TSTP Solution File: SET205-6 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET205-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Wed May 31 12:34:16 EDT 2023
% Result : Unsatisfiable 75.98s 9.96s
% Output : CNFRefutation 76.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET205-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:10:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 75.98/9.96 % Refutation found
% 75.98/9.96 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 75.98/9.96 % SZS output start CNFRefutation for theBenchmark
% 75.98/9.96 fof(f1,axiom,(
% 75.98/9.96 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f2,axiom,(
% 75.98/9.96 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f3,axiom,(
% 75.98/9.96 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f4,axiom,(
% 75.98/9.96 (![X]: (subclass(X,universal_class) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f7,axiom,(
% 75.98/9.96 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f15,axiom,(
% 75.98/9.96 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f16,axiom,(
% 75.98/9.96 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f17,axiom,(
% 75.98/9.96 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f21,axiom,(
% 75.98/9.96 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f22,axiom,(
% 75.98/9.96 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f24,axiom,(
% 75.98/9.96 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f25,axiom,(
% 75.98/9.96 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f47,axiom,(
% 75.98/9.96 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f50,axiom,(
% 75.98/9.96 inductive(omega) ),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f66,axiom,(
% 75.98/9.96 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f67,axiom,(
% 75.98/9.96 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f113,negated_conjecture,(
% 75.98/9.96 cross_product(x,null_class) != null_class ),
% 75.98/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.98/9.96 fof(f114,plain,(
% 75.98/9.96 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 75.98/9.96 inference(miniscoping,[status(esa)],[f1])).
% 75.98/9.96 fof(f115,plain,(
% 75.98/9.96 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 75.98/9.96 inference(cnf_transformation,[status(esa)],[f114])).
% 75.98/9.96 fof(f116,plain,(
% 75.98/9.96 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 75.98/9.96 inference(cnf_transformation,[status(esa)],[f2])).
% 75.98/9.96 fof(f117,plain,(
% 75.98/9.96 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 75.98/9.96 inference(cnf_transformation,[status(esa)],[f3])).
% 75.98/9.96 fof(f118,plain,(
% 75.98/9.96 ![X0]: (subclass(X0,universal_class))),
% 75.98/9.96 inference(cnf_transformation,[status(esa)],[f4])).
% 75.98/9.96 fof(f121,plain,(
% 75.98/9.96 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 75.98/9.96 inference(cnf_transformation,[status(esa)],[f7])).
% 75.98/9.96 fof(f133,plain,(
% 75.98/9.96 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 75.98/9.96 inference(miniscoping,[status(esa)],[f15])).
% 75.98/9.96 fof(f134,plain,(
% 75.98/9.96 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 75.98/9.96 inference(cnf_transformation,[status(esa)],[f133])).
% 75.98/9.96 fof(f135,plain,(
% 75.98/9.96 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 75.98/9.96 inference(cnf_transformation,[status(esa)],[f16])).
% 75.98/9.96 fof(f136,plain,(
% 75.98/9.96 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 75.98/9.96 inference(miniscoping,[status(esa)],[f17])).
% 75.98/9.96 fof(f137,plain,(
% 75.98/9.96 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f136])).
% 75.98/9.97 fof(f141,plain,(
% 75.98/9.97 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 75.98/9.97 inference(miniscoping,[status(esa)],[f21])).
% 75.98/9.97 fof(f142,plain,(
% 75.98/9.97 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f141])).
% 75.98/9.97 fof(f143,plain,(
% 75.98/9.97 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 75.98/9.97 inference(miniscoping,[status(esa)],[f22])).
% 75.98/9.97 fof(f144,plain,(
% 75.98/9.97 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f143])).
% 75.98/9.97 fof(f146,plain,(
% 75.98/9.97 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f24])).
% 75.98/9.97 fof(f147,plain,(
% 75.98/9.97 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f25])).
% 75.98/9.97 fof(f169,plain,(
% 75.98/9.97 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f47])).
% 75.98/9.97 fof(f172,plain,(
% 75.98/9.97 inductive(omega)),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f50])).
% 75.98/9.97 fof(f188,plain,(
% 75.98/9.97 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f66])).
% 75.98/9.97 fof(f189,plain,(
% 75.98/9.97 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f67])).
% 75.98/9.97 fof(f245,plain,(
% 75.98/9.97 ~cross_product(x,null_class)=null_class),
% 75.98/9.97 inference(cnf_transformation,[status(esa)],[f113])).
% 75.98/9.97 fof(f283,plain,(
% 75.98/9.97 member(null_class,omega)),
% 75.98/9.97 inference(resolution,[status(thm)],[f169,f172])).
% 75.98/9.97 fof(f286,plain,(
% 75.98/9.97 ![X0]: (~subclass(omega,X0)|member(null_class,X0))),
% 75.98/9.97 inference(resolution,[status(thm)],[f283,f115])).
% 75.98/9.97 fof(f290,plain,(
% 75.98/9.97 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 75.98/9.97 inference(resolution,[status(thm)],[f116,f115])).
% 75.98/9.97 fof(f291,plain,(
% 75.98/9.97 ![X0,X1,X2,X3]: (subclass(X0,X1)|~member(X2,X3)|member(ordered_pair(X2,not_subclass_element(X0,X1)),cross_product(X3,X0)))),
% 75.98/9.97 inference(resolution,[status(thm)],[f116,f135])).
% 75.98/9.97 fof(f315,plain,(
% 75.98/9.97 spl0_0 <=> ~member(X0,X1)),
% 75.98/9.97 introduced(split_symbol_definition)).
% 75.98/9.97 fof(f316,plain,(
% 75.98/9.97 ![X0,X1]: (~member(X0,X1)|~spl0_0)),
% 75.98/9.97 inference(component_clause,[status(thm)],[f315])).
% 75.98/9.97 fof(f331,plain,(
% 75.98/9.97 $false|~spl0_0),
% 75.98/9.97 inference(backward_subsumption_resolution,[status(thm)],[f283,f316])).
% 75.98/9.97 fof(f332,plain,(
% 75.98/9.97 ~spl0_0),
% 75.98/9.97 inference(contradiction_clause,[status(thm)],[f331])).
% 75.98/9.97 fof(f382,plain,(
% 75.98/9.97 spl0_7 <=> subclass(X0,X1)|member(not_subclass_element(X0,X1),X0)),
% 75.98/9.97 introduced(split_symbol_definition)).
% 75.98/9.97 fof(f383,plain,(
% 75.98/9.97 ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),X0)|~spl0_7)),
% 75.98/9.97 inference(component_clause,[status(thm)],[f382])).
% 75.98/9.97 fof(f385,plain,(
% 75.98/9.97 ![X0,X1,X2,X3]: (subclass(X0,X1)|~member(X2,X3)|member(not_subclass_element(X0,X1),X0))),
% 75.98/9.97 inference(resolution,[status(thm)],[f291,f134])).
% 75.98/9.97 fof(f386,plain,(
% 75.98/9.97 spl0_7|spl0_0),
% 75.98/9.97 inference(split_clause,[status(thm)],[f385,f382,f315])).
% 75.98/9.97 fof(f437,plain,(
% 75.98/9.97 ![X0,X1]: (~member(not_subclass_element(complement(X0),X1),X0)|subclass(complement(X0),X1)|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f146,f383])).
% 75.98/9.97 fof(f798,plain,(
% 75.98/9.97 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2)|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f142,f383])).
% 75.98/9.97 fof(f808,plain,(
% 75.98/9.97 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2)|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f144,f383])).
% 75.98/9.97 fof(f941,plain,(
% 75.98/9.97 ![X0,X1]: (ordered_pair(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))=regular(cross_product(X0,X1))|cross_product(X0,X1)=null_class)),
% 75.98/9.97 inference(resolution,[status(thm)],[f137,f188])).
% 75.98/9.97 fof(f1046,plain,(
% 75.98/9.97 ![X0,X1]: (member(not_subclass_element(null_class,X0),X1)|subclass(intersection(X1,regular(X1)),X0)|X1=null_class|~spl0_7)),
% 75.98/9.97 inference(paramodulation,[status(thm)],[f189,f798])).
% 75.98/9.97 fof(f1066,plain,(
% 75.98/9.97 ![X0,X1]: (member(not_subclass_element(null_class,X0),X1)|subclass(null_class,X0)|X1=null_class|X1=null_class|~spl0_7)),
% 75.98/9.97 inference(paramodulation,[status(thm)],[f189,f1046])).
% 75.98/9.97 fof(f1067,plain,(
% 75.98/9.97 ![X0,X1]: (member(not_subclass_element(null_class,X0),X1)|subclass(null_class,X0)|X1=null_class|~spl0_7)),
% 75.98/9.97 inference(duplicate_literals_removal,[status(esa)],[f1066])).
% 75.98/9.97 fof(f1080,plain,(
% 75.98/9.97 ![X0,X1]: (subclass(null_class,X0)|complement(X1)=null_class|~member(not_subclass_element(null_class,X0),X1)|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f1067,f146])).
% 75.98/9.97 fof(f1084,plain,(
% 75.98/9.97 spl0_45 <=> subclass(null_class,X0)|subclass(null_class,X0)),
% 75.98/9.97 introduced(split_symbol_definition)).
% 75.98/9.97 fof(f1085,plain,(
% 75.98/9.97 ![X0]: (subclass(null_class,X0)|subclass(null_class,X0)|~spl0_45)),
% 75.98/9.97 inference(component_clause,[status(thm)],[f1084])).
% 75.98/9.97 fof(f1092,plain,(
% 75.98/9.97 spl0_47 <=> complement(null_class)=null_class),
% 75.98/9.97 introduced(split_symbol_definition)).
% 75.98/9.97 fof(f1093,plain,(
% 75.98/9.97 complement(null_class)=null_class|~spl0_47),
% 75.98/9.97 inference(component_clause,[status(thm)],[f1092])).
% 75.98/9.97 fof(f1095,plain,(
% 75.98/9.97 ![X0]: (subclass(null_class,X0)|complement(null_class)=null_class|subclass(null_class,X0)|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f1080,f383])).
% 75.98/9.97 fof(f1096,plain,(
% 75.98/9.97 spl0_45|spl0_47|~spl0_7),
% 75.98/9.97 inference(split_clause,[status(thm)],[f1095,f1084,f1092,f382])).
% 75.98/9.97 fof(f1112,plain,(
% 75.98/9.97 ![X0]: (subclass(null_class,X0)|~spl0_45)),
% 75.98/9.97 inference(duplicate_literals_removal,[status(esa)],[f1085])).
% 75.98/9.97 fof(f1115,plain,(
% 75.98/9.97 ![X0]: (~subclass(X0,null_class)|X0=null_class|~spl0_45)),
% 75.98/9.97 inference(resolution,[status(thm)],[f1112,f121])).
% 75.98/9.97 fof(f1602,plain,(
% 75.98/9.97 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1)|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f117,f808])).
% 75.98/9.97 fof(f1603,plain,(
% 75.98/9.97 ![X0,X1]: (subclass(intersection(X0,X1),X1)|~spl0_7)),
% 75.98/9.97 inference(duplicate_literals_removal,[status(esa)],[f1602])).
% 75.98/9.97 fof(f1604,plain,(
% 75.98/9.97 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0)|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f117,f798])).
% 75.98/9.97 fof(f1605,plain,(
% 75.98/9.97 ![X0,X1]: (subclass(intersection(X0,X1),X0)|~spl0_7)),
% 75.98/9.97 inference(duplicate_literals_removal,[status(esa)],[f1604])).
% 75.98/9.97 fof(f2025,plain,(
% 75.98/9.97 ![X0]: (intersection(X0,null_class)=null_class|~spl0_45|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f1115,f1603])).
% 75.98/9.97 fof(f2234,plain,(
% 75.98/9.97 ![X0]: (~member(X0,null_class)|~member(X0,null_class)|~spl0_47)),
% 75.98/9.97 inference(paramodulation,[status(thm)],[f1093,f146])).
% 75.98/9.97 fof(f2235,plain,(
% 75.98/9.97 ![X0]: (~member(X0,null_class)|~spl0_47)),
% 75.98/9.97 inference(duplicate_literals_removal,[status(esa)],[f2234])).
% 75.98/9.97 fof(f2380,plain,(
% 75.98/9.97 ![X0,X1]: (~subclass(X0,intersection(X0,X1))|X0=intersection(X0,X1)|~spl0_7)),
% 75.98/9.97 inference(resolution,[status(thm)],[f121,f1605])).
% 75.98/9.97 fof(f2468,plain,(
% 75.98/9.97 member(null_class,universal_class)),
% 75.98/9.97 inference(resolution,[status(thm)],[f286,f118])).
% 75.98/9.97 fof(f4389,plain,(
% 75.98/9.97 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 75.98/9.97 inference(resolution,[status(thm)],[f115,f118])).
% 75.98/9.97 fof(f5618,plain,(
% 75.98/9.97 spl0_224 <=> complement(universal_class)=null_class),
% 75.98/9.97 introduced(split_symbol_definition)).
% 75.98/9.97 fof(f5619,plain,(
% 75.98/9.97 complement(universal_class)=null_class|~spl0_224),
% 75.98/9.97 inference(component_clause,[status(thm)],[f5618])).
% 75.98/9.97 fof(f6002,plain,(
% 75.98/9.97 ![X0]: (~member(X0,null_class)|~member(X0,universal_class)|~spl0_224)),
% 75.98/9.97 inference(paramodulation,[status(thm)],[f5619,f146])).
% 75.98/9.97 fof(f6003,plain,(
% 75.98/9.97 ![X0]: (~member(X0,null_class)|~spl0_224)),
% 75.98/9.97 inference(forward_subsumption_resolution,[status(thm)],[f6002,f4389])).
% 75.98/9.97 fof(f10713,plain,(
% 75.98/9.97 ![X0]: (~subclass(X0,null_class)|X0=intersection(X0,null_class)|~spl0_45|~spl0_7)),
% 75.98/9.97 inference(paramodulation,[status(thm)],[f2025,f2380])).
% 75.98/9.97 fof(f10714,plain,(
% 75.98/9.97 ![X0]: (~subclass(X0,null_class)|X0=null_class|~spl0_45|~spl0_7)),
% 75.98/9.97 inference(forward_demodulation,[status(thm)],[f2025,f10713])).
% 75.98/9.97 fof(f19074,plain,(
% 75.98/9.97 ![X0]: (~member(X0,universal_class)|member(X0,null_class)|member(X0,null_class)|~spl0_47)),
% 75.98/9.97 inference(paramodulation,[status(thm)],[f1093,f147])).
% 75.98/9.97 fof(f19075,plain,(
% 75.98/9.97 ![X0]: (~member(X0,universal_class)|member(X0,null_class)|~spl0_47)),
% 75.98/9.97 inference(duplicate_literals_removal,[status(esa)],[f19074])).
% 75.98/9.97 fof(f19076,plain,(
% 75.98/9.97 ![X0]: (~member(X0,universal_class)|~spl0_47)),
% 76.41/10.03 inference(forward_subsumption_resolution,[status(thm)],[f19075,f2235])).
% 76.41/10.03 fof(f19086,plain,(
% 76.41/10.03 $false|~spl0_47),
% 76.41/10.03 inference(backward_subsumption_resolution,[status(thm)],[f2468,f19076])).
% 76.41/10.03 fof(f19087,plain,(
% 76.41/10.03 ~spl0_47),
% 76.41/10.03 inference(contradiction_clause,[status(thm)],[f19086])).
% 76.41/10.03 fof(f30285,plain,(
% 76.41/10.03 ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),universal_class))),
% 76.41/10.03 inference(resolution,[status(thm)],[f290,f118])).
% 76.41/10.03 fof(f31238,plain,(
% 76.41/10.03 ![X0]: (subclass(complement(universal_class),X0)|subclass(complement(universal_class),X0)|~spl0_7)),
% 76.41/10.03 inference(resolution,[status(thm)],[f30285,f437])).
% 76.41/10.03 fof(f31239,plain,(
% 76.41/10.03 ![X0]: (subclass(complement(universal_class),X0)|~spl0_7)),
% 76.41/10.03 inference(duplicate_literals_removal,[status(esa)],[f31238])).
% 76.41/10.03 fof(f34878,plain,(
% 76.41/10.03 ![X0,X1,X2,X3]: (~member(regular(cross_product(X0,X1)),cross_product(X2,X3))|member(second(regular(cross_product(X0,X1))),X3)|cross_product(X0,X1)=null_class)),
% 76.41/10.03 inference(paramodulation,[status(thm)],[f941,f134])).
% 76.41/10.03 fof(f45399,plain,(
% 76.41/10.03 complement(universal_class)=null_class|~spl0_45|~spl0_7),
% 76.41/10.03 inference(resolution,[status(thm)],[f10714,f31239])).
% 76.41/10.03 fof(f45400,plain,(
% 76.41/10.03 spl0_224|~spl0_45|~spl0_7),
% 76.41/10.03 inference(split_clause,[status(thm)],[f45399,f5618,f1084,f382])).
% 76.41/10.03 fof(f49305,plain,(
% 76.41/10.03 ![X0,X1]: (member(second(regular(cross_product(X0,X1))),X1)|cross_product(X0,X1)=null_class|cross_product(X0,X1)=null_class)),
% 76.41/10.03 inference(resolution,[status(thm)],[f34878,f188])).
% 76.41/10.03 fof(f49306,plain,(
% 76.41/10.03 ![X0,X1]: (member(second(regular(cross_product(X0,X1))),X1)|cross_product(X0,X1)=null_class)),
% 76.41/10.03 inference(duplicate_literals_removal,[status(esa)],[f49305])).
% 76.41/10.03 fof(f50858,plain,(
% 76.41/10.03 ![X0]: (cross_product(X0,null_class)=null_class|~spl0_224)),
% 76.41/10.03 inference(resolution,[status(thm)],[f49306,f6003])).
% 76.41/10.03 fof(f51143,plain,(
% 76.41/10.03 ~null_class=null_class|~spl0_224),
% 76.41/10.03 inference(backward_demodulation,[status(thm)],[f50858,f245])).
% 76.41/10.03 fof(f51144,plain,(
% 76.41/10.03 $false|~spl0_224),
% 76.41/10.03 inference(trivial_equality_resolution,[status(esa)],[f51143])).
% 76.41/10.03 fof(f51145,plain,(
% 76.41/10.03 ~spl0_224),
% 76.41/10.03 inference(contradiction_clause,[status(thm)],[f51144])).
% 76.41/10.03 fof(f51146,plain,(
% 76.41/10.03 $false),
% 76.41/10.03 inference(sat_refutation,[status(thm)],[f332,f386,f1096,f19087,f45400,f51145])).
% 76.41/10.03 % SZS output end CNFRefutation for theBenchmark.p
% 78.55/11.21 % Elapsed time: 10.645279 seconds
% 78.55/11.21 % CPU time: 74.942067 seconds
% 78.55/11.21 % Memory used: 396.326 MB
%------------------------------------------------------------------------------