%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV228^5 : 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 : n017.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 08:37:02 AM UTC 2026
% Result : Theorem 3.85s 2.23s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 23 ( 10 equ; 3 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 68 ( 10 ~; 5 |; 6 &; 38 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 1 ^; 9 !; 4 ?; 16 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cS_decl,type,
cS: a > $o ).
thf(sk1_decl,type,
sk1: a ).
thf(sk2_decl,type,
sk2: ( a > $o ) > a ).
thf(sk1_def,definition,
( sk1
= ( @+[A: a] :
~ ( ( cS @ A )
=> ? [B: a > $o] :
( ! [C: a] :
( ( B @ C )
=> ( cS @ C ) )
& ( B @ A ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( ^ [A: a > $o] :
@+[B: a] :
~ ( ( A @ B )
=> ( cS @ B ) ) ) ) ).
thf(1,conjecture,
! [A: a] :
( ( cS @ A )
=> ? [B: a > $o] :
( ! [C: a] :
( ( B @ C )
=> ( cS @ C ) )
& ( B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM91A_pme) ).
thf(2,negated_conjecture,
~ ! [A: a] :
( ( cS @ A )
=> ? [B: a > $o] :
( ! [C: a] :
( ( B @ C )
=> ( cS @ C ) )
& ( B @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a] :
( ( cS @ A )
=> ? [B: a > $o] :
( ! [C: a] :
( ( B @ C )
=> ( cS @ C ) )
& ( B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: a > $o] :
( ( cS @ sk1 )
& ( ( A @ ( sk2 @ A ) )
| ~ ( A @ sk1 ) )
& ( ~ ( cS @ ( sk2 @ A ) )
| ~ ( A @ sk1 ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
cS @ sk1,
inference(cnfConj,[status(thm)],[4]) ).
thf(6,plain,
! [A: a > $o] :
( ( A @ ( sk2 @ A ) )
| ~ ( A @ sk1 ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(8,plain,
( ( sk1
= ( sk2 @ ( (=) @ a @ sk1 ) ) )
| ( sk1 != sk1 ) ),
inference(replace_leibeq,[status(thm)],[6:[bind(A,$thf( (=) @ a @ sk1 ))]]) ).
thf(9,plain,
( ( ( sk2 @ ( (=) @ a @ sk1 ) )
= sk1 )
| ( sk1 != sk1 ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(10,plain,
( ( sk2 @ ( (=) @ a @ sk1 ) )
= sk1 ),
inference(simp,[status(thm)],[9]) ).
thf(39,plain,
$false,
inference(e,[status(thm)],[3,5,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV228^5 : 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
% 0.10/0.22 % Computer : n017.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 15:18:37 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 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
% 0.89/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.97 % [INFO] Parsing done (174ms).
% 1.24/0.98 % [INFO] Running in sequential loop mode.
% 1.84/1.38 % [INFO] eprover registered as external prover.
% 1.84/1.39 % [INFO] Scanning for conjecture ...
% 2.04/1.47 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.22/1.50 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.22/1.50 % [INFO] Problem is higher-order (TPTP THF).
% 2.22/1.51 % [INFO] Type checking passed.
% 2.22/1.52 % [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 ...
% 3.85/2.23 % External prover 'e' found a proof!
% 3.85/2.23 % [INFO] Killing All external provers ...
% 3.85/2.23 % Time passed: 1863ms (effective reasoning time: 1241ms)
% 3.85/2.23 % 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)>
% 3.85/2.23 % Axioms used in derivation (0):
% 3.85/2.23 % No. of inferences in proof: 10
% 3.85/2.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1863 ms resp. 1241 ms w/o parsing
% 3.85/2.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.85/2.28 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------