%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV747-1 : 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 : n010.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 03:24:07 PM UTC 2026
% Result : Unsatisfiable 41.64s 8.17s
% Output : CNFRefutation 41.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 27 unt; 0 def)
% Number of atoms : 91 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 43 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-3 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f185,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
fof(f370,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg))
| ~ c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
fof(f384,axiom,
! [X2,X3,X0,X1] : c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X0,X3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Says_0) ).
fof(f413,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/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
fof(f446,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/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).
fof(f460,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X2 = X1
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f461,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X1 = X2
| hBOOL(hAPP(X0,X1)) ),
inference(reorient_equations,[],[f460]) ).
fof(f513,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/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
fof(f532,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
fof(f533,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(reorient_equations,[],[f532]) ).
fof(f554,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| hBOOL(c_in(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f555,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f593,negated_conjecture,
hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f594,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f595,negated_conjecture,
! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f596,negated_conjecture,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f597,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ 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/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
tcf(c_609,negated_conjecture,
hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
inference(cnf_transformation,[],[f593]) ).
tcf(c_610,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[],[f594]) ).
tcf(c_611,negated_conjecture,
! [X0: $i] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[],[f595]) ).
tcf(c_612,negated_conjecture,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
inference(cnf_transformation,[],[f596]) ).
tcf(c_613,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ 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_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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f597]) ).
tcf(c_614,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(X1,X0))
| ~ hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[],[f555]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X1,X0,X2))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f554]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X0,X3),tc_Message_Omsg),
inference(cnf_transformation,[],[f384]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ c_lessequals(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_751,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(cnf_transformation,[],[f533]) ).
tcf(c_778,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,[],[f413]) ).
tcf(c_782,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,[],[f513]) ).
tcf(c_890,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,[],[f461]) ).
tcf(c_895,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,[],[f446]) ).
tcf(c_929,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
inference(cnf_transformation,[],[f185]) ).
tcf(c_4502,plain,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_612,c_668]) ).
tcf(c_4759,plain,
! [X0: $i] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(demodulation,[status(thm)],[c_611,c_778]) ).
tcf(c_5082,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(demodulation,[status(thm)],[c_610,c_778]) ).
tcf(c_15607,plain,
hBOOL(hAPP(c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))))),
inference(superposition,[status(thm)],[c_5082,c_614]) ).
tcf(c_15637,plain,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ 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(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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))))) ),
inference(superposition,[status(thm)],[c_615,c_613]) ).
tcf(c_17482,plain,
! [X0: $i] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_895,c_4759]) ).
tcf(c_17500,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(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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15637,c_17482]) ).
tcf(c_21823,plain,
hBOOL(hAPP(c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))))),
inference(superposition,[status(thm)],[c_5082,c_614]) ).
tcf(c_22132,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))))))))))
| ( 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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X) ) ),
inference(superposition,[status(thm)],[c_15607,c_890]) ).
tcf(c_22552,plain,
( ( 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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X) )
| ~ 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(superposition,[status(thm)],[c_22132,c_17500]) ).
tcf(c_23373,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(v_X,X1,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_733]) ).
tcf(c_30784,plain,
! [X0: $i] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_23373]) ).
tcf(c_30785,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)),
inference(instantiation,[status(thm)],[c_929]) ).
tcf(c_46250,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(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_30784]) ).
tcf(c_50608,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))))))))))
| ( 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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X) ) ),
inference(superposition,[status(thm)],[c_21823,c_890]) ).
tcf(c_52043,plain,
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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),
inference(global_subsumption_just,[status(thm)],[c_50608,c_609,c_4502,c_22552,c_30785,c_46250]) ).
tcf(c_52064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = c_Message_Oagent_OServer )
| ( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X) ) ),
inference(superposition,[status(thm)],[c_52043,c_782]) ).
tcf(c_52088,plain,
c_Message_Oagent_OSpy = c_Message_Oagent_OServer,
inference(equality_resolution,[status(thm)],[c_52064]) ).
tcf(c_52089,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_52088,c_751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV747-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/0.45 % Computer : n010.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Thu Sep 24 21:02:13 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.28/0.52 Running first-order theorem proving
% 0.28/0.52 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
% 0.28/0.54
% 0.28/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.28/0.54
% 0.28/0.54 % Detected problem language: tptp
% 0.28/0.56 % Proving...
% 41.64/8.17 % SZS status Started for theBenchmark.p
% 41.64/8.17 % SZS status Unsatisfiable for theBenchmark.p
% 41.64/8.17
% 41.64/8.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 41.64/8.17
% 41.64/8.17 % ------ iProver source info
% 41.64/8.17
% 41.64/8.17 % git: date: 2026-07-19 20:42:38 +0200
% 41.64/8.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 41.64/8.17 % git: non_committed_changes: false
% 41.64/8.17
% 41.64/8.17 % ------ Parsing...% successful
% 41.64/8.17
% 41.64/8.17
% 41.64/8.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 41.64/8.17
% 41.64/8.17 % ------ Preprocessing... sup_sim: 27 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 41.64/8.17
% 41.64/8.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 41.64/8.17
% 41.64/8.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 41.64/8.17 % ------ Proving...
% 41.64/8.17 % ------ Problem Properties
% 41.64/8.17
% 41.64/8.17 %
% 41.64/8.17 % clauses 367
% 41.64/8.17 % conjectures 5
% 41.64/8.17 % EPR 9
% 41.64/8.17 % Horn 332
% 41.64/8.17 % unary 134
% 41.64/8.17 % binary 146
% 41.64/8.17 % lits 723
% 41.64/8.17 % lits eq 197
% 41.64/8.17 % fd_pure 0
% 41.64/8.17 % fd_pseudo 0
% 41.64/8.17 % fd_cond 4
% 41.64/8.17 % fd_pseudo_cond 48
% 41.64/8.17 % AC symbols 0
% 41.64/8.17
% 41.64/8.17 % ------ Schedule dynamic 5 is on
% 41.64/8.17
% 41.64/8.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 41.64/8.17
% 41.64/8.17
% 41.64/8.17 % ------
% 41.64/8.17 % Current options:
% 41.64/8.17 % ------
% 41.64/8.17
% 41.64/8.17
% 41.64/8.17 %
% 41.64/8.17
% 41.64/8.17 % ------ Proving...
% 41.64/8.17 %
% 41.64/8.17
% 41.64/8.17 % SZS status Unsatisfiable for theBenchmark.p
% 41.64/8.17
% 41.64/8.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.64/8.17
% 41.64/8.17
%------------------------------------------------------------------------------