%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT082+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 : n018.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 10:31:49 AM UTC 2026
% Result : Theorem 1.23s 0.45s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 46
% Syntax : Number of formulae : 543 ( 382 unt; 0 typ; 0 def)
% Number of atoms : 3340 (1512 equ; 0 cnn)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 8361 (3898 ~;1280 |; 118 &;3020 @)
% ( 24 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 15 con; 0-4 aty)
% Number of variables : 1031 ( 0 ^;1010 !; 21 ?;1031 :)
% 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_box_verdict,type,
box_verdict: $i > $i > $i ).
thf(tp_compatible,type,
compatible: $i ).
thf(tp_conflict,type,
conflict: $i ).
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_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY90,type,
sK2_SY90: $i ).
thf(tp_sK3_SY123,type,
sK3_SY123: $i ).
thf(tp_sK4_SY122,type,
sK4_SY122: $i > $i > $i > $i > $i ).
thf(tp_sK5_SY119,type,
sK5_SY119: $i > $i > $i > $i > $i ).
thf(tp_sK6_SY118,type,
sK6_SY118: $i > $i > $i > $i > $i ).
thf(tp_unknown,type,
unknown: $i ).
thf(tp_v0,type,
v0: $i ).
thf(tp_v16,type,
v16: $i ).
thf(tp_v300,type,
v300: $i ).
thf(tp_v32,type,
v32: $i ).
thf(tp_v500,type,
v500: $i ).
thf(tp_v600,type,
v600: $i ).
thf(tp_v601,type,
v601: $i ).
thf(tp_val,type,
val: $i > $o ).
thf(1,axiom,
( ( v0 != v16 )
& ( v0 != v32 )
& ( v0 != v300 )
& ( v0 != v500 )
& ( v0 != v600 )
& ( v0 != v601 )
& ( v16 != v32 )
& ( v16 != v300 )
& ( v16 != v500 )
& ( v16 != v600 )
& ( v16 != v601 )
& ( v32 != v300 )
& ( v32 != v500 )
& ( v32 != v600 )
& ( v32 != v601 )
& ( v300 != v500 )
& ( v300 != v600 )
& ( v300 != v601 )
& ( v500 != v600 )
& ( v500 != v601 )
& ( v600 != v601 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
thf(2,axiom,
less @ v600 @ v601,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v601) ).
thf(3,axiom,
less @ v500 @ v601,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v500_v601) ).
thf(4,axiom,
less @ v500 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v500_v600) ).
thf(5,axiom,
less @ v300 @ v601,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v601) ).
thf(6,axiom,
less @ v300 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v600) ).
thf(7,axiom,
less @ v300 @ v500,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v500) ).
thf(8,axiom,
less @ v32 @ v601,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v601) ).
thf(9,axiom,
less @ v32 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v600) ).
thf(10,axiom,
less @ v32 @ v500,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v500) ).
thf(11,axiom,
less @ v32 @ v300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v300) ).
thf(12,axiom,
less @ v16 @ v601,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v601) ).
thf(13,axiom,
less @ v16 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v600) ).
thf(14,axiom,
less @ v16 @ v500,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v500) ).
thf(15,axiom,
less @ v16 @ v300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v300) ).
thf(16,axiom,
less @ v16 @ v32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v32) ).
thf(17,axiom,
less @ v0 @ v601,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v601) ).
thf(18,axiom,
less @ v0 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
thf(19,axiom,
less @ v0 @ v500,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v500) ).
thf(20,axiom,
less @ v0 @ v300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v300) ).
thf(21,axiom,
less @ v0 @ v32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v32) ).
thf(22,axiom,
less @ v0 @ v16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v16) ).
thf(23,axiom,
val @ v601,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v601) ).
thf(24,axiom,
val @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v600) ).
thf(25,axiom,
val @ v500,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v500) ).
thf(26,axiom,
val @ v300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v300) ).
thf(27,axiom,
val @ v32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v32) ).
thf(28,axiom,
val @ v16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v16) ).
thf(29,axiom,
val @ v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v0) ).
thf(41,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(42,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(43,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(44,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(45,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(46,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(47,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(48,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(49,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(50,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(51,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
thf(52,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).
thf(53,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
thf(54,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).
thf(55,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(56,axiom,
! [X: $i] :
~ ( less @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
thf(57,conjecture,
~ ? [X: $i,Y: $i,Z: $i] :
( ( in_closed @ X @ v600 @ v600 )
& ( in_closed @ X @ v601 @ v601 )
& ( less @ v300 @ Y )
& ( in_open @ Y @ v0 @ v500 )
& ( leq @ v16 @ Z )
& ( in_lopen @ Z @ v0 @ v32 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl411) ).
thf(58,negated_conjecture,
( ( ~ ? [X: $i,Y: $i,Z: $i] :
( ( in_closed @ X @ v600 @ v600 )
& ( in_closed @ X @ v601 @ v601 )
& ( less @ v300 @ Y )
& ( in_open @ Y @ v0 @ v500 )
& ( leq @ v16 @ Z )
& ( in_lopen @ Z @ v0 @ v32 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[57]) ).
thf(59,plain,
( ( ~ ? [X: $i,Y: $i,Z: $i] :
( ( in_closed @ X @ v600 @ v600 )
& ( in_closed @ X @ v601 @ v601 )
& ( less @ v300 @ Y )
& ( in_open @ Y @ v0 @ v500 )
& ( leq @ v16 @ Z )
& ( in_lopen @ Z @ v0 @ v32 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[58]) ).
thf(60,plain,
( ( ( v0 != v16 )
& ( v0 != v32 )
& ( v0 != v300 )
& ( v0 != v500 )
& ( v0 != v600 )
& ( v0 != v601 )
& ( v16 != v32 )
& ( v16 != v300 )
& ( v16 != v500 )
& ( v16 != v600 )
& ( v16 != v601 )
& ( v32 != v300 )
& ( v32 != v500 )
& ( v32 != v600 )
& ( v32 != v601 )
& ( v300 != v500 )
& ( v300 != v600 )
& ( v300 != v601 )
& ( v500 != v600 )
& ( v500 != v601 )
& ( v600 != v601 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(61,plain,
( ( less @ v600 @ v601 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(62,plain,
( ( less @ v500 @ v601 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(63,plain,
( ( less @ v500 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(64,plain,
( ( less @ v300 @ v601 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(65,plain,
( ( less @ v300 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(66,plain,
( ( less @ v300 @ v500 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(67,plain,
( ( less @ v32 @ v601 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(68,plain,
( ( less @ v32 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(69,plain,
( ( less @ v32 @ v500 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(70,plain,
( ( less @ v32 @ v300 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(71,plain,
( ( less @ v16 @ v601 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(72,plain,
( ( less @ v16 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(73,plain,
( ( less @ v16 @ v500 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(74,plain,
( ( less @ v16 @ v300 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(75,plain,
( ( less @ v16 @ v32 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(76,plain,
( ( less @ v0 @ v601 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(77,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(78,plain,
( ( less @ v0 @ v500 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(79,plain,
( ( less @ v0 @ v300 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(80,plain,
( ( less @ v0 @ v32 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(81,plain,
( ( less @ v0 @ v16 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(82,plain,
( ( val @ v601 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(83,plain,
( ( val @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(84,plain,
( ( val @ v500 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(85,plain,
( ( val @ v300 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(86,plain,
( ( val @ v32 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(87,plain,
( ( val @ v16 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(88,plain,
( ( val @ v0 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(89,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)],[41]) ).
thf(90,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)],[42]) ).
thf(91,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)],[43]) ).
thf(92,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(93,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(94,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(95,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(96,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(97,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(98,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(99,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(100,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(101,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(102,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(103,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(104,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(105,plain,
( ( ? [X: $i,Y: $i,Z: $i] :
( ( in_closed @ X @ v600 @ v600 )
& ( in_closed @ X @ v601 @ v601 )
& ( less @ v300 @ Y )
& ( in_open @ Y @ v0 @ v500 )
& ( leq @ v16 @ Z )
& ( in_lopen @ Z @ v0 @ v32 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[59]) ).
thf(106,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(107,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(108,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(109,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(110,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(111,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(112,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(113,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(114,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(115,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(116,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(117,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(118,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(119,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(copy,[status(thm)],[91]) ).
thf(120,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(copy,[status(thm)],[90]) ).
thf(121,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(copy,[status(thm)],[89]) ).
thf(122,plain,
( ( val @ v0 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(123,plain,
( ( val @ v16 )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(124,plain,
( ( val @ v32 )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(125,plain,
( ( val @ v300 )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(126,plain,
( ( val @ v500 )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(127,plain,
( ( val @ v600 )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(128,plain,
( ( val @ v601 )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(129,plain,
( ( less @ v0 @ v16 )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(130,plain,
( ( less @ v0 @ v32 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(131,plain,
( ( less @ v0 @ v300 )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(132,plain,
( ( less @ v0 @ v500 )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(133,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(134,plain,
( ( less @ v0 @ v601 )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(135,plain,
( ( less @ v16 @ v32 )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(136,plain,
( ( less @ v16 @ v300 )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(137,plain,
( ( less @ v16 @ v500 )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(138,plain,
( ( less @ v16 @ v600 )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(139,plain,
( ( less @ v16 @ v601 )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(140,plain,
( ( less @ v32 @ v300 )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(141,plain,
( ( less @ v32 @ v500 )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(142,plain,
( ( less @ v32 @ v600 )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(143,plain,
( ( less @ v32 @ v601 )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(144,plain,
( ( less @ v300 @ v500 )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(145,plain,
( ( less @ v300 @ v600 )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(146,plain,
( ( less @ v300 @ v601 )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(147,plain,
( ( less @ v500 @ v600 )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(148,plain,
( ( less @ v500 @ v601 )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(149,plain,
( ( less @ v600 @ v601 )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(150,plain,
( ( ( v0 != v16 )
& ( v0 != v32 )
& ( v0 != v300 )
& ( v0 != v500 )
& ( v0 != v600 )
& ( v0 != v601 )
& ( v16 != v32 )
& ( v16 != v300 )
& ( v16 != v500 )
& ( v16 != v600 )
& ( v16 != v601 )
& ( v32 != v300 )
& ( v32 != v500 )
& ( v32 != v600 )
& ( v32 != v601 )
& ( v300 != v500 )
& ( v300 != v600 )
& ( v300 != v601 )
& ( v500 != v600 )
& ( v500 != v601 )
& ( v600 != v601 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(151,plain,
( ( ? [X: $i,Y: $i,Z: $i] :
( ( in_closed @ X @ v600 @ v600 )
& ( in_closed @ X @ v601 @ v601 )
& ( less @ v300 @ Y )
& ( in_open @ Y @ v0 @ v500 )
& ( leq @ v16 @ Z )
& ( in_lopen @ Z @ v0 @ v32 ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(152,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( in_closed @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( leq @ SX1 @ SX0 )
| ~ ( leq @ SX0 @ SX2 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SX1 @ SX0 )
| ~ ( leq @ SX0 @ SX2 ) )
| ( in_closed @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(153,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( leq @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(154,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(155,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(156,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SX0 @ v600 @ v600 )
| ~ ( in_closed @ SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ SX1 ) )
| ~ ( in_open @ SX1 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ SX2 ) )
| ~ ( in_lopen @ SX2 @ v0 @ v32 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(157,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( in_lopen @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( less @ SX1 @ SX0 )
| ~ ( leq @ SX0 @ SX2 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SX1 @ SX0 )
| ~ ( leq @ SX0 @ SX2 ) )
| ( in_lopen @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(158,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(159,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(160,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( leq @ SX0 @ SX1 )
| ( less @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( ~ ( ( less @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ( leq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(161,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( in_open @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( less @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 ) )
| ( in_open @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(162,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(163,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 ) ) )
| ~ ( ~ ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ~ ( in_closed @ SX4 @ SX2 @ SX3 ) )
| ( axis_conflict @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(164,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( axis_compatible @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ~ ( in_closed @ SX4 @ SX2 @ SX3 ) ) )
| ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ~ ( in_closed @ SX4 @ SX2 @ SX3 ) )
| ( axis_compatible @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(165,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
| ~ ( ( v500 != v600 ) ) )
| ~ ( ( v500 != v601 ) ) )
| ~ ( ( v600 != v601 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(166,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( in_ropen @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( leq @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 ) )
| ( in_ropen @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(167,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ( in_closed @ SX4 @ SX2 @ SX3 ) ) )
| ~ ( ~ ! [SX4: $i] :
( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ( in_closed @ SX4 @ SX2 @ SX3 ) )
| ( axis_subsumes @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(168,plain,
! [SV1: $i] :
( ( ~ ( less @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(169,plain,
! [SV2: $i] :
( ( ! [SY51: $i] :
( ( less @ SV2 @ SY51 )
| ( SV2 = SY51 )
| ( less @ SY51 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(170,plain,
! [SV3: $i] :
( ( ! [SY52: $i,SY53: $i] :
~ ( ~ ( ~ ( in_closed @ SV3 @ SY52 @ SY53 )
| ~ ( ~ ( leq @ SY52 @ SV3 )
| ~ ( leq @ SV3 @ SY53 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SY52 @ SV3 )
| ~ ( leq @ SV3 @ SY53 ) )
| ( in_closed @ SV3 @ SY52 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(171,plain,
! [SV4: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ~ ~ ( ~ ( leq @ SV4 @ SY54 )
| ~ ( leq @ SY54 @ SY55 ) )
| ( leq @ SV4 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(172,plain,
! [SV5: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ~ ( ~ ( leq @ SV5 @ SY56 )
| ~ ( less @ SY56 @ SY57 ) )
| ( less @ SV5 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(173,plain,
! [SV6: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ~ ( ~ ( less @ SV6 @ SY58 )
| ~ ( leq @ SY58 @ SY59 ) )
| ( less @ SV6 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(174,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SX0 @ v600 @ v600 )
| ~ ( in_closed @ SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ SX1 ) )
| ~ ( in_open @ SX1 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ SX2 ) )
| ~ ( in_lopen @ SX2 @ v0 @ v32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(175,plain,
! [SV7: $i] :
( ( ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( in_lopen @ SV7 @ SY60 @ SY61 )
| ~ ( ~ ( less @ SY60 @ SV7 )
| ~ ( leq @ SV7 @ SY61 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SY60 @ SV7 )
| ~ ( leq @ SV7 @ SY61 ) )
| ( in_lopen @ SV7 @ SY60 @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(176,plain,
! [SV8: $i] :
( ( ! [SY62: $i] :
( ~ ~ ( ~ ( leq @ SV8 @ SY62 )
| ~ ( leq @ SY62 @ SV8 ) )
| ( SV8 = SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(177,plain,
! [SV9: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( less @ SV9 @ SY63 )
| ~ ( less @ SY63 @ SY64 ) )
| ( less @ SV9 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(178,plain,
! [SV10: $i] :
( ( ! [SY65: $i] :
~ ( ~ ( ~ ( leq @ SV10 @ SY65 )
| ( less @ SV10 @ SY65 )
| ( SV10 = SY65 ) )
| ~ ( ~ ( ( less @ SV10 @ SY65 )
| ( SV10 = SY65 ) )
| ( leq @ SV10 @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(179,plain,
! [SV11: $i] :
( ( ! [SY66: $i,SY67: $i] :
~ ( ~ ( ~ ( in_open @ SV11 @ SY66 @ SY67 )
| ~ ( ~ ( less @ SY66 @ SV11 )
| ~ ( less @ SV11 @ SY67 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SY66 @ SV11 )
| ~ ( less @ SV11 @ SY67 ) )
| ( in_open @ SV11 @ SY66 @ SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(180,plain,
! [SV12: $i] :
( ( ! [SY68: $i] :
( ~ ( less @ SV12 @ SY68 )
| ( leq @ SV12 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(181,plain,
! [SV13: $i] :
( ( ! [SY69: $i,SY70: $i,SY71: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV13 @ SY69 @ SY70 @ SY71 )
| ~ ~ ! [SY72: $i] :
~ ~ ( ~ ( in_closed @ SY72 @ SV13 @ SY69 )
| ~ ( in_closed @ SY72 @ SY70 @ SY71 ) ) )
| ~ ( ~ ~ ~ ! [SY73: $i] :
~ ~ ( ~ ( in_closed @ SY73 @ SV13 @ SY69 )
| ~ ( in_closed @ SY73 @ SY70 @ SY71 ) )
| ( axis_conflict @ SV13 @ SY69 @ SY70 @ SY71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(182,plain,
! [SV14: $i] :
( ( ! [SY74: $i,SY75: $i,SY76: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV14 @ SY74 @ SY75 @ SY76 )
| ~ ! [SY77: $i] :
~ ~ ( ~ ( in_closed @ SY77 @ SV14 @ SY74 )
| ~ ( in_closed @ SY77 @ SY75 @ SY76 ) ) )
| ~ ( ~ ~ ! [SY78: $i] :
~ ~ ( ~ ( in_closed @ SY78 @ SV14 @ SY74 )
| ~ ( in_closed @ SY78 @ SY75 @ SY76 ) )
| ( axis_compatible @ SV14 @ SY74 @ SY75 @ SY76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(183,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
| ~ ( ( v500 != v600 ) ) )
| ~ ( ( v500 != v601 ) ) )
| ~ ( ( v600 != v601 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(184,plain,
! [SV15: $i] :
( ( ! [SY79: $i,SY80: $i] :
~ ( ~ ( ~ ( in_ropen @ SV15 @ SY79 @ SY80 )
| ~ ( ~ ( leq @ SY79 @ SV15 )
| ~ ( less @ SV15 @ SY80 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SY79 @ SV15 )
| ~ ( less @ SV15 @ SY80 ) )
| ( in_ropen @ SV15 @ SY79 @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(185,plain,
! [SV16: $i] :
( ( ! [SY81: $i,SY82: $i,SY83: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV16 @ SY81 @ SY82 @ SY83 )
| ! [SY84: $i] :
( ~ ( in_closed @ SY84 @ SV16 @ SY81 )
| ( in_closed @ SY84 @ SY82 @ SY83 ) ) )
| ~ ( ~ ! [SY85: $i] :
( ~ ( in_closed @ SY85 @ SV16 @ SY81 )
| ( in_closed @ SY85 @ SY82 @ SY83 ) )
| ( axis_subsumes @ SV16 @ SY81 @ SY82 @ SY83 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(186,plain,
! [SV1: $i] :
( ( less @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(187,plain,
! [SV17: $i,SV2: $i] :
( ( ( less @ SV2 @ SV17 )
| ( SV2 = SV17 )
| ( less @ SV17 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(188,plain,
! [SV18: $i,SV3: $i] :
( ( ! [SY86: $i] :
~ ( ~ ( ~ ( in_closed @ SV3 @ SV18 @ SY86 )
| ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SY86 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SY86 ) )
| ( in_closed @ SV3 @ SV18 @ SY86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(189,plain,
! [SV19: $i,SV4: $i] :
( ( ! [SY87: $i] :
( ~ ~ ( ~ ( leq @ SV4 @ SV19 )
| ~ ( leq @ SV19 @ SY87 ) )
| ( leq @ SV4 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(190,plain,
! [SV20: $i,SV5: $i] :
( ( ! [SY88: $i] :
( ~ ~ ( ~ ( leq @ SV5 @ SV20 )
| ~ ( less @ SV20 @ SY88 ) )
| ( less @ SV5 @ SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(191,plain,
! [SV21: $i,SV6: $i] :
( ( ! [SY89: $i] :
( ~ ~ ( ~ ( less @ SV6 @ SV21 )
| ~ ( leq @ SV21 @ SY89 ) )
| ( less @ SV6 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(192,plain,
( ( ~ ~ ! [SY90: $i] :
~ ~ ! [SY91: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ SY90 ) )
| ~ ( in_open @ SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ SY91 ) )
| ~ ( in_lopen @ SY91 @ v0 @ v32 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[174]) ).
thf(193,plain,
! [SV22: $i,SV7: $i] :
( ( ! [SY92: $i] :
~ ( ~ ( ~ ( in_lopen @ SV7 @ SV22 @ SY92 )
| ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SY92 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SY92 ) )
| ( in_lopen @ SV7 @ SV22 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(194,plain,
! [SV23: $i,SV8: $i] :
( ( ~ ~ ( ~ ( leq @ SV8 @ SV23 )
| ~ ( leq @ SV23 @ SV8 ) )
| ( SV8 = SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(195,plain,
! [SV24: $i,SV9: $i] :
( ( ! [SY93: $i] :
( ~ ~ ( ~ ( less @ SV9 @ SV24 )
| ~ ( less @ SV24 @ SY93 ) )
| ( less @ SV9 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(196,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( leq @ SV10 @ SV25 )
| ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
| ~ ( ~ ( ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
| ( leq @ SV10 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(197,plain,
! [SV26: $i,SV11: $i] :
( ( ! [SY94: $i] :
~ ( ~ ( ~ ( in_open @ SV11 @ SV26 @ SY94 )
| ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SY94 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SY94 ) )
| ( in_open @ SV11 @ SV26 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(198,plain,
! [SV27: $i,SV12: $i] :
( ( ~ ( less @ SV12 @ SV27 )
| ( leq @ SV12 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV28: $i,SV13: $i] :
( ( ! [SY95: $i,SY96: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV13 @ SV28 @ SY95 @ SY96 )
| ~ ~ ! [SY97: $i] :
~ ~ ( ~ ( in_closed @ SY97 @ SV13 @ SV28 )
| ~ ( in_closed @ SY97 @ SY95 @ SY96 ) ) )
| ~ ( ~ ~ ~ ! [SY98: $i] :
~ ~ ( ~ ( in_closed @ SY98 @ SV13 @ SV28 )
| ~ ( in_closed @ SY98 @ SY95 @ SY96 ) )
| ( axis_conflict @ SV13 @ SV28 @ SY95 @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(200,plain,
! [SV29: $i,SV14: $i] :
( ( ! [SY99: $i,SY100: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV14 @ SV29 @ SY99 @ SY100 )
| ~ ! [SY101: $i] :
~ ~ ( ~ ( in_closed @ SY101 @ SV14 @ SV29 )
| ~ ( in_closed @ SY101 @ SY99 @ SY100 ) ) )
| ~ ( ~ ~ ! [SY102: $i] :
~ ~ ( ~ ( in_closed @ SY102 @ SV14 @ SV29 )
| ~ ( in_closed @ SY102 @ SY99 @ SY100 ) )
| ( axis_compatible @ SV14 @ SV29 @ SY99 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(201,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
| ~ ( ( v500 != v600 ) ) )
| ~ ( ( v500 != v601 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(202,plain,
( ( ~ ( ( v600 != v601 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(203,plain,
! [SV30: $i,SV15: $i] :
( ( ! [SY103: $i] :
~ ( ~ ( ~ ( in_ropen @ SV15 @ SV30 @ SY103 )
| ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SY103 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SY103 ) )
| ( in_ropen @ SV15 @ SV30 @ SY103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(204,plain,
! [SV31: $i,SV16: $i] :
( ( ! [SY104: $i,SY105: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV16 @ SV31 @ SY104 @ SY105 )
| ! [SY106: $i] :
( ~ ( in_closed @ SY106 @ SV16 @ SV31 )
| ( in_closed @ SY106 @ SY104 @ SY105 ) ) )
| ~ ( ~ ! [SY107: $i] :
( ~ ( in_closed @ SY107 @ SV16 @ SV31 )
| ( in_closed @ SY107 @ SY104 @ SY105 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SY104 @ SY105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(205,plain,
! [SV17: $i,SV2: $i] :
( ( ( ( less @ SV2 @ SV17 )
| ( SV2 = SV17 ) )
= $true )
| ( ( less @ SV17 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(206,plain,
! [SV32: $i,SV18: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( in_closed @ SV3 @ SV18 @ SV32 )
| ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) )
| ( in_closed @ SV3 @ SV18 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(207,plain,
! [SV33: $i,SV19: $i,SV4: $i] :
( ( ~ ~ ( ~ ( leq @ SV4 @ SV19 )
| ~ ( leq @ SV19 @ SV33 ) )
| ( leq @ SV4 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(208,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ~ ~ ( ~ ( leq @ SV5 @ SV20 )
| ~ ( less @ SV20 @ SV34 ) )
| ( less @ SV5 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(209,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ~ ~ ( ~ ( less @ SV6 @ SV21 )
| ~ ( leq @ SV21 @ SV35 ) )
| ( less @ SV6 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(210,plain,
( ( ~ ! [SY90: $i] :
~ ~ ! [SY91: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ SY90 ) )
| ~ ( in_open @ SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ SY91 ) )
| ~ ( in_lopen @ SY91 @ v0 @ v32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(211,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ~ ( ~ ( ~ ( in_lopen @ SV7 @ SV22 @ SV36 )
| ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) )
| ( in_lopen @ SV7 @ SV22 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(212,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV8 @ SV23 )
| ~ ( leq @ SV23 @ SV8 ) ) )
= $true )
| ( ( SV8 = SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(213,plain,
! [SV37: $i,SV24: $i,SV9: $i] :
( ( ~ ~ ( ~ ( less @ SV9 @ SV24 )
| ~ ( less @ SV24 @ SV37 ) )
| ( less @ SV9 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( ~ ( leq @ SV10 @ SV25 )
| ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
| ~ ( ~ ( ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
| ( leq @ SV10 @ SV25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV38: $i,SV26: $i,SV11: $i] :
( ( ~ ( ~ ( ~ ( in_open @ SV11 @ SV26 @ SV38 )
| ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) )
| ( in_open @ SV11 @ SV26 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(216,plain,
! [SV27: $i,SV12: $i] :
( ( ( ~ ( less @ SV12 @ SV27 ) )
= $true )
| ( ( leq @ SV12 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(217,plain,
! [SV39: $i,SV28: $i,SV13: $i] :
( ( ! [SY108: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV13 @ SV28 @ SV39 @ SY108 )
| ~ ~ ! [SY109: $i] :
~ ~ ( ~ ( in_closed @ SY109 @ SV13 @ SV28 )
| ~ ( in_closed @ SY109 @ SV39 @ SY108 ) ) )
| ~ ( ~ ~ ~ ! [SY110: $i] :
~ ~ ( ~ ( in_closed @ SY110 @ SV13 @ SV28 )
| ~ ( in_closed @ SY110 @ SV39 @ SY108 ) )
| ( axis_conflict @ SV13 @ SV28 @ SV39 @ SY108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(218,plain,
! [SV40: $i,SV29: $i,SV14: $i] :
( ( ! [SY111: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV14 @ SV29 @ SV40 @ SY111 )
| ~ ! [SY112: $i] :
~ ~ ( ~ ( in_closed @ SY112 @ SV14 @ SV29 )
| ~ ( in_closed @ SY112 @ SV40 @ SY111 ) ) )
| ~ ( ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( in_closed @ SY113 @ SV14 @ SV29 )
| ~ ( in_closed @ SY113 @ SV40 @ SY111 ) )
| ( axis_compatible @ SV14 @ SV29 @ SV40 @ SY111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(219,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
| ~ ( ( v500 != v600 ) ) )
| ~ ( ( v500 != v601 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(220,plain,
( ( v600 != v601 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(221,plain,
! [SV41: $i,SV30: $i,SV15: $i] :
( ( ~ ( ~ ( ~ ( in_ropen @ SV15 @ SV30 @ SV41 )
| ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) )
| ( in_ropen @ SV15 @ SV30 @ SV41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(222,plain,
! [SV42: $i,SV31: $i,SV16: $i] :
( ( ! [SY114: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SY114 )
| ! [SY115: $i] :
( ~ ( in_closed @ SY115 @ SV16 @ SV31 )
| ( in_closed @ SY115 @ SV42 @ SY114 ) ) )
| ~ ( ~ ! [SY116: $i] :
( ~ ( in_closed @ SY116 @ SV16 @ SV31 )
| ( in_closed @ SY116 @ SV42 @ SY114 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(223,plain,
! [SV17: $i,SV2: $i] :
( ( ( less @ SV2 @ SV17 )
= $true )
| ( ( SV2 = SV17 )
= $true )
| ( ( less @ SV17 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(224,plain,
! [SV32: $i,SV18: $i,SV3: $i] :
( ( ~ ( ~ ( in_closed @ SV3 @ SV18 @ SV32 )
| ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) )
| ( in_closed @ SV3 @ SV18 @ SV32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(225,plain,
! [SV33: $i,SV19: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV4 @ SV19 )
| ~ ( leq @ SV19 @ SV33 ) ) )
= $true )
| ( ( leq @ SV4 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(226,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV5 @ SV20 )
| ~ ( less @ SV20 @ SV34 ) ) )
= $true )
| ( ( less @ SV5 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(227,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( less @ SV6 @ SV21 )
| ~ ( leq @ SV21 @ SV35 ) ) )
= $true )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(228,plain,
( ( ! [SY90: $i] :
~ ~ ! [SY91: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ SY90 ) )
| ~ ( in_open @ SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ SY91 ) )
| ~ ( in_lopen @ SY91 @ v0 @ v32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(229,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ~ ( ~ ( in_lopen @ SV7 @ SV22 @ SV36 )
| ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) )
| ( in_lopen @ SV7 @ SV22 @ SV36 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(230,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( ~ ( leq @ SV8 @ SV23 )
| ~ ( leq @ SV23 @ SV8 ) ) )
= $false )
| ( ( SV8 = SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(231,plain,
! [SV37: $i,SV24: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( less @ SV9 @ SV24 )
| ~ ( less @ SV24 @ SV37 ) ) )
= $true )
| ( ( less @ SV9 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(232,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( ~ ( leq @ SV10 @ SV25 )
| ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(233,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( ~ ( ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
| ( leq @ SV10 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(234,plain,
! [SV38: $i,SV26: $i,SV11: $i] :
( ( ~ ( ~ ( in_open @ SV11 @ SV26 @ SV38 )
| ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) )
| ( in_open @ SV11 @ SV26 @ SV38 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(235,plain,
! [SV27: $i,SV12: $i] :
( ( ( less @ SV12 @ SV27 )
= $false )
| ( ( leq @ SV12 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(236,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ~ ( ~ ( ~ ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
| ~ ~ ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV13 @ SV28 )
| ~ ( in_closed @ SY117 @ SV39 @ SV43 ) ) )
| ~ ( ~ ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV13 @ SV28 )
| ~ ( in_closed @ SY118 @ SV39 @ SV43 ) )
| ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(237,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ~ ( ~ ( ~ ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
| ~ ! [SY119: $i] :
~ ~ ( ~ ( in_closed @ SY119 @ SV14 @ SV29 )
| ~ ( in_closed @ SY119 @ SV40 @ SV44 ) ) )
| ~ ( ~ ~ ! [SY120: $i] :
~ ~ ( ~ ( in_closed @ SY120 @ SV14 @ SV29 )
| ~ ( in_closed @ SY120 @ SV40 @ SV44 ) )
| ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(238,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
| ~ ( ( v500 != v600 ) ) )
| ~ ( ( v500 != v601 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(239,plain,
( ( v600 = v601 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(240,plain,
! [SV41: $i,SV30: $i,SV15: $i] :
( ( ~ ( ~ ( in_ropen @ SV15 @ SV30 @ SV41 )
| ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) )
| ( in_ropen @ SV15 @ SV30 @ SV41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(241,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ~ ( ~ ( ~ ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
| ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV16 @ SV31 )
| ( in_closed @ SY121 @ SV42 @ SV45 ) ) )
| ~ ( ~ ! [SY122: $i] :
( ~ ( in_closed @ SY122 @ SV16 @ SV31 )
| ( in_closed @ SY122 @ SV42 @ SV45 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(242,plain,
! [SV32: $i,SV18: $i,SV3: $i] :
( ( ~ ( ~ ( in_closed @ SV3 @ SV18 @ SV32 )
| ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(243,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) )
| ( in_closed @ SV3 @ SV18 @ SV32 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(244,plain,
! [SV33: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( ~ ( leq @ SV4 @ SV19 )
| ~ ( leq @ SV19 @ SV33 ) ) )
= $false )
| ( ( leq @ SV4 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(245,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ( ~ ( ~ ( leq @ SV5 @ SV20 )
| ~ ( less @ SV20 @ SV34 ) ) )
= $false )
| ( ( less @ SV5 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(246,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( ~ ( less @ SV6 @ SV21 )
| ~ ( leq @ SV21 @ SV35 ) ) )
= $false )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(247,plain,
( ( ~ ~ ! [SY123: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ SY123 ) )
| ~ ( in_lopen @ SY123 @ v0 @ v32 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[228]) ).
thf(248,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ~ ( ~ ( in_lopen @ SV7 @ SV22 @ SV36 )
| ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(249,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ~ ( ~ ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) )
| ( in_lopen @ SV7 @ SV22 @ SV36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(250,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV23 )
| ~ ( leq @ SV23 @ SV8 ) )
= $true )
| ( ( SV8 = SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(251,plain,
! [SV37: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( ~ ( less @ SV9 @ SV24 )
| ~ ( less @ SV24 @ SV37 ) ) )
= $false )
| ( ( less @ SV9 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(252,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( leq @ SV10 @ SV25 )
| ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(253,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
| ( leq @ SV10 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(254,plain,
! [SV38: $i,SV26: $i,SV11: $i] :
( ( ~ ( ~ ( in_open @ SV11 @ SV26 @ SV38 )
| ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(255,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ~ ( ~ ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) )
| ( in_open @ SV11 @ SV26 @ SV38 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(256,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ~ ( ~ ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
| ~ ~ ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV13 @ SV28 )
| ~ ( in_closed @ SY117 @ SV39 @ SV43 ) ) )
| ~ ( ~ ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV13 @ SV28 )
| ~ ( in_closed @ SY118 @ SV39 @ SV43 ) )
| ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(257,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ~ ( ~ ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
| ~ ! [SY119: $i] :
~ ~ ( ~ ( in_closed @ SY119 @ SV14 @ SV29 )
| ~ ( in_closed @ SY119 @ SV40 @ SV44 ) ) )
| ~ ( ~ ~ ! [SY120: $i] :
~ ~ ( ~ ( in_closed @ SY120 @ SV14 @ SV29 )
| ~ ( in_closed @ SY120 @ SV40 @ SV44 ) )
| ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(258,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
| ~ ( ( v500 != v600 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(259,plain,
( ( ~ ( ( v500 != v601 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(260,plain,
! [SV41: $i,SV30: $i,SV15: $i] :
( ( ~ ( ~ ( in_ropen @ SV15 @ SV30 @ SV41 )
| ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(261,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) )
| ( in_ropen @ SV15 @ SV30 @ SV41 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(262,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ~ ( ~ ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
| ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV16 @ SV31 )
| ( in_closed @ SY121 @ SV42 @ SV45 ) ) )
| ~ ( ~ ! [SY122: $i] :
( ~ ( in_closed @ SY122 @ SV16 @ SV31 )
| ( in_closed @ SY122 @ SV42 @ SV45 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(263,plain,
! [SV32: $i,SV18: $i,SV3: $i] :
( ( ~ ( in_closed @ SV3 @ SV18 @ SV32 )
| ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(264,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ~ ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) )
| ( in_closed @ SV3 @ SV18 @ SV32 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(265,plain,
! [SV33: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV19 )
| ~ ( leq @ SV19 @ SV33 ) )
= $true )
| ( ( leq @ SV4 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(266,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ( ~ ( leq @ SV5 @ SV20 )
| ~ ( less @ SV20 @ SV34 ) )
= $true )
| ( ( less @ SV5 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(267,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( less @ SV6 @ SV21 )
| ~ ( leq @ SV21 @ SV35 ) )
= $true )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(268,plain,
( ( ~ ! [SY123: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ SY123 ) )
| ~ ( in_lopen @ SY123 @ v0 @ v32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(269,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ~ ( in_lopen @ SV7 @ SV22 @ SV36 )
| ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(270,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ~ ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) )
| ( in_lopen @ SV7 @ SV22 @ SV36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(271,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV23 ) )
= $true )
| ( ( ~ ( leq @ SV23 @ SV8 ) )
= $true )
| ( ( SV8 = SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(272,plain,
! [SV37: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( less @ SV9 @ SV24 )
| ~ ( less @ SV24 @ SV37 ) )
= $true )
| ( ( less @ SV9 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(273,plain,
! [SV25: $i,SV10: $i] :
( ( ( ~ ( leq @ SV10 @ SV25 ) )
= $true )
| ( ( ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(274,plain,
! [SV25: $i,SV10: $i] :
( ( ( ~ ( ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) ) )
= $true )
| ( ( leq @ SV10 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(275,plain,
! [SV38: $i,SV26: $i,SV11: $i] :
( ( ~ ( in_open @ SV11 @ SV26 @ SV38 )
| ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(276,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ~ ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) )
| ( in_open @ SV11 @ SV26 @ SV38 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(277,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ~ ( ~ ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
| ~ ~ ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV13 @ SV28 )
| ~ ( in_closed @ SY117 @ SV39 @ SV43 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(278,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ~ ( ~ ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV13 @ SV28 )
| ~ ( in_closed @ SY118 @ SV39 @ SV43 ) )
| ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(279,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ~ ( ~ ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
| ~ ! [SY119: $i] :
~ ~ ( ~ ( in_closed @ SY119 @ SV14 @ SV29 )
| ~ ( in_closed @ SY119 @ SV40 @ SV44 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(280,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ~ ( ~ ~ ! [SY120: $i] :
~ ~ ( ~ ( in_closed @ SY120 @ SV14 @ SV29 )
| ~ ( in_closed @ SY120 @ SV40 @ SV44 ) )
| ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(281,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
| ~ ( ( v500 != v600 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(282,plain,
( ( v500 != v601 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(283,plain,
! [SV41: $i,SV30: $i,SV15: $i] :
( ( ~ ( in_ropen @ SV15 @ SV30 @ SV41 )
| ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(284,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ~ ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) )
| ( in_ropen @ SV15 @ SV30 @ SV41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(285,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ~ ( ~ ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
| ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV16 @ SV31 )
| ( in_closed @ SY121 @ SV42 @ SV45 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(286,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ~ ( ~ ! [SY122: $i] :
( ~ ( in_closed @ SY122 @ SV16 @ SV31 )
| ( in_closed @ SY122 @ SV42 @ SV45 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(287,plain,
! [SV32: $i,SV18: $i,SV3: $i] :
( ( ( ~ ( in_closed @ SV3 @ SV18 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(288,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) ) )
= $true )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(289,plain,
! [SV33: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV19 ) )
= $true )
| ( ( ~ ( leq @ SV19 @ SV33 ) )
= $true )
| ( ( leq @ SV4 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(290,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ( ~ ( leq @ SV5 @ SV20 ) )
= $true )
| ( ( ~ ( less @ SV20 @ SV34 ) )
= $true )
| ( ( less @ SV5 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(291,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( less @ SV6 @ SV21 ) )
= $true )
| ( ( ~ ( leq @ SV21 @ SV35 ) )
= $true )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(292,plain,
( ( ! [SY123: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ SY123 ) )
| ~ ( in_lopen @ SY123 @ v0 @ v32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(293,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( in_lopen @ SV7 @ SV22 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(294,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) ) )
= $true )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(295,plain,
! [SV23: $i,SV8: $i] :
( ( ( leq @ SV8 @ SV23 )
= $false )
| ( ( ~ ( leq @ SV23 @ SV8 ) )
= $true )
| ( ( SV8 = SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(296,plain,
! [SV37: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( less @ SV9 @ SV24 ) )
= $true )
| ( ( ~ ( less @ SV24 @ SV37 ) )
= $true )
| ( ( less @ SV9 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(297,plain,
! [SV25: $i,SV10: $i] :
( ( ( leq @ SV10 @ SV25 )
= $false )
| ( ( ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(298,plain,
! [SV25: $i,SV10: $i] :
( ( ( ( less @ SV10 @ SV25 )
| ( SV10 = SV25 ) )
= $false )
| ( ( leq @ SV10 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(299,plain,
! [SV38: $i,SV26: $i,SV11: $i] :
( ( ( ~ ( in_open @ SV11 @ SV26 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(300,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) ) )
= $true )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(301,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ~ ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
| ~ ~ ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV13 @ SV28 )
| ~ ( in_closed @ SY117 @ SV39 @ SV43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(302,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ~ ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV13 @ SV28 )
| ~ ( in_closed @ SY118 @ SV39 @ SV43 ) )
| ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(303,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ~ ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
| ~ ! [SY119: $i] :
~ ~ ( ~ ( in_closed @ SY119 @ SV14 @ SV29 )
| ~ ( in_closed @ SY119 @ SV40 @ SV44 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(304,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ~ ~ ! [SY120: $i] :
~ ~ ( ~ ( in_closed @ SY120 @ SV14 @ SV29 )
| ~ ( in_closed @ SY120 @ SV40 @ SV44 ) )
| ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(305,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
| ~ ( ( v500 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(306,plain,
( ( v500 = v601 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(307,plain,
! [SV41: $i,SV30: $i,SV15: $i] :
( ( ( ~ ( in_ropen @ SV15 @ SV30 @ SV41 ) )
= $true )
| ( ( ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(308,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) ) )
= $true )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(309,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ~ ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
| ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV16 @ SV31 )
| ( in_closed @ SY121 @ SV42 @ SV45 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(310,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ~ ! [SY122: $i] :
( ~ ( in_closed @ SY122 @ SV16 @ SV31 )
| ( in_closed @ SY122 @ SV42 @ SV45 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(311,plain,
! [SV32: $i,SV18: $i,SV3: $i] :
( ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $false )
| ( ( ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(312,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ( ~ ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) ) )
= $false )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(313,plain,
! [SV33: $i,SV19: $i,SV4: $i] :
( ( ( leq @ SV4 @ SV19 )
= $false )
| ( ( ~ ( leq @ SV19 @ SV33 ) )
= $true )
| ( ( leq @ SV4 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(314,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ( leq @ SV5 @ SV20 )
= $false )
| ( ( ~ ( less @ SV20 @ SV34 ) )
= $true )
| ( ( less @ SV5 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(315,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ( less @ SV6 @ SV21 )
= $false )
| ( ( ~ ( leq @ SV21 @ SV35 ) )
= $true )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(316,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ sK3_SY123 ) )
| ~ ( in_lopen @ sK3_SY123 @ v0 @ v32 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(317,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $false )
| ( ( ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(318,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ( ~ ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) ) )
= $false )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(319,plain,
! [SV8: $i,SV23: $i] :
( ( ( leq @ SV23 @ SV8 )
= $false )
| ( ( leq @ SV8 @ SV23 )
= $false )
| ( ( SV8 = SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(320,plain,
! [SV37: $i,SV24: $i,SV9: $i] :
( ( ( less @ SV9 @ SV24 )
= $false )
| ( ( ~ ( less @ SV24 @ SV37 ) )
= $true )
| ( ( less @ SV9 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(321,plain,
! [SV25: $i,SV10: $i] :
( ( ( less @ SV10 @ SV25 )
= $true )
| ( ( SV10 = SV25 )
= $true )
| ( ( leq @ SV10 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(322,plain,
! [SV25: $i,SV10: $i] :
( ( ( less @ SV10 @ SV25 )
= $false )
| ( ( leq @ SV10 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(323,plain,
! [SV25: $i,SV10: $i] :
( ( ( SV10 = SV25 )
= $false )
| ( ( leq @ SV10 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(324,plain,
! [SV38: $i,SV26: $i,SV11: $i] :
( ( ( in_open @ SV11 @ SV26 @ SV38 )
= $false )
| ( ( ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(325,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ( ~ ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) ) )
= $false )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(326,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ( ~ ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 ) )
= $true )
| ( ( ~ ~ ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV13 @ SV28 )
| ~ ( in_closed @ SY117 @ SV39 @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(327,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ( ~ ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV13 @ SV28 )
| ~ ( in_closed @ SY118 @ SV39 @ SV43 ) ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(328,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ( ~ ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ! [SY119: $i] :
~ ~ ( ~ ( in_closed @ SY119 @ SV14 @ SV29 )
| ~ ( in_closed @ SY119 @ SV40 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(329,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ( ~ ~ ! [SY120: $i] :
~ ~ ( ~ ( in_closed @ SY120 @ SV14 @ SV29 )
| ~ ( in_closed @ SY120 @ SV40 @ SV44 ) ) )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(330,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(331,plain,
( ( ~ ( ( v500 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(332,plain,
! [SV41: $i,SV30: $i,SV15: $i] :
( ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $false )
| ( ( ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(333,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ( ~ ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) ) )
= $false )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(334,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ( ~ ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 ) )
= $true )
| ( ( ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV16 @ SV31 )
| ( in_closed @ SY121 @ SV42 @ SV45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(335,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ( ~ ! [SY122: $i] :
( ~ ( in_closed @ SY122 @ SV16 @ SV31 )
| ( in_closed @ SY122 @ SV42 @ SV45 ) ) )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(336,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) )
= $false )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(337,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ( ~ ( leq @ SV18 @ SV3 )
| ~ ( leq @ SV3 @ SV32 ) )
= $true )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(338,plain,
! [SV4: $i,SV33: $i,SV19: $i] :
( ( ( leq @ SV19 @ SV33 )
= $false )
| ( ( leq @ SV4 @ SV19 )
= $false )
| ( ( leq @ SV4 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(339,plain,
! [SV5: $i,SV34: $i,SV20: $i] :
( ( ( less @ SV20 @ SV34 )
= $false )
| ( ( leq @ SV5 @ SV20 )
= $false )
| ( ( less @ SV5 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(340,plain,
! [SV6: $i,SV35: $i,SV21: $i] :
( ( ( leq @ SV21 @ SV35 )
= $false )
| ( ( less @ SV6 @ SV21 )
= $false )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(341,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ sK3_SY123 ) )
| ~ ( in_lopen @ sK3_SY123 @ v0 @ v32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(342,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) )
= $false )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(343,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ( ~ ( less @ SV22 @ SV7 )
| ~ ( leq @ SV7 @ SV36 ) )
= $true )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(344,plain,
! [SV9: $i,SV37: $i,SV24: $i] :
( ( ( less @ SV24 @ SV37 )
= $false )
| ( ( less @ SV9 @ SV24 )
= $false )
| ( ( less @ SV9 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(345,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) )
= $false )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(346,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ( ~ ( less @ SV26 @ SV11 )
| ~ ( less @ SV11 @ SV38 ) )
= $true )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(347,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false )
| ( ( ~ ~ ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV13 @ SV28 )
| ~ ( in_closed @ SY117 @ SV39 @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(348,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ( ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV13 @ SV28 )
| ~ ( in_closed @ SY118 @ SV39 @ SV43 ) ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(349,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false )
| ( ( ~ ! [SY119: $i] :
~ ~ ( ~ ( in_closed @ SY119 @ SV14 @ SV29 )
| ~ ( in_closed @ SY119 @ SV40 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(350,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ( ~ ! [SY120: $i] :
~ ~ ( ~ ( in_closed @ SY120 @ SV14 @ SV29 )
| ~ ( in_closed @ SY120 @ SV40 @ SV44 ) ) )
= $false )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(351,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(352,plain,
( ( v500 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(353,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) )
= $false )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(354,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ( ~ ( leq @ SV30 @ SV15 )
| ~ ( less @ SV15 @ SV41 ) )
= $true )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(355,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $false )
| ( ( ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV16 @ SV31 )
| ( in_closed @ SY121 @ SV42 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(356,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i] :
( ( ( ! [SY122: $i] :
( ~ ( in_closed @ SY122 @ SV16 @ SV31 )
| ( in_closed @ SY122 @ SV42 @ SV45 ) ) )
= $false )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(357,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ( ~ ( leq @ SV18 @ SV3 ) )
= $false )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(358,plain,
! [SV18: $i,SV32: $i,SV3: $i] :
( ( ( ~ ( leq @ SV3 @ SV32 ) )
= $false )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(359,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ( ~ ( leq @ SV18 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV32 ) )
= $true )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(360,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ sK3_SY123 ) )
| ~ ( in_lopen @ sK3_SY123 @ v0 @ v32 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(361,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ( ~ ( less @ SV22 @ SV7 ) )
= $false )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(362,plain,
! [SV22: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( leq @ SV7 @ SV36 ) )
= $false )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(363,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ( ~ ( less @ SV22 @ SV7 ) )
= $true )
| ( ( ~ ( leq @ SV7 @ SV36 ) )
= $true )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(364,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ( ~ ( less @ SV26 @ SV11 ) )
= $false )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(365,plain,
! [SV26: $i,SV38: $i,SV11: $i] :
( ( ( ~ ( less @ SV11 @ SV38 ) )
= $false )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(366,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ( ~ ( less @ SV26 @ SV11 ) )
= $true )
| ( ( ~ ( less @ SV11 @ SV38 ) )
= $true )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(367,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ( ~ ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV13 @ SV28 )
| ~ ( in_closed @ SY117 @ SV39 @ SV43 ) ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(368,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ( ~ ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV13 @ SV28 )
| ~ ( in_closed @ SY118 @ SV39 @ SV43 ) ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(369,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ( ! [SY119: $i] :
~ ~ ( ~ ( in_closed @ SY119 @ SV14 @ SV29 )
| ~ ( in_closed @ SY119 @ SV40 @ SV44 ) ) )
= $false )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(370,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i] :
( ( ( ! [SY120: $i] :
~ ~ ( ~ ( in_closed @ SY120 @ SV14 @ SV29 )
| ~ ( in_closed @ SY120 @ SV40 @ SV44 ) ) )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(371,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
| ~ ( ( v300 != v601 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(372,plain,
( ( v500 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(373,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ( ~ ( leq @ SV30 @ SV15 ) )
= $false )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(374,plain,
! [SV30: $i,SV41: $i,SV15: $i] :
( ( ( ~ ( less @ SV15 @ SV41 ) )
= $false )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(375,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ( ~ ( leq @ SV30 @ SV15 ) )
= $true )
| ( ( ~ ( less @ SV15 @ SV41 ) )
= $true )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(376,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i,SV46: $i] :
( ( ( ~ ( in_closed @ SV46 @ SV16 @ SV31 )
| ( in_closed @ SV46 @ SV42 @ SV45 ) )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(377,plain,
! [SV16: $i,SV31: $i,SV42: $i,SV45: $i] :
( ( ( ~ ( in_closed @ ( sK4_SY122 @ SV45 @ SV42 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ( in_closed @ ( sK4_SY122 @ SV45 @ SV42 @ SV31 @ SV16 ) @ SV42 @ SV45 ) )
= $false )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[356]) ).
thf(378,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV3 )
= $true )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(379,plain,
! [SV18: $i,SV32: $i,SV3: $i] :
( ( ( leq @ SV3 @ SV32 )
= $true )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(380,plain,
! [SV32: $i,SV3: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV3 )
= $false )
| ( ( ~ ( leq @ SV3 @ SV32 ) )
= $true )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(381,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ sK3_SY123 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(382,plain,
( ( ~ ( in_lopen @ sK3_SY123 @ v0 @ v32 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(383,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ( less @ SV22 @ SV7 )
= $true )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(384,plain,
! [SV22: $i,SV36: $i,SV7: $i] :
( ( ( leq @ SV7 @ SV36 )
= $true )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(385,plain,
! [SV36: $i,SV7: $i,SV22: $i] :
( ( ( less @ SV22 @ SV7 )
= $false )
| ( ( ~ ( leq @ SV7 @ SV36 ) )
= $true )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(386,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ( less @ SV26 @ SV11 )
= $true )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(387,plain,
! [SV26: $i,SV38: $i,SV11: $i] :
( ( ( less @ SV11 @ SV38 )
= $true )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(388,plain,
! [SV38: $i,SV11: $i,SV26: $i] :
( ( ( less @ SV26 @ SV11 )
= $false )
| ( ( ~ ( less @ SV11 @ SV38 ) )
= $true )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(389,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ( ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV13 @ SV28 )
| ~ ( in_closed @ SY117 @ SV39 @ SV43 ) ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(390,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i] :
( ( ( ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV13 @ SV28 )
| ~ ( in_closed @ SY118 @ SV39 @ SV43 ) ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(391,plain,
! [SV14: $i,SV29: $i,SV40: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV14 @ SV29 )
| ~ ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV40 @ SV44 ) ) )
= $false )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[369]) ).
thf(392,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV47 @ SV14 @ SV29 )
| ~ ( in_closed @ SV47 @ SV40 @ SV44 ) ) )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(393,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(394,plain,
( ( ~ ( ( v300 != v601 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(395,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ( leq @ SV30 @ SV15 )
= $true )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(396,plain,
! [SV30: $i,SV41: $i,SV15: $i] :
( ( ( less @ SV15 @ SV41 )
= $true )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(397,plain,
! [SV41: $i,SV15: $i,SV30: $i] :
( ( ( leq @ SV30 @ SV15 )
= $false )
| ( ( ~ ( less @ SV15 @ SV41 ) )
= $true )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(398,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i,SV46: $i] :
( ( ( ~ ( in_closed @ SV46 @ SV16 @ SV31 ) )
= $true )
| ( ( in_closed @ SV46 @ SV42 @ SV45 )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(399,plain,
! [SV16: $i,SV31: $i,SV42: $i,SV45: $i] :
( ( ( ~ ( in_closed @ ( sK4_SY122 @ SV45 @ SV42 @ SV31 @ SV16 ) @ SV16 @ SV31 ) )
= $false )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(400,plain,
! [SV16: $i,SV31: $i,SV42: $i,SV45: $i] :
( ( ( in_closed @ ( sK4_SY122 @ SV45 @ SV42 @ SV31 @ SV16 ) @ SV42 @ SV45 )
= $false )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(401,plain,
! [SV18: $i,SV32: $i,SV3: $i] :
( ( ( leq @ SV3 @ SV32 )
= $false )
| ( ( leq @ SV18 @ SV3 )
= $false )
| ( ( in_closed @ SV3 @ SV18 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(402,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ sK3_SY123 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(403,plain,
( ( in_lopen @ sK3_SY123 @ v0 @ v32 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(404,plain,
! [SV22: $i,SV36: $i,SV7: $i] :
( ( ( leq @ SV7 @ SV36 )
= $false )
| ( ( less @ SV22 @ SV7 )
= $false )
| ( ( in_lopen @ SV7 @ SV22 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(405,plain,
! [SV26: $i,SV38: $i,SV11: $i] :
( ( ( less @ SV11 @ SV38 )
= $false )
| ( ( less @ SV26 @ SV11 )
= $false )
| ( ( in_open @ SV11 @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(406,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV48 @ SV13 @ SV28 )
| ~ ( in_closed @ SV48 @ SV39 @ SV43 ) ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(407,plain,
! [SV13: $i,SV28: $i,SV39: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV13 @ SV28 )
| ~ ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV39 @ SV43 ) ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[390]) ).
thf(408,plain,
! [SV14: $i,SV29: $i,SV40: $i,SV44: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV14 @ SV29 )
| ~ ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV40 @ SV44 ) ) )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(409,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i,SV47: $i] :
( ( ( ~ ( ~ ( in_closed @ SV47 @ SV14 @ SV29 )
| ~ ( in_closed @ SV47 @ SV40 @ SV44 ) ) )
= $false )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(410,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(411,plain,
( ( v300 != v601 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(412,plain,
! [SV30: $i,SV41: $i,SV15: $i] :
( ( ( less @ SV15 @ SV41 )
= $false )
| ( ( leq @ SV30 @ SV15 )
= $false )
| ( ( in_ropen @ SV15 @ SV30 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(413,plain,
! [SV45: $i,SV42: $i,SV31: $i,SV16: $i,SV46: $i] :
( ( ( in_closed @ SV46 @ SV16 @ SV31 )
= $false )
| ( ( in_closed @ SV46 @ SV42 @ SV45 )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(414,plain,
! [SV16: $i,SV31: $i,SV42: $i,SV45: $i] :
( ( ( in_closed @ ( sK4_SY122 @ SV45 @ SV42 @ SV31 @ SV16 ) @ SV16 @ SV31 )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV42 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(415,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
| ~ ( leq @ v16 @ sK3_SY123 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(416,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i,SV48: $i] :
( ( ( ~ ( ~ ( in_closed @ SV48 @ SV13 @ SV28 )
| ~ ( in_closed @ SV48 @ SV39 @ SV43 ) ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(417,plain,
! [SV13: $i,SV28: $i,SV39: $i,SV43: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV13 @ SV28 )
| ~ ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV39 @ SV43 ) ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(418,plain,
! [SV14: $i,SV29: $i,SV40: $i,SV44: $i] :
( ( ( ~ ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV14 @ SV29 )
| ~ ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV40 @ SV44 ) )
= $false )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(419,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i,SV47: $i] :
( ( ( ~ ( in_closed @ SV47 @ SV14 @ SV29 )
| ~ ( in_closed @ SV47 @ SV40 @ SV44 ) )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(420,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
| ~ ( ( v300 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(421,plain,
( ( v300 = v601 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(422,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(423,plain,
( ( ~ ( leq @ v16 @ sK3_SY123 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(424,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i,SV48: $i] :
( ( ( ~ ( in_closed @ SV48 @ SV13 @ SV28 )
| ~ ( in_closed @ SV48 @ SV39 @ SV43 ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(425,plain,
! [SV13: $i,SV28: $i,SV39: $i,SV43: $i] :
( ( ( ~ ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV13 @ SV28 )
| ~ ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV39 @ SV43 ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(426,plain,
! [SV14: $i,SV29: $i,SV40: $i,SV44: $i] :
( ( ( ~ ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV14 @ SV29 ) )
= $false )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(427,plain,
! [SV14: $i,SV29: $i,SV40: $i,SV44: $i] :
( ( ( ~ ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV40 @ SV44 ) )
= $false )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(428,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i,SV47: $i] :
( ( ( ~ ( in_closed @ SV47 @ SV14 @ SV29 ) )
= $true )
| ( ( ~ ( in_closed @ SV47 @ SV40 @ SV44 ) )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(429,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(430,plain,
( ( ~ ( ( v300 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(431,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(432,plain,
( ( leq @ v16 @ sK3_SY123 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(433,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i,SV48: $i] :
( ( ( ~ ( in_closed @ SV48 @ SV13 @ SV28 ) )
= $true )
| ( ( ~ ( in_closed @ SV48 @ SV39 @ SV43 ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(434,plain,
! [SV13: $i,SV28: $i,SV39: $i,SV43: $i] :
( ( ( ~ ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV13 @ SV28 ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(435,plain,
! [SV13: $i,SV28: $i,SV39: $i,SV43: $i] :
( ( ( ~ ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV39 @ SV43 ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(436,plain,
! [SV14: $i,SV29: $i,SV40: $i,SV44: $i] :
( ( ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV14 @ SV29 )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(437,plain,
! [SV14: $i,SV29: $i,SV40: $i,SV44: $i] :
( ( ( in_closed @ ( sK5_SY119 @ SV44 @ SV40 @ SV29 @ SV14 ) @ SV40 @ SV44 )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(438,plain,
! [SV44: $i,SV40: $i,SV29: $i,SV14: $i,SV47: $i] :
( ( ( in_closed @ SV47 @ SV14 @ SV29 )
= $false )
| ( ( ~ ( in_closed @ SV47 @ SV40 @ SV44 ) )
= $true )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(439,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(440,plain,
( ( v300 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(441,plain,
( ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
| ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(442,plain,
! [SV43: $i,SV39: $i,SV28: $i,SV13: $i,SV48: $i] :
( ( ( in_closed @ SV48 @ SV13 @ SV28 )
= $false )
| ( ( ~ ( in_closed @ SV48 @ SV39 @ SV43 ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(443,plain,
! [SV13: $i,SV28: $i,SV39: $i,SV43: $i] :
( ( ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV13 @ SV28 )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(444,plain,
! [SV13: $i,SV28: $i,SV39: $i,SV43: $i] :
( ( ( in_closed @ ( sK6_SY118 @ SV43 @ SV39 @ SV28 @ SV13 ) @ SV39 @ SV43 )
= $true )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(445,plain,
! [SV29: $i,SV14: $i,SV44: $i,SV40: $i,SV47: $i] :
( ( ( in_closed @ SV47 @ SV40 @ SV44 )
= $false )
| ( ( in_closed @ SV47 @ SV14 @ SV29 )
= $false )
| ( ( axis_compatible @ SV14 @ SV29 @ SV40 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(446,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
| ~ ( ( v300 != v500 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(447,plain,
( ( v300 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(448,plain,
( ( ~ ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(449,plain,
( ( ~ ( in_open @ sK2_SY90 @ v0 @ v500 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(450,plain,
! [SV28: $i,SV13: $i,SV43: $i,SV39: $i,SV48: $i] :
( ( ( in_closed @ SV48 @ SV39 @ SV43 )
= $false )
| ( ( in_closed @ SV48 @ SV13 @ SV28 )
= $false )
| ( ( axis_conflict @ SV13 @ SV28 @ SV39 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(451,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(452,plain,
( ( ~ ( ( v300 != v500 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(453,plain,
( ( ~ ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(454,plain,
( ( in_open @ sK2_SY90 @ v0 @ v500 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(455,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(456,plain,
( ( v300 != v500 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(457,plain,
( ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
| ~ ( less @ v300 @ sK2_SY90 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(458,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
| ~ ( ( v32 != v601 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(459,plain,
( ( v300 = v500 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(460,plain,
( ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(461,plain,
( ( ~ ( less @ v300 @ sK2_SY90 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(462,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(463,plain,
( ( ~ ( ( v32 != v601 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(464,plain,
( ( ~ ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(465,plain,
( ( less @ v300 @ sK2_SY90 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(466,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(467,plain,
( ( v32 != v601 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(468,plain,
( ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 )
| ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(469,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
| ~ ( ( v32 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(470,plain,
( ( v32 = v601 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(471,plain,
( ( ~ ( in_closed @ sK1_SX0 @ v600 @ v600 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(472,plain,
( ( ~ ( in_closed @ sK1_SX0 @ v601 @ v601 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(473,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(474,plain,
( ( ~ ( ( v32 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(475,plain,
( ( in_closed @ sK1_SX0 @ v600 @ v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(476,plain,
( ( in_closed @ sK1_SX0 @ v601 @ v601 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(477,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(478,plain,
( ( v32 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(479,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
| ~ ( ( v32 != v500 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(480,plain,
( ( v32 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(481,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(482,plain,
( ( ~ ( ( v32 != v500 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(483,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(484,plain,
( ( v32 != v500 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(485,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
| ~ ( ( v32 != v300 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(486,plain,
( ( v32 = v500 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(487,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(488,plain,
( ( ~ ( ( v32 != v300 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(489,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(490,plain,
( ( v32 != v300 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(491,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
| ~ ( ( v16 != v601 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(492,plain,
( ( v32 = v300 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(493,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(494,plain,
( ( ~ ( ( v16 != v601 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(495,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(496,plain,
( ( v16 != v601 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(497,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
| ~ ( ( v16 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(498,plain,
( ( v16 = v601 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(499,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(500,plain,
( ( ~ ( ( v16 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(501,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(502,plain,
( ( v16 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(503,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
| ~ ( ( v16 != v500 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(504,plain,
( ( v16 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(505,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(506,plain,
( ( ~ ( ( v16 != v500 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(507,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(508,plain,
( ( v16 != v500 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(509,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
| ~ ( ( v16 != v300 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(510,plain,
( ( v16 = v500 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(511,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(512,plain,
( ( ~ ( ( v16 != v300 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(513,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(514,plain,
( ( v16 != v300 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(515,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
| ~ ( ( v16 != v32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(516,plain,
( ( v16 = v300 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(517,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(518,plain,
( ( ~ ( ( v16 != v32 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(519,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(520,plain,
( ( v16 != v32 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(521,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v0 != v601 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(522,plain,
( ( v16 = v32 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(523,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(524,plain,
( ( ~ ( ( v0 != v601 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(525,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(526,plain,
( ( v0 != v601 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(527,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
| ~ ( ( v0 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(528,plain,
( ( v0 = v601 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(529,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(530,plain,
( ( ~ ( ( v0 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(531,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(532,plain,
( ( v0 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(533,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
| ~ ( ( v0 != v500 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(534,plain,
( ( v0 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(535,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(536,plain,
( ( ~ ( ( v0 != v500 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(537,plain,
( ( ~ ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(538,plain,
( ( v0 != v500 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(539,plain,
( ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
| ~ ( ( v0 != v300 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(540,plain,
( ( v0 = v500 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(541,plain,
( ( ~ ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(542,plain,
( ( ~ ( ( v0 != v300 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(543,plain,
( ( ~ ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(544,plain,
( ( v0 != v300 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(545,plain,
( ( ~ ( ( v0 != v16 ) )
| ~ ( ( v0 != v32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(546,plain,
( ( v0 = v300 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(547,plain,
( ( ~ ( ( v0 != v16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(548,plain,
( ( ~ ( ( v0 != v32 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(549,plain,
( ( v0 != v16 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(550,plain,
( ( v0 != v32 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(551,plain,
( ( v0 = v16 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(552,plain,
( ( v0 = v32 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(553,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[122,552,551,546,540,534,528,522,516,510,504,498,492,486,480,476,475,470,465,459,454,450,447,445,444,443,437,436,432,421,414,413,412,405,404,403,401,400,396,395,387,386,384,383,379,378,372,344,340,339,338,323,322,321,319,306,239,235,223,186,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123]) ).
thf(554,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT082+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
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 12:46:21 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.23/0.45
% 1.23/0.45 No.of.Axioms: 45
% 1.23/0.45
% 1.23/0.45 Length.of.Defs: 0
% 1.23/0.45
% 1.23/0.45 Contains.Choice.Funs: false
% 1.23/0.45 .....................
% 1.23/0.45
% 1.23/0.45 ********************************
% 1.23/0.45 * All subproblems solved! *
% 1.23/0.45 ********************************
% 1.23/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:45,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:553,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.23/0.45
% 1.23/0.45 %**** Beginning of derivation protocol ****
% 1.23/0.45 % SZS output start CNFRefutation
% See solution above
% 1.23/0.45
% 1.23/0.45 %**** End of derivation protocol ****
% 1.23/0.45 %**** no. of clauses in derivation: 543 ****
% 1.23/0.45 %**** clause counter: 553 ****
% 1.23/0.45
% 1.23/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:45,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:553,loop_count:0,foatp_calls:1,translation:fof_full)
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