TSTP Solution File: SET097-6 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET097-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:39:07 EDT 2024
% Result : Unsatisfiable 0.11s 0.51s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET097-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n004.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 21:37:03 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.11/0.51 % Refutation found
% 0.11/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.51 fof(f1,axiom,(
% 0.11/0.51 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f2,axiom,(
% 0.11/0.51 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f3,axiom,(
% 0.11/0.51 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f4,axiom,(
% 0.11/0.51 (![X]: (subclass(X,universal_class) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f7,axiom,(
% 0.11/0.51 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f8,axiom,(
% 0.11/0.51 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f12,axiom,(
% 0.11/0.51 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f21,axiom,(
% 0.11/0.51 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f22,axiom,(
% 0.11/0.51 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f23,axiom,(
% 0.11/0.51 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f24,axiom,(
% 0.11/0.51 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f25,axiom,(
% 0.11/0.51 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f66,axiom,(
% 0.11/0.51 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f92,negated_conjecture,(
% 0.11/0.51 ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)) ),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f93,negated_conjecture,(
% 0.11/0.51 singleton(not_subclass_element(x,null_class)) != x ),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f94,negated_conjecture,(
% 0.11/0.51 x != null_class ),
% 0.11/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f95,plain,(
% 0.11/0.51 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.11/0.51 inference(miniscoping,[status(esa)],[f1])).
% 0.11/0.51 fof(f96,plain,(
% 0.11/0.51 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f95])).
% 0.11/0.51 fof(f97,plain,(
% 0.11/0.51 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.11/0.51 fof(f98,plain,(
% 0.11/0.51 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.51 fof(f99,plain,(
% 0.11/0.51 ![X0]: (subclass(X0,universal_class))),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f4])).
% 0.11/0.51 fof(f102,plain,(
% 0.11/0.51 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.11/0.51 fof(f103,plain,(
% 0.11/0.51 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.11/0.51 inference(miniscoping,[status(esa)],[f8])).
% 0.11/0.51 fof(f104,plain,(
% 0.11/0.51 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f103])).
% 0.11/0.51 fof(f110,plain,(
% 0.11/0.51 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.51 fof(f122,plain,(
% 0.11/0.51 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.11/0.51 inference(miniscoping,[status(esa)],[f21])).
% 0.11/0.51 fof(f123,plain,(
% 0.11/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f122])).
% 0.11/0.51 fof(f124,plain,(
% 0.11/0.51 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.11/0.51 inference(miniscoping,[status(esa)],[f22])).
% 0.11/0.52 fof(f125,plain,(
% 0.11/0.52 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.11/0.52 inference(cnf_transformation,[status(esa)],[f124])).
% 0.11/0.52 fof(f126,plain,(
% 0.11/0.52 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.11/0.52 inference(cnf_transformation,[status(esa)],[f23])).
% 0.11/0.52 fof(f127,plain,(
% 0.11/0.52 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.11/0.52 inference(cnf_transformation,[status(esa)],[f24])).
% 0.11/0.52 fof(f128,plain,(
% 0.11/0.52 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.11/0.52 inference(cnf_transformation,[status(esa)],[f25])).
% 0.11/0.52 fof(f169,plain,(
% 0.11/0.52 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.11/0.52 inference(cnf_transformation,[status(esa)],[f66])).
% 0.11/0.52 fof(f200,plain,(
% 0.11/0.52 ~member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x))),
% 0.11/0.52 inference(cnf_transformation,[status(esa)],[f92])).
% 0.11/0.52 fof(f201,plain,(
% 0.11/0.52 ~singleton(not_subclass_element(x,null_class))=x),
% 0.11/0.52 inference(cnf_transformation,[status(esa)],[f93])).
% 0.11/0.52 fof(f202,plain,(
% 0.11/0.52 ~x=null_class),
% 0.11/0.52 inference(cnf_transformation,[status(esa)],[f94])).
% 0.11/0.52 fof(f209,plain,(
% 0.11/0.52 subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class)),
% 0.11/0.52 inference(resolution,[status(thm)],[f97,f200])).
% 0.11/0.52 fof(f210,plain,(
% 0.11/0.52 ![X0,X1]: (subclass(complement(X0),X1)|~member(not_subclass_element(complement(X0),X1),X0))),
% 0.11/0.52 inference(resolution,[status(thm)],[f97,f127])).
% 0.11/0.52 fof(f213,plain,(
% 0.11/0.52 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 0.11/0.52 inference(resolution,[status(thm)],[f123,f97])).
% 0.11/0.52 fof(f214,plain,(
% 0.11/0.52 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 0.11/0.52 inference(resolution,[status(thm)],[f125,f97])).
% 0.11/0.52 fof(f227,plain,(
% 0.11/0.52 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 0.11/0.52 inference(resolution,[status(thm)],[f213,f98])).
% 0.11/0.52 fof(f228,plain,(
% 0.11/0.52 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 0.11/0.52 inference(duplicate_literals_removal,[status(esa)],[f227])).
% 0.11/0.52 fof(f232,plain,(
% 0.11/0.52 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 0.11/0.52 inference(resolution,[status(thm)],[f214,f98])).
% 0.11/0.52 fof(f233,plain,(
% 0.11/0.52 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 0.11/0.52 inference(duplicate_literals_removal,[status(esa)],[f232])).
% 0.11/0.52 fof(f261,plain,(
% 0.11/0.52 ![X0,X1,X2]: (~subclass(X0,X1)|member(not_subclass_element(X0,X2),X1)|subclass(X0,X2))),
% 0.11/0.52 inference(resolution,[status(thm)],[f96,f97])).
% 0.11/0.52 fof(f263,plain,(
% 0.11/0.52 ![X0,X1,X2,X3]: (~subclass(intersection(X0,X1),X2)|member(X3,X2)|~member(X3,X0)|~member(X3,X1))),
% 0.11/0.52 inference(resolution,[status(thm)],[f96,f126])).
% 0.11/0.52 fof(f265,plain,(
% 0.11/0.52 spl0_2 <=> subclass(null_class,intersection(complement(singleton(not_subclass_element(x,null_class))),x))),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f267,plain,(
% 0.11/0.52 ~subclass(null_class,intersection(complement(singleton(not_subclass_element(x,null_class))),x))|spl0_2),
% 0.11/0.52 inference(component_clause,[status(thm)],[f265])).
% 0.11/0.52 fof(f268,plain,(
% 0.11/0.52 spl0_3 <=> null_class=intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f269,plain,(
% 0.11/0.52 null_class=intersection(complement(singleton(not_subclass_element(x,null_class))),x)|~spl0_3),
% 0.11/0.52 inference(component_clause,[status(thm)],[f268])).
% 0.11/0.52 fof(f271,plain,(
% 0.11/0.52 ~subclass(null_class,intersection(complement(singleton(not_subclass_element(x,null_class))),x))|null_class=intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
% 0.11/0.52 inference(resolution,[status(thm)],[f102,f209])).
% 0.11/0.52 fof(f272,plain,(
% 0.11/0.52 ~spl0_2|spl0_3),
% 0.11/0.52 inference(split_clause,[status(thm)],[f271,f265,f268])).
% 0.11/0.52 fof(f273,plain,(
% 0.11/0.52 ![X0,X1]: (~subclass(X0,intersection(X1,X0))|X0=intersection(X1,X0))),
% 0.11/0.52 inference(resolution,[status(thm)],[f102,f233])).
% 0.11/0.52 fof(f274,plain,(
% 0.11/0.52 ![X0,X1]: (~subclass(X0,intersection(X0,X1))|X0=intersection(X0,X1))),
% 0.11/0.52 inference(resolution,[status(thm)],[f102,f228])).
% 0.11/0.52 fof(f279,plain,(
% 0.11/0.52 ![X0,X1,X2]: (not_subclass_element(unordered_pair(X0,X1),X2)=X0|not_subclass_element(unordered_pair(X0,X1),X2)=X1|subclass(unordered_pair(X0,X1),X2))),
% 0.11/0.52 inference(resolution,[status(thm)],[f104,f97])).
% 0.11/0.52 fof(f294,plain,(
% 0.11/0.52 ![X0,X1]: (~subclass(complement(X0),X0)|subclass(complement(X0),X1)|subclass(complement(X0),X1))),
% 0.11/0.52 inference(resolution,[status(thm)],[f261,f210])).
% 0.11/0.52 fof(f295,plain,(
% 0.11/0.52 ![X0,X1]: (~subclass(complement(X0),X0)|subclass(complement(X0),X1))),
% 0.11/0.52 inference(duplicate_literals_removal,[status(esa)],[f294])).
% 0.11/0.52 fof(f350,plain,(
% 0.11/0.52 ![X0]: (member(X0,null_class)|~member(X0,complement(singleton(not_subclass_element(x,null_class))))|~member(X0,x))),
% 0.11/0.52 inference(resolution,[status(thm)],[f263,f209])).
% 0.11/0.52 fof(f368,plain,(
% 0.11/0.52 ![X0]: (member(X0,null_class)|~member(X0,x)|~member(X0,universal_class)|member(X0,singleton(not_subclass_element(x,null_class))))),
% 0.11/0.52 inference(resolution,[status(thm)],[f350,f128])).
% 0.11/0.52 fof(f372,plain,(
% 0.11/0.52 ![X0]: (member(not_subclass_element(X0,singleton(not_subclass_element(x,null_class))),null_class)|~member(not_subclass_element(X0,singleton(not_subclass_element(x,null_class))),x)|~member(not_subclass_element(X0,singleton(not_subclass_element(x,null_class))),universal_class)|subclass(X0,singleton(not_subclass_element(x,null_class))))),
% 0.11/0.52 inference(resolution,[status(thm)],[f368,f98])).
% 0.11/0.52 fof(f477,plain,(
% 0.11/0.52 spl0_29 <=> member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),null_class)),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f478,plain,(
% 0.11/0.52 member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),null_class)|~spl0_29),
% 0.11/0.52 inference(component_clause,[status(thm)],[f477])).
% 0.11/0.52 fof(f480,plain,(
% 0.11/0.52 spl0_30 <=> member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),universal_class)),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f482,plain,(
% 0.11/0.52 ~member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),universal_class)|spl0_30),
% 0.11/0.52 inference(component_clause,[status(thm)],[f480])).
% 0.11/0.52 fof(f483,plain,(
% 0.11/0.52 spl0_31 <=> subclass(x,singleton(not_subclass_element(x,null_class)))),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f484,plain,(
% 0.11/0.52 subclass(x,singleton(not_subclass_element(x,null_class)))|~spl0_31),
% 0.11/0.52 inference(component_clause,[status(thm)],[f483])).
% 0.11/0.52 fof(f486,plain,(
% 0.11/0.52 member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),null_class)|~member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),universal_class)|subclass(x,singleton(not_subclass_element(x,null_class)))|subclass(x,singleton(not_subclass_element(x,null_class)))),
% 0.11/0.52 inference(resolution,[status(thm)],[f372,f97])).
% 0.11/0.52 fof(f487,plain,(
% 0.11/0.52 spl0_29|~spl0_30|spl0_31),
% 0.11/0.52 inference(split_clause,[status(thm)],[f486,f477,f480,f483])).
% 0.11/0.52 fof(f544,plain,(
% 0.11/0.52 ![X0]: (subclass(complement(universal_class),X0))),
% 0.11/0.52 inference(resolution,[status(thm)],[f295,f99])).
% 0.11/0.52 fof(f556,plain,(
% 0.11/0.52 ![X0]: (complement(universal_class)=intersection(complement(universal_class),X0))),
% 0.11/0.52 inference(resolution,[status(thm)],[f544,f274])).
% 0.11/0.52 fof(f612,plain,(
% 0.11/0.52 ![X0,X1]: (~member(X0,complement(universal_class))|member(X0,X1))),
% 0.11/0.52 inference(paramodulation,[status(thm)],[f556,f125])).
% 0.11/0.52 fof(f731,plain,(
% 0.11/0.52 ![X0,X1]: (not_subclass_element(unordered_pair(X0,X0),X1)=X0|not_subclass_element(singleton(X0),X1)=X0|subclass(unordered_pair(X0,X0),X1))),
% 0.11/0.52 inference(paramodulation,[status(thm)],[f110,f279])).
% 0.11/0.52 fof(f732,plain,(
% 0.11/0.52 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|not_subclass_element(singleton(X0),X1)=X0|subclass(unordered_pair(X0,X0),X1))),
% 0.11/0.52 inference(forward_demodulation,[status(thm)],[f110,f731])).
% 0.11/0.52 fof(f733,plain,(
% 0.11/0.52 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 0.11/0.52 inference(forward_demodulation,[status(thm)],[f110,f732])).
% 0.11/0.52 fof(f734,plain,(
% 0.11/0.52 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 0.11/0.52 inference(duplicate_literals_removal,[status(esa)],[f733])).
% 0.11/0.52 fof(f781,plain,(
% 0.11/0.52 spl0_60 <=> complement(universal_class)=null_class),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f782,plain,(
% 0.11/0.52 complement(universal_class)=null_class|~spl0_60),
% 0.11/0.52 inference(component_clause,[status(thm)],[f781])).
% 0.11/0.52 fof(f784,plain,(
% 0.11/0.52 spl0_61 <=> member(regular(complement(universal_class)),X0)),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f785,plain,(
% 0.11/0.52 ![X0]: (member(regular(complement(universal_class)),X0)|~spl0_61)),
% 0.11/0.52 inference(component_clause,[status(thm)],[f784])).
% 0.11/0.52 fof(f787,plain,(
% 0.11/0.52 ![X0]: (complement(universal_class)=null_class|member(regular(complement(universal_class)),X0))),
% 0.11/0.52 inference(resolution,[status(thm)],[f169,f612])).
% 0.11/0.52 fof(f788,plain,(
% 0.11/0.52 spl0_60|spl0_61),
% 0.11/0.52 inference(split_clause,[status(thm)],[f787,f781,f784])).
% 0.11/0.52 fof(f805,plain,(
% 0.11/0.52 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|~spl0_60)),
% 0.11/0.52 inference(backward_demodulation,[status(thm)],[f782,f612])).
% 0.11/0.52 fof(f810,plain,(
% 0.11/0.52 ![X0]: (subclass(null_class,X0)|~spl0_60)),
% 0.11/0.52 inference(backward_demodulation,[status(thm)],[f782,f544])).
% 0.11/0.52 fof(f926,plain,(
% 0.11/0.52 ![X0]: (~member(regular(complement(universal_class)),X0)|~spl0_61)),
% 0.11/0.52 inference(resolution,[status(thm)],[f785,f127])).
% 0.11/0.52 fof(f927,plain,(
% 0.11/0.52 $false|~spl0_61),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f926,f785])).
% 0.11/0.52 fof(f928,plain,(
% 0.11/0.52 ~spl0_61),
% 0.11/0.52 inference(contradiction_clause,[status(thm)],[f927])).
% 0.11/0.52 fof(f948,plain,(
% 0.11/0.52 $false|~spl0_60|spl0_2),
% 0.11/0.52 inference(backward_subsumption_resolution,[status(thm)],[f267,f810])).
% 0.11/0.52 fof(f949,plain,(
% 0.11/0.52 ~spl0_60|spl0_2),
% 0.11/0.52 inference(contradiction_clause,[status(thm)],[f948])).
% 0.11/0.52 fof(f1089,plain,(
% 0.11/0.52 ![X0]: (~member(X0,null_class)|~member(X0,universal_class)|~spl0_60)),
% 0.11/0.52 inference(paramodulation,[status(thm)],[f782,f127])).
% 0.11/0.52 fof(f1090,plain,(
% 0.11/0.52 ![X0]: (~member(X0,null_class)|~spl0_60)),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1089,f805])).
% 0.11/0.52 fof(f1183,plain,(
% 0.11/0.52 spl0_90 <=> subclass(x,universal_class)),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f1185,plain,(
% 0.11/0.52 ~subclass(x,universal_class)|spl0_90),
% 0.11/0.52 inference(component_clause,[status(thm)],[f1183])).
% 0.11/0.52 fof(f1186,plain,(
% 0.11/0.52 ~subclass(x,universal_class)|subclass(x,singleton(not_subclass_element(x,null_class)))|spl0_30),
% 0.11/0.52 inference(resolution,[status(thm)],[f482,f261])).
% 0.11/0.52 fof(f1187,plain,(
% 0.11/0.52 ~spl0_90|spl0_31|spl0_30),
% 0.11/0.52 inference(split_clause,[status(thm)],[f1186,f1183,f483,f480])).
% 0.11/0.52 fof(f1188,plain,(
% 0.11/0.52 $false|spl0_90),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1185,f99])).
% 0.11/0.52 fof(f1189,plain,(
% 0.11/0.52 spl0_90),
% 0.11/0.52 inference(contradiction_clause,[status(thm)],[f1188])).
% 0.11/0.52 fof(f1190,plain,(
% 0.11/0.52 spl0_91 <=> subclass(singleton(not_subclass_element(x,null_class)),x)),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f1192,plain,(
% 0.11/0.52 ~subclass(singleton(not_subclass_element(x,null_class)),x)|spl0_91),
% 0.11/0.52 inference(component_clause,[status(thm)],[f1190])).
% 0.11/0.52 fof(f1193,plain,(
% 0.11/0.52 spl0_92 <=> singleton(not_subclass_element(x,null_class))=x),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f1194,plain,(
% 0.11/0.52 singleton(not_subclass_element(x,null_class))=x|~spl0_92),
% 0.11/0.52 inference(component_clause,[status(thm)],[f1193])).
% 0.11/0.52 fof(f1196,plain,(
% 0.11/0.52 ~subclass(singleton(not_subclass_element(x,null_class)),x)|singleton(not_subclass_element(x,null_class))=x|~spl0_31),
% 0.11/0.52 inference(resolution,[status(thm)],[f484,f102])).
% 0.11/0.52 fof(f1197,plain,(
% 0.11/0.52 ~spl0_91|spl0_92|~spl0_31),
% 0.11/0.52 inference(split_clause,[status(thm)],[f1196,f1190,f1193,f483])).
% 0.11/0.52 fof(f1210,plain,(
% 0.11/0.52 spl0_95 <=> subclass(x,null_class)),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f1212,plain,(
% 0.11/0.52 ~subclass(x,null_class)|spl0_95),
% 0.11/0.52 inference(component_clause,[status(thm)],[f1210])).
% 0.11/0.52 fof(f1213,plain,(
% 0.11/0.52 spl0_96 <=> x=intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
% 0.11/0.52 introduced(split_symbol_definition)).
% 0.11/0.52 fof(f1214,plain,(
% 0.11/0.52 x=intersection(complement(singleton(not_subclass_element(x,null_class))),x)|~spl0_96),
% 0.11/0.52 inference(component_clause,[status(thm)],[f1213])).
% 0.11/0.52 fof(f1216,plain,(
% 0.11/0.52 ~subclass(x,null_class)|x=intersection(complement(singleton(not_subclass_element(x,null_class))),x)|~spl0_3),
% 0.11/0.52 inference(paramodulation,[status(thm)],[f269,f273])).
% 0.11/0.52 fof(f1217,plain,(
% 0.11/0.52 ~spl0_95|spl0_96|~spl0_3),
% 0.11/0.52 inference(split_clause,[status(thm)],[f1216,f1210,f1213,f268])).
% 0.11/0.52 fof(f1357,plain,(
% 0.11/0.52 ![X0,X1]: (~member(X0,X1)|subclass(singleton(X0),X1)|subclass(singleton(X0),X1))),
% 0.11/0.52 inference(paramodulation,[status(thm)],[f734,f98])).
% 0.11/0.52 fof(f1358,plain,(
% 0.11/0.52 ![X0,X1]: (~member(X0,X1)|subclass(singleton(X0),X1))),
% 0.11/0.52 inference(duplicate_literals_removal,[status(esa)],[f1357])).
% 0.11/0.52 fof(f1722,plain,(
% 0.11/0.52 ~member(not_subclass_element(x,null_class),x)|spl0_91),
% 0.11/0.52 inference(resolution,[status(thm)],[f1358,f1192])).
% 0.11/0.52 fof(f1937,plain,(
% 0.11/0.52 subclass(x,null_class)|spl0_91),
% 0.11/0.52 inference(resolution,[status(thm)],[f1722,f97])).
% 0.11/0.52 fof(f1938,plain,(
% 0.11/0.52 $false|spl0_95|spl0_91),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1937,f1212])).
% 0.11/0.52 fof(f1939,plain,(
% 0.11/0.52 spl0_95|spl0_91),
% 0.11/0.52 inference(contradiction_clause,[status(thm)],[f1938])).
% 0.11/0.52 fof(f1940,plain,(
% 0.11/0.52 x=null_class|~spl0_3|~spl0_96),
% 0.11/0.52 inference(forward_demodulation,[status(thm)],[f269,f1214])).
% 0.11/0.52 fof(f1941,plain,(
% 0.11/0.52 $false|~spl0_3|~spl0_96),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1940,f202])).
% 0.11/0.52 fof(f1942,plain,(
% 0.11/0.52 ~spl0_3|~spl0_96),
% 0.11/0.52 inference(contradiction_clause,[status(thm)],[f1941])).
% 0.11/0.52 fof(f1943,plain,(
% 0.11/0.52 $false|~spl0_92),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1194,f201])).
% 0.11/0.52 fof(f1944,plain,(
% 0.11/0.52 ~spl0_92),
% 0.11/0.52 inference(contradiction_clause,[status(thm)],[f1943])).
% 0.11/0.52 fof(f1946,plain,(
% 0.11/0.52 $false|~spl0_60|~spl0_29),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f478,f1090])).
% 0.11/0.52 fof(f1947,plain,(
% 0.11/0.52 ~spl0_60|~spl0_29),
% 0.11/0.52 inference(contradiction_clause,[status(thm)],[f1946])).
% 0.11/0.52 fof(f1948,plain,(
% 0.11/0.52 $false),
% 0.11/0.52 inference(sat_refutation,[status(thm)],[f272,f487,f788,f928,f949,f1187,f1189,f1197,f1217,f1939,f1942,f1944,f1947])).
% 0.11/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.53 % Elapsed time: 0.259552 seconds
% 0.11/0.53 % CPU time: 1.966285 seconds
% 0.11/0.53 % Total memory used: 97.358 MB
% 0.11/0.53 % Net memory used: 94.535 MB
%------------------------------------------------------------------------------