%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV352-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 03:17:25 PM UTC 2026
% Result : Unsatisfiable 3.32s 6.31s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 21 unt; 0 def)
% Number of atoms : 86 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 43 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% Number of variables : 95 ( 0 sgn 95 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f4,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__spies_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f7,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f8,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f9,axiom,
! [X2,X0,X1] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( c_in(c_Message_Omsg_ONonce(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),X7))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_ONonce(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).
tcf(c_60,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f2]) ).
tcf(c_62,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,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,[],[f5]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,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,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_in(c_Message_Omsg_ONonce(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),X7))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_137,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X0_iProver_c_Message_Omsg_ONonce_1: iProver_c_Message_Omsg_ONonce_1,X1_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X1_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X2_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X2_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X3_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2] :
( c_in(c_Message_Omsg_ONonce(X0_iProver_c_Message_Omsg_ONonce_1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1_iProver_c_Message_Omsg_OMPair_1)),tc_Message_Omsg)
| ~ c_in(X1_iProver_c_Message_Omsg_OMPair_1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0_iProver_c_Message_Omsg_ONonce_1),X2_iProver_c_Message_Omsg_OMPair_1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1_iProver_c_Message_Omsg_OMPair_1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_1,c_Message_Omsg_ONonce(X0_iProver_c_Message_Omsg_ONonce_1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1_iProver_c_Message_Omsg_OMPair_1)),tc_Message_Omsg) ),
inference(subtyping,[status(esa)],[c_70]) ).
tcf(c_138,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X1_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X1_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X2_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X3_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X4_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1] :
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OCrypt(c_Public_OshrK(X1_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(X1_iProver_c_Message_Omsg_OMPair_1,X2_iProver_c_Message_Omsg_OMPair_1))))),c_List_Oset(X4_iProver_c_Message_Omsg_OMPair_1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4_iProver_c_Message_Omsg_OMPair_1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0_iProver_c_Event_Oevent_OSays_2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_1,c_Message_Omsg_OMPair(X1_iProver_c_Message_Omsg_OMPair_1,X2_iProver_c_Message_Omsg_OMPair_1)))),X3_iProver_c_Message_Omsg_OMPair_1)),c_List_Oset(X4_iProver_c_Message_Omsg_OMPair_1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(subtyping,[status(esa)],[c_69]) ).
tcf(c_139,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X1_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1] :
( c_in(X0_iProver_c_Message_Omsg_OMPair_1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1_iProver_c_Message_Omsg_OMPair_1)),tc_Message_Omsg)
| ~ c_in(X1_iProver_c_Message_Omsg_OMPair_1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X0_iProver_c_Event_Oevent_OSays_2,X0_iProver_c_Message_Omsg_OMPair_1),c_List_Oset(X1_iProver_c_Message_Omsg_OMPair_1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(subtyping,[status(esa)],[c_68]) ).
tcf(c_140,plain,
! [X0_iProver_c_Message_Oparts_1: iProver_c_Message_Oparts_1] : c_Message_Oparts(c_Message_Oanalz(X0_iProver_c_Message_Oparts_1)) = c_Message_Oparts(X0_iProver_c_Message_Oparts_1),
inference(subtyping,[status(esa)],[c_67]) ).
tcf(c_141,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Message_Oparts_1: iProver_c_Message_Oparts_1] :
( c_in(X0_iProver_c_Message_Omsg_OMPair_1,c_Message_Oparts(X0_iProver_c_Message_Oparts_1),tc_Message_Omsg)
| ~ c_in(X0_iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Message_Oparts_1,tc_Message_Omsg) ),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_142,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Message_Oparts_1: iProver_c_Message_Oparts_1,X1_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1] :
( c_in(X1_iProver_c_Message_Omsg_OMPair_1,c_Message_Oparts(X0_iProver_c_Message_Oparts_1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_1,X1_iProver_c_Message_Omsg_OMPair_1),c_Message_Oparts(X0_iProver_c_Message_Oparts_1),tc_Message_Omsg) ),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_143,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X1_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X1_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2] :
( c_in(X0_iProver_c_Message_Omsg_OMPair_1,c_Event_Oknows(c_Message_Oagent_OSpy,X1_iProver_c_Message_Omsg_OMPair_1),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0_iProver_c_Event_Oevent_OSays_2,X1_iProver_c_Event_Oevent_OSays_2,X0_iProver_c_Message_Omsg_OMPair_1),c_List_Oset(X1_iProver_c_Message_Omsg_OMPair_1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_145,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(subtyping,[status(esa)],[c_62]) ).
tcf(c_146,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(subtyping,[status(esa)],[c_61]) ).
tcf(c_345,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Message_Oparts_1: iProver_c_Message_Oparts_1] :
( c_in(X0_iProver_c_Message_Omsg_OMPair_1,c_Message_Oparts(X0_iProver_c_Message_Oparts_1),tc_Message_Omsg)
| ~ c_in(X0_iProver_c_Message_Omsg_OMPair_1,c_Message_Oanalz(X0_iProver_c_Message_Oparts_1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_140,c_141]) ).
tcf(c_370,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_145,c_143]) ).
tcf(c_371,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_385,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[status(thm)],[c_146,c_138]) ).
tcf(c_402,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_451,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(global_subsumption_just,[status(thm)],[c_385,c_60,c_61,c_371]) ).
tcf(c_454,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Message_Oparts_1: iProver_c_Message_Oparts_1,X1_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1] :
( c_in(X1_iProver_c_Message_Omsg_OMPair_1,c_Message_Oparts(X0_iProver_c_Message_Oparts_1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_1,X1_iProver_c_Message_Omsg_OMPair_1),X0_iProver_c_Message_Oparts_1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_141,c_142]) ).
tcf(c_458,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[status(thm)],[c_451,c_139]) ).
tcf(c_573,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_458,c_60,c_61,c_371,c_402]) ).
tcf(c_575,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_573,c_345]) ).
tcf(c_607,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_575,c_142]) ).
tcf(c_642,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_370,c_454]) ).
tcf(c_728,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X1_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2] :
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0_iProver_c_Message_Omsg_OMPair_1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_642,c_137]) ).
tcf(c_993,plain,
! [X0_iProver_c_Message_Omsg_OMPair_1: iProver_c_Message_Omsg_OMPair_1,X0_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X1_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_iProver_c_Event_Oevent_OSays_2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0_iProver_c_Message_Omsg_OMPair_1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_728,c_60,c_63,c_728]) ).
tcf(c_997,plain,
$false,
inference(superposition,[status(thm)],[c_607,c_993]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV352-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.37 % Computer : n003.cluster.edu
% 0.14/5.37 % Model : x86_64 x86_64
% 0.14/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.37 % Memory : 8046.5625MB
% 0.14/5.37 % OS : Linux 6.8.0-71-generic
% 0.14/5.37 % CPULimit : 300
% 0.14/5.37 % WCLimit : 300
% 0.14/5.37 % DateTime : Thu Sep 24 19:22:12 UTC 2026
% 0.14/5.38 % CPUTime :
% 0.14/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43
% 0.16/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.43
% 0.16/5.43 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 3.32/6.31 % SZS status Started for theBenchmark.p
% 3.32/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.32/6.31
% 3.32/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.32/6.31
% 3.32/6.31 % ------ iProver source info
% 3.32/6.31
% 3.32/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.32/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.32/6.31 % git: non_committed_changes: false
% 3.32/6.31
% 3.32/6.31 % ------ Parsing...% successful
% 3.32/6.31
% 3.32/6.31
% 3.32/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.32/6.31
% 3.32/6.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.32/6.31
% 3.32/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.32/6.31
% 3.32/6.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.32/6.31 % ------ Proving...
% 3.32/6.31 % ------ Problem Properties
% 3.32/6.31
% 3.32/6.31 %
% 3.32/6.31 % clauses 11
% 3.32/6.31 % conjectures 4
% 3.32/6.31 % EPR 0
% 3.32/6.31 % Horn 11
% 3.32/6.31 % unary 5
% 3.32/6.31 % binary 3
% 3.32/6.31 % lits 21
% 3.32/6.31 % lits eq 1
% 3.32/6.31 % fd_pure 0
% 3.32/6.31 % fd_pseudo 0
% 3.32/6.31 % fd_cond 0
% 3.32/6.31 % fd_pseudo_cond 0
% 3.32/6.31 % AC symbols 0
% 3.32/6.31
% 3.32/6.31 % ------ Input Options Time Limit: Unbounded
% 3.32/6.31
% 3.32/6.31
% 3.32/6.31 % ------
% 3.32/6.31 % Current options:
% 3.32/6.31 % ------
% 3.32/6.31
% 3.32/6.31
% 3.32/6.31 %
% 3.32/6.31
% 3.32/6.31 % ------ Proving...
% 3.32/6.31 %
% 3.32/6.31
% 3.32/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.32/6.31
% 3.32/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.32/6.32
% 3.32/6.32
%------------------------------------------------------------------------------