%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN991^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n017.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 : Wed Sep 30 08:41:35 AM UTC 2026
% Result : Unsatisfiable 3.13s 1.99s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 typ; 1 def)
% Number of atoms : 5 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 7 ( 0 ~; 0 |; 0 &; 7 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 7 ( 1 ^; 6 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(refl_decl,type,
refl: ( $i > $i > $o ) > $o ).
thf(refl_def,definition,
( refl
= ( ^ [A: $i > $i > $o] :
! [B: $i] : ( A @ B @ B ) ) ) ).
thf(1,axiom,
! [A: $i > $i > $o] : ( refl @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(2,plain,
! [A: $i > $i > $o,B: $i] : ( A @ B @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,plain,
! [B: $i,A: $i > $i > $o] : ( A @ B @ B ),
inference(cnf,[status(esa)],[2]) ).
thf(5,plain,
$false,
inference(prim_subst,[status(thm)],[3:[bind(A,$thf( ^ [C: $i] : ^ [D: $i] : $false ))]]) ).
thf(10,plain,
$false,
inference(simp,[status(thm)],[5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN991^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08 % 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
% 0.07/0.20 % Computer : n017.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 16:15:37 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 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
% 0.90/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.97 % [INFO] Parsing done (181ms).
% 1.25/0.98 % [INFO] Running in sequential loop mode.
% 1.86/1.38 % [INFO] eprover registered as external prover.
% 1.86/1.39 % [INFO] Scanning for conjecture ...
% 2.07/1.45 % [INFO] 1 axioms and no conjecture found.
% 2.07/1.47 % [INFO] Problem is higher-order (TPTP THF).
% 2.07/1.48 % [INFO] Type checking passed.
% 2.07/1.48 % [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 ...
% 3.13/1.98 % [INFO] Killing All external provers ...
% 3.13/1.99 % Time passed: 1636ms (effective reasoning time: 996ms)
% 3.13/1.99 % Axioms used in derivation (1): ax
% 3.13/1.99 % No. of inferences in proof: 5
% 3.13/1.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1636 ms resp. 996 ms w/o parsing
% 3.13/2.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.13/2.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------