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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN624-1 : 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 : n016.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 03:20:15 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n016.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 11:14:52 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.10/0.40  % Refutation found
% 0.10/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40  fof(f1,negated_conjecture,(
% 0.10/0.40    (![X0]: (p10(X0,X0) ))),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f2,negated_conjecture,(
% 0.10/0.40    (![X57]: (p5(X57,X57) ))),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f11,negated_conjecture,(
% 0.10/0.40    (![X16]: (p10(f16(X16,f14(f15(f7(c25)))),X16) ))),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f21,negated_conjecture,(
% 0.10/0.40    (![X1,X2,X0]: (( p10(X1,X2)| ~ p10(X0,X1)| ~ p10(X0,X2) ) ))),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f26,negated_conjecture,(
% 0.10/0.40    (![X9]: (p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))) ))),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f28,negated_conjecture,(
% 0.10/0.40    ~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))) ),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f32,negated_conjecture,(
% 0.10/0.40    (![X3,X4,X5,X6]: (( p10(f13(X3,X4),f13(X5,X6))| ~ p10(X4,X6)| ~ p5(X3,X5) ) ))),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f36,plain,(
% 0.10/0.40    ![X0]: (p10(X0,X0))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40  fof(f37,plain,(
% 0.10/0.40    ![X0]: (p5(X0,X0))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40  fof(f46,plain,(
% 0.10/0.40    ![X0]: (p10(f16(X0,f14(f15(f7(c25)))),X0))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40  fof(f56,plain,(
% 0.10/0.40    ![X2,X0]: ((![X1]: (p10(X1,X2)|~p10(X0,X1)))|~p10(X0,X2))),
% 0.10/0.40    inference(miniscoping,[status(thm)],[f21])).
% 0.10/0.40  fof(f57,plain,(
% 0.10/0.40    ![X0,X1,X2]: (p10(X0,X1)|~p10(X2,X0)|~p10(X2,X1))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f56])).
% 0.10/0.40  fof(f66,plain,(
% 0.10/0.40    ![X0]: (p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.40  fof(f68,plain,(
% 0.10/0.40    ~p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25)))))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.40  fof(f75,plain,(
% 0.10/0.40    ![X3,X5]: ((![X4,X6]: (p10(f13(X3,X4),f13(X5,X6))|~p10(X4,X6)))|~p5(X3,X5))),
% 0.10/0.40    inference(miniscoping,[status(thm)],[f32])).
% 0.10/0.40  fof(f76,plain,(
% 0.10/0.40    ![X0,X1,X2,X3]: (p10(f13(X0,X1),f13(X2,X3))|~p10(X1,X3)|~p5(X0,X2))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f75])).
% 0.10/0.40  fof(f83,plain,(
% 0.10/0.40    ![X0]: (~p10(X0,f13(f6(c24),c26))|~p10(X0,f13(f6(c22),f14(f15(f7(c25))))))),
% 0.10/0.40    inference(resolution,[status(thm)],[f68,f57])).
% 0.10/0.40  fof(f123,plain,(
% 0.10/0.40    ![X0,X1]: (~p10(X0,f13(f6(c24),c26))|~p10(X1,X0)|~p10(X1,f13(f6(c22),f14(f15(f7(c25))))))),
% 0.10/0.40    inference(resolution,[status(thm)],[f83,f57])).
% 0.10/0.40  fof(f141,plain,(
% 0.10/0.40    ![X0]: (~p10(X0,f13(f6(c24),c26))|~p10(f13(f6(c22),f14(f15(f7(c25)))),X0))),
% 0.10/0.40    inference(resolution,[status(thm)],[f123,f36])).
% 0.10/0.40  fof(f172,plain,(
% 0.10/0.40    ~p10(f13(f6(c24),f16(c26,f14(f15(f7(c25))))),f13(f6(c24),c26))),
% 0.10/0.40    inference(resolution,[status(thm)],[f141,f66])).
% 0.10/0.40  fof(f176,plain,(
% 0.10/0.40    ~p10(f16(c26,f14(f15(f7(c25)))),c26)|~p5(f6(c24),f6(c24))),
% 0.10/0.40    inference(resolution,[status(thm)],[f172,f76])).
% 0.10/0.40  fof(f178,definition,(
% 0.10/0.40    sQ6_spl <=> (p10(f16(c26,f14(f15(f7(c25)))),c26))),
% 0.10/0.40    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.40  fof(f180,plain,(
% 0.10/0.40    ~p10(f16(c26,f14(f15(f7(c25)))),c26)|sQ6_spl),
% 0.10/0.40    inference(component_clause,[status(thm)],[f178])).
% 0.10/0.40  fof(f181,definition,(
% 0.10/0.40    sQ7_spl <=> (p5(f6(c24),f6(c24)))),
% 0.10/0.40    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.40  fof(f183,plain,(
% 0.10/0.40    ~p5(f6(c24),f6(c24))|sQ7_spl),
% 0.10/0.40    inference(component_clause,[status(thm)],[f181])).
% 0.10/0.40  fof(f184,plain,(
% 0.10/0.40    ~sQ6_spl|~sQ7_spl),
% 0.10/0.40    inference(split_clause,[status(thm)],[f176,f178,f181])).
% 0.10/0.40  fof(f185,plain,(
% 0.10/0.40    $false|sQ6_spl),
% 0.10/0.40    inference(forward_subsumption_resolution,[status(thm)],[f180,f46])).
% 0.10/0.40  fof(f186,plain,(
% 0.10/0.40    sQ6_spl),
% 0.10/0.40    inference(contradiction_clause,[status(thm)],[f185])).
% 0.10/0.40  fof(f187,plain,(
% 0.10/0.40    $false|sQ7_spl),
% 0.10/0.40    inference(forward_subsumption_resolution,[status(thm)],[f183,f37])).
% 0.10/0.40  fof(f188,plain,(
% 0.10/0.40    sQ7_spl),
% 0.10/0.40    inference(contradiction_clause,[status(thm)],[f187])).
% 0.10/0.40  fof(f189,plain,(
% 0.10/0.40    $false),
% 0.10/0.40    inference(sat_refutation,[status(thm)],[f184,f186,f188])).
% 0.10/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41  % Elapsed time: 0.044016 seconds
% 0.10/0.41  % CPU time: 0.170361 seconds
% 0.10/0.41  % Total memory used: 17.951 MB
% 0.10/0.41  % Net memory used: 17.667 MB
%------------------------------------------------------------------------------