%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV302-2 : 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 03:17:12 PM UTC 2026
% Result : Unsatisfiable 1.96s 1.28s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 24 unt; 6 def)
% Number of atoms : 110 ( 11 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( v_NB = c_Message_Omsg_ONonce(v_NBa)
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_16) ).
fof(f3,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f5,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
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(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(f8,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) ).
tcf(c_57,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ( c_Message_Omsg_ONonce(v_NBa) = v_NB ) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,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_63,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,[],[f7]) ).
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_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(global_subsumption_just,[status(thm)],[c_58,c_60,c_61,c_58]) ).
tcf(c_80,plain,
c_Message_Omsg_ONonce(v_NBa) = v_NB,
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_69]) ).
tcf(c_95,plain,
~ c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_59,c_80]) ).
tcf(c_121,definition,
iPr_def_10 = c_Event_Oused(v_evs2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_122,definition,
iPr_def_11 = c_Message_Omsg_ONonce(v_NBa),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_135,definition,
iPr_def_24 = c_Message_Omsg_OMPair(v_NB,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_136,definition,
iPr_def_25 = c_Message_Omsg_OCrypt(iPr_def_14,iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_140,definition,
iPr_def_29 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_141,definition,
iPr_def_30 = c_Message_Oparts(iPr_def_29),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_142,plain,
~ c_in(v_NB,iPr_def_10,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_95,c_121]) ).
tcf(c_143,plain,
iPr_def_11 = v_NB,
inference(demodulation,[status(thm)],[c_80,c_122]) ).
tcf(c_146,negated_conjecture,
c_in(iPr_def_25,iPr_def_30,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_60,c_140,c_141]) ).
tcf(c_454,plain,
~ c_in(iPr_def_11,iPr_def_10,tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_142,c_143]) ).
tcf(c_456,plain,
c_Message_Omsg_OMPair(iPr_def_11,iPr_def_21) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_135,c_143]) ).
tcf(c_459,plain,
! [X0: $i] :
( c_in(X0,c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_29),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_140,c_62]) ).
tcf(c_460,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_30,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_459,c_121,c_141]) ).
tcf(c_474,plain,
! [X0: $i] :
( c_in(iPr_def_11,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_24,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_456,c_63]) ).
tcf(c_507,plain,
! [X0: $i] :
( c_in(iPr_def_24,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_25,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_136,c_64]) ).
tcf(c_559,plain,
( c_in(iPr_def_11,c_Message_Oparts(iPr_def_29),tc_Message_Omsg)
| ~ c_in(iPr_def_24,iPr_def_30,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_141,c_474]) ).
tcf(c_560,plain,
( c_in(iPr_def_11,iPr_def_30,tc_Message_Omsg)
| ~ c_in(iPr_def_24,iPr_def_30,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_559,c_141]) ).
tcf(c_650,plain,
( c_in(iPr_def_24,c_Message_Oparts(iPr_def_29),tc_Message_Omsg)
| ~ c_in(iPr_def_25,iPr_def_30,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_141,c_507]) ).
tcf(c_651,plain,
( c_in(iPr_def_24,iPr_def_30,tc_Message_Omsg)
| ~ c_in(iPr_def_25,iPr_def_30,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_650,c_141]) ).
tcf(c_652,plain,
c_in(iPr_def_24,iPr_def_30,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_651,c_146]) ).
tcf(c_653,plain,
c_in(iPr_def_11,iPr_def_30,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_560,c_652]) ).
tcf(c_655,plain,
c_in(iPr_def_11,iPr_def_10,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_653,c_460]) ).
tcf(c_656,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_655,c_454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV302-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 19:06:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 1.96/1.28 % SZS status Started for theBenchmark.p
% 1.96/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.96/1.28
% 1.96/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.96/1.28
% 1.96/1.28 % ------ iProver source info
% 1.96/1.28
% 1.96/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.96/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.96/1.28 % git: non_committed_changes: false
% 1.96/1.28
% 1.96/1.28 % ------ Parsing...% successful
% 1.96/1.28
% 1.96/1.28
% 1.96/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.96/1.28
% 1.96/1.28 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.96/1.28
% 1.96/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.96/1.28
% 1.96/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.96/1.28 % ------ Proving...
% 1.96/1.28 % ------ Problem Properties
% 1.96/1.28
% 1.96/1.28 %
% 1.96/1.28 % clauses 29
% 1.96/1.28 % conjectures 3
% 1.96/1.28 % EPR 4
% 1.96/1.28 % Horn 29
% 1.96/1.28 % unary 26
% 1.96/1.28 % binary 3
% 1.96/1.28 % lits 32
% 1.96/1.28 % lits eq 22
% 1.96/1.28 % fd_pure 0
% 1.96/1.28 % fd_pseudo 0
% 1.96/1.28 % fd_cond 0
% 1.96/1.28 % fd_pseudo_cond 0
% 1.96/1.28 % AC symbols 0
% 1.96/1.28
% 1.96/1.28 % ------ Schedule dynamic 5 is on
% 1.96/1.28
% 1.96/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.96/1.28
% 1.96/1.28
% 1.96/1.28 % ------
% 1.96/1.28 % Current options:
% 1.96/1.28 % ------
% 1.96/1.28
% 1.96/1.28
% 1.96/1.28 %
% 1.96/1.28
% 1.96/1.28 % ------ Proving...
% 1.96/1.28 %
% 1.96/1.28
% 1.96/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.96/1.28
% 1.96/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.96/1.28
% 1.96/1.28
%------------------------------------------------------------------------------