TSTP Solution File: SET079-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET079-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 : Tue Apr 30 20:39:01 EDT 2024
% Result : Unsatisfiable 0.11s 0.33s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET079-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n016.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 22:04:10 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.11/0.33 % Refutation found
% 0.11/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.33 fof(f9,axiom,(
% 0.11/0.33 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f12,axiom,(
% 0.11/0.33 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f21,axiom,(
% 0.11/0.33 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f24,axiom,(
% 0.11/0.33 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f67,axiom,(
% 0.11/0.33 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f92,negated_conjecture,(
% 0.11/0.33 member(x,universal_class) ),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f93,negated_conjecture,(
% 0.11/0.33 singleton(x) = null_class ),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f104,plain,(
% 0.11/0.33 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f9])).
% 0.11/0.33 fof(f105,plain,(
% 0.11/0.33 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f104])).
% 0.11/0.33 fof(f109,plain,(
% 0.11/0.33 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.33 fof(f121,plain,(
% 0.11/0.33 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f21])).
% 0.11/0.33 fof(f122,plain,(
% 0.11/0.33 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.33 fof(f126,plain,(
% 0.11/0.33 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f24])).
% 0.11/0.33 fof(f169,plain,(
% 0.11/0.33 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f67])).
% 0.11/0.33 fof(f199,plain,(
% 0.11/0.33 member(x,universal_class)),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f92])).
% 0.11/0.33 fof(f200,plain,(
% 0.11/0.33 singleton(x)=null_class),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f93])).
% 0.11/0.33 fof(f226,plain,(
% 0.11/0.33 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 0.11/0.33 inference(paramodulation,[status(thm)],[f169,f122])).
% 0.11/0.33 fof(f241,plain,(
% 0.11/0.33 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.11/0.33 inference(paramodulation,[status(thm)],[f109,f105])).
% 0.11/0.33 fof(f243,plain,(
% 0.11/0.33 spl0_3 <=> member(x,universal_class)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f245,plain,(
% 0.11/0.33 ~member(x,universal_class)|spl0_3),
% 0.11/0.33 inference(component_clause,[status(thm)],[f243])).
% 0.11/0.33 fof(f246,plain,(
% 0.11/0.33 spl0_4 <=> member(x,null_class)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f247,plain,(
% 0.11/0.33 member(x,null_class)|~spl0_4),
% 0.11/0.33 inference(component_clause,[status(thm)],[f246])).
% 0.11/0.33 fof(f249,plain,(
% 0.11/0.33 ~member(x,universal_class)|member(x,null_class)),
% 0.11/0.33 inference(paramodulation,[status(thm)],[f200,f241])).
% 0.11/0.33 fof(f250,plain,(
% 0.11/0.33 ~spl0_3|spl0_4),
% 0.11/0.33 inference(split_clause,[status(thm)],[f249,f243,f246])).
% 0.11/0.33 fof(f251,plain,(
% 0.11/0.33 $false|spl0_3),
% 0.11/0.33 inference(forward_subsumption_resolution,[status(thm)],[f245,f199])).
% 0.11/0.33 fof(f252,plain,(
% 0.11/0.33 spl0_3),
% 0.11/0.33 inference(contradiction_clause,[status(thm)],[f251])).
% 0.11/0.33 fof(f268,plain,(
% 0.11/0.33 ![X0]: (member(x,X0)|X0=null_class|~spl0_4)),
% 0.11/0.33 inference(resolution,[status(thm)],[f226,f247])).
% 0.11/0.33 fof(f276,plain,(
% 0.11/0.33 ![X0]: (complement(X0)=null_class|~member(x,X0)|~spl0_4)),
% 0.11/0.33 inference(resolution,[status(thm)],[f268,f126])).
% 0.11/0.33 fof(f280,plain,(
% 0.11/0.33 ![X0]: (complement(X0)=null_class|X0=null_class|~spl0_4)),
% 0.11/0.33 inference(resolution,[status(thm)],[f276,f268])).
% 0.11/0.33 fof(f297,plain,(
% 0.11/0.33 ![X0,X1]: (~member(X0,null_class)|~member(X0,X1)|X1=null_class|~spl0_4)),
% 0.11/0.33 inference(paramodulation,[status(thm)],[f280,f126])).
% 0.11/0.33 fof(f298,plain,(
% 0.11/0.33 ![X0,X1]: (~member(X0,null_class)|X1=null_class|~spl0_4)),
% 0.11/0.33 inference(forward_subsumption_resolution,[status(thm)],[f297,f226])).
% 0.11/0.33 fof(f314,plain,(
% 0.11/0.33 spl0_14 <=> member(x,X1)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f315,plain,(
% 0.11/0.33 ![X0]: (member(x,X0)|~spl0_14)),
% 0.11/0.33 inference(component_clause,[status(thm)],[f314])).
% 0.11/0.33 fof(f363,plain,(
% 0.11/0.33 ![X0]: (~member(x,X0)|~spl0_14)),
% 0.11/0.33 inference(resolution,[status(thm)],[f315,f126])).
% 0.11/0.33 fof(f364,plain,(
% 0.11/0.33 $false|~spl0_14),
% 0.11/0.33 inference(forward_subsumption_resolution,[status(thm)],[f363,f315])).
% 0.11/0.33 fof(f365,plain,(
% 0.11/0.33 ~spl0_14),
% 0.11/0.33 inference(contradiction_clause,[status(thm)],[f364])).
% 0.11/0.33 fof(f369,plain,(
% 0.11/0.33 ![X0]: (X0=null_class|~spl0_4)),
% 0.11/0.33 inference(resolution,[status(thm)],[f298,f247])).
% 0.11/0.33 fof(f383,plain,(
% 0.11/0.33 ![X0]: (member(x,X0)|~spl0_4)),
% 0.11/0.33 inference(paramodulation,[status(thm)],[f369,f247])).
% 0.11/0.33 fof(f384,plain,(
% 0.11/0.33 spl0_14|~spl0_4),
% 0.11/0.33 inference(split_clause,[status(thm)],[f383,f314,f246])).
% 0.11/0.33 fof(f387,plain,(
% 0.11/0.33 $false),
% 0.11/0.33 inference(sat_refutation,[status(thm)],[f250,f252,f365,f384])).
% 0.11/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.35 % Elapsed time: 0.074228 seconds
% 0.11/0.35 % CPU time: 0.471925 seconds
% 0.11/0.35 % Total memory used: 67.811 MB
% 0.11/0.35 % Net memory used: 67.301 MB
%------------------------------------------------------------------------------