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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN616-1 : 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 : n009.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 03:20:14 PM UTC 2026

% Result   : Unsatisfiable 0.13s 5.68s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.60  % Computer : n009.cluster.edu
% 0.13/5.60  % Model    : x86_64 x86_64
% 0.13/5.60  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.60  % Memory   : 8046.5625MB
% 0.13/5.60  % OS       : Linux 6.8.0-71-generic
% 0.13/5.60  % CPULimit : 300
% 0.13/5.60  % WCLimit  : 300
% 0.13/5.60  % DateTime : Mon Sep 21 11:10:18 UTC 2026
% 0.13/5.61  % CPUTime  : 
% 0.13/5.62  % Drodi V4.1.1
% 0.13/5.68  % Refutation found
% 0.13/5.68  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.68  % SZS output start CNFRefutation for theBenchmark
% 0.13/5.68  fof(f4,negated_conjecture,(
% 0.13/5.68    (![X31]: (p2(X31,X31) ))),
% 0.13/5.68    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.68  fof(f7,negated_conjecture,(
% 0.13/5.68    p2(c25,c28) ),
% 0.13/5.68    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.68  fof(f27,negated_conjecture,(
% 0.13/5.68    (![X40,X41,X42,X43]: (( p2(f12(X40,X41),f12(X42,X43))| ~ p2(X40,X42)| ~ p2(X41,X43) ) ))),
% 0.13/5.68    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.68  fof(f28,negated_conjecture,(
% 0.13/5.68    (![X52,X53,X54,X55]: (( p2(f7(X52,X53),f7(X54,X55))| ~ p2(X53,X55)| ~ p2(X52,X54) ) ))),
% 0.13/5.68    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.68  fof(f29,negated_conjecture,(
% 0.13/5.68    p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)) ),
% 0.13/5.68    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.68  fof(f30,negated_conjecture,(
% 0.13/5.68    ~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)) ),
% 0.13/5.68    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.68  fof(f31,negated_conjecture,(
% 0.13/5.68    (![X7,X8,X9,X12,X11,X10]: (( p14(X7,X8,X9)| ~ p2(X12,X9)| ~ p2(X11,X8)| ~ p2(X10,X7)| ~ p14(X10,X11,X12) ) ))),
% 0.13/5.68    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.68  fof(f36,plain,(
% 0.13/5.68    ![X0]: (p2(X0,X0))),
% 0.13/5.68    inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/5.68  fof(f39,plain,(
% 0.13/5.68    p2(c25,c28)),
% 0.13/5.68    inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/5.68  fof(f68,plain,(
% 0.13/5.68    ![X41,X43]: ((![X40,X42]: (p2(f12(X40,X41),f12(X42,X43))|~p2(X40,X42)))|~p2(X41,X43))),
% 0.13/5.68    inference(miniscoping,[status(thm)],[f27])).
% 0.13/5.68  fof(f69,plain,(
% 0.13/5.68    ![X0,X1,X2,X3]: (p2(f12(X0,X1),f12(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.13/5.68    inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/5.68  fof(f70,plain,(
% 0.13/5.68    ![X52,X54]: ((![X53,X55]: (p2(f7(X52,X53),f7(X54,X55))|~p2(X53,X55)))|~p2(X52,X54))),
% 0.13/5.68    inference(miniscoping,[status(thm)],[f28])).
% 0.13/5.68  fof(f71,plain,(
% 0.13/5.68    ![X0,X1,X2,X3]: (p2(f7(X0,X1),f7(X2,X3))|~p2(X1,X3)|~p2(X0,X2))),
% 0.13/5.68    inference(cnf_transformation,[status(thm)],[f70])).
% 0.13/5.68  fof(f72,plain,(
% 0.13/5.68    p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21))),
% 0.13/5.68    inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/5.68  fof(f73,plain,(
% 0.13/5.68    ~p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21))),
% 0.13/5.68    inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/5.68  fof(f74,plain,(
% 0.13/5.68    ![X12,X11,X10]: ((![X7]: ((![X8]: ((![X9]: (p14(X7,X8,X9)|~p2(X12,X9)))|~p2(X11,X8)))|~p2(X10,X7)))|~p14(X10,X11,X12))),
% 0.13/5.68    inference(miniscoping,[status(thm)],[f31])).
% 0.13/5.68  fof(f75,plain,(
% 0.13/5.68    ![X0,X1,X2,X3,X4,X5]: (p14(X0,X1,X2)|~p2(X3,X2)|~p2(X4,X1)|~p2(X5,X0)|~p14(X5,X4,X3))),
% 0.13/5.68    inference(cnf_transformation,[status(thm)],[f74])).
% 0.13/5.68  fof(f96,plain,(
% 0.13/5.68    ![X0,X1,X2]: (~p2(X0,f6(c21))|~p2(X1,f3(f5(c20)))|~p2(X2,f7(c22,f12(f8(c21,f3(f5(c20))),c28)))|~p14(X2,X1,X0))),
% 0.13/5.68    inference(resolution,[status(thm)],[f75,f73])).
% 0.13/5.68  fof(f99,plain,(
% 0.13/5.68    ![X0,X1,X2,X3]: (~p2(X0,f6(c21))|~p2(X1,f3(f5(c20)))|~p14(f7(X2,X3),X1,X0)|~p2(X3,f12(f8(c21,f3(f5(c20))),c28))|~p2(X2,c22))),
% 0.13/5.68    inference(resolution,[status(thm)],[f96,f71])).
% 0.13/5.68  fof(f103,plain,(
% 0.13/5.68    ![X0,X1,X2]: (~p2(X0,f6(c21))|~p2(X1,f3(f5(c20)))|~p14(f7(c22,X2),X1,X0)|~p2(X2,f12(f8(c21,f3(f5(c20))),c28)))),
% 0.13/5.68    inference(resolution,[status(thm)],[f99,f36])).
% 0.13/5.68  fof(f115,plain,(
% 0.13/5.68    ![X0,X1,X2,X3]: (~p2(X0,f6(c21))|~p2(X1,f3(f5(c20)))|~p14(f7(c22,f12(X2,X3)),X1,X0)|~p2(X2,f8(c21,f3(f5(c20))))|~p2(X3,c28))),
% 0.13/5.68    inference(resolution,[status(thm)],[f103,f69])).
% 0.13/5.68  fof(f143,plain,(
% 0.13/5.68    ~p2(f6(c21),f6(c21))|~p2(f3(f5(c20)),f3(f5(c20)))|~p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))|~p2(c25,c28)),
% 0.13/5.68    inference(resolution,[status(thm)],[f115,f72])).
% 0.13/5.68  fof(f145,definition,(
% 0.13/5.68    sQ0_spl <=> (p2(f6(c21),f6(c21)))),
% 0.13/5.68    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.68  fof(f147,plain,(
% 0.13/5.68    ~p2(f6(c21),f6(c21))|sQ0_spl),
% 0.13/5.68    inference(component_clause,[status(thm)],[f145])).
% 0.13/5.68  fof(f148,definition,(
% 0.13/5.68    sQ1_spl <=> (p2(f3(f5(c20)),f3(f5(c20))))),
% 0.13/5.68    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.68  fof(f150,plain,(
% 0.13/5.68    ~p2(f3(f5(c20)),f3(f5(c20)))|sQ1_spl),
% 0.13/5.68    inference(component_clause,[status(thm)],[f148])).
% 0.13/5.68  fof(f151,definition,(
% 0.17/5.70    sQ2_spl <=> (p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20)))))),
% 0.17/5.70    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/5.70  fof(f153,plain,(
% 0.17/5.70    ~p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))|sQ2_spl),
% 0.17/5.70    inference(component_clause,[status(thm)],[f151])).
% 0.17/5.70  fof(f154,definition,(
% 0.17/5.70    sQ3_spl <=> (p2(c25,c28))),
% 0.17/5.70    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/5.70  fof(f156,plain,(
% 0.17/5.70    ~p2(c25,c28)|sQ3_spl),
% 0.17/5.70    inference(component_clause,[status(thm)],[f154])).
% 0.17/5.70  fof(f157,plain,(
% 0.17/5.70    ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.17/5.70    inference(split_clause,[status(thm)],[f143,f145,f148,f151,f154])).
% 0.17/5.70  fof(f158,plain,(
% 0.17/5.70    $false|sQ3_spl),
% 0.17/5.70    inference(forward_subsumption_resolution,[status(thm)],[f156,f39])).
% 0.17/5.70  fof(f159,plain,(
% 0.17/5.70    sQ3_spl),
% 0.17/5.70    inference(contradiction_clause,[status(thm)],[f158])).
% 0.17/5.70  fof(f160,plain,(
% 0.17/5.70    $false|sQ2_spl),
% 0.17/5.70    inference(forward_subsumption_resolution,[status(thm)],[f153,f36])).
% 0.17/5.70  fof(f161,plain,(
% 0.17/5.70    sQ2_spl),
% 0.17/5.70    inference(contradiction_clause,[status(thm)],[f160])).
% 0.17/5.70  fof(f162,plain,(
% 0.17/5.70    $false|sQ0_spl),
% 0.17/5.70    inference(forward_subsumption_resolution,[status(thm)],[f147,f36])).
% 0.17/5.70  fof(f163,plain,(
% 0.17/5.70    sQ0_spl),
% 0.17/5.70    inference(contradiction_clause,[status(thm)],[f162])).
% 0.17/5.70  fof(f164,plain,(
% 0.17/5.70    $false|sQ1_spl),
% 0.17/5.70    inference(forward_subsumption_resolution,[status(thm)],[f150,f36])).
% 0.17/5.70  fof(f165,plain,(
% 0.17/5.70    sQ1_spl),
% 0.17/5.70    inference(contradiction_clause,[status(thm)],[f164])).
% 0.17/5.70  fof(f166,plain,(
% 0.17/5.70    $false),
% 0.17/5.70    inference(sat_refutation,[status(thm)],[f157,f159,f161,f163,f165])).
% 0.17/5.70  % SZS output end CNFRefutation for theBenchmark.p
% 0.17/5.71  % Elapsed time: 0.088185 seconds
% 0.17/5.71  % CPU time: 0.484962 seconds
% 0.17/5.71  % Total memory used: 50.787 MB
% 0.17/5.71  % Net memory used: 49.957 MB
%------------------------------------------------------------------------------