%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV311-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n005.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 : Sun Sep 27 08:58:52 AM UTC 2026
% Result : Unsatisfiable 3.72s 3.08s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 422 ( 18 ~; 16 |; 0 &; 388 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 16 con; 0-5 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(v_B_decl,type,
v_B: $i ).
thf(c_Event_Obad_decl,type,
c_Event_Obad: $i ).
thf(tc_Message_Oagent_decl,type,
tc_Message_Oagent: $i ).
thf(v_evs3_decl,type,
v_evs3: $i ).
thf(c_OtwayRees_Ootway_decl,type,
c_OtwayRees_Ootway: $i ).
thf(tc_List_Olist_decl,type,
tc_List_Olist: $i > $i ).
thf(tc_Event_Oevent_decl,type,
tc_Event_Oevent: $i ).
thf(v_NB_decl,type,
v_NB: $i ).
thf(c_Message_Omsg_ONonce_decl,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(v_NBa_decl,type,
v_NBa: $i ).
thf(c_Event_Oevent_OSays_decl,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(v_Ba_decl,type,
v_Ba: $i ).
thf(c_Message_Oagent_OServer_decl,type,
c_Message_Oagent_OServer: $i ).
thf(c_Message_Omsg_OMPair_decl,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(v_NAa_decl,type,
v_NAa: $i ).
thf(c_Message_Omsg_OAgent_decl,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(v_Aa_decl,type,
v_Aa: $i ).
thf(c_Message_Omsg_OCrypt_decl,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(c_Public_OshrK_decl,type,
c_Public_OshrK: $i > $i ).
thf(c_List_Oset_decl,type,
c_List_Oset: $i > $i > $i ).
thf(c_Event_Oevent_OGets_decl,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(v_NA_decl,type,
v_NA: $i ).
thf(c_Message_Oanalz_decl,type,
c_Message_Oanalz: $i > $i ).
thf(c_Event_Oknows_decl,type,
c_Event_Oknows: $i > $i > $i ).
thf(c_Message_Oagent_OSpy_decl,type,
c_Message_Oagent_OSpy: $i ).
thf(tc_Message_Omsg_decl,type,
tc_Message_Omsg: $i ).
thf(c_Message_Oparts_decl,type,
c_Message_Oparts: $i > $i ).
thf(v_sko__u__1_decl,type,
v_sko__u__1: $i > $i > $i > $i > $i > $i ).
thf(v_sko__usf_decl,type,
v_sko__usf: $i > $i > $i > $i ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( D @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
thf(25,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( D @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(14,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( A @ c_List_Oset ) @ ( C @ ( B @ ( A @ ( C @ ( B @ v_sko__usf ) ) @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( A @ c_List_Oset ) @ ( C @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_OtwayRees_Ootway @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( A @ c_List_Oset ) @ ( C @ ( B @ ( A @ ( C @ ( B @ v_sko__usf ) ) @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( A @ c_List_Oset ) @ ( C @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_OtwayRees_Ootway @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,negated_conjecture,
tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_Ba @ c_Message_Omsg_OAgent @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NBa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( v_Ba @ c_Message_Omsg_OAgent @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_Aa @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OGets ) @ c_in ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(13,plain,
tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_Ba @ c_Message_Omsg_OAgent @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NBa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( v_Ba @ c_Message_Omsg_OAgent @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_Aa @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OGets ) @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
( v_NA
= ( v_NAa @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(17,plain,
( v_NA
= ( v_NAa @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
( v_NB
= ( v_NBa @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
thf(18,plain,
( v_NB
= ( v_NBa @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,negated_conjecture,
! [A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_Ba @ c_Message_Omsg_OAgent @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NBa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( A @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( v_Ba @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
thf(19,plain,
! [A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_Ba @ c_Message_Omsg_OAgent @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NBa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( A @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( v_Ba @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(15,plain,
v_B = v_Ba,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(2,negated_conjecture,
tc_Event_Oevent @ tc_List_Olist @ ( c_OtwayRees_Ootway @ ( v_evs3 @ c_in ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(16,plain,
tc_Event_Oevent @ tc_List_Olist @ ( c_OtwayRees_Ootway @ ( v_evs3 @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( A @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( B @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( A @ ( D @ ( C @ ( B @ ( E @ v_sko__u__1 ) ) ) ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( B @ c_Message_Omsg_OAgent @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( B @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_OtwayRees_Ootway @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OCrypt__imp__OR2__dest_0) ).
thf(31,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( A @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( B @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( A @ ( D @ ( C @ ( B @ ( E @ v_sko__u__1 ) ) ) ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( B @ c_Message_Omsg_OAgent @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( B @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_OtwayRees_Ootway @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(35,plain,
$false,
inference(e,[status(thm)],[25,14,29,33,13,17,27,18,19,15,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV311-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 13:31:02 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.93/1.20 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/1.45 % [INFO] Parsing done (245ms).
% 1.19/1.47 % [INFO] Running in sequential loop mode.
% 1.86/1.97 % [INFO] eprover registered as external prover.
% 1.86/1.98 % [INFO] Scanning for conjecture ...
% 2.10/2.13 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.29/2.21 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.29/2.24 % [INFO] Problem is propositional (TPTP CNF).
% 2.29/2.25 % [INFO] Type checking passed.
% 2.29/2.26 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.72/3.07 % External prover 'e' found a proof!
% 3.72/3.08 % [INFO] Killing All external provers ...
% 3.72/3.08 % Time passed: 2453ms (effective reasoning time: 1601ms)
% 3.72/3.08 % Axioms used in derivation (5): cls_Event_OSays__imp__analz__Spy__dest_0, cls_OtwayRees_OGets__imp__Says__dest_0, cls_OtwayRees_OCrypt__imp__OR2__dest_0, cls_Message_Oanalz__into__parts__dest_0, cls_Message_OMPair__analz_0
% 3.72/3.08 % No. of inferences in proof: 25
% 3.72/3.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2453 ms resp. 1601 ms w/o parsing
% 3.72/3.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.72/3.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------