TSTP Solution File: SET069+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET069+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:38:58 EDT 2024
% Result : Theorem 4.63s 0.95s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET069+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n012.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 : Mon Apr 29 21:17:27 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 4.63/0.95 % Refutation found
% 4.63/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.63/0.95 % SZS output start CNFRefutation for theBenchmark
% 4.63/0.95 fof(f1,axiom,(
% 4.63/0.95 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 4.63/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.63/0.95 fof(f2,axiom,(
% 4.63/0.95 (! [X] : subclass(X,universal_class) )),
% 4.63/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.63/0.95 fof(f3,axiom,(
% 4.63/0.95 (! [X,Y] :( X = Y<=> ( subclass(X,Y)& subclass(Y,X) ) ) )),
% 4.63/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.63/0.95 fof(f4,axiom,(
% 4.63/0.95 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 4.63/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.63/0.95 fof(f6,axiom,(
% 4.63/0.95 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 4.63/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.63/0.95 fof(f13,axiom,(
% 4.63/0.95 (! [X,Y,Z] :( member(Z,intersection(X,Y))<=> ( member(Z,X)& member(Z,Y) ) ) )),
% 4.63/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.63/0.95 fof(f16,axiom,(
% 4.63/0.95 (! [X] : ~ member(X,null_class) )),
% 4.63/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.63/0.95 fof(f44,conjecture,(
% 4.63/0.95 (! [X,Y] :( ~ member(Y,universal_class)=> unordered_pair(X,Y) = singleton(X) ) )),
% 4.63/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.63/0.95 fof(f45,negated_conjecture,(
% 4.63/0.95 ~((! [X,Y] :( ~ member(Y,universal_class)=> unordered_pair(X,Y) = singleton(X) ) ))),
% 4.63/0.95 inference(negated_conjecture,[status(cth)],[f44])).
% 4.63/0.95 fof(f46,plain,(
% 4.63/0.95 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 4.63/0.95 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 4.63/0.95 fof(f47,plain,(
% 4.63/0.95 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 4.63/0.95 inference(NNF_transformation,[status(esa)],[f46])).
% 4.63/0.95 fof(f48,plain,(
% 4.63/0.95 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 4.63/0.95 inference(miniscoping,[status(esa)],[f47])).
% 4.63/0.95 fof(f49,plain,(
% 4.63/0.95 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(member(sk0_0(Y,X),X)&~member(sk0_0(Y,X),Y))))),
% 4.63/0.95 inference(skolemization,[status(esa)],[f48])).
% 4.63/0.95 fof(f50,plain,(
% 4.63/0.95 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f49])).
% 4.63/0.95 fof(f51,plain,(
% 4.63/0.95 ![X0,X1]: (subclass(X0,X1)|member(sk0_0(X1,X0),X0))),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f49])).
% 4.63/0.95 fof(f52,plain,(
% 4.63/0.95 ![X0,X1]: (subclass(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f49])).
% 4.63/0.95 fof(f53,plain,(
% 4.63/0.95 ![X0]: (subclass(X0,universal_class))),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f2])).
% 4.63/0.95 fof(f54,plain,(
% 4.63/0.95 ![X,Y]: ((~X=Y|(subclass(X,Y)&subclass(Y,X)))&(X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 4.63/0.95 inference(NNF_transformation,[status(esa)],[f3])).
% 4.63/0.95 fof(f55,plain,(
% 4.63/0.95 (![X,Y]: (~X=Y|(subclass(X,Y)&subclass(Y,X))))&(![X,Y]: (X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 4.63/0.95 inference(miniscoping,[status(esa)],[f54])).
% 4.63/0.95 fof(f58,plain,(
% 4.63/0.95 ![X0,X1]: (X0=X1|~subclass(X0,X1)|~subclass(X1,X0))),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f55])).
% 4.63/0.95 fof(f59,plain,(
% 4.63/0.95 ![U,X,Y]: ((~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y)))&(member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 4.63/0.95 inference(NNF_transformation,[status(esa)],[f4])).
% 4.63/0.95 fof(f60,plain,(
% 4.63/0.95 (![U,X,Y]: (~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y))))&(![U,X,Y]: (member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 4.63/0.95 inference(miniscoping,[status(esa)],[f59])).
% 4.63/0.95 fof(f61,plain,(
% 4.63/0.95 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|member(X0,universal_class))),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f60])).
% 4.63/0.95 fof(f62,plain,(
% 4.63/0.95 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f60])).
% 4.63/0.95 fof(f63,plain,(
% 4.63/0.95 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X1)),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f60])).
% 4.63/0.95 fof(f66,plain,(
% 4.63/0.95 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 4.63/0.95 inference(cnf_transformation,[status(esa)],[f6])).
% 4.63/0.96 fof(f85,plain,(
% 4.63/0.96 ![X,Y,Z]: ((~member(Z,intersection(X,Y))|(member(Z,X)&member(Z,Y)))&(member(Z,intersection(X,Y))|(~member(Z,X)|~member(Z,Y))))),
% 4.63/0.96 inference(NNF_transformation,[status(esa)],[f13])).
% 4.63/0.96 fof(f86,plain,(
% 4.63/0.96 (![X,Y,Z]: (~member(Z,intersection(X,Y))|(member(Z,X)&member(Z,Y))))&(![X,Y,Z]: (member(Z,intersection(X,Y))|(~member(Z,X)|~member(Z,Y))))),
% 4.63/0.96 inference(miniscoping,[status(esa)],[f85])).
% 4.63/0.96 fof(f89,plain,(
% 4.63/0.96 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 4.63/0.96 inference(cnf_transformation,[status(esa)],[f86])).
% 4.63/0.96 fof(f96,plain,(
% 4.63/0.96 ![X0]: (~member(X0,null_class))),
% 4.63/0.96 inference(cnf_transformation,[status(esa)],[f16])).
% 4.63/0.96 fof(f191,plain,(
% 4.63/0.96 (?[X,Y]: (~member(Y,universal_class)&~unordered_pair(X,Y)=singleton(X)))),
% 4.63/0.96 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 4.63/0.96 fof(f192,plain,(
% 4.63/0.96 ?[Y]: (~member(Y,universal_class)&(?[X]: ~unordered_pair(X,Y)=singleton(X)))),
% 4.63/0.96 inference(miniscoping,[status(esa)],[f191])).
% 4.63/0.96 fof(f193,plain,(
% 4.63/0.96 (~member(sk0_7,universal_class)&~unordered_pair(sk0_8,sk0_7)=singleton(sk0_8))),
% 4.63/0.96 inference(skolemization,[status(esa)],[f192])).
% 4.63/0.96 fof(f194,plain,(
% 4.63/0.96 ~member(sk0_7,universal_class)),
% 4.63/0.96 inference(cnf_transformation,[status(esa)],[f193])).
% 4.63/0.96 fof(f195,plain,(
% 4.63/0.96 ~unordered_pair(sk0_8,sk0_7)=singleton(sk0_8)),
% 4.63/0.96 inference(cnf_transformation,[status(esa)],[f193])).
% 4.63/0.96 fof(f198,plain,(
% 4.63/0.96 ![X0,X1]: (member(X0,unordered_pair(X0,X1))|~member(X0,universal_class))),
% 4.63/0.96 inference(destructive_equality_resolution,[status(esa)],[f63])).
% 4.63/0.96 fof(f205,plain,(
% 4.63/0.96 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 4.63/0.96 inference(paramodulation,[status(thm)],[f66,f62])).
% 4.63/0.96 fof(f206,plain,(
% 4.63/0.96 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 4.63/0.96 inference(duplicate_literals_removal,[status(esa)],[f205])).
% 4.63/0.96 fof(f209,plain,(
% 4.63/0.96 ![X0,X1,X2,X3]: (member(X0,unordered_pair(X0,X1))|~member(X0,unordered_pair(X2,X3)))),
% 4.63/0.96 inference(resolution,[status(thm)],[f198,f61])).
% 4.63/0.96 fof(f267,plain,(
% 4.63/0.96 ![X0,X1,X2]: (member(X0,singleton(X0))|~member(X0,unordered_pair(X1,X2)))),
% 4.63/0.96 inference(paramodulation,[status(thm)],[f66,f209])).
% 4.63/0.96 fof(f283,plain,(
% 4.63/0.96 ![X0]: (subclass(null_class,X0))),
% 4.63/0.96 inference(resolution,[status(thm)],[f51,f96])).
% 4.63/0.96 fof(f287,plain,(
% 4.63/0.96 ![X0,X1]: (subclass(singleton(X0),X1)|sk0_0(X1,singleton(X0))=X0)),
% 4.63/0.96 inference(resolution,[status(thm)],[f51,f206])).
% 4.63/0.96 fof(f288,plain,(
% 4.63/0.96 ![X0,X1,X2]: (subclass(unordered_pair(X0,X1),X2)|sk0_0(X2,unordered_pair(X0,X1))=X0|sk0_0(X2,unordered_pair(X0,X1))=X1)),
% 4.63/0.96 inference(resolution,[status(thm)],[f51,f62])).
% 4.63/0.96 fof(f294,plain,(
% 4.63/0.96 ![X0,X1,X2]: (sk0_0(X0,unordered_pair(X1,X2))=X1|sk0_0(X0,unordered_pair(X1,X2))=X2|X0=unordered_pair(X1,X2)|~subclass(X0,unordered_pair(X1,X2)))),
% 4.63/0.96 inference(resolution,[status(thm)],[f288,f58])).
% 4.63/0.96 fof(f705,plain,(
% 4.63/0.96 spl0_2 <=> sk0_0(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))=sk0_8),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f706,plain,(
% 4.63/0.96 sk0_0(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))=sk0_8|~spl0_2),
% 4.63/0.96 inference(component_clause,[status(thm)],[f705])).
% 4.63/0.96 fof(f708,plain,(
% 4.63/0.96 spl0_3 <=> sk0_0(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))=sk0_7),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f709,plain,(
% 4.63/0.96 sk0_0(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))=sk0_7|~spl0_3),
% 4.63/0.96 inference(component_clause,[status(thm)],[f708])).
% 4.63/0.96 fof(f711,plain,(
% 4.63/0.96 spl0_4 <=> sk0_0(unordered_pair(sk0_8,sk0_7),singleton(sk0_8))=sk0_8),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f712,plain,(
% 4.63/0.96 sk0_0(unordered_pair(sk0_8,sk0_7),singleton(sk0_8))=sk0_8|~spl0_4),
% 4.63/0.96 inference(component_clause,[status(thm)],[f711])).
% 4.63/0.96 fof(f942,plain,(
% 4.63/0.96 ![X0,X1,X2,X3]: (~subclass(X0,X1)|member(X2,X1)|~subclass(X3,X0)|~member(X2,X3))),
% 4.63/0.96 inference(resolution,[status(thm)],[f50,f50])).
% 4.63/0.96 fof(f946,plain,(
% 4.63/0.96 ![X0]: (~subclass(X0,universal_class)|~member(sk0_7,X0))),
% 4.63/0.96 inference(resolution,[status(thm)],[f50,f194])).
% 4.63/0.96 fof(f947,plain,(
% 4.63/0.96 ![X0]: (~member(sk0_7,X0))),
% 4.63/0.96 inference(forward_subsumption_resolution,[status(thm)],[f946,f53])).
% 4.63/0.96 fof(f1007,plain,(
% 4.63/0.96 spl0_5 <=> ~member(sk0_7,X0)),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1010,plain,(
% 4.63/0.96 ![X0,X1]: (~member(sk0_7,X0)|~member(sk0_7,X1))),
% 4.63/0.96 inference(resolution,[status(thm)],[f89,f947])).
% 4.63/0.96 fof(f1011,plain,(
% 4.63/0.96 spl0_5),
% 4.63/0.96 inference(split_clause,[status(thm)],[f1010,f1007])).
% 4.63/0.96 fof(f1145,plain,(
% 4.63/0.96 ![X0,X1,X2,X3,X4,X5]: (~subclass(X0,X1)|~subclass(X2,X0)|~member(X3,X2)|~subclass(X4,X5)|member(X3,X5)|~subclass(X1,X4))),
% 4.63/0.96 inference(resolution,[status(thm)],[f942,f942])).
% 4.63/0.96 fof(f1326,plain,(
% 4.63/0.96 spl0_6 <=> subclass(null_class,null_class)),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1328,plain,(
% 4.63/0.96 ~subclass(null_class,null_class)|spl0_6),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1326])).
% 4.63/0.96 fof(f1329,plain,(
% 4.63/0.96 spl0_7 <=> ~member(X0,null_class)|member(X0,null_class)),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1332,plain,(
% 4.63/0.96 ![X0]: (~subclass(null_class,null_class)|~member(X0,null_class)|member(X0,null_class))),
% 4.63/0.96 inference(resolution,[status(thm)],[f1145,f283])).
% 4.63/0.96 fof(f1333,plain,(
% 4.63/0.96 ~spl0_6|spl0_7),
% 4.63/0.96 inference(split_clause,[status(thm)],[f1332,f1326,f1329])).
% 4.63/0.96 fof(f1339,plain,(
% 4.63/0.96 spl0_8 <=> subclass(universal_class,universal_class)),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1341,plain,(
% 4.63/0.96 ~subclass(universal_class,universal_class)|spl0_8),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1339])).
% 4.63/0.96 fof(f1342,plain,(
% 4.63/0.96 spl0_9 <=> ~member(X0,universal_class)|member(X0,universal_class)),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1345,plain,(
% 4.63/0.96 ![X0]: (~subclass(universal_class,universal_class)|~member(X0,universal_class)|member(X0,universal_class))),
% 4.63/0.96 inference(resolution,[status(thm)],[f1145,f53])).
% 4.63/0.96 fof(f1346,plain,(
% 4.63/0.96 ~spl0_8|spl0_9),
% 4.63/0.96 inference(split_clause,[status(thm)],[f1345,f1339,f1342])).
% 4.63/0.96 fof(f1436,plain,(
% 4.63/0.96 $false|spl0_8),
% 4.63/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1341,f53])).
% 4.63/0.96 fof(f1437,plain,(
% 4.63/0.96 spl0_8),
% 4.63/0.96 inference(contradiction_clause,[status(thm)],[f1436])).
% 4.63/0.96 fof(f1438,plain,(
% 4.63/0.96 $false|spl0_6),
% 4.63/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1328,f283])).
% 4.63/0.96 fof(f1439,plain,(
% 4.63/0.96 spl0_6),
% 4.63/0.96 inference(contradiction_clause,[status(thm)],[f1438])).
% 4.63/0.96 fof(f1462,plain,(
% 4.63/0.96 spl0_10 <=> ~subclass(X0,null_class)|~subclass(null_class,X0)),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1463,plain,(
% 4.63/0.96 ![X0]: (~subclass(X0,null_class)|~subclass(null_class,X0)|~spl0_10)),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1462])).
% 4.63/0.96 fof(f1472,plain,(
% 4.63/0.96 spl0_11 <=> ~subclass(X0,universal_class)|~subclass(universal_class,X0)),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1473,plain,(
% 4.63/0.96 ![X0]: (~subclass(X0,universal_class)|~subclass(universal_class,X0)|~spl0_11)),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1472])).
% 4.63/0.96 fof(f1568,plain,(
% 4.63/0.96 ![X0]: (~subclass(universal_class,X0)|~spl0_11)),
% 4.63/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1473,f53])).
% 4.63/0.96 fof(f1569,plain,(
% 4.63/0.96 ![X0]: (~subclass(X0,null_class)|~spl0_10)),
% 4.63/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1463,f283])).
% 4.63/0.96 fof(f1573,plain,(
% 4.63/0.96 $false|~spl0_11),
% 4.63/0.96 inference(resolution,[status(thm)],[f1568,f53])).
% 4.63/0.96 fof(f1574,plain,(
% 4.63/0.96 ~spl0_11),
% 4.63/0.96 inference(contradiction_clause,[status(thm)],[f1573])).
% 4.63/0.96 fof(f1575,plain,(
% 4.63/0.96 $false|~spl0_10),
% 4.63/0.96 inference(resolution,[status(thm)],[f1569,f283])).
% 4.63/0.96 fof(f1576,plain,(
% 4.63/0.96 ~spl0_10),
% 4.63/0.96 inference(contradiction_clause,[status(thm)],[f1575])).
% 4.63/0.96 fof(f1808,plain,(
% 4.63/0.96 spl0_20 <=> subclass(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1809,plain,(
% 4.63/0.96 subclass(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))|~spl0_20),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1808])).
% 4.63/0.96 fof(f1810,plain,(
% 4.63/0.96 ~subclass(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))|spl0_20),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1808])).
% 4.63/0.96 fof(f1811,plain,(
% 4.63/0.96 spl0_21 <=> member(sk0_8,unordered_pair(sk0_8,sk0_7))),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1812,plain,(
% 4.63/0.96 member(sk0_8,unordered_pair(sk0_8,sk0_7))|~spl0_21),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1811])).
% 4.63/0.96 fof(f1813,plain,(
% 4.63/0.96 ~member(sk0_8,unordered_pair(sk0_8,sk0_7))|spl0_21),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1811])).
% 4.63/0.96 fof(f1814,plain,(
% 4.63/0.96 subclass(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))|~member(sk0_8,unordered_pair(sk0_8,sk0_7))|~spl0_4),
% 4.63/0.96 inference(paramodulation,[status(thm)],[f712,f52])).
% 4.63/0.96 fof(f1815,plain,(
% 4.63/0.96 spl0_20|~spl0_21|~spl0_4),
% 4.63/0.96 inference(split_clause,[status(thm)],[f1814,f1808,f1811,f711])).
% 4.63/0.96 fof(f1821,plain,(
% 4.63/0.96 spl0_23 <=> member(sk0_8,singleton(sk0_8))),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f1822,plain,(
% 4.63/0.96 member(sk0_8,singleton(sk0_8))|~spl0_23),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1821])).
% 4.63/0.96 fof(f1823,plain,(
% 4.63/0.96 ~member(sk0_8,singleton(sk0_8))|spl0_23),
% 4.63/0.96 inference(component_clause,[status(thm)],[f1821])).
% 4.63/0.96 fof(f1824,plain,(
% 4.63/0.96 subclass(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))|member(sk0_8,singleton(sk0_8))|~spl0_4),
% 4.63/0.96 inference(paramodulation,[status(thm)],[f712,f51])).
% 4.63/0.96 fof(f1825,plain,(
% 4.63/0.96 spl0_20|spl0_23|~spl0_4),
% 4.63/0.96 inference(split_clause,[status(thm)],[f1824,f1808,f1821,f711])).
% 4.63/0.96 fof(f1835,plain,(
% 4.63/0.96 ![X0,X1]: (~member(sk0_8,unordered_pair(X0,X1))|spl0_21)),
% 4.63/0.96 inference(resolution,[status(thm)],[f1813,f209])).
% 4.63/0.96 fof(f1884,plain,(
% 4.63/0.96 ![X0]: (~member(sk0_8,singleton(X0))|spl0_21)),
% 4.63/0.96 inference(paramodulation,[status(thm)],[f66,f1835])).
% 4.63/0.96 fof(f1885,plain,(
% 4.63/0.96 $false|spl0_21|~spl0_23),
% 4.63/0.96 inference(backward_subsumption_resolution,[status(thm)],[f1822,f1884])).
% 4.63/0.96 fof(f1886,plain,(
% 4.63/0.96 spl0_21|~spl0_23),
% 4.63/0.96 inference(contradiction_clause,[status(thm)],[f1885])).
% 4.63/0.96 fof(f2049,plain,(
% 4.63/0.96 spl0_37 <=> singleton(sk0_8)=unordered_pair(sk0_8,sk0_7)),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f2050,plain,(
% 4.63/0.96 singleton(sk0_8)=unordered_pair(sk0_8,sk0_7)|~spl0_37),
% 4.63/0.96 inference(component_clause,[status(thm)],[f2049])).
% 4.63/0.96 fof(f2052,plain,(
% 4.63/0.96 sk0_0(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))=sk0_8|sk0_0(singleton(sk0_8),unordered_pair(sk0_8,sk0_7))=sk0_7|singleton(sk0_8)=unordered_pair(sk0_8,sk0_7)|~spl0_20),
% 4.63/0.96 inference(resolution,[status(thm)],[f1809,f294])).
% 4.63/0.96 fof(f2053,plain,(
% 4.63/0.96 spl0_2|spl0_3|spl0_37|~spl0_20),
% 4.63/0.96 inference(split_clause,[status(thm)],[f2052,f705,f708,f2049,f1808])).
% 4.63/0.96 fof(f2054,plain,(
% 4.63/0.96 spl0_38 <=> subclass(unordered_pair(sk0_8,sk0_7),singleton(sk0_8))),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f2097,plain,(
% 4.63/0.96 unordered_pair(sk0_8,sk0_7)=singleton(sk0_8)|~subclass(unordered_pair(sk0_8,sk0_7),singleton(sk0_8))|~spl0_20),
% 4.63/0.96 inference(resolution,[status(thm)],[f1809,f58])).
% 4.63/0.96 fof(f2098,plain,(
% 4.63/0.96 spl0_37|~spl0_38|~spl0_20),
% 4.63/0.96 inference(split_clause,[status(thm)],[f2097,f2049,f2054,f1808])).
% 4.63/0.96 fof(f2104,plain,(
% 4.63/0.96 $false|~spl0_37),
% 4.63/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2050,f195])).
% 4.63/0.96 fof(f2105,plain,(
% 4.63/0.96 ~spl0_37),
% 4.63/0.96 inference(contradiction_clause,[status(thm)],[f2104])).
% 4.63/0.96 fof(f2128,plain,(
% 4.63/0.96 spl0_45 <=> member(sk0_7,unordered_pair(sk0_8,sk0_7))),
% 4.63/0.96 introduced(split_symbol_definition)).
% 4.63/0.96 fof(f2129,plain,(
% 4.63/0.96 member(sk0_7,unordered_pair(sk0_8,sk0_7))|~spl0_45),
% 4.63/0.96 inference(component_clause,[status(thm)],[f2128])).
% 4.63/0.96 fof(f2133,plain,(
% 4.63/0.96 $false|~spl0_45),
% 4.63/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2129,f947])).
% 4.63/0.96 fof(f2134,plain,(
% 4.63/0.96 ~spl0_45),
% 4.63/0.96 inference(contradiction_clause,[status(thm)],[f2133])).
% 4.63/0.96 fof(f2182,plain,(
% 4.63/0.96 sk0_0(unordered_pair(sk0_8,sk0_7),singleton(sk0_8))=sk0_8|spl0_20),
% 4.63/0.96 inference(resolution,[status(thm)],[f1810,f287])).
% 4.63/0.96 fof(f2183,plain,(
% 4.63/0.96 spl0_4|spl0_20),
% 4.63/0.96 inference(split_clause,[status(thm)],[f2182,f711,f1808])).
% 4.63/0.96 fof(f2238,plain,(
% 4.63/0.96 subclass(unordered_pair(sk0_8,sk0_7),singleton(sk0_8))|~member(sk0_8,singleton(sk0_8))|~spl0_2),
% 4.63/0.96 inference(paramodulation,[status(thm)],[f706,f52])).
% 4.63/0.96 fof(f2239,plain,(
% 4.63/0.96 spl0_38|~spl0_23|~spl0_2),
% 4.63/0.96 inference(split_clause,[status(thm)],[f2238,f2054,f1821,f705])).
% 4.63/0.96 fof(f2245,plain,(
% 4.63/0.96 subclass(unordered_pair(sk0_8,sk0_7),singleton(sk0_8))|member(sk0_8,unordered_pair(sk0_8,sk0_7))|~spl0_2),
% 4.63/0.96 inference(paramodulation,[status(thm)],[f706,f51])).
% 4.63/0.96 fof(f2246,plain,(
% 4.63/0.96 spl0_38|spl0_21|~spl0_2),
% 4.63/0.96 inference(split_clause,[status(thm)],[f2245,f2054,f1811,f705])).
% 4.63/0.96 fof(f2252,plain,(
% 4.63/0.96 ![X0,X1]: (~member(sk0_8,unordered_pair(X0,X1))|spl0_23)),
% 4.63/0.96 inference(resolution,[status(thm)],[f1823,f267])).
% 4.63/0.96 fof(f2409,plain,(
% 4.63/0.96 subclass(unordered_pair(sk0_8,sk0_7),singleton(sk0_8))|member(sk0_7,unordered_pair(sk0_8,sk0_7))|~spl0_3),
% 4.63/0.96 inference(paramodulation,[status(thm)],[f709,f51])).
% 4.63/0.96 fof(f2410,plain,(
% 4.63/0.96 spl0_38|spl0_45|~spl0_3),
% 4.63/0.96 inference(split_clause,[status(thm)],[f2409,f2054,f2128,f708])).
% 4.63/0.96 fof(f2504,plain,(
% 4.63/0.96 $false|spl0_23|~spl0_21),
% 4.63/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1812,f2252])).
% 4.63/0.96 fof(f2505,plain,(
% 4.63/0.96 spl0_23|~spl0_21),
% 4.63/0.96 inference(contradiction_clause,[status(thm)],[f2504])).
% 4.63/0.96 fof(f2506,plain,(
% 4.63/0.96 $false),
% 4.63/0.96 inference(sat_refutation,[status(thm)],[f1011,f1333,f1346,f1437,f1439,f1574,f1576,f1815,f1825,f1886,f2053,f2098,f2105,f2134,f2183,f2239,f2246,f2410,f2505])).
% 4.63/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 4.63/0.97 % Elapsed time: 0.619558 seconds
% 4.63/0.97 % CPU time: 4.796780 seconds
% 4.63/0.97 % Total memory used: 131.301 MB
% 4.63/0.97 % Net memory used: 125.537 MB
%------------------------------------------------------------------------------