TSTP Solution File: SET014^5 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET014^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% 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 : Tue May 21 03:04:50 EDT 2024
% Result : Theorem 2.64s 1.90s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 24 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 77 ( 12 ~; 10 |; 3 &; 40 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 0 ^ 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk2_type,type,
sk2: a > $o ).
thf(sk3_type,type,
sk3: a > $o ).
thf(sk4_type,type,
sk4: a ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( A @ D )
=> ( C @ D ) )
& ! [D: a] :
( ( B @ D )
=> ( C @ D ) ) )
=> ! [D: a] :
( ( ( A @ D )
| ( B @ D ) )
=> ( C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_32_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( A @ D )
=> ( C @ D ) )
& ! [D: a] :
( ( B @ D )
=> ( C @ D ) ) )
=> ! [D: a] :
( ( ( A @ D )
| ( B @ D ) )
=> ( C @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( A @ D )
=> ( C @ D ) )
& ! [D: a] :
( ( B @ D )
=> ( C @ D ) ) )
=> ! [D: a] :
( ( ( A @ D )
| ( B @ D ) )
=> ( C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( sk1 @ sk4 )
| ( sk2 @ sk4 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( sk3 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( sk3 @ sk4 ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( ( sk3 @ A )
!= ( sk3 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[7,4]) ).
thf(10,plain,
~ ( sk1 @ sk4 ),
inference(pattern_uni,[status(thm)],[9:[bind(A,$thf( sk4 ))]]) ).
thf(11,plain,
( $false
| ( sk2 @ sk4 ) ),
inference(rewrite,[status(thm)],[5,10]) ).
thf(12,plain,
sk2 @ sk4,
inference(simp,[status(thm)],[11]) ).
thf(6,plain,
! [A: a] :
( ~ ( sk2 @ A )
| ( sk3 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: a] :
( ~ ( sk2 @ A )
| ( sk3 @ A ) ),
inference(simp,[status(thm)],[6]) ).
thf(13,plain,
! [A: a] :
( ~ ( sk2 @ A )
| ( ( sk3 @ A )
!= ( sk3 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[8,4]) ).
thf(14,plain,
~ ( sk2 @ sk4 ),
inference(pattern_uni,[status(thm)],[13:[bind(A,$thf( sk4 ))]]) ).
thf(15,plain,
$false,
inference(rewrite,[status(thm)],[12,14]) ).
thf(16,plain,
$false,
inference(simp,[status(thm)],[15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET014^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 11:36:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.92/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.01/1.02 % [INFO] Parsing done (139ms).
% 1.25/1.03 % [INFO] Running in sequential loop mode.
% 1.65/1.38 % [INFO] nitpick registered as external prover.
% 1.75/1.38 % [INFO] Scanning for conjecture ...
% 1.90/1.45 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.94/1.49 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.94/1.49 % [INFO] Problem is higher-order (TPTP THF).
% 1.94/1.49 % [INFO] Type checking passed.
% 1.94/1.50 % [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 ...
% 2.64/1.90 % [INFO] Killing All external provers ...
% 2.64/1.90 % Time passed: 1442ms (effective reasoning time: 864ms)
% 2.64/1.90 % 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)>
% 2.64/1.90 % Axioms used in derivation (0):
% 2.64/1.90 % No. of inferences in proof: 16
% 2.64/1.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1442 ms resp. 864 ms w/o parsing
% 2.91/1.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.91/1.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------