TSTP Solution File: SET124-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET124-6 : 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 12:34:04 EDT 2023
% Result : Unsatisfiable 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET124-6 : 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 : n026.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 : Tue May 30 10:28:28 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f1,axiom,(
% 0.10/0.34 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f5,axiom,(
% 0.10/0.34 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f10,axiom,(
% 0.10/0.34 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f12,axiom,(
% 0.10/0.34 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f21,axiom,(
% 0.10/0.34 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f24,axiom,(
% 0.10/0.34 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f25,axiom,(
% 0.10/0.34 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f26,axiom,(
% 0.10/0.34 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f92,axiom,(
% 0.10/0.34 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f93,negated_conjecture,(
% 0.10/0.34 member(x,universal_class) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f94,negated_conjecture,(
% 0.10/0.34 ~ member(x,set_builder(x,z)) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f95,plain,(
% 0.10/0.34 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f1])).
% 0.10/0.34 fof(f96,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f95])).
% 0.10/0.34 fof(f100,plain,(
% 0.10/0.34 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f5])).
% 0.10/0.34 fof(f107,plain,(
% 0.10/0.34 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f10])).
% 0.10/0.34 fof(f108,plain,(
% 0.10/0.34 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f107])).
% 0.10/0.34 fof(f110,plain,(
% 0.10/0.34 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f12])).
% 0.10/0.34 fof(f122,plain,(
% 0.10/0.34 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f21])).
% 0.10/0.34 fof(f123,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f122])).
% 0.10/0.34 fof(f127,plain,(
% 0.10/0.34 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f24])).
% 0.10/0.34 fof(f128,plain,(
% 0.10/0.34 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.10/0.34 fof(f129,plain,(
% 0.10/0.34 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f26])).
% 0.10/0.34 fof(f200,plain,(
% 0.10/0.34 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f92])).
% 0.10/0.34 fof(f201,plain,(
% 0.10/0.34 member(x,universal_class)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f93])).
% 0.10/0.34 fof(f202,plain,(
% 0.10/0.34 ~member(x,set_builder(x,z))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f94])).
% 0.10/0.34 fof(f203,plain,(
% 0.10/0.34 ![X0]: (subclass(X0,X0))),
% 0.10/0.34 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.10/0.34 fof(f208,plain,(
% 0.10/0.34 ![X0]: (~subclass(X0,set_builder(x,z))|~member(x,X0))),
% 0.10/0.34 inference(resolution,[status(thm)],[f96,f202])).
% 0.10/0.34 fof(f266,plain,(
% 0.10/0.34 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.10/0.34 inference(paramodulation,[status(thm)],[f110,f108])).
% 0.10/0.34 fof(f347,plain,(
% 0.10/0.34 spl0_10 <=> member(x,universal_class)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f349,plain,(
% 0.10/0.34 ~member(x,universal_class)|spl0_10),
% 0.10/0.34 inference(component_clause,[status(thm)],[f347])).
% 0.10/0.34 fof(f355,plain,(
% 0.10/0.34 $false|spl0_10),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f349,f201])).
% 0.10/0.34 fof(f356,plain,(
% 0.10/0.34 spl0_10),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f355])).
% 0.10/0.34 fof(f429,plain,(
% 0.10/0.34 spl0_16 <=> member(x,X0)|~subclass(complement(X0),set_builder(x,z))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f430,plain,(
% 0.10/0.34 ![X0]: (member(x,X0)|~subclass(complement(X0),set_builder(x,z))|~spl0_16)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f429])).
% 0.10/0.34 fof(f432,plain,(
% 0.10/0.34 ![X0]: (~member(x,universal_class)|member(x,X0)|~subclass(complement(X0),set_builder(x,z)))),
% 0.10/0.34 inference(resolution,[status(thm)],[f128,f208])).
% 0.10/0.34 fof(f433,plain,(
% 0.10/0.34 ~spl0_10|spl0_16),
% 0.10/0.34 inference(split_clause,[status(thm)],[f432,f347,f429])).
% 0.10/0.34 fof(f450,plain,(
% 0.10/0.34 ![X0,X1]: (member(x,intersection(complement(X0),complement(X1)))|~subclass(union(X0,X1),set_builder(x,z))|~spl0_16)),
% 0.10/0.34 inference(paramodulation,[status(thm)],[f129,f430])).
% 0.10/0.34 fof(f453,plain,(
% 0.10/0.34 ![X0,X1]: (member(x,intersection(complement(singleton(X0)),complement(X1)))|~subclass(set_builder(X0,X1),set_builder(x,z))|~spl0_16)),
% 0.10/0.34 inference(paramodulation,[status(thm)],[f200,f450])).
% 0.10/0.34 fof(f455,plain,(
% 0.10/0.34 member(x,intersection(complement(singleton(x)),complement(z)))|~spl0_16),
% 0.10/0.34 inference(resolution,[status(thm)],[f453,f203])).
% 0.10/0.34 fof(f459,plain,(
% 0.10/0.34 member(x,complement(singleton(x)))|~spl0_16),
% 0.10/0.34 inference(resolution,[status(thm)],[f455,f123])).
% 0.10/0.34 fof(f463,plain,(
% 0.10/0.34 ~member(x,singleton(x))|~spl0_16),
% 0.10/0.34 inference(resolution,[status(thm)],[f459,f127])).
% 0.10/0.34 fof(f466,plain,(
% 0.10/0.34 ~member(x,universal_class)|~spl0_16),
% 0.10/0.34 inference(resolution,[status(thm)],[f463,f266])).
% 0.10/0.34 fof(f467,plain,(
% 0.10/0.34 ~spl0_10|~spl0_16),
% 0.10/0.34 inference(split_clause,[status(thm)],[f466,f347,f429])).
% 0.10/0.34 fof(f468,plain,(
% 0.10/0.34 $false),
% 0.10/0.34 inference(sat_refutation,[status(thm)],[f356,f433,f467])).
% 0.10/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.35 % Elapsed time: 0.084446 seconds
% 0.10/0.35 % CPU time: 0.568522 seconds
% 0.10/0.35 % Memory used: 45.951 MB
%------------------------------------------------------------------------------