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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC208-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 02:41:52 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC208-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n006.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 08:04:42 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.38  % Drodi V4.1.1
% 0.14/0.40  % Refutation found
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40  fof(f8,axiom,(
% 0.14/0.40    ssList(nil) ),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f100,axiom,(
% 0.14/0.40    (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f186,negated_conjecture,(
% 0.14/0.40    ssList(sk1) ),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f190,negated_conjecture,(
% 0.14/0.40    sk2 = sk4 ),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f191,negated_conjecture,(
% 0.14/0.40    sk1 = sk3 ),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f192,negated_conjecture,(
% 0.14/0.40    neq(sk2,nil) ),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f193,negated_conjecture,(
% 0.14/0.40    ~ neq(sk1,nil) ),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f194,negated_conjecture,(
% 0.14/0.40    ( nil = sk4| neq(sk3,nil) ) ),
% 0.14/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40  fof(f205,plain,(
% 0.14/0.40    ssList(nil)),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40  fof(f300,plain,(
% 0.14/0.40    ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f100])).
% 0.14/0.40  fof(f428,plain,(
% 0.14/0.40    ssList(sk1)),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f186])).
% 0.14/0.40  fof(f432,plain,(
% 0.14/0.40    sk2=sk4),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/0.40  fof(f433,plain,(
% 0.14/0.40    sk1=sk3),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f191])).
% 0.14/0.40  fof(f434,plain,(
% 0.14/0.40    neq(sk2,nil)),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.40  fof(f435,plain,(
% 0.14/0.40    ~neq(sk1,nil)),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f193])).
% 0.14/0.40  fof(f436,plain,(
% 0.14/0.40    nil=sk4|neq(sk3,nil)),
% 0.14/0.40    inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/0.40  fof(f475,plain,(
% 0.14/0.40    ~ssList(nil)|~ssList(sk1)|sk1=nil),
% 0.14/0.40    inference(resolution,[status(thm)],[f300,f435])).
% 0.14/0.40  fof(f477,plain,(
% 0.14/0.40    ~ssList(sk1)|sk1=nil),
% 0.14/0.40    inference(forward_subsumption_resolution,[status(thm)],[f475,f205])).
% 0.14/0.40  fof(f487,plain,(
% 0.14/0.40    ~neq(nil,nil)),
% 0.14/0.40    inference(backward_demodulation,[status(thm)],[f490,f435])).
% 0.14/0.40  fof(f488,plain,(
% 0.14/0.40    nil=sk3),
% 0.14/0.40    inference(backward_demodulation,[status(thm)],[f490,f433])).
% 0.14/0.40  fof(f490,plain,(
% 0.14/0.40    sk1=nil),
% 0.14/0.40    inference(forward_subsumption_resolution,[status(thm)],[f477,f428])).
% 0.14/0.40  fof(f491,plain,(
% 0.14/0.40    nil=sk2|neq(sk3,nil)),
% 0.14/0.40    inference(forward_demodulation,[status(thm)],[f432,f436])).
% 0.14/0.40  fof(f495,plain,(
% 0.14/0.40    nil=sk2|neq(nil,nil)),
% 0.14/0.40    inference(backward_demodulation,[status(thm)],[f488,f491])).
% 0.14/0.40  fof(f536,plain,(
% 0.14/0.40    neq(nil,nil)),
% 0.14/0.40    inference(backward_demodulation,[status(thm)],[f539,f434])).
% 0.14/0.40  fof(f539,plain,(
% 0.14/0.40    nil=sk2),
% 0.14/0.40    inference(forward_subsumption_resolution,[status(thm)],[f495,f487])).
% 0.14/0.40  fof(f540,plain,(
% 0.14/0.40    $false),
% 0.14/0.40    inference(forward_subsumption_resolution,[status(thm)],[f536,f487])).
% 0.14/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45  % Elapsed time: 0.067153 seconds
% 0.14/0.45  % CPU time: 0.194120 seconds
% 0.14/0.45  % Total memory used: 88.293 MB
% 0.14/0.45  % Net memory used: 88.147 MB
%------------------------------------------------------------------------------