TSTP Solution File: LCL638+1.005 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL638+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : 600s
% DateTime : Sun Jul 17 14:24:03 EDT 2022
% Result : Theorem 51.58s 51.86s
% Output : Refutation 51.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 18 ( 12 unt; 2 nHn; 18 RR)
% Number of literals : 54 ( 0 equ; 37 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ r1('SKOLEMAABD1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| ~ r1(Z,U)
| ~ r1(U,V)
| ~ r1(V,W)
| r1(W,'SKOLEMAABD2'(W))
| p1(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(2,negated_conjecture,
( ~ r1('SKOLEMAABD1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| ~ r1(Z,U)
| ~ r1(U,V)
| ~ r1(V,W)
| ~ p1('SKOLEMAABD2'(W))
| p1(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(9,negated_conjecture,
( ~ r1('SKOLEMAABD1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| ~ r1(Z,U)
| ~ r1(U,V)
| ~ r1(V,W)
| ~ r1(W,X1)
| p1(X1)
| r1(V,'SKOLEMAABD6'(V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(10,negated_conjecture,
( ~ r1('SKOLEMAABD1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| ~ r1(Z,U)
| ~ r1(U,V)
| ~ r1(V,W)
| ~ r1(W,X1)
| p1(X1)
| ~ p1('SKOLEMAABD6'(V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(11,negated_conjecture,
( ~ r1('SKOLEMAABD1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| ~ r1(Z,U)
| ~ r1(U,V)
| r1(V,'SKOLEMAABD7'(V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(12,negated_conjecture,
r1('SKOLEMAABD1','SKOLEMAABD8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(13,negated_conjecture,
r1('SKOLEMAABD8','SKOLEMAABD9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(14,negated_conjecture,
r1('SKOLEMAABD9','SKOLEMAABD10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(15,negated_conjecture,
r1('SKOLEMAABD10','SKOLEMAABD11'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(16,negated_conjecture,
r1('SKOLEMAABD11','SKOLEMAABD12'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(17,negated_conjecture,
~ p1('SKOLEMAABD12'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(18,negated_conjecture,
( ~ r1('SKOLEMAABD12',X)
| p1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(171,plain,
r1('SKOLEMAABD12','SKOLEMAABD7'('SKOLEMAABD12')),
inference('HYPERRESOLVE',[status(thm)],[11,12,13,14,15,16]) ).
cnf(317,plain,
~ p1('SKOLEMAABD2'('SKOLEMAABD7'('SKOLEMAABD12'))),
inference('UR-RESOLVE',[status(thm)],[2,171,12,13,14,15,16,17]) ).
cnf(318,plain,
r1('SKOLEMAABD7'('SKOLEMAABD12'),'SKOLEMAABD2'('SKOLEMAABD7'('SKOLEMAABD12'))),
inference('UR-RESOLVE',[status(thm)],[1,171,12,13,14,15,16,17]) ).
cnf(701,plain,
~ p1('SKOLEMAABD6'('SKOLEMAABD12')),
inference('UR-RESOLVE',[status(thm)],[10,318,12,13,14,15,16,171,317]) ).
cnf(702,plain,
r1('SKOLEMAABD12','SKOLEMAABD6'('SKOLEMAABD12')),
inference('UR-RESOLVE',[status(thm)],[9,318,12,13,14,15,16,171,317]) ).
cnf(709,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[18,701]),702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL638+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 2 18:46:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T18:46:55
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-02T18:46:55
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.55 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?Y is being rebound.
% 0.21/0.56 WARNING: In quantification, variable ?X is being rebound.
% 51.58/51.86
% 51.58/51.86
% 51.58/51.86 #||
% 51.58/51.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.58/51.86 % SZS output start Refutation
% See solution above
% 51.58/51.87 ||#
% 51.58/51.87
% 51.58/51.87 ; Summary of computation:
% 51.58/51.87 ; 895 formulas have been input or derived (from 318 formulas).
% 51.58/51.87 ; 709 (79%) were retained. Of these,
% 51.58/51.87 ; 55 ( 8%) were simplified or subsumed later,
% 51.58/51.87 ; 654 (92%) are still being kept.
% 51.58/51.87 ;
% 51.58/51.87 ; Run time in seconds excluding printing time:
% 51.58/51.87 ; 0.022 0% Read assertion file (1 call)
% 51.58/51.87 ; 0.017 0% Assert (1 call)
% 51.58/51.87 ; 0.060 0% Process new row (815 calls)
% 51.58/51.87 ; 51.092 100% Resolution (634 calls)
% 51.58/51.87 ; 0.001 0% Paramodulation (317 calls)
% 51.58/51.87 ; 0.000 0% Factoring (25 calls)
% 51.58/51.87 ; 0.004 0% Condensing (397 calls)
% 51.58/51.87 ; 0.012 0% Forward subsumption (397 calls)
% 51.58/51.87 ; 0.011 0% Backward subsumption (392 calls)
% 51.58/51.87 ; 0.000 0% Clause clause subsumption (20 calls)
% 51.58/51.87 ; 0.018 0% Forward simplification (815 calls)
% 51.58/51.87 ; 0.006 0% Backward simplification (709 calls)
% 51.58/51.87 ; 0.008 0% Ordering (635 calls)
% 51.58/51.87 ; 0.000 0% Sortal reasoning (32 calls)
% 51.58/51.87 ; 0.000 0% Purity testing (1 call)
% 51.58/51.87 ; 0.034 0% Other
% 51.58/51.87 ; 51.285 Total
% 51.58/51.87 ; 51.352 Real time
% 51.58/51.87 ;
% 51.58/51.87 ; Term-hash-array has 1,137 terms in all.
% 51.58/51.87 ; Feature-vector-row-index has 337 entries (337 at peak, 392 added, 55 deleted).
% 51.58/51.87 ; Feature-vector-row-index has 1,698 nodes (1,698 at peak, 1,905 added, 207 deleted).
% 51.58/51.87 ; Retrieved 63 possibly forward subsuming rows in 397 calls.
% 51.58/51.87 ; Retrieved 22 possibly backward subsumed rows in 392 calls.
% 51.58/51.87 ; Path-index has 1,103 entries (1,103 at peak, 1,173 added, 70 deleted).
% 51.58/51.87 ; Path-index has 1,298 nodes (1,298 at peak, 1,373 added, 75 deleted).
% 51.58/51.87 ; Trie-index has 1,103 entries (1,103 at peak, 1,173 added, 70 deleted).
% 51.58/51.87 ; Trie-index has 2,001 nodes (2,001 at peak, 2,129 added, 128 deleted).
% 51.58/51.87 ; Retrieved 133 generalization terms in 1,517 calls.
% 51.58/51.87 ; Retrieved 316 instance terms in 316 calls.
% 51.58/51.87 ; Retrieved 92,503,506 unifiable terms in 6,029,521 calls.
% 51.58/51.87 ;
% 51.58/51.87 ; The agenda of rows to give has 346 entries:
% 51.58/51.87 ; 1 with value (4 9) 25 with value (4 13) 35 with value (4 17)
% 51.58/51.87 ; 4 with value (4 10) 45 with value (4 14) 46 with value (4 18)
% 51.58/51.87 ; 39 with value (4 11) 45 with value (4 15) 40 with value (4 20)
% 51.58/51.87 ; 25 with value (4 12) 20 with value (4 16) 21 with value (4 21)
% 51.58/51.87 Evaluation took:
% 51.58/51.87 51.352 seconds of real time
% 51.58/51.87 51.142906 seconds of user run time
% 51.58/51.87 0.143964 seconds of system run time
% 51.58/51.87 [Run times include 0.878 seconds GC run time.]
% 51.58/51.87 0 calls to %EVAL
% 51.58/51.87 0 page faults and
% 51.58/51.87 2,433,270,512 bytes consed.
% 51.58/51.87 :PROOF-FOUND
% 51.58/51.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T18:47:46
% 51.58/51.87 :PROOF-FOUND
% 51.58/51.87 *
%------------------------------------------------------------------------------