%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO007^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n015.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 08:45:00 AM UTC 2026
% Result : Theorem 3.23s 2.09s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 typ; 4 def)
% Number of atoms : 54 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 47 ( 12 ~; 1 |; 2 &; 22 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 2 ^; 11 !; 0 ?; 16 :)
% ( 0 !>; 0 ?*; 0 @-; 3 @+)
% Comments :
%------------------------------------------------------------------------------
thf(leibeq_decl,type,
leibeq: $o > $o > $o ).
thf(sk1_decl,type,
sk1: $o ).
thf(sk2_decl,type,
sk2: $o ).
thf(sk3_decl,type,
sk3: $o > $o ).
thf(leibeq_def,definition,
( leibeq
= ( ^ [A: $o,B: $o] :
! [C: $o > $o] :
( ( C @ A )
=> ( C @ B ) ) ) ) ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $o] :
~ ! [B: $o] :
( ( A = B )
=> ! [C: $o > $o] :
( ( C @ A )
=> ( C @ B ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $o] :
~ ( ( sk1 = A )
=> ! [B: $o > $o] :
( ( B @ sk1 )
=> ( B @ A ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $o > $o] :
~ ( ( A @ sk1 )
=> ( A @ sk2 ) ) ) ) ).
thf(1,conjecture,
! [A: $o,B: $o] :
( ( A = B )
=> ( leibeq @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ! [A: $o,B: $o] :
( ( A = B )
=> ( leibeq @ A @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $o,B: $o] :
( ( A = B )
=> ! [C: $o > $o] :
( ( C @ A )
=> ( C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( sk1 = sk2 )
& ( sk3 @ sk1 )
& ~ ( sk3 @ sk2 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
sk3 @ sk1,
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
~ ( sk3 @ sk2 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(9,plain,
( ~ $true
| ( ( sk3 @ sk2 )
!= ( sk3 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[6,7]) ).
thf(10,plain,
( ( sk3 @ sk2 )
!= ( sk3 @ sk1 ) ),
inference(simp,[status(thm)],[9]) ).
thf(11,plain,
sk2 != sk1,
inference(simp,[status(thm)],[10]) ).
thf(5,plain,
sk1 = sk2,
inference(cnfConj,[status(thm)],[4]) ).
thf(8,plain,
sk2 = sk1,
inference(lifteq,[status(thm)],[5]) ).
thf(15,plain,
sk1 != sk1,
inference(rewrite,[status(thm)],[11,8]) ).
thf(16,plain,
$false,
inference(simp,[status(thm)],[15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO007^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.07 % 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
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:24:18 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 0.86/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.98 % [INFO] Parsing done (181ms).
% 1.19/0.99 % [INFO] Running in sequential loop mode.
% 1.76/1.38 % [INFO] eprover registered as external prover.
% 1.76/1.39 % [INFO] Scanning for conjecture ...
% 1.95/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.10/1.52 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.10/1.52 % [INFO] Problem is higher-order (TPTP THF).
% 2.10/1.52 % [INFO] Type checking passed.
% 2.10/1.53 % [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 ...
% 3.23/2.08 % [INFO] Killing All external provers ...
% 3.23/2.08 % Time passed: 1734ms (effective reasoning time: 1084ms)
% 3.23/2.08 % 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)>
% 3.23/2.09 % Axioms used in derivation (0):
% 3.23/2.09 % No. of inferences in proof: 13
% 3.23/2.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1734 ms resp. 1084 ms w/o parsing
% 3.44/2.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.44/2.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------