%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV815-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 : Fri Sep 25 03:24:16 PM UTC 2026
% Result : Unsatisfiable 151.23s 31.94s
% Output : CNFRefutation 151.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 74 ( 51 unt; 0 def)
% Number of atoms : 111 ( 15 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 78 ( 41 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 88 ( 0 sgn 88 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f366,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Set_Oinsert(X0,X3,X2),X1,tc_fun(X2,tc_bool))
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f407,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f414,axiom,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
fof(f500,axiom,
! [X0,X1] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X0,X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__spies__takeWhile__mono_0) ).
fof(f594,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS5_0) ).
fof(f605,axiom,
! [X0] : c_Event_Oknows(c_Message_Oagent_OSpy,X0) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X0,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__evs__rev_0) ).
fof(f613,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
fof(f618,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
fof(f622,axiom,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
fof(f623,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f622]) ).
fof(f658,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f659,axiom,
! [X2,X0,X1] :
( ~ c_in(X1,X0,X2)
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f683,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f684,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f685,negated_conjecture,
c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f688,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f689,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f690,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f691,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f692,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f693,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f692]) ).
fof(f694,negated_conjecture,
v_NB = v_NBa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f695,plain,
v_NBa = v_NB,
inference(reorient_equations,[],[f694]) ).
fof(f696,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f697,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f733,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(definition_unfolding,[],[f683,f690]) ).
fof(f734,plain,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(definition_unfolding,[],[f684,f691]) ).
fof(f737,plain,
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_K),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
inference(definition_unfolding,[],[f688,f693]) ).
fof(f738,plain,
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_Aa,v_Ba,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(definition_unfolding,[],[f696,f693,f695,f695,f693,f695,f695]) ).
fof(f739,plain,
( ~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,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_Aa,v_Ba,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(definition_unfolding,[],[f697,f690,f691,f690,f691]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X3,X2)
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_1026,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f414]) ).
tcf(c_1099,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X0,X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f500]) ).
tcf(c_1185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X0,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f594]) ).
tcf(c_1194,plain,
! [X0: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X0,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X0),
inference(cnf_transformation,[],[f605]) ).
tcf(c_1202,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_1206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f618]) ).
tcf(c_1210,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[],[f623]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,X0,X2)
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f658]) ).
tcf(c_1240,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(X1,X0))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f659]) ).
tcf(c_1262,negated_conjecture,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f733]) ).
tcf(c_1263,negated_conjecture,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f734]) ).
tcf(c_1264,negated_conjecture,
c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f685]) ).
tcf(c_1267,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_K),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f737]) ).
tcf(c_1268,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(cnf_transformation,[],[f689]) ).
tcf(c_1269,negated_conjecture,
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_Aa,v_Ba,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(cnf_transformation,[],[f738]) ).
tcf(c_1270,negated_conjecture,
( ~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,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_Aa,v_Ba,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(cnf_transformation,[],[f739]) ).
tcf(c_1754,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,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),
inference(global_subsumption_just,[status(thm)],[c_1270,c_1269,c_1270]) ).
tcf(c_35450,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1026,c_984]) ).
tcf(c_54468,plain,
hBOOL(hAPP(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_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))),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))))),
inference(superposition,[status(thm)],[c_1269,c_1240]) ).
tcf(c_54489,plain,
! [X0: $i] : 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_Aa,v_Ba,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))),X0),
inference(superposition,[status(thm)],[c_54468,c_1239]) ).
tcf(c_54582,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(c_Message_Oparts(X1),X0))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1202,c_1240]) ).
tcf(c_54620,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(X1),X2)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_54582,c_1239]) ).
tcf(c_54677,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(X1),X2)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1210,c_54620]) ).
tcf(c_54902,plain,
! [X0: $i] : c_Set_Oinsert(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_Aa,v_Ba,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))),X0) = 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_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))),
inference(superposition,[status(thm)],[c_54489,c_1020]) ).
tcf(c_56680,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,X1)
| ~ c_lessequals(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_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))),X0,tc_fun(X1,tc_bool)) ),
inference(superposition,[status(thm)],[c_54902,c_984]) ).
tcf(c_58275,plain,
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_Orev(v_evs5,tc_Event_Oevent))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1099,c_56680]) ).
tcf(c_58427,plain,
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,v_evs5)),tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_58275,c_1194]) ).
tcf(c_58431,plain,
! [X0: $i] : 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,v_evs5)),X0),
inference(superposition,[status(thm)],[c_58427,c_54677]) ).
tcf(c_58442,plain,
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,v_evs5)),tc_Message_Omsg),
inference(instantiation,[status(thm)],[c_58431]) ).
tcf(c_94356,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs5)),
inference(superposition,[status(thm)],[c_1264,c_1240]) ).
tcf(c_94359,plain,
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_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))),
inference(superposition,[status(thm)],[c_1267,c_1240]) ).
tcf(c_94361,plain,
! [X0: $i,X1: $i] : hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0)),
inference(superposition,[status(thm)],[c_35450,c_1240]) ).
tcf(c_94378,plain,
! [X0: $i] : c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,X0),
inference(superposition,[status(thm)],[c_94356,c_1239]) ).
tcf(c_94379,plain,
! [X0: $i] : 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_K),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),X0),
inference(superposition,[status(thm)],[c_94359,c_1239]) ).
tcf(c_94442,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2),
inference(superposition,[status(thm)],[c_94361,c_1239]) ).
tcf(c_99619,plain,
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_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_94379,c_1206]) ).
tcf(c_99935,plain,
c_Set_Oinsert(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_K),v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5),
inference(superposition,[status(thm)],[c_99619,c_1020]) ).
tcf(c_100561,plain,
! [X0: $i] : 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_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),X0),
inference(superposition,[status(thm)],[c_99935,c_94442]) ).
tcf(c_218905,plain,
! [X0: $i] :
( c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| 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_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_100561,c_1185]) ).
tcf(c_218922,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),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(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218905,c_1263,c_1262,c_1268,c_94378]) ).
tcf(c_219929,plain,
~ 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,v_evs5)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_218922,c_1754]) ).
tcf(c_219930,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_219929,c_58442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV815-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 21:06:21 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 151.23/31.94 % SZS status Started for theBenchmark.p
% 151.23/31.94 % SZS status Unsatisfiable for theBenchmark.p
% 151.23/31.94
% 151.23/31.94 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 151.23/31.94
% 151.23/31.94 % ------ iProver source info
% 151.23/31.94
% 151.23/31.94 % git: date: 2026-07-19 20:42:38 +0200
% 151.23/31.94 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 151.23/31.94 % git: non_committed_changes: false
% 151.23/31.94
% 151.23/31.94 % ------ Parsing...% successful
% 151.23/31.94
% 151.23/31.94
% 151.23/31.94 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 151.23/31.94
% 151.23/31.94 % ------ Preprocessing... sup_sim: 33 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 151.23/31.94
% 151.23/31.94 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 151.23/31.94
% 151.23/31.94 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 151.23/31.94 % ------ Proving...
% 151.23/31.94 % ------ Problem Properties
% 151.23/31.94
% 151.23/31.94 %
% 151.23/31.94 % clauses 474
% 151.23/31.94 % conjectures 9
% 151.23/31.94 % EPR 26
% 151.23/31.94 % Horn 417
% 151.23/31.94 % unary 179
% 151.23/31.94 % binary 185
% 151.23/31.94 % lits 946
% 151.23/31.94 % lits eq 274
% 151.23/31.94 % fd_pure 0
% 151.23/31.94 % fd_pseudo 0
% 151.23/31.94 % fd_cond 4
% 151.23/31.94 % fd_pseudo_cond 63
% 151.23/31.94 % AC symbols 0
% 151.23/31.94
% 151.23/31.94 % ------ Input Options Time Limit: Unbounded
% 151.23/31.94
% 151.23/31.94
% 151.23/31.94 % ------
% 151.23/31.94 % Current options:
% 151.23/31.94 % ------
% 151.23/31.94
% 151.23/31.94
% 151.23/31.94 %
% 151.23/31.94
% 151.23/31.94 % ------ Proving...
% 151.23/31.94 %
% 151.23/31.94
% 151.23/31.94 % SZS status Unsatisfiable for theBenchmark.p
% 151.23/31.94
% 151.23/31.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 151.23/31.94
% 151.23/31.94
%------------------------------------------------------------------------------