%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV762-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 03:24:09 PM UTC 2026
% Result : Unsatisfiable 117.07s 18.54s
% Output : CNFRefutation 117.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 66 ( 30 unt; 0 def)
% Number of atoms : 120 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 104 ( 50 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 17 con; 0-3 aty)
% Number of variables : 104 ( 0 sgn 104 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X2 = X1
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X1 = X2
| hBOOL(hAPP(X0,X1)) ),
inference(reorient_equations,[],[f55]) ).
fof(f149,axiom,
! [X2,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
fof(f225,axiom,
! [X2,X0,X1] : c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) = c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
fof(f251,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
fof(f290,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(X0,X2,X3))
| hBOOL(c_in(X0,c_Set_Oinsert(X1,X2,X3),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
fof(f298,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2))
| hBOOL(c_in(X0,X3,X2))
| hBOOL(c_in(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).
fof(f443,axiom,
! [X2,X3,X0,X1] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
fof(f518,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
fof(f565,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| hBOOL(c_in(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f566,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f578,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
fof(f587,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
fof(f591,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
fof(f607,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
fof(f609,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f610,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f611,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f612,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f613,negated_conjecture,
! [X0] : ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f614,negated_conjecture,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
tcf(c_654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP(X1,X3))
| ( X0 = X3 )
| ~ hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_730,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f149]) ).
tcf(c_794,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2) = c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2),
inference(cnf_transformation,[],[f225]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X0,c_Set_Oinsert(X3,X1,X2),X2))
| ~ hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X0,X2,X3))
| hBOOL(c_in(X0,X1,X3))
| ~ hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
inference(cnf_transformation,[],[f443]) ).
tcf(c_1049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f518]) ).
tcf(c_1092,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X1,X0,X2))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f565]) ).
tcf(c_1093,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(X1,X0))
| ~ hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[],[f566]) ).
tcf(c_1104,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(cnf_transformation,[],[f578]) ).
tcf(c_1112,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f587]) ).
tcf(c_1115,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f591]) ).
tcf(c_1129,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f607]) ).
tcf(c_1131,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
inference(cnf_transformation,[],[f609]) ).
tcf(c_1132,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
inference(cnf_transformation,[],[f610]) ).
tcf(c_1133,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[],[f611]) ).
tcf(c_1134,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
inference(cnf_transformation,[],[f612]) ).
tcf(c_1135,negated_conjecture,
! [X0: $i] : ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[],[f613]) ).
tcf(c_1136,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f614]) ).
tcf(c_5069,plain,
! [X0: $i] : ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(demodulation,[status(thm)],[c_1135,c_794]) ).
tcf(c_5098,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_1134,c_982]) ).
tcf(c_5569,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(demodulation,[status(thm)],[c_1133,c_794]) ).
tcf(c_5634,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(demodulation,[status(thm)],[c_817,c_730]) ).
tcf(c_18276,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))) ),
inference(superposition,[status(thm)],[c_1092,c_1136]) ).
tcf(c_20491,plain,
! [X0: $i] :
( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_5634]) ).
tcf(c_20670,plain,
! [X0: $i] : ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_848,c_5069]) ).
tcf(c_20671,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_18276,c_20670]) ).
tcf(c_23240,plain,
hBOOL(hAPP(c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))),
inference(resolution,[status(thm)],[c_1093,c_5569]) ).
tcf(c_24602,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_20491]) ).
tcf(c_45559,plain,
( hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))))
| ( c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))) ) ),
inference(resolution,[status(thm)],[c_654,c_23240]) ).
tcf(c_45854,plain,
( hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))))
| ( c_Message_Oagent_OSpy = c_Message_Oagent_OServer ) ),
inference(resolution,[status(thm)],[c_45559,c_1049]) ).
tcf(c_46125,negated_conjecture,
~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
inference(global_subsumption_just,[status(thm)],[c_1136,c_1104,c_20671,c_45854]) ).
tcf(c_46868,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg))
| ~ hBOOL(hAPP(c_Message_Oanalz(X0),X1)) ),
inference(superposition,[status(thm)],[c_1092,c_1129]) ).
tcf(c_47294,plain,
~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
inference(superposition,[status(thm)],[c_46868,c_46125]) ).
tcf(c_143800,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_856]) ).
tcf(c_151026,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_5634,c_5098]) ).
tcf(c_151279,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),
inference(global_subsumption_just,[status(thm)],[c_151026,c_1131,c_5098,c_24602]) ).
tcf(c_151291,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_151279,c_856]) ).
tcf(c_152073,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
inference(global_subsumption_just,[status(thm)],[c_151291,c_1104,c_1131,c_5098,c_20671,c_24602,c_45854,c_143800]) ).
tcf(c_152087,plain,
( hBOOL(c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_152073,c_1115]) ).
tcf(c_152088,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_152073,c_1112]) ).
tcf(c_153088,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
inference(global_subsumption_just,[status(thm)],[c_152087,c_1132,c_152088]) ).
tcf(c_153096,plain,
hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
inference(resolution,[status(thm)],[c_153088,c_1093]) ).
tcf(c_153097,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_153096,c_47294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV762-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 21:05:40 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 117.07/18.54 % SZS status Started for theBenchmark.p
% 117.07/18.54 % SZS status Unsatisfiable for theBenchmark.p
% 117.07/18.54
% 117.07/18.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 117.07/18.54
% 117.07/18.54 % ------ iProver source info
% 117.07/18.54
% 117.07/18.54 % git: date: 2026-07-19 20:42:38 +0200
% 117.07/18.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 117.07/18.54 % git: non_committed_changes: false
% 117.07/18.54
% 117.07/18.54 % ------ Parsing...% successful
% 117.07/18.54
% 117.07/18.54
% 117.07/18.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 117.07/18.54
% 117.07/18.54 % ------ Preprocessing... sup_sim: 19 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 117.07/18.54
% 117.07/18.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 117.07/18.54
% 117.07/18.54 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 117.07/18.54 % ------ Proving...
% 117.07/18.54 % ------ Problem Properties
% 117.07/18.54
% 117.07/18.54 %
% 117.07/18.54 % clauses 419
% 117.07/18.54 % conjectures 4
% 117.07/18.54 % EPR 19
% 117.07/18.54 % Horn 374
% 117.07/18.54 % unary 158
% 117.07/18.54 % binary 160
% 117.07/18.54 % lits 838
% 117.07/18.54 % lits eq 211
% 117.07/18.54 % fd_pure 0
% 117.07/18.54 % fd_pseudo 0
% 117.07/18.54 % fd_cond 5
% 117.07/18.54 % fd_pseudo_cond 46
% 117.07/18.54 % AC symbols 0
% 117.07/18.54
% 117.07/18.54 % ------ Input Options Time Limit: Unbounded
% 117.07/18.54
% 117.07/18.54
% 117.07/18.54 % ------
% 117.07/18.54 % Current options:
% 117.07/18.54 % ------
% 117.07/18.54
% 117.07/18.54
% 117.07/18.54 %
% 117.07/18.54
% 117.07/18.54 % ------ Proving...
% 117.07/18.54 %
% 117.07/18.54
% 117.07/18.54 % SZS status Unsatisfiable for theBenchmark.p
% 117.07/18.54
% 117.07/18.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 117.07/18.54
% 117.07/18.54
%------------------------------------------------------------------------------