%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV508^1 : 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 : n014.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 08:37:23 AM UTC 2026
% Result : Theorem 97.89s 33.37s
% Output : Refutation 98.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 12 unt; 0 typ; 5 def)
% Number of atoms : 456 ( 56 equ; 0 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 1643 ( 138 ~; 125 |; 22 &;1339 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 10 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 92 ( 92 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 2 con; 0-4 aty)
% Number of variables : 235 ( 72 ^; 151 !; 7 ?; 235 :)
% ( 0 !>; 0 ?*; 0 @-; 5 @+)
% Comments :
%------------------------------------------------------------------------------
thf('type/realax/real_type',type,
'type/realax/real': $tType ).
thf(skt1_type,type,
skt1: $tType ).
thf('const/sets/IN_decl',type,
'const/sets/IN':
!>[TA: $tType] : ( TA > ( TA > $o ) > $o ) ).
thf('const/sets/FINITE_decl',type,
'const/sets/FINITE':
!>[TA: $tType] : ( ( TA > $o ) > $o ) ).
thf('const/sets/EMPTY_decl',type,
'const/sets/EMPTY':
!>[TA: $tType] : ( TA > $o ) ).
thf('const/realax/real_lt_decl',type,
'const/realax/real_lt': 'type/realax/real' > 'type/realax/real' > $o ).
thf('const/realax/real_le_decl',type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf('const/iterate/sum_decl',type,
'const/iterate/sum':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(sk1_decl,type,
sk1: skt1 > 'type/realax/real' ).
thf(sk2_decl,type,
sk2: skt1 > 'type/realax/real' ).
thf(sk3_decl,type,
sk3: skt1 > $o ).
thf(sk4_decl,type,
sk4:
!>[TA: $tType] : ( ( TA > $o ) > ( TA > 'type/realax/real' ) > ( TA > 'type/realax/real' ) > TA ) ).
thf(sk6_decl,type,
sk6:
!>[TA: $tType] : ( ( TA > $o ) > TA ) ).
thf(sk1_def,definition,
( sk1
= ( @+[A: skt1 > 'type/realax/real'] :
~ ! [B: skt1 > 'type/realax/real',C: skt1 > $o] :
( ( ( 'const/sets/FINITE' @ skt1 @ C )
& ( C
!= ( 'const/sets/EMPTY' @ skt1 ) )
& ! [D: skt1] :
( ( 'const/sets/IN' @ skt1 @ D @ C )
=> ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ C @ A ) @ ( 'const/iterate/sum' @ skt1 @ C @ B ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: skt1 > 'type/realax/real'] :
~ ! [B: skt1 > $o] :
( ( ( 'const/sets/FINITE' @ skt1 @ B )
& ( B
!= ( 'const/sets/EMPTY' @ skt1 ) )
& ! [C: skt1] :
( ( 'const/sets/IN' @ skt1 @ C @ B )
=> ( 'const/realax/real_lt' @ ( sk1 @ C ) @ ( A @ C ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ B @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ B @ A ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: skt1 > $o] :
~ ( ( ( 'const/sets/FINITE' @ skt1 @ A )
& ( A
!= ( 'const/sets/EMPTY' @ skt1 ) )
& ! [B: skt1] :
( ( 'const/sets/IN' @ skt1 @ B @ A )
=> ( 'const/realax/real_lt' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ A @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ A @ sk2 ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( ^ [TA: $tType,A: TA > $o,B: TA > 'type/realax/real',C: TA > 'type/realax/real'] :
@+[D: TA] :
~ ( ( 'const/sets/IN' @ TA @ D @ A )
=> ( 'const/realax/real_le' @ ( C @ D ) @ ( B @ D ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [TA: $tType,A: TA > $o] :
@+[B: TA] : ( 'const/sets/IN' @ TA @ B @ A ) ) ) ).
thf(6,axiom,
! [TA: $tType,A: TA > $o] :
( ( ? [B: TA] : ( 'const/sets/IN' @ TA @ B @ A ) )
= ( A
!= ( 'const/sets/EMPTY' @ TA ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/MEMBER_NOT_EMPTY_') ).
thf(23,plain,
! [TA: $tType,A: TA > $o] :
( ( ? [B: TA] : ( 'const/sets/IN' @ TA @ B @ A ) )
= ( A
!= ( 'const/sets/EMPTY' @ TA ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(24,plain,
! [TA: $tType,A: TA > $o] :
( ( ? [B: TA] : ( 'const/sets/IN' @ TA @ B @ A ) )
= ( A
!= ( 'const/sets/EMPTY' @ TA ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(25,plain,
! [TA: $tType,A: TA > $o] :
( ( ? [B: TA] : ( 'const/sets/IN' @ TA @ B @ A ) )
= ( A
!= ( 'const/sets/EMPTY' @ TA ) ) ),
inference(lifteq,[status(thm)],[24]) ).
thf(59,plain,
! [TA: $tType,A: TA > $o] :
( ? [B: TA] : ( 'const/sets/IN' @ TA @ B @ A )
| ~ ( ( A
!= ( 'const/sets/EMPTY' @ TA ) ) ) ),
inference(bool_ext,[status(thm)],[25]) ).
thf(63,plain,
! [TA: $tType,A: TA > $o] :
( ( 'const/sets/IN' @ TA @ ( sk6 @ TA @ A ) @ A )
| ( A
= ( 'const/sets/EMPTY' @ TA ) ) ),
inference(cnf,[status(esa)],[59]) ).
thf(64,plain,
! [TA: $tType,A: TA > $o] :
( ( A
= ( 'const/sets/EMPTY' @ TA ) )
| ( 'const/sets/IN' @ TA @ ( sk6 @ TA @ A ) @ A ) ),
inference(lifteq,[status(thm)],[63]) ).
thf(1,conjecture,
! [TA: $tType,A: TA > 'type/realax/real',B: TA > 'type/realax/real',C: TA > $o] :
( ( ( 'const/sets/FINITE' @ TA @ C )
& ( C
!= ( 'const/sets/EMPTY' @ TA ) )
& ! [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
=> ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_LT_ALL_') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,A: TA > 'type/realax/real',B: TA > 'type/realax/real',C: TA > $o] :
( ( ( 'const/sets/FINITE' @ TA @ C )
& ( C
!= ( 'const/sets/EMPTY' @ TA ) )
& ! [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
=> ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ! [TA: $tType,A: TA > 'type/realax/real',B: TA > 'type/realax/real',C: TA > $o] :
( ( ( 'const/sets/FINITE' @ TA @ C )
& ( C
!= ( 'const/sets/EMPTY' @ TA ) )
& ! [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
=> ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
! [A: skt1] :
( ( 'const/sets/FINITE' @ skt1 @ sk3 )
& ( sk3
!= ( 'const/sets/EMPTY' @ skt1 ) )
& ( ~ ( 'const/sets/IN' @ skt1 @ A @ sk3 )
| ( 'const/realax/real_lt' @ ( sk1 @ A ) @ ( sk2 @ A ) ) )
& ~ ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk2 ) ) ),
inference(cnf,[status(esa)],[7]) ).
thf(10,plain,
( sk3
!= ( 'const/sets/EMPTY' @ skt1 ) ),
inference(cnfConj,[status(thm)],[8]) ).
thf(13,plain,
( sk3
!= ( 'const/sets/EMPTY' @ skt1 ) ),
inference(lifteq,[status(thm)],[10]) ).
thf(77,plain,
! [A: skt1 > $o] :
( ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ A ) @ A )
| ( ( 'const/sets/EMPTY' @ skt1 )
!= ( 'const/sets/EMPTY' @ skt1 ) )
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[64,13]) ).
thf(78,plain,
! [A: skt1 > $o] :
( ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ A ) @ A )
| ( A != sk3 ) ),
inference(simp,[status(thm)],[77]) ).
thf(79,plain,
'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3,
inference(pattern_uni,[status(thm)],[78:[bind(A,$thf( sk3 ))]]) ).
thf(4,axiom,
! [TA: $tType,A: TA > 'type/realax/real',B: TA > 'type/realax/real',C: TA > $o] :
( ( ( 'const/sets/FINITE' @ TA @ C )
& ! [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
=> ( 'const/realax/real_le' @ ( A @ D ) @ ( B @ D ) ) )
& ? [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
& ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_LT_') ).
thf(17,plain,
! [TA: $tType,A: TA > 'type/realax/real',B: TA > 'type/realax/real',C: TA > $o] :
( ( ( 'const/sets/FINITE' @ TA @ C )
& ! [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
=> ( 'const/realax/real_le' @ ( A @ D ) @ ( B @ D ) ) )
& ? [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
& ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,plain,
! [TA: $tType,D: TA,C: TA > $o,B: TA > 'type/realax/real',A: TA > 'type/realax/real'] :
( ( ~ ( 'const/sets/FINITE' @ TA @ C )
| ( 'const/sets/IN' @ TA @ ( sk4 @ TA @ C @ B @ A ) @ C )
| ~ ( 'const/sets/IN' @ TA @ D @ C )
| ~ ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) )
& ( ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ ( 'const/realax/real_le' @ ( A @ ( sk4 @ TA @ C @ B @ A ) ) @ ( B @ ( sk4 @ TA @ C @ B @ A ) ) )
| ~ ( 'const/sets/IN' @ TA @ D @ C )
| ~ ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) ) ),
inference(cnf,[status(esa)],[17]) ).
thf(19,plain,
! [TA: $tType,D: TA,C: TA > $o,B: TA > 'type/realax/real',A: TA > 'type/realax/real'] :
( ~ ( 'const/sets/FINITE' @ TA @ C )
| ( 'const/sets/IN' @ TA @ ( sk4 @ TA @ C @ B @ A ) @ C )
| ~ ( 'const/sets/IN' @ TA @ D @ C )
| ~ ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) ),
inference(cnfConj,[status(thm)],[18]) ).
thf(207,plain,
! [TA: $tType,D: TA,C: TA > $o,B: TA > 'type/realax/real',A: TA > 'type/realax/real'] :
( ~ ( 'const/sets/FINITE' @ TA @ C )
| ( 'const/sets/IN' @ TA @ ( sk4 @ TA @ C @ B @ A ) @ C )
| ~ $true
| ~ ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) )
| ( ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3 )
!= ( 'const/sets/IN' @ TA @ D @ C ) ) ),
inference(paramod_ordered,[status(thm)],[79,19]) ).
thf(208,plain,
! [TA: $tType,D: TA,C: TA > $o,B: TA > 'type/realax/real',A: TA > 'type/realax/real'] :
( ~ ( 'const/sets/FINITE' @ TA @ C )
| ( 'const/sets/IN' @ TA @ ( sk4 @ TA @ C @ B @ A ) @ C )
| ~ ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) )
| ( ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3 )
!= ( 'const/sets/IN' @ TA @ D @ C ) ) ),
inference(simp,[status(thm)],[207]) ).
thf(209,plain,
! [B: skt1 > 'type/realax/real',A: skt1 > 'type/realax/real'] :
( ~ ( 'const/sets/FINITE' @ skt1 @ sk3 )
| ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ B @ A ) @ sk3 )
| ~ ( 'const/realax/real_lt' @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ ( B @ ( sk6 @ skt1 @ sk3 ) ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ A ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ B ) ) ),
inference(pattern_uni,[status(thm)],[208:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk3 )),bind(D,$thf( sk6 @ skt1 @ sk3 )),bind_type(TA,$thf( skt1 ))]]) ).
thf(9,plain,
'const/sets/FINITE' @ skt1 @ sk3,
inference(cnfConj,[status(thm)],[8]) ).
thf(19744,plain,
! [B: skt1 > 'type/realax/real',A: skt1 > 'type/realax/real'] :
( ~ $true
| ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ B @ A ) @ sk3 )
| ~ ( 'const/realax/real_lt' @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ ( B @ ( sk6 @ skt1 @ sk3 ) ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ A ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ B ) ) ),
inference(rewrite,[status(thm)],[209,9]) ).
thf(19745,plain,
! [B: skt1 > 'type/realax/real',A: skt1 > 'type/realax/real'] :
( ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ B @ A ) @ sk3 )
| ~ ( 'const/realax/real_lt' @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ ( B @ ( sk6 @ skt1 @ sk3 ) ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ A ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ B ) ) ),
inference(simp,[status(thm)],[19744]) ).
thf(12,plain,
~ ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk2 ) ),
inference(cnfConj,[status(thm)],[8]) ).
thf(19796,plain,
! [B: skt1 > 'type/realax/real',A: skt1 > 'type/realax/real'] :
( ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ B @ A ) @ sk3 )
| ~ ( 'const/realax/real_lt' @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ ( B @ ( sk6 @ skt1 @ sk3 ) ) )
| ~ $true
| ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ A ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ B ) )
!= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[19745,12]) ).
thf(19797,plain,
! [B: skt1 > 'type/realax/real',A: skt1 > 'type/realax/real'] :
( ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ B @ A ) @ sk3 )
| ~ ( 'const/realax/real_lt' @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ ( B @ ( sk6 @ skt1 @ sk3 ) ) )
| ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ A ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ B ) )
!= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk2 ) ) ) ),
inference(simp,[status(thm)],[19796]) ).
thf(19798,plain,
( ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) @ sk3 )
| ~ ( 'const/realax/real_lt' @ ( sk1 @ ( sk6 @ skt1 @ sk3 ) ) @ ( sk2 @ ( sk6 @ skt1 @ sk3 ) ) ) ),
inference(pattern_uni,[status(thm)],[19797:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(11,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ sk3 )
| ( 'const/realax/real_lt' @ ( sk1 @ A ) @ ( sk2 @ A ) ) ),
inference(cnfConj,[status(thm)],[8]) ).
thf(122,plain,
! [A: skt1] :
( ~ $true
| ( 'const/realax/real_lt' @ ( sk1 @ A ) @ ( sk2 @ A ) )
| ( ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3 )
!= ( 'const/sets/IN' @ skt1 @ A @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[79,11]) ).
thf(123,plain,
! [A: skt1] :
( ( 'const/realax/real_lt' @ ( sk1 @ A ) @ ( sk2 @ A ) )
| ( ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3 )
!= ( 'const/sets/IN' @ skt1 @ A @ sk3 ) ) ),
inference(simp,[status(thm)],[122]) ).
thf(124,plain,
'const/realax/real_lt' @ ( sk1 @ ( sk6 @ skt1 @ sk3 ) ) @ ( sk2 @ ( sk6 @ skt1 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[123:[bind(A,$thf( sk6 @ skt1 @ sk3 ))]]) ).
thf(20355,plain,
( ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) @ sk3 )
| ~ $true ),
inference(rewrite,[status(thm)],[19798,124]) ).
thf(20356,plain,
'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) @ sk3,
inference(simp,[status(thm)],[20355]) ).
thf(5,axiom,
! [A: 'type/realax/real',B: 'type/realax/real'] :
( ( 'const/realax/real_lt' @ A @ B )
=> ( 'const/realax/real_le' @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/realarith/REAL_LT_IMP_LE_') ).
thf(21,plain,
! [A: 'type/realax/real',B: 'type/realax/real'] :
( ( 'const/realax/real_lt' @ A @ B )
=> ( 'const/realax/real_le' @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(22,plain,
! [B: 'type/realax/real',A: 'type/realax/real'] :
( ~ ( 'const/realax/real_lt' @ A @ B )
| ( 'const/realax/real_le' @ A @ B ) ),
inference(cnf,[status(esa)],[21]) ).
thf(316,plain,
! [C: 'type/realax/real',B: 'type/realax/real',A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ sk3 )
| ~ $true
| ( 'const/realax/real_le' @ B @ C )
| ( ( 'const/realax/real_lt' @ ( sk1 @ A ) @ ( sk2 @ A ) )
!= ( 'const/realax/real_lt' @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[11,22]) ).
thf(317,plain,
! [C: 'type/realax/real',B: 'type/realax/real',A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ sk3 )
| ( 'const/realax/real_le' @ B @ C )
| ( ( 'const/realax/real_lt' @ ( sk1 @ A ) @ ( sk2 @ A ) )
!= ( 'const/realax/real_lt' @ B @ C ) ) ),
inference(simp,[status(thm)],[316]) ).
thf(318,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ sk3 )
| ( 'const/realax/real_le' @ ( sk1 @ A ) @ ( sk2 @ A ) ) ),
inference(pattern_uni,[status(thm)],[317:[bind(A,$thf( E )),bind(B,$thf( sk1 @ E )),bind(C,$thf( sk2 @ E ))]]) ).
thf(337,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ sk3 )
| ( 'const/realax/real_le' @ ( sk1 @ A ) @ ( sk2 @ A ) ) ),
inference(simp,[status(thm)],[318]) ).
thf(20484,plain,
! [A: skt1] :
( ~ $true
| ( 'const/realax/real_le' @ ( sk1 @ A ) @ ( sk2 @ A ) )
| ( ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) @ sk3 )
!= ( 'const/sets/IN' @ skt1 @ A @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[20356,337]) ).
thf(20485,plain,
! [A: skt1] :
( ( 'const/realax/real_le' @ ( sk1 @ A ) @ ( sk2 @ A ) )
| ( ( 'const/sets/IN' @ skt1 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) @ sk3 )
!= ( 'const/sets/IN' @ skt1 @ A @ sk3 ) ) ),
inference(simp,[status(thm)],[20484]) ).
thf(20486,plain,
'const/realax/real_le' @ ( sk1 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) ) @ ( sk2 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[20485:[bind(A,$thf( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ))]]) ).
thf(20,plain,
! [TA: $tType,D: TA,C: TA > $o,B: TA > 'type/realax/real',A: TA > 'type/realax/real'] :
( ~ ( 'const/sets/FINITE' @ TA @ C )
| ~ ( 'const/realax/real_le' @ ( A @ ( sk4 @ TA @ C @ B @ A ) ) @ ( B @ ( sk4 @ TA @ C @ B @ A ) ) )
| ~ ( 'const/sets/IN' @ TA @ D @ C )
| ~ ( 'const/realax/real_lt' @ ( A @ D ) @ ( B @ D ) )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ C @ A ) @ ( 'const/iterate/sum' @ TA @ C @ B ) ) ),
inference(cnfConj,[status(thm)],[18]) ).
thf(38,plain,
! [TA: $tType,E: TA,D: TA > $o,C: TA > 'type/realax/real',B: TA > 'type/realax/real',A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ sk3 )
| ~ ( 'const/sets/FINITE' @ TA @ D )
| ~ ( 'const/realax/real_le' @ ( B @ ( sk4 @ TA @ D @ C @ B ) ) @ ( C @ ( sk4 @ TA @ D @ C @ B ) ) )
| ~ ( 'const/sets/IN' @ TA @ E @ D )
| ~ $true
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ D @ B ) @ ( 'const/iterate/sum' @ TA @ D @ C ) )
| ( ( 'const/realax/real_lt' @ ( sk1 @ A ) @ ( sk2 @ A ) )
!= ( 'const/realax/real_lt' @ ( B @ E ) @ ( C @ E ) ) ) ),
inference(paramod_ordered,[status(thm)],[11,20]) ).
thf(39,plain,
! [TA: $tType,E: TA,D: TA > $o,C: TA > 'type/realax/real',B: TA > 'type/realax/real',A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ sk3 )
| ~ ( 'const/sets/FINITE' @ TA @ D )
| ~ ( 'const/realax/real_le' @ ( B @ ( sk4 @ TA @ D @ C @ B ) ) @ ( C @ ( sk4 @ TA @ D @ C @ B ) ) )
| ~ ( 'const/sets/IN' @ TA @ E @ D )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ TA @ D @ B ) @ ( 'const/iterate/sum' @ TA @ D @ C ) )
| ( ( 'const/realax/real_lt' @ ( sk1 @ A ) @ ( sk2 @ A ) )
!= ( 'const/realax/real_lt' @ ( B @ E ) @ ( C @ E ) ) ) ),
inference(simp,[status(thm)],[38]) ).
thf(42,plain,
! [TA: $tType,D: TA > skt1,C: TA > skt1,B: TA,A: TA > $o] :
( ~ ( 'const/sets/IN' @ skt1 @ ( C @ B ) @ sk3 )
| ~ ( 'const/sets/FINITE' @ TA @ A )
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( D
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) )
@ ( sk2
@ ( C
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) ) )
| ~ ( 'const/sets/IN' @ TA @ B @ A )
| ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) )
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) ) ) )
| ( ( C @ B )
!= ( D @ B ) ) ),
inference(pre_uni,[status(thm)],[39:[bind(A,$thf( F @ E )),bind(B,$thf( ^ [G: TA] : ( sk1 @ ( G @ G ) ) )),bind(C,$thf( ^ [G: TA] : ( sk2 @ ( F @ G ) ) ))]]) ).
thf(43,plain,
! [TA: $tType,D: TA > skt1,C: TA > skt1,B: TA,A: TA > $o] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) )
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) ) ) )
| ~ ( 'const/sets/IN' @ TA @ B @ A )
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( D
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) )
@ ( sk2
@ ( C
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ A )
| ~ ( 'const/sets/IN' @ skt1 @ ( C @ B ) @ sk3 )
| ( ( C @ B )
!= ( D @ B ) ) ),
inference(pre_uni,[status(thm)],[42:[]]) ).
thf(45,plain,
! [TA: $tType,D: TA > skt1,C: TA > skt1,B: TA,A: TA > $o] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) )
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) ) ) )
| ~ ( 'const/sets/IN' @ TA @ B @ A )
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( D
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) )
@ ( sk2
@ ( C
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ A )
| ~ ( 'const/sets/IN' @ skt1 @ ( C @ B ) @ sk3 )
| ( ( C @ B )
!= ( D @ B ) ) ),
inference(simp,[status(thm)],[43]) ).
thf(145,plain,
! [TA: $tType,D: TA > skt1,C: TA > skt1,B: TA,A: TA > $o] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) )
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) ) ) )
| ~ $true
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( D
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) )
@ ( sk2
@ ( C
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ A )
| ~ ( 'const/sets/IN' @ skt1 @ ( C @ B ) @ sk3 )
| ( ( C @ B )
!= ( D @ B ) )
| ( ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3 )
!= ( 'const/sets/IN' @ TA @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[79,45]) ).
thf(146,plain,
! [TA: $tType,D: TA > skt1,C: TA > skt1,B: TA,A: TA > $o] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) )
@ ( 'const/iterate/sum' @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) ) ) )
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( D
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) )
@ ( sk2
@ ( C
@ ( sk4 @ TA @ A
@ ^ [E: TA] : ( sk2 @ ( C @ E ) )
@ ^ [E: TA] : ( sk1 @ ( D @ E ) ) ) ) ) )
| ~ ( 'const/sets/FINITE' @ TA @ A )
| ~ ( 'const/sets/IN' @ skt1 @ ( C @ B ) @ sk3 )
| ( ( C @ B )
!= ( D @ B ) )
| ( ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3 )
!= ( 'const/sets/IN' @ TA @ B @ A ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(147,plain,
! [B: skt1 > skt1,A: skt1 > skt1] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) )
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) ) ) )
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( B
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) )
@ ( sk2
@ ( A
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) ) )
| ~ ( 'const/sets/FINITE' @ skt1 @ sk3 )
| ~ ( 'const/sets/IN' @ skt1 @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ sk3 )
| ( ( A @ ( sk6 @ skt1 @ sk3 ) )
!= ( B @ ( sk6 @ skt1 @ sk3 ) ) ) ),
inference(pattern_uni,[status(thm)],[146:[bind(A,$thf( sk3 )),bind(B,$thf( sk6 @ skt1 @ sk3 )),bind(C,$thf( C )),bind(D,$thf( D )),bind_type(TA,$thf( skt1 ))]]) ).
thf(171,plain,
! [B: skt1 > skt1,A: skt1 > skt1] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) )
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) ) ) )
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( B
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) )
@ ( sk2
@ ( A
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) ) )
| ~ ( 'const/sets/FINITE' @ skt1 @ sk3 )
| ~ ( 'const/sets/IN' @ skt1 @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ sk3 )
| ( ( A @ ( sk6 @ skt1 @ sk3 ) )
!= ( B @ ( sk6 @ skt1 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[147]) ).
thf(7859,plain,
! [B: skt1 > skt1,A: skt1 > skt1] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) )
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) ) ) )
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( B
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) )
@ ( sk2
@ ( A
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) ) )
| ~ $true
| ~ ( 'const/sets/IN' @ skt1 @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ sk3 )
| ( ( A @ ( sk6 @ skt1 @ sk3 ) )
!= ( B @ ( sk6 @ skt1 @ sk3 ) ) ) ),
inference(rewrite,[status(thm)],[171,9]) ).
thf(7860,plain,
! [B: skt1 > skt1,A: skt1 > skt1] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) )
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) ) ) )
| ~ ( 'const/realax/real_le'
@ ( sk1
@ ( B
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) )
@ ( sk2
@ ( A
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) ) )
| ~ ( 'const/sets/IN' @ skt1 @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ sk3 )
| ( ( A @ ( sk6 @ skt1 @ sk3 ) )
!= ( B @ ( sk6 @ skt1 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[7859]) ).
thf(20960,plain,
! [B: skt1 > skt1,A: skt1 > skt1] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) )
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) ) ) )
| ~ $true
| ~ ( 'const/sets/IN' @ skt1 @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ sk3 )
| ( ( A @ ( sk6 @ skt1 @ sk3 ) )
!= ( B @ ( sk6 @ skt1 @ sk3 ) ) )
| ( ( 'const/realax/real_le'
@ ( sk1
@ ( B
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) )
@ ( sk2
@ ( A
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) ) )
!= ( 'const/realax/real_le' @ ( sk1 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) ) @ ( sk2 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[20486,7860]) ).
thf(20961,plain,
! [B: skt1 > skt1,A: skt1 > skt1] :
( ( 'const/realax/real_lt'
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) )
@ ( 'const/iterate/sum' @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) ) ) )
| ~ ( 'const/sets/IN' @ skt1 @ ( A @ ( sk6 @ skt1 @ sk3 ) ) @ sk3 )
| ( ( A @ ( sk6 @ skt1 @ sk3 ) )
!= ( B @ ( sk6 @ skt1 @ sk3 ) ) )
| ( ( 'const/realax/real_le'
@ ( sk1
@ ( B
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) )
@ ( sk2
@ ( A
@ ( sk4 @ skt1 @ sk3
@ ^ [C: skt1] : ( sk2 @ ( A @ C ) )
@ ^ [C: skt1] : ( sk1 @ ( B @ C ) ) ) ) ) )
!= ( 'const/realax/real_le' @ ( sk1 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) ) @ ( sk2 @ ( sk4 @ skt1 @ sk3 @ sk2 @ sk1 ) ) ) ) ),
inference(simp,[status(thm)],[20960]) ).
thf(21003,plain,
( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk2 ) )
| ~ ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3 )
| ( ( sk6 @ skt1 @ sk3 )
!= ( sk6 @ skt1 @ sk3 ) ) ),
inference(pre_uni,[status(thm)],[20961:[bind(A,$thf( ^ [C: skt1] : C )),bind(B,$thf( ^ [C: skt1] : C ))]]) ).
thf(21004,plain,
( ~ ( 'const/sets/IN' @ skt1 @ ( sk6 @ skt1 @ sk3 ) @ sk3 )
| ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk1 ) @ ( 'const/iterate/sum' @ skt1 @ sk3 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[21003:[]]) ).
thf(21495,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[21004,12,79]) ).
thf(21496,plain,
$false,
inference(simp,[status(thm)],[21495]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV508^1 : 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
% 0.11/0.22 % Computer : n014.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 15:54:44 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 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
% 0.84/0.78 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.98 % [INFO] Parsing done (192ms).
% 1.15/0.99 % [INFO] Running in sequential loop mode.
% 1.85/1.38 % [INFO] eprover registered as external prover.
% 1.85/1.39 % [INFO] Scanning for conjecture ...
% 2.04/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.19/1.53 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.19/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.19/1.55 % [INFO] Type checking passed.
% 2.19/1.55 % [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 ...
% 97.89/33.36 % [INFO] Killing All external provers ...
% 97.89/33.37 % Time passed: 33005ms (effective reasoning time: 32367ms)
% 97.89/33.37 % 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)>
% 97.89/33.37 % Axioms used in derivation (3): thm/sets/MEMBER_NOT_EMPTY_, thm/iterate/SUM_LT_, thm/realarith/REAL_LT_IMP_LE_
% 97.89/33.37 % No. of inferences in proof: 64
% 97.89/33.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 33005 ms resp. 32367 ms w/o parsing
% 98.03/33.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 98.03/33.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------