%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV046^5 : 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 : n008.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 08:36:45 AM UTC 2026
% Result : Theorem 6.59s 3.67s
% Output : Refutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 4 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 266 ( 2 ~; 0 |; 24 &; 198 @)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 14 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 90 ( 0 ^; 90 !; 0 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(1,conjecture,
! [A: a > a > $o,B: a > b > b > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ! [C: a] :
( ( A @ C @ C )
=> ( ! [D: b,E: b] :
( ( B @ C @ D @ E )
=> ( B @ C @ E @ D ) )
& ! [D: b,E: b,F: b] :
( ( ( B @ C @ D @ E )
& ( B @ C @ E @ F ) )
=> ( B @ C @ D @ F ) ) ) )
& ! [C: a,D: a] :
( ( A @ C @ D )
=> ( ( B @ C )
= ( B @ D ) ) ) )
=> ( ! [C: a > b,D: a > b] :
( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( D @ F ) ) )
=> ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( D @ E ) @ ( C @ F ) ) ) )
& ! [C: a > b,D: a > b,E: a > b] :
( ( ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( C @ F ) @ ( D @ G ) ) )
& ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( D @ F ) @ ( E @ G ) ) ) )
=> ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( C @ F ) @ ( E @ G ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM507_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o,B: a > b > b > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ! [C: a] :
( ( A @ C @ C )
=> ( ! [D: b,E: b] :
( ( B @ C @ D @ E )
=> ( B @ C @ E @ D ) )
& ! [D: b,E: b,F: b] :
( ( ( B @ C @ D @ E )
& ( B @ C @ E @ F ) )
=> ( B @ C @ D @ F ) ) ) )
& ! [C: a,D: a] :
( ( A @ C @ D )
=> ( ( B @ C )
= ( B @ D ) ) ) )
=> ( ! [C: a > b,D: a > b] :
( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( D @ F ) ) )
=> ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( D @ E ) @ ( C @ F ) ) ) )
& ! [C: a > b,D: a > b,E: a > b] :
( ( ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( C @ F ) @ ( D @ G ) ) )
& ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( D @ F ) @ ( E @ G ) ) ) )
=> ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( C @ F ) @ ( E @ G ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o,B: a > b > b > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ! [C: a] :
( ( A @ C @ C )
=> ( ! [D: b,E: b] :
( ( B @ C @ D @ E )
=> ( B @ C @ E @ D ) )
& ! [D: b,E: b,F: b] :
( ( ( B @ C @ D @ E )
& ( B @ C @ E @ F ) )
=> ( B @ C @ D @ F ) ) ) )
& ! [C: a,D: a] :
( ( A @ C @ D )
=> ( ( B @ C )
= ( B @ D ) ) ) )
=> ( ! [C: a > b,D: a > b] :
( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( D @ F ) ) )
=> ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( D @ E ) @ ( C @ F ) ) ) )
& ! [C: a > b,D: a > b,E: a > b] :
( ( ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( C @ F ) @ ( D @ G ) ) )
& ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( D @ F ) @ ( E @ G ) ) ) )
=> ! [F: a,G: a] :
( ( A @ F @ G )
=> ( B @ F @ ( C @ F ) @ ( E @ G ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(94,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV046^5 : 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
% 0.28/0.32 % Computer : n008.cluster.edu
% 0.28/0.32 % Model : x86_64 x86_64
% 0.28/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.32 % Memory : 8046.5625MB
% 0.28/0.32 % OS : Linux 6.8.0-71-generic
% 0.28/0.32 % CPULimit : 300
% 0.28/0.32 % WCLimit : 300
% 0.28/0.32 % DateTime : Tue Sep 29 15:05:54 UTC 2026
% 0.28/0.33 % CPUTime :
% 0.28/0.33 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
% 1.36/1.15 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.98/1.44 % [INFO] Parsing done (285ms).
% 1.98/1.46 % [INFO] Running in sequential loop mode.
% 3.20/2.07 % [INFO] eprover registered as external prover.
% 3.20/2.08 % [INFO] Scanning for conjecture ...
% 3.49/2.25 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.63/2.32 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.63/2.32 % [INFO] Problem is higher-order (TPTP THF).
% 3.63/2.33 % [INFO] Type checking passed.
% 3.63/2.34 % [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 ...
% 6.59/3.67 % External prover 'e' found a proof!
% 6.59/3.67 % [INFO] Killing All external provers ...
% 6.59/3.67 % Time passed: 3137ms (effective reasoning time: 2199ms)
% 6.59/3.67 % 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)>
% 6.59/3.67 % Axioms used in derivation (0):
% 6.59/3.67 % No. of inferences in proof: 4
% 6.59/3.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3137 ms resp. 2199 ms w/o parsing
% 7.32/3.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.32/3.73 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------