%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET124-6 : 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 : n006.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 0.14s 11.07s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET124-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.53 % Computer : n006.cluster.edu
% 0.11/10.53 % Model : x86_64 x86_64
% 0.11/10.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.53 % Memory : 8046.5625MB
% 0.11/10.53 % OS : Linux 6.8.0-71-generic
% 0.11/10.53 % CPULimit : 300
% 0.11/10.53 % WCLimit : 300
% 0.11/10.53 % DateTime : Mon Sep 21 04:54:54 UTC 2026
% 0.11/10.53 % CPUTime :
% 0.11/10.55 % Drodi V4.1.1
% 0.14/11.07 % Refutation found
% 0.14/11.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/11.07 % SZS output start CNFRefutation for theBenchmark
% 0.14/11.07 fof(f1,axiom,(
% 0.14/11.07 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f5,axiom,(
% 0.14/11.07 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f10,axiom,(
% 0.14/11.07 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f12,axiom,(
% 0.14/11.07 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f21,axiom,(
% 0.14/11.07 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f24,axiom,(
% 0.14/11.07 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f25,axiom,(
% 0.14/11.07 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f26,axiom,(
% 0.14/11.07 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f92,axiom,(
% 0.14/11.07 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f93,negated_conjecture,(
% 0.14/11.07 member(x,universal_class) ),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f94,negated_conjecture,(
% 0.14/11.07 ~ member(x,set_builder(x,z)) ),
% 0.14/11.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/11.07 fof(f95,plain,(
% 0.14/11.07 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.14/11.07 inference(miniscoping,[status(thm)],[f1])).
% 0.14/11.07 fof(f96,plain,(
% 0.14/11.07 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f95])).
% 0.14/11.07 fof(f100,plain,(
% 0.14/11.07 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/11.07 fof(f107,plain,(
% 0.14/11.07 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.14/11.07 inference(miniscoping,[status(thm)],[f10])).
% 0.14/11.07 fof(f108,plain,(
% 0.14/11.07 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f107])).
% 0.14/11.07 fof(f110,plain,(
% 0.14/11.07 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/11.07 fof(f122,plain,(
% 0.14/11.07 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.14/11.07 inference(miniscoping,[status(thm)],[f21])).
% 0.14/11.07 fof(f123,plain,(
% 0.14/11.07 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f122])).
% 0.14/11.07 fof(f127,plain,(
% 0.14/11.07 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/11.07 fof(f128,plain,(
% 0.14/11.07 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/11.07 fof(f129,plain,(
% 0.14/11.07 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/11.07 fof(f200,plain,(
% 0.14/11.07 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f92])).
% 0.14/11.07 fof(f201,plain,(
% 0.14/11.07 member(x,universal_class)),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f93])).
% 0.14/11.07 fof(f202,plain,(
% 0.14/11.07 ~member(x,set_builder(x,z))),
% 0.14/11.07 inference(cnf_transformation,[status(thm)],[f94])).
% 0.14/11.07 fof(f203,plain,(
% 0.14/11.07 ![X0]: (subclass(X0,X0))),
% 0.14/11.07 inference(destructive_equality_resolution,[status(thm)],[f100])).
% 0.14/11.07 fof(f210,plain,(
% 0.14/11.07 ![X0]: (~subclass(X0,set_builder(x,z))|~member(x,X0))),
% 0.14/11.07 inference(resolution,[status(thm)],[f96,f202])).
% 0.14/11.07 fof(f1258,plain,(
% 0.14/11.07 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.14/11.07 inference(paramodulation,[status(thm)],[f110,f108])).
% 0.14/11.07 fof(f2726,plain,(
% 0.14/11.07 member(x,singleton(x))),
% 0.14/11.07 inference(resolution,[status(thm)],[f1258,f201])).
% 0.14/11.07 fof(f2743,plain,(
% 0.14/11.07 ~member(x,complement(singleton(x)))),
% 0.14/11.07 inference(resolution,[status(thm)],[f127,f2726])).
% 0.14/11.07 fof(f3241,plain,(
% 0.14/11.09 ![X0]: (member(x,complement(X0))|member(x,X0))),
% 0.14/11.09 inference(resolution,[status(thm)],[f128,f201])).
% 0.14/11.09 fof(f3288,plain,(
% 0.14/11.09 ![X0]: (member(x,X0)|~subclass(complement(X0),set_builder(x,z)))),
% 0.14/11.09 inference(resolution,[status(thm)],[f3241,f210])).
% 0.14/11.09 fof(f3349,plain,(
% 0.14/11.09 ![X0,X1]: (member(x,intersection(complement(X0),complement(X1)))|~subclass(union(X0,X1),set_builder(x,z)))),
% 0.14/11.09 inference(paramodulation,[status(thm)],[f129,f3288])).
% 0.14/11.09 fof(f3360,plain,(
% 0.14/11.09 ![X0,X1]: (member(x,intersection(complement(singleton(X0)),complement(X1)))|~subclass(set_builder(X0,X1),set_builder(x,z)))),
% 0.14/11.09 inference(paramodulation,[status(thm)],[f200,f3349])).
% 0.14/11.09 fof(f3409,plain,(
% 0.14/11.09 member(x,intersection(complement(singleton(x)),complement(z)))),
% 0.14/11.09 inference(resolution,[status(thm)],[f3360,f203])).
% 0.14/11.09 fof(f3419,plain,(
% 0.14/11.09 member(x,complement(singleton(x)))),
% 0.14/11.09 inference(resolution,[status(thm)],[f3409,f123])).
% 0.14/11.09 fof(f3421,plain,(
% 0.14/11.09 $false),
% 0.14/11.09 inference(forward_subsumption_resolution,[status(thm)],[f3419,f2743])).
% 0.14/11.09 % SZS output end CNFRefutation for theBenchmark.p
% 0.89/11.10 % Elapsed time: 0.556647 seconds
% 0.89/11.10 % CPU time: 4.126565 seconds
% 0.89/11.10 % Total memory used: 191.123 MB
% 0.89/11.10 % Net memory used: 182.412 MB
%------------------------------------------------------------------------------