%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM540+2 : 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 : n002.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 08:09:06 AM UTC 2026
% Result : Theorem 6.95s 3.33s
% Output : Refutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 typ; 1 def)
% Number of atoms : 26 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 14 ~; 4 |; 7 &; 54 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 ^; 5 !; 5 ?; 11 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(slcrc0_decl,type,
slcrc0: $i ).
thf(aSet0_decl,type,
aSet0: $i > $o ).
thf(aElementOf0_decl,type,
aElementOf0: $i > $i > $o ).
thf(slbdtrb0_decl,type,
slbdtrb0: $i > $i ).
thf(sz00_decl,type,
sz00: $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] : ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) ) ) ) ).
thf(1,conjecture,
( ( ! [A: $i] :
~ ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) )
& ( sz00 @ slbdtrb0 @ aSet0 ) )
=> ( ( ( sz00 @ slbdtrb0 )
= slcrc0 )
| ~ ? [A: $i] : ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
~ ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) )
& ( sz00 @ slbdtrb0 @ aSet0 ) )
=> ( ( ( sz00 @ slbdtrb0 )
= slcrc0 )
| ~ ? [A: $i] : ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(54,plain,
~ ( ( ! [A: $i] :
~ ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) )
& ( sz00 @ slbdtrb0 @ aSet0 ) )
=> ( ( ( sz00 @ slbdtrb0 )
= slcrc0 )
| ~ ? [A: $i] : ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(55,plain,
~ ( ( ~ ? [A: $i] : ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) )
& ( sz00 @ slbdtrb0 @ aSet0 ) )
=> ( ( ( sz00 @ slbdtrb0 )
= slcrc0 )
| ~ ? [A: $i] : ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) ) ) ),
inference(miniscope,[status(thm)],[54]) ).
thf(56,plain,
! [A: $i] :
( ( ( sz00 @ slbdtrb0 )
!= slcrc0 )
& ( sz00 @ slbdtrb0 @ ( sk1 @ aElementOf0 ) )
& ~ ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) )
& ( sz00 @ slbdtrb0 @ aSet0 ) ),
inference(cnf,[status(esa)],[55]) ).
thf(59,plain,
sz00 @ slbdtrb0 @ ( sk1 @ aElementOf0 ),
inference(cnfConj,[status(thm)],[56]) ).
thf(58,plain,
! [A: $i] :
~ ( sz00 @ slbdtrb0 @ ( A @ aElementOf0 ) ),
inference(cnfConj,[status(thm)],[56]) ).
thf(332,plain,
$false,
inference(rewrite,[status(thm)],[59,58]) ).
thf(333,plain,
$false,
inference(simp,[status(thm)],[332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % 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
% 0.14/0.39 % Computer : n002.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 03:12:37 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 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
% 0.89/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.44/1.22 % [INFO] Parsing done (236ms).
% 1.44/1.24 % [INFO] Running in sequential loop mode.
% 2.20/1.65 % [INFO] eprover registered as external prover.
% 2.20/1.66 % [INFO] Scanning for conjecture ...
% 2.42/1.72 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.42/1.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.42/1.75 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.42/1.76 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.42/1.78 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.42/1.78 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.42/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.66/1.81 % [INFO] Found a conjecture (or negated_conjecture) and 51 axioms. Running axiom selection ...
% 2.87/1.91 % [INFO] Axiom selection finished. Selected 51 axioms (removed 0 axioms).
% 2.87/1.91 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.87/1.94 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.87/1.95 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.87/1.97 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.87/1.97 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.87/1.98 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.87/1.98 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.87/1.98 % [INFO] Problem is first-order (TPTP FOF).
% 2.87/2.00 % [INFO] Type checking passed.
% 2.87/2.00 % [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 ...
% 6.95/3.32 % [INFO] Killing All external provers ...
% 6.95/3.33 % Time passed: 2790ms (effective reasoning time: 2082ms)
% 6.95/3.33 % Solved by 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)>
% 6.95/3.33 % Axioms used in derivation (0):
% 6.95/3.33 % No. of inferences in proof: 9
% 6.95/3.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2790 ms resp. 2082 ms w/o parsing
% 6.95/3.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.95/3.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------