TSTP Solution File: SET114-7 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:34:02 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n027.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:32:18 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f16,axiom,(
% 0.15/0.32 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f95,axiom,(
% 0.15/0.32 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,universal_class) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f145,axiom,(
% 0.15/0.32 (![X,Y]: (member(ordered_pair(X,Y),universal_class) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f154,axiom,(
% 0.15/0.32 (![X]: (( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))| first(X) = X ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f155,axiom,(
% 0.15/0.32 (![X]: (( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))| second(X) = X ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f157,axiom,(
% 0.15/0.32 (![X]: (( ordered_pair(first(X),second(X)) = X| second(X) = X ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f160,negated_conjecture,(
% 0.15/0.32 ~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f161,negated_conjecture,(
% 0.15/0.32 second(x) != x ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f183,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.32 fof(f273,plain,(
% 0.15/0.32 ![V]: ((![U,X,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,universal_class))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f95])).
% 0.15/0.32 fof(f274,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,universal_class))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f273])).
% 0.15/0.32 fof(f334,plain,(
% 0.15/0.32 ![X0,X1]: (member(ordered_pair(X0,X1),universal_class))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f145])).
% 0.15/0.32 fof(f348,plain,(
% 0.15/0.32 ![X0]: (member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))|first(X0)=X0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f154])).
% 0.15/0.32 fof(f349,plain,(
% 0.15/0.32 ![X0]: (member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))|second(X0)=X0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f155])).
% 0.15/0.32 fof(f351,plain,(
% 0.15/0.32 ![X0]: (ordered_pair(first(X0),second(X0))=X0|second(X0)=X0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f157])).
% 0.15/0.32 fof(f354,plain,(
% 0.15/0.32 ~member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f160])).
% 0.15/0.32 fof(f355,plain,(
% 0.15/0.32 ~second(x)=x),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f161])).
% 0.15/0.32 fof(f368,plain,(
% 0.15/0.32 spl0_2 <=> member(ordered_pair(x,second(x)),cross_product(universal_class,universal_class))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f369,plain,(
% 0.15/0.32 member(ordered_pair(x,second(x)),cross_product(universal_class,universal_class))|~spl0_2),
% 0.15/0.32 inference(component_clause,[status(thm)],[f368])).
% 0.15/0.32 fof(f379,plain,(
% 0.15/0.32 spl0_4 <=> second(x)=x),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f380,plain,(
% 0.15/0.32 second(x)=x|~spl0_4),
% 0.15/0.32 inference(component_clause,[status(thm)],[f379])).
% 0.15/0.32 fof(f385,plain,(
% 0.15/0.32 ![X0]: (member(X0,universal_class)|second(X0)=X0)),
% 0.15/0.32 inference(paramodulation,[status(thm)],[f351,f334])).
% 0.15/0.32 fof(f386,plain,(
% 0.15/0.32 member(x,universal_class)),
% 0.15/0.32 inference(resolution,[status(thm)],[f385,f355])).
% 0.15/0.32 fof(f439,plain,(
% 0.15/0.32 spl0_7 <=> member(first(x),universal_class)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f441,plain,(
% 0.15/0.32 ~member(first(x),universal_class)|spl0_7),
% 0.15/0.32 inference(component_clause,[status(thm)],[f439])).
% 0.15/0.32 fof(f442,plain,(
% 0.15/0.32 spl0_8 <=> member(second(x),universal_class)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f445,plain,(
% 0.15/0.32 ~member(first(x),universal_class)|~member(second(x),universal_class)),
% 0.15/0.32 inference(resolution,[status(thm)],[f183,f354])).
% 0.15/0.32 fof(f446,plain,(
% 0.15/0.56 ~spl0_7|~spl0_8),
% 0.15/0.56 inference(split_clause,[status(thm)],[f445,f439,f442])).
% 0.15/0.56 fof(f606,plain,(
% 0.15/0.56 first(x)=x),
% 0.15/0.56 inference(resolution,[status(thm)],[f348,f354])).
% 0.15/0.56 fof(f622,plain,(
% 0.15/0.56 spl0_16 <=> ordered_pair(x,second(x))=x),
% 0.15/0.56 introduced(split_symbol_definition)).
% 0.15/0.56 fof(f623,plain,(
% 0.15/0.56 ordered_pair(x,second(x))=x|~spl0_16),
% 0.15/0.56 inference(component_clause,[status(thm)],[f622])).
% 0.15/0.56 fof(f625,plain,(
% 0.15/0.56 ordered_pair(x,second(x))=x|second(x)=x),
% 0.15/0.56 inference(paramodulation,[status(thm)],[f606,f351])).
% 0.15/0.56 fof(f626,plain,(
% 0.15/0.56 spl0_16|spl0_4),
% 0.15/0.56 inference(split_clause,[status(thm)],[f625,f622,f379])).
% 0.15/0.56 fof(f704,plain,(
% 0.15/0.56 member(ordered_pair(x,second(x)),cross_product(universal_class,universal_class))|second(x)=x),
% 0.15/0.56 inference(paramodulation,[status(thm)],[f606,f349])).
% 0.15/0.56 fof(f705,plain,(
% 0.15/0.56 spl0_2|spl0_4),
% 0.15/0.56 inference(split_clause,[status(thm)],[f704,f368,f379])).
% 0.15/0.56 fof(f708,plain,(
% 0.15/0.56 $false|~spl0_4),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f380,f355])).
% 0.15/0.56 fof(f709,plain,(
% 0.15/0.56 ~spl0_4),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f708])).
% 0.15/0.56 fof(f786,plain,(
% 0.15/0.56 spl0_28 <=> ~member(x,cross_product(X0,X1))),
% 0.15/0.56 introduced(split_symbol_definition)).
% 0.15/0.56 fof(f787,plain,(
% 0.15/0.56 ![X0,X1]: (~member(x,cross_product(X0,X1))|~spl0_28)),
% 0.15/0.56 inference(component_clause,[status(thm)],[f786])).
% 0.15/0.56 fof(f789,plain,(
% 0.15/0.56 ![X0,X1]: (~member(x,cross_product(X0,X1))|member(second(x),universal_class)|~spl0_16)),
% 0.15/0.56 inference(paramodulation,[status(thm)],[f623,f274])).
% 0.15/0.56 fof(f790,plain,(
% 0.15/0.56 spl0_28|spl0_8|~spl0_16),
% 0.15/0.56 inference(split_clause,[status(thm)],[f789,f786,f442,f622])).
% 0.15/0.56 fof(f798,plain,(
% 0.15/0.56 ~member(x,universal_class)|spl0_7),
% 0.15/0.56 inference(forward_demodulation,[status(thm)],[f606,f441])).
% 0.15/0.56 fof(f799,plain,(
% 0.15/0.56 $false|spl0_7),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f798,f386])).
% 0.15/0.56 fof(f800,plain,(
% 0.15/0.56 spl0_7),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f799])).
% 0.15/0.56 fof(f817,plain,(
% 0.15/0.56 member(x,cross_product(universal_class,universal_class))|~spl0_16|~spl0_2),
% 0.15/0.56 inference(forward_demodulation,[status(thm)],[f623,f369])).
% 0.15/0.56 fof(f818,plain,(
% 0.15/0.56 $false|~spl0_28|~spl0_16|~spl0_2),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f817,f787])).
% 0.15/0.56 fof(f819,plain,(
% 0.15/0.56 ~spl0_28|~spl0_16|~spl0_2),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f818])).
% 0.15/0.56 fof(f820,plain,(
% 0.15/0.56 $false),
% 0.15/0.56 inference(sat_refutation,[status(thm)],[f446,f626,f705,f709,f790,f800,f819])).
% 0.15/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56 % Elapsed time: 0.037413 seconds
% 0.15/0.56 % CPU time: 0.027117 seconds
% 0.15/0.56 % Memory used: 4.228 MB
%------------------------------------------------------------------------------