TSTP Solution File: SWV335-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV335-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:41:23 EDT 2023

% Result   : Unsatisfiable 0.14s 0.32s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SWV335-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n029.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 11:56:52 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.14/0.31  % Drodi V3.5.1
% 0.14/0.32  % Refutation found
% 0.14/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.32  fof(f1,negated_conjecture,(
% 0.14/0.32    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f2,negated_conjecture,(
% 0.14/0.32    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f3,negated_conjecture,(
% 0.14/0.32    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f4,negated_conjecture,(
% 0.14/0.32    ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f5,axiom,(
% 0.14/0.32    (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ))),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f6,axiom,(
% 0.14/0.32    (![V_Z,V_X,V_H]: (( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ))),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f7,axiom,(
% 0.14/0.32    (![V_n,V_H]: (( ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg) ) ))),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f8,axiom,(
% 0.14/0.32    (![V_c,V_H]: (( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f9,axiom,(
% 0.14/0.32    (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,V_A,T_a) ) ))),
% 0.14/0.32    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f10,plain,(
% 0.14/0.32    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.32  fof(f11,plain,(
% 0.14/0.32    ~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.32  fof(f12,plain,(
% 0.14/0.32    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.32  fof(f13,plain,(
% 0.14/0.32    ~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.32  fof(f14,plain,(
% 0.14/0.32    ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.32  fof(f15,plain,(
% 0.14/0.32    ![V_Z,V_H]: ((![V_X]: (~c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg))),
% 0.14/0.32    inference(miniscoping,[status(esa)],[f6])).
% 0.14/0.32  fof(f16,plain,(
% 0.14/0.32    ![X0,X1,X2]: (~c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg))),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.32  fof(f17,plain,(
% 0.14/0.32    ![X0,X1]: (~c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.32  fof(f18,plain,(
% 0.14/0.32    ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.32  fof(f19,plain,(
% 0.14/0.32    ![V_c,V_A,T_a]: ((![V_B]: (~c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)))|c_in(V_c,V_A,T_a))),
% 0.14/0.32    inference(miniscoping,[status(esa)],[f9])).
% 0.14/0.32  fof(f20,plain,(
% 0.14/0.32    ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.32  fof(f21,plain,(
% 0.14/0.32    ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_insert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))),
% 0.14/0.32    inference(resolution,[status(thm)],[f20,f16])).
% 0.14/0.32  fof(f22,plain,(
% 0.14/0.32    spl0_0 <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 0.14/0.32    introduced(split_symbol_definition)).
% 0.14/0.32  fof(f23,plain,(
% 0.14/0.32    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_0),
% 0.14/0.32    inference(component_clause,[status(thm)],[f22])).
% 0.14/0.32  fof(f25,plain,(
% 0.14/0.32    spl0_1 <=> ~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 0.14/0.32    introduced(split_symbol_definition)).
% 0.14/0.32  fof(f26,plain,(
% 0.14/0.32    ![X0]: (~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_1)),
% 0.14/0.32    inference(component_clause,[status(thm)],[f25])).
% 0.14/0.32  fof(f28,plain,(
% 0.14/0.32    ![X0]: (c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 0.14/0.32    inference(resolution,[status(thm)],[f21,f13])).
% 0.14/0.32  fof(f29,plain,(
% 0.14/0.32    spl0_0|spl0_1),
% 0.14/0.32    inference(split_clause,[status(thm)],[f28,f22,f25])).
% 0.14/0.32  fof(f30,plain,(
% 0.14/0.32    spl0_2 <=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 0.14/0.32    introduced(split_symbol_definition)).
% 0.14/0.32  fof(f31,plain,(
% 0.14/0.32    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_2),
% 0.14/0.32    inference(component_clause,[status(thm)],[f30])).
% 0.14/0.32  fof(f33,plain,(
% 0.14/0.32    spl0_3 <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 0.14/0.32    introduced(split_symbol_definition)).
% 0.14/0.32  fof(f34,plain,(
% 0.14/0.32    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_3),
% 0.14/0.32    inference(component_clause,[status(thm)],[f33])).
% 0.14/0.32  fof(f36,plain,(
% 0.14/0.32    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_0),
% 0.14/0.32    inference(resolution,[status(thm)],[f23,f14])).
% 0.14/0.32  fof(f37,plain,(
% 0.14/0.32    spl0_2|spl0_3|~spl0_0),
% 0.14/0.32    inference(split_clause,[status(thm)],[f36,f30,f33,f22])).
% 0.14/0.32  fof(f38,plain,(
% 0.14/0.32    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_3),
% 0.14/0.32    inference(resolution,[status(thm)],[f34,f18])).
% 0.14/0.32  fof(f39,plain,(
% 0.14/0.32    $false|~spl0_3),
% 0.14/0.32    inference(forward_subsumption_resolution,[status(thm)],[f38,f13])).
% 0.14/0.32  fof(f40,plain,(
% 0.14/0.32    ~spl0_3),
% 0.14/0.32    inference(contradiction_clause,[status(thm)],[f39])).
% 0.14/0.32  fof(f41,plain,(
% 0.14/0.32    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_2),
% 0.14/0.32    inference(resolution,[status(thm)],[f31,f17])).
% 0.14/0.32  fof(f42,plain,(
% 0.14/0.32    $false|~spl0_2),
% 0.14/0.32    inference(forward_subsumption_resolution,[status(thm)],[f41,f11])).
% 0.14/0.32  fof(f43,plain,(
% 0.14/0.32    ~spl0_2),
% 0.14/0.32    inference(contradiction_clause,[status(thm)],[f42])).
% 0.14/0.32  fof(f44,plain,(
% 0.14/0.32    ~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|~spl0_1),
% 0.14/0.32    inference(resolution,[status(thm)],[f26,f10])).
% 0.14/0.32  fof(f45,plain,(
% 0.14/0.32    $false|~spl0_1),
% 0.14/0.32    inference(forward_subsumption_resolution,[status(thm)],[f44,f12])).
% 0.14/0.32  fof(f46,plain,(
% 0.14/0.32    ~spl0_1),
% 0.14/0.32    inference(contradiction_clause,[status(thm)],[f45])).
% 0.14/0.32  fof(f47,plain,(
% 0.14/0.32    $false),
% 0.14/0.32    inference(sat_refutation,[status(thm)],[f29,f37,f40,f43,f46])).
% 0.14/0.32  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.53  % Elapsed time: 0.007971 seconds
% 0.14/0.53  % CPU time: 0.009200 seconds
% 0.14/0.53  % Memory used: 516.678 KB
%------------------------------------------------------------------------------