%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET096-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET096-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n026.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 04:54:52 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.49 % Drodi V4.1.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.50 fof(f1,axiom,(
% 0.19/0.50 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f7,axiom,(
% 0.19/0.50 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f66,axiom,(
% 0.19/0.50 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f125,axiom,(
% 0.19/0.50 (![Y,X]: (( ~ member(Y,singleton(X))| Y = X ) ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f139,axiom,(
% 0.19/0.50 (![X,Y]: (( ~ member(X,Y)| subclass(singleton(X),Y) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f140,negated_conjecture,(
% 0.19/0.50 subclass(x,singleton(y)) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f141,negated_conjecture,(
% 0.19/0.50 x != null_class ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f142,negated_conjecture,(
% 0.19/0.50 singleton(y) != x ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f143,plain,(
% 0.19/0.50 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.19/0.50 inference(miniscoping,[status(thm)],[f1])).
% 0.19/0.50 fof(f144,plain,(
% 0.19/0.50 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f143])).
% 0.19/0.50 fof(f150,plain,(
% 0.19/0.50 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.50 fof(f217,plain,(
% 0.19/0.50 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f66])).
% 0.19/0.50 fof(f294,plain,(
% 0.19/0.50 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f125])).
% 0.19/0.50 fof(f309,plain,(
% 0.19/0.50 ![X0,X1]: (~member(X0,X1)|subclass(singleton(X0),X1))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f139])).
% 0.19/0.50 fof(f310,plain,(
% 0.19/0.50 subclass(x,singleton(y))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f140])).
% 0.19/0.50 fof(f311,plain,(
% 0.19/0.50 ~x=null_class),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f141])).
% 0.19/0.50 fof(f312,plain,(
% 0.19/0.50 ~singleton(y)=x),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f142])).
% 0.19/0.50 fof(f316,plain,(
% 0.19/0.50 ![X0]: (~member(X0,x)|member(X0,singleton(y)))),
% 0.19/0.50 inference(resolution,[status(thm)],[f144,f310])).
% 0.19/0.50 fof(f327,plain,(
% 0.19/0.50 ~subclass(singleton(y),x)|singleton(y)=x),
% 0.19/0.50 inference(resolution,[status(thm)],[f150,f310])).
% 0.19/0.50 fof(f330,definition,(
% 0.19/0.50 sQ0_spl <=> (subclass(singleton(y),x))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f332,plain,(
% 0.19/0.50 ~subclass(singleton(y),x)|sQ0_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f330])).
% 0.19/0.50 fof(f333,definition,(
% 0.19/0.50 sQ1_spl <=> (singleton(y)=x)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f334,plain,(
% 0.19/0.50 singleton(y)=x|~sQ1_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f333])).
% 0.19/0.50 fof(f336,plain,(
% 0.19/0.50 ~sQ0_spl|sQ1_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f327,f330,f333])).
% 0.19/0.50 fof(f440,plain,(
% 0.19/0.50 x=null_class|member(regular(x),singleton(y))),
% 0.19/0.50 inference(resolution,[status(thm)],[f217,f316])).
% 0.19/0.50 fof(f453,definition,(
% 0.19/0.50 sQ7_spl <=> (x=null_class)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f454,plain,(
% 0.19/0.50 x=null_class|~sQ7_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f453])).
% 0.19/0.50 fof(f456,definition,(
% 0.19/0.50 sQ8_spl <=> (member(regular(x),singleton(y)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f457,plain,(
% 0.19/0.50 member(regular(x),singleton(y))|~sQ8_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f456])).
% 0.19/0.50 fof(f459,plain,(
% 0.19/0.50 sQ7_spl|sQ8_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f440,f453,f456])).
% 0.19/0.50 fof(f460,plain,(
% 0.19/0.50 $false|~sQ7_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f454,f311])).
% 0.19/0.50 fof(f461,plain,(
% 0.19/0.50 ~sQ7_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f460])).
% 0.19/0.50 fof(f481,plain,(
% 0.19/0.50 $false|~sQ1_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f334,f312])).
% 0.19/0.51 fof(f482,plain,(
% 0.19/0.51 ~sQ1_spl),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f481])).
% 0.19/0.51 fof(f525,plain,(
% 0.19/0.51 regular(x)=y|~sQ8_spl),
% 0.19/0.51 inference(resolution,[status(thm)],[f457,f294])).
% 0.19/0.51 fof(f528,plain,(
% 0.19/0.51 x=null_class|member(y,x)|~sQ8_spl),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f525,f217])).
% 0.19/0.51 fof(f529,definition,(
% 0.19/0.51 sQ11_spl <=> (member(y,x))),
% 0.19/0.51 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.19/0.51 fof(f530,plain,(
% 0.19/0.51 member(y,x)|~sQ11_spl),
% 0.19/0.51 inference(component_clause,[status(thm)],[f529])).
% 0.19/0.51 fof(f532,plain,(
% 0.19/0.51 sQ7_spl|sQ11_spl|~sQ8_spl),
% 0.19/0.51 inference(split_clause,[status(thm)],[f528,f453,f529,f456])).
% 0.19/0.51 fof(f534,plain,(
% 0.19/0.51 subclass(singleton(y),x)|~sQ11_spl),
% 0.19/0.51 inference(resolution,[status(thm)],[f530,f309])).
% 0.19/0.51 fof(f535,plain,(
% 0.19/0.51 $false|sQ0_spl|~sQ11_spl),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f534,f332])).
% 0.19/0.51 fof(f536,plain,(
% 0.19/0.51 sQ0_spl|~sQ11_spl),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f535])).
% 0.19/0.51 fof(f537,plain,(
% 0.19/0.51 $false),
% 0.19/0.51 inference(sat_refutation,[status(thm)],[f336,f459,f461,f482,f532,f536])).
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.57 % Elapsed time: 0.100496 seconds
% 0.24/0.57 % CPU time: 0.154948 seconds
% 0.24/0.57 % Total memory used: 20.397 MB
% 0.24/0.57 % Net memory used: 20.353 MB
%------------------------------------------------------------------------------