TSTP Solution File: SET125-6 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:39:13 EDT 2024
% Result : Unsatisfiable 21.19s 3.08s
% Output : CNFRefutation 21.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 21:36:17 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 21.19/3.08 % Refutation found
% 21.19/3.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.19/3.08 % SZS output start CNFRefutation for theBenchmark
% 21.19/3.08 fof(f1,axiom,(
% 21.19/3.08 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f4,axiom,(
% 21.19/3.08 (![X]: (subclass(X,universal_class) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f9,axiom,(
% 21.19/3.08 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f11,axiom,(
% 21.19/3.08 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f12,axiom,(
% 21.19/3.08 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f22,axiom,(
% 21.19/3.08 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f24,axiom,(
% 21.19/3.08 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f25,axiom,(
% 21.19/3.08 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f26,axiom,(
% 21.19/3.08 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f92,axiom,(
% 21.19/3.08 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f93,negated_conjecture,(
% 21.19/3.08 member(x,z) ),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f94,negated_conjecture,(
% 21.19/3.08 ~ member(x,set_builder(y,z)) ),
% 21.19/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.19/3.08 fof(f95,plain,(
% 21.19/3.08 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 21.19/3.08 inference(miniscoping,[status(esa)],[f1])).
% 21.19/3.08 fof(f96,plain,(
% 21.19/3.08 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f95])).
% 21.19/3.08 fof(f99,plain,(
% 21.19/3.08 ![X0]: (subclass(X0,universal_class))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f4])).
% 21.19/3.08 fof(f105,plain,(
% 21.19/3.08 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 21.19/3.08 inference(miniscoping,[status(esa)],[f9])).
% 21.19/3.08 fof(f106,plain,(
% 21.19/3.08 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f105])).
% 21.19/3.08 fof(f109,plain,(
% 21.19/3.08 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f11])).
% 21.19/3.08 fof(f110,plain,(
% 21.19/3.08 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f12])).
% 21.19/3.08 fof(f124,plain,(
% 21.19/3.08 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 21.19/3.08 inference(miniscoping,[status(esa)],[f22])).
% 21.19/3.08 fof(f125,plain,(
% 21.19/3.08 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f124])).
% 21.19/3.08 fof(f127,plain,(
% 21.19/3.08 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f24])).
% 21.19/3.08 fof(f128,plain,(
% 21.19/3.08 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f25])).
% 21.19/3.08 fof(f129,plain,(
% 21.19/3.08 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f26])).
% 21.19/3.08 fof(f200,plain,(
% 21.19/3.08 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f92])).
% 21.19/3.08 fof(f201,plain,(
% 21.19/3.08 member(x,z)),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f93])).
% 21.19/3.08 fof(f202,plain,(
% 21.19/3.08 ~member(x,set_builder(y,z))),
% 21.19/3.08 inference(cnf_transformation,[status(esa)],[f94])).
% 21.19/3.08 fof(f377,plain,(
% 21.19/3.08 spl0_17 <=> ~subclass(unordered_pair(x,X0),universal_class)),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f378,plain,(
% 21.19/3.08 ![X0]: (~subclass(unordered_pair(x,X0),universal_class)|~spl0_17)),
% 21.19/3.08 inference(component_clause,[status(thm)],[f377])).
% 21.19/3.08 fof(f495,plain,(
% 21.19/3.08 spl0_20 <=> ~subclass(unordered_pair(X1,x),universal_class)),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f496,plain,(
% 21.19/3.08 ![X0]: (~subclass(unordered_pair(X0,x),universal_class)|~spl0_20)),
% 21.19/3.08 inference(component_clause,[status(thm)],[f495])).
% 21.19/3.08 fof(f539,plain,(
% 21.19/3.08 ![X0,X1,X2]: (~subclass(X0,universal_class)|~member(X1,X0)|member(X1,unordered_pair(X1,X2)))),
% 21.19/3.08 inference(resolution,[status(thm)],[f96,f106])).
% 21.19/3.08 fof(f540,plain,(
% 21.19/3.08 ![X0,X1,X2]: (~member(X0,X1)|member(X0,unordered_pair(X0,X2)))),
% 21.19/3.08 inference(forward_subsumption_resolution,[status(thm)],[f539,f99])).
% 21.19/3.08 fof(f546,plain,(
% 21.19/3.08 spl0_21 <=> ~member(x,X0)),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f547,plain,(
% 21.19/3.08 ![X0]: (~member(x,X0)|~spl0_21)),
% 21.19/3.08 inference(component_clause,[status(thm)],[f546])).
% 21.19/3.08 fof(f559,plain,(
% 21.19/3.08 ![X0,X1,X2,X3]: (~member(X0,X1)|~subclass(unordered_pair(X0,X2),X3)|member(X0,X3))),
% 21.19/3.08 inference(resolution,[status(thm)],[f540,f96])).
% 21.19/3.08 fof(f589,plain,(
% 21.19/3.08 ![X0]: (member(singleton(X0),universal_class))),
% 21.19/3.08 inference(paramodulation,[status(thm)],[f110,f109])).
% 21.19/3.08 fof(f605,plain,(
% 21.19/3.08 $false|~spl0_21),
% 21.19/3.08 inference(backward_subsumption_resolution,[status(thm)],[f201,f547])).
% 21.19/3.08 fof(f606,plain,(
% 21.19/3.08 ~spl0_21),
% 21.19/3.08 inference(contradiction_clause,[status(thm)],[f605])).
% 21.19/3.08 fof(f813,plain,(
% 21.19/3.08 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 21.19/3.08 inference(resolution,[status(thm)],[f559,f99])).
% 21.19/3.08 fof(f3152,plain,(
% 21.19/3.08 spl0_180 <=> null_class=null_class),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f3154,plain,(
% 21.19/3.08 ~null_class=null_class|spl0_180),
% 21.19/3.08 inference(component_clause,[status(thm)],[f3152])).
% 21.19/3.08 fof(f5117,plain,(
% 21.19/3.08 spl0_294 <=> ~member(singleton(null_class),X0)),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f5118,plain,(
% 21.19/3.08 ![X0]: (~member(singleton(null_class),X0)|~spl0_294)),
% 21.19/3.08 inference(component_clause,[status(thm)],[f5117])).
% 21.19/3.08 fof(f5712,plain,(
% 21.19/3.08 spl0_333 <=> member(x,z)),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f5714,plain,(
% 21.19/3.08 ~member(x,z)|spl0_333),
% 21.19/3.08 inference(component_clause,[status(thm)],[f5712])).
% 21.19/3.08 fof(f5898,plain,(
% 21.19/3.08 $false|spl0_333),
% 21.19/3.08 inference(forward_subsumption_resolution,[status(thm)],[f5714,f201])).
% 21.19/3.08 fof(f5899,plain,(
% 21.19/3.08 spl0_333),
% 21.19/3.08 inference(contradiction_clause,[status(thm)],[f5898])).
% 21.19/3.08 fof(f5900,plain,(
% 21.19/3.08 $false|~spl0_17),
% 21.19/3.08 inference(forward_subsumption_resolution,[status(thm)],[f378,f99])).
% 21.19/3.08 fof(f5901,plain,(
% 21.19/3.08 ~spl0_17),
% 21.19/3.08 inference(contradiction_clause,[status(thm)],[f5900])).
% 21.19/3.08 fof(f5902,plain,(
% 21.19/3.08 $false|~spl0_20),
% 21.19/3.08 inference(forward_subsumption_resolution,[status(thm)],[f496,f99])).
% 21.19/3.08 fof(f5903,plain,(
% 21.19/3.08 ~spl0_20),
% 21.19/3.08 inference(contradiction_clause,[status(thm)],[f5902])).
% 21.19/3.08 fof(f6941,plain,(
% 21.19/3.08 spl0_356 <=> subclass(image(successor_relation,universal_class),universal_class)),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f6943,plain,(
% 21.19/3.08 ~subclass(image(successor_relation,universal_class),universal_class)|spl0_356),
% 21.19/3.08 inference(component_clause,[status(thm)],[f6941])).
% 21.19/3.08 fof(f6973,plain,(
% 21.19/3.08 $false|spl0_356),
% 21.19/3.08 inference(forward_subsumption_resolution,[status(thm)],[f6943,f99])).
% 21.19/3.08 fof(f6974,plain,(
% 21.19/3.08 spl0_356),
% 21.19/3.08 inference(contradiction_clause,[status(thm)],[f6973])).
% 21.19/3.08 fof(f10273,plain,(
% 21.19/3.08 $false|~spl0_294),
% 21.19/3.08 inference(resolution,[status(thm)],[f5118,f589])).
% 21.19/3.08 fof(f10274,plain,(
% 21.19/3.08 ~spl0_294),
% 21.19/3.08 inference(contradiction_clause,[status(thm)],[f10273])).
% 21.19/3.08 fof(f12704,plain,(
% 21.19/3.08 spl0_550 <=> ~subclass(unordered_pair(singleton(null_class),X0),universal_class)),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f12705,plain,(
% 21.19/3.08 ![X0]: (~subclass(unordered_pair(singleton(null_class),X0),universal_class)|~spl0_550)),
% 21.19/3.08 inference(component_clause,[status(thm)],[f12704])).
% 21.19/3.08 fof(f13101,plain,(
% 21.19/3.08 spl0_566 <=> ~subclass(unordered_pair(X0,singleton(null_class)),universal_class)),
% 21.19/3.08 introduced(split_symbol_definition)).
% 21.19/3.08 fof(f13102,plain,(
% 21.19/3.08 ![X0]: (~subclass(unordered_pair(X0,singleton(null_class)),universal_class)|~spl0_566)),
% 21.19/3.08 inference(component_clause,[status(thm)],[f13101])).
% 21.19/3.08 fof(f13509,plain,(
% 21.19/3.08 $false|spl0_180),
% 21.19/3.08 inference(trivial_equality_resolution,[status(esa)],[f3154])).
% 21.19/3.08 fof(f13510,plain,(
% 21.19/3.08 spl0_180),
% 21.19/3.08 inference(contradiction_clause,[status(thm)],[f13509])).
% 21.19/3.08 fof(f18057,plain,(
% 21.19/3.08 $false|~spl0_566),
% 21.19/3.08 inference(forward_subsumption_resolution,[status(thm)],[f13102,f99])).
% 21.19/3.09 fof(f18058,plain,(
% 21.19/3.09 ~spl0_566),
% 21.19/3.09 inference(contradiction_clause,[status(thm)],[f18057])).
% 21.19/3.09 fof(f18059,plain,(
% 21.19/3.09 $false|~spl0_550),
% 21.19/3.09 inference(forward_subsumption_resolution,[status(thm)],[f12705,f99])).
% 21.19/3.09 fof(f18060,plain,(
% 21.19/3.09 ~spl0_550),
% 21.19/3.09 inference(contradiction_clause,[status(thm)],[f18059])).
% 21.19/3.09 fof(f18283,plain,(
% 21.19/3.09 ![X0,X1,X2]: (member(X0,complement(X1))|member(X0,X1)|~member(X0,X2))),
% 21.19/3.09 inference(resolution,[status(thm)],[f128,f813])).
% 21.19/3.09 fof(f19840,plain,(
% 21.19/3.09 ![X0,X1,X2,X3]: (member(X0,union(X1,X2))|member(X0,intersection(complement(X1),complement(X2)))|~member(X0,X3))),
% 21.19/3.09 inference(paramodulation,[status(thm)],[f129,f18283])).
% 21.19/3.09 fof(f19874,plain,(
% 21.19/3.09 ![X0,X1,X2,X3]: (member(X0,union(X1,X2))|~member(X0,X3)|member(X0,complement(X2)))),
% 21.19/3.09 inference(resolution,[status(thm)],[f19840,f125])).
% 21.19/3.09 fof(f19983,plain,(
% 21.19/3.09 ![X0,X1,X2,X3]: (member(X0,union(X1,X2))|~member(X0,X3)|~member(X0,X2))),
% 21.19/3.09 inference(resolution,[status(thm)],[f19874,f127])).
% 21.19/3.09 fof(f20041,plain,(
% 21.19/3.09 ![X0,X1,X2,X3]: (member(X0,set_builder(X1,X2))|~member(X0,X3)|~member(X0,X2))),
% 21.19/3.09 inference(paramodulation,[status(thm)],[f200,f19983])).
% 21.19/3.09 fof(f20049,plain,(
% 21.19/3.09 ![X0]: (~member(x,X0)|~member(x,z))),
% 21.19/3.09 inference(resolution,[status(thm)],[f20041,f202])).
% 21.19/3.09 fof(f20050,plain,(
% 21.19/3.09 spl0_21|~spl0_333),
% 21.19/3.09 inference(split_clause,[status(thm)],[f20049,f546,f5712])).
% 21.19/3.09 fof(f20100,plain,(
% 21.19/3.09 $false),
% 21.19/3.09 inference(sat_refutation,[status(thm)],[f606,f5899,f5901,f5903,f6974,f10274,f13510,f18058,f18060,f20050])).
% 21.19/3.09 % SZS output end CNFRefutation for theBenchmark.p
% 21.96/3.13 % Elapsed time: 2.763536 seconds
% 21.96/3.13 % CPU time: 21.776057 seconds
% 21.96/3.13 % Total memory used: 285.409 MB
% 21.96/3.13 % Net memory used: 273.574 MB
%------------------------------------------------------------------------------