TSTP Solution File: SET074-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET074-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:33:52 EDT 2023
% Result : Unsatisfiable 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET074-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:23:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.35 % Drodi V3.5.1
% 0.21/0.40 % Refutation found
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.40 fof(f8,axiom,(
% 0.21/0.40 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.21/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f10,axiom,(
% 0.21/0.40 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f12,axiom,(
% 0.21/0.40 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.21/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f21,axiom,(
% 0.21/0.40 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f24,axiom,(
% 0.21/0.40 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f67,axiom,(
% 0.21/0.40 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.21/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f92,negated_conjecture,(
% 0.21/0.40 member(y,universal_class) ),
% 0.21/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f93,negated_conjecture,(
% 0.21/0.40 unordered_pair(x,y) = null_class ),
% 0.21/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f102,plain,(
% 0.21/0.40 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f8])).
% 0.21/0.40 fof(f103,plain,(
% 0.21/0.40 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f102])).
% 0.21/0.40 fof(f106,plain,(
% 0.21/0.40 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f10])).
% 0.21/0.40 fof(f107,plain,(
% 0.21/0.40 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f106])).
% 0.21/0.40 fof(f109,plain,(
% 0.21/0.40 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.40 fof(f121,plain,(
% 0.21/0.40 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f21])).
% 0.21/0.40 fof(f122,plain,(
% 0.21/0.40 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f121])).
% 0.21/0.40 fof(f126,plain,(
% 0.21/0.40 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.40 fof(f169,plain,(
% 0.21/0.40 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f67])).
% 0.21/0.40 fof(f199,plain,(
% 0.21/0.40 member(y,universal_class)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f92])).
% 0.21/0.40 fof(f200,plain,(
% 0.21/0.40 unordered_pair(x,y)=null_class),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f93])).
% 0.21/0.40 fof(f214,plain,(
% 0.21/0.40 spl0_2 <=> member(y,universal_class)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f216,plain,(
% 0.21/0.40 ~member(y,universal_class)|spl0_2),
% 0.21/0.40 inference(component_clause,[status(thm)],[f214])).
% 0.21/0.40 fof(f217,plain,(
% 0.21/0.40 spl0_3 <=> member(y,null_class)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f218,plain,(
% 0.21/0.40 member(y,null_class)|~spl0_3),
% 0.21/0.40 inference(component_clause,[status(thm)],[f217])).
% 0.21/0.40 fof(f220,plain,(
% 0.21/0.40 ~member(y,universal_class)|member(y,null_class)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f200,f107])).
% 0.21/0.40 fof(f221,plain,(
% 0.21/0.40 ~spl0_2|spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f220,f214,f217])).
% 0.21/0.40 fof(f222,plain,(
% 0.21/0.40 $false|spl0_2),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f216,f199])).
% 0.21/0.40 fof(f223,plain,(
% 0.21/0.40 spl0_2),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f222])).
% 0.21/0.40 fof(f266,plain,(
% 0.21/0.40 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f109,f103])).
% 0.21/0.40 fof(f267,plain,(
% 0.21/0.40 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.21/0.40 inference(duplicate_literals_removal,[status(esa)],[f266])).
% 0.21/0.40 fof(f676,plain,(
% 0.21/0.40 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f169,f122])).
% 0.21/0.40 fof(f710,plain,(
% 0.21/0.40 ![X0]: (member(y,X0)|X0=null_class|~spl0_3)),
% 0.21/0.40 inference(resolution,[status(thm)],[f676,f218])).
% 0.21/0.40 fof(f714,plain,(
% 0.21/0.40 ![X0]: (singleton(X0)=null_class|y=X0|~spl0_3)),
% 0.21/0.40 inference(resolution,[status(thm)],[f710,f267])).
% 0.21/0.40 fof(f741,plain,(
% 0.21/0.40 ![X0,X1]: (~member(X0,null_class)|X0=X1|y=X1|~spl0_3)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f714,f267])).
% 0.21/0.40 fof(f886,plain,(
% 0.21/0.40 spl0_32 <=> member(X0,X1)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f887,plain,(
% 0.21/0.40 ![X0,X1]: (member(X0,X1)|~spl0_32)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f886])).
% 0.21/0.40 fof(f948,plain,(
% 0.21/0.40 ![X0,X1]: (~member(X0,X1)|~spl0_32)),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f126,f887])).
% 0.21/0.40 fof(f949,plain,(
% 0.21/0.40 $false|~spl0_32),
% 0.21/0.40 inference(backward_subsumption_resolution,[status(thm)],[f887,f948])).
% 0.21/0.40 fof(f950,plain,(
% 0.21/0.40 ~spl0_32),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f949])).
% 0.21/0.40 fof(f994,plain,(
% 0.21/0.40 ![X0]: (y=X0|y=X0|~spl0_3)),
% 0.21/0.40 inference(resolution,[status(thm)],[f741,f218])).
% 0.21/0.40 fof(f995,plain,(
% 0.21/0.40 ![X0]: (y=X0|~spl0_3)),
% 0.21/0.40 inference(duplicate_literals_removal,[status(esa)],[f994])).
% 0.21/0.40 fof(f1001,plain,(
% 0.21/0.40 ![X0,X1]: (X0=X1|~spl0_3)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f995,f995])).
% 0.21/0.40 fof(f1006,plain,(
% 0.21/0.40 ![X0]: (member(X0,universal_class)|~spl0_3)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f995,f199])).
% 0.21/0.40 fof(f1007,plain,(
% 0.21/0.40 ![X0,X1]: (member(X0,X1)|~spl0_3)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f1001,f1006])).
% 0.21/0.40 fof(f1008,plain,(
% 0.21/0.40 spl0_32|~spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f1007,f886,f217])).
% 0.21/0.40 fof(f1011,plain,(
% 0.21/0.40 $false),
% 0.21/0.40 inference(sat_refutation,[status(thm)],[f221,f223,f950,f1008])).
% 0.21/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.41 % Elapsed time: 0.068537 seconds
% 0.21/0.41 % CPU time: 0.370408 seconds
% 0.21/0.41 % Memory used: 38.961 MB
%------------------------------------------------------------------------------