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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU134+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 : n005.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 02:21:45 PM UTC 2026

% Result   : Theorem 0.12s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU134+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % Computer : n005.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep 21 05:52:03 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.38  % Drodi V4.1.1
% 0.12/0.41  % Refutation found
% 0.12/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41  fof(f20,lemma,(
% 0.12/0.41    (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.12/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41  fof(f37,conjecture,(
% 0.12/0.41    (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.12/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41  fof(f38,negated_conjecture,(
% 0.12/0.41    ~((! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) ))),
% 0.12/0.41    inference(negated_conjecture,[status(cth)],[f37])).
% 0.12/0.41  fof(f112,plain,(
% 0.12/0.41    ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.12/0.41    inference(NNF_transformation,[status(thm)],[f20])).
% 0.12/0.41  fof(f113,plain,(
% 0.12/0.41    (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.12/0.41    inference(miniscoping,[status(thm)],[f112])).
% 0.12/0.41  fof(f114,plain,(
% 0.12/0.41    ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 0.12/0.41    inference(cnf_transformation,[status(thm)],[f113])).
% 0.12/0.41  fof(f115,plain,(
% 0.12/0.41    ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.12/0.41    inference(cnf_transformation,[status(thm)],[f113])).
% 0.12/0.41  fof(f149,plain,(
% 0.12/0.41    (?[A,B]: (set_difference(A,B)=empty_set<~>subset(A,B)))),
% 0.12/0.41    inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.12/0.41  fof(f150,plain,(
% 0.12/0.41    ?[A,B]: ((set_difference(A,B)=empty_set|subset(A,B))&(~set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.12/0.41    inference(NNF_transformation,[status(thm)],[f149])).
% 0.12/0.41  fof(f151,plain,(
% 0.12/0.41    ((set_difference(sK8_skl,sK9_skl)=empty_set|subset(sK8_skl,sK9_skl))&(~set_difference(sK8_skl,sK9_skl)=empty_set|~subset(sK8_skl,sK9_skl)))),
% 0.12/0.41    inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl)],[f150])).
% 0.12/0.41  fof(f152,plain,(
% 0.12/0.41    set_difference(sK8_skl,sK9_skl)=empty_set|subset(sK8_skl,sK9_skl)),
% 0.12/0.41    inference(cnf_transformation,[status(thm)],[f151])).
% 0.12/0.41  fof(f153,plain,(
% 0.12/0.41    ~set_difference(sK8_skl,sK9_skl)=empty_set|~subset(sK8_skl,sK9_skl)),
% 0.12/0.41    inference(cnf_transformation,[status(thm)],[f151])).
% 0.12/0.41  fof(f192,plain,(
% 0.12/0.41    subset(sK8_skl,sK9_skl)),
% 0.12/0.41    inference(forward_subsumption_resolution,[status(thm)],[f152,f114])).
% 0.12/0.41  fof(f194,plain,(
% 0.12/0.41    ~subset(sK8_skl,sK9_skl)),
% 0.12/0.41    inference(forward_subsumption_resolution,[status(thm)],[f153,f115])).
% 0.12/0.41  fof(f195,plain,(
% 0.12/0.41    $false),
% 0.12/0.41    inference(backward_subsumption_resolution,[status(thm)],[f192,f194])).
% 0.12/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.47  % Elapsed time: 0.083002 seconds
% 0.16/0.47  % CPU time: 0.132209 seconds
% 0.16/0.47  % Total memory used: 26.119 MB
% 0.16/0.47  % Net memory used: 26.074 MB
%------------------------------------------------------------------------------