%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM519+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 : n012.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 08:09:02 AM UTC 2026
% Result : ContradictoryAxioms 10.14s 3.23s
% Output : Refutation 10.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 6 ~; 4 |; 0 &; 24 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(doDivides0_decl,type,
doDivides0: $i > $i > $o ).
thf(xn_decl,type,
xn: $i ).
thf(xm_decl,type,
xm: $i ).
thf(xr_decl,type,
xr: $i ).
thf(50,axiom,
( ( xm @ ( xr @ doDivides0 ) )
| ( xn @ ( xr @ doDivides0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).
thf(289,plain,
( ( xm @ ( xr @ doDivides0 ) )
| ( xn @ ( xr @ doDivides0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(290,plain,
( ( xm @ ( xr @ doDivides0 ) )
| ( xn @ ( xr @ doDivides0 ) ) ),
inference(cnf,[status(esa)],[289]) ).
thf(47,axiom,
~ ( xn @ ( xr @ doDivides0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
thf(274,plain,
~ ( xn @ ( xr @ doDivides0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(275,plain,
~ ( xn @ ( xr @ doDivides0 ) ),
inference(polarity_switch,[status(thm)],[274]) ).
thf(36,axiom,
~ ( xm @ ( xr @ doDivides0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).
thf(216,plain,
~ ( xm @ ( xr @ doDivides0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(217,plain,
~ ( xm @ ( xr @ doDivides0 ) ),
inference(polarity_switch,[status(thm)],[216]) ).
thf(3126,plain,
( $false
| $false ),
inference(rewrite,[status(thm)],[290,275,217]) ).
thf(3127,plain,
$false,
inference(simp,[status(thm)],[3126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % 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
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sat Sep 26 03:04:50 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 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
% 0.39/0.61 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.73 % [INFO] Parsing done (121ms).
% 0.65/0.74 % [INFO] Running in sequential loop mode.
% 1.10/0.94 % [INFO] eprover registered as external prover.
% 1.10/0.94 % [INFO] Scanning for conjecture ...
% 1.10/0.99 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.10/0.99 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.10/1.00 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.10/1.00 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.10/1.01 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.35/1.02 % [INFO] Found a conjecture (or negated_conjecture) and 53 axioms. Running axiom selection ...
% 1.35/1.07 % [INFO] Axiom selection finished. Selected 53 axioms (removed 0 axioms).
% 1.35/1.08 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.35/1.08 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.35/1.10 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.35/1.10 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.35/1.11 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.35/1.11 % [INFO] Problem is first-order (TPTP FOF).
% 1.60/1.12 % [INFO] Type checking passed.
% 1.60/1.12 % [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 ...
% 10.14/3.23 % [INFO] Killing All external provers ...
% 10.14/3.23 % Time passed: 2835ms (effective reasoning time: 2483ms)
% 10.14/3.23 % Axioms used in derivation (3): m__2449, m__2487, m__2698
% 10.14/3.23 % No. of inferences in proof: 11
% 10.14/3.23 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 2835 ms resp. 2483 ms w/o parsing
% 10.14/3.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.14/3.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------