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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:21:42 PM UTC 2026

% Result   : Theorem 0.09s 0.37s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n002.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 05:53:47 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.37  % Refutation found
% 0.09/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37  fof(f21,axiom,(
% 0.09/0.37    (! [A,B] :( element(B,finite_subsets(A))=> finite(B) ) )),
% 0.09/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37  fof(f31,conjecture,(
% 0.09/0.37    (! [A,B] :( element(B,finite_subsets(A))=> finite(B) ) )),
% 0.09/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37  fof(f32,negated_conjecture,(
% 0.09/0.37    ~((! [A,B] :( element(B,finite_subsets(A))=> finite(B) ) ))),
% 0.09/0.37    inference(negated_conjecture,[status(cth)],[f31])).
% 0.09/0.37  fof(f83,plain,(
% 0.09/0.37    ![A,B]: (~element(B,finite_subsets(A))|finite(B))),
% 0.09/0.37    inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.09/0.37  fof(f84,plain,(
% 0.09/0.37    ![B]: ((![A]: ~element(B,finite_subsets(A)))|finite(B))),
% 0.09/0.37    inference(miniscoping,[status(thm)],[f83])).
% 0.09/0.37  fof(f85,plain,(
% 0.09/0.37    ![X0,X1]: (~element(X0,finite_subsets(X1))|finite(X0))),
% 0.09/0.37    inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.37  fof(f127,plain,(
% 0.09/0.37    (?[A,B]: (element(B,finite_subsets(A))&~finite(B)))),
% 0.09/0.37    inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.09/0.37  fof(f128,plain,(
% 0.09/0.37    ?[B]: ((?[A]: element(B,finite_subsets(A)))&~finite(B))),
% 0.09/0.37    inference(miniscoping,[status(thm)],[f127])).
% 0.09/0.37  fof(f129,plain,(
% 0.09/0.37    (element(sK10_skl,finite_subsets(sK11_skl))&~finite(sK10_skl))),
% 0.09/0.37    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(B,sK10_skl),skolemize(A,sK11_skl)],[f128])).
% 0.09/0.37  fof(f130,plain,(
% 0.09/0.37    element(sK10_skl,finite_subsets(sK11_skl))),
% 0.09/0.37    inference(cnf_transformation,[status(thm)],[f129])).
% 0.09/0.37  fof(f131,plain,(
% 0.09/0.37    ~finite(sK10_skl)),
% 0.09/0.37    inference(cnf_transformation,[status(thm)],[f129])).
% 0.09/0.37  fof(f132,plain,(
% 0.09/0.37    finite(sK10_skl)),
% 0.09/0.37    inference(resolution,[status(thm)],[f85,f130])).
% 0.09/0.37  fof(f133,plain,(
% 0.09/0.37    $false),
% 0.09/0.37    inference(forward_subsumption_resolution,[status(thm)],[f132,f131])).
% 0.09/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41  % Elapsed time: 0.044074 seconds
% 0.14/0.41  % CPU time: 0.068981 seconds
% 0.14/0.41  % Total memory used: 5.084 MB
% 0.14/0.41  % Net memory used: 5.083 MB
%------------------------------------------------------------------------------