TSTP Solution File: GEO581+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO581+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 06:16:49 EDT 2022
% Result : Theorem 15.71s 15.93s
% Output : Refutation 15.71s
% 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 : 5 ( 5 usr; 4 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('SKOLEMAAAM16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(112,negated_conjecture,
perp('SKOLEMAAAM23','SKOLEMAAAM21','SKOLEMAAAM23','SKOLEMAAAM22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416043) ).
cnf(117,negated_conjecture,
~ eqangle('SKOLEMAAAM21','SKOLEMAAAM23','SKOLEMAAAM23','SKOLEMAAAM26','SKOLEMAAAM26','SKOLEMAAAM23','SKOLEMAAAM23','SKOLEMAAAM22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416043) ).
cnf(123,plain,
perp('SKOLEMAAAM23','SKOLEMAAAM22','SKOLEMAAAM23','SKOLEMAAAM21'),
inference('HYPERRESOLVE',[status(thm)],[7,112]) ).
cnf(132,plain,
~ eqangle('SKOLEMAAAM23','SKOLEMAAAM21','SKOLEMAAAM23','SKOLEMAAAM26','SKOLEMAAAM26','SKOLEMAAAM23','SKOLEMAAAM23','SKOLEMAAAM22'),
inference('UR-RESOLVE',[status(thm)],[17,117]) ).
cnf(155,plain,
para('SKOLEMAAAM23','SKOLEMAAAM22','SKOLEMAAAM23','SKOLEMAAAM22'),
inference('HYPERRESOLVE',[status(thm)],[8,123,112]) ).
cnf(197,plain,
eqangle('SKOLEMAAAM23','SKOLEMAAAM22',X,Y,'SKOLEMAAAM23','SKOLEMAAAM22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,155]) ).
cnf(1098,plain,
~ eqangle('SKOLEMAAAM26','SKOLEMAAAM23','SKOLEMAAAM23','SKOLEMAAAM22','SKOLEMAAAM23','SKOLEMAAAM21','SKOLEMAAAM23','SKOLEMAAAM26'),
inference('UR-RESOLVE',[status(thm)],[19,132]) ).
cnf(2892,plain,
~ eqangle('SKOLEMAAAM23','SKOLEMAAAM26','SKOLEMAAAM23','SKOLEMAAAM22','SKOLEMAAAM23','SKOLEMAAAM21','SKOLEMAAAM23','SKOLEMAAAM26'),
inference('UR-RESOLVE',[status(thm)],[17,1098]) ).
cnf(5234,plain,
eqangle('SKOLEMAAAM23','SKOLEMAAAM22','SKOLEMAAAM23','SKOLEMAAAM22',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,197]) ).
cnf(5235,plain,
eqangle(X,Y,'SKOLEMAAAM23','SKOLEMAAAM22',X,Y,'SKOLEMAAAM23','SKOLEMAAAM22'),
inference('HYPERRESOLVE',[status(thm)],[18,197]) ).
cnf(6337,plain,
~ eqangle('SKOLEMAAAM23','SKOLEMAAAM26','SKOLEMAAAM23','SKOLEMAAAM21','SKOLEMAAAM23','SKOLEMAAAM22','SKOLEMAAAM23','SKOLEMAAAM26'),
inference('UR-RESOLVE',[status(thm)],[20,2892]) ).
cnf(16909,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,5235]) ).
cnf(16915,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,16909]) ).
cnf(16921,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,16915,16915]) ).
cnf(18996,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,16921,16921]) ).
cnf(19000,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,18996]) ).
cnf(19002,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,18996]) ).
cnf(19023,plain,
cyclic('SKOLEMAAAM22','SKOLEMAAAM22','SKOLEMAAAM23',X),
inference('HYPERRESOLVE',[status(thm)],[19002,5234]) ).
cnf(19058,plain,
cyclic('SKOLEMAAAM22','SKOLEMAAAM23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,19023,19023]) ).
cnf(19069,plain,
cyclic('SKOLEMAAAM23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,19058,19058]) ).
cnf(19404,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,19069,19069]) ).
cnf(19405,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,19404]) ).
cnf(19406,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAM16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,19404]) ).
cnf(19407,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,19404]) ).
cnf(19408,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,19404]) ).
cnf(19454,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[19408,19407]) ).
cnf(19501,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[19405,19454,19454]) ).
cnf(19506,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,19501]) ).
cnf(19508,plain,
circle('SKOLEMAAAM16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[19406,19501]) ).
cnf(19526,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[19000,19508,19407]) ).
cnf(19584,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[19506,19526]) ).
cnf(19585,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,19584]) ).
cnf(19587,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,19585]) ).
cnf(19588,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,19585]) ).
cnf(19589,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,19588]) ).
cnf(19591,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,19588]) ).
cnf(19606,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[19589,19526]) ).
cnf(19607,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,19606]) ).
cnf(19609,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[19587,19606]) ).
cnf(19612,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,19609]) ).
cnf(19613,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[19607,19612]) ).
cnf(19642,plain,
eqangle(X,Y,X,Z,U,V,W,X1),
inference('HYPERRESOLVE',[status(thm)],[21,19613,19591]) ).
cnf(19643,plain,
$false,
inference('REWRITE',[status(thm)],[6337,19642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO581+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.11 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jun 17 15:16:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:16:02
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-17T15:16:02
% 0.17/0.47
% 0.17/0.47 WARNING: In quantification, variable ?M is being rebound.
% 0.17/0.47 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 15.71/15.93 ; Declaring coll to be commutative.
% 15.71/15.93
% 15.71/15.93 #||
% 15.71/15.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.71/15.93 % SZS output start Refutation
% See solution above
% 15.71/15.94 ||#
% 15.71/15.94
% 15.71/15.94 ; Summary of computation:
% 15.71/15.94 ; 86453 formulas have been input or derived (from 747 formulas).
% 15.71/15.94 ; 19643 (23%) were retained. Of these,
% 15.71/15.94 ; 19522 (99%) were simplified or subsumed later,
% 15.71/15.94 ; 121 ( 1%) are still being kept.
% 15.71/15.94 ;
% 15.71/15.94 ; Run time in seconds excluding printing time:
% 15.71/15.94 ; 0.015 0% Read assertion file (1 call)
% 15.71/15.94 ; 0.003 0% Assert (95 calls)
% 15.71/15.94 ; 0.958 6% Process new row (84,767 calls)
% 15.71/15.94 ; 12.268 79% Resolution (1,492 calls)
% 15.71/15.94 ; 0.003 0% Paramodulation (746 calls)
% 15.71/15.94 ; 0.000 0% Condensing (241 calls)
% 15.71/15.94 ; 0.002 0% Forward subsumption (241 calls)
% 15.71/15.94 ; 0.008 0% Backward subsumption (235 calls)
% 15.71/15.94 ; 0.025 0% Clause clause subsumption (359 calls)
% 15.71/15.94 ; 0.346 2% Forward simplification (67,457 calls)
% 15.71/15.94 ; 1.603 10% Backward simplification (19,643 calls)
% 15.71/15.94 ; 0.000 0% Ordering (198 calls)
% 15.71/15.94 ; 0.001 0% Sortal reasoning (32 calls)
% 15.71/15.94 ; 0.000 0% Purity testing (1 call)
% 15.71/15.94 ; 0.251 2% Other
% 15.71/15.94 ; 15.483 Total
% 15.71/15.94 ; 15.489 Real time
% 15.71/15.94 ;
% 15.71/15.94 ; Term-hash-array has 28,137 terms in all.
% 15.71/15.94 ; Feature-vector-row-index has 26 entries (189 at peak, 235 added, 209 deleted).
% 15.71/15.94 ; Feature-vector-row-index has 26 nodes (416 at peak, 530 added, 504 deleted).
% 15.71/15.94 ; Retrieved 210 possibly forward subsuming rows in 241 calls.
% 15.71/15.94 ; Retrieved 187 possibly backward subsumed rows in 235 calls.
% 15.71/15.94 ; Path-index has 135 entries (24,112 at peak, 28,178 added, 28,043 deleted).
% 15.71/15.94 ; Path-index has 1,436 nodes (3,666 at peak, 4,194 added, 2,758 deleted).
% 15.71/15.94 ; Trie-index has 135 entries (24,112 at peak, 28,178 added, 28,043 deleted).
% 15.71/15.94 ; Trie-index has 444 nodes (74,425 at peak, 89,689 added, 89,245 deleted).
% 15.71/15.94 ; Retrieved 60,606 generalization terms in 67,467 calls.
% 15.71/15.94 ; Retrieved 91,083 instance terms in 19,407 calls.
% 15.71/15.94 ; Retrieved 22,125,963 unifiable terms in 476,590 calls.
% 15.71/15.94 ;
% 15.71/15.94 ; The agenda of backward simplifiable rows to process has 1 entry:
% 15.71/15.94 ; 1 with value 0
% 15.71/15.94 ; The agenda of rows to process has 15 entries:
% 15.71/15.94 ; 15 with value 11
% 15.71/15.94 ; The agenda of input rows to give has 1 entry:
% 15.71/15.94 ; 1 with value 10
% 15.71/15.94 ; The agenda of rows to give has 74 entries:
% 15.71/15.94 ; 4 with value (4 7) 10 with value (4 11) 35 with value (4 14)
% 15.71/15.94 ; 1 with value (4 8) 5 with value (4 12) 12 with value (4 15)
% 15.71/15.94 ; 1 with value (4 10) 6 with value (4 13)
% 15.71/15.94 Evaluation took:
% 15.71/15.94 15.49 seconds of real time
% 15.71/15.94 14.964279 seconds of user run time
% 15.71/15.94 0.525036 seconds of system run time
% 15.71/15.94 [Run times include 1.367 seconds GC run time.]
% 15.71/15.94 0 calls to %EVAL
% 15.71/15.94 0 page faults and
% 15.71/15.94 829,339,216 bytes consed.
% 15.71/15.94 :PROOF-FOUND
% 15.71/15.94 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:16:18
% 15.71/15.94 :PROOF-FOUND
% 15.71/15.94 *
%------------------------------------------------------------------------------