TSTP Solution File: SEV476^1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV476^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n027.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 15:59:07 EDT 2024
% Result : Theorem 3.00s 1.82s
% Output : Refutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 3 ~; 0 |; 2 &; 54 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-4 aty)
% Number of variables : 21 ( 0 ^ 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf('\'const/sets/SUBSET\'_type',type,
'\'const/sets/SUBSET\'':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > $o ) > $o ) ).
thf('\'const/sets/FINITE\'_type',type,
'\'const/sets/FINITE\'':
!>[TA: $tType] : ( ( TA > $o ) > $o ) ).
thf('\'const/sets/DIFF\'_type',type,
'\'const/sets/DIFF\'':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > $o ) > TA > $o ) ).
thf(skt1_type,type,
skt1: $tType ).
thf(sk1_type,type,
sk1: skt1 > $o ).
thf(sk2_type,type,
sk2: skt1 > $o ).
thf(1,conjecture,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( '\'const/sets/FINITE\'' @ TA @ A )
=> ( '\'const/sets/FINITE\'' @ TA @ ( '\'const/sets/DIFF\'' @ TA @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/FINITE_DIFF_') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( '\'const/sets/FINITE\'' @ TA @ A )
=> ( '\'const/sets/FINITE\'' @ TA @ ( '\'const/sets/DIFF\'' @ TA @ A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( '\'const/sets/FINITE\'' @ TA @ A )
=> ( '\'const/sets/FINITE\'' @ TA @ ( '\'const/sets/DIFF\'' @ TA @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( ( '\'const/sets/FINITE\'' @ TA @ B )
& ( '\'const/sets/SUBSET\'' @ TA @ A @ B ) )
=> ( '\'const/sets/FINITE\'' @ TA @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/FINITE_SUBSET_') ).
thf(10,plain,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( ( '\'const/sets/FINITE\'' @ TA @ B )
& ( '\'const/sets/SUBSET\'' @ TA @ A @ B ) )
=> ( '\'const/sets/FINITE\'' @ TA @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,plain,
~ ( '\'const/sets/FINITE\'' @ skt1 @ ( '\'const/sets/DIFF\'' @ skt1 @ sk1 @ sk2 ) ),
inference(cnf,[status(esa)],[5]) ).
thf(7,plain,
'\'const/sets/FINITE\'' @ skt1 @ sk1,
inference(cnf,[status(esa)],[5]) ).
thf(3,axiom,
! [TA: $tType,A: TA > $o,B: TA > $o] : ( '\'const/sets/SUBSET\'' @ TA @ ( '\'const/sets/DIFF\'' @ TA @ A @ B ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/SUBSET_DIFF_') ).
thf(8,plain,
! [TA: $tType,A: TA > $o,B: TA > $o] : ( '\'const/sets/SUBSET\'' @ TA @ ( '\'const/sets/DIFF\'' @ TA @ A @ B ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[5,10,6,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV476^1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.12 % Command : run_Leo-III %s %d THM
% 0.10/0.33 % Computer : n027.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
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Fri Jun 21 18:58:40 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.90/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.03/1.00 % [INFO] Parsing done (120ms).
% 1.22/1.01 % [INFO] Running in sequential loop mode.
% 1.53/1.29 % [INFO] eprover registered as external prover.
% 1.53/1.29 % [INFO] Scanning for conjecture ...
% 1.73/1.34 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.73/1.36 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.73/1.36 % [INFO] Problem is higher-order (TPTP THF).
% 1.73/1.37 % [INFO] Type checking passed.
% 1.73/1.37 % [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 ...
% 3.00/1.82 % External prover 'e' found a proof!
% 3.00/1.82 % [INFO] Killing All external provers ...
% 3.00/1.82 % Time passed: 1323ms (effective reasoning time: 798ms)
% 3.00/1.82 % 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)>
% 3.00/1.82 % Axioms used in derivation (2): thm/sets/FINITE_SUBSET_, thm/sets/SUBSET_DIFF_
% 3.00/1.82 % No. of inferences in proof: 10
% 3.00/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1323 ms resp. 798 ms w/o parsing
% 3.12/1.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.12/1.84 % [INFO] Killing All external provers ...
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