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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC349+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:42:13 PM UTC 2026

% Result   : Theorem 0.23s 0.52s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC349+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  % Computer : n005.cluster.edu
% 0.19/0.46  % Model    : x86_64 x86_64
% 0.19/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46  % Memory   : 8046.5625MB
% 0.19/0.46  % OS       : Linux 6.8.0-71-generic
% 0.19/0.46  % CPULimit : 300
% 0.19/0.46  % WCLimit  : 300
% 0.19/0.46  % DateTime : Mon Sep 21 08:17:32 UTC 2026
% 0.19/0.47  % CPUTime  : 
% 0.19/0.49  % Drodi V4.1.1
% 0.23/0.52  % Refutation found
% 0.23/0.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.52  % SZS output start CNFRefutation for theBenchmark
% 0.23/0.52  fof(f45,axiom,(
% 0.23/0.52    (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.23/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52  fof(f96,conjecture,(
% 0.23/0.52    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != W| V != X| U != W| ~ neq(V,nil)| frontsegP(V,U) ) ) )) )) )) )),
% 0.23/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52  fof(f97,negated_conjecture,(
% 0.23/0.52    ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != W| V != X| U != W| ~ neq(V,nil)| frontsegP(V,U) ) ) )) )) )) ))),
% 0.23/0.52    inference(negated_conjecture,[status(cth)],[f96])).
% 0.23/0.52  fof(f294,plain,(
% 0.23/0.52    ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.23/0.52    inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.23/0.52  fof(f295,plain,(
% 0.23/0.52    ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.23/0.52    inference(cnf_transformation,[status(thm)],[f294])).
% 0.23/0.52  fof(f415,plain,(
% 0.23/0.52    (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((nil=W&V=X)&U=W)&neq(V,nil))&~frontsegP(V,U))))))))))),
% 0.23/0.52    inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.23/0.52  fof(f416,plain,(
% 0.23/0.52    (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((nil=sK49_skl&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&~frontsegP(sK48_skl,sK47_skl))))))),
% 0.23/0.52    inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f415])).
% 0.23/0.52  fof(f420,plain,(
% 0.23/0.52    ssList(sK50_skl)),
% 0.23/0.52    inference(cnf_transformation,[status(thm)],[f416])).
% 0.23/0.52  fof(f421,plain,(
% 0.23/0.52    nil=sK49_skl),
% 0.23/0.52    inference(cnf_transformation,[status(thm)],[f416])).
% 0.23/0.52  fof(f422,plain,(
% 0.23/0.52    sK48_skl=sK50_skl),
% 0.23/0.52    inference(cnf_transformation,[status(thm)],[f416])).
% 0.23/0.52  fof(f423,plain,(
% 0.23/0.52    sK47_skl=sK49_skl),
% 0.23/0.52    inference(cnf_transformation,[status(thm)],[f416])).
% 0.23/0.52  fof(f425,plain,(
% 0.23/0.52    ~frontsegP(sK48_skl,sK47_skl)),
% 0.23/0.52    inference(cnf_transformation,[status(thm)],[f416])).
% 0.23/0.52  fof(f461,plain,(
% 0.23/0.52    ~frontsegP(sK50_skl,sK47_skl)),
% 0.23/0.52    inference(forward_demodulation,[status(thm)],[f422,f425])).
% 0.23/0.52  fof(f462,plain,(
% 0.23/0.52    ~frontsegP(sK50_skl,sK49_skl)),
% 0.23/0.52    inference(forward_demodulation,[status(thm)],[f423,f461])).
% 0.23/0.52  fof(f465,plain,(
% 0.23/0.52    ![X0]: (~ssList(X0)|frontsegP(X0,sK49_skl))),
% 0.23/0.52    inference(forward_demodulation,[status(thm)],[f421,f295])).
% 0.23/0.52  fof(f466,plain,(
% 0.23/0.52    frontsegP(sK50_skl,sK49_skl)),
% 0.23/0.52    inference(resolution,[status(thm)],[f465,f420])).
% 0.23/0.52  fof(f468,plain,(
% 0.23/0.52    $false),
% 0.23/0.52    inference(forward_subsumption_resolution,[status(thm)],[f466,f462])).
% 0.23/0.52  % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.59  % Elapsed time: 0.109331 seconds
% 0.23/0.59  % CPU time: 0.111534 seconds
% 0.23/0.59  % Total memory used: 3.461 MB
% 0.23/0.59  % Net memory used: 3.458 MB
%------------------------------------------------------------------------------