TSTP Solution File: SET134-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET134-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:34:05 EDT 2023
% Result : Unsatisfiable 12.05s 1.98s
% Output : CNFRefutation 12.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET134-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 10:35:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 12.05/1.98 % Refutation found
% 12.05/1.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.05/1.98 % SZS output start CNFRefutation for theBenchmark
% 12.05/1.98 fof(f1,axiom,(
% 12.05/1.98 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f2,axiom,(
% 12.05/1.98 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f3,axiom,(
% 12.05/1.98 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f4,axiom,(
% 12.05/1.98 (![X]: (subclass(X,universal_class) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f9,axiom,(
% 12.05/1.98 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f12,axiom,(
% 12.05/1.98 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f21,axiom,(
% 12.05/1.98 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f24,axiom,(
% 12.05/1.98 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f25,axiom,(
% 12.05/1.98 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f26,axiom,(
% 12.05/1.98 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f66,axiom,(
% 12.05/1.98 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f92,axiom,(
% 12.05/1.98 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f93,negated_conjecture,(
% 12.05/1.98 member(u,universal_class) ),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f94,negated_conjecture,(
% 12.05/1.98 set_builder(u,set_builder(y,set_builder(z,null_class))) = null_class ),
% 12.05/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.05/1.98 fof(f95,plain,(
% 12.05/1.98 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 12.05/1.98 inference(miniscoping,[status(esa)],[f1])).
% 12.05/1.98 fof(f96,plain,(
% 12.05/1.98 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f95])).
% 12.05/1.98 fof(f97,plain,(
% 12.05/1.98 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f2])).
% 12.05/1.98 fof(f98,plain,(
% 12.05/1.98 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f3])).
% 12.05/1.98 fof(f99,plain,(
% 12.05/1.98 ![X0]: (subclass(X0,universal_class))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f4])).
% 12.05/1.98 fof(f105,plain,(
% 12.05/1.98 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 12.05/1.98 inference(miniscoping,[status(esa)],[f9])).
% 12.05/1.98 fof(f106,plain,(
% 12.05/1.98 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f105])).
% 12.05/1.98 fof(f110,plain,(
% 12.05/1.98 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f12])).
% 12.05/1.98 fof(f122,plain,(
% 12.05/1.98 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 12.05/1.98 inference(miniscoping,[status(esa)],[f21])).
% 12.05/1.98 fof(f123,plain,(
% 12.05/1.98 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f122])).
% 12.05/1.98 fof(f127,plain,(
% 12.05/1.98 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f24])).
% 12.05/1.98 fof(f128,plain,(
% 12.05/1.98 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f25])).
% 12.05/1.98 fof(f129,plain,(
% 12.05/1.98 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f26])).
% 12.05/1.98 fof(f169,plain,(
% 12.05/1.98 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f66])).
% 12.05/1.98 fof(f200,plain,(
% 12.05/1.98 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f92])).
% 12.05/1.98 fof(f201,plain,(
% 12.05/1.98 member(u,universal_class)),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f93])).
% 12.05/1.98 fof(f202,plain,(
% 12.05/1.98 set_builder(u,set_builder(y,set_builder(z,null_class)))=null_class),
% 12.05/1.98 inference(cnf_transformation,[status(esa)],[f94])).
% 12.05/1.98 fof(f220,plain,(
% 12.05/1.98 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 12.05/1.98 inference(resolution,[status(thm)],[f127,f169])).
% 12.05/1.98 fof(f223,plain,(
% 12.05/1.98 ![X0,X1,X2]: (~member(X0,X1)|~subclass(X2,complement(X1))|~member(X0,X2))),
% 12.05/1.98 inference(resolution,[status(thm)],[f127,f96])).
% 12.05/1.98 fof(f240,plain,(
% 12.05/1.98 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 12.05/1.98 inference(paramodulation,[status(thm)],[f110,f106])).
% 12.05/1.98 fof(f255,plain,(
% 12.05/1.98 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 12.05/1.98 inference(resolution,[status(thm)],[f123,f97])).
% 12.05/1.98 fof(f767,plain,(
% 12.05/1.98 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 12.05/1.98 inference(resolution,[status(thm)],[f96,f99])).
% 12.05/1.98 fof(f1056,plain,(
% 12.05/1.98 spl0_64 <=> complement(universal_class)=null_class),
% 12.05/1.98 introduced(split_symbol_definition)).
% 12.05/1.98 fof(f1057,plain,(
% 12.05/1.98 complement(universal_class)=null_class|~spl0_64),
% 12.05/1.98 inference(component_clause,[status(thm)],[f1056])).
% 12.05/1.98 fof(f1059,plain,(
% 12.05/1.98 spl0_65 <=> ~member(regular(complement(universal_class)),X0)),
% 12.05/1.98 introduced(split_symbol_definition)).
% 12.05/1.98 fof(f1060,plain,(
% 12.05/1.98 ![X0]: (~member(regular(complement(universal_class)),X0)|~spl0_65)),
% 12.05/1.98 inference(component_clause,[status(thm)],[f1059])).
% 12.05/1.98 fof(f1062,plain,(
% 12.05/1.98 ![X0]: (complement(universal_class)=null_class|~member(regular(complement(universal_class)),X0))),
% 12.05/1.98 inference(resolution,[status(thm)],[f220,f767])).
% 12.05/1.98 fof(f1063,plain,(
% 12.05/1.98 spl0_64|spl0_65),
% 12.05/1.98 inference(split_clause,[status(thm)],[f1062,f1056,f1059])).
% 12.05/1.98 fof(f1182,plain,(
% 12.05/1.98 ![X0]: (~member(X0,null_class)|~member(X0,universal_class)|~spl0_64)),
% 12.05/1.98 inference(paramodulation,[status(thm)],[f1057,f127])).
% 12.05/1.98 fof(f1183,plain,(
% 12.05/1.98 ![X0]: (~member(X0,null_class)|~spl0_64)),
% 12.05/1.98 inference(forward_subsumption_resolution,[status(thm)],[f1182,f767])).
% 12.05/1.98 fof(f1184,plain,(
% 12.05/1.98 complement(universal_class)=null_class|~spl0_65),
% 12.05/1.98 inference(resolution,[status(thm)],[f1060,f169])).
% 12.05/1.98 fof(f1227,plain,(
% 12.05/1.98 spl0_64|~spl0_65),
% 12.05/1.98 inference(split_clause,[status(thm)],[f1184,f1056,f1059])).
% 12.05/1.98 fof(f4920,plain,(
% 12.05/1.98 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 12.05/1.98 inference(resolution,[status(thm)],[f255,f98])).
% 12.05/1.98 fof(f4921,plain,(
% 12.05/1.98 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 12.05/1.98 inference(duplicate_literals_removal,[status(esa)],[f4920])).
% 12.05/1.98 fof(f5005,plain,(
% 12.05/1.98 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,intersection(complement(X1),X2)))),
% 12.05/1.98 inference(resolution,[status(thm)],[f4921,f223])).
% 12.05/1.98 fof(f7204,plain,(
% 12.05/1.98 spl0_407 <=> member(u,null_class)),
% 12.05/1.98 introduced(split_symbol_definition)).
% 12.05/1.98 fof(f7205,plain,(
% 12.05/1.98 member(u,null_class)|~spl0_407),
% 12.05/1.98 inference(component_clause,[status(thm)],[f7204])).
% 12.05/1.98 fof(f7209,plain,(
% 12.05/1.98 $false|~spl0_64|~spl0_407),
% 12.05/1.98 inference(forward_subsumption_resolution,[status(thm)],[f7205,f1183])).
% 12.05/1.98 fof(f7210,plain,(
% 12.05/1.98 ~spl0_64|~spl0_407),
% 12.05/1.98 inference(contradiction_clause,[status(thm)],[f7209])).
% 12.05/1.98 fof(f7225,plain,(
% 12.05/1.98 ![X0]: (member(u,complement(X0))|member(u,X0))),
% 12.05/1.98 inference(resolution,[status(thm)],[f128,f201])).
% 12.05/1.98 fof(f7256,plain,(
% 12.05/1.98 ![X0,X1]: (member(u,union(X0,X1))|member(u,intersection(complement(X0),complement(X1))))),
% 12.05/1.98 inference(paramodulation,[status(thm)],[f129,f7225])).
% 12.05/1.98 fof(f7567,plain,(
% 12.05/1.98 ![X0,X1]: (member(u,union(X0,X1))|~member(u,X0))),
% 12.05/1.98 inference(resolution,[status(thm)],[f7256,f5005])).
% 12.05/1.98 fof(f7585,plain,(
% 12.05/1.98 ![X0,X1]: (member(u,set_builder(X0,X1))|~member(u,singleton(X0)))),
% 12.05/1.98 inference(paramodulation,[status(thm)],[f200,f7567])).
% 12.05/1.98 fof(f7599,plain,(
% 12.05/1.98 spl0_420 <=> member(u,singleton(u))),
% 12.05/1.98 introduced(split_symbol_definition)).
% 12.05/1.98 fof(f7601,plain,(
% 12.05/1.98 ~member(u,singleton(u))|spl0_420),
% 12.05/1.98 inference(component_clause,[status(thm)],[f7599])).
% 12.05/1.98 fof(f7602,plain,(
% 12.05/1.98 member(u,null_class)|~member(u,singleton(u))),
% 12.05/1.98 inference(paramodulation,[status(thm)],[f202,f7585])).
% 12.05/1.98 fof(f7603,plain,(
% 12.05/2.00 spl0_407|~spl0_420),
% 12.05/2.00 inference(split_clause,[status(thm)],[f7602,f7204,f7599])).
% 12.05/2.00 fof(f8072,plain,(
% 12.05/2.00 ~member(u,universal_class)|spl0_420),
% 12.05/2.00 inference(resolution,[status(thm)],[f7601,f240])).
% 12.05/2.00 fof(f8073,plain,(
% 12.05/2.00 $false|spl0_420),
% 12.05/2.00 inference(forward_subsumption_resolution,[status(thm)],[f8072,f201])).
% 12.05/2.00 fof(f8074,plain,(
% 12.05/2.00 spl0_420),
% 12.05/2.00 inference(contradiction_clause,[status(thm)],[f8073])).
% 12.05/2.00 fof(f8075,plain,(
% 12.05/2.00 $false),
% 12.05/2.00 inference(sat_refutation,[status(thm)],[f1063,f1227,f7210,f7603,f8074])).
% 12.05/2.00 % SZS output end CNFRefutation for theBenchmark.p
% 12.05/2.01 % Elapsed time: 1.666853 seconds
% 12.05/2.01 % CPU time: 12.380153 seconds
% 12.05/2.01 % Memory used: 121.600 MB
%------------------------------------------------------------------------------