%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET515-6 : 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 : n008.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 02:12:08 PM UTC 2026
% Result : Unsatisfiable 3.36s 0.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET515-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n008.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 05:23:38 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 3.36/0.95 % Refutation found
% 3.36/0.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.36/0.95 % SZS output start CNFRefutation for theBenchmark
% 3.36/0.95 fof(f1,axiom,(
% 3.36/0.95 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f4,axiom,(
% 3.36/0.95 (![X]: (subclass(X,universal_class) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f8,axiom,(
% 3.36/0.95 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f9,axiom,(
% 3.36/0.95 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f12,axiom,(
% 3.36/0.95 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f23,axiom,(
% 3.36/0.95 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f24,axiom,(
% 3.36/0.95 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f66,axiom,(
% 3.36/0.95 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f67,axiom,(
% 3.36/0.95 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f113,negated_conjecture,(
% 3.36/0.95 member(x,x) ),
% 3.36/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.95 fof(f114,plain,(
% 3.36/0.95 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 3.36/0.95 inference(miniscoping,[status(thm)],[f1])).
% 3.36/0.95 fof(f115,plain,(
% 3.36/0.95 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f114])).
% 3.36/0.95 fof(f118,plain,(
% 3.36/0.95 ![X0]: (subclass(X0,universal_class))),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f4])).
% 3.36/0.95 fof(f122,plain,(
% 3.36/0.95 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 3.36/0.95 inference(miniscoping,[status(thm)],[f8])).
% 3.36/0.95 fof(f123,plain,(
% 3.36/0.95 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f122])).
% 3.36/0.95 fof(f124,plain,(
% 3.36/0.95 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 3.36/0.95 inference(miniscoping,[status(thm)],[f9])).
% 3.36/0.95 fof(f125,plain,(
% 3.36/0.95 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f124])).
% 3.36/0.95 fof(f129,plain,(
% 3.36/0.95 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f12])).
% 3.36/0.95 fof(f145,plain,(
% 3.36/0.95 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f23])).
% 3.36/0.95 fof(f146,plain,(
% 3.36/0.95 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f24])).
% 3.36/0.95 fof(f188,plain,(
% 3.36/0.95 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f66])).
% 3.36/0.95 fof(f189,plain,(
% 3.36/0.95 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f67])).
% 3.36/0.95 fof(f245,plain,(
% 3.36/0.95 member(x,x)),
% 3.36/0.95 inference(cnf_transformation,[status(thm)],[f113])).
% 3.36/0.95 fof(f248,plain,(
% 3.36/0.95 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 3.36/0.95 inference(resolution,[status(thm)],[f115,f118])).
% 3.36/0.95 fof(f255,plain,(
% 3.36/0.95 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 3.36/0.95 inference(resolution,[status(thm)],[f248,f188])).
% 3.36/0.95 fof(f261,plain,(
% 3.36/0.95 member(x,universal_class)),
% 3.36/0.95 inference(resolution,[status(thm)],[f248,f245])).
% 3.36/0.95 fof(f270,plain,(
% 3.36/0.95 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 3.36/0.95 inference(resolution,[status(thm)],[f146,f188])).
% 3.36/0.95 fof(f279,plain,(
% 3.36/0.95 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 3.36/0.95 inference(paramodulation,[status(thm)],[f129,f123])).
% 3.36/0.95 fof(f280,plain,(
% 3.36/0.95 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 3.36/0.95 inference(duplicate_literals_removal,[status(thm)],[f279])).
% 3.36/0.95 fof(f288,plain,(
% 3.36/0.95 ![X0]: (member(x,unordered_pair(x,X0)))),
% 3.36/0.95 inference(resolution,[status(thm)],[f125,f261])).
% 3.36/0.95 fof(f299,plain,(
% 3.36/0.95 member(x,singleton(x))),
% 3.36/0.97 inference(paramodulation,[status(thm)],[f129,f288])).
% 3.36/0.97 fof(f304,plain,(
% 3.36/0.97 ![X0]: (regular(singleton(X0))=X0|singleton(X0)=null_class)),
% 3.36/0.97 inference(resolution,[status(thm)],[f280,f188])).
% 3.36/0.97 fof(f355,plain,(
% 3.36/0.97 ![X0]: (singleton(X0)=null_class|intersection(singleton(X0),X0)=null_class|singleton(X0)=null_class)),
% 3.36/0.97 inference(paramodulation,[status(thm)],[f304,f189])).
% 3.36/0.97 fof(f358,plain,(
% 3.36/0.97 ![X0]: (singleton(X0)=null_class|intersection(singleton(X0),X0)=null_class)),
% 3.36/0.97 inference(duplicate_literals_removal,[status(thm)],[f355])).
% 3.36/0.97 fof(f806,plain,(
% 3.36/0.97 ![X0]: (~member(x,X0)|member(x,intersection(singleton(x),X0)))),
% 3.36/0.97 inference(resolution,[status(thm)],[f145,f299])).
% 3.36/0.97 fof(f2206,plain,(
% 3.36/0.97 member(x,intersection(singleton(x),x))),
% 3.36/0.97 inference(resolution,[status(thm)],[f806,f245])).
% 3.36/0.97 fof(f2258,plain,(
% 3.36/0.97 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 3.36/0.97 inference(resolution,[status(thm)],[f270,f255])).
% 3.36/0.97 fof(f2263,plain,(
% 3.36/0.97 complement(universal_class)=null_class),
% 3.36/0.97 inference(duplicate_literals_removal,[status(thm)],[f2258])).
% 3.36/0.97 fof(f2275,plain,(
% 3.36/0.97 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 3.36/0.97 inference(paramodulation,[status(thm)],[f2263,f146])).
% 3.36/0.97 fof(f2276,plain,(
% 3.36/0.97 ![X0]: (~member(X0,null_class))),
% 3.36/0.97 inference(forward_subsumption_resolution,[status(thm)],[f2275,f248])).
% 3.36/0.97 fof(f2657,plain,(
% 3.36/0.97 member(x,null_class)|singleton(x)=null_class),
% 3.36/0.97 inference(paramodulation,[status(thm)],[f358,f2206])).
% 3.36/0.97 fof(f2663,plain,(
% 3.36/0.97 singleton(x)=null_class),
% 3.36/0.97 inference(forward_subsumption_resolution,[status(thm)],[f2657,f2276])).
% 3.36/0.97 fof(f2678,plain,(
% 3.36/0.97 member(x,null_class)),
% 3.36/0.97 inference(backward_demodulation,[status(thm)],[f2663,f299])).
% 3.36/0.97 fof(f2713,plain,(
% 3.36/0.97 $false),
% 3.36/0.97 inference(forward_subsumption_resolution,[status(thm)],[f2678,f2276])).
% 3.36/0.97 % SZS output end CNFRefutation for theBenchmark.p
% 3.36/1.00 % Elapsed time: 0.551439 seconds
% 3.36/1.00 % CPU time: 3.793136 seconds
% 3.36/1.00 % Total memory used: 151.681 MB
% 3.36/1.00 % Net memory used: 146.591 MB
%------------------------------------------------------------------------------