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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN662-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 03:20:19 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN662-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n019.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 11:11:51 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.10/0.41  % Refutation found
% 0.10/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41  fof(f6,negated_conjecture,(
% 0.10/0.41    (![X35]: (p2(X35,X35) ))),
% 0.10/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41  fof(f11,negated_conjecture,(
% 0.10/0.41    p25(c33,c36) ),
% 0.10/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41  fof(f12,negated_conjecture,(
% 0.10/0.41    p25(c32,c33) ),
% 0.10/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41  fof(f19,negated_conjecture,(
% 0.10/0.41    (![X96]: (~ p2(X96,f16(X96,f9(f17(c31)))) ))),
% 0.10/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41  fof(f30,negated_conjecture,(
% 0.10/0.41    (![X36,X37,X35]: (( p2(X36,X37)| ~ p2(X35,X36)| ~ p2(X35,X37) ) ))),
% 0.10/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41  fof(f39,negated_conjecture,(
% 0.10/0.41    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))) ),
% 0.10/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41  fof(f50,negated_conjecture,(
% 0.10/0.41    (![X43]: (( p2(f11(f4(X43),c34),f11(f4(c32),c34))| ~ p25(X43,c36)| ~ p25(c32,X43) ) ))),
% 0.10/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41  fof(f60,plain,(
% 0.10/0.41    ![X0]: (p2(X0,X0))),
% 0.10/0.41    inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.41  fof(f65,plain,(
% 0.10/0.41    p25(c33,c36)),
% 0.10/0.41    inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41  fof(f66,plain,(
% 0.10/0.41    p25(c32,c33)),
% 0.10/0.41    inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41  fof(f73,plain,(
% 0.10/0.41    ![X0]: (~p2(X0,f16(X0,f9(f17(c31)))))),
% 0.10/0.41    inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.41  fof(f88,plain,(
% 0.10/0.41    ![X37,X35]: ((![X36]: (p2(X36,X37)|~p2(X35,X36)))|~p2(X35,X37))),
% 0.10/0.41    inference(miniscoping,[status(thm)],[f30])).
% 0.10/0.41  fof(f89,plain,(
% 0.10/0.41    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.10/0.41    inference(cnf_transformation,[status(thm)],[f88])).
% 0.10/0.41  fof(f106,plain,(
% 0.10/0.41    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31))))),
% 0.10/0.41    inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.41  fof(f123,plain,(
% 0.10/0.41    ![X0]: (p2(f11(f4(X0),c34),f11(f4(c32),c34))|~p25(X0,c36)|~p25(c32,X0))),
% 0.10/0.41    inference(cnf_transformation,[status(thm)],[f50])).
% 0.10/0.41  fof(f133,plain,(
% 0.10/0.41    ![X0,X1]: (~p2(X0,X1)|~p2(X0,f16(X1,f9(f17(c31)))))),
% 0.10/0.41    inference(resolution,[status(thm)],[f89,f73])).
% 0.10/0.41  fof(f141,plain,(
% 0.10/0.41    ~p2(f11(f4(c32),c34),f11(f4(c33),c34))),
% 0.10/0.41    inference(resolution,[status(thm)],[f106,f133])).
% 0.10/0.41  fof(f153,plain,(
% 0.10/0.41    ![X0]: (~p2(X0,f11(f4(c32),c34))|~p2(X0,f11(f4(c33),c34)))),
% 0.10/0.41    inference(resolution,[status(thm)],[f141,f89])).
% 0.10/0.41  fof(f291,plain,(
% 0.10/0.41    ~p2(f11(f4(c33),c34),f11(f4(c32),c34))),
% 0.10/0.41    inference(resolution,[status(thm)],[f153,f60])).
% 0.10/0.41  fof(f332,plain,(
% 0.10/0.41    ~p25(c33,c36)|~p25(c32,c33)),
% 0.10/0.41    inference(resolution,[status(thm)],[f291,f123])).
% 0.10/0.41  fof(f336,definition,(
% 0.10/0.41    sQ3_spl <=> (p25(c33,c36))),
% 0.10/0.41    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.41  fof(f338,plain,(
% 0.10/0.41    ~p25(c33,c36)|sQ3_spl),
% 0.10/0.41    inference(component_clause,[status(thm)],[f336])).
% 0.10/0.41  fof(f339,definition,(
% 0.10/0.41    sQ4_spl <=> (p25(c32,c33))),
% 0.10/0.41    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41  fof(f341,plain,(
% 0.10/0.41    ~p25(c32,c33)|sQ4_spl),
% 0.10/0.41    inference(component_clause,[status(thm)],[f339])).
% 0.10/0.41  fof(f342,plain,(
% 0.10/0.41    ~sQ3_spl|~sQ4_spl),
% 0.10/0.41    inference(split_clause,[status(thm)],[f332,f336,f339])).
% 0.10/0.41  fof(f351,plain,(
% 0.10/0.41    $false|sQ4_spl),
% 0.10/0.41    inference(forward_subsumption_resolution,[status(thm)],[f341,f66])).
% 0.10/0.41  fof(f352,plain,(
% 0.10/0.41    sQ4_spl),
% 0.10/0.41    inference(contradiction_clause,[status(thm)],[f351])).
% 0.10/0.41  fof(f353,plain,(
% 0.10/0.41    $false|sQ3_spl),
% 0.10/0.41    inference(forward_subsumption_resolution,[status(thm)],[f338,f65])).
% 0.10/0.41  fof(f354,plain,(
% 0.10/0.41    sQ3_spl),
% 0.10/0.41    inference(contradiction_clause,[status(thm)],[f353])).
% 0.10/0.41  fof(f355,plain,(
% 0.10/0.41    $false),
% 0.10/0.41    inference(sat_refutation,[status(thm)],[f342,f352,f354])).
% 0.10/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42  % Elapsed time: 0.059331 seconds
% 0.10/0.42  % CPU time: 0.266483 seconds
% 0.10/0.42  % Total memory used: 23.594 MB
% 0.10/0.42  % Net memory used: 22.861 MB
%------------------------------------------------------------------------------