%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV732-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 May 5 05:27:16 PM UTC 2026
% Result : Unsatisfiable 1.79s 1.79s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 40 ( 16 unt; 2 nHn; 35 RR)
% Number of literals : 74 ( 7 equ; 36 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 : 74 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Says__imp__analz__Spy_0,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
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_analz_OSnd_0,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,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,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,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(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(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),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_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_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_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_Says__imp__parts__knows__Spy_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_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,
( 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)))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ 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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
cnf(cls_cert__A__form_0,axiom,
( hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| ~ 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(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ 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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
cnf(cls_conjecture_3,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))
| 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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_14,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_Says__imp__analz__Spy_0 ).
cnf(c_0_15,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_16,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
cls_analz_OSnd_0 ).
cnf(c_0_17,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
cls_analz_OInj_0 ).
cnf(c_0_18,axiom,
( hBOOL(c_in(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(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
cls_Crypt__Spy__analz__bad_0 ).
cnf(c_0_19,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_14,c_0_15]) ).
cnf(c_0_20,plain,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( 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))
| ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
cls_analz__idem_0 ).
cnf(c_0_23,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0 ).
cnf(c_0_24,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_25,negated_conjecture,
( 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))
| ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_26,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_Says__imp__parts__knows__Spy_0 ).
cnf(c_0_27,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_28,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( 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))
| ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_25]),c_0_22]) ).
cnf(c_0_30,negated_conjecture,
~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
cls_conjecture_2 ).
cnf(c_0_31,axiom,
( 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)))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ 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)) ),
cls_cert__A__form_1 ).
cnf(c_0_32,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_26,c_0_15]) ).
cnf(c_0_33,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,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_20,c_0_29]),c_0_22]),c_0_30]) ).
cnf(c_0_35,axiom,
( hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| ~ 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(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ 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)) ),
cls_cert__A__form_0 ).
cnf(c_0_36,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))
| 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))) ),
cls_conjecture_3 ).
cnf(c_0_37,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_31,c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_38,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_35,c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWV732-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 05:52:45 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.79/1.79 % Version : CSE_E---1.7
% 1.79/1.79 % Problem : theBenchmark.p
% 1.79/1.79 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.79 % SZS output start CNFRefutation
% See solution above
% 1.89/1.80 % Total time : 1.364s
%------------------------------------------------------------------------------