%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN328+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:39:43 PM UTC 2026
% Result : Theorem 1.54s 1.16s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 72 ( 1 unt; 0 def)
% Number of atoms : 315 ( 0 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 349 ( 133 ~; 148 |; 42 &)
% ( 12 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 72 ( 0 sgn 62 !; 10 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
! [X1,X2] :
( ( ( big_f(X1)
=> big_g(X1) )
<=> big_f(X0) )
=> ( ( ( big_f(X1)
=> big_h(X1) )
<=> big_g(X0) )
=> ( ( ( ( big_f(X1)
=> big_g(X1) )
=> big_h(X1) )
<=> big_h(X0) )
=> ( big_h(X2)
& big_g(X2)
& big_f(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_12_3) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1,X2] :
( ( ( big_f(X1)
=> big_g(X1) )
<=> big_f(X0) )
=> ( ( ( big_f(X1)
=> big_h(X1) )
<=> big_g(X0) )
=> ( ( ( ( big_f(X1)
=> big_g(X1) )
=> big_h(X1) )
<=> big_h(X0) )
=> ( big_h(X2)
& big_g(X2)
& big_f(X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
? [X1,X2] :
( ( ( ~ big_f(X1)
| big_g(X1) )
<=> big_f(X0) )
& ( ( ~ big_f(X1)
| big_h(X1) )
<=> big_g(X0) )
& ( ( ( big_f(X1)
& ~ big_g(X1) )
| big_h(X1) )
<=> big_h(X0) )
& ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0] :
? [X1,X2] :
( ( ( ~ big_f(X1)
| big_g(X1) )
<=> big_f(X0) )
& ( ( ~ big_f(X1)
| big_h(X1) )
<=> big_g(X0) )
& ( ( ( big_f(X1)
& ~ big_g(X1) )
| big_h(X1) )
<=> big_h(X0) )
& ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0] :
? [X1,X2] :
( ( ( big_f(X1)
& ~ big_g(X1) )
| big_f(X0) )
& ( ~ big_f(X0)
| ~ big_f(X1)
| big_g(X1) )
& ( ( big_f(X1)
& ~ big_h(X1) )
| big_g(X0) )
& ( ~ big_g(X0)
| ~ big_f(X1)
| big_h(X1) )
& ( ( ( ~ big_f(X1)
| big_g(X1) )
& ~ big_h(X1) )
| big_h(X0) )
& ( ~ big_h(X0)
| ( big_f(X1)
& ~ big_g(X1) )
| big_h(X1) )
& ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0] :
? [X1,X2] :
( ( ( big_f(X1)
& ~ big_g(X1) )
| big_f(X0) )
& ( ~ big_f(X0)
| ~ big_f(X1)
| big_g(X1) )
& ( ( big_f(X1)
& ~ big_h(X1) )
| big_g(X0) )
& ( ~ big_g(X0)
| ~ big_f(X1)
| big_h(X1) )
& ( ( ( ~ big_f(X1)
| big_g(X1) )
& ~ big_h(X1) )
| big_h(X0) )
& ( ~ big_h(X0)
| ( big_f(X1)
& ~ big_g(X1) )
| big_h(X1) )
& ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X0] :
( ( ( big_f(sK0(X0))
& ~ big_g(sK0(X0)) )
| big_f(X0) )
& ( ~ big_f(X0)
| ~ big_f(sK0(X0))
| big_g(sK0(X0)) )
& ( ( big_f(sK0(X0))
& ~ big_h(sK0(X0)) )
| big_g(X0) )
& ( ~ big_g(X0)
| ~ big_f(sK0(X0))
| big_h(sK0(X0)) )
& ( ( ( ~ big_f(sK0(X0))
| big_g(sK0(X0)) )
& ~ big_h(sK0(X0)) )
| big_h(X0) )
& ( ~ big_h(X0)
| ( big_f(sK0(X0))
& ~ big_g(sK0(X0)) )
| big_h(sK0(X0)) )
& ( ~ big_h(sK1(X0))
| ~ big_g(sK1(X0))
| ~ big_f(sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0))],[f6]) ).
fof(f8,plain,
! [X0] :
( big_f(sK0(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0] :
( ~ big_g(sK0(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_f(sK0(X0))
| big_g(sK0(X0)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] :
( big_f(sK0(X0))
| big_g(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0] :
( ~ big_h(sK0(X0))
| big_g(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
! [X0] :
( ~ big_g(X0)
| ~ big_f(sK0(X0))
| big_h(sK0(X0)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0] :
( ~ big_f(sK0(X0))
| big_g(sK0(X0))
| big_h(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X0] :
( ~ big_h(sK0(X0))
| big_h(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
! [X0] :
( ~ big_h(X0)
| big_f(sK0(X0))
| big_h(sK0(X0)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f17,plain,
! [X0] :
( ~ big_h(X0)
| ~ big_g(sK0(X0))
| big_h(sK0(X0)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( ~ big_h(sK1(X0))
| ~ big_g(sK1(X0))
| ~ big_f(sK1(X0)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ big_h(sK1(X0))
| ~ big_g(sK1(X0))
| ~ big_f(sK1(X0)) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] :
( big_h(sK0(X0))
| ~ big_h(X0)
| ~ big_g(sK0(X0)) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( big_h(sK0(X0))
| big_f(sK0(X0))
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( big_h(X0)
| ~ big_h(sK0(X0)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] :
( big_h(X0)
| big_g(sK0(X0))
| ~ big_f(sK0(X0)) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_54,negated_conjecture,
! [X0: $i] :
( big_h(sK0(X0))
| ~ big_g(X0)
| ~ big_f(sK0(X0)) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_55,negated_conjecture,
! [X0: $i] :
( big_g(X0)
| ~ big_h(sK0(X0)) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_56,negated_conjecture,
! [X0: $i] :
( big_g(X0)
| big_f(sK0(X0)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_57,negated_conjecture,
! [X0: $i] :
( big_g(sK0(X0))
| ~ big_f(X0)
| ~ big_f(sK0(X0)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] :
( big_f(X0)
| ~ big_g(sK0(X0)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_59,negated_conjecture,
! [X0: $i] :
( big_f(X0)
| big_f(sK0(X0)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_128,plain,
! [X0: $i] :
( big_h(sK0(X0))
| ~ big_h(X0)
| ~ big_f(X0)
| ~ big_f(sK0(X0)) ),
inference(resolution,[status(thm)],[c_57,c_50]) ).
tcf(c_130,plain,
! [X0: $i] :
( big_h(sK0(X0))
| ~ big_h(X0)
| ~ big_f(X0) ),
inference(global_subsumption_just,[status(thm)],[c_128,c_51,c_128]) ).
tcf(c_142,plain,
! [X0: $i] :
( big_h(X0)
| big_f(X0)
| ~ big_f(sK0(X0)) ),
inference(resolution,[status(thm)],[c_53,c_58]) ).
tcf(c_144,plain,
! [X0: $i] :
( big_h(X0)
| big_f(X0) ),
inference(global_subsumption_just,[status(thm)],[c_142,c_59,c_142]) ).
tcf(c_156,plain,
! [X0: $i] :
( big_f(sK0(sK1(X0)))
| ~ big_h(sK1(X0))
| ~ big_f(sK1(X0)) ),
inference(resolution,[status(thm)],[c_49,c_56]) ).
tcf(c_164,plain,
! [X0: $i] :
( big_f(sK0(sK1(X0)))
| ~ big_h(sK1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156,c_59]) ).
tcf(c_167,plain,
( big_f(sK0(sK1(iProver_bot)))
| ~ big_h(sK1(iProver_bot)) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_168,plain,
! [X0: $i] :
( ~ big_h(sK1(X0))
| ~ big_f(sK1(X0))
| ~ big_h(sK0(sK1(X0))) ),
inference(resolution,[status(thm)],[c_49,c_55]) ).
tcf(c_169,plain,
( ~ big_h(sK1(iProver_bot))
| ~ big_f(sK1(iProver_bot))
| ~ big_h(sK0(sK1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_179,plain,
! [X0: $i] :
( big_h(sK0(sK0(X0)))
| ~ big_f(X0)
| ~ big_f(sK0(X0))
| ~ big_f(sK0(sK0(X0))) ),
inference(resolution,[status(thm)],[c_57,c_54]) ).
tcf(c_185,plain,
! [X0: $i] :
( big_h(sK0(sK0(X0)))
| ~ big_f(X0)
| ~ big_f(sK0(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179,c_144]) ).
tcf(c_193,plain,
! [X0: $i] :
( big_h(X0)
| big_h(sK0(sK0(X0)))
| ~ big_f(sK0(X0))
| ~ big_f(sK0(sK0(X0))) ),
inference(resolution,[status(thm)],[c_53,c_54]) ).
tcf(c_195,plain,
! [X0: $i] :
( big_h(X0)
| big_h(sK0(sK0(X0)))
| ~ big_f(sK0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_193,c_144,c_185]) ).
tcf(c_215,plain,
! [X0: $i] :
( big_f(X0)
| ~ big_h(sK0(sK0(X0))) ),
inference(resolution,[status(thm)],[c_58,c_55]) ).
tcf(c_223,plain,
! [X0: $i] :
( big_h(sK0(X0))
| big_f(sK0(sK0(X0)))
| ~ big_h(X0) ),
inference(resolution,[status(thm)],[c_50,c_56]) ).
tcf(c_258,plain,
! [X0: $i] :
( big_h(sK0(X0))
| big_f(sK0(sK0(X0)))
| ~ big_h(X0) ),
inference(demodulation,[status(thm)],[c_223]) ).
tcf(c_259,plain,
! [X0: $i] :
( big_f(X0)
| ~ big_h(sK0(sK0(X0))) ),
inference(demodulation,[status(thm)],[c_215]) ).
tcf(c_261,plain,
! [X0: $i] :
( big_h(X0)
| big_h(sK0(sK0(X0)))
| ~ big_f(sK0(X0)) ),
inference(demodulation,[status(thm)],[c_195]) ).
tcf(c_265,plain,
! [X0: $i] :
( big_h(X0)
| big_f(X0) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_266,plain,
! [X0: $i] :
( big_h(sK0(X0))
| ~ big_h(X0)
| ~ big_f(X0) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_268,negated_conjecture,
! [X0: $i] :
( big_h(X0)
| ~ big_h(sK0(X0)) ),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_269,plain,
! [X0: $i] :
( big_h(sK0(X0))
| big_f(sK0(X0)) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_279,plain,
! [X0: $i] :
( big_f(sK1(X0))
| ~ big_h(sK0(sK0(sK1(X0)))) ),
inference(instantiation,[status(thm)],[c_259]) ).
tcf(c_282,plain,
( big_f(sK1(iProver_bot))
| ~ big_h(sK0(sK0(sK1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_279]) ).
tcf(c_289,plain,
! [X0: $i] :
( big_h(sK1(X0))
| big_h(sK0(sK0(sK1(X0))))
| ~ big_f(sK0(sK1(X0))) ),
inference(instantiation,[status(thm)],[c_261]) ).
tcf(c_290,plain,
( big_h(sK1(iProver_bot))
| big_h(sK0(sK0(sK1(iProver_bot))))
| ~ big_f(sK0(sK1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_289]) ).
tcf(c_291,plain,
! [X0: $i] :
( big_h(sK1(X0))
| ~ big_h(sK0(sK1(X0))) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_292,plain,
( big_h(sK1(iProver_bot))
| ~ big_h(sK0(sK1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_291]) ).
tcf(c_301,plain,
! [X0: $i] :
( big_h(sK0(sK0(X0)))
| ~ big_h(sK0(X0))
| ~ big_f(sK0(X0)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_306,plain,
! [X0: $i] :
( big_h(sK0(sK0(X0)))
| ~ big_h(sK0(sK0(sK0(X0)))) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_311,plain,
! [X0: $i] :
( big_h(sK0(sK1(X0)))
| big_f(sK0(sK0(sK1(X0))))
| ~ big_h(sK1(X0)) ),
inference(instantiation,[status(thm)],[c_258]) ).
tcf(c_312,plain,
( big_h(sK0(sK1(iProver_bot)))
| big_f(sK0(sK0(sK1(iProver_bot))))
| ~ big_h(sK1(iProver_bot)) ),
inference(instantiation,[status(thm)],[c_311]) ).
tcf(c_314,plain,
! [X0: $i] :
( big_h(sK0(sK1(X0)))
| ~ big_h(sK0(sK0(sK1(X0)))) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_315,plain,
! [X0: $i] :
( big_h(sK0(sK1(X0)))
| big_h(sK0(sK0(sK0(sK1(X0)))))
| ~ big_f(sK0(sK0(sK1(X0)))) ),
inference(instantiation,[status(thm)],[c_261]) ).
tcf(c_316,plain,
( big_h(sK0(sK1(iProver_bot)))
| big_h(sK0(sK0(sK0(sK1(iProver_bot)))))
| ~ big_f(sK0(sK0(sK1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_317,plain,
( big_h(sK0(sK1(iProver_bot)))
| ~ big_h(sK0(sK0(sK1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_314]) ).
tcf(c_321,plain,
! [X0: $i] :
( big_h(sK0(sK1(X0)))
| big_f(sK0(sK1(X0))) ),
inference(instantiation,[status(thm)],[c_269]) ).
tcf(c_324,plain,
( big_h(sK0(sK1(iProver_bot)))
| big_f(sK0(sK1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_321]) ).
tcf(c_354,plain,
! [X0: $i] :
( big_h(sK0(sK0(sK1(X0))))
| ~ big_h(sK0(sK1(X0)))
| ~ big_f(sK0(sK1(X0))) ),
inference(instantiation,[status(thm)],[c_301]) ).
tcf(c_355,plain,
! [X0: $i] :
( big_h(sK0(sK0(sK1(X0))))
| ~ big_h(sK0(sK0(sK0(sK1(X0))))) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_357,plain,
( big_h(sK0(sK0(sK1(iProver_bot))))
| ~ big_h(sK0(sK0(sK0(sK1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_355]) ).
tcf(c_358,plain,
( big_h(sK0(sK0(sK1(iProver_bot))))
| ~ big_h(sK0(sK1(iProver_bot)))
| ~ big_f(sK0(sK1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_361,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_358,c_357,c_324,c_317,c_316,c_312,c_292,c_290,c_282,c_169,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN328+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:56:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.54/1.16 % SZS status Started for theBenchmark.p
% 1.54/1.16 % SZS status Theorem for theBenchmark.p
% 1.54/1.16
% 1.54/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.54/1.16
% 1.54/1.16 % ------ iProver source info
% 1.54/1.16
% 1.54/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.54/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.54/1.16 % git: non_committed_changes: false
% 1.54/1.16
% 1.54/1.16 % ------ Parsing...
% 1.54/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.54/1.16
% 1.54/1.16 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e %
% 1.54/1.16
% 1.54/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.54/1.16 % ------ Proving...
% 1.54/1.16 % ------ Problem Properties
% 1.54/1.16
% 1.54/1.16 %
% 1.54/1.16 % clauses 11
% 1.54/1.16 % conjectures 2
% 1.54/1.16 % EPR 1
% 1.54/1.16 % Horn 6
% 1.54/1.16 % unary 0
% 1.54/1.16 % binary 7
% 1.54/1.16 % lits 26
% 1.54/1.16 % lits eq 0
% 1.54/1.16 % fd_pure 0
% 1.54/1.16 % fd_pseudo 0
% 1.54/1.16 % fd_cond 0
% 1.54/1.16 % fd_pseudo_cond 0
% 1.54/1.16 % AC symbols 0
% 1.54/1.16
% 1.54/1.16 % ------ Schedule dynamic 5 is on
% 1.54/1.16
% 1.54/1.16 % ------ no equalities: superposition off
% 1.54/1.16
% 1.54/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.54/1.16
% 1.54/1.16
% 1.54/1.16 % ------
% 1.54/1.16 % Current options:
% 1.54/1.16 % ------
% 1.54/1.16
% 1.54/1.16
% 1.54/1.16 %
% 1.54/1.16
% 1.54/1.16 % ------ Proving...
% 1.54/1.16 %
% 1.54/1.16
% 1.54/1.16 % SZS status Theorem for theBenchmark.p
% 1.54/1.16
% 1.54/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/1.16
% 1.54/1.16
%------------------------------------------------------------------------------