%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV732-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:59:49 PM UTC 2026
% Result : Unsatisfiable 2.37s 1.03s
% Output : CNFRefutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 55 ( 21 unt; 3 nHn; 47 RR)
% Number of literals : 104 ( 9 equ; 51 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 17 con; 0-4 aty)
% Number of variables : 110 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Says__imp__analz__Spy_0,axiom,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
cnf(cls_analz_OSnd_0,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
cnf(cls_analz_OInj_0,axiom,
( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
cnf(cls_Crypt__Spy__analz__bad_0,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
cnf(cls_analz__idem_0,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(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',cls_conjecture_2) ).
cnf(cls_cert__A__form_1,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
cnf(cls_cert__A__form_0,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
cnf(cls_conjecture_3,negated_conjecture,
( 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(c_in(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),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_14,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_15,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_16,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_14 ).
cnf(c_0_17,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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),tc_Event_Oevent)),
cls_conjecture_0 ).
cnf(c_0_18,plain,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Says__imp__analz__Spy_0]) ).
cnf(c_0_19,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
hBOOL(hAPP(c_List_Oset(v_evs,tc_Event_Oevent),c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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))))))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_analz_OSnd_0]) ).
cnf(c_0_22,plain,
( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_analz_OInj_0]) ).
cnf(c_0_23,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Crypt__Spy__analz__bad_0]) ).
cnf(c_0_24,plain,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
c_0_18 ).
cnf(c_0_25,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Says__imp__parts__knows__Spy_0]) ).
cnf(c_0_27,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
c_0_21 ).
cnf(c_0_28,plain,
( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
c_0_22 ).
cnf(c_0_29,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
c_0_23 ).
cnf(c_0_30,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
c_0_26 ).
cnf(c_0_32,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
cls_analz__idem_0 ).
cnf(c_0_35,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_36,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
cls_conjecture_1 ).
cnf(c_0_37,negated_conjecture,
( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,negated_conjecture,
~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_39,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4))) ),
inference(fof_simplification,[status(thm)],[cls_cert__A__form_1]) ).
cnf(c_0_40,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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)))))),
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(spm,[status(thm)],[c_0_16,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_37]),c_0_34]) ).
cnf(c_0_43,negated_conjecture,
~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
c_0_38 ).
cnf(c_0_44,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent)) ),
inference(fof_simplification,[status(thm)],[cls_cert__A__form_0]) ).
cnf(c_0_45,negated_conjecture,
( 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(c_in(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),tc_nat)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_46,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4))) ),
c_0_39 ).
cnf(c_0_47,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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)),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_40]) ).
cnf(c_0_48,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_42]),c_0_34]),c_0_43]) ).
cnf(c_0_50,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent)) ),
c_0_44 ).
cnf(c_0_51,negated_conjecture,
( 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(c_in(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),tc_nat)) ),
c_0_45 ).
cnf(c_0_52,negated_conjecture,
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))) = v_X,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),c_0_49]) ).
cnf(c_0_53,negated_conjecture,
~ hBOOL(c_in(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),tc_nat)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_48])]),c_0_49]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV732-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n026.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 09:25:21 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.37/1.03 % Version: 3.5.1
% 2.37/1.03 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.37/1.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.37/1.03 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.37/1.03 % Starting new_bool_3 with 300s (1) cores
% 2.37/1.03 % Starting new_bool_1 with 300s (1) cores
% 2.37/1.03 % Starting sh5l with 300s (1) cores
% 2.37/1.03 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1927644 completed with status 0
% 2.37/1.03 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.37/1.03 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.37/1.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.37/1.03 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.37/1.03 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.37/1.03 % No SInE strategy applied
% 2.37/1.03 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.37/1.03 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.37/1.03 % Starting SubtermCWHack with 136s (1) cores
% 2.37/1.03 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.37/1.03 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 2.37/1.03 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 2.37/1.03 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 2.37/1.03 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1927651 completed with status 0
% 2.37/1.03 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.37/1.03 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.37/1.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.37/1.03 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.37/1.03 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.37/1.03 % No SInE strategy applied
% 2.37/1.03 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.37/1.03 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.37/1.03 % Starting SubtermCWHack with 136s (1) cores
% 2.37/1.03 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.37/1.03 % Preprocessing time : 0.017 s
% 2.37/1.03 % Presaturation interreduction done
% 2.37/1.03
% 2.37/1.03 % Proof found!
% 2.37/1.03 % SZS status Unsatisfiable
% 2.37/1.03 % SZS output start CNFRefutation
% See solution above
% 2.37/1.03 % Parsed axioms : 755
% 2.37/1.03 % Removed by relevancy pruning/SinE : 0
% 2.37/1.03 % Initial clauses : 755
% 2.37/1.03 % Removed in clause preprocessing : 4
% 2.37/1.03 % Initial clauses in saturation : 751
% 2.37/1.03 % Processed clauses : 1652
% 2.37/1.03 % ...of these trivial : 74
% 2.37/1.03 % ...subsumed : 191
% 2.37/1.03 % ...remaining for further processing : 1387
% 2.37/1.03 % Other redundant clauses eliminated : 14
% 2.37/1.03 % Clauses deleted for lack of memory : 0
% 2.37/1.03 % Backward-subsumed : 18
% 2.37/1.03 % Backward-rewritten : 45
% 2.37/1.03 % Generated clauses : 7027
% 2.37/1.03 % ...of the previous two non-redundant : 5603
% 2.37/1.03 % ...aggressively subsumed : 0
% 2.37/1.03 % Contextual simplify-reflections : 0
% 2.37/1.03 % Paramodulations : 6983
% 2.37/1.03 % Factorizations : 0
% 2.37/1.03 % NegExts : 0
% 2.37/1.03 % Equation resolutions : 44
% 2.37/1.03 % Disequality decompositions : 0
% 2.37/1.03 % Total rewrite steps : 3193
% 2.37/1.03 % ...of those cached : 2135
% 2.37/1.03 % Propositional unsat checks : 0
% 2.37/1.03 % Propositional check models : 0
% 2.37/1.03 % Propositional check unsatisfiable : 0
% 2.37/1.03 % Propositional clauses : 0
% 2.37/1.03 % Propositional clauses after purity: 0
% 2.37/1.03 % Propositional unsat core size : 0
% 2.37/1.03 % Propositional preprocessing time : 0.000
% 2.37/1.03 % Propositional encoding time : 0.000
% 2.37/1.03 % Propositional solver time : 0.000
% 2.37/1.03 % Success case prop preproc time : 0.000
% 2.37/1.03 % Success case prop encoding time : 0.000
% 2.37/1.03 % Success case prop solver time : 0.000
% 2.37/1.03 % Current number of processed clauses : 738
% 2.37/1.03 % Positive orientable unit clauses : 266
% 2.37/1.03 % Positive unorientable unit clauses: 8
% 2.37/1.03 % Negative unit clauses : 53
% 2.37/1.03 % Non-unit-clauses : 411
% 2.37/1.03 % Current number of unprocessed clauses: 5260
% 2.37/1.03 % ...number of literals in the above : 12299
% 2.37/1.03 % Current number of archived formulas : 0
% 2.37/1.03 % Current number of archived clauses : 651
% 2.37/1.03 % Clause-clause subsumption calls (NU) : 60625
% 2.37/1.03 % Rec. Clause-clause subsumption calls : 42718
% 2.37/1.03 % Non-unit clause-clause subsumptions : 147
% 2.37/1.03 % Unit Clause-clause subsumption calls : 3628
% 2.37/1.03 % Rewrite failures with RHS unbound : 0
% 2.37/1.03 % BW rewrite match attempts : 724
% 2.37/1.03 % BW rewrite match successes : 138
% 2.37/1.03 % Condensation attempts : 0
% 2.37/1.03 % Condensation successes : 0
% 2.37/1.03 % Termbank termtop insertions : 159744
% 2.37/1.03 % Search garbage collected termcells : 1314
% 2.37/1.03
% 2.37/1.03 % -------------------------------------------------
% 2.37/1.03 % User time : 0.386 s
% 2.37/1.03 % System time : 0.030 s
% 2.37/1.03 % Total time : 0.416 s
% 2.37/1.03 % Maximum resident set size: 4756 pages
% 2.37/1.03
% 2.37/1.03 % -------------------------------------------------
% 2.37/1.03 % User time : 1.959 s
% 2.37/1.03 % System time : 0.140 s
% 2.37/1.03 % Total time : 2.098 s
% 2.37/1.03 % Maximum resident set size: 5376 pages
% 2.37/1.03 % E exiting
%------------------------------------------------------------------------------