%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV349-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n010.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 08:59:06 AM UTC 2026
% Result : Unsatisfiable 2.97s 8.03s
% Output : Refutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 54 ( 2 ~; 0 |; 0 &; 52 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(c_Event_Oevent_ONotes_decl,type,
c_Event_Oevent_ONotes: $i > $i > $i ).
thf(c_Message_Oagent_OSpy_decl,type,
c_Message_Oagent_OSpy: $i ).
thf(c_Message_Omsg_OMPair_decl,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(c_Message_Omsg_ONonce_decl,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(v_NA_decl,type,
v_NA: $i ).
thf(v_NB_decl,type,
v_NB: $i ).
thf(c_List_Oset_decl,type,
c_List_Oset: $i > $i > $i ).
thf(v_evso_decl,type,
v_evso: $i ).
thf(tc_Event_Oevent_decl,type,
tc_Event_Oevent: $i ).
thf(v_k_decl,type,
v_k: $i ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evso @ c_List_Oset ) @ ( A @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(3,plain,
! [A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evso @ c_List_Oset ) @ ( A @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evso @ c_List_Oset ) @ ( v_k @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(4,plain,
tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evso @ c_List_Oset ) @ ( v_k @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
$false,
inference(e,[status(thm)],[3,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV349-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/6.27 % Computer : n010.cluster.edu
% 0.13/6.27 % Model : x86_64 x86_64
% 0.13/6.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/6.27 % Memory : 8046.5625MB
% 0.13/6.27 % OS : Linux 6.8.0-71-generic
% 0.13/6.27 % CPULimit : 300
% 0.13/6.27 % WCLimit : 300
% 0.13/6.27 % DateTime : Sat Sep 26 13:36:54 UTC 2026
% 0.13/6.27 % CPUTime :
% 0.13/6.27 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.90/6.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/7.04 % [INFO] Parsing done (177ms).
% 1.26/7.05 % [INFO] Running in sequential loop mode.
% 1.76/7.45 % [INFO] eprover registered as external prover.
% 1.76/7.46 % [INFO] Scanning for conjecture ...
% 1.94/7.56 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.94/7.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.94/7.60 % [INFO] Problem is propositional (TPTP CNF).
% 1.94/7.60 % [INFO] Type checking passed.
% 2.10/7.60 % [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 ...
% 2.97/8.03 % External prover 'e' found a proof!
% 2.97/8.03 % [INFO] Killing All external provers ...
% 2.97/8.03 % Time passed: 1615ms (effective reasoning time: 969ms)
% 2.97/8.03 % Axioms used in derivation (0):
% 2.97/8.03 % No. of inferences in proof: 5
% 2.97/8.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1615 ms resp. 969 ms w/o parsing
% 2.97/8.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.97/8.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------