%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV731-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 : Fri Jul 25 04:47:34 PM UTC 2025
% Result : Unsatisfiable 227.01s 28.84s
% Output : CNFRefutation 227.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_3)
% Comments :
%------------------------------------------------------------------------------
cnf(604,plain,
( v_X != c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))
| hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat))) ),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l0,plain,
( v_X != c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))
| hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat))) ),
inference(instantiation,[status(thm)],[604]) ).
cnf(385,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))))),c_List_Oset(X6,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared))
| X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X0))) ),
inference(cnf,[status(esa)],[cls_Says__Server__message__form_1]) ).
cnf(l1,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))),c_List_Oset(v_evs,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared))
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))) ),
inference(instantiation,[status(thm)],[385]) ).
cnf(552,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X5),c_NS__Shared__Mirabelle_Ons__shared))
| hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),X0),c_Event_Obad))
| hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))))),c_List_Oset(X5,tc_Event_Oevent))) ),
inference(cnf,[status(esa)],[cls_A__trusts__NS2_0]) ).
cnf(l28,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared))
| hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad))
| hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))),c_List_Oset(v_evs,tc_Event_Oevent))) ),
inference(instantiation,[status(thm)],[552]) ).
cnf(603,plain,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l30,plain,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
inference(instantiation,[status(thm)],[603]) ).
cnf(531,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X0),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),X5)))))),c_List_Oset(X6,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared)) ),
inference(cnf,[status(esa)],[cls_Says__Server__message__form_0]) ).
cnf(l44,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))),c_List_Oset(v_evs,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)) ),
inference(instantiation,[status(thm)],[531]) ).
cnf(601,plain,
hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l29,plain,
hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),
inference(instantiation,[status(thm)],[601]) ).
cnf(l2,plain,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
inference(instantiation,[status(thm)],[603]) ).
cnf(602,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l31,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
inference(instantiation,[status(thm)],[602]) ).
cnf(l69,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared))
| hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad))
| hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))),c_List_Oset(v_evs,tc_Event_Oevent))) ),
inference(instantiation,[status(thm)],[552]) ).
cnf(l75,plain,
hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),
inference(instantiation,[status(thm)],[601]) ).
cnf(l70,plain,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
inference(instantiation,[status(thm)],[603]) ).
cnf(l73,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
inference(instantiation,[status(thm)],[602]) ).
cnf(l47,plain,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
inference(instantiation,[status(thm)],[603]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l28,l30,l44,l29,l2,l31,l69,l75,l70,l73,l47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV731-1 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 11:45:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % launching worker at depth: 1
% 0.12/0.37 % launching worker at depth: 2
% 0.12/0.37 % launching worker at depth: 3
% 0.12/0.37 % launching worker at depth: 7
% 0.12/0.37 % launching worker at depth: 4
% 0.12/0.37 % launching worker at depth: 5
% 0.12/0.37 % launching worker at depth: 8
% 0.12/0.37 % launching worker at depth: 6
% 0.12/0.38 % launching worker at depth: 9
% 1.81/0.59 % launching worker at depth: 10
% 227.01/28.84 % SZS status Theorem for theBenchmark
% 227.01/28.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------