%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV285^5 : 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 : 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 08:37:07 AM UTC 2026
% Result : Theorem 5.16s 3.06s
% Output : Refutation 5.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 2 def)
% Number of atoms : 20 ( 19 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 8 ~; 0 |; 1 &; 16 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 15 !; 0 ?; 17 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(sk1_decl,type,
sk1: a > b ).
thf(sk2_decl,type,
sk2: a > b ).
thf(sk1_def,definition,
( sk1
= ( @+[A: a > b] :
~ ! [B: a > b] :
( ! [C: a] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: a > b] :
~ ( ! [B: a] :
( ( sk1 @ B )
= ( A @ B ) )
=> ( sk1 = A ) ) ) ) ).
thf(1,conjecture,
! [A: a > b,B: a > b] :
( ! [C: a] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEE_eq_) ).
thf(2,negated_conjecture,
~ ! [A: a > b,B: a > b] :
( ! [C: a] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > b,B: a > b] :
( ! [C: a] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: a] :
( ( ( sk1 @ A )
= ( sk2 @ A ) )
& ( sk1 != sk2 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
sk1 != sk2,
inference(cnfConj,[status(thm)],[4]) ).
thf(8,plain,
sk2 != sk1,
inference(lifteq,[status(thm)],[6]) ).
thf(5,plain,
! [A: a] :
( ( sk1 @ A )
= ( sk2 @ A ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
! [A: a] :
( ( sk2 @ A )
= ( sk1 @ A ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(10,plain,
sk1 != sk1,
inference(rewrite,[status(thm)],[8,7]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV285^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % 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
% 0.27/0.31 % Computer : n018.cluster.edu
% 0.27/0.31 % Model : x86_64 x86_64
% 0.27/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.31 % Memory : 8046.5625MB
% 0.27/0.31 % OS : Linux 6.8.0-71-generic
% 0.27/0.31 % CPULimit : 300
% 0.27/0.31 % WCLimit : 300
% 0.27/0.31 % DateTime : Tue Sep 29 15:33:26 UTC 2026
% 0.27/0.31 % CPUTime :
% 0.27/0.31 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
% 1.34/1.15 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.98/1.41 % [INFO] Parsing done (257ms).
% 1.98/1.43 % [INFO] Running in sequential loop mode.
% 2.70/2.04 % [INFO] eprover registered as external prover.
% 2.98/2.05 % [INFO] Scanning for conjecture ...
% 3.19/2.17 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.27/2.21 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.27/2.22 % [INFO] Problem is higher-order (TPTP THF).
% 3.27/2.22 % [INFO] Type checking passed.
% 3.27/2.23 % [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 ...
% 4.75/3.05 % [INFO] Killing All external provers ...
% 5.16/3.06 % Time passed: 2536ms (effective reasoning time: 1609ms)
% 5.16/3.06 % 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)>
% 5.16/3.06 % Axioms used in derivation (0):
% 5.16/3.06 % No. of inferences in proof: 10
% 5.16/3.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2536 ms resp. 1609 ms w/o parsing
% 5.16/3.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.16/3.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------