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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET150-6 : 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 : n002.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 0.96s 0.67s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET150-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n002.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 04:59:47 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.39  % Drodi V4.1.1
% 0.96/0.67  % Refutation found
% 0.96/0.67  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.96/0.67  % SZS output start CNFRefutation for theBenchmark
% 0.96/0.67  fof(f1,axiom,(
% 0.96/0.67    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.96/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.67  fof(f2,axiom,(
% 0.96/0.67    (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.96/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.67  fof(f3,axiom,(
% 0.96/0.67    (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.96/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.67  fof(f4,axiom,(
% 0.96/0.67    (![X]: (subclass(X,universal_class) ))),
% 0.96/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.67  fof(f7,axiom,(
% 0.96/0.67    (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.96/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.67  fof(f24,axiom,(
% 0.96/0.67    (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.96/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.67  fof(f25,axiom,(
% 0.96/0.67    (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.96/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.67  fof(f113,negated_conjecture,(
% 0.96/0.67    complement(complement(x)) != x ),
% 0.96/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.67  fof(f114,plain,(
% 0.96/0.67    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.96/0.67    inference(miniscoping,[status(thm)],[f1])).
% 0.96/0.67  fof(f115,plain,(
% 0.96/0.67    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.96/0.67    inference(cnf_transformation,[status(thm)],[f114])).
% 0.96/0.67  fof(f116,plain,(
% 0.96/0.67    ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.96/0.67    inference(cnf_transformation,[status(thm)],[f2])).
% 0.96/0.67  fof(f117,plain,(
% 0.96/0.67    ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.96/0.67    inference(cnf_transformation,[status(thm)],[f3])).
% 0.96/0.67  fof(f118,plain,(
% 0.96/0.67    ![X0]: (subclass(X0,universal_class))),
% 0.96/0.67    inference(cnf_transformation,[status(thm)],[f4])).
% 0.96/0.67  fof(f121,plain,(
% 0.96/0.67    ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.96/0.67    inference(cnf_transformation,[status(thm)],[f7])).
% 0.96/0.67  fof(f146,plain,(
% 0.96/0.67    ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.96/0.67    inference(cnf_transformation,[status(thm)],[f24])).
% 0.96/0.67  fof(f147,plain,(
% 0.96/0.67    ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.96/0.67    inference(cnf_transformation,[status(thm)],[f25])).
% 0.96/0.67  fof(f245,plain,(
% 0.96/0.67    ~complement(complement(x))=x),
% 0.96/0.67    inference(cnf_transformation,[status(thm)],[f113])).
% 0.96/0.67  fof(f254,plain,(
% 0.96/0.67    ![X0,X1]: (subclass(complement(X0),X1)|~member(not_subclass_element(complement(X0),X1),X0))),
% 0.96/0.67    inference(resolution,[status(thm)],[f116,f146])).
% 0.96/0.67  fof(f255,plain,(
% 0.96/0.67    ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 0.96/0.67    inference(resolution,[status(thm)],[f116,f115])).
% 0.96/0.67  fof(f293,plain,(
% 0.96/0.67    ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),universal_class))),
% 0.96/0.67    inference(resolution,[status(thm)],[f118,f255])).
% 0.96/0.67  fof(f298,plain,(
% 0.96/0.67    ![X0,X1,X2]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),complement(X2))|member(not_subclass_element(X0,X1),X2))),
% 0.96/0.67    inference(resolution,[status(thm)],[f293,f147])).
% 0.96/0.67  fof(f304,plain,(
% 0.96/0.67    ![X0,X1]: (subclass(complement(complement(X0)),X1)|member(not_subclass_element(complement(complement(X0)),X1),X0)|subclass(complement(complement(X0)),X1))),
% 0.96/0.67    inference(resolution,[status(thm)],[f298,f254])).
% 0.96/0.67  fof(f305,plain,(
% 0.96/0.67    ![X0,X1]: (subclass(X0,complement(X1))|member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1)))),
% 0.96/0.67    inference(resolution,[status(thm)],[f298,f117])).
% 0.96/0.67  fof(f309,plain,(
% 0.96/0.67    ![X0,X1]: (subclass(complement(complement(X0)),X1)|member(not_subclass_element(complement(complement(X0)),X1),X0))),
% 0.96/0.67    inference(duplicate_literals_removal,[status(thm)],[f304])).
% 0.96/0.67  fof(f310,plain,(
% 0.96/0.67    ![X0,X1]: (subclass(X0,complement(X1))|member(not_subclass_element(X0,complement(X1)),X1))),
% 0.96/0.67    inference(duplicate_literals_removal,[status(thm)],[f305])).
% 0.96/0.67  fof(f510,plain,(
% 0.96/0.67    ![X0,X1]: (subclass(X0,complement(complement(X1)))|~member(not_subclass_element(X0,complement(complement(X1))),X1))),
% 0.96/0.67    inference(resolution,[status(thm)],[f310,f146])).
% 0.96/0.68  fof(f562,plain,(
% 0.96/0.68    ![X0]: (subclass(complement(complement(X0)),X0)|subclass(complement(complement(X0)),X0))),
% 0.96/0.68    inference(resolution,[status(thm)],[f309,f117])).
% 0.96/0.68  fof(f570,plain,(
% 0.96/0.68    ![X0]: (subclass(complement(complement(X0)),X0))),
% 0.96/0.68    inference(duplicate_literals_removal,[status(thm)],[f562])).
% 0.96/0.68  fof(f581,plain,(
% 0.96/0.68    ![X0]: (~subclass(X0,complement(complement(X0)))|X0=complement(complement(X0)))),
% 0.96/0.68    inference(resolution,[status(thm)],[f570,f121])).
% 0.96/0.68  fof(f605,plain,(
% 0.96/0.68    ![X0]: (subclass(X0,complement(complement(X0)))|subclass(X0,complement(complement(X0))))),
% 0.96/0.68    inference(resolution,[status(thm)],[f510,f116])).
% 0.96/0.68  fof(f613,plain,(
% 0.96/0.68    ![X0]: (subclass(X0,complement(complement(X0))))),
% 0.96/0.68    inference(duplicate_literals_removal,[status(thm)],[f605])).
% 0.96/0.68  fof(f636,plain,(
% 0.96/0.68    ![X0]: (X0=complement(complement(X0)))),
% 0.96/0.68    inference(backward_subsumption_resolution,[status(thm)],[f581,f613])).
% 0.96/0.68  fof(f697,plain,(
% 0.96/0.68    ~x=x),
% 0.96/0.68    inference(backward_demodulation,[status(thm)],[f636,f245])).
% 0.96/0.68  fof(f721,plain,(
% 0.96/0.68    $false),
% 0.96/0.68    inference(trivial_equality_resolution,[status(thm)],[f697])).
% 0.96/0.68  % SZS output end CNFRefutation for theBenchmark.p
% 0.96/0.72  % Elapsed time: 0.324163 seconds
% 0.96/0.72  % CPU time: 2.234035 seconds
% 0.96/0.72  % Total memory used: 136.421 MB
% 0.96/0.72  % Net memory used: 132.873 MB
%------------------------------------------------------------------------------