%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV339-2 : 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 : n008.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 08:59:02 AM UTC 2026
% Result : Unsatisfiable 4.70s 13.07s
% Output : Refutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 2 ~; 2 |; 0 &; 26 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(c_Message_Omsg_OKey_decl,type,
c_Message_Omsg_OKey: $i > $i ).
thf(v_K_decl,type,
v_K: $i ).
thf(c_Event_Oused_decl,type,
c_Event_Oused: $i > $i ).
thf(v_evs3_decl,type,
v_evs3: $i ).
thf(tc_Message_Omsg_decl,type,
tc_Message_Omsg: $i ).
thf(c_Public_OshrK_decl,type,
c_Public_OshrK: $i > $i ).
thf(v_B_decl,type,
v_B: $i ).
thf(v_A_decl,type,
v_A: $i ).
thf(1,negated_conjecture,
~ ( tc_Message_Omsg @ ( v_evs3 @ c_Event_Oused @ ( v_K @ c_Message_Omsg_OKey @ c_in ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(4,plain,
~ ( tc_Message_Omsg @ ( v_evs3 @ c_Event_Oused @ ( v_K @ c_Message_Omsg_OKey @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
( ( v_K
= ( v_A @ c_Public_OshrK ) )
| ( v_K
= ( v_B @ c_Public_OshrK ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
thf(5,plain,
( ( v_K
= ( v_A @ c_Public_OshrK ) )
| ( v_K
= ( v_B @ c_Public_OshrK ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_Public_OshrK @ c_Message_Omsg_OKey @ c_in ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
thf(9,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_Public_OshrK @ c_Message_Omsg_OKey @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,plain,
$false,
inference(e,[status(thm)],[4,5,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV339-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.11 % 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
% 0.21/10.51 % Computer : n008.cluster.edu
% 0.21/10.51 % Model : x86_64 x86_64
% 0.21/10.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/10.51 % Memory : 8046.5625MB
% 0.21/10.51 % OS : Linux 6.8.0-71-generic
% 0.21/10.51 % CPULimit : 300
% 0.21/10.51 % WCLimit : 300
% 0.21/10.51 % DateTime : Sat Sep 26 13:35:21 UTC 2026
% 0.21/10.51 % CPUTime :
% 0.21/10.51 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
% 1.39/11.35 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.92/11.61 % [INFO] Parsing done (255ms).
% 1.92/11.63 % [INFO] Running in sequential loop mode.
% 2.82/12.24 % [INFO] eprover registered as external prover.
% 2.82/12.25 % [INFO] Scanning for conjecture ...
% 3.04/12.38 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 3.19/12.42 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 3.19/12.43 % [INFO] Problem is propositional (TPTP CNF).
% 3.19/12.44 % [INFO] Type checking passed.
% 3.19/12.45 % [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 ...
% 4.70/13.07 % External prover 'e' found a proof!
% 4.70/13.07 % [INFO] Killing All external provers ...
% 4.70/13.07 % Time passed: 2352ms (effective reasoning time: 1428ms)
% 4.70/13.07 % Axioms used in derivation (1): cls_Public_OshrK__in__used_0
% 4.70/13.07 % No. of inferences in proof: 7
% 4.70/13.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2352 ms resp. 1428 ms w/o parsing
% 4.70/13.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.70/13.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------