%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM559+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 : n016.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 08:09:09 AM UTC 2026
% Result : ContradictoryAxioms 7.67s 18.31s
% Output : Refutation 7.67s
% 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 : 15 ( 5 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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(xx_decl,type,
xx: $i ).
thf(xQ_decl,type,
xQ: $i ).
thf(41,axiom,
~ ~ ( xQ @ ( xx @ aElementOf0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2338) ).
thf(222,plain,
xQ @ ( xx @ aElementOf0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(27,axiom,
~ ( xQ @ ( xx @ aElementOf0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2323) ).
thf(157,plain,
~ ( xQ @ ( xx @ aElementOf0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(158,plain,
~ ( xQ @ ( xx @ aElementOf0 ) ),
inference(polarity_switch,[status(thm)],[157]) ).
thf(488,plain,
$false,
inference(rewrite,[status(thm)],[222,158]) ).
thf(489,plain,
$false,
inference(simp,[status(thm)],[488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM559+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
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.21/15.42 % CPULimit : 300
% 0.21/15.42 % WCLimit : 300
% 0.21/15.42 % DateTime : Sat Sep 26 03:14:17 UTC 2026
% 0.21/15.43 % CPUTime :
% 0.21/15.43 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
% 0.34/15.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.48/16.25 % [INFO] Parsing done (249ms).
% 1.48/16.26 % [INFO] Running in sequential loop mode.
% 2.37/16.66 % [INFO] eprover registered as external prover.
% 2.37/16.67 % [INFO] Scanning for conjecture ...
% 2.61/16.73 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.61/16.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.61/16.76 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.61/16.76 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.61/16.78 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.61/16.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.61/16.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.83/16.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.83/16.83 % [INFO] Found a conjecture (or negated_conjecture) and 69 axioms. Running axiom selection ...
% 3.02/16.92 % [INFO] Axiom selection finished. Selected 69 axioms (removed 0 axioms).
% 3.02/16.95 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/16.97 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/16.97 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/16.97 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/16.98 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/16.98 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/16.98 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/16.99 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/17.00 % [INFO] Problem is first-order (TPTP FOF).
% 3.02/17.02 % [INFO] Type checking passed.
% 3.02/17.02 % [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 ...
% 7.67/18.31 % [INFO] Killing All external provers ...
% 7.67/18.31 % Time passed: 2749ms (effective reasoning time: 2042ms)
% 7.67/18.31 % Axioms used in derivation (2): m__2338, m__2323
% 7.67/18.31 % No. of inferences in proof: 7
% 7.67/18.31 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 2749 ms resp. 2042 ms w/o parsing
% 7.67/18.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.67/18.33 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------