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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC105-1 : 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 : n013.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 02:41:36 PM UTC 2026

% Result   : Unsatisfiable 0.15s 15.44s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC105-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/15.39  % Computer : n013.cluster.edu
% 0.11/15.39  % Model    : x86_64 x86_64
% 0.11/15.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.39  % Memory   : 8046.5625MB
% 0.11/15.39  % OS       : Linux 6.8.0-71-generic
% 0.11/15.39  % CPULimit : 300
% 0.11/15.39  % WCLimit  : 300
% 0.11/15.39  % DateTime : Mon Sep 21 07:55:51 UTC 2026
% 0.11/15.39  % CPUTime  : 
% 0.15/15.41  % Drodi V4.1.1
% 0.15/15.44  % Refutation found
% 0.15/15.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/15.44  % SZS output start CNFRefutation for theBenchmark
% 0.15/15.44  fof(f8,axiom,(
% 0.15/15.44    ssList(nil) ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f82,axiom,(
% 0.15/15.44    (![U]: (( ~ rearsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f115,axiom,(
% 0.15/15.44    (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f186,negated_conjecture,(
% 0.15/15.44    ssList(sk1) ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f190,negated_conjecture,(
% 0.15/15.44    sk2 = sk4 ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f191,negated_conjecture,(
% 0.15/15.44    sk1 = sk3 ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f193,negated_conjecture,(
% 0.15/15.44    ( nil = sk2| ~ neq(sk1,nil)| ~ rearsegP(sk2,sk1) ) ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f194,negated_conjecture,(
% 0.15/15.44    ( nil != sk1| neq(sk2,nil) ) ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f196,negated_conjecture,(
% 0.15/15.44    ( nil = sk4| neq(sk3,nil) ) ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f197,negated_conjecture,(
% 0.15/15.44    ( nil = sk4| rearsegP(sk4,sk3) ) ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f199,negated_conjecture,(
% 0.15/15.44    ( nil = sk3| rearsegP(sk4,sk3) ) ),
% 0.15/15.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.44  fof(f207,plain,(
% 0.15/15.44    ssList(nil)),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/15.44  fof(f282,plain,(
% 0.15/15.44    ![X0]: (~rearsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f82])).
% 0.15/15.44  fof(f320,plain,(
% 0.15/15.44    ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.15/15.44    inference(miniscoping,[status(thm)],[f115])).
% 0.15/15.44  fof(f321,plain,(
% 0.15/15.44    ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f320])).
% 0.15/15.44  fof(f430,plain,(
% 0.15/15.44    ssList(sk1)),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f186])).
% 0.15/15.44  fof(f434,plain,(
% 0.15/15.44    sk2=sk4),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/15.44  fof(f435,plain,(
% 0.15/15.44    sk1=sk3),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f191])).
% 0.15/15.44  fof(f437,plain,(
% 0.15/15.44    nil=sk2|~neq(sk1,nil)|~rearsegP(sk2,sk1)),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f193])).
% 0.15/15.44  fof(f438,plain,(
% 0.15/15.44    ~nil=sk1|neq(sk2,nil)),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/15.44  fof(f440,plain,(
% 0.15/15.44    nil=sk4|neq(sk3,nil)),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f196])).
% 0.15/15.44  fof(f441,plain,(
% 0.15/15.44    nil=sk4|rearsegP(sk4,sk3)),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f197])).
% 0.15/15.44  fof(f443,plain,(
% 0.15/15.44    nil=sk3|rearsegP(sk4,sk3)),
% 0.15/15.44    inference(cnf_transformation,[status(thm)],[f199])).
% 0.15/15.44  fof(f451,plain,(
% 0.15/15.44    ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.15/15.44    inference(destructive_equality_resolution,[status(thm)],[f321])).
% 0.15/15.44  fof(f452,plain,(
% 0.15/15.44    ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.15/15.44    inference(duplicate_literals_removal,[status(thm)],[f451])).
% 0.15/15.44  fof(f489,plain,(
% 0.15/15.44    nil=sk2|neq(sk3,nil)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f434,f440])).
% 0.15/15.44  fof(f490,plain,(
% 0.15/15.44    nil=sk2|~rearsegP(sk2,sk1)),
% 0.15/15.44    inference(backward_subsumption_resolution,[status(thm)],[f437,f491])).
% 0.15/15.44  fof(f491,plain,(
% 0.15/15.44    nil=sk2|neq(sk1,nil)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f435,f489])).
% 0.15/15.44  fof(f492,plain,(
% 0.15/15.44    nil=sk2|rearsegP(sk4,sk3)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f434,f441])).
% 0.15/15.44  fof(f493,plain,(
% 0.15/15.44    nil=sk2|rearsegP(sk2,sk3)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f434,f492])).
% 0.15/15.44  fof(f494,plain,(
% 0.15/15.44    nil=sk2|rearsegP(sk2,sk1)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f435,f493])).
% 0.15/15.44  fof(f508,plain,(
% 0.15/15.44    nil=sk1|rearsegP(sk4,sk3)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f435,f443])).
% 0.15/15.44  fof(f509,plain,(
% 0.15/15.44    nil=sk1|rearsegP(sk2,sk3)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f434,f508])).
% 0.15/15.44  fof(f510,plain,(
% 0.15/15.44    nil=sk1|rearsegP(sk2,sk1)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f435,f509])).
% 0.15/15.44  fof(f518,plain,(
% 0.15/15.44    nil=sk1|rearsegP(nil,sk1)),
% 0.15/15.44    inference(backward_demodulation,[status(thm)],[f526,f510])).
% 0.15/15.44  fof(f522,plain,(
% 0.15/15.44    ~nil=sk1|neq(nil,nil)),
% 0.15/15.44    inference(backward_demodulation,[status(thm)],[f526,f438])).
% 0.15/15.44  fof(f526,plain,(
% 0.15/15.44    nil=sk2),
% 0.15/15.44    inference(forward_subsumption_resolution,[status(thm)],[f490,f494])).
% 0.15/15.44  fof(f527,plain,(
% 0.15/15.44    nil=sk1|~ssList(sk1)|nil=sk1),
% 0.15/15.44    inference(resolution,[status(thm)],[f518,f282])).
% 0.15/15.44  fof(f529,plain,(
% 0.15/15.44    nil=sk1|~ssList(sk1)),
% 0.15/15.44    inference(duplicate_literals_removal,[status(thm)],[f527])).
% 0.15/15.44  fof(f530,plain,(
% 0.15/15.44    nil=sk1),
% 0.15/15.44    inference(forward_subsumption_resolution,[status(thm)],[f529,f430])).
% 0.15/15.44  fof(f542,plain,(
% 0.15/15.44    ~nil=nil|neq(nil,nil)),
% 0.15/15.44    inference(forward_demodulation,[status(thm)],[f530,f522])).
% 0.15/15.44  fof(f544,plain,(
% 0.15/15.44    neq(nil,nil)),
% 0.15/15.44    inference(trivial_equality_resolution,[status(thm)],[f542])).
% 0.15/15.44  fof(f546,plain,(
% 0.15/15.44    ~ssList(nil)),
% 0.15/15.44    inference(resolution,[status(thm)],[f544,f452])).
% 0.15/15.44  fof(f547,plain,(
% 0.15/15.44    $false),
% 0.15/15.44    inference(forward_subsumption_resolution,[status(thm)],[f546,f207])).
% 0.15/15.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/15.47  % Elapsed time: 0.065824 seconds
% 0.15/15.47  % CPU time: 0.175793 seconds
% 0.15/15.47  % Total memory used: 108.910 MB
% 0.15/15.47  % Net memory used: 108.761 MB
%------------------------------------------------------------------------------