%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET125-6 : 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 : n010.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 02:11:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET125-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n010.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 04:55:15 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.79 % Refutation found
% 0.13/5.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.79 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.79 fof(f1,axiom,(
% 0.13/5.79 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f4,axiom,(
% 0.13/5.79 (![X]: (subclass(X,universal_class) ))),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f22,axiom,(
% 0.13/5.79 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f24,axiom,(
% 0.13/5.79 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f25,axiom,(
% 0.13/5.79 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f26,axiom,(
% 0.13/5.79 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f92,axiom,(
% 0.13/5.79 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f93,negated_conjecture,(
% 0.13/5.79 member(x,z) ),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f94,negated_conjecture,(
% 0.13/5.79 ~ member(x,set_builder(y,z)) ),
% 0.13/5.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.79 fof(f95,plain,(
% 0.13/5.79 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.13/5.79 inference(miniscoping,[status(thm)],[f1])).
% 0.13/5.79 fof(f96,plain,(
% 0.13/5.79 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f95])).
% 0.13/5.79 fof(f99,plain,(
% 0.13/5.79 ![X0]: (subclass(X0,universal_class))),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/5.79 fof(f124,plain,(
% 0.13/5.79 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.13/5.79 inference(miniscoping,[status(thm)],[f22])).
% 0.13/5.79 fof(f125,plain,(
% 0.13/5.79 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f124])).
% 0.13/5.79 fof(f127,plain,(
% 0.13/5.79 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/5.79 fof(f128,plain,(
% 0.13/5.79 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/5.79 fof(f129,plain,(
% 0.13/5.79 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/5.79 fof(f200,plain,(
% 0.13/5.79 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f92])).
% 0.13/5.79 fof(f201,plain,(
% 0.13/5.79 member(x,z)),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f93])).
% 0.13/5.79 fof(f202,plain,(
% 0.13/5.79 ~member(x,set_builder(y,z))),
% 0.13/5.79 inference(cnf_transformation,[status(thm)],[f94])).
% 0.13/5.79 fof(f208,plain,(
% 0.13/5.79 ![X0]: (~subclass(z,X0)|member(x,X0))),
% 0.13/5.79 inference(resolution,[status(thm)],[f96,f201])).
% 0.13/5.79 fof(f217,plain,(
% 0.13/5.79 member(x,universal_class)),
% 0.13/5.79 inference(resolution,[status(thm)],[f99,f208])).
% 0.13/5.79 fof(f1188,plain,(
% 0.13/5.79 ![X0]: (member(x,complement(X0))|member(x,X0))),
% 0.13/5.79 inference(resolution,[status(thm)],[f128,f217])).
% 0.13/5.79 fof(f1237,plain,(
% 0.13/5.79 ![X0,X1]: (member(x,union(X0,X1))|member(x,intersection(complement(X0),complement(X1))))),
% 0.13/5.79 inference(paramodulation,[status(thm)],[f129,f1188])).
% 0.13/5.79 fof(f1240,plain,(
% 0.13/5.79 ![X0,X1]: (member(x,union(X0,X1))|member(x,complement(X1)))),
% 0.13/5.79 inference(resolution,[status(thm)],[f1237,f125])).
% 0.13/5.79 fof(f1283,plain,(
% 0.13/5.79 ![X0,X1]: (member(x,set_builder(X0,X1))|member(x,complement(X1)))),
% 0.13/5.79 inference(paramodulation,[status(thm)],[f200,f1240])).
% 0.13/5.79 fof(f1295,plain,(
% 0.13/5.79 member(x,complement(z))),
% 0.13/5.79 inference(resolution,[status(thm)],[f1283,f202])).
% 0.13/5.79 fof(f1309,plain,(
% 0.13/5.79 ~member(x,z)),
% 0.13/5.79 inference(resolution,[status(thm)],[f1295,f127])).
% 0.13/5.79 fof(f1310,plain,(
% 0.13/5.79 $false),
% 0.13/5.79 inference(forward_subsumption_resolution,[status(thm)],[f1309,f201])).
% 0.13/5.79 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.81 % Elapsed time: 0.425603 seconds
% 0.13/5.81 % CPU time: 3.110914 seconds
% 0.13/5.81 % Total memory used: 171.035 MB
% 0.13/5.81 % Net memory used: 165.050 MB
%------------------------------------------------------------------------------