TSTP Solution File: SEU280+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %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 : 600s
% DateTime : Tue Jul 19 14:20:53 EDT 2022
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of clauses : 47 ( 7 unt; 27 nHn; 33 RR)
% Number of literals : 120 ( 51 equ; 41 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ in('SKOLEMAAAV2'(X),X)
| ~ in('SKOLEMAAAV2'(X),'SKOLEMAAAV1')
| ~ ordinal('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).
cnf(2,negated_conjecture,
( in('SKOLEMAAAV2'(X),X)
| in('SKOLEMAAAV2'(X),'SKOLEMAAAV1') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).
cnf(3,negated_conjecture,
( in('SKOLEMAAAV2'(X),X)
| ordinal('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).
cnf(11,axiom,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| ~ in(X,'SKOLEMAAAV7'(Y))
| in('SKOLEMAAAV8'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(12,axiom,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| ~ in(X,'SKOLEMAAAV7'(Y))
| 'SKOLEMAAAV8'(Y,X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(13,axiom,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| ~ in(X,'SKOLEMAAAV7'(Y))
| ordinal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(14,axiom,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| in(X,'SKOLEMAAAV7'(Y))
| ~ in(Z,Y)
| Z != X
| ~ ordinal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(19,axiom,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| in('SKOLEMAAAV8'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(20,axiom,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| 'SKOLEMAAAV8'(Y,X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(21,axiom,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| ordinal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(22,axiom,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| in(X,'SKOLEMAAAV7'(Y))
| ~ in(Z,Y)
| Z != X
| ~ ordinal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(27,axiom,
( 'SKOLEMAAAV5' != 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| in('SKOLEMAAAV8'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(28,axiom,
( 'SKOLEMAAAV5' != 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| 'SKOLEMAAAV8'(Y,X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(29,axiom,
( 'SKOLEMAAAV5' != 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| ordinal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(30,axiom,
( 'SKOLEMAAAV5' != 'SKOLEMAAAV6'
| in(X,'SKOLEMAAAV7'(Y))
| ~ in(Z,Y)
| Z != X
| ~ ordinal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
cnf(35,plain,
( ordinal('SKOLEMAAAV2'('SKOLEMAAAV7'(X)))
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5' ),
inference('HYPERRESOLVE',[status(thm)],[13,3]) ).
cnf(36,plain,
( ordinal('SKOLEMAAAV2'('SKOLEMAAAV7'(X)))
| 'SKOLEMAAAV4' = 'SKOLEMAAAV6' ),
inference('HYPERRESOLVE',[status(thm)],[21,3]) ).
cnf(42,plain,
( in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV1')
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| in('SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))),X) ),
inference('HYPERRESOLVE',[status(thm)],[11,2]) ).
cnf(43,plain,
( in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV1')
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[12,2]) ).
cnf(44,plain,
( in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV1')
| 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| in('SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))),X) ),
inference('HYPERRESOLVE',[status(thm)],[19,2]) ).
cnf(45,plain,
( in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV1')
| 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| 'SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[20,2]) ).
cnf(95,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'(X))
| in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV7'('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[14,43,35,theory(equality)]) ).
cnf(96,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| 'SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'(X))
| in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV7'('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[22,45,36,theory(equality)]) ).
cnf(141,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV8'('SKOLEMAAAV1','SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1'))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[1,95,43,35]) ).
cnf(145,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| in('SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')),'SKOLEMAAAV1') ),
inference('PARAMODULATE',[status(thm)],[42,141,theory(equality)]) ).
cnf(146,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| in('SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')),'SKOLEMAAAV7'('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[14,145,35,theory(equality)]) ).
cnf(147,plain,
'SKOLEMAAAV4' = 'SKOLEMAAAV5',
inference('HYPERRESOLVE',[status(thm)],[1,146,145,35]) ).
cnf(152,plain,
( 'SKOLEMAAAV4' != 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| in('SKOLEMAAAV8'(Y,X),Y) ),
inference('REWRITE',[status(thm)],[27,147,theory(equality)]) ).
cnf(153,plain,
( 'SKOLEMAAAV4' != 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| 'SKOLEMAAAV8'(Y,X) = X ),
inference('REWRITE',[status(thm)],[28,147,theory(equality)]) ).
cnf(154,plain,
( 'SKOLEMAAAV4' != 'SKOLEMAAAV6'
| ~ in(X,'SKOLEMAAAV7'(Y))
| ordinal(X) ),
inference('REWRITE',[status(thm)],[29,147,theory(equality)]) ).
cnf(155,plain,
( 'SKOLEMAAAV4' != 'SKOLEMAAAV6'
| in(X,'SKOLEMAAAV7'(Y))
| ~ in(Z,Y)
| Z != X
| ~ ordinal(X) ),
inference('REWRITE',[status(thm)],[30,147,theory(equality)]) ).
cnf(189,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| 'SKOLEMAAAV8'('SKOLEMAAAV1','SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1'))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[1,96,45,36]) ).
cnf(193,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| in('SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')),'SKOLEMAAAV1') ),
inference('PARAMODULATE',[status(thm)],[44,189,theory(equality)]) ).
cnf(194,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| in('SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')),'SKOLEMAAAV7'('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[22,193,36,theory(equality)]) ).
cnf(195,plain,
'SKOLEMAAAV4' = 'SKOLEMAAAV6',
inference('HYPERRESOLVE',[status(thm)],[1,194,193,36]) ).
cnf(196,plain,
( ~ in(X,'SKOLEMAAAV7'(Y))
| in('SKOLEMAAAV8'(Y,X),Y) ),
inference('REWRITE',[status(thm)],[152,195,theory(equality)]) ).
cnf(197,plain,
( ~ in(X,'SKOLEMAAAV7'(Y))
| 'SKOLEMAAAV8'(Y,X) = X ),
inference('REWRITE',[status(thm)],[153,195,theory(equality)]) ).
cnf(198,plain,
( ~ in(X,'SKOLEMAAAV7'(Y))
| ordinal(X) ),
inference('REWRITE',[status(thm)],[154,195,theory(equality)]) ).
cnf(199,plain,
( in(X,'SKOLEMAAAV7'(Y))
| ~ in(Z,Y)
| Z != X
| ~ ordinal(X) ),
inference('REWRITE',[status(thm)],[155,195,theory(equality)]) ).
cnf(200,plain,
ordinal('SKOLEMAAAV2'('SKOLEMAAAV7'(X))),
inference('HYPERRESOLVE',[status(thm)],[198,3]) ).
cnf(202,plain,
( in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV1')
| in('SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))),X) ),
inference('HYPERRESOLVE',[status(thm)],[196,2]) ).
cnf(203,plain,
( in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV1')
| 'SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[197,2]) ).
cnf(213,plain,
( 'SKOLEMAAAV8'(X,'SKOLEMAAAV2'('SKOLEMAAAV7'(X))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'(X))
| in('SKOLEMAAAV2'('SKOLEMAAAV7'(X)),'SKOLEMAAAV7'('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[199,203,200,theory(equality)]) ).
cnf(221,plain,
'SKOLEMAAAV8'('SKOLEMAAAV1','SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1'))) = 'SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[1,213,203,200]) ).
cnf(225,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')),'SKOLEMAAAV1'),
inference('PARAMODULATE',[status(thm)],[202,221,theory(equality)]) ).
cnf(227,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV7'('SKOLEMAAAV1')),'SKOLEMAAAV7'('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[199,225,200,theory(equality)]) ).
cnf(228,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,225,200]),227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n025.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 : Mon Jun 20 01:34:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T01:34:14
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-20T01:34:14
% 0.60/0.80
% 0.60/0.80
% 0.60/0.80 #||
% 0.60/0.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80 % SZS output start Refutation
% See solution above
% 0.60/0.81 ||#
% 0.60/0.81
% 0.60/0.81 ; Summary of computation:
% 0.60/0.81 ; 2350 formulas have been input or derived (from 145 formulas).
% 0.60/0.81 ; 228 (10%) were retained. Of these,
% 0.60/0.81 ; 178 (78%) were simplified or subsumed later,
% 0.60/0.81 ; 50 (22%) are still being kept.
% 0.60/0.81 ;
% 0.60/0.81 ; Run time in seconds excluding printing time:
% 0.60/0.81 ; 0.002 1% Read assertion file (1 call)
% 0.60/0.81 ; 0.001 0% Assert (6 calls)
% 0.60/0.81 ; 0.035 11% Process new row (2,016 calls)
% 0.60/0.81 ; 0.033 10% Resolution (288 calls)
% 0.60/0.81 ; 0.001 0% Paramodulation (144 calls)
% 0.60/0.81 ; 0.000 0% Factoring (93 calls)
% 0.60/0.81 ; 0.013 4% Condensing (1,766 calls)
% 0.60/0.81 ; 0.145 45% Forward subsumption (1,766 calls)
% 0.60/0.81 ; 0.003 1% Backward subsumption (211 calls)
% 0.60/0.81 ; 0.020 6% Clause clause subsumption (4,200 calls)
% 0.60/0.81 ; 0.028 9% Forward simplification (1,876 calls)
% 0.60/0.81 ; 0.006 2% Backward simplification (228 calls)
% 0.60/0.81 ; 0.006 2% Ordering (1,254 calls)
% 0.60/0.81 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.81 ; 0.000 0% Purity testing (1 call)
% 0.60/0.81 ; 0.032 10% Other
% 0.60/0.81 ; 0.325 Total
% 0.60/0.81 ; 0.333 Real time
% 0.60/0.81 ;
% 0.60/0.81 ; Term-hash-array has 82 terms in all.
% 0.60/0.81 ; Feature-vector-row-index has 33 entries (139 at peak, 211 added, 178 deleted).
% 0.60/0.81 ; Feature-vector-row-index has 216 nodes (942 at peak, 1,446 added, 1,230 deleted).
% 0.60/0.81 ; Retrieved 11,451 possibly forward subsuming rows in 1,766 calls.
% 0.60/0.81 ; Retrieved 90 possibly backward subsumed rows in 211 calls.
% 0.60/0.81 ; Path-index has 78 entries (82 at peak, 111 added, 33 deleted).
% 0.60/0.81 ; Path-index has 168 nodes (171 at peak, 194 added, 26 deleted).
% 0.60/0.81 ; Trie-index has 78 entries (82 at peak, 111 added, 33 deleted).
% 0.60/0.81 ; Trie-index has 225 nodes (228 at peak, 313 added, 88 deleted).
% 0.60/0.81 ; Retrieved 26 generalization terms in 4,903 calls.
% 0.60/0.81 ; Retrieved 16 instance terms in 16 calls.
% 0.60/0.81 ; Retrieved 6,588 unifiable terms in 2,673 calls.
% 0.60/0.81 ;
% 0.60/0.81 ; The agenda of rows to process has 2 entries:
% 0.60/0.81 ; 1 with value 14 1 with value 18
% 0.60/0.81 ; The agenda of rows to give has 17 entries:
% 0.60/0.81 ; 1 with value (4 13) 2 with value (4 26) 2 with value (4 30)
% 0.60/0.81 ; 1 with value (4 14) 4 with value (4 27) 1 with value (4 32)
% 0.60/0.81 ; 3 with value (4 25) 2 with value (4 29) 1 with value (4 35)
% 0.60/0.81 Evaluation took:
% 0.60/0.81 0.334 seconds of real time
% 0.60/0.81 0.300156 seconds of user run time
% 0.60/0.81 0.032988 seconds of system run time
% 0.60/0.81 [Run times include 0.009 seconds GC run time.]
% 0.60/0.81 0 calls to %EVAL
% 0.60/0.81 0 page faults and
% 0.60/0.81 29,621,488 bytes consed.
% 0.60/0.81 :PROOF-FOUND
% 0.60/0.81 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T01:34:14
% 0.60/0.81 :PROOF-FOUND
% 0.60/0.81 *
%------------------------------------------------------------------------------