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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU295+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 02:22:15 PM UTC 2026

% Result   : Theorem 0.10s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU295+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n001.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 06:14:29 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.10/0.39  % Refutation found
% 0.10/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39  fof(f13,axiom,(
% 0.10/0.39    (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.10/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39  fof(f15,axiom,(
% 0.10/0.39    (! [A,B] :( finite(B)=> finite(set_intersection2(A,B)) ) )),
% 0.10/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39  fof(f52,conjecture,(
% 0.10/0.39    (! [A,B] :( finite(A)=> finite(set_intersection2(A,B)) ) )),
% 0.10/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39  fof(f53,negated_conjecture,(
% 0.10/0.39    ~((! [A,B] :( finite(A)=> finite(set_intersection2(A,B)) ) ))),
% 0.10/0.39    inference(negated_conjecture,[status(cth)],[f52])).
% 0.10/0.39  fof(f101,plain,(
% 0.10/0.39    ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.10/0.39    inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.39  fof(f104,plain,(
% 0.10/0.39    ![A,B]: (~finite(B)|finite(set_intersection2(A,B)))),
% 0.10/0.39    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.10/0.39  fof(f105,plain,(
% 0.10/0.39    ![B]: (~finite(B)|(![A]: finite(set_intersection2(A,B))))),
% 0.10/0.39    inference(miniscoping,[status(thm)],[f104])).
% 0.10/0.39  fof(f106,plain,(
% 0.10/0.39    ![X0,X1]: (~finite(X0)|finite(set_intersection2(X1,X0)))),
% 0.10/0.39    inference(cnf_transformation,[status(thm)],[f105])).
% 0.10/0.39  fof(f247,plain,(
% 0.10/0.39    (?[A,B]: (finite(A)&~finite(set_intersection2(A,B))))),
% 0.10/0.39    inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.10/0.39  fof(f248,plain,(
% 0.10/0.39    ?[A]: (finite(A)&(?[B]: ~finite(set_intersection2(A,B))))),
% 0.10/0.39    inference(miniscoping,[status(thm)],[f247])).
% 0.10/0.39  fof(f249,plain,(
% 0.10/0.39    (finite(sK26_skl)&~finite(set_intersection2(sK26_skl,sK27_skl)))),
% 0.10/0.39    inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl]),skolemize(A,sK26_skl),skolemize(B,sK27_skl)],[f248])).
% 0.10/0.39  fof(f250,plain,(
% 0.10/0.39    finite(sK26_skl)),
% 0.10/0.39    inference(cnf_transformation,[status(thm)],[f249])).
% 0.10/0.39  fof(f251,plain,(
% 0.10/0.39    ~finite(set_intersection2(sK26_skl,sK27_skl))),
% 0.10/0.39    inference(cnf_transformation,[status(thm)],[f249])).
% 0.10/0.39  fof(f282,plain,(
% 0.10/0.39    ~finite(set_intersection2(sK27_skl,sK26_skl))),
% 0.10/0.39    inference(paramodulation,[status(thm)],[f101,f251])).
% 0.10/0.39  fof(f298,plain,(
% 0.10/0.39    ![X0]: (finite(set_intersection2(X0,sK26_skl)))),
% 0.10/0.39    inference(resolution,[status(thm)],[f106,f250])).
% 0.10/0.39  fof(f300,plain,(
% 0.10/0.39    $false),
% 0.10/0.39    inference(backward_subsumption_resolution,[status(thm)],[f282,f298])).
% 0.10/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43  % Elapsed time: 0.051282 seconds
% 0.10/0.43  % CPU time: 0.149940 seconds
% 0.10/0.43  % Total memory used: 105.647 MB
% 0.10/0.43  % Net memory used: 105.617 MB
%------------------------------------------------------------------------------