%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ANA074^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n018.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 07:45:43 AM UTC 2026
% Result : Theorem 8.62s 3.28s
% Output : Refutation 9.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 7 unt; 0 typ; 4 def)
% Number of atoms : 272 ( 37 equ; 0 cnn)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 600 ( 73 ~; 77 |; 15 &; 413 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 86 ( 4 ^; 76 !; 2 ?; 86 :)
% ( 0 !>; 0 ?*; 0 @-; 4 @+)
% Comments :
%------------------------------------------------------------------------------
thf('type/realax/real_type',type,
'type/realax/real': $tType ).
thf('const/sets/sup_decl',type,
'const/sets/sup': ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf('const/sets/IN_decl',type,
'const/sets/IN':
!>[TA: $tType] : ( TA > ( TA > $o ) > $o ) ).
thf('const/sets/EMPTY_decl',type,
'const/sets/EMPTY':
!>[TA: $tType] : ( TA > $o ) ).
thf('const/realax/real_le_decl',type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf(sk1_decl,type,
sk1: 'type/realax/real' > $o ).
thf(sk2_decl,type,
sk2: 'type/realax/real' ).
thf(sk3_decl,type,
sk3: ( 'type/realax/real' > $o ) > $o ).
thf(sk4_decl,type,
sk4: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(sk5_decl,type,
sk5: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(sk1_def,definition,
( sk1
= ( @+[A: 'type/realax/real' > $o] :
~ ! [B: 'type/realax/real'] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: 'type/realax/real'] :
~ ( ( ( sk1
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 )
=> ( 'const/realax/real_le' @ B @ A ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ A ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( ^ [A: 'type/realax/real',B: 'type/realax/real' > $o] :
@+[C: 'type/realax/real'] :
~ ( ( 'const/sets/IN' @ 'type/realax/real' @ C @ B )
=> ( 'const/realax/real_le' @ C @ A ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: 'type/realax/real',B: 'type/realax/real' > $o] :
@+[C: 'type/realax/real'] :
~ ( ( 'const/sets/IN' @ 'type/realax/real' @ C @ B )
=> ( 'const/realax/real_le' @ C @ A ) ) ) ) ).
thf(3,axiom,
! [A: 'type/realax/real' > $o] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ? [B: 'type/realax/real'] :
! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) )
=> ( ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) )
& ! [B: 'type/realax/real'] :
( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/SUP_') ).
thf(10,plain,
! [A: 'type/realax/real' > $o] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ? [B: 'type/realax/real'] :
! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) )
=> ( ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) )
& ! [B: 'type/realax/real'] :
( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,plain,
! [D: 'type/realax/real',C: 'type/realax/real',B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ B @ A ) @ A )
| ( sk3 @ A ) )
& ( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/realax/real_le' @ ( sk4 @ B @ A ) @ B )
| ( sk3 @ A ) )
& ( ~ ( sk3 @ A )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
| ( 'const/realax/real_le' @ C @ ( 'const/sets/sup' @ A ) ) )
& ( ~ ( sk3 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ D @ A ) @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ D ) )
& ( ~ ( sk3 @ A )
| ~ ( 'const/realax/real_le' @ ( sk5 @ D @ A ) @ D )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ D ) ) ),
inference(cnf,[status(esa)],[10]) ).
thf(15,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(21,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(simp,[status(thm)],[15]) ).
thf(1,conjecture,
! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_SUP_LE_') ).
thf(2,negated_conjecture,
~ ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [A: 'type/realax/real'] :
( ( sk1
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ A @ sk2 ) )
& ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk2 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(7,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ A @ sk2 ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(14,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ~ ( 'const/realax/real_le' @ ( sk5 @ B @ A ) @ B )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(17,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ~ ( 'const/realax/real_le' @ ( sk5 @ B @ A ) @ B )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(simp,[status(thm)],[14]) ).
thf(40,plain,
! [C: 'type/realax/real',B: 'type/realax/real' > $o,A: 'type/realax/real'] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ~ ( sk3 @ B )
| ~ $true
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ B ) @ C )
| ( ( 'const/realax/real_le' @ A @ sk2 )
!= ( 'const/realax/real_le' @ ( sk5 @ C @ B ) @ C ) ) ),
inference(paramod_ordered,[status(thm)],[7,17]) ).
thf(41,plain,
! [C: 'type/realax/real',B: 'type/realax/real' > $o,A: 'type/realax/real'] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ~ ( sk3 @ B )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ B ) @ C )
| ( ( 'const/realax/real_le' @ A @ sk2 )
!= ( 'const/realax/real_le' @ ( sk5 @ C @ B ) @ C ) ) ),
inference(simp,[status(thm)],[40]) ).
thf(42,plain,
! [A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ A ) @ sk1 )
| ~ ( sk3 @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ sk2 ) ),
inference(pattern_uni,[status(thm)],[41:[bind(A,$thf( sk5 @ sk2 @ E )),bind(B,$thf( E )),bind(C,$thf( sk2 ))]]) ).
thf(44,plain,
! [A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ A ) @ sk1 )
| ~ ( sk3 @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ sk2 ) ),
inference(simp,[status(thm)],[42]) ).
thf(8,plain,
~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk2 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(47,plain,
! [A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ A ) @ sk1 )
| ~ ( sk3 @ A )
| ~ $true
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ sk2 )
!= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[44,8]) ).
thf(48,plain,
! [A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ A ) @ sk1 )
| ~ ( sk3 @ A )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ sk2 )
!= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk2 ) ) ),
inference(simp,[status(thm)],[47]) ).
thf(49,plain,
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ sk1 ) @ sk1 )
| ~ ( sk3 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[48:[bind(A,$thf( sk1 ))]]) ).
thf(13,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ B @ A ) @ A )
| ( sk3 @ A ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(18,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ B @ A ) @ A )
| ( sk3 @ A ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(6,plain,
( sk1
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(9,plain,
( sk1
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(66,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ B @ A ) @ A )
| ( sk3 @ A )
| ( ( 'const/sets/EMPTY' @ 'type/realax/real' )
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[18,9]) ).
thf(67,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ B @ A ) @ A )
| ( sk3 @ A )
| ( A != sk1 ) ),
inference(simp,[status(thm)],[66]) ).
thf(68,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
| ( sk3 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[67:[bind(A,$thf( sk1 )),bind(B,$thf( B ))]]) ).
thf(108,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
| ( sk3 @ sk1 ) ),
inference(simp,[status(thm)],[68]) ).
thf(142,plain,
! [B: 'type/realax/real',A: 'type/realax/real'] :
( ( sk3 @ sk1 )
| ~ $true
| ( 'const/realax/real_le' @ B @ sk2 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[108,7]) ).
thf(143,plain,
! [B: 'type/realax/real',A: 'type/realax/real'] :
( ( sk3 @ sk1 )
| ( 'const/realax/real_le' @ B @ sk2 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 ) ) ),
inference(simp,[status(thm)],[142]) ).
thf(144,plain,
! [A: 'type/realax/real'] :
( ( sk3 @ sk1 )
| ( 'const/realax/real_le' @ ( sk4 @ A @ sk1 ) @ sk2 ) ),
inference(pattern_uni,[status(thm)],[143:[bind(A,$thf( C )),bind(B,$thf( sk4 @ C @ sk1 ))]]) ).
thf(164,plain,
! [A: 'type/realax/real'] :
( ( sk3 @ sk1 )
| ( 'const/realax/real_le' @ ( sk4 @ A @ sk1 ) @ sk2 ) ),
inference(simp,[status(thm)],[144]) ).
thf(12,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/realax/real_le' @ ( sk4 @ B @ A ) @ B )
| ( sk3 @ A ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(19,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/realax/real_le' @ ( sk4 @ B @ A ) @ B )
| ( sk3 @ A ) ),
inference(lifteq,[status(thm)],[12]) ).
thf(220,plain,
! [C: 'type/realax/real',B: 'type/realax/real' > $o,A: 'type/realax/real'] :
( ( sk3 @ sk1 )
| ( B
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ $true
| ( sk3 @ B )
| ( ( 'const/realax/real_le' @ ( sk4 @ A @ sk1 ) @ sk2 )
!= ( 'const/realax/real_le' @ ( sk4 @ C @ B ) @ C ) ) ),
inference(paramod_ordered,[status(thm)],[164,19]) ).
thf(221,plain,
! [C: 'type/realax/real',B: 'type/realax/real' > $o,A: 'type/realax/real'] :
( ( sk3 @ sk1 )
| ( B
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( sk3 @ B )
| ( ( 'const/realax/real_le' @ ( sk4 @ A @ sk1 ) @ sk2 )
!= ( 'const/realax/real_le' @ ( sk4 @ C @ B ) @ C ) ) ),
inference(simp,[status(thm)],[220]) ).
thf(222,plain,
( ( sk3 @ sk1 )
| ( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( sk3 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[221:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( sk2 ))]]) ).
thf(297,plain,
( ( sk3 @ sk1 )
| ( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) ),
inference(simp,[status(thm)],[222]) ).
thf(308,plain,
sk3 @ sk1,
inference(simplifyReflect,[status(thm)],[297,9]) ).
thf(309,plain,
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ sk1 ) @ sk1 )
| ~ $true ),
inference(rewrite,[status(thm)],[49,308]) ).
thf(310,plain,
~ ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ sk1 ) @ sk1 ),
inference(simp,[status(thm)],[309]) ).
thf(415,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
| ~ $true
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
!= ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ sk1 ) @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[21,310]) ).
thf(416,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
!= ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ sk1 ) @ sk1 ) ) ),
inference(simp,[status(thm)],[415]) ).
thf(417,plain,
( ~ ( sk3 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk2 ) ),
inference(pattern_uni,[status(thm)],[416:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(444,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[417,308,8]) ).
thf(445,plain,
$false,
inference(simp,[status(thm)],[444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA074^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:41:26 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.72/0.54 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.03/0.73 % [INFO] Parsing done (192ms).
% 1.03/0.75 % [INFO] Running in sequential loop mode.
% 1.69/1.13 % [INFO] eprover registered as external prover.
% 1.69/1.14 % [INFO] Scanning for conjecture ...
% 1.80/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.80/1.28 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.80/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.29 % [INFO] Type checking passed.
% 1.98/1.30 % [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 ...
% 8.62/3.27 % [INFO] Killing All external provers ...
% 8.62/3.28 % Time passed: 2989ms (effective reasoning time: 2524ms)
% 8.62/3.28 % 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)>
% 8.62/3.28 % Axioms used in derivation (1): thm/sets/SUP_
% 8.62/3.28 % No. of inferences in proof: 46
% 8.62/3.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2989 ms resp. 2524 ms w/o parsing
% 9.16/3.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.16/3.36 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------