%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU568^2 : TPTP v9.3.1. Released v3.7.0.
% 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 : n017.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 08:28:34 AM UTC 2026
% Result : Theorem 3.30s 2.07s
% Output : Refutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 5 def)
% Number of atoms : 54 ( 17 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 120 ( 31 ~; 3 |; 4 &; 58 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 27 !; 0 ?; 30 :)
% ( 0 !>; 0 ?*; 0 @-; 3 @+)
% Comments :
%------------------------------------------------------------------------------
thf(in_decl,type,
in: $i > $i > $o ).
thf(subset_decl,type,
subset: $i > $i > $o ).
thf(notsubsetI_decl,type,
notsubsetI: $o ).
thf(notequalI1_decl,type,
notequalI1: $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(notsubsetI_def,definition,
( notsubsetI
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ~ ( subset @ A @ B ) ) ) ) ) ).
thf(notequalI1_def,definition,
( notequalI1
= ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
=> ( A != B ) ) ) ) ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( A != B ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i] :
( ( in @ B @ sk1 )
=> ( ~ ( in @ B @ A )
=> ( sk1 != A ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ( ( in @ A @ sk1 )
=> ( ~ ( in @ A @ sk2 )
=> ( sk1 != sk2 ) ) ) ) ) ).
thf(1,conjecture,
( notsubsetI
=> ( notequalI1
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( A != B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notequalI2) ).
thf(2,negated_conjecture,
~ ( notsubsetI
=> ( notequalI1
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( A != B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ~ ( subset @ A @ B ) ) )
=> ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
=> ( A != B ) )
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( A != B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ~ ( in @ C @ A )
| ( in @ C @ B )
| ~ ( subset @ A @ B ) )
& ( ( subset @ D @ E )
| ( D != E ) )
& ( in @ sk3 @ sk1 )
& ~ ( in @ sk3 @ sk2 )
& ( sk1 = sk2 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
in @ sk3 @ sk1,
inference(cnfConj,[status(thm)],[4]) ).
thf(8,plain,
~ ( in @ sk3 @ sk2 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(6,plain,
sk1 = sk2,
inference(cnfConj,[status(thm)],[4]) ).
thf(10,plain,
sk2 = sk1,
inference(lifteq,[status(thm)],[6]) ).
thf(13,plain,
~ ( in @ sk3 @ sk1 ),
inference(rewrite,[status(thm)],[8,10]) ).
thf(14,plain,
$false,
inference(rewrite,[status(thm)],[5,13]) ).
thf(15,plain,
$false,
inference(simp,[status(thm)],[14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU568^2 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.10/0.20 % Computer : n017.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 13:46:22 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 0.88/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.97 % [INFO] Parsing done (184ms).
% 1.22/0.99 % [INFO] Running in sequential loop mode.
% 1.80/1.39 % [INFO] eprover registered as external prover.
% 1.80/1.39 % [INFO] Scanning for conjecture ...
% 2.20/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.20/1.54 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.20/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.20/1.54 % [INFO] Type checking passed.
% 2.20/1.55 % [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 ...
% 3.30/2.07 % [INFO] Killing All external provers ...
% 3.30/2.07 % Time passed: 1726ms (effective reasoning time: 1075ms)
% 3.30/2.07 % 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)>
% 3.30/2.07 % Axioms used in derivation (0):
% 3.30/2.07 % No. of inferences in proof: 11
% 3.30/2.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1726 ms resp. 1075 ms w/o parsing
% 3.30/2.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.30/2.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------