%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV731-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.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 70.39s 41.02s
% Output : CNFRefutation 70.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 9 unt; 3 nHn; 19 RR)
% Number of literals : 41 ( 6 equ; 24 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 17 con; 0-4 aty)
% Number of variables : 52 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Says__Server__message__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(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X5),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))))),c_List_Oset(X5,tc_Event_Oevent))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
cnf(cls_A__trusts__NS2_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,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_Message_Oagent),X1),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
cnf(cls_Says__Server__message__form_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X1),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_List_Olist(tc_Event_Oevent)),X2),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))))),c_List_Oset(X2,tc_Event_Oevent))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
cnf(cls_conjecture_0,negated_conjecture,
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)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
( 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)))
| 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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_7,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(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X5),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))))),c_List_Oset(X5,tc_Event_Oevent))) ),
cls_Says__Server__message__form_1 ).
cnf(c_0_8,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,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_Message_Oagent),X1),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)))) ),
cls_A__trusts__NS2_0 ).
cnf(c_0_9,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X1),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_List_Olist(tc_Event_Oevent)),X2),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))))),c_List_Oset(X2,tc_Event_Oevent))) ),
cls_Says__Server__message__form_0 ).
cnf(c_0_10,plain,
( 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(hAPP(hAPP(c_in(tc_Message_Oagent),X4),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,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,X6))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
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)))),
cls_conjecture_0 ).
cnf(c_0_12,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
cls_conjecture_2 ).
cnf(c_0_13,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
cls_conjecture_1 ).
cnf(c_0_14,plain,
( hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),X1),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X4),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_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared)) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( 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)))
| 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_16,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_10,c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV731-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n023.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 05:53:53 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 70.39/41.02 % Version : CSE_E---1.7
% 70.39/41.02 % Problem : theBenchmark.p
% 70.39/41.02 % SZS status Unsatisfiable for theBenchmark.p
% 70.39/41.02 % SZS output start CNFRefutation
% See solution above
% 70.69/41.28 % Total time : 30.546s
%------------------------------------------------------------------------------