%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO025^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : 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 08:45:02 AM UTC 2026
% Result : Theorem 3.84s 2.28s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 6 equ; 4 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 49 ( 26 ~; 13 |; 10 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 8 ^; 0 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_decl,type,
sk1: $o ).
thf(sk2_decl,type,
sk2: $o ).
thf(1,conjecture,
( (&)
= ( ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( (&)
!= ( ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( (&)
!= ( ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( (&)
!= ( ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ) ),
inference(lifteq,[status(thm)],[3]) ).
thf(5,plain,
( ( sk1
& sk2 )
!= ( ~ ( ~ sk1
| ~ sk2 ) ) ),
inference(func_ext,[status(esa)],[4]) ).
thf(7,plain,
( ( sk1
& sk2 )
| ~ ( ~ sk1
| ~ sk2 ) ),
inference(bool_ext,[status(thm)],[5]) ).
thf(10,plain,
( ( sk1
| sk1 )
& ( sk1
| sk2 )
& ( sk2
| sk1 )
& ( sk2
| sk2 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(11,plain,
( sk1
| sk1 ),
inference(cnfConj,[status(thm)],[10]) ).
thf(14,plain,
sk1,
inference(simp,[status(thm)],[11]) ).
thf(16,plain,
( ( $true
& sk2 )
!= ( ~ ( ~ $true
| ~ sk2 ) ) ),
inference(rewrite,[status(thm)],[5,14]) ).
thf(17,plain,
$false,
inference(simp,[status(thm)],[16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO025^1 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.08/0.23 % Computer : n003.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Tue Sep 29 16:24:18 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 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
% 1.02/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/1.01 % [INFO] Parsing done (180ms).
% 1.21/1.02 % [INFO] Running in sequential loop mode.
% 1.97/1.43 % [INFO] eprover registered as external prover.
% 1.97/1.44 % [INFO] Scanning for conjecture ...
% 2.17/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.17/1.55 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.17/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 2.17/1.56 % [INFO] Type checking passed.
% 2.17/1.57 % [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 ...
% 3.84/2.27 % [INFO] Killing All external provers ...
% 3.84/2.27 % Time passed: 1894ms (effective reasoning time: 1243ms)
% 3.84/2.27 % 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)>
% 3.84/2.28 % Axioms used in derivation (0):
% 3.84/2.28 % No. of inferences in proof: 11
% 3.84/2.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1894 ms resp. 1243 ms w/o parsing
% 4.12/2.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.12/2.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------