%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV791-1 : 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 : n014.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 03:24:12 PM UTC 2026
% Result : Unsatisfiable 71.48s 29.05s
% Output : CNFRefutation 71.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 17 unt; 0 def)
% Number of atoms : 60 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 27 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 17 con; 0-3 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f487,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f564,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OAgent(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
fof(f565,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OAgent(X3))) = X0 ),
inference(reorient_equations,[],[f564]) ).
fof(f603,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
fof(f604,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),X0))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OAgent(X4)))
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
fof(f605,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),X0))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OAgent(X4))) = X0
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(reorient_equations,[],[f604]) ).
fof(f622,axiom,
! [X2,X0,X1] : c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I35_J_0) ).
fof(f657,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f658,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f661,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f664,negated_conjecture,
v_B = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f666,negated_conjecture,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f667,plain,
v_X = c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),
inference(reorient_equations,[],[f666]) ).
fof(f698,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(definition_unfolding,[],[f657,f664]) ).
tcf(c_1085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Message_Oparts(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,[],[f487]) ).
tcf(c_1145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OAgent(X0))) = X4 )
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(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(c_Message_Omsg_OKey(X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f565]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ) ),
inference(cnf_transformation,[],[f603]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_in(X5,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OAgent(X1))) = X5 )
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f605]) ).
tcf(c_1194,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_ONonce(X2),
inference(cnf_transformation,[],[f622]) ).
tcf(c_1223,negated_conjecture,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f698]) ).
tcf(c_1224,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f658]) ).
tcf(c_1226,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f661]) ).
tcf(c_1229,negated_conjecture,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
inference(cnf_transformation,[],[f667]) ).
tcf(c_17246,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Omsg_ONonce(v_Nb) = X1 )
| ( c_Message_Omsg_OCrypt(X0,X1) != v_X ) ),
inference(superposition,[status(thm)],[c_1229,c_1178]) ).
tcf(c_17717,plain,
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(instantiation,[status(thm)],[c_1085]) ).
tcf(c_19918,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X )
| ~ c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_1145]) ).
tcf(c_37559,plain,
( c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X )
| ~ c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[status(thm)],[c_1226,c_1179]) ).
tcf(c_37657,plain,
c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X,
inference(global_subsumption_just,[status(thm)],[c_37559,c_1224,c_1223,c_1226,c_17717,c_19918]) ).
tcf(c_37661,plain,
c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa)) = c_Message_Omsg_ONonce(v_Nb),
inference(superposition,[status(thm)],[c_37657,c_17246]) ).
tcf(c_37768,plain,
! [X0: $i] : c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(v_Nb),
inference(superposition,[status(thm)],[c_37661,c_1194]) ).
tcf(c_38478,plain,
$false,
inference(equality_resolution,[status(thm)],[c_37768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV791-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.81 % Computer : n014.cluster.edu
% 0.12/5.81 % Model : x86_64 x86_64
% 0.12/5.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.81 % Memory : 8046.5625MB
% 0.12/5.81 % OS : Linux 6.8.0-71-generic
% 0.12/5.81 % CPULimit : 300
% 0.12/5.81 % WCLimit : 300
% 0.12/5.81 % DateTime : Thu Sep 24 21:05:09 UTC 2026
% 0.12/5.82 % CPUTime :
% 0.12/5.82 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.86 Running first-order theorem proving
% 0.12/5.86 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
% 0.12/5.87
% 0.12/5.87 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.87
% 0.12/5.87 % Detected problem language: tptp
% 0.12/5.89 % Proving...
% 71.48/29.05 % SZS status Started for theBenchmark.p
% 71.48/29.05 % SZS status Unsatisfiable for theBenchmark.p
% 71.48/29.05
% 71.48/29.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 71.48/29.05
% 71.48/29.05 % ------ iProver source info
% 71.48/29.05
% 71.48/29.05 % git: date: 2026-07-19 20:42:38 +0200
% 71.48/29.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 71.48/29.05 % git: non_committed_changes: false
% 71.48/29.05
% 71.48/29.05 % ------ Parsing...% successful
% 71.48/29.05
% 71.48/29.05
% 71.48/29.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 71.48/29.05
% 71.48/29.05 % ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 71.48/29.05
% 71.48/29.05 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 71.48/29.05
% 71.48/29.05 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 71.48/29.05 % ------ Proving...
% 71.48/29.05 % ------ Problem Properties
% 71.48/29.05
% 71.48/29.05 %
% 71.48/29.05 % clauses 476
% 71.48/29.05 % conjectures 10
% 71.48/29.05 % EPR 26
% 71.48/29.05 % Horn 416
% 71.48/29.05 % unary 176
% 71.48/29.05 % binary 187
% 71.48/29.05 % lits 942
% 71.48/29.05 % lits eq 274
% 71.48/29.05 % fd_pure 0
% 71.48/29.05 % fd_pseudo 0
% 71.48/29.05 % fd_cond 3
% 71.48/29.05 % fd_pseudo_cond 64
% 71.48/29.05 % AC symbols 0
% 71.48/29.05
% 71.48/29.05 % ------ Input Options Time Limit: Unbounded
% 71.48/29.05
% 71.48/29.05
% 71.48/29.05 % ------
% 71.48/29.05 % Current options:
% 71.48/29.05 % ------
% 71.48/29.05
% 71.48/29.05
% 71.48/29.05 %
% 71.48/29.05
% 71.48/29.05 % ------ Proving...
% 71.48/29.05 %
% 71.48/29.05
% 71.48/29.05 % SZS status Unsatisfiable for theBenchmark.p
% 71.48/29.05
% 71.48/29.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 71.48/29.05
% 71.48/29.05
%------------------------------------------------------------------------------