%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV324-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 03:17:17 PM UTC 2026
% Result : Unsatisfiable 1.64s 1.26s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 57 ( 29 unt; 12 def)
% Number of atoms : 171 ( 16 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 62 ( 34 ~; 28 |; 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 : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Public_OshrK(v_A) = v_K ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f5,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| v_K = c_Public_OshrK(v_A) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X2,c_Message_Oanalz(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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f8,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
tcf(c_57,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Public_OshrK(v_A) = v_K ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Message_Oanalz(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,[],[f6]) ).
tcf(c_62,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_63,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(cnf_transformation,[],[f8]) ).
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,[],[f9]) ).
tcf(c_69,negated_conjecture,
c_Public_OshrK(v_A) = v_K,
inference(global_subsumption_just,[status(thm)],[c_60,c_58,c_60]) ).
tcf(c_71,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_59,c_58,c_59]) ).
tcf(c_97,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_71,c_69]) ).
tcf(c_126,definition,
iPr_def_10 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_127,definition,
iPr_def_11 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_128,definition,
iPr_def_12 = c_Message_Oparts(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_130,definition,
iPr_def_14 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_131,definition,
iPr_def_15 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_132,definition,
iPr_def_16 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_133,definition,
iPr_def_17 = c_Message_Omsg_OMPair(iPr_def_16,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_134,definition,
iPr_def_18 = c_Message_Omsg_OCrypt(iPr_def_15,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_135,definition,
iPr_def_19 = c_Message_Omsg_OMPair(v_X,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_136,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_14,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_137,definition,
iPr_def_21 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_138,definition,
iPr_def_22 = c_List_Oset(v_evso,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_139,plain,
~ c_in(iPr_def_10,iPr_def_12,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_97,c_127,c_128,c_126]) ).
tcf(c_142,negated_conjecture,
c_in(iPr_def_21,iPr_def_22,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_57,c_138,c_132,c_133,c_131,c_134,c_135,c_130,c_136,c_137]) ).
tcf(c_418,plain,
! [X0: $i] :
( c_in(iPr_def_10,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_133,c_62]) ).
tcf(c_419,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_135,c_62]) ).
tcf(c_420,plain,
! [X0: $i] :
( c_in(iPr_def_19,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_20,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_136,c_62]) ).
tcf(c_439,plain,
( c_in(iPr_def_10,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_17,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_128,c_418]) ).
tcf(c_440,plain,
( c_in(iPr_def_10,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_17,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_439,c_128]) ).
tcf(c_441,plain,
~ c_in(iPr_def_17,iPr_def_12,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_440,c_139]) ).
tcf(c_446,plain,
( c_in(iPr_def_18,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_19,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_128,c_419]) ).
tcf(c_447,plain,
( c_in(iPr_def_18,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_19,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_446,c_128]) ).
tcf(c_458,plain,
( c_in(iPr_def_19,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_128,c_420]) ).
tcf(c_459,plain,
( c_in(iPr_def_19,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_458,c_128]) ).
tcf(c_477,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_134,c_64]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_22,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_138,c_61]) ).
tcf(c_494,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_22,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_491,c_127]) ).
tcf(c_503,plain,
( c_in(iPr_def_17,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_18,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_128,c_477]) ).
tcf(c_504,plain,
( c_in(iPr_def_17,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_18,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_503,c_128]) ).
tcf(c_505,plain,
~ c_in(iPr_def_18,iPr_def_12,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_504,c_441]) ).
tcf(c_506,plain,
~ c_in(iPr_def_19,iPr_def_12,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_447,c_505]) ).
tcf(c_507,plain,
~ c_in(iPr_def_20,iPr_def_12,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_459,c_506]) ).
tcf(c_517,plain,
( c_in(iPr_def_20,c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_21,iPr_def_22,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_137,c_494]) ).
tcf(c_518,plain,
c_in(iPr_def_20,c_Message_Oanalz(iPr_def_11),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_517,c_142]) ).
tcf(c_519,plain,
c_in(iPr_def_20,c_Message_Oparts(iPr_def_11),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_518,c_63]) ).
tcf(c_520,plain,
c_in(iPr_def_20,iPr_def_12,tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_519,c_128]) ).
tcf(c_521,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_520,c_507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV324-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n009.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 19:13:43 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.64/1.26 % SZS status Started for theBenchmark.p
% 1.64/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.26
% 1.64/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.64/1.26
% 1.64/1.26 % ------ iProver source info
% 1.64/1.26
% 1.64/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.64/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.64/1.26 % git: non_committed_changes: false
% 1.64/1.26
% 1.64/1.26 % ------ Parsing...% successful
% 1.64/1.26
% 1.64/1.26
% 1.64/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.64/1.26
% 1.64/1.26 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.64/1.26
% 1.64/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.64/1.26
% 1.64/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.64/1.26 % ------ Proving...
% 1.64/1.26 % ------ Problem Properties
% 1.64/1.26
% 1.64/1.26 %
% 1.64/1.26 % clauses 21
% 1.64/1.26 % conjectures 3
% 1.64/1.26 % EPR 4
% 1.64/1.26 % Horn 21
% 1.64/1.26 % unary 17
% 1.64/1.26 % binary 4
% 1.64/1.26 % lits 25
% 1.64/1.26 % lits eq 14
% 1.64/1.26 % fd_pure 0
% 1.64/1.26 % fd_pseudo 0
% 1.64/1.26 % fd_cond 0
% 1.64/1.26 % fd_pseudo_cond 0
% 1.64/1.26 % AC symbols 0
% 1.64/1.26
% 1.64/1.26 % ------ Schedule dynamic 5 is on
% 1.64/1.26
% 1.64/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.64/1.26
% 1.64/1.26
% 1.64/1.26 % ------
% 1.64/1.26 % Current options:
% 1.64/1.26 % ------
% 1.64/1.26
% 1.64/1.26
% 1.64/1.26 %
% 1.64/1.26
% 1.64/1.26 % ------ Proving...
% 1.64/1.26 %
% 1.64/1.26
% 1.64/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.26
% 1.64/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.64/1.26
% 1.64/1.26
%------------------------------------------------------------------------------