%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET014-2 : 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 : n014.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 02:11:10 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET014-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n014.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 04:41:25 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.12/5.94 % Refutation found
% 0.12/5.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.94 % SZS output start CNFRefutation for theBenchmark
% 0.12/5.94 fof(f2,axiom,(
% 0.12/5.94 (![Element,Subset,Superset]: (( ~ member(Element,Subset)| ~ subset(Subset,Superset)| member(Element,Superset) ) ))),
% 0.12/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.94 fof(f3,axiom,(
% 0.12/5.94 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.12/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.94 fof(f4,axiom,(
% 0.12/5.94 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.12/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.94 fof(f9,axiom,(
% 0.12/5.94 (![X,Xs,Ys]: (( ~ member(X,union(Xs,Ys))| member(X,Xs)| member(X,Ys) ) ))),
% 0.12/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.94 fof(f22,hypothesis,(
% 0.12/5.94 subset(as,cs) ),
% 0.12/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.94 fof(f23,hypothesis,(
% 0.12/5.94 subset(bs,cs) ),
% 0.12/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.94 fof(f24,negated_conjecture,(
% 0.12/5.94 ~ subset(union(as,bs),cs) ),
% 0.12/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.94 fof(f26,plain,(
% 0.12/5.94 ![Element,Superset]: ((![Subset]: (~member(Element,Subset)|~subset(Subset,Superset)))|member(Element,Superset))),
% 0.12/5.94 inference(miniscoping,[status(thm)],[f2])).
% 0.12/5.94 fof(f27,plain,(
% 0.12/5.94 ![X0,X1,X2]: (~member(X0,X1)|~subset(X1,X2)|member(X0,X2))),
% 0.12/5.94 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/5.94 fof(f28,plain,(
% 0.12/5.94 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.12/5.94 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/5.94 fof(f29,plain,(
% 0.12/5.94 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.12/5.94 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/5.94 fof(f36,plain,(
% 0.12/5.94 ![X,Ys]: ((![Xs]: (~member(X,union(Xs,Ys))|member(X,Xs)))|member(X,Ys))),
% 0.12/5.94 inference(miniscoping,[status(thm)],[f9])).
% 0.12/5.94 fof(f37,plain,(
% 0.12/5.94 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.12/5.94 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/5.94 fof(f54,plain,(
% 0.12/5.94 subset(as,cs)),
% 0.12/5.94 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/5.94 fof(f55,plain,(
% 0.12/5.94 subset(bs,cs)),
% 0.12/5.94 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/5.94 fof(f56,plain,(
% 0.12/5.94 ~subset(union(as,bs),cs)),
% 0.12/5.94 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/5.94 fof(f57,plain,(
% 0.12/5.94 ![X0]: (~member(X0,as)|member(X0,cs))),
% 0.12/5.94 inference(resolution,[status(thm)],[f54,f27])).
% 0.12/5.94 fof(f66,plain,(
% 0.12/5.94 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(member_of_1_not_of_2(union(X0,X1),X2),X0)|member(member_of_1_not_of_2(union(X0,X1),X2),X1))),
% 0.12/5.94 inference(resolution,[status(thm)],[f28,f37])).
% 0.12/5.94 fof(f69,plain,(
% 0.12/5.94 ![X0]: (subset(X0,cs)|~member(member_of_1_not_of_2(X0,cs),as))),
% 0.12/5.94 inference(resolution,[status(thm)],[f29,f57])).
% 0.12/5.94 fof(f72,plain,(
% 0.12/5.94 ![X0,X1,X2]: (subset(X0,X1)|~member(member_of_1_not_of_2(X0,X1),X2)|~subset(X2,X1))),
% 0.12/5.94 inference(resolution,[status(thm)],[f29,f27])).
% 0.12/5.94 fof(f93,plain,(
% 0.12/5.94 ![X0]: (subset(union(as,X0),cs)|member(member_of_1_not_of_2(union(as,X0),cs),X0)|subset(union(as,X0),cs))),
% 0.12/5.94 inference(resolution,[status(thm)],[f66,f69])).
% 0.12/5.94 fof(f117,plain,(
% 0.12/5.94 ![X0]: (subset(union(as,X0),cs)|member(member_of_1_not_of_2(union(as,X0),cs),X0))),
% 0.12/5.94 inference(duplicate_literals_removal,[status(thm)],[f93])).
% 0.12/5.94 fof(f158,plain,(
% 0.12/5.94 ![X0]: (subset(X0,cs)|~member(member_of_1_not_of_2(X0,cs),bs))),
% 0.12/5.94 inference(resolution,[status(thm)],[f72,f55])).
% 0.12/5.94 fof(f768,definition,(
% 0.12/5.94 sQ13_spl <=> (subset(union(as,bs),cs))),
% 0.12/5.94 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/5.94 fof(f769,plain,(
% 0.12/5.94 subset(union(as,bs),cs)|~sQ13_spl),
% 0.12/5.94 inference(component_clause,[status(thm)],[f768])).
% 0.12/5.94 fof(f786,plain,(
% 0.12/5.94 $false|~sQ13_spl),
% 0.12/5.94 inference(forward_subsumption_resolution,[status(thm)],[f769,f56])).
% 0.12/5.94 fof(f787,plain,(
% 0.12/5.94 ~sQ13_spl),
% 0.12/5.94 inference(contradiction_clause,[status(thm)],[f786])).
% 0.12/5.94 fof(f4128,plain,(
% 0.12/5.94 subset(union(as,bs),cs)|subset(union(as,bs),cs)),
% 0.12/5.94 inference(resolution,[status(thm)],[f117,f158])).
% 0.12/5.94 fof(f4137,plain,(
% 0.12/5.94 sQ13_spl),
% 0.12/5.94 inference(split_clause,[status(thm)],[f4128,f768])).
% 0.12/5.94 fof(f4141,plain,(
% 0.12/5.95 $false),
% 0.12/5.95 inference(sat_refutation,[status(thm)],[f787,f4137])).
% 0.12/5.95 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.97 % Elapsed time: 0.591576 seconds
% 0.12/5.97 % CPU time: 4.549253 seconds
% 0.12/5.97 % Total memory used: 77.906 MB
% 0.12/5.97 % Net memory used: 71.662 MB
%------------------------------------------------------------------------------