%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU504^2 : 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 : n009.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 08:28:19 AM UTC 2026
% Result : Theorem 3.37s 2.07s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 10 unt; 0 typ; 4 def)
% Number of atoms : 28 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 7 ~; 1 |; 7 &; 23 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 1 ^; 13 !; 8 ?; 24 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(exu_decl,type,
exu: ( $i > $o ) > $o ).
thf(exuE1_decl,type,
exuE1: $o ).
thf(sk1_decl,type,
sk1: $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(exu_def,definition,
( exu
= ( ^ [A: $i > $o] :
? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) ) ) ) ).
thf(exuE1_def,definition,
( exuE1
= ( ! [A: $i > $o] :
( ( exu @ A )
=> ? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) ) ) ) ) ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i > $o] :
~ ( ? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) )
=> ? [B: $i] : ( A @ B ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
( ( sk1 @ A )
& ! [B: $i] :
( ( sk1 @ B )
=> ( A = B ) ) ) ) ) ).
thf(1,conjecture,
( exuE1
=> ! [A: $i > $o] :
( ( exu @ A )
=> ? [B: $i] : ( A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuE3e) ).
thf(2,negated_conjecture,
~ ( exuE1
=> ! [A: $i > $o] :
( ( exu @ A )
=> ? [B: $i] : ( A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $o] :
( ? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) )
=> ? [B: $i] : ( A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [B: $i,A: $i] :
( ( sk1 @ sk2 )
& ( ~ ( sk1 @ A )
| ( sk2 = A ) )
& ~ ( sk1 @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
sk1 @ sk2,
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
! [A: $i] :
~ ( sk1 @ A ),
inference(cnfConj,[status(thm)],[4]) ).
thf(9,plain,
! [A: $i] :
~ ( sk1 @ A ),
inference(simp,[status(thm)],[7]) ).
thf(10,plain,
$false,
inference(rewrite,[status(thm)],[5,9]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU504^2 : 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
% 0.11/0.20 % Computer : n009.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 13:47:00 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 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
% 0.89/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.97 % [INFO] Parsing done (187ms).
% 1.24/0.98 % [INFO] Running in sequential loop mode.
% 1.86/1.39 % [INFO] eprover registered as external prover.
% 2.05/1.40 % [INFO] Scanning for conjecture ...
% 2.23/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.23/1.53 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.23/1.53 % [INFO] Problem is higher-order (TPTP THF).
% 2.23/1.54 % [INFO] Type checking passed.
% 2.23/1.54 % [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 ...
% 3.37/2.06 % [INFO] Killing All external provers ...
% 3.37/2.06 % Time passed: 1721ms (effective reasoning time: 1070ms)
% 3.37/2.06 % 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)>
% 3.37/2.06 % Axioms used in derivation (0):
% 3.37/2.06 % No. of inferences in proof: 9
% 3.37/2.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1721 ms resp. 1070 ms w/o parsing
% 3.37/2.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.37/2.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------