%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET166-6 : 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 : 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 02:11:41 PM UTC 2026
% Result : Unsatisfiable 1.29s 0.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET166-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:00:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.29/0.82 % Refutation found
% 1.29/0.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.29/0.82 % SZS output start CNFRefutation for theBenchmark
% 1.29/0.82 fof(f1,axiom,(
% 1.29/0.82 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f4,axiom,(
% 1.29/0.82 (![X]: (subclass(X,universal_class) ))),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f23,axiom,(
% 1.29/0.82 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f24,axiom,(
% 1.29/0.82 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f25,axiom,(
% 1.29/0.82 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f26,axiom,(
% 1.29/0.82 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f113,negated_conjecture,(
% 1.29/0.82 member(x,union(y,z)) ),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f114,negated_conjecture,(
% 1.29/0.82 ~ member(x,y) ),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f115,negated_conjecture,(
% 1.29/0.82 ~ member(x,z) ),
% 1.29/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.82 fof(f116,plain,(
% 1.29/0.82 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 1.29/0.82 inference(miniscoping,[status(thm)],[f1])).
% 1.29/0.82 fof(f117,plain,(
% 1.29/0.82 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f116])).
% 1.29/0.82 fof(f120,plain,(
% 1.29/0.82 ![X0]: (subclass(X0,universal_class))),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f4])).
% 1.29/0.82 fof(f147,plain,(
% 1.29/0.82 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f23])).
% 1.29/0.82 fof(f148,plain,(
% 1.29/0.82 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f24])).
% 1.29/0.82 fof(f149,plain,(
% 1.29/0.82 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f25])).
% 1.29/0.82 fof(f150,plain,(
% 1.29/0.82 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f26])).
% 1.29/0.82 fof(f247,plain,(
% 1.29/0.82 member(x,union(y,z))),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f113])).
% 1.29/0.82 fof(f248,plain,(
% 1.29/0.82 ~member(x,y)),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f114])).
% 1.29/0.82 fof(f249,plain,(
% 1.29/0.82 ~member(x,z)),
% 1.29/0.82 inference(cnf_transformation,[status(thm)],[f115])).
% 1.29/0.82 fof(f373,plain,(
% 1.29/0.82 ![X0]: (~subclass(union(y,z),X0)|member(x,X0))),
% 1.29/0.82 inference(resolution,[status(thm)],[f117,f247])).
% 1.29/0.82 fof(f384,plain,(
% 1.29/0.82 member(x,universal_class)),
% 1.29/0.82 inference(resolution,[status(thm)],[f373,f120])).
% 1.29/0.82 fof(f4592,plain,(
% 1.29/0.82 ![X0]: (member(x,complement(X0))|member(x,X0))),
% 1.29/0.82 inference(resolution,[status(thm)],[f149,f384])).
% 1.29/0.82 fof(f5605,plain,(
% 1.29/0.82 ![X0,X1,X2]: (~member(X0,union(X1,X2))|~member(X0,intersection(complement(X1),complement(X2))))),
% 1.29/0.82 inference(paramodulation,[status(thm)],[f150,f148])).
% 1.29/0.82 fof(f5702,plain,(
% 1.29/0.82 ~member(x,intersection(complement(y),complement(z)))),
% 1.29/0.82 inference(resolution,[status(thm)],[f5605,f247])).
% 1.29/0.82 fof(f6010,plain,(
% 1.29/0.82 ~member(x,complement(y))|~member(x,complement(z))),
% 1.29/0.82 inference(resolution,[status(thm)],[f5702,f147])).
% 1.29/0.82 fof(f6011,definition,(
% 1.29/0.82 sQ28_spl <=> (member(x,complement(y)))),
% 1.29/0.82 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 1.29/0.82 fof(f6013,plain,(
% 1.29/0.82 ~member(x,complement(y))|sQ28_spl),
% 1.29/0.82 inference(component_clause,[status(thm)],[f6011])).
% 1.29/0.82 fof(f6014,definition,(
% 1.29/0.82 sQ29_spl <=> (member(x,complement(z)))),
% 1.29/0.82 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 1.29/0.82 fof(f6016,plain,(
% 1.29/0.82 ~member(x,complement(z))|sQ29_spl),
% 1.29/0.82 inference(component_clause,[status(thm)],[f6014])).
% 1.29/0.82 fof(f6017,plain,(
% 1.29/0.82 ~sQ28_spl|~sQ29_spl),
% 1.29/0.82 inference(split_clause,[status(thm)],[f6010,f6011,f6014])).
% 1.29/0.82 fof(f6019,plain,(
% 1.29/0.82 member(x,y)|sQ28_spl),
% 1.29/0.82 inference(resolution,[status(thm)],[f6013,f4592])).
% 3.00/0.82 fof(f6020,plain,(
% 3.00/0.82 $false|sQ28_spl),
% 3.00/0.82 inference(forward_subsumption_resolution,[status(thm)],[f6019,f248])).
% 3.00/0.82 fof(f6021,plain,(
% 3.00/0.82 sQ28_spl),
% 3.00/0.82 inference(contradiction_clause,[status(thm)],[f6020])).
% 3.00/0.82 fof(f6023,plain,(
% 3.00/0.82 member(x,z)|sQ29_spl),
% 3.00/0.82 inference(resolution,[status(thm)],[f6016,f4592])).
% 3.00/0.82 fof(f6024,plain,(
% 3.00/0.82 $false|sQ29_spl),
% 3.00/0.82 inference(forward_subsumption_resolution,[status(thm)],[f6023,f249])).
% 3.00/0.82 fof(f6025,plain,(
% 3.00/0.82 sQ29_spl),
% 3.00/0.82 inference(contradiction_clause,[status(thm)],[f6024])).
% 3.00/0.82 fof(f6026,plain,(
% 3.00/0.82 $false),
% 3.00/0.82 inference(sat_refutation,[status(thm)],[f6017,f6021,f6025])).
% 3.00/0.82 % SZS output end CNFRefutation for theBenchmark.p
% 3.00/0.85 % Elapsed time: 0.469902 seconds
% 3.00/0.85 % CPU time: 3.391843 seconds
% 3.00/0.85 % Total memory used: 218.623 MB
% 3.00/0.85 % Net memory used: 215.219 MB
%------------------------------------------------------------------------------