%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET085-6 : 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 : n002.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 02:11:29 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET085-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:53:33 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,axiom,(
% 0.13/0.39 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f92,negated_conjecture,(
% 0.13/0.39 unordered_pair(y,z) = singleton(x) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f93,negated_conjecture,(
% 0.13/0.39 member(x,universal_class) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f94,negated_conjecture,(
% 0.13/0.39 x != y ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f95,negated_conjecture,(
% 0.13/0.39 x != z ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.39 fof(f105,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f106])).
% 0.13/0.39 fof(f111,plain,(
% 0.13/0.39 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f201,plain,(
% 0.13/0.39 unordered_pair(y,z)=singleton(x)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f92])).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 member(x,universal_class)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f93])).
% 0.13/0.39 fof(f203,plain,(
% 0.13/0.39 ~x=y),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f94])).
% 0.13/0.39 fof(f204,plain,(
% 0.13/0.39 ~x=z),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.13/0.39 fof(f208,plain,(
% 0.13/0.39 ![X0]: (~member(X0,singleton(x))|X0=y|X0=z)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f201,f105])).
% 0.13/0.39 fof(f215,plain,(
% 0.13/0.39 ![X0]: (member(x,unordered_pair(x,X0)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f107,f202])).
% 0.13/0.39 fof(f217,plain,(
% 0.13/0.39 member(x,singleton(x))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f111,f215])).
% 0.13/0.39 fof(f237,plain,(
% 0.13/0.39 x=y|x=z),
% 0.13/0.39 inference(resolution,[status(thm)],[f208,f217])).
% 0.13/0.39 fof(f238,definition,(
% 0.13/0.39 sQ2_spl <=> (x=y)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f239,plain,(
% 0.13/0.39 x=y|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f238])).
% 0.13/0.39 fof(f241,definition,(
% 0.13/0.39 sQ3_spl <=> (x=z)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f242,plain,(
% 0.13/0.39 x=z|~sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.39 fof(f244,plain,(
% 0.13/0.39 sQ2_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f237,f238,f241])).
% 0.13/0.39 fof(f245,plain,(
% 0.13/0.39 $false|~sQ2_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f239,f203])).
% 0.13/0.39 fof(f246,plain,(
% 0.13/0.39 ~sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f245])).
% 0.13/0.39 fof(f247,plain,(
% 0.13/0.39 $false|~sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f242,f204])).
% 0.13/0.39 fof(f248,plain,(
% 0.13/0.39 ~sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f247])).
% 0.13/0.39 fof(f249,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f244,f246,f248])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.053748 seconds
% 0.13/0.41 % CPU time: 0.149743 seconds
% 0.13/0.41 % Total memory used: 104.552 MB
% 0.13/0.41 % Net memory used: 104.482 MB
%------------------------------------------------------------------------------