%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV011-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n020.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 08:57:55 AM UTC 2026
% Result : Unsatisfiable 2.73s 2.27s
% Output : Refutation 2.98s
% 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 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 4 ~; 2 |; 0 &; 28 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_holds_decl,type,
a_holds: $i > $o ).
thf(key_decl,type,
key: $i > $i > $i ).
thf(b_decl,type,
b: $i ).
thf(b_holds_decl,type,
b_holds: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(generate_key_decl,type,
generate_key: $i > $i ).
thf(an_a_nonce_decl,type,
an_a_nonce: $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( a @ ( A @ key ) @ b_holds )
| ~ ( b @ ( A @ key ) @ a_holds ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
thf(4,plain,
! [A: $i] :
( ~ ( a @ ( A @ key ) @ b_holds )
| ~ ( b @ ( A @ key ) @ a_holds ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
a @ ( an_a_nonce @ generate_key @ key ) @ b_holds,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_11) ).
thf(6,plain,
a @ ( an_a_nonce @ generate_key @ key ) @ b_holds,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
b @ ( an_a_nonce @ generate_key @ key ) @ a_holds,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_13) ).
thf(7,plain,
b @ ( an_a_nonce @ generate_key @ key ) @ a_holds,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
$false,
inference(e,[status(thm)],[4,6,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % 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
% 0.15/0.54 % Computer : n020.cluster.edu
% 0.15/0.54 % Model : x86_64 x86_64
% 0.15/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.54 % Memory : 8046.5625MB
% 0.15/0.54 % OS : Linux 6.8.0-71-generic
% 0.15/0.54 % CPULimit : 300
% 0.15/0.54 % WCLimit : 300
% 0.15/0.54 % DateTime : Sat Sep 26 13:06:21 UTC 2026
% 0.15/0.54 % CPUTime :
% 0.15/0.54 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
% 0.85/1.11 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.11/1.29 % [INFO] Parsing done (174ms).
% 1.27/1.30 % [INFO] Running in sequential loop mode.
% 1.82/1.70 % [INFO] eprover registered as external prover.
% 1.82/1.71 % [INFO] Scanning for conjecture ...
% 1.99/1.80 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.99/1.83 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.99/1.84 % [INFO] Problem is propositional (TPTP CNF).
% 1.99/1.84 % [INFO] Type checking passed.
% 1.99/1.84 % [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 ...
% 2.73/2.27 % External prover 'e' found a proof!
% 2.73/2.27 % [INFO] Killing All external provers ...
% 2.73/2.27 % Time passed: 1588ms (effective reasoning time: 960ms)
% 2.73/2.27 % Axioms used in derivation (2): ax1_11, ax3_13
% 2.73/2.27 % No. of inferences in proof: 7
% 2.73/2.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1588 ms resp. 960 ms w/o parsing
% 2.98/2.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.98/2.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------