%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV361-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 03:17:27 PM UTC 2026
% Result : Unsatisfiable 3.30s 1.32s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 22 unt; 0 def)
% Number of atoms : 77 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__spies_0) ).
fof(f2,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f4,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f6,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/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).
fof(f7,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,negated_conjecture,
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_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f9,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f10,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
tcf(c_59,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,[],[f1]) ).
tcf(c_60,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,[],[f2]) ).
tcf(c_61,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,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,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,[],[f5]) ).
tcf(c_64,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,[],[f6]) ).
tcf(c_65,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,negated_conjecture,
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_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(cnf_transformation,[],[f10]) ).
tcf(c_128,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(subtyping,[status(esa)],[c_67]) ).
tcf(c_129,negated_conjecture,
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_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_131,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Omsg_ONonce_1: iProver_c_Message_Omsg_ONonce_1,X0_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1,X1_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X1_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1,X2_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X2_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1,X3_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1] :
( 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_2)),tc_Message_Omsg)
| ~ c_in(X1_iProver_c_Message_Omsg_OMPair_2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2_iProver_c_Message_Omsg_OAgent_1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3_iProver_c_Message_Omsg_OAgent_1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0_iProver_c_Message_Omsg_ONonce_1),X2_iProver_c_Message_Omsg_OMPair_2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1_iProver_c_Message_Omsg_OMPair_2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_iProver_c_Message_Omsg_OAgent_1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_iProver_c_Message_Omsg_OAgent_1),c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_2,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_2)),tc_Message_Omsg) ),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_132,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X1_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2] :
( c_in(X0_iProver_c_Message_Omsg_OMPair_2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1_iProver_c_Message_Omsg_OMPair_2)),tc_Message_Omsg)
| ~ c_in(X1_iProver_c_Message_Omsg_OMPair_2,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_2),c_List_Oset(X1_iProver_c_Message_Omsg_OMPair_2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_133,plain,
! [X0_iProver_c_Message_Oanalz_1: iProver_c_Message_Oanalz_1] : c_Message_Oparts(c_Message_Oanalz(X0_iProver_c_Message_Oanalz_1)) = c_Message_Oparts(X0_iProver_c_Message_Oanalz_1),
inference(subtyping,[status(esa)],[c_62]) ).
tcf(c_134,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Oanalz_1: iProver_c_Message_Oanalz_1] :
( c_in(X0_iProver_c_Message_Omsg_OMPair_2,c_Message_Oparts(X0_iProver_c_Message_Oanalz_1),tc_Message_Omsg)
| ~ c_in(X0_iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Oanalz_1,tc_Message_Omsg) ),
inference(subtyping,[status(esa)],[c_61]) ).
tcf(c_135,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Oanalz_1: iProver_c_Message_Oanalz_1,X1_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2] :
( c_in(X1_iProver_c_Message_Omsg_OMPair_2,c_Message_Oparts(X0_iProver_c_Message_Oanalz_1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_2,X1_iProver_c_Message_Omsg_OMPair_2),c_Message_Oparts(X0_iProver_c_Message_Oanalz_1),tc_Message_Omsg) ),
inference(subtyping,[status(esa)],[c_60]) ).
tcf(c_136,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1,X0_iProver_c_Event_Oevent_OSays_2: iProver_c_Event_Oevent_OSays_2,X1_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2] :
( c_in(X0_iProver_c_Message_Omsg_OMPair_2,c_Event_Oknows(c_Message_Oagent_OSpy,X1_iProver_c_Message_Omsg_OMPair_2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0_iProver_c_Message_Omsg_OAgent_1,X0_iProver_c_Event_Oevent_OSays_2,X0_iProver_c_Message_Omsg_OMPair_2),c_List_Oset(X1_iProver_c_Message_Omsg_OMPair_2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_316,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_evs3)),tc_Message_Omsg)
| ~ c_in(v_evs3,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_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_318,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Oanalz_1: iProver_c_Message_Oanalz_1] :
( c_in(X0_iProver_c_Message_Omsg_OMPair_2,c_Message_Oparts(X0_iProver_c_Message_Oanalz_1),tc_Message_Omsg)
| ~ c_in(X0_iProver_c_Message_Omsg_OMPair_2,c_Message_Oanalz(X0_iProver_c_Message_Oanalz_1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_133,c_134]) ).
tcf(c_326,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Oanalz_1: iProver_c_Message_Oanalz_1,X1_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2] :
( c_in(X1_iProver_c_Message_Omsg_OMPair_2,c_Message_Oparts(c_Message_Oanalz(X0_iProver_c_Message_Oanalz_1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_2,X1_iProver_c_Message_Omsg_OMPair_2),c_Message_Oparts(X0_iProver_c_Message_Oanalz_1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_133,c_135]) ).
tcf(c_342,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_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_128,c_136]) ).
tcf(c_346,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_evs3)),tc_Message_Omsg)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[status(thm)],[c_129,c_132]) ).
tcf(c_382,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Oanalz_1: iProver_c_Message_Oanalz_1,X1_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2] :
( c_in(X1_iProver_c_Message_Omsg_OMPair_2,c_Message_Oparts(c_Message_Oanalz(c_Message_Oanalz(X0_iProver_c_Message_Oanalz_1))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_2,X1_iProver_c_Message_Omsg_OMPair_2),c_Message_Oparts(X0_iProver_c_Message_Oanalz_1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_133,c_326]) ).
tcf(c_414,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_evs3)),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_346,c_65,c_66,c_316]) ).
tcf(c_417,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Oanalz_1: iProver_c_Message_Oanalz_1,X1_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2] :
( c_in(X1_iProver_c_Message_Omsg_OMPair_2,c_Message_Oparts(X0_iProver_c_Message_Oanalz_1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0_iProver_c_Message_Omsg_OMPair_2,X1_iProver_c_Message_Omsg_OMPair_2),X0_iProver_c_Message_Oanalz_1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_134,c_135]) ).
tcf(c_422,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_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_414,c_318]) ).
tcf(c_507,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_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_422,c_382]) ).
tcf(c_593,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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_133,c_507]) ).
tcf(c_596,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_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_342,c_417]) ).
tcf(c_677,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1,X1_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1] :
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_iProver_c_Message_Omsg_OAgent_1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_iProver_c_Message_Omsg_OAgent_1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0_iProver_c_Message_Omsg_OMPair_2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_596,c_131]) ).
tcf(c_744,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_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_133,c_593]) ).
tcf(c_875,plain,
! [X0_iProver_c_Message_Omsg_OMPair_2: iProver_c_Message_Omsg_OMPair_2,X0_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1,X1_iProver_c_Message_Omsg_OAgent_1: iProver_c_Message_Omsg_OAgent_1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_iProver_c_Message_Omsg_OAgent_1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_iProver_c_Message_Omsg_OAgent_1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0_iProver_c_Message_Omsg_OMPair_2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_677,c_65,c_68,c_677]) ).
tcf(c_879,plain,
$false,
inference(superposition,[status(thm)],[c_744,c_875]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV361-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 19:19:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.45 % Proving...
% 3.30/1.32 % SZS status Started for theBenchmark.p
% 3.30/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.30/1.32
% 3.30/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.30/1.32
% 3.30/1.32 % ------ iProver source info
% 3.30/1.32
% 3.30/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.30/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.30/1.32 % git: non_committed_changes: false
% 3.30/1.32
% 3.30/1.32 % ------ Parsing...% successful
% 3.30/1.32
% 3.30/1.32
% 3.30/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.30/1.32
% 3.30/1.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.30/1.32
% 3.30/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.30/1.32
% 3.30/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.30/1.32 % ------ Proving...
% 3.30/1.32 % ------ Problem Properties
% 3.30/1.32
% 3.30/1.32 %
% 3.30/1.32 % clauses 10
% 3.30/1.32 % conjectures 4
% 3.30/1.32 % EPR 0
% 3.30/1.32 % Horn 10
% 3.30/1.32 % unary 5
% 3.30/1.32 % binary 3
% 3.30/1.32 % lits 18
% 3.30/1.32 % lits eq 1
% 3.30/1.32 % fd_pure 0
% 3.30/1.32 % fd_pseudo 0
% 3.30/1.32 % fd_cond 0
% 3.30/1.32 % fd_pseudo_cond 0
% 3.30/1.32 % AC symbols 0
% 3.30/1.32
% 3.30/1.32 % ------ Input Options Time Limit: Unbounded
% 3.30/1.32
% 3.30/1.32
% 3.30/1.32 % ------
% 3.30/1.32 % Current options:
% 3.30/1.32 % ------
% 3.30/1.32
% 3.30/1.32
% 3.30/1.32 %
% 3.30/1.32
% 3.30/1.32 % ------ Proving...
% 3.30/1.32 %
% 3.30/1.32
% 3.30/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.30/1.32
% 3.30/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.30/1.32
% 3.30/1.32
%------------------------------------------------------------------------------