TSTP Solution File: SWC392+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC392+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Thu Aug 31 20:43:05 EDT 2023
% Result : Theorem 3.89s 1.17s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 18 unt; 0 def)
% Number of atoms : 388 ( 133 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 462 ( 136 ~; 137 |; 157 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn; 55 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X5] :
( ssItem(X5)
=> ( ? [X6] :
( leq(X6,X5)
& memberP(X3,X6)
& X5 != X6
& ssItem(X6) )
| ~ memberP(X3,X5)
| cons(X5,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X5] :
( ssItem(X5)
=> ( ? [X6] :
( leq(X6,X5)
& memberP(X3,X6)
& X5 != X6
& ssItem(X6) )
| ~ memberP(X3,X5)
| cons(X5,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ! [X6] :
( ssItem(X6)
=> ( memberP(X1,X6)
| ~ memberP(X0,X6) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f149,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f325,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f148]) ).
fof(f326,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f325]) ).
fof(f344,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(sK53,X6)
& ssItem(X6) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(sK53,X6)
& ssItem(X6) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK54,X6)
& memberP(sK53,X6)
& ssItem(X6) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK54,X6)
& memberP(sK53,X6)
& ssItem(X6) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK54,X6)
& memberP(sK53,X6)
& ssItem(X6) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK54,X6)
& memberP(sK53,X6)
& ssItem(X6) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ( nil = sK55
& nil = sK56 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK56,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK54,X6)
& memberP(sK53,X6)
& ssItem(X6) )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK56,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) )
=> ( ! [X5] :
( ~ leq(X5,sK57)
| ~ memberP(sK56,X5)
| sK57 = X5
| ~ ssItem(X5) )
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ? [X6] :
( ~ memberP(sK54,X6)
& memberP(sK53,X6)
& ssItem(X6) )
=> ( ~ memberP(sK54,sK58)
& memberP(sK53,sK58)
& ssItem(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ( ( nil = sK55
& nil = sK56 )
| ( ! [X5] :
( ~ leq(X5,sK57)
| ~ memberP(sK56,X5)
| sK57 = X5
| ~ ssItem(X5) )
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) )
& ~ memberP(sK54,sK58)
& memberP(sK53,sK58)
& ssItem(sK58)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58])],[f223,f349,f348,f347,f346,f345,f344]) ).
fof(f443,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f450,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f470,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f473,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f554,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f350]) ).
fof(f555,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f350]) ).
fof(f556,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f350]) ).
fof(f557,plain,
memberP(sK53,sK58),
inference(cnf_transformation,[],[f350]) ).
fof(f558,plain,
~ memberP(sK54,sK58),
inference(cnf_transformation,[],[f350]) ).
fof(f559,plain,
( nil = sK56
| ssItem(sK57) ),
inference(cnf_transformation,[],[f350]) ).
fof(f560,plain,
( nil = sK56
| sK55 = cons(sK57,nil) ),
inference(cnf_transformation,[],[f350]) ).
fof(f563,plain,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f350]) ).
fof(f564,plain,
( nil = sK55
| sK55 = cons(sK57,nil) ),
inference(cnf_transformation,[],[f350]) ).
fof(f565,plain,
( nil = sK55
| memberP(sK56,sK57) ),
inference(cnf_transformation,[],[f350]) ).
fof(f567,plain,
~ memberP(sK56,sK58),
inference(definition_unfolding,[],[f558,f554]) ).
fof(f568,plain,
memberP(sK55,sK58),
inference(definition_unfolding,[],[f557,f555]) ).
cnf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f443]) ).
cnf(c_148,plain,
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f450]) ).
cnf(c_170,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2) ),
inference(cnf_transformation,[],[f470]) ).
cnf(c_171,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_247,negated_conjecture,
( nil = sK55
| memberP(sK56,sK57) ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_248,negated_conjecture,
( cons(sK57,nil) = sK55
| nil = sK55 ),
inference(cnf_transformation,[],[f564]) ).
cnf(c_249,negated_conjecture,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f563]) ).
cnf(c_252,negated_conjecture,
( cons(sK57,nil) = sK55
| nil = sK56 ),
inference(cnf_transformation,[],[f560]) ).
cnf(c_253,negated_conjecture,
( nil = sK56
| ssItem(sK57) ),
inference(cnf_transformation,[],[f559]) ).
cnf(c_254,negated_conjecture,
~ memberP(sK56,sK58),
inference(cnf_transformation,[],[f567]) ).
cnf(c_255,negated_conjecture,
memberP(sK55,sK58),
inference(cnf_transformation,[],[f568]) ).
cnf(c_256,negated_conjecture,
ssItem(sK58),
inference(cnf_transformation,[],[f556]) ).
cnf(c_11912,plain,
( nil != sK55
| ~ ssItem(sK57)
| ~ ssList(nil)
| nil = sK56 ),
inference(superposition,[status(thm)],[c_252,c_148]) ).
cnf(c_12027,plain,
( ~ memberP(sK55,X0)
| ~ ssItem(X0)
| ~ ssItem(sK57)
| ~ ssList(nil)
| X0 = sK57
| nil = sK55
| memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_248,c_170]) ).
cnf(c_12095,plain,
( nil != sK55
| nil = sK56 ),
inference(global_subsumption_just,[status(thm)],[c_11912,c_141,c_253,c_11912]) ).
cnf(c_12115,plain,
( nil = sK55
| X0 = sK57
| ~ ssItem(X0)
| ~ memberP(sK55,X0) ),
inference(global_subsumption_just,[status(thm)],[c_12027,c_141,c_249,c_171,c_12027]) ).
cnf(c_12116,plain,
( ~ memberP(sK55,X0)
| ~ ssItem(X0)
| X0 = sK57
| nil = sK55 ),
inference(renaming,[status(thm)],[c_12115]) ).
cnf(c_12126,plain,
( ~ ssItem(sK58)
| nil = sK55
| sK57 = sK58 ),
inference(superposition,[status(thm)],[c_255,c_12116]) ).
cnf(c_12233,plain,
( nil = sK55
| sK57 = sK58 ),
inference(global_subsumption_just,[status(thm)],[c_12126,c_256,c_12126]) ).
cnf(c_12239,plain,
( ~ memberP(sK56,sK57)
| nil = sK55 ),
inference(superposition,[status(thm)],[c_12233,c_254]) ).
cnf(c_12242,negated_conjecture,
nil = sK56,
inference(global_subsumption_just,[status(thm)],[c_253,c_247,c_12095,c_12239]) ).
cnf(c_12244,plain,
~ memberP(nil,sK58),
inference(superposition,[status(thm)],[c_12242,c_254]) ).
cnf(c_12246,negated_conjecture,
nil = sK55,
inference(global_subsumption_just,[status(thm)],[c_249,c_247,c_12239]) ).
cnf(c_12248,plain,
memberP(nil,sK58),
inference(superposition,[status(thm)],[c_12246,c_255]) ).
cnf(c_12250,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12248,c_12244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC392+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 16:47:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.89/1.17 % SZS status Started for theBenchmark.p
% 3.89/1.17 % SZS status Theorem for theBenchmark.p
% 3.89/1.17
% 3.89/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.89/1.17
% 3.89/1.17 ------ iProver source info
% 3.89/1.17
% 3.89/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.89/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.89/1.17 git: non_committed_changes: false
% 3.89/1.17 git: last_make_outside_of_git: false
% 3.89/1.17
% 3.89/1.17 ------ Parsing...
% 3.89/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.89/1.17 ------ Proving...
% 3.89/1.17 ------ Problem Properties
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 clauses 193
% 3.89/1.17 conjectures 13
% 3.89/1.17 EPR 60
% 3.89/1.17 Horn 117
% 3.89/1.17 unary 21
% 3.89/1.17 binary 46
% 3.89/1.17 lits 645
% 3.89/1.17 lits eq 90
% 3.89/1.17 fd_pure 0
% 3.89/1.17 fd_pseudo 0
% 3.89/1.17 fd_cond 23
% 3.89/1.17 fd_pseudo_cond 14
% 3.89/1.17 AC symbols 0
% 3.89/1.17
% 3.89/1.17 ------ Input Options Time Limit: Unbounded
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------
% 3.89/1.17 Current options:
% 3.89/1.17 ------
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------ Proving...
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 % SZS status Theorem for theBenchmark.p
% 3.89/1.17
% 3.89/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.17
% 3.89/1.18
%------------------------------------------------------------------------------