%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET497-6 : 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 : n026.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 02:12:07 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.98s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET497-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 05:24:22 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.26/0.98 % Refutation found
% 0.26/0.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.98 % SZS output start CNFRefutation for theBenchmark
% 0.26/0.98 fof(f1,axiom,(
% 0.26/0.98 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f4,axiom,(
% 0.26/0.98 (![X]: (subclass(X,universal_class) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f8,axiom,(
% 0.26/0.98 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f9,axiom,(
% 0.26/0.98 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f12,axiom,(
% 0.26/0.98 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f23,axiom,(
% 0.26/0.98 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f24,axiom,(
% 0.26/0.98 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f66,axiom,(
% 0.26/0.98 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f67,axiom,(
% 0.26/0.98 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f113,negated_conjecture,(
% 0.26/0.98 member(z,diagonalise(element_relation)) ),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f114,negated_conjecture,(
% 0.26/0.98 member(z,z) ),
% 0.26/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.98 fof(f115,plain,(
% 0.26/0.98 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.26/0.98 inference(miniscoping,[status(thm)],[f1])).
% 0.26/0.98 fof(f116,plain,(
% 0.26/0.98 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f115])).
% 0.26/0.98 fof(f119,plain,(
% 0.26/0.98 ![X0]: (subclass(X0,universal_class))),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f4])).
% 0.26/0.98 fof(f123,plain,(
% 0.26/0.98 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.26/0.98 inference(miniscoping,[status(thm)],[f8])).
% 0.26/0.98 fof(f124,plain,(
% 0.26/0.98 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f123])).
% 0.26/0.98 fof(f125,plain,(
% 0.26/0.98 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.26/0.98 inference(miniscoping,[status(thm)],[f9])).
% 0.26/0.98 fof(f126,plain,(
% 0.26/0.98 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f125])).
% 0.26/0.98 fof(f130,plain,(
% 0.26/0.98 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f12])).
% 0.26/0.98 fof(f146,plain,(
% 0.26/0.98 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f23])).
% 0.26/0.98 fof(f147,plain,(
% 0.26/0.98 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f24])).
% 0.26/0.98 fof(f189,plain,(
% 0.26/0.98 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f66])).
% 0.26/0.98 fof(f190,plain,(
% 0.26/0.98 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f67])).
% 0.26/0.98 fof(f246,plain,(
% 0.26/0.98 member(z,diagonalise(element_relation))),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f113])).
% 0.26/0.98 fof(f247,plain,(
% 0.26/0.98 member(z,z)),
% 0.26/0.98 inference(cnf_transformation,[status(thm)],[f114])).
% 0.26/0.98 fof(f253,plain,(
% 0.26/0.98 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.26/0.98 inference(resolution,[status(thm)],[f116,f119])).
% 0.26/0.98 fof(f269,plain,(
% 0.26/0.98 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.26/0.98 inference(paramodulation,[status(thm)],[f130,f124])).
% 0.26/0.98 fof(f270,plain,(
% 0.26/0.98 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.26/0.98 inference(duplicate_literals_removal,[status(thm)],[f269])).
% 0.26/0.98 fof(f272,plain,(
% 0.26/0.98 ![X0]: (singleton(X0)=null_class|regular(singleton(X0))=X0)),
% 0.26/0.98 inference(resolution,[status(thm)],[f189,f270])).
% 0.26/0.98 fof(f276,plain,(
% 0.26/0.98 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 0.26/0.98 inference(resolution,[status(thm)],[f253,f189])).
% 0.26/1.00 fof(f283,plain,(
% 0.26/1.00 member(z,universal_class)),
% 0.26/1.00 inference(resolution,[status(thm)],[f253,f246])).
% 0.26/1.00 fof(f291,plain,(
% 0.26/1.00 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 0.26/1.00 inference(resolution,[status(thm)],[f147,f189])).
% 0.26/1.00 fof(f318,plain,(
% 0.26/1.00 ![X0]: (member(z,unordered_pair(z,X0)))),
% 0.26/1.00 inference(resolution,[status(thm)],[f126,f283])).
% 0.26/1.00 fof(f334,plain,(
% 0.26/1.00 member(z,singleton(z))),
% 0.26/1.00 inference(paramodulation,[status(thm)],[f130,f318])).
% 0.26/1.00 fof(f373,plain,(
% 0.26/1.00 ![X0]: (singleton(X0)=null_class|intersection(singleton(X0),X0)=null_class|singleton(X0)=null_class)),
% 0.26/1.00 inference(paramodulation,[status(thm)],[f272,f190])).
% 0.26/1.00 fof(f376,plain,(
% 0.26/1.00 ![X0]: (singleton(X0)=null_class|intersection(singleton(X0),X0)=null_class)),
% 0.26/1.00 inference(duplicate_literals_removal,[status(thm)],[f373])).
% 0.26/1.00 fof(f449,plain,(
% 0.26/1.00 ![X0]: (~member(z,X0)|member(z,intersection(singleton(z),X0)))),
% 0.26/1.00 inference(resolution,[status(thm)],[f146,f334])).
% 0.26/1.00 fof(f2332,plain,(
% 0.26/1.00 member(z,intersection(singleton(z),z))),
% 0.26/1.00 inference(resolution,[status(thm)],[f449,f247])).
% 0.26/1.00 fof(f2762,plain,(
% 0.26/1.00 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 0.26/1.00 inference(resolution,[status(thm)],[f291,f276])).
% 0.26/1.00 fof(f2771,plain,(
% 0.26/1.00 complement(universal_class)=null_class),
% 0.26/1.00 inference(duplicate_literals_removal,[status(thm)],[f2762])).
% 0.26/1.00 fof(f2788,plain,(
% 0.26/1.00 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 0.26/1.00 inference(paramodulation,[status(thm)],[f2771,f147])).
% 0.26/1.00 fof(f2789,plain,(
% 0.26/1.00 ![X0]: (~member(X0,null_class))),
% 0.26/1.00 inference(forward_subsumption_resolution,[status(thm)],[f2788,f253])).
% 0.26/1.00 fof(f3120,plain,(
% 0.26/1.00 member(z,null_class)|singleton(z)=null_class),
% 0.26/1.00 inference(paramodulation,[status(thm)],[f376,f2332])).
% 0.26/1.00 fof(f3129,plain,(
% 0.26/1.00 singleton(z)=null_class),
% 0.26/1.00 inference(forward_subsumption_resolution,[status(thm)],[f3120,f2789])).
% 0.26/1.00 fof(f3145,plain,(
% 0.26/1.00 member(z,null_class)),
% 0.26/1.00 inference(backward_demodulation,[status(thm)],[f3129,f334])).
% 0.26/1.00 fof(f3179,plain,(
% 0.26/1.00 $false),
% 0.26/1.00 inference(forward_subsumption_resolution,[status(thm)],[f3145,f2789])).
% 0.26/1.00 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/1.02 % Elapsed time: 0.576196 seconds
% 0.26/1.02 % CPU time: 3.417924 seconds
% 0.26/1.02 % Total memory used: 150.057 MB
% 0.26/1.02 % Net memory used: 145.557 MB
%------------------------------------------------------------------------------