%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT084+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:49 AM UTC 2026
% Result : Theorem 0.47s 0.35s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 25
% Syntax : Number of formulae : 309 ( 202 unt; 0 typ; 0 def)
% Number of atoms : 1724 ( 535 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 3408 (1053 ~; 505 |; 67 &;1750 @)
% ( 15 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 12 con; 0-4 aty)
% Number of variables : 581 ( 0 ^; 566 !; 15 ?; 581 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_axis_compatible,type,
axis_compatible: $i > $i > $i > $i > $o ).
thf(tp_axis_conflict,type,
axis_conflict: $i > $i > $i > $i > $o ).
thf(tp_axis_subsumes,type,
axis_subsumes: $i > $i > $i > $i > $o ).
thf(tp_box_verdict,type,
box_verdict: $i > $i > $i ).
thf(tp_compatible,type,
compatible: $i ).
thf(tp_conflict,type,
conflict: $i ).
thf(tp_in_closed,type,
in_closed: $i > $i > $i > $o ).
thf(tp_in_lopen,type,
in_lopen: $i > $i > $i > $o ).
thf(tp_in_open,type,
in_open: $i > $i > $i > $o ).
thf(tp_in_ropen,type,
in_ropen: $i > $i > $i > $o ).
thf(tp_is_verdict,type,
is_verdict: $i > $o ).
thf(tp_leq,type,
leq: $i > $i > $o ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY56,type,
sK2_SY56: $i ).
thf(tp_sK3_SY66,type,
sK3_SY66: $i ).
thf(tp_unknown,type,
unknown: $i ).
thf(tp_v0,type,
v0: $i ).
thf(tp_v200,type,
v200: $i ).
thf(tp_v400,type,
v400: $i ).
thf(tp_v600,type,
v600: $i ).
thf(tp_val,type,
val: $i > $o ).
thf(1,axiom,
( ( v0 != v200 )
& ( v0 != v400 )
& ( v0 != v600 )
& ( v200 != v400 )
& ( v200 != v600 )
& ( v400 != v600 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
thf(2,axiom,
less @ v400 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v600) ).
thf(3,axiom,
less @ v200 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v600) ).
thf(4,axiom,
less @ v200 @ v400,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v400) ).
thf(5,axiom,
less @ v0 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
thf(6,axiom,
less @ v0 @ v400,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
thf(7,axiom,
less @ v0 @ v200,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v200) ).
thf(8,axiom,
val @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v600) ).
thf(9,axiom,
val @ v400,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v400) ).
thf(10,axiom,
val @ v200,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v200) ).
thf(11,axiom,
val @ v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v0) ).
thf(26,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(27,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(28,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(29,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(30,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(31,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(32,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(33,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
thf(34,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).
thf(35,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
thf(36,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).
thf(37,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(38,axiom,
! [X: $i] :
~ ( less @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
thf(39,conjecture,
~ ? [X: $i,Y: $i,Z: $i] :
( ( in_lopen @ X @ v0 @ v600 )
& ( leq @ v600 @ X )
& ( in_lopen @ Y @ v0 @ v400 )
& ( less @ v400 @ Y )
& ( in_lopen @ Z @ v0 @ v200 )
& ( leq @ v200 @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl432) ).
thf(40,negated_conjecture,
( ( ~ ? [X: $i,Y: $i,Z: $i] :
( ( in_lopen @ X @ v0 @ v600 )
& ( leq @ v600 @ X )
& ( in_lopen @ Y @ v0 @ v400 )
& ( less @ v400 @ Y )
& ( in_lopen @ Z @ v0 @ v200 )
& ( leq @ v200 @ Z ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[39]) ).
thf(41,plain,
( ( ~ ? [X: $i,Y: $i,Z: $i] :
( ( in_lopen @ X @ v0 @ v600 )
& ( leq @ v600 @ X )
& ( in_lopen @ Y @ v0 @ v400 )
& ( less @ v400 @ Y )
& ( in_lopen @ Z @ v0 @ v200 )
& ( leq @ v200 @ Z ) ) )
= $false ),
inference(unfold_def,[status(thm)],[40]) ).
thf(42,plain,
( ( ( v0 != v200 )
& ( v0 != v400 )
& ( v0 != v600 )
& ( v200 != v400 )
& ( v200 != v600 )
& ( v400 != v600 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(43,plain,
( ( less @ v400 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(44,plain,
( ( less @ v200 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(45,plain,
( ( less @ v200 @ v400 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(46,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(47,plain,
( ( less @ v0 @ v400 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(48,plain,
( ( less @ v0 @ v200 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(49,plain,
( ( val @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(50,plain,
( ( val @ v400 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(51,plain,
( ( val @ v200 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(52,plain,
( ( val @ v0 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(53,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(54,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(55,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(56,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(60,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(62,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(63,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(64,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(65,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(66,plain,
( ( ? [X: $i,Y: $i,Z: $i] :
( ( in_lopen @ X @ v0 @ v600 )
& ( leq @ v600 @ X )
& ( in_lopen @ Y @ v0 @ v400 )
& ( less @ v400 @ Y )
& ( in_lopen @ Z @ v0 @ v200 )
& ( leq @ v200 @ Z ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(67,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(68,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(71,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(72,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(73,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(74,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(75,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(76,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(77,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(78,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(79,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(80,plain,
( ( val @ v0 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(81,plain,
( ( val @ v200 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(82,plain,
( ( val @ v400 )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(83,plain,
( ( val @ v600 )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(84,plain,
( ( less @ v0 @ v200 )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(85,plain,
( ( less @ v0 @ v400 )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(86,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(87,plain,
( ( less @ v200 @ v400 )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(88,plain,
( ( less @ v200 @ v600 )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(89,plain,
( ( less @ v400 @ v600 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(90,plain,
( ( ( v0 != v200 )
& ( v0 != v400 )
& ( v0 != v600 )
& ( v200 != v400 )
& ( v200 != v600 )
& ( v400 != v600 ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(91,plain,
( ( ? [X: $i,Y: $i,Z: $i] :
( ( in_lopen @ X @ v0 @ v600 )
& ( leq @ v600 @ X )
& ( in_lopen @ Y @ v0 @ v400 )
& ( less @ v400 @ Y )
& ( in_lopen @ Z @ v0 @ v200 )
& ( leq @ v200 @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(92,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(93,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ SX0 ) )
| ~ ( in_lopen @ SX1 @ v0 @ v400 ) )
| ~ ( less @ v400 @ SX1 ) )
| ~ ( in_lopen @ SX2 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(94,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(95,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(96,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( leq @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(97,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(98,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v200 != v400 ) ) )
| ~ ( ( v200 != v600 ) ) )
| ~ ( ( v400 != v600 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(99,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX2 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(100,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)],[76]) ).
thf(101,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)],[70]) ).
thf(102,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)],[77]) ).
thf(103,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)],[78]) ).
thf(104,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)],[79]) ).
thf(105,plain,
! [SV1: $i] :
( ( ~ ( less @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(106,plain,
! [SV2: $i] :
( ( ! [SY36: $i] :
( ( less @ SV2 @ SY36 )
| ( SV2 = SY36 )
| ( less @ SY36 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(107,plain,
! [SV3: $i] :
( ( ! [SY37: $i] :
( ~ ( less @ SV3 @ SY37 )
| ( leq @ SV3 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(108,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ SX0 ) )
| ~ ( in_lopen @ SX1 @ v0 @ v400 ) )
| ~ ( less @ v400 @ SX1 ) )
| ~ ( in_lopen @ SX2 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(109,plain,
! [SV4: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ~ ~ ( ~ ( leq @ SV4 @ SY38 )
| ~ ( less @ SY38 @ SY39 ) )
| ( less @ SV4 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(110,plain,
! [SV5: $i] :
( ( ! [SY40: $i] :
( ~ ~ ( ~ ( leq @ SV5 @ SY40 )
| ~ ( leq @ SY40 @ SV5 ) )
| ( SV5 = SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(111,plain,
! [SV6: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( leq @ SV6 @ SY41 )
| ~ ( leq @ SY41 @ SY42 ) )
| ( leq @ SV6 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(112,plain,
! [SV7: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( less @ SV7 @ SY43 )
| ~ ( leq @ SY43 @ SY44 ) )
| ( less @ SV7 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(113,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v200 != v400 ) ) )
| ~ ( ( v200 != v600 ) ) )
| ~ ( ( v400 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(114,plain,
! [SV8: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ~ ~ ( ~ ( less @ SV8 @ SY45 )
| ~ ( less @ SY45 @ SY46 ) )
| ( less @ SV8 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(115,plain,
! [SV9: $i] :
( ( ! [SY47: $i,SY48: $i] :
~ ( ~ ( ~ ( in_closed @ SV9 @ SY47 @ SY48 )
| ~ ( ~ ( leq @ SY47 @ SV9 )
| ~ ( leq @ SV9 @ SY48 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SY47 @ SV9 )
| ~ ( leq @ SV9 @ SY48 ) )
| ( in_closed @ SV9 @ SY47 @ SY48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(116,plain,
! [SV10: $i] :
( ( ! [SY49: $i] :
~ ( ~ ( ~ ( leq @ SV10 @ SY49 )
| ( less @ SV10 @ SY49 )
| ( SV10 = SY49 ) )
| ~ ( ~ ( ( less @ SV10 @ SY49 )
| ( SV10 = SY49 ) )
| ( leq @ SV10 @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(117,plain,
! [SV11: $i] :
( ( ! [SY50: $i,SY51: $i] :
~ ( ~ ( ~ ( in_lopen @ SV11 @ SY50 @ SY51 )
| ~ ( ~ ( less @ SY50 @ SV11 )
| ~ ( leq @ SV11 @ SY51 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SY50 @ SV11 )
| ~ ( leq @ SV11 @ SY51 ) )
| ( in_lopen @ SV11 @ SY50 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(118,plain,
! [SV12: $i] :
( ( ! [SY52: $i,SY53: $i] :
~ ( ~ ( ~ ( in_ropen @ SV12 @ SY52 @ SY53 )
| ~ ( ~ ( leq @ SY52 @ SV12 )
| ~ ( less @ SV12 @ SY53 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SY52 @ SV12 )
| ~ ( less @ SV12 @ SY53 ) )
| ( in_ropen @ SV12 @ SY52 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(119,plain,
! [SV13: $i] :
( ( ! [SY54: $i,SY55: $i] :
~ ( ~ ( ~ ( in_open @ SV13 @ SY54 @ SY55 )
| ~ ( ~ ( less @ SY54 @ SV13 )
| ~ ( less @ SV13 @ SY55 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SY54 @ SV13 )
| ~ ( less @ SV13 @ SY55 ) )
| ( in_open @ SV13 @ SY54 @ SY55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(120,plain,
! [SV1: $i] :
( ( less @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(121,plain,
! [SV14: $i,SV2: $i] :
( ( ( less @ SV2 @ SV14 )
| ( SV2 = SV14 )
| ( less @ SV14 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(122,plain,
! [SV15: $i,SV3: $i] :
( ( ~ ( less @ SV3 @ SV15 )
| ( leq @ SV3 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(123,plain,
( ( ~ ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ SY56 ) )
| ~ ( in_lopen @ SY57 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ SY57 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[108]) ).
thf(124,plain,
! [SV16: $i,SV4: $i] :
( ( ! [SY58: $i] :
( ~ ~ ( ~ ( leq @ SV4 @ SV16 )
| ~ ( less @ SV16 @ SY58 ) )
| ( less @ SV4 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(125,plain,
! [SV17: $i,SV5: $i] :
( ( ~ ~ ( ~ ( leq @ SV5 @ SV17 )
| ~ ( leq @ SV17 @ SV5 ) )
| ( SV5 = SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(126,plain,
! [SV18: $i,SV6: $i] :
( ( ! [SY59: $i] :
( ~ ~ ( ~ ( leq @ SV6 @ SV18 )
| ~ ( leq @ SV18 @ SY59 ) )
| ( leq @ SV6 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(127,plain,
! [SV19: $i,SV7: $i] :
( ( ! [SY60: $i] :
( ~ ~ ( ~ ( less @ SV7 @ SV19 )
| ~ ( leq @ SV19 @ SY60 ) )
| ( less @ SV7 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(128,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v200 != v400 ) ) )
| ~ ( ( v200 != v600 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(129,plain,
( ( ~ ( ( v400 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(130,plain,
! [SV20: $i,SV8: $i] :
( ( ! [SY61: $i] :
( ~ ~ ( ~ ( less @ SV8 @ SV20 )
| ~ ( less @ SV20 @ SY61 ) )
| ( less @ SV8 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(131,plain,
! [SV21: $i,SV9: $i] :
( ( ! [SY62: $i] :
~ ( ~ ( ~ ( in_closed @ SV9 @ SV21 @ SY62 )
| ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SY62 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SY62 ) )
| ( in_closed @ SV9 @ SV21 @ SY62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(132,plain,
! [SV22: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( leq @ SV10 @ SV22 )
| ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
| ~ ( ~ ( ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
| ( leq @ SV10 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(133,plain,
! [SV23: $i,SV11: $i] :
( ( ! [SY63: $i] :
~ ( ~ ( ~ ( in_lopen @ SV11 @ SV23 @ SY63 )
| ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SY63 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SY63 ) )
| ( in_lopen @ SV11 @ SV23 @ SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(134,plain,
! [SV24: $i,SV12: $i] :
( ( ! [SY64: $i] :
~ ( ~ ( ~ ( in_ropen @ SV12 @ SV24 @ SY64 )
| ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SY64 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SY64 ) )
| ( in_ropen @ SV12 @ SV24 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(135,plain,
! [SV25: $i,SV13: $i] :
( ( ! [SY65: $i] :
~ ( ~ ( ~ ( in_open @ SV13 @ SV25 @ SY65 )
| ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SY65 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SY65 ) )
| ( in_open @ SV13 @ SV25 @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(136,plain,
! [SV14: $i,SV2: $i] :
( ( ( ( less @ SV2 @ SV14 )
| ( SV2 = SV14 ) )
= $true )
| ( ( less @ SV14 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(137,plain,
! [SV15: $i,SV3: $i] :
( ( ( ~ ( less @ SV3 @ SV15 ) )
= $true )
| ( ( leq @ SV3 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(138,plain,
( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ SY56 ) )
| ~ ( in_lopen @ SY57 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ SY57 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(139,plain,
! [SV26: $i,SV16: $i,SV4: $i] :
( ( ~ ~ ( ~ ( leq @ SV4 @ SV16 )
| ~ ( less @ SV16 @ SV26 ) )
| ( less @ SV4 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV5 @ SV17 )
| ~ ( leq @ SV17 @ SV5 ) ) )
= $true )
| ( ( SV5 = SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ~ ~ ( ~ ( leq @ SV6 @ SV18 )
| ~ ( leq @ SV18 @ SV27 ) )
| ( leq @ SV6 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(142,plain,
! [SV28: $i,SV19: $i,SV7: $i] :
( ( ~ ~ ( ~ ( less @ SV7 @ SV19 )
| ~ ( leq @ SV19 @ SV28 ) )
| ( less @ SV7 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(143,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v200 != v400 ) ) )
| ~ ( ( v200 != v600 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(144,plain,
( ( v400 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(145,plain,
! [SV29: $i,SV20: $i,SV8: $i] :
( ( ~ ~ ( ~ ( less @ SV8 @ SV20 )
| ~ ( less @ SV20 @ SV29 ) )
| ( less @ SV8 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV30: $i,SV21: $i,SV9: $i] :
( ( ~ ( ~ ( ~ ( in_closed @ SV9 @ SV21 @ SV30 )
| ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) )
| ( in_closed @ SV9 @ SV21 @ SV30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(147,plain,
! [SV22: $i,SV10: $i] :
( ( ~ ( ~ ( leq @ SV10 @ SV22 )
| ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
| ~ ( ~ ( ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
| ( leq @ SV10 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(148,plain,
! [SV31: $i,SV23: $i,SV11: $i] :
( ( ~ ( ~ ( ~ ( in_lopen @ SV11 @ SV23 @ SV31 )
| ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) )
| ( in_lopen @ SV11 @ SV23 @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(149,plain,
! [SV32: $i,SV24: $i,SV12: $i] :
( ( ~ ( ~ ( ~ ( in_ropen @ SV12 @ SV24 @ SV32 )
| ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) )
| ( in_ropen @ SV12 @ SV24 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(150,plain,
! [SV33: $i,SV25: $i,SV13: $i] :
( ( ~ ( ~ ( ~ ( in_open @ SV13 @ SV25 @ SV33 )
| ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) )
| ( in_open @ SV13 @ SV25 @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(151,plain,
! [SV14: $i,SV2: $i] :
( ( ( less @ SV2 @ SV14 )
= $true )
| ( ( SV2 = SV14 )
= $true )
| ( ( less @ SV14 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(152,plain,
! [SV15: $i,SV3: $i] :
( ( ( less @ SV3 @ SV15 )
= $false )
| ( ( leq @ SV3 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(153,plain,
( ( ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ SY56 ) )
| ~ ( in_lopen @ SY57 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ SY57 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(154,plain,
! [SV26: $i,SV16: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV4 @ SV16 )
| ~ ( less @ SV16 @ SV26 ) ) )
= $true )
| ( ( less @ SV4 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(155,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ( ~ ( leq @ SV5 @ SV17 )
| ~ ( leq @ SV17 @ SV5 ) ) )
= $false )
| ( ( SV5 = SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(156,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV6 @ SV18 )
| ~ ( leq @ SV18 @ SV27 ) ) )
= $true )
| ( ( leq @ SV6 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(157,plain,
! [SV28: $i,SV19: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( less @ SV7 @ SV19 )
| ~ ( leq @ SV19 @ SV28 ) ) )
= $true )
| ( ( less @ SV7 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(158,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v200 != v400 ) ) )
| ~ ( ( v200 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(159,plain,
( ( v400 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(160,plain,
! [SV29: $i,SV20: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( less @ SV8 @ SV20 )
| ~ ( less @ SV20 @ SV29 ) ) )
= $true )
| ( ( less @ SV8 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(161,plain,
! [SV30: $i,SV21: $i,SV9: $i] :
( ( ~ ( ~ ( in_closed @ SV9 @ SV21 @ SV30 )
| ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) )
| ( in_closed @ SV9 @ SV21 @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(162,plain,
! [SV22: $i,SV10: $i] :
( ( ~ ( ~ ( leq @ SV10 @ SV22 )
| ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(163,plain,
! [SV22: $i,SV10: $i] :
( ( ~ ( ~ ( ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
| ( leq @ SV10 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(164,plain,
! [SV31: $i,SV23: $i,SV11: $i] :
( ( ~ ( ~ ( in_lopen @ SV11 @ SV23 @ SV31 )
| ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) )
| ( in_lopen @ SV11 @ SV23 @ SV31 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(165,plain,
! [SV32: $i,SV24: $i,SV12: $i] :
( ( ~ ( ~ ( in_ropen @ SV12 @ SV24 @ SV32 )
| ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) )
| ( in_ropen @ SV12 @ SV24 @ SV32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(166,plain,
! [SV33: $i,SV25: $i,SV13: $i] :
( ( ~ ( ~ ( in_open @ SV13 @ SV25 @ SV33 )
| ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) ) )
| ~ ( ~ ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) )
| ( in_open @ SV13 @ SV25 @ SV33 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(167,plain,
( ( ~ ~ ! [SY66: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ SY66 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ SY66 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(168,plain,
! [SV26: $i,SV16: $i,SV4: $i] :
( ( ( ~ ( ~ ( leq @ SV4 @ SV16 )
| ~ ( less @ SV16 @ SV26 ) ) )
= $false )
| ( ( less @ SV4 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(169,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ( leq @ SV5 @ SV17 )
| ~ ( leq @ SV17 @ SV5 ) )
= $true )
| ( ( SV5 = SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(170,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ( ~ ( ~ ( leq @ SV6 @ SV18 )
| ~ ( leq @ SV18 @ SV27 ) ) )
= $false )
| ( ( leq @ SV6 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(171,plain,
! [SV28: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( ~ ( less @ SV7 @ SV19 )
| ~ ( leq @ SV19 @ SV28 ) ) )
= $false )
| ( ( less @ SV7 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(172,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v200 != v400 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(173,plain,
( ( ~ ( ( v200 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(174,plain,
! [SV29: $i,SV20: $i,SV8: $i] :
( ( ( ~ ( ~ ( less @ SV8 @ SV20 )
| ~ ( less @ SV20 @ SV29 ) ) )
= $false )
| ( ( less @ SV8 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(175,plain,
! [SV30: $i,SV21: $i,SV9: $i] :
( ( ~ ( ~ ( in_closed @ SV9 @ SV21 @ SV30 )
| ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(176,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) )
| ( in_closed @ SV9 @ SV21 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(177,plain,
! [SV22: $i,SV10: $i] :
( ( ~ ( leq @ SV10 @ SV22 )
| ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(178,plain,
! [SV22: $i,SV10: $i] :
( ( ~ ( ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
| ( leq @ SV10 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(179,plain,
! [SV31: $i,SV23: $i,SV11: $i] :
( ( ~ ( ~ ( in_lopen @ SV11 @ SV23 @ SV31 )
| ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(180,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ~ ( ~ ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) )
| ( in_lopen @ SV11 @ SV23 @ SV31 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(181,plain,
! [SV32: $i,SV24: $i,SV12: $i] :
( ( ~ ( ~ ( in_ropen @ SV12 @ SV24 @ SV32 )
| ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(182,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) )
| ( in_ropen @ SV12 @ SV24 @ SV32 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(183,plain,
! [SV33: $i,SV25: $i,SV13: $i] :
( ( ~ ( ~ ( in_open @ SV13 @ SV25 @ SV33 )
| ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(184,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ~ ( ~ ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) )
| ( in_open @ SV13 @ SV25 @ SV33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(185,plain,
( ( ~ ! [SY66: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ SY66 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ SY66 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(186,plain,
! [SV26: $i,SV16: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV16 )
| ~ ( less @ SV16 @ SV26 ) )
= $true )
| ( ( less @ SV4 @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(187,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ( leq @ SV5 @ SV17 ) )
= $true )
| ( ( ~ ( leq @ SV17 @ SV5 ) )
= $true )
| ( ( SV5 = SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(188,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ( ~ ( leq @ SV6 @ SV18 )
| ~ ( leq @ SV18 @ SV27 ) )
= $true )
| ( ( leq @ SV6 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(189,plain,
! [SV28: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( less @ SV7 @ SV19 )
| ~ ( leq @ SV19 @ SV28 ) )
= $true )
| ( ( less @ SV7 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(190,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v200 != v400 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(191,plain,
( ( v200 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(192,plain,
! [SV29: $i,SV20: $i,SV8: $i] :
( ( ( ~ ( less @ SV8 @ SV20 )
| ~ ( less @ SV20 @ SV29 ) )
= $true )
| ( ( less @ SV8 @ SV29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(193,plain,
! [SV30: $i,SV21: $i,SV9: $i] :
( ( ~ ( in_closed @ SV9 @ SV21 @ SV30 )
| ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(194,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ~ ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) )
| ( in_closed @ SV9 @ SV21 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(195,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( leq @ SV10 @ SV22 ) )
= $true )
| ( ( ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(196,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) ) )
= $true )
| ( ( leq @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(197,plain,
! [SV31: $i,SV23: $i,SV11: $i] :
( ( ~ ( in_lopen @ SV11 @ SV23 @ SV31 )
| ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(198,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ~ ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) )
| ( in_lopen @ SV11 @ SV23 @ SV31 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(199,plain,
! [SV32: $i,SV24: $i,SV12: $i] :
( ( ~ ( in_ropen @ SV12 @ SV24 @ SV32 )
| ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(200,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ~ ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) )
| ( in_ropen @ SV12 @ SV24 @ SV32 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(201,plain,
! [SV33: $i,SV25: $i,SV13: $i] :
( ( ~ ( in_open @ SV13 @ SV25 @ SV33 )
| ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(202,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ~ ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) )
| ( in_open @ SV13 @ SV25 @ SV33 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(203,plain,
( ( ! [SY66: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ SY66 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ SY66 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(204,plain,
! [SV26: $i,SV16: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV16 ) )
= $true )
| ( ( ~ ( less @ SV16 @ SV26 ) )
= $true )
| ( ( less @ SV4 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(205,plain,
! [SV17: $i,SV5: $i] :
( ( ( leq @ SV5 @ SV17 )
= $false )
| ( ( ~ ( leq @ SV17 @ SV5 ) )
= $true )
| ( ( SV5 = SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(206,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ( ~ ( leq @ SV6 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV27 ) )
= $true )
| ( ( leq @ SV6 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(207,plain,
! [SV28: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( less @ SV7 @ SV19 ) )
= $true )
| ( ( ~ ( leq @ SV19 @ SV28 ) )
= $true )
| ( ( less @ SV7 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(208,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
| ~ ( ( v200 != v400 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(209,plain,
( ( v200 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(210,plain,
! [SV29: $i,SV20: $i,SV8: $i] :
( ( ( ~ ( less @ SV8 @ SV20 ) )
= $true )
| ( ( ~ ( less @ SV20 @ SV29 ) )
= $true )
| ( ( less @ SV8 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(211,plain,
! [SV30: $i,SV21: $i,SV9: $i] :
( ( ( ~ ( in_closed @ SV9 @ SV21 @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(212,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) ) )
= $true )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(213,plain,
! [SV22: $i,SV10: $i] :
( ( ( leq @ SV10 @ SV22 )
= $false )
| ( ( ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV22: $i,SV10: $i] :
( ( ( ( less @ SV10 @ SV22 )
| ( SV10 = SV22 ) )
= $false )
| ( ( leq @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV31: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( in_lopen @ SV11 @ SV23 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(216,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) ) )
= $true )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(217,plain,
! [SV32: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( in_ropen @ SV12 @ SV24 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(218,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) ) )
= $true )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(219,plain,
! [SV33: $i,SV25: $i,SV13: $i] :
( ( ( ~ ( in_open @ SV13 @ SV25 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(220,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) ) )
= $true )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(221,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ sK3_SY66 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ sK3_SY66 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[203]) ).
thf(222,plain,
! [SV26: $i,SV16: $i,SV4: $i] :
( ( ( leq @ SV4 @ SV16 )
= $false )
| ( ( ~ ( less @ SV16 @ SV26 ) )
= $true )
| ( ( less @ SV4 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(223,plain,
! [SV5: $i,SV17: $i] :
( ( ( leq @ SV17 @ SV5 )
= $false )
| ( ( leq @ SV5 @ SV17 )
= $false )
| ( ( SV5 = SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(224,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ( leq @ SV6 @ SV18 )
= $false )
| ( ( ~ ( leq @ SV18 @ SV27 ) )
= $true )
| ( ( leq @ SV6 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(225,plain,
! [SV28: $i,SV19: $i,SV7: $i] :
( ( ( less @ SV7 @ SV19 )
= $false )
| ( ( ~ ( leq @ SV19 @ SV28 ) )
= $true )
| ( ( less @ SV7 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(226,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(227,plain,
( ( ~ ( ( v200 != v400 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(228,plain,
! [SV29: $i,SV20: $i,SV8: $i] :
( ( ( less @ SV8 @ SV20 )
= $false )
| ( ( ~ ( less @ SV20 @ SV29 ) )
= $true )
| ( ( less @ SV8 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(229,plain,
! [SV30: $i,SV21: $i,SV9: $i] :
( ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $false )
| ( ( ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(230,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ( ~ ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) ) )
= $false )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(231,plain,
! [SV22: $i,SV10: $i] :
( ( ( less @ SV10 @ SV22 )
= $true )
| ( ( SV10 = SV22 )
= $true )
| ( ( leq @ SV10 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(232,plain,
! [SV22: $i,SV10: $i] :
( ( ( less @ SV10 @ SV22 )
= $false )
| ( ( leq @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(233,plain,
! [SV22: $i,SV10: $i] :
( ( ( SV10 = SV22 )
= $false )
| ( ( leq @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(234,plain,
! [SV31: $i,SV23: $i,SV11: $i] :
( ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $false )
| ( ( ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(235,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) ) )
= $false )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(236,plain,
! [SV32: $i,SV24: $i,SV12: $i] :
( ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $false )
| ( ( ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(237,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ( ~ ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) ) )
= $false )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(238,plain,
! [SV33: $i,SV25: $i,SV13: $i] :
( ( ( in_open @ SV13 @ SV25 @ SV33 )
= $false )
| ( ( ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(239,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ( ~ ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) ) )
= $false )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(240,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ sK3_SY66 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ sK3_SY66 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(241,plain,
! [SV4: $i,SV26: $i,SV16: $i] :
( ( ( less @ SV16 @ SV26 )
= $false )
| ( ( leq @ SV4 @ SV16 )
= $false )
| ( ( less @ SV4 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(242,plain,
! [SV6: $i,SV27: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV27 )
= $false )
| ( ( leq @ SV6 @ SV18 )
= $false )
| ( ( leq @ SV6 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(243,plain,
! [SV7: $i,SV28: $i,SV19: $i] :
( ( ( leq @ SV19 @ SV28 )
= $false )
| ( ( less @ SV7 @ SV19 )
= $false )
| ( ( less @ SV7 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(244,plain,
( ( ~ ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(245,plain,
( ( v200 != v400 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(246,plain,
! [SV8: $i,SV29: $i,SV20: $i] :
( ( ( less @ SV20 @ SV29 )
= $false )
| ( ( less @ SV8 @ SV20 )
= $false )
| ( ( less @ SV8 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(247,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) )
= $false )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(248,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ( ~ ( leq @ SV21 @ SV9 )
| ~ ( leq @ SV9 @ SV30 ) )
= $true )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(249,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) )
= $false )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(250,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( less @ SV23 @ SV11 )
| ~ ( leq @ SV11 @ SV31 ) )
= $true )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(251,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) )
= $false )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(252,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ( ~ ( leq @ SV24 @ SV12 )
| ~ ( less @ SV12 @ SV32 ) )
= $true )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(253,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) )
= $false )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(254,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV13 )
| ~ ( less @ SV13 @ SV33 ) )
= $true )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(255,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ sK3_SY66 @ v0 @ v200 ) )
| ~ ( leq @ v200 @ sK3_SY66 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(256,plain,
( ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
| ~ ( ( v0 != v600 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(257,plain,
( ( v200 = v400 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(258,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ( ~ ( leq @ SV21 @ SV9 ) )
= $false )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(259,plain,
! [SV21: $i,SV30: $i,SV9: $i] :
( ( ( ~ ( leq @ SV9 @ SV30 ) )
= $false )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(260,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ( ~ ( leq @ SV21 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV30 ) )
= $true )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( less @ SV23 @ SV11 ) )
= $false )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(262,plain,
! [SV23: $i,SV31: $i,SV11: $i] :
( ( ( ~ ( leq @ SV11 @ SV31 ) )
= $false )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(263,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( less @ SV23 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV31 ) )
= $true )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(264,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ( ~ ( leq @ SV24 @ SV12 ) )
= $false )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(265,plain,
! [SV24: $i,SV32: $i,SV12: $i] :
( ( ( ~ ( less @ SV12 @ SV32 ) )
= $false )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(266,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ( ~ ( leq @ SV24 @ SV12 ) )
= $true )
| ( ( ~ ( less @ SV12 @ SV32 ) )
= $true )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(267,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV13 ) )
= $false )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(268,plain,
! [SV25: $i,SV33: $i,SV13: $i] :
( ( ( ~ ( less @ SV13 @ SV33 ) )
= $false )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(269,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV13 ) )
= $true )
| ( ( ~ ( less @ SV13 @ SV33 ) )
= $true )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(270,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ sK3_SY66 @ v0 @ v200 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(271,plain,
( ( ~ ( leq @ v200 @ sK3_SY66 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(272,plain,
( ( ~ ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(273,plain,
( ( ~ ( ( v0 != v600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(274,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ( leq @ SV21 @ SV9 )
= $true )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(275,plain,
! [SV21: $i,SV30: $i,SV9: $i] :
( ( ( leq @ SV9 @ SV30 )
= $true )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(276,plain,
! [SV30: $i,SV9: $i,SV21: $i] :
( ( ( leq @ SV21 @ SV9 )
= $false )
| ( ( ~ ( leq @ SV9 @ SV30 ) )
= $true )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(277,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ( less @ SV23 @ SV11 )
= $true )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(278,plain,
! [SV23: $i,SV31: $i,SV11: $i] :
( ( ( leq @ SV11 @ SV31 )
= $true )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(279,plain,
! [SV31: $i,SV11: $i,SV23: $i] :
( ( ( less @ SV23 @ SV11 )
= $false )
| ( ( ~ ( leq @ SV11 @ SV31 ) )
= $true )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(280,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ( leq @ SV24 @ SV12 )
= $true )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(281,plain,
! [SV24: $i,SV32: $i,SV12: $i] :
( ( ( less @ SV12 @ SV32 )
= $true )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(282,plain,
! [SV32: $i,SV12: $i,SV24: $i] :
( ( ( leq @ SV24 @ SV12 )
= $false )
| ( ( ~ ( less @ SV12 @ SV32 ) )
= $true )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(283,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ( less @ SV25 @ SV13 )
= $true )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(284,plain,
! [SV25: $i,SV33: $i,SV13: $i] :
( ( ( less @ SV13 @ SV33 )
= $true )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(285,plain,
! [SV33: $i,SV13: $i,SV25: $i] :
( ( ( less @ SV25 @ SV13 )
= $false )
| ( ( ~ ( less @ SV13 @ SV33 ) )
= $true )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(286,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ sK3_SY66 @ v0 @ v200 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(287,plain,
( ( leq @ v200 @ sK3_SY66 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(288,plain,
( ( ~ ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(289,plain,
( ( v0 != v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(290,plain,
! [SV21: $i,SV30: $i,SV9: $i] :
( ( ( leq @ SV9 @ SV30 )
= $false )
| ( ( leq @ SV21 @ SV9 )
= $false )
| ( ( in_closed @ SV9 @ SV21 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(291,plain,
! [SV23: $i,SV31: $i,SV11: $i] :
( ( ( leq @ SV11 @ SV31 )
= $false )
| ( ( less @ SV23 @ SV11 )
= $false )
| ( ( in_lopen @ SV11 @ SV23 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(292,plain,
! [SV24: $i,SV32: $i,SV12: $i] :
( ( ( less @ SV12 @ SV32 )
= $false )
| ( ( leq @ SV24 @ SV12 )
= $false )
| ( ( in_ropen @ SV12 @ SV24 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(293,plain,
! [SV25: $i,SV33: $i,SV13: $i] :
( ( ( less @ SV13 @ SV33 )
= $false )
| ( ( less @ SV25 @ SV13 )
= $false )
| ( ( in_open @ SV13 @ SV25 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(294,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
| ~ ( in_lopen @ sK3_SY66 @ v0 @ v200 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(295,plain,
( ( ~ ( ( v0 != v200 ) )
| ~ ( ( v0 != v400 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(296,plain,
( ( v0 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(297,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(298,plain,
( ( ~ ( in_lopen @ sK3_SY66 @ v0 @ v200 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(299,plain,
( ( ~ ( ( v0 != v200 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(300,plain,
( ( ~ ( ( v0 != v400 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(301,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(302,plain,
( ( in_lopen @ sK3_SY66 @ v0 @ v200 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(303,plain,
( ( v0 != v200 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(304,plain,
( ( v0 != v400 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(305,plain,
( ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
| ~ ( less @ v400 @ sK2_SY56 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(306,plain,
( ( v0 = v200 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(307,plain,
( ( v0 = v400 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(308,plain,
( ( ~ ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(309,plain,
( ( ~ ( less @ v400 @ sK2_SY56 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(310,plain,
( ( ~ ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(311,plain,
( ( less @ v400 @ sK2_SY56 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(312,plain,
( ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
| ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(313,plain,
( ( ~ ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(314,plain,
( ( ~ ( in_lopen @ sK2_SY56 @ v0 @ v400 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(315,plain,
( ( ~ ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(316,plain,
( ( in_lopen @ sK2_SY56 @ v0 @ v400 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(317,plain,
( ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(318,plain,
( ( ~ ( in_lopen @ sK1_SX0 @ v0 @ v600 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(319,plain,
( ( ~ ( leq @ v600 @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(320,plain,
( ( in_lopen @ sK1_SX0 @ v0 @ v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(321,plain,
( ( leq @ v600 @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(322,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[80,321,320,316,311,307,306,302,296,293,292,291,290,287,284,283,281,280,278,277,275,274,257,246,243,242,241,233,232,231,223,209,159,152,151,120,89,88,87,86,85,84,83,82,81]) ).
thf(323,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT084+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
% 0.07/0.19 % Computer : n008.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 12:44:54 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
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% 0.47/0.35 No.of.Axioms: 24
% 0.47/0.35
% 0.47/0.35 Length.of.Defs: 0
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% 0.47/0.35 Contains.Choice.Funs: false
% 0.47/0.35 ........
% 0.47/0.35
% 0.47/0.35 ********************************
% 0.47/0.35 * All subproblems solved! *
% 0.47/0.35 ********************************
% 0.47/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:24,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:322,loop_count:0,foatp_calls:1,translation:fof_full)
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% 0.47/0.35 %**** Beginning of derivation protocol ****
% 0.47/0.35 % SZS output start CNFRefutation
% See solution above
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% 0.47/0.35 %**** End of derivation protocol ****
% 0.47/0.35 %**** no. of clauses in derivation: 309 ****
% 0.47/0.35 %**** clause counter: 322 ****
% 0.47/0.35
% 0.47/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:24,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:322,loop_count:0,foatp_calls:1,translation:fof_full)
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