TSTP Solution File: SET163-6 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET163-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:34:10 EDT 2023
% Result : Unsatisfiable 110.58s 14.42s
% Output : CNFRefutation 112.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET163-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n029.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 10:35:36 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 110.58/14.42 % Refutation found
% 110.58/14.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 110.58/14.42 % SZS output start CNFRefutation for theBenchmark
% 110.58/14.42 fof(f1,axiom,(
% 110.58/14.42 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f2,axiom,(
% 110.58/14.42 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f3,axiom,(
% 110.58/14.42 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f4,axiom,(
% 110.58/14.42 (![X]: (subclass(X,universal_class) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f7,axiom,(
% 110.58/14.42 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f11,axiom,(
% 110.58/14.42 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f21,axiom,(
% 110.58/14.42 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f24,axiom,(
% 110.58/14.42 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f25,axiom,(
% 110.58/14.42 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f26,axiom,(
% 110.58/14.42 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f113,negated_conjecture,(
% 110.58/14.42 union(universal_class,x) != universal_class ),
% 110.58/14.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 110.58/14.42 fof(f114,plain,(
% 110.58/14.42 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 110.58/14.42 inference(miniscoping,[status(esa)],[f1])).
% 110.58/14.42 fof(f115,plain,(
% 110.58/14.42 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f114])).
% 110.58/14.42 fof(f116,plain,(
% 110.58/14.42 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f2])).
% 110.58/14.42 fof(f117,plain,(
% 110.58/14.42 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f3])).
% 110.58/14.42 fof(f118,plain,(
% 110.58/14.42 ![X0]: (subclass(X0,universal_class))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f4])).
% 110.58/14.42 fof(f121,plain,(
% 110.58/14.42 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f7])).
% 110.58/14.42 fof(f128,plain,(
% 110.58/14.42 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f11])).
% 110.58/14.42 fof(f141,plain,(
% 110.58/14.42 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 110.58/14.42 inference(miniscoping,[status(esa)],[f21])).
% 110.58/14.42 fof(f142,plain,(
% 110.58/14.42 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f141])).
% 110.58/14.42 fof(f146,plain,(
% 110.58/14.42 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f24])).
% 110.58/14.42 fof(f147,plain,(
% 110.58/14.42 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f25])).
% 110.58/14.42 fof(f148,plain,(
% 110.58/14.42 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f26])).
% 110.58/14.42 fof(f245,plain,(
% 110.58/14.42 ~union(universal_class,x)=universal_class),
% 110.58/14.42 inference(cnf_transformation,[status(esa)],[f113])).
% 110.58/14.42 fof(f5343,plain,(
% 110.58/14.42 ![X0,X1,X2]: (~member(X0,universal_class)|member(X0,union(X1,X2))|member(X0,intersection(complement(X1),complement(X2))))),
% 110.58/14.42 inference(paramodulation,[status(thm)],[f148,f147])).
% 110.58/14.42 fof(f7192,plain,(
% 110.58/14.42 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 110.58/14.42 inference(resolution,[status(thm)],[f118,f115])).
% 110.58/14.42 fof(f7203,plain,(
% 110.58/14.42 spl0_5 <=> subclass(union(universal_class,x),universal_class)),
% 110.58/14.42 introduced(split_symbol_definition)).
% 110.58/14.42 fof(f7205,plain,(
% 110.58/14.42 ~subclass(union(universal_class,x),universal_class)|spl0_5),
% 110.58/14.42 inference(component_clause,[status(thm)],[f7203])).
% 110.58/14.42 fof(f7206,plain,(
% 110.58/14.42 spl0_6 <=> subclass(universal_class,union(universal_class,x))),
% 110.58/14.42 introduced(split_symbol_definition)).
% 110.58/14.42 fof(f7208,plain,(
% 110.58/14.42 ~subclass(universal_class,union(universal_class,x))|spl0_6),
% 110.58/14.42 inference(component_clause,[status(thm)],[f7206])).
% 110.58/14.42 fof(f7209,plain,(
% 110.58/14.42 ~subclass(union(universal_class,x),universal_class)|~subclass(universal_class,union(universal_class,x))),
% 110.58/14.42 inference(resolution,[status(thm)],[f121,f245])).
% 110.58/14.42 fof(f7210,plain,(
% 110.58/14.42 ~spl0_5|~spl0_6),
% 110.58/14.42 inference(split_clause,[status(thm)],[f7209,f7203,f7206])).
% 110.58/14.42 fof(f7213,plain,(
% 110.58/14.42 $false|spl0_5),
% 110.58/14.42 inference(forward_subsumption_resolution,[status(thm)],[f7205,f118])).
% 110.58/14.42 fof(f7214,plain,(
% 110.58/14.42 spl0_5),
% 110.58/14.42 inference(contradiction_clause,[status(thm)],[f7213])).
% 110.58/14.42 fof(f7249,plain,(
% 110.58/14.42 member(not_subclass_element(universal_class,union(universal_class,x)),universal_class)|spl0_6),
% 110.58/14.42 inference(resolution,[status(thm)],[f7208,f116])).
% 110.58/14.42 fof(f7412,plain,(
% 110.58/14.42 spl0_20 <=> member(not_subclass_element(universal_class,union(universal_class,x)),universal_class)),
% 110.58/14.42 introduced(split_symbol_definition)).
% 110.58/14.42 fof(f7414,plain,(
% 110.58/14.42 ~member(not_subclass_element(universal_class,union(universal_class,x)),universal_class)|spl0_20),
% 110.58/14.42 inference(component_clause,[status(thm)],[f7412])).
% 110.58/14.42 fof(f7430,plain,(
% 110.58/14.42 $false|spl0_6|spl0_20),
% 110.58/14.42 inference(forward_subsumption_resolution,[status(thm)],[f7414,f7249])).
% 110.58/14.42 fof(f7431,plain,(
% 110.58/14.42 spl0_6|spl0_20),
% 110.58/14.42 inference(contradiction_clause,[status(thm)],[f7430])).
% 110.58/14.42 fof(f8562,plain,(
% 110.58/14.42 spl0_86 <=> subclass(universal_class,universal_class)),
% 110.58/14.42 introduced(split_symbol_definition)).
% 110.58/14.42 fof(f8564,plain,(
% 110.58/14.42 ~subclass(universal_class,universal_class)|spl0_86),
% 110.58/14.42 inference(component_clause,[status(thm)],[f8562])).
% 110.58/14.42 fof(f9111,plain,(
% 110.58/14.42 spl0_117 <=> ~subclass(universal_class,X0)),
% 110.58/14.42 introduced(split_symbol_definition)).
% 110.58/14.42 fof(f9112,plain,(
% 110.58/14.42 ![X0]: (~subclass(universal_class,X0)|~spl0_117)),
% 110.58/14.42 inference(component_clause,[status(thm)],[f9111])).
% 110.58/14.42 fof(f9172,plain,(
% 110.58/14.42 spl0_122 <=> ~subclass(X0,universal_class)|~subclass(universal_class,X0)),
% 110.58/14.42 introduced(split_symbol_definition)).
% 110.58/14.42 fof(f9173,plain,(
% 110.58/14.42 ![X0]: (~subclass(X0,universal_class)|~subclass(universal_class,X0)|~spl0_122)),
% 110.58/14.42 inference(component_clause,[status(thm)],[f9172])).
% 110.58/14.42 fof(f9358,plain,(
% 110.58/14.42 ![X0]: (~subclass(universal_class,X0)|~spl0_122)),
% 110.58/14.42 inference(forward_subsumption_resolution,[status(thm)],[f9173,f118])).
% 110.58/14.42 fof(f12659,plain,(
% 110.58/14.42 spl0_185 <=> ~member(X0,X1)),
% 110.58/14.42 introduced(split_symbol_definition)).
% 110.58/14.42 fof(f12660,plain,(
% 110.58/14.42 ![X0,X1]: (~member(X0,X1)|~spl0_185)),
% 110.58/14.42 inference(component_clause,[status(thm)],[f12659])).
% 110.58/14.42 fof(f13465,plain,(
% 110.58/14.42 $false|spl0_86),
% 110.58/14.42 inference(forward_subsumption_resolution,[status(thm)],[f8564,f118])).
% 110.58/14.42 fof(f13466,plain,(
% 110.58/14.42 spl0_86),
% 110.58/14.42 inference(contradiction_clause,[status(thm)],[f13465])).
% 110.58/14.42 fof(f15649,plain,(
% 110.58/14.42 $false|~spl0_122),
% 110.58/14.42 inference(resolution,[status(thm)],[f9358,f118])).
% 110.58/14.42 fof(f15650,plain,(
% 110.58/14.42 ~spl0_122),
% 110.58/14.42 inference(contradiction_clause,[status(thm)],[f15649])).
% 110.58/14.42 fof(f15651,plain,(
% 110.58/14.42 ~member(not_subclass_element(universal_class,union(universal_class,x)),union(universal_class,x))|spl0_6),
% 110.58/14.42 inference(resolution,[status(thm)],[f7208,f117])).
% 110.58/14.42 fof(f16353,plain,(
% 110.58/14.42 $false|~spl0_185),
% 110.58/14.42 inference(backward_subsumption_resolution,[status(thm)],[f128,f12660])).
% 110.58/14.42 fof(f16354,plain,(
% 110.58/14.42 ~spl0_185),
% 110.58/14.42 inference(contradiction_clause,[status(thm)],[f16353])).
% 110.58/14.42 fof(f17532,plain,(
% 110.58/14.42 $false|~spl0_117),
% 110.58/14.42 inference(resolution,[status(thm)],[f9112,f118])).
% 110.58/14.42 fof(f17533,plain,(
% 110.58/14.42 ~spl0_117),
% 110.58/14.42 inference(contradiction_clause,[status(thm)],[f17532])).
% 110.58/14.42 fof(f36157,plain,(
% 110.58/14.42 ![X0,X1,X2]: (~member(X0,intersection(complement(X1),X2))|~member(X0,X1))),
% 110.58/14.42 inference(resolution,[status(thm)],[f142,f146])).
% 110.58/14.42 fof(f42982,plain,(
% 110.58/14.42 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,universal_class)|member(X0,union(X1,X2)))),
% 110.58/14.42 inference(resolution,[status(thm)],[f36157,f5343])).
% 110.58/14.42 fof(f42983,plain,(
% 110.58/14.42 ![X0,X1,X2]: (~member(X0,X1)|member(X0,union(X1,X2)))),
% 110.58/14.42 inference(forward_subsumption_resolution,[status(thm)],[f42982,f7192])).
% 110.58/14.42 fof(f43230,plain,(
% 110.58/14.42 ~member(not_subclass_element(universal_class,union(universal_class,x)),universal_class)|spl0_6),
% 110.58/14.42 inference(resolution,[status(thm)],[f42983,f15651])).
% 112.10/14.54 fof(f43231,plain,(
% 112.10/14.54 ~spl0_20|spl0_6),
% 112.10/14.54 inference(split_clause,[status(thm)],[f43230,f7412,f7206])).
% 112.10/14.54 fof(f43435,plain,(
% 112.10/14.54 $false),
% 112.10/14.54 inference(sat_refutation,[status(thm)],[f7210,f7214,f7431,f13466,f15650,f16354,f17533,f43231])).
% 112.10/14.54 % SZS output end CNFRefutation for theBenchmark.p
% 113.09/14.73 % Elapsed time: 14.387985 seconds
% 113.09/14.73 % CPU time: 112.364417 seconds
% 113.09/14.73 % Memory used: 3.091 GB
%------------------------------------------------------------------------------