TSTP Solution File: GEO571+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO571+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 : Sat Jul 16 06:16:46 EDT 2022
% Result : Theorem 20.39s 20.56s
% Output : Refutation 20.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 26
% Syntax : Number of clauses : 67 ( 34 unt; 0 nHn; 36 RR)
% Number of literals : 122 ( 0 equ; 60 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 251 ( 59 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ coll(X,Y,Z)
| ~ coll(X,Y,U)
| coll(Z,U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
cnf(7,axiom,
( ~ perp(X,Y,Z,U)
| perp(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
cnf(8,axiom,
( ~ perp(X,Y,Z,U)
| ~ perp(Z,U,V,W)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
cnf(11,axiom,
( ~ cong(X,Y,X,Z)
| ~ cong(X,Y,X,U)
| circle(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
cnf(16,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| cyclic(Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
cnf(17,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Y,X,Z,U,V,W,X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
cnf(18,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Z,U,X,Y,X1,Y1,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
cnf(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
cnf(20,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(X,Y,V,W,Z,U,X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(21,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ eqangle(V,W,X1,Y1,Z1,U1,V1,W1)
| eqangle(X,Y,Z,U,Z1,U1,V1,W1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
cnf(38,axiom,
( ~ eqangle(X,Y,Z,U,V,W,Z,U)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
cnf(39,axiom,
( ~ para(X,Y,Z,U)
| eqangle(X,Y,V,W,Z,U,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
cnf(40,axiom,
( ~ cyclic(X,Y,Z,U)
| eqangle(Z,X,Z,Y,U,X,U,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
cnf(42,axiom,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| ~ coll(X,U,Z)
| cyclic(Y,Z,X,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
cnf(43,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| ~ cyclic(X,Y,Z,W)
| ~ eqangle(Z,X,Z,Y,W,U,W,V)
| cong(X,Y,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
cnf(50,axiom,
( ~ circle(X,Y,Z,U)
| ~ midp(V,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
cnf(51,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(V,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
cnf(52,axiom,
( ~ perp(X,Y,Y,Z)
| ~ midp(U,X,Z)
| cong(X,U,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
cnf(55,axiom,
( ~ midp(X,Y,Z)
| ~ perp(U,X,Y,Z)
| cong(U,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
cnf(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
cnf(57,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| ~ cyclic(X,Z,Y,U)
| perp(Y,X,X,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(64,axiom,
( ~ midp(X,Y,Z)
| ~ para(Y,U,Z,V)
| ~ para(Y,V,Z,U)
| midp(X,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(118,negated_conjecture,
perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV28'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214033) ).
cnf(120,negated_conjecture,
~ eqangle('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214033) ).
cnf(129,plain,
perp('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,118]) ).
cnf(140,plain,
~ eqangle('SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV23'),
inference('UR-RESOLVE',[status(thm)],[17,120]) ).
cnf(169,plain,
para('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[8,129,118]) ).
cnf(274,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV28',X,Y,'SKOLEMAAAV23','SKOLEMAAAV28',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,169]) ).
cnf(1385,plain,
~ eqangle('SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[19,140]) ).
cnf(2026,plain,
~ eqangle('SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[17,1385]) ).
cnf(3435,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV28',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,274]) ).
cnf(3436,plain,
eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV28',X,Y,'SKOLEMAAAV23','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[18,274]) ).
cnf(4553,plain,
~ eqangle('SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[20,2026]) ).
cnf(9087,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,3436]) ).
cnf(9093,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,9087]) ).
cnf(9097,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,9093,9093]) ).
cnf(12111,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,9097,9097]) ).
cnf(12115,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,12111]) ).
cnf(12117,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,12111]) ).
cnf(12142,plain,
cyclic('SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV23',X),
inference('HYPERRESOLVE',[status(thm)],[12117,3435]) ).
cnf(12172,plain,
cyclic('SKOLEMAAAV28','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,12142,12142]) ).
cnf(12184,plain,
cyclic('SKOLEMAAAV23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,12172,12172]) ).
cnf(12427,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,12184,12184]) ).
cnf(12428,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,12427]) ).
cnf(12429,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,12427]) ).
cnf(12430,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,12427]) ).
cnf(12431,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,12427]) ).
cnf(12513,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[12431,12430]) ).
cnf(12600,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[12428,12513,12513]) ).
cnf(12605,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,12600]) ).
cnf(12607,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[12429,12600]) ).
cnf(12611,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[12115,12607,12430]) ).
cnf(12669,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[12605,12611]) ).
cnf(12670,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,12669]) ).
cnf(12672,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,12670]) ).
cnf(12673,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,12670]) ).
cnf(12674,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,12673]) ).
cnf(12676,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,12673]) ).
cnf(12681,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[12674,12611]) ).
cnf(12682,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,12681]) ).
cnf(12684,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[12672,12681]) ).
cnf(12687,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,12684]) ).
cnf(12688,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[12682,12687]) ).
cnf(12708,plain,
eqangle(X,Y,X,Z,U,V,W,X1),
inference('HYPERRESOLVE',[status(thm)],[21,12688,12676]) ).
cnf(12709,plain,
$false,
inference('REWRITE',[status(thm)],[4553,12708]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO571+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 18:09:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:09:42
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-17T18:09:42
% 0.21/0.52
% 0.21/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 20.39/20.56 ; Declaring coll to be commutative.
% 20.39/20.56
% 20.39/20.56 #||
% 20.39/20.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.39/20.56 % SZS output start Refutation
% See solution above
% 20.39/20.57 ||#
% 20.39/20.57
% 20.39/20.57 ; Summary of computation:
% 20.39/20.57 ; 77989 formulas have been input or derived (from 938 formulas).
% 20.39/20.57 ; 12709 (16%) were retained. Of these,
% 20.39/20.57 ; 12568 (99%) were simplified or subsumed later,
% 20.39/20.57 ; 141 ( 1%) are still being kept.
% 20.39/20.57 ;
% 20.39/20.57 ; Run time in seconds excluding printing time:
% 20.39/20.57 ; 0.031 0% Read assertion file (1 call)
% 20.39/20.57 ; 0.005 0% Assert (95 calls)
% 20.39/20.57 ; 0.727 4% Process new row (76,159 calls)
% 20.39/20.57 ; 17.697 88% Resolution (1,874 calls)
% 20.39/20.57 ; 0.004 0% Paramodulation (937 calls)
% 20.39/20.57 ; 0.003 0% Condensing (168 calls)
% 20.39/20.57 ; 0.004 0% Forward subsumption (168 calls)
% 20.39/20.57 ; 0.002 0% Backward subsumption (166 calls)
% 20.39/20.57 ; 0.003 0% Clause clause subsumption (195 calls)
% 20.39/20.57 ; 0.360 2% Forward simplification (53,231 calls)
% 20.39/20.57 ; 1.041 5% Backward simplification (12,709 calls)
% 20.39/20.57 ; 0.000 0% Ordering (60 calls)
% 20.39/20.57 ; 0.000 0% Sortal reasoning (32 calls)
% 20.39/20.57 ; 0.000 0% Purity testing (1 call)
% 20.39/20.57 ; 0.211 1% Other
% 20.39/20.57 ; 20.088 Total
% 20.39/20.57 ; 20.095 Real time
% 20.39/20.57 ;
% 20.39/20.57 ; Term-hash-array has 17,862 terms in all.
% 20.39/20.57 ; Feature-vector-row-index has 26 entries (135 at peak, 166 added, 140 deleted).
% 20.39/20.57 ; Feature-vector-row-index has 26 nodes (309 at peak, 345 added, 319 deleted).
% 20.39/20.57 ; Retrieved 164 possibly forward subsuming rows in 168 calls.
% 20.39/20.57 ; Retrieved 69 possibly backward subsumed rows in 166 calls.
% 20.39/20.57 ; Path-index has 156 entries (13,546 at peak, 17,937 added, 17,781 deleted).
% 20.39/20.57 ; Path-index has 1,341 nodes (4,286 at peak, 5,069 added, 3,728 deleted).
% 20.39/20.57 ; Trie-index has 156 entries (13,546 at peak, 17,937 added, 17,781 deleted).
% 20.39/20.57 ; Trie-index has 540 nodes (56,664 at peak, 73,416 added, 72,876 deleted).
% 20.39/20.57 ; Retrieved 54,485 generalization terms in 53,246 calls.
% 20.39/20.57 ; Retrieved 51,558 instance terms in 12,542 calls.
% 20.39/20.57 ; Retrieved 26,823,377 unifiable terms in 967,473 calls.
% 20.39/20.57 ;
% 20.39/20.57 ; The agenda of backward simplifiable rows to process has 1 entry:
% 20.39/20.57 ; 1 with value 0
% 20.39/20.57 ; The agenda of rows to process has 15 entries:
% 20.39/20.57 ; 15 with value 11
% 20.39/20.57 ; The agenda of input rows to give has 1 entry:
% 20.39/20.57 ; 1 with value 10
% 20.39/20.57 ; The agenda of rows to give has 94 entries:
% 20.39/20.57 ; 3 with value (4 7) 3 with value (4 12) 30 with value (4 14)
% 20.39/20.57 ; 1 with value (4 8) 4 with value (4 13) 44 with value (4 15)
% 20.39/20.57 ; 9 with value (4 11)
% 20.39/20.57 Evaluation took:
% 20.39/20.57 20.096 seconds of real time
% 20.39/20.57 19.596361 seconds of user run time
% 20.39/20.57 0.498635 seconds of system run time
% 20.39/20.57 [Run times include 1.314 seconds GC run time.]
% 20.39/20.57 0 calls to %EVAL
% 20.39/20.57 0 page faults and
% 20.39/20.57 1,180,984,672 bytes consed.
% 20.39/20.57 :PROOF-FOUND
% 20.39/20.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:10:02
% 20.39/20.57 :PROOF-FOUND
% 20.39/20.57 *
%------------------------------------------------------------------------------