%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV256^5 : 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 : n013.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 : Wed Sep 30 08:37:04 AM UTC 2026
% Result : Theorem 4.53s 1.74s
% Output : Refutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 1 def)
% Number of atoms : 33 ( 1 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 69 ( 6 ~; 4 |; 9 &; 40 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 14 ^; 8 !; 7 ?; 30 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cOPEN_decl,type,
cOPEN: ( a > $o ) > $o ).
thf(sk1_decl,type,
sk1: ( ( a > $o ) > $o ) > a > $o ).
thf(sk1_def,definition,
( sk1
= ( ^ [A: ( a > $o ) > $o] :
@+[B: a > $o] :
~ ( ( A @ B )
=> ( cOPEN @ B ) ) ) ) ).
thf(1,conjecture,
( ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ( cOPEN @ B ) )
=> ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) )
=> ( cOPEN
@ ^ [A: a] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM625A_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ( cOPEN @ B ) )
=> ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) )
=> ( cOPEN
@ ^ [A: a] : $false ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ( cOPEN @ B ) )
=> ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) )
=> ( cOPEN
@ ^ [A: a] : $false ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: ( a > $o ) > $o] :
( ( ( A @ ( sk1 @ A ) )
| ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) )
& ( ~ ( cOPEN @ ( sk1 @ A ) )
| ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) )
& ~ ( cOPEN
@ ^ [B: a] : $false ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: ( a > $o ) > $o] :
( ( A @ ( sk1 @ A ) )
| ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(94,plain,
( $false
| ( cOPEN
@ ^ [A: a] :
? [B: a > $o] :
( $false
& ( B @ A ) ) ) ),
inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [B: a > $o] : $false ))]]) ).
thf(124,plain,
( cOPEN
@ ^ [A: a] : $false ),
inference(simp,[status(thm)],[94]) ).
thf(7,plain,
~ ( cOPEN
@ ^ [A: a] : $false ),
inference(cnfConj,[status(thm)],[4]) ).
thf(125,plain,
$false,
inference(rewrite,[status(thm)],[124,7]) ).
thf(126,plain,
$false,
inference(simp,[status(thm)],[125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV256^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % 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
% 0.11/0.21 % Computer : n013.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 15:27:51 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 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
% 0.65/0.53 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.91/0.63 % [INFO] Parsing done (98ms).
% 0.91/0.64 % [INFO] Running in sequential loop mode.
% 1.31/0.84 % [INFO] eprover registered as external prover.
% 1.31/0.85 % [INFO] Scanning for conjecture ...
% 1.31/0.89 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.57/0.90 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.57/0.90 % [INFO] Problem is higher-order (TPTP THF).
% 1.57/0.91 % [INFO] Type checking passed.
% 1.57/0.91 % [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 ...
% 4.53/1.73 % [INFO] Killing All external provers ...
% 4.53/1.74 % Time passed: 1424ms (effective reasoning time: 1095ms)
% 4.53/1.74 % 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)>
% 4.53/1.74 % Axioms used in derivation (0):
% 4.53/1.74 % No. of inferences in proof: 10
% 4.53/1.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1424 ms resp. 1095 ms w/o parsing
% 4.53/1.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.53/1.78 % [INFO] Killing All external provers ...
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