%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU557^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 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 : n020.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 08:28:31 AM UTC 2026
% Result : Theorem 3.55s 1.61s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 3 def)
% Number of atoms : 33 ( 19 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 74 ( 2 ~; 0 |; 5 &; 36 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 1 ^; 25 !; 5 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(exu_decl,type,
exu: ( $i > $o ) > $o ).
thf(exuEu_decl,type,
exuEu: $o ).
thf(descr_decl,type,
descr: ( $i > $o ) > $i ).
thf(descrp_decl,type,
descrp: $o ).
thf(exu_def,definition,
( exu
= ( ^ [A: $i > $o] :
? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) ) ) ) ).
thf(exuEu_def,definition,
( exuEu
= ( ! [A: $i > $o] :
( ( exu @ A )
=> ! [B: $i,C: $i] :
( ( A @ B )
=> ( ( A @ C )
=> ( B = C ) ) ) ) ) ) ).
thf(descrp_def,definition,
( descrp
= ( ! [A: $i > $o] :
( ( exu @ A )
=> ( A @ ( descr @ A ) ) ) ) ) ).
thf(1,conjecture,
( descrp
=> ( exuEu
=> ! [A: $i > $o,B: $i > $o] :
( ! [C: $i,D: $i] :
( ( C = D )
=> ( ( A @ C )
= ( B @ D ) ) )
=> ( ( exu @ A )
=> ( ( exu @ B )
=> ( ( descr @ A )
= ( descr @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',descr__Cong) ).
thf(2,negated_conjecture,
~ ( descrp
=> ( exuEu
=> ! [A: $i > $o,B: $i > $o] :
( ! [C: $i,D: $i] :
( ( C = D )
=> ( ( A @ C )
= ( B @ D ) ) )
=> ( ( exu @ A )
=> ( ( exu @ B )
=> ( ( descr @ A )
= ( descr @ B ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i > $o] :
( ? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) )
=> ( A @ ( descr @ A ) ) )
=> ( ! [A: $i > $o] :
( ? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) )
=> ! [B: $i,C: $i] :
( ( A @ B )
=> ( ( A @ C )
=> ( B = C ) ) ) )
=> ! [A: $i > $o,B: $i > $o] :
( ! [C: $i,D: $i] :
( ( C = D )
=> ( ( A @ C )
= ( B @ D ) ) )
=> ( ? [C: $i] :
( ( A @ C )
& ! [D: $i] :
( ( A @ D )
=> ( C = D ) ) )
=> ( ? [C: $i] :
( ( B @ C )
& ! [D: $i] :
( ( B @ D )
=> ( C = D ) ) )
=> ( ( descr @ A )
= ( descr @ B ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(38,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU557^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.07 % 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
% 0.10/0.21 % Computer : n020.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 13:50:49 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 0.79/0.57 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.96/0.67 % [INFO] Parsing done (101ms).
% 0.96/0.68 % [INFO] Running in sequential loop mode.
% 1.49/0.91 % [INFO] eprover registered as external prover.
% 1.49/0.92 % [INFO] Scanning for conjecture ...
% 1.49/1.03 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.76/1.07 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.76/1.07 % [INFO] Problem is higher-order (TPTP THF).
% 1.76/1.08 % [INFO] Type checking passed.
% 1.76/1.08 % [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 ...
% 3.55/1.61 % External prover 'e' found a proof!
% 3.55/1.61 % [INFO] Killing All external provers ...
% 3.55/1.61 % Time passed: 1261ms (effective reasoning time: 927ms)
% 3.55/1.61 % 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)>
% 3.55/1.61 % Axioms used in derivation (0):
% 3.55/1.61 % No. of inferences in proof: 4
% 3.55/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1261 ms resp. 927 ms w/o parsing
% 3.55/1.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.55/1.68 % [INFO] Killing All external provers ...
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