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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 02:22:08 PM UTC 2026

% Result   : Theorem 0.15s 5.49s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.42  % Computer : n004.cluster.edu
% 0.15/5.42  % Model    : x86_64 x86_64
% 0.15/5.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42  % Memory   : 8046.5625MB
% 0.15/5.42  % OS       : Linux 6.8.0-71-generic
% 0.15/5.42  % CPULimit : 300
% 0.15/5.42  % WCLimit  : 300
% 0.15/5.42  % DateTime : Mon Sep 21 06:03:25 UTC 2026
% 0.15/5.43  % CPUTime  : 
% 0.15/5.44  % Drodi V4.1.1
% 0.15/5.49  % Refutation found
% 0.15/5.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.49  % SZS output start CNFRefutation for theBenchmark
% 0.15/5.49  fof(f6,axiom,(
% 0.15/5.49    (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.15/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.49  fof(f31,axiom,(
% 0.15/5.49    (! [A,B,C] :( relation(C)=> ( in(A,relation_field(relation_restriction(C,B)))=> ( in(A,relation_field(C))& in(A,B) ) ) ) )),
% 0.15/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.49  fof(f34,conjecture,(
% 0.15/5.49    (! [A,B] :( relation(B)=> ( subset(relation_field(relation_restriction(B,A)),relation_field(B))& subset(relation_field(relation_restriction(B,A)),A) ) ) )),
% 0.15/5.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.49  fof(f35,negated_conjecture,(
% 0.15/5.49    ~((! [A,B] :( relation(B)=> ( subset(relation_field(relation_restriction(B,A)),relation_field(B))& subset(relation_field(relation_restriction(B,A)),A) ) ) ))),
% 0.15/5.49    inference(negated_conjecture,[status(cth)],[f34])).
% 0.15/5.49  fof(f54,plain,(
% 0.15/5.49    ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.15/5.49    inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.15/5.49  fof(f55,plain,(
% 0.15/5.49    ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.15/5.49    inference(NNF_transformation,[status(thm)],[f54])).
% 0.15/5.49  fof(f56,plain,(
% 0.15/5.49    (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.15/5.49    inference(miniscoping,[status(thm)],[f55])).
% 0.15/5.49  fof(f57,plain,(
% 0.15/5.49    (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 0.15/5.49    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f56])).
% 0.15/5.49  fof(f59,plain,(
% 0.15/5.49    ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.15/5.49    inference(cnf_transformation,[status(thm)],[f57])).
% 0.15/5.49  fof(f60,plain,(
% 0.15/5.49    ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.15/5.49    inference(cnf_transformation,[status(thm)],[f57])).
% 0.15/5.49  fof(f98,plain,(
% 0.15/5.49    ![A,B,C]: (~relation(C)|(~in(A,relation_field(relation_restriction(C,B)))|(in(A,relation_field(C))&in(A,B))))),
% 0.15/5.49    inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.15/5.49  fof(f99,plain,(
% 0.15/5.49    ![C]: (~relation(C)|(![A,B]: (~in(A,relation_field(relation_restriction(C,B)))|(in(A,relation_field(C))&in(A,B)))))),
% 0.15/5.49    inference(miniscoping,[status(thm)],[f98])).
% 0.15/5.49  fof(f100,plain,(
% 0.15/5.49    ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_field(relation_restriction(X0,X2)))|in(X1,relation_field(X0)))),
% 0.15/5.49    inference(cnf_transformation,[status(thm)],[f99])).
% 0.15/5.49  fof(f101,plain,(
% 0.15/5.49    ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_field(relation_restriction(X0,X2)))|in(X1,X2))),
% 0.15/5.49    inference(cnf_transformation,[status(thm)],[f99])).
% 0.15/5.49  fof(f105,plain,(
% 0.15/5.49    (?[A,B]: (relation(B)&(~subset(relation_field(relation_restriction(B,A)),relation_field(B))|~subset(relation_field(relation_restriction(B,A)),A))))),
% 0.15/5.49    inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.15/5.49  fof(f106,plain,(
% 0.15/5.49    ?[B]: (relation(B)&((?[A]: ~subset(relation_field(relation_restriction(B,A)),relation_field(B)))|(?[A]: ~subset(relation_field(relation_restriction(B,A)),A))))),
% 0.15/5.49    inference(miniscoping,[status(thm)],[f105])).
% 0.15/5.49  fof(f107,plain,(
% 0.15/5.49    (relation(sK7_skl)&(~subset(relation_field(relation_restriction(sK7_skl,sK8_skl)),relation_field(sK7_skl))|~subset(relation_field(relation_restriction(sK7_skl,sK9_skl)),sK9_skl)))),
% 0.15/5.49    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(B,sK7_skl),skolemize(A,sK8_skl),skolemize(A,sK9_skl)],[f106])).
% 0.15/5.49  fof(f108,plain,(
% 0.15/5.49    relation(sK7_skl)),
% 0.15/5.49    inference(cnf_transformation,[status(thm)],[f107])).
% 0.15/5.49  fof(f109,plain,(
% 0.15/5.49    ~subset(relation_field(relation_restriction(sK7_skl,sK8_skl)),relation_field(sK7_skl))|~subset(relation_field(relation_restriction(sK7_skl,sK9_skl)),sK9_skl)),
% 0.15/5.49    inference(cnf_transformation,[status(thm)],[f107])).
% 0.15/5.49  fof(f141,plain,(
% 0.15/5.49    ![X0,X1,X2]: (subset(relation_field(relation_restriction(X0,X1)),X2)|~relation(X0)|in(sK0_skl(X2,relation_field(relation_restriction(X0,X1))),X1))),
% 0.15/5.49    inference(resolution,[status(thm)],[f59,f101])).
% 0.15/5.49  fof(f142,plain,(
% 0.15/5.49    ![X0,X1,X2]: (subset(relation_field(relation_restriction(X0,X1)),X2)|~relation(X0)|in(sK0_skl(X2,relation_field(relation_restriction(X0,X1))),relation_field(X0)))),
% 0.20/5.51    inference(resolution,[status(thm)],[f59,f100])).
% 0.20/5.51  fof(f151,plain,(
% 0.20/5.51    ![X0,X1]: (subset(relation_field(relation_restriction(sK7_skl,X0)),X1)|in(sK0_skl(X1,relation_field(relation_restriction(sK7_skl,X0))),X0))),
% 0.20/5.51    inference(resolution,[status(thm)],[f141,f108])).
% 0.20/5.51  fof(f152,plain,(
% 0.20/5.51    ![X0]: (subset(relation_field(relation_restriction(sK7_skl,X0)),X0)|subset(relation_field(relation_restriction(sK7_skl,X0)),X0))),
% 0.20/5.51    inference(resolution,[status(thm)],[f151,f60])).
% 0.20/5.51  fof(f156,plain,(
% 0.20/5.51    ![X0]: (subset(relation_field(relation_restriction(sK7_skl,X0)),X0))),
% 0.20/5.51    inference(duplicate_literals_removal,[status(thm)],[f152])).
% 0.20/5.51  fof(f157,plain,(
% 0.20/5.51    ~subset(relation_field(relation_restriction(sK7_skl,sK8_skl)),relation_field(sK7_skl))),
% 0.20/5.51    inference(backward_subsumption_resolution,[status(thm)],[f109,f156])).
% 0.20/5.51  fof(f161,plain,(
% 0.20/5.51    ![X0,X1]: (subset(relation_field(relation_restriction(sK7_skl,X0)),X1)|in(sK0_skl(X1,relation_field(relation_restriction(sK7_skl,X0))),relation_field(sK7_skl)))),
% 0.20/5.51    inference(resolution,[status(thm)],[f142,f108])).
% 0.20/5.51  fof(f190,plain,(
% 0.20/5.51    ![X0]: (subset(relation_field(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl))|subset(relation_field(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl)))),
% 0.20/5.51    inference(resolution,[status(thm)],[f161,f60])).
% 0.20/5.51  fof(f192,plain,(
% 0.20/5.51    ![X0]: (subset(relation_field(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl)))),
% 0.20/5.51    inference(duplicate_literals_removal,[status(thm)],[f190])).
% 0.20/5.51  fof(f234,plain,(
% 0.20/5.51    $false),
% 0.20/5.51    inference(backward_subsumption_resolution,[status(thm)],[f157,f192])).
% 0.20/5.51  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/5.55  % Elapsed time: 0.120766 seconds
% 0.20/5.55  % CPU time: 0.180289 seconds
% 0.20/5.55  % Total memory used: 39.392 MB
% 0.20/5.55  % Net memory used: 39.323 MB
%------------------------------------------------------------------------------