TSTP Solution File: ANA091^1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : ANA091^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:39:44 EDT 2024
% Result : Theorem 15.21s 3.64s
% Output : Refutation 15.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 61 ( 8 unt; 11 typ; 0 def)
% Number of atoms : 211 ( 36 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 423 ( 44 ~; 42 |; 14 &; 303 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 98 ( 0 ^ 88 !; 8 ?; 98 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf('\'type/realax/real\'_type',type,
'\'type/realax/real\'': $tType ).
thf('\'const/sets/inf\'_type',type,
'\'const/sets/inf\'': ( '\'type/realax/real\'' > $o ) > '\'type/realax/real\'' ).
thf('\'const/sets/IN\'_type',type,
'\'const/sets/IN\'':
!>[TA: $tType] : ( TA > ( TA > $o ) > $o ) ).
thf('\'const/sets/EMPTY\'_type',type,
'\'const/sets/EMPTY\'':
!>[TA: $tType] : ( TA > $o ) ).
thf('\'const/realax/real_le\'_type',type,
'\'const/realax/real_le\'': '\'type/realax/real\'' > '\'type/realax/real\'' > $o ).
thf(sk1_type,type,
sk1: '\'type/realax/real\'' > $o ).
thf(sk2_type,type,
sk2: '\'type/realax/real\'' ).
thf(sk3_type,type,
sk3: '\'type/realax/real\'' ).
thf(sk4_type,type,
sk4: '\'type/realax/real\'' ).
thf(sk5_type,type,
sk5: ( '\'type/realax/real\'' > $o ) > $o ).
thf(sk6_type,type,
sk6: '\'type/realax/real\'' > ( '\'type/realax/real\'' > $o ) > '\'type/realax/real\'' ).
thf(1,conjecture,
! [A: '\'type/realax/real\'' > $o,B: '\'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 )
& ! [E: '\'type/realax/real\''] :
( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
=> ( '\'const/realax/real_le\'' @ B @ E ) ) )
=> ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_INF_LE_') ).
thf(2,negated_conjecture,
~ ! [A: '\'type/realax/real\'' > $o,B: '\'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 )
& ! [E: '\'type/realax/real\''] :
( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
=> ( '\'const/realax/real_le\'' @ B @ E ) ) )
=> ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: '\'type/realax/real\'' > $o,B: '\'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 )
& ! [E: '\'type/realax/real\''] :
( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
=> ( '\'const/realax/real_le\'' @ B @ E ) ) )
=> ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
~ ! [A: '\'type/realax/real\'' > $o,B: '\'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 )
& ! [E: '\'type/realax/real\''] :
( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
=> ( '\'const/realax/real_le\'' @ B @ E ) ) )
=> ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ C ) ),
inference(miniscope,[status(thm)],[6]) ).
thf(11,plain,
'\'const/sets/IN\'' @ '\'type/realax/real\'' @ sk4 @ sk1,
inference(cnf,[status(esa)],[7]) ).
thf(5,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/sandbox2/benchmark/theBenchmark.p','thm/sets/INF_') ).
thf(17,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)],[5]) ).
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\'' @ ( sk6 @ B @ A ) @ A )
| ( sk5 @ A ) ),
inference(cnf,[status(esa)],[17]) ).
thf(25,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
( ( A
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ B @ A ) @ A )
| ( sk5 @ A ) ),
inference(lifteq,[status(thm)],[22]) ).
thf(18,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
( ~ ( sk5 @ A )
| ~ ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A )
| ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ B ) ),
inference(cnf,[status(esa)],[17]) ).
thf(26,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
( ~ ( sk5 @ A )
| ~ ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A )
| ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ B ) ),
inference(simp,[status(thm)],[18]) ).
thf(31,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
( ~ ( sk5 @ A )
| ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ B )
| ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ sk4 @ sk1 )
!= ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[11,26]) ).
thf(32,plain,
( ~ ( sk5 @ sk1 )
| ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ sk4 ) ),
inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(10,plain,
'\'const/realax/real_le\'' @ sk4 @ sk3,
inference(cnf,[status(esa)],[7]) ).
thf(3,axiom,
! [A: '\'type/realax/real\'',B: '\'type/realax/real\'',C: '\'type/realax/real\''] :
( ( ( '\'const/realax/real_le\'' @ A @ B )
& ( '\'const/realax/real_le\'' @ B @ C ) )
=> ( '\'const/realax/real_le\'' @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/REAL_LE_TRANS_') ).
thf(12,plain,
! [A: '\'type/realax/real\'',B: '\'type/realax/real\'',C: '\'type/realax/real\''] :
( ( ( '\'const/realax/real_le\'' @ A @ B )
& ( '\'const/realax/real_le\'' @ B @ C ) )
=> ( '\'const/realax/real_le\'' @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
! [C: '\'type/realax/real\'',B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ~ ( '\'const/realax/real_le\'' @ A @ B )
| ~ ( '\'const/realax/real_le\'' @ B @ C )
| ( '\'const/realax/real_le\'' @ A @ C ) ),
inference(cnf,[status(esa)],[12]) ).
thf(8,plain,
~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ sk3 ),
inference(cnf,[status(esa)],[7]) ).
thf(75,plain,
! [C: '\'type/realax/real\'',B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ~ ( '\'const/realax/real_le\'' @ A @ B )
| ~ ( '\'const/realax/real_le\'' @ B @ C )
| ( ( '\'const/realax/real_le\'' @ A @ C )
!= ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[13,8]) ).
thf(76,plain,
! [A: '\'type/realax/real\''] :
( ~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ A )
| ~ ( '\'const/realax/real_le\'' @ A @ sk3 ) ),
inference(pattern_uni,[status(thm)],[75:[bind(A,$thf( '\'const/sets/inf\'' @ sk1 )),bind(B,$thf( B )),bind(C,$thf( sk3 ))]]) ).
thf(91,plain,
! [A: '\'type/realax/real\''] :
( ~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ A )
| ~ ( '\'const/realax/real_le\'' @ A @ sk3 ) ),
inference(simp,[status(thm)],[76]) ).
thf(97,plain,
! [A: '\'type/realax/real\''] :
( ~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ A )
| ( ( '\'const/realax/real_le\'' @ sk4 @ sk3 )
!= ( '\'const/realax/real_le\'' @ A @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[10,91]) ).
thf(98,plain,
~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ sk4 ),
inference(pattern_uni,[status(thm)],[97:[bind(A,$thf( sk4 ))]]) ).
thf(185,plain,
( ~ ( sk5 @ sk1 )
| $false ),
inference(rewrite,[status(thm)],[32,98]) ).
thf(186,plain,
~ ( sk5 @ sk1 ),
inference(simp,[status(thm)],[185]) ).
thf(588,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
( ( A
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ B @ A ) @ A )
| ( ( sk5 @ A )
!= ( sk5 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[25,186]) ).
thf(589,plain,
! [A: '\'type/realax/real\''] :
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ A @ sk1 ) @ sk1 ) ),
inference(pattern_uni,[status(thm)],[588:[bind(A,$thf( sk1 )),bind(B,$thf( B ))]]) ).
thf(597,plain,
! [A: '\'type/realax/real\''] :
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ A @ sk1 ) @ sk1 ) ),
inference(simp,[status(thm)],[589]) ).
thf(9,plain,
! [A: '\'type/realax/real\''] :
( ~ ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ A @ sk1 )
| ( '\'const/realax/real_le\'' @ sk2 @ A ) ),
inference(cnf,[status(esa)],[7]) ).
thf(1792,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( '\'const/realax/real_le\'' @ sk2 @ B )
| ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ A @ sk1 ) @ sk1 )
!= ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[597,9]) ).
thf(1793,plain,
! [A: '\'type/realax/real\''] :
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( '\'const/realax/real_le\'' @ sk2 @ ( sk6 @ A @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[1792:[bind(A,$thf( C )),bind(B,$thf( sk6 @ C @ sk1 ))]]) ).
thf(1853,plain,
! [A: '\'type/realax/real\''] :
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( '\'const/realax/real_le\'' @ sk2 @ ( sk6 @ A @ sk1 ) ) ),
inference(simp,[status(thm)],[1793]) ).
thf(21,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
( ( A
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ~ ( '\'const/realax/real_le\'' @ B @ ( sk6 @ B @ A ) )
| ( sk5 @ A ) ),
inference(cnf,[status(esa)],[17]) ).
thf(24,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
( ( A
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ~ ( '\'const/realax/real_le\'' @ B @ ( sk6 @ B @ A ) )
| ( sk5 @ A ) ),
inference(lifteq,[status(thm)],[21]) ).
thf(2087,plain,
! [C: '\'type/realax/real\'',B: '\'type/realax/real\'' > $o,A: '\'type/realax/real\''] :
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( B
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( sk5 @ B )
| ( ( '\'const/realax/real_le\'' @ sk2 @ ( sk6 @ A @ sk1 ) )
!= ( '\'const/realax/real_le\'' @ C @ ( sk6 @ C @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[1853,24]) ).
thf(2088,plain,
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( sk5 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[2087:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( sk2 ))]]) ).
thf(2156,plain,
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| ( sk5 @ sk1 ) ),
inference(simp,[status(thm)],[2088]) ).
thf(2173,plain,
( ( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
| $false ),
inference(rewrite,[status(thm)],[2156,186]) ).
thf(2174,plain,
( sk1
= ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) ),
inference(simp,[status(thm)],[2173]) ).
thf(2177,plain,
'\'const/sets/IN\'' @ '\'type/realax/real\'' @ sk4 @ ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ),
inference(rewrite,[status(thm)],[11,2174]) ).
thf(4,axiom,
! [TA: $tType,A: TA > $o] :
( ( ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A ) )
= ( A
!= ( '\'const/sets/EMPTY\'' @ TA ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/MEMBER_NOT_EMPTY_') ).
thf(14,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)],[4]) ).
thf(15,plain,
! [TA: $tType,A: TA > $o] :
( ( ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A ) )
= ( A
!= ( '\'const/sets/EMPTY\'' @ TA ) ) ),
inference(cnf,[status(esa)],[14]) ).
thf(16,plain,
! [TA: $tType,A: TA > $o] :
( ( ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A ) )
= ( A
!= ( '\'const/sets/EMPTY\'' @ TA ) ) ),
inference(lifteq,[status(thm)],[15]) ).
thf(38,plain,
! [TA: $tType,A: TA > $o] :
( ~ ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A )
| ( A
!= ( '\'const/sets/EMPTY\'' @ TA ) ) ),
inference(bool_ext,[status(thm)],[16]) ).
thf(40,plain,
! [TA: $tType,B: TA,A: TA > $o] :
( ( A
!= ( '\'const/sets/EMPTY\'' @ TA ) )
| ~ ( '\'const/sets/IN\'' @ TA @ B @ A ) ),
inference(cnf,[status(esa)],[38]) ).
thf(41,plain,
! [TA: $tType,B: TA,A: TA > $o] :
( ( A
!= ( '\'const/sets/EMPTY\'' @ TA ) )
| ~ ( '\'const/sets/IN\'' @ TA @ B @ A ) ),
inference(lifteq,[status(thm)],[40]) ).
thf(42,plain,
! [TA: $tType,A: TA] :
~ ( '\'const/sets/IN\'' @ TA @ A @ ( '\'const/sets/EMPTY\'' @ TA ) ),
inference(simp,[status(thm)],[41]) ).
thf(2226,plain,
$false,
inference(rewrite,[status(thm)],[2177,42]) ).
thf(2227,plain,
$false,
inference(simp,[status(thm)],[2226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ANA091^1 : TPTP v8.2.0. Released v7.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 07:46:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.98/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.12/0.98 % [INFO] Parsing done (118ms).
% 1.12/0.99 % [INFO] Running in sequential loop mode.
% 1.66/1.21 % [INFO] nitpick registered as external prover.
% 1.66/1.22 % [INFO] Scanning for conjecture ...
% 1.76/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 1.94/1.31 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.94/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 1.94/1.33 % [INFO] Type checking passed.
% 1.94/1.34 % [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 ...
% 15.21/3.64 % [INFO] Killing All external provers ...
% 15.21/3.64 % Time passed: 3128ms (effective reasoning time: 2646ms)
% 15.21/3.64 % 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)>
% 15.21/3.64 % Axioms used in derivation (3): thm/sets/INF_, thm/realax/REAL_LE_TRANS_, thm/sets/MEMBER_NOT_EMPTY_
% 15.21/3.64 % No. of inferences in proof: 50
% 15.21/3.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3128 ms resp. 2646 ms w/o parsing
% 15.21/3.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.21/3.70 % [INFO] Killing All external provers ...
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