%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO019_8 : TPTP v9.3.1. Released v8.0.0.
% 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 : Sun Sep 27 09:43:36 AM UTC 2026
% Result : Theorem 2.85s 2.35s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 1 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 27 ( 14 ~; 4 |; 5 &; 0 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
! [A: $o,B: $o] :
( ( B
& A )
<=> ~ ( ~ B
| ~ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ! [A: $o,B: $o] :
( ( B
& A )
<=> ~ ( ~ B
| ~ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $o,B: $o] :
( ( ~ ( ~ B
| ~ A )
=> ( B
& A ) )
& ( ( B
& A )
=> ~ ( ~ B
| ~ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO019_8 : TPTP v9.3.1. Released v8.0.0.
% 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
% 0.13/0.57 % Computer : n005.cluster.edu
% 0.13/0.57 % Model : x86_64 x86_64
% 0.13/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.57 % Memory : 8046.5625MB
% 0.13/0.57 % OS : Linux 6.8.0-71-generic
% 0.13/0.57 % CPULimit : 300
% 0.13/0.57 % WCLimit : 300
% 0.13/0.57 % DateTime : Sat Sep 26 18:55:17 UTC 2026
% 0.13/0.58 % CPUTime :
% 0.13/0.58 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
% 0.96/1.16 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/1.34 % [INFO] Parsing done (176ms).
% 1.21/1.35 % [INFO] Running in sequential loop mode.
% 1.79/1.74 % [INFO] eprover registered as external prover.
% 1.79/1.75 % [INFO] Scanning for conjecture ...
% 1.97/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.97/1.86 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.97/1.87 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.97/1.87 % [INFO] Type checking passed.
% 1.97/1.87 % [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 ...
% 2.85/2.34 % External prover 'e' found a proof!
% 2.85/2.35 % [INFO] Killing All external provers ...
% 2.85/2.35 % Time passed: 1634ms (effective reasoning time: 987ms)
% 2.85/2.35 % 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)>
% 2.85/2.35 % Axioms used in derivation (0):
% 2.85/2.35 % No. of inferences in proof: 4
% 2.85/2.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1634 ms resp. 987 ms w/o parsing
% 2.85/2.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.85/2.37 % [INFO] Killing All external provers ...
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