%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM634+1 : 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 : 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 08:09:21 AM UTC 2026
% Result : ContradictoryAxioms 8.81s 5.49s
% Output : Refutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(xK_decl,type,
xK: $i ).
thf(sz00_decl,type,
sz00: $i ).
thf(69,axiom,
~ ( ( xK != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
thf(507,plain,
xK = sz00,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(508,plain,
sz00 = xK,
inference(lifteq,[status(thm)],[507]) ).
thf(59,axiom,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
thf(404,plain,
xK != sz00,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(405,plain,
xK != sz00,
inference(polarity_switch,[status(thm)],[404]) ).
thf(406,plain,
sz00 != xK,
inference(lifteq,[status(thm)],[405]) ).
thf(583,plain,
$false,
inference(simplifyReflect,[status(thm)],[508,406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM634+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.13 % 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
% 0.18/0.70 % Computer : n005.cluster.edu
% 0.18/0.70 % Model : x86_64 x86_64
% 0.18/0.70 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.70 % Memory : 8046.5625MB
% 0.18/0.70 % OS : Linux 6.8.0-71-generic
% 0.19/0.70 % CPULimit : 300
% 0.19/0.70 % WCLimit : 300
% 0.19/0.70 % DateTime : Sat Sep 26 03:31:33 UTC 2026
% 0.19/0.70 % CPUTime :
% 0.19/0.70 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
% 1.01/1.51 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.36/1.79 % [INFO] Parsing done (269ms).
% 1.63/1.81 % [INFO] Running in sequential loop mode.
% 2.53/2.31 % [INFO] eprover registered as external prover.
% 2.53/2.32 % [INFO] Scanning for conjecture ...
% 2.53/2.37 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.53/2.39 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.41 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.41 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.43 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.44 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.45 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.45 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.46 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.47 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.69/2.48 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.85/2.54 % [INFO] Found a conjecture (or negated_conjecture) and 79 axioms. Running axiom selection ...
% 3.14/2.72 % [INFO] Axiom selection finished. Selected 79 axioms (removed 0 axioms).
% 3.14/2.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.14/2.77 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.14/2.78 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.14/2.78 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.14/2.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.14/2.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.14/2.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.14/2.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.32/2.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.32/2.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.32/2.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.32/2.85 % [INFO] Problem is first-order (TPTP FOF).
% 3.32/2.88 % [INFO] Type checking passed.
% 3.32/2.89 % [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 ...
% 8.81/5.48 % [INFO] Killing All external provers ...
% 8.81/5.48 % Time passed: 4607ms (effective reasoning time: 3665ms)
% 8.81/5.49 % Axioms used in derivation (2): m__3520, m__3462
% 8.81/5.49 % No. of inferences in proof: 8
% 8.81/5.49 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 4607 ms resp. 3665 ms w/o parsing
% 9.09/5.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.09/5.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------