%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV731-1 : 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 : n005.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 03:24:05 PM UTC 2026
% Result : Unsatisfiable 15.09s 32.59s
% Output : CNFRefutation 15.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 48 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 29 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 9 ( 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 : 30 ( 30 usr; 17 con; 0-4 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f440,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))))),c_List_Oset(X4,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X4),c_NS__Shared__Mirabelle_Ons__shared))
| X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
fof(f441,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))))),c_List_Oset(X4,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X4),c_NS__Shared__Mirabelle_Ons__shared))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0 ),
inference(reorient_equations,[],[f440]) ).
fof(f611,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),X6)))))),c_List_Oset(X1,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X1),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X0),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
fof(f633,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5))))
| hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),X0),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X5),c_NS__Shared__Mirabelle_Ons__shared))
| hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))))),c_List_Oset(X5,tc_Event_Oevent))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
fof(f688,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f689,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f690,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f691,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| v_X != 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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_1068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X0))) = X5 )
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))))),c_List_Oset(X6,tc_Event_Oevent))) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_1206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X4),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))))),c_List_Oset(X6,tc_Event_Oevent))) ),
inference(cnf_transformation,[],[f611]) ).
tcf(c_1227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),X0),c_Event_Obad))
| hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))))),c_List_Oset(X5,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X5),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)))) ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_1276,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),
inference(cnf_transformation,[],[f688]) ).
tcf(c_1277,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
inference(cnf_transformation,[],[f689]) ).
tcf(c_1278,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
inference(cnf_transformation,[],[f690]) ).
tcf(c_1279,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| ( 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))) != v_X ) ),
inference(cnf_transformation,[],[f691]) ).
tcf(c_18714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),X0),c_Event_Obad))
| hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))))),c_List_Oset(v_evs,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))) ),
inference(instantiation,[status(thm)],[c_1227]) ).
tcf(c_19823,plain,
( hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad))
| hBOOL(hAPP(hAPP(c_in(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_List_Oset(v_evs,tc_Event_Oevent)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))) ),
inference(instantiation,[status(thm)],[c_18714]) ).
tcf(c_238453,plain,
( ( 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))) = v_X )
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(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_List_Oset(v_evs,tc_Event_Oevent))) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_238455,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| ~ hBOOL(hAPP(hAPP(c_in(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_List_Oset(v_evs,tc_Event_Oevent))) ),
inference(instantiation,[status(thm)],[c_1206]) ).
tcf(c_238456,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_238453,c_238455,c_19823,c_1279,c_1276,c_1277,c_1278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV731-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n005.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 21:00:33 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 15.09/32.59 % SZS status Started for theBenchmark.p
% 15.09/32.59 % SZS status Unsatisfiable for theBenchmark.p
% 15.09/32.59
% 15.09/32.59 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.09/32.59
% 15.09/32.59 % ------ iProver source info
% 15.09/32.59
% 15.09/32.59 % git: date: 2026-07-19 20:42:38 +0200
% 15.09/32.59 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.09/32.59 % git: non_committed_changes: false
% 15.09/32.59
% 15.09/32.59 % ------ Parsing...% successful
% 15.09/32.59
% 15.09/32.59
% 15.09/32.59 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.09/32.59
% 15.09/32.59 % ------ Preprocessing... sup_sim: 0 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 %
% 15.09/32.59
% 15.09/32.59 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.09/32.59
% 15.09/32.59 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.09/32.59 % ------ Proving...
% 15.09/32.59 % ------ Problem Properties
% 15.09/32.59
% 15.09/32.59 %
% 15.09/32.59 % clauses 499
% 15.09/32.59 % conjectures 4
% 15.09/32.59 % EPR 26
% 15.09/32.59 % Horn 461
% 15.09/32.59 % unary 185
% 15.09/32.59 % binary 198
% 15.09/32.59 % lits 966
% 15.09/32.59 % lits eq 260
% 15.09/32.59 % fd_pure 0
% 15.09/32.59 % fd_pseudo 0
% 15.09/32.59 % fd_cond 5
% 15.09/32.59 % fd_pseudo_cond 51
% 15.09/32.59 % AC symbols 0
% 15.09/32.59
% 15.09/32.59 % ------ Input Options Time Limit: Unbounded
% 15.09/32.59
% 15.09/32.59
% 15.09/32.59 % ------
% 15.09/32.59 % Current options:
% 15.09/32.59 % ------
% 15.09/32.59
% 15.09/32.59
% 15.09/32.59 %
% 15.09/32.59
% 15.09/32.59 % ------ Proving...
% 15.09/32.59 %
% 15.09/32.59
% 15.09/32.59 % ------ Proving...
% 15.09/32.59 %
% 15.09/32.59
% 15.09/32.59 % SZS status Unsatisfiable for theBenchmark.p
% 15.09/32.59
% 15.09/32.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.09/32.59
% 15.09/32.59
%------------------------------------------------------------------------------