%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL732^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n005.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 08:14:13 AM UTC 2026
% Result : Theorem 2.16s 1.68s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 16 ( 2 ~; 0 |; 0 &; 8 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 0 ^; 4 !; 8 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(y_decl,type,
y: $i ).
thf(p_decl,type,
p: $i > $o ).
thf(1,conjecture,
( ! [A: b > $o] :
? [B: b] :
( ? [C: $i] : ( p @ C )
=> ( p @ y ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: $i] : ( p @ C )
=> ( p @ y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5310_SUB3) ).
thf(2,negated_conjecture,
~ ( ! [A: b > $o] :
? [B: b] :
( ? [C: $i] : ( p @ C )
=> ( p @ y ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: $i] : ( p @ C )
=> ( p @ y ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL732^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.12/0.23 % Computer : n005.cluster.edu
% 0.12/0.23 % Model : x86_64 x86_64
% 0.12/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.23 % Memory : 8046.5625MB
% 0.12/0.23 % OS : Linux 6.8.0-71-generic
% 0.12/0.24 % CPULimit : 300
% 0.12/0.24 % WCLimit : 300
% 0.12/0.24 % DateTime : Tue Sep 29 10:03:01 UTC 2026
% 0.12/0.24 % CPUTime :
% 0.12/0.24 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
% 0.97/0.81 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.14/0.98 % [INFO] Parsing done (174ms).
% 1.14/1.00 % [INFO] Running in sequential loop mode.
% 1.87/1.40 % [INFO] eprover registered as external prover.
% 1.87/1.41 % [INFO] Scanning for conjecture ...
% 1.87/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.02/1.52 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.02/1.52 % [INFO] Problem is higher-order (TPTP THF).
% 2.02/1.53 % [INFO] Type checking passed.
% 2.02/1.53 % [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 ...
% 2.16/1.68 % [INFO] Killing All external provers ...
% 2.16/1.68 % Time passed: 1300ms (effective reasoning time: 673ms)
% 2.16/1.68 % Solved by 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)>
% 2.16/1.68 % Axioms used in derivation (0):
% 2.16/1.68 % No. of inferences in proof: 4
% 2.16/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1300 ms resp. 673 ms w/o parsing
% 2.34/1.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.34/1.73 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------