%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET085-7 : 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 : n013.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 02:11:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET085-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:50:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f8,axiom,(
% 0.14/0.38 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,axiom,(
% 0.14/0.38 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f12,axiom,(
% 0.14/0.38 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f129,negated_conjecture,(
% 0.14/0.38 unordered_pair(y,z) = singleton(x) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f130,negated_conjecture,(
% 0.14/0.38 member(x,universal_class) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f131,negated_conjecture,(
% 0.14/0.38 x != y ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f132,negated_conjecture,(
% 0.14/0.38 x != z ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f141,plain,(
% 0.14/0.38 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.38 fof(f142,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f141])).
% 0.14/0.38 fof(f143,plain,(
% 0.14/0.38 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f9])).
% 0.14/0.38 fof(f144,plain,(
% 0.14/0.38 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f143])).
% 0.14/0.38 fof(f148,plain,(
% 0.14/0.38 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.38 fof(f288,plain,(
% 0.14/0.38 unordered_pair(y,z)=singleton(x)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f129])).
% 0.14/0.38 fof(f289,plain,(
% 0.14/0.38 member(x,universal_class)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f130])).
% 0.14/0.38 fof(f290,plain,(
% 0.14/0.38 ~x=y),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f131])).
% 0.14/0.38 fof(f291,plain,(
% 0.14/0.38 ~x=z),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f132])).
% 0.14/0.38 fof(f295,plain,(
% 0.14/0.38 ![X0]: (~member(X0,singleton(x))|X0=y|X0=z)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f288,f142])).
% 0.14/0.38 fof(f322,plain,(
% 0.14/0.38 ![X0]: (member(x,unordered_pair(x,X0)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f144,f289])).
% 0.14/0.38 fof(f346,plain,(
% 0.14/0.38 member(x,singleton(x))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f148,f322])).
% 0.14/0.38 fof(f361,plain,(
% 0.14/0.38 x=y|x=z),
% 0.14/0.38 inference(resolution,[status(thm)],[f295,f346])).
% 0.14/0.38 fof(f362,definition,(
% 0.14/0.38 sQ2_spl <=> (x=y)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f363,plain,(
% 0.14/0.38 x=y|~sQ2_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f362])).
% 0.14/0.38 fof(f365,definition,(
% 0.14/0.38 sQ3_spl <=> (x=z)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f366,plain,(
% 0.14/0.38 x=z|~sQ3_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f365])).
% 0.14/0.38 fof(f368,plain,(
% 0.14/0.38 sQ2_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f361,f362,f365])).
% 0.14/0.38 fof(f369,plain,(
% 0.14/0.38 $false|~sQ2_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f363,f290])).
% 0.14/0.38 fof(f370,plain,(
% 0.14/0.38 ~sQ2_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f369])).
% 0.14/0.38 fof(f371,plain,(
% 0.14/0.38 $false|~sQ3_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f366,f291])).
% 0.14/0.38 fof(f372,plain,(
% 0.14/0.38 ~sQ3_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f371])).
% 0.14/0.38 fof(f373,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f368,f370,f372])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.043493 seconds
% 0.14/0.41 % CPU time: 0.104116 seconds
% 0.14/0.41 % Total memory used: 26.666 MB
% 0.14/0.41 % Net memory used: 26.652 MB
%------------------------------------------------------------------------------