds
% 6.03/1.37 % Total memory used: 256.549 MB
% 6.03/1.37 % Net memory used: 252.659 MB
%------------------------------------------------------------------------------