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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET786-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 02:12:36 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET786-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n013.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 05:37:35 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.14/0.36  % Drodi V4.1.1
% 0.14/0.38  % Refutation found
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38  fof(f1,negated_conjecture,(
% 0.14/0.38    (![B,A]: (( ~ element(B,A)| ~ element(A,B)| ~ element(A,sk1) ) ))),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38  fof(f2,negated_conjecture,(
% 0.14/0.38    (![A]: (( element(A,sk1)| element(A,sk2(A)) ) ))),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38  fof(f3,negated_conjecture,(
% 0.14/0.38    (![A]: (( element(A,sk1)| element(sk2(A),A) ) ))),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38  fof(f4,plain,(
% 0.14/0.38    ![A]: ((![B]: (~element(B,A)|~element(A,B)))|~element(A,sk1))),
% 0.14/0.38    inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.38  fof(f5,plain,(
% 0.14/0.38    ![X0,X1]: (~element(X0,X1)|~element(X1,X0)|~element(X1,sk1))),
% 0.14/0.38    inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.38  fof(f6,plain,(
% 0.14/0.38    ![X0]: (element(X0,sk1)|element(X0,sk2(X0)))),
% 0.14/0.38    inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38  fof(f7,plain,(
% 0.14/0.38    ![X0]: (element(X0,sk1)|element(sk2(X0),X0))),
% 0.14/0.38    inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38  fof(f8,plain,(
% 0.14/0.38    ![X0]: (~element(X0,sk2(sk1))|~element(sk2(sk1),X0)|element(sk1,sk1))),
% 0.14/0.38    inference(resolution,[status(thm)],[f5,f7])).
% 0.14/0.38  fof(f9,definition,(
% 0.14/0.38    ![X0]: (sQ0_spl <=> (~element(X0,sk2(sk1))|~element(sk2(sk1),X0)))),
% 0.14/0.38    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38  fof(f10,plain,(
% 0.14/0.38    ![X0]: (~element(X0,sk2(sk1))|~element(sk2(sk1),X0)|~sQ0_spl)),
% 0.14/0.38    inference(component_clause,[status(thm)],[f9])).
% 0.14/0.38  fof(f12,definition,(
% 0.14/0.38    sQ1_spl <=> (element(sk1,sk1))),
% 0.14/0.38    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38  fof(f13,plain,(
% 0.14/0.38    element(sk1,sk1)|~sQ1_spl),
% 0.14/0.38    inference(component_clause,[status(thm)],[f12])).
% 0.14/0.38  fof(f15,plain,(
% 0.14/0.38    sQ0_spl|sQ1_spl),
% 0.14/0.38    inference(split_clause,[status(thm)],[f8,f9,f12])).
% 0.14/0.38  fof(f16,plain,(
% 0.14/0.38    ~element(sk1,sk2(sk1))|element(sk1,sk1)|~sQ0_spl),
% 0.14/0.38    inference(resolution,[status(thm)],[f10,f7])).
% 0.14/0.38  fof(f18,definition,(
% 0.14/0.38    sQ2_spl <=> (element(sk1,sk2(sk1)))),
% 0.14/0.38    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38  fof(f20,plain,(
% 0.14/0.38    ~element(sk1,sk2(sk1))|sQ2_spl),
% 0.14/0.38    inference(component_clause,[status(thm)],[f18])).
% 0.14/0.38  fof(f21,plain,(
% 0.14/0.38    ~sQ2_spl|sQ1_spl|~sQ0_spl),
% 0.14/0.38    inference(split_clause,[status(thm)],[f16,f18,f12,f9])).
% 0.14/0.38  fof(f29,plain,(
% 0.14/0.38    ![X0]: (~element(X0,sk1)|~element(sk1,X0)|~sQ1_spl)),
% 0.14/0.38    inference(resolution,[status(thm)],[f13,f5])).
% 0.14/0.38  fof(f31,plain,(
% 0.14/0.38    ~element(sk1,sk1)|~sQ1_spl),
% 0.14/0.38    inference(resolution,[status(thm)],[f29,f13])).
% 0.14/0.38  fof(f33,plain,(
% 0.14/0.38    $false|~sQ1_spl),
% 0.14/0.38    inference(forward_subsumption_resolution,[status(thm)],[f31,f13])).
% 0.14/0.38  fof(f34,plain,(
% 0.14/0.38    ~sQ1_spl),
% 0.14/0.38    inference(contradiction_clause,[status(thm)],[f33])).
% 0.14/0.38  fof(f35,plain,(
% 0.14/0.38    element(sk1,sk1)|sQ2_spl),
% 0.14/0.38    inference(resolution,[status(thm)],[f20,f6])).
% 0.14/0.38  fof(f36,plain,(
% 0.14/0.38    sQ1_spl|sQ2_spl),
% 0.14/0.38    inference(split_clause,[status(thm)],[f35,f12,f18])).
% 0.14/0.38  fof(f37,plain,(
% 0.14/0.38    $false),
% 0.14/0.38    inference(sat_refutation,[status(thm)],[f15,f21,f34,f36])).
% 0.14/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40  % Elapsed time: 0.036438 seconds
% 0.14/0.40  % CPU time: 0.095919 seconds
% 0.14/0.40  % Total memory used: 13.365 MB
% 0.14/0.40  % Net memory used: 12.878 MB
%------------------------------------------------------------------------------