%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV014^5 : 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 : n014.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 08:36:43 AM UTC 2026
% Result : Theorem 3.47s 2.09s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 15 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 116 ( 10 ~; 3 |; 15 &; 76 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 38 !; 0 ?; 40 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_decl,type,
sk1: a > a > $o ).
thf(sk2_decl,type,
sk2: a ).
thf(sk1_def,definition,
( sk1
= ( @+[A: a > a > $o] :
~ ( ( ! [B: a] : ( A @ B @ B )
& ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a] : ( A @ B @ B ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: a] :
~ ( sk1 @ A @ A ) ) ) ).
thf(1,conjecture,
! [A: a > a > $o] :
( ( ! [B: a] : ( A @ B @ B )
& ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a] : ( A @ B @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM513_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o] :
( ( ! [B: a] : ( A @ B @ B )
& ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a] : ( A @ B @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o] :
( ( ! [B: a] : ( A @ B @ B )
& ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a] : ( A @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [F: a,E: a,D: a,C: a,B: a,A: a] :
( ( sk1 @ A @ A )
& ( ~ ( sk1 @ B @ C )
| ( sk1 @ C @ B ) )
& ( ~ ( sk1 @ D @ E )
| ~ ( sk1 @ E @ F )
| ( sk1 @ D @ F ) )
& ~ ( sk1 @ sk2 @ sk2 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
~ ( sk1 @ sk2 @ sk2 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(5,plain,
! [A: a] : ( sk1 @ A @ A ),
inference(cnfConj,[status(thm)],[4]) ).
thf(11,plain,
~ $true,
inference(rewrite,[status(thm)],[8,5]) ).
thf(12,plain,
$false,
inference(simp,[status(thm)],[11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV014^5 : 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 : n014.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 15:00:15 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 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
% 0.92/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/0.97 % [INFO] Parsing done (183ms).
% 1.26/0.98 % [INFO] Running in sequential loop mode.
% 1.87/1.39 % [INFO] eprover registered as external prover.
% 2.07/1.40 % [INFO] Scanning for conjecture ...
% 2.07/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.25/1.52 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.25/1.52 % [INFO] Problem is higher-order (TPTP THF).
% 2.25/1.53 % [INFO] Type checking passed.
% 2.25/1.53 % [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 ...
% 3.47/2.08 % [INFO] Killing All external provers ...
% 3.47/2.09 % Time passed: 1747ms (effective reasoning time: 1096ms)
% 3.47/2.09 % 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)>
% 3.47/2.09 % Axioms used in derivation (0):
% 3.47/2.09 % No. of inferences in proof: 8
% 3.47/2.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1747 ms resp. 1096 ms w/o parsing
% 3.69/2.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.69/2.13 % [INFO] Killing All external provers ...
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