TSTP Solution File: SWV906-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 : Wed May 31 12:44:12 EDT 2023

% Result   : Unsatisfiable 0.10s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n017.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 11:10:25 EDT 2023
% 0.10/0.33  % CPUTime  : 
% 0.10/0.35  % Drodi V3.5.1
% 0.10/0.36  % Refutation found
% 0.10/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.36  fof(f159,axiom,(
% 0.10/0.36    (![V_m,V_a,T_b,T_a]: (( hAPP(V_m,V_a) != c_Option_Ooption_ONone(T_b)| ~ hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f427,axiom,(
% 0.10/0.36    (![V_m,V_a,V_b,T_a,T_b]: (( hAPP(V_m,V_a) != c_Option_Ooption_OSome(V_b,T_a)| hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f436,axiom,(
% 0.10/0.36    (![V_pn]: (( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))| hAPP(c_Com_Obody,V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f451,axiom,(
% 0.10/0.36    (![V_c]: (( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| ~ c_Com_OWT(V_c)| ~ c_Com_OWT__bodies| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f474,negated_conjecture,(
% 0.10/0.36    c_Hoare__Mirabelle_Ostate__not__singleton ),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f475,negated_conjecture,(
% 0.10/0.36    c_Com_OWT__bodies ),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f477,negated_conjecture,(
% 0.10/0.36    hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom) ),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f479,negated_conjecture,(
% 0.10/0.36    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f767,plain,(
% 0.10/0.36    ![V_m,V_a,T_b]: (~hAPP(V_m,V_a)=c_Option_Ooption_ONone(T_b)|(![T_a]: ~hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))))),
% 0.10/0.36    inference(miniscoping,[status(esa)],[f159])).
% 0.10/0.36  fof(f768,plain,(
% 0.10/0.36    ![X0,X1,X2,X3]: (~hAPP(X0,X1)=c_Option_Ooption_ONone(X2)|~hBOOL(c_in(X1,c_Map_Odom(X0,X3,X2),X3)))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f767])).
% 0.10/0.36  fof(f1157,plain,(
% 0.10/0.36    ![V_m,V_a,T_a]: ((![V_b]: ~hAPP(V_m,V_a)=c_Option_Ooption_OSome(V_b,T_a))|(![T_b]: hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b))))),
% 0.10/0.36    inference(miniscoping,[status(esa)],[f427])).
% 0.10/0.36  fof(f1158,plain,(
% 0.10/0.36    ![X0,X1,X2,X3,X4]: (~hAPP(X0,X1)=c_Option_Ooption_OSome(X2,X3)|hBOOL(c_in(X1,c_Map_Odom(X0,X4,X3),X4)))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f1157])).
% 0.10/0.36  fof(f1171,plain,(
% 0.10/0.36    ![X0]: (c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X0))|hAPP(c_Com_Obody,X0)=c_Option_Ooption_ONone(tc_Com_Ocom))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f436])).
% 0.10/0.36  fof(f1194,plain,(
% 0.10/0.36    ((![V_c]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Com_OWT(V_c)))|~c_Com_OWT__bodies)|~c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.10/0.36    inference(miniscoping,[status(esa)],[f451])).
% 0.10/0.36  fof(f1195,plain,(
% 0.10/0.36    ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Com_OWT(X0)|~c_Com_OWT__bodies|~c_Hoare__Mirabelle_Ostate__not__singleton)),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f1194])).
% 0.10/0.36  fof(f1230,plain,(
% 0.10/0.36    c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f474])).
% 0.19/0.58  fof(f1231,plain,(
% 0.19/0.58    c_Com_OWT__bodies),
% 0.19/0.58    inference(cnf_transformation,[status(esa)],[f475])).
% 0.19/0.58  fof(f1233,plain,(
% 0.19/0.58    hAPP(c_Com_Obody,v_pn)=c_Option_Ooption_OSome(v_y,tc_Com_Ocom)),
% 0.19/0.58    inference(cnf_transformation,[status(esa)],[f477])).
% 0.19/0.58  fof(f1235,plain,(
% 0.19/0.58    ~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)),
% 0.19/0.58    inference(cnf_transformation,[status(esa)],[f479])).
% 0.19/0.58  fof(f1286,plain,(
% 0.19/0.58    spl0_1 <=> c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.19/0.58    introduced(split_symbol_definition)).
% 0.19/0.58  fof(f1288,plain,(
% 0.19/0.58    ~c_Hoare__Mirabelle_Ostate__not__singleton|spl0_1),
% 0.19/0.58    inference(component_clause,[status(thm)],[f1286])).
% 0.19/0.58  fof(f1293,plain,(
% 0.19/0.58    spl0_3 <=> c_Com_OWT__bodies),
% 0.19/0.58    introduced(split_symbol_definition)).
% 0.19/0.58  fof(f1295,plain,(
% 0.19/0.58    ~c_Com_OWT__bodies|spl0_3),
% 0.19/0.58    inference(component_clause,[status(thm)],[f1293])).
% 0.19/0.58  fof(f1309,plain,(
% 0.19/0.58    spl0_7 <=> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Com_OWT(X0)),
% 0.19/0.58    introduced(split_symbol_definition)).
% 0.19/0.58  fof(f1310,plain,(
% 0.19/0.58    ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Com_OWT(X0)|~spl0_7)),
% 0.19/0.58    inference(component_clause,[status(thm)],[f1309])).
% 0.19/0.58  fof(f1312,plain,(
% 0.19/0.58    spl0_7|~spl0_3|~spl0_1),
% 0.19/0.58    inference(split_clause,[status(thm)],[f1195,f1309,f1293,f1286])).
% 0.19/0.58  fof(f1320,plain,(
% 0.19/0.58    $false|spl0_3),
% 0.19/0.58    inference(forward_subsumption_resolution,[status(thm)],[f1295,f1231])).
% 0.19/0.58  fof(f1321,plain,(
% 0.19/0.58    spl0_3),
% 0.19/0.58    inference(contradiction_clause,[status(thm)],[f1320])).
% 0.19/0.58  fof(f1322,plain,(
% 0.19/0.58    $false|spl0_1),
% 0.19/0.58    inference(forward_subsumption_resolution,[status(thm)],[f1288,f1230])).
% 0.19/0.58  fof(f1323,plain,(
% 0.19/0.58    spl0_1),
% 0.19/0.58    inference(contradiction_clause,[status(thm)],[f1322])).
% 0.19/0.58  fof(f1335,plain,(
% 0.19/0.58    ~c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn))|~spl0_7),
% 0.19/0.58    inference(resolution,[status(thm)],[f1310,f1235])).
% 0.19/0.58  fof(f1417,plain,(
% 0.19/0.58    ![X0,X1]: (~hBOOL(c_in(X0,c_Map_Odom(c_Com_Obody,X1,tc_Com_Ocom),X1))|c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X0)))),
% 0.19/0.58    inference(resolution,[status(thm)],[f768,f1171])).
% 0.19/0.58  fof(f1484,plain,(
% 0.19/0.58    ![X0]: (hBOOL(c_in(v_pn,c_Map_Odom(c_Com_Obody,X0,tc_Com_Ocom),X0)))),
% 0.19/0.58    inference(resolution,[status(thm)],[f1158,f1233])).
% 0.19/0.58  fof(f1506,plain,(
% 0.19/0.58    c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn))),
% 0.19/0.58    inference(resolution,[status(thm)],[f1417,f1484])).
% 0.19/0.58  fof(f1507,plain,(
% 0.19/0.58    $false|~spl0_7),
% 0.19/0.58    inference(forward_subsumption_resolution,[status(thm)],[f1506,f1335])).
% 0.19/0.58  fof(f1508,plain,(
% 0.19/0.58    ~spl0_7),
% 0.19/0.58    inference(contradiction_clause,[status(thm)],[f1507])).
% 0.19/0.58  fof(f1509,plain,(
% 0.19/0.58    $false),
% 0.19/0.58    inference(sat_refutation,[status(thm)],[f1312,f1321,f1323,f1508])).
% 0.19/0.58  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.58  % Elapsed time: 0.037234 seconds
% 0.19/0.58  % CPU time: 0.043322 seconds
% 0.19/0.58  % Memory used: 5.326 MB
%------------------------------------------------------------------------------