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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN607-1 : 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 : n015.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 03:20:13 PM UTC 2026

% Result   : Unsatisfiable 0.09s 5.56s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN607-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.53  % Computer : n015.cluster.edu
% 0.09/5.53  % Model    : x86_64 x86_64
% 0.09/5.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.53  % Memory   : 8046.5625MB
% 0.09/5.53  % OS       : Linux 6.8.0-71-generic
% 0.09/5.53  % CPULimit : 300
% 0.09/5.53  % WCLimit  : 300
% 0.09/5.53  % DateTime : Mon Sep 21 11:12:57 UTC 2026
% 0.09/5.53  % CPUTime  : 
% 0.09/5.54  % Drodi V4.1.1
% 0.09/5.56  % Refutation found
% 0.09/5.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.56  % SZS output start CNFRefutation for theBenchmark
% 0.09/5.56  fof(f2,negated_conjecture,(
% 0.09/5.56    (![X11]: (p2(X11,X11) ))),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f4,negated_conjecture,(
% 0.09/5.56    (![X18]: (p3(X18,X18) ))),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f8,negated_conjecture,(
% 0.09/5.56    p3(f12(f15(c22),c21),f15(c22)) ),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f12,negated_conjecture,(
% 0.09/5.56    (![X16,X17]: (( p2(f9(X16),f9(X17))| ~ p3(X16,X17) ) ))),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f19,negated_conjecture,(
% 0.09/5.56    (![X19,X20,X18]: (( p3(X19,X20)| ~ p3(X18,X19)| ~ p3(X18,X20) ) ))),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f20,negated_conjecture,(
% 0.09/5.56    (![X2,X3,X4,X5]: (( p17(X2,X3)| ~ p2(X4,X2)| ~ p2(X5,X3)| ~ p17(X4,X5) ) ))),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f24,negated_conjecture,(
% 0.09/5.56    (![X21,X22,X23,X24]: (( p3(f10(X21,X22),f10(X23,X24))| ~ p3(X21,X23)| ~ p3(X22,X24) ) ))),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f27,negated_conjecture,(
% 0.09/5.56    p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))) ),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f29,negated_conjecture,(
% 0.09/5.56    (![X50]: (~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))) ))),
% 0.09/5.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56  fof(f32,plain,(
% 0.09/5.56    ![X0]: (p2(X0,X0))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.56  fof(f34,plain,(
% 0.09/5.56    ![X0]: (p3(X0,X0))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.56  fof(f38,plain,(
% 0.09/5.56    p3(f12(f15(c22),c21),f15(c22))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/5.56  fof(f42,plain,(
% 0.09/5.56    ![X0,X1]: (p2(f9(X0),f9(X1))|~p3(X0,X1))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/5.56  fof(f51,plain,(
% 0.09/5.56    ![X20,X18]: ((![X19]: (p3(X19,X20)|~p3(X18,X19)))|~p3(X18,X20))),
% 0.09/5.56    inference(miniscoping,[status(thm)],[f19])).
% 0.09/5.56  fof(f52,plain,(
% 0.09/5.56    ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/5.56  fof(f53,plain,(
% 0.09/5.56    ![X4,X5]: ((![X3]: ((![X2]: (p17(X2,X3)|~p2(X4,X2)))|~p2(X5,X3)))|~p17(X4,X5))),
% 0.09/5.56    inference(miniscoping,[status(thm)],[f20])).
% 0.09/5.56  fof(f54,plain,(
% 0.09/5.56    ![X0,X1,X2,X3]: (p17(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p17(X2,X3))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f53])).
% 0.09/5.56  fof(f60,plain,(
% 0.09/5.56    ![X22,X24]: ((![X21,X23]: (p3(f10(X21,X22),f10(X23,X24))|~p3(X21,X23)))|~p3(X22,X24))),
% 0.09/5.56    inference(miniscoping,[status(thm)],[f24])).
% 0.09/5.56  fof(f61,plain,(
% 0.09/5.56    ![X0,X1,X2,X3]: (p3(f10(X0,X1),f10(X2,X3))|~p3(X0,X2)|~p3(X1,X3))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/5.56  fof(f66,plain,(
% 0.09/5.56    p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20))))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/5.56  fof(f68,plain,(
% 0.09/5.56    ![X0]: (~p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))))),
% 0.09/5.56    inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/5.56  fof(f95,plain,(
% 0.09/5.56    ![X0,X1]: (p17(X0,X1)|~p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),X0)|~p2(f6(f7(f8(c20))),X1))),
% 0.09/5.56    inference(resolution,[status(thm)],[f66,f54])).
% 0.09/5.56  fof(f112,plain,(
% 0.09/5.56    ![X0]: (~p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))|~p2(f6(f7(f8(c20))),f6(f7(f8(c20)))))),
% 0.09/5.56    inference(resolution,[status(thm)],[f95,f68])).
% 0.09/5.56  fof(f114,definition,(
% 0.09/5.56    ![X0]: (sQ2_spl <=> (~p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))))),
% 0.09/5.56    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/5.56  fof(f115,plain,(
% 0.09/5.56    ![X0]: (~p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))|~sQ2_spl)),
% 0.09/5.56    inference(component_clause,[status(thm)],[f114])).
% 0.09/5.56  fof(f117,definition,(
% 0.09/5.56    sQ3_spl <=> (p2(f6(f7(f8(c20))),f6(f7(f8(c20)))))),
% 0.09/5.56    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/5.56  fof(f119,plain,(
% 0.09/5.56    ~p2(f6(f7(f8(c20))),f6(f7(f8(c20))))|sQ3_spl),
% 0.09/5.56    inference(component_clause,[status(thm)],[f117])).
% 0.09/5.56  fof(f120,plain,(
% 0.09/5.56    sQ2_spl|~sQ3_spl),
% 0.09/5.56    inference(split_clause,[status(thm)],[f112,f114,f117])).
% 0.09/5.56  fof(f136,plain,(
% 0.09/5.56    ![X0]: (~p3(f10(f14(f4(f9(c19)),c19),f15(c22)),f10(f14(f4(f9(c19)),c19),f12(X0,c21)))|~sQ2_spl)),
% 0.09/5.56    inference(resolution,[status(thm)],[f115,f42])).
% 0.09/5.56  fof(f140,plain,(
% 0.09/5.56    ![X0]: (~p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))|~p3(f15(c22),f12(X0,c21))|~sQ2_spl)),
% 0.09/5.56    inference(resolution,[status(thm)],[f136,f61])).
% 0.09/5.56  fof(f142,definition,(
% 0.09/5.56    sQ6_spl <=> (p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)))),
% 0.09/5.56    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/5.56  fof(f144,plain,(
% 0.09/5.56    ~p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))|sQ6_spl),
% 0.09/5.56    inference(component_clause,[status(thm)],[f142])).
% 0.09/5.56  fof(f145,definition,(
% 0.09/5.56    ![X0]: (sQ7_spl <=> (~p3(f15(c22),f12(X0,c21))))),
% 0.09/5.56    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/5.56  fof(f146,plain,(
% 0.09/5.56    ![X0]: (~p3(f15(c22),f12(X0,c21))|~sQ7_spl)),
% 0.09/5.56    inference(component_clause,[status(thm)],[f145])).
% 0.09/5.56  fof(f148,plain,(
% 0.09/5.56    ~sQ6_spl|sQ7_spl|~sQ2_spl),
% 0.09/5.56    inference(split_clause,[status(thm)],[f140,f142,f145,f114])).
% 0.09/5.56  fof(f149,plain,(
% 0.09/5.56    $false|sQ3_spl),
% 0.09/5.56    inference(forward_subsumption_resolution,[status(thm)],[f119,f32])).
% 0.09/5.56  fof(f150,plain,(
% 0.09/5.56    sQ3_spl),
% 0.09/5.56    inference(contradiction_clause,[status(thm)],[f149])).
% 0.09/5.56  fof(f151,plain,(
% 0.09/5.56    $false|sQ6_spl),
% 0.09/5.56    inference(forward_subsumption_resolution,[status(thm)],[f144,f34])).
% 0.09/5.56  fof(f152,plain,(
% 0.09/5.56    sQ6_spl),
% 0.09/5.56    inference(contradiction_clause,[status(thm)],[f151])).
% 0.09/5.56  fof(f153,plain,(
% 0.09/5.56    ![X0,X1]: (~p3(X0,f15(c22))|~p3(X0,f12(X1,c21))|~sQ7_spl)),
% 0.09/5.56    inference(resolution,[status(thm)],[f146,f52])).
% 0.09/5.56  fof(f156,plain,(
% 0.09/5.56    ![X0]: (~p3(f12(X0,c21),f15(c22))|~sQ7_spl)),
% 0.09/5.56    inference(resolution,[status(thm)],[f153,f34])).
% 0.09/5.56  fof(f157,plain,(
% 0.09/5.56    $false|~sQ7_spl),
% 0.09/5.56    inference(backward_subsumption_resolution,[status(thm)],[f38,f156])).
% 0.09/5.56  fof(f158,plain,(
% 0.09/5.56    ~sQ7_spl),
% 0.09/5.56    inference(contradiction_clause,[status(thm)],[f157])).
% 0.09/5.56  fof(f159,plain,(
% 0.09/5.56    $false),
% 0.09/5.56    inference(sat_refutation,[status(thm)],[f120,f148,f150,f152,f158])).
% 0.09/5.56  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/5.58  % Elapsed time: 0.045428 seconds
% 0.09/5.58  % CPU time: 0.133789 seconds
% 0.09/5.58  % Total memory used: 18.183 MB
% 0.09/5.58  % Net memory used: 17.921 MB
%------------------------------------------------------------------------------