%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET096-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:11:32 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET096-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n003.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 21 04:53:46 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.19/0.44 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f1,axiom,(
% 0.19/0.48 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f2,axiom,(
% 0.19/0.48 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f3,axiom,(
% 0.19/0.48 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f5,axiom,(
% 0.19/0.48 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f7,axiom,(
% 0.19/0.48 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f8,axiom,(
% 0.19/0.48 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f12,axiom,(
% 0.19/0.48 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f66,axiom,(
% 0.19/0.48 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f92,negated_conjecture,(
% 0.19/0.48 subclass(x,singleton(y)) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f93,negated_conjecture,(
% 0.19/0.48 x != null_class ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f94,negated_conjecture,(
% 0.19/0.48 singleton(y) != x ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f95,plain,(
% 0.19/0.48 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.19/0.48 inference(miniscoping,[status(thm)],[f1])).
% 0.19/0.48 fof(f96,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f95])).
% 0.19/0.48 fof(f97,plain,(
% 0.19/0.48 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.19/0.48 fof(f98,plain,(
% 0.19/0.48 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.19/0.48 fof(f100,plain,(
% 0.19/0.48 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/0.48 fof(f102,plain,(
% 0.19/0.48 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.48 fof(f103,plain,(
% 0.19/0.48 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.19/0.48 inference(miniscoping,[status(thm)],[f8])).
% 0.19/0.48 fof(f104,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f103])).
% 0.19/0.48 fof(f110,plain,(
% 0.19/0.48 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.48 fof(f169,plain,(
% 0.19/0.48 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f66])).
% 0.19/0.48 fof(f200,plain,(
% 0.19/0.48 subclass(x,singleton(y))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f92])).
% 0.19/0.48 fof(f201,plain,(
% 0.19/0.48 ~x=null_class),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f93])).
% 0.19/0.48 fof(f202,plain,(
% 0.19/0.48 ~singleton(y)=x),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f94])).
% 0.19/0.48 fof(f203,plain,(
% 0.19/0.48 ![X0]: (subclass(X0,X0))),
% 0.19/0.48 inference(destructive_equality_resolution,[status(thm)],[f100])).
% 0.19/0.48 fof(f206,plain,(
% 0.19/0.48 ~subclass(singleton(y),x)|singleton(y)=x),
% 0.19/0.48 inference(resolution,[status(thm)],[f102,f200])).
% 0.19/0.48 fof(f209,definition,(
% 0.19/0.48 sQ0_spl <=> (subclass(singleton(y),x))),
% 0.19/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.48 fof(f211,plain,(
% 0.19/0.48 ~subclass(singleton(y),x)|sQ0_spl),
% 0.19/0.48 inference(component_clause,[status(thm)],[f209])).
% 0.19/0.48 fof(f212,definition,(
% 0.19/0.48 sQ1_spl <=> (singleton(y)=x)),
% 0.19/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/0.48 fof(f213,plain,(
% 0.19/0.48 singleton(y)=x|~sQ1_spl),
% 0.19/0.48 inference(component_clause,[status(thm)],[f212])).
% 0.19/0.48 fof(f215,plain,(
% 0.19/0.48 ~sQ0_spl|sQ1_spl),
% 0.19/0.48 inference(split_clause,[status(thm)],[f206,f209,f212])).
% 0.19/0.48 fof(f223,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (X0=X1|X0=X2|~subclass(X3,unordered_pair(X1,X2))|~member(X0,X3))),
% 0.19/0.48 inference(resolution,[status(thm)],[f104,f96])).
% 0.19/0.49 fof(f241,plain,(
% 0.19/0.49 ![X0,X1,X2]: (X0=X1|X0=X1|~subclass(X2,singleton(X1))|~member(X0,X2))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f110,f223])).
% 0.19/0.49 fof(f242,plain,(
% 0.19/0.49 ![X0,X1,X2]: (X0=X1|~subclass(X2,singleton(X1))|~member(X0,X2))),
% 0.19/0.49 inference(duplicate_literals_removal,[status(thm)],[f241])).
% 0.19/0.49 fof(f243,plain,(
% 0.19/0.49 ![X0]: (X0=y|~member(X0,x))),
% 0.19/0.49 inference(resolution,[status(thm)],[f242,f200])).
% 0.19/0.49 fof(f244,plain,(
% 0.19/0.49 ![X0,X1]: (X0=X1|~member(X0,singleton(X1)))),
% 0.19/0.49 inference(resolution,[status(thm)],[f242,f203])).
% 0.19/0.49 fof(f247,plain,(
% 0.19/0.49 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 0.19/0.49 inference(resolution,[status(thm)],[f244,f97])).
% 0.19/0.49 fof(f263,definition,(
% 0.19/0.49 sQ5_spl <=> (member(y,x))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f277,plain,(
% 0.19/0.49 not_subclass_element(singleton(y),x)=y|sQ0_spl),
% 0.19/0.49 inference(resolution,[status(thm)],[f247,f211])).
% 0.19/0.49 fof(f299,plain,(
% 0.19/0.49 ~member(y,x)|subclass(singleton(y),x)|sQ0_spl),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f277,f98])).
% 0.19/0.49 fof(f301,plain,(
% 0.19/0.49 ~sQ5_spl|sQ0_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f299,f263,f209])).
% 0.19/0.49 fof(f345,plain,(
% 0.19/0.49 $false|~sQ1_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f213,f202])).
% 0.19/0.49 fof(f346,plain,(
% 0.19/0.49 ~sQ1_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f345])).
% 0.19/0.49 fof(f363,plain,(
% 0.19/0.49 x=null_class|regular(x)=y),
% 0.19/0.49 inference(resolution,[status(thm)],[f169,f243])).
% 0.19/0.49 fof(f365,definition,(
% 0.19/0.49 sQ13_spl <=> (x=null_class)),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f366,plain,(
% 0.19/0.49 x=null_class|~sQ13_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f365])).
% 0.19/0.49 fof(f376,definition,(
% 0.19/0.49 sQ16_spl <=> (regular(x)=y)),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f377,plain,(
% 0.19/0.49 regular(x)=y|~sQ16_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f376])).
% 0.19/0.49 fof(f379,plain,(
% 0.19/0.49 sQ13_spl|sQ16_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f363,f365,f376])).
% 0.19/0.49 fof(f380,plain,(
% 0.19/0.49 $false|~sQ13_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f366,f201])).
% 0.19/0.49 fof(f381,plain,(
% 0.19/0.49 ~sQ13_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f380])).
% 0.19/0.49 fof(f382,plain,(
% 0.19/0.49 x=null_class|member(y,x)|~sQ16_spl),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f377,f169])).
% 0.19/0.49 fof(f383,plain,(
% 0.19/0.49 sQ13_spl|sQ5_spl|~sQ16_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f382,f365,f263,f376])).
% 0.19/0.49 fof(f384,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f215,f301,f346,f379,f381,f383])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.52 % Elapsed time: 0.090286 seconds
% 0.19/0.52 % CPU time: 0.333634 seconds
% 0.19/0.52 % Total memory used: 71.698 MB
% 0.19/0.52 % Net memory used: 71.347 MB
%------------------------------------------------------------------------------