%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM520+3 : 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 : n004.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 08:09:03 AM UTC 2026
% Result : ContradictoryAxioms 8.32s 7.70s
% Output : Refutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 18 ~; 5 |; 4 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(sz00_decl,type,
sz00: $i ).
thf(sz10_decl,type,
sz10: $i ).
thf(xk_decl,type,
xk: $i ).
thf(3,axiom,
~ ( ( xk != sz10 )
& ( xk != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2327) ).
thf(59,plain,
~ ( ( xk != sz10 )
& ( xk != sz00 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(60,plain,
~ ( ( xk != sz10 )
& ( xk != sz00 ) ),
inference(polarity_switch,[status(thm)],[59]) ).
thf(61,plain,
( ( xk = sz10 )
| ( xk = sz00 ) ),
inference(cnf,[status(esa)],[60]) ).
thf(62,plain,
( ( xk = sz10 )
| ( xk = sz00 ) ),
inference(lifteq,[status(thm)],[61]) ).
thf(4,axiom,
~ ( ( xk = sz10 )
| ( xk = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2315) ).
thf(63,plain,
~ ( ( xk = sz10 )
| ( xk = sz00 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(64,plain,
~ ( ( xk = sz10 )
| ( xk = sz00 ) ),
inference(polarity_switch,[status(thm)],[63]) ).
thf(65,plain,
( ( xk != sz10 )
& ( xk != sz00 ) ),
inference(cnf,[status(esa)],[64]) ).
thf(66,plain,
xk != sz00,
inference(cnfConj,[status(thm)],[65]) ).
thf(68,plain,
xk != sz00,
inference(lifteq,[status(thm)],[66]) ).
thf(67,plain,
xk != sz10,
inference(cnfConj,[status(thm)],[65]) ).
thf(69,plain,
xk != sz10,
inference(lifteq,[status(thm)],[67]) ).
thf(408,plain,
$false,
inference(simplifyReflect,[status(thm)],[62,68,69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM520+3 : 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
% 0.14/5.41 % Computer : n004.cluster.edu
% 0.14/5.41 % Model : x86_64 x86_64
% 0.14/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.41 % Memory : 8046.5625MB
% 0.14/5.41 % OS : Linux 6.8.0-71-generic
% 0.14/5.41 % CPULimit : 300
% 0.14/5.41 % WCLimit : 300
% 0.14/5.41 % DateTime : Sat Sep 26 03:05:42 UTC 2026
% 0.14/5.41 % CPUTime :
% 0.14/5.41 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
% 0.17/5.72 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.17/5.85 % [INFO] Parsing done (134ms).
% 0.17/5.86 % [INFO] Running in sequential loop mode.
% 1.77/6.07 % [INFO] eprover registered as external prover.
% 1.77/6.07 % [INFO] Scanning for conjecture ...
% 1.77/6.12 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.77/6.12 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.77/6.13 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.77/6.13 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.13/6.13 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.13/6.15 % [INFO] Found a conjecture (or negated_conjecture) and 47 axioms. Running axiom selection ...
% 2.30/6.21 % [INFO] Axiom selection finished. Selected 47 axioms (removed 0 axioms).
% 2.30/6.22 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.30/6.23 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.30/6.23 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.30/6.24 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.30/6.24 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.30/6.26 % [INFO] Problem is first-order (TPTP FOF).
% 2.30/6.27 % [INFO] Type checking passed.
% 2.30/6.28 % [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 ...
% 7.86/7.69 % [INFO] Killing All external provers ...
% 7.86/7.70 % Time passed: 2182ms (effective reasoning time: 1830ms)
% 8.32/7.70 % Axioms used in derivation (2): m__2327, m__2315
% 8.32/7.70 % No. of inferences in proof: 14
% 8.32/7.70 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2182 ms resp. 1830 ms w/o parsing
% 8.32/7.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.32/7.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------