%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV019^5 : 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 : n026.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 08:36:43 AM UTC 2026
% Result : Theorem 3.63s 2.16s
% 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 : 25 ( 3 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 83 ( 2 ~; 0 |; 15 &; 54 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 27 !; 6 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cQ_decl,type,
cQ: a > a > $o ).
thf(1,conjecture,
( ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM559_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV019^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % 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
% 0.09/0.21 % Computer : n026.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 15:03:27 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 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
% 0.88/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.99 % [INFO] Parsing done (193ms).
% 1.23/1.00 % [INFO] Running in sequential loop mode.
% 2.02/1.41 % [INFO] eprover registered as external prover.
% 2.02/1.41 % [INFO] Scanning for conjecture ...
% 2.22/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.22/1.55 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.22/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 2.22/1.56 % [INFO] Type checking passed.
% 2.22/1.56 % [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 ...
% 3.63/2.15 % External prover 'e' found a proof!
% 3.63/2.15 % [INFO] Killing All external provers ...
% 3.63/2.15 % Time passed: 1809ms (effective reasoning time: 1147ms)
% 3.63/2.15 % 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)>
% 3.63/2.15 % Axioms used in derivation (0):
% 3.63/2.15 % No. of inferences in proof: 4
% 3.63/2.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1809 ms resp. 1147 ms w/o parsing
% 3.63/2.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.63/2.19 % [INFO] Killing All external provers ...
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