%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET097-7 : 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 : n018.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 1.13s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET097-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:54:43 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 1.13/0.57 % Refutation found
% 1.13/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.13/0.57 % SZS output start CNFRefutation for theBenchmark
% 1.13/0.57 fof(f1,axiom,(
% 1.13/0.57 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f2,axiom,(
% 1.13/0.57 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f3,axiom,(
% 1.13/0.57 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f4,axiom,(
% 1.13/0.57 (![X]: (subclass(X,universal_class) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f7,axiom,(
% 1.13/0.57 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f23,axiom,(
% 1.13/0.57 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f25,axiom,(
% 1.13/0.57 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f103,axiom,(
% 1.13/0.57 (![Z]: (~ member(Z,null_class) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f104,axiom,(
% 1.13/0.57 (![X]: (subclass(null_class,X) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f140,axiom,(
% 1.13/0.57 (![X,Y]: (( ~ subclass(X,singleton(Y))| X = null_class| singleton(Y) = X ) ))),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f141,negated_conjecture,(
% 1.13/0.57 ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)) ),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f142,negated_conjecture,(
% 1.13/0.57 singleton(not_subclass_element(x,null_class)) != x ),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f143,negated_conjecture,(
% 1.13/0.57 x != null_class ),
% 1.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.57 fof(f144,plain,(
% 1.13/0.57 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 1.13/0.57 inference(miniscoping,[status(thm)],[f1])).
% 1.13/0.57 fof(f145,plain,(
% 1.13/0.57 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f144])).
% 1.13/0.57 fof(f146,plain,(
% 1.13/0.57 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 1.13/0.57 fof(f147,plain,(
% 1.13/0.57 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 1.13/0.57 fof(f148,plain,(
% 1.13/0.57 ![X0]: (subclass(X0,universal_class))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 1.13/0.57 fof(f151,plain,(
% 1.13/0.57 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f7])).
% 1.13/0.57 fof(f175,plain,(
% 1.13/0.57 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f23])).
% 1.13/0.57 fof(f177,plain,(
% 1.13/0.57 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f25])).
% 1.13/0.57 fof(f265,plain,(
% 1.13/0.57 ![X0]: (~member(X0,null_class))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f103])).
% 1.13/0.57 fof(f266,plain,(
% 1.13/0.57 ![X0]: (subclass(null_class,X0))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f104])).
% 1.13/0.57 fof(f311,plain,(
% 1.13/0.57 ![X0,X1]: (~subclass(X0,singleton(X1))|X0=null_class|singleton(X1)=X0)),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f140])).
% 1.13/0.57 fof(f312,plain,(
% 1.13/0.57 ~member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x))),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f141])).
% 1.13/0.57 fof(f313,plain,(
% 1.13/0.57 ~singleton(not_subclass_element(x,null_class))=x),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f142])).
% 1.13/0.57 fof(f314,plain,(
% 1.13/0.57 ~x=null_class),
% 1.13/0.57 inference(cnf_transformation,[status(thm)],[f143])).
% 1.13/0.57 fof(f321,plain,(
% 1.13/0.57 subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class)),
% 1.13/0.58 inference(resolution,[status(thm)],[f146,f312])).
% 1.13/0.58 fof(f343,plain,(
% 1.13/0.58 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 1.13/0.58 inference(resolution,[status(thm)],[f145,f148])).
% 1.13/0.58 fof(f355,plain,(
% 1.13/0.58 ~subclass(null_class,intersection(complement(singleton(not_subclass_element(x,null_class))),x))|null_class=intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
% 1.13/0.58 inference(resolution,[status(thm)],[f321,f151])).
% 1.13/0.58 fof(f359,plain,(
% 1.13/0.58 null_class=intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
% 1.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f355,f266])).
% 1.13/0.58 fof(f364,plain,(
% 1.13/0.58 ![X0]: (~member(X0,complement(singleton(not_subclass_element(x,null_class))))|~member(X0,x)|member(X0,null_class))),
% 1.13/0.58 inference(paramodulation,[status(thm)],[f359,f175])).
% 1.13/0.58 fof(f365,plain,(
% 1.13/0.58 ![X0]: (~member(X0,complement(singleton(not_subclass_element(x,null_class))))|~member(X0,x))),
% 1.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f364,f265])).
% 1.13/0.58 fof(f397,plain,(
% 1.13/0.58 ![X0]: (~member(X0,universal_class)|member(X0,singleton(not_subclass_element(x,null_class)))|~member(X0,x))),
% 1.13/0.58 inference(resolution,[status(thm)],[f177,f365])).
% 1.13/0.58 fof(f399,plain,(
% 1.13/0.58 ![X0]: (member(X0,singleton(not_subclass_element(x,null_class)))|~member(X0,x))),
% 1.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f397,f343])).
% 1.13/0.58 fof(f448,plain,(
% 1.13/0.58 ![X0]: (member(not_subclass_element(x,X0),singleton(not_subclass_element(x,null_class)))|subclass(x,X0))),
% 1.13/0.58 inference(resolution,[status(thm)],[f399,f146])).
% 1.13/0.58 fof(f449,plain,(
% 1.13/0.58 subclass(x,singleton(not_subclass_element(x,null_class)))|subclass(x,singleton(not_subclass_element(x,null_class)))),
% 1.13/0.58 inference(resolution,[status(thm)],[f448,f147])).
% 1.13/0.58 fof(f455,plain,(
% 1.13/0.58 subclass(x,singleton(not_subclass_element(x,null_class)))),
% 1.13/0.58 inference(duplicate_literals_removal,[status(thm)],[f449])).
% 1.13/0.58 fof(f456,plain,(
% 1.13/0.58 x=null_class|singleton(not_subclass_element(x,null_class))=x),
% 1.13/0.58 inference(resolution,[status(thm)],[f455,f311])).
% 1.13/0.58 fof(f465,plain,(
% 1.13/0.58 ~x=x),
% 1.13/0.58 inference(backward_demodulation,[status(thm)],[f467,f313])).
% 1.13/0.58 fof(f467,plain,(
% 1.13/0.58 singleton(not_subclass_element(x,null_class))=x),
% 1.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f456,f314])).
% 1.13/0.58 fof(f470,plain,(
% 1.13/0.58 $false),
% 1.13/0.58 inference(trivial_equality_resolution,[status(thm)],[f465])).
% 1.13/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.13/0.59 % Elapsed time: 0.226675 seconds
% 1.13/0.59 % CPU time: 1.465586 seconds
% 1.13/0.59 % Total memory used: 132.529 MB
% 1.13/0.59 % Net memory used: 129.604 MB
%------------------------------------------------------------------------------