%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV076+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 : n020.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 08:58:05 AM UTC 2026
% Result : Theorem 7.27s 3.32s
% Output : Refutation 7.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 2 ~; 0 |; 4 &; 24 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(n0_decl,type,
n0: $i ).
thf(pv31_decl,type,
pv31: $i ).
thf(minus_decl,type,
minus: $i > $i > $i ).
thf(n5_decl,type,
n5: $i ).
thf(n1_decl,type,
n1: $i ).
thf(1,conjecture,
( ( ( n1 @ ( n5 @ minus ) @ ( pv31 @ leq ) )
& ( pv31 @ ( n0 @ leq ) ) )
=> ( ( n1 @ ( n5 @ minus ) @ ( pv31 @ leq ) )
& ( pv31 @ ( n0 @ leq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0017) ).
thf(2,negated_conjecture,
~ ( ( ( n1 @ ( n5 @ minus ) @ ( pv31 @ leq ) )
& ( pv31 @ ( n0 @ leq ) ) )
=> ( ( n1 @ ( n5 @ minus ) @ ( pv31 @ leq ) )
& ( pv31 @ ( n0 @ leq ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(85,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(86,plain,
$false,
inference(simp,[status(thm)],[85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV076+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.09 % 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
% 0.15/0.42 % Computer : n020.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 13:11:50 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 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
% 0.86/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.37/1.29 % [INFO] Parsing done (271ms).
% 1.76/1.30 % [INFO] Running in sequential loop mode.
% 2.42/1.70 % [INFO] eprover registered as external prover.
% 2.42/1.71 % [INFO] Scanning for conjecture ...
% 2.64/1.82 % [INFO] Found a conjecture (or negated_conjecture) and 84 axioms. Running axiom selection ...
% 2.84/1.92 % [INFO] Axiom selection finished. Selected 82 axioms (removed 2 axioms).
% 3.21/2.07 % [INFO] Problem is first-order (TPTP FOF).
% 3.21/2.09 % [INFO] Type checking passed.
% 3.21/2.10 % [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 ...
% 7.27/3.31 % [INFO] Killing All external provers ...
% 7.27/3.32 % Time passed: 2740ms (effective reasoning time: 2003ms)
% 7.27/3.32 % 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)>
% 7.27/3.32 % Axioms used in derivation (0):
% 7.27/3.32 % No. of inferences in proof: 4
% 7.27/3.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2740 ms resp. 2003 ms w/o parsing
% 7.27/3.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.27/3.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------