%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM530+1 : 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 : n001.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 08:09:04 AM UTC 2026
% Result : ContradictoryAxioms 6.31s 3.17s
% Output : Refutation 6.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 0 |; 0 &; 5 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(isPrime0_decl,type,
isPrime0: $i > $o ).
thf(xp_decl,type,
xp: $i ).
thf(50,axiom,
~ ( xp @ isPrime0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3161) ).
thf(277,plain,
~ ( xp @ isPrime0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(278,plain,
~ ( xp @ isPrime0 ),
inference(polarity_switch,[status(thm)],[277]) ).
thf(45,axiom,
xp @ isPrime0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).
thf(263,plain,
xp @ isPrime0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(284,plain,
~ $true,
inference(rewrite,[status(thm)],[278,263]) ).
thf(285,plain,
$false,
inference(simp,[status(thm)],[284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM530+1 : 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
% 0.15/0.41 % Computer : n001.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 03:13:26 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 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
% 0.83/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.44/1.22 % [INFO] Parsing done (224ms).
% 1.44/1.23 % [INFO] Running in sequential loop mode.
% 2.29/1.62 % [INFO] eprover registered as external prover.
% 2.29/1.63 % [INFO] Scanning for conjecture ...
% 2.47/1.71 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.72 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.73 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.77 % [INFO] Found a conjecture (or negated_conjecture) and 48 axioms. Running axiom selection ...
% 2.65/1.80 % [INFO] Axiom selection finished. Selected 48 axioms (removed 0 axioms).
% 2.65/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.65/1.81 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.65/1.81 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.65/1.81 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.65/1.81 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.65/1.88 % [INFO] Problem is first-order (TPTP FOF).
% 2.65/1.89 % [INFO] Type checking passed.
% 2.65/1.89 % [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 ...
% 6.31/3.16 % [INFO] Killing All external provers ...
% 6.31/3.16 % Time passed: 2604ms (effective reasoning time: 1925ms)
% 6.31/3.17 % Axioms used in derivation (2): m__3161, m__3025
% 6.31/3.17 % No. of inferences in proof: 7
% 6.31/3.17 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2604 ms resp. 1925 ms w/o parsing
% 6.31/3.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.31/3.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------