%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV340-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:17:22 PM UTC 2026
% Result : Unsatisfiable 1.91s 1.29s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of formulae : 58 ( 37 unt; 14 def)
% Number of atoms : 136 ( 18 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 17 ( 15 usr; 15 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f4,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f5,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f8,axiom,
! [X2,X0,X1] :
( c_in(X0,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f9,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f10,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f11,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f13,plain,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(definition_unfolding,[],[f2,f5]) ).
tcf(c_60,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f13]) ).
tcf(c_62,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,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,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,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,[],[f8]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_67,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,[],[f10]) ).
tcf(c_68,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[],[f11]) ).
tcf(c_69,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,[],[f12]) ).
tcf(c_151,definition,
iPr_def_10 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_152,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_153,definition,
iPr_def_12 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_154,definition,
iPr_def_13 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_155,definition,
iPr_def_14 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_156,definition,
iPr_def_15 = c_Message_Omsg_OMPair(iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_157,definition,
iPr_def_16 = c_Message_Omsg_OMPair(iPr_def_12,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_158,definition,
iPr_def_17 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_159,definition,
iPr_def_18 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_160,definition,
iPr_def_19 = c_Message_Omsg_OMPair(iPr_def_18,v_X),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_161,definition,
iPr_def_20 = c_Event_Oevent_OGets(v_A,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_162,definition,
iPr_def_21 = c_List_Oset(v_evs4,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_163,definition,
iPr_def_22 = c_Event_Oused(v_evs4),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_164,definition,
iPr_def_23 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_165,negated_conjecture,
c_in(iPr_def_20,iPr_def_21,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_61,c_162,c_155,c_154,c_156,c_153,c_157,c_152,c_158,c_151,c_159,c_160,c_161]) ).
tcf(c_166,negated_conjecture,
~ c_in(iPr_def_12,iPr_def_22,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_62,c_163]) ).
tcf(c_167,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,iPr_def_23),
inference(demodulation,[status(thm)],[c_60,c_164]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_68,c_67]) ).
tcf(c_511,plain,
! [X0: $i] :
( c_in(iPr_def_16,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_158,c_64]) ).
tcf(c_581,plain,
! [X0: $i] :
( c_in(iPr_def_12,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_16,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_157,c_65]) ).
tcf(c_583,plain,
! [X0: $i] :
( c_in(iPr_def_18,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_19,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_160,c_65]) ).
tcf(c_606,plain,
! [X0: $i] :
( c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_159,c_66]) ).
tcf(c_617,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,iPr_def_23)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_69,c_164]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,iPr_def_23)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_21,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_162,c_617]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_21,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_628,c_167]) ).
tcf(c_704,plain,
( c_in(iPr_def_19,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_21,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_161,c_629]) ).
tcf(c_705,plain,
c_in(iPr_def_19,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_704,c_165]) ).
tcf(c_706,plain,
c_in(iPr_def_19,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_705,c_484]) ).
tcf(c_906,plain,
c_in(iPr_def_18,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_706,c_583]) ).
tcf(c_946,plain,
c_in(iPr_def_17,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_906,c_606]) ).
tcf(c_998,plain,
c_in(iPr_def_16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_946,c_511]) ).
tcf(c_1019,plain,
c_in(iPr_def_12,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_998,c_581]) ).
tcf(c_1049,plain,
c_in(iPr_def_12,c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1019,c_63]) ).
tcf(c_1050,plain,
c_in(iPr_def_12,iPr_def_22,tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_1049,c_163]) ).
tcf(c_1051,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1050,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV340-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 19:15:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.91/1.29 % SZS status Started for theBenchmark.p
% 1.91/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.29
% 1.91/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.91/1.29
% 1.91/1.29 % ------ iProver source info
% 1.91/1.29
% 1.91/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.91/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.91/1.29 % git: non_committed_changes: false
% 1.91/1.29
% 1.91/1.29 % ------ Parsing...% successful
% 1.91/1.29
% 1.91/1.29
% 1.91/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.91/1.29
% 1.91/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.91/1.29
% 1.91/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.91/1.29
% 1.91/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.91/1.29 % ------ Proving...
% 1.91/1.29 % ------ Problem Properties
% 1.91/1.29
% 1.91/1.29 %
% 1.91/1.29 % clauses 24
% 1.91/1.29 % conjectures 3
% 1.91/1.29 % EPR 3
% 1.91/1.29 % Horn 24
% 1.91/1.29 % unary 18
% 1.91/1.29 % binary 5
% 1.91/1.29 % lits 31
% 1.91/1.29 % lits eq 15
% 1.91/1.29 % fd_pure 0
% 1.91/1.29 % fd_pseudo 0
% 1.91/1.29 % fd_cond 0
% 1.91/1.29 % fd_pseudo_cond 0
% 1.91/1.29 % AC symbols 0
% 1.91/1.29
% 1.91/1.29 % ------ Schedule dynamic 5 is on
% 1.91/1.29
% 1.91/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.91/1.29
% 1.91/1.29
% 1.91/1.29 % ------
% 1.91/1.29 % Current options:
% 1.91/1.29 % ------
% 1.91/1.29
% 1.91/1.29
% 1.91/1.29 %
% 1.91/1.29
% 1.91/1.29 % ------ Proving...
% 1.91/1.29 %
% 1.91/1.29
% 1.91/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.29
% 1.91/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.91/1.29
% 1.91/1.29
%------------------------------------------------------------------------------