TSTP Solution File: SET122-7 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET122-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:39:13 EDT 2024
% Result : Unsatisfiable 36.21s 4.95s
% Output : CNFRefutation 36.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET122-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.11/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:42:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 36.21/4.95 % Refutation found
% 36.21/4.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 36.21/4.95 % SZS output start CNFRefutation for theBenchmark
% 36.21/4.95 fof(f1,axiom,(
% 36.21/4.95 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f4,axiom,(
% 36.21/4.95 (![X]: (subclass(X,universal_class) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f11,axiom,(
% 36.21/4.95 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f12,axiom,(
% 36.21/4.95 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f13,axiom,(
% 36.21/4.95 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f15,axiom,(
% 36.21/4.95 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f23,axiom,(
% 36.21/4.95 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f52,axiom,(
% 36.21/4.95 member(omega,universal_class) ),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f116,axiom,(
% 36.21/4.95 (![X,Y]: (( ~ member(X,universal_class)| unordered_pair(X,Y) != null_class ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f145,axiom,(
% 36.21/4.95 (![X,Y]: (member(ordered_pair(X,Y),universal_class) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f151,axiom,(
% 36.21/4.95 (![W,X,Y,Z]: (( ordered_pair(W,X) != ordered_pair(Y,Z)| ~ member(W,universal_class)| W = Y ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f153,axiom,(
% 36.21/4.95 (![Y,Z]: (( ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))| member(ordered_pair(first(ordered_pair(Y,Z)),second(ordered_pair(Y,Z))),cross_product(universal_class,universal_class)) ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f155,axiom,(
% 36.21/4.95 (![X]: (( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))| second(X) = X ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f157,axiom,(
% 36.21/4.95 (![X]: (( ordered_pair(first(X),second(X)) = X| second(X) = X ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f167,axiom,(
% 36.21/4.95 (![X,Y]: (( member(X,universal_class)| second(ordered_pair(X,Y)) = ordered_pair(X,Y) ) ))),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f168,negated_conjecture,(
% 36.21/4.95 ~ member(y,universal_class) ),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f169,negated_conjecture,(
% 36.21/4.95 second(ordered_pair(x,y)) != ordered_pair(x,y) ),
% 36.21/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 36.21/4.95 fof(f170,plain,(
% 36.21/4.95 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 36.21/4.95 inference(miniscoping,[status(esa)],[f1])).
% 36.21/4.95 fof(f171,plain,(
% 36.21/4.95 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f170])).
% 36.21/4.95 fof(f174,plain,(
% 36.21/4.95 ![X0]: (subclass(X0,universal_class))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f4])).
% 36.21/4.95 fof(f184,plain,(
% 36.21/4.95 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f11])).
% 36.21/4.95 fof(f185,plain,(
% 36.21/4.95 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f12])).
% 36.21/4.95 fof(f186,plain,(
% 36.21/4.95 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f13])).
% 36.21/4.95 fof(f189,plain,(
% 36.21/4.95 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 36.21/4.95 inference(miniscoping,[status(esa)],[f15])).
% 36.21/4.95 fof(f190,plain,(
% 36.21/4.95 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f189])).
% 36.21/4.95 fof(f201,plain,(
% 36.21/4.95 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f23])).
% 36.21/4.95 fof(f230,plain,(
% 36.21/4.95 member(omega,universal_class)),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f52])).
% 36.21/4.95 fof(f309,plain,(
% 36.21/4.95 ![X]: (~member(X,universal_class)|(![Y]: ~unordered_pair(X,Y)=null_class))),
% 36.21/4.95 inference(miniscoping,[status(esa)],[f116])).
% 36.21/4.95 fof(f310,plain,(
% 36.21/4.95 ![X0,X1]: (~member(X0,universal_class)|~unordered_pair(X0,X1)=null_class)),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f309])).
% 36.21/4.95 fof(f342,plain,(
% 36.21/4.95 ![X0,X1]: (member(ordered_pair(X0,X1),universal_class))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f145])).
% 36.21/4.95 fof(f351,plain,(
% 36.21/4.95 ![W,Y]: (((![X,Z]: ~ordered_pair(W,X)=ordered_pair(Y,Z))|~member(W,universal_class))|W=Y)),
% 36.21/4.95 inference(miniscoping,[status(esa)],[f151])).
% 36.21/4.95 fof(f352,plain,(
% 36.21/4.95 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|~member(X0,universal_class)|X0=X2)),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f351])).
% 36.21/4.95 fof(f355,plain,(
% 36.21/4.95 ![X0,X1]: (~member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))|member(ordered_pair(first(ordered_pair(X0,X1)),second(ordered_pair(X0,X1))),cross_product(universal_class,universal_class)))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f153])).
% 36.21/4.95 fof(f357,plain,(
% 36.21/4.95 ![X0]: (member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))|second(X0)=X0)),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f155])).
% 36.21/4.95 fof(f359,plain,(
% 36.21/4.95 ![X0]: (ordered_pair(first(X0),second(X0))=X0|second(X0)=X0)),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f157])).
% 36.21/4.95 fof(f370,plain,(
% 36.21/4.95 ![X]: (member(X,universal_class)|(![Y]: second(ordered_pair(X,Y))=ordered_pair(X,Y)))),
% 36.21/4.95 inference(miniscoping,[status(esa)],[f167])).
% 36.21/4.95 fof(f371,plain,(
% 36.21/4.95 ![X0,X1]: (member(X0,universal_class)|second(ordered_pair(X0,X1))=ordered_pair(X0,X1))),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f370])).
% 36.21/4.95 fof(f372,plain,(
% 36.21/4.95 ~member(y,universal_class)),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f168])).
% 36.21/4.95 fof(f373,plain,(
% 36.21/4.95 ~second(ordered_pair(x,y))=ordered_pair(x,y)),
% 36.21/4.95 inference(cnf_transformation,[status(esa)],[f169])).
% 36.21/4.95 fof(f406,plain,(
% 36.21/4.95 ![X0,X1,X2,X3,X4]: (~ordered_pair(unordered_pair(X0,X1),X2)=ordered_pair(X3,X4)|unordered_pair(X0,X1)=X3)),
% 36.21/4.95 inference(resolution,[status(thm)],[f184,f352])).
% 36.21/4.95 fof(f417,plain,(
% 36.21/4.95 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 36.21/4.95 inference(resolution,[status(thm)],[f174,f171])).
% 36.21/4.95 fof(f430,plain,(
% 36.21/4.95 ![X0,X1,X2,X3]: (~ordered_pair(singleton(X0),X1)=ordered_pair(X2,X3)|unordered_pair(X0,X0)=X2)),
% 36.21/4.95 inference(paramodulation,[status(thm)],[f185,f406])).
% 36.21/4.95 fof(f431,plain,(
% 36.21/4.95 ![X0,X1,X2,X3]: (~ordered_pair(singleton(X0),X1)=ordered_pair(X2,X3)|singleton(X0)=X2)),
% 36.21/4.95 inference(forward_demodulation,[status(thm)],[f185,f430])).
% 36.21/4.95 fof(f443,plain,(
% 36.21/4.95 ![X0]: (~member(y,X0))),
% 36.21/4.95 inference(resolution,[status(thm)],[f417,f372])).
% 36.21/4.95 fof(f496,plain,(
% 36.21/4.95 ![X0,X1,X2]: (~unordered_pair(unordered_pair(X0,X1),X2)=null_class)),
% 36.21/4.95 inference(resolution,[status(thm)],[f310,f184])).
% 36.21/4.95 fof(f501,plain,(
% 36.21/4.95 ![X0,X1,X2]: (~unordered_pair(X0,X1)=null_class|second(ordered_pair(X0,X2))=ordered_pair(X0,X2))),
% 36.21/4.95 inference(resolution,[status(thm)],[f310,f371])).
% 36.21/4.95 fof(f510,plain,(
% 36.21/4.95 ![X0,X1]: (~singleton(X0)=null_class|second(ordered_pair(X0,X1))=ordered_pair(X0,X1))),
% 36.21/4.95 inference(paramodulation,[status(thm)],[f185,f501])).
% 36.21/4.95 fof(f516,plain,(
% 36.21/4.95 ![X0,X1,X2,X3]: (second(ordered_pair(X0,X1))=ordered_pair(X0,X1)|~ordered_pair(singleton(X0),X2)=ordered_pair(null_class,X3))),
% 36.21/4.95 inference(resolution,[status(thm)],[f510,f431])).
% 36.21/4.95 fof(f518,plain,(
% 36.21/4.95 ![X0,X1]: (~ordered_pair(singleton(x),X0)=ordered_pair(null_class,X1))),
% 36.21/4.95 inference(resolution,[status(thm)],[f516,f373])).
% 36.21/4.95 fof(f535,plain,(
% 36.21/4.95 ![X0,X1]: (~unordered_pair(singleton(X0),X1)=null_class)),
% 36.21/4.95 inference(paramodulation,[status(thm)],[f185,f496])).
% 36.21/4.95 fof(f591,plain,(
% 36.21/4.95 spl0_6 <=> ordered_pair(x,y)=ordered_pair(x,y)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f593,plain,(
% 36.21/4.95 ~ordered_pair(x,y)=ordered_pair(x,y)|spl0_6),
% 36.21/4.95 inference(component_clause,[status(thm)],[f591])).
% 36.21/4.95 fof(f599,plain,(
% 36.21/4.95 $false|spl0_6),
% 36.21/4.95 inference(trivial_equality_resolution,[status(esa)],[f593])).
% 36.21/4.95 fof(f600,plain,(
% 36.21/4.95 spl0_6),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f599])).
% 36.21/4.95 fof(f730,plain,(
% 36.21/4.95 ![X0,X1]: (~ordered_pair(X0,X1)=null_class)),
% 36.21/4.95 inference(paramodulation,[status(thm)],[f186,f535])).
% 36.21/4.95 fof(f1905,plain,(
% 36.21/4.95 ![X0,X1,X2]: (~member(ordered_pair(X0,X1),X2)|member(ordered_pair(X0,X1),intersection(X2,universal_class)))),
% 36.21/4.95 inference(resolution,[status(thm)],[f201,f342])).
% 36.21/4.95 fof(f2466,plain,(
% 36.21/4.95 ![X0,X1]: (member(ordered_pair(X0,X1),intersection(universal_class,universal_class)))),
% 36.21/4.95 inference(resolution,[status(thm)],[f1905,f342])).
% 36.21/4.95 fof(f5475,plain,(
% 36.21/4.95 spl0_166 <=> member(y,universal_class)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f5476,plain,(
% 36.21/4.95 member(y,universal_class)|~spl0_166),
% 36.21/4.95 inference(component_clause,[status(thm)],[f5475])).
% 36.21/4.95 fof(f11558,plain,(
% 36.21/4.95 $false|~spl0_166),
% 36.21/4.95 inference(forward_subsumption_resolution,[status(thm)],[f5476,f443])).
% 36.21/4.95 fof(f11559,plain,(
% 36.21/4.95 ~spl0_166),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f11558])).
% 36.21/4.95 fof(f17133,plain,(
% 36.21/4.95 spl0_607 <=> ~member(omega,X1)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f17134,plain,(
% 36.21/4.95 ![X0]: (~member(omega,X0)|~spl0_607)),
% 36.21/4.95 inference(component_clause,[status(thm)],[f17133])).
% 36.21/4.95 fof(f21638,plain,(
% 36.21/4.95 spl0_758 <=> universal_class=ordered_pair(X0,X1)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f21639,plain,(
% 36.21/4.95 ![X0,X1]: (universal_class=ordered_pair(X0,X1)|~spl0_758)),
% 36.21/4.95 inference(component_clause,[status(thm)],[f21638])).
% 36.21/4.95 fof(f22154,plain,(
% 36.21/4.95 spl0_770 <=> ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y)))=ordered_pair(x,y)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f22155,plain,(
% 36.21/4.95 ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y)))=ordered_pair(x,y)|~spl0_770),
% 36.21/4.95 inference(component_clause,[status(thm)],[f22154])).
% 36.21/4.95 fof(f22157,plain,(
% 36.21/4.95 ~ordered_pair(x,y)=ordered_pair(x,y)|ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y)))=ordered_pair(x,y)),
% 36.21/4.95 inference(paramodulation,[status(thm)],[f359,f373])).
% 36.21/4.95 fof(f22158,plain,(
% 36.21/4.95 ~spl0_6|spl0_770),
% 36.21/4.95 inference(split_clause,[status(thm)],[f22157,f591,f22154])).
% 36.21/4.95 fof(f22193,plain,(
% 36.21/4.95 spl0_773 <=> member(ordered_pair(x,y),cross_product(universal_class,universal_class))),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f22196,plain,(
% 36.21/4.95 spl0_774 <=> second(ordered_pair(x,y))=ordered_pair(x,y)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f22197,plain,(
% 36.21/4.95 second(ordered_pair(x,y))=ordered_pair(x,y)|~spl0_774),
% 36.21/4.95 inference(component_clause,[status(thm)],[f22196])).
% 36.21/4.95 fof(f22199,plain,(
% 36.21/4.95 member(ordered_pair(x,y),cross_product(universal_class,universal_class))|second(ordered_pair(x,y))=ordered_pair(x,y)|~spl0_770),
% 36.21/4.95 inference(paramodulation,[status(thm)],[f22155,f357])).
% 36.21/4.95 fof(f22200,plain,(
% 36.21/4.95 spl0_773|spl0_774|~spl0_770),
% 36.21/4.95 inference(split_clause,[status(thm)],[f22199,f22193,f22196,f22154])).
% 36.21/4.95 fof(f22224,plain,(
% 36.21/4.95 spl0_779 <=> member(ordered_pair(first(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y)))),second(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))))),cross_product(universal_class,universal_class))),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f22225,plain,(
% 36.21/4.95 member(ordered_pair(first(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y)))),second(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))))),cross_product(universal_class,universal_class))|~spl0_779),
% 36.21/4.95 inference(component_clause,[status(thm)],[f22224])).
% 36.21/4.95 fof(f22227,plain,(
% 36.21/4.95 ~member(ordered_pair(x,y),cross_product(universal_class,universal_class))|member(ordered_pair(first(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y)))),second(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))))),cross_product(universal_class,universal_class))|~spl0_770),
% 36.21/4.95 inference(paramodulation,[status(thm)],[f22155,f355])).
% 36.21/4.95 fof(f22228,plain,(
% 36.21/4.95 ~spl0_773|spl0_779|~spl0_770),
% 36.21/4.95 inference(split_clause,[status(thm)],[f22227,f22193,f22224,f22154])).
% 36.21/4.95 fof(f22254,plain,(
% 36.21/4.95 spl0_783 <=> ~ordered_pair(x,X0)=ordered_pair(x,y)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f22255,plain,(
% 36.21/4.95 ![X0]: (~ordered_pair(x,X0)=ordered_pair(x,y)|~spl0_783)),
% 36.21/4.95 inference(component_clause,[status(thm)],[f22254])).
% 36.21/4.95 fof(f22296,plain,(
% 36.21/4.95 member(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))))),cross_product(universal_class,universal_class))|~spl0_770|~spl0_779),
% 36.21/4.95 inference(forward_demodulation,[status(thm)],[f22155,f22225])).
% 36.21/4.95 fof(f22297,plain,(
% 36.21/4.95 member(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),cross_product(universal_class,universal_class))|~spl0_770|~spl0_779),
% 36.21/4.95 inference(forward_demodulation,[status(thm)],[f22155,f22296])).
% 36.21/4.95 fof(f22298,plain,(
% 36.21/4.95 member(ordered_pair(x,y),cross_product(universal_class,universal_class))|~spl0_770|~spl0_779),
% 36.21/4.95 inference(forward_demodulation,[status(thm)],[f22155,f22297])).
% 36.21/4.95 fof(f22299,plain,(
% 36.21/4.95 $false|~spl0_774),
% 36.21/4.95 inference(forward_subsumption_resolution,[status(thm)],[f22197,f373])).
% 36.21/4.95 fof(f22300,plain,(
% 36.21/4.95 ~spl0_774),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f22299])).
% 36.21/4.95 fof(f22332,plain,(
% 36.21/4.95 ![X0]: (~ordered_pair(singleton(x),X0)=universal_class|~spl0_758)),
% 36.21/4.95 inference(backward_demodulation,[status(thm)],[f21639,f518])).
% 36.21/4.95 fof(f22333,plain,(
% 36.21/4.95 ~universal_class=universal_class|~spl0_758),
% 36.21/4.95 inference(forward_demodulation,[status(thm)],[f21639,f22332])).
% 36.21/4.95 fof(f22334,plain,(
% 36.21/4.95 $false|~spl0_758),
% 36.21/4.95 inference(trivial_equality_resolution,[status(esa)],[f22333])).
% 36.21/4.95 fof(f22335,plain,(
% 36.21/4.95 ~spl0_758),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f22334])).
% 36.21/4.95 fof(f22773,plain,(
% 36.21/4.95 spl0_795 <=> ordered_pair(null_class,y)=ordered_pair(null_class,y)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f22775,plain,(
% 36.21/4.95 ~ordered_pair(null_class,y)=ordered_pair(null_class,y)|spl0_795),
% 36.21/4.95 inference(component_clause,[status(thm)],[f22773])).
% 36.21/4.95 fof(f22781,plain,(
% 36.21/4.95 $false|spl0_795),
% 36.21/4.95 inference(trivial_equality_resolution,[status(esa)],[f22775])).
% 36.21/4.95 fof(f22782,plain,(
% 36.21/4.95 spl0_795),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f22781])).
% 36.21/4.95 fof(f22869,plain,(
% 36.21/4.95 $false|~spl0_607),
% 36.21/4.95 inference(backward_subsumption_resolution,[status(thm)],[f230,f17134])).
% 36.21/4.95 fof(f22870,plain,(
% 36.21/4.95 ~spl0_607),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f22869])).
% 36.21/4.95 fof(f23211,plain,(
% 36.21/4.95 spl0_800 <=> null_class=ordered_pair(null_class,y)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f23212,plain,(
% 36.21/4.95 null_class=ordered_pair(null_class,y)|~spl0_800),
% 36.21/4.95 inference(component_clause,[status(thm)],[f23211])).
% 36.21/4.95 fof(f23218,plain,(
% 36.21/4.95 $false|~spl0_800),
% 36.21/4.95 inference(forward_subsumption_resolution,[status(thm)],[f23212,f730])).
% 36.21/4.95 fof(f23219,plain,(
% 36.21/4.95 ~spl0_800),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f23218])).
% 36.21/4.95 fof(f23249,plain,(
% 36.21/4.95 spl0_804 <=> ~ordered_pair(null_class,X0)=ordered_pair(null_class,y)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f23250,plain,(
% 36.21/4.95 ![X0]: (~ordered_pair(null_class,X0)=ordered_pair(null_class,y)|~spl0_804)),
% 36.21/4.95 inference(component_clause,[status(thm)],[f23249])).
% 36.21/4.95 fof(f24194,plain,(
% 36.21/4.95 $false|~spl0_783),
% 36.21/4.95 inference(equality_resolution,[status(esa)],[f22255])).
% 36.21/4.95 fof(f24195,plain,(
% 36.21/4.95 ~spl0_783),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f24194])).
% 36.21/4.95 fof(f24197,plain,(
% 36.21/4.95 $false|~spl0_804),
% 36.21/4.95 inference(equality_resolution,[status(esa)],[f23250])).
% 36.21/4.95 fof(f24198,plain,(
% 36.21/4.95 ~spl0_804),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f24197])).
% 36.21/4.95 fof(f24529,plain,(
% 36.21/4.95 spl0_884 <=> universal_class=cross_product(cross_product(universal_class,universal_class),universal_class)),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f24530,plain,(
% 36.21/4.95 universal_class=cross_product(cross_product(universal_class,universal_class),universal_class)|~spl0_884),
% 36.21/4.95 inference(component_clause,[status(thm)],[f24529])).
% 36.21/4.95 fof(f24752,plain,(
% 36.21/4.95 spl0_900 <=> ordered_pair(x,y)=y),
% 36.21/4.95 introduced(split_symbol_definition)).
% 36.21/4.95 fof(f24753,plain,(
% 36.21/4.95 ordered_pair(x,y)=y|~spl0_900),
% 36.21/4.95 inference(component_clause,[status(thm)],[f24752])).
% 36.21/4.95 fof(f24832,plain,(
% 36.21/4.95 member(y,intersection(universal_class,universal_class))|~spl0_900),
% 36.21/4.95 inference(paramodulation,[status(thm)],[f24753,f2466])).
% 36.21/4.95 fof(f24833,plain,(
% 36.21/4.95 $false|~spl0_900),
% 36.21/4.95 inference(forward_subsumption_resolution,[status(thm)],[f24832,f443])).
% 36.21/4.95 fof(f24834,plain,(
% 36.21/4.95 ~spl0_900),
% 36.21/4.95 inference(contradiction_clause,[status(thm)],[f24833])).
% 36.21/4.95 fof(f25341,plain,(
% 36.21/4.95 ![X0,X1]: (~member(ordered_pair(X0,X1),universal_class)|member(X1,universal_class)|~spl0_884)),
% 36.21/5.00 inference(paramodulation,[status(thm)],[f24530,f190])).
% 36.21/5.00 fof(f25342,plain,(
% 36.21/5.00 ![X0]: (member(X0,universal_class)|~spl0_884)),
% 36.21/5.00 inference(forward_subsumption_resolution,[status(thm)],[f25341,f342])).
% 36.21/5.00 fof(f25364,plain,(
% 36.21/5.00 $false|~spl0_884),
% 36.21/5.00 inference(resolution,[status(thm)],[f25342,f443])).
% 36.21/5.00 fof(f25365,plain,(
% 36.21/5.00 ~spl0_884),
% 36.21/5.00 inference(contradiction_clause,[status(thm)],[f25364])).
% 36.21/5.00 fof(f25538,plain,(
% 36.21/5.00 spl0_953 <=> ~ordered_pair(X0,null_class)=ordered_pair(X1,null_class)),
% 36.21/5.00 introduced(split_symbol_definition)).
% 36.21/5.00 fof(f25539,plain,(
% 36.21/5.00 ![X0,X1]: (~ordered_pair(X0,null_class)=ordered_pair(X1,null_class)|~spl0_953)),
% 36.21/5.00 inference(component_clause,[status(thm)],[f25538])).
% 36.21/5.00 fof(f26866,plain,(
% 36.21/5.00 $false|~spl0_953),
% 36.21/5.00 inference(equality_resolution,[status(esa)],[f25539])).
% 36.21/5.00 fof(f26867,plain,(
% 36.21/5.00 ~spl0_953),
% 36.21/5.00 inference(contradiction_clause,[status(thm)],[f26866])).
% 36.21/5.00 fof(f27034,plain,(
% 36.21/5.00 member(y,universal_class)|~spl0_770|~spl0_779),
% 36.21/5.00 inference(resolution,[status(thm)],[f22298,f190])).
% 36.21/5.00 fof(f27035,plain,(
% 36.21/5.00 spl0_166|~spl0_770|~spl0_779),
% 36.21/5.00 inference(split_clause,[status(thm)],[f27034,f5475,f22154,f22224])).
% 36.21/5.00 fof(f27049,plain,(
% 36.21/5.00 $false),
% 36.21/5.00 inference(sat_refutation,[status(thm)],[f600,f11559,f22158,f22200,f22228,f22300,f22335,f22782,f22870,f23219,f24195,f24198,f24834,f25365,f26867,f27035])).
% 36.21/5.00 % SZS output end CNFRefutation for theBenchmark.p
% 36.21/5.01 % Elapsed time: 4.643972 seconds
% 36.21/5.01 % CPU time: 36.610505 seconds
% 36.21/5.01 % Total memory used: 244.154 MB
% 36.21/5.01 % Net memory used: 236.913 MB
%------------------------------------------------------------------------------