TSTP Solution File: SET014-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:33:31 EDT 2023
% Result : Unsatisfiable 3.43s 0.97s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:23:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 3.43/0.97 % Refutation found
% 3.43/0.97 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.43/0.97 % SZS output start CNFRefutation for theBenchmark
% 3.43/0.97 fof(f2,axiom,(
% 3.43/0.97 (![Element,Subset,Superset]: (( ~ member(Element,Subset)| ~ subset(Subset,Superset)| member(Element,Superset) ) ))),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f3,axiom,(
% 3.43/0.97 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f4,axiom,(
% 3.43/0.97 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f9,axiom,(
% 3.43/0.97 (![X,Xs,Ys]: (( ~ member(X,union(Xs,Ys))| member(X,Xs)| member(X,Ys) ) ))),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f10,axiom,(
% 3.43/0.97 (![X,Xs,Ys]: (( ~ member(X,Xs)| ~ member(X,Ys)| member(X,intersection(Xs,Ys)) ) ))),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f12,axiom,(
% 3.43/0.97 (![X,Xs,Ys]: (( ~ member(X,intersection(Xs,Ys))| member(X,Ys) ) ))),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f22,hypothesis,(
% 3.43/0.97 subset(as,cs) ),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f23,hypothesis,(
% 3.43/0.97 subset(bs,cs) ),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f24,negated_conjecture,(
% 3.43/0.97 ~ subset(union(as,bs),cs) ),
% 3.43/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/0.97 fof(f26,plain,(
% 3.43/0.97 ![Element,Superset]: ((![Subset]: (~member(Element,Subset)|~subset(Subset,Superset)))|member(Element,Superset))),
% 3.43/0.97 inference(miniscoping,[status(esa)],[f2])).
% 3.43/0.97 fof(f27,plain,(
% 3.43/0.97 ![X0,X1,X2]: (~member(X0,X1)|~subset(X1,X2)|member(X0,X2))),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f26])).
% 3.43/0.97 fof(f28,plain,(
% 3.43/0.97 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f3])).
% 3.43/0.97 fof(f29,plain,(
% 3.43/0.97 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f4])).
% 3.43/0.97 fof(f36,plain,(
% 3.43/0.97 ![X,Ys]: ((![Xs]: (~member(X,union(Xs,Ys))|member(X,Xs)))|member(X,Ys))),
% 3.43/0.97 inference(miniscoping,[status(esa)],[f9])).
% 3.43/0.97 fof(f37,plain,(
% 3.43/0.97 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f36])).
% 3.43/0.97 fof(f38,plain,(
% 3.43/0.97 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f10])).
% 3.43/0.97 fof(f41,plain,(
% 3.43/0.97 ![X,Ys]: ((![Xs]: ~member(X,intersection(Xs,Ys)))|member(X,Ys))),
% 3.43/0.97 inference(miniscoping,[status(esa)],[f12])).
% 3.43/0.97 fof(f42,plain,(
% 3.43/0.97 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f41])).
% 3.43/0.97 fof(f54,plain,(
% 3.43/0.97 subset(as,cs)),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f22])).
% 3.43/0.97 fof(f55,plain,(
% 3.43/0.97 subset(bs,cs)),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f23])).
% 3.43/0.97 fof(f56,plain,(
% 3.43/0.97 ~subset(union(as,bs),cs)),
% 3.43/0.97 inference(cnf_transformation,[status(esa)],[f24])).
% 3.43/0.97 fof(f57,plain,(
% 3.43/0.97 ![X0]: (~member(X0,as)|member(X0,cs))),
% 3.43/0.97 inference(resolution,[status(thm)],[f54,f27])).
% 3.43/0.97 fof(f58,plain,(
% 3.43/0.97 ![X0]: (~member(X0,bs)|member(X0,cs))),
% 3.43/0.97 inference(resolution,[status(thm)],[f55,f27])).
% 3.43/0.97 fof(f72,plain,(
% 3.43/0.97 ~member(member_of_1_not_of_2(union(as,bs),cs),cs)),
% 3.43/0.97 inference(resolution,[status(thm)],[f29,f56])).
% 3.43/0.97 fof(f79,plain,(
% 3.43/0.97 ~member(member_of_1_not_of_2(union(as,bs),cs),bs)),
% 3.43/0.97 inference(resolution,[status(thm)],[f72,f58])).
% 3.43/0.97 fof(f80,plain,(
% 3.43/0.97 ~member(member_of_1_not_of_2(union(as,bs),cs),as)),
% 3.43/0.97 inference(resolution,[status(thm)],[f72,f57])).
% 3.43/0.97 fof(f89,plain,(
% 3.43/0.97 ![X0]: (~member(member_of_1_not_of_2(union(as,bs),cs),union(X0,bs))|member(member_of_1_not_of_2(union(as,bs),cs),X0))),
% 3.43/0.97 inference(resolution,[status(thm)],[f79,f37])).
% 3.43/0.97 fof(f91,plain,(
% 3.43/0.97 ![X0]: (~member(member_of_1_not_of_2(union(as,bs),cs),intersection(X0,as)))),
% 3.43/0.97 inference(resolution,[status(thm)],[f80,f42])).
% 3.43/0.97 fof(f101,plain,(
% 3.43/0.97 spl0_0 <=> ~member(member_of_1_not_of_2(union(as,bs),cs),X0)),
% 3.43/0.97 introduced(split_symbol_definition)).
% 3.43/0.98 fof(f102,plain,(
% 3.43/0.98 ![X0]: (~member(member_of_1_not_of_2(union(as,bs),cs),X0)|~spl0_0)),
% 3.43/0.98 inference(component_clause,[status(thm)],[f101])).
% 3.43/0.98 fof(f142,plain,(
% 3.43/0.98 spl0_3 <=> member(member_of_1_not_of_2(union(as,bs),cs),as)),
% 3.43/0.98 introduced(split_symbol_definition)).
% 3.43/0.98 fof(f145,plain,(
% 3.43/0.98 ![X0]: (~member(member_of_1_not_of_2(union(as,bs),cs),X0)|~member(member_of_1_not_of_2(union(as,bs),cs),as))),
% 3.43/0.98 inference(resolution,[status(thm)],[f91,f38])).
% 3.43/0.98 fof(f146,plain,(
% 3.43/0.98 spl0_0|~spl0_3),
% 3.43/0.98 inference(split_clause,[status(thm)],[f145,f101,f142])).
% 3.43/0.98 fof(f191,plain,(
% 3.43/0.98 subset(union(as,bs),cs)|~spl0_0),
% 3.43/0.98 inference(resolution,[status(thm)],[f102,f28])).
% 3.43/0.98 fof(f192,plain,(
% 3.43/0.98 $false|~spl0_0),
% 3.43/0.98 inference(forward_subsumption_resolution,[status(thm)],[f191,f56])).
% 3.43/0.98 fof(f193,plain,(
% 3.43/0.98 ~spl0_0),
% 3.43/0.98 inference(contradiction_clause,[status(thm)],[f192])).
% 3.43/0.98 fof(f2415,plain,(
% 3.43/0.98 spl0_97 <=> subset(union(as,bs),cs)),
% 3.43/0.98 introduced(split_symbol_definition)).
% 3.43/0.98 fof(f2416,plain,(
% 3.43/0.98 subset(union(as,bs),cs)|~spl0_97),
% 3.43/0.98 inference(component_clause,[status(thm)],[f2415])).
% 3.43/0.98 fof(f2418,plain,(
% 3.43/0.98 member(member_of_1_not_of_2(union(as,bs),cs),as)|subset(union(as,bs),cs)),
% 3.43/0.98 inference(resolution,[status(thm)],[f89,f28])).
% 3.43/0.98 fof(f2419,plain,(
% 3.43/0.98 spl0_3|spl0_97),
% 3.43/0.98 inference(split_clause,[status(thm)],[f2418,f142,f2415])).
% 3.43/0.98 fof(f2428,plain,(
% 3.43/0.98 $false|~spl0_97),
% 3.43/0.98 inference(forward_subsumption_resolution,[status(thm)],[f2416,f56])).
% 3.43/0.98 fof(f2429,plain,(
% 3.43/0.98 ~spl0_97),
% 3.43/0.98 inference(contradiction_clause,[status(thm)],[f2428])).
% 3.43/0.98 fof(f2430,plain,(
% 3.43/0.98 $false),
% 3.43/0.98 inference(sat_refutation,[status(thm)],[f146,f193,f2419,f2429])).
% 3.43/0.98 % SZS output end CNFRefutation for theBenchmark.p
% 3.43/1.00 % Elapsed time: 0.643461 seconds
% 3.43/1.00 % CPU time: 3.615941 seconds
% 3.43/1.00 % Memory used: 43.160 MB
%------------------------------------------------------------------------------