%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV120^5 : 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 : n018.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 08:36:52 AM UTC 2026
% Result : Theorem 3.31s 1.76s
% Output : Refutation 3.63s
% 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 : 125 ( 2 ~; 0 |; 21 &; 81 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 14 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 : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
! [A: ( a > a > $o ) > $o,B: a,C: a,D: a] :
( ( ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ B @ C ) )
& ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ C @ D ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM70_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( a > a > $o ) > $o,B: a,C: a,D: a] :
( ( ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ B @ C ) )
& ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ C @ D ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ B @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( a > a > $o ) > $o,B: a,C: a,D: a] :
( ( ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ B @ C ) )
& ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ C @ D ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) )
& ( A @ E ) )
=> ( E @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV120^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % 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 : n018.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 15:14:26 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
% 0.86/0.68 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.97/0.78 % [INFO] Parsing done (95ms).
% 0.97/0.79 % [INFO] Running in sequential loop mode.
% 1.43/0.98 % [INFO] eprover registered as external prover.
% 1.43/0.98 % [INFO] Scanning for conjecture ...
% 1.74/1.06 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.74/1.10 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.74/1.10 % [INFO] Problem is higher-order (TPTP THF).
% 1.74/1.11 % [INFO] Type checking passed.
% 1.74/1.11 % [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 ...
% 3.31/1.76 % External prover 'e' found a proof!
% 3.31/1.76 % [INFO] Killing All external provers ...
% 3.31/1.76 % Time passed: 1403ms (effective reasoning time: 971ms)
% 3.31/1.76 % 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)>
% 3.31/1.76 % Axioms used in derivation (0):
% 3.31/1.76 % No. of inferences in proof: 4
% 3.31/1.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1403 ms resp. 971 ms w/o parsing
% 3.63/1.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.63/1.80 % [INFO] Killing All external provers ...
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