TSTP Solution File: SET505-6 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET505-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:34:37 EDT 2023
% Result : Unsatisfiable 48.20s 6.75s
% Output : CNFRefutation 48.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET505-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n009.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 10:07:31 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 48.20/6.75 % Refutation found
% 48.20/6.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 48.20/6.75 % SZS output start CNFRefutation for theBenchmark
% 48.20/6.75 fof(f1,axiom,(
% 48.20/6.75 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f4,axiom,(
% 48.20/6.75 (![X]: (subclass(X,universal_class) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f5,axiom,(
% 48.20/6.75 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f8,axiom,(
% 48.20/6.75 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f9,axiom,(
% 48.20/6.75 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f10,axiom,(
% 48.20/6.75 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f12,axiom,(
% 48.20/6.75 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f14,axiom,(
% 48.20/6.75 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f21,axiom,(
% 48.20/6.75 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f22,axiom,(
% 48.20/6.75 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f23,axiom,(
% 48.20/6.75 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f24,axiom,(
% 48.20/6.75 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f66,axiom,(
% 48.20/6.75 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f67,axiom,(
% 48.20/6.75 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f113,negated_conjecture,(
% 48.20/6.75 member(ordered_pair(universal_class,y),cross_product(universal_class,universal_class)) ),
% 48.20/6.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.20/6.75 fof(f114,plain,(
% 48.20/6.75 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 48.20/6.75 inference(miniscoping,[status(esa)],[f1])).
% 48.20/6.75 fof(f115,plain,(
% 48.20/6.75 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 48.20/6.75 inference(cnf_transformation,[status(esa)],[f114])).
% 48.20/6.75 fof(f118,plain,(
% 48.20/6.75 ![X0]: (subclass(X0,universal_class))),
% 48.20/6.75 inference(cnf_transformation,[status(esa)],[f4])).
% 48.20/6.75 fof(f119,plain,(
% 48.20/6.75 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 48.20/6.75 inference(cnf_transformation,[status(esa)],[f5])).
% 48.20/6.75 fof(f122,plain,(
% 48.20/6.75 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 48.20/6.75 inference(miniscoping,[status(esa)],[f8])).
% 48.20/6.75 fof(f123,plain,(
% 48.20/6.75 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 48.20/6.75 inference(cnf_transformation,[status(esa)],[f122])).
% 48.20/6.75 fof(f124,plain,(
% 48.20/6.75 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 48.20/6.75 inference(miniscoping,[status(esa)],[f9])).
% 48.20/6.75 fof(f125,plain,(
% 48.20/6.75 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 48.20/6.75 inference(cnf_transformation,[status(esa)],[f124])).
% 48.20/6.75 fof(f126,plain,(
% 48.20/6.75 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 48.20/6.75 inference(miniscoping,[status(esa)],[f10])).
% 48.20/6.75 fof(f127,plain,(
% 48.20/6.75 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 48.20/6.75 inference(cnf_transformation,[status(esa)],[f126])).
% 48.20/6.75 fof(f129,plain,(
% 48.20/6.75 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 48.20/6.75 inference(cnf_transformation,[status(esa)],[f12])).
% 48.20/6.75 fof(f131,plain,(
% 48.20/6.75 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 48.20/6.75 inference(miniscoping,[status(esa)],[f14])).
% 48.20/6.75 fof(f132,plain,(
% 48.20/6.75 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 48.20/6.75 inference(cnf_transformation,[status(esa)],[f131])).
% 48.20/6.76 fof(f141,plain,(
% 48.20/6.76 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 48.20/6.76 inference(miniscoping,[status(esa)],[f21])).
% 48.20/6.76 fof(f142,plain,(
% 48.20/6.76 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 48.20/6.76 inference(cnf_transformation,[status(esa)],[f141])).
% 48.20/6.76 fof(f143,plain,(
% 48.20/6.76 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 48.20/6.76 inference(miniscoping,[status(esa)],[f22])).
% 48.20/6.76 fof(f144,plain,(
% 48.20/6.76 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 48.20/6.76 inference(cnf_transformation,[status(esa)],[f143])).
% 48.20/6.76 fof(f145,plain,(
% 48.20/6.76 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 48.20/6.76 inference(cnf_transformation,[status(esa)],[f23])).
% 48.20/6.76 fof(f146,plain,(
% 48.20/6.76 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 48.20/6.76 inference(cnf_transformation,[status(esa)],[f24])).
% 48.20/6.76 fof(f188,plain,(
% 48.20/6.76 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 48.20/6.76 inference(cnf_transformation,[status(esa)],[f66])).
% 48.20/6.76 fof(f189,plain,(
% 48.20/6.76 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 48.20/6.76 inference(cnf_transformation,[status(esa)],[f67])).
% 48.20/6.76 fof(f245,plain,(
% 48.20/6.76 member(ordered_pair(universal_class,y),cross_product(universal_class,universal_class))),
% 48.20/6.76 inference(cnf_transformation,[status(esa)],[f113])).
% 48.20/6.76 fof(f246,plain,(
% 48.20/6.76 ![X0]: (subclass(X0,X0))),
% 48.20/6.76 inference(destructive_equality_resolution,[status(esa)],[f119])).
% 48.20/6.76 fof(f250,plain,(
% 48.20/6.76 member(universal_class,universal_class)),
% 48.20/6.76 inference(resolution,[status(thm)],[f132,f245])).
% 48.20/6.76 fof(f308,plain,(
% 48.20/6.76 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 48.20/6.76 inference(resolution,[status(thm)],[f146,f188])).
% 48.20/6.76 fof(f343,plain,(
% 48.20/6.76 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f189,f142])).
% 48.20/6.76 fof(f347,plain,(
% 48.20/6.76 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f129,f123])).
% 48.20/6.76 fof(f348,plain,(
% 48.20/6.76 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 48.20/6.76 inference(duplicate_literals_removal,[status(esa)],[f347])).
% 48.20/6.76 fof(f349,plain,(
% 48.20/6.76 ![X0]: (regular(singleton(X0))=X0|singleton(X0)=null_class)),
% 48.20/6.76 inference(resolution,[status(thm)],[f348,f188])).
% 48.20/6.76 fof(f406,plain,(
% 48.20/6.76 spl0_15 <=> universal_class=null_class),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f407,plain,(
% 48.20/6.76 universal_class=null_class|~spl0_15),
% 48.20/6.76 inference(component_clause,[status(thm)],[f406])).
% 48.20/6.76 fof(f408,plain,(
% 48.20/6.76 ~universal_class=null_class|spl0_15),
% 48.20/6.76 inference(component_clause,[status(thm)],[f406])).
% 48.20/6.76 fof(f416,plain,(
% 48.20/6.76 ![X0]: (member(universal_class,unordered_pair(X0,universal_class)))),
% 48.20/6.76 inference(resolution,[status(thm)],[f127,f250])).
% 48.20/6.76 fof(f426,plain,(
% 48.20/6.76 member(universal_class,singleton(universal_class))),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f129,f416])).
% 48.20/6.76 fof(f436,plain,(
% 48.20/6.76 spl0_20 <=> member(universal_class,null_class)),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f437,plain,(
% 48.20/6.76 member(universal_class,null_class)|~spl0_20),
% 48.20/6.76 inference(component_clause,[status(thm)],[f436])).
% 48.20/6.76 fof(f439,plain,(
% 48.20/6.76 spl0_21 <=> regular(singleton(universal_class))=universal_class),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f440,plain,(
% 48.20/6.76 regular(singleton(universal_class))=universal_class|~spl0_21),
% 48.20/6.76 inference(component_clause,[status(thm)],[f439])).
% 48.20/6.76 fof(f488,plain,(
% 48.20/6.76 ![X0]: (member(universal_class,unordered_pair(universal_class,X0)))),
% 48.20/6.76 inference(resolution,[status(thm)],[f125,f250])).
% 48.20/6.76 fof(f507,plain,(
% 48.20/6.76 ![X0,X1]: (~subclass(X0,X1)|member(regular(X0),X1)|X0=null_class)),
% 48.20/6.76 inference(resolution,[status(thm)],[f115,f188])).
% 48.20/6.76 fof(f523,plain,(
% 48.20/6.76 ![X0]: (~subclass(singleton(universal_class),X0)|member(universal_class,X0))),
% 48.20/6.76 inference(resolution,[status(thm)],[f115,f426])).
% 48.20/6.76 fof(f525,plain,(
% 48.20/6.76 ![X0,X1]: (~subclass(unordered_pair(X0,universal_class),X1)|member(universal_class,X1))),
% 48.20/6.76 inference(resolution,[status(thm)],[f115,f416])).
% 48.20/6.76 fof(f526,plain,(
% 48.20/6.76 ![X0]: (~subclass(universal_class,X0)|member(universal_class,X0))),
% 48.20/6.76 inference(resolution,[status(thm)],[f115,f250])).
% 48.20/6.76 fof(f539,plain,(
% 48.20/6.76 ![X0,X1,X2]: (~subclass(X0,universal_class)|~member(X1,X0)|member(X1,unordered_pair(X1,X2)))),
% 48.20/6.76 inference(resolution,[status(thm)],[f115,f125])).
% 48.20/6.76 fof(f540,plain,(
% 48.20/6.76 ![X0,X1,X2]: (~member(X0,X1)|member(X0,unordered_pair(X0,X2)))),
% 48.20/6.76 inference(forward_subsumption_resolution,[status(thm)],[f539,f118])).
% 48.20/6.76 fof(f561,plain,(
% 48.20/6.76 ![X0]: (~subclass(universal_class,complement(X0))|~member(universal_class,X0))),
% 48.20/6.76 inference(resolution,[status(thm)],[f526,f146])).
% 48.20/6.76 fof(f770,plain,(
% 48.20/6.76 ![X0,X1]: (~subclass(unordered_pair(X0,universal_class),complement(X1))|~member(universal_class,X1))),
% 48.20/6.76 inference(resolution,[status(thm)],[f525,f146])).
% 48.20/6.76 fof(f811,plain,(
% 48.20/6.76 ![X0]: (universal_class=X0|~subclass(singleton(universal_class),singleton(X0)))),
% 48.20/6.76 inference(resolution,[status(thm)],[f348,f523])).
% 48.20/6.76 fof(f1141,plain,(
% 48.20/6.76 spl0_55 <=> member(universal_class,universal_class)),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f1143,plain,(
% 48.20/6.76 ~member(universal_class,universal_class)|spl0_55),
% 48.20/6.76 inference(component_clause,[status(thm)],[f1141])).
% 48.20/6.76 fof(f1236,plain,(
% 48.20/6.76 spl0_74 <=> subclass(universal_class,universal_class)),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f1238,plain,(
% 48.20/6.76 ~subclass(universal_class,universal_class)|spl0_74),
% 48.20/6.76 inference(component_clause,[status(thm)],[f1236])).
% 48.20/6.76 fof(f1313,plain,(
% 48.20/6.76 spl0_80 <=> singleton(universal_class)=null_class),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f1314,plain,(
% 48.20/6.76 singleton(universal_class)=null_class|~spl0_80),
% 48.20/6.76 inference(component_clause,[status(thm)],[f1313])).
% 48.20/6.76 fof(f1327,plain,(
% 48.20/6.76 $false|spl0_74),
% 48.20/6.76 inference(forward_subsumption_resolution,[status(thm)],[f1238,f118])).
% 48.20/6.76 fof(f1328,plain,(
% 48.20/6.76 spl0_74),
% 48.20/6.76 inference(contradiction_clause,[status(thm)],[f1327])).
% 48.20/6.76 fof(f1368,plain,(
% 48.20/6.76 spl0_82 <=> ~member(universal_class,X0)),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f1369,plain,(
% 48.20/6.76 ![X0]: (~member(universal_class,X0)|~spl0_82)),
% 48.20/6.76 inference(component_clause,[status(thm)],[f1368])).
% 48.20/6.76 fof(f1383,plain,(
% 48.20/6.76 ![X0,X1]: (~member(X0,X1)|member(X0,singleton(X0)))),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f129,f540])).
% 48.20/6.76 fof(f1396,plain,(
% 48.20/6.76 member(universal_class,singleton(universal_class))),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f129,f416])).
% 48.20/6.76 fof(f1411,plain,(
% 48.20/6.76 ![X0]: (~member(universal_class,X0)|member(universal_class,null_class)|~spl0_80)),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f1314,f1383])).
% 48.20/6.76 fof(f1412,plain,(
% 48.20/6.76 spl0_82|spl0_20|~spl0_80),
% 48.20/6.76 inference(split_clause,[status(thm)],[f1411,f1368,f436,f1313])).
% 48.20/6.76 fof(f1418,plain,(
% 48.20/6.76 spl0_86 <=> subclass(universal_class,null_class)),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f1420,plain,(
% 48.20/6.76 ~subclass(universal_class,null_class)|spl0_86),
% 48.20/6.76 inference(component_clause,[status(thm)],[f1418])).
% 48.20/6.76 fof(f1438,plain,(
% 48.20/6.76 spl0_90 <=> ~subclass(unordered_pair(X0,universal_class),null_class)),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f1439,plain,(
% 48.20/6.76 ![X0]: (~subclass(unordered_pair(X0,universal_class),null_class)|~spl0_90)),
% 48.20/6.76 inference(component_clause,[status(thm)],[f1438])).
% 48.20/6.76 fof(f1772,plain,(
% 48.20/6.76 $false|~spl0_82),
% 48.20/6.76 inference(backward_subsumption_resolution,[status(thm)],[f488,f1369])).
% 48.20/6.76 fof(f1773,plain,(
% 48.20/6.76 ~spl0_82),
% 48.20/6.76 inference(contradiction_clause,[status(thm)],[f1772])).
% 48.20/6.76 fof(f2160,plain,(
% 48.20/6.76 spl0_113 <=> subclass(singleton(universal_class),null_class)),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f2162,plain,(
% 48.20/6.76 ~subclass(singleton(universal_class),null_class)|spl0_113),
% 48.20/6.76 inference(component_clause,[status(thm)],[f2160])).
% 48.20/6.76 fof(f2483,plain,(
% 48.20/6.76 spl0_117 <=> universal_class=X0|singleton(X0)=null_class),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f2484,plain,(
% 48.20/6.76 ![X0]: (universal_class=X0|singleton(X0)=null_class|~spl0_117)),
% 48.20/6.76 inference(component_clause,[status(thm)],[f2483])).
% 48.20/6.76 fof(f2505,plain,(
% 48.20/6.76 spl0_121 <=> complement(universal_class)=null_class),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f2506,plain,(
% 48.20/6.76 complement(universal_class)=null_class|~spl0_121),
% 48.20/6.76 inference(component_clause,[status(thm)],[f2505])).
% 48.20/6.76 fof(f2515,plain,(
% 48.20/6.76 spl0_123 <=> member(universal_class,X0)|X0=null_class),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f2516,plain,(
% 48.20/6.76 ![X0]: (member(universal_class,X0)|X0=null_class|~spl0_123)),
% 48.20/6.76 inference(component_clause,[status(thm)],[f2515])).
% 48.20/6.76 fof(f2589,plain,(
% 48.20/6.76 spl0_129 <=> subclass(null_class,null_class)),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f2591,plain,(
% 48.20/6.76 ~subclass(null_class,null_class)|spl0_129),
% 48.20/6.76 inference(component_clause,[status(thm)],[f2589])).
% 48.20/6.76 fof(f2647,plain,(
% 48.20/6.76 $false|spl0_129),
% 48.20/6.76 inference(forward_subsumption_resolution,[status(thm)],[f2591,f246])).
% 48.20/6.76 fof(f2648,plain,(
% 48.20/6.76 spl0_129),
% 48.20/6.76 inference(contradiction_clause,[status(thm)],[f2647])).
% 48.20/6.76 fof(f2840,plain,(
% 48.20/6.76 ![X0]: (~subclass(unordered_pair(X0,universal_class),null_class)|~member(universal_class,universal_class)|~spl0_121)),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f2506,f770])).
% 48.20/6.76 fof(f2841,plain,(
% 48.20/6.76 spl0_90|~spl0_55|~spl0_121),
% 48.20/6.76 inference(split_clause,[status(thm)],[f2840,f1438,f1141,f2505])).
% 48.20/6.76 fof(f2851,plain,(
% 48.20/6.76 $false|spl0_55),
% 48.20/6.76 inference(forward_subsumption_resolution,[status(thm)],[f1143,f250])).
% 48.20/6.76 fof(f2852,plain,(
% 48.20/6.76 spl0_55),
% 48.20/6.76 inference(contradiction_clause,[status(thm)],[f2851])).
% 48.20/6.76 fof(f2862,plain,(
% 48.20/6.76 ~subclass(singleton(universal_class),null_class)|~spl0_90),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f129,f1439])).
% 48.20/6.76 fof(f2922,plain,(
% 48.20/6.76 spl0_140 <=> universal_class=X0|universal_class=X0),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f2923,plain,(
% 48.20/6.76 ![X0]: (universal_class=X0|universal_class=X0|~spl0_140)),
% 48.20/6.76 inference(component_clause,[status(thm)],[f2922])).
% 48.20/6.76 fof(f2942,plain,(
% 48.20/6.76 ![X0]: (universal_class=X0|~subclass(singleton(universal_class),null_class)|universal_class=X0|~spl0_117)),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f2484,f811])).
% 48.20/6.76 fof(f2943,plain,(
% 48.20/6.76 spl0_140|~spl0_113|~spl0_117),
% 48.20/6.76 inference(split_clause,[status(thm)],[f2942,f2922,f2160,f2483])).
% 48.20/6.76 fof(f2956,plain,(
% 48.20/6.76 ![X0]: (universal_class=X0|~spl0_140)),
% 48.20/6.76 inference(duplicate_literals_removal,[status(esa)],[f2923])).
% 48.20/6.76 fof(f2987,plain,(
% 48.20/6.76 $false|~spl0_140|spl0_15),
% 48.20/6.76 inference(backward_subsumption_resolution,[status(thm)],[f408,f2956])).
% 48.20/6.76 fof(f2988,plain,(
% 48.20/6.76 ~spl0_140|spl0_15),
% 48.20/6.76 inference(contradiction_clause,[status(thm)],[f2987])).
% 48.20/6.76 fof(f3134,plain,(
% 48.20/6.76 ~subclass(null_class,null_class)|~spl0_80|spl0_113),
% 48.20/6.76 inference(forward_demodulation,[status(thm)],[f1314,f2162])).
% 48.20/6.76 fof(f3135,plain,(
% 48.20/6.76 $false|~spl0_80|spl0_113),
% 48.20/6.76 inference(forward_subsumption_resolution,[status(thm)],[f3134,f246])).
% 48.20/6.76 fof(f3136,plain,(
% 48.20/6.76 ~spl0_80|spl0_113),
% 48.20/6.76 inference(contradiction_clause,[status(thm)],[f3135])).
% 48.20/6.76 fof(f3337,plain,(
% 48.20/6.76 ![X0,X1,X2]: (~subclass(singleton(X0),X1)|member(X0,X1)|~member(X0,X2))),
% 48.20/6.76 inference(resolution,[status(thm)],[f115,f1383])).
% 48.20/6.76 fof(f3753,plain,(
% 48.20/6.76 ![X0]: (singleton(X0)=null_class|universal_class=X0|~spl0_123)),
% 48.20/6.76 inference(resolution,[status(thm)],[f2516,f348])).
% 48.20/6.76 fof(f3754,plain,(
% 48.20/6.76 spl0_117|~spl0_123),
% 48.20/6.76 inference(split_clause,[status(thm)],[f3753,f2483,f2515])).
% 48.20/6.76 fof(f4151,plain,(
% 48.20/6.76 spl0_159 <=> intersection(singleton(universal_class),universal_class)=null_class),
% 48.20/6.76 introduced(split_symbol_definition)).
% 48.20/6.76 fof(f4152,plain,(
% 48.20/6.76 intersection(singleton(universal_class),universal_class)=null_class|~spl0_159),
% 48.20/6.76 inference(component_clause,[status(thm)],[f4151])).
% 48.20/6.76 fof(f4154,plain,(
% 48.20/6.76 singleton(universal_class)=null_class|intersection(singleton(universal_class),universal_class)=null_class|~spl0_21),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f440,f189])).
% 48.20/6.76 fof(f4155,plain,(
% 48.20/6.76 spl0_80|spl0_159|~spl0_21),
% 48.20/6.76 inference(split_clause,[status(thm)],[f4154,f1313,f4151,f439])).
% 48.20/6.76 fof(f5067,plain,(
% 48.20/6.76 ![X0]: (~member(X0,singleton(universal_class))|~member(X0,universal_class)|member(X0,null_class)|~spl0_159)),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f4152,f145])).
% 48.20/6.76 fof(f5069,plain,(
% 48.20/6.76 ![X0]: (~member(X0,null_class)|member(X0,universal_class)|~spl0_159)),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f4152,f144])).
% 48.20/6.76 fof(f5942,plain,(
% 48.20/6.76 ~subclass(null_class,null_class)|regular(singleton(universal_class))=universal_class|~spl0_90),
% 48.20/6.76 inference(paramodulation,[status(thm)],[f349,f2862])).
% 48.20/6.76 fof(f5943,plain,(
% 48.20/6.76 ~spl0_129|spl0_21|~spl0_90),
% 48.20/6.76 inference(split_clause,[status(thm)],[f5942,f2589,f439,f1438])).
% 48.20/6.76 fof(f12254,plain,(
% 48.20/6.76 ~subclass(universal_class,universal_class)|~spl0_15|spl0_86),
% 48.20/6.76 inference(backward_demodulation,[status(thm)],[f407,f1420])).
% 48.20/6.76 fof(f12255,plain,(
% 48.20/6.76 ~spl0_74|~spl0_15|spl0_86),
% 48.20/6.76 inference(split_clause,[status(thm)],[f12254,f1236,f406,f1418])).
% 48.20/6.79 fof(f12718,plain,(
% 48.20/6.79 ![X0]: (member(universal_class,X0)|X0=null_class|~spl0_20)),
% 48.20/6.79 inference(resolution,[status(thm)],[f437,f343])).
% 48.20/6.79 fof(f12719,plain,(
% 48.20/6.79 spl0_123|~spl0_20),
% 48.20/6.79 inference(split_clause,[status(thm)],[f12718,f2515,f436])).
% 48.20/6.79 fof(f16414,plain,(
% 48.20/6.79 ![X0]: (complement(X0)=null_class|~subclass(complement(X0),X0)|complement(X0)=null_class)),
% 48.20/6.79 inference(resolution,[status(thm)],[f308,f507])).
% 48.20/6.79 fof(f16415,plain,(
% 48.20/6.79 ![X0]: (complement(X0)=null_class|~subclass(complement(X0),X0))),
% 48.20/6.79 inference(duplicate_literals_removal,[status(esa)],[f16414])).
% 48.20/6.79 fof(f16429,plain,(
% 48.20/6.79 complement(universal_class)=null_class),
% 48.20/6.79 inference(resolution,[status(thm)],[f16415,f118])).
% 48.20/6.79 fof(f17359,plain,(
% 48.20/6.79 spl0_552 <=> subclass(null_class,universal_class)),
% 48.20/6.79 introduced(split_symbol_definition)).
% 48.20/6.79 fof(f17361,plain,(
% 48.20/6.79 ~subclass(null_class,universal_class)|spl0_552),
% 48.20/6.79 inference(component_clause,[status(thm)],[f17359])).
% 48.20/6.79 fof(f17362,plain,(
% 48.20/6.79 complement(universal_class)=null_class|~subclass(null_class,universal_class)),
% 48.20/6.79 inference(paramodulation,[status(thm)],[f16429,f16415])).
% 48.20/6.79 fof(f17363,plain,(
% 48.20/6.79 spl0_121|~spl0_552),
% 48.20/6.79 inference(split_clause,[status(thm)],[f17362,f2505,f17359])).
% 48.20/6.79 fof(f17369,plain,(
% 48.20/6.79 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 48.20/6.79 inference(paramodulation,[status(thm)],[f16429,f146])).
% 48.20/6.79 fof(f17370,plain,(
% 48.20/6.79 ![X0]: (~member(X0,null_class)|~spl0_159)),
% 48.20/6.79 inference(forward_subsumption_resolution,[status(thm)],[f17369,f5069])).
% 48.20/6.79 fof(f17375,plain,(
% 48.20/6.79 ![X0]: (~member(X0,singleton(universal_class))|~member(X0,universal_class)|~spl0_159)),
% 48.20/6.79 inference(backward_subsumption_resolution,[status(thm)],[f5067,f17370])).
% 48.20/6.79 fof(f17378,plain,(
% 48.20/6.79 $false|spl0_552),
% 48.20/6.79 inference(forward_subsumption_resolution,[status(thm)],[f17361,f118])).
% 48.20/6.79 fof(f17379,plain,(
% 48.20/6.79 spl0_552),
% 48.20/6.79 inference(contradiction_clause,[status(thm)],[f17378])).
% 48.20/6.79 fof(f17523,plain,(
% 48.20/6.79 ~subclass(universal_class,null_class)|~member(universal_class,universal_class)),
% 48.20/6.79 inference(paramodulation,[status(thm)],[f16429,f561])).
% 48.20/6.79 fof(f17524,plain,(
% 48.20/6.79 ~spl0_86|~spl0_55),
% 48.20/6.79 inference(split_clause,[status(thm)],[f17523,f1418,f1141])).
% 48.20/6.79 fof(f19168,plain,(
% 48.20/6.79 ![X0,X1]: (member(X0,universal_class)|~member(X0,X1))),
% 48.20/6.79 inference(resolution,[status(thm)],[f3337,f118])).
% 48.20/6.79 fof(f19172,plain,(
% 48.20/6.79 ![X0]: (~member(X0,singleton(universal_class))|~spl0_159)),
% 48.20/6.79 inference(backward_subsumption_resolution,[status(thm)],[f17375,f19168])).
% 48.20/6.79 fof(f19176,plain,(
% 48.20/6.79 $false|~spl0_159),
% 48.20/6.79 inference(backward_subsumption_resolution,[status(thm)],[f1396,f19172])).
% 48.20/6.79 fof(f19177,plain,(
% 48.20/6.79 ~spl0_159),
% 48.20/6.79 inference(contradiction_clause,[status(thm)],[f19176])).
% 48.20/6.79 fof(f19178,plain,(
% 48.20/6.79 $false),
% 48.20/6.79 inference(sat_refutation,[status(thm)],[f1328,f1412,f1773,f2648,f2841,f2852,f2943,f2988,f3136,f3754,f4155,f5943,f12255,f12719,f17363,f17379,f17524,f19177])).
% 48.20/6.79 % SZS output end CNFRefutation for theBenchmark.p
% 48.66/6.84 % Elapsed time: 6.564489 seconds
% 48.66/6.84 % CPU time: 48.744080 seconds
% 48.66/6.84 % Memory used: 395.727 MB
%------------------------------------------------------------------------------