%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 Oct 7 10:31:50 AM UTC 2026
% Result : Theorem 197.41s 33.63s
% Output : CNFRefutation 197.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 47
% Syntax : Number of formulae : 780 ( 516 unt; 0 typ; 0 def)
% Number of atoms : 4951 (1604 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 11644 (2074 ~;1719 |; 150 &;7643 @)
% ( 34 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 9 con; 0-9 aty)
% Number of variables : 3239 ( 0 ^;3235 !; 4 ?;3239 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_axis_compatible,type,
axis_compatible: $i > $i > $i > $i > $o ).
thf(tp_axis_conflict,type,
axis_conflict: $i > $i > $i > $i > $o ).
thf(tp_axis_subsumes,type,
axis_subsumes: $i > $i > $i > $i > $o ).
thf(tp_box2_compatible,type,
box2_compatible: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_box2_conflict,type,
box2_conflict: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_box_verdict,type,
box_verdict: $i > $i > $i ).
thf(tp_compatible,type,
compatible: $i ).
thf(tp_conflict,type,
conflict: $i ).
thf(tp_in_box2,type,
in_box2: $i > $i > $i > $i > $i > $i > $o ).
thf(tp_in_box3,type,
in_box3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_in_closed,type,
in_closed: $i > $i > $i > $o ).
thf(tp_in_lopen,type,
in_lopen: $i > $i > $i > $o ).
thf(tp_in_open,type,
in_open: $i > $i > $i > $o ).
thf(tp_in_ropen,type,
in_ropen: $i > $i > $i > $o ).
thf(tp_is_verdict,type,
is_verdict: $i > $o ).
thf(tp_leq,type,
leq: $i > $i > $o ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i > $i > $i > $i > $i ).
thf(tp_sK2_X,type,
sK2_X: $i > $i > $i > $i > $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i > $i > $i > $i ).
thf(tp_unknown,type,
unknown: $i ).
thf(tp_v0,type,
v0: $i ).
thf(tp_v400,type,
v400: $i ).
thf(tp_v600,type,
v600: $i ).
thf(tp_v800,type,
v800: $i ).
thf(tp_val,type,
val: $i > $o ).
thf(1,axiom,
( ( v0 != v400 )
& ( v0 != v600 )
& ( v0 != v800 )
& ( v400 != v600 )
& ( v400 != v800 )
& ( v600 != v800 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
thf(2,axiom,
less @ v600 @ v800,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
thf(3,axiom,
less @ v400 @ v800,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v800) ).
thf(4,axiom,
less @ v400 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v600) ).
thf(5,axiom,
less @ v0 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
thf(6,axiom,
less @ v0 @ v400,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
thf(7,axiom,
val @ v800,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v800) ).
thf(8,axiom,
val @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v600) ).
thf(9,axiom,
val @ v400,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v400) ).
thf(10,axiom,
val @ v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v0) ).
thf(11,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shape_open) ).
thf(12,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shape_lopen) ).
thf(13,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shape_ropen) ).
thf(14,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shape_closed) ).
thf(15,axiom,
! [X: $i,V: $i] :
( ( in_closed @ X @ V @ V )
<=> ( X = V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shape_point) ).
thf(16,axiom,
! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i,C2: $i,D2: $i] :
( ( box2_conflict @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
<=> ( ( axis_conflict @ A1 @ B1 @ C1 @ D1 )
| ( axis_conflict @ A2 @ B2 @ C2 @ D2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box2_conflict) ).
thf(17,axiom,
! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i,C2: $i,D2: $i] :
( ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
<=> ( ( axis_compatible @ A1 @ B1 @ C1 @ D1 )
& ( axis_compatible @ A2 @ B2 @ C2 @ D2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box2_overlap) ).
thf(18,axiom,
! [X1: $i,X2: $i,X3: $i,A1: $i,B1: $i,A2: $i,B2: $i,A3: $i,B3: $i] :
( ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 )
& ( in_closed @ X3 @ A3 @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_box3) ).
thf(19,axiom,
! [X1: $i,X2: $i,A1: $i,B1: $i,A2: $i,B2: $i] :
( ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_box2) ).
thf(20,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 ) )
=> ( ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_verdict_total) ).
thf(21,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = unknown )
| ( V2 = unknown ) )
& ( V1 != conflict )
& ( V2 != conflict ) )
=> ( ( box_verdict @ V1 @ V2 )
= unknown ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_unknown) ).
thf(22,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( V1 = compatible )
& ( V2 = compatible ) )
=> ( ( box_verdict @ V1 @ V2 )
= compatible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_compatible) ).
thf(23,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = conflict )
| ( V2 = conflict ) ) )
=> ( ( box_verdict @ V1 @ V2 )
= conflict ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_conflict) ).
thf(24,axiom,
! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdict_enum) ).
thf(25,axiom,
compatible != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
thf(26,axiom,
conflict != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
thf(27,axiom,
conflict != compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
thf(28,axiom,
is_verdict @ unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_is_verdict) ).
thf(29,axiom,
is_verdict @ compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible_is_verdict) ).
thf(30,axiom,
is_verdict @ conflict,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conflict_is_verdict) ).
thf(31,axiom,
! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ! [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
=> ( in_closed @ X @ I2lo @ I2hi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_subsumes_def) ).
thf(32,axiom,
! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ? [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
& ( in_closed @ X @ I2lo @ I2hi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_compatible_def) ).
thf(33,axiom,
! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ~ ? [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
& ( in_closed @ X @ I2lo @ I2hi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_conflict_def) ).
thf(34,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_open) ).
thf(35,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_ropen) ).
thf(36,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_lopen) ).
thf(37,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_closed) ).
thf(38,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_trans) ).
thf(39,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_leq_trans) ).
thf(40,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_less_trans) ).
thf(41,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
thf(42,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).
thf(43,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
thf(44,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).
thf(45,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive) ).
thf(46,axiom,
! [X: $i] :
~ ( less @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
thf(47,conjecture,
box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl624) ).
thf(48,negated_conjecture,
( ( box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800 )
= $false ),
inference(negate_conjecture,[status(cth)],[47]) ).
thf(49,plain,
( ( box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800 )
= $false ),
inference(unfold_def,[status(thm)],[48]) ).
thf(50,plain,
( ( ( v0 != v400 )
& ( v0 != v600 )
& ( v0 != v800 )
& ( v400 != v600 )
& ( v400 != v800 )
& ( v600 != v800 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(51,plain,
( ( less @ v600 @ v800 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(52,plain,
( ( less @ v400 @ v800 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(53,plain,
( ( less @ v400 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(54,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(55,plain,
( ( less @ v0 @ v400 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(56,plain,
( ( val @ v800 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(57,plain,
( ( val @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(58,plain,
( ( val @ v400 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(59,plain,
( ( val @ v0 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(60,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(61,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(62,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(63,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(64,plain,
( ( ! [X: $i,V: $i] :
( ( in_closed @ X @ V @ V )
<=> ( X = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(65,plain,
( ( ! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i,C2: $i,D2: $i] :
( ( box2_conflict @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
<=> ( ( axis_conflict @ A1 @ B1 @ C1 @ D1 )
| ( axis_conflict @ A2 @ B2 @ C2 @ D2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(66,plain,
( ( ! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i,C2: $i,D2: $i] :
( ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
<=> ( ( axis_compatible @ A1 @ B1 @ C1 @ D1 )
& ( axis_compatible @ A2 @ B2 @ C2 @ D2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(67,plain,
( ( ! [X1: $i,X2: $i,X3: $i,A1: $i,B1: $i,A2: $i,B2: $i,A3: $i,B3: $i] :
( ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 )
& ( in_closed @ X3 @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(68,plain,
( ( ! [X1: $i,X2: $i,A1: $i,B1: $i,A2: $i,B2: $i] :
( ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(69,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 ) )
=> ( ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(70,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = unknown )
| ( V2 = unknown ) )
& ( V1 != conflict )
& ( V2 != conflict ) )
=> ( ( box_verdict @ V1 @ V2 )
= unknown ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(71,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( V1 = compatible )
& ( V2 = compatible ) )
=> ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(72,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = conflict )
| ( V2 = conflict ) ) )
=> ( ( box_verdict @ V1 @ V2 )
= conflict ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(73,plain,
( ( ! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(74,plain,
( ( compatible != unknown )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(75,plain,
( ( conflict != unknown )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(76,plain,
( ( conflict != compatible )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(77,plain,
( ( is_verdict @ unknown )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(78,plain,
( ( is_verdict @ compatible )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(79,plain,
( ( is_verdict @ conflict )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(80,plain,
( ( ! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ! [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
=> ( in_closed @ X @ I2lo @ I2hi ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(81,plain,
( ( ! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ? [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
& ( in_closed @ X @ I2lo @ I2hi ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(82,plain,
( ( ! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ~ ? [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
& ( in_closed @ X @ I2lo @ I2hi ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(83,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(84,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(85,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(86,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(87,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(88,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(89,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(90,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(91,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(92,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(93,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(95,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(96,plain,
( ( ~ ( box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800 ) )
= $true ),
inference(polarity_switch,[status(thm)],[49]) ).
thf(97,plain,
( ( ( v600 != v800 )
& ( v400 != v800 )
& ( v400 != v600 )
& ( v0 != v800 )
& ( v0 != v400 )
& ( v0 != v600 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(98,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( less @ A @ X )
| ~ ( less @ X @ B )
| ( in_open @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_open @ X @ A @ B )
| ( less @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_open @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(99,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ X @ B )
| ~ ( less @ A @ X )
| ( in_lopen @ X @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( in_lopen @ X @ A @ B )
| ( leq @ X @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_lopen @ X @ A @ B )
| ( less @ A @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(100,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( less @ X @ B )
| ( in_ropen @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_ropen @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_ropen @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(101,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( leq @ X @ B )
| ( in_closed @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_closed @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_closed @ X @ A @ B )
| ( leq @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(102,plain,
( ( ! [X: $i,V: $i] :
( ( X != V )
| ( in_closed @ X @ V @ V ) )
& ! [X: $i,V: $i] :
( ~ ( in_closed @ X @ V @ V )
| ( X = V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(103,plain,
( ( ! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i] :
( ! [C2: $i,D2: $i] :
( ~ ( box2_conflict @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
| ( axis_conflict @ A1 @ B1 @ C1 @ D1 )
| ( axis_conflict @ A2 @ B2 @ C2 @ D2 ) )
& ( ~ ( axis_conflict @ A1 @ B1 @ C1 @ D1 )
| ! [C2: $i,D2: $i] : ( box2_conflict @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 ) )
& ! [C2: $i,D2: $i] :
( ~ ( axis_conflict @ A2 @ B2 @ C2 @ D2 )
| ( box2_conflict @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(104,plain,
( ( ! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i] :
( ! [C2: $i,D2: $i] :
( ~ ( axis_compatible @ A1 @ B1 @ C1 @ D1 )
| ~ ( axis_compatible @ A2 @ B2 @ C2 @ D2 )
| ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 ) )
& ( ! [C2: $i,D2: $i] :
~ ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
| ( axis_compatible @ A1 @ B1 @ C1 @ D1 ) )
& ! [C2: $i,D2: $i] :
( ~ ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
| ( axis_compatible @ A2 @ B2 @ C2 @ D2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(105,plain,
( ( ! [X1: $i,X2: $i,X3: $i,A1: $i,B1: $i,A2: $i,B2: $i] :
( ! [A3: $i,B3: $i] :
( ~ ( in_closed @ X1 @ A1 @ B1 )
| ~ ( in_closed @ X2 @ A2 @ B2 )
| ~ ( in_closed @ X3 @ A3 @ B3 )
| ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 ) )
& ( ! [A3: $i,B3: $i] :
~ ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
| ( in_closed @ X1 @ A1 @ B1 ) )
& ( ! [A3: $i,B3: $i] :
~ ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
| ( in_closed @ X2 @ A2 @ B2 ) )
& ! [A3: $i,B3: $i] :
( ~ ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
| ( in_closed @ X3 @ A3 @ B3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(106,plain,
( ( ! [X1: $i,X2: $i,A1: $i,B1: $i] :
( ! [A2: $i,B2: $i] :
( ~ ( in_closed @ X1 @ A1 @ B1 )
| ~ ( in_closed @ X2 @ A2 @ B2 )
| ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 ) )
& ( ! [A2: $i,B2: $i] :
~ ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
| ( in_closed @ X1 @ A1 @ B1 ) )
& ! [A2: $i,B2: $i] :
( ~ ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
| ( in_closed @ X2 @ A2 @ B2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(107,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( ( box_verdict @ V1 @ V2 )
= unknown )
| ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(108,plain,
( ( ! [V1: $i,V2: $i] :
( ( V2 = conflict )
| ( V1 = conflict )
| ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != unknown )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) )
& ! [V1: $i,V2: $i] :
( ( V2 = conflict )
| ( V1 = conflict )
| ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V2 != unknown )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(109,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != compatible )
| ( V2 != compatible )
| ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(110,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != conflict )
| ( ( box_verdict @ V1 @ V2 )
= conflict ) )
& ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V2 != conflict )
| ( ( box_verdict @ V1 @ V2 )
= conflict ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(111,plain,
( ( ! [V: $i] :
( ~ ( is_verdict @ V )
| ( V = unknown )
| ( V = conflict )
| ( V = compatible ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(112,plain,
( ( compatible != unknown )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(113,plain,
( ( conflict != unknown )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(114,plain,
( ( conflict != compatible )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(115,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK1_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ~ ( in_closed @ ( sK1_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi ) )
& ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi )
| ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ( in_closed @ X @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(116,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ~ ( in_closed @ X @ I2lo @ I2hi ) )
| ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi ) )
& ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi )
| ( ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(117,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi )
| ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ~ ( in_closed @ X @ I2lo @ I2hi ) ) )
& ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(118,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( less @ A @ X )
| ~ ( less @ X @ B )
| ( in_open @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_open @ X @ A @ B )
| ( less @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_open @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(119,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( less @ X @ B )
| ( in_ropen @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_ropen @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_ropen @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(120,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ X @ B )
| ~ ( less @ A @ X )
| ( in_lopen @ X @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( in_lopen @ X @ A @ B )
| ( leq @ X @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_lopen @ X @ A @ B )
| ( less @ A @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(121,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( leq @ X @ B )
| ( in_closed @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_closed @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_closed @ X @ A @ B )
| ( leq @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(122,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ Z )
| ( leq @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(123,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ Y @ Z )
| ~ ( less @ X @ Y )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(124,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(125,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(126,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(127,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ( X = Y )
| ( less @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( leq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(128,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ( X = Y )
| ( less @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(129,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(130,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(131,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(132,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ( X = Y )
| ( less @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(133,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ( X = Y )
| ( less @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( leq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(134,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(135,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(136,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(137,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ Y @ Z )
| ~ ( less @ X @ Y )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(138,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ Z )
| ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(139,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( leq @ X @ B )
| ( in_closed @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_closed @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_closed @ X @ A @ B )
| ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(140,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ X @ B )
| ~ ( less @ A @ X )
| ( in_lopen @ X @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( in_lopen @ X @ A @ B )
| ( leq @ X @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_lopen @ X @ A @ B )
| ( less @ A @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(141,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( less @ X @ B )
| ( in_ropen @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_ropen @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_ropen @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(142,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( less @ A @ X )
| ~ ( less @ X @ B )
| ( in_open @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_open @ X @ A @ B )
| ( less @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_open @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(143,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi )
| ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ~ ( in_closed @ X @ I2lo @ I2hi ) ) )
& ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(144,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ~ ( in_closed @ X @ I2lo @ I2hi ) )
| ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi ) )
& ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi )
| ( ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(145,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK1_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ~ ( in_closed @ ( sK1_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi ) )
& ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi )
| ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ( in_closed @ X @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(146,plain,
( ( is_verdict @ conflict )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(147,plain,
( ( is_verdict @ compatible )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(148,plain,
( ( is_verdict @ unknown )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(149,plain,
( ( conflict != compatible )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(150,plain,
( ( conflict != unknown )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(151,plain,
( ( compatible != unknown )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(152,plain,
( ( ! [V: $i] :
( ~ ( is_verdict @ V )
| ( V = unknown )
| ( V = conflict )
| ( V = compatible ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(153,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != conflict )
| ( ( box_verdict @ V1 @ V2 )
= conflict ) )
& ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V2 != conflict )
| ( ( box_verdict @ V1 @ V2 )
= conflict ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(154,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != compatible )
| ( V2 != compatible )
| ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(155,plain,
( ( ! [V1: $i,V2: $i] :
( ( V2 = conflict )
| ( V1 = conflict )
| ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != unknown )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) )
& ! [V1: $i,V2: $i] :
( ( V2 = conflict )
| ( V1 = conflict )
| ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V2 != unknown )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(156,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( ( box_verdict @ V1 @ V2 )
= unknown )
| ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(157,plain,
( ( ! [X1: $i,X2: $i,A1: $i,B1: $i] :
( ! [A2: $i,B2: $i] :
( ~ ( in_closed @ X1 @ A1 @ B1 )
| ~ ( in_closed @ X2 @ A2 @ B2 )
| ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 ) )
& ( ! [A2: $i,B2: $i] :
~ ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
| ( in_closed @ X1 @ A1 @ B1 ) )
& ! [A2: $i,B2: $i] :
( ~ ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
| ( in_closed @ X2 @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(158,plain,
( ( ! [X1: $i,X2: $i,X3: $i,A1: $i,B1: $i,A2: $i,B2: $i] :
( ! [A3: $i,B3: $i] :
( ~ ( in_closed @ X1 @ A1 @ B1 )
| ~ ( in_closed @ X2 @ A2 @ B2 )
| ~ ( in_closed @ X3 @ A3 @ B3 )
| ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 ) )
& ( ! [A3: $i,B3: $i] :
~ ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
| ( in_closed @ X1 @ A1 @ B1 ) )
& ( ! [A3: $i,B3: $i] :
~ ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
| ( in_closed @ X2 @ A2 @ B2 ) )
& ! [A3: $i,B3: $i] :
( ~ ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
| ( in_closed @ X3 @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(159,plain,
( ( ! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i] :
( ! [C2: $i,D2: $i] :
( ~ ( axis_compatible @ A1 @ B1 @ C1 @ D1 )
| ~ ( axis_compatible @ A2 @ B2 @ C2 @ D2 )
| ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 ) )
& ( ! [C2: $i,D2: $i] :
~ ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
| ( axis_compatible @ A1 @ B1 @ C1 @ D1 ) )
& ! [C2: $i,D2: $i] :
( ~ ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
| ( axis_compatible @ A2 @ B2 @ C2 @ D2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(160,plain,
( ( ! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i] :
( ! [C2: $i,D2: $i] :
( ~ ( box2_conflict @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
| ( axis_conflict @ A1 @ B1 @ C1 @ D1 )
| ( axis_conflict @ A2 @ B2 @ C2 @ D2 ) )
& ( ~ ( axis_conflict @ A1 @ B1 @ C1 @ D1 )
| ! [C2: $i,D2: $i] : ( box2_conflict @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 ) )
& ! [C2: $i,D2: $i] :
( ~ ( axis_conflict @ A2 @ B2 @ C2 @ D2 )
| ( box2_conflict @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(161,plain,
( ( ! [X: $i,V: $i] :
( ( X != V )
| ( in_closed @ X @ V @ V ) )
& ! [X: $i,V: $i] :
( ~ ( in_closed @ X @ V @ V )
| ( X = V ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(162,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( leq @ X @ B )
| ( in_closed @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_closed @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_closed @ X @ A @ B )
| ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(163,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( less @ X @ B )
| ( in_ropen @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_ropen @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_ropen @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(164,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ X @ B )
| ~ ( less @ A @ X )
| ( in_lopen @ X @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( in_lopen @ X @ A @ B )
| ( leq @ X @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_lopen @ X @ A @ B )
| ( less @ A @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(165,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( less @ A @ X )
| ~ ( less @ X @ B )
| ( in_open @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_open @ X @ A @ B )
| ( less @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_open @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(166,plain,
( ( val @ v0 )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(167,plain,
( ( val @ v400 )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(168,plain,
( ( val @ v600 )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(169,plain,
( ( val @ v800 )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(170,plain,
( ( less @ v0 @ v400 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(171,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(172,plain,
( ( less @ v400 @ v600 )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(173,plain,
( ( less @ v400 @ v800 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(174,plain,
( ( less @ v600 @ v800 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(175,plain,
( ( ( v600 != v800 )
& ( v400 != v800 )
& ( v400 != v600 )
& ( v0 != v800 )
& ( v0 != v400 )
& ( v0 != v600 ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(176,plain,
( ( ~ ( box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800 ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(177,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 )
| ( in_ropen @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_ropen @ SX0 @ SX1 @ SX2 )
| ( leq @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_ropen @ SX0 @ SX1 @ SX2 )
| ( less @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(178,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX1 @ SX0 )
| ~ ( leq @ SX0 @ SX2 )
| ( in_closed @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_closed @ SX0 @ SX1 @ SX2 )
| ( leq @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_closed @ SX0 @ SX1 @ SX2 )
| ( leq @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(179,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
~ ( ~ ! [SX7: $i,SX8: $i] :
( ~ ( in_closed @ SX0 @ SX3 @ SX4 )
| ~ ( in_closed @ SX1 @ SX5 @ SX6 )
| ~ ( in_closed @ SX2 @ SX7 @ SX8 )
| ( in_box3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX7: $i,SX8: $i] :
~ ( in_box3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 )
| ( in_closed @ SX0 @ SX3 @ SX4 ) )
| ~ ( ! [SX7: $i,SX8: $i] :
~ ( in_box3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 )
| ( in_closed @ SX1 @ SX5 @ SX6 ) ) )
| ~ ! [SX7: $i,SX8: $i] :
( ~ ( in_box3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 )
| ( in_closed @ SX2 @ SX7 @ SX8 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(180,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(181,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( less @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 )
| ( in_open @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_open @ SX0 @ SX1 @ SX2 )
| ( less @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_open @ SX0 @ SX1 @ SX2 )
| ( less @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(182,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX0 @ SX2 )
| ~ ( less @ SX1 @ SX0 )
| ( in_lopen @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_lopen @ SX0 @ SX1 @ SX2 )
| ( leq @ SX0 @ SX2 ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_lopen @ SX0 @ SX1 @ SX2 )
| ( less @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(183,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(184,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(185,plain,
( ( ~ ( ~ ( ( v600 != v800 ) )
| ~ ~ ( ~ ( ( v400 != v800 ) )
| ~ ~ ( ~ ( ( v400 != v600 ) )
| ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(186,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX1 @ SX0 )
| ~ ( leq @ SX0 @ SX2 )
| ( in_closed @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_closed @ SX0 @ SX1 @ SX2 )
| ( leq @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_closed @ SX0 @ SX1 @ SX2 )
| ( leq @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(187,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ! [SX4: $i,SX5: $i] :
( ~ ( in_closed @ SX0 @ SX2 @ SX3 )
| ~ ( in_closed @ SX1 @ SX4 @ SX5 )
| ( in_box2 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
| ~ ~ ( ~ ( ! [SX4: $i,SX5: $i] :
~ ( in_box2 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
| ( in_closed @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( in_box2 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
| ( in_closed @ SX1 @ SX4 @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(188,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ! [SX4: $i] :
( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ~ ( in_closed @ SX4 @ SX2 @ SX3 ) )
| ( axis_compatible @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( axis_compatible @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( in_closed @ ( sK2_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(189,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( less @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 )
| ( in_open @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_open @ SX0 @ SX1 @ SX2 )
| ( less @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_open @ SX0 @ SX1 @ SX2 )
| ( less @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(190,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( in_closed @ SX0 @ SX1 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( in_closed @ SX0 @ SX1 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(191,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( axis_conflict @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ~ ( in_closed @ SX4 @ SX2 @ SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( in_closed @ ( sK3_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) )
| ( axis_conflict @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(192,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ( ~ ! [SX6: $i,SX7: $i] :
( ~ ( axis_compatible @ SX0 @ SX1 @ SX4 @ SX5 )
| ~ ( axis_compatible @ SX2 @ SX3 @ SX6 @ SX7 )
| ( box2_compatible @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
| ~ ~ ( ~ ( ! [SX6: $i,SX7: $i] :
~ ( box2_compatible @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( axis_compatible @ SX0 @ SX1 @ SX4 @ SX5 ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( box2_compatible @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( axis_compatible @ SX2 @ SX3 @ SX6 @ SX7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(193,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX0 @ SX2 )
| ~ ( less @ SX1 @ SX0 )
| ( in_lopen @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_lopen @ SX0 @ SX1 @ SX2 )
| ( leq @ SX0 @ SX2 ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_lopen @ SX0 @ SX1 @ SX2 )
| ( less @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(194,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ( ~ ! [SX6: $i,SX7: $i] :
( ~ ( box2_conflict @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( axis_conflict @ SX0 @ SX1 @ SX4 @ SX5 )
| ( axis_conflict @ SX2 @ SX3 @ SX6 @ SX7 ) )
| ~ ~ ( ~ ( ~ ( axis_conflict @ SX0 @ SX1 @ SX4 @ SX5 )
| ! [SX6: $i,SX7: $i] : ( box2_conflict @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( axis_conflict @ SX2 @ SX3 @ SX6 @ SX7 )
| ( box2_conflict @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(195,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 )
| ( in_ropen @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_ropen @ SX0 @ SX1 @ SX2 )
| ( leq @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_ropen @ SX0 @ SX1 @ SX2 )
| ( less @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(196,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ~ ( in_closed @ ( sK1_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) )
| ( axis_subsumes @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( axis_subsumes @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ( in_closed @ SX4 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(197,plain,
! [SV1: $i] :
( ( ~ ( less @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(198,plain,
! [SV2: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ~ ( less @ SV2 @ SY102 )
| ~ ( less @ SY102 @ SY103 )
| ( less @ SV2 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(199,plain,
! [SV3: $i] :
( ( ! [SY104: $i] :
( ( less @ SY104 @ SV3 )
| ( SV3 = SY104 )
| ( less @ SV3 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(200,plain,
! [SV4: $i] :
( ( ! [SY105: $i] :
( ~ ( leq @ SV4 @ SY105 )
| ~ ( leq @ SY105 @ SV4 )
| ( SV4 = SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(201,plain,
! [SV5: $i] :
( ( ! [SY106: $i] :
( ~ ( less @ SV5 @ SY106 )
| ( leq @ SV5 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(202,plain,
! [SV6: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ~ ( leq @ SV6 @ SY107 )
| ~ ( less @ SY107 @ SY108 )
| ( less @ SV6 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(203,plain,
! [SV7: $i] :
( ( ! [SY109: $i,SY110: $i] :
( ~ ( leq @ SY109 @ SY110 )
| ~ ( less @ SV7 @ SY109 )
| ( less @ SV7 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(204,plain,
! [SV8: $i] :
( ( ! [SY111: $i,SY112: $i] :
( ~ ( leq @ SV8 @ SY111 )
| ~ ( leq @ SY111 @ SY112 )
| ( leq @ SV8 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(205,plain,
( ( conflict = compatible )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(206,plain,
( ( conflict = unknown )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(207,plain,
( ( compatible = unknown )
= $false ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(208,plain,
! [SV9: $i] :
( ( ~ ( is_verdict @ SV9 )
| ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(209,plain,
! [SV10: $i] :
( ( ! [SY113: $i] :
( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SY113 )
| ( SV10 != compatible )
| ( SY113 != compatible )
| ( ( box_verdict @ SV10 @ SY113 )
= compatible ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(210,plain,
! [SV11: $i] :
( ( ! [SY114: $i] :
( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SY114 )
| ( ( box_verdict @ SV11 @ SY114 )
= unknown )
| ( ( box_verdict @ SV11 @ SY114 )
= conflict )
| ( ( box_verdict @ SV11 @ SY114 )
= compatible ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(211,plain,
( ( box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(212,plain,
! [SV12: $i] :
( ( ~ ( ~ ! [SY115: $i,SY116: $i] :
( ~ ( leq @ SY115 @ SV12 )
| ~ ( less @ SV12 @ SY116 )
| ( in_ropen @ SV12 @ SY115 @ SY116 ) )
| ~ ~ ( ~ ! [SY117: $i] :
( ! [SY118: $i] :
~ ( in_ropen @ SV12 @ SY117 @ SY118 )
| ( leq @ SY117 @ SV12 ) )
| ~ ! [SY119: $i,SY120: $i] :
( ~ ( in_ropen @ SV12 @ SY119 @ SY120 )
| ( less @ SV12 @ SY120 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(213,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( leq @ SY121 @ SV13 )
| ~ ( leq @ SV13 @ SY122 )
| ( in_closed @ SV13 @ SY121 @ SY122 ) )
| ~ ~ ( ~ ! [SY123: $i] :
( ! [SY124: $i] :
~ ( in_closed @ SV13 @ SY123 @ SY124 )
| ( leq @ SY123 @ SV13 ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( in_closed @ SV13 @ SY125 @ SY126 )
| ( leq @ SV13 @ SY126 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(214,plain,
! [SV14: $i] :
( ( ! [SY127: $i,SY128: $i,SY129: $i,SY130: $i,SY131: $i,SY132: $i] :
~ ( ~ ! [SY133: $i,SY134: $i] :
( ~ ( in_closed @ SV14 @ SY129 @ SY130 )
| ~ ( in_closed @ SY127 @ SY131 @ SY132 )
| ~ ( in_closed @ SY128 @ SY133 @ SY134 )
| ( in_box3 @ SV14 @ SY127 @ SY128 @ SY129 @ SY130 @ SY131 @ SY132 @ SY133 @ SY134 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY135: $i,SY136: $i] :
~ ( in_box3 @ SV14 @ SY127 @ SY128 @ SY129 @ SY130 @ SY131 @ SY132 @ SY135 @ SY136 )
| ( in_closed @ SV14 @ SY129 @ SY130 ) )
| ~ ( ! [SY137: $i,SY138: $i] :
~ ( in_box3 @ SV14 @ SY127 @ SY128 @ SY129 @ SY130 @ SY131 @ SY132 @ SY137 @ SY138 )
| ( in_closed @ SY127 @ SY131 @ SY132 ) ) )
| ~ ! [SY139: $i,SY140: $i] :
( ~ ( in_box3 @ SV14 @ SY127 @ SY128 @ SY129 @ SY130 @ SY131 @ SY132 @ SY139 @ SY140 )
| ( in_closed @ SY128 @ SY139 @ SY140 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(215,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(216,plain,
! [SV15: $i] :
( ( ~ ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( less @ SY141 @ SV15 )
| ~ ( less @ SV15 @ SY142 )
| ( in_open @ SV15 @ SY141 @ SY142 ) )
| ~ ~ ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( in_open @ SV15 @ SY143 @ SY144 )
| ( less @ SY143 @ SV15 ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( in_open @ SV15 @ SY145 @ SY146 )
| ( less @ SV15 @ SY146 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(217,plain,
! [SV16: $i] :
( ( ~ ( ~ ! [SY147: $i,SY148: $i] :
( ~ ( leq @ SV16 @ SY148 )
| ~ ( less @ SY147 @ SV16 )
| ( in_lopen @ SV16 @ SY147 @ SY148 ) )
| ~ ~ ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( in_lopen @ SV16 @ SY149 @ SY150 )
| ( leq @ SV16 @ SY150 ) )
| ~ ! [SY151: $i] :
( ! [SY152: $i] :
~ ( in_lopen @ SV16 @ SY151 @ SY152 )
| ( less @ SY151 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(218,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(219,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(220,plain,
( ( ~ ( ( v600 != v800 ) )
| ~ ~ ( ~ ( ( v400 != v800 ) )
| ~ ~ ( ~ ( ( v400 != v600 ) )
| ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(221,plain,
! [SV17: $i] :
( ( ~ ( ~ ! [SY153: $i,SY154: $i] :
( ~ ( leq @ SY153 @ SV17 )
| ~ ( leq @ SV17 @ SY154 )
| ( in_closed @ SV17 @ SY153 @ SY154 ) )
| ~ ~ ( ~ ! [SY155: $i] :
( ! [SY156: $i] :
~ ( in_closed @ SV17 @ SY155 @ SY156 )
| ( leq @ SY155 @ SV17 ) )
| ~ ! [SY157: $i,SY158: $i] :
( ~ ( in_closed @ SV17 @ SY157 @ SY158 )
| ( leq @ SV17 @ SY158 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(222,plain,
! [SV18: $i] :
( ( ! [SY159: $i,SY160: $i,SY161: $i] :
~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( in_closed @ SV18 @ SY160 @ SY161 )
| ~ ( in_closed @ SY159 @ SY162 @ SY163 )
| ( in_box2 @ SV18 @ SY159 @ SY160 @ SY161 @ SY162 @ SY163 ) )
| ~ ~ ( ~ ( ! [SY164: $i,SY165: $i] :
~ ( in_box2 @ SV18 @ SY159 @ SY160 @ SY161 @ SY164 @ SY165 )
| ( in_closed @ SV18 @ SY160 @ SY161 ) )
| ~ ! [SY166: $i,SY167: $i] :
( ~ ( in_box2 @ SV18 @ SY159 @ SY160 @ SY161 @ SY166 @ SY167 )
| ( in_closed @ SY159 @ SY166 @ SY167 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(223,plain,
! [SV19: $i] :
( ( ! [SY168: $i] :
~ ( ~ ! [SY169: $i,SY170: $i] :
( ! [SY171: $i] :
( ~ ( in_closed @ SY171 @ SV19 @ SY168 )
| ~ ( in_closed @ SY171 @ SY169 @ SY170 ) )
| ( axis_compatible @ SV19 @ SY168 @ SY169 @ SY170 ) )
| ~ ! [SY172: $i,SY173: $i] :
( ~ ( axis_compatible @ SV19 @ SY168 @ SY172 @ SY173 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY173 @ SY172 @ SY168 @ SV19 ) @ SV19 @ SY168 )
| ~ ( in_closed @ ( sK2_X @ SY173 @ SY172 @ SY168 @ SV19 ) @ SY172 @ SY173 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(224,plain,
! [SV20: $i] :
( ( ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( less @ SY174 @ SV20 )
| ~ ( less @ SV20 @ SY175 )
| ( in_open @ SV20 @ SY174 @ SY175 ) )
| ~ ~ ( ~ ! [SY176: $i] :
( ! [SY177: $i] :
~ ( in_open @ SV20 @ SY176 @ SY177 )
| ( less @ SY176 @ SV20 ) )
| ~ ! [SY178: $i,SY179: $i] :
( ~ ( in_open @ SV20 @ SY178 @ SY179 )
| ( less @ SV20 @ SY179 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(225,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( in_closed @ SX0 @ SX1 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( in_closed @ SX0 @ SX1 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(226,plain,
! [SV21: $i] :
( ( ! [SY180: $i] :
~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( axis_conflict @ SV21 @ SY180 @ SY181 @ SY182 )
| ! [SY183: $i] :
( ~ ( in_closed @ SY183 @ SV21 @ SY180 )
| ~ ( in_closed @ SY183 @ SY181 @ SY182 ) ) )
| ~ ! [SY184: $i,SY185: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY185 @ SY184 @ SY180 @ SV21 ) @ SV21 @ SY180 )
| ~ ( in_closed @ ( sK3_X @ SY185 @ SY184 @ SY180 @ SV21 ) @ SY184 @ SY185 ) )
| ( axis_conflict @ SV21 @ SY180 @ SY184 @ SY185 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(227,plain,
! [SV22: $i] :
( ( ! [SY186: $i,SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
~ ( ~ ! [SY191: $i,SY192: $i] :
( ~ ( axis_compatible @ SV22 @ SY186 @ SY189 @ SY190 )
| ~ ( axis_compatible @ SY187 @ SY188 @ SY191 @ SY192 )
| ( box2_compatible @ SV22 @ SY186 @ SY187 @ SY188 @ SY189 @ SY190 @ SY191 @ SY192 ) )
| ~ ~ ( ~ ( ! [SY193: $i,SY194: $i] :
~ ( box2_compatible @ SV22 @ SY186 @ SY187 @ SY188 @ SY189 @ SY190 @ SY193 @ SY194 )
| ( axis_compatible @ SV22 @ SY186 @ SY189 @ SY190 ) )
| ~ ! [SY195: $i,SY196: $i] :
( ~ ( box2_compatible @ SV22 @ SY186 @ SY187 @ SY188 @ SY189 @ SY190 @ SY195 @ SY196 )
| ( axis_compatible @ SY187 @ SY188 @ SY195 @ SY196 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(228,plain,
! [SV23: $i] :
( ( ~ ( ~ ! [SY197: $i,SY198: $i] :
( ~ ( leq @ SV23 @ SY198 )
| ~ ( less @ SY197 @ SV23 )
| ( in_lopen @ SV23 @ SY197 @ SY198 ) )
| ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( in_lopen @ SV23 @ SY199 @ SY200 )
| ( leq @ SV23 @ SY200 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( in_lopen @ SV23 @ SY201 @ SY202 )
| ( less @ SY201 @ SV23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(229,plain,
! [SV24: $i] :
( ( ! [SY203: $i,SY204: $i,SY205: $i,SY206: $i,SY207: $i] :
~ ( ~ ! [SY208: $i,SY209: $i] :
( ~ ( box2_conflict @ SV24 @ SY203 @ SY204 @ SY205 @ SY206 @ SY207 @ SY208 @ SY209 )
| ( axis_conflict @ SV24 @ SY203 @ SY206 @ SY207 )
| ( axis_conflict @ SY204 @ SY205 @ SY208 @ SY209 ) )
| ~ ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SY203 @ SY206 @ SY207 )
| ! [SY210: $i,SY211: $i] : ( box2_conflict @ SV24 @ SY203 @ SY204 @ SY205 @ SY206 @ SY207 @ SY210 @ SY211 ) )
| ~ ! [SY212: $i,SY213: $i] :
( ~ ( axis_conflict @ SY204 @ SY205 @ SY212 @ SY213 )
| ( box2_conflict @ SV24 @ SY203 @ SY204 @ SY205 @ SY206 @ SY207 @ SY212 @ SY213 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(230,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY214: $i,SY215: $i] :
( ~ ( leq @ SY214 @ SV25 )
| ~ ( less @ SV25 @ SY215 )
| ( in_ropen @ SV25 @ SY214 @ SY215 ) )
| ~ ~ ( ~ ! [SY216: $i] :
( ! [SY217: $i] :
~ ( in_ropen @ SV25 @ SY216 @ SY217 )
| ( leq @ SY216 @ SV25 ) )
| ~ ! [SY218: $i,SY219: $i] :
( ~ ( in_ropen @ SV25 @ SY218 @ SY219 )
| ( less @ SV25 @ SY219 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(231,plain,
! [SV26: $i] :
( ( ! [SY220: $i] :
~ ( ~ ! [SY221: $i,SY222: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY222 @ SY221 @ SY220 @ SV26 ) @ SV26 @ SY220 )
| ~ ~ ( in_closed @ ( sK1_X @ SY222 @ SY221 @ SY220 @ SV26 ) @ SY221 @ SY222 ) )
| ( axis_subsumes @ SV26 @ SY220 @ SY221 @ SY222 ) )
| ~ ! [SY223: $i,SY224: $i] :
( ~ ( axis_subsumes @ SV26 @ SY220 @ SY223 @ SY224 )
| ! [SY225: $i] :
( ~ ( in_closed @ SY225 @ SV26 @ SY220 )
| ( in_closed @ SY225 @ SY223 @ SY224 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(232,plain,
! [SV1: $i] :
( ( less @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(233,plain,
! [SV27: $i,SV2: $i] :
( ( ! [SY226: $i] :
( ~ ( less @ SV2 @ SV27 )
| ~ ( less @ SV27 @ SY226 )
| ( less @ SV2 @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(234,plain,
! [SV3: $i,SV28: $i] :
( ( ( less @ SV28 @ SV3 )
| ( SV3 = SV28 )
| ( less @ SV3 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(235,plain,
! [SV29: $i,SV4: $i] :
( ( ~ ( leq @ SV4 @ SV29 )
| ~ ( leq @ SV29 @ SV4 )
| ( SV4 = SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(236,plain,
! [SV30: $i,SV5: $i] :
( ( ~ ( less @ SV5 @ SV30 )
| ( leq @ SV5 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(237,plain,
! [SV31: $i,SV6: $i] :
( ( ! [SY227: $i] :
( ~ ( leq @ SV6 @ SV31 )
| ~ ( less @ SV31 @ SY227 )
| ( less @ SV6 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(238,plain,
! [SV7: $i,SV32: $i] :
( ( ! [SY228: $i] :
( ~ ( leq @ SV32 @ SY228 )
| ~ ( less @ SV7 @ SV32 )
| ( less @ SV7 @ SY228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(239,plain,
! [SV33: $i,SV8: $i] :
( ( ! [SY229: $i] :
( ~ ( leq @ SV8 @ SV33 )
| ~ ( leq @ SV33 @ SY229 )
| ( leq @ SV8 @ SY229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(240,plain,
! [SV9: $i] :
( ( ( ~ ( is_verdict @ SV9 ) )
= $true )
| ( ( ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(241,plain,
! [SV34: $i,SV10: $i] :
( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV34 )
| ( SV10 != compatible )
| ( SV34 != compatible )
| ( ( box_verdict @ SV10 @ SV34 )
= compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(242,plain,
! [SV35: $i,SV11: $i] :
( ( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SV35 )
| ( ( box_verdict @ SV11 @ SV35 )
= unknown )
| ( ( box_verdict @ SV11 @ SV35 )
= conflict )
| ( ( box_verdict @ SV11 @ SV35 )
= compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(243,plain,
! [SV12: $i] :
( ( ~ ! [SY115: $i,SY116: $i] :
( ~ ( leq @ SY115 @ SV12 )
| ~ ( less @ SV12 @ SY116 )
| ( in_ropen @ SV12 @ SY115 @ SY116 ) )
| ~ ~ ( ~ ! [SY117: $i] :
( ! [SY118: $i] :
~ ( in_ropen @ SV12 @ SY117 @ SY118 )
| ( leq @ SY117 @ SV12 ) )
| ~ ! [SY119: $i,SY120: $i] :
( ~ ( in_ropen @ SV12 @ SY119 @ SY120 )
| ( less @ SV12 @ SY120 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(244,plain,
! [SV13: $i] :
( ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( leq @ SY121 @ SV13 )
| ~ ( leq @ SV13 @ SY122 )
| ( in_closed @ SV13 @ SY121 @ SY122 ) )
| ~ ~ ( ~ ! [SY123: $i] :
( ! [SY124: $i] :
~ ( in_closed @ SV13 @ SY123 @ SY124 )
| ( leq @ SY123 @ SV13 ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( in_closed @ SV13 @ SY125 @ SY126 )
| ( leq @ SV13 @ SY126 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(245,plain,
! [SV36: $i,SV14: $i] :
( ( ! [SY230: $i,SY231: $i,SY232: $i,SY233: $i,SY234: $i] :
~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( in_closed @ SV14 @ SY231 @ SY232 )
| ~ ( in_closed @ SV36 @ SY233 @ SY234 )
| ~ ( in_closed @ SY230 @ SY235 @ SY236 )
| ( in_box3 @ SV14 @ SV36 @ SY230 @ SY231 @ SY232 @ SY233 @ SY234 @ SY235 @ SY236 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY237: $i,SY238: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SY230 @ SY231 @ SY232 @ SY233 @ SY234 @ SY237 @ SY238 )
| ( in_closed @ SV14 @ SY231 @ SY232 ) )
| ~ ( ! [SY239: $i,SY240: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SY230 @ SY231 @ SY232 @ SY233 @ SY234 @ SY239 @ SY240 )
| ( in_closed @ SV36 @ SY233 @ SY234 ) ) )
| ~ ! [SY241: $i,SY242: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SY230 @ SY231 @ SY232 @ SY233 @ SY234 @ SY241 @ SY242 )
| ( in_closed @ SY230 @ SY241 @ SY242 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(246,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(247,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(248,plain,
! [SV15: $i] :
( ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( less @ SY141 @ SV15 )
| ~ ( less @ SV15 @ SY142 )
| ( in_open @ SV15 @ SY141 @ SY142 ) )
| ~ ~ ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( in_open @ SV15 @ SY143 @ SY144 )
| ( less @ SY143 @ SV15 ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( in_open @ SV15 @ SY145 @ SY146 )
| ( less @ SV15 @ SY146 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(249,plain,
! [SV16: $i] :
( ( ~ ! [SY147: $i,SY148: $i] :
( ~ ( leq @ SV16 @ SY148 )
| ~ ( less @ SY147 @ SV16 )
| ( in_lopen @ SV16 @ SY147 @ SY148 ) )
| ~ ~ ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( in_lopen @ SV16 @ SY149 @ SY150 )
| ( leq @ SV16 @ SY150 ) )
| ~ ! [SY151: $i] :
( ! [SY152: $i] :
~ ( in_lopen @ SV16 @ SY151 @ SY152 )
| ( less @ SY151 @ SV16 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(250,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(251,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(252,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(253,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(254,plain,
( ( ~ ( ( v600 != v800 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(255,plain,
( ( ~ ~ ( ~ ( ( v400 != v800 ) )
| ~ ~ ( ~ ( ( v400 != v600 ) )
| ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(256,plain,
! [SV17: $i] :
( ( ~ ! [SY153: $i,SY154: $i] :
( ~ ( leq @ SY153 @ SV17 )
| ~ ( leq @ SV17 @ SY154 )
| ( in_closed @ SV17 @ SY153 @ SY154 ) )
| ~ ~ ( ~ ! [SY155: $i] :
( ! [SY156: $i] :
~ ( in_closed @ SV17 @ SY155 @ SY156 )
| ( leq @ SY155 @ SV17 ) )
| ~ ! [SY157: $i,SY158: $i] :
( ~ ( in_closed @ SV17 @ SY157 @ SY158 )
| ( leq @ SV17 @ SY158 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(257,plain,
! [SV37: $i,SV18: $i] :
( ( ! [SY243: $i,SY244: $i] :
~ ( ~ ! [SY245: $i,SY246: $i] :
( ~ ( in_closed @ SV18 @ SY243 @ SY244 )
| ~ ( in_closed @ SV37 @ SY245 @ SY246 )
| ( in_box2 @ SV18 @ SV37 @ SY243 @ SY244 @ SY245 @ SY246 ) )
| ~ ~ ( ~ ( ! [SY247: $i,SY248: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SY243 @ SY244 @ SY247 @ SY248 )
| ( in_closed @ SV18 @ SY243 @ SY244 ) )
| ~ ! [SY249: $i,SY250: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SY243 @ SY244 @ SY249 @ SY250 )
| ( in_closed @ SV37 @ SY249 @ SY250 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(258,plain,
! [SV38: $i,SV19: $i] :
( ( ~ ( ~ ! [SY251: $i,SY252: $i] :
( ! [SY253: $i] :
( ~ ( in_closed @ SY253 @ SV19 @ SV38 )
| ~ ( in_closed @ SY253 @ SY251 @ SY252 ) )
| ( axis_compatible @ SV19 @ SV38 @ SY251 @ SY252 ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( axis_compatible @ SV19 @ SV38 @ SY254 @ SY255 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY255 @ SY254 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SY255 @ SY254 @ SV38 @ SV19 ) @ SY254 @ SY255 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(259,plain,
! [SV20: $i] :
( ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( less @ SY174 @ SV20 )
| ~ ( less @ SV20 @ SY175 )
| ( in_open @ SV20 @ SY174 @ SY175 ) )
| ~ ~ ( ~ ! [SY176: $i] :
( ! [SY177: $i] :
~ ( in_open @ SV20 @ SY176 @ SY177 )
| ( less @ SY176 @ SV20 ) )
| ~ ! [SY178: $i,SY179: $i] :
( ~ ( in_open @ SV20 @ SY178 @ SY179 )
| ( less @ SV20 @ SY179 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(260,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( in_closed @ SX0 @ SX1 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(261,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( in_closed @ SX0 @ SX1 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(262,plain,
! [SV39: $i,SV21: $i] :
( ( ~ ( ~ ! [SY256: $i,SY257: $i] :
( ~ ( axis_conflict @ SV21 @ SV39 @ SY256 @ SY257 )
| ! [SY258: $i] :
( ~ ( in_closed @ SY258 @ SV21 @ SV39 )
| ~ ( in_closed @ SY258 @ SY256 @ SY257 ) ) )
| ~ ! [SY259: $i,SY260: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY260 @ SY259 @ SV39 @ SV21 ) @ SV21 @ SV39 )
| ~ ( in_closed @ ( sK3_X @ SY260 @ SY259 @ SV39 @ SV21 ) @ SY259 @ SY260 ) )
| ( axis_conflict @ SV21 @ SV39 @ SY259 @ SY260 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(263,plain,
! [SV40: $i,SV22: $i] :
( ( ! [SY261: $i,SY262: $i,SY263: $i,SY264: $i] :
~ ( ~ ! [SY265: $i,SY266: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SY263 @ SY264 )
| ~ ( axis_compatible @ SY261 @ SY262 @ SY265 @ SY266 )
| ( box2_compatible @ SV22 @ SV40 @ SY261 @ SY262 @ SY263 @ SY264 @ SY265 @ SY266 ) )
| ~ ~ ( ~ ( ! [SY267: $i,SY268: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SY261 @ SY262 @ SY263 @ SY264 @ SY267 @ SY268 )
| ( axis_compatible @ SV22 @ SV40 @ SY263 @ SY264 ) )
| ~ ! [SY269: $i,SY270: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SY261 @ SY262 @ SY263 @ SY264 @ SY269 @ SY270 )
| ( axis_compatible @ SY261 @ SY262 @ SY269 @ SY270 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(264,plain,
! [SV23: $i] :
( ( ~ ! [SY197: $i,SY198: $i] :
( ~ ( leq @ SV23 @ SY198 )
| ~ ( less @ SY197 @ SV23 )
| ( in_lopen @ SV23 @ SY197 @ SY198 ) )
| ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( in_lopen @ SV23 @ SY199 @ SY200 )
| ( leq @ SV23 @ SY200 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( in_lopen @ SV23 @ SY201 @ SY202 )
| ( less @ SY201 @ SV23 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(265,plain,
! [SV41: $i,SV24: $i] :
( ( ! [SY271: $i,SY272: $i,SY273: $i,SY274: $i] :
~ ( ~ ! [SY275: $i,SY276: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SY271 @ SY272 @ SY273 @ SY274 @ SY275 @ SY276 )
| ( axis_conflict @ SV24 @ SV41 @ SY273 @ SY274 )
| ( axis_conflict @ SY271 @ SY272 @ SY275 @ SY276 ) )
| ~ ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SY273 @ SY274 )
| ! [SY277: $i,SY278: $i] : ( box2_conflict @ SV24 @ SV41 @ SY271 @ SY272 @ SY273 @ SY274 @ SY277 @ SY278 ) )
| ~ ! [SY279: $i,SY280: $i] :
( ~ ( axis_conflict @ SY271 @ SY272 @ SY279 @ SY280 )
| ( box2_conflict @ SV24 @ SV41 @ SY271 @ SY272 @ SY273 @ SY274 @ SY279 @ SY280 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(266,plain,
! [SV25: $i] :
( ( ~ ! [SY214: $i,SY215: $i] :
( ~ ( leq @ SY214 @ SV25 )
| ~ ( less @ SV25 @ SY215 )
| ( in_ropen @ SV25 @ SY214 @ SY215 ) )
| ~ ~ ( ~ ! [SY216: $i] :
( ! [SY217: $i] :
~ ( in_ropen @ SV25 @ SY216 @ SY217 )
| ( leq @ SY216 @ SV25 ) )
| ~ ! [SY218: $i,SY219: $i] :
( ~ ( in_ropen @ SV25 @ SY218 @ SY219 )
| ( less @ SV25 @ SY219 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(267,plain,
! [SV26: $i,SV42: $i] :
( ( ~ ( ~ ! [SY281: $i,SY282: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY282 @ SY281 @ SV42 @ SV26 ) @ SV26 @ SV42 )
| ~ ~ ( in_closed @ ( sK1_X @ SY282 @ SY281 @ SV42 @ SV26 ) @ SY281 @ SY282 ) )
| ( axis_subsumes @ SV26 @ SV42 @ SY281 @ SY282 ) )
| ~ ! [SY283: $i,SY284: $i] :
( ~ ( axis_subsumes @ SV26 @ SV42 @ SY283 @ SY284 )
| ! [SY285: $i] :
( ~ ( in_closed @ SY285 @ SV26 @ SV42 )
| ( in_closed @ SY285 @ SY283 @ SY284 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(268,plain,
! [SV43: $i,SV27: $i,SV2: $i] :
( ( ~ ( less @ SV2 @ SV27 )
| ~ ( less @ SV27 @ SV43 )
| ( less @ SV2 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(269,plain,
! [SV3: $i,SV28: $i] :
( ( ( less @ SV28 @ SV3 )
= $true )
| ( ( ( SV3 = SV28 )
| ( less @ SV3 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(270,plain,
! [SV29: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV29 )
| ~ ( leq @ SV29 @ SV4 ) )
= $true )
| ( ( SV4 = SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(271,plain,
! [SV30: $i,SV5: $i] :
( ( ( ~ ( less @ SV5 @ SV30 ) )
= $true )
| ( ( leq @ SV5 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(272,plain,
! [SV44: $i,SV31: $i,SV6: $i] :
( ( ~ ( leq @ SV6 @ SV31 )
| ~ ( less @ SV31 @ SV44 )
| ( less @ SV6 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(273,plain,
! [SV7: $i,SV45: $i,SV32: $i] :
( ( ~ ( leq @ SV32 @ SV45 )
| ~ ( less @ SV7 @ SV32 )
| ( less @ SV7 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(274,plain,
! [SV46: $i,SV33: $i,SV8: $i] :
( ( ~ ( leq @ SV8 @ SV33 )
| ~ ( leq @ SV33 @ SV46 )
| ( leq @ SV8 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(275,plain,
! [SV9: $i] :
( ( ( is_verdict @ SV9 )
= $false )
| ( ( ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(276,plain,
! [SV34: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV34 )
| ( SV10 != compatible )
| ( SV34 != compatible ) )
= $true )
| ( ( ( box_verdict @ SV10 @ SV34 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(277,plain,
! [SV35: $i,SV11: $i] :
( ( ( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SV35 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV35 )
= unknown )
| ( ( box_verdict @ SV11 @ SV35 )
= conflict )
| ( ( box_verdict @ SV11 @ SV35 )
= compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(278,plain,
! [SV12: $i] :
( ( ~ ! [SY115: $i,SY116: $i] :
( ~ ( leq @ SY115 @ SV12 )
| ~ ( less @ SV12 @ SY116 )
| ( in_ropen @ SV12 @ SY115 @ SY116 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(279,plain,
! [SV12: $i] :
( ( ~ ~ ( ~ ! [SY117: $i] :
( ! [SY118: $i] :
~ ( in_ropen @ SV12 @ SY117 @ SY118 )
| ( leq @ SY117 @ SV12 ) )
| ~ ! [SY119: $i,SY120: $i] :
( ~ ( in_ropen @ SV12 @ SY119 @ SY120 )
| ( less @ SV12 @ SY120 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(280,plain,
! [SV13: $i] :
( ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( leq @ SY121 @ SV13 )
| ~ ( leq @ SV13 @ SY122 )
| ( in_closed @ SV13 @ SY121 @ SY122 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(281,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY123: $i] :
( ! [SY124: $i] :
~ ( in_closed @ SV13 @ SY123 @ SY124 )
| ( leq @ SY123 @ SV13 ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( in_closed @ SV13 @ SY125 @ SY126 )
| ( leq @ SV13 @ SY126 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(282,plain,
! [SV47: $i,SV36: $i,SV14: $i] :
( ( ! [SY286: $i,SY287: $i,SY288: $i,SY289: $i] :
~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( in_closed @ SV14 @ SY286 @ SY287 )
| ~ ( in_closed @ SV36 @ SY288 @ SY289 )
| ~ ( in_closed @ SV47 @ SY290 @ SY291 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SY286 @ SY287 @ SY288 @ SY289 @ SY290 @ SY291 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY292: $i,SY293: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SY286 @ SY287 @ SY288 @ SY289 @ SY292 @ SY293 )
| ( in_closed @ SV14 @ SY286 @ SY287 ) )
| ~ ( ! [SY294: $i,SY295: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SY286 @ SY287 @ SY288 @ SY289 @ SY294 @ SY295 )
| ( in_closed @ SV36 @ SY288 @ SY289 ) ) )
| ~ ! [SY296: $i,SY297: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SY286 @ SY287 @ SY288 @ SY289 @ SY296 @ SY297 )
| ( in_closed @ SV47 @ SY296 @ SY297 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(283,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(284,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(285,plain,
! [SV15: $i] :
( ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( less @ SY141 @ SV15 )
| ~ ( less @ SV15 @ SY142 )
| ( in_open @ SV15 @ SY141 @ SY142 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(286,plain,
! [SV15: $i] :
( ( ~ ~ ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( in_open @ SV15 @ SY143 @ SY144 )
| ( less @ SY143 @ SV15 ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( in_open @ SV15 @ SY145 @ SY146 )
| ( less @ SV15 @ SY146 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(287,plain,
! [SV16: $i] :
( ( ~ ! [SY147: $i,SY148: $i] :
( ~ ( leq @ SV16 @ SY148 )
| ~ ( less @ SY147 @ SV16 )
| ( in_lopen @ SV16 @ SY147 @ SY148 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(288,plain,
! [SV16: $i] :
( ( ~ ~ ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( in_lopen @ SV16 @ SY149 @ SY150 )
| ( leq @ SV16 @ SY150 ) )
| ~ ! [SY151: $i] :
( ! [SY152: $i] :
~ ( in_lopen @ SV16 @ SY151 @ SY152 )
| ( less @ SY151 @ SV16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(289,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(290,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(291,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(292,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(293,plain,
( ( v600 != v800 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(294,plain,
( ( ~ ( ~ ( ( v400 != v800 ) )
| ~ ~ ( ~ ( ( v400 != v600 ) )
| ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(295,plain,
! [SV17: $i] :
( ( ~ ! [SY153: $i,SY154: $i] :
( ~ ( leq @ SY153 @ SV17 )
| ~ ( leq @ SV17 @ SY154 )
| ( in_closed @ SV17 @ SY153 @ SY154 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(296,plain,
! [SV17: $i] :
( ( ~ ~ ( ~ ! [SY155: $i] :
( ! [SY156: $i] :
~ ( in_closed @ SV17 @ SY155 @ SY156 )
| ( leq @ SY155 @ SV17 ) )
| ~ ! [SY157: $i,SY158: $i] :
( ~ ( in_closed @ SV17 @ SY157 @ SY158 )
| ( leq @ SV17 @ SY158 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(297,plain,
! [SV37: $i,SV48: $i,SV18: $i] :
( ( ! [SY298: $i] :
~ ( ~ ! [SY299: $i,SY300: $i] :
( ~ ( in_closed @ SV18 @ SV48 @ SY298 )
| ~ ( in_closed @ SV37 @ SY299 @ SY300 )
| ( in_box2 @ SV18 @ SV37 @ SV48 @ SY298 @ SY299 @ SY300 ) )
| ~ ~ ( ~ ( ! [SY301: $i,SY302: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SY298 @ SY301 @ SY302 )
| ( in_closed @ SV18 @ SV48 @ SY298 ) )
| ~ ! [SY303: $i,SY304: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SY298 @ SY303 @ SY304 )
| ( in_closed @ SV37 @ SY303 @ SY304 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(298,plain,
! [SV38: $i,SV19: $i] :
( ( ~ ! [SY251: $i,SY252: $i] :
( ! [SY253: $i] :
( ~ ( in_closed @ SY253 @ SV19 @ SV38 )
| ~ ( in_closed @ SY253 @ SY251 @ SY252 ) )
| ( axis_compatible @ SV19 @ SV38 @ SY251 @ SY252 ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( axis_compatible @ SV19 @ SV38 @ SY254 @ SY255 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY255 @ SY254 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SY255 @ SY254 @ SV38 @ SV19 ) @ SY254 @ SY255 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(299,plain,
! [SV20: $i] :
( ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( less @ SY174 @ SV20 )
| ~ ( less @ SV20 @ SY175 )
| ( in_open @ SV20 @ SY174 @ SY175 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(300,plain,
! [SV20: $i] :
( ( ~ ~ ( ~ ! [SY176: $i] :
( ! [SY177: $i] :
~ ( in_open @ SV20 @ SY176 @ SY177 )
| ( less @ SY176 @ SV20 ) )
| ~ ! [SY178: $i,SY179: $i] :
( ~ ( in_open @ SV20 @ SY178 @ SY179 )
| ( less @ SV20 @ SY179 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(301,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( in_closed @ SX0 @ SX1 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(302,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in_closed @ SX0 @ SX1 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(303,plain,
! [SV39: $i,SV21: $i] :
( ( ~ ! [SY256: $i,SY257: $i] :
( ~ ( axis_conflict @ SV21 @ SV39 @ SY256 @ SY257 )
| ! [SY258: $i] :
( ~ ( in_closed @ SY258 @ SV21 @ SV39 )
| ~ ( in_closed @ SY258 @ SY256 @ SY257 ) ) )
| ~ ! [SY259: $i,SY260: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY260 @ SY259 @ SV39 @ SV21 ) @ SV21 @ SV39 )
| ~ ( in_closed @ ( sK3_X @ SY260 @ SY259 @ SV39 @ SV21 ) @ SY259 @ SY260 ) )
| ( axis_conflict @ SV21 @ SV39 @ SY259 @ SY260 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(304,plain,
! [SV49: $i,SV40: $i,SV22: $i] :
( ( ! [SY305: $i,SY306: $i,SY307: $i] :
~ ( ~ ! [SY308: $i,SY309: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SY306 @ SY307 )
| ~ ( axis_compatible @ SV49 @ SY305 @ SY308 @ SY309 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SY305 @ SY306 @ SY307 @ SY308 @ SY309 ) )
| ~ ~ ( ~ ( ! [SY310: $i,SY311: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SY305 @ SY306 @ SY307 @ SY310 @ SY311 )
| ( axis_compatible @ SV22 @ SV40 @ SY306 @ SY307 ) )
| ~ ! [SY312: $i,SY313: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SY305 @ SY306 @ SY307 @ SY312 @ SY313 )
| ( axis_compatible @ SV49 @ SY305 @ SY312 @ SY313 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(305,plain,
! [SV23: $i] :
( ( ~ ! [SY197: $i,SY198: $i] :
( ~ ( leq @ SV23 @ SY198 )
| ~ ( less @ SY197 @ SV23 )
| ( in_lopen @ SV23 @ SY197 @ SY198 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(306,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( in_lopen @ SV23 @ SY199 @ SY200 )
| ( leq @ SV23 @ SY200 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( in_lopen @ SV23 @ SY201 @ SY202 )
| ( less @ SY201 @ SV23 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(307,plain,
! [SV50: $i,SV41: $i,SV24: $i] :
( ( ! [SY314: $i,SY315: $i,SY316: $i] :
~ ( ~ ! [SY317: $i,SY318: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SY314 @ SY315 @ SY316 @ SY317 @ SY318 )
| ( axis_conflict @ SV24 @ SV41 @ SY315 @ SY316 )
| ( axis_conflict @ SV50 @ SY314 @ SY317 @ SY318 ) )
| ~ ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SY315 @ SY316 )
| ! [SY319: $i,SY320: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SY314 @ SY315 @ SY316 @ SY319 @ SY320 ) )
| ~ ! [SY321: $i,SY322: $i] :
( ~ ( axis_conflict @ SV50 @ SY314 @ SY321 @ SY322 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SY314 @ SY315 @ SY316 @ SY321 @ SY322 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(308,plain,
! [SV25: $i] :
( ( ~ ! [SY214: $i,SY215: $i] :
( ~ ( leq @ SY214 @ SV25 )
| ~ ( less @ SV25 @ SY215 )
| ( in_ropen @ SV25 @ SY214 @ SY215 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(309,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY216: $i] :
( ! [SY217: $i] :
~ ( in_ropen @ SV25 @ SY216 @ SY217 )
| ( leq @ SY216 @ SV25 ) )
| ~ ! [SY218: $i,SY219: $i] :
( ~ ( in_ropen @ SV25 @ SY218 @ SY219 )
| ( less @ SV25 @ SY219 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(310,plain,
! [SV26: $i,SV42: $i] :
( ( ~ ! [SY281: $i,SY282: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY282 @ SY281 @ SV42 @ SV26 ) @ SV26 @ SV42 )
| ~ ~ ( in_closed @ ( sK1_X @ SY282 @ SY281 @ SV42 @ SV26 ) @ SY281 @ SY282 ) )
| ( axis_subsumes @ SV26 @ SV42 @ SY281 @ SY282 ) )
| ~ ! [SY283: $i,SY284: $i] :
( ~ ( axis_subsumes @ SV26 @ SV42 @ SY283 @ SY284 )
| ! [SY285: $i] :
( ~ ( in_closed @ SY285 @ SV26 @ SV42 )
| ( in_closed @ SY285 @ SY283 @ SY284 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(311,plain,
! [SV43: $i,SV27: $i,SV2: $i] :
( ( ( ~ ( less @ SV2 @ SV27 )
| ~ ( less @ SV27 @ SV43 ) )
= $true )
| ( ( less @ SV2 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(312,plain,
! [SV28: $i,SV3: $i] :
( ( ( SV3 = SV28 )
= $true )
| ( ( less @ SV3 @ SV28 )
= $true )
| ( ( less @ SV28 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(313,plain,
! [SV29: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV29 ) )
= $true )
| ( ( ~ ( leq @ SV29 @ SV4 ) )
= $true )
| ( ( SV4 = SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(314,plain,
! [SV30: $i,SV5: $i] :
( ( ( less @ SV5 @ SV30 )
= $false )
| ( ( leq @ SV5 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(315,plain,
! [SV44: $i,SV31: $i,SV6: $i] :
( ( ( ~ ( leq @ SV6 @ SV31 )
| ~ ( less @ SV31 @ SV44 ) )
= $true )
| ( ( less @ SV6 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(316,plain,
! [SV7: $i,SV45: $i,SV32: $i] :
( ( ( ~ ( leq @ SV32 @ SV45 )
| ~ ( less @ SV7 @ SV32 ) )
= $true )
| ( ( less @ SV7 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(317,plain,
! [SV46: $i,SV33: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV33 )
| ~ ( leq @ SV33 @ SV46 ) )
= $true )
| ( ( leq @ SV8 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(318,plain,
! [SV9: $i] :
( ( ( SV9 = unknown )
= $true )
| ( ( ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true )
| ( ( is_verdict @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(319,plain,
! [SV34: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV34 )
| ( SV10 != compatible ) )
= $true )
| ( ( SV34 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV34 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(320,plain,
! [SV35: $i,SV11: $i] :
( ( ( ~ ( is_verdict @ SV11 ) )
= $true )
| ( ( ~ ( is_verdict @ SV35 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV35 )
= unknown )
| ( ( box_verdict @ SV11 @ SV35 )
= conflict )
| ( ( box_verdict @ SV11 @ SV35 )
= compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(321,plain,
! [SV12: $i] :
( ( ! [SY115: $i,SY116: $i] :
( ~ ( leq @ SY115 @ SV12 )
| ~ ( less @ SV12 @ SY116 )
| ( in_ropen @ SV12 @ SY115 @ SY116 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(322,plain,
! [SV12: $i] :
( ( ~ ( ~ ! [SY117: $i] :
( ! [SY118: $i] :
~ ( in_ropen @ SV12 @ SY117 @ SY118 )
| ( leq @ SY117 @ SV12 ) )
| ~ ! [SY119: $i,SY120: $i] :
( ~ ( in_ropen @ SV12 @ SY119 @ SY120 )
| ( less @ SV12 @ SY120 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(323,plain,
! [SV13: $i] :
( ( ! [SY121: $i,SY122: $i] :
( ~ ( leq @ SY121 @ SV13 )
| ~ ( leq @ SV13 @ SY122 )
| ( in_closed @ SV13 @ SY121 @ SY122 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(324,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY123: $i] :
( ! [SY124: $i] :
~ ( in_closed @ SV13 @ SY123 @ SY124 )
| ( leq @ SY123 @ SV13 ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( in_closed @ SV13 @ SY125 @ SY126 )
| ( leq @ SV13 @ SY126 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(325,plain,
! [SV47: $i,SV36: $i,SV51: $i,SV14: $i] :
( ( ! [SY323: $i,SY324: $i,SY325: $i] :
~ ( ~ ! [SY326: $i,SY327: $i] :
( ~ ( in_closed @ SV14 @ SV51 @ SY323 )
| ~ ( in_closed @ SV36 @ SY324 @ SY325 )
| ~ ( in_closed @ SV47 @ SY326 @ SY327 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SY323 @ SY324 @ SY325 @ SY326 @ SY327 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY328: $i,SY329: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SY323 @ SY324 @ SY325 @ SY328 @ SY329 )
| ( in_closed @ SV14 @ SV51 @ SY323 ) )
| ~ ( ! [SY330: $i,SY331: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SY323 @ SY324 @ SY325 @ SY330 @ SY331 )
| ( in_closed @ SV36 @ SY324 @ SY325 ) ) )
| ~ ! [SY332: $i,SY333: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SY323 @ SY324 @ SY325 @ SY332 @ SY333 )
| ( in_closed @ SV47 @ SY332 @ SY333 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(326,plain,
! [SV52: $i] :
( ( ! [SY334: $i] :
( ( SY334 = conflict )
| ( SV52 = conflict )
| ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SY334 )
| ( SV52 != unknown )
| ( ( box_verdict @ SV52 @ SY334 )
= unknown ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(327,plain,
! [SV53: $i] :
( ( ! [SY335: $i] :
( ( SY335 = conflict )
| ( SV53 = conflict )
| ~ ( is_verdict @ SV53 )
| ~ ( is_verdict @ SY335 )
| ( SY335 != unknown )
| ( ( box_verdict @ SV53 @ SY335 )
= unknown ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(328,plain,
! [SV15: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ~ ( less @ SY141 @ SV15 )
| ~ ( less @ SV15 @ SY142 )
| ( in_open @ SV15 @ SY141 @ SY142 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(329,plain,
! [SV15: $i] :
( ( ~ ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( in_open @ SV15 @ SY143 @ SY144 )
| ( less @ SY143 @ SV15 ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( in_open @ SV15 @ SY145 @ SY146 )
| ( less @ SV15 @ SY146 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(330,plain,
! [SV16: $i] :
( ( ! [SY147: $i,SY148: $i] :
( ~ ( leq @ SV16 @ SY148 )
| ~ ( less @ SY147 @ SV16 )
| ( in_lopen @ SV16 @ SY147 @ SY148 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(331,plain,
! [SV16: $i] :
( ( ~ ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( in_lopen @ SV16 @ SY149 @ SY150 )
| ( leq @ SV16 @ SY150 ) )
| ~ ! [SY151: $i] :
( ! [SY152: $i] :
~ ( in_lopen @ SV16 @ SY151 @ SY152 )
| ( less @ SY151 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(332,plain,
! [SV54: $i] :
( ( ! [SY336: $i] :
( ~ ( leq @ SV54 @ SY336 )
| ( SV54 = SY336 )
| ( less @ SV54 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(333,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(334,plain,
! [SV55: $i] :
( ( ! [SY337: $i] :
( ~ ( is_verdict @ SV55 )
| ~ ( is_verdict @ SY337 )
| ( SV55 != conflict )
| ( ( box_verdict @ SV55 @ SY337 )
= conflict ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(335,plain,
! [SV56: $i] :
( ( ! [SY338: $i] :
( ~ ( is_verdict @ SV56 )
| ~ ( is_verdict @ SY338 )
| ( SY338 != conflict )
| ( ( box_verdict @ SV56 @ SY338 )
= conflict ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(336,plain,
( ( v600 = v800 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(337,plain,
( ( ~ ( ( v400 != v800 ) )
| ~ ~ ( ~ ( ( v400 != v600 ) )
| ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(338,plain,
! [SV17: $i] :
( ( ! [SY153: $i,SY154: $i] :
( ~ ( leq @ SY153 @ SV17 )
| ~ ( leq @ SV17 @ SY154 )
| ( in_closed @ SV17 @ SY153 @ SY154 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(339,plain,
! [SV17: $i] :
( ( ~ ( ~ ! [SY155: $i] :
( ! [SY156: $i] :
~ ( in_closed @ SV17 @ SY155 @ SY156 )
| ( leq @ SY155 @ SV17 ) )
| ~ ! [SY157: $i,SY158: $i] :
( ~ ( in_closed @ SV17 @ SY157 @ SY158 )
| ( leq @ SV17 @ SY158 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(340,plain,
! [SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ~ ( ~ ! [SY339: $i,SY340: $i] :
( ~ ( in_closed @ SV18 @ SV48 @ SV57 )
| ~ ( in_closed @ SV37 @ SY339 @ SY340 )
| ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY339 @ SY340 ) )
| ~ ~ ( ~ ( ! [SY341: $i,SY342: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY341 @ SY342 )
| ( in_closed @ SV18 @ SV48 @ SV57 ) )
| ~ ! [SY343: $i,SY344: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY343 @ SY344 )
| ( in_closed @ SV37 @ SY343 @ SY344 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(341,plain,
! [SV38: $i,SV19: $i] :
( ( ~ ! [SY251: $i,SY252: $i] :
( ! [SY253: $i] :
( ~ ( in_closed @ SY253 @ SV19 @ SV38 )
| ~ ( in_closed @ SY253 @ SY251 @ SY252 ) )
| ( axis_compatible @ SV19 @ SV38 @ SY251 @ SY252 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(342,plain,
! [SV38: $i,SV19: $i] :
( ( ~ ! [SY254: $i,SY255: $i] :
( ~ ( axis_compatible @ SV19 @ SV38 @ SY254 @ SY255 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY255 @ SY254 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SY255 @ SY254 @ SV38 @ SV19 ) @ SY254 @ SY255 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(343,plain,
! [SV20: $i] :
( ( ! [SY174: $i,SY175: $i] :
( ~ ( less @ SY174 @ SV20 )
| ~ ( less @ SV20 @ SY175 )
| ( in_open @ SV20 @ SY174 @ SY175 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(344,plain,
! [SV20: $i] :
( ( ~ ( ~ ! [SY176: $i] :
( ! [SY177: $i] :
~ ( in_open @ SV20 @ SY176 @ SY177 )
| ( less @ SY176 @ SV20 ) )
| ~ ! [SY178: $i,SY179: $i] :
( ~ ( in_open @ SV20 @ SY178 @ SY179 )
| ( less @ SV20 @ SY179 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(345,plain,
! [SV58: $i] :
( ( ! [SY345: $i] :
( ( SV58 != SY345 )
| ( in_closed @ SV58 @ SY345 @ SY345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(346,plain,
! [SV59: $i] :
( ( ! [SY346: $i] :
( ~ ( in_closed @ SV59 @ SY346 @ SY346 )
| ( SV59 = SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(347,plain,
! [SV39: $i,SV21: $i] :
( ( ~ ! [SY256: $i,SY257: $i] :
( ~ ( axis_conflict @ SV21 @ SV39 @ SY256 @ SY257 )
| ! [SY258: $i] :
( ~ ( in_closed @ SY258 @ SV21 @ SV39 )
| ~ ( in_closed @ SY258 @ SY256 @ SY257 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(348,plain,
! [SV21: $i,SV39: $i] :
( ( ~ ! [SY259: $i,SY260: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY260 @ SY259 @ SV39 @ SV21 ) @ SV21 @ SV39 )
| ~ ( in_closed @ ( sK3_X @ SY260 @ SY259 @ SV39 @ SV21 ) @ SY259 @ SY260 ) )
| ( axis_conflict @ SV21 @ SV39 @ SY259 @ SY260 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(349,plain,
! [SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ! [SY347: $i,SY348: $i] :
~ ( ~ ! [SY349: $i,SY350: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SY347 @ SY348 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SY349 @ SY350 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SY347 @ SY348 @ SY349 @ SY350 ) )
| ~ ~ ( ~ ( ! [SY351: $i,SY352: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SY347 @ SY348 @ SY351 @ SY352 )
| ( axis_compatible @ SV22 @ SV40 @ SY347 @ SY348 ) )
| ~ ! [SY353: $i,SY354: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SY347 @ SY348 @ SY353 @ SY354 )
| ( axis_compatible @ SV49 @ SV60 @ SY353 @ SY354 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(350,plain,
! [SV23: $i] :
( ( ! [SY197: $i,SY198: $i] :
( ~ ( leq @ SV23 @ SY198 )
| ~ ( less @ SY197 @ SV23 )
| ( in_lopen @ SV23 @ SY197 @ SY198 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(351,plain,
! [SV23: $i] :
( ( ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( in_lopen @ SV23 @ SY199 @ SY200 )
| ( leq @ SV23 @ SY200 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( in_lopen @ SV23 @ SY201 @ SY202 )
| ( less @ SY201 @ SV23 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(352,plain,
! [SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ! [SY355: $i,SY356: $i] :
~ ( ~ ! [SY357: $i,SY358: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SY355 @ SY356 @ SY357 @ SY358 )
| ( axis_conflict @ SV24 @ SV41 @ SY355 @ SY356 )
| ( axis_conflict @ SV50 @ SV61 @ SY357 @ SY358 ) )
| ~ ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SY355 @ SY356 )
| ! [SY359: $i,SY360: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SY355 @ SY356 @ SY359 @ SY360 ) )
| ~ ! [SY361: $i,SY362: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY361 @ SY362 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SY355 @ SY356 @ SY361 @ SY362 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(353,plain,
! [SV25: $i] :
( ( ! [SY214: $i,SY215: $i] :
( ~ ( leq @ SY214 @ SV25 )
| ~ ( less @ SV25 @ SY215 )
| ( in_ropen @ SV25 @ SY214 @ SY215 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(354,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY216: $i] :
( ! [SY217: $i] :
~ ( in_ropen @ SV25 @ SY216 @ SY217 )
| ( leq @ SY216 @ SV25 ) )
| ~ ! [SY218: $i,SY219: $i] :
( ~ ( in_ropen @ SV25 @ SY218 @ SY219 )
| ( less @ SV25 @ SY219 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(355,plain,
! [SV26: $i,SV42: $i] :
( ( ~ ! [SY281: $i,SY282: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY282 @ SY281 @ SV42 @ SV26 ) @ SV26 @ SV42 )
| ~ ~ ( in_closed @ ( sK1_X @ SY282 @ SY281 @ SV42 @ SV26 ) @ SY281 @ SY282 ) )
| ( axis_subsumes @ SV26 @ SV42 @ SY281 @ SY282 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(356,plain,
! [SV42: $i,SV26: $i] :
( ( ~ ! [SY283: $i,SY284: $i] :
( ~ ( axis_subsumes @ SV26 @ SV42 @ SY283 @ SY284 )
| ! [SY285: $i] :
( ~ ( in_closed @ SY285 @ SV26 @ SV42 )
| ( in_closed @ SY285 @ SY283 @ SY284 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(357,plain,
! [SV43: $i,SV27: $i,SV2: $i] :
( ( ( ~ ( less @ SV2 @ SV27 ) )
= $true )
| ( ( ~ ( less @ SV27 @ SV43 ) )
= $true )
| ( ( less @ SV2 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(358,plain,
! [SV29: $i,SV4: $i] :
( ( ( leq @ SV4 @ SV29 )
= $false )
| ( ( ~ ( leq @ SV29 @ SV4 ) )
= $true )
| ( ( SV4 = SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(359,plain,
! [SV44: $i,SV31: $i,SV6: $i] :
( ( ( ~ ( leq @ SV6 @ SV31 ) )
= $true )
| ( ( ~ ( less @ SV31 @ SV44 ) )
= $true )
| ( ( less @ SV6 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(360,plain,
! [SV7: $i,SV45: $i,SV32: $i] :
( ( ( ~ ( leq @ SV32 @ SV45 ) )
= $true )
| ( ( ~ ( less @ SV7 @ SV32 ) )
= $true )
| ( ( less @ SV7 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(361,plain,
! [SV46: $i,SV33: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV46 ) )
= $true )
| ( ( leq @ SV8 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(362,plain,
! [SV9: $i] :
( ( ( SV9 = conflict )
= $true )
| ( ( SV9 = compatible )
= $true )
| ( ( SV9 = unknown )
= $true )
| ( ( is_verdict @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(363,plain,
! [SV34: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV34 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV34 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV34 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(364,plain,
! [SV35: $i,SV11: $i] :
( ( ( is_verdict @ SV11 )
= $false )
| ( ( ~ ( is_verdict @ SV35 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV35 )
= unknown )
| ( ( box_verdict @ SV11 @ SV35 )
= conflict )
| ( ( box_verdict @ SV11 @ SV35 )
= compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(365,plain,
! [SV12: $i,SV62: $i] :
( ( ! [SY363: $i] :
( ~ ( leq @ SV62 @ SV12 )
| ~ ( less @ SV12 @ SY363 )
| ( in_ropen @ SV12 @ SV62 @ SY363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(366,plain,
! [SV12: $i] :
( ( ~ ! [SY117: $i] :
( ! [SY118: $i] :
~ ( in_ropen @ SV12 @ SY117 @ SY118 )
| ( leq @ SY117 @ SV12 ) )
| ~ ! [SY119: $i,SY120: $i] :
( ~ ( in_ropen @ SV12 @ SY119 @ SY120 )
| ( less @ SV12 @ SY120 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(367,plain,
! [SV13: $i,SV63: $i] :
( ( ! [SY364: $i] :
( ~ ( leq @ SV63 @ SV13 )
| ~ ( leq @ SV13 @ SY364 )
| ( in_closed @ SV13 @ SV63 @ SY364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(368,plain,
! [SV13: $i] :
( ( ~ ! [SY123: $i] :
( ! [SY124: $i] :
~ ( in_closed @ SV13 @ SY123 @ SY124 )
| ( leq @ SY123 @ SV13 ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( in_closed @ SV13 @ SY125 @ SY126 )
| ( leq @ SV13 @ SY126 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(369,plain,
! [SV47: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ! [SY365: $i,SY366: $i] :
~ ( ~ ! [SY367: $i,SY368: $i] :
( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SY365 @ SY366 )
| ~ ( in_closed @ SV47 @ SY367 @ SY368 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SY365 @ SY366 @ SY367 @ SY368 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY369: $i,SY370: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SY365 @ SY366 @ SY369 @ SY370 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY371: $i,SY372: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SY365 @ SY366 @ SY371 @ SY372 )
| ( in_closed @ SV36 @ SY365 @ SY366 ) ) )
| ~ ! [SY373: $i,SY374: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SY365 @ SY366 @ SY373 @ SY374 )
| ( in_closed @ SV47 @ SY373 @ SY374 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(370,plain,
! [SV52: $i,SV65: $i] :
( ( ( SV65 = conflict )
| ( SV52 = conflict )
| ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SV65 )
| ( SV52 != unknown )
| ( ( box_verdict @ SV52 @ SV65 )
= unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(371,plain,
! [SV53: $i,SV66: $i] :
( ( ( SV66 = conflict )
| ( SV53 = conflict )
| ~ ( is_verdict @ SV53 )
| ~ ( is_verdict @ SV66 )
| ( SV66 != unknown )
| ( ( box_verdict @ SV53 @ SV66 )
= unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(372,plain,
! [SV15: $i,SV67: $i] :
( ( ! [SY375: $i] :
( ~ ( less @ SV67 @ SV15 )
| ~ ( less @ SV15 @ SY375 )
| ( in_open @ SV15 @ SV67 @ SY375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(373,plain,
! [SV15: $i] :
( ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( in_open @ SV15 @ SY143 @ SY144 )
| ( less @ SY143 @ SV15 ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( in_open @ SV15 @ SY145 @ SY146 )
| ( less @ SV15 @ SY146 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(374,plain,
! [SV68: $i,SV16: $i] :
( ( ! [SY376: $i] :
( ~ ( leq @ SV16 @ SY376 )
| ~ ( less @ SV68 @ SV16 )
| ( in_lopen @ SV16 @ SV68 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(375,plain,
! [SV16: $i] :
( ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( in_lopen @ SV16 @ SY149 @ SY150 )
| ( leq @ SV16 @ SY150 ) )
| ~ ! [SY151: $i] :
( ! [SY152: $i] :
~ ( in_lopen @ SV16 @ SY151 @ SY152 )
| ( less @ SY151 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(376,plain,
! [SV69: $i,SV54: $i] :
( ( ~ ( leq @ SV54 @ SV69 )
| ( SV54 = SV69 )
| ( less @ SV54 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(377,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(378,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(379,plain,
! [SV70: $i,SV55: $i] :
( ( ~ ( is_verdict @ SV55 )
| ~ ( is_verdict @ SV70 )
| ( SV55 != conflict )
| ( ( box_verdict @ SV55 @ SV70 )
= conflict ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(380,plain,
! [SV71: $i,SV56: $i] :
( ( ~ ( is_verdict @ SV56 )
| ~ ( is_verdict @ SV71 )
| ( SV71 != conflict )
| ( ( box_verdict @ SV56 @ SV71 )
= conflict ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(381,plain,
( ( ~ ( ( v400 != v800 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(382,plain,
( ( ~ ~ ( ~ ( ( v400 != v600 ) )
| ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(383,plain,
! [SV17: $i,SV72: $i] :
( ( ! [SY377: $i] :
( ~ ( leq @ SV72 @ SV17 )
| ~ ( leq @ SV17 @ SY377 )
| ( in_closed @ SV17 @ SV72 @ SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(384,plain,
! [SV17: $i] :
( ( ~ ! [SY155: $i] :
( ! [SY156: $i] :
~ ( in_closed @ SV17 @ SY155 @ SY156 )
| ( leq @ SY155 @ SV17 ) )
| ~ ! [SY157: $i,SY158: $i] :
( ~ ( in_closed @ SV17 @ SY157 @ SY158 )
| ( leq @ SV17 @ SY158 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(385,plain,
! [SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ~ ! [SY339: $i,SY340: $i] :
( ~ ( in_closed @ SV18 @ SV48 @ SV57 )
| ~ ( in_closed @ SV37 @ SY339 @ SY340 )
| ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY339 @ SY340 ) )
| ~ ~ ( ~ ( ! [SY341: $i,SY342: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY341 @ SY342 )
| ( in_closed @ SV18 @ SV48 @ SV57 ) )
| ~ ! [SY343: $i,SY344: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY343 @ SY344 )
| ( in_closed @ SV37 @ SY343 @ SY344 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(386,plain,
! [SV38: $i,SV19: $i] :
( ( ! [SY251: $i,SY252: $i] :
( ! [SY253: $i] :
( ~ ( in_closed @ SY253 @ SV19 @ SV38 )
| ~ ( in_closed @ SY253 @ SY251 @ SY252 ) )
| ( axis_compatible @ SV19 @ SV38 @ SY251 @ SY252 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(387,plain,
! [SV38: $i,SV19: $i] :
( ( ! [SY254: $i,SY255: $i] :
( ~ ( axis_compatible @ SV19 @ SV38 @ SY254 @ SY255 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY255 @ SY254 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SY255 @ SY254 @ SV38 @ SV19 ) @ SY254 @ SY255 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(388,plain,
! [SV20: $i,SV73: $i] :
( ( ! [SY378: $i] :
( ~ ( less @ SV73 @ SV20 )
| ~ ( less @ SV20 @ SY378 )
| ( in_open @ SV20 @ SV73 @ SY378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(389,plain,
! [SV20: $i] :
( ( ~ ! [SY176: $i] :
( ! [SY177: $i] :
~ ( in_open @ SV20 @ SY176 @ SY177 )
| ( less @ SY176 @ SV20 ) )
| ~ ! [SY178: $i,SY179: $i] :
( ~ ( in_open @ SV20 @ SY178 @ SY179 )
| ( less @ SV20 @ SY179 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(390,plain,
! [SV74: $i,SV58: $i] :
( ( ( SV58 != SV74 )
| ( in_closed @ SV58 @ SV74 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(391,plain,
! [SV75: $i,SV59: $i] :
( ( ~ ( in_closed @ SV59 @ SV75 @ SV75 )
| ( SV59 = SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(392,plain,
! [SV39: $i,SV21: $i] :
( ( ! [SY256: $i,SY257: $i] :
( ~ ( axis_conflict @ SV21 @ SV39 @ SY256 @ SY257 )
| ! [SY258: $i] :
( ~ ( in_closed @ SY258 @ SV21 @ SV39 )
| ~ ( in_closed @ SY258 @ SY256 @ SY257 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(393,plain,
! [SV21: $i,SV39: $i] :
( ( ! [SY259: $i,SY260: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY260 @ SY259 @ SV39 @ SV21 ) @ SV21 @ SV39 )
| ~ ( in_closed @ ( sK3_X @ SY260 @ SY259 @ SV39 @ SV21 ) @ SY259 @ SY260 ) )
| ( axis_conflict @ SV21 @ SV39 @ SY259 @ SY260 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(394,plain,
! [SV60: $i,SV49: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ! [SY379: $i] :
~ ( ~ ! [SY380: $i,SY381: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SY379 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SY380 @ SY381 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SY379 @ SY380 @ SY381 ) )
| ~ ~ ( ~ ( ! [SY382: $i,SY383: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SY379 @ SY382 @ SY383 )
| ( axis_compatible @ SV22 @ SV40 @ SV76 @ SY379 ) )
| ~ ! [SY384: $i,SY385: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SY379 @ SY384 @ SY385 )
| ( axis_compatible @ SV49 @ SV60 @ SY384 @ SY385 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(395,plain,
! [SV77: $i,SV23: $i] :
( ( ! [SY386: $i] :
( ~ ( leq @ SV23 @ SY386 )
| ~ ( less @ SV77 @ SV23 )
| ( in_lopen @ SV23 @ SV77 @ SY386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(396,plain,
! [SV23: $i] :
( ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( in_lopen @ SV23 @ SY199 @ SY200 )
| ( leq @ SV23 @ SY200 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( in_lopen @ SV23 @ SY201 @ SY202 )
| ( less @ SY201 @ SV23 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(397,plain,
! [SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ! [SY387: $i] :
~ ( ~ ! [SY388: $i,SY389: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SY387 @ SY388 @ SY389 )
| ( axis_conflict @ SV24 @ SV41 @ SV78 @ SY387 )
| ( axis_conflict @ SV50 @ SV61 @ SY388 @ SY389 ) )
| ~ ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SY387 )
| ! [SY390: $i,SY391: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SY387 @ SY390 @ SY391 ) )
| ~ ! [SY392: $i,SY393: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY392 @ SY393 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SY387 @ SY392 @ SY393 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(398,plain,
! [SV25: $i,SV79: $i] :
( ( ! [SY394: $i] :
( ~ ( leq @ SV79 @ SV25 )
| ~ ( less @ SV25 @ SY394 )
| ( in_ropen @ SV25 @ SV79 @ SY394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(399,plain,
! [SV25: $i] :
( ( ~ ! [SY216: $i] :
( ! [SY217: $i] :
~ ( in_ropen @ SV25 @ SY216 @ SY217 )
| ( leq @ SY216 @ SV25 ) )
| ~ ! [SY218: $i,SY219: $i] :
( ~ ( in_ropen @ SV25 @ SY218 @ SY219 )
| ( less @ SV25 @ SY219 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(400,plain,
! [SV26: $i,SV42: $i] :
( ( ! [SY281: $i,SY282: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY282 @ SY281 @ SV42 @ SV26 ) @ SV26 @ SV42 )
| ~ ~ ( in_closed @ ( sK1_X @ SY282 @ SY281 @ SV42 @ SV26 ) @ SY281 @ SY282 ) )
| ( axis_subsumes @ SV26 @ SV42 @ SY281 @ SY282 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(401,plain,
! [SV42: $i,SV26: $i] :
( ( ! [SY283: $i,SY284: $i] :
( ~ ( axis_subsumes @ SV26 @ SV42 @ SY283 @ SY284 )
| ! [SY285: $i] :
( ~ ( in_closed @ SY285 @ SV26 @ SV42 )
| ( in_closed @ SY285 @ SY283 @ SY284 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(402,plain,
! [SV43: $i,SV27: $i,SV2: $i] :
( ( ( less @ SV2 @ SV27 )
= $false )
| ( ( ~ ( less @ SV27 @ SV43 ) )
= $true )
| ( ( less @ SV2 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(403,plain,
! [SV4: $i,SV29: $i] :
( ( ( leq @ SV29 @ SV4 )
= $false )
| ( ( leq @ SV4 @ SV29 )
= $false )
| ( ( SV4 = SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(404,plain,
! [SV44: $i,SV31: $i,SV6: $i] :
( ( ( leq @ SV6 @ SV31 )
= $false )
| ( ( ~ ( less @ SV31 @ SV44 ) )
= $true )
| ( ( less @ SV6 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(405,plain,
! [SV7: $i,SV45: $i,SV32: $i] :
( ( ( leq @ SV32 @ SV45 )
= $false )
| ( ( ~ ( less @ SV7 @ SV32 ) )
= $true )
| ( ( less @ SV7 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(406,plain,
! [SV46: $i,SV33: $i,SV8: $i] :
( ( ( leq @ SV8 @ SV33 )
= $false )
| ( ( ~ ( leq @ SV33 @ SV46 ) )
= $true )
| ( ( leq @ SV8 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(407,plain,
! [SV34: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 ) )
= $true )
| ( ( ~ ( is_verdict @ SV34 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV34 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV34 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(408,plain,
! [SV11: $i,SV35: $i] :
( ( ( is_verdict @ SV35 )
= $false )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( ( ( box_verdict @ SV11 @ SV35 )
= unknown )
| ( ( box_verdict @ SV11 @ SV35 )
= conflict )
| ( ( box_verdict @ SV11 @ SV35 )
= compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(409,plain,
! [SV80: $i,SV12: $i,SV62: $i] :
( ( ~ ( leq @ SV62 @ SV12 )
| ~ ( less @ SV12 @ SV80 )
| ( in_ropen @ SV12 @ SV62 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(410,plain,
! [SV12: $i] :
( ( ~ ! [SY117: $i] :
( ! [SY118: $i] :
~ ( in_ropen @ SV12 @ SY117 @ SY118 )
| ( leq @ SY117 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(411,plain,
! [SV12: $i] :
( ( ~ ! [SY119: $i,SY120: $i] :
( ~ ( in_ropen @ SV12 @ SY119 @ SY120 )
| ( less @ SV12 @ SY120 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(412,plain,
! [SV81: $i,SV13: $i,SV63: $i] :
( ( ~ ( leq @ SV63 @ SV13 )
| ~ ( leq @ SV13 @ SV81 )
| ( in_closed @ SV13 @ SV63 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(413,plain,
! [SV13: $i] :
( ( ~ ! [SY123: $i] :
( ! [SY124: $i] :
~ ( in_closed @ SV13 @ SY123 @ SY124 )
| ( leq @ SY123 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(414,plain,
! [SV13: $i] :
( ( ~ ! [SY125: $i,SY126: $i] :
( ~ ( in_closed @ SV13 @ SY125 @ SY126 )
| ( leq @ SV13 @ SY126 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(415,plain,
! [SV47: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ! [SY395: $i] :
~ ( ~ ! [SY396: $i,SY397: $i] :
( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SY395 )
| ~ ( in_closed @ SV47 @ SY396 @ SY397 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SY395 @ SY396 @ SY397 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY398: $i,SY399: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SY395 @ SY398 @ SY399 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY400: $i,SY401: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SY395 @ SY400 @ SY401 )
| ( in_closed @ SV36 @ SV82 @ SY395 ) ) )
| ~ ! [SY402: $i,SY403: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SY395 @ SY402 @ SY403 )
| ( in_closed @ SV47 @ SY402 @ SY403 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(416,plain,
! [SV52: $i,SV65: $i] :
( ( ( ( SV65 = conflict )
| ( SV52 = conflict )
| ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SV65 )
| ( SV52 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV52 @ SV65 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(417,plain,
! [SV53: $i,SV66: $i] :
( ( ( ( SV66 = conflict )
| ( SV53 = conflict )
| ~ ( is_verdict @ SV53 )
| ~ ( is_verdict @ SV66 )
| ( SV66 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV53 @ SV66 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(418,plain,
! [SV83: $i,SV15: $i,SV67: $i] :
( ( ~ ( less @ SV67 @ SV15 )
| ~ ( less @ SV15 @ SV83 )
| ( in_open @ SV15 @ SV67 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(419,plain,
! [SV15: $i] :
( ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( in_open @ SV15 @ SY143 @ SY144 )
| ( less @ SY143 @ SV15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(420,plain,
! [SV15: $i] :
( ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( in_open @ SV15 @ SY145 @ SY146 )
| ( less @ SV15 @ SY146 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(421,plain,
! [SV68: $i,SV84: $i,SV16: $i] :
( ( ~ ( leq @ SV16 @ SV84 )
| ~ ( less @ SV68 @ SV16 )
| ( in_lopen @ SV16 @ SV68 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(422,plain,
! [SV16: $i] :
( ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( in_lopen @ SV16 @ SY149 @ SY150 )
| ( leq @ SV16 @ SY150 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(423,plain,
! [SV16: $i] :
( ( ~ ! [SY151: $i] :
( ! [SY152: $i] :
~ ( in_lopen @ SV16 @ SY151 @ SY152 )
| ( less @ SY151 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(424,plain,
! [SV69: $i,SV54: $i] :
( ( ( ~ ( leq @ SV54 @ SV69 ) )
= $true )
| ( ( ( SV54 = SV69 )
| ( less @ SV54 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(425,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(426,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(427,plain,
! [SV70: $i,SV55: $i] :
( ( ( ~ ( is_verdict @ SV55 )
| ~ ( is_verdict @ SV70 )
| ( SV55 != conflict ) )
= $true )
| ( ( ( box_verdict @ SV55 @ SV70 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(428,plain,
! [SV71: $i,SV56: $i] :
( ( ( ~ ( is_verdict @ SV56 )
| ~ ( is_verdict @ SV71 )
| ( SV71 != conflict ) )
= $true )
| ( ( ( box_verdict @ SV56 @ SV71 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(429,plain,
( ( v400 != v800 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(430,plain,
( ( ~ ( ~ ( ( v400 != v600 ) )
| ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(431,plain,
! [SV85: $i,SV17: $i,SV72: $i] :
( ( ~ ( leq @ SV72 @ SV17 )
| ~ ( leq @ SV17 @ SV85 )
| ( in_closed @ SV17 @ SV72 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(432,plain,
! [SV17: $i] :
( ( ~ ! [SY155: $i] :
( ! [SY156: $i] :
~ ( in_closed @ SV17 @ SY155 @ SY156 )
| ( leq @ SY155 @ SV17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(433,plain,
! [SV17: $i] :
( ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( in_closed @ SV17 @ SY157 @ SY158 )
| ( leq @ SV17 @ SY158 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(434,plain,
! [SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ~ ! [SY339: $i,SY340: $i] :
( ~ ( in_closed @ SV18 @ SV48 @ SV57 )
| ~ ( in_closed @ SV37 @ SY339 @ SY340 )
| ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY339 @ SY340 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(435,plain,
! [SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ~ ~ ( ~ ( ! [SY341: $i,SY342: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY341 @ SY342 )
| ( in_closed @ SV18 @ SV48 @ SV57 ) )
| ~ ! [SY343: $i,SY344: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY343 @ SY344 )
| ( in_closed @ SV37 @ SY343 @ SY344 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(436,plain,
! [SV86: $i,SV38: $i,SV19: $i] :
( ( ! [SY404: $i] :
( ! [SY405: $i] :
( ~ ( in_closed @ SY405 @ SV19 @ SV38 )
| ~ ( in_closed @ SY405 @ SV86 @ SY404 ) )
| ( axis_compatible @ SV19 @ SV38 @ SV86 @ SY404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(437,plain,
! [SV87: $i,SV38: $i,SV19: $i] :
( ( ! [SY406: $i] :
( ~ ( axis_compatible @ SV19 @ SV38 @ SV87 @ SY406 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY406 @ SV87 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SY406 @ SV87 @ SV38 @ SV19 ) @ SV87 @ SY406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(438,plain,
! [SV88: $i,SV20: $i,SV73: $i] :
( ( ~ ( less @ SV73 @ SV20 )
| ~ ( less @ SV20 @ SV88 )
| ( in_open @ SV20 @ SV73 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(439,plain,
! [SV20: $i] :
( ( ~ ! [SY176: $i] :
( ! [SY177: $i] :
~ ( in_open @ SV20 @ SY176 @ SY177 )
| ( less @ SY176 @ SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(440,plain,
! [SV20: $i] :
( ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( in_open @ SV20 @ SY178 @ SY179 )
| ( less @ SV20 @ SY179 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(441,plain,
! [SV74: $i,SV58: $i] :
( ( ( SV58 != SV74 )
= $true )
| ( ( in_closed @ SV58 @ SV74 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(442,plain,
! [SV75: $i,SV59: $i] :
( ( ( ~ ( in_closed @ SV59 @ SV75 @ SV75 ) )
= $true )
| ( ( SV59 = SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(443,plain,
! [SV89: $i,SV39: $i,SV21: $i] :
( ( ! [SY407: $i] :
( ~ ( axis_conflict @ SV21 @ SV39 @ SV89 @ SY407 )
| ! [SY408: $i] :
( ~ ( in_closed @ SY408 @ SV21 @ SV39 )
| ~ ( in_closed @ SY408 @ SV89 @ SY407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(444,plain,
! [SV21: $i,SV39: $i,SV90: $i] :
( ( ! [SY409: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY409 @ SV90 @ SV39 @ SV21 ) @ SV21 @ SV39 )
| ~ ( in_closed @ ( sK3_X @ SY409 @ SV90 @ SV39 @ SV21 ) @ SV90 @ SY409 ) )
| ( axis_conflict @ SV21 @ SV39 @ SV90 @ SY409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(445,plain,
! [SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ~ ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SY410 @ SY411 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY410 @ SY411 ) )
| ~ ~ ( ~ ( ! [SY412: $i,SY413: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY412 @ SY413 )
| ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 ) )
| ~ ! [SY414: $i,SY415: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY414 @ SY415 )
| ( axis_compatible @ SV49 @ SV60 @ SY414 @ SY415 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(446,plain,
! [SV77: $i,SV92: $i,SV23: $i] :
( ( ~ ( leq @ SV23 @ SV92 )
| ~ ( less @ SV77 @ SV23 )
| ( in_lopen @ SV23 @ SV77 @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(447,plain,
! [SV23: $i] :
( ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( in_lopen @ SV23 @ SY199 @ SY200 )
| ( leq @ SV23 @ SY200 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(448,plain,
! [SV23: $i] :
( ( ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( in_lopen @ SV23 @ SY201 @ SY202 )
| ( less @ SY201 @ SV23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(449,plain,
! [SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY416 @ SY417 )
| ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ( axis_conflict @ SV50 @ SV61 @ SY416 @ SY417 ) )
| ~ ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) )
| ~ ! [SY420: $i,SY421: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY420 @ SY421 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY420 @ SY421 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(450,plain,
! [SV94: $i,SV25: $i,SV79: $i] :
( ( ~ ( leq @ SV79 @ SV25 )
| ~ ( less @ SV25 @ SV94 )
| ( in_ropen @ SV25 @ SV79 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(451,plain,
! [SV25: $i] :
( ( ~ ! [SY216: $i] :
( ! [SY217: $i] :
~ ( in_ropen @ SV25 @ SY216 @ SY217 )
| ( leq @ SY216 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(452,plain,
! [SV25: $i] :
( ( ~ ! [SY218: $i,SY219: $i] :
( ~ ( in_ropen @ SV25 @ SY218 @ SY219 )
| ( less @ SV25 @ SY219 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(453,plain,
! [SV26: $i,SV42: $i,SV95: $i] :
( ( ! [SY422: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY422 @ SV95 @ SV42 @ SV26 ) @ SV26 @ SV42 )
| ~ ~ ( in_closed @ ( sK1_X @ SY422 @ SV95 @ SV42 @ SV26 ) @ SV95 @ SY422 ) )
| ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SY422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(454,plain,
! [SV96: $i,SV42: $i,SV26: $i] :
( ( ! [SY423: $i] :
( ~ ( axis_subsumes @ SV26 @ SV42 @ SV96 @ SY423 )
| ! [SY424: $i] :
( ~ ( in_closed @ SY424 @ SV26 @ SV42 )
| ( in_closed @ SY424 @ SV96 @ SY423 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(455,plain,
! [SV2: $i,SV43: $i,SV27: $i] :
( ( ( less @ SV27 @ SV43 )
= $false )
| ( ( less @ SV2 @ SV27 )
= $false )
| ( ( less @ SV2 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(456,plain,
! [SV6: $i,SV44: $i,SV31: $i] :
( ( ( less @ SV31 @ SV44 )
= $false )
| ( ( leq @ SV6 @ SV31 )
= $false )
| ( ( less @ SV6 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(457,plain,
! [SV45: $i,SV32: $i,SV7: $i] :
( ( ( less @ SV7 @ SV32 )
= $false )
| ( ( leq @ SV32 @ SV45 )
= $false )
| ( ( less @ SV7 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(458,plain,
! [SV8: $i,SV46: $i,SV33: $i] :
( ( ( leq @ SV33 @ SV46 )
= $false )
| ( ( leq @ SV8 @ SV33 )
= $false )
| ( ( leq @ SV8 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(459,plain,
! [SV34: $i,SV10: $i] :
( ( ( is_verdict @ SV10 )
= $false )
| ( ( ~ ( is_verdict @ SV34 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV34 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV34 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(460,plain,
! [SV35: $i,SV11: $i] :
( ( ( ( box_verdict @ SV11 @ SV35 )
= unknown )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV35 )
= conflict )
| ( ( box_verdict @ SV11 @ SV35 )
= compatible ) )
= $true )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( is_verdict @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(461,plain,
! [SV80: $i,SV12: $i,SV62: $i] :
( ( ( ~ ( leq @ SV62 @ SV12 )
| ~ ( less @ SV12 @ SV80 ) )
= $true )
| ( ( in_ropen @ SV12 @ SV62 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(462,plain,
! [SV12: $i] :
( ( ! [SY117: $i] :
( ! [SY118: $i] :
~ ( in_ropen @ SV12 @ SY117 @ SY118 )
| ( leq @ SY117 @ SV12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(463,plain,
! [SV12: $i] :
( ( ! [SY119: $i,SY120: $i] :
( ~ ( in_ropen @ SV12 @ SY119 @ SY120 )
| ( less @ SV12 @ SY120 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(464,plain,
! [SV81: $i,SV13: $i,SV63: $i] :
( ( ( ~ ( leq @ SV63 @ SV13 )
| ~ ( leq @ SV13 @ SV81 ) )
= $true )
| ( ( in_closed @ SV13 @ SV63 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(465,plain,
! [SV13: $i] :
( ( ! [SY123: $i] :
( ! [SY124: $i] :
~ ( in_closed @ SV13 @ SY123 @ SY124 )
| ( leq @ SY123 @ SV13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(466,plain,
! [SV13: $i] :
( ( ! [SY125: $i,SY126: $i] :
( ~ ( in_closed @ SV13 @ SY125 @ SY126 )
| ( leq @ SV13 @ SY126 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(467,plain,
! [SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ~ ( ~ ! [SY425: $i,SY426: $i] :
( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SV97 )
| ~ ( in_closed @ SV47 @ SY425 @ SY426 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY425 @ SY426 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) )
| ~ ! [SY431: $i,SY432: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY431 @ SY432 )
| ( in_closed @ SV47 @ SY431 @ SY432 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(468,plain,
! [SV52: $i,SV65: $i] :
( ( ( SV65 = conflict )
= $true )
| ( ( ( SV52 = conflict )
| ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SV65 )
| ( SV52 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV52 @ SV65 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(469,plain,
! [SV53: $i,SV66: $i] :
( ( ( SV66 = conflict )
= $true )
| ( ( ( SV53 = conflict )
| ~ ( is_verdict @ SV53 )
| ~ ( is_verdict @ SV66 )
| ( SV66 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV53 @ SV66 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(470,plain,
! [SV83: $i,SV15: $i,SV67: $i] :
( ( ( ~ ( less @ SV67 @ SV15 )
| ~ ( less @ SV15 @ SV83 ) )
= $true )
| ( ( in_open @ SV15 @ SV67 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(471,plain,
! [SV15: $i] :
( ( ! [SY143: $i] :
( ! [SY144: $i] :
~ ( in_open @ SV15 @ SY143 @ SY144 )
| ( less @ SY143 @ SV15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(472,plain,
! [SV15: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ( in_open @ SV15 @ SY145 @ SY146 )
| ( less @ SV15 @ SY146 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(473,plain,
! [SV68: $i,SV84: $i,SV16: $i] :
( ( ( ~ ( leq @ SV16 @ SV84 )
| ~ ( less @ SV68 @ SV16 ) )
= $true )
| ( ( in_lopen @ SV16 @ SV68 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(474,plain,
! [SV16: $i] :
( ( ! [SY149: $i,SY150: $i] :
( ~ ( in_lopen @ SV16 @ SY149 @ SY150 )
| ( leq @ SV16 @ SY150 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(475,plain,
! [SV16: $i] :
( ( ! [SY151: $i] :
( ! [SY152: $i] :
~ ( in_lopen @ SV16 @ SY151 @ SY152 )
| ( less @ SY151 @ SV16 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(476,plain,
! [SV69: $i,SV54: $i] :
( ( ( leq @ SV54 @ SV69 )
= $false )
| ( ( ( SV54 = SV69 )
| ( less @ SV54 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(477,plain,
! [SV98: $i] :
( ( ! [SY433: $i] :
( ( SV98 != SY433 )
| ( leq @ SV98 @ SY433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(478,plain,
! [SV99: $i] :
( ( ! [SY434: $i] :
( ~ ( less @ SV99 @ SY434 )
| ( leq @ SV99 @ SY434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(479,plain,
! [SV70: $i,SV55: $i] :
( ( ( ~ ( is_verdict @ SV55 )
| ~ ( is_verdict @ SV70 ) )
= $true )
| ( ( SV55 != conflict )
= $true )
| ( ( ( box_verdict @ SV55 @ SV70 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(480,plain,
! [SV71: $i,SV56: $i] :
( ( ( ~ ( is_verdict @ SV56 )
| ~ ( is_verdict @ SV71 ) )
= $true )
| ( ( SV71 != conflict )
= $true )
| ( ( ( box_verdict @ SV56 @ SV71 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(481,plain,
( ( v400 = v800 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(482,plain,
( ( ~ ( ( v400 != v600 ) )
| ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(483,plain,
! [SV85: $i,SV17: $i,SV72: $i] :
( ( ( ~ ( leq @ SV72 @ SV17 )
| ~ ( leq @ SV17 @ SV85 ) )
= $true )
| ( ( in_closed @ SV17 @ SV72 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(484,plain,
! [SV17: $i] :
( ( ! [SY155: $i] :
( ! [SY156: $i] :
~ ( in_closed @ SV17 @ SY155 @ SY156 )
| ( leq @ SY155 @ SV17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(485,plain,
! [SV17: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ~ ( in_closed @ SV17 @ SY157 @ SY158 )
| ( leq @ SV17 @ SY158 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(486,plain,
! [SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ! [SY339: $i,SY340: $i] :
( ~ ( in_closed @ SV18 @ SV48 @ SV57 )
| ~ ( in_closed @ SV37 @ SY339 @ SY340 )
| ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY339 @ SY340 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(487,plain,
! [SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ~ ( ~ ( ! [SY341: $i,SY342: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY341 @ SY342 )
| ( in_closed @ SV18 @ SV48 @ SV57 ) )
| ~ ! [SY343: $i,SY344: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY343 @ SY344 )
| ( in_closed @ SV37 @ SY343 @ SY344 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(488,plain,
! [SV100: $i,SV86: $i,SV38: $i,SV19: $i] :
( ( ! [SY435: $i] :
( ~ ( in_closed @ SY435 @ SV19 @ SV38 )
| ~ ( in_closed @ SY435 @ SV86 @ SV100 ) )
| ( axis_compatible @ SV19 @ SV38 @ SV86 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(489,plain,
! [SV101: $i,SV87: $i,SV38: $i,SV19: $i] :
( ( ~ ( axis_compatible @ SV19 @ SV38 @ SV87 @ SV101 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV87 @ SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(490,plain,
! [SV88: $i,SV20: $i,SV73: $i] :
( ( ( ~ ( less @ SV73 @ SV20 )
| ~ ( less @ SV20 @ SV88 ) )
= $true )
| ( ( in_open @ SV20 @ SV73 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(491,plain,
! [SV20: $i] :
( ( ! [SY176: $i] :
( ! [SY177: $i] :
~ ( in_open @ SV20 @ SY176 @ SY177 )
| ( less @ SY176 @ SV20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(492,plain,
! [SV20: $i] :
( ( ! [SY178: $i,SY179: $i] :
( ~ ( in_open @ SV20 @ SY178 @ SY179 )
| ( less @ SV20 @ SY179 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(493,plain,
! [SV74: $i,SV58: $i] :
( ( ( SV58 = SV74 )
= $false )
| ( ( in_closed @ SV58 @ SV74 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(494,plain,
! [SV75: $i,SV59: $i] :
( ( ( in_closed @ SV59 @ SV75 @ SV75 )
= $false )
| ( ( SV59 = SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(495,plain,
! [SV102: $i,SV89: $i,SV39: $i,SV21: $i] :
( ( ~ ( axis_conflict @ SV21 @ SV39 @ SV89 @ SV102 )
| ! [SY436: $i] :
( ~ ( in_closed @ SY436 @ SV21 @ SV39 )
| ~ ( in_closed @ SY436 @ SV89 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(496,plain,
! [SV21: $i,SV39: $i,SV90: $i,SV103: $i] :
( ( ~ ( ~ ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV21 @ SV39 )
| ~ ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV90 @ SV103 ) )
| ( axis_conflict @ SV21 @ SV39 @ SV90 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(497,plain,
! [SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SY410 @ SY411 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY410 @ SY411 ) )
| ~ ~ ( ~ ( ! [SY412: $i,SY413: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY412 @ SY413 )
| ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 ) )
| ~ ! [SY414: $i,SY415: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY414 @ SY415 )
| ( axis_compatible @ SV49 @ SV60 @ SY414 @ SY415 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(498,plain,
! [SV77: $i,SV92: $i,SV23: $i] :
( ( ( ~ ( leq @ SV23 @ SV92 )
| ~ ( less @ SV77 @ SV23 ) )
= $true )
| ( ( in_lopen @ SV23 @ SV77 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(499,plain,
! [SV23: $i] :
( ( ! [SY199: $i,SY200: $i] :
( ~ ( in_lopen @ SV23 @ SY199 @ SY200 )
| ( leq @ SV23 @ SY200 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(500,plain,
! [SV23: $i] :
( ( ! [SY201: $i] :
( ! [SY202: $i] :
~ ( in_lopen @ SV23 @ SY201 @ SY202 )
| ( less @ SY201 @ SV23 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(501,plain,
! [SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY416 @ SY417 )
| ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ( axis_conflict @ SV50 @ SV61 @ SY416 @ SY417 ) )
| ~ ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) )
| ~ ! [SY420: $i,SY421: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY420 @ SY421 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY420 @ SY421 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(502,plain,
! [SV94: $i,SV25: $i,SV79: $i] :
( ( ( ~ ( leq @ SV79 @ SV25 )
| ~ ( less @ SV25 @ SV94 ) )
= $true )
| ( ( in_ropen @ SV25 @ SV79 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(503,plain,
! [SV25: $i] :
( ( ! [SY216: $i] :
( ! [SY217: $i] :
~ ( in_ropen @ SV25 @ SY216 @ SY217 )
| ( leq @ SY216 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(504,plain,
! [SV25: $i] :
( ( ! [SY218: $i,SY219: $i] :
( ~ ( in_ropen @ SV25 @ SY218 @ SY219 )
| ( less @ SV25 @ SY219 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(505,plain,
! [SV26: $i,SV42: $i,SV95: $i,SV104: $i] :
( ( ~ ( ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV26 @ SV42 )
| ~ ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV95 @ SV104 ) )
| ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(506,plain,
! [SV105: $i,SV96: $i,SV42: $i,SV26: $i] :
( ( ~ ( axis_subsumes @ SV26 @ SV42 @ SV96 @ SV105 )
| ! [SY437: $i] :
( ~ ( in_closed @ SY437 @ SV26 @ SV42 )
| ( in_closed @ SY437 @ SV96 @ SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(507,plain,
! [SV10: $i,SV34: $i] :
( ( ( is_verdict @ SV34 )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( SV10 != compatible )
= $true )
| ( ( SV34 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV34 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(508,plain,
! [SV35: $i,SV11: $i] :
( ( ( ( box_verdict @ SV11 @ SV35 )
= conflict )
= $true )
| ( ( ( box_verdict @ SV11 @ SV35 )
= compatible )
= $true )
| ( ( ( box_verdict @ SV11 @ SV35 )
= unknown )
= $true )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( is_verdict @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(509,plain,
! [SV80: $i,SV12: $i,SV62: $i] :
( ( ( ~ ( leq @ SV62 @ SV12 ) )
= $true )
| ( ( ~ ( less @ SV12 @ SV80 ) )
= $true )
| ( ( in_ropen @ SV12 @ SV62 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(510,plain,
! [SV106: $i,SV12: $i] :
( ( ! [SY438: $i] :
~ ( in_ropen @ SV12 @ SV106 @ SY438 )
| ( leq @ SV106 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(511,plain,
! [SV107: $i,SV12: $i] :
( ( ! [SY439: $i] :
( ~ ( in_ropen @ SV12 @ SV107 @ SY439 )
| ( less @ SV12 @ SY439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(512,plain,
! [SV81: $i,SV13: $i,SV63: $i] :
( ( ( ~ ( leq @ SV63 @ SV13 ) )
= $true )
| ( ( ~ ( leq @ SV13 @ SV81 ) )
= $true )
| ( ( in_closed @ SV13 @ SV63 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(513,plain,
! [SV108: $i,SV13: $i] :
( ( ! [SY440: $i] :
~ ( in_closed @ SV13 @ SV108 @ SY440 )
| ( leq @ SV108 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(514,plain,
! [SV109: $i,SV13: $i] :
( ( ! [SY441: $i] :
( ~ ( in_closed @ SV13 @ SV109 @ SY441 )
| ( leq @ SV13 @ SY441 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(515,plain,
! [SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ~ ! [SY425: $i,SY426: $i] :
( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SV97 )
| ~ ( in_closed @ SV47 @ SY425 @ SY426 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY425 @ SY426 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) )
| ~ ! [SY431: $i,SY432: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY431 @ SY432 )
| ( in_closed @ SV47 @ SY431 @ SY432 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(516,plain,
! [SV65: $i,SV52: $i] :
( ( ( SV52 = conflict )
= $true )
| ( ( ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SV65 )
| ( SV52 != unknown ) )
= $true )
| ( ( SV65 = conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV65 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(517,plain,
! [SV66: $i,SV53: $i] :
( ( ( SV53 = conflict )
= $true )
| ( ( ~ ( is_verdict @ SV53 )
| ~ ( is_verdict @ SV66 )
| ( SV66 != unknown ) )
= $true )
| ( ( SV66 = conflict )
= $true )
| ( ( ( box_verdict @ SV53 @ SV66 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(518,plain,
! [SV83: $i,SV15: $i,SV67: $i] :
( ( ( ~ ( less @ SV67 @ SV15 ) )
= $true )
| ( ( ~ ( less @ SV15 @ SV83 ) )
= $true )
| ( ( in_open @ SV15 @ SV67 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(519,plain,
! [SV110: $i,SV15: $i] :
( ( ! [SY442: $i] :
~ ( in_open @ SV15 @ SV110 @ SY442 )
| ( less @ SV110 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(520,plain,
! [SV111: $i,SV15: $i] :
( ( ! [SY443: $i] :
( ~ ( in_open @ SV15 @ SV111 @ SY443 )
| ( less @ SV15 @ SY443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(521,plain,
! [SV68: $i,SV84: $i,SV16: $i] :
( ( ( ~ ( leq @ SV16 @ SV84 ) )
= $true )
| ( ( ~ ( less @ SV68 @ SV16 ) )
= $true )
| ( ( in_lopen @ SV16 @ SV68 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(522,plain,
! [SV112: $i,SV16: $i] :
( ( ! [SY444: $i] :
( ~ ( in_lopen @ SV16 @ SV112 @ SY444 )
| ( leq @ SV16 @ SY444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(523,plain,
! [SV113: $i,SV16: $i] :
( ( ! [SY445: $i] :
~ ( in_lopen @ SV16 @ SV113 @ SY445 )
| ( less @ SV113 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(524,plain,
! [SV69: $i,SV54: $i] :
( ( ( SV54 = SV69 )
= $true )
| ( ( less @ SV54 @ SV69 )
= $true )
| ( ( leq @ SV54 @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(525,plain,
! [SV114: $i,SV98: $i] :
( ( ( SV98 != SV114 )
| ( leq @ SV98 @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(526,plain,
! [SV115: $i,SV99: $i] :
( ( ~ ( less @ SV99 @ SV115 )
| ( leq @ SV99 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(527,plain,
! [SV70: $i,SV55: $i] :
( ( ( ~ ( is_verdict @ SV55 ) )
= $true )
| ( ( ~ ( is_verdict @ SV70 ) )
= $true )
| ( ( SV55 != conflict )
= $true )
| ( ( ( box_verdict @ SV55 @ SV70 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(528,plain,
! [SV71: $i,SV56: $i] :
( ( ( ~ ( is_verdict @ SV56 ) )
= $true )
| ( ( ~ ( is_verdict @ SV71 ) )
= $true )
| ( ( SV71 != conflict )
= $true )
| ( ( ( box_verdict @ SV56 @ SV71 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(529,plain,
( ( ~ ( ( v400 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(530,plain,
( ( ~ ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(531,plain,
! [SV85: $i,SV17: $i,SV72: $i] :
( ( ( ~ ( leq @ SV72 @ SV17 ) )
= $true )
| ( ( ~ ( leq @ SV17 @ SV85 ) )
= $true )
| ( ( in_closed @ SV17 @ SV72 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(532,plain,
! [SV116: $i,SV17: $i] :
( ( ! [SY446: $i] :
~ ( in_closed @ SV17 @ SV116 @ SY446 )
| ( leq @ SV116 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(533,plain,
! [SV117: $i,SV17: $i] :
( ( ! [SY447: $i] :
( ~ ( in_closed @ SV17 @ SV117 @ SY447 )
| ( leq @ SV17 @ SY447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(534,plain,
! [SV118: $i,SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ! [SY448: $i] :
( ~ ( in_closed @ SV18 @ SV48 @ SV57 )
| ~ ( in_closed @ SV37 @ SV118 @ SY448 )
| ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV118 @ SY448 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(535,plain,
! [SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ~ ( ! [SY341: $i,SY342: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY341 @ SY342 )
| ( in_closed @ SV18 @ SV48 @ SV57 ) )
| ~ ! [SY343: $i,SY344: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY343 @ SY344 )
| ( in_closed @ SV37 @ SY343 @ SY344 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(536,plain,
! [SV100: $i,SV86: $i,SV38: $i,SV19: $i] :
( ( ( ! [SY435: $i] :
( ~ ( in_closed @ SY435 @ SV19 @ SV38 )
| ~ ( in_closed @ SY435 @ SV86 @ SV100 ) ) )
= $true )
| ( ( axis_compatible @ SV19 @ SV38 @ SV86 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(537,plain,
! [SV101: $i,SV87: $i,SV38: $i,SV19: $i] :
( ( ( ~ ( axis_compatible @ SV19 @ SV38 @ SV87 @ SV101 ) )
= $true )
| ( ( ~ ( ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV87 @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(538,plain,
! [SV88: $i,SV20: $i,SV73: $i] :
( ( ( ~ ( less @ SV73 @ SV20 ) )
= $true )
| ( ( ~ ( less @ SV20 @ SV88 ) )
= $true )
| ( ( in_open @ SV20 @ SV73 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(539,plain,
! [SV119: $i,SV20: $i] :
( ( ! [SY449: $i] :
~ ( in_open @ SV20 @ SV119 @ SY449 )
| ( less @ SV119 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(540,plain,
! [SV120: $i,SV20: $i] :
( ( ! [SY450: $i] :
( ~ ( in_open @ SV20 @ SV120 @ SY450 )
| ( less @ SV20 @ SY450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(541,plain,
! [SV102: $i,SV89: $i,SV39: $i,SV21: $i] :
( ( ( ~ ( axis_conflict @ SV21 @ SV39 @ SV89 @ SV102 ) )
= $true )
| ( ( ! [SY436: $i] :
( ~ ( in_closed @ SY436 @ SV21 @ SV39 )
| ~ ( in_closed @ SY436 @ SV89 @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(542,plain,
! [SV21: $i,SV39: $i,SV90: $i,SV103: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV21 @ SV39 )
| ~ ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV90 @ SV103 ) ) )
= $true )
| ( ( axis_conflict @ SV21 @ SV39 @ SV90 @ SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(543,plain,
! [SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SY410 @ SY411 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY410 @ SY411 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(544,plain,
! [SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ~ ~ ( ~ ( ! [SY412: $i,SY413: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY412 @ SY413 )
| ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 ) )
| ~ ! [SY414: $i,SY415: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY414 @ SY415 )
| ( axis_compatible @ SV49 @ SV60 @ SY414 @ SY415 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(545,plain,
! [SV77: $i,SV92: $i,SV23: $i] :
( ( ( ~ ( leq @ SV23 @ SV92 ) )
= $true )
| ( ( ~ ( less @ SV77 @ SV23 ) )
= $true )
| ( ( in_lopen @ SV23 @ SV77 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(546,plain,
! [SV121: $i,SV23: $i] :
( ( ! [SY451: $i] :
( ~ ( in_lopen @ SV23 @ SV121 @ SY451 )
| ( leq @ SV23 @ SY451 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(547,plain,
! [SV122: $i,SV23: $i] :
( ( ! [SY452: $i] :
~ ( in_lopen @ SV23 @ SV122 @ SY452 )
| ( less @ SV122 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(548,plain,
! [SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY416 @ SY417 )
| ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ( axis_conflict @ SV50 @ SV61 @ SY416 @ SY417 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(549,plain,
! [SV61: $i,SV50: $i,SV93: $i,SV78: $i,SV41: $i,SV24: $i] :
( ( ~ ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) )
| ~ ! [SY420: $i,SY421: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY420 @ SY421 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY420 @ SY421 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(550,plain,
! [SV94: $i,SV25: $i,SV79: $i] :
( ( ( ~ ( leq @ SV79 @ SV25 ) )
= $true )
| ( ( ~ ( less @ SV25 @ SV94 ) )
= $true )
| ( ( in_ropen @ SV25 @ SV79 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(551,plain,
! [SV123: $i,SV25: $i] :
( ( ! [SY453: $i] :
~ ( in_ropen @ SV25 @ SV123 @ SY453 )
| ( leq @ SV123 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(552,plain,
! [SV124: $i,SV25: $i] :
( ( ! [SY454: $i] :
( ~ ( in_ropen @ SV25 @ SV124 @ SY454 )
| ( less @ SV25 @ SY454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(553,plain,
! [SV26: $i,SV42: $i,SV95: $i,SV104: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV26 @ SV42 )
| ~ ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV95 @ SV104 ) ) )
= $true )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(554,plain,
! [SV105: $i,SV96: $i,SV42: $i,SV26: $i] :
( ( ( ~ ( axis_subsumes @ SV26 @ SV42 @ SV96 @ SV105 ) )
= $true )
| ( ( ! [SY437: $i] :
( ~ ( in_closed @ SY437 @ SV26 @ SV42 )
| ( in_closed @ SY437 @ SV96 @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(555,plain,
! [SV34: $i,SV10: $i] :
( ( ( SV10 = compatible )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( is_verdict @ SV34 )
= $false )
| ( ( SV34 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV34 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(556,plain,
! [SV80: $i,SV12: $i,SV62: $i] :
( ( ( leq @ SV62 @ SV12 )
= $false )
| ( ( ~ ( less @ SV12 @ SV80 ) )
= $true )
| ( ( in_ropen @ SV12 @ SV62 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(557,plain,
! [SV106: $i,SV12: $i] :
( ( ( ! [SY438: $i] :
~ ( in_ropen @ SV12 @ SV106 @ SY438 ) )
= $true )
| ( ( leq @ SV106 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(558,plain,
! [SV125: $i,SV107: $i,SV12: $i] :
( ( ~ ( in_ropen @ SV12 @ SV107 @ SV125 )
| ( less @ SV12 @ SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(559,plain,
! [SV81: $i,SV13: $i,SV63: $i] :
( ( ( leq @ SV63 @ SV13 )
= $false )
| ( ( ~ ( leq @ SV13 @ SV81 ) )
= $true )
| ( ( in_closed @ SV13 @ SV63 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(560,plain,
! [SV108: $i,SV13: $i] :
( ( ( ! [SY440: $i] :
~ ( in_closed @ SV13 @ SV108 @ SY440 ) )
= $true )
| ( ( leq @ SV108 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(561,plain,
! [SV126: $i,SV109: $i,SV13: $i] :
( ( ~ ( in_closed @ SV13 @ SV109 @ SV126 )
| ( leq @ SV13 @ SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(562,plain,
! [SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ~ ! [SY425: $i,SY426: $i] :
( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SV97 )
| ~ ( in_closed @ SV47 @ SY425 @ SY426 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY425 @ SY426 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(563,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) )
| ~ ! [SY431: $i,SY432: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY431 @ SY432 )
| ( in_closed @ SV47 @ SY431 @ SY432 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(564,plain,
! [SV65: $i,SV52: $i] :
( ( ( ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SV65 ) )
= $true )
| ( ( SV52 != unknown )
= $true )
| ( ( SV52 = conflict )
= $true )
| ( ( SV65 = conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV65 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(565,plain,
! [SV66: $i,SV53: $i] :
( ( ( ~ ( is_verdict @ SV53 )
| ~ ( is_verdict @ SV66 ) )
= $true )
| ( ( SV66 != unknown )
= $true )
| ( ( SV53 = conflict )
= $true )
| ( ( SV66 = conflict )
= $true )
| ( ( ( box_verdict @ SV53 @ SV66 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(566,plain,
! [SV83: $i,SV15: $i,SV67: $i] :
( ( ( less @ SV67 @ SV15 )
= $false )
| ( ( ~ ( less @ SV15 @ SV83 ) )
= $true )
| ( ( in_open @ SV15 @ SV67 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(567,plain,
! [SV110: $i,SV15: $i] :
( ( ( ! [SY442: $i] :
~ ( in_open @ SV15 @ SV110 @ SY442 ) )
= $true )
| ( ( less @ SV110 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(568,plain,
! [SV127: $i,SV111: $i,SV15: $i] :
( ( ~ ( in_open @ SV15 @ SV111 @ SV127 )
| ( less @ SV15 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(569,plain,
! [SV68: $i,SV84: $i,SV16: $i] :
( ( ( leq @ SV16 @ SV84 )
= $false )
| ( ( ~ ( less @ SV68 @ SV16 ) )
= $true )
| ( ( in_lopen @ SV16 @ SV68 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(570,plain,
! [SV128: $i,SV112: $i,SV16: $i] :
( ( ~ ( in_lopen @ SV16 @ SV112 @ SV128 )
| ( leq @ SV16 @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(571,plain,
! [SV113: $i,SV16: $i] :
( ( ( ! [SY445: $i] :
~ ( in_lopen @ SV16 @ SV113 @ SY445 ) )
= $true )
| ( ( less @ SV113 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(572,plain,
! [SV114: $i,SV98: $i] :
( ( ( SV98 != SV114 )
= $true )
| ( ( leq @ SV98 @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(573,plain,
! [SV115: $i,SV99: $i] :
( ( ( ~ ( less @ SV99 @ SV115 ) )
= $true )
| ( ( leq @ SV99 @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(574,plain,
! [SV70: $i,SV55: $i] :
( ( ( is_verdict @ SV55 )
= $false )
| ( ( ~ ( is_verdict @ SV70 ) )
= $true )
| ( ( SV55 != conflict )
= $true )
| ( ( ( box_verdict @ SV55 @ SV70 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(575,plain,
! [SV71: $i,SV56: $i] :
( ( ( is_verdict @ SV56 )
= $false )
| ( ( ~ ( is_verdict @ SV71 ) )
= $true )
| ( ( SV71 != conflict )
= $true )
| ( ( ( box_verdict @ SV56 @ SV71 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(576,plain,
( ( v400 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(577,plain,
( ( ~ ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(578,plain,
! [SV85: $i,SV17: $i,SV72: $i] :
( ( ( leq @ SV72 @ SV17 )
= $false )
| ( ( ~ ( leq @ SV17 @ SV85 ) )
= $true )
| ( ( in_closed @ SV17 @ SV72 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(579,plain,
! [SV116: $i,SV17: $i] :
( ( ( ! [SY446: $i] :
~ ( in_closed @ SV17 @ SV116 @ SY446 ) )
= $true )
| ( ( leq @ SV116 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(580,plain,
! [SV129: $i,SV117: $i,SV17: $i] :
( ( ~ ( in_closed @ SV17 @ SV117 @ SV129 )
| ( leq @ SV17 @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(581,plain,
! [SV130: $i,SV118: $i,SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ~ ( in_closed @ SV18 @ SV48 @ SV57 )
| ~ ( in_closed @ SV37 @ SV118 @ SV130 )
| ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV118 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(582,plain,
! [SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ~ ( ! [SY341: $i,SY342: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY341 @ SY342 )
| ( in_closed @ SV18 @ SV48 @ SV57 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(583,plain,
! [SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ~ ! [SY343: $i,SY344: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY343 @ SY344 )
| ( in_closed @ SV37 @ SY343 @ SY344 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(584,plain,
! [SV100: $i,SV86: $i,SV38: $i,SV19: $i,SV131: $i] :
( ( ( ~ ( in_closed @ SV131 @ SV19 @ SV38 )
| ~ ( in_closed @ SV131 @ SV86 @ SV100 ) )
= $true )
| ( ( axis_compatible @ SV19 @ SV38 @ SV86 @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(585,plain,
! [SV101: $i,SV87: $i,SV38: $i,SV19: $i] :
( ( ( axis_compatible @ SV19 @ SV38 @ SV87 @ SV101 )
= $false )
| ( ( ~ ( ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV87 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(586,plain,
! [SV88: $i,SV20: $i,SV73: $i] :
( ( ( less @ SV73 @ SV20 )
= $false )
| ( ( ~ ( less @ SV20 @ SV88 ) )
= $true )
| ( ( in_open @ SV20 @ SV73 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(587,plain,
! [SV119: $i,SV20: $i] :
( ( ( ! [SY449: $i] :
~ ( in_open @ SV20 @ SV119 @ SY449 ) )
= $true )
| ( ( less @ SV119 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(588,plain,
! [SV132: $i,SV120: $i,SV20: $i] :
( ( ~ ( in_open @ SV20 @ SV120 @ SV132 )
| ( less @ SV20 @ SV132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(589,plain,
! [SV102: $i,SV89: $i,SV39: $i,SV21: $i] :
( ( ( axis_conflict @ SV21 @ SV39 @ SV89 @ SV102 )
= $false )
| ( ( ! [SY436: $i] :
( ~ ( in_closed @ SY436 @ SV21 @ SV39 )
| ~ ( in_closed @ SY436 @ SV89 @ SV102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(590,plain,
! [SV21: $i,SV39: $i,SV90: $i,SV103: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV21 @ SV39 )
| ~ ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV90 @ SV103 ) )
= $false )
| ( ( axis_conflict @ SV21 @ SV39 @ SV90 @ SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(591,plain,
! [SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ! [SY410: $i,SY411: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SY410 @ SY411 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY410 @ SY411 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(592,plain,
! [SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ~ ( ~ ( ! [SY412: $i,SY413: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY412 @ SY413 )
| ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 ) )
| ~ ! [SY414: $i,SY415: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY414 @ SY415 )
| ( axis_compatible @ SV49 @ SV60 @ SY414 @ SY415 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(593,plain,
! [SV77: $i,SV92: $i,SV23: $i] :
( ( ( leq @ SV23 @ SV92 )
= $false )
| ( ( ~ ( less @ SV77 @ SV23 ) )
= $true )
| ( ( in_lopen @ SV23 @ SV77 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(594,plain,
! [SV133: $i,SV121: $i,SV23: $i] :
( ( ~ ( in_lopen @ SV23 @ SV121 @ SV133 )
| ( leq @ SV23 @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(595,plain,
! [SV122: $i,SV23: $i] :
( ( ( ! [SY452: $i] :
~ ( in_lopen @ SV23 @ SV122 @ SY452 ) )
= $true )
| ( ( less @ SV122 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(596,plain,
! [SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ! [SY416: $i,SY417: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY416 @ SY417 )
| ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ( axis_conflict @ SV50 @ SV61 @ SY416 @ SY417 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(597,plain,
! [SV61: $i,SV50: $i,SV93: $i,SV78: $i,SV41: $i,SV24: $i] :
( ( ~ ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) )
| ~ ! [SY420: $i,SY421: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY420 @ SY421 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY420 @ SY421 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(598,plain,
! [SV94: $i,SV25: $i,SV79: $i] :
( ( ( leq @ SV79 @ SV25 )
= $false )
| ( ( ~ ( less @ SV25 @ SV94 ) )
= $true )
| ( ( in_ropen @ SV25 @ SV79 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(599,plain,
! [SV123: $i,SV25: $i] :
( ( ( ! [SY453: $i] :
~ ( in_ropen @ SV25 @ SV123 @ SY453 ) )
= $true )
| ( ( leq @ SV123 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(600,plain,
! [SV134: $i,SV124: $i,SV25: $i] :
( ( ~ ( in_ropen @ SV25 @ SV124 @ SV134 )
| ( less @ SV25 @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(601,plain,
! [SV26: $i,SV42: $i,SV95: $i,SV104: $i] :
( ( ( ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV26 @ SV42 )
| ~ ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV95 @ SV104 ) )
= $false )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(602,plain,
! [SV105: $i,SV96: $i,SV42: $i,SV26: $i] :
( ( ( axis_subsumes @ SV26 @ SV42 @ SV96 @ SV105 )
= $false )
| ( ( ! [SY437: $i] :
( ~ ( in_closed @ SY437 @ SV26 @ SV42 )
| ( in_closed @ SY437 @ SV96 @ SV105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(603,plain,
! [SV10: $i,SV34: $i] :
( ( ( SV34 = compatible )
= $false )
| ( ( is_verdict @ SV34 )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( SV10 = compatible )
= $false )
| ( ( ( box_verdict @ SV10 @ SV34 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(604,plain,
! [SV62: $i,SV80: $i,SV12: $i] :
( ( ( less @ SV12 @ SV80 )
= $false )
| ( ( leq @ SV62 @ SV12 )
= $false )
| ( ( in_ropen @ SV12 @ SV62 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(605,plain,
! [SV135: $i,SV106: $i,SV12: $i] :
( ( ( ~ ( in_ropen @ SV12 @ SV106 @ SV135 ) )
= $true )
| ( ( leq @ SV106 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(606,plain,
! [SV125: $i,SV107: $i,SV12: $i] :
( ( ( ~ ( in_ropen @ SV12 @ SV107 @ SV125 ) )
= $true )
| ( ( less @ SV12 @ SV125 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(607,plain,
! [SV63: $i,SV81: $i,SV13: $i] :
( ( ( leq @ SV13 @ SV81 )
= $false )
| ( ( leq @ SV63 @ SV13 )
= $false )
| ( ( in_closed @ SV13 @ SV63 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(608,plain,
! [SV136: $i,SV108: $i,SV13: $i] :
( ( ( ~ ( in_closed @ SV13 @ SV108 @ SV136 ) )
= $true )
| ( ( leq @ SV108 @ SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(609,plain,
! [SV126: $i,SV109: $i,SV13: $i] :
( ( ( ~ ( in_closed @ SV13 @ SV109 @ SV126 ) )
= $true )
| ( ( leq @ SV13 @ SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(610,plain,
! [SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ! [SY425: $i,SY426: $i] :
( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SV97 )
| ~ ( in_closed @ SV47 @ SY425 @ SY426 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY425 @ SY426 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(611,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) )
| ~ ! [SY431: $i,SY432: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY431 @ SY432 )
| ( in_closed @ SV47 @ SY431 @ SY432 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(612,plain,
! [SV65: $i,SV52: $i] :
( ( ( ~ ( is_verdict @ SV52 ) )
= $true )
| ( ( ~ ( is_verdict @ SV65 ) )
= $true )
| ( ( SV52 != unknown )
= $true )
| ( ( SV52 = conflict )
= $true )
| ( ( SV65 = conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV65 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(613,plain,
! [SV66: $i,SV53: $i] :
( ( ( ~ ( is_verdict @ SV53 ) )
= $true )
| ( ( ~ ( is_verdict @ SV66 ) )
= $true )
| ( ( SV66 != unknown )
= $true )
| ( ( SV53 = conflict )
= $true )
| ( ( SV66 = conflict )
= $true )
| ( ( ( box_verdict @ SV53 @ SV66 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[565]) ).
thf(614,plain,
! [SV67: $i,SV83: $i,SV15: $i] :
( ( ( less @ SV15 @ SV83 )
= $false )
| ( ( less @ SV67 @ SV15 )
= $false )
| ( ( in_open @ SV15 @ SV67 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(615,plain,
! [SV137: $i,SV110: $i,SV15: $i] :
( ( ( ~ ( in_open @ SV15 @ SV110 @ SV137 ) )
= $true )
| ( ( less @ SV110 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(616,plain,
! [SV127: $i,SV111: $i,SV15: $i] :
( ( ( ~ ( in_open @ SV15 @ SV111 @ SV127 ) )
= $true )
| ( ( less @ SV15 @ SV127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(617,plain,
! [SV84: $i,SV16: $i,SV68: $i] :
( ( ( less @ SV68 @ SV16 )
= $false )
| ( ( leq @ SV16 @ SV84 )
= $false )
| ( ( in_lopen @ SV16 @ SV68 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(618,plain,
! [SV128: $i,SV112: $i,SV16: $i] :
( ( ( ~ ( in_lopen @ SV16 @ SV112 @ SV128 ) )
= $true )
| ( ( leq @ SV16 @ SV128 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(619,plain,
! [SV138: $i,SV113: $i,SV16: $i] :
( ( ( ~ ( in_lopen @ SV16 @ SV113 @ SV138 ) )
= $true )
| ( ( less @ SV113 @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(620,plain,
! [SV114: $i,SV98: $i] :
( ( ( SV98 = SV114 )
= $false )
| ( ( leq @ SV98 @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(621,plain,
! [SV115: $i,SV99: $i] :
( ( ( less @ SV99 @ SV115 )
= $false )
| ( ( leq @ SV99 @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(622,plain,
! [SV55: $i,SV70: $i] :
( ( ( is_verdict @ SV70 )
= $false )
| ( ( is_verdict @ SV55 )
= $false )
| ( ( SV55 != conflict )
= $true )
| ( ( ( box_verdict @ SV55 @ SV70 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(623,plain,
! [SV56: $i,SV71: $i] :
( ( ( is_verdict @ SV71 )
= $false )
| ( ( is_verdict @ SV56 )
= $false )
| ( ( SV71 != conflict )
= $true )
| ( ( ( box_verdict @ SV56 @ SV71 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(624,plain,
( ( v400 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(625,plain,
( ( ~ ( ( v0 != v800 ) )
| ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(626,plain,
! [SV72: $i,SV85: $i,SV17: $i] :
( ( ( leq @ SV17 @ SV85 )
= $false )
| ( ( leq @ SV72 @ SV17 )
= $false )
| ( ( in_closed @ SV17 @ SV72 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(627,plain,
! [SV139: $i,SV116: $i,SV17: $i] :
( ( ( ~ ( in_closed @ SV17 @ SV116 @ SV139 ) )
= $true )
| ( ( leq @ SV116 @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(628,plain,
! [SV129: $i,SV117: $i,SV17: $i] :
( ( ( ~ ( in_closed @ SV17 @ SV117 @ SV129 ) )
= $true )
| ( ( leq @ SV17 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(629,plain,
! [SV130: $i,SV118: $i,SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ( ~ ( in_closed @ SV18 @ SV48 @ SV57 )
| ~ ( in_closed @ SV37 @ SV118 @ SV130 ) )
= $true )
| ( ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV118 @ SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(630,plain,
! [SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ! [SY341: $i,SY342: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY341 @ SY342 )
| ( in_closed @ SV18 @ SV48 @ SV57 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(631,plain,
! [SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ! [SY343: $i,SY344: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY343 @ SY344 )
| ( in_closed @ SV37 @ SY343 @ SY344 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(632,plain,
! [SV100: $i,SV86: $i,SV38: $i,SV19: $i,SV131: $i] :
( ( ( ~ ( in_closed @ SV131 @ SV19 @ SV38 ) )
= $true )
| ( ( ~ ( in_closed @ SV131 @ SV86 @ SV100 ) )
= $true )
| ( ( axis_compatible @ SV19 @ SV38 @ SV86 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(633,plain,
! [SV19: $i,SV38: $i,SV87: $i,SV101: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV19 @ SV38 )
| ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV87 @ SV101 ) )
= $false )
| ( ( axis_compatible @ SV19 @ SV38 @ SV87 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(634,plain,
! [SV73: $i,SV88: $i,SV20: $i] :
( ( ( less @ SV20 @ SV88 )
= $false )
| ( ( less @ SV73 @ SV20 )
= $false )
| ( ( in_open @ SV20 @ SV73 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(635,plain,
! [SV140: $i,SV119: $i,SV20: $i] :
( ( ( ~ ( in_open @ SV20 @ SV119 @ SV140 ) )
= $true )
| ( ( less @ SV119 @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(636,plain,
! [SV132: $i,SV120: $i,SV20: $i] :
( ( ( ~ ( in_open @ SV20 @ SV120 @ SV132 ) )
= $true )
| ( ( less @ SV20 @ SV132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(637,plain,
! [SV102: $i,SV89: $i,SV39: $i,SV21: $i,SV141: $i] :
( ( ( ~ ( in_closed @ SV141 @ SV21 @ SV39 )
| ~ ( in_closed @ SV141 @ SV89 @ SV102 ) )
= $true )
| ( ( axis_conflict @ SV21 @ SV39 @ SV89 @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(638,plain,
! [SV21: $i,SV39: $i,SV90: $i,SV103: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV21 @ SV39 ) )
= $false )
| ( ( axis_conflict @ SV21 @ SV39 @ SV90 @ SV103 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(639,plain,
! [SV21: $i,SV39: $i,SV90: $i,SV103: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV90 @ SV103 ) )
= $false )
| ( ( axis_conflict @ SV21 @ SV39 @ SV90 @ SV103 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(640,plain,
! [SV142: $i,SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ! [SY455: $i] :
( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SV142 @ SY455 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV142 @ SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(641,plain,
! [SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ~ ( ! [SY412: $i,SY413: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY412 @ SY413 )
| ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 ) )
| ~ ! [SY414: $i,SY415: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY414 @ SY415 )
| ( axis_compatible @ SV49 @ SV60 @ SY414 @ SY415 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(642,plain,
! [SV92: $i,SV23: $i,SV77: $i] :
( ( ( less @ SV77 @ SV23 )
= $false )
| ( ( leq @ SV23 @ SV92 )
= $false )
| ( ( in_lopen @ SV23 @ SV77 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(643,plain,
! [SV133: $i,SV121: $i,SV23: $i] :
( ( ( ~ ( in_lopen @ SV23 @ SV121 @ SV133 ) )
= $true )
| ( ( leq @ SV23 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(644,plain,
! [SV143: $i,SV122: $i,SV23: $i] :
( ( ( ~ ( in_lopen @ SV23 @ SV122 @ SV143 ) )
= $true )
| ( ( less @ SV122 @ SV23 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(645,plain,
! [SV144: $i,SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ! [SY456: $i] :
( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV144 @ SY456 )
| ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ( axis_conflict @ SV50 @ SV61 @ SV144 @ SY456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(646,plain,
! [SV61: $i,SV50: $i,SV93: $i,SV78: $i,SV41: $i,SV24: $i] :
( ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) )
| ~ ! [SY420: $i,SY421: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY420 @ SY421 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY420 @ SY421 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(647,plain,
! [SV79: $i,SV94: $i,SV25: $i] :
( ( ( less @ SV25 @ SV94 )
= $false )
| ( ( leq @ SV79 @ SV25 )
= $false )
| ( ( in_ropen @ SV25 @ SV79 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(648,plain,
! [SV145: $i,SV123: $i,SV25: $i] :
( ( ( ~ ( in_ropen @ SV25 @ SV123 @ SV145 ) )
= $true )
| ( ( leq @ SV123 @ SV25 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(649,plain,
! [SV134: $i,SV124: $i,SV25: $i] :
( ( ( ~ ( in_ropen @ SV25 @ SV124 @ SV134 ) )
= $true )
| ( ( less @ SV25 @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(650,plain,
! [SV26: $i,SV42: $i,SV95: $i,SV104: $i] :
( ( ( ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV26 @ SV42 ) )
= $false )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SV104 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(651,plain,
! [SV26: $i,SV42: $i,SV95: $i,SV104: $i] :
( ( ( ~ ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV95 @ SV104 ) )
= $false )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SV104 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(652,plain,
! [SV105: $i,SV96: $i,SV42: $i,SV26: $i,SV146: $i] :
( ( ( ~ ( in_closed @ SV146 @ SV26 @ SV42 )
| ( in_closed @ SV146 @ SV96 @ SV105 ) )
= $true )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV96 @ SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(653,plain,
! [SV135: $i,SV106: $i,SV12: $i] :
( ( ( in_ropen @ SV12 @ SV106 @ SV135 )
= $false )
| ( ( leq @ SV106 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(654,plain,
! [SV125: $i,SV107: $i,SV12: $i] :
( ( ( in_ropen @ SV12 @ SV107 @ SV125 )
= $false )
| ( ( less @ SV12 @ SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(655,plain,
! [SV136: $i,SV108: $i,SV13: $i] :
( ( ( in_closed @ SV13 @ SV108 @ SV136 )
= $false )
| ( ( leq @ SV108 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(656,plain,
! [SV126: $i,SV109: $i,SV13: $i] :
( ( ( in_closed @ SV13 @ SV109 @ SV126 )
= $false )
| ( ( leq @ SV13 @ SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(657,plain,
! [SV147: $i,SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ! [SY457: $i] :
( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SV97 )
| ~ ( in_closed @ SV47 @ SV147 @ SY457 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV147 @ SY457 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(658,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ~ ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) )
| ~ ! [SY431: $i,SY432: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY431 @ SY432 )
| ( in_closed @ SV47 @ SY431 @ SY432 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(659,plain,
! [SV65: $i,SV52: $i] :
( ( ( is_verdict @ SV52 )
= $false )
| ( ( ~ ( is_verdict @ SV65 ) )
= $true )
| ( ( SV52 != unknown )
= $true )
| ( ( SV52 = conflict )
= $true )
| ( ( SV65 = conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV65 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(660,plain,
! [SV66: $i,SV53: $i] :
( ( ( is_verdict @ SV53 )
= $false )
| ( ( ~ ( is_verdict @ SV66 ) )
= $true )
| ( ( SV66 != unknown )
= $true )
| ( ( SV53 = conflict )
= $true )
| ( ( SV66 = conflict )
= $true )
| ( ( ( box_verdict @ SV53 @ SV66 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(661,plain,
! [SV137: $i,SV110: $i,SV15: $i] :
( ( ( in_open @ SV15 @ SV110 @ SV137 )
= $false )
| ( ( less @ SV110 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(662,plain,
! [SV127: $i,SV111: $i,SV15: $i] :
( ( ( in_open @ SV15 @ SV111 @ SV127 )
= $false )
| ( ( less @ SV15 @ SV127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(663,plain,
! [SV128: $i,SV112: $i,SV16: $i] :
( ( ( in_lopen @ SV16 @ SV112 @ SV128 )
= $false )
| ( ( leq @ SV16 @ SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(664,plain,
! [SV138: $i,SV113: $i,SV16: $i] :
( ( ( in_lopen @ SV16 @ SV113 @ SV138 )
= $false )
| ( ( less @ SV113 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(665,plain,
! [SV70: $i,SV55: $i] :
( ( ( SV55 = conflict )
= $false )
| ( ( is_verdict @ SV55 )
= $false )
| ( ( is_verdict @ SV70 )
= $false )
| ( ( ( box_verdict @ SV55 @ SV70 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(666,plain,
! [SV56: $i,SV71: $i] :
( ( ( SV71 = conflict )
= $false )
| ( ( is_verdict @ SV56 )
= $false )
| ( ( is_verdict @ SV71 )
= $false )
| ( ( ( box_verdict @ SV56 @ SV71 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(667,plain,
( ( ~ ( ( v0 != v800 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(668,plain,
( ( ~ ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(669,plain,
! [SV139: $i,SV116: $i,SV17: $i] :
( ( ( in_closed @ SV17 @ SV116 @ SV139 )
= $false )
| ( ( leq @ SV116 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(670,plain,
! [SV129: $i,SV117: $i,SV17: $i] :
( ( ( in_closed @ SV17 @ SV117 @ SV129 )
= $false )
| ( ( leq @ SV17 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(671,plain,
! [SV130: $i,SV118: $i,SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ( ~ ( in_closed @ SV18 @ SV48 @ SV57 ) )
= $true )
| ( ( ~ ( in_closed @ SV37 @ SV118 @ SV130 ) )
= $true )
| ( ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV118 @ SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(672,plain,
! [SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ( ! [SY341: $i,SY342: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SY341 @ SY342 ) )
= $true )
| ( ( in_closed @ SV18 @ SV48 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(673,plain,
! [SV148: $i,SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ! [SY458: $i] :
( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV148 @ SY458 )
| ( in_closed @ SV37 @ SV148 @ SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(674,plain,
! [SV100: $i,SV86: $i,SV38: $i,SV19: $i,SV131: $i] :
( ( ( in_closed @ SV131 @ SV19 @ SV38 )
= $false )
| ( ( ~ ( in_closed @ SV131 @ SV86 @ SV100 ) )
= $true )
| ( ( axis_compatible @ SV19 @ SV38 @ SV86 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(675,plain,
! [SV19: $i,SV38: $i,SV87: $i,SV101: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV19 @ SV38 ) )
= $false )
| ( ( axis_compatible @ SV19 @ SV38 @ SV87 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(676,plain,
! [SV19: $i,SV38: $i,SV87: $i,SV101: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV87 @ SV101 ) )
= $false )
| ( ( axis_compatible @ SV19 @ SV38 @ SV87 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(677,plain,
! [SV140: $i,SV119: $i,SV20: $i] :
( ( ( in_open @ SV20 @ SV119 @ SV140 )
= $false )
| ( ( less @ SV119 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(678,plain,
! [SV132: $i,SV120: $i,SV20: $i] :
( ( ( in_open @ SV20 @ SV120 @ SV132 )
= $false )
| ( ( less @ SV20 @ SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(679,plain,
! [SV102: $i,SV89: $i,SV39: $i,SV21: $i,SV141: $i] :
( ( ( ~ ( in_closed @ SV141 @ SV21 @ SV39 ) )
= $true )
| ( ( ~ ( in_closed @ SV141 @ SV89 @ SV102 ) )
= $true )
| ( ( axis_conflict @ SV21 @ SV39 @ SV89 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(680,plain,
! [SV21: $i,SV39: $i,SV90: $i,SV103: $i] :
( ( ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV21 @ SV39 )
= $true )
| ( ( axis_conflict @ SV21 @ SV39 @ SV90 @ SV103 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(681,plain,
! [SV21: $i,SV39: $i,SV90: $i,SV103: $i] :
( ( ( in_closed @ ( sK3_X @ SV103 @ SV90 @ SV39 @ SV21 ) @ SV90 @ SV103 )
= $true )
| ( ( axis_conflict @ SV21 @ SV39 @ SV90 @ SV103 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(682,plain,
! [SV149: $i,SV142: $i,SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SV142 @ SV149 )
| ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV142 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(683,plain,
! [SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ~ ( ! [SY412: $i,SY413: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY412 @ SY413 )
| ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(684,plain,
! [SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY414 @ SY415 )
| ( axis_compatible @ SV49 @ SV60 @ SY414 @ SY415 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(685,plain,
! [SV133: $i,SV121: $i,SV23: $i] :
( ( ( in_lopen @ SV23 @ SV121 @ SV133 )
= $false )
| ( ( leq @ SV23 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(686,plain,
! [SV143: $i,SV122: $i,SV23: $i] :
( ( ( in_lopen @ SV23 @ SV122 @ SV143 )
= $false )
| ( ( less @ SV122 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(687,plain,
! [SV150: $i,SV144: $i,SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV144 @ SV150 )
| ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ( axis_conflict @ SV50 @ SV61 @ SV144 @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(688,plain,
! [SV61: $i,SV50: $i,SV93: $i,SV78: $i,SV41: $i,SV24: $i] :
( ( ~ ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(689,plain,
! [SV93: $i,SV78: $i,SV41: $i,SV24: $i,SV61: $i,SV50: $i] :
( ( ~ ! [SY420: $i,SY421: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY420 @ SY421 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY420 @ SY421 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(690,plain,
! [SV145: $i,SV123: $i,SV25: $i] :
( ( ( in_ropen @ SV25 @ SV123 @ SV145 )
= $false )
| ( ( leq @ SV123 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(691,plain,
! [SV134: $i,SV124: $i,SV25: $i] :
( ( ( in_ropen @ SV25 @ SV124 @ SV134 )
= $false )
| ( ( less @ SV25 @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(692,plain,
! [SV26: $i,SV42: $i,SV95: $i,SV104: $i] :
( ( ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV26 @ SV42 )
= $true )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SV104 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(693,plain,
! [SV26: $i,SV42: $i,SV95: $i,SV104: $i] :
( ( ( ~ ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV95 @ SV104 ) )
= $true )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SV104 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(694,plain,
! [SV105: $i,SV96: $i,SV42: $i,SV26: $i,SV146: $i] :
( ( ( ~ ( in_closed @ SV146 @ SV26 @ SV42 ) )
= $true )
| ( ( in_closed @ SV146 @ SV96 @ SV105 )
= $true )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV96 @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(695,plain,
! [SV151: $i,SV147: $i,SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SV97 )
| ~ ( in_closed @ SV47 @ SV147 @ SV151 )
| ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV147 @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(696,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ~ ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(697,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY431 @ SY432 )
| ( in_closed @ SV47 @ SY431 @ SY432 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(698,plain,
! [SV52: $i,SV65: $i] :
( ( ( is_verdict @ SV65 )
= $false )
| ( ( is_verdict @ SV52 )
= $false )
| ( ( SV52 != unknown )
= $true )
| ( ( SV52 = conflict )
= $true )
| ( ( SV65 = conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV65 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(699,plain,
! [SV53: $i,SV66: $i] :
( ( ( is_verdict @ SV66 )
= $false )
| ( ( is_verdict @ SV53 )
= $false )
| ( ( SV66 != unknown )
= $true )
| ( ( SV53 = conflict )
= $true )
| ( ( SV66 = conflict )
= $true )
| ( ( ( box_verdict @ SV53 @ SV66 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(700,plain,
( ( v0 != v800 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(701,plain,
( ( ~ ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(702,plain,
! [SV130: $i,SV118: $i,SV37: $i,SV57: $i,SV48: $i,SV18: $i] :
( ( ( in_closed @ SV18 @ SV48 @ SV57 )
= $false )
| ( ( ~ ( in_closed @ SV37 @ SV118 @ SV130 ) )
= $true )
| ( ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV118 @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(703,plain,
! [SV152: $i,SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ( ! [SY459: $i] :
~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV152 @ SY459 ) )
= $true )
| ( ( in_closed @ SV18 @ SV48 @ SV57 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(704,plain,
! [SV153: $i,SV148: $i,SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV148 @ SV153 )
| ( in_closed @ SV37 @ SV148 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(705,plain,
! [SV38: $i,SV19: $i,SV100: $i,SV86: $i,SV131: $i] :
( ( ( in_closed @ SV131 @ SV86 @ SV100 )
= $false )
| ( ( in_closed @ SV131 @ SV19 @ SV38 )
= $false )
| ( ( axis_compatible @ SV19 @ SV38 @ SV86 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(706,plain,
! [SV19: $i,SV38: $i,SV87: $i,SV101: $i] :
( ( ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV19 @ SV38 )
= $true )
| ( ( axis_compatible @ SV19 @ SV38 @ SV87 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(707,plain,
! [SV19: $i,SV38: $i,SV87: $i,SV101: $i] :
( ( ( in_closed @ ( sK2_X @ SV101 @ SV87 @ SV38 @ SV19 ) @ SV87 @ SV101 )
= $true )
| ( ( axis_compatible @ SV19 @ SV38 @ SV87 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(708,plain,
! [SV102: $i,SV89: $i,SV39: $i,SV21: $i,SV141: $i] :
( ( ( in_closed @ SV141 @ SV21 @ SV39 )
= $false )
| ( ( ~ ( in_closed @ SV141 @ SV89 @ SV102 ) )
= $true )
| ( ( axis_conflict @ SV21 @ SV39 @ SV89 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(709,plain,
! [SV149: $i,SV142: $i,SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
| ~ ( axis_compatible @ SV49 @ SV60 @ SV142 @ SV149 ) )
= $true )
| ( ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV142 @ SV149 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(710,plain,
! [SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ! [SY412: $i,SY413: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY412 @ SY413 )
| ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(711,plain,
! [SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ! [SY414: $i,SY415: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY414 @ SY415 )
| ( axis_compatible @ SV49 @ SV60 @ SY414 @ SY415 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(712,plain,
! [SV150: $i,SV144: $i,SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ( ~ ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV144 @ SV150 ) )
= $true )
| ( ( ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ( axis_conflict @ SV50 @ SV61 @ SV144 @ SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(713,plain,
! [SV61: $i,SV50: $i,SV93: $i,SV78: $i,SV41: $i,SV24: $i] :
( ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(714,plain,
! [SV93: $i,SV78: $i,SV41: $i,SV24: $i,SV61: $i,SV50: $i] :
( ( ! [SY420: $i,SY421: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SY420 @ SY421 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY420 @ SY421 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(715,plain,
! [SV26: $i,SV42: $i,SV95: $i,SV104: $i] :
( ( ( in_closed @ ( sK1_X @ SV104 @ SV95 @ SV42 @ SV26 ) @ SV95 @ SV104 )
= $false )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV95 @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(716,plain,
! [SV105: $i,SV96: $i,SV42: $i,SV26: $i,SV146: $i] :
( ( ( in_closed @ SV146 @ SV26 @ SV42 )
= $false )
| ( ( in_closed @ SV146 @ SV96 @ SV105 )
= $true )
| ( ( axis_subsumes @ SV26 @ SV42 @ SV96 @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(717,plain,
! [SV151: $i,SV147: $i,SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SV97 )
| ~ ( in_closed @ SV47 @ SV147 @ SV151 ) )
= $true )
| ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV147 @ SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(718,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(719,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ! [SY431: $i,SY432: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY431 @ SY432 )
| ( in_closed @ SV47 @ SY431 @ SY432 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(720,plain,
! [SV65: $i,SV52: $i] :
( ( ( SV52 = unknown )
= $false )
| ( ( is_verdict @ SV52 )
= $false )
| ( ( is_verdict @ SV65 )
= $false )
| ( ( SV52 = conflict )
= $true )
| ( ( SV65 = conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV65 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(721,plain,
! [SV53: $i,SV66: $i] :
( ( ( SV66 = unknown )
= $false )
| ( ( is_verdict @ SV53 )
= $false )
| ( ( is_verdict @ SV66 )
= $false )
| ( ( SV53 = conflict )
= $true )
| ( ( SV66 = conflict )
= $true )
| ( ( ( box_verdict @ SV53 @ SV66 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(722,plain,
( ( v0 = v800 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(723,plain,
( ( ~ ( ( v0 != v400 ) )
| ~ ( ( v0 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(724,plain,
! [SV57: $i,SV48: $i,SV18: $i,SV130: $i,SV118: $i,SV37: $i] :
( ( ( in_closed @ SV37 @ SV118 @ SV130 )
= $false )
| ( ( in_closed @ SV18 @ SV48 @ SV57 )
= $false )
| ( ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV118 @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(725,plain,
! [SV154: $i,SV152: $i,SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV152 @ SV154 ) )
= $true )
| ( ( in_closed @ SV18 @ SV48 @ SV57 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(726,plain,
! [SV153: $i,SV148: $i,SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ( ~ ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV148 @ SV153 ) )
= $true )
| ( ( in_closed @ SV37 @ SV148 @ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(727,plain,
! [SV39: $i,SV21: $i,SV102: $i,SV89: $i,SV141: $i] :
( ( ( in_closed @ SV141 @ SV89 @ SV102 )
= $false )
| ( ( in_closed @ SV141 @ SV21 @ SV39 )
= $false )
| ( ( axis_conflict @ SV21 @ SV39 @ SV89 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(728,plain,
! [SV149: $i,SV142: $i,SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ( ~ ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 ) )
= $true )
| ( ( ~ ( axis_compatible @ SV49 @ SV60 @ SV142 @ SV149 ) )
= $true )
| ( ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV142 @ SV149 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(729,plain,
! [SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ( ! [SY412: $i,SY413: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SY412 @ SY413 ) )
= $true )
| ( ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(730,plain,
! [SV155: $i,SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ! [SY460: $i] :
( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV155 @ SY460 )
| ( axis_compatible @ SV49 @ SV60 @ SV155 @ SY460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(731,plain,
! [SV150: $i,SV144: $i,SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV144 @ SV150 )
= $false )
| ( ( ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
| ( axis_conflict @ SV50 @ SV61 @ SV144 @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(732,plain,
! [SV61: $i,SV50: $i,SV93: $i,SV78: $i,SV41: $i,SV24: $i] :
( ( ( ~ ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 ) )
= $true )
| ( ( ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(733,plain,
! [SV93: $i,SV78: $i,SV41: $i,SV24: $i,SV156: $i,SV61: $i,SV50: $i] :
( ( ! [SY461: $i] :
( ~ ( axis_conflict @ SV50 @ SV61 @ SV156 @ SY461 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV156 @ SY461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(734,plain,
! [SV151: $i,SV147: $i,SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ( ~ ( in_closed @ SV14 @ SV51 @ SV64 )
| ~ ( in_closed @ SV36 @ SV82 @ SV97 ) )
= $true )
| ( ( ~ ( in_closed @ SV47 @ SV147 @ SV151 ) )
= $true )
| ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV147 @ SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(735,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
| ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(736,plain,
! [SV157: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ! [SY462: $i] :
( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV157 @ SY462 )
| ( in_closed @ SV47 @ SV157 @ SY462 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(737,plain,
( ( ~ ( ( v0 != v400 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(738,plain,
( ( ~ ( ( v0 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(739,plain,
! [SV154: $i,SV152: $i,SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV152 @ SV154 )
= $false )
| ( ( in_closed @ SV18 @ SV48 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(740,plain,
! [SV153: $i,SV148: $i,SV57: $i,SV48: $i,SV37: $i,SV18: $i] :
( ( ( in_box2 @ SV18 @ SV37 @ SV48 @ SV57 @ SV148 @ SV153 )
= $false )
| ( ( in_closed @ SV37 @ SV148 @ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(741,plain,
! [SV149: $i,SV142: $i,SV60: $i,SV49: $i,SV91: $i,SV76: $i,SV40: $i,SV22: $i] :
( ( ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
= $false )
| ( ( ~ ( axis_compatible @ SV49 @ SV60 @ SV142 @ SV149 ) )
= $true )
| ( ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV142 @ SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(742,plain,
! [SV158: $i,SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ( ! [SY463: $i] :
~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV158 @ SY463 ) )
= $true )
| ( ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(743,plain,
! [SV159: $i,SV155: $i,SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV155 @ SV159 )
| ( axis_compatible @ SV49 @ SV60 @ SV155 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(744,plain,
! [SV150: $i,SV144: $i,SV61: $i,SV50: $i,SV93: $i,SV78: $i,SV41: $i,SV24: $i] :
( ( ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
= $true )
| ( ( axis_conflict @ SV50 @ SV61 @ SV144 @ SV150 )
= $true )
| ( ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV144 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(745,plain,
! [SV61: $i,SV50: $i,SV93: $i,SV78: $i,SV41: $i,SV24: $i] :
( ( ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
= $false )
| ( ( ! [SY418: $i,SY419: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SY418 @ SY419 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(746,plain,
! [SV93: $i,SV78: $i,SV41: $i,SV24: $i,SV160: $i,SV156: $i,SV61: $i,SV50: $i] :
( ( ~ ( axis_conflict @ SV50 @ SV61 @ SV156 @ SV160 )
| ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV156 @ SV160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(747,plain,
! [SV151: $i,SV147: $i,SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ( ~ ( in_closed @ SV14 @ SV51 @ SV64 ) )
= $true )
| ( ( ~ ( in_closed @ SV36 @ SV82 @ SV97 ) )
= $true )
| ( ( ~ ( in_closed @ SV47 @ SV147 @ SV151 ) )
= $true )
| ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV147 @ SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(748,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(749,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(750,plain,
! [SV161: $i,SV157: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV157 @ SV161 )
| ( in_closed @ SV47 @ SV157 @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(751,plain,
( ( v0 != v400 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(752,plain,
( ( v0 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(753,plain,
! [SV91: $i,SV76: $i,SV40: $i,SV22: $i,SV149: $i,SV142: $i,SV60: $i,SV49: $i] :
( ( ( axis_compatible @ SV49 @ SV60 @ SV142 @ SV149 )
= $false )
| ( ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
= $false )
| ( ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV142 @ SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(754,plain,
! [SV162: $i,SV158: $i,SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV158 @ SV162 ) )
= $true )
| ( ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(755,plain,
! [SV159: $i,SV155: $i,SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ( ~ ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV155 @ SV159 ) )
= $true )
| ( ( axis_compatible @ SV49 @ SV60 @ SV155 @ SV159 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(756,plain,
! [SV163: $i,SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ( ! [SY464: $i] : ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV163 @ SY464 ) )
= $true )
| ( ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(757,plain,
! [SV93: $i,SV78: $i,SV41: $i,SV24: $i,SV160: $i,SV156: $i,SV61: $i,SV50: $i] :
( ( ( ~ ( axis_conflict @ SV50 @ SV61 @ SV156 @ SV160 ) )
= $true )
| ( ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV156 @ SV160 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(758,plain,
! [SV151: $i,SV147: $i,SV47: $i,SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i] :
( ( ( in_closed @ SV14 @ SV51 @ SV64 )
= $false )
| ( ( ~ ( in_closed @ SV36 @ SV82 @ SV97 ) )
= $true )
| ( ( ~ ( in_closed @ SV47 @ SV147 @ SV151 ) )
= $true )
| ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV147 @ SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(759,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 )
| ( in_closed @ SV14 @ SV51 @ SV64 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(760,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 )
| ( in_closed @ SV36 @ SV82 @ SV97 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(761,plain,
! [SV161: $i,SV157: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV157 @ SV161 ) )
= $true )
| ( ( in_closed @ SV47 @ SV157 @ SV161 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(762,plain,
( ( v0 = v400 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(763,plain,
( ( v0 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(764,plain,
! [SV162: $i,SV158: $i,SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV158 @ SV162 )
= $false )
| ( ( axis_compatible @ SV22 @ SV40 @ SV76 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(765,plain,
! [SV159: $i,SV155: $i,SV91: $i,SV76: $i,SV60: $i,SV49: $i,SV40: $i,SV22: $i] :
( ( ( box2_compatible @ SV22 @ SV40 @ SV49 @ SV60 @ SV76 @ SV91 @ SV155 @ SV159 )
= $false )
| ( ( axis_compatible @ SV49 @ SV60 @ SV155 @ SV159 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(766,plain,
! [SV164: $i,SV163: $i,SV93: $i,SV78: $i,SV61: $i,SV50: $i,SV41: $i,SV24: $i] :
( ( ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV163 @ SV164 )
= $true )
| ( ( axis_conflict @ SV24 @ SV41 @ SV78 @ SV93 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(767,plain,
! [SV93: $i,SV78: $i,SV41: $i,SV24: $i,SV160: $i,SV156: $i,SV61: $i,SV50: $i] :
( ( ( axis_conflict @ SV50 @ SV61 @ SV156 @ SV160 )
= $false )
| ( ( box2_conflict @ SV24 @ SV41 @ SV50 @ SV61 @ SV78 @ SV93 @ SV156 @ SV160 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(768,plain,
! [SV151: $i,SV147: $i,SV47: $i,SV64: $i,SV51: $i,SV14: $i,SV97: $i,SV82: $i,SV36: $i] :
( ( ( in_closed @ SV36 @ SV82 @ SV97 )
= $false )
| ( ( in_closed @ SV14 @ SV51 @ SV64 )
= $false )
| ( ( ~ ( in_closed @ SV47 @ SV147 @ SV151 ) )
= $true )
| ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV147 @ SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(769,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( ! [SY427: $i,SY428: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY427 @ SY428 ) )
= $true )
| ( ( in_closed @ SV14 @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(770,plain,
! [SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( ! [SY429: $i,SY430: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SY429 @ SY430 ) )
= $true )
| ( ( in_closed @ SV36 @ SV82 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(771,plain,
! [SV161: $i,SV157: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV157 @ SV161 )
= $false )
| ( ( in_closed @ SV47 @ SV157 @ SV161 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(772,plain,
! [SV97: $i,SV82: $i,SV36: $i,SV64: $i,SV51: $i,SV14: $i,SV151: $i,SV147: $i,SV47: $i] :
( ( ( in_closed @ SV47 @ SV147 @ SV151 )
= $false )
| ( ( in_closed @ SV14 @ SV51 @ SV64 )
= $false )
| ( ( in_closed @ SV36 @ SV82 @ SV97 )
= $false )
| ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV147 @ SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(773,plain,
! [SV165: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( ! [SY465: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV165 @ SY465 ) )
= $true )
| ( ( in_closed @ SV14 @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(774,plain,
! [SV166: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( ! [SY466: $i] :
~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV166 @ SY466 ) )
= $true )
| ( ( in_closed @ SV36 @ SV82 @ SV97 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(775,plain,
! [SV167: $i,SV165: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV165 @ SV167 ) )
= $true )
| ( ( in_closed @ SV14 @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(776,plain,
! [SV168: $i,SV166: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( ~ ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV166 @ SV168 ) )
= $true )
| ( ( in_closed @ SV36 @ SV82 @ SV97 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(777,plain,
! [SV167: $i,SV165: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV165 @ SV167 )
= $false )
| ( ( in_closed @ SV14 @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(778,plain,
! [SV168: $i,SV166: $i,SV97: $i,SV82: $i,SV64: $i,SV51: $i,SV47: $i,SV36: $i,SV14: $i] :
( ( ( in_box3 @ SV14 @ SV36 @ SV47 @ SV51 @ SV64 @ SV82 @ SV97 @ SV166 @ SV168 )
= $false )
| ( ( in_closed @ SV36 @ SV82 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(779,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[146,778,777,772,771,767,766,765,764,763,762,753,744,740,739,727,724,722,721,720,716,715,707,706,705,692,691,690,686,685,681,680,678,677,670,669,666,665,664,663,662,661,656,655,654,653,647,642,634,626,624,621,620,617,614,607,604,603,524,508,494,493,481,458,457,456,455,403,362,336,314,312,232,211,207,206,205,174,173,172,171,170,169,168,167,166,148,147]) ).
thf(780,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[779]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Oct 6 12:44:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 197.41/33.63
% 197.41/33.63 No.of.Axioms: 46
% 197.41/33.63
% 197.41/33.63 Length.of.Defs: 0
% 197.41/33.63
% 197.41/33.63 Contains.Choice.Funs: false
% 197.41/33.63 ......................................
% 197.41/33.63
% 197.41/33.63 ********************************
% 197.41/33.63 * All subproblems solved! *
% 197.41/33.63 ********************************
% 197.41/33.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:46,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:779,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 197.41/33.63
% 197.41/33.63 %**** Beginning of derivation protocol ****
% 197.41/33.63 % SZS output start CNFRefutation
% See solution above
% 197.41/33.65
% 197.41/33.65 %**** End of derivation protocol ****
% 197.41/33.65 %**** no. of clauses in derivation: 780 ****
% 197.41/33.65 %**** clause counter: 779 ****
% 197.41/33.65
% 197.41/33.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:46,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:779,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------