%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV355-2 : 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 : n006.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 03:17:25 PM UTC 2026
% Result : Unsatisfiable 1.79s 1.30s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 43 ( 22 unt; 12 def)
% Number of atoms : 116 ( 12 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X2,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__spies_0) ).
fof(f2,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(f3,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(f4,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(f5,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(f6,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f7,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs1,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,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,[],[f1]) ).
tcf(c_57,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,[],[f2]) ).
tcf(c_58,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,[],[f3]) ).
tcf(c_59,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,[],[f4]) ).
tcf(c_60,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,[],[f5]) ).
tcf(c_61,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs1,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f7]) ).
tcf(c_92,definition,
iPr_def_10 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_93,definition,
iPr_def_11 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_94,definition,
iPr_def_12 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_95,definition,
iPr_def_13 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_96,definition,
iPr_def_14 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_97,definition,
iPr_def_15 = c_Message_Omsg_OMPair(iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_98,definition,
iPr_def_16 = c_Message_Omsg_OMPair(iPr_def_12,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_99,definition,
iPr_def_17 = c_Message_Omsg_OCrypt(iPr_def_11,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_100,definition,
iPr_def_18 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_101,definition,
iPr_def_19 = c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_102,definition,
iPr_def_20 = c_List_Oset(v_evs1,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_103,definition,
iPr_def_21 = c_Event_Oused(v_evs1),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_104,negated_conjecture,
c_in(iPr_def_19,iPr_def_20,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_62,c_102,c_96,c_95,c_97,c_94,c_98,c_93,c_99,c_92,c_100,c_101]) ).
tcf(c_105,negated_conjecture,
~ c_in(iPr_def_14,iPr_def_21,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_61,c_103]) ).
tcf(c_385,plain,
! [X0: $i] :
( c_in(iPr_def_14,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_15,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_97,c_58]) ).
tcf(c_386,plain,
! [X0: $i] :
( c_in(iPr_def_15,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_16,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_98,c_58]) ).
tcf(c_387,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_100,c_58]) ).
tcf(c_448,plain,
! [X0: $i] :
( c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,X0,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_60,c_387]) ).
tcf(c_476,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_99,c_59]) ).
tcf(c_487,plain,
! [X0: $i] :
( c_in(iPr_def_18,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)
| ~ c_in(iPr_def_19,c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_101,c_56]) ).
tcf(c_500,plain,
! [X0: $i] :
( c_in(iPr_def_16,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,X0,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_448,c_476]) ).
tcf(c_524,plain,
! [X0: $i] :
( c_in(iPr_def_15,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,X0,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_500,c_386]) ).
tcf(c_548,plain,
! [X0: $i] :
( c_in(iPr_def_14,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,X0,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_524,c_385]) ).
tcf(c_567,plain,
! [X0: $i] :
( c_in(iPr_def_14,c_Event_Oused(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_548,c_57]) ).
tcf(c_695,plain,
( c_in(iPr_def_18,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1),tc_Message_Omsg)
| ~ c_in(iPr_def_19,iPr_def_20,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_102,c_487]) ).
tcf(c_696,plain,
c_in(iPr_def_18,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_695,c_104]) ).
tcf(c_708,plain,
c_in(iPr_def_14,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_696,c_567]) ).
tcf(c_715,plain,
c_in(iPr_def_14,iPr_def_21,tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_708,c_103]) ).
tcf(c_716,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_715,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV355-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % 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 19:20:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 1.79/1.30 % SZS status Started for theBenchmark.p
% 1.79/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.30
% 1.79/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.79/1.30
% 1.79/1.30 % ------ iProver source info
% 1.79/1.30
% 1.79/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.79/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.79/1.30 % git: non_committed_changes: false
% 1.79/1.30
% 1.79/1.30 % ------ Parsing...% successful
% 1.79/1.30
% 1.79/1.30
% 1.79/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.79/1.30
% 1.79/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.79/1.30
% 1.79/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.79/1.30
% 1.79/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.79/1.30 % ------ Proving...
% 1.79/1.30 % ------ Problem Properties
% 1.79/1.30
% 1.79/1.30 %
% 1.79/1.30 % clauses 19
% 1.79/1.30 % conjectures 2
% 1.79/1.30 % EPR 2
% 1.79/1.30 % Horn 19
% 1.79/1.30 % unary 14
% 1.79/1.30 % binary 5
% 1.79/1.30 % lits 24
% 1.79/1.30 % lits eq 12
% 1.79/1.30 % fd_pure 0
% 1.79/1.30 % fd_pseudo 0
% 1.79/1.30 % fd_cond 0
% 1.79/1.30 % fd_pseudo_cond 0
% 1.79/1.30 % AC symbols 0
% 1.79/1.30
% 1.79/1.30 % ------ Schedule dynamic 5 is on
% 1.79/1.30
% 1.79/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.79/1.30
% 1.79/1.30
% 1.79/1.30 % ------
% 1.79/1.30 % Current options:
% 1.79/1.30 % ------
% 1.79/1.30
% 1.79/1.30
% 1.79/1.30 %
% 1.79/1.30
% 1.79/1.30 % ------ Proving...
% 1.79/1.30 %
% 1.79/1.30
% 1.79/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.30
% 1.79/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.30
% 1.79/1.30
%------------------------------------------------------------------------------