%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV336-2 : 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 : n015.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 08:59:01 AM UTC 2026
% Result : Unsatisfiable 2.62s 2.12s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 153 ( 3 ~; 0 |; 0 &; 150 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(c_Event_Oevent_OSays_decl,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(c_Message_Oagent_OServer_decl,type,
c_Message_Oagent_OServer: $i ).
thf(v_Aa_decl,type,
v_Aa: $i ).
thf(c_Message_Omsg_OMPair_decl,type,
c_Message_Omsg_OMPair: $i > $i > $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_Message_Omsg_OAgent_decl,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(v_Ba_decl,type,
v_Ba: $i ).
thf(c_Message_Omsg_OKey_decl,type,
c_Message_Omsg_OKey: $i > $i ).
thf(v_K_decl,type,
v_K: $i ).
thf(c_Message_Omsg_ONonce_decl,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(v_NAa_decl,type,
v_NAa: $i ).
thf(v_NB_decl,type,
v_NB: $i ).
thf(c_List_Oset_decl,type,
c_List_Oset: $i > $i > $i ).
thf(v_evs3_decl,type,
v_evs3: $i ).
thf(tc_Event_Oevent_decl,type,
tc_Event_Oevent: $i ).
thf(1,negated_conjecture,
tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_K @ c_Message_Omsg_OKey @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OKey @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_Aa @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_Message_Omsg_OMPair ) @ ( v_Aa @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(3,plain,
tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_K @ c_Message_Omsg_OKey @ ( v_Aa @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NAa @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OKey @ c_Message_Omsg_OMPair ) @ ( v_Ba @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_Aa @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_Message_Omsg_OMPair ) @ ( v_Aa @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_K @ c_Message_Omsg_OKey @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OKey @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
thf(4,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_K @ c_Message_Omsg_OKey @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OKey @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs3 @ c_List_Oset ) @ ( v_K @ c_Message_Omsg_OKey @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OKey @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Public_OshrK @ c_Message_Omsg_OCrypt ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
$false,
inference(rewrite,[status(thm)],[3,5]) ).
thf(7,plain,
$false,
inference(simp,[status(thm)],[6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV336-2 : 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
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 13:37:13 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.66/0.75 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.95/0.98 % [INFO] Parsing done (226ms).
% 0.95/1.00 % [INFO] Running in sequential loop mode.
% 1.55/1.49 % [INFO] eprover registered as external prover.
% 1.70/1.50 % [INFO] Scanning for conjecture ...
% 1.83/1.64 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.95/1.71 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.95/1.71 % [INFO] Problem is propositional (TPTP CNF).
% 1.95/1.71 % [INFO] Type checking passed.
% 1.95/1.72 % [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 ...
% 2.62/2.12 % [INFO] Killing All external provers ...
% 2.62/2.12 % Time passed: 1645ms (effective reasoning time: 1111ms)
% 2.62/2.12 % Axioms used in derivation (0):
% 2.62/2.12 % No. of inferences in proof: 7
% 2.62/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1645 ms resp. 1111 ms w/o parsing
% 2.62/2.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.62/2.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------