TSTP Solution File: SET125-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:34:04 EDT 2023
% Result : Unsatisfiable 0.15s 0.67s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:15:32 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.67 % Refutation found
% 0.15/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.67 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.67 fof(f1,axiom,(
% 0.15/0.67 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f4,axiom,(
% 0.15/0.67 (![X]: (subclass(X,universal_class) ))),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f5,axiom,(
% 0.15/0.67 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f22,axiom,(
% 0.15/0.67 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f24,axiom,(
% 0.15/0.67 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f25,axiom,(
% 0.15/0.67 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f26,axiom,(
% 0.15/0.67 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f92,axiom,(
% 0.15/0.67 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f93,negated_conjecture,(
% 0.15/0.67 member(x,z) ),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f94,negated_conjecture,(
% 0.15/0.67 ~ member(x,set_builder(y,z)) ),
% 0.15/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.67 fof(f95,plain,(
% 0.15/0.67 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.15/0.67 inference(miniscoping,[status(esa)],[f1])).
% 0.15/0.67 fof(f96,plain,(
% 0.15/0.67 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f95])).
% 0.15/0.67 fof(f99,plain,(
% 0.15/0.67 ![X0]: (subclass(X0,universal_class))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.67 fof(f100,plain,(
% 0.15/0.67 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.67 fof(f124,plain,(
% 0.15/0.67 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.15/0.67 inference(miniscoping,[status(esa)],[f22])).
% 0.15/0.67 fof(f125,plain,(
% 0.15/0.67 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f124])).
% 0.15/0.67 fof(f127,plain,(
% 0.15/0.67 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.67 fof(f128,plain,(
% 0.15/0.67 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.67 fof(f129,plain,(
% 0.15/0.67 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.67 fof(f200,plain,(
% 0.15/0.67 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f92])).
% 0.15/0.67 fof(f201,plain,(
% 0.15/0.67 member(x,z)),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f93])).
% 0.15/0.67 fof(f202,plain,(
% 0.15/0.67 ~member(x,set_builder(y,z))),
% 0.15/0.67 inference(cnf_transformation,[status(esa)],[f94])).
% 0.15/0.67 fof(f203,plain,(
% 0.15/0.67 ![X0]: (subclass(X0,X0))),
% 0.15/0.67 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.15/0.67 fof(f206,plain,(
% 0.15/0.67 ![X0]: (~subclass(z,X0)|member(x,X0))),
% 0.15/0.67 inference(resolution,[status(thm)],[f96,f201])).
% 0.15/0.67 fof(f208,plain,(
% 0.15/0.67 ![X0]: (~subclass(X0,set_builder(y,z))|~member(x,X0))),
% 0.15/0.67 inference(resolution,[status(thm)],[f96,f202])).
% 0.15/0.67 fof(f240,plain,(
% 0.15/0.67 member(x,universal_class)),
% 0.15/0.67 inference(resolution,[status(thm)],[f99,f206])).
% 0.15/0.67 fof(f295,plain,(
% 0.15/0.67 spl0_2 <=> member(x,universal_class)),
% 0.15/0.67 introduced(split_symbol_definition)).
% 0.15/0.67 fof(f297,plain,(
% 0.15/0.67 ~member(x,universal_class)|spl0_2),
% 0.15/0.67 inference(component_clause,[status(thm)],[f295])).
% 0.15/0.67 fof(f303,plain,(
% 0.15/0.67 $false|spl0_2),
% 0.15/0.67 inference(forward_subsumption_resolution,[status(thm)],[f297,f240])).
% 0.15/0.67 fof(f304,plain,(
% 0.15/0.67 spl0_2),
% 0.15/0.67 inference(contradiction_clause,[status(thm)],[f303])).
% 0.15/0.67 fof(f416,plain,(
% 0.15/0.67 spl0_14 <=> member(x,X0)|~subclass(complement(X0),set_builder(y,z))),
% 0.15/0.67 introduced(split_symbol_definition)).
% 0.15/0.67 fof(f417,plain,(
% 0.15/0.67 ![X0]: (member(x,X0)|~subclass(complement(X0),set_builder(y,z))|~spl0_14)),
% 0.15/0.67 inference(component_clause,[status(thm)],[f416])).
% 0.15/0.67 fof(f419,plain,(
% 0.15/0.67 ![X0]: (~member(x,universal_class)|member(x,X0)|~subclass(complement(X0),set_builder(y,z)))),
% 0.15/0.67 inference(resolution,[status(thm)],[f128,f208])).
% 0.15/0.67 fof(f420,plain,(
% 0.15/0.67 ~spl0_2|spl0_14),
% 0.15/0.67 inference(split_clause,[status(thm)],[f419,f295,f416])).
% 0.15/0.67 fof(f494,plain,(
% 0.15/0.67 ![X0,X1]: (member(x,intersection(complement(X0),complement(X1)))|~subclass(union(X0,X1),set_builder(y,z))|~spl0_14)),
% 0.15/0.67 inference(paramodulation,[status(thm)],[f129,f417])).
% 0.15/0.67 fof(f501,plain,(
% 0.15/0.67 ![X0,X1]: (member(x,intersection(complement(singleton(X0)),complement(X1)))|~subclass(set_builder(X0,X1),set_builder(y,z))|~spl0_14)),
% 0.15/0.67 inference(paramodulation,[status(thm)],[f200,f494])).
% 0.15/0.67 fof(f502,plain,(
% 0.15/0.67 member(x,intersection(complement(singleton(y)),complement(z)))|~spl0_14),
% 0.15/0.67 inference(resolution,[status(thm)],[f501,f203])).
% 0.15/0.67 fof(f1102,plain,(
% 0.15/0.67 member(x,complement(z))|~spl0_14),
% 0.15/0.67 inference(resolution,[status(thm)],[f502,f125])).
% 0.15/0.67 fof(f1107,plain,(
% 0.15/0.67 ~member(x,z)|~spl0_14),
% 0.15/0.67 inference(resolution,[status(thm)],[f1102,f127])).
% 0.15/0.67 fof(f1108,plain,(
% 0.15/0.67 $false|~spl0_14),
% 0.15/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1107,f201])).
% 0.15/0.67 fof(f1109,plain,(
% 0.15/0.67 ~spl0_14),
% 0.15/0.67 inference(contradiction_clause,[status(thm)],[f1108])).
% 0.15/0.67 fof(f1110,plain,(
% 0.15/0.67 $false),
% 0.15/0.67 inference(sat_refutation,[status(thm)],[f304,f420,f1109])).
% 0.15/0.67 % SZS output end CNFRefutation for theBenchmark.p
% 2.02/0.69 % Elapsed time: 0.384246 seconds
% 2.02/0.69 % CPU time: 2.057178 seconds
% 2.02/0.69 % Memory used: 78.787 MB
%------------------------------------------------------------------------------