TSTP Solution File: SEV485^1 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV485^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n026.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 16:00:22 EDT 2024
% Result : Theorem 2.95s 1.67s
% Output : Refutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 95 ( 8 ~; 3 |; 5 &; 79 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 23 ( 0 ^ 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf('\'type/nums/num\'_type',type,
'\'type/nums/num\'': $tType ).
thf('\'const/sets/UNIV\'_type',type,
'\'const/sets/UNIV\'':
!>[TA: $tType] : ( TA > $o ) ).
thf('\'const/sets/HAS_SIZE\'_type',type,
'\'const/sets/HAS_SIZE\'':
!>[TA: $tType] : ( ( TA > $o ) > '\'type/nums/num\'' > $o ) ).
thf('\'const/sets/FINITE\'_type',type,
'\'const/sets/FINITE\'':
!>[TA: $tType] : ( ( TA > $o ) > $o ) ).
thf('\'const/sets/CARD\'_type',type,
'\'const/sets/CARD\'':
!>[TA: $tType] : ( ( TA > $o ) > '\'type/nums/num\'' ) ).
thf('\'const/nums/NUMERAL\'_type',type,
'\'const/nums/NUMERAL\'': '\'type/nums/num\'' > '\'type/nums/num\'' ).
thf('\'const/nums/BIT1\'_type',type,
'\'const/nums/BIT1\'': '\'type/nums/num\'' > '\'type/nums/num\'' ).
thf('\'const/nums/BIT0\'_type',type,
'\'const/nums/BIT0\'': '\'type/nums/num\'' > '\'type/nums/num\'' ).
thf('\'const/nums/_0\'_type',type,
'\'const/nums/_0\'': '\'type/nums/num\'' ).
thf(4,axiom,
'\'const/sets/HAS_SIZE\'' @ $o @ ( '\'const/sets/UNIV\'' @ $o ) @ ( '\'const/nums/NUMERAL\'' @ ( '\'const/nums/BIT0\'' @ ( '\'const/nums/BIT1\'' @ '\'const/nums/_0\'' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/HAS_SIZE_BOOL_') ).
thf(9,plain,
'\'const/sets/HAS_SIZE\'' @ $o @ ( '\'const/sets/UNIV\'' @ $o ) @ ( '\'const/nums/NUMERAL\'' @ ( '\'const/nums/BIT0\'' @ ( '\'const/nums/BIT1\'' @ '\'const/nums/_0\'' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [TA: $tType,A: TA > $o,B: '\'type/nums/num\''] :
( ( '\'const/sets/HAS_SIZE\'' @ TA @ A @ B )
= ( ( '\'const/sets/FINITE\'' @ TA @ A )
& ( ( '\'const/sets/CARD\'' @ TA @ A )
= B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/HAS_SIZE_') ).
thf(6,plain,
! [TA: $tType,A: TA > $o,B: '\'type/nums/num\''] :
( ( '\'const/sets/HAS_SIZE\'' @ TA @ A @ B )
= ( ( '\'const/sets/FINITE\'' @ TA @ A )
& ( ( '\'const/sets/CARD\'' @ TA @ A )
= B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,plain,
! [TA: $tType,B: '\'type/nums/num\'',A: TA > $o] :
( ( '\'const/sets/HAS_SIZE\'' @ TA @ A @ B )
= ( ( '\'const/sets/FINITE\'' @ TA @ A )
& ( ( '\'const/sets/CARD\'' @ TA @ A )
= B ) ) ),
inference(cnf,[status(esa)],[6]) ).
thf(8,plain,
! [TA: $tType,B: '\'type/nums/num\'',A: TA > $o] :
( ( ( '\'const/sets/FINITE\'' @ TA @ A )
& ( ( '\'const/sets/CARD\'' @ TA @ A )
= B ) )
= ( '\'const/sets/HAS_SIZE\'' @ TA @ A @ B ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(11,plain,
! [TA: $tType,B: '\'type/nums/num\'',A: TA > $o] :
( ( ( '\'const/sets/FINITE\'' @ TA @ A )
& ( ( '\'const/sets/CARD\'' @ TA @ A )
= B ) )
| ~ ( '\'const/sets/HAS_SIZE\'' @ TA @ A @ B ) ),
inference(bool_ext,[status(thm)],[8]) ).
thf(16,plain,
! [TA: $tType,B: '\'type/nums/num\'',A: TA > $o] :
( ~ ( '\'const/sets/HAS_SIZE\'' @ TA @ A @ B )
| ( '\'const/sets/FINITE\'' @ TA @ A ) ),
inference(cnf,[status(esa)],[11]) ).
thf(1,conjecture,
'\'const/sets/FINITE\'' @ $o @ ( '\'const/sets/UNIV\'' @ $o ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/FINITE_BOOL_') ).
thf(2,negated_conjecture,
~ ( '\'const/sets/FINITE\'' @ $o @ ( '\'const/sets/UNIV\'' @ $o ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( '\'const/sets/FINITE\'' @ $o @ ( '\'const/sets/UNIV\'' @ $o ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,plain,
! [TA: $tType,B: '\'type/nums/num\'',A: TA > $o] :
( ~ ( '\'const/sets/HAS_SIZE\'' @ TA @ A @ B )
| ( ( '\'const/sets/FINITE\'' @ TA @ A )
!= ( '\'const/sets/FINITE\'' @ $o @ ( '\'const/sets/UNIV\'' @ $o ) ) ) ),
inference(paramod_ordered,[status(thm)],[16,5]) ).
thf(19,plain,
! [A: '\'type/nums/num\''] :
~ ( '\'const/sets/HAS_SIZE\'' @ $o @ ( '\'const/sets/UNIV\'' @ $o ) @ A ),
inference(pattern_uni,[status(thm)],[18:[bind(A,$thf( '\'const/sets/UNIV\'' @ $o )),bind(B,$thf( B )),bind_type(TA,$thf( $o ))]]) ).
thf(24,plain,
! [A: '\'type/nums/num\''] :
~ ( '\'const/sets/HAS_SIZE\'' @ $o @ ( '\'const/sets/UNIV\'' @ $o ) @ A ),
inference(simp,[status(thm)],[19]) ).
thf(26,plain,
$false,
inference(rewrite,[status(thm)],[9,24]) ).
thf(27,plain,
$false,
inference(simp,[status(thm)],[26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV485^1 : TPTP v8.2.0. Released v7.0.0.
% 0.03/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 19:23:40 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.00/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.98 % [INFO] Parsing done (113ms).
% 1.24/0.99 % [INFO] Running in sequential loop mode.
% 1.66/1.19 % [INFO] nitpick registered as external prover.
% 1.66/1.20 % [INFO] Scanning for conjecture ...
% 1.83/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.83/1.27 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.83/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.28 % [INFO] Type checking passed.
% 1.83/1.28 % [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 ...
% 2.95/1.66 % [INFO] Killing All external provers ...
% 2.95/1.67 % Time passed: 1136ms (effective reasoning time: 668ms)
% 2.95/1.67 % 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)>
% 2.95/1.67 % Axioms used in derivation (2): thm/sets/HAS_SIZE_BOOL_, thm/sets/HAS_SIZE_
% 2.95/1.67 % No. of inferences in proof: 16
% 2.95/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1136 ms resp. 668 ms w/o parsing
% 2.99/1.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.99/1.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------