TSTP Solution File: SWW375+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW375+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:50:09 EDT 2024

% Result   : Theorem 7.88s 1.91s
% Output   : CNFRefutation 7.88s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWW375+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 23:09:20 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.75/0.92  % Drodi V3.6.0
% 7.88/1.91  % Refutation found
% 7.88/1.91  % SZS status Theorem for theBenchmark: Theorem is valid
% 7.88/1.91  % SZS output start CNFRefutation for theBenchmark
% 7.88/1.91  fof(f2,axiom,(
% 7.88/1.91    (! [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)) ) ) )),
% 7.88/1.91    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.88/1.91  fof(f5227,hypothesis,(
% 7.88/1.91    c_Com_OWT__bodies ),
% 7.88/1.91    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.88/1.91  fof(f5229,hypothesis,(
% 7.88/1.91    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ),
% 7.88/1.91    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.88/1.91  fof(f5230,conjecture,(
% 7.88/1.91    hBOOL(hAPP(c_Com_OWT,v_y)) ),
% 7.88/1.91    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.88/1.91  fof(f5231,negated_conjecture,(
% 7.88/1.91    ~(hBOOL(hAPP(c_Com_OWT,v_y)) )),
% 7.88/1.91    inference(negated_conjecture,[status(cth)],[f5230])).
% 7.88/1.91  fof(f5235,plain,(
% 7.88/1.91    ![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))))),
% 7.88/1.91    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 7.88/1.91  fof(f5236,plain,(
% 7.88/1.91    ~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))))),
% 7.88/1.91    inference(miniscoping,[status(esa)],[f5235])).
% 7.88/1.91  fof(f5237,plain,(
% 7.88/1.91    ![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)))),
% 7.88/1.91    inference(cnf_transformation,[status(esa)],[f5236])).
% 7.88/1.91  fof(f19820,plain,(
% 7.88/1.91    c_Com_OWT__bodies),
% 7.88/1.91    inference(cnf_transformation,[status(esa)],[f5227])).
% 7.88/1.91  fof(f19822,plain,(
% 7.88/1.91    hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)),
% 7.88/1.91    inference(cnf_transformation,[status(esa)],[f5229])).
% 7.88/1.91  fof(f19823,plain,(
% 7.88/1.91    ~hBOOL(hAPP(c_Com_OWT,v_y))),
% 7.88/1.91    inference(cnf_transformation,[status(esa)],[f5231])).
% 7.88/1.91  fof(f20073,plain,(
% 7.88/1.91    spl0_0 <=> c_Com_OWT__bodies),
% 7.88/1.91    introduced(split_symbol_definition)).
% 7.88/1.91  fof(f20075,plain,(
% 7.88/1.91    ~c_Com_OWT__bodies|spl0_0),
% 7.88/1.91    inference(component_clause,[status(thm)],[f20073])).
% 7.88/1.91  fof(f20076,plain,(
% 7.88/1.91    spl0_1 <=> ~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|hBOOL(hAPP(c_Com_OWT,X1))),
% 7.88/1.91    introduced(split_symbol_definition)).
% 7.88/1.91  fof(f20077,plain,(
% 7.88/1.91    ![X0,X1]: (~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|hBOOL(hAPP(c_Com_OWT,X1))|~spl0_1)),
% 7.88/1.91    inference(component_clause,[status(thm)],[f20076])).
% 7.88/1.91  fof(f20079,plain,(
% 7.88/1.91    ~spl0_0|spl0_1),
% 7.88/1.91    inference(split_clause,[status(thm)],[f5237,f20073,f20076])).
% 7.88/1.91  fof(f20680,plain,(
% 7.88/1.91    $false|spl0_0),
% 7.88/1.91    inference(forward_subsumption_resolution,[status(thm)],[f20075,f19820])).
% 7.88/1.91  fof(f20681,plain,(
% 7.88/1.91    spl0_0),
% 7.88/1.91    inference(contradiction_clause,[status(thm)],[f20680])).
% 7.88/1.91  fof(f27138,plain,(
% 7.88/1.91    hBOOL(hAPP(c_Com_OWT,v_y))|~spl0_1),
% 7.88/1.91    inference(resolution,[status(thm)],[f19822,f20077])).
% 7.88/1.91  fof(f27139,plain,(
% 7.88/1.91    $false|~spl0_1),
% 7.88/1.91    inference(forward_subsumption_resolution,[status(thm)],[f27138,f19823])).
% 7.88/1.91  fof(f27140,plain,(
% 7.88/1.91    ~spl0_1),
% 7.88/1.91    inference(contradiction_clause,[status(thm)],[f27139])).
% 7.88/1.91  fof(f27141,plain,(
% 7.88/1.91    $false),
% 7.88/1.91    inference(sat_refutation,[status(thm)],[f20079,f20681,f27140])).
% 7.88/1.91  % SZS output end CNFRefutation for theBenchmark.p
% 8.78/1.96  % Elapsed time: 1.586991 seconds
% 8.78/1.96  % CPU time: 7.905325 seconds
% 8.78/1.96  % Total memory used: 689.685 MB
% 8.78/1.96  % Net memory used: 686.039 MB
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