%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ANA069^1 : 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 : n011.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 10.05s 3.89s
% Output : Refutation 10.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 10 unt; 0 typ; 3 def)
% Number of atoms : 253 ( 43 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 516 ( 74 ~; 53 |; 27 &; 351 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 62 ( 0 ^; 48 !; 11 ?; 62 :)
% ( 0 !>; 0 ?*; 0 @-; 3 @+)
% 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/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_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(sk5_decl,type,
sk5: 'type/realax/real' ).
thf(sk1_def,definition,
( sk1
= ( @+[A: 'type/realax/real' > $o] :
~ ( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
& ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
=> ! [B: 'type/realax/real'] :
( ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
= ( ? [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
& ( 'const/realax/real_le' @ B @ C ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: 'type/realax/real'] :
( ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) )
!= ( ? [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 )
& ( 'const/realax/real_le' @ A @ B ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
& ( 'const/realax/real_le' @ sk2 @ A ) ) ) ) ).
thf(1,conjecture,
! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
& ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
=> ( ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
= ( ? [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
& ( 'const/realax/real_le' @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/REAL_LE_SUP_FINITE_') ).
thf(2,negated_conjecture,
~ ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
& ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
=> ( ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
= ( ? [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
& ( 'const/realax/real_le' @ B @ C ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
& ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
=> ( ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
= ( ? [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
& ( 'const/realax/real_le' @ B @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
~ ! [A: 'type/realax/real' > $o] :
( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
& ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
=> ! [B: 'type/realax/real'] :
( ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
= ( ? [C: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
& ( 'const/realax/real_le' @ B @ C ) ) ) ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(7,plain,
( ( 'const/sets/FINITE' @ 'type/realax/real' @ sk1 )
& ( sk1
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
& ( ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) )
!= ( ? [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
& ( 'const/realax/real_le' @ sk2 @ A ) ) ) ) ),
inference(cnf,[status(esa)],[6]) ).
thf(10,plain,
( ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) )
!= ( ? [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
& ( 'const/realax/real_le' @ sk2 @ A ) ) ) ),
inference(cnfConj,[status(thm)],[7]) ).
thf(12,plain,
( ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) )
!= ( ? [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
& ( 'const/realax/real_le' @ sk2 @ A ) ) ) ),
inference(lifteq,[status(thm)],[10]) ).
thf(24,plain,
( ~ ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) )
| ~ ? [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
& ( 'const/realax/real_le' @ sk2 @ A ) ) ),
inference(bool_ext,[status(thm)],[12]) ).
thf(26,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ~ ( 'const/realax/real_le' @ sk2 @ A ) ),
inference(cnf,[status(esa)],[24]) ).
thf(30,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
| ( ( 'const/realax/real_le' @ sk2 @ A )
!= ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[26]) ).
thf(31,plain,
( ~ ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ sk1 ) @ sk1 ) ),
inference(pattern_uni,[status(thm)],[30:[bind(A,$thf( 'const/sets/sup' @ sk1 ))]]) ).
thf(4,axiom,
! [A: 'type/realax/real' > $o] :
( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
& ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
=> ( ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ A ) @ A )
& ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/SUP_FINITE_') ).
thf(15,plain,
! [A: 'type/realax/real' > $o] :
( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
& ( A
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
=> ( ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ A ) @ A )
& ! [B: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
=> ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ A ) @ A ) )
& ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(17,plain,
! [A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ A ) @ A ) ),
inference(cnfConj,[status(thm)],[16]) ).
thf(19,plain,
! [A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ A ) @ A ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(9,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)],[9]) ).
thf(267,plain,
! [A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ A ) @ A )
| ( ( 'const/sets/EMPTY' @ 'type/realax/real' )
!= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[19,11]) ).
thf(268,plain,
! [A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ A ) @ A )
| ( A != sk1 ) ),
inference(simp,[status(thm)],[267]) ).
thf(269,plain,
( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ sk1 )
| ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ sk1 ) @ sk1 ) ),
inference(pattern_uni,[status(thm)],[268:[bind(A,$thf( sk1 ))]]) ).
thf(8,plain,
'const/sets/FINITE' @ 'type/realax/real' @ sk1,
inference(cnfConj,[status(thm)],[7]) ).
thf(305,plain,
( ~ $true
| ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ sk1 ) @ sk1 ) ),
inference(rewrite,[status(thm)],[269,8]) ).
thf(306,plain,
'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/sup' @ sk1 ) @ sk1,
inference(simp,[status(thm)],[305]) ).
thf(311,plain,
( ~ ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) )
| ~ $true ),
inference(rewrite,[status(thm)],[31,306]) ).
thf(312,plain,
~ ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) ),
inference(simp,[status(thm)],[311]) ).
thf(348,plain,
? [A: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
& ( 'const/realax/real_le' @ sk2 @ A ) ),
inference(rewrite,[status(thm)],[12,312]) ).
thf(359,plain,
( ( 'const/sets/IN' @ 'type/realax/real' @ sk5 @ sk1 )
& ( 'const/realax/real_le' @ sk2 @ sk5 ) ),
inference(cnf,[status(esa)],[348]) ).
thf(360,plain,
'const/sets/IN' @ 'type/realax/real' @ sk5 @ sk1,
inference(cnfConj,[status(thm)],[359]) ).
thf(18,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) ),
inference(cnfConj,[status(thm)],[16]) ).
thf(20,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) ) ),
inference(lifteq,[status(thm)],[18]) ).
thf(392,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ~ $true
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sk5 @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[360,20]) ).
thf(393,plain,
! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
( ( A
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
| ( 'const/realax/real_le' @ B @ ( 'const/sets/sup' @ A ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sk5 @ sk1 )
!= ( 'const/sets/IN' @ 'type/realax/real' @ B @ A ) ) ),
inference(simp,[status(thm)],[392]) ).
thf(394,plain,
( ( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ sk1 )
| ( 'const/realax/real_le' @ sk5 @ ( 'const/sets/sup' @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[393:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(361,plain,
'const/realax/real_le' @ sk2 @ sk5,
inference(cnfConj,[status(thm)],[359]) ).
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/sandbox/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(351,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 )
| ~ $true
| ( ( 'const/realax/real_le' @ A @ C )
!= ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[14,312]) ).
thf(352,plain,
! [C: 'type/realax/real',B: 'type/realax/real',A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ A @ B )
| ~ ( 'const/realax/real_le' @ B @ C )
| ( ( 'const/realax/real_le' @ A @ C )
!= ( 'const/realax/real_le' @ sk2 @ ( 'const/sets/sup' @ sk1 ) ) ) ),
inference(simp,[status(thm)],[351]) ).
thf(353,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ sk2 @ A )
| ~ ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[352:[bind(A,$thf( sk2 )),bind(B,$thf( B )),bind(C,$thf( 'const/sets/sup' @ sk1 ))]]) ).
thf(357,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ sk2 @ A )
| ~ ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) ) ),
inference(simp,[status(thm)],[353]) ).
thf(525,plain,
! [A: 'type/realax/real'] :
( ~ $true
| ~ ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) )
| ( ( 'const/realax/real_le' @ sk2 @ sk5 )
!= ( 'const/realax/real_le' @ sk2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[361,357]) ).
thf(526,plain,
! [A: 'type/realax/real'] :
( ~ ( 'const/realax/real_le' @ A @ ( 'const/sets/sup' @ sk1 ) )
| ( ( 'const/realax/real_le' @ sk2 @ sk5 )
!= ( 'const/realax/real_le' @ sk2 @ A ) ) ),
inference(simp,[status(thm)],[525]) ).
thf(527,plain,
~ ( 'const/realax/real_le' @ sk5 @ ( 'const/sets/sup' @ sk1 ) ),
inference(pattern_uni,[status(thm)],[526:[bind(A,$thf( sk5 ))]]) ).
thf(839,plain,
( ( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ $true
| $false ),
inference(rewrite,[status(thm)],[394,8,527]) ).
thf(840,plain,
( sk1
= ( 'const/sets/EMPTY' @ 'type/realax/real' ) ),
inference(simp,[status(thm)],[839]) ).
thf(841,plain,
$false,
inference(simplifyReflect,[status(thm)],[840,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA069^1 : 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
% 0.12/0.22 % Computer : n011.cluster.edu
% 0.12/0.22 % Model : x86_64 x86_64
% 0.12/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.22 % Memory : 8046.5625MB
% 0.12/0.22 % OS : Linux 6.8.0-71-generic
% 0.12/0.22 % CPULimit : 300
% 0.12/0.22 % WCLimit : 300
% 0.12/0.22 % DateTime : Tue Sep 29 17:39:16 UTC 2026
% 0.12/0.22 % CPUTime :
% 0.12/0.22 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
% 1.05/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.00 % [INFO] Parsing done (201ms).
% 1.24/1.02 % [INFO] Running in sequential loop mode.
% 2.04/1.43 % [INFO] eprover registered as external prover.
% 2.04/1.43 % [INFO] Scanning for conjecture ...
% 2.24/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.24/1.57 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.24/1.58 % [INFO] Problem is higher-order (TPTP THF).
% 2.24/1.59 % [INFO] Type checking passed.
% 2.24/1.59 % [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 ...
% 10.05/3.88 % [INFO] Killing All external provers ...
% 10.05/3.89 % Time passed: 3516ms (effective reasoning time: 2860ms)
% 10.05/3.89 % 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)>
% 10.05/3.89 % Axioms used in derivation (2): thm/sets/SUP_FINITE_, thm/realax/REAL_LE_TRANS_
% 10.05/3.89 % No. of inferences in proof: 48
% 10.05/3.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3516 ms resp. 2860 ms w/o parsing
% 10.54/3.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.54/3.96 % [INFO] Killing All external provers ...
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