TSTP Solution File: SWV274-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV274-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:41:08 EDT 2023

% Result   : Unsatisfiable 19.54s 2.95s
% Output   : CNFRefutation 19.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV274-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 11:33:21 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.38  % Drodi V3.5.1
% 19.54/2.95  % Refutation found
% 19.54/2.95  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.54/2.95  % SZS output start CNFRefutation for theBenchmark
% 19.54/2.95  fof(f109,axiom,(
% 19.54/2.95    (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 19.54/2.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.54/2.95  fof(f110,axiom,(
% 19.54/2.95    (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 19.54/2.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.54/2.95  fof(f1336,axiom,(
% 19.54/2.95    (![V_a,V_b,V_A,T_a]: (( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)| c_in(V_a,V_A,T_a)| V_a = V_b ) ))),
% 19.54/2.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.54/2.95  fof(f1395,axiom,(
% 19.54/2.95    (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 19.54/2.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.54/2.95  fof(f1400,axiom,(
% 19.54/2.95    (![V_X,V_G,V_H]: (( ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 19.54/2.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.54/2.95  fof(f1401,negated_conjecture,(
% 19.54/2.95    c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
% 19.54/2.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.54/2.95  fof(f1402,negated_conjecture,(
% 19.54/2.95    c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
% 19.54/2.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.54/2.95  fof(f1403,negated_conjecture,(
% 19.54/2.95    ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
% 19.54/2.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.54/2.95  fof(f1544,plain,(
% 19.54/2.95    ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 19.54/2.95    inference(cnf_transformation,[status(esa)],[f109])).
% 19.54/2.95  fof(f1545,plain,(
% 19.54/2.95    ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 19.54/2.95    inference(cnf_transformation,[status(esa)],[f110])).
% 19.54/2.95  fof(f2848,plain,(
% 19.54/2.95    ![V_a,V_b]: ((![V_A,T_a]: (~c_in(V_a,c_insert(V_b,V_A,T_a),T_a)|c_in(V_a,V_A,T_a)))|V_a=V_b)),
% 19.54/2.95    inference(miniscoping,[status(esa)],[f1336])).
% 19.54/2.95  fof(f2849,plain,(
% 19.54/2.95    ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 19.54/2.95    inference(cnf_transformation,[status(esa)],[f2848])).
% 19.54/2.95  fof(f2927,plain,(
% 19.54/2.95    ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 19.54/2.95    inference(cnf_transformation,[status(esa)],[f1395])).
% 19.54/2.95  fof(f2933,plain,(
% 19.54/2.95    ![V_X,V_H]: ((![V_G]: (~c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)|~c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))))|c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))),
% 19.54/2.95    inference(miniscoping,[status(esa)],[f1400])).
% 19.54/2.95  fof(f2934,plain,(
% 19.54/2.95    ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|~c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))|c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))),
% 19.54/2.95    inference(cnf_transformation,[status(esa)],[f2933])).
% 19.54/2.95  fof(f2935,plain,(
% 19.54/2.95    c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 19.54/2.95    inference(cnf_transformation,[status(esa)],[f1401])).
% 19.54/2.95  fof(f2936,plain,(
% 19.54/2.95    c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)),
% 19.54/2.95    inference(cnf_transformation,[status(esa)],[f1402])).
% 19.54/2.95  fof(f2937,plain,(
% 19.54/2.95    ~c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)),
% 19.54/2.95    inference(cnf_transformation,[status(esa)],[f1403])).
% 19.54/2.95  fof(f3075,plain,(
% 19.54/2.95    ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X0,tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)|c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg))),
% 19.54/2.95    inference(resolution,[status(thm)],[f1544,f2934])).
% 19.54/2.95  fof(f3080,plain,(
% 19.54/2.95    ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)|c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg))),
% 19.54/2.95    inference(resolution,[status(thm)],[f1545,f2934])).
% 19.54/2.95  fof(f3109,plain,(
% 19.54/2.95    ![X0]: (c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)|c_in(v_Y,c_Message_Osynth(X0),tc_Message_Omsg))),
% 19.54/3.00    inference(resolution,[status(thm)],[f3075,f2935])).
% 19.54/3.00  fof(f3136,plain,(
% 19.54/3.00    ![X0]: (c_in(v_Y,c_Message_Osynth(X0),tc_Message_Omsg)|c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg),v_H,tc_Message_Omsg)|c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg)=v_X)),
% 19.54/3.00    inference(resolution,[status(thm)],[f3109,f2849])).
% 19.54/3.00  fof(f3198,plain,(
% 19.54/3.00    spl0_10 <=> c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)=v_X),
% 19.54/3.00    introduced(split_symbol_definition)).
% 19.54/3.00  fof(f3199,plain,(
% 19.54/3.00    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)=v_X|~spl0_10),
% 19.54/3.00    inference(component_clause,[status(thm)],[f3198])).
% 19.54/3.00  fof(f3254,plain,(
% 19.54/3.00    spl0_18 <=> c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)),
% 19.54/3.00    introduced(split_symbol_definition)).
% 19.54/3.00  fof(f3255,plain,(
% 19.54/3.00    c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)|~spl0_18),
% 19.54/3.00    inference(component_clause,[status(thm)],[f3254])).
% 19.54/3.00  fof(f3674,plain,(
% 19.54/3.00    ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(X2),tc_Message_Omsg),X2,tc_Message_Omsg))),
% 19.54/3.00    inference(resolution,[status(thm)],[f3080,f2927])).
% 19.54/3.00  fof(f3792,plain,(
% 19.54/3.00    spl0_35 <=> c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)),
% 19.54/3.00    introduced(split_symbol_definition)).
% 19.54/3.00  fof(f3794,plain,(
% 19.54/3.00    ~c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)|spl0_35),
% 19.54/3.00    inference(component_clause,[status(thm)],[f3792])).
% 19.54/3.00  fof(f3795,plain,(
% 19.54/3.00    spl0_36 <=> ~c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg)),
% 19.54/3.00    introduced(split_symbol_definition)).
% 19.54/3.00  fof(f3796,plain,(
% 19.54/3.00    ![X0]: (~c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg)|~spl0_36)),
% 19.54/3.00    inference(component_clause,[status(thm)],[f3795])).
% 19.54/3.00  fof(f3798,plain,(
% 19.54/3.00    ![X0]: (~c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)|~c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg)|~spl0_10)),
% 19.54/3.00    inference(paramodulation,[status(thm)],[f3199,f3080])).
% 19.54/3.00  fof(f3799,plain,(
% 19.54/3.00    ~spl0_35|spl0_36|~spl0_10),
% 19.54/3.00    inference(split_clause,[status(thm)],[f3798,f3792,f3795,f3198])).
% 19.54/3.00  fof(f3800,plain,(
% 19.54/3.00    $false|spl0_35),
% 19.54/3.00    inference(forward_subsumption_resolution,[status(thm)],[f3794,f2936])).
% 19.54/3.00  fof(f3801,plain,(
% 19.54/3.00    spl0_35),
% 19.54/3.00    inference(contradiction_clause,[status(thm)],[f3800])).
% 19.54/3.00  fof(f4072,plain,(
% 19.54/3.00    ~c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~spl0_36),
% 19.54/3.00    inference(resolution,[status(thm)],[f3796,f2937])).
% 19.54/3.00  fof(f4073,plain,(
% 19.54/3.00    $false|~spl0_36),
% 19.54/3.00    inference(forward_subsumption_resolution,[status(thm)],[f4072,f2935])).
% 19.54/3.00  fof(f4074,plain,(
% 19.54/3.00    ~spl0_36),
% 19.54/3.00    inference(contradiction_clause,[status(thm)],[f4073])).
% 19.54/3.00  fof(f4141,plain,(
% 19.54/3.00    ![X0]: (~c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg)|c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)|c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)=v_X)),
% 19.54/3.00    inference(resolution,[status(thm)],[f3674,f3136])).
% 19.54/3.00  fof(f4142,plain,(
% 19.54/3.00    spl0_36|spl0_18|spl0_10),
% 19.54/3.00    inference(split_clause,[status(thm)],[f4141,f3795,f3254,f3198])).
% 19.54/3.00  fof(f4172,plain,(
% 19.54/3.00    $false|~spl0_18),
% 19.54/3.00    inference(forward_subsumption_resolution,[status(thm)],[f3255,f2937])).
% 19.54/3.00  fof(f4173,plain,(
% 19.54/3.00    ~spl0_18),
% 19.54/3.00    inference(contradiction_clause,[status(thm)],[f4172])).
% 19.54/3.00  fof(f4174,plain,(
% 19.54/3.00    $false),
% 19.54/3.00    inference(sat_refutation,[status(thm)],[f3799,f3801,f4074,f4142,f4173])).
% 19.54/3.00  % SZS output end CNFRefutation for theBenchmark.p
% 20.13/3.05  % Elapsed time: 2.693373 seconds
% 20.13/3.05  % CPU time: 20.018436 seconds
% 20.13/3.05  % Memory used: 370.738 MB
%------------------------------------------------------------------------------