TSTP Solution File: SET189-6 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET189-6 : 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 : Tue Apr 30 20:39:22 EDT 2024
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET189-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:11:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.51 % Refutation found
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.51 fof(f1,axiom,(
% 0.19/0.51 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f2,axiom,(
% 0.19/0.51 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f3,axiom,(
% 0.19/0.51 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f4,axiom,(
% 0.19/0.51 (![X]: (subclass(X,universal_class) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f5,axiom,(
% 0.19/0.51 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f7,axiom,(
% 0.19/0.51 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f21,axiom,(
% 0.19/0.51 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f22,axiom,(
% 0.19/0.51 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f23,axiom,(
% 0.19/0.51 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f24,axiom,(
% 0.19/0.51 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f25,axiom,(
% 0.19/0.51 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f66,axiom,(
% 0.19/0.51 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f113,negated_conjecture,(
% 0.19/0.51 intersection(complement(y),x) = null_class ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f114,negated_conjecture,(
% 0.19/0.51 subclass(y,x) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f115,negated_conjecture,(
% 0.19/0.51 x != y ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f116,plain,(
% 0.19/0.51 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.19/0.51 inference(miniscoping,[status(esa)],[f1])).
% 0.19/0.51 fof(f117,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f116])).
% 0.19/0.51 fof(f118,plain,(
% 0.19/0.51 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.51 fof(f119,plain,(
% 0.19/0.51 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.51 fof(f120,plain,(
% 0.19/0.51 ![X0]: (subclass(X0,universal_class))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.51 fof(f121,plain,(
% 0.19/0.51 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.51 fof(f123,plain,(
% 0.19/0.51 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.51 fof(f143,plain,(
% 0.19/0.51 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.19/0.51 inference(miniscoping,[status(esa)],[f21])).
% 0.19/0.51 fof(f144,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f143])).
% 0.19/0.51 fof(f145,plain,(
% 0.19/0.51 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.19/0.51 inference(miniscoping,[status(esa)],[f22])).
% 0.19/0.51 fof(f146,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f145])).
% 0.19/0.51 fof(f147,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.51 fof(f148,plain,(
% 0.19/0.51 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.51 fof(f149,plain,(
% 0.19/0.51 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.51 fof(f190,plain,(
% 0.19/0.51 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 1.27/0.52 inference(cnf_transformation,[status(esa)],[f66])).
% 1.27/0.52 fof(f247,plain,(
% 1.27/0.52 intersection(complement(y),x)=null_class),
% 1.27/0.52 inference(cnf_transformation,[status(esa)],[f113])).
% 1.27/0.52 fof(f248,plain,(
% 1.27/0.52 subclass(y,x)),
% 1.27/0.52 inference(cnf_transformation,[status(esa)],[f114])).
% 1.27/0.52 fof(f249,plain,(
% 1.27/0.52 ~x=y),
% 1.27/0.52 inference(cnf_transformation,[status(esa)],[f115])).
% 1.27/0.52 fof(f250,plain,(
% 1.27/0.52 ![X0]: (subclass(X0,X0))),
% 1.27/0.52 inference(destructive_equality_resolution,[status(esa)],[f121])).
% 1.27/0.52 fof(f254,plain,(
% 1.27/0.52 spl0_0 <=> subclass(x,y)),
% 1.27/0.52 introduced(split_symbol_definition)).
% 1.27/0.52 fof(f256,plain,(
% 1.27/0.52 ~subclass(x,y)|spl0_0),
% 1.27/0.52 inference(component_clause,[status(thm)],[f254])).
% 1.27/0.52 fof(f257,plain,(
% 1.27/0.52 spl0_1 <=> x=y),
% 1.27/0.52 introduced(split_symbol_definition)).
% 1.27/0.52 fof(f258,plain,(
% 1.27/0.52 x=y|~spl0_1),
% 1.27/0.52 inference(component_clause,[status(thm)],[f257])).
% 1.27/0.52 fof(f260,plain,(
% 1.27/0.52 ~subclass(x,y)|x=y),
% 1.27/0.52 inference(resolution,[status(thm)],[f123,f248])).
% 1.27/0.52 fof(f261,plain,(
% 1.27/0.52 ~spl0_0|spl0_1),
% 1.27/0.52 inference(split_clause,[status(thm)],[f260,f254,f257])).
% 1.27/0.52 fof(f263,plain,(
% 1.27/0.52 ![X0]: (~member(X0,null_class)|member(X0,complement(y)))),
% 1.27/0.52 inference(paramodulation,[status(thm)],[f247,f144])).
% 1.27/0.52 fof(f264,plain,(
% 1.27/0.52 ![X0]: (~member(X0,null_class)|~member(X0,y))),
% 1.27/0.52 inference(resolution,[status(thm)],[f263,f148])).
% 1.27/0.52 fof(f268,plain,(
% 1.27/0.52 ![X0]: (~member(X0,null_class)|member(X0,x))),
% 1.27/0.52 inference(paramodulation,[status(thm)],[f247,f146])).
% 1.27/0.52 fof(f269,plain,(
% 1.27/0.52 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X0,X2)|~subclass(intersection(X1,X2),X3)|member(X0,X3))),
% 1.27/0.52 inference(resolution,[status(thm)],[f147,f117])).
% 1.27/0.52 fof(f270,plain,(
% 1.27/0.52 ![X0]: (~member(X0,complement(y))|~member(X0,x)|member(X0,null_class))),
% 1.27/0.52 inference(paramodulation,[status(thm)],[f247,f147])).
% 1.27/0.52 fof(f271,plain,(
% 1.27/0.52 ![X0]: (~member(X0,universal_class)|member(X0,y)|~member(X0,x)|member(X0,null_class))),
% 1.27/0.52 inference(resolution,[status(thm)],[f149,f270])).
% 1.27/0.52 fof(f273,plain,(
% 1.27/0.52 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,universal_class))),
% 1.27/0.52 inference(resolution,[status(thm)],[f269,f120])).
% 1.27/0.52 fof(f275,plain,(
% 1.27/0.52 ![X0,X1]: (~member(X0,complement(y))|~member(X0,x)|~subclass(null_class,X1)|member(X0,X1))),
% 1.27/0.52 inference(paramodulation,[status(thm)],[f247,f269])).
% 1.27/0.52 fof(f305,plain,(
% 1.27/0.52 ![X0,X1,X2]: (subclass(X0,X1)|~member(not_subclass_element(X0,X1),X2)|member(not_subclass_element(X0,X1),universal_class))),
% 1.27/0.52 inference(resolution,[status(thm)],[f118,f273])).
% 1.27/0.52 fof(f306,plain,(
% 1.27/0.52 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 1.27/0.52 inference(resolution,[status(thm)],[f118,f117])).
% 1.27/0.52 fof(f407,plain,(
% 1.27/0.52 spl0_21 <=> subclass(null_class,X0)|subclass(null_class,X0)),
% 1.27/0.52 introduced(split_symbol_definition)).
% 1.27/0.52 fof(f408,plain,(
% 1.27/0.52 ![X0]: (subclass(null_class,X0)|subclass(null_class,X0)|~spl0_21)),
% 1.27/0.52 inference(component_clause,[status(thm)],[f407])).
% 1.27/0.52 fof(f443,plain,(
% 1.27/0.52 ![X0]: (subclass(null_class,X0)|~spl0_21)),
% 1.27/0.52 inference(duplicate_literals_removal,[status(esa)],[f408])).
% 1.27/0.52 fof(f445,plain,(
% 1.27/0.52 ![X0,X1]: (~member(X0,complement(y))|~member(X0,x)|member(X0,X1)|~spl0_21)),
% 1.27/0.52 inference(backward_subsumption_resolution,[status(thm)],[f275,f443])).
% 1.27/0.52 fof(f448,plain,(
% 1.27/0.52 ![X0,X1]: (~member(X0,x)|member(X0,X1)|~member(X0,null_class)|~spl0_21)),
% 1.27/0.52 inference(resolution,[status(thm)],[f445,f263])).
% 1.27/0.52 fof(f449,plain,(
% 1.27/0.52 ![X0,X1]: (member(X0,X1)|~member(X0,null_class)|~spl0_21)),
% 1.27/0.52 inference(forward_subsumption_resolution,[status(thm)],[f448,f268])).
% 1.27/0.52 fof(f452,plain,(
% 1.27/0.52 ![X0]: (~member(X0,universal_class)|member(X0,y)|~member(X0,x)|~spl0_21)),
% 1.27/0.52 inference(backward_subsumption_resolution,[status(thm)],[f271,f449])).
% 1.27/0.52 fof(f474,plain,(
% 1.27/0.52 ![X0,X1]: (subclass(X0,X1)|~subclass(X0,x)|~member(not_subclass_element(X0,X1),universal_class)|member(not_subclass_element(X0,X1),y)|~spl0_21)),
% 1.27/0.52 inference(resolution,[status(thm)],[f306,f452])).
% 1.27/0.52 fof(f479,plain,(
% 1.27/0.52 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,complement(X2))|~member(not_subclass_element(X0,X1),X2))),
% 1.27/0.52 inference(resolution,[status(thm)],[f306,f148])).
% 1.27/0.52 fof(f488,plain,(
% 1.27/0.52 ![X0,X1]: (~member(not_subclass_element(X0,X1),null_class)|subclass(X0,X1)|~subclass(X0,y))),
% 1.27/0.52 inference(resolution,[status(thm)],[f264,f306])).
% 1.27/0.52 fof(f493,plain,(
% 1.27/0.52 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,complement(X2))|subclass(X0,X1)|~subclass(X0,X2))),
% 1.27/0.52 inference(resolution,[status(thm)],[f479,f306])).
% 1.27/0.52 fof(f494,plain,(
% 1.27/0.52 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,complement(X2))|~subclass(X0,X2))),
% 1.27/0.52 inference(duplicate_literals_removal,[status(esa)],[f493])).
% 1.27/0.52 fof(f500,plain,(
% 1.27/0.52 ![X0,X1]: (subclass(complement(X0),X1)|~subclass(complement(X0),X0))),
% 1.27/0.52 inference(resolution,[status(thm)],[f494,f250])).
% 1.27/0.52 fof(f501,plain,(
% 1.27/0.52 ![X0]: (subclass(complement(universal_class),X0))),
% 1.27/0.52 inference(resolution,[status(thm)],[f500,f120])).
% 1.27/0.52 fof(f545,plain,(
% 1.27/0.52 spl0_37 <=> subclass(null_class,y)),
% 1.27/0.52 introduced(split_symbol_definition)).
% 1.27/0.52 fof(f547,plain,(
% 1.27/0.52 ~subclass(null_class,y)|spl0_37),
% 1.27/0.52 inference(component_clause,[status(thm)],[f545])).
% 1.27/0.52 fof(f548,plain,(
% 1.27/0.52 ![X0]: (subclass(null_class,X0)|~subclass(null_class,y)|subclass(null_class,X0))),
% 1.27/0.52 inference(resolution,[status(thm)],[f488,f118])).
% 1.27/0.52 fof(f549,plain,(
% 1.27/0.52 spl0_21|~spl0_37),
% 1.27/0.52 inference(split_clause,[status(thm)],[f548,f407,f545])).
% 1.27/0.52 fof(f572,plain,(
% 1.27/0.52 ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),universal_class)|subclass(X0,X1))),
% 1.27/0.52 inference(resolution,[status(thm)],[f305,f118])).
% 1.27/0.52 fof(f573,plain,(
% 1.27/0.52 ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),universal_class))),
% 1.27/0.52 inference(duplicate_literals_removal,[status(esa)],[f572])).
% 1.27/0.52 fof(f962,plain,(
% 1.27/0.52 ![X0]: (complement(X0)=null_class|~member(regular(complement(X0)),X0))),
% 1.27/0.52 inference(resolution,[status(thm)],[f190,f148])).
% 1.27/0.52 fof(f964,plain,(
% 1.27/0.52 ![X0,X1]: (X0=null_class|~subclass(X0,X1)|member(regular(X0),X1))),
% 1.27/0.52 inference(resolution,[status(thm)],[f190,f117])).
% 1.27/0.52 fof(f1119,plain,(
% 1.27/0.52 ![X0]: (complement(X0)=null_class|~subclass(complement(X0),X0)|complement(X0)=null_class)),
% 1.27/0.52 inference(resolution,[status(thm)],[f964,f962])).
% 1.27/0.52 fof(f1120,plain,(
% 1.27/0.52 ![X0]: (complement(X0)=null_class|~subclass(complement(X0),X0))),
% 1.27/0.52 inference(duplicate_literals_removal,[status(esa)],[f1119])).
% 1.27/0.52 fof(f1132,plain,(
% 1.27/0.52 complement(universal_class)=null_class),
% 1.27/0.52 inference(resolution,[status(thm)],[f1120,f501])).
% 1.27/0.52 fof(f1138,plain,(
% 1.27/0.52 ![X0]: (subclass(null_class,X0))),
% 1.27/0.52 inference(backward_demodulation,[status(thm)],[f1132,f501])).
% 1.27/0.52 fof(f1176,plain,(
% 1.27/0.52 $false|spl0_37),
% 1.27/0.52 inference(backward_subsumption_resolution,[status(thm)],[f547,f1138])).
% 1.27/0.52 fof(f1177,plain,(
% 1.27/0.52 spl0_37),
% 1.27/0.52 inference(contradiction_clause,[status(thm)],[f1176])).
% 1.27/0.52 fof(f1211,plain,(
% 1.27/0.52 ![X0,X1]: (subclass(X0,X1)|~subclass(X0,x)|member(not_subclass_element(X0,X1),y)|~spl0_21)),
% 1.27/0.52 inference(forward_subsumption_resolution,[status(thm)],[f474,f573])).
% 1.27/0.52 fof(f1396,plain,(
% 1.27/0.52 ![X0]: (subclass(X0,y)|~subclass(X0,x)|subclass(X0,y)|~spl0_21)),
% 1.27/0.52 inference(resolution,[status(thm)],[f1211,f119])).
% 1.27/0.52 fof(f1397,plain,(
% 1.27/0.52 ![X0]: (subclass(X0,y)|~subclass(X0,x)|~spl0_21)),
% 1.27/0.52 inference(duplicate_literals_removal,[status(esa)],[f1396])).
% 1.27/0.52 fof(f1405,plain,(
% 1.27/0.52 subclass(x,y)|~spl0_21),
% 1.27/0.52 inference(resolution,[status(thm)],[f1397,f250])).
% 1.27/0.52 fof(f1406,plain,(
% 1.27/0.52 $false|spl0_0|~spl0_21),
% 1.27/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1405,f256])).
% 1.27/0.52 fof(f1407,plain,(
% 1.27/0.52 spl0_0|~spl0_21),
% 1.27/0.52 inference(contradiction_clause,[status(thm)],[f1406])).
% 1.27/0.52 fof(f1408,plain,(
% 1.27/0.52 $false|~spl0_1),
% 1.27/0.52 inference(forward_subsumption_resolution,[status(thm)],[f258,f249])).
% 1.27/0.52 fof(f1409,plain,(
% 1.27/0.52 ~spl0_1),
% 1.27/0.52 inference(contradiction_clause,[status(thm)],[f1408])).
% 1.27/0.52 fof(f1410,plain,(
% 1.27/0.52 $false),
% 1.27/0.52 inference(sat_refutation,[status(thm)],[f261,f549,f1177,f1407,f1409])).
% 1.27/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 1.27/0.53 % Elapsed time: 0.182470 seconds
% 1.27/0.53 % CPU time: 1.318916 seconds
% 1.27/0.53 % Total memory used: 78.787 MB
% 1.27/0.53 % Net memory used: 77.777 MB
%------------------------------------------------------------------------------