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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n007.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 03:09:03 PM UTC 2026

% Result   : Theorem 23.56s 4.12s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n007.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 21 09:48:05 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.81/1.13  % Drodi V4.1.1
% 23.56/4.12  % Refutation found
% 23.56/4.12  % SZS status Theorem for theBenchmark: Theorem is valid
% 23.56/4.12  % SZS output start CNFRefutation for theBenchmark
% 23.56/4.12  fof(f6,axiom,(
% 23.56/4.12    (! [V_b,V_pn] :( c_Com_OWT__bodies=> ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)=> hBOOL(hAPP(c_Com_OWT,V_b)) ) ) )),
% 23.56/4.12    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.56/4.12  fof(f5242,hypothesis,(
% 23.56/4.12    c_Com_OWT__bodies ),
% 23.56/4.12    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.56/4.12  fof(f5246,hypothesis,(
% 23.56/4.12    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ),
% 23.56/4.12    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.56/4.12  fof(f5248,conjecture,(
% 23.56/4.12    hBOOL(hAPP(c_Com_OWT,v_y)) ),
% 23.56/4.12    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.56/4.12  fof(f5249,negated_conjecture,(
% 23.56/4.12    ~(hBOOL(hAPP(c_Com_OWT,v_y)) )),
% 23.56/4.12    inference(negated_conjecture,[status(cth)],[f5248])).
% 23.56/4.12  fof(f5264,plain,(
% 23.56/4.12    ![V_b,V_pn]: (~c_Com_OWT__bodies|(~hAPP(c_Com_Obody,V_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)|hBOOL(hAPP(c_Com_OWT,V_b))))),
% 23.56/4.12    inference(pre_NNF_transformation,[status(thm)],[f6])).
% 23.56/4.12  fof(f5265,plain,(
% 23.56/4.12    ~c_Com_OWT__bodies|(![V_b]: ((![V_pn]: ~hAPP(c_Com_Obody,V_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b))|hBOOL(hAPP(c_Com_OWT,V_b))))),
% 23.56/4.12    inference(miniscoping,[status(thm)],[f5264])).
% 23.56/4.12  fof(f5266,plain,(
% 23.56/4.12    ![X0,X1]: (~c_Com_OWT__bodies|~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|hBOOL(hAPP(c_Com_OWT,X1)))),
% 23.56/4.12    inference(cnf_transformation,[status(thm)],[f5265])).
% 23.56/4.12  fof(f19985,plain,(
% 23.56/4.12    c_Com_OWT__bodies),
% 23.56/4.12    inference(cnf_transformation,[status(thm)],[f5242])).
% 23.56/4.12  fof(f19989,plain,(
% 23.56/4.12    hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)),
% 23.56/4.12    inference(cnf_transformation,[status(thm)],[f5246])).
% 23.56/4.12  fof(f19991,plain,(
% 23.56/4.12    ~hBOOL(hAPP(c_Com_OWT,v_y))),
% 23.56/4.12    inference(cnf_transformation,[status(thm)],[f5249])).
% 23.56/4.12  fof(f20277,definition,(
% 23.56/4.12    sQ0_spl <=> (c_Com_OWT__bodies)),
% 23.56/4.12    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 23.56/4.12  fof(f20279,plain,(
% 23.56/4.12    ~c_Com_OWT__bodies|sQ0_spl),
% 23.56/4.12    inference(component_clause,[status(thm)],[f20277])).
% 23.56/4.12  fof(f20280,definition,(
% 23.56/4.12    ![X0,X1]: (sQ1_spl <=> (~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|hBOOL(hAPP(c_Com_OWT,X1))))),
% 23.56/4.12    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 23.56/4.12  fof(f20281,plain,(
% 23.56/4.12    ![X0,X1]: (~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|hBOOL(hAPP(c_Com_OWT,X1))|~sQ1_spl)),
% 23.56/4.12    inference(component_clause,[status(thm)],[f20280])).
% 23.56/4.12  fof(f20283,plain,(
% 23.56/4.12    ~sQ0_spl|sQ1_spl),
% 23.56/4.12    inference(split_clause,[status(thm)],[f5266,f20277,f20280])).
% 23.56/4.12  fof(f20882,plain,(
% 23.56/4.12    $false|sQ0_spl),
% 23.56/4.12    inference(forward_subsumption_resolution,[status(thm)],[f20279,f19985])).
% 23.56/4.12  fof(f20883,plain,(
% 23.56/4.12    sQ0_spl),
% 23.56/4.12    inference(contradiction_clause,[status(thm)],[f20882])).
% 23.56/4.12  fof(f22232,plain,(
% 23.56/4.12    ![X0]: (~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)|~sQ1_spl)),
% 23.56/4.12    inference(resolution,[status(thm)],[f20281,f19991])).
% 23.56/4.12  fof(f22235,plain,(
% 23.56/4.12    ![X0]: (~hAPP(c_Com_Obody,X0)=hAPP(c_Com_Obody,v_pn)|~sQ1_spl)),
% 23.56/4.12    inference(forward_demodulation,[status(thm)],[f19989,f22232])).
% 23.56/4.12  fof(f22265,plain,(
% 23.56/4.12    $false|~sQ1_spl),
% 23.56/4.12    inference(equality_resolution,[status(thm)],[f22235])).
% 23.56/4.12  fof(f22266,plain,(
% 23.56/4.12    ~sQ1_spl),
% 23.56/4.12    inference(contradiction_clause,[status(thm)],[f22265])).
% 23.56/4.12  fof(f22267,plain,(
% 23.56/4.12    $false),
% 23.56/4.12    inference(sat_refutation,[status(thm)],[f20283,f20883,f22266])).
% 23.56/4.12  % SZS output end CNFRefutation for theBenchmark.p
% 3.02/4.24  % Elapsed time: 3.860710 seconds
% 3.02/4.24  % CPU time: 24.116145 seconds
% 3.02/4.24  % Total memory used: 812.182 MB
% 3.02/4.24  % Net memory used: 799.481 MB
%------------------------------------------------------------------------------