TSTP Solution File: SEV457^1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV457^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 15:59:04 EDT 2024
% Result : Theorem 2.62s 1.67s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 11 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 79 ( 8 ~; 2 |; 0 &; 69 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 23 ( 8 ^ 15 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf('\'const/sets/INSERT\'_type',type,
'\'const/sets/INSERT\'':
!>[TA: $tType] : ( TA > ( TA > $o ) > TA > $o ) ).
thf(skt1_type,type,
skt1: $tType ).
thf(sk1_type,type,
sk1: skt1 ).
thf(sk2_type,type,
sk2: skt1 > $o ).
thf(1,conjecture,
! [TA: $tType,A: TA,B: TA > $o] :
( ( '\'const/sets/INSERT\'' @ TA @ A @ ( '\'const/sets/INSERT\'' @ TA @ A @ B ) )
= ( '\'const/sets/INSERT\'' @ TA @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/INSERT_AC_1') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,A: TA,B: TA > $o] :
( ( '\'const/sets/INSERT\'' @ TA @ A @ ( '\'const/sets/INSERT\'' @ TA @ A @ B ) )
= ( '\'const/sets/INSERT\'' @ TA @ A @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [TA: $tType,A: TA,B: TA > $o] :
( ( '\'const/sets/INSERT\'' @ TA @ A @ ( '\'const/sets/INSERT\'' @ TA @ A @ B ) )
= ( '\'const/sets/INSERT\'' @ TA @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [TA: $tType,A: TA,B: TA > $o] :
( ( '\'const/sets/INSERT\'' @ TA @ A @ ( '\'const/sets/INSERT\'' @ TA @ A @ B ) )
= ( '\'const/sets/INSERT\'' @ TA @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/INSERT_INSERT_') ).
thf(7,plain,
! [TA: $tType,A: TA,B: TA > $o] :
( ( '\'const/sets/INSERT\'' @ TA @ A @ ( '\'const/sets/INSERT\'' @ TA @ A @ B ) )
= ( '\'const/sets/INSERT\'' @ TA @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,plain,
( ( '\'const/sets/INSERT\'' @ skt1 @ sk1 @ ( '\'const/sets/INSERT\'' @ skt1 @ sk1 @ sk2 ) )
!= ( '\'const/sets/INSERT\'' @ skt1 @ sk1 @ sk2 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
( ( '\'const/sets/INSERT\'' @ skt1 @ sk1 @ ( '\'const/sets/INSERT\'' @ skt1 @ sk1 @ sk2 ) )
!= ( '\'const/sets/INSERT\'' @ skt1 @ sk1 @ sk2 ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(10,plain,
( ( ( ^ [A: skt1] : sk1 )
!= ( ^ [A: skt1] : sk1 ) )
| ( ( ^ [A: skt1] : ( '\'const/sets/INSERT\'' @ skt1 @ sk1 @ sk2 ) )
!= ( ^ [A: skt1] : sk2 ) )
| ( ( ^ [A: skt1] : A )
!= ( ^ [A: skt1] : A ) ) ),
inference(simp,[status(thm)],[6]) ).
thf(12,plain,
( ( ^ [A: skt1] : ( '\'const/sets/INSERT\'' @ skt1 @ sk1 @ sk2 ) )
!= ( ^ [A: skt1] : sk2 ) ),
inference(simp,[status(thm)],[10]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[4,7,6,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SEV457^1 : TPTP v8.2.0. Released v7.0.0.
% 0.09/0.13 % Command : run_Leo-III %s %d THM
% 0.10/0.33 % Computer : n025.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Fri Jun 21 18:48:40 EDT 2024
% 0.10/0.34 % CPUTime :
% 0.81/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.09/0.93 % [INFO] Parsing done (105ms).
% 1.09/0.94 % [INFO] Running in sequential loop mode.
% 1.50/1.16 % [INFO] eprover registered as external prover.
% 1.50/1.17 % [INFO] Scanning for conjecture ...
% 1.56/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.67/1.24 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.67/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.73/1.25 % [INFO] Type checking passed.
% 1.73/1.25 % [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 ...
% 2.62/1.67 % External prover 'e' found a proof!
% 2.62/1.67 % [INFO] Killing All external provers ...
% 2.62/1.67 % Time passed: 1156ms (effective reasoning time: 726ms)
% 2.62/1.67 % 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)>
% 2.62/1.67 % Axioms used in derivation (1): thm/sets/INSERT_INSERT_
% 2.62/1.67 % No. of inferences in proof: 10
% 2.62/1.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1156 ms resp. 726 ms w/o parsing
% 2.84/1.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.84/1.72 % [INFO] Killing All external provers ...
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