%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n014.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 09:18:15 AM UTC 2026
% Result : Unsatisfiable 3.05s 2.24s
% Output : Refutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 66 ( 10 ~; 10 |; 0 &; 46 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $o ).
thf(m_decl,type,
m: $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(q_decl,type,
q: $i > $o ).
thf(f_decl,type,
f: $i > $i > $i ).
thf(g_decl,type,
g: $i > $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(4,negated_conjecture,
! [A: $i] :
( ~ ( A @ q )
| ~ ( A @ g @ m ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_4) ).
thf(10,plain,
! [A: $i] :
( ~ ( A @ q )
| ~ ( A @ g @ m ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( sk2 @ g @ p ) )
| ~ ( sk2 @ ( sk2 @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_5) ).
thf(6,plain,
! [A: $i] :
( ~ ( A @ ( sk2 @ g @ p ) )
| ~ ( sk2 @ ( sk2 @ p ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( A @ sk1 @ ( A @ p ) )
| ( A @ sk1 @ ( A @ f ) @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_3) ).
thf(9,plain,
! [A: $i] :
( ( A @ sk1 @ ( A @ p ) )
| ( A @ sk1 @ ( A @ f ) @ q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ p ) )
| ( A @ ( A @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_1) ).
thf(7,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ p ) )
| ( A @ ( A @ p ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( A @ sk1 @ ( A @ p ) )
| ( A @ m ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_2) ).
thf(8,plain,
! [A: $i] :
( ( A @ sk1 @ ( A @ p ) )
| ( A @ m ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[10,6,9,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % 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
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 18:22:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 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
% 0.87/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/1.17 % [INFO] Parsing done (176ms).
% 1.22/1.18 % [INFO] Running in sequential loop mode.
% 1.72/1.57 % [INFO] eprover registered as external prover.
% 1.72/1.58 % [INFO] Scanning for conjecture ...
% 1.89/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.06/1.73 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.06/1.73 % [INFO] Problem is propositional (TPTP CNF).
% 2.06/1.73 % [INFO] Type checking passed.
% 2.06/1.74 % [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 ...
% 3.05/2.24 % External prover 'e' found a proof!
% 3.05/2.24 % [INFO] Killing All external provers ...
% 3.05/2.24 % Time passed: 1707ms (effective reasoning time: 1051ms)
% 3.05/2.24 % Axioms used in derivation (0):
% 3.05/2.24 % No. of inferences in proof: 11
% 3.05/2.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1707 ms resp. 1051 ms w/o parsing
% 3.05/2.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.05/2.28 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------