%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET151-6 : 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 : n007.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 02:11:40 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET151-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:54:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.46 % Refutation found
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.46 fof(f1,axiom,(
% 0.10/0.46 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f2,axiom,(
% 0.10/0.46 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f3,axiom,(
% 0.10/0.46 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f4,axiom,(
% 0.10/0.46 (![X]: (subclass(X,universal_class) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f7,axiom,(
% 0.10/0.46 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f24,axiom,(
% 0.10/0.46 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f25,axiom,(
% 0.10/0.46 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f66,axiom,(
% 0.10/0.46 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f113,negated_conjecture,(
% 0.10/0.46 complement(null_class) != universal_class ),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f114,plain,(
% 0.10/0.46 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.10/0.46 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.46 fof(f115,plain,(
% 0.10/0.46 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f114])).
% 0.10/0.46 fof(f116,plain,(
% 0.10/0.46 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.46 fof(f117,plain,(
% 0.10/0.46 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.46 fof(f118,plain,(
% 0.10/0.46 ![X0]: (subclass(X0,universal_class))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.46 fof(f121,plain,(
% 0.10/0.46 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.46 fof(f146,plain,(
% 0.10/0.46 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.46 fof(f147,plain,(
% 0.10/0.46 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.46 fof(f188,plain,(
% 0.10/0.46 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f66])).
% 0.10/0.46 fof(f245,plain,(
% 0.10/0.46 ~complement(null_class)=universal_class),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f113])).
% 0.10/0.46 fof(f249,plain,(
% 0.10/0.46 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.10/0.46 inference(resolution,[status(thm)],[f118,f115])).
% 0.10/0.46 fof(f256,plain,(
% 0.10/0.46 ![X0,X1]: (subclass(universal_class,X0)|member(not_subclass_element(universal_class,X0),complement(X1))|member(not_subclass_element(universal_class,X0),X1))),
% 0.10/0.46 inference(resolution,[status(thm)],[f116,f147])).
% 0.10/0.46 fof(f269,plain,(
% 0.10/0.46 ![X0]: (subclass(universal_class,complement(X0))|subclass(universal_class,complement(X0))|member(not_subclass_element(universal_class,complement(X0)),X0))),
% 0.10/0.46 inference(resolution,[status(thm)],[f117,f256])).
% 0.10/0.46 fof(f271,plain,(
% 0.10/0.46 ![X0]: (subclass(universal_class,complement(X0))|member(not_subclass_element(universal_class,complement(X0)),X0))),
% 0.10/0.46 inference(duplicate_literals_removal,[status(thm)],[f269])).
% 0.10/0.46 fof(f290,plain,(
% 0.10/0.46 ![X0]: (subclass(universal_class,complement(complement(X0)))|~member(not_subclass_element(universal_class,complement(complement(X0))),X0))),
% 0.10/0.46 inference(resolution,[status(thm)],[f271,f146])).
% 0.10/0.46 fof(f299,plain,(
% 0.10/0.46 subclass(universal_class,complement(complement(universal_class)))|subclass(universal_class,complement(complement(universal_class)))),
% 0.10/0.46 inference(resolution,[status(thm)],[f290,f116])).
% 0.10/0.46 fof(f301,plain,(
% 0.10/0.46 subclass(universal_class,complement(complement(universal_class)))),
% 0.10/0.46 inference(duplicate_literals_removal,[status(thm)],[f299])).
% 0.10/0.46 fof(f302,plain,(
% 0.10/0.46 ~subclass(complement(complement(universal_class)),universal_class)|complement(complement(universal_class))=universal_class),
% 0.10/0.47 inference(resolution,[status(thm)],[f301,f121])).
% 0.10/0.47 fof(f305,plain,(
% 0.10/0.47 complement(complement(universal_class))=universal_class),
% 0.10/0.47 inference(forward_subsumption_resolution,[status(thm)],[f302,f118])).
% 0.10/0.47 fof(f351,plain,(
% 0.10/0.47 ![X0]: (complement(X0)=null_class|~member(regular(complement(X0)),X0))),
% 0.10/0.47 inference(resolution,[status(thm)],[f188,f146])).
% 0.10/0.47 fof(f353,plain,(
% 0.10/0.47 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 0.10/0.47 inference(resolution,[status(thm)],[f249,f188])).
% 0.10/0.47 fof(f486,plain,(
% 0.10/0.47 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 0.10/0.47 inference(resolution,[status(thm)],[f353,f351])).
% 0.10/0.47 fof(f492,plain,(
% 0.10/0.47 complement(universal_class)=null_class),
% 0.10/0.47 inference(duplicate_literals_removal,[status(thm)],[f486])).
% 0.10/0.47 fof(f573,plain,(
% 0.10/0.47 complement(null_class)=universal_class),
% 0.10/0.47 inference(backward_demodulation,[status(thm)],[f492,f305])).
% 0.10/0.47 fof(f592,plain,(
% 0.10/0.47 $false),
% 0.10/0.47 inference(forward_subsumption_resolution,[status(thm)],[f573,f245])).
% 0.10/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.48 % Elapsed time: 0.104634 seconds
% 0.10/0.48 % CPU time: 0.590624 seconds
% 0.10/0.48 % Total memory used: 112.671 MB
% 0.10/0.48 % Net memory used: 112.007 MB
%------------------------------------------------------------------------------