%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ANA086^1 : 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 07:45:45 AM UTC 2026
% Result : Theorem 11.60s 4.11s
% Output : Refutation 12.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 8 unt; 0 typ; 4 def)
% Number of atoms : 267 ( 38 equ; 0 cnn)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 566 ( 67 ~; 69 |; 15 &; 393 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 84 ( 4 ^; 74 !; 2 ?; 84 :)
% ( 0 !>; 0 ?*; 0 @-; 4 @+)
% Comments :
%------------------------------------------------------------------------------
thf('type/realax/real_type',type,
'type/realax/real': $tType ).
thf('const/sets/inf_decl',type,
'const/sets/inf': ( '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' @ B @ C ) ) )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) ) ) ) ) ).
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' @ A @ B ) ) )
=> ( 'const/realax/real_le' @ A @ ( 'const/sets/inf' @ sk1 ) ) ) ) ) ).
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' @ A @ C ) ) ) ) ).
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' @ A @ C ) ) ) ) ).
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' @ B @ C ) ) )
=> ( ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B ) )
& ! [B: 'type/realax/real'] :
( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ B @ C ) )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/INF_') ).
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' @ B @ C ) ) )
=> ( ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B ) )
& ! [B: 'type/realax/real'] :
( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ B @ C ) )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) ) ) ) ),
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' @ B @ ( sk4 @ B @ A ) )
| ( sk3 @ A ) )
& ( ~ ( sk3 @ A )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ C ) )
& ( ~ ( sk3 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ D @ A ) @ A )
| ( 'const/realax/real_le' @ D @ ( 'const/sets/inf' @ A ) ) )
& ( ~ ( sk3 @ A )
| ~ ( 'const/realax/real_le' @ D @ ( sk5 @ D @ A ) )
| ( 'const/realax/real_le' @ D @ ( 'const/sets/inf' @ A ) ) ) ),
inference(cnf,[status(esa)],[10]) ).
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(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' @ B @ C ) ) )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/REAL_LE_INF_') ).
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' @ B @ C ) ) )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) ) ),
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' @ B @ C ) ) )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) ) ),
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' @ sk2 @ A ) )
& ~ ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/inf' @ sk1 ) ) ),
inference(cnf,[status(esa)],[4]) ).
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(85,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(86,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ B @ A ) @ A )
| ( sk3 @ A )
| ( A != sk1 ) ),
inference(simp,[status(thm)],[85]) ).
thf(87,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
| ( sk3 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[86:[bind(A,$thf( sk1 )),bind(B,$thf( B ))]]) ).
thf(149,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
| ( sk3 @ sk1 ) ),
inference(simp,[status(thm)],[87]) ).
thf(14,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' @ B @ ( 'const/sets/inf' @ A ) ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(17,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' @ B @ ( 'const/sets/inf' @ A ) ) ),
inference(simp,[status(thm)],[14]) ).
thf(8,plain,
~ ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/inf' @ sk1 ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(40,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
| ~ $true
| ( ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) )
!= ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/inf' @ sk1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[17,8]) ).
thf(41,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
| ( ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) )
!= ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/inf' @ sk1 ) ) ) ),
inference(simp,[status(thm)],[40]) ).
thf(42,plain,
( ~ ( sk3 @ sk1 )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ sk1 ) @ sk1 ) ),
inference(pattern_uni,[status(thm)],[41:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(7,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ sk2 @ A ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(56,plain,
! [A: 'type/realax/real'] :
( ~ ( sk3 @ sk1 )
| ~ $true
| ( 'const/realax/real_le' @ sk2 @ A )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[42,7]) ).
thf(57,plain,
! [A: 'type/realax/real'] :
( ~ ( sk3 @ sk1 )
| ( 'const/realax/real_le' @ sk2 @ A )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ sk2 @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(simp,[status(thm)],[56]) ).
thf(58,plain,
( ~ ( sk3 @ sk1 )
| ( 'const/realax/real_le' @ sk2 @ ( sk5 @ sk2 @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[57:[bind(A,$thf( sk5 @ sk2 @ sk1 ))]]) ).
thf(12,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ~ ( 'const/realax/real_le' @ B @ ( sk5 @ B @ A ) )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(19,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ A )
| ~ ( 'const/realax/real_le' @ B @ ( sk5 @ B @ A ) )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) ) ),
inference(simp,[status(thm)],[12]) ).
thf(235,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ sk1 )
| ~ ( sk3 @ A )
| ~ $true
| ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) )
| ( ( 'const/realax/real_le' @ sk2 @ ( sk5 @ sk2 @ sk1 ) )
!= ( 'const/realax/real_le' @ B @ ( sk5 @ B @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[58,19]) ).
thf(236,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk3 @ sk1 )
| ~ ( sk3 @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/inf' @ A ) )
| ( ( 'const/realax/real_le' @ sk2 @ ( sk5 @ sk2 @ sk1 ) )
!= ( 'const/realax/real_le' @ B @ ( sk5 @ B @ A ) ) ) ),
inference(simp,[status(thm)],[235]) ).
thf(237,plain,
( ~ ( sk3 @ sk1 )
| ~ ( sk3 @ sk1 )
| ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/inf' @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[236:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(244,plain,
( ~ ( sk3 @ sk1 )
| ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/inf' @ sk1 ) ) ),
inference(simp,[status(thm)],[237]) ).
thf(247,plain,
( ~ ( sk3 @ sk1 )
| $false ),
inference(rewrite,[status(thm)],[244,8]) ).
thf(248,plain,
~ ( sk3 @ sk1 ),
inference(simp,[status(thm)],[247]) ).
thf(249,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
| $false ),
inference(rewrite,[status(thm)],[149,248]) ).
thf(250,plain,
! [A: 'type/realax/real'] : ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 ),
inference(simp,[status(thm)],[249]) ).
thf(267,plain,
! [B: 'type/realax/real',A: 'type/realax/real'] :
( ~ $true
| ( 'const/realax/real_le' @ sk2 @ B )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[250,7]) ).
thf(268,plain,
! [B: 'type/realax/real',A: 'type/realax/real'] :
( ( 'const/realax/real_le' @ sk2 @ B )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk4 @ A @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 ) ) ),
inference(simp,[status(thm)],[267]) ).
thf(269,plain,
! [A: 'type/realax/real'] : ( 'const/realax/real_le' @ sk2 @ ( sk4 @ A @ sk1 ) ),
inference(pattern_uni,[status(thm)],[268:[bind(A,$thf( C )),bind(B,$thf( sk4 @ C @ sk1 ))]]) ).
thf(279,plain,
! [A: 'type/realax/real'] : ( 'const/realax/real_le' @ sk2 @ ( sk4 @ A @ sk1 ) ),
inference(simp,[status(thm)],[269]) ).
thf(16,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/realax/real_le' @ B @ ( sk4 @ B @ A ) )
| ( sk3 @ A ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(20,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/realax/real_le' @ B @ ( sk4 @ B @ A ) )
| ( sk3 @ A ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(337,plain,
! [C: 'type/realax/real',B: 'type/realax/real' > $o,A: 'type/realax/real'] :
( ( B
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ $true
| ( sk3 @ B )
| ( ( 'const/realax/real_le' @ sk2 @ ( sk4 @ A @ sk1 ) )
!= ( 'const/realax/real_le' @ C @ ( sk4 @ C @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[279,20]) ).
thf(338,plain,
! [C: 'type/realax/real',B: 'type/realax/real' > $o,A: 'type/realax/real'] :
( ( B
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( sk3 @ B )
| ( ( 'const/realax/real_le' @ sk2 @ ( sk4 @ A @ sk1 ) )
!= ( 'const/realax/real_le' @ C @ ( sk4 @ C @ B ) ) ) ),
inference(simp,[status(thm)],[337]) ).
thf(339,plain,
( ( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( sk3 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[338:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( sk2 ))]]) ).
thf(382,plain,
( ( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| $false ),
inference(rewrite,[status(thm)],[339,248]) ).
thf(383,plain,
( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ),
inference(simp,[status(thm)],[382]) ).
thf(384,plain,
$false,
inference(simplifyReflect,[status(thm)],[383,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA086^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.09 % 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
% 0.10/0.26 % Computer : n010.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Tue Sep 29 17:41:03 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 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
% 1.20/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.49/1.09 % [INFO] Parsing done (187ms).
% 1.49/1.10 % [INFO] Running in sequential loop mode.
% 2.31/1.53 % [INFO] eprover registered as external prover.
% 2.31/1.54 % [INFO] Scanning for conjecture ...
% 2.53/1.64 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.53/1.69 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.72/1.70 % [INFO] Problem is higher-order (TPTP THF).
% 2.72/1.70 % [INFO] Type checking passed.
% 2.72/1.71 % [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 ...
% 11.60/4.10 % [INFO] Killing All external provers ...
% 11.60/4.10 % Time passed: 3650ms (effective reasoning time: 2992ms)
% 11.60/4.10 % 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)>
% 11.60/4.11 % Axioms used in derivation (1): thm/sets/INF_
% 11.60/4.11 % No. of inferences in proof: 47
% 11.60/4.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3650 ms resp. 2992 ms w/o parsing
% 12.33/4.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.33/4.21 % [INFO] Killing All external provers ...
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