TSTP Solution File: SET014-4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET014-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:33:32 EDT 2023
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET014-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:14:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.51 fof(f1,axiom,(
% 0.20/0.51 (![X,Y]: (( ~ member(X,Y)| little_set(X) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f7,axiom,(
% 0.20/0.51 (![Z,X,Y]: (( member(Z,intersection(X,Y))| ~ member(Z,X)| ~ member(Z,Y) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f8,axiom,(
% 0.20/0.51 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f9,axiom,(
% 0.20/0.51 (![Z,X]: (( member(Z,complement(X))| ~ little_set(Z)| member(Z,X) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f10,axiom,(
% 0.20/0.51 (![X,Y]: (union(X,Y) = complement(intersection(complement(X),complement(Y))) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f13,axiom,(
% 0.20/0.51 (![X,Y,U]: (( ~ subset(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f14,axiom,(
% 0.20/0.51 (![X,Y]: (( subset(X,Y)| member(f17(X,Y),X) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f15,axiom,(
% 0.20/0.51 (![X,Y]: (( subset(X,Y)| ~ member(f17(X,Y),Y) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f16,hypothesis,(
% 0.20/0.51 subset(as,cs) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f17,hypothesis,(
% 0.20/0.51 subset(bs,cs) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f18,negated_conjecture,(
% 0.20/0.51 ~ subset(union(as,bs),cs) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f19,plain,(
% 0.20/0.51 ![X]: ((![Y]: ~member(X,Y))|little_set(X))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f1])).
% 0.20/0.51 fof(f20,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,X1)|little_set(X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.51 fof(f28,plain,(
% 0.20/0.51 ![Z,Y]: ((![X]: (member(Z,intersection(X,Y))|~member(Z,X)))|~member(Z,Y))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f7])).
% 0.20/0.51 fof(f29,plain,(
% 0.20/0.51 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.51 fof(f30,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.51 fof(f31,plain,(
% 0.20/0.51 ![X0,X1]: (member(X0,complement(X1))|~little_set(X0)|member(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.51 fof(f32,plain,(
% 0.20/0.51 ![X0,X1]: (union(X0,X1)=complement(intersection(complement(X0),complement(X1))))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.51 fof(f35,plain,(
% 0.20/0.51 ![Y,U]: ((![X]: (~subset(X,Y)|~member(U,X)))|member(U,Y))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f13])).
% 0.20/0.51 fof(f36,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f35])).
% 0.20/0.51 fof(f37,plain,(
% 0.20/0.51 ![X0,X1]: (subset(X0,X1)|member(f17(X0,X1),X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.51 fof(f38,plain,(
% 0.20/0.51 ![X0,X1]: (subset(X0,X1)|~member(f17(X0,X1),X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.51 fof(f39,plain,(
% 0.20/0.51 subset(as,cs)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.51 fof(f40,plain,(
% 0.20/0.51 subset(bs,cs)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.51 fof(f41,plain,(
% 0.20/0.51 ~subset(union(as,bs),cs)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.51 fof(f58,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~member(X0,union(X1,X2))|~member(X0,intersection(complement(X1),complement(X2))))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f32,f30])).
% 0.20/0.51 fof(f71,plain,(
% 0.20/0.51 member(f17(union(as,bs),cs),union(as,bs))),
% 0.20/0.51 inference(resolution,[status(thm)],[f37,f41])).
% 0.20/0.51 fof(f76,plain,(
% 0.20/0.51 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~member(f17(X0,X1),X2))),
% 0.20/0.51 inference(resolution,[status(thm)],[f38,f36])).
% 0.20/0.51 fof(f87,plain,(
% 0.20/0.51 ![X0,X1,X2]: (member(X0,complement(X1))|member(X0,X1)|~member(X0,X2))),
% 0.20/0.51 inference(resolution,[status(thm)],[f31,f20])).
% 0.20/0.51 fof(f180,plain,(
% 0.20/0.51 ![X0]: (subset(X0,cs)|~member(f17(X0,cs),bs))),
% 0.20/0.51 inference(resolution,[status(thm)],[f76,f40])).
% 0.20/0.51 fof(f181,plain,(
% 0.20/0.51 ![X0]: (subset(X0,cs)|~member(f17(X0,cs),as))),
% 0.20/0.51 inference(resolution,[status(thm)],[f76,f39])).
% 0.20/0.51 fof(f188,plain,(
% 0.20/0.51 ~member(f17(union(as,bs),cs),intersection(complement(as),complement(bs)))),
% 0.20/0.51 inference(resolution,[status(thm)],[f58,f71])).
% 0.20/0.51 fof(f218,plain,(
% 0.20/0.51 spl0_4 <=> member(f17(union(as,bs),cs),complement(as))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f220,plain,(
% 0.20/0.51 ~member(f17(union(as,bs),cs),complement(as))|spl0_4),
% 0.20/0.51 inference(component_clause,[status(thm)],[f218])).
% 0.20/0.51 fof(f320,plain,(
% 0.20/0.51 spl0_10 <=> member(f17(union(as,bs),cs),complement(bs))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f322,plain,(
% 0.20/0.51 ~member(f17(union(as,bs),cs),complement(bs))|spl0_10),
% 0.20/0.51 inference(component_clause,[status(thm)],[f320])).
% 0.20/0.51 fof(f323,plain,(
% 0.20/0.51 ~member(f17(union(as,bs),cs),complement(as))|~member(f17(union(as,bs),cs),complement(bs))),
% 0.20/0.51 inference(resolution,[status(thm)],[f29,f188])).
% 0.20/0.51 fof(f324,plain,(
% 0.20/0.51 ~spl0_4|~spl0_10),
% 0.20/0.51 inference(split_clause,[status(thm)],[f323,f218,f320])).
% 0.20/0.51 fof(f344,plain,(
% 0.20/0.51 spl0_11 <=> ~member(f17(union(as,bs),cs),X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f345,plain,(
% 0.20/0.51 ![X0]: (~member(f17(union(as,bs),cs),X0)|~spl0_11)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f344])).
% 0.20/0.51 fof(f367,plain,(
% 0.20/0.51 $false|~spl0_11),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f71,f345])).
% 0.20/0.51 fof(f368,plain,(
% 0.20/0.51 ~spl0_11),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f367])).
% 0.20/0.51 fof(f377,plain,(
% 0.20/0.51 spl0_14 <=> member(f17(union(as,bs),cs),as)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f378,plain,(
% 0.20/0.51 member(f17(union(as,bs),cs),as)|~spl0_14),
% 0.20/0.51 inference(component_clause,[status(thm)],[f377])).
% 0.20/0.51 fof(f1337,plain,(
% 0.20/0.51 spl0_66 <=> member(f17(union(as,bs),cs),bs)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1338,plain,(
% 0.20/0.51 member(f17(union(as,bs),cs),bs)|~spl0_66),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1337])).
% 0.20/0.51 fof(f1340,plain,(
% 0.20/0.51 ![X0]: (member(f17(union(as,bs),cs),bs)|~member(f17(union(as,bs),cs),X0)|spl0_10)),
% 0.20/0.51 inference(resolution,[status(thm)],[f322,f87])).
% 0.20/0.51 fof(f1341,plain,(
% 0.20/0.51 spl0_66|spl0_11|spl0_10),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1340,f1337,f344,f320])).
% 0.20/0.51 fof(f2064,plain,(
% 0.20/0.51 subset(union(as,bs),cs)|~spl0_66),
% 0.20/0.51 inference(resolution,[status(thm)],[f1338,f180])).
% 0.20/0.51 fof(f2065,plain,(
% 0.20/0.51 $false|~spl0_66),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2064,f41])).
% 0.20/0.51 fof(f2066,plain,(
% 0.20/0.51 ~spl0_66),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2065])).
% 0.20/0.51 fof(f2073,plain,(
% 0.20/0.51 ![X0]: (member(f17(union(as,bs),cs),as)|~member(f17(union(as,bs),cs),X0)|spl0_4)),
% 0.20/0.51 inference(resolution,[status(thm)],[f220,f87])).
% 0.20/0.51 fof(f2074,plain,(
% 0.20/0.51 spl0_14|spl0_11|spl0_4),
% 0.20/0.51 inference(split_clause,[status(thm)],[f2073,f377,f344,f218])).
% 0.20/0.51 fof(f2078,plain,(
% 0.20/0.51 subset(union(as,bs),cs)|~spl0_14),
% 0.20/0.51 inference(resolution,[status(thm)],[f378,f181])).
% 0.20/0.51 fof(f2079,plain,(
% 0.20/0.51 $false|~spl0_14),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2078,f41])).
% 0.20/0.51 fof(f2080,plain,(
% 0.20/0.51 ~spl0_14),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2079])).
% 0.20/0.51 fof(f2081,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(sat_refutation,[status(thm)],[f324,f368,f1341,f2066,f2074,f2080])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.52 % Elapsed time: 0.165719 seconds
% 0.20/0.52 % CPU time: 1.198768 seconds
% 0.20/0.52 % Memory used: 71.566 MB
%------------------------------------------------------------------------------