%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM626+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 : 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 08:09:20 AM UTC 2026
% Result : ContradictoryAxioms 6.40s 3.23s
% Output : Refutation 6.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 3 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 0 ~; 0 |; 1 &; 2 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(aElementOf0_decl,type,
aElementOf0: $i > $i > $o ).
thf(xP_decl,type,
xP: $i ).
thf(xp_decl,type,
xp: $i ).
thf(98,axiom,
( $false
& ( xP @ ( xp @ aElementOf0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5538) ).
thf(605,plain,
$false,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(606,plain,
$false,
inference(simp,[status(thm)],[605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM626+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % 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
% 0.13/0.41 % Computer : n020.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sat Sep 26 03:31:04 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 0.84/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.33/1.28 % [INFO] Parsing done (278ms).
% 1.77/1.30 % [INFO] Running in sequential loop mode.
% 2.19/1.68 % [INFO] eprover registered as external prover.
% 2.19/1.69 % [INFO] Scanning for conjecture ...
% 2.40/1.76 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.40/1.77 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.40/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.40/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.58/1.81 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.58/1.81 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.58/1.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.58/1.83 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.58/1.83 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.58/1.84 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.58/1.84 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.58/1.88 % [INFO] Found a conjecture (or negated_conjecture) and 121 axioms. Running axiom selection ...
% 2.77/2.00 % [INFO] Axiom selection finished. Selected 121 axioms (removed 0 axioms).
% 3.06/2.04 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.07 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.07 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.07 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.08 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.08 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.08 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.09 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.10 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.10 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.10 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.06/2.12 % [INFO] Problem is first-order (TPTP FOF).
% 3.30/2.13 % [INFO] Type checking passed.
% 3.30/2.14 % [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 ...
% 6.40/3.22 % [INFO] Killing All external provers ...
% 6.40/3.22 % Time passed: 2665ms (effective reasoning time: 1917ms)
% 6.40/3.23 % Axioms used in derivation (1): m__5538
% 6.40/3.23 % No. of inferences in proof: 3
% 6.40/3.23 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 2665 ms resp. 1917 ms w/o parsing
% 6.40/3.26 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.40/3.26 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------