%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ANA080^1 : 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 : 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 07:45:44 AM UTC 2026
% Result : Theorem 30.90s 8.34s
% Output : Refutation 31.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 9
% Syntax : Number of formulae : 107 ( 12 unt; 0 typ; 6 def)
% Number of atoms : 608 ( 68 equ; 0 cnn)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 1281 ( 150 ~; 171 |; 18 &; 905 @)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 149 ( 4 ^; 132 !; 7 ?; 149 :)
% ( 0 !>; 0 ?*; 0 @-; 6 @+)
% 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' ).
thf(sk4_decl,type,
sk4: ( 'type/realax/real' > $o ) > $o ).
thf(sk5_decl,type,
sk5: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(sk6_decl,type,
sk6: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(sk8_decl,type,
sk8: 'type/realax/real' ).
thf(sk1_def,definition,
( sk1
= ( @+[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/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
= ( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: 'type/realax/real'] :
! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 )
=> ( 'const/realax/real_le' @ B @ A ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ A )
!= ( ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 )
=> ( 'const/realax/real_le' @ B @ 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(sk6_def,definition,
( sk6
= ( ^ [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(sk8_def,definition,
( sk8
= ( @+[A: 'type/realax/real'] :
~ ( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
=> ( 'const/realax/real_le' @ A @ sk3 ) ) ) ) ).
thf(4,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(15,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)],[4]) ).
thf(16,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' @ ( sk5 @ B @ A ) @ A )
| ( sk4 @ A ) )
& ( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/realax/real_le' @ ( sk5 @ B @ A ) @ B )
| ( sk4 @ A ) )
& ( ~ ( sk4 @ A )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
| ( 'const/realax/real_le' @ C @ ( 'const/sets/sup' @ A ) ) )
& ( ~ ( sk4 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ D @ A ) @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ D ) )
& ( ~ ( sk4 @ A )
| ~ ( 'const/realax/real_le' @ ( sk6 @ D @ A ) @ D )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ D ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(21,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ B @ A ) @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(cnfConj,[status(thm)],[16]) ).
thf(23,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ B @ A ) @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(simp,[status(thm)],[21]) ).
thf(1,conjecture,
! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ? [C: 'type/realax/real'] :
! [D: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ D @ A )
=> ( 'const/realax/real_le' @ D @ C ) ) )
=> ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
= ( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_SUP_LE_EQ_') ).
thf(2,negated_conjecture,
~ ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ? [C: 'type/realax/real'] :
! [D: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ D @ A )
=> ( 'const/realax/real_le' @ D @ C ) ) )
=> ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
= ( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ? [C: 'type/realax/real'] :
! [D: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ D @ A )
=> ( 'const/realax/real_le' @ D @ C ) ) )
=> ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
= ( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,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/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
= ( ! [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
=> ( 'const/realax/real_le' @ C @ B ) ) ) ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(7,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 ) @ sk3 )
!= ( ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 )
=> ( 'const/realax/real_le' @ B @ sk3 ) ) ) ) ),
inference(cnf,[status(esa)],[6]) ).
thf(10,plain,
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
!= ( ! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
=> ( 'const/realax/real_le' @ A @ sk3 ) ) ) ),
inference(cnfConj,[status(thm)],[7]) ).
thf(12,plain,
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
!= ( ! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
=> ( 'const/realax/real_le' @ A @ sk3 ) ) ) ),
inference(lifteq,[status(thm)],[10]) ).
thf(30,plain,
( ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
=> ( 'const/realax/real_le' @ A @ sk3 ) ) ),
inference(bool_ext,[status(thm)],[12]) ).
thf(32,plain,
( ( ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 ) )
& ( ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ( 'const/realax/real_le' @ sk8 @ sk3 ) ) ),
inference(cnf,[status(esa)],[30]) ).
thf(34,plain,
( ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ( 'const/realax/real_le' @ sk8 @ sk3 ) ),
inference(cnfConj,[status(thm)],[32]) ).
thf(36,plain,
( ~ ( 'const/realax/real_le' @ sk8 @ sk3 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
!= ( 'const/realax/real_le' @ sk8 @ sk3 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[34]) ).
thf(37,plain,
( ~ ( 'const/realax/real_le' @ sk8 @ sk3 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
!= ( 'const/realax/real_le' @ sk8 @ sk3 ) ) ),
inference(simp,[status(thm)],[36]) ).
thf(282,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ B @ A ) @ A )
| ~ ( 'const/realax/real_le' @ sk8 @ sk3 )
| ~ ( 'const/realax/real_le' @ sk8 @ sk3 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
!= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[23,37]) ).
thf(283,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ B @ A ) @ A )
| ~ ( 'const/realax/real_le' @ sk8 @ sk3 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
!= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ) ),
inference(simp,[status(thm)],[282]) ).
thf(284,plain,
( ~ ( sk4 @ sk1 )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
| ~ ( 'const/realax/real_le' @ sk8 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[283:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(20,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
| ( sk4 @ A ) ),
inference(cnfConj,[status(thm)],[16]) ).
thf(22,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
| ( sk4 @ A ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(8,plain,
( sk1
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ),
inference(cnfConj,[status(thm)],[7]) ).
thf(11,plain,
( sk1
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(176,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
| ( sk4 @ A )
| ( ( 'const/sets/EMPTY' @ 'type/realax/real' )
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[22,11]) ).
thf(177,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ B @ A ) @ A )
| ( sk4 @ A )
| ( A != sk1 ) ),
inference(simp,[status(thm)],[176]) ).
thf(178,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ A @ sk1 ) @ sk1 )
| ( sk4 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[177:[bind(A,$thf( sk1 )),bind(B,$thf( B ))]]) ).
thf(196,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ A @ sk1 ) @ sk1 )
| ( sk4 @ sk1 ) ),
inference(simp,[status(thm)],[178]) ).
thf(9,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ A @ sk2 ) ),
inference(cnfConj,[status(thm)],[7]) ).
thf(209,plain,
! [B: 'type/realax/real',A: 'type/realax/real'] :
( ( sk4 @ sk1 )
| ~ $true
| ( 'const/realax/real_le' @ B @ sk2 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ A @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[196,9]) ).
thf(210,plain,
! [B: 'type/realax/real',A: 'type/realax/real'] :
( ( sk4 @ sk1 )
| ( 'const/realax/real_le' @ B @ sk2 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk5 @ A @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 ) ) ),
inference(simp,[status(thm)],[209]) ).
thf(211,plain,
! [A: 'type/realax/real'] :
( ( sk4 @ sk1 )
| ( 'const/realax/real_le' @ ( sk5 @ A @ sk1 ) @ sk2 ) ),
inference(pattern_uni,[status(thm)],[210:[bind(A,$thf( C )),bind(B,$thf( sk5 @ C @ sk1 ))]]) ).
thf(230,plain,
! [A: 'type/realax/real'] :
( ( sk4 @ sk1 )
| ( 'const/realax/real_le' @ ( sk5 @ A @ sk1 ) @ sk2 ) ),
inference(simp,[status(thm)],[211]) ).
thf(19,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/realax/real_le' @ ( sk5 @ B @ A ) @ B )
| ( sk4 @ A ) ),
inference(cnfConj,[status(thm)],[16]) ).
thf(26,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/realax/real_le' @ ( sk5 @ B @ A ) @ B )
| ( sk4 @ A ) ),
inference(lifteq,[status(thm)],[19]) ).
thf(1977,plain,
! [C: 'type/realax/real',B: 'type/realax/real' > $o,A: 'type/realax/real'] :
( ( sk4 @ sk1 )
| ( B
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ $true
| ( sk4 @ B )
| ( ( 'const/realax/real_le' @ ( sk5 @ A @ sk1 ) @ sk2 )
!= ( 'const/realax/real_le' @ ( sk5 @ C @ B ) @ C ) ) ),
inference(paramod_ordered,[status(thm)],[230,26]) ).
thf(1978,plain,
! [C: 'type/realax/real',B: 'type/realax/real' > $o,A: 'type/realax/real'] :
( ( sk4 @ sk1 )
| ( B
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( sk4 @ B )
| ( ( 'const/realax/real_le' @ ( sk5 @ A @ sk1 ) @ sk2 )
!= ( 'const/realax/real_le' @ ( sk5 @ C @ B ) @ C ) ) ),
inference(simp,[status(thm)],[1977]) ).
thf(1979,plain,
( ( sk4 @ sk1 )
| ( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( sk4 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[1978:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( sk2 ))]]) ).
thf(2037,plain,
( ( sk4 @ sk1 )
| ( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) ),
inference(simp,[status(thm)],[1979]) ).
thf(2070,plain,
sk4 @ sk1,
inference(simplifyReflect,[status(thm)],[2037,11]) ).
thf(2083,plain,
( ~ $true
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
| ~ ( 'const/realax/real_le' @ sk8 @ sk3 ) ),
inference(rewrite,[status(thm)],[284,2070]) ).
thf(2084,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
| ~ ( 'const/realax/real_le' @ sk8 @ sk3 ) ),
inference(simp,[status(thm)],[2083]) ).
thf(33,plain,
( ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 ) ),
inference(cnfConj,[status(thm)],[32]) ).
thf(311,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ B @ A ) @ A )
| ~ $true
| ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
!= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[23,33]) ).
thf(312,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ B @ A ) @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
!= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ) ),
inference(simp,[status(thm)],[311]) ).
thf(313,plain,
( ~ ( sk4 @ sk1 )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
| ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[312:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(2085,plain,
( ~ $true
| ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
| ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 ) ),
inference(rewrite,[status(thm)],[313,2070]) ).
thf(2086,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
| ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 ) ),
inference(simp,[status(thm)],[2085]) ).
thf(31,plain,
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
=> ( 'const/realax/real_le' @ A @ sk3 ) ) ),
inference(bool_ext,[status(thm)],[12]) ).
thf(35,plain,
! [A: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ A @ sk3 ) ),
inference(cnf,[status(esa)],[31]) ).
thf(2820,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ $true
| ( 'const/realax/real_le' @ A @ sk3 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[2086,35]) ).
thf(2821,plain,
! [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( 'const/realax/real_le' @ A @ sk3 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(simp,[status(thm)],[2820]) ).
thf(2822,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( 'const/realax/real_le' @ ( sk6 @ sk3 @ sk1 ) @ sk3 ) ),
inference(pattern_uni,[status(thm)],[2821:[bind(A,$thf( sk6 @ sk3 @ sk1 ))]]) ).
thf(18,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ~ ( 'const/realax/real_le' @ ( sk6 @ B @ A ) @ B )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(cnfConj,[status(thm)],[16]) ).
thf(25,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ~ ( 'const/realax/real_le' @ ( sk6 @ B @ A ) @ B )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B ) ),
inference(simp,[status(thm)],[18]) ).
thf(3014,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ( sk4 @ A )
| ~ $true
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
| ( ( 'const/realax/real_le' @ ( sk6 @ sk3 @ sk1 ) @ sk3 )
!= ( 'const/realax/real_le' @ ( sk6 @ B @ A ) @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2822,25]) ).
thf(3015,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ( sk4 @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
| ( ( 'const/realax/real_le' @ ( sk6 @ sk3 @ sk1 ) @ sk3 )
!= ( 'const/realax/real_le' @ ( sk6 @ B @ A ) @ B ) ) ),
inference(simp,[status(thm)],[3014]) ).
thf(3016,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ( sk4 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ),
inference(pattern_uni,[status(thm)],[3015:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(3069,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ( sk4 @ sk1 ) ),
inference(simp,[status(thm)],[3016]) ).
thf(5197,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ $true ),
inference(rewrite,[status(thm)],[3069,2070]) ).
thf(5198,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ),
inference(simp,[status(thm)],[5197]) ).
thf(5226,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ~ $true
| ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
!= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[5198,33]) ).
thf(5227,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
!= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ) ),
inference(simp,[status(thm)],[5226]) ).
thf(5228,plain,
'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1,
inference(pattern_uni,[status(thm)],[5227:[]]) ).
thf(5340,plain,
! [A: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ $true
| ( 'const/realax/real_le' @ A @ sk3 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[5228,35]) ).
thf(5341,plain,
! [A: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( 'const/realax/real_le' @ A @ sk3 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(simp,[status(thm)],[5340]) ).
thf(5342,plain,
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( 'const/realax/real_le' @ sk8 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[5341:[bind(A,$thf( sk8 ))]]) ).
thf(17,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) ),
inference(cnfConj,[status(thm)],[16]) ).
thf(24,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) ),
inference(simp,[status(thm)],[17]) ).
thf(2091,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ $true
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
| ( ( sk4 @ sk1 )
!= ( sk4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[2070,24]) ).
thf(2092,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
| ( ( sk4 @ sk1 )
!= ( sk4 @ A ) ) ),
inference(simp,[status(thm)],[2091]) ).
thf(2093,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[2092:[bind(A,$thf( sk1 )),bind(B,$thf( B ))]]) ).
thf(2104,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) ) ),
inference(simp,[status(thm)],[2093]) ).
thf(5346,plain,
! [A: 'type/realax/real'] :
( ~ $true
| ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[5228,2104]) ).
thf(5347,plain,
! [A: 'type/realax/real'] :
( ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sk8 @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(simp,[status(thm)],[5346]) ).
thf(5348,plain,
'const/realax/real_le' @ sk8 @ ( 'const/sets/sup' @ sk1 ),
inference(pattern_uni,[status(thm)],[5347:[bind(A,$thf( sk8 ))]]) ).
thf(3,axiom,
! [A: 'type/realax/real',B: 'type/realax/real',C: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ A @ B )
& ( 'const/realax/real_le' @ B @ C ) )
=> ( 'const/realax/real_le' @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/REAL_LE_TRANS_') ).
thf(13,plain,
! [A: 'type/realax/real',B: 'type/realax/real',C: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ A @ B )
& ( 'const/realax/real_le' @ B @ C ) )
=> ( 'const/realax/real_le' @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,plain,
! [C: 'type/realax/real',B: 'type/realax/real',A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ A @ B )
| ~ ( 'const/realax/real_le' @ B @ C )
| ( 'const/realax/real_le' @ A @ C ) ),
inference(cnf,[status(esa)],[13]) ).
thf(83,plain,
! [C: 'type/realax/real',B: 'type/realax/real',A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ A @ B )
| ~ ( 'const/realax/real_le' @ B @ C )
| ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ $true
| ( ( 'const/realax/real_le' @ A @ C )
!= ( 'const/realax/real_le' @ sk8 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[14,34]) ).
thf(84,plain,
! [C: 'type/realax/real',B: 'type/realax/real',A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ A @ B )
| ~ ( 'const/realax/real_le' @ B @ C )
| ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( ( 'const/realax/real_le' @ A @ C )
!= ( 'const/realax/real_le' @ sk8 @ sk3 ) ) ),
inference(simp,[status(thm)],[83]) ).
thf(85,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ sk8 @ A )
| ~ ( 'const/realax/real_le' @ A @ sk3 )
| ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ),
inference(pattern_uni,[status(thm)],[84:[bind(A,$thf( sk8 )),bind(B,$thf( B )),bind(C,$thf( sk3 ))]]) ).
thf(97,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ sk8 @ A )
| ~ ( 'const/realax/real_le' @ A @ sk3 )
| ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ),
inference(simp,[status(thm)],[85]) ).
thf(5746,plain,
! [A: 'type/realax/real'] :
( ~ $true
| ~ ( 'const/realax/real_le' @ A @ sk3 )
| ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( ( 'const/realax/real_le' @ sk8 @ ( 'const/sets/sup' @ sk1 ) )
!= ( 'const/realax/real_le' @ sk8 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5348,97]) ).
thf(5747,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ A @ sk3 )
| ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ( ( 'const/realax/real_le' @ sk8 @ ( 'const/sets/sup' @ sk1 ) )
!= ( 'const/realax/real_le' @ sk8 @ A ) ) ),
inference(simp,[status(thm)],[5746]) ).
thf(5748,plain,
( ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 )
| ~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ),
inference(pattern_uni,[status(thm)],[5747:[bind(A,$thf( 'const/sets/sup' @ sk1 ))]]) ).
thf(5841,plain,
~ ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ),
inference(simp,[status(thm)],[5748]) ).
thf(6223,plain,
( $false
| ( 'const/realax/real_le' @ sk8 @ sk3 ) ),
inference(rewrite,[status(thm)],[5342,5841]) ).
thf(6224,plain,
'const/realax/real_le' @ sk8 @ sk3,
inference(simp,[status(thm)],[6223]) ).
thf(6231,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
| ~ $true ),
inference(rewrite,[status(thm)],[2084,6224]) ).
thf(6232,plain,
'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1,
inference(simp,[status(thm)],[6231]) ).
thf(5847,plain,
! [A: 'type/realax/real'] :
( $false
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ A @ sk3 ) ),
inference(rewrite,[status(thm)],[35,5841]) ).
thf(5848,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( 'const/realax/real_le' @ A @ sk3 ) ),
inference(simp,[status(thm)],[5847]) ).
thf(8125,plain,
! [A: 'type/realax/real'] :
( ~ $true
| ( 'const/realax/real_le' @ A @ sk3 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[6232,5848]) ).
thf(8126,plain,
! [A: 'type/realax/real'] :
( ( 'const/realax/real_le' @ A @ sk3 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sk6 @ sk3 @ sk1 ) @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 ) ) ),
inference(simp,[status(thm)],[8125]) ).
thf(8127,plain,
'const/realax/real_le' @ ( sk6 @ sk3 @ sk1 ) @ sk3,
inference(pattern_uni,[status(thm)],[8126:[bind(A,$thf( sk6 @ sk3 @ sk1 ))]]) ).
thf(8315,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ~ $true
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
| ( ( 'const/realax/real_le' @ ( sk6 @ sk3 @ sk1 ) @ sk3 )
!= ( 'const/realax/real_le' @ ( sk6 @ B @ A ) @ B ) ) ),
inference(paramod_ordered,[status(thm)],[8127,25]) ).
thf(8316,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( sk4 @ A )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ B )
| ( ( 'const/realax/real_le' @ ( sk6 @ sk3 @ sk1 ) @ sk3 )
!= ( 'const/realax/real_le' @ ( sk6 @ B @ A ) @ B ) ) ),
inference(simp,[status(thm)],[8315]) ).
thf(8317,plain,
( ~ ( sk4 @ sk1 )
| ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sk1 ) @ sk3 ) ),
inference(pattern_uni,[status(thm)],[8316:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(8566,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[8317,5841,2070]) ).
thf(8567,plain,
$false,
inference(simp,[status(thm)],[8566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA080^1 : 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
% 0.09/0.22 % Computer : n015.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 17:43:59 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 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
% 0.85/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/0.99 % [INFO] Parsing done (198ms).
% 1.15/1.01 % [INFO] Running in sequential loop mode.
% 1.97/1.41 % [INFO] eprover registered as external prover.
% 1.97/1.42 % [INFO] Scanning for conjecture ...
% 2.14/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.14/1.56 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.14/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.14/1.58 % [INFO] Type checking passed.
% 2.14/1.58 % [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 ...
% 30.90/8.33 % [INFO] Killing All external provers ...
% 30.90/8.34 % Time passed: 7968ms (effective reasoning time: 7317ms)
% 30.90/8.34 % 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)>
% 30.90/8.34 % Axioms used in derivation (2): thm/sets/SUP_, thm/realax/REAL_LE_TRANS_
% 30.90/8.34 % No. of inferences in proof: 101
% 30.90/8.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 7968 ms resp. 7317 ms w/o parsing
% 31.43/8.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 31.43/8.43 % [INFO] Killing All external provers ...
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