TSTP Solution File: SET188-6 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET188-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:34:13 EDT 2023
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET188-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n014.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 10:17:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.51 fof(f1,axiom,(
% 0.20/0.51 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f2,axiom,(
% 0.20/0.51 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f3,axiom,(
% 0.20/0.51 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f4,axiom,(
% 0.20/0.51 (![X]: (subclass(X,universal_class) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f7,axiom,(
% 0.20/0.51 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f21,axiom,(
% 0.20/0.51 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f22,axiom,(
% 0.20/0.51 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f23,axiom,(
% 0.20/0.51 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f24,axiom,(
% 0.20/0.51 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f25,axiom,(
% 0.20/0.51 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f67,axiom,(
% 0.20/0.51 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f113,negated_conjecture,(
% 0.20/0.51 intersection(complement(y),x) = null_class ),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f114,negated_conjecture,(
% 0.20/0.51 ~ subclass(x,y) ),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f115,plain,(
% 0.20/0.51 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f1])).
% 0.20/0.51 fof(f116,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f115])).
% 0.20/0.51 fof(f117,plain,(
% 0.20/0.51 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.51 fof(f118,plain,(
% 0.20/0.51 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.51 fof(f119,plain,(
% 0.20/0.51 ![X0]: (subclass(X0,universal_class))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.51 fof(f122,plain,(
% 0.20/0.51 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.51 fof(f142,plain,(
% 0.20/0.51 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f21])).
% 0.20/0.51 fof(f143,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f142])).
% 0.20/0.51 fof(f144,plain,(
% 0.20/0.51 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f22])).
% 0.20/0.51 fof(f145,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f144])).
% 0.20/0.51 fof(f146,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.51 fof(f147,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.51 fof(f148,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.51 fof(f190,plain,(
% 0.20/0.51 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f67])).
% 0.20/0.51 fof(f246,plain,(
% 0.20/0.51 intersection(complement(y),x)=null_class),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.51 fof(f247,plain,(
% 0.20/0.51 ~subclass(x,y)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f114])).
% 0.20/0.51 fof(f252,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~member(X0,X1)|~subclass(X2,complement(X1))|~member(X0,X2))),
% 0.20/0.51 inference(resolution,[status(thm)],[f147,f116])).
% 0.20/0.51 fof(f257,plain,(
% 0.20/0.51 ![X0,X1,X2]: (member(X0,complement(X1))|member(X0,X1)|~subclass(X2,universal_class)|~member(X0,X2))),
% 0.20/0.51 inference(resolution,[status(thm)],[f148,f116])).
% 0.20/0.51 fof(f259,plain,(
% 0.20/0.51 ![X0,X1,X2]: (member(X0,complement(X1))|member(X0,X1)|~member(X0,X2))),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f257,f119])).
% 0.20/0.51 fof(f262,plain,(
% 0.20/0.51 ![X0]: (~member(X0,complement(y))|~member(X0,x)|member(X0,null_class))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f246,f146])).
% 0.20/0.51 fof(f290,plain,(
% 0.20/0.51 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X1))),
% 0.20/0.51 inference(resolution,[status(thm)],[f117,f145])).
% 0.20/0.51 fof(f291,plain,(
% 0.20/0.51 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f117,f143])).
% 0.20/0.51 fof(f337,plain,(
% 0.20/0.51 ![X0]: (~member(not_subclass_element(x,X0),complement(y))|member(not_subclass_element(x,X0),null_class)|subclass(x,X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f262,f117])).
% 0.20/0.51 fof(f340,plain,(
% 0.20/0.51 ![X0,X1]: (member(not_subclass_element(x,X0),null_class)|subclass(x,X0)|member(not_subclass_element(x,X0),y)|~member(not_subclass_element(x,X0),X1))),
% 0.20/0.51 inference(resolution,[status(thm)],[f337,f259])).
% 0.20/0.51 fof(f342,plain,(
% 0.20/0.51 spl0_9 <=> member(not_subclass_element(x,y),null_class)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f343,plain,(
% 0.20/0.51 member(not_subclass_element(x,y),null_class)|~spl0_9),
% 0.20/0.51 inference(component_clause,[status(thm)],[f342])).
% 0.20/0.51 fof(f345,plain,(
% 0.20/0.51 spl0_10 <=> subclass(x,y)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f346,plain,(
% 0.20/0.51 subclass(x,y)|~spl0_10),
% 0.20/0.51 inference(component_clause,[status(thm)],[f345])).
% 0.20/0.51 fof(f348,plain,(
% 0.20/0.51 spl0_11 <=> ~member(not_subclass_element(x,y),X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f349,plain,(
% 0.20/0.51 ![X0]: (~member(not_subclass_element(x,y),X0)|~spl0_11)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f348])).
% 0.20/0.51 fof(f351,plain,(
% 0.20/0.51 ![X0]: (member(not_subclass_element(x,y),null_class)|subclass(x,y)|~member(not_subclass_element(x,y),X0)|subclass(x,y))),
% 0.20/0.51 inference(resolution,[status(thm)],[f340,f118])).
% 0.20/0.51 fof(f352,plain,(
% 0.20/0.51 spl0_9|spl0_10|spl0_11),
% 0.20/0.51 inference(split_clause,[status(thm)],[f351,f342,f345,f348])).
% 0.20/0.51 fof(f355,plain,(
% 0.20/0.51 subclass(x,y)|~spl0_11),
% 0.20/0.51 inference(resolution,[status(thm)],[f349,f117])).
% 0.20/0.51 fof(f356,plain,(
% 0.20/0.51 $false|~spl0_11),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f355,f247])).
% 0.20/0.51 fof(f357,plain,(
% 0.20/0.51 ~spl0_11),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f356])).
% 0.20/0.51 fof(f399,plain,(
% 0.20/0.51 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 0.20/0.51 inference(resolution,[status(thm)],[f290,f118])).
% 0.20/0.51 fof(f400,plain,(
% 0.20/0.51 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f399])).
% 0.20/0.51 fof(f451,plain,(
% 0.20/0.51 ![X0,X1]: (~subclass(X0,intersection(X1,X0))|X0=intersection(X1,X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f400,f122])).
% 0.20/0.51 fof(f488,plain,(
% 0.20/0.51 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f291,f118])).
% 0.20/0.51 fof(f489,plain,(
% 0.20/0.51 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f488])).
% 0.20/0.51 fof(f514,plain,(
% 0.20/0.51 ![X0]: (subclass(null_class,X0)|X0=null_class)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f190,f489])).
% 0.20/0.51 fof(f515,plain,(
% 0.20/0.51 ![X0]: (intersection(X0,null_class)=null_class|null_class=intersection(X0,null_class))),
% 0.20/0.51 inference(resolution,[status(thm)],[f514,f451])).
% 0.20/0.51 fof(f516,plain,(
% 0.20/0.51 ![X0]: (intersection(X0,null_class)=null_class)),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f515])).
% 0.20/0.51 fof(f569,plain,(
% 0.20/0.51 $false|~spl0_10),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f346,f247])).
% 0.20/0.51 fof(f570,plain,(
% 0.20/0.51 ~spl0_10),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f569])).
% 0.20/0.51 fof(f589,plain,(
% 0.20/0.51 ![X0]: (subclass(null_class,X0))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f516,f489])).
% 0.20/0.51 fof(f604,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,null_class)|member(X0,X1))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f516,f143])).
% 0.20/0.51 fof(f614,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,X1)|~member(X0,null_class))),
% 0.20/0.51 inference(resolution,[status(thm)],[f589,f252])).
% 0.20/0.51 fof(f650,plain,(
% 0.20/0.51 ![X0]: (~member(X0,null_class))),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f614,f604])).
% 0.20/0.51 fof(f783,plain,(
% 0.20/0.51 $false|~spl0_9),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f343,f650])).
% 0.20/0.51 fof(f784,plain,(
% 0.20/0.51 ~spl0_9),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f783])).
% 0.20/0.51 fof(f785,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(sat_refutation,[status(thm)],[f352,f357,f570,f784])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 1.24/0.53 % Elapsed time: 0.180462 seconds
% 1.24/0.53 % CPU time: 1.248383 seconds
% 1.24/0.53 % Memory used: 70.805 MB
%------------------------------------------------------------------------------