%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET071-7 : 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 : n005.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 02:11:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET071-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n005.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Mon Sep 21 04:50:28 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.39 % Drodi V4.1.1
% 0.14/10.46 % Refutation found
% 0.14/10.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.46 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.46 fof(f1,axiom,(
% 0.14/10.46 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f4,axiom,(
% 0.14/10.46 (![X]: (subclass(X,universal_class) ))),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f8,axiom,(
% 0.14/10.46 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f12,axiom,(
% 0.14/10.46 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f66,axiom,(
% 0.14/10.46 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f111,axiom,(
% 0.14/10.46 (![Y,X]: (( member(Y,universal_class)| unordered_pair(X,Y) = singleton(X) ) ))),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f113,negated_conjecture,(
% 0.14/10.46 unordered_pair(x,y) != null_class ),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f114,negated_conjecture,(
% 0.14/10.46 ~ member(x,universal_class) ),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f115,negated_conjecture,(
% 0.14/10.46 ~ member(y,universal_class) ),
% 0.14/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.46 fof(f116,plain,(
% 0.14/10.46 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.14/10.46 inference(miniscoping,[status(thm)],[f1])).
% 0.14/10.46 fof(f117,plain,(
% 0.14/10.46 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f116])).
% 0.14/10.46 fof(f120,plain,(
% 0.14/10.46 ![X0]: (subclass(X0,universal_class))),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/10.46 fof(f124,plain,(
% 0.14/10.46 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.14/10.46 inference(miniscoping,[status(thm)],[f8])).
% 0.14/10.46 fof(f125,plain,(
% 0.14/10.46 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f124])).
% 0.14/10.46 fof(f131,plain,(
% 0.14/10.46 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/10.46 fof(f190,plain,(
% 0.14/10.46 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f66])).
% 0.14/10.46 fof(f245,plain,(
% 0.14/10.46 ![Y]: (member(Y,universal_class)|(![X]: unordered_pair(X,Y)=singleton(X)))),
% 0.14/10.46 inference(miniscoping,[status(thm)],[f111])).
% 0.14/10.46 fof(f246,plain,(
% 0.14/10.46 ![X0,X1]: (member(X0,universal_class)|unordered_pair(X1,X0)=singleton(X1))),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f245])).
% 0.14/10.46 fof(f249,plain,(
% 0.14/10.46 ~unordered_pair(x,y)=null_class),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f113])).
% 0.14/10.46 fof(f250,plain,(
% 0.14/10.46 ~member(x,universal_class)),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f114])).
% 0.14/10.46 fof(f251,plain,(
% 0.14/10.46 ~member(y,universal_class)),
% 0.14/10.46 inference(cnf_transformation,[status(thm)],[f115])).
% 0.14/10.46 fof(f290,plain,(
% 0.14/10.46 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.14/10.46 inference(paramodulation,[status(thm)],[f131,f125])).
% 0.14/10.46 fof(f291,plain,(
% 0.14/10.46 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.14/10.46 inference(duplicate_literals_removal,[status(thm)],[f290])).
% 0.14/10.47 fof(f297,plain,(
% 0.14/10.47 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.14/10.47 inference(resolution,[status(thm)],[f117,f120])).
% 0.14/10.47 fof(f342,plain,(
% 0.14/10.47 ![X0]: (singleton(X0)=null_class|regular(singleton(X0))=X0)),
% 0.14/10.47 inference(resolution,[status(thm)],[f190,f291])).
% 0.14/10.47 fof(f356,plain,(
% 0.14/10.47 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 0.14/10.47 inference(resolution,[status(thm)],[f297,f190])).
% 0.14/10.47 fof(f478,plain,(
% 0.14/10.47 ![X0]: (member(X0,universal_class)|singleton(X0)=null_class|singleton(X0)=null_class)),
% 0.14/10.47 inference(paramodulation,[status(thm)],[f342,f356])).
% 0.14/10.47 fof(f480,plain,(
% 0.14/10.47 ![X0]: (member(X0,universal_class)|singleton(X0)=null_class)),
% 0.14/10.47 inference(duplicate_literals_removal,[status(thm)],[f478])).
% 0.14/10.47 fof(f482,plain,(
% 0.14/10.47 singleton(x)=null_class),
% 0.14/10.47 inference(resolution,[status(thm)],[f480,f250])).
% 0.14/10.47 fof(f2370,plain,(
% 0.14/10.47 ![X0]: (unordered_pair(X0,y)=singleton(X0))),
% 0.14/10.47 inference(resolution,[status(thm)],[f246,f251])).
% 0.14/10.47 fof(f2383,plain,(
% 0.14/10.47 ~singleton(x)=null_class),
% 0.14/10.47 inference(backward_demodulation,[status(thm)],[f2370,f249])).
% 0.14/10.47 fof(f2412,plain,(
% 0.14/10.47 ~null_class=null_class),
% 0.14/10.47 inference(forward_demodulation,[status(thm)],[f482,f2383])).
% 0.14/10.47 fof(f2413,plain,(
% 0.14/10.47 $false),
% 0.14/10.47 inference(trivial_equality_resolution,[status(thm)],[f2412])).
% 0.14/10.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.48 % Elapsed time: 0.094387 seconds
% 0.14/10.48 % CPU time: 0.507195 seconds
% 0.14/10.48 % Total memory used: 114.325 MB
% 0.14/10.48 % Net memory used: 113.608 MB
%------------------------------------------------------------------------------