%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO282^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n003.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 08:45:31 AM UTC 2026
% Result : Theorem 4.33s 2.87s
% Output : Refutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 10 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 0 avg)
% Number of connectives : 27 ( 6 ~; 0 |; 1 &; 15 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 6 !; 10 ?; 18 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(sk1_decl,type,
sk1: b > $o ).
thf(sk2_decl,type,
sk2: b ).
thf(sk1_def,definition,
( sk1
= ( @+[A: b > $o] :
~ ( ? [B: b] : ( A @ B )
=> ? [B: b] : ( A @ B ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: b] : ( sk1 @ A ) ) ) ).
thf(1,conjecture,
! [A: b > $o] :
? [B: b] :
( ? [C: b] : ( A @ C )
=> ( A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cL51) ).
thf(2,negated_conjecture,
~ ! [A: b > $o] :
? [B: b] :
( ? [C: b] : ( A @ C )
=> ( A @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: b > $o] :
? [B: b] :
( ? [C: b] : ( A @ C )
=> ( A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: b > $o] :
( ? [B: b] : ( A @ B )
=> ? [B: b] : ( A @ B ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [A: b] :
( ( sk1 @ sk2 )
& ~ ( sk1 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
sk1 @ sk2,
inference(cnfConj,[status(thm)],[5]) ).
thf(7,plain,
! [A: b] :
~ ( sk1 @ A ),
inference(cnfConj,[status(thm)],[5]) ).
thf(8,plain,
$false,
inference(rewrite,[status(thm)],[6,7]) ).
thf(9,plain,
$false,
inference(simp,[status(thm)],[8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO282^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.25/0.33 % Computer : n003.cluster.edu
% 0.25/0.33 % Model : x86_64 x86_64
% 0.25/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.33 % Memory : 8046.5625MB
% 0.25/0.33 % OS : Linux 6.8.0-71-generic
% 0.25/0.33 % CPULimit : 300
% 0.25/0.33 % WCLimit : 300
% 0.25/0.33 % DateTime : Tue Sep 29 16:44:44 UTC 2026
% 0.25/0.33 % CPUTime :
% 0.25/0.33 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.32/1.10 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.71/1.36 % [INFO] Parsing done (256ms).
% 1.71/1.38 % [INFO] Running in sequential loop mode.
% 2.55/1.97 % [INFO] eprover registered as external prover.
% 2.55/1.99 % [INFO] Scanning for conjecture ...
% 2.86/2.10 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.86/2.14 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.86/2.14 % [INFO] Problem is higher-order (TPTP THF).
% 2.86/2.15 % [INFO] Type checking passed.
% 3.00/2.16 % [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 ...
% 4.33/2.86 % [INFO] Killing All external provers ...
% 4.33/2.86 % Time passed: 2403ms (effective reasoning time: 1472ms)
% 4.33/2.86 % 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)>
% 4.33/2.87 % Axioms used in derivation (0):
% 4.33/2.87 % No. of inferences in proof: 9
% 4.33/2.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2403 ms resp. 1472 ms w/o parsing
% 4.51/2.93 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.51/2.93 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------