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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN591-1 : 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 : n010.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 03:20:12 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN591-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42  % Computer : n010.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.42  % CPULimit : 300
% 0.17/0.42  % WCLimit  : 300
% 0.17/0.42  % DateTime : Mon Sep 21 11:09:55 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.44  % Drodi V4.1.1
% 0.17/0.47  % Refutation found
% 0.17/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.47  % SZS output start CNFRefutation for theBenchmark
% 0.17/0.47  fof(f3,negated_conjecture,(
% 0.17/0.47    (![X30]: (p7(X30,X30) ))),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f4,negated_conjecture,(
% 0.17/0.47    (![X15]: (p2(X15,X15) ))),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f11,negated_conjecture,(
% 0.17/0.47    p12(c14,f4(c18,c17)) ),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f12,negated_conjecture,(
% 0.17/0.47    ~ p11(c13,f4(c17,f6(c18))) ),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f13,negated_conjecture,(
% 0.17/0.47    ~ p11(c13,f4(f6(c18),c17)) ),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f20,negated_conjecture,(
% 0.17/0.47    (![X16,X17,X15]: (( p2(X16,X17)| ~ p2(X15,X16)| ~ p2(X15,X17) ) ))),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f22,negated_conjecture,(
% 0.17/0.47    (![X20]: (( p2(f6(X20),f5(X20))| ~ p12(c14,f4(X20,c17)) ) ))),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f25,negated_conjecture,(
% 0.17/0.47    (![X5,X6,X8,X7]: (( p11(X5,X6)| ~ p3(X8,X6)| ~ p7(X7,X5)| ~ p11(X7,X8) ) ))),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f26,negated_conjecture,(
% 0.17/0.47    (![X26,X27,X28,X29]: (( p3(f4(X26,X27),f4(X28,X29))| ~ p2(X26,X28)| ~ p2(X27,X29) ) ))),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f27,negated_conjecture,(
% 0.17/0.47    (![X9]: (( p11(c13,f4(c17,f5(X9)))| p11(c13,f4(f5(X9),c17))| ~ p12(c14,f4(X9,c17)) ) ))),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47  fof(f30,plain,(
% 0.17/0.47    ![X0]: (p7(X0,X0))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.47  fof(f31,plain,(
% 0.17/0.47    ![X0]: (p2(X0,X0))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.47  fof(f38,plain,(
% 0.17/0.47    p12(c14,f4(c18,c17))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/0.47  fof(f39,plain,(
% 0.17/0.47    ~p11(c13,f4(c17,f6(c18)))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/0.47  fof(f40,plain,(
% 0.17/0.47    ~p11(c13,f4(f6(c18),c17))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.47  fof(f48,plain,(
% 0.17/0.47    ![X17,X15]: ((![X16]: (p2(X16,X17)|~p2(X15,X16)))|~p2(X15,X17))),
% 0.17/0.47    inference(miniscoping,[status(thm)],[f20])).
% 0.17/0.47  fof(f49,plain,(
% 0.17/0.47    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f48])).
% 0.17/0.47  fof(f52,plain,(
% 0.17/0.47    ![X0]: (p2(f6(X0),f5(X0))|~p12(c14,f4(X0,c17)))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f22])).
% 0.17/0.47  fof(f57,plain,(
% 0.17/0.47    ![X8,X7]: ((![X5]: ((![X6]: (p11(X5,X6)|~p3(X8,X6)))|~p7(X7,X5)))|~p11(X7,X8))),
% 0.17/0.47    inference(miniscoping,[status(thm)],[f25])).
% 0.17/0.47  fof(f58,plain,(
% 0.17/0.47    ![X0,X1,X2,X3]: (p11(X0,X1)|~p3(X2,X1)|~p7(X3,X0)|~p11(X3,X2))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f57])).
% 0.17/0.47  fof(f59,plain,(
% 0.17/0.47    ![X27,X29]: ((![X26,X28]: (p3(f4(X26,X27),f4(X28,X29))|~p2(X26,X28)))|~p2(X27,X29))),
% 0.17/0.47    inference(miniscoping,[status(thm)],[f26])).
% 0.17/0.47  fof(f60,plain,(
% 0.17/0.47    ![X0,X1,X2,X3]: (p3(f4(X0,X1),f4(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f59])).
% 0.17/0.47  fof(f61,plain,(
% 0.17/0.47    ![X0]: (p11(c13,f4(c17,f5(X0)))|p11(c13,f4(f5(X0),c17))|~p12(c14,f4(X0,c17)))),
% 0.17/0.47    inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.47  fof(f69,plain,(
% 0.17/0.47    p11(c13,f4(c17,f5(c18)))|p11(c13,f4(f5(c18),c17))),
% 0.17/0.47    inference(resolution,[status(thm)],[f61,f38])).
% 0.17/0.47  fof(f70,definition,(
% 0.17/0.47    sQ0_spl <=> (p11(c13,f4(c17,f5(c18))))),
% 0.17/0.47    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.47  fof(f71,plain,(
% 0.17/0.47    p11(c13,f4(c17,f5(c18)))|~sQ0_spl),
% 0.17/0.47    inference(component_clause,[status(thm)],[f70])).
% 0.17/0.47  fof(f73,definition,(
% 0.17/0.47    sQ1_spl <=> (p11(c13,f4(f5(c18),c17)))),
% 0.17/0.47    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.47  fof(f74,plain,(
% 0.17/0.47    p11(c13,f4(f5(c18),c17))|~sQ1_spl),
% 0.17/0.47    inference(component_clause,[status(thm)],[f73])).
% 0.17/0.47  fof(f76,plain,(
% 0.17/0.47    sQ0_spl|sQ1_spl),
% 0.17/0.47    inference(split_clause,[status(thm)],[f69,f70,f73])).
% 0.17/0.47  fof(f79,plain,(
% 0.17/0.47    ![X0,X1]: (p2(X0,X1)|~p2(X1,X0))),
% 0.17/0.47    inference(resolution,[status(thm)],[f49,f31])).
% 0.17/0.47  fof(f82,plain,(
% 0.17/0.47    p2(f6(c18),f5(c18))),
% 0.17/0.47    inference(resolution,[status(thm)],[f52,f38])).
% 0.17/0.47  fof(f87,plain,(
% 0.17/0.48    p2(f5(c18),f6(c18))),
% 0.17/0.48    inference(resolution,[status(thm)],[f82,f79])).
% 0.17/0.48  fof(f122,plain,(
% 0.17/0.48    ![X0,X1,X2]: (p11(X0,X1)|~p3(X2,X1)|~p11(X0,X2))),
% 0.17/0.48    inference(resolution,[status(thm)],[f58,f30])).
% 0.17/0.48  fof(f127,plain,(
% 0.17/0.48    ![X0]: (p11(c13,X0)|~p3(f4(c17,f5(c18)),X0)|~sQ0_spl)),
% 0.17/0.48    inference(resolution,[status(thm)],[f122,f71])).
% 0.17/0.48  fof(f133,plain,(
% 0.17/0.48    ![X0,X1]: (p3(f4(X0,f5(c18)),f4(X1,f6(c18)))|~p2(X0,X1))),
% 0.17/0.48    inference(resolution,[status(thm)],[f60,f87])).
% 0.17/0.48  fof(f137,plain,(
% 0.17/0.48    ![X0,X1,X2]: (p3(f4(X0,X1),f4(X2,X1))|~p2(X0,X2))),
% 0.17/0.48    inference(resolution,[status(thm)],[f60,f31])).
% 0.17/0.48  fof(f140,plain,(
% 0.17/0.48    ![X0]: (p3(f4(f5(c18),X0),f4(f6(c18),X0)))),
% 0.17/0.48    inference(resolution,[status(thm)],[f137,f87])).
% 0.17/0.48  fof(f267,plain,(
% 0.17/0.48    ![X0]: (p3(f4(X0,f5(c18)),f4(X0,f6(c18))))),
% 0.17/0.48    inference(resolution,[status(thm)],[f133,f31])).
% 0.17/0.48  fof(f306,plain,(
% 0.17/0.48    p11(c13,f4(c17,f6(c18)))|~sQ0_spl),
% 0.17/0.48    inference(resolution,[status(thm)],[f267,f127])).
% 0.17/0.48  fof(f311,plain,(
% 0.17/0.48    $false|~sQ0_spl),
% 0.17/0.48    inference(forward_subsumption_resolution,[status(thm)],[f306,f39])).
% 0.17/0.48  fof(f312,plain,(
% 0.17/0.48    ~sQ0_spl),
% 0.17/0.48    inference(contradiction_clause,[status(thm)],[f311])).
% 0.17/0.48  fof(f313,plain,(
% 0.17/0.48    ![X0]: (p11(c13,X0)|~p3(f4(f5(c18),c17),X0)|~sQ1_spl)),
% 0.17/0.48    inference(resolution,[status(thm)],[f74,f122])).
% 0.17/0.48  fof(f315,plain,(
% 0.17/0.48    p11(c13,f4(f6(c18),c17))|~sQ1_spl),
% 0.17/0.48    inference(resolution,[status(thm)],[f313,f140])).
% 0.17/0.48  fof(f317,plain,(
% 0.17/0.48    $false|~sQ1_spl),
% 0.17/0.48    inference(forward_subsumption_resolution,[status(thm)],[f315,f40])).
% 0.17/0.48  fof(f318,plain,(
% 0.17/0.48    ~sQ1_spl),
% 0.17/0.48    inference(contradiction_clause,[status(thm)],[f317])).
% 0.17/0.48  fof(f319,plain,(
% 0.17/0.48    $false),
% 0.17/0.48    inference(sat_refutation,[status(thm)],[f76,f312,f318])).
% 0.17/0.48  % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.50  % Elapsed time: 0.069773 seconds
% 0.17/0.50  % CPU time: 0.198997 seconds
% 0.17/0.50  % Total memory used: 18.461 MB
% 0.17/0.50  % Net memory used: 18.095 MB
%------------------------------------------------------------------------------