%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN729-1 : TPTP v9.3.1. Released v2.5.0.
% 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 09:18:16 AM UTC 2026
% Result : Unsatisfiable 4.80s 3.15s
% Output : Refutation 5.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 60 ( 12 ~; 10 |; 0 &; 38 @)
% ( 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 : 7 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(l_decl,type,
l: $i > $i > $o ).
thf(g_decl,type,
g: $i > $i ).
thf(h_decl,type,
h: $i > $i ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(p_decl,type,
p: $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(2,negated_conjecture,
! [A: $i] :
( ~ ( A @ p )
| ( A @ sk1 @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_2) ).
thf(10,plain,
! [A: $i] :
( ~ ( A @ p )
| ( A @ sk1 @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( sk2 @ l ) )
| ~ ( A @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_6) ).
thf(9,plain,
! [A: $i] :
( ~ ( A @ ( sk2 @ l ) )
| ~ ( A @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ~ ( A @ p )
| ( A @ h @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_4) ).
thf(12,plain,
! [A: $i] :
( ~ ( A @ p )
| ( A @ h @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
sk2 @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_5) ).
thf(7,plain,
sk2 @ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ~ ( A @ p )
| ( A @ g @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_3) ).
thf(11,plain,
! [A: $i] :
( ~ ( A @ p )
| ( A @ g @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( A @ p )
| ( A @ sk1 @ h @ g @ ( A @ l ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_1) ).
thf(8,plain,
! [A: $i] :
( ~ ( A @ p )
| ( A @ sk1 @ h @ g @ ( A @ l ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[10,9,12,7,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN729-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.24/0.51 % Computer : n020.cluster.edu
% 0.24/0.51 % Model : x86_64 x86_64
% 0.24/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.51 % Memory : 8046.5625MB
% 0.24/0.51 % OS : Linux 6.8.0-71-generic
% 0.24/0.51 % CPULimit : 300
% 0.24/0.51 % WCLimit : 300
% 0.24/0.51 % DateTime : Sat Sep 26 18:23:19 UTC 2026
% 0.24/0.51 % CPUTime :
% 0.24/0.51 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
% 1.41/1.37 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.94/1.63 % [INFO] Parsing done (257ms).
% 1.94/1.66 % [INFO] Running in sequential loop mode.
% 2.77/2.20 % [INFO] eprover registered as external prover.
% 2.90/2.21 % [INFO] Scanning for conjecture ...
% 3.09/2.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.09/2.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.09/2.35 % [INFO] Problem is propositional (TPTP CNF).
% 3.09/2.35 % [INFO] Type checking passed.
% 3.09/2.36 % [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 ...
% 4.80/3.14 % External prover 'e' found a proof!
% 4.80/3.14 % [INFO] Killing All external provers ...
% 4.80/3.14 % Time passed: 2435ms (effective reasoning time: 1479ms)
% 4.80/3.14 % Axioms used in derivation (0):
% 4.80/3.14 % No. of inferences in proof: 13
% 4.80/3.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2435 ms resp. 1479 ms w/o parsing
% 5.04/3.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.04/3.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------