%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV815-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 03:00:00 PM UTC 2026
% Result : Unsatisfiable 103.74s 15.84s
% Output : CNFRefutation 103.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of clauses : 70 ( 45 unt; 3 nHn; 55 RR)
% Number of literals : 113 ( 13 equ; 50 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 22 con; 0-5 aty)
% Number of variables : 100 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_8,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
cnf(cls_subset__iff_0,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_conjecture_12,negated_conjecture,
( ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_insert__absorb_0,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_parts__spies__takeWhile__mono_0,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__spies__takeWhile__mono_0) ).
cnf(cls_conjecture_11,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
cnf(cls_conjecture_10,negated_conjecture,
v_NB = v_NBa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_conjecture_7,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_9,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_A__trusts__NS5_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS5_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_spies__evs__rev_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,X1) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__evs__rev_0) ).
cnf(c_0_20,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_21,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_5 ).
cnf(c_0_22,negated_conjecture,
v_B = v_Ba,
cls_conjecture_8 ).
cnf(c_0_23,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_24,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
c_0_20 ).
cnf(c_0_25,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),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_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| 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(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
c_0_23 ).
cnf(c_0_28,negated_conjecture,
hBOOL(hAPP(c_List_Oset(v_evs5,tc_Event_Oevent),c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),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_Ka),v_X))))))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
c_0_26 ).
cnf(c_0_30,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),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_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_subset__iff_0]) ).
cnf(c_0_32,negated_conjecture,
( ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_12]) ).
cnf(c_0_33,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),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_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_35,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_36,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_37,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_38,plain,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).
cnf(c_0_39,plain,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
c_0_31 ).
cnf(c_0_40,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__spies__takeWhile__mono_0 ).
cnf(c_0_41,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
cls_conjecture_11 ).
cnf(c_0_42,negated_conjecture,
v_NB = v_NBa,
cls_conjecture_10 ).
cnf(c_0_43,negated_conjecture,
( ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ),
c_0_32 ).
cnf(c_0_44,negated_conjecture,
v_A = v_Aa,
cls_conjecture_7 ).
cnf(c_0_45,negated_conjecture,
v_K = v_Ka,
cls_conjecture_9 ).
cnf(c_0_46,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[cls_A__trusts__NS5_0]) ).
cnf(c_0_47,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),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_Ka),v_X)))))),
inference(spm,[status(thm)],[c_0_24,c_0_33]) ).
cnf(c_0_48,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs5)),
inference(spm,[status(thm)],[c_0_24,c_0_34]) ).
cnf(c_0_49,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
c_0_35 ).
cnf(c_0_50,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_51,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
c_0_36 ).
cnf(c_0_52,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(spm,[status(thm)],[c_0_27,c_0_37]) ).
cnf(c_0_53,plain,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
c_0_38 ).
cnf(c_0_54,plain,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X3,X2,tc_Event_Oevent))),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_55,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_42]),c_0_22]),c_0_42]),c_0_42]) ).
cnf(c_0_56,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,X1) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent)),
cls_spies__evs__rev_0 ).
cnf(c_0_57,negated_conjecture,
( ~ c_in(c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_45]),c_0_44]),c_0_45]) ).
cnf(c_0_58,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_46 ).
cnf(c_0_59,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),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_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),X1),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_60,negated_conjecture,
c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,X1),
inference(spm,[status(thm)],[c_0_27,c_0_48]) ).
cnf(c_0_61,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
inference(rw,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_62,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
c_0_50 ).
cnf(c_0_63,negated_conjecture,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(rw,[status(thm)],[c_0_51,c_0_44]) ).
cnf(c_0_64,plain,
( ~ c_in(X1,X2,X4)
| c_in(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_65,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_66,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_55])]) ).
cnf(c_0_67,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_68,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),X1),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV815-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 09:32:29 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 103.74/15.84 % Version: 3.5.1
% 103.74/15.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 103.74/15.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 103.74/15.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 103.74/15.84 % Starting new_bool_3 with 300s (1) cores
% 103.74/15.84 % Starting new_bool_1 with 300s (1) cores
% 103.74/15.84 % Starting sh5l with 300s (1) cores
% 103.74/15.84 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2791467 completed with status 0
% 103.74/15.84 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 103.74/15.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 103.74/15.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 103.74/15.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 103.74/15.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 103.74/15.84 % No SInE strategy applied
% 103.74/15.84 % Search class: FGHSM-FSLM32-DFFFFFNN
% 103.74/15.84 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 103.74/15.84 % Starting SubtermCWHack with 136s (1) cores
% 103.74/15.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 103.74/15.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 103.74/15.84 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 103.74/15.84 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 103.74/15.84 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2791475 completed with status 0
% 103.74/15.84 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 103.74/15.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 103.74/15.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 103.74/15.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 103.74/15.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 103.74/15.84 % No SInE strategy applied
% 103.74/15.84 % Search class: FGHSM-FSLM32-DFFFFFNN
% 103.74/15.84 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 103.74/15.84 % Starting SubtermCWHack with 136s (1) cores
% 103.74/15.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 103.74/15.84 % Preprocessing time : 0.016 s
% 103.74/15.84 % Presaturation interreduction done
% 103.74/15.84
% 103.74/15.84 % Proof found!
% 103.74/15.84 % SZS status Unsatisfiable
% 103.74/15.84 % SZS output start CNFRefutation
% See solution above
% 103.74/15.84 % Parsed axioms : 627
% 103.74/15.84 % Removed by relevancy pruning/SinE : 0
% 103.74/15.84 % Initial clauses : 627
% 103.74/15.84 % Removed in clause preprocessing : 1
% 103.74/15.84 % Initial clauses in saturation : 626
% 103.74/15.84 % Processed clauses : 37956
% 103.74/15.84 % ...of these trivial : 3329
% 103.74/15.84 % ...subsumed : 24839
% 103.74/15.84 % ...remaining for further processing : 9788
% 103.74/15.84 % Other redundant clauses eliminated : 359
% 103.74/15.84 % Clauses deleted for lack of memory : 0
% 103.74/15.84 % Backward-subsumed : 803
% 103.74/15.84 % Backward-rewritten : 840
% 103.74/15.84 % Generated clauses : 482649
% 103.74/15.84 % ...of the previous two non-redundant : 423130
% 103.74/15.84 % ...aggressively subsumed : 0
% 103.74/15.84 % Contextual simplify-reflections : 12
% 103.74/15.84 % Paramodulations : 482223
% 103.74/15.84 % Factorizations : 20
% 103.74/15.84 % NegExts : 0
% 103.74/15.84 % Equation resolutions : 406
% 103.74/15.84 % Disequality decompositions : 0
% 103.74/15.84 % Total rewrite steps : 313623
% 103.74/15.84 % ...of those cached : 273548
% 103.74/15.84 % Propositional unsat checks : 1
% 103.74/15.84 % Propositional check models : 0
% 103.74/15.84 % Propositional check unsatisfiable : 0
% 103.74/15.84 % Propositional clauses : 0
% 103.74/15.84 % Propositional clauses after purity: 0
% 103.74/15.84 % Propositional unsat core size : 0
% 103.74/15.84 % Propositional preprocessing time : 0.000
% 103.74/15.84 % Propositional encoding time : 0.163
% 103.74/15.84 % Propositional solver time : 0.120
% 103.74/15.84 % Success case prop preproc time : 0.000
% 103.74/15.84 % Success case prop encoding time : 0.000
% 103.74/15.84 % Success case prop solver time : 0.000
% 103.74/15.84 % Current number of processed clauses : 7662
% 103.74/15.84 % Positive orientable unit clauses : 3514
% 103.74/15.84 % Positive unorientable unit clauses: 44
% 103.74/15.84 % Negative unit clauses : 800
% 103.74/15.84 % Non-unit-clauses : 3304
% 103.74/15.84 % Current number of unprocessed clauses: 378877
% 103.74/15.84 % ...number of literals in the above : 861850
% 103.74/15.84 % Current number of archived formulas : 0
% 103.74/15.84 % Current number of archived clauses : 2127
% 103.74/15.84 % Clause-clause subsumption calls (NU) : 3101777
% 103.74/15.84 % Rec. Clause-clause subsumption calls : 1605638
% 103.74/15.84 % Non-unit clause-clause subsumptions : 9059
% 103.74/15.84 % Unit Clause-clause subsumption calls : 947933
% 103.74/15.84 % Rewrite failures with RHS unbound : 339
% 103.74/15.84 % BW rewrite match attempts : 74926
% 103.74/15.84 % BW rewrite match successes : 1052
% 103.74/15.84 % Condensation attempts : 0
% 103.74/15.84 % Condensation successes : 0
% 103.74/15.84 % Termbank termtop insertions : 11436521
% 103.74/15.84 % Search garbage collected termcells : 1087
% 103.74/15.84
% 103.74/15.84 % -------------------------------------------------
% 103.74/15.84 % User time : 14.175 s
% 103.74/15.84 % System time : 0.424 s
% 103.74/15.84 % Total time : 14.599 s
% 103.74/15.84 % Maximum resident set size: 4648 pages
% 103.74/15.84
% 103.74/15.84 % -------------------------------------------------
% 103.74/15.84 % User time : 70.643 s
% 103.74/15.84 % System time : 2.520 s
% 103.74/15.84 % Total time : 73.162 s
% 103.74/15.84 % Maximum resident set size: 5120 pages
% 103.74/15.84 % E exiting
%------------------------------------------------------------------------------