%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 : n002.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 09:16:47 AM UTC 2026
% Result : Unsatisfiable 4.12s 8.03s
% Output : Refutation 4.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_1_2_decl,type,
p_1_2: $o ).
thf(p_2_2_decl,type,
p_2_2: $o ).
thf(p_1_1_decl,type,
p_1_1: $o ).
thf(2,axiom,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_type11_1) ).
thf(16,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
inference(cnf,[status(esa)],[16]) ).
thf(10,axiom,
p_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_1) ).
thf(32,plain,
p_1_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
p_2_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_3) ).
thf(34,plain,
p_2_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
~ p_1_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_goal_1) ).
thf(14,plain,
~ p_1_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,plain,
~ p_1_2,
inference(polarity_switch,[status(thm)],[14]) ).
thf(36,plain,
( ~ $true
| ~ $true
| $false ),
inference(rewrite,[status(thm)],[17,32,34,15]) ).
thf(37,plain,
$false,
inference(simp,[status(thm)],[36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.09 % 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
% 0.17/5.46 % Computer : n002.cluster.edu
% 0.17/5.46 % Model : x86_64 x86_64
% 0.17/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.46 % Memory : 8046.5625MB
% 0.17/5.46 % OS : Linux 6.8.0-71-generic
% 0.17/5.46 % CPULimit : 300
% 0.17/5.46 % WCLimit : 300
% 0.17/5.46 % DateTime : Sat Sep 26 17:13:27 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.46 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
% 1.25/6.30 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.73/6.56 % [INFO] Parsing done (255ms).
% 1.73/6.58 % [INFO] Running in sequential loop mode.
% 2.69/7.16 % [INFO] eprover registered as external prover.
% 2.69/7.17 % [INFO] Scanning for conjecture ...
% 2.78/7.28 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 2.93/7.32 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 2.93/7.33 % [INFO] Problem is propositional (TPTP CNF).
% 2.93/7.34 % [INFO] Type checking passed.
% 2.93/7.34 % [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 ...
% 4.12/8.02 % [INFO] Killing All external provers ...
% 4.12/8.03 % Time passed: 2353ms (effective reasoning time: 1435ms)
% 4.12/8.03 % Axioms used in derivation (3): s2_type11_1, t2_1, t2_3
% 4.12/8.03 % No. of inferences in proof: 12
% 4.12/8.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2353 ms resp. 1435 ms w/o parsing
% 4.54/8.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.54/8.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------