%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN274-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n012.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 09:17:06 AM UTC 2026
% Result : Unsatisfiable 7.44s 2.71s
% Output : Refutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 3 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(q0_decl,type,
q0: $i > $i > $o ).
thf(d_decl,type,
d: $i ).
thf(302,axiom,
d @ ( d @ q0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(944,plain,
d @ ( d @ q0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( d @ ( A @ q0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(368,plain,
! [A: $i] :
~ ( d @ ( A @ q0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(369,plain,
! [A: $i] :
~ ( d @ ( A @ q0 ) ),
inference(polarity_switch,[status(thm)],[368]) ).
thf(1088,plain,
$false,
inference(rewrite,[status(thm)],[944,369]) ).
thf(1089,plain,
$false,
inference(simp,[status(thm)],[1088]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN274-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % 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
% 0.04/0.53 % Computer : n012.cluster.edu
% 0.04/0.53 % Model : x86_64 x86_64
% 0.04/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.53 % Memory : 8046.5625MB
% 0.04/0.53 % OS : Linux 6.8.0-71-generic
% 0.04/0.53 % CPULimit : 300
% 0.04/0.53 % WCLimit : 300
% 0.04/0.53 % DateTime : Sat Sep 26 17:28:58 UTC 2026
% 0.04/0.53 % CPUTime :
% 0.04/0.53 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
% 0.08/0.81 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.08/0.96 % [INFO] Parsing done (148ms).
% 0.08/0.97 % [INFO] Running in sequential loop mode.
% 1.27/1.16 % [INFO] eprover registered as external prover.
% 1.27/1.16 % [INFO] Scanning for conjecture ...
% 1.44/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 1.71/1.32 % [INFO] Axiom selection finished. Selected 366 axioms (removed 2 axioms).
% 2.10/1.42 % [INFO] Problem is propositional (TPTP CNF).
% 2.10/1.43 % [INFO] Type checking passed.
% 2.10/1.43 % [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 ...
% 7.44/2.71 % [INFO] Killing All external provers ...
% 7.44/2.71 % Time passed: 2104ms (effective reasoning time: 1736ms)
% 7.44/2.71 % Axioms used in derivation (1): axiom_25
% 7.44/2.71 % No. of inferences in proof: 7
% 7.44/2.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2104 ms resp. 1736 ms w/o parsing
% 7.44/2.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.44/2.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------