%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV603^1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n010.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 08:37:25 AM UTC 2026
% Result : Theorem 4.05s 2.20s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 11 unt; 0 typ; 1 def)
% Number of atoms : 50 ( 17 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 75 ( 5 ~; 2 |; 0 &; 68 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 27 ( 0 ^; 26 !; 0 ?; 27 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(skt1_type,type,
skt1: $tType ).
thf(in_decl,type,
in:
!>[TA: $tType] : ( TA > ( TA > $o ) > $o ) ).
thf(univ_decl,type,
univ:
!>[TA: $tType] : ( TA > $o ) ).
thf(insert_decl,type,
insert:
!>[TA: $tType] : ( TA > ( TA > $o ) > TA > $o ) ).
thf(sk1_decl,type,
sk1: skt1 ).
thf(sk1_def,definition,
( sk1
= ( @+[A: skt1] :
( ( insert @ skt1 @ A @ ( univ @ skt1 ) )
!= ( univ @ skt1 ) ) ) ) ).
thf(5,axiom,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( A = B )
= ( ! [C: TA] :
( ( in @ TA @ C @ A )
= ( in @ TA @ C @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred_set/EXTENSION_') ).
thf(14,plain,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( A = B )
= ( ! [C: TA] :
( ( in @ TA @ C @ A )
= ( in @ TA @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
! [TA: $tType,A: TA] :
( ( insert @ TA @ A @ ( univ @ TA ) )
= ( univ @ TA ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred_set/INSERT_UNIV_') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,A: TA] :
( ( insert @ TA @ A @ ( univ @ TA ) )
= ( univ @ TA ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [TA: $tType,A: TA] :
( ( insert @ TA @ A @ ( univ @ TA ) )
= ( univ @ TA ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [TA: $tType,A: TA,B: TA,C: TA > $o] :
( ( in @ TA @ A @ ( insert @ TA @ B @ C ) )
= ( ( A = B )
| ( in @ TA @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred_set/IN_INSERT_') ).
thf(9,plain,
! [TA: $tType,A: TA,B: TA,C: TA > $o] :
( ( in @ TA @ A @ ( insert @ TA @ B @ C ) )
= ( ( A = B )
| ( in @ TA @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [TA: $tType,A: TA] : ( in @ TA @ A @ ( univ @ TA ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred_set/IN_UNIV_') ).
thf(12,plain,
! [TA: $tType,A: TA] : ( in @ TA @ A @ ( univ @ TA ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,plain,
( ( insert @ skt1 @ sk1 @ ( univ @ skt1 ) )
!= ( univ @ skt1 ) ),
inference(cnf,[status(esa)],[6]) ).
thf(8,plain,
( ( insert @ skt1 @ sk1 @ ( univ @ skt1 ) )
!= ( univ @ skt1 ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(29,plain,
$false,
inference(e,[status(thm)],[14,6,9,12,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV603^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % 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
% 0.12/0.21 % Computer : n010.cluster.edu
% 0.12/0.21 % Model : x86_64 x86_64
% 0.12/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.21 % Memory : 8046.5625MB
% 0.12/0.21 % OS : Linux 6.8.0-71-generic
% 0.12/0.21 % CPULimit : 300
% 0.12/0.21 % WCLimit : 300
% 0.12/0.21 % DateTime : Tue Sep 29 16:00:03 UTC 2026
% 0.12/0.22 % CPUTime :
% 0.12/0.22 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
% 0.95/0.71 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/0.89 % [INFO] Parsing done (176ms).
% 1.32/0.90 % [INFO] Running in sequential loop mode.
% 1.95/1.31 % [INFO] eprover registered as external prover.
% 1.95/1.32 % [INFO] Scanning for conjecture ...
% 2.12/1.41 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.12/1.45 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.12/1.46 % [INFO] Problem is higher-order (TPTP THF).
% 2.12/1.47 % [INFO] Type checking passed.
% 2.12/1.47 % [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 ...
% 4.05/2.20 % External prover 'e' found a proof!
% 4.05/2.20 % [INFO] Killing All external provers ...
% 4.05/2.20 % Time passed: 1885ms (effective reasoning time: 1294ms)
% 4.05/2.20 % 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)>
% 4.05/2.20 % Axioms used in derivation (3): pred_set/EXTENSION_, pred_set/IN_INSERT_, pred_set/IN_UNIV_
% 4.05/2.20 % No. of inferences in proof: 12
% 4.05/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1885 ms resp. 1294 ms w/o parsing
% 4.05/2.26 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.05/2.26 % [INFO] Killing All external provers ...
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