TSTP Solution File: SEV459^1 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV459^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n032.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 16:00:19 EDT 2024
% Result : Theorem 5.37s 2.21s
% Output : Refutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 178 ( 14 ~; 2 |; 6 &; 150 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 50 ( 0 ^ 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf('\'const/sets/SUBSET\'_type',type,
'\'const/sets/SUBSET\'':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > $o ) > $o ) ).
thf('\'const/sets/IN\'_type',type,
'\'const/sets/IN\'':
!>[TA: $tType] : ( TA > ( TA > $o ) > $o ) ).
thf('\'const/sets/DELETE\'_type',type,
'\'const/sets/DELETE\'':
!>[TA: $tType] : ( ( TA > $o ) > TA > TA > $o ) ).
thf(skt1_type,type,
skt1: $tType ).
thf(sk1_type,type,
sk1: skt1 ).
thf(sk2_type,type,
sk2: skt1 > $o ).
thf(sk4_type,type,
sk4: skt1 ).
thf(5,axiom,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
= ( ! [C: TA] :
( ( '\'const/sets/IN\'' @ TA @ C @ A )
=> ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/SUBSET_') ).
thf(14,plain,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
= ( ! [C: TA] :
( ( '\'const/sets/IN\'' @ TA @ C @ A )
=> ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,plain,
! [TA: $tType,B: TA > $o,A: TA > $o] :
( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
= ( ! [C: TA] :
( ( '\'const/sets/IN\'' @ TA @ C @ A )
=> ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
inference(cnf,[status(esa)],[14]) ).
thf(16,plain,
! [TA: $tType,B: TA > $o,A: TA > $o] :
( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
= ( ! [C: TA] :
( ( '\'const/sets/IN\'' @ TA @ C @ A )
=> ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
inference(lifteq,[status(thm)],[15]) ).
thf(1,conjecture,
! [TA: $tType,A: TA,B: TA > $o] : ( '\'const/sets/SUBSET\'' @ TA @ ( '\'const/sets/DELETE\'' @ TA @ B @ A ) @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/DELETE_SUBSET_') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,A: TA,B: TA > $o] : ( '\'const/sets/SUBSET\'' @ TA @ ( '\'const/sets/DELETE\'' @ TA @ B @ A ) @ B ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [TA: $tType,A: TA,B: TA > $o] : ( '\'const/sets/SUBSET\'' @ TA @ ( '\'const/sets/DELETE\'' @ TA @ B @ A ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
~ ( '\'const/sets/SUBSET\'' @ skt1 @ ( '\'const/sets/DELETE\'' @ skt1 @ sk2 @ sk1 ) @ sk2 ),
inference(cnf,[status(esa)],[6]) ).
thf(22,plain,
! [TA: $tType,B: TA > $o,A: TA > $o] :
( ~ ! [C: TA] :
( ( '\'const/sets/IN\'' @ TA @ C @ A )
=> ( '\'const/sets/IN\'' @ TA @ C @ B ) )
| ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
!= ( '\'const/sets/SUBSET\'' @ skt1 @ ( '\'const/sets/DELETE\'' @ skt1 @ sk2 @ sk1 ) @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[16,7]) ).
thf(23,plain,
~ ! [A: skt1] :
( ( '\'const/sets/IN\'' @ skt1 @ A @ ( '\'const/sets/DELETE\'' @ skt1 @ sk2 @ sk1 ) )
=> ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) ),
inference(pattern_uni,[status(thm)],[22:[bind(A,$thf( '\'const/sets/DELETE\'' @ skt1 @ sk2 @ sk1 )),bind(B,$thf( sk2 )),bind_type(TA,$thf( skt1 ))]]) ).
thf(40,plain,
'\'const/sets/IN\'' @ skt1 @ sk4 @ ( '\'const/sets/DELETE\'' @ skt1 @ sk2 @ sk1 ),
inference(cnf,[status(esa)],[23]) ).
thf(4,axiom,
! [TA: $tType,A: TA > $o,B: TA,C: TA] :
( ( '\'const/sets/IN\'' @ TA @ B @ ( '\'const/sets/DELETE\'' @ TA @ A @ C ) )
= ( ( '\'const/sets/IN\'' @ TA @ B @ A )
& ( B != C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/IN_DELETE_') ).
thf(11,plain,
! [TA: $tType,A: TA > $o,B: TA,C: TA] :
( ( '\'const/sets/IN\'' @ TA @ B @ ( '\'const/sets/DELETE\'' @ TA @ A @ C ) )
= ( ( '\'const/sets/IN\'' @ TA @ B @ A )
& ( B != C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,plain,
! [TA: $tType,C: TA,B: TA,A: TA > $o] :
( ( '\'const/sets/IN\'' @ TA @ B @ ( '\'const/sets/DELETE\'' @ TA @ A @ C ) )
= ( ( '\'const/sets/IN\'' @ TA @ B @ A )
& ( B != C ) ) ),
inference(cnf,[status(esa)],[11]) ).
thf(13,plain,
! [TA: $tType,C: TA,B: TA,A: TA > $o] :
( ( '\'const/sets/IN\'' @ TA @ B @ ( '\'const/sets/DELETE\'' @ TA @ A @ C ) )
= ( ( '\'const/sets/IN\'' @ TA @ B @ A )
& ( B != C ) ) ),
inference(lifteq,[status(thm)],[12]) ).
thf(99,plain,
! [TA: $tType,C: TA,B: TA,A: TA > $o] :
( ( ( '\'const/sets/IN\'' @ TA @ B @ A )
& ( B != C ) )
| ( ( '\'const/sets/IN\'' @ skt1 @ sk4 @ ( '\'const/sets/DELETE\'' @ skt1 @ sk2 @ sk1 ) )
!= ( '\'const/sets/IN\'' @ TA @ B @ ( '\'const/sets/DELETE\'' @ TA @ A @ C ) ) ) ),
inference(paramod_ordered,[status(thm)],[40,13]) ).
thf(100,plain,
( ( '\'const/sets/IN\'' @ skt1 @ sk4 @ sk2 )
& ( sk4 != sk1 ) ),
inference(pattern_uni,[status(thm)],[99:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 )),bind(C,$thf( sk1 )),bind_type(TA,$thf( skt1 ))]]) ).
thf(118,plain,
'\'const/sets/IN\'' @ skt1 @ sk4 @ sk2,
inference(cnf,[status(esa)],[100]) ).
thf(39,plain,
~ ( '\'const/sets/IN\'' @ skt1 @ sk4 @ sk2 ),
inference(cnf,[status(esa)],[23]) ).
thf(137,plain,
$false,
inference(rewrite,[status(thm)],[118,39]) ).
thf(138,plain,
$false,
inference(simp,[status(thm)],[137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV459^1 : TPTP v8.2.0. Released v7.0.0.
% 0.00/0.10 % Command : run_Leo-III %s %d SAT
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Fri Jun 21 18:55:40 EDT 2024
% 0.10/0.28 % CPUTime :
% 0.81/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.06/0.91 % [INFO] Parsing done (123ms).
% 1.06/0.92 % [INFO] Running in sequential loop mode.
% 1.38/1.14 % [INFO] nitpick registered as external prover.
% 1.38/1.14 % [INFO] Scanning for conjecture ...
% 1.59/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 1.64/1.22 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.70/1.23 % [INFO] Problem is higher-order (TPTP THF).
% 1.70/1.23 % [INFO] Type checking passed.
% 1.70/1.24 % [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 ...
% 5.37/2.20 % [INFO] Killing All external provers ...
% 5.37/2.21 % Time passed: 1764ms (effective reasoning time: 1283ms)
% 5.37/2.21 % 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)>
% 5.37/2.21 % Axioms used in derivation (2): thm/sets/SUBSET_, thm/sets/IN_DELETE_
% 5.37/2.21 % No. of inferences in proof: 21
% 5.37/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1764 ms resp. 1283 ms w/o parsing
% 5.37/2.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.37/2.25 % [INFO] Killing All external provers ...
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