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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : HWV021-2 : 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 : n013.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 12:46:42 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV021-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35  % Computer : n013.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8046.5625MB
% 0.11/0.35  % OS       : Linux 6.8.0-71-generic
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Sun Sep 20 20:48:06 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.38  % Drodi V4.1.1
% 0.14/0.41  % Refutation found
% 0.14/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41  fof(f7,axiom,(
% 0.14/0.41    (![T_3]: (( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3))| fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0 ) ))),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f13,axiom,(
% 0.14/0.41    (![T_5]: (( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1)))| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ) ))),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f33,axiom,(
% 0.14/0.41    (![T_13]: (( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) ) ))),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f45,axiom,(
% 0.14/0.41    (![T_13]: (( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) ) ))),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f59,axiom,(
% 0.14/0.41    (![X_81]: (~ p_LES_EQU_(f_ADD_(X_81,n1),n0) ))),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f67,axiom,(
% 0.14/0.41    (![Y_93,X_92]: (( Y_93 = X_92| ~ p_LES_EQU_(X_92,Y_93)| p_LES_EQU_(f_ADD_(X_92,n1),Y_93) ) ))),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f134,negated_conjecture,(
% 0.14/0.41    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f135,negated_conjecture,(
% 0.14/0.41    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f136,negated_conjecture,(
% 0.14/0.41    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f137,negated_conjecture,(
% 0.14/0.41    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) ),
% 0.14/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41  fof(f144,plain,(
% 0.14/0.41    ![X0]: (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))|~fwork_DOTfifo_DOTrtl_DOTint__level_(X0)=n0)),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.41  fof(f150,plain,(
% 0.14/0.41    ![X0]: (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))|~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.41  fof(f177,plain,(
% 0.14/0.41    ![X0]: (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))|p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)|~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))|~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))|p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.41  fof(f193,plain,(
% 0.14/0.41    ![X0]: (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))|p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)|~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))|p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))|p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.41  fof(f210,plain,(
% 0.14/0.41    ![X0]: (~p_LES_EQU_(f_ADD_(X0,n1),n0))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f59])).
% 0.14/0.41  fof(f218,plain,(
% 0.14/0.41    ![X0,X1]: (X0=X1|~p_LES_EQU_(X1,X0)|p_LES_EQU_(f_ADD_(X1,n1),X0))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/0.41  fof(f298,plain,(
% 0.14/0.41    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1)))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f134])).
% 0.14/0.41  fof(f299,plain,(
% 0.14/0.41    ~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f135])).
% 0.14/0.41  fof(f300,plain,(
% 0.14/0.41    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f136])).
% 0.14/0.41  fof(f301,plain,(
% 0.14/0.41    ~p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))),
% 0.14/0.41    inference(cnf_transformation,[status(thm)],[f137])).
% 0.14/0.41  fof(f313,definition,(
% 0.14/0.41    sQ1_spl <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)))),
% 0.14/0.41    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41  fof(f315,plain,(
% 0.14/0.41    ~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))|sQ1_spl),
% 0.14/0.41    inference(component_clause,[status(thm)],[f313])).
% 0.14/0.41  fof(f341,definition,(
% 0.14/0.41    sQ8_spl <=> (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0))),
% 0.14/0.41    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.41  fof(f342,plain,(
% 0.14/0.41    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)|~sQ8_spl),
% 0.14/0.41    inference(component_clause,[status(thm)],[f341])).
% 0.14/0.41  fof(f344,definition,(
% 0.14/0.41    sQ9_spl <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
% 0.14/0.41    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.41  fof(f345,plain,(
% 0.14/0.41    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))|~sQ9_spl),
% 0.14/0.41    inference(component_clause,[status(thm)],[f344])).
% 0.14/0.41  fof(f348,plain,(
% 0.14/0.41    $false|~sQ9_spl),
% 0.14/0.41    inference(forward_subsumption_resolution,[status(thm)],[f345,f299])).
% 0.14/0.41  fof(f349,plain,(
% 0.14/0.41    ~sQ9_spl),
% 0.14/0.41    inference(contradiction_clause,[status(thm)],[f348])).
% 0.14/0.41  fof(f471,plain,(
% 0.14/0.41    n0=fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)|p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),n0)|~sQ8_spl),
% 0.14/0.41    inference(resolution,[status(thm)],[f342,f218])).
% 0.14/0.41  fof(f473,definition,(
% 0.14/0.41    sQ30_spl <=> (n0=fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.14/0.41    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.41  fof(f474,plain,(
% 0.14/0.41    n0=fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)|~sQ30_spl),
% 0.14/0.41    inference(component_clause,[status(thm)],[f473])).
% 0.14/0.41  fof(f476,definition,(
% 0.14/0.41    sQ31_spl <=> (p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),n0))),
% 0.14/0.41    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.41  fof(f477,plain,(
% 0.14/0.41    p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),n0)|~sQ31_spl),
% 0.14/0.41    inference(component_clause,[status(thm)],[f476])).
% 0.14/0.41  fof(f479,plain,(
% 0.14/0.41    sQ30_spl|sQ31_spl|~sQ8_spl),
% 0.14/0.41    inference(split_clause,[status(thm)],[f471,f473,f476,f341])).
% 0.14/0.41  fof(f480,plain,(
% 0.14/0.41    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))|~sQ30_spl),
% 0.14/0.41    inference(resolution,[status(thm)],[f474,f144])).
% 0.14/0.41  fof(f482,plain,(
% 0.14/0.41    $false|~sQ30_spl),
% 0.14/0.41    inference(forward_subsumption_resolution,[status(thm)],[f480,f301])).
% 0.14/0.41  fof(f483,plain,(
% 0.14/0.41    ~sQ30_spl),
% 0.14/0.41    inference(contradiction_clause,[status(thm)],[f482])).
% 0.14/0.41  fof(f520,plain,(
% 0.14/0.41    ![X0]: (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))|p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)|~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))|~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)))),
% 0.14/0.41    inference(forward_subsumption_resolution,[status(thm)],[f177,f150])).
% 0.14/0.41  fof(f735,plain,(
% 0.14/0.41    $false|~sQ31_spl),
% 0.14/0.41    inference(forward_subsumption_resolution,[status(thm)],[f477,f210])).
% 0.14/0.41  fof(f736,plain,(
% 0.14/0.41    ~sQ31_spl),
% 0.14/0.41    inference(contradiction_clause,[status(thm)],[f735])).
% 0.14/0.41  fof(f835,plain,(
% 0.14/0.41    ![X0]: (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))|p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)|~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))|p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)))),
% 0.14/0.41    inference(forward_subsumption_resolution,[status(thm)],[f193,f520])).
% 0.14/0.41  fof(f836,plain,(
% 0.14/0.41    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)|~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))|p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
% 0.14/0.41    inference(resolution,[status(thm)],[f835,f298])).
% 0.14/0.41  fof(f841,plain,(
% 0.14/0.41    sQ8_spl|~sQ1_spl|sQ9_spl),
% 0.14/0.41    inference(split_clause,[status(thm)],[f836,f341,f313,f344])).
% 0.14/0.41  fof(f846,plain,(
% 0.14/0.41    $false|sQ1_spl),
% 0.14/0.41    inference(forward_subsumption_resolution,[status(thm)],[f315,f300])).
% 0.14/0.41  fof(f847,plain,(
% 0.14/0.41    sQ1_spl),
% 0.14/0.41    inference(contradiction_clause,[status(thm)],[f846])).
% 0.14/0.41  fof(f848,plain,(
% 0.14/0.41    $false),
% 0.14/0.41    inference(sat_refutation,[status(thm)],[f349,f479,f483,f736,f841,f847])).
% 0.14/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43  % Elapsed time: 0.071493 seconds
% 0.14/0.43  % CPU time: 0.215001 seconds
% 0.14/0.43  % Total memory used: 110.939 MB
% 0.14/0.43  % Net memory used: 110.727 MB
%------------------------------------------------------------------------------