%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV287-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:47:10 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 20 unt; 6 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 56 ~; 57 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-5 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1471,axiom,
! [V_evs,V_B_H,V_A,V_NA,V_K,V_B] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(v_sko__u8o(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1473,axiom,
! [V_evs,V_B,V_NA,V_A,V_K,V_NB] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1474,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1475,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1476,negated_conjecture,
! [V_U] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1477,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1478,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1479,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1480,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3104,plain,
! [V_evs,V_A,V_NA,V_K,V_B] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(v_sko__u8o(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ! [V_B_H] : ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(miniscoping,[status(thm)],[f1471]) ).
fof(f3105,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(v_sko__u8o(X2,X5,X4,X3,X0),c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(X2,X5,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnf_transformation,[status(thm)],[f3104]) ).
fof(f3108,plain,
! [V_evs,V_NA,V_K,V_NB] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ! [V_A] :
( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ! [V_B] :
( c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ) ) ),
inference(miniscoping,[status(thm)],[f1473]) ).
fof(f3109,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnf_transformation,[status(thm)],[f3108]) ).
fof(f3110,plain,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f1474]) ).
fof(f3111,plain,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f1475]) ).
fof(f3112,plain,
! [X0] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f1476]) ).
fof(f3113,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f1477]) ).
fof(f3114,plain,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f1478]) ).
fof(f3115,plain,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[status(thm)],[f1479]) ).
fof(f3116,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f1480]) ).
fof(f3140,plain,
! [X0,X1,X2,X3,X4] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[f3114,f3109]) ).
fof(f3144,plain,
! [X0,X1,X2,X3] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X2)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X2))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X2)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[f3140,f3113]) ).
fof(f3177,definition,
( sQ2_spl
<=> c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f3179,plain,
( sQ2_spl
| ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(component_clause,[status(thm)],[f3177]) ).
fof(f3183,definition,
( sQ4_spl
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f3185,plain,
( sQ4_spl
| ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f3183]) ).
fof(f3192,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3185,f3116]) ).
fof(f3193,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f3192]) ).
fof(f3194,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3179,f3115]) ).
fof(f3195,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f3194]) ).
fof(f3216,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[f3144,f3112]) ).
fof(f3218,definition,
! [X0] :
( sQ10_spl
<=> ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f3219,plain,
! [X0] :
( ~ sQ10_spl
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(component_clause,[status(thm)],[f3218]) ).
fof(f3221,plain,
( ~ sQ4_spl
| sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3216,f3177,f3218,f3183]) ).
fof(f3261,definition,
! [X0] :
( sQ12_spl
<=> ~ c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f3262,plain,
! [X0] :
( ~ sQ12_spl
| ~ c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(component_clause,[status(thm)],[f3261]) ).
fof(f3267,definition,
( sQ14_spl
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f3268,plain,
( ~ sQ14_spl
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(component_clause,[status(thm)],[f3267]) ).
fof(f3271,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3268,f3113]) ).
fof(f3272,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f3271]) ).
fof(f3273,plain,
( ~ sQ12_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3111,f3262]) ).
fof(f3274,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f3273]) ).
fof(f3297,plain,
! [X0] :
( ~ sQ10_spl
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[f3219,f3105]) ).
fof(f3300,definition,
( sQ19_spl
<=> c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f3302,plain,
( sQ19_spl
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(component_clause,[status(thm)],[f3300]) ).
fof(f3303,plain,
( ~ sQ10_spl
| sQ14_spl
| ~ sQ19_spl
| sQ12_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3297,f3177,f3261,f3300,f3267,f3218]) ).
fof(f3304,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3302,f3110]) ).
fof(f3305,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f3304]) ).
fof(f3306,plain,
$false,
inference(sat_refutation,[status(thm)],[f3193,f3195,f3221,f3272,f3274,f3303,f3305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV287-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:38:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.43 % Drodi V4.1.1
% 0.21/0.54 % Refutation found
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.59 % Elapsed time: 0.198470 seconds
% 0.21/0.59 % CPU time: 0.924862 seconds
% 0.21/0.59 % Total memory used: 173.627 MB
% 0.21/0.59 % Net memory used: 172.903 MB
%------------------------------------------------------------------------------