%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU502_8 : TPTP v9.3.1. Released v8.0.0.
% 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 : n011.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 08:39:08 AM UTC 2026
% Result : Theorem 3.74s 2.47s
% Output : Refutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 11 unt; 0 typ; 1 def)
% Number of atoms : 32 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 8 ~; 2 |; 1 &; 28 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 15 !; 1 ?; 17 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(in_decl,type,
in: $i > $i > $o ).
thf(emptyset_decl,type,
emptyset: $i ).
thf(emptysetE_decl,type,
emptysetE: $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] : ( emptyset @ ( A @ in ) ) ) ) ).
thf(1,conjecture,
( emptysetE
=> ! [A: $i] :
( ( emptyset @ ( A @ in ) )
=> $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetimpfalse) ).
thf(2,negated_conjecture,
~ ( emptysetE
=> ! [A: $i] :
( ( emptyset @ ( A @ in ) )
=> $false ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( emptysetE
=> ! [A: $i] :
~ ( emptyset @ ( A @ in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
~ ( emptysetE
=> ~ ? [A: $i] : ( emptyset @ ( A @ in ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(6,plain,
( ( emptyset @ ( sk1 @ in ) )
& emptysetE ),
inference(cnf,[status(esa)],[5]) ).
thf(8,plain,
emptyset @ ( sk1 @ in ),
inference(cnfConj,[status(thm)],[6]) ).
thf(3,axiom,
( emptysetE
= ( ! [A: $i] :
( ( emptyset @ ( A @ in ) )
=> ! [B: $o] : B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE) ).
thf(9,plain,
( emptysetE
= ( ! [A: $i] :
( ( emptyset @ ( A @ in ) )
=> ! [B: $o] : B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,plain,
( emptysetE
= ( ! [A: $i] :
( ( emptyset @ ( A @ in ) )
=> ! [B: $o] : B ) ) ),
inference(lifteq,[status(thm)],[9]) ).
thf(7,plain,
emptysetE,
inference(cnfConj,[status(thm)],[6]) ).
thf(11,plain,
! [A: $i] :
( ( emptyset @ ( A @ in ) )
=> ! [B: $o] : B ),
inference(rewrite,[status(thm)],[10,7]) ).
thf(12,plain,
! [B: $o,A: $i] :
( B
| ~ ( emptyset @ ( A @ in ) ) ),
inference(cnf,[status(esa)],[11]) ).
thf(24,plain,
! [A: $i] :
( $false
| ~ ( emptyset @ ( A @ in ) ) ),
inference(prim_subst,[status(thm)],[12:[bind(A,$thf( A )),bind(B,$thf( $false ))]]) ).
thf(34,plain,
! [A: $i] :
~ ( emptyset @ ( A @ in ) ),
inference(simp,[status(thm)],[24]) ).
thf(37,plain,
$false,
inference(rewrite,[status(thm)],[8,34]) ).
thf(38,plain,
$false,
inference(simp,[status(thm)],[37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU502_8 : TPTP v9.3.1. Released v8.0.0.
% 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
% 0.15/0.40 % Computer : n011.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 10:06:44 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.41 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
% 0.89/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.19 % [INFO] Parsing done (182ms).
% 1.41/1.20 % [INFO] Running in sequential loop mode.
% 2.02/1.61 % [INFO] eprover registered as external prover.
% 2.02/1.62 % [INFO] Scanning for conjecture ...
% 2.02/1.69 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.19/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.19/1.76 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.19/1.76 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.19/1.76 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.19/1.77 % [INFO] Type checking passed.
% 2.19/1.77 % [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 ...
% 3.74/2.46 % [INFO] Killing All external provers ...
% 3.74/2.46 % Time passed: 1910ms (effective reasoning time: 1254ms)
% 3.74/2.46 % 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)>
% 3.74/2.47 % Axioms used in derivation (1): emptysetE
% 3.74/2.47 % No. of inferences in proof: 16
% 3.74/2.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1910 ms resp. 1254 ms w/o parsing
% 4.07/2.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.07/2.51 % [INFO] Killing All external provers ...
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