%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET608^5 : 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 08:23:00 AM UTC 2026
% Result : Theorem 3.53s 2.16s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 56 ( 10 equ; 0 cnn)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 120 ( 20 ~; 21 |; 23 &; 56 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 7 ^; 7 !; 0 ?; 16 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_decl,type,
sk1: a > $o ).
thf(sk2_decl,type,
sk2: a > $o ).
thf(sk3_decl,type,
sk3: a ).
thf(sk1_def,definition,
( sk1
= ( @+[A: a > $o] :
~ ! [B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
& ( B @ C ) )
| ( ( A @ C )
& ~ ( B @ C ) ) ) )
= A ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: a > $o] :
( ( ^ [B: a] :
( ( ( sk1 @ B )
& ( A @ B ) )
| ( ( sk1 @ B )
& ~ ( A @ B ) ) ) )
!= sk1 ) ) ) ).
thf(1,conjecture,
! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
& ( B @ C ) )
| ( ( A @ C )
& ~ ( B @ C ) ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_80_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
& ( B @ C ) )
| ( ( A @ C )
& ~ ( B @ C ) ) ) )
= A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
& ( B @ C ) )
| ( ( A @ C )
& ~ ( B @ C ) ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: a] :
( ( ( sk1 @ A )
& ( sk2 @ A ) )
| ( ( sk1 @ A )
& ~ ( sk2 @ A ) ) ) )
!= sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ^ [A: a] :
( ( ( sk1 @ A )
& ( sk2 @ A ) )
| ( ( sk1 @ A )
& ~ ( sk2 @ A ) ) ) )
!= sk1 ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
( ( ( ( sk1 @ sk3 )
& ( sk2 @ sk3 ) )
| ( ( sk1 @ sk3 )
& ~ ( sk2 @ sk3 ) ) )
!= ( sk1 @ sk3 ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(8,plain,
( ( ( sk1 @ sk3 )
& ( sk2 @ sk3 ) )
| ( ( sk1 @ sk3 )
& ~ ( sk2 @ sk3 ) )
| ( sk1 @ sk3 ) ),
inference(bool_ext,[status(thm)],[6]) ).
thf(14,plain,
( ( ( sk1 @ sk3 )
| ( sk1 @ sk3 )
| ( sk1 @ sk3 ) )
& ( ( sk1 @ sk3 )
| ~ ( sk2 @ sk3 )
| ( sk1 @ sk3 ) )
& ( ( sk2 @ sk3 )
| ( sk1 @ sk3 )
| ( sk1 @ sk3 ) )
& ( ( sk2 @ sk3 )
| ~ ( sk2 @ sk3 )
| ( sk1 @ sk3 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(15,plain,
( ( sk1 @ sk3 )
| ( sk1 @ sk3 )
| ( sk1 @ sk3 ) ),
inference(cnfConj,[status(thm)],[14]) ).
thf(19,plain,
sk1 @ sk3,
inference(simp,[status(thm)],[15]) ).
thf(22,plain,
~ ( ( $true
& ( sk2 @ sk3 ) )
| ( $true
& ~ ( sk2 @ sk3 ) ) ),
inference(rewrite,[status(thm)],[6,19]) ).
thf(23,plain,
$false,
inference(simp,[status(thm)],[22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET608^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.10/0.20 % Computer : n005.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 13:38:46 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
% 0.90/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.98 % [INFO] Parsing done (187ms).
% 1.24/0.99 % [INFO] Running in sequential loop mode.
% 2.02/1.40 % [INFO] eprover registered as external prover.
% 2.02/1.41 % [INFO] Scanning for conjecture ...
% 2.02/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.20/1.53 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.20/1.53 % [INFO] Problem is higher-order (TPTP THF).
% 2.20/1.54 % [INFO] Type checking passed.
% 2.20/1.54 % [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 ...
% 3.53/2.15 % [INFO] Killing All external provers ...
% 3.53/2.16 % Time passed: 1813ms (effective reasoning time: 1155ms)
% 3.53/2.16 % 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)>
% 3.53/2.16 % Axioms used in derivation (0):
% 3.53/2.16 % No. of inferences in proof: 12
% 3.53/2.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1813 ms resp. 1155 ms w/o parsing
% 3.70/2.21 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.70/2.21 % [INFO] Killing All external provers ...
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