TSTP Solution File: SWV324-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV324-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:46:42 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 13 unt; 0 def)
% Number of atoms : 75 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 26 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1400,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1437,axiom,
! [V_A,V_B,V_X,V_evs] :
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1440,axiom,
! [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1441,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1472,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1473,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1474,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1477,negated_conjecture,
( c_Public_OshrK(v_A) = v_K
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3011,plain,
! [V_Y,V_H] :
( ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f1400]) ).
fof(f3012,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f3011]) ).
fof(f3057,plain,
! [V_X,V_evs] :
( ! [V_A,V_B] : ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f1437]) ).
fof(f3058,plain,
! [X0,X1,X2,X3] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f3057]) ).
fof(f3063,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1440]) ).
fof(f3064,plain,
! [V_X,V_H] :
( ! [V_K] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f1441]) ).
fof(f3065,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f3064]) ).
fof(f3102,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(esa)],[f1472]) ).
fof(f3103,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(esa)],[f1473]) ).
fof(f3104,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1474]) ).
fof(f3107,plain,
( c_Public_OshrK(v_A) = v_K
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(cnf_transformation,[status(esa)],[f1477]) ).
fof(f3108,plain,
( spl0_0
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(split_symbol_definition) ).
fof(f3109,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f3108]) ).
fof(f3111,plain,
( spl0_1
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f3113,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| spl0_1 ),
inference(component_clause,[status(thm)],[f3111]) ).
fof(f3114,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f3104,f3108,f3111]) ).
fof(f3116,plain,
( spl0_2
<=> c_Public_OshrK(v_A) = v_K ),
introduced(split_symbol_definition) ).
fof(f3117,plain,
( c_Public_OshrK(v_A) = v_K
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f3116]) ).
fof(f3120,plain,
( spl0_2
| spl0_0 ),
inference(split_clause,[status(thm)],[f3107,f3116,f3108]) ).
fof(f3132,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3109,f3103]) ).
fof(f3133,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f3132]) ).
fof(f3134,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f3117,f3113]) ).
fof(f3137,plain,
( spl0_5
<=> v_K = v_K ),
introduced(split_symbol_definition) ).
fof(f3139,plain,
( v_K != v_K
| spl0_5 ),
inference(component_clause,[status(thm)],[f3137]) ).
fof(f3145,plain,
( $false
| spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f3139]) ).
fof(f3146,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f3145]) ).
fof(f3174,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3058,f3102]) ).
fof(f3186,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3174,f3063]) ).
fof(f3209,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3186,f3012]) ).
fof(f3276,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3209,f3012]) ).
fof(f3371,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3276,f3065]) ).
fof(f3378,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3371,f3012]) ).
fof(f3379,plain,
( $false
| ~ spl0_2
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3378,f3134]) ).
fof(f3380,plain,
( ~ spl0_2
| spl0_1 ),
inference(contradiction_clause,[status(thm)],[f3379]) ).
fof(f3381,plain,
$false,
inference(sat_refutation,[status(thm)],[f3114,f3120,f3133,f3146,f3380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV324-1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:02:02 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.39 % Drodi V3.6.0
% 0.21/0.42 % Refutation found
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.43 % Elapsed time: 0.075025 seconds
% 0.21/0.43 % CPU time: 0.159339 seconds
% 0.21/0.43 % Total memory used: 30.108 MB
% 0.21/0.43 % Net memory used: 30.028 MB
%------------------------------------------------------------------------------