%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ANA095^1 : 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 : n010.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 07:45:46 AM UTC 2026
% Result : Theorem 126.24s 102.46s
% Output : Refutation 126.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 15 unt; 0 typ; 3 def)
% Number of atoms : 180 ( 35 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 672 ( 43 ~; 34 |; 19 &; 566 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 2 con; 0-5 aty)
% Number of variables : 80 ( 0 ^; 77 !; 0 ?; 80 :)
% ( 0 !>; 0 ?*; 0 @-; 3 @+)
% Comments :
%------------------------------------------------------------------------------
thf('type/realax/real_type',type,
'type/realax/real': $tType ).
thf(skt1_type,type,
skt1: $tType ).
thf('const/sets/UNION_decl',type,
'const/sets/UNION':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > $o ) > TA > $o ) ).
thf('const/sets/FINITE_decl',type,
'const/sets/FINITE':
!>[TA: $tType] : ( ( TA > $o ) > $o ) ).
thf('const/sets/DISJOINT_decl',type,
'const/sets/DISJOINT':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > $o ) > $o ) ).
thf('const/realax/real_add_decl',type,
'const/realax/real_add': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf('const/iterate/sum_decl',type,
'const/iterate/sum':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > 'type/realax/real' ) > 'type/realax/real' ) ).
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(sk1_decl,type,
sk1: skt1 > 'type/realax/real' ).
thf(sk2_decl,type,
sk2: skt1 > $o ).
thf(sk3_decl,type,
sk3: skt1 > $o ).
thf(sk1_def,definition,
( sk1
= ( @+[A: skt1 > 'type/realax/real'] :
~ ! [B: skt1 > $o,C: skt1 > $o] :
( ( ( 'const/sets/FINITE' @ skt1 @ B )
& ( 'const/sets/FINITE' @ skt1 @ C )
& ( 'const/sets/DISJOINT' @ skt1 @ B @ C ) )
=> ( ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ B @ C ) @ A )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ skt1 @ B @ A ) @ ( 'const/iterate/sum' @ skt1 @ C @ A ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: skt1 > $o] :
~ ! [B: skt1 > $o] :
( ( ( 'const/sets/FINITE' @ skt1 @ A )
& ( 'const/sets/FINITE' @ skt1 @ B )
& ( 'const/sets/DISJOINT' @ skt1 @ A @ B ) )
=> ( ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ A @ B ) @ sk1 )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ skt1 @ A @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ B @ sk1 ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: skt1 > $o] :
~ ( ( ( 'const/sets/FINITE' @ skt1 @ sk2 )
& ( 'const/sets/FINITE' @ skt1 @ A )
& ( 'const/sets/DISJOINT' @ skt1 @ sk2 @ A ) )
=> ( ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ sk2 @ A ) @ sk1 )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ skt1 @ sk2 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ A @ sk1 ) ) ) ) ) ) ).
thf(1,conjecture,
! [TA: $tType,A: TA > 'type/realax/real',B: TA > $o,C: TA > $o] :
( ( ( 'const/sets/FINITE' @ TA @ B )
& ( 'const/sets/FINITE' @ TA @ C )
& ( 'const/sets/DISJOINT' @ TA @ B @ C ) )
=> ( ( 'const/iterate/sum' @ TA @ ( 'const/sets/UNION' @ TA @ B @ C ) @ A )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ TA @ B @ A ) @ ( 'const/iterate/sum' @ TA @ C @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_UNION_') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,A: TA > 'type/realax/real',B: TA > $o,C: TA > $o] :
( ( ( 'const/sets/FINITE' @ TA @ B )
& ( 'const/sets/FINITE' @ TA @ C )
& ( 'const/sets/DISJOINT' @ TA @ B @ C ) )
=> ( ( 'const/iterate/sum' @ TA @ ( 'const/sets/UNION' @ TA @ B @ C ) @ A )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ TA @ B @ A ) @ ( 'const/iterate/sum' @ TA @ C @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [TA: $tType,A: TA > 'type/realax/real',B: TA > $o,C: TA > $o] :
( ( ( 'const/sets/FINITE' @ TA @ B )
& ( 'const/sets/FINITE' @ TA @ C )
& ( 'const/sets/DISJOINT' @ TA @ B @ C ) )
=> ( ( 'const/iterate/sum' @ TA @ ( 'const/sets/UNION' @ TA @ B @ C ) @ A )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ TA @ B @ A ) @ ( 'const/iterate/sum' @ TA @ C @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
( ( 'const/sets/FINITE' @ skt1 @ sk2 )
& ( 'const/sets/FINITE' @ skt1 @ sk3 )
& ( 'const/sets/DISJOINT' @ skt1 @ sk2 @ sk3 )
& ( ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ sk2 @ sk3 ) @ sk1 )
!= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ skt1 @ sk2 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) ) ) ),
inference(cnf,[status(esa)],[6]) ).
thf(11,plain,
( ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ sk2 @ sk3 ) @ sk1 )
!= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ skt1 @ sk2 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) ) ),
inference(cnfConj,[status(thm)],[7]) ).
thf(12,plain,
( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ skt1 @ sk2 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) )
!= ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ sk2 @ sk3 ) @ sk1 ) ),
inference(lifteq,[status(thm)],[11]) ).
thf(10,plain,
'const/sets/DISJOINT' @ skt1 @ sk2 @ sk3,
inference(cnfConj,[status(thm)],[7]) ).
thf(5,axiom,
'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/MONOIDAL_REAL_ADD_') ).
thf(19,plain,
'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add',
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [TA: $tType,TB: $tType,A: TA > TA > TA] :
( ( 'const/iterate/monoidal' @ TA @ A )
=> ! [B: TB > TA,C: TB > $o,D: TB > $o] :
( ( ( 'const/sets/FINITE' @ TB @ C )
& ( 'const/sets/FINITE' @ TB @ D )
& ( 'const/sets/DISJOINT' @ TB @ C @ D ) )
=> ( ( 'const/iterate/iterate' @ TB @ TA @ A @ ( 'const/sets/UNION' @ TB @ C @ D ) @ B )
= ( A @ ( 'const/iterate/iterate' @ TB @ TA @ A @ C @ B ) @ ( 'const/iterate/iterate' @ TB @ TA @ A @ D @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/ITERATE_UNION_') ).
thf(16,plain,
! [TA: $tType,TB: $tType,A: TA > TA > TA] :
( ( 'const/iterate/monoidal' @ TA @ A )
=> ! [B: TB > TA,C: TB > $o,D: TB > $o] :
( ( ( 'const/sets/FINITE' @ TB @ C )
& ( 'const/sets/FINITE' @ TB @ D )
& ( 'const/sets/DISJOINT' @ TB @ C @ D ) )
=> ( ( 'const/iterate/iterate' @ TB @ TA @ A @ ( 'const/sets/UNION' @ TB @ C @ D ) @ B )
= ( A @ ( 'const/iterate/iterate' @ TB @ TA @ A @ C @ B ) @ ( 'const/iterate/iterate' @ TB @ TA @ A @ D @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,plain,
! [TA: $tType,TB: $tType,D: TA > $o,C: TA > $o,B: TA > TB,A: TB > TB > TB] :
( ~ ( 'const/iterate/monoidal' @ TB @ A )
| ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ ( 'const/sets/FINITE' @ TA @ D )
| ~ ( 'const/sets/DISJOINT' @ TA @ C @ D )
| ( ( 'const/iterate/iterate' @ TA @ TB @ A @ ( 'const/sets/UNION' @ TA @ C @ D ) @ B )
= ( A @ ( 'const/iterate/iterate' @ TA @ TB @ A @ C @ B ) @ ( 'const/iterate/iterate' @ TA @ TB @ A @ D @ B ) ) ) ),
inference(cnf,[status(esa)],[16]) ).
thf(18,plain,
! [TA: $tType,TB: $tType,D: TA > $o,C: TA > $o,B: TA > TB,A: TB > TB > TB] :
( ( ( 'const/iterate/iterate' @ TA @ TB @ A @ ( 'const/sets/UNION' @ TA @ C @ D ) @ B )
= ( A @ ( 'const/iterate/iterate' @ TA @ TB @ A @ C @ B ) @ ( 'const/iterate/iterate' @ TA @ TB @ A @ D @ B ) ) )
| ~ ( 'const/iterate/monoidal' @ TB @ A )
| ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ ( 'const/sets/FINITE' @ TA @ D )
| ~ ( 'const/sets/DISJOINT' @ TA @ C @ D ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(66,plain,
! [TA: $tType,TB: $tType,D: TA > $o,C: TA > $o,B: TA > TB,A: TB > TB > TB] :
( ( ( 'const/iterate/iterate' @ TA @ TB @ A @ ( 'const/sets/UNION' @ TA @ C @ D ) @ B )
= ( A @ ( 'const/iterate/iterate' @ TA @ TB @ A @ C @ B ) @ ( 'const/iterate/iterate' @ TA @ TB @ A @ D @ B ) ) )
| ~ $true
| ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ ( 'const/sets/FINITE' @ TA @ D )
| ~ ( 'const/sets/DISJOINT' @ TA @ C @ D )
| ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
!= ( 'const/iterate/monoidal' @ TB @ A ) ) ),
inference(paramod_ordered,[status(thm)],[19,18]) ).
thf(67,plain,
! [TA: $tType,TB: $tType,D: TA > $o,C: TA > $o,B: TA > TB,A: TB > TB > TB] :
( ( ( 'const/iterate/iterate' @ TA @ TB @ A @ ( 'const/sets/UNION' @ TA @ C @ D ) @ B )
= ( A @ ( 'const/iterate/iterate' @ TA @ TB @ A @ C @ B ) @ ( 'const/iterate/iterate' @ TA @ TB @ A @ D @ B ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ ( 'const/sets/FINITE' @ TA @ D )
| ~ ( 'const/sets/DISJOINT' @ TA @ C @ D )
| ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
!= ( 'const/iterate/monoidal' @ TB @ A ) ) ),
inference(simp,[status(thm)],[66]) ).
thf(68,plain,
! [TA: $tType,C: TA > $o,B: TA > $o,A: TA > 'type/realax/real'] :
( ( ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/sets/UNION' @ TA @ B @ C ) @ A )
= ( 'const/realax/real_add' @ ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ B @ A ) @ ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ C @ A ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ B )
| ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ ( 'const/sets/DISJOINT' @ TA @ B @ C ) ),
inference(pattern_uni,[status(thm)],[67:[bind(A,$thf( 'const/realax/real_add' )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind_type(TA,$thf( TA )),bind_type(TB,$thf( 'type/realax/real' ))]]) ).
thf(100,plain,
! [TA: $tType,C: TA > $o,B: TA > $o,A: TA > 'type/realax/real'] :
( ( ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/sets/UNION' @ TA @ B @ C ) @ A )
= ( 'const/realax/real_add' @ ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ B @ A ) @ ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ C @ A ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ B )
| ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ ( 'const/sets/DISJOINT' @ TA @ B @ C ) ),
inference(simp,[status(thm)],[68]) ).
thf(286,plain,
! [TA: $tType,C: TA > $o,B: TA > $o,A: TA > 'type/realax/real'] :
( ( ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/sets/UNION' @ TA @ B @ C ) @ A )
= ( 'const/realax/real_add' @ ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ B @ A ) @ ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ C @ A ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ B )
| ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ $true
| ( ( 'const/sets/DISJOINT' @ skt1 @ sk2 @ sk3 )
!= ( 'const/sets/DISJOINT' @ TA @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[10,100]) ).
thf(287,plain,
! [TA: $tType,C: TA > $o,B: TA > $o,A: TA > 'type/realax/real'] :
( ( ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/sets/UNION' @ TA @ B @ C ) @ A )
= ( 'const/realax/real_add' @ ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ B @ A ) @ ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' @ C @ A ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ B )
| ~ ( 'const/sets/FINITE' @ TA @ C )
| ( ( 'const/sets/DISJOINT' @ skt1 @ sk2 @ sk3 )
!= ( 'const/sets/DISJOINT' @ TA @ B @ C ) ) ),
inference(simp,[status(thm)],[286]) ).
thf(288,plain,
! [A: skt1 > 'type/realax/real'] :
( ( ( 'const/realax/real_add' @ ( 'const/iterate/iterate' @ skt1 @ 'type/realax/real' @ 'const/realax/real_add' @ sk2 @ A ) @ ( 'const/iterate/iterate' @ skt1 @ 'type/realax/real' @ 'const/realax/real_add' @ sk3 @ A ) )
= ( 'const/iterate/iterate' @ skt1 @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/sets/UNION' @ skt1 @ sk2 @ sk3 ) @ A ) )
| ~ ( 'const/sets/FINITE' @ skt1 @ sk2 )
| ~ ( 'const/sets/FINITE' @ skt1 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[287:[bind(A,$thf( A )),bind(B,$thf( sk2 )),bind(C,$thf( sk3 )),bind_type(TA,$thf( skt1 ))]]) ).
thf(8,plain,
'const/sets/FINITE' @ skt1 @ sk2,
inference(cnfConj,[status(thm)],[7]) ).
thf(9,plain,
'const/sets/FINITE' @ skt1 @ sk3,
inference(cnfConj,[status(thm)],[7]) ).
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(13,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(14,plain,
! [TA: $tType] :
( ( 'const/iterate/sum' @ TA )
= ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' ) ),
inference(cnf,[status(esa)],[13]) ).
thf(15,plain,
! [TA: $tType] :
( ( 'const/iterate/iterate' @ TA @ 'type/realax/real' @ 'const/realax/real_add' )
= ( 'const/iterate/sum' @ TA ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(139,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)],[15]) ).
thf(424,plain,
! [A: skt1 > 'type/realax/real'] :
( ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ skt1 @ sk2 @ A ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ A ) )
= ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ sk2 @ sk3 ) @ A ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[288,8,9,139]) ).
thf(425,plain,
! [A: skt1 > 'type/realax/real'] :
( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ skt1 @ sk2 @ A ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ A ) )
= ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ sk2 @ sk3 ) @ A ) ),
inference(simp,[status(thm)],[424]) ).
thf(426,plain,
( ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ sk2 @ sk3 ) @ sk1 )
!= ( 'const/iterate/sum' @ skt1 @ ( 'const/sets/UNION' @ skt1 @ sk2 @ sk3 ) @ sk1 ) ),
inference(rewrite,[status(thm)],[12,425]) ).
thf(427,plain,
$false,
inference(simp,[status(thm)],[426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA095^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.10 % 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
% 0.09/0.25 % Computer : n010.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Tue Sep 29 17:41:33 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 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
% 1.16/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.62/1.17 % [INFO] Parsing done (177ms).
% 1.62/1.18 % [INFO] Running in sequential loop mode.
% 2.37/1.51 % [INFO] eprover registered as external prover.
% 2.37/1.52 % [INFO] Scanning for conjecture ...
% 2.37/1.57 % [INFO] No direction of definition thm/iterate/sum_ detected. Treating as axiom ...
% 2.63/1.61 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.63/1.64 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.63/1.64 % [INFO] No direction of definition thm/iterate/sum_ detected. Treating as axiom ...
% 2.63/1.65 % [INFO] Problem is higher-order (TPTP THF).
% 2.63/1.66 % [INFO] Type checking passed.
% 2.63/1.66 % [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 ...
% 126.24/102.45 % [INFO] Killing All external provers ...
% 126.24/102.46 % Time passed: 102010ms (effective reasoning time: 101271ms)
% 126.24/102.46 % 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)>
% 126.24/102.46 % Axioms used in derivation (3): thm/iterate/MONOIDAL_REAL_ADD_, thm/iterate/ITERATE_UNION_, thm/iterate/sum_
% 126.24/102.46 % No. of inferences in proof: 31
% 126.24/102.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 102010 ms resp. 101271 ms w/o parsing
% 126.48/102.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 126.48/102.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------