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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU295+1 : 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 : 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 0.14s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU295+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n001.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 06:14:15 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.14/0.38  % Drodi V4.1.1
% 0.14/0.40  % Refutation found
% 0.14/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40  fof(f12,axiom,(
% 0.14/0.40    (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f18,axiom,(
% 0.14/0.40    (! [A,B] :( finite(B)=> finite(set_intersection2(A,B)) ) )),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f47,conjecture,(
% 0.14/0.40    (! [A,B] :( finite(A)=> finite(set_intersection2(A,B)) ) )),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f48,negated_conjecture,(
% 0.14/0.40    ~((! [A,B] :( finite(A)=> finite(set_intersection2(A,B)) ) ))),
% 0.14/0.40    inference(negated_conjecture,[status(cth)],[f47])).
% 0.14/0.40  fof(f91,plain,(
% 0.14/0.40    ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40  fof(f94,plain,(
% 0.14/0.40    ![A,B]: (~finite(B)|finite(set_intersection2(A,B)))),
% 0.14/0.40    inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.14/0.40  fof(f95,plain,(
% 0.14/0.40    ![B]: (~finite(B)|(![A]: finite(set_intersection2(A,B))))),
% 0.14/0.40    inference(miniscoping,[status(thm)],[f94])).
% 0.14/0.40  fof(f96,plain,(
% 0.14/0.40    ![X0,X1]: (~finite(X0)|finite(set_intersection2(X1,X0)))),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f95])).
% 0.14/0.40  fof(f201,plain,(
% 0.14/0.40    (?[A,B]: (finite(A)&~finite(set_intersection2(A,B))))),
% 0.14/0.40    inference(pre_NNF_transformation,[status(thm)],[f48])).
% 0.14/0.40  fof(f202,plain,(
% 0.14/0.40    ?[A]: (finite(A)&(?[B]: ~finite(set_intersection2(A,B))))),
% 0.14/0.40    inference(miniscoping,[status(thm)],[f201])).
% 0.14/0.40  fof(f203,plain,(
% 0.14/0.40    (finite(sK19_skl)&~finite(set_intersection2(sK19_skl,sK20_skl)))),
% 0.14/0.40    inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(A,sK19_skl),skolemize(B,sK20_skl)],[f202])).
% 0.14/0.40  fof(f204,plain,(
% 0.14/0.40    finite(sK19_skl)),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f203])).
% 0.14/0.40  fof(f205,plain,(
% 0.14/0.40    ~finite(set_intersection2(sK19_skl,sK20_skl))),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f203])).
% 0.14/0.40  fof(f238,plain,(
% 0.14/0.40    ~finite(set_intersection2(sK20_skl,sK19_skl))),
% 0.14/0.40    inference(paramodulation,[status(thm)],[f91,f205])).
% 0.14/0.40  fof(f250,plain,(
% 0.14/0.40    ![X0]: (finite(set_intersection2(X0,sK19_skl)))),
% 0.14/0.40    inference(resolution,[status(thm)],[f96,f204])).
% 0.14/0.40  fof(f252,plain,(
% 0.14/0.40    $false),
% 0.14/0.40    inference(backward_subsumption_resolution,[status(thm)],[f238,f250])).
% 0.14/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42  % Elapsed time: 0.048166 seconds
% 0.14/0.42  % CPU time: 0.133092 seconds
% 0.14/0.42  % Total memory used: 81.669 MB
% 0.14/0.42  % Net memory used: 81.644 MB
%------------------------------------------------------------------------------