%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ANA110^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n015.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 : Wed Sep 30 07:45:47 AM UTC 2026
% Result : Theorem 7.85s 3.17s
% Output : Refutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 19 unt; 0 typ; 2 def)
% Number of atoms : 92 ( 48 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 471 ( 20 ~; 9 |; 3 &; 437 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 4 con; 0-5 aty)
% Number of variables : 45 ( 0 ^; 43 !; 0 ?; 45 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf('type/realax/real_type',type,
'type/realax/real': $tType ).
thf('type/nums/num_type',type,
'type/nums/num': $tType ).
thf('const/realax/real_of_num_decl',type,
'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
thf('const/realax/real_add_decl',type,
'const/realax/real_add': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf('const/nums/SUC_decl',type,
'const/nums/SUC': 'type/nums/num' > 'type/nums/num' ).
thf('const/nums/NUMERAL_decl',type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf('const/nums/_0_decl',type,
'const/nums/_0': 'type/nums/num' ).
thf('const/iterate/sum_decl',type,
'const/iterate/sum':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > 'type/realax/real' ) > 'type/realax/real' ) ).
thf('const/iterate/neutral_decl',type,
'const/iterate/neutral':
!>[TA: $tType] : ( ( TA > TA > TA ) > TA ) ).
thf('const/iterate/monoidal_decl',type,
'const/iterate/monoidal':
!>[TA: $tType] : ( ( TA > TA > TA ) > $o ) ).
thf('const/iterate/iterate_decl',type,
'const/iterate/iterate':
!>[TA: $tType,TB: $tType] : ( ( TA > TA > TA ) > ( TB > $o ) > ( TB > TA ) > TA ) ).
thf('const/iterate/.._decl',type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf('const/class/COND_decl',type,
'const/class/COND':
!>[TA: $tType] : ( $o > TA > TA > TA ) ).
thf('const/arith/<=_decl',type,
'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).
thf(sk1_decl,type,
sk1: 'type/nums/num' > 'type/realax/real' ).
thf(sk2_decl,type,
sk2: 'type/nums/num' ).
thf(sk1_def,definition,
( sk1
= ( @+[A: 'type/nums/num' > 'type/realax/real'] :
~ ! [B: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ 'type/realax/real'
@ ( B
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 )
!= ( 'const/class/COND' @ 'type/realax/real'
@ ( A
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( sk1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ) ).
thf(5,axiom,
! [TA: $tType,A: 'type/nums/num' > TA,B: TA > TA > TA] :
( ( 'const/iterate/monoidal' @ TA @ B )
=> ( ! [C: 'type/nums/num'] :
( ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ TA
@ ( C
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ TA @ B ) ) )
& ! [C: 'type/nums/num',D: 'type/nums/num'] :
( ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ ( 'const/nums/SUC' @ D ) ) @ A )
= ( 'const/class/COND' @ TA @ ( 'const/arith/<=' @ C @ ( 'const/nums/SUC' @ D ) ) @ ( B @ ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ D ) @ A ) @ ( A @ ( 'const/nums/SUC' @ D ) ) ) @ ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ D ) @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/ITERATE_CLAUSES_NUMSEG_') ).
thf(15,plain,
! [TA: $tType,A: 'type/nums/num' > TA,B: TA > TA > TA] :
( ( 'const/iterate/monoidal' @ TA @ B )
=> ( ! [C: 'type/nums/num'] :
( ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ TA
@ ( C
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ TA @ B ) ) )
& ! [C: 'type/nums/num',D: 'type/nums/num'] :
( ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ ( 'const/nums/SUC' @ D ) ) @ A )
= ( 'const/class/COND' @ TA @ ( 'const/arith/<=' @ C @ ( 'const/nums/SUC' @ D ) ) @ ( B @ ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ D ) @ A ) @ ( A @ ( 'const/nums/SUC' @ D ) ) ) @ ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ D ) @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,plain,
! [TA: $tType,E: 'type/nums/num',D: 'type/nums/num',C: 'type/nums/num',B: TA > TA > TA,A: 'type/nums/num' > TA] :
( ( ~ ( 'const/iterate/monoidal' @ TA @ B )
| ( ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ TA
@ ( C
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ TA @ B ) ) ) )
& ( ~ ( 'const/iterate/monoidal' @ TA @ B )
| ( ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ D @ ( 'const/nums/SUC' @ E ) ) @ A )
= ( 'const/class/COND' @ TA @ ( 'const/arith/<=' @ D @ ( 'const/nums/SUC' @ E ) ) @ ( B @ ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ D @ E ) @ A ) @ ( A @ ( 'const/nums/SUC' @ E ) ) ) @ ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ D @ E ) @ A ) ) ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(17,plain,
! [TA: $tType,C: 'type/nums/num',B: TA > TA > TA,A: 'type/nums/num' > TA] :
( ~ ( 'const/iterate/monoidal' @ TA @ B )
| ( ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ TA
@ ( C
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ TA @ B ) ) ) ),
inference(cnfConj,[status(thm)],[16]) ).
thf(19,plain,
! [TA: $tType,C: 'type/nums/num',B: TA > TA > TA,A: 'type/nums/num' > TA] :
( ( ( 'const/iterate/iterate' @ 'type/nums/num' @ TA @ B @ ( 'const/iterate/..' @ C @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ TA
@ ( C
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ TA @ B ) ) )
| ~ ( 'const/iterate/monoidal' @ TA @ B ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(4,axiom,
( ( 'const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add' )
= ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/NEUTRAL_REAL_ADD_') ).
thf(13,plain,
( ( 'const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add' )
= ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,plain,
( ( 'const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add' )
= ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(1,conjecture,
! [A: 'type/nums/num' > 'type/realax/real',B: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ 'type/realax/real'
@ ( B
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_CLAUSES_NUMSEG_0') ).
thf(2,negated_conjecture,
~ ! [A: 'type/nums/num' > 'type/realax/real',B: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ 'type/realax/real'
@ ( B
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ! [A: 'type/nums/num' > 'type/realax/real',B: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
= ( 'const/class/COND' @ 'type/realax/real'
@ ( B
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 )
!= ( 'const/class/COND' @ 'type/realax/real'
@ ( sk2
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( sk1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(cnf,[status(esa)],[7]) ).
thf(9,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 )
!= ( 'const/class/COND' @ 'type/realax/real'
@ ( sk2
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( sk1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(25,plain,
( ( ( 'const/class/COND' @ 'type/realax/real'
@ ( sk2
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( sk1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add' ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 ) )
| ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(paramod_ordered,[status(thm)],[14,9]) ).
thf(26,plain,
( ( 'const/class/COND' @ 'type/realax/real'
@ ( sk2
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( sk1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add' ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 ) ),
inference(pattern_uni,[status(thm)],[25:[]]) ).
thf(47,plain,
! [C: 'type/nums/num',B: 'type/realax/real' > 'type/realax/real' > 'type/realax/real',A: 'type/nums/num' > 'type/realax/real'] :
( ~ ( 'const/iterate/monoidal' @ 'type/realax/real' @ B )
| ( ( 'const/iterate/iterate' @ 'type/nums/num' @ 'type/realax/real' @ B @ ( 'const/iterate/..' @ C @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ A )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 ) )
| ( ( 'const/class/COND' @ 'type/realax/real'
@ ( C
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( A @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ 'type/realax/real' @ B ) )
!= ( 'const/class/COND' @ 'type/realax/real'
@ ( sk2
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( sk1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
@ ( 'const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add' ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,26]) ).
thf(62,plain,
( ~ ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
| ( ( 'const/iterate/iterate' @ 'type/nums/num' @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 ) ) ),
inference(pre_uni,[status(thm)],[47:[bind(A,$thf( sk1 )),bind(B,$thf( 'const/realax/real_add' )),bind(C,$thf( sk2 ))]]) ).
thf(6,axiom,
'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/MONOIDAL_REAL_ADD_') ).
thf(22,plain,
'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add',
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [TA: $tType] :
( ( 'const/iterate/sum' @ TA )
= ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/sum_') ).
thf(10,plain,
! [TA: $tType] :
( ( 'const/iterate/sum' @ TA )
= ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,plain,
! [TA: $tType] :
( ( 'const/iterate/sum' @ TA )
= ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' ) ),
inference(cnf,[status(esa)],[10]) ).
thf(12,plain,
! [TA: $tType] :
( ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' )
= ( 'const/iterate/sum' @ TA ) ),
inference(lifteq,[status(thm)],[11]) ).
thf(24,plain,
! [TA: $tType,B: TA > 'type/realax/real',A: TA > $o] :
( ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ A @ B )
= ( 'const/iterate/sum' @ TA @ A @ B ) ),
inference(func_ext,[status(esa)],[12]) ).
thf(79,plain,
( ~ $true
| ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ sk1 ) ) ),
inference(rewrite,[status(thm)],[62,22,24]) ).
thf(80,plain,
$false,
inference(simp,[status(thm)],[79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA110^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.10/0.21 % Computer : n015.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 17:48:09 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.90/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/1.01 % [INFO] Parsing done (211ms).
% 1.25/1.03 % [INFO] Running in sequential loop mode.
% 2.22/1.44 % [INFO] eprover registered as external prover.
% 2.22/1.44 % [INFO] Scanning for conjecture ...
% 2.42/1.51 % [INFO] No direction of definition thm/iterate/sum_ detected. Treating as axiom ...
% 2.42/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.60/1.60 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.60/1.60 % [INFO] No direction of definition thm/iterate/sum_ detected. Treating as axiom ...
% 2.60/1.62 % [INFO] Problem is higher-order (TPTP THF).
% 2.60/1.63 % [INFO] Type checking passed.
% 2.60/1.64 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 7.85/3.17 % [INFO] Killing All external provers ...
% 7.85/3.17 % Time passed: 2811ms (effective reasoning time: 2133ms)
% 7.85/3.17 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.85/3.17 % Axioms used in derivation (4): thm/iterate/ITERATE_CLAUSES_NUMSEG_, thm/iterate/NEUTRAL_REAL_ADD_, thm/iterate/MONOIDAL_REAL_ADD_, thm/iterate/sum_
% 7.85/3.17 % No. of inferences in proof: 26
% 7.85/3.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2811 ms resp. 2133 ms w/o parsing
% 8.12/3.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.12/3.23 % [INFO] Killing All external provers ...
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