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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n020.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 0.15s 0.44s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n020.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % 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 06:09:49 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.15/0.41  % Drodi V4.1.1
% 0.15/0.44  % Refutation found
% 0.15/0.44  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.44  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.44  fof(f130,axiom,(
% 0.15/0.44    (! [A,B] :( finite(A)=> finite(set_intersection2(A,B)) ) )),
% 0.15/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.44  fof(f261,conjecture,(
% 0.15/0.44    (! [A,B] :( finite(A)=> finite(set_intersection2(A,B)) ) )),
% 0.15/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.44  fof(f262,negated_conjecture,(
% 0.15/0.44    ~((! [A,B] :( finite(A)=> finite(set_intersection2(A,B)) ) ))),
% 0.15/0.44    inference(negated_conjecture,[status(cth)],[f261])).
% 0.15/0.44  fof(f972,plain,(
% 0.15/0.44    ![A,B]: (~finite(A)|finite(set_intersection2(A,B)))),
% 0.15/0.44    inference(pre_NNF_transformation,[status(thm)],[f130])).
% 0.15/0.44  fof(f973,plain,(
% 0.15/0.44    ![A]: (~finite(A)|(![B]: finite(set_intersection2(A,B))))),
% 0.15/0.44    inference(miniscoping,[status(thm)],[f972])).
% 0.15/0.44  fof(f974,plain,(
% 0.15/0.44    ![X0,X1]: (~finite(X0)|finite(set_intersection2(X0,X1)))),
% 0.15/0.44    inference(cnf_transformation,[status(thm)],[f973])).
% 0.15/0.44  fof(f1540,plain,(
% 0.15/0.44    (?[A,B]: (finite(A)&~finite(set_intersection2(A,B))))),
% 0.15/0.44    inference(pre_NNF_transformation,[status(thm)],[f262])).
% 0.15/0.44  fof(f1541,plain,(
% 0.15/0.44    ?[A]: (finite(A)&(?[B]: ~finite(set_intersection2(A,B))))),
% 0.15/0.44    inference(miniscoping,[status(thm)],[f1540])).
% 0.15/0.44  fof(f1542,plain,(
% 0.15/0.44    (finite(sK201_skl)&~finite(set_intersection2(sK201_skl,sK202_skl)))),
% 0.15/0.44    inference(skolemize,[status(esa),new_symbols(skolem,[sK201_skl,sK202_skl]),skolemize(A,sK201_skl),skolemize(B,sK202_skl)],[f1541])).
% 0.15/0.44  fof(f1543,plain,(
% 0.15/0.44    finite(sK201_skl)),
% 0.15/0.44    inference(cnf_transformation,[status(thm)],[f1542])).
% 0.15/0.44  fof(f1544,plain,(
% 0.15/0.44    ~finite(set_intersection2(sK201_skl,sK202_skl))),
% 0.15/0.44    inference(cnf_transformation,[status(thm)],[f1542])).
% 0.15/0.44  fof(f2394,plain,(
% 0.15/0.44    ![X0]: (finite(set_intersection2(sK201_skl,X0)))),
% 0.15/0.44    inference(resolution,[status(thm)],[f974,f1543])).
% 0.15/0.44  fof(f2410,plain,(
% 0.15/0.44    $false),
% 0.15/0.44    inference(backward_subsumption_resolution,[status(thm)],[f1544,f2394])).
% 0.15/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49  % Elapsed time: 0.105696 seconds
% 0.15/0.49  % CPU time: 0.216769 seconds
% 0.15/0.49  % Total memory used: 84.917 MB
% 0.15/0.49  % Net memory used: 84.507 MB
%------------------------------------------------------------------------------