TSTP Solution File: PUZ008-3 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ008-3 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.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 : 600s
% DateTime : Mon Jul 18 18:19:16 EDT 2022
% Result : Unsatisfiable 0.45s 0.65s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 28
% Syntax : Number of formulae : 179 ( 92 unt; 11 typ; 0 def)
% Number of atoms : 1120 ( 274 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 4948 ( 318 ~; 404 |; 0 &;4226 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 561 ( 0 ^ 561 !; 0 ?; 561 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_achievable,type,
achievable: $i > $i > $i > $o ).
thf(tp_boatoneast,type,
boatoneast: $i ).
thf(tp_boatonwest,type,
boatonwest: $i ).
thf(tp_c,type,
c: $i > $i ).
thf(tp_east,type,
east: $i > $i > $i ).
thf(tp_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_m,type,
m: $i > $i ).
thf(tp_n0,type,
n0: $i ).
thf(tp_s,type,
s: $i > $i ).
thf(tp_safe,type,
safe: $i > $i > $o ).
thf(tp_west,type,
west: $i > $i > $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) )
| ~ ( safe @ ( s @ X ) @ ( s @ Y ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_and_cannibal_east_to_west) ).
thf(2,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ Z ) @ ( s @ W ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_and_cannibal_west_to_east) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) )
| ~ ( safe @ ( s @ ( s @ X ) ) @ Y )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_missionaries_east_to_west) ).
thf(4,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ ( s @ Z ) ) @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_missionaries_west_to_east) ).
thf(5,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) )
| ~ ( safe @ ( s @ X ) @ Y )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_east_to_west) ).
thf(6,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ Z ) @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_west_to_east) ).
thf(7,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) )
| ~ ( safe @ X @ ( s @ ( s @ Y ) ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_cannibals_east_to_west) ).
thf(8,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ Z @ ( s @ ( s @ W ) ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_cannibals_west_to_east) ).
thf(9,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) )
| ~ ( safe @ X @ ( s @ Y ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cannibal_east_to_west) ).
thf(10,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ Z @ ( s @ W ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cannibal_west_to_east) ).
thf(11,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ ( s @ X ) @ ( s @ Y ) )
| ~ ( greater_or_equal @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',great_eq_recursive) ).
thf(12,axiom,
! [X: $i] : ( greater_or_equal @ X @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',great_eq_base) ).
thf(13,axiom,
! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( safe @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_or_more_missionaries_is_safe) ).
thf(14,axiom,
! [X: $i] : ( safe @ n0 @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_missionaries_is_safe) ).
thf(15,axiom,
achievable @ ( west @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_on_west_bank) ).
thf(16,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(17,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[16]) ).
thf(18,negated_conjecture,
! [X: $i] :
~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ X @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_can_get_to_east_bank) ).
thf(19,plain,
$false = $false,
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) )
| ~ ( safe @ ( s @ X ) @ ( s @ Y ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(21,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ Z ) @ ( s @ W ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(22,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) )
| ~ ( safe @ ( s @ ( s @ X ) ) @ Y )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ ( s @ Z ) ) @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) )
| ~ ( safe @ ( s @ X ) @ Y )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ Z ) @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) )
| ~ ( safe @ X @ ( s @ ( s @ Y ) ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ Z @ ( s @ ( s @ W ) ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) )
| ~ ( safe @ X @ ( s @ Y ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ Z @ ( s @ W ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ ( s @ X ) @ ( s @ Y ) )
| ~ ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(31,plain,
( ( ! [X: $i] : ( greater_or_equal @ X @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( safe @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(33,plain,
( ( ! [X: $i] : ( safe @ n0 @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(34,plain,
( ( achievable @ ( west @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(35,plain,
( ( ! [X: $i] :
~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ X @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(36,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(37,plain,
( ( ! [X: $i] :
~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ X @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(38,plain,
( ( achievable @ ( west @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(39,plain,
( ( ! [X: $i] : ( safe @ n0 @ X ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( safe @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(41,plain,
( ( ! [X: $i] : ( greater_or_equal @ X @ n0 ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ ( s @ X ) @ ( s @ Y ) )
| ~ ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ Z @ ( s @ W ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) )
| ~ ( safe @ X @ ( s @ Y ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ Z @ ( s @ ( s @ W ) ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) )
| ~ ( safe @ X @ ( s @ ( s @ Y ) ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ Z ) @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) )
| ~ ( safe @ ( s @ X ) @ Y )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ ( s @ Z ) ) @ W )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) )
| ~ ( safe @ ( s @ ( s @ X ) ) @ Y )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
| ~ ( safe @ X @ Y )
| ~ ( safe @ ( s @ Z ) @ ( s @ W ) )
| ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) )
| ~ ( safe @ ( s @ X ) @ ( s @ Y ) )
| ~ ( safe @ Z @ W )
| ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(53,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(54,plain,
! [SV1: $i] :
( ( ~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ SV1 @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(55,plain,
! [SV2: $i] :
( ( safe @ n0 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(56,plain,
! [SV3: $i] :
( ( ! [SY47: $i] :
( ~ ( greater_or_equal @ SV3 @ SY47 )
| ( safe @ SV3 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(57,plain,
! [SV4: $i] :
( ( greater_or_equal @ SV4 @ n0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(58,plain,
! [SV5: $i] :
( ( ! [SY48: $i] :
( ( greater_or_equal @ ( s @ SV5 ) @ ( s @ SY48 ) )
| ~ ( greater_or_equal @ SV5 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(59,plain,
! [SV6: $i] :
( ( ! [SY49: $i,SY50: $i,SY51: $i] :
( ~ ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SY49 ) ) ) @ boatonwest @ ( east @ ( m @ SY50 ) @ ( c @ SY51 ) ) )
| ~ ( safe @ SV6 @ SY49 )
| ~ ( safe @ SY50 @ ( s @ SY51 ) )
| ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SY49 ) ) @ boatoneast @ ( east @ ( m @ SY50 ) @ ( c @ ( s @ SY51 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(60,plain,
! [SV7: $i] :
( ( ! [SY52: $i,SY53: $i,SY54: $i] :
( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SY52 ) ) @ boatoneast @ ( east @ ( m @ SY53 ) @ ( c @ ( s @ SY54 ) ) ) )
| ~ ( safe @ SV7 @ ( s @ SY52 ) )
| ~ ( safe @ SY53 @ SY54 )
| ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SY52 ) ) ) @ boatonwest @ ( east @ ( m @ SY53 ) @ ( c @ SY54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(61,plain,
! [SV8: $i] :
( ( ! [SY55: $i,SY56: $i,SY57: $i] :
( ~ ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SY55 ) ) ) ) @ boatonwest @ ( east @ ( m @ SY56 ) @ ( c @ SY57 ) ) )
| ~ ( safe @ SV8 @ SY55 )
| ~ ( safe @ SY56 @ ( s @ ( s @ SY57 ) ) )
| ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SY55 ) ) @ boatoneast @ ( east @ ( m @ SY56 ) @ ( c @ ( s @ ( s @ SY57 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(62,plain,
! [SV9: $i] :
( ( ! [SY58: $i,SY59: $i,SY60: $i] :
( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SY58 ) ) @ boatoneast @ ( east @ ( m @ SY59 ) @ ( c @ ( s @ ( s @ SY60 ) ) ) ) )
| ~ ( safe @ SV9 @ ( s @ ( s @ SY58 ) ) )
| ~ ( safe @ SY59 @ SY60 )
| ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SY58 ) ) ) ) @ boatonwest @ ( east @ ( m @ SY59 ) @ ( c @ SY60 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(63,plain,
! [SV10: $i] :
( ( ! [SY61: $i,SY62: $i,SY63: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SY61 ) ) @ boatonwest @ ( east @ ( m @ SY62 ) @ ( c @ SY63 ) ) )
| ~ ( safe @ SV10 @ SY61 )
| ~ ( safe @ ( s @ SY62 ) @ SY63 )
| ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SY61 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY62 ) ) @ ( c @ SY63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(64,plain,
! [SV11: $i] :
( ( ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SY64 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY65 ) ) @ ( c @ SY66 ) ) )
| ~ ( safe @ ( s @ SV11 ) @ SY64 )
| ~ ( safe @ SY65 @ SY66 )
| ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SY64 ) ) @ boatonwest @ ( east @ ( m @ SY65 ) @ ( c @ SY66 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(65,plain,
! [SV12: $i] :
( ( ! [SY67: $i,SY68: $i,SY69: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SY67 ) ) @ boatonwest @ ( east @ ( m @ SY68 ) @ ( c @ SY69 ) ) )
| ~ ( safe @ SV12 @ SY67 )
| ~ ( safe @ ( s @ ( s @ SY68 ) ) @ SY69 )
| ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SY67 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SY68 ) ) ) @ ( c @ SY69 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(66,plain,
! [SV13: $i] :
( ( ! [SY70: $i,SY71: $i,SY72: $i] :
( ~ ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SY70 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SY71 ) ) ) @ ( c @ SY72 ) ) )
| ~ ( safe @ ( s @ ( s @ SV13 ) ) @ SY70 )
| ~ ( safe @ SY71 @ SY72 )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SY70 ) ) @ boatonwest @ ( east @ ( m @ SY71 ) @ ( c @ SY72 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(67,plain,
! [SV14: $i] :
( ( ! [SY73: $i,SY74: $i,SY75: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SY73 ) ) ) @ boatonwest @ ( east @ ( m @ SY74 ) @ ( c @ SY75 ) ) )
| ~ ( safe @ SV14 @ SY73 )
| ~ ( safe @ ( s @ SY74 ) @ ( s @ SY75 ) )
| ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SY73 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY74 ) ) @ ( c @ ( s @ SY75 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(68,plain,
! [SV15: $i] :
( ( ! [SY76: $i,SY77: $i,SY78: $i] :
( ~ ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SY76 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY77 ) ) @ ( c @ ( s @ SY78 ) ) ) )
| ~ ( safe @ ( s @ SV15 ) @ ( s @ SY76 ) )
| ~ ( safe @ SY77 @ SY78 )
| ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SY76 ) ) ) @ boatonwest @ ( east @ ( m @ SY77 ) @ ( c @ SY78 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(69,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(70,plain,
! [SV1: $i] :
( ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ SV1 @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(71,plain,
! [SV16: $i,SV3: $i] :
( ( ~ ( greater_or_equal @ SV3 @ SV16 )
| ( safe @ SV3 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(72,plain,
! [SV17: $i,SV5: $i] :
( ( ( greater_or_equal @ ( s @ SV5 ) @ ( s @ SV17 ) )
| ~ ( greater_or_equal @ SV5 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(73,plain,
! [SV18: $i,SV6: $i] :
( ( ! [SY79: $i,SY80: $i] :
( ~ ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SY79 ) @ ( c @ SY80 ) ) )
| ~ ( safe @ SV6 @ SV18 )
| ~ ( safe @ SY79 @ ( s @ SY80 ) )
| ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SY79 ) @ ( c @ ( s @ SY80 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(74,plain,
! [SV19: $i,SV7: $i] :
( ( ! [SY81: $i,SY82: $i] :
( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SY81 ) @ ( c @ ( s @ SY82 ) ) ) )
| ~ ( safe @ SV7 @ ( s @ SV19 ) )
| ~ ( safe @ SY81 @ SY82 )
| ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SY81 ) @ ( c @ SY82 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(75,plain,
! [SV20: $i,SV8: $i] :
( ( ! [SY83: $i,SY84: $i] :
( ~ ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SY83 ) @ ( c @ SY84 ) ) )
| ~ ( safe @ SV8 @ SV20 )
| ~ ( safe @ SY83 @ ( s @ ( s @ SY84 ) ) )
| ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SY83 ) @ ( c @ ( s @ ( s @ SY84 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(76,plain,
! [SV21: $i,SV9: $i] :
( ( ! [SY85: $i,SY86: $i] :
( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SY85 ) @ ( c @ ( s @ ( s @ SY86 ) ) ) ) )
| ~ ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) )
| ~ ( safe @ SY85 @ SY86 )
| ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SY85 ) @ ( c @ SY86 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(77,plain,
! [SV22: $i,SV10: $i] :
( ( ! [SY87: $i,SY88: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SY87 ) @ ( c @ SY88 ) ) )
| ~ ( safe @ SV10 @ SV22 )
| ~ ( safe @ ( s @ SY87 ) @ SY88 )
| ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY87 ) ) @ ( c @ SY88 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(78,plain,
! [SV23: $i,SV11: $i] :
( ( ! [SY89: $i,SY90: $i] :
( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY89 ) ) @ ( c @ SY90 ) ) )
| ~ ( safe @ ( s @ SV11 ) @ SV23 )
| ~ ( safe @ SY89 @ SY90 )
| ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SY89 ) @ ( c @ SY90 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(79,plain,
! [SV24: $i,SV12: $i] :
( ( ! [SY91: $i,SY92: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SY91 ) @ ( c @ SY92 ) ) )
| ~ ( safe @ SV12 @ SV24 )
| ~ ( safe @ ( s @ ( s @ SY91 ) ) @ SY92 )
| ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SY91 ) ) ) @ ( c @ SY92 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(80,plain,
! [SV25: $i,SV13: $i] :
( ( ! [SY93: $i,SY94: $i] :
( ~ ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SY93 ) ) ) @ ( c @ SY94 ) ) )
| ~ ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 )
| ~ ( safe @ SY93 @ SY94 )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SY93 ) @ ( c @ SY94 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(81,plain,
! [SV26: $i,SV14: $i] :
( ( ! [SY95: $i,SY96: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SY95 ) @ ( c @ SY96 ) ) )
| ~ ( safe @ SV14 @ SV26 )
| ~ ( safe @ ( s @ SY95 ) @ ( s @ SY96 ) )
| ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY95 ) ) @ ( c @ ( s @ SY96 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(82,plain,
! [SV27: $i,SV15: $i] :
( ( ! [SY97: $i,SY98: $i] :
( ~ ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY97 ) ) @ ( c @ ( s @ SY98 ) ) ) )
| ~ ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) )
| ~ ( safe @ SY97 @ SY98 )
| ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SY97 ) @ ( c @ SY98 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(83,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( greater_or_equal @ SV3 @ SV16 ) )
= $true )
| ( ( safe @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV17: $i,SV5: $i] :
( ( ( greater_or_equal @ ( s @ SV5 ) @ ( s @ SV17 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV5 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(85,plain,
! [SV28: $i,SV18: $i,SV6: $i] :
( ( ! [SY99: $i] :
( ~ ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SV28 ) @ ( c @ SY99 ) ) )
| ~ ( safe @ SV6 @ SV18 )
| ~ ( safe @ SV28 @ ( s @ SY99 ) )
| ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV28 ) @ ( c @ ( s @ SY99 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV29: $i,SV19: $i,SV7: $i] :
( ( ! [SY100: $i] :
( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV29 ) @ ( c @ ( s @ SY100 ) ) ) )
| ~ ( safe @ SV7 @ ( s @ SV19 ) )
| ~ ( safe @ SV29 @ SY100 )
| ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SV29 ) @ ( c @ SY100 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV30: $i,SV20: $i,SV8: $i] :
( ( ! [SY101: $i] :
( ~ ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SY101 ) ) )
| ~ ( safe @ SV8 @ SV20 )
| ~ ( safe @ SV30 @ ( s @ ( s @ SY101 ) ) )
| ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ ( s @ SY101 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV31: $i,SV21: $i,SV9: $i] :
( ( ! [SY102: $i] :
( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ ( s @ SY102 ) ) ) ) )
| ~ ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) )
| ~ ( safe @ SV31 @ SY102 )
| ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SY102 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV32: $i,SV22: $i,SV10: $i] :
( ( ! [SY103: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SY103 ) ) )
| ~ ( safe @ SV10 @ SV22 )
| ~ ( safe @ ( s @ SV32 ) @ SY103 )
| ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV32 ) ) @ ( c @ SY103 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV33: $i,SV23: $i,SV11: $i] :
( ( ! [SY104: $i] :
( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV33 ) ) @ ( c @ SY104 ) ) )
| ~ ( safe @ ( s @ SV11 ) @ SV23 )
| ~ ( safe @ SV33 @ SY104 )
| ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SY104 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV34: $i,SV24: $i,SV12: $i] :
( ( ! [SY105: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SY105 ) ) )
| ~ ( safe @ SV12 @ SV24 )
| ~ ( safe @ ( s @ ( s @ SV34 ) ) @ SY105 )
| ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV34 ) ) ) @ ( c @ SY105 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV35: $i,SV25: $i,SV13: $i] :
( ( ! [SY106: $i] :
( ~ ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV35 ) ) ) @ ( c @ SY106 ) ) )
| ~ ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 )
| ~ ( safe @ SV35 @ SY106 )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SY106 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV36: $i,SV26: $i,SV14: $i] :
( ( ! [SY107: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SY107 ) ) )
| ~ ( safe @ SV14 @ SV26 )
| ~ ( safe @ ( s @ SV36 ) @ ( s @ SY107 ) )
| ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV36 ) ) @ ( c @ ( s @ SY107 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV37: $i,SV27: $i,SV15: $i] :
( ( ! [SY108: $i] :
( ~ ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV37 ) ) @ ( c @ ( s @ SY108 ) ) ) )
| ~ ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) )
| ~ ( safe @ SV37 @ SY108 )
| ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SY108 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV16: $i,SV3: $i] :
( ( ( greater_or_equal @ SV3 @ SV16 )
= $false )
| ( ( safe @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV17: $i,SV5: $i] :
( ( ( greater_or_equal @ SV5 @ SV17 )
= $false )
| ( ( greater_or_equal @ ( s @ SV5 ) @ ( s @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV38: $i,SV28: $i,SV18: $i,SV6: $i] :
( ( ~ ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SV28 ) @ ( c @ SV38 ) ) )
| ~ ( safe @ SV6 @ SV18 )
| ~ ( safe @ SV28 @ ( s @ SV38 ) )
| ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV28 ) @ ( c @ ( s @ SV38 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV39: $i,SV29: $i,SV19: $i,SV7: $i] :
( ( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV29 ) @ ( c @ ( s @ SV39 ) ) ) )
| ~ ( safe @ SV7 @ ( s @ SV19 ) )
| ~ ( safe @ SV29 @ SV39 )
| ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SV29 ) @ ( c @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV40: $i,SV30: $i,SV20: $i,SV8: $i] :
( ( ~ ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV40 ) ) )
| ~ ( safe @ SV8 @ SV20 )
| ~ ( safe @ SV30 @ ( s @ ( s @ SV40 ) ) )
| ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ ( s @ SV40 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV41: $i,SV31: $i,SV21: $i,SV9: $i] :
( ( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ ( s @ SV41 ) ) ) ) )
| ~ ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) )
| ~ ( safe @ SV31 @ SV41 )
| ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV42: $i,SV32: $i,SV22: $i,SV10: $i] :
( ( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV42 ) ) )
| ~ ( safe @ SV10 @ SV22 )
| ~ ( safe @ ( s @ SV32 ) @ SV42 )
| ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV32 ) ) @ ( c @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(102,plain,
! [SV43: $i,SV33: $i,SV23: $i,SV11: $i] :
( ( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV33 ) ) @ ( c @ SV43 ) ) )
| ~ ( safe @ ( s @ SV11 ) @ SV23 )
| ~ ( safe @ SV33 @ SV43 )
| ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(103,plain,
! [SV44: $i,SV34: $i,SV24: $i,SV12: $i] :
( ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV44 ) ) )
| ~ ( safe @ SV12 @ SV24 )
| ~ ( safe @ ( s @ ( s @ SV34 ) ) @ SV44 )
| ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV34 ) ) ) @ ( c @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(104,plain,
! [SV45: $i,SV35: $i,SV25: $i,SV13: $i] :
( ( ~ ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV35 ) ) ) @ ( c @ SV45 ) ) )
| ~ ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 )
| ~ ( safe @ SV35 @ SV45 )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV46: $i,SV36: $i,SV26: $i,SV14: $i] :
( ( ~ ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV46 ) ) )
| ~ ( safe @ SV14 @ SV26 )
| ~ ( safe @ ( s @ SV36 ) @ ( s @ SV46 ) )
| ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV36 ) ) @ ( c @ ( s @ SV46 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV47: $i,SV37: $i,SV27: $i,SV15: $i] :
( ( ~ ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV37 ) ) @ ( c @ ( s @ SV47 ) ) ) )
| ~ ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) )
| ~ ( safe @ SV37 @ SV47 )
| ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV38: $i,SV28: $i,SV18: $i,SV6: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SV28 ) @ ( c @ SV38 ) ) ) )
= $true )
| ( ( ~ ( safe @ SV6 @ SV18 )
| ~ ( safe @ SV28 @ ( s @ SV38 ) )
| ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV28 ) @ ( c @ ( s @ SV38 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV39: $i,SV29: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV29 ) @ ( c @ ( s @ SV39 ) ) ) ) )
= $true )
| ( ( ~ ( safe @ SV7 @ ( s @ SV19 ) )
| ~ ( safe @ SV29 @ SV39 )
| ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SV29 ) @ ( c @ SV39 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(109,plain,
! [SV40: $i,SV30: $i,SV20: $i,SV8: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV40 ) ) ) )
= $true )
| ( ( ~ ( safe @ SV8 @ SV20 )
| ~ ( safe @ SV30 @ ( s @ ( s @ SV40 ) ) )
| ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ ( s @ SV40 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(110,plain,
! [SV41: $i,SV31: $i,SV21: $i,SV9: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ ( s @ SV41 ) ) ) ) ) )
= $true )
| ( ( ~ ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) )
| ~ ( safe @ SV31 @ SV41 )
| ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV41 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV42: $i,SV32: $i,SV22: $i,SV10: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV42 ) ) ) )
= $true )
| ( ( ~ ( safe @ SV10 @ SV22 )
| ~ ( safe @ ( s @ SV32 ) @ SV42 )
| ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV32 ) ) @ ( c @ SV42 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(112,plain,
! [SV43: $i,SV33: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV33 ) ) @ ( c @ SV43 ) ) ) )
= $true )
| ( ( ~ ( safe @ ( s @ SV11 ) @ SV23 )
| ~ ( safe @ SV33 @ SV43 )
| ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV44: $i,SV34: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV44 ) ) ) )
= $true )
| ( ( ~ ( safe @ SV12 @ SV24 )
| ~ ( safe @ ( s @ ( s @ SV34 ) ) @ SV44 )
| ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV34 ) ) ) @ ( c @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV45: $i,SV35: $i,SV25: $i,SV13: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV35 ) ) ) @ ( c @ SV45 ) ) ) )
= $true )
| ( ( ~ ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 )
| ~ ( safe @ SV35 @ SV45 )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV46: $i,SV36: $i,SV26: $i,SV14: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV46 ) ) ) )
= $true )
| ( ( ~ ( safe @ SV14 @ SV26 )
| ~ ( safe @ ( s @ SV36 ) @ ( s @ SV46 ) )
| ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV36 ) ) @ ( c @ ( s @ SV46 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(116,plain,
! [SV47: $i,SV37: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV37 ) ) @ ( c @ ( s @ SV47 ) ) ) ) )
= $true )
| ( ( ~ ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) )
| ~ ( safe @ SV37 @ SV47 )
| ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(117,plain,
! [SV38: $i,SV28: $i,SV18: $i,SV6: $i] :
( ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SV28 ) @ ( c @ SV38 ) ) )
= $false )
| ( ( ~ ( safe @ SV6 @ SV18 )
| ~ ( safe @ SV28 @ ( s @ SV38 ) )
| ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV28 ) @ ( c @ ( s @ SV38 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(118,plain,
! [SV39: $i,SV29: $i,SV19: $i,SV7: $i] :
( ( ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV29 ) @ ( c @ ( s @ SV39 ) ) ) )
= $false )
| ( ( ~ ( safe @ SV7 @ ( s @ SV19 ) )
| ~ ( safe @ SV29 @ SV39 )
| ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SV29 ) @ ( c @ SV39 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(119,plain,
! [SV40: $i,SV30: $i,SV20: $i,SV8: $i] :
( ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV40 ) ) )
= $false )
| ( ( ~ ( safe @ SV8 @ SV20 )
| ~ ( safe @ SV30 @ ( s @ ( s @ SV40 ) ) )
| ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ ( s @ SV40 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(120,plain,
! [SV41: $i,SV31: $i,SV21: $i,SV9: $i] :
( ( ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ ( s @ SV41 ) ) ) ) )
= $false )
| ( ( ~ ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) )
| ~ ( safe @ SV31 @ SV41 )
| ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV41 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(121,plain,
! [SV42: $i,SV32: $i,SV22: $i,SV10: $i] :
( ( ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV42 ) ) )
= $false )
| ( ( ~ ( safe @ SV10 @ SV22 )
| ~ ( safe @ ( s @ SV32 ) @ SV42 )
| ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV32 ) ) @ ( c @ SV42 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(122,plain,
! [SV43: $i,SV33: $i,SV23: $i,SV11: $i] :
( ( ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV33 ) ) @ ( c @ SV43 ) ) )
= $false )
| ( ( ~ ( safe @ ( s @ SV11 ) @ SV23 )
| ~ ( safe @ SV33 @ SV43 )
| ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(123,plain,
! [SV44: $i,SV34: $i,SV24: $i,SV12: $i] :
( ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV44 ) ) )
= $false )
| ( ( ~ ( safe @ SV12 @ SV24 )
| ~ ( safe @ ( s @ ( s @ SV34 ) ) @ SV44 )
| ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV34 ) ) ) @ ( c @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(124,plain,
! [SV45: $i,SV35: $i,SV25: $i,SV13: $i] :
( ( ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV35 ) ) ) @ ( c @ SV45 ) ) )
= $false )
| ( ( ~ ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 )
| ~ ( safe @ SV35 @ SV45 )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(125,plain,
! [SV46: $i,SV36: $i,SV26: $i,SV14: $i] :
( ( ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV46 ) ) )
= $false )
| ( ( ~ ( safe @ SV14 @ SV26 )
| ~ ( safe @ ( s @ SV36 ) @ ( s @ SV46 ) )
| ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV36 ) ) @ ( c @ ( s @ SV46 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(126,plain,
! [SV47: $i,SV37: $i,SV27: $i,SV15: $i] :
( ( ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV37 ) ) @ ( c @ ( s @ SV47 ) ) ) )
= $false )
| ( ( ~ ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) )
| ~ ( safe @ SV37 @ SV47 )
| ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(127,plain,
! [SV38: $i,SV28: $i,SV18: $i,SV6: $i] :
( ( ( ~ ( safe @ SV6 @ SV18 ) )
= $true )
| ( ( ~ ( safe @ SV28 @ ( s @ SV38 ) )
| ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV28 ) @ ( c @ ( s @ SV38 ) ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SV28 ) @ ( c @ SV38 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(128,plain,
! [SV39: $i,SV29: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( safe @ SV7 @ ( s @ SV19 ) ) )
= $true )
| ( ( ~ ( safe @ SV29 @ SV39 )
| ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SV29 ) @ ( c @ SV39 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV29 ) @ ( c @ ( s @ SV39 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(129,plain,
! [SV40: $i,SV30: $i,SV20: $i,SV8: $i] :
( ( ( ~ ( safe @ SV8 @ SV20 ) )
= $true )
| ( ( ~ ( safe @ SV30 @ ( s @ ( s @ SV40 ) ) )
| ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ ( s @ SV40 ) ) ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV40 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(130,plain,
! [SV41: $i,SV31: $i,SV21: $i,SV9: $i] :
( ( ( ~ ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) ) )
= $true )
| ( ( ~ ( safe @ SV31 @ SV41 )
| ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV41 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ ( s @ SV41 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(131,plain,
! [SV42: $i,SV32: $i,SV22: $i,SV10: $i] :
( ( ( ~ ( safe @ SV10 @ SV22 ) )
= $true )
| ( ( ~ ( safe @ ( s @ SV32 ) @ SV42 )
| ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV32 ) ) @ ( c @ SV42 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV42 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(132,plain,
! [SV43: $i,SV33: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( safe @ ( s @ SV11 ) @ SV23 ) )
= $true )
| ( ( ~ ( safe @ SV33 @ SV43 )
| ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV43 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV33 ) ) @ ( c @ SV43 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(133,plain,
! [SV44: $i,SV34: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( safe @ SV12 @ SV24 ) )
= $true )
| ( ( ~ ( safe @ ( s @ ( s @ SV34 ) ) @ SV44 )
| ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV34 ) ) ) @ ( c @ SV44 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV44 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(134,plain,
! [SV45: $i,SV35: $i,SV25: $i,SV13: $i] :
( ( ( ~ ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 ) )
= $true )
| ( ( ~ ( safe @ SV35 @ SV45 )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV45 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV35 ) ) ) @ ( c @ SV45 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(135,plain,
! [SV46: $i,SV36: $i,SV26: $i,SV14: $i] :
( ( ( ~ ( safe @ SV14 @ SV26 ) )
= $true )
| ( ( ~ ( safe @ ( s @ SV36 ) @ ( s @ SV46 ) )
| ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV36 ) ) @ ( c @ ( s @ SV46 ) ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV46 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(136,plain,
! [SV47: $i,SV37: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) ) )
= $true )
| ( ( ~ ( safe @ SV37 @ SV47 )
| ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV47 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV37 ) ) @ ( c @ ( s @ SV47 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(137,plain,
! [SV38: $i,SV28: $i,SV18: $i,SV6: $i] :
( ( ( safe @ SV6 @ SV18 )
= $false )
| ( ( ~ ( safe @ SV28 @ ( s @ SV38 ) )
| ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV28 ) @ ( c @ ( s @ SV38 ) ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SV28 ) @ ( c @ SV38 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(138,plain,
! [SV39: $i,SV29: $i,SV19: $i,SV7: $i] :
( ( ( safe @ SV7 @ ( s @ SV19 ) )
= $false )
| ( ( ~ ( safe @ SV29 @ SV39 )
| ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SV29 ) @ ( c @ SV39 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV29 ) @ ( c @ ( s @ SV39 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(139,plain,
! [SV40: $i,SV30: $i,SV20: $i,SV8: $i] :
( ( ( safe @ SV8 @ SV20 )
= $false )
| ( ( ~ ( safe @ SV30 @ ( s @ ( s @ SV40 ) ) )
| ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ ( s @ SV40 ) ) ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV40 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(140,plain,
! [SV41: $i,SV31: $i,SV21: $i,SV9: $i] :
( ( ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) )
= $false )
| ( ( ~ ( safe @ SV31 @ SV41 )
| ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV41 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ ( s @ SV41 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(141,plain,
! [SV42: $i,SV32: $i,SV22: $i,SV10: $i] :
( ( ( safe @ SV10 @ SV22 )
= $false )
| ( ( ~ ( safe @ ( s @ SV32 ) @ SV42 )
| ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV32 ) ) @ ( c @ SV42 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV42 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(142,plain,
! [SV43: $i,SV33: $i,SV23: $i,SV11: $i] :
( ( ( safe @ ( s @ SV11 ) @ SV23 )
= $false )
| ( ( ~ ( safe @ SV33 @ SV43 )
| ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV43 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV33 ) ) @ ( c @ SV43 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(143,plain,
! [SV44: $i,SV34: $i,SV24: $i,SV12: $i] :
( ( ( safe @ SV12 @ SV24 )
= $false )
| ( ( ~ ( safe @ ( s @ ( s @ SV34 ) ) @ SV44 )
| ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV34 ) ) ) @ ( c @ SV44 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(144,plain,
! [SV45: $i,SV35: $i,SV25: $i,SV13: $i] :
( ( ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 )
= $false )
| ( ( ~ ( safe @ SV35 @ SV45 )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV45 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV35 ) ) ) @ ( c @ SV45 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(145,plain,
! [SV46: $i,SV36: $i,SV26: $i,SV14: $i] :
( ( ( safe @ SV14 @ SV26 )
= $false )
| ( ( ~ ( safe @ ( s @ SV36 ) @ ( s @ SV46 ) )
| ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV36 ) ) @ ( c @ ( s @ SV46 ) ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(146,plain,
! [SV47: $i,SV37: $i,SV27: $i,SV15: $i] :
( ( ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) )
= $false )
| ( ( ~ ( safe @ SV37 @ SV47 )
| ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV47 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV37 ) ) @ ( c @ ( s @ SV47 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(147,plain,
! [SV18: $i,SV6: $i,SV38: $i,SV28: $i] :
( ( ( ~ ( safe @ SV28 @ ( s @ SV38 ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV28 ) @ ( c @ ( s @ SV38 ) ) ) )
= $true )
| ( ( safe @ SV6 @ SV18 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SV28 ) @ ( c @ SV38 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(148,plain,
! [SV19: $i,SV7: $i,SV39: $i,SV29: $i] :
( ( ( ~ ( safe @ SV29 @ SV39 ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SV29 ) @ ( c @ SV39 ) ) )
= $true )
| ( ( safe @ SV7 @ ( s @ SV19 ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV29 ) @ ( c @ ( s @ SV39 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(149,plain,
! [SV20: $i,SV8: $i,SV40: $i,SV30: $i] :
( ( ( ~ ( safe @ SV30 @ ( s @ ( s @ SV40 ) ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ ( s @ SV40 ) ) ) ) )
= $true )
| ( ( safe @ SV8 @ SV20 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV40 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(150,plain,
! [SV21: $i,SV9: $i,SV41: $i,SV31: $i] :
( ( ( ~ ( safe @ SV31 @ SV41 ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV41 ) ) )
= $true )
| ( ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ ( s @ SV41 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(151,plain,
! [SV22: $i,SV10: $i,SV42: $i,SV32: $i] :
( ( ( ~ ( safe @ ( s @ SV32 ) @ SV42 ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV32 ) ) @ ( c @ SV42 ) ) )
= $true )
| ( ( safe @ SV10 @ SV22 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV42 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(152,plain,
! [SV23: $i,SV11: $i,SV43: $i,SV33: $i] :
( ( ( ~ ( safe @ SV33 @ SV43 ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV43 ) ) )
= $true )
| ( ( safe @ ( s @ SV11 ) @ SV23 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV33 ) ) @ ( c @ SV43 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(153,plain,
! [SV24: $i,SV12: $i,SV44: $i,SV34: $i] :
( ( ( ~ ( safe @ ( s @ ( s @ SV34 ) ) @ SV44 ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV34 ) ) ) @ ( c @ SV44 ) ) )
= $true )
| ( ( safe @ SV12 @ SV24 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV44 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(154,plain,
! [SV25: $i,SV13: $i,SV45: $i,SV35: $i] :
( ( ( ~ ( safe @ SV35 @ SV45 ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV45 ) ) )
= $true )
| ( ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV35 ) ) ) @ ( c @ SV45 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(155,plain,
! [SV26: $i,SV14: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( safe @ ( s @ SV36 ) @ ( s @ SV46 ) ) )
= $true )
| ( ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV36 ) ) @ ( c @ ( s @ SV46 ) ) ) )
= $true )
| ( ( safe @ SV14 @ SV26 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV46 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(156,plain,
! [SV27: $i,SV15: $i,SV47: $i,SV37: $i] :
( ( ( ~ ( safe @ SV37 @ SV47 ) )
= $true )
| ( ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV47 ) ) )
= $true )
| ( ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV37 ) ) @ ( c @ ( s @ SV47 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(157,plain,
! [SV18: $i,SV6: $i,SV38: $i,SV28: $i] :
( ( ( safe @ SV28 @ ( s @ SV38 ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV28 ) @ ( c @ ( s @ SV38 ) ) ) )
= $true )
| ( ( safe @ SV6 @ SV18 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ ( s @ SV18 ) ) ) @ boatonwest @ ( east @ ( m @ SV28 ) @ ( c @ SV38 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(158,plain,
! [SV19: $i,SV7: $i,SV39: $i,SV29: $i] :
( ( ( safe @ SV29 @ SV39 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ ( s @ SV19 ) ) ) @ boatonwest @ ( east @ ( m @ SV29 ) @ ( c @ SV39 ) ) )
= $true )
| ( ( safe @ SV7 @ ( s @ SV19 ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV29 ) @ ( c @ ( s @ SV39 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(159,plain,
! [SV20: $i,SV8: $i,SV40: $i,SV30: $i] :
( ( ( safe @ SV30 @ ( s @ ( s @ SV40 ) ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ ( s @ SV40 ) ) ) ) )
= $true )
| ( ( safe @ SV8 @ SV20 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ ( s @ ( s @ SV20 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV40 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(160,plain,
! [SV21: $i,SV9: $i,SV41: $i,SV31: $i] :
( ( ( safe @ SV31 @ SV41 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ ( s @ ( s @ SV21 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV41 ) ) )
= $true )
| ( ( safe @ SV9 @ ( s @ ( s @ SV21 ) ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ ( s @ SV41 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(161,plain,
! [SV22: $i,SV10: $i,SV42: $i,SV32: $i] :
( ( ( safe @ ( s @ SV32 ) @ SV42 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV32 ) ) @ ( c @ SV42 ) ) )
= $true )
| ( ( safe @ SV10 @ SV22 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV42 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(162,plain,
! [SV23: $i,SV11: $i,SV43: $i,SV33: $i] :
( ( ( safe @ SV33 @ SV43 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV43 ) ) )
= $true )
| ( ( safe @ ( s @ SV11 ) @ SV23 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV33 ) ) @ ( c @ SV43 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(163,plain,
! [SV24: $i,SV12: $i,SV44: $i,SV34: $i] :
( ( ( safe @ ( s @ ( s @ SV34 ) ) @ SV44 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV12 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV34 ) ) ) @ ( c @ SV44 ) ) )
= $true )
| ( ( safe @ SV12 @ SV24 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV12 ) ) ) @ ( c @ SV24 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(164,plain,
! [SV25: $i,SV13: $i,SV45: $i,SV35: $i] :
( ( ( safe @ SV35 @ SV45 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV13 ) ) ) @ ( c @ SV25 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV45 ) ) )
= $true )
| ( ( safe @ ( s @ ( s @ SV13 ) ) @ SV25 )
= $false )
| ( ( achievable @ ( west @ ( m @ SV13 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV35 ) ) ) @ ( c @ SV45 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV26: $i,SV14: $i,SV46: $i,SV36: $i] :
( ( ( safe @ ( s @ SV36 ) @ ( s @ SV46 ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV14 ) @ ( c @ SV26 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV36 ) ) @ ( c @ ( s @ SV46 ) ) ) )
= $true )
| ( ( safe @ SV14 @ SV26 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ SV14 ) ) @ ( c @ ( s @ SV26 ) ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(166,plain,
! [SV27: $i,SV15: $i,SV47: $i,SV37: $i] :
( ( ( safe @ SV37 @ SV47 )
= $false )
| ( ( achievable @ ( west @ ( m @ ( s @ SV15 ) ) @ ( c @ ( s @ SV27 ) ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV47 ) ) )
= $true )
| ( ( safe @ ( s @ SV15 ) @ ( s @ SV27 ) )
= $false )
| ( ( achievable @ ( west @ ( m @ SV15 ) @ ( c @ SV27 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV37 ) ) @ ( c @ ( s @ SV47 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(167,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,166,165,164,163,162,161,160,159,158,157,96,95,70,69,57,55]) ).
thf(168,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ008-3 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 01:15:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.38
% 0.12/0.38 No.of.Axioms: 16
% 0.12/0.38
% 0.12/0.38 Length.of.Defs: 0
% 0.12/0.38
% 0.12/0.38 Contains.Choice.Funs: false
% 0.18/0.42 (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:18,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.45/0.65
% 0.45/0.65 ********************************
% 0.45/0.65 * All subproblems solved! *
% 0.45/0.65 ********************************
% 0.45/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:167,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.45/0.65
% 0.45/0.65 %**** Beginning of derivation protocol ****
% 0.45/0.65 % SZS output start CNFRefutation
% See solution above
% 0.45/0.66
% 0.45/0.66 %**** End of derivation protocol ****
% 0.45/0.66 %**** no. of clauses in derivation: 168 ****
% 0.45/0.66 %**** clause counter: 167 ****
% 0.45/0.66
% 0.45/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:167,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------