%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL733^5 : 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 : 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 : Wed Sep 30 08:14:13 AM UTC 2026
% Result : Theorem 5.48s 3.29s
% Output : Refutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 1 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 41 ( 2 ~; 0 |; 0 &; 24 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 29 ( 0 ^; 11 !; 18 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(1,conjecture,
( ! [A: ( b > $o ) > b > $o] :
( ! [B: b > $o] :
? [C: b] :
( ? [D: b] : ( B @ D )
=> ( B @ C ) )
=> ? [B: ( b > $o ) > b] :
! [C: b > $o] :
( ? [D: b] : ( C @ D )
=> ( C @ ( B @ C ) ) ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: b] : ( B @ C )
=> ( B @ ( A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5310_SUB4) ).
thf(2,negated_conjecture,
~ ( ! [A: ( b > $o ) > b > $o] :
( ! [B: b > $o] :
? [C: b] :
( ? [D: b] : ( B @ D )
=> ( B @ C ) )
=> ? [B: ( b > $o ) > b] :
! [C: b > $o] :
( ? [D: b] : ( C @ D )
=> ( C @ ( B @ C ) ) ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: b] : ( B @ C )
=> ( B @ ( A @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: b > $o] :
? [B: b] :
( ? [C: b] : ( A @ C )
=> ( A @ B ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: b] : ( B @ C )
=> ( B @ ( A @ B ) ) ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: b] : ( B @ C )
=> ( B @ ( A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(52,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL733^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.28/0.31 % Computer : n011.cluster.edu
% 0.28/0.31 % Model : x86_64 x86_64
% 0.28/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.31 % Memory : 8046.5625MB
% 0.28/0.31 % OS : Linux 6.8.0-71-generic
% 0.28/0.31 % CPULimit : 300
% 0.28/0.31 % WCLimit : 300
% 0.28/0.31 % DateTime : Tue Sep 29 10:04:31 UTC 2026
% 0.28/0.31 % CPUTime :
% 0.28/0.31 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
% 1.52/1.16 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.96/1.43 % [INFO] Parsing done (265ms).
% 1.96/1.45 % [INFO] Running in sequential loop mode.
% 2.98/2.06 % [INFO] eprover registered as external prover.
% 2.98/2.08 % [INFO] Scanning for conjecture ...
% 3.25/2.20 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.25/2.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.25/2.25 % [INFO] Problem is higher-order (TPTP THF).
% 3.25/2.26 % [INFO] Type checking passed.
% 3.25/2.27 % [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 ...
% 5.48/3.28 % External prover 'e' found a proof!
% 5.48/3.28 % [INFO] Killing All external provers ...
% 5.48/3.29 % Time passed: 2767ms (effective reasoning time: 1824ms)
% 5.48/3.29 % 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)>
% 5.48/3.29 % Axioms used in derivation (0):
% 5.48/3.29 % No. of inferences in proof: 4
% 5.48/3.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2767 ms resp. 1824 ms w/o parsing
% 5.76/3.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.76/3.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------