%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT103+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 : n006.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 10:31:52 AM UTC 2026
% Result : Unsatisfiable 0.75s 0.40s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 35
% Syntax : Number of formulae : 458 ( 228 unt; 0 typ; 0 def)
% Number of atoms : 3136 (1207 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 5490 (1464 ~; 964 |; 72 &;2930 @)
% ( 24 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 8 con; 0-4 aty)
% Number of variables : 1178 ( 0 ^;1172 !; 6 ?;1178 :)
% 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_SY128,type,
sK1_SY128: $i > $i > $i > $i > $i ).
thf(tp_sK2_SY129,type,
sK2_SY129: $i > $i > $i > $i > $i ).
thf(tp_sK3_SY126,type,
sK3_SY126: $i > $i > $i > $i > $i ).
thf(tp_unknown,type,
unknown: $i ).
thf(tp_v0,type,
v0: $i ).
thf(tp_v600,type,
v600: $i ).
thf(tp_v800,type,
v800: $i ).
thf(tp_val,type,
val: $i > $o ).
thf(1,axiom,
( ( less @ v800 @ v600 )
& ( less @ v600 @ v800 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
thf(2,axiom,
( ( v0 != v600 )
& ( v0 != v800 )
& ( v600 != v800 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
thf(3,axiom,
less @ v600 @ v800,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
thf(4,axiom,
less @ v0 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
thf(5,axiom,
val @ v800,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v800) ).
thf(6,axiom,
val @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v600) ).
thf(7,axiom,
val @ v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v0) ).
thf(8,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 ) )
=> ( ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_verdict_total) ).
thf(9,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = unknown )
| ( V2 = unknown ) )
& ( V1 != conflict )
& ( V2 != conflict ) )
=> ( ( box_verdict @ V1 @ V2 )
= unknown ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_unknown) ).
thf(10,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( V1 = compatible )
& ( V2 = compatible ) )
=> ( ( box_verdict @ V1 @ V2 )
= compatible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_compatible) ).
thf(11,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = conflict )
| ( V2 = conflict ) ) )
=> ( ( box_verdict @ V1 @ V2 )
= conflict ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_conflict) ).
thf(12,axiom,
! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdict_enum) ).
thf(13,axiom,
compatible != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
thf(14,axiom,
conflict != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
thf(15,axiom,
conflict != compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
thf(16,axiom,
is_verdict @ unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_is_verdict) ).
thf(17,axiom,
is_verdict @ compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible_is_verdict) ).
thf(18,axiom,
is_verdict @ conflict,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conflict_is_verdict) ).
thf(19,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(20,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(21,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(22,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(23,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(24,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(25,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(26,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(27,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(28,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(29,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
thf(30,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).
thf(31,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
thf(32,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).
thf(33,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(34,axiom,
! [X: $i] :
~ ( less @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
thf(35,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(36,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[35]) ).
thf(37,plain,
$false = $false,
inference(unfold_def,[status(thm)],[36]) ).
thf(38,plain,
( ( ( less @ v800 @ v600 )
& ( less @ v600 @ v800 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(39,plain,
( ( ( v0 != v600 )
& ( v0 != v800 )
& ( v600 != v800 ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(40,plain,
( ( less @ v600 @ v800 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(41,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(42,plain,
( ( val @ v800 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(43,plain,
( ( val @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(44,plain,
( ( val @ v0 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(45,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 ) )
=> ( ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(46,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = unknown )
| ( V2 = unknown ) )
& ( V1 != conflict )
& ( V2 != conflict ) )
=> ( ( box_verdict @ V1 @ V2 )
= unknown ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(47,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( V1 = compatible )
& ( V2 = compatible ) )
=> ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(48,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = conflict )
| ( V2 = conflict ) ) )
=> ( ( box_verdict @ V1 @ V2 )
= conflict ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(49,plain,
( ( ! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(50,plain,
( ( compatible != unknown )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(51,plain,
( ( conflict != unknown )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(52,plain,
( ( conflict != compatible )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(53,plain,
( ( is_verdict @ unknown )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(54,plain,
( ( is_verdict @ compatible )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(55,plain,
( ( is_verdict @ conflict )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(56,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)],[19]) ).
thf(57,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)],[20]) ).
thf(58,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)],[21]) ).
thf(59,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(60,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(61,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(62,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(63,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(64,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(65,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(66,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(67,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(68,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(71,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(72,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[37]) ).
thf(73,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(74,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(75,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(76,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(77,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(78,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(79,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(80,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(81,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(82,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(83,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(84,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(85,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(86,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)],[58]) ).
thf(87,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)],[57]) ).
thf(88,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)],[56]) ).
thf(89,plain,
( ( is_verdict @ conflict )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(90,plain,
( ( is_verdict @ compatible )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(91,plain,
( ( is_verdict @ unknown )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(92,plain,
( ( conflict != compatible )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(93,plain,
( ( conflict != unknown )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(94,plain,
( ( compatible != unknown )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(95,plain,
( ( ! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(96,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = conflict )
| ( V2 = conflict ) ) )
=> ( ( box_verdict @ V1 @ V2 )
= conflict ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(97,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( V1 = compatible )
& ( V2 = compatible ) )
=> ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(98,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = unknown )
| ( V2 = unknown ) )
& ( V1 != conflict )
& ( V2 != conflict ) )
=> ( ( box_verdict @ V1 @ V2 )
= unknown ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(99,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 ) )
=> ( ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(100,plain,
( ( val @ v0 )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(101,plain,
( ( val @ v600 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(102,plain,
( ( val @ v800 )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(103,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(104,plain,
( ( less @ v600 @ v800 )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(105,plain,
( ( ( v0 != v600 )
& ( v0 != v800 )
& ( v600 != v800 ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(106,plain,
( ( ( less @ v800 @ v600 )
& ( less @ v600 @ v800 ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(107,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[72]) ).
thf(108,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)],[86]) ).
thf(109,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)],[88]) ).
thf(110,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)],[83]) ).
thf(111,plain,
( ( conflict != compatible )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(112,plain,
( ( ! [SX0: $i] :
( ~ ( is_verdict @ SX0 )
| ( SX0 = conflict )
| ( SX0 = compatible )
| ( SX0 = unknown ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(113,plain,
( ( conflict != unknown )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(114,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 ) )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= compatible )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(115,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 ) )
| ( SX0 != compatible ) )
| ( SX1 != compatible ) )
| ( ( box_verdict @ SX0 @ SX1 )
= compatible ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(116,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(117,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)],[84]) ).
thf(118,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)],[87]) ).
thf(119,plain,
( ( ~ ( ~ ~ ( ~ ( ( v0 != v600 ) )
| ~ ( ( v0 != v800 ) ) )
| ~ ( ( v600 != v800 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(120,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 ) )
| ~ ( ( SX0 = unknown )
| ( SX1 = unknown ) ) )
| ~ ( ( SX0 != conflict ) ) )
| ~ ( ( SX1 != conflict ) ) )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(121,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)],[85]) ).
thf(122,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)],[76]) ).
thf(123,plain,
( ( compatible != unknown )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(124,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(125,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( leq @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(126,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(127,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 ) )
| ~ ( ( SX0 = conflict )
| ( SX1 = conflict ) ) )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(128,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(129,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)],[82]) ).
thf(130,plain,
( ( ~ ( ~ ( less @ v800 @ v600 )
| ~ ( less @ v600 @ v800 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(131,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(132,plain,
! [SV1: $i] :
( ( ~ ( less @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(133,plain,
! [SV2: $i] :
( ( ! [SY57: $i] :
( ( less @ SV2 @ SY57 )
| ( SV2 = SY57 )
| ( less @ SY57 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(134,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(135,plain,
! [SV3: $i] :
( ( ! [SY58: $i,SY59: $i,SY60: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV3 @ SY58 @ SY59 @ SY60 )
| ~ ~ ! [SY61: $i] :
~ ~ ( ~ ( in_closed @ SY61 @ SV3 @ SY58 )
| ~ ( in_closed @ SY61 @ SY59 @ SY60 ) ) )
| ~ ( ~ ~ ~ ! [SY62: $i] :
~ ~ ( ~ ( in_closed @ SY62 @ SV3 @ SY58 )
| ~ ( in_closed @ SY62 @ SY59 @ SY60 ) )
| ( axis_conflict @ SV3 @ SY58 @ SY59 @ SY60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(136,plain,
! [SV4: $i] :
( ( ! [SY63: $i,SY64: $i,SY65: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV4 @ SY63 @ SY64 @ SY65 )
| ! [SY66: $i] :
( ~ ( in_closed @ SY66 @ SV4 @ SY63 )
| ( in_closed @ SY66 @ SY64 @ SY65 ) ) )
| ~ ( ~ ! [SY67: $i] :
( ~ ( in_closed @ SY67 @ SV4 @ SY63 )
| ( in_closed @ SY67 @ SY64 @ SY65 ) )
| ( axis_subsumes @ SV4 @ SY63 @ SY64 @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(137,plain,
! [SV5: $i] :
( ( ! [SY68: $i,SY69: $i] :
~ ( ~ ( ~ ( in_lopen @ SV5 @ SY68 @ SY69 )
| ~ ( ~ ( less @ SY68 @ SV5 )
| ~ ( leq @ SV5 @ SY69 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SY68 @ SV5 )
| ~ ( leq @ SV5 @ SY69 ) )
| ( in_lopen @ SV5 @ SY68 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(138,plain,
( ( conflict = compatible )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(139,plain,
! [SV6: $i] :
( ( ~ ( is_verdict @ SV6 )
| ( SV6 = conflict )
| ( SV6 = compatible )
| ( SV6 = unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(140,plain,
( ( conflict = unknown )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(141,plain,
! [SV7: $i] :
( ( ! [SY70: $i] :
( ~ ~ ( ~ ( is_verdict @ SV7 )
| ~ ( is_verdict @ SY70 ) )
| ( ( box_verdict @ SV7 @ SY70 )
= conflict )
| ( ( box_verdict @ SV7 @ SY70 )
= compatible )
| ( ( box_verdict @ SV7 @ SY70 )
= unknown ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(142,plain,
! [SV8: $i] :
( ( ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SY71 ) )
| ( SV8 != compatible ) )
| ( SY71 != compatible ) )
| ( ( box_verdict @ SV8 @ SY71 )
= compatible ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(143,plain,
! [SV9: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ~ ~ ( ~ ( less @ SV9 @ SY72 )
| ~ ( less @ SY72 @ SY73 ) )
| ( less @ SV9 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(144,plain,
! [SV10: $i] :
( ( ! [SY74: $i,SY75: $i] :
~ ( ~ ( ~ ( in_ropen @ SV10 @ SY74 @ SY75 )
| ~ ( ~ ( leq @ SY74 @ SV10 )
| ~ ( less @ SV10 @ SY75 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SY74 @ SV10 )
| ~ ( less @ SV10 @ SY75 ) )
| ( in_ropen @ SV10 @ SY74 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(145,plain,
! [SV11: $i] :
( ( ! [SY76: $i,SY77: $i,SY78: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV11 @ SY76 @ SY77 @ SY78 )
| ~ ! [SY79: $i] :
~ ~ ( ~ ( in_closed @ SY79 @ SV11 @ SY76 )
| ~ ( in_closed @ SY79 @ SY77 @ SY78 ) ) )
| ~ ( ~ ~ ! [SY80: $i] :
~ ~ ( ~ ( in_closed @ SY80 @ SV11 @ SY76 )
| ~ ( in_closed @ SY80 @ SY77 @ SY78 ) )
| ( axis_compatible @ SV11 @ SY76 @ SY77 @ SY78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(146,plain,
( ( ~ ~ ( ~ ( ( v0 != v600 ) )
| ~ ( ( v0 != v800 ) ) )
| ~ ( ( v600 != v800 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(147,plain,
! [SV12: $i] :
( ( ! [SY81: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SY81 ) )
| ~ ( ( SV12 = unknown )
| ( SY81 = unknown ) ) )
| ~ ( ( SV12 != conflict ) ) )
| ~ ( ( SY81 != conflict ) ) )
| ( ( box_verdict @ SV12 @ SY81 )
= unknown ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(148,plain,
! [SV13: $i] :
( ( ! [SY82: $i,SY83: $i] :
~ ( ~ ( ~ ( in_open @ SV13 @ SY82 @ SY83 )
| ~ ( ~ ( less @ SY82 @ SV13 )
| ~ ( less @ SV13 @ SY83 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SY82 @ SV13 )
| ~ ( less @ SV13 @ SY83 ) )
| ( in_open @ SV13 @ SY82 @ SY83 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(149,plain,
! [SV14: $i] :
( ( ! [SY84: $i] :
~ ( ~ ( ~ ( leq @ SV14 @ SY84 )
| ( less @ SV14 @ SY84 )
| ( SV14 = SY84 ) )
| ~ ( ~ ( ( less @ SV14 @ SY84 )
| ( SV14 = SY84 ) )
| ( leq @ SV14 @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(150,plain,
( ( compatible = unknown )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(151,plain,
! [SV15: $i] :
( ( ! [SY85: $i] :
( ~ ~ ( ~ ( leq @ SV15 @ SY85 )
| ~ ( leq @ SY85 @ SV15 ) )
| ( SV15 = SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(152,plain,
! [SV16: $i] :
( ( ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( leq @ SV16 @ SY86 )
| ~ ( leq @ SY86 @ SY87 ) )
| ( leq @ SV16 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(153,plain,
! [SV17: $i] :
( ( ! [SY88: $i] :
( ~ ( less @ SV17 @ SY88 )
| ( leq @ SV17 @ SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(154,plain,
! [SV18: $i] :
( ( ! [SY89: $i] :
( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV18 )
| ~ ( is_verdict @ SY89 ) )
| ~ ( ( SV18 = conflict )
| ( SY89 = conflict ) ) )
| ( ( box_verdict @ SV18 @ SY89 )
= conflict ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(155,plain,
! [SV19: $i] :
( ( ! [SY90: $i,SY91: $i] :
( ~ ~ ( ~ ( leq @ SV19 @ SY90 )
| ~ ( less @ SY90 @ SY91 ) )
| ( less @ SV19 @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(156,plain,
! [SV20: $i] :
( ( ! [SY92: $i,SY93: $i] :
~ ( ~ ( ~ ( in_closed @ SV20 @ SY92 @ SY93 )
| ~ ( ~ ( leq @ SY92 @ SV20 )
| ~ ( leq @ SV20 @ SY93 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SY92 @ SV20 )
| ~ ( leq @ SV20 @ SY93 ) )
| ( in_closed @ SV20 @ SY92 @ SY93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(157,plain,
( ( ~ ( less @ v800 @ v600 )
| ~ ( less @ v600 @ v800 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(158,plain,
! [SV21: $i] :
( ( ! [SY94: $i,SY95: $i] :
( ~ ~ ( ~ ( less @ SV21 @ SY94 )
| ~ ( leq @ SY94 @ SY95 ) )
| ( less @ SV21 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(159,plain,
! [SV1: $i] :
( ( less @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(160,plain,
! [SV22: $i,SV2: $i] :
( ( ( less @ SV2 @ SV22 )
| ( SV2 = SV22 )
| ( less @ SV22 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(161,plain,
! [SV23: $i,SV3: $i] :
( ( ! [SY96: $i,SY97: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV3 @ SV23 @ SY96 @ SY97 )
| ~ ~ ! [SY98: $i] :
~ ~ ( ~ ( in_closed @ SY98 @ SV3 @ SV23 )
| ~ ( in_closed @ SY98 @ SY96 @ SY97 ) ) )
| ~ ( ~ ~ ~ ! [SY99: $i] :
~ ~ ( ~ ( in_closed @ SY99 @ SV3 @ SV23 )
| ~ ( in_closed @ SY99 @ SY96 @ SY97 ) )
| ( axis_conflict @ SV3 @ SV23 @ SY96 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(162,plain,
! [SV24: $i,SV4: $i] :
( ( ! [SY100: $i,SY101: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV4 @ SV24 @ SY100 @ SY101 )
| ! [SY102: $i] :
( ~ ( in_closed @ SY102 @ SV4 @ SV24 )
| ( in_closed @ SY102 @ SY100 @ SY101 ) ) )
| ~ ( ~ ! [SY103: $i] :
( ~ ( in_closed @ SY103 @ SV4 @ SV24 )
| ( in_closed @ SY103 @ SY100 @ SY101 ) )
| ( axis_subsumes @ SV4 @ SV24 @ SY100 @ SY101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(163,plain,
! [SV25: $i,SV5: $i] :
( ( ! [SY104: $i] :
~ ( ~ ( ~ ( in_lopen @ SV5 @ SV25 @ SY104 )
| ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SY104 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SY104 ) )
| ( in_lopen @ SV5 @ SV25 @ SY104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(164,plain,
! [SV6: $i] :
( ( ( ~ ( is_verdict @ SV6 ) )
= $true )
| ( ( ( SV6 = conflict )
| ( SV6 = compatible )
| ( SV6 = unknown ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(165,plain,
! [SV26: $i,SV7: $i] :
( ( ~ ~ ( ~ ( is_verdict @ SV7 )
| ~ ( is_verdict @ SV26 ) )
| ( ( box_verdict @ SV7 @ SV26 )
= conflict )
| ( ( box_verdict @ SV7 @ SV26 )
= compatible )
| ( ( box_verdict @ SV7 @ SV26 )
= unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(166,plain,
! [SV27: $i,SV8: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) )
| ( SV8 != compatible ) )
| ( SV27 != compatible ) )
| ( ( box_verdict @ SV8 @ SV27 )
= compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(167,plain,
! [SV28: $i,SV9: $i] :
( ( ! [SY105: $i] :
( ~ ~ ( ~ ( less @ SV9 @ SV28 )
| ~ ( less @ SV28 @ SY105 ) )
| ( less @ SV9 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(168,plain,
! [SV29: $i,SV10: $i] :
( ( ! [SY106: $i] :
~ ( ~ ( ~ ( in_ropen @ SV10 @ SV29 @ SY106 )
| ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SY106 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SY106 ) )
| ( in_ropen @ SV10 @ SV29 @ SY106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(169,plain,
! [SV30: $i,SV11: $i] :
( ( ! [SY107: $i,SY108: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV11 @ SV30 @ SY107 @ SY108 )
| ~ ! [SY109: $i] :
~ ~ ( ~ ( in_closed @ SY109 @ SV11 @ SV30 )
| ~ ( in_closed @ SY109 @ SY107 @ SY108 ) ) )
| ~ ( ~ ~ ! [SY110: $i] :
~ ~ ( ~ ( in_closed @ SY110 @ SV11 @ SV30 )
| ~ ( in_closed @ SY110 @ SY107 @ SY108 ) )
| ( axis_compatible @ SV11 @ SV30 @ SY107 @ SY108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(170,plain,
( ( ~ ~ ( ~ ( ( v0 != v600 ) )
| ~ ( ( v0 != v800 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(171,plain,
( ( ~ ( ( v600 != v800 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(172,plain,
! [SV31: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
| ~ ( ( SV12 != conflict ) ) )
| ~ ( ( SV31 != conflict ) ) )
| ( ( box_verdict @ SV12 @ SV31 )
= unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(173,plain,
! [SV32: $i,SV13: $i] :
( ( ! [SY111: $i] :
~ ( ~ ( ~ ( in_open @ SV13 @ SV32 @ SY111 )
| ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SY111 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SY111 ) )
| ( in_open @ SV13 @ SV32 @ SY111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(174,plain,
! [SV33: $i,SV14: $i] :
( ( ~ ( ~ ( ~ ( leq @ SV14 @ SV33 )
| ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
| ~ ( ~ ( ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
| ( leq @ SV14 @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(175,plain,
! [SV34: $i,SV15: $i] :
( ( ~ ~ ( ~ ( leq @ SV15 @ SV34 )
| ~ ( leq @ SV34 @ SV15 ) )
| ( SV15 = SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(176,plain,
! [SV35: $i,SV16: $i] :
( ( ! [SY112: $i] :
( ~ ~ ( ~ ( leq @ SV16 @ SV35 )
| ~ ( leq @ SV35 @ SY112 ) )
| ( leq @ SV16 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(177,plain,
! [SV36: $i,SV17: $i] :
( ( ~ ( less @ SV17 @ SV36 )
| ( leq @ SV17 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(178,plain,
! [SV37: $i,SV18: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV18 )
| ~ ( is_verdict @ SV37 ) )
| ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) )
| ( ( box_verdict @ SV18 @ SV37 )
= conflict ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(179,plain,
! [SV38: $i,SV19: $i] :
( ( ! [SY113: $i] :
( ~ ~ ( ~ ( leq @ SV19 @ SV38 )
| ~ ( less @ SV38 @ SY113 ) )
| ( less @ SV19 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(180,plain,
! [SV39: $i,SV20: $i] :
( ( ! [SY114: $i] :
~ ( ~ ( ~ ( in_closed @ SV20 @ SV39 @ SY114 )
| ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SY114 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SY114 ) )
| ( in_closed @ SV20 @ SV39 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(181,plain,
( ( ~ ( less @ v800 @ v600 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(182,plain,
( ( ~ ( less @ v600 @ v800 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(183,plain,
! [SV40: $i,SV21: $i] :
( ( ! [SY115: $i] :
( ~ ~ ( ~ ( less @ SV21 @ SV40 )
| ~ ( leq @ SV40 @ SY115 ) )
| ( less @ SV21 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(184,plain,
! [SV22: $i,SV2: $i] :
( ( ( ( less @ SV2 @ SV22 )
| ( SV2 = SV22 ) )
= $true )
| ( ( less @ SV22 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(185,plain,
! [SV41: $i,SV23: $i,SV3: $i] :
( ( ! [SY116: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV3 @ SV23 @ SV41 @ SY116 )
| ~ ~ ! [SY117: $i] :
~ ~ ( ~ ( in_closed @ SY117 @ SV3 @ SV23 )
| ~ ( in_closed @ SY117 @ SV41 @ SY116 ) ) )
| ~ ( ~ ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( in_closed @ SY118 @ SV3 @ SV23 )
| ~ ( in_closed @ SY118 @ SV41 @ SY116 ) )
| ( axis_conflict @ SV3 @ SV23 @ SV41 @ SY116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(186,plain,
! [SV42: $i,SV24: $i,SV4: $i] :
( ( ! [SY119: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SY119 )
| ! [SY120: $i] :
( ~ ( in_closed @ SY120 @ SV4 @ SV24 )
| ( in_closed @ SY120 @ SV42 @ SY119 ) ) )
| ~ ( ~ ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV4 @ SV24 )
| ( in_closed @ SY121 @ SV42 @ SY119 ) )
| ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SY119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(187,plain,
! [SV43: $i,SV25: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( in_lopen @ SV5 @ SV25 @ SV43 )
| ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) )
| ( in_lopen @ SV5 @ SV25 @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(188,plain,
! [SV6: $i] :
( ( ( is_verdict @ SV6 )
= $false )
| ( ( ( SV6 = conflict )
| ( SV6 = compatible )
| ( SV6 = unknown ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(189,plain,
! [SV26: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( is_verdict @ SV7 )
| ~ ( is_verdict @ SV26 ) ) )
= $true )
| ( ( ( ( box_verdict @ SV7 @ SV26 )
= conflict )
| ( ( box_verdict @ SV7 @ SV26 )
= compatible )
| ( ( box_verdict @ SV7 @ SV26 )
= unknown ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(190,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) )
| ( SV8 != compatible ) )
| ( SV27 != compatible ) ) )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(191,plain,
! [SV44: $i,SV28: $i,SV9: $i] :
( ( ~ ~ ( ~ ( less @ SV9 @ SV28 )
| ~ ( less @ SV28 @ SV44 ) )
| ( less @ SV9 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(192,plain,
! [SV45: $i,SV29: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( in_ropen @ SV10 @ SV29 @ SV45 )
| ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) )
| ( in_ropen @ SV10 @ SV29 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(193,plain,
! [SV46: $i,SV30: $i,SV11: $i] :
( ( ! [SY122: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV11 @ SV30 @ SV46 @ SY122 )
| ~ ! [SY123: $i] :
~ ~ ( ~ ( in_closed @ SY123 @ SV11 @ SV30 )
| ~ ( in_closed @ SY123 @ SV46 @ SY122 ) ) )
| ~ ( ~ ~ ! [SY124: $i] :
~ ~ ( ~ ( in_closed @ SY124 @ SV11 @ SV30 )
| ~ ( in_closed @ SY124 @ SV46 @ SY122 ) )
| ( axis_compatible @ SV11 @ SV30 @ SV46 @ SY122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(194,plain,
( ( ~ ( ~ ( ( v0 != v600 ) )
| ~ ( ( v0 != v800 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(195,plain,
( ( v600 != v800 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(196,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
| ~ ( ( SV12 != conflict ) ) )
| ~ ( ( SV31 != conflict ) ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(197,plain,
! [SV47: $i,SV32: $i,SV13: $i] :
( ( ~ ( ~ ( ~ ( in_open @ SV13 @ SV32 @ SV47 )
| ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) )
| ( in_open @ SV13 @ SV32 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(198,plain,
! [SV33: $i,SV14: $i] :
( ( ~ ( ~ ( leq @ SV14 @ SV33 )
| ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
| ~ ( ~ ( ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
| ( leq @ SV14 @ SV33 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(199,plain,
! [SV34: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV15 @ SV34 )
| ~ ( leq @ SV34 @ SV15 ) ) )
= $true )
| ( ( SV15 = SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(200,plain,
! [SV48: $i,SV35: $i,SV16: $i] :
( ( ~ ~ ( ~ ( leq @ SV16 @ SV35 )
| ~ ( leq @ SV35 @ SV48 ) )
| ( leq @ SV16 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(201,plain,
! [SV36: $i,SV17: $i] :
( ( ( ~ ( less @ SV17 @ SV36 ) )
= $true )
| ( ( leq @ SV17 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(202,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV18 )
| ~ ( is_verdict @ SV37 ) )
| ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) ) )
= $true )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(203,plain,
! [SV49: $i,SV38: $i,SV19: $i] :
( ( ~ ~ ( ~ ( leq @ SV19 @ SV38 )
| ~ ( less @ SV38 @ SV49 ) )
| ( less @ SV19 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(204,plain,
! [SV50: $i,SV39: $i,SV20: $i] :
( ( ~ ( ~ ( ~ ( in_closed @ SV20 @ SV39 @ SV50 )
| ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) )
| ( in_closed @ SV20 @ SV39 @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(205,plain,
( ( less @ v800 @ v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(206,plain,
( ( less @ v600 @ v800 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(207,plain,
! [SV51: $i,SV40: $i,SV21: $i] :
( ( ~ ~ ( ~ ( less @ SV21 @ SV40 )
| ~ ( leq @ SV40 @ SV51 ) )
| ( less @ SV21 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(208,plain,
! [SV22: $i,SV2: $i] :
( ( ( less @ SV2 @ SV22 )
= $true )
| ( ( SV2 = SV22 )
= $true )
| ( ( less @ SV22 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(209,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
| ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV3 @ SV23 )
| ~ ( in_closed @ SY125 @ SV41 @ SV52 ) ) )
| ~ ( ~ ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV3 @ SV23 )
| ~ ( in_closed @ SY126 @ SV41 @ SV52 ) )
| ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(210,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
| ! [SY127: $i] :
( ~ ( in_closed @ SY127 @ SV4 @ SV24 )
| ( in_closed @ SY127 @ SV42 @ SV53 ) ) )
| ~ ( ~ ! [SY128: $i] :
( ~ ( in_closed @ SY128 @ SV4 @ SV24 )
| ( in_closed @ SY128 @ SV42 @ SV53 ) )
| ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(211,plain,
! [SV43: $i,SV25: $i,SV5: $i] :
( ( ~ ( ~ ( in_lopen @ SV5 @ SV25 @ SV43 )
| ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) )
| ( in_lopen @ SV5 @ SV25 @ SV43 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(212,plain,
! [SV6: $i] :
( ( ( ( SV6 = conflict )
| ( SV6 = compatible ) )
= $true )
| ( ( SV6 = unknown )
= $true )
| ( ( is_verdict @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(213,plain,
! [SV26: $i,SV7: $i] :
( ( ( ~ ( ~ ( is_verdict @ SV7 )
| ~ ( is_verdict @ SV26 ) ) )
= $false )
| ( ( ( ( box_verdict @ SV7 @ SV26 )
= conflict )
| ( ( box_verdict @ SV7 @ SV26 )
= compatible )
| ( ( box_verdict @ SV7 @ SV26 )
= unknown ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(214,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) )
| ( SV8 != compatible ) )
| ( SV27 != compatible ) ) )
= $false )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(215,plain,
! [SV44: $i,SV28: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( less @ SV9 @ SV28 )
| ~ ( less @ SV28 @ SV44 ) ) )
= $true )
| ( ( less @ SV9 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(216,plain,
! [SV45: $i,SV29: $i,SV10: $i] :
( ( ~ ( ~ ( in_ropen @ SV10 @ SV29 @ SV45 )
| ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) )
| ( in_ropen @ SV10 @ SV29 @ SV45 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(217,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ~ ( ~ ( ~ ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
| ~ ! [SY129: $i] :
~ ~ ( ~ ( in_closed @ SY129 @ SV11 @ SV30 )
| ~ ( in_closed @ SY129 @ SV46 @ SV54 ) ) )
| ~ ( ~ ~ ! [SY130: $i] :
~ ~ ( ~ ( in_closed @ SY130 @ SV11 @ SV30 )
| ~ ( in_closed @ SY130 @ SV46 @ SV54 ) )
| ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(218,plain,
( ( ~ ( ( v0 != v600 ) )
| ~ ( ( v0 != v800 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(219,plain,
( ( v600 = v800 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(220,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
| ~ ( ( SV12 != conflict ) ) )
| ~ ( ( SV31 != conflict ) ) ) )
= $false )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(221,plain,
! [SV47: $i,SV32: $i,SV13: $i] :
( ( ~ ( ~ ( in_open @ SV13 @ SV32 @ SV47 )
| ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) )
| ( in_open @ SV13 @ SV32 @ SV47 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(222,plain,
! [SV33: $i,SV14: $i] :
( ( ~ ( ~ ( leq @ SV14 @ SV33 )
| ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(223,plain,
! [SV33: $i,SV14: $i] :
( ( ~ ( ~ ( ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
| ( leq @ SV14 @ SV33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(224,plain,
! [SV34: $i,SV15: $i] :
( ( ( ~ ( ~ ( leq @ SV15 @ SV34 )
| ~ ( leq @ SV34 @ SV15 ) ) )
= $false )
| ( ( SV15 = SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(225,plain,
! [SV48: $i,SV35: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV16 @ SV35 )
| ~ ( leq @ SV35 @ SV48 ) ) )
= $true )
| ( ( leq @ SV16 @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(226,plain,
! [SV36: $i,SV17: $i] :
( ( ( less @ SV17 @ SV36 )
= $false )
| ( ( leq @ SV17 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(227,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ( ~ ~ ( ~ ( is_verdict @ SV18 )
| ~ ( is_verdict @ SV37 ) )
| ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) ) )
= $false )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(228,plain,
! [SV49: $i,SV38: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV19 @ SV38 )
| ~ ( less @ SV38 @ SV49 ) ) )
= $true )
| ( ( less @ SV19 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(229,plain,
! [SV50: $i,SV39: $i,SV20: $i] :
( ( ~ ( ~ ( in_closed @ SV20 @ SV39 @ SV50 )
| ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) )
| ( in_closed @ SV20 @ SV39 @ SV50 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(230,plain,
! [SV51: $i,SV40: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( less @ SV21 @ SV40 )
| ~ ( leq @ SV40 @ SV51 ) ) )
= $true )
| ( ( less @ SV21 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(231,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ~ ( ~ ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
| ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV3 @ SV23 )
| ~ ( in_closed @ SY125 @ SV41 @ SV52 ) ) )
| ~ ( ~ ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV3 @ SV23 )
| ~ ( in_closed @ SY126 @ SV41 @ SV52 ) )
| ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(232,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ~ ( ~ ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
| ! [SY127: $i] :
( ~ ( in_closed @ SY127 @ SV4 @ SV24 )
| ( in_closed @ SY127 @ SV42 @ SV53 ) ) )
| ~ ( ~ ! [SY128: $i] :
( ~ ( in_closed @ SY128 @ SV4 @ SV24 )
| ( in_closed @ SY128 @ SV42 @ SV53 ) )
| ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(233,plain,
! [SV43: $i,SV25: $i,SV5: $i] :
( ( ~ ( ~ ( in_lopen @ SV5 @ SV25 @ SV43 )
| ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(234,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ~ ( ~ ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) )
| ( in_lopen @ SV5 @ SV25 @ SV43 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(235,plain,
! [SV6: $i] :
( ( ( SV6 = conflict )
= $true )
| ( ( SV6 = compatible )
= $true )
| ( ( SV6 = unknown )
= $true )
| ( ( is_verdict @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(236,plain,
! [SV26: $i,SV7: $i] :
( ( ( ~ ( is_verdict @ SV7 )
| ~ ( is_verdict @ SV26 ) )
= $true )
| ( ( ( ( box_verdict @ SV7 @ SV26 )
= conflict )
| ( ( box_verdict @ SV7 @ SV26 )
= compatible )
| ( ( box_verdict @ SV7 @ SV26 )
= unknown ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(237,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) )
| ( SV8 != compatible ) )
| ( SV27 != compatible ) )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(238,plain,
! [SV44: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( ~ ( less @ SV9 @ SV28 )
| ~ ( less @ SV28 @ SV44 ) ) )
= $false )
| ( ( less @ SV9 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(239,plain,
! [SV45: $i,SV29: $i,SV10: $i] :
( ( ~ ( ~ ( in_ropen @ SV10 @ SV29 @ SV45 )
| ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(240,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) )
| ( in_ropen @ SV10 @ SV29 @ SV45 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(241,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ~ ( ~ ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
| ~ ! [SY129: $i] :
~ ~ ( ~ ( in_closed @ SY129 @ SV11 @ SV30 )
| ~ ( in_closed @ SY129 @ SV46 @ SV54 ) ) )
| ~ ( ~ ~ ! [SY130: $i] :
~ ~ ( ~ ( in_closed @ SY130 @ SV11 @ SV30 )
| ~ ( in_closed @ SY130 @ SV46 @ SV54 ) )
| ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(242,plain,
( ( ~ ( ( v0 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(243,plain,
( ( ~ ( ( v0 != v800 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(244,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
| ~ ( ( SV12 != conflict ) ) )
| ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(245,plain,
! [SV47: $i,SV32: $i,SV13: $i] :
( ( ~ ( ~ ( in_open @ SV13 @ SV32 @ SV47 )
| ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(246,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ~ ( ~ ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) )
| ( in_open @ SV13 @ SV32 @ SV47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(247,plain,
! [SV33: $i,SV14: $i] :
( ( ~ ( leq @ SV14 @ SV33 )
| ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(248,plain,
! [SV33: $i,SV14: $i] :
( ( ~ ( ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
| ( leq @ SV14 @ SV33 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(249,plain,
! [SV34: $i,SV15: $i] :
( ( ( ~ ( leq @ SV15 @ SV34 )
| ~ ( leq @ SV34 @ SV15 ) )
= $true )
| ( ( SV15 = SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(250,plain,
! [SV48: $i,SV35: $i,SV16: $i] :
( ( ( ~ ( ~ ( leq @ SV16 @ SV35 )
| ~ ( leq @ SV35 @ SV48 ) ) )
= $false )
| ( ( leq @ SV16 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(251,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( is_verdict @ SV18 )
| ~ ( is_verdict @ SV37 ) )
| ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(252,plain,
! [SV49: $i,SV38: $i,SV19: $i] :
( ( ( ~ ( ~ ( leq @ SV19 @ SV38 )
| ~ ( less @ SV38 @ SV49 ) ) )
= $false )
| ( ( less @ SV19 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(253,plain,
! [SV50: $i,SV39: $i,SV20: $i] :
( ( ~ ( ~ ( in_closed @ SV20 @ SV39 @ SV50 )
| ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(254,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) )
| ( in_closed @ SV20 @ SV39 @ SV50 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(255,plain,
! [SV51: $i,SV40: $i,SV21: $i] :
( ( ( ~ ( ~ ( less @ SV21 @ SV40 )
| ~ ( leq @ SV40 @ SV51 ) ) )
= $false )
| ( ( less @ SV21 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(256,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ~ ( ~ ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
| ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV3 @ SV23 )
| ~ ( in_closed @ SY125 @ SV41 @ SV52 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(257,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ~ ( ~ ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV3 @ SV23 )
| ~ ( in_closed @ SY126 @ SV41 @ SV52 ) )
| ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(258,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ~ ( ~ ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
| ! [SY127: $i] :
( ~ ( in_closed @ SY127 @ SV4 @ SV24 )
| ( in_closed @ SY127 @ SV42 @ SV53 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(259,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ~ ( ~ ! [SY128: $i] :
( ~ ( in_closed @ SY128 @ SV4 @ SV24 )
| ( in_closed @ SY128 @ SV42 @ SV53 ) )
| ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(260,plain,
! [SV43: $i,SV25: $i,SV5: $i] :
( ( ~ ( in_lopen @ SV5 @ SV25 @ SV43 )
| ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(261,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ~ ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) )
| ( in_lopen @ SV5 @ SV25 @ SV43 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(262,plain,
! [SV26: $i,SV7: $i] :
( ( ( ~ ( is_verdict @ SV7 ) )
= $true )
| ( ( ~ ( is_verdict @ SV26 ) )
= $true )
| ( ( ( ( box_verdict @ SV7 @ SV26 )
= conflict )
| ( ( box_verdict @ SV7 @ SV26 )
= compatible )
| ( ( box_verdict @ SV7 @ SV26 )
= unknown ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(263,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) )
| ( SV8 != compatible ) ) )
= $true )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(264,plain,
! [SV44: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( less @ SV9 @ SV28 )
| ~ ( less @ SV28 @ SV44 ) )
= $true )
| ( ( less @ SV9 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(265,plain,
! [SV45: $i,SV29: $i,SV10: $i] :
( ( ~ ( in_ropen @ SV10 @ SV29 @ SV45 )
| ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(266,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ~ ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) )
| ( in_ropen @ SV10 @ SV29 @ SV45 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(267,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ~ ( ~ ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
| ~ ! [SY129: $i] :
~ ~ ( ~ ( in_closed @ SY129 @ SV11 @ SV30 )
| ~ ( in_closed @ SY129 @ SV46 @ SV54 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(268,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ~ ( ~ ~ ! [SY130: $i] :
~ ~ ( ~ ( in_closed @ SY130 @ SV11 @ SV30 )
| ~ ( in_closed @ SY130 @ SV46 @ SV54 ) )
| ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(269,plain,
( ( v0 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(270,plain,
( ( v0 != v800 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(271,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
| ~ ( ( SV12 != conflict ) ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(272,plain,
! [SV47: $i,SV32: $i,SV13: $i] :
( ( ~ ( in_open @ SV13 @ SV32 @ SV47 )
| ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(273,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ~ ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) )
| ( in_open @ SV13 @ SV32 @ SV47 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(274,plain,
! [SV33: $i,SV14: $i] :
( ( ( ~ ( leq @ SV14 @ SV33 ) )
= $true )
| ( ( ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(275,plain,
! [SV33: $i,SV14: $i] :
( ( ( ~ ( ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) ) )
= $true )
| ( ( leq @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(276,plain,
! [SV34: $i,SV15: $i] :
( ( ( ~ ( leq @ SV15 @ SV34 ) )
= $true )
| ( ( ~ ( leq @ SV34 @ SV15 ) )
= $true )
| ( ( SV15 = SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(277,plain,
! [SV48: $i,SV35: $i,SV16: $i] :
( ( ( ~ ( leq @ SV16 @ SV35 )
| ~ ( leq @ SV35 @ SV48 ) )
= $true )
| ( ( leq @ SV16 @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(278,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( is_verdict @ SV18 )
| ~ ( is_verdict @ SV37 ) ) )
= $true )
| ( ( ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(279,plain,
! [SV49: $i,SV38: $i,SV19: $i] :
( ( ( ~ ( leq @ SV19 @ SV38 )
| ~ ( less @ SV38 @ SV49 ) )
= $true )
| ( ( less @ SV19 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(280,plain,
! [SV50: $i,SV39: $i,SV20: $i] :
( ( ~ ( in_closed @ SV20 @ SV39 @ SV50 )
| ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(281,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ~ ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) )
| ( in_closed @ SV20 @ SV39 @ SV50 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(282,plain,
! [SV51: $i,SV40: $i,SV21: $i] :
( ( ( ~ ( less @ SV21 @ SV40 )
| ~ ( leq @ SV40 @ SV51 ) )
= $true )
| ( ( less @ SV21 @ SV51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(283,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ~ ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
| ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV3 @ SV23 )
| ~ ( in_closed @ SY125 @ SV41 @ SV52 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(284,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ~ ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV3 @ SV23 )
| ~ ( in_closed @ SY126 @ SV41 @ SV52 ) )
| ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(285,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ~ ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
| ! [SY127: $i] :
( ~ ( in_closed @ SY127 @ SV4 @ SV24 )
| ( in_closed @ SY127 @ SV42 @ SV53 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(286,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ~ ! [SY128: $i] :
( ~ ( in_closed @ SY128 @ SV4 @ SV24 )
| ( in_closed @ SY128 @ SV42 @ SV53 ) )
| ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(287,plain,
! [SV43: $i,SV25: $i,SV5: $i] :
( ( ( ~ ( in_lopen @ SV5 @ SV25 @ SV43 ) )
= $true )
| ( ( ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(288,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) ) )
= $true )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(289,plain,
! [SV26: $i,SV7: $i] :
( ( ( is_verdict @ SV7 )
= $false )
| ( ( ~ ( is_verdict @ SV26 ) )
= $true )
| ( ( ( ( box_verdict @ SV7 @ SV26 )
= conflict )
| ( ( box_verdict @ SV7 @ SV26 )
= compatible )
| ( ( box_verdict @ SV7 @ SV26 )
= unknown ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(290,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) )
| ( SV8 != compatible ) ) )
= $false )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(291,plain,
! [SV44: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( less @ SV9 @ SV28 ) )
= $true )
| ( ( ~ ( less @ SV28 @ SV44 ) )
= $true )
| ( ( less @ SV9 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(292,plain,
! [SV45: $i,SV29: $i,SV10: $i] :
( ( ( ~ ( in_ropen @ SV10 @ SV29 @ SV45 ) )
= $true )
| ( ( ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(293,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) ) )
= $true )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(294,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ~ ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
| ~ ! [SY129: $i] :
~ ~ ( ~ ( in_closed @ SY129 @ SV11 @ SV30 )
| ~ ( in_closed @ SY129 @ SV46 @ SV54 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(295,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ~ ~ ! [SY130: $i] :
~ ~ ( ~ ( in_closed @ SY130 @ SV11 @ SV30 )
| ~ ( in_closed @ SY130 @ SV46 @ SV54 ) )
| ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(296,plain,
( ( v0 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(297,plain,
( ( v0 = v800 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(298,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
| ~ ( ( SV12 != conflict ) ) ) )
= $false )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(299,plain,
! [SV47: $i,SV32: $i,SV13: $i] :
( ( ( ~ ( in_open @ SV13 @ SV32 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(300,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) ) )
= $true )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(301,plain,
! [SV33: $i,SV14: $i] :
( ( ( leq @ SV14 @ SV33 )
= $false )
| ( ( ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(302,plain,
! [SV33: $i,SV14: $i] :
( ( ( ( less @ SV14 @ SV33 )
| ( SV14 = SV33 ) )
= $false )
| ( ( leq @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(303,plain,
! [SV34: $i,SV15: $i] :
( ( ( leq @ SV15 @ SV34 )
= $false )
| ( ( ~ ( leq @ SV34 @ SV15 ) )
= $true )
| ( ( SV15 = SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(304,plain,
! [SV48: $i,SV35: $i,SV16: $i] :
( ( ( ~ ( leq @ SV16 @ SV35 ) )
= $true )
| ( ( ~ ( leq @ SV35 @ SV48 ) )
= $true )
| ( ( leq @ SV16 @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(305,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ( ~ ( is_verdict @ SV18 )
| ~ ( is_verdict @ SV37 ) ) )
= $false )
| ( ( ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(306,plain,
! [SV49: $i,SV38: $i,SV19: $i] :
( ( ( ~ ( leq @ SV19 @ SV38 ) )
= $true )
| ( ( ~ ( less @ SV38 @ SV49 ) )
= $true )
| ( ( less @ SV19 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(307,plain,
! [SV50: $i,SV39: $i,SV20: $i] :
( ( ( ~ ( in_closed @ SV20 @ SV39 @ SV50 ) )
= $true )
| ( ( ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(308,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) ) )
= $true )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(309,plain,
! [SV51: $i,SV40: $i,SV21: $i] :
( ( ( ~ ( less @ SV21 @ SV40 ) )
= $true )
| ( ( ~ ( leq @ SV40 @ SV51 ) )
= $true )
| ( ( less @ SV21 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(310,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ( ~ ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 ) )
= $true )
| ( ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV3 @ SV23 )
| ~ ( in_closed @ SY125 @ SV41 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(311,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ( ~ ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV3 @ SV23 )
| ~ ( in_closed @ SY126 @ SV41 @ SV52 ) ) )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(312,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ( ~ ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 ) )
= $true )
| ( ( ! [SY127: $i] :
( ~ ( in_closed @ SY127 @ SV4 @ SV24 )
| ( in_closed @ SY127 @ SV42 @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(313,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ( ~ ! [SY128: $i] :
( ~ ( in_closed @ SY128 @ SV4 @ SV24 )
| ( in_closed @ SY128 @ SV42 @ SV53 ) ) )
= $true )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(314,plain,
! [SV43: $i,SV25: $i,SV5: $i] :
( ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $false )
| ( ( ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(315,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ( ~ ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) ) )
= $false )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(316,plain,
! [SV7: $i,SV26: $i] :
( ( ( is_verdict @ SV26 )
= $false )
| ( ( is_verdict @ SV7 )
= $false )
| ( ( ( ( box_verdict @ SV7 @ SV26 )
= conflict )
| ( ( box_verdict @ SV7 @ SV26 )
= compatible )
| ( ( box_verdict @ SV7 @ SV26 )
= unknown ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(317,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) )
| ( SV8 != compatible ) )
= $true )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(318,plain,
! [SV44: $i,SV28: $i,SV9: $i] :
( ( ( less @ SV9 @ SV28 )
= $false )
| ( ( ~ ( less @ SV28 @ SV44 ) )
= $true )
| ( ( less @ SV9 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(319,plain,
! [SV45: $i,SV29: $i,SV10: $i] :
( ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $false )
| ( ( ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(320,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) ) )
= $false )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(321,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ( ~ ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( in_closed @ SY129 @ SV11 @ SV30 )
| ~ ( in_closed @ SY129 @ SV46 @ SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(322,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ( ~ ~ ! [SY130: $i] :
~ ~ ( ~ ( in_closed @ SY130 @ SV11 @ SV30 )
| ~ ( in_closed @ SY130 @ SV46 @ SV54 ) ) )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(323,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
| ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(324,plain,
! [SV47: $i,SV32: $i,SV13: $i] :
( ( ( in_open @ SV13 @ SV32 @ SV47 )
= $false )
| ( ( ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(325,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ( ~ ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) ) )
= $false )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(326,plain,
! [SV33: $i,SV14: $i] :
( ( ( less @ SV14 @ SV33 )
= $true )
| ( ( SV14 = SV33 )
= $true )
| ( ( leq @ SV14 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(327,plain,
! [SV33: $i,SV14: $i] :
( ( ( less @ SV14 @ SV33 )
= $false )
| ( ( leq @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(328,plain,
! [SV33: $i,SV14: $i] :
( ( ( SV14 = SV33 )
= $false )
| ( ( leq @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(329,plain,
! [SV15: $i,SV34: $i] :
( ( ( leq @ SV34 @ SV15 )
= $false )
| ( ( leq @ SV15 @ SV34 )
= $false )
| ( ( SV15 = SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(330,plain,
! [SV48: $i,SV35: $i,SV16: $i] :
( ( ( leq @ SV16 @ SV35 )
= $false )
| ( ( ~ ( leq @ SV35 @ SV48 ) )
= $true )
| ( ( leq @ SV16 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(331,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ( is_verdict @ SV18 )
| ~ ( is_verdict @ SV37 ) )
= $true )
| ( ( ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(332,plain,
! [SV49: $i,SV38: $i,SV19: $i] :
( ( ( leq @ SV19 @ SV38 )
= $false )
| ( ( ~ ( less @ SV38 @ SV49 ) )
= $true )
| ( ( less @ SV19 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(333,plain,
! [SV50: $i,SV39: $i,SV20: $i] :
( ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $false )
| ( ( ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(334,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ( ~ ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) ) )
= $false )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(335,plain,
! [SV51: $i,SV40: $i,SV21: $i] :
( ( ( less @ SV21 @ SV40 )
= $false )
| ( ( ~ ( leq @ SV40 @ SV51 ) )
= $true )
| ( ( less @ SV21 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(336,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false )
| ( ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV3 @ SV23 )
| ~ ( in_closed @ SY125 @ SV41 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(337,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ( ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV3 @ SV23 )
| ~ ( in_closed @ SY126 @ SV41 @ SV52 ) ) )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(338,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $false )
| ( ( ! [SY127: $i] :
( ~ ( in_closed @ SY127 @ SV4 @ SV24 )
| ( in_closed @ SY127 @ SV42 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(339,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i] :
( ( ( ! [SY128: $i] :
( ~ ( in_closed @ SY128 @ SV4 @ SV24 )
| ( in_closed @ SY128 @ SV42 @ SV53 ) ) )
= $false )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(340,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) )
= $false )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(341,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV5 )
| ~ ( leq @ SV5 @ SV43 ) )
= $true )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(342,plain,
! [SV26: $i,SV7: $i] :
( ( ( ( ( box_verdict @ SV7 @ SV26 )
= conflict )
| ( ( box_verdict @ SV7 @ SV26 )
= compatible ) )
= $true )
| ( ( ( box_verdict @ SV7 @ SV26 )
= unknown )
= $true )
| ( ( is_verdict @ SV7 )
= $false )
| ( ( is_verdict @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(343,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) ) )
= $true )
| ( ( SV8 != compatible )
= $true )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(344,plain,
! [SV9: $i,SV44: $i,SV28: $i] :
( ( ( less @ SV28 @ SV44 )
= $false )
| ( ( less @ SV9 @ SV28 )
= $false )
| ( ( less @ SV9 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(345,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) )
= $false )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(346,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( leq @ SV29 @ SV10 )
| ~ ( less @ SV10 @ SV45 ) )
= $true )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(347,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( in_closed @ SY129 @ SV11 @ SV30 )
| ~ ( in_closed @ SY129 @ SV46 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(348,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ( ~ ! [SY130: $i] :
~ ~ ( ~ ( in_closed @ SY130 @ SV11 @ SV30 )
| ~ ( in_closed @ SY130 @ SV46 @ SV54 ) ) )
= $false )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(349,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) ) )
= $true )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(350,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) )
= $false )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(351,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ( ~ ( less @ SV32 @ SV13 )
| ~ ( less @ SV13 @ SV47 ) )
= $true )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(352,plain,
! [SV16: $i,SV48: $i,SV35: $i] :
( ( ( leq @ SV35 @ SV48 )
= $false )
| ( ( leq @ SV16 @ SV35 )
= $false )
| ( ( leq @ SV16 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(353,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ( is_verdict @ SV18 ) )
= $true )
| ( ( ~ ( is_verdict @ SV37 ) )
= $true )
| ( ( ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(354,plain,
! [SV19: $i,SV49: $i,SV38: $i] :
( ( ( less @ SV38 @ SV49 )
= $false )
| ( ( leq @ SV19 @ SV38 )
= $false )
| ( ( less @ SV19 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(355,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) )
= $false )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(356,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ( ~ ( leq @ SV39 @ SV20 )
| ~ ( leq @ SV20 @ SV50 ) )
= $true )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(357,plain,
! [SV21: $i,SV51: $i,SV40: $i] :
( ( ( leq @ SV40 @ SV51 )
= $false )
| ( ( less @ SV21 @ SV40 )
= $false )
| ( ( less @ SV21 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(358,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ( ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV3 @ SV23 )
| ~ ( in_closed @ SY125 @ SV41 @ SV52 ) ) )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(359,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ( ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV3 @ SV23 )
| ~ ( in_closed @ SY126 @ SV41 @ SV52 ) ) )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(360,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i,SV55: $i] :
( ( ( ~ ( in_closed @ SV55 @ SV4 @ SV24 )
| ( in_closed @ SV55 @ SV42 @ SV53 ) )
= $true )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(361,plain,
! [SV4: $i,SV24: $i,SV42: $i,SV53: $i] :
( ( ( ~ ( in_closed @ ( sK1_SY128 @ SV53 @ SV42 @ SV24 @ SV4 ) @ SV4 @ SV24 )
| ( in_closed @ ( sK1_SY128 @ SV53 @ SV42 @ SV24 @ SV4 ) @ SV42 @ SV53 ) )
= $false )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[339]) ).
thf(362,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV5 ) )
= $false )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(363,plain,
! [SV25: $i,SV43: $i,SV5: $i] :
( ( ( ~ ( leq @ SV5 @ SV43 ) )
= $false )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(364,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV5 ) )
= $true )
| ( ( ~ ( leq @ SV5 @ SV43 ) )
= $true )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(365,plain,
! [SV26: $i,SV7: $i] :
( ( ( ( box_verdict @ SV7 @ SV26 )
= conflict )
= $true )
| ( ( ( box_verdict @ SV7 @ SV26 )
= compatible )
= $true )
| ( ( ( box_verdict @ SV7 @ SV26 )
= unknown )
= $true )
| ( ( is_verdict @ SV7 )
= $false )
| ( ( is_verdict @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(366,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) ) )
= $false )
| ( ( SV8 != compatible )
= $true )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(367,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( leq @ SV29 @ SV10 ) )
= $false )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(368,plain,
! [SV29: $i,SV45: $i,SV10: $i] :
( ( ( ~ ( less @ SV10 @ SV45 ) )
= $false )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(369,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( leq @ SV29 @ SV10 ) )
= $true )
| ( ( ~ ( less @ SV10 @ SV45 ) )
= $true )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(370,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ( ! [SY129: $i] :
~ ~ ( ~ ( in_closed @ SY129 @ SV11 @ SV30 )
| ~ ( in_closed @ SY129 @ SV46 @ SV54 ) ) )
= $false )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(371,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i] :
( ( ( ! [SY130: $i] :
~ ~ ( ~ ( in_closed @ SY130 @ SV11 @ SV30 )
| ~ ( in_closed @ SY130 @ SV46 @ SV54 ) ) )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(372,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) ) )
= $false )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(373,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ( ~ ( less @ SV32 @ SV13 ) )
= $false )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(374,plain,
! [SV32: $i,SV47: $i,SV13: $i] :
( ( ( ~ ( less @ SV13 @ SV47 ) )
= $false )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(375,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ( ~ ( less @ SV32 @ SV13 ) )
= $true )
| ( ( ~ ( less @ SV13 @ SV47 ) )
= $true )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(376,plain,
! [SV37: $i,SV18: $i] :
( ( ( is_verdict @ SV18 )
= $false )
| ( ( ~ ( is_verdict @ SV37 ) )
= $true )
| ( ( ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(377,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ( ~ ( leq @ SV39 @ SV20 ) )
= $false )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(378,plain,
! [SV39: $i,SV50: $i,SV20: $i] :
( ( ( ~ ( leq @ SV20 @ SV50 ) )
= $false )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(379,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ( ~ ( leq @ SV39 @ SV20 ) )
= $true )
| ( ( ~ ( leq @ SV20 @ SV50 ) )
= $true )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(380,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ( ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV3 @ SV23 )
| ~ ( in_closed @ SY125 @ SV41 @ SV52 ) ) )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(381,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i] :
( ( ( ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV3 @ SV23 )
| ~ ( in_closed @ SY126 @ SV41 @ SV52 ) ) )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(382,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i,SV55: $i] :
( ( ( ~ ( in_closed @ SV55 @ SV4 @ SV24 ) )
= $true )
| ( ( in_closed @ SV55 @ SV42 @ SV53 )
= $true )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(383,plain,
! [SV4: $i,SV24: $i,SV42: $i,SV53: $i] :
( ( ( ~ ( in_closed @ ( sK1_SY128 @ SV53 @ SV42 @ SV24 @ SV4 ) @ SV4 @ SV24 ) )
= $false )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(384,plain,
! [SV4: $i,SV24: $i,SV42: $i,SV53: $i] :
( ( ( in_closed @ ( sK1_SY128 @ SV53 @ SV42 @ SV24 @ SV4 ) @ SV42 @ SV53 )
= $false )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(385,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ( less @ SV25 @ SV5 )
= $true )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(386,plain,
! [SV25: $i,SV43: $i,SV5: $i] :
( ( ( leq @ SV5 @ SV43 )
= $true )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(387,plain,
! [SV43: $i,SV5: $i,SV25: $i] :
( ( ( less @ SV25 @ SV5 )
= $false )
| ( ( ~ ( leq @ SV5 @ SV43 ) )
= $true )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(388,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ( is_verdict @ SV8 )
| ~ ( is_verdict @ SV27 ) )
= $true )
| ( ( SV8 != compatible )
= $true )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(389,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ( leq @ SV29 @ SV10 )
= $true )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(390,plain,
! [SV29: $i,SV45: $i,SV10: $i] :
( ( ( less @ SV10 @ SV45 )
= $true )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(391,plain,
! [SV45: $i,SV10: $i,SV29: $i] :
( ( ( leq @ SV29 @ SV10 )
= $false )
| ( ( ~ ( less @ SV10 @ SV45 ) )
= $true )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(392,plain,
! [SV11: $i,SV30: $i,SV46: $i,SV54: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV11 @ SV30 )
| ~ ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV46 @ SV54 ) ) )
= $false )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[370]) ).
thf(393,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV56 @ SV11 @ SV30 )
| ~ ( in_closed @ SV56 @ SV46 @ SV54 ) ) )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(394,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
| ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
= $true )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(395,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ( less @ SV32 @ SV13 )
= $true )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(396,plain,
! [SV32: $i,SV47: $i,SV13: $i] :
( ( ( less @ SV13 @ SV47 )
= $true )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(397,plain,
! [SV47: $i,SV13: $i,SV32: $i] :
( ( ( less @ SV32 @ SV13 )
= $false )
| ( ( ~ ( less @ SV13 @ SV47 ) )
= $true )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(398,plain,
! [SV18: $i,SV37: $i] :
( ( ( is_verdict @ SV37 )
= $false )
| ( ( is_verdict @ SV18 )
= $false )
| ( ( ~ ( ( SV18 = conflict )
| ( SV37 = conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(399,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ( leq @ SV39 @ SV20 )
= $true )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(400,plain,
! [SV39: $i,SV50: $i,SV20: $i] :
( ( ( leq @ SV20 @ SV50 )
= $true )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(401,plain,
! [SV50: $i,SV20: $i,SV39: $i] :
( ( ( leq @ SV39 @ SV20 )
= $false )
| ( ( ~ ( leq @ SV20 @ SV50 ) )
= $true )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(402,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i,SV57: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV57 @ SV3 @ SV23 )
| ~ ( in_closed @ SV57 @ SV41 @ SV52 ) ) )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(403,plain,
! [SV3: $i,SV23: $i,SV41: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV3 @ SV23 )
| ~ ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV41 @ SV52 ) ) )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[381]) ).
thf(404,plain,
! [SV53: $i,SV42: $i,SV24: $i,SV4: $i,SV55: $i] :
( ( ( in_closed @ SV55 @ SV4 @ SV24 )
= $false )
| ( ( in_closed @ SV55 @ SV42 @ SV53 )
= $true )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(405,plain,
! [SV4: $i,SV24: $i,SV42: $i,SV53: $i] :
( ( ( in_closed @ ( sK1_SY128 @ SV53 @ SV42 @ SV24 @ SV4 ) @ SV4 @ SV24 )
= $true )
| ( ( axis_subsumes @ SV4 @ SV24 @ SV42 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(406,plain,
! [SV25: $i,SV43: $i,SV5: $i] :
( ( ( leq @ SV5 @ SV43 )
= $false )
| ( ( less @ SV25 @ SV5 )
= $false )
| ( ( in_lopen @ SV5 @ SV25 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(407,plain,
! [SV27: $i,SV8: $i] :
( ( ( ~ ( is_verdict @ SV8 ) )
= $true )
| ( ( ~ ( is_verdict @ SV27 ) )
= $true )
| ( ( SV8 != compatible )
= $true )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(408,plain,
! [SV29: $i,SV45: $i,SV10: $i] :
( ( ( less @ SV10 @ SV45 )
= $false )
| ( ( leq @ SV29 @ SV10 )
= $false )
| ( ( in_ropen @ SV10 @ SV29 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(409,plain,
! [SV11: $i,SV30: $i,SV46: $i,SV54: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV11 @ SV30 )
| ~ ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV46 @ SV54 ) ) )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(410,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i,SV56: $i] :
( ( ( ~ ( ~ ( in_closed @ SV56 @ SV11 @ SV30 )
| ~ ( in_closed @ SV56 @ SV46 @ SV54 ) ) )
= $false )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(411,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) ) )
= $true )
| ( ( ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
= $true )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(412,plain,
! [SV32: $i,SV47: $i,SV13: $i] :
( ( ( less @ SV13 @ SV47 )
= $false )
| ( ( less @ SV32 @ SV13 )
= $false )
| ( ( in_open @ SV13 @ SV32 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(413,plain,
! [SV37: $i,SV18: $i] :
( ( ( ( SV18 = conflict )
| ( SV37 = conflict ) )
= $false )
| ( ( is_verdict @ SV18 )
= $false )
| ( ( is_verdict @ SV37 )
= $false )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(414,plain,
! [SV39: $i,SV50: $i,SV20: $i] :
( ( ( leq @ SV20 @ SV50 )
= $false )
| ( ( leq @ SV39 @ SV20 )
= $false )
| ( ( in_closed @ SV20 @ SV39 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(415,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i,SV57: $i] :
( ( ( ~ ( ~ ( in_closed @ SV57 @ SV3 @ SV23 )
| ~ ( in_closed @ SV57 @ SV41 @ SV52 ) ) )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(416,plain,
! [SV3: $i,SV23: $i,SV41: $i,SV52: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV3 @ SV23 )
| ~ ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV41 @ SV52 ) ) )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(417,plain,
! [SV27: $i,SV8: $i] :
( ( ( is_verdict @ SV8 )
= $false )
| ( ( ~ ( is_verdict @ SV27 ) )
= $true )
| ( ( SV8 != compatible )
= $true )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(418,plain,
! [SV11: $i,SV30: $i,SV46: $i,SV54: $i] :
( ( ( ~ ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV11 @ SV30 )
| ~ ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV46 @ SV54 ) )
= $false )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(419,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i,SV56: $i] :
( ( ( ~ ( in_closed @ SV56 @ SV11 @ SV30 )
| ~ ( in_closed @ SV56 @ SV46 @ SV54 ) )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(420,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) ) )
= $false )
| ( ( ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
= $true )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(421,plain,
! [SV37: $i,SV18: $i] :
( ( ( SV18 = conflict )
= $false )
| ( ( is_verdict @ SV18 )
= $false )
| ( ( is_verdict @ SV37 )
= $false )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(422,plain,
! [SV18: $i,SV37: $i] :
( ( ( SV37 = conflict )
= $false )
| ( ( is_verdict @ SV18 )
= $false )
| ( ( is_verdict @ SV37 )
= $false )
| ( ( ( box_verdict @ SV18 @ SV37 )
= conflict )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(423,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i,SV57: $i] :
( ( ( ~ ( in_closed @ SV57 @ SV3 @ SV23 )
| ~ ( in_closed @ SV57 @ SV41 @ SV52 ) )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(424,plain,
! [SV3: $i,SV23: $i,SV41: $i,SV52: $i] :
( ( ( ~ ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV3 @ SV23 )
| ~ ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV41 @ SV52 ) )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(425,plain,
! [SV8: $i,SV27: $i] :
( ( ( is_verdict @ SV27 )
= $false )
| ( ( is_verdict @ SV8 )
= $false )
| ( ( SV8 != compatible )
= $true )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(426,plain,
! [SV11: $i,SV30: $i,SV46: $i,SV54: $i] :
( ( ( ~ ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV11 @ SV30 ) )
= $false )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(427,plain,
! [SV11: $i,SV30: $i,SV46: $i,SV54: $i] :
( ( ( ~ ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV46 @ SV54 ) )
= $false )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(428,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i,SV56: $i] :
( ( ( ~ ( in_closed @ SV56 @ SV11 @ SV30 ) )
= $true )
| ( ( ~ ( in_closed @ SV56 @ SV46 @ SV54 ) )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(429,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ( is_verdict @ SV12 )
| ~ ( is_verdict @ SV31 ) )
= $true )
| ( ( ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
= $true )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(430,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i,SV57: $i] :
( ( ( ~ ( in_closed @ SV57 @ SV3 @ SV23 ) )
= $true )
| ( ( ~ ( in_closed @ SV57 @ SV41 @ SV52 ) )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(431,plain,
! [SV3: $i,SV23: $i,SV41: $i,SV52: $i] :
( ( ( ~ ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV3 @ SV23 ) )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(432,plain,
! [SV3: $i,SV23: $i,SV41: $i,SV52: $i] :
( ( ( ~ ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV41 @ SV52 ) )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(433,plain,
! [SV27: $i,SV8: $i] :
( ( ( SV8 = compatible )
= $false )
| ( ( is_verdict @ SV8 )
= $false )
| ( ( is_verdict @ SV27 )
= $false )
| ( ( SV27 != compatible )
= $true )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(434,plain,
! [SV11: $i,SV30: $i,SV46: $i,SV54: $i] :
( ( ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV11 @ SV30 )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(435,plain,
! [SV11: $i,SV30: $i,SV46: $i,SV54: $i] :
( ( ( in_closed @ ( sK2_SY129 @ SV54 @ SV46 @ SV30 @ SV11 ) @ SV46 @ SV54 )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(436,plain,
! [SV54: $i,SV46: $i,SV30: $i,SV11: $i,SV56: $i] :
( ( ( in_closed @ SV56 @ SV11 @ SV30 )
= $false )
| ( ( ~ ( in_closed @ SV56 @ SV46 @ SV54 ) )
= $true )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(437,plain,
! [SV31: $i,SV12: $i] :
( ( ( ~ ( is_verdict @ SV12 ) )
= $true )
| ( ( ~ ( is_verdict @ SV31 ) )
= $true )
| ( ( ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
= $true )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(438,plain,
! [SV52: $i,SV41: $i,SV23: $i,SV3: $i,SV57: $i] :
( ( ( in_closed @ SV57 @ SV3 @ SV23 )
= $false )
| ( ( ~ ( in_closed @ SV57 @ SV41 @ SV52 ) )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(439,plain,
! [SV3: $i,SV23: $i,SV41: $i,SV52: $i] :
( ( ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV3 @ SV23 )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(440,plain,
! [SV3: $i,SV23: $i,SV41: $i,SV52: $i] :
( ( ( in_closed @ ( sK3_SY126 @ SV52 @ SV41 @ SV23 @ SV3 ) @ SV41 @ SV52 )
= $true )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(441,plain,
! [SV8: $i,SV27: $i] :
( ( ( SV27 = compatible )
= $false )
| ( ( is_verdict @ SV27 )
= $false )
| ( ( is_verdict @ SV8 )
= $false )
| ( ( SV8 = compatible )
= $false )
| ( ( ( box_verdict @ SV8 @ SV27 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(442,plain,
! [SV30: $i,SV11: $i,SV54: $i,SV46: $i,SV56: $i] :
( ( ( in_closed @ SV56 @ SV46 @ SV54 )
= $false )
| ( ( in_closed @ SV56 @ SV11 @ SV30 )
= $false )
| ( ( axis_compatible @ SV11 @ SV30 @ SV46 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(443,plain,
! [SV31: $i,SV12: $i] :
( ( ( is_verdict @ SV12 )
= $false )
| ( ( ~ ( is_verdict @ SV31 ) )
= $true )
| ( ( ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
= $true )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(444,plain,
! [SV23: $i,SV3: $i,SV52: $i,SV41: $i,SV57: $i] :
( ( ( in_closed @ SV57 @ SV41 @ SV52 )
= $false )
| ( ( in_closed @ SV57 @ SV3 @ SV23 )
= $false )
| ( ( axis_conflict @ SV3 @ SV23 @ SV41 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(445,plain,
! [SV12: $i,SV31: $i] :
( ( ( is_verdict @ SV31 )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( ~ ( ( SV12 = unknown )
| ( SV31 = unknown ) ) )
= $true )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(446,plain,
! [SV31: $i,SV12: $i] :
( ( ( ( SV12 = unknown )
| ( SV31 = unknown ) )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(447,plain,
! [SV31: $i,SV12: $i] :
( ( ( SV12 = unknown )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(448,plain,
! [SV12: $i,SV31: $i] :
( ( ( SV31 = unknown )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( ~ ( ( SV12 != conflict ) ) )
= $true )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(449,plain,
! [SV31: $i,SV12: $i] :
( ( ( SV12 != conflict )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( SV12 = unknown )
= $false )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(450,plain,
! [SV31: $i,SV12: $i] :
( ( ( SV12 != conflict )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( SV31 = unknown )
= $false )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(451,plain,
! [SV31: $i,SV12: $i] :
( ( ( SV12 = conflict )
= $true )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( SV12 = unknown )
= $false )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(452,plain,
! [SV31: $i,SV12: $i] :
( ( ( SV12 = conflict )
= $true )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( SV31 = unknown )
= $false )
| ( ( ~ ( ( SV31 != conflict ) ) )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(453,plain,
! [SV12: $i,SV31: $i] :
( ( ( SV31 != conflict )
= $false )
| ( ( SV12 = unknown )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( SV12 = conflict )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(454,plain,
! [SV12: $i,SV31: $i] :
( ( ( SV31 != conflict )
= $false )
| ( ( SV31 = unknown )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( SV12 = conflict )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(455,plain,
! [SV12: $i,SV31: $i] :
( ( ( SV31 = conflict )
= $true )
| ( ( SV12 = unknown )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( SV12 = conflict )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(456,plain,
! [SV12: $i,SV31: $i] :
( ( ( SV31 = conflict )
= $true )
| ( ( SV31 = unknown )
= $false )
| ( ( is_verdict @ SV12 )
= $false )
| ( ( is_verdict @ SV31 )
= $false )
| ( ( SV12 = conflict )
= $true )
| ( ( ( box_verdict @ SV12 @ SV31 )
= unknown )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(457,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[89,456,455,444,442,441,440,439,435,434,422,421,414,412,408,406,405,404,400,399,396,395,390,389,386,385,384,365,357,354,352,344,329,328,327,326,297,296,235,226,219,208,206,205,159,150,140,138,134,104,103,102,101,100,91,90]) ).
thf(458,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT103+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
% 0.10/0.17 % Computer : n006.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 12:44:07 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/0.40
% 0.75/0.40 No.of.Axioms: 34
% 0.75/0.40
% 0.75/0.40 Length.of.Defs: 0
% 0.75/0.40
% 0.75/0.40 Contains.Choice.Funs: false
% 0.75/0.40 ..............
% 0.75/0.40
% 0.75/0.40 ********************************
% 0.75/0.40 * All subproblems solved! *
% 0.75/0.40 ********************************
% 0.75/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:34,ps:3,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:457,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.75/0.40
% 0.75/0.40 %**** Beginning of derivation protocol ****
% 0.75/0.40 % SZS output start CNFRefutation
% See solution above
% 0.37/0.40
% 0.37/0.40 %**** End of derivation protocol ****
% 0.37/0.40 %**** no. of clauses in derivation: 458 ****
% 0.37/0.40 %**** clause counter: 457 ****
% 0.37/0.40
% 0.37/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:34,ps:3,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:457,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------