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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : NUM183-1 : 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 : n016.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 01:42:20 PM UTC 2026

% Result   : Unsatisfiable 0.22s 0.75s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : NUM183-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.68  % Computer : n016.cluster.edu
% 0.16/0.68  % Model    : x86_64 x86_64
% 0.16/0.68  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.68  % Memory   : 8046.5625MB
% 0.16/0.68  % OS       : Linux 6.8.0-71-generic
% 0.16/0.68  % CPULimit : 300
% 0.16/0.68  % WCLimit  : 300
% 0.16/0.68  % DateTime : Mon Sep 21 02:15:25 UTC 2026
% 0.16/0.68  % CPUTime  : 
% 0.22/0.71  % Drodi V4.1.1
% 0.22/0.75  % Refutation found
% 0.22/0.75  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.75  % SZS output start CNFRefutation for theBenchmark
% 0.22/0.75  fof(f1,axiom,(
% 0.22/0.75    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.22/0.75    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.75  fof(f4,axiom,(
% 0.22/0.75    (![X]: (subclass(X,universal_class) ))),
% 0.22/0.75    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.75  fof(f23,axiom,(
% 0.22/0.75    (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.22/0.75    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.75  fof(f25,axiom,(
% 0.22/0.75    (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.22/0.75    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.75  fof(f139,axiom,(
% 0.22/0.75    intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals ),
% 0.22/0.75    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.75  fof(f159,negated_conjecture,(
% 0.22/0.75    member(x,ordinal_numbers) ),
% 0.22/0.75    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.75  fof(f160,negated_conjecture,(
% 0.22/0.75    ~ member(x,kind_1_ordinals) ),
% 0.22/0.75    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.75  fof(f161,negated_conjecture,(
% 0.22/0.75    ~ member(x,limit_ordinals) ),
% 0.22/0.75    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.75  fof(f162,plain,(
% 0.22/0.75    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.22/0.75    inference(miniscoping,[status(thm)],[f1])).
% 0.22/0.75  fof(f163,plain,(
% 0.22/0.75    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.22/0.75    inference(cnf_transformation,[status(thm)],[f162])).
% 0.22/0.75  fof(f166,plain,(
% 0.22/0.75    ![X0]: (subclass(X0,universal_class))),
% 0.22/0.75    inference(cnf_transformation,[status(thm)],[f4])).
% 0.22/0.75  fof(f193,plain,(
% 0.22/0.75    ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.22/0.75    inference(cnf_transformation,[status(thm)],[f23])).
% 0.22/0.75  fof(f195,plain,(
% 0.22/0.75    ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.22/0.75    inference(cnf_transformation,[status(thm)],[f25])).
% 0.22/0.75  fof(f325,plain,(
% 0.22/0.75    intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals),
% 0.22/0.75    inference(cnf_transformation,[status(thm)],[f139])).
% 0.22/0.75  fof(f349,plain,(
% 0.22/0.75    member(x,ordinal_numbers)),
% 0.22/0.75    inference(cnf_transformation,[status(thm)],[f159])).
% 0.22/0.75  fof(f350,plain,(
% 0.22/0.75    ~member(x,kind_1_ordinals)),
% 0.22/0.75    inference(cnf_transformation,[status(thm)],[f160])).
% 0.22/0.75  fof(f351,plain,(
% 0.22/0.75    ~member(x,limit_ordinals)),
% 0.22/0.75    inference(cnf_transformation,[status(thm)],[f161])).
% 0.22/0.75  fof(f362,plain,(
% 0.22/0.75    ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.22/0.75    inference(resolution,[status(thm)],[f163,f166])).
% 0.22/0.75  fof(f476,plain,(
% 0.22/0.75    ![X0]: (~member(X0,complement(kind_1_ordinals))|~member(X0,ordinal_numbers)|member(X0,limit_ordinals))),
% 0.22/0.75    inference(paramodulation,[status(thm)],[f325,f193])).
% 0.22/0.75  fof(f491,plain,(
% 0.22/0.75    ![X0]: (~member(X0,universal_class)|member(X0,kind_1_ordinals)|~member(X0,ordinal_numbers)|member(X0,limit_ordinals))),
% 0.22/0.75    inference(resolution,[status(thm)],[f195,f476])).
% 0.22/0.75  fof(f493,plain,(
% 0.22/0.75    ![X0]: (member(X0,kind_1_ordinals)|~member(X0,ordinal_numbers)|member(X0,limit_ordinals))),
% 0.22/0.75    inference(forward_subsumption_resolution,[status(thm)],[f491,f362])).
% 0.22/0.75  fof(f497,plain,(
% 0.22/0.75    member(x,kind_1_ordinals)|member(x,limit_ordinals)),
% 0.22/0.75    inference(resolution,[status(thm)],[f493,f349])).
% 0.22/0.75  fof(f500,plain,(
% 0.22/0.75    member(x,limit_ordinals)),
% 0.22/0.75    inference(forward_subsumption_resolution,[status(thm)],[f497,f350])).
% 0.22/0.75  fof(f501,plain,(
% 0.22/0.75    $false),
% 0.22/0.75    inference(backward_subsumption_resolution,[status(thm)],[f351,f500])).
% 0.22/0.75  % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.81  % Elapsed time: 0.113154 seconds
% 0.22/0.81  % CPU time: 0.211905 seconds
% 0.22/0.81  % Total memory used: 38.460 MB
% 0.22/0.81  % Net memory used: 38.363 MB
%------------------------------------------------------------------------------