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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWW423-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.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 03:09:06 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.47s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW423-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n017.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 09:47:43 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.14/0.37  % Drodi V4.1.1
% 0.14/0.47  % Refutation found
% 0.14/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.47  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.47  fof(f1,axiom,(
% 0.14/0.47    (![S,T,Sigma]: (sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ))),
% 0.14/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47  fof(f8,axiom,(
% 0.14/0.47    (![X,Y,Z,Sigma]: (( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))| X = Y| heap(sep(lseg(X,Z),Sigma)) ) ))),
% 0.14/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47  fof(f13,hypothesis,(
% 0.14/0.47    x2 != x1 ),
% 0.14/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47  fof(f15,hypothesis,(
% 0.14/0.47    heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))) ),
% 0.14/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47  fof(f16,negated_conjecture,(
% 0.14/0.47    ~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))) ),
% 0.14/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47  fof(f17,plain,(
% 0.14/0.47    ![X0,X1,X2]: (sep(X0,sep(X1,X2))=sep(X1,sep(X0,X2)))),
% 0.14/0.47    inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.47  fof(f27,plain,(
% 0.14/0.47    ![X,Z,Sigma]: ((![Y]: (~heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))|X=Y))|heap(sep(lseg(X,Z),Sigma)))),
% 0.14/0.47    inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.47  fof(f28,plain,(
% 0.14/0.47    ![X0,X1,X2,X3]: (~heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))|X0=X1|heap(sep(lseg(X0,X2),X3)))),
% 0.14/0.47    inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.47  fof(f36,plain,(
% 0.14/0.47    ~x2=x1),
% 0.14/0.47    inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.47  fof(f38,plain,(
% 0.14/0.47    heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp))))),
% 0.14/0.47    inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.47  fof(f39,plain,(
% 0.14/0.47    ~heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp)))),
% 0.14/0.47    inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.47  fof(f87,plain,(
% 0.14/0.47    ![X0,X1,X2,X3]: (~heap(sep(lseg(X0,X1),sep(next(X2,X0),X3)))|X2=X0|heap(sep(lseg(X2,X1),X3)))),
% 0.14/0.47    inference(paramodulation,[status(thm)],[f17,f28])).
% 0.14/0.47  fof(f113,plain,(
% 0.14/0.47    heap(sep(lseg(x2,nil),sep(next(x1,x2),sep(lseg(x3,nil),emp))))),
% 0.14/0.47    inference(paramodulation,[status(thm)],[f17,f38])).
% 0.14/0.47  fof(f428,plain,(
% 0.14/0.47    x1=x2|heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp)))),
% 0.14/0.47    inference(resolution,[status(thm)],[f113,f87])).
% 0.14/0.47  fof(f433,definition,(
% 0.14/0.47    sQ3_spl <=> (x1=x2)),
% 0.14/0.47    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.47  fof(f434,plain,(
% 0.14/0.47    x1=x2|~sQ3_spl),
% 0.14/0.47    inference(component_clause,[status(thm)],[f433])).
% 0.14/0.47  fof(f436,definition,(
% 0.14/0.47    sQ4_spl <=> (heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))))),
% 0.14/0.47    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.47  fof(f437,plain,(
% 0.14/0.47    heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp)))|~sQ4_spl),
% 0.14/0.47    inference(component_clause,[status(thm)],[f436])).
% 0.14/0.47  fof(f439,plain,(
% 0.14/0.47    sQ3_spl|sQ4_spl),
% 0.14/0.47    inference(split_clause,[status(thm)],[f428,f433,f436])).
% 0.14/0.47  fof(f440,plain,(
% 0.14/0.47    $false|~sQ3_spl),
% 0.14/0.47    inference(forward_subsumption_resolution,[status(thm)],[f434,f36])).
% 0.14/0.47  fof(f441,plain,(
% 0.14/0.47    ~sQ3_spl),
% 0.14/0.47    inference(contradiction_clause,[status(thm)],[f440])).
% 0.14/0.47  fof(f442,plain,(
% 0.14/0.47    $false|~sQ4_spl),
% 0.14/0.47    inference(forward_subsumption_resolution,[status(thm)],[f437,f39])).
% 0.14/0.47  fof(f443,plain,(
% 0.14/0.47    ~sQ4_spl),
% 0.14/0.47    inference(contradiction_clause,[status(thm)],[f442])).
% 0.14/0.47  fof(f444,plain,(
% 0.14/0.47    $false),
% 0.14/0.47    inference(sat_refutation,[status(thm)],[f439,f441,f443])).
% 0.14/0.47  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.47  % Elapsed time: 0.107673 seconds
% 0.14/0.47  % CPU time: 0.540195 seconds
% 0.14/0.47  % Total memory used: 108.444 MB
% 0.14/0.47  % Net memory used: 107.988 MB
%------------------------------------------------------------------------------