%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n002.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 10:31:47 AM UTC 2026
% Result : Theorem 0.56s 0.36s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 251 ( 126 unt; 0 typ; 0 def)
% Number of atoms : 1616 ( 400 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 4686 (1080 ~; 550 |; 26 &;3003 @)
% ( 24 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 10 con; 0-9 aty)
% Number of variables : 1165 ( 0 ^;1154 !; 11 ?;1165 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_axis_compatible,type,
axis_compatible: $i > $i > $i > $i > $o ).
thf(tp_axis_conflict,type,
axis_conflict: $i > $i > $i > $i > $o ).
thf(tp_axis_subsumes,type,
axis_subsumes: $i > $i > $i > $i > $o ).
thf(tp_box2_compatible,type,
box2_compatible: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_box2_conflict,type,
box2_conflict: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_box_verdict,type,
box_verdict: $i > $i > $i ).
thf(tp_compatible,type,
compatible: $i ).
thf(tp_conflict,type,
conflict: $i ).
thf(tp_in_box2,type,
in_box2: $i > $i > $i > $i > $i > $i > $o ).
thf(tp_in_box3,type,
in_box3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_in_closed,type,
in_closed: $i > $i > $i > $o ).
thf(tp_in_lopen,type,
in_lopen: $i > $i > $i > $o ).
thf(tp_in_open,type,
in_open: $i > $i > $i > $o ).
thf(tp_in_ropen,type,
in_ropen: $i > $i > $i > $o ).
thf(tp_is_verdict,type,
is_verdict: $i > $o ).
thf(tp_leq,type,
leq: $i > $i > $o ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_n0,type,
n0: $i ).
thf(tp_n10,type,
n10: $i ).
thf(tp_n15,type,
n15: $i ).
thf(tp_n5,type,
n5: $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY121,type,
sK2_SY121: $i > $i > $i > $i > $i ).
thf(tp_sK3_SY124,type,
sK3_SY124: $i > $i > $i > $i > $i ).
thf(tp_sK4_SY127,type,
sK4_SY127: $i > $i > $i > $i > $i ).
thf(tp_unknown,type,
unknown: $i ).
thf(4,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shape_closed) ).
thf(5,axiom,
! [X: $i,V: $i] :
( ( in_closed @ X @ V @ V )
<=> ( X = V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shape_point) ).
thf(8,axiom,
! [X1: $i,X2: $i,X3: $i,A1: $i,B1: $i,A2: $i,B2: $i,A3: $i,B3: $i] :
( ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 )
& ( in_closed @ X3 @ A3 @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_box3) ).
thf(9,axiom,
! [X1: $i,X2: $i,A1: $i,B1: $i,A2: $i,B2: $i] :
( ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_box2) ).
thf(21,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(22,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(23,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(27,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(37,axiom,
axis_conflict @ n0 @ n5 @ n10 @ n15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conflict_hyp) ).
thf(38,axiom,
less @ n10 @ n15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order_10_15) ).
thf(39,axiom,
less @ n5 @ n10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order_5_10) ).
thf(40,axiom,
less @ n0 @ n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order_0_5) ).
thf(41,conjecture,
~ ? [X: $i] :
( ( in_closed @ X @ n0 @ n5 )
& ( in_closed @ X @ n10 @ n15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_false_conflict) ).
thf(42,negated_conjecture,
( ( ~ ? [X: $i] :
( ( in_closed @ X @ n0 @ n5 )
& ( in_closed @ X @ n10 @ n15 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[41]) ).
thf(43,plain,
( ( ~ ? [X: $i] :
( ( in_closed @ X @ n0 @ n5 )
& ( in_closed @ X @ n10 @ n15 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[42]) ).
thf(44,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(45,plain,
( ( ! [X: $i,V: $i] :
( ( in_closed @ X @ V @ V )
<=> ( X = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(46,plain,
( ( ! [X1: $i,X2: $i,X3: $i,A1: $i,B1: $i,A2: $i,B2: $i,A3: $i,B3: $i] :
( ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 )
& ( in_closed @ X3 @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(47,plain,
( ( ! [X1: $i,X2: $i,A1: $i,B1: $i,A2: $i,B2: $i] :
( ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(48,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)],[21]) ).
thf(49,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)],[22]) ).
thf(50,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)],[23]) ).
thf(51,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(52,plain,
( ( axis_conflict @ n0 @ n5 @ n10 @ n15 )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(53,plain,
( ( less @ n10 @ n15 )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(54,plain,
( ( less @ n5 @ n10 )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(55,plain,
( ( less @ n0 @ n5 )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(56,plain,
( ( ? [X: $i] :
( ( in_closed @ X @ n0 @ n5 )
& ( in_closed @ X @ n10 @ n15 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[43]) ).
thf(57,plain,
( ( less @ n0 @ n5 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(58,plain,
( ( less @ n5 @ n10 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(59,plain,
( ( less @ n10 @ n15 )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(60,plain,
( ( axis_conflict @ n0 @ n5 @ n10 @ n15 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(61,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(62,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)],[50]) ).
thf(63,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)],[49]) ).
thf(64,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)],[48]) ).
thf(65,plain,
( ( ! [X1: $i,X2: $i,A1: $i,B1: $i,A2: $i,B2: $i] :
( ( in_box2 @ X1 @ X2 @ A1 @ B1 @ A2 @ B2 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(66,plain,
( ( ! [X1: $i,X2: $i,X3: $i,A1: $i,B1: $i,A2: $i,B2: $i,A3: $i,B3: $i] :
( ( in_box3 @ X1 @ X2 @ X3 @ A1 @ B1 @ A2 @ B2 @ A3 @ B3 )
<=> ( ( in_closed @ X1 @ A1 @ B1 )
& ( in_closed @ X2 @ A2 @ B2 )
& ( in_closed @ X3 @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(67,plain,
( ( ! [X: $i,V: $i] :
( ( in_closed @ X @ V @ V )
<=> ( X = V ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(68,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(69,plain,
( ( ? [X: $i] :
( ( in_closed @ X @ n0 @ n5 )
& ( in_closed @ X @ n10 @ n15 ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(70,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
~ ( ~ ( ~ ( in_box3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 )
| ~ ( ~ ~ ( ~ ( in_closed @ SX0 @ SX3 @ SX4 )
| ~ ( in_closed @ SX1 @ SX5 @ SX6 ) )
| ~ ( in_closed @ SX2 @ SX7 @ SX8 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SX0 @ SX3 @ SX4 )
| ~ ( in_closed @ SX1 @ SX5 @ SX6 ) )
| ~ ( in_closed @ SX2 @ SX7 @ SX8 ) )
| ( in_box3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(71,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)],[64]) ).
thf(72,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ( ~ ( ~ ( in_box2 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
| ~ ( ~ ( in_closed @ SX0 @ SX2 @ SX3 )
| ~ ( in_closed @ SX1 @ SX4 @ SX5 ) ) )
| ~ ( ~ ~ ( ~ ( in_closed @ SX0 @ SX2 @ SX3 )
| ~ ( in_closed @ SX1 @ SX4 @ SX5 ) )
| ( in_box2 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(73,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)],[61]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( in_closed @ SX0 @ SX1 @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( in_closed @ SX0 @ SX1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(75,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)],[63]) ).
thf(76,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)],[68]) ).
thf(77,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( in_closed @ SX0 @ n0 @ n5 )
| ~ ( in_closed @ SX0 @ n10 @ n15 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(78,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)],[62]) ).
thf(79,plain,
! [SV1: $i] :
( ( ! [SY39: $i,SY40: $i,SY41: $i,SY42: $i,SY43: $i,SY44: $i,SY45: $i,SY46: $i] :
~ ( ~ ( ~ ( in_box3 @ SV1 @ SY39 @ SY40 @ SY41 @ SY42 @ SY43 @ SY44 @ SY45 @ SY46 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SY41 @ SY42 )
| ~ ( in_closed @ SY39 @ SY43 @ SY44 ) )
| ~ ( in_closed @ SY40 @ SY45 @ SY46 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SY41 @ SY42 )
| ~ ( in_closed @ SY39 @ SY43 @ SY44 ) )
| ~ ( in_closed @ SY40 @ SY45 @ SY46 ) )
| ( in_box3 @ SV1 @ SY39 @ SY40 @ SY41 @ SY42 @ SY43 @ SY44 @ SY45 @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(80,plain,
! [SV2: $i] :
( ( ! [SY47: $i,SY48: $i,SY49: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV2 @ SY47 @ SY48 @ SY49 )
| ! [SY50: $i] :
( ~ ( in_closed @ SY50 @ SV2 @ SY47 )
| ( in_closed @ SY50 @ SY48 @ SY49 ) ) )
| ~ ( ~ ! [SY51: $i] :
( ~ ( in_closed @ SY51 @ SV2 @ SY47 )
| ( in_closed @ SY51 @ SY48 @ SY49 ) )
| ( axis_subsumes @ SV2 @ SY47 @ SY48 @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(81,plain,
! [SV3: $i] :
( ( ! [SY52: $i,SY53: $i,SY54: $i,SY55: $i,SY56: $i] :
~ ( ~ ( ~ ( in_box2 @ SV3 @ SY52 @ SY53 @ SY54 @ SY55 @ SY56 )
| ~ ( ~ ( in_closed @ SV3 @ SY53 @ SY54 )
| ~ ( in_closed @ SY52 @ SY55 @ SY56 ) ) )
| ~ ( ~ ~ ( ~ ( in_closed @ SV3 @ SY53 @ SY54 )
| ~ ( in_closed @ SY52 @ SY55 @ SY56 ) )
| ( in_box2 @ SV3 @ SY52 @ SY53 @ SY54 @ SY55 @ SY56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(82,plain,
! [SV4: $i] :
( ( ! [SY57: $i,SY58: $i] :
~ ( ~ ( ~ ( in_closed @ SV4 @ SY57 @ SY58 )
| ~ ( ~ ( leq @ SY57 @ SV4 )
| ~ ( leq @ SV4 @ SY58 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SY57 @ SV4 )
| ~ ( leq @ SV4 @ SY58 ) )
| ( in_closed @ SV4 @ SY57 @ SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(83,plain,
! [SV5: $i] :
( ( ! [SY59: $i] :
~ ( ~ ( ~ ( in_closed @ SV5 @ SY59 @ SY59 )
| ( SV5 = SY59 ) )
| ~ ( ( SV5 != SY59 )
| ( in_closed @ SV5 @ SY59 @ SY59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(84,plain,
! [SV6: $i] :
( ( ! [SY60: $i,SY61: $i,SY62: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV6 @ SY60 @ SY61 @ SY62 )
| ~ ! [SY63: $i] :
~ ~ ( ~ ( in_closed @ SY63 @ SV6 @ SY60 )
| ~ ( in_closed @ SY63 @ SY61 @ SY62 ) ) )
| ~ ( ~ ~ ! [SY64: $i] :
~ ~ ( ~ ( in_closed @ SY64 @ SV6 @ SY60 )
| ~ ( in_closed @ SY64 @ SY61 @ SY62 ) )
| ( axis_compatible @ SV6 @ SY60 @ SY61 @ SY62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(85,plain,
! [SV7: $i] :
( ( ! [SY65: $i,SY66: $i] :
~ ( ~ ( ~ ( in_closed @ SV7 @ SY65 @ SY66 )
| ~ ( ~ ( leq @ SY65 @ SV7 )
| ~ ( leq @ SV7 @ SY66 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SY65 @ SV7 )
| ~ ( leq @ SV7 @ SY66 ) )
| ( in_closed @ SV7 @ SY65 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(86,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( in_closed @ SX0 @ n0 @ n5 )
| ~ ( in_closed @ SX0 @ n10 @ n15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(87,plain,
! [SV8: $i] :
( ( ! [SY67: $i,SY68: $i,SY69: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV8 @ SY67 @ SY68 @ SY69 )
| ~ ~ ! [SY70: $i] :
~ ~ ( ~ ( in_closed @ SY70 @ SV8 @ SY67 )
| ~ ( in_closed @ SY70 @ SY68 @ SY69 ) ) )
| ~ ( ~ ~ ~ ! [SY71: $i] :
~ ~ ( ~ ( in_closed @ SY71 @ SV8 @ SY67 )
| ~ ( in_closed @ SY71 @ SY68 @ SY69 ) )
| ( axis_conflict @ SV8 @ SY67 @ SY68 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(88,plain,
! [SV9: $i,SV1: $i] :
( ( ! [SY72: $i,SY73: $i,SY74: $i,SY75: $i,SY76: $i,SY77: $i,SY78: $i] :
~ ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SY72 @ SY73 @ SY74 @ SY75 @ SY76 @ SY77 @ SY78 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SY73 @ SY74 )
| ~ ( in_closed @ SV9 @ SY75 @ SY76 ) )
| ~ ( in_closed @ SY72 @ SY77 @ SY78 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SY73 @ SY74 )
| ~ ( in_closed @ SV9 @ SY75 @ SY76 ) )
| ~ ( in_closed @ SY72 @ SY77 @ SY78 ) )
| ( in_box3 @ SV1 @ SV9 @ SY72 @ SY73 @ SY74 @ SY75 @ SY76 @ SY77 @ SY78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(89,plain,
! [SV10: $i,SV2: $i] :
( ( ! [SY79: $i,SY80: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV2 @ SV10 @ SY79 @ SY80 )
| ! [SY81: $i] :
( ~ ( in_closed @ SY81 @ SV2 @ SV10 )
| ( in_closed @ SY81 @ SY79 @ SY80 ) ) )
| ~ ( ~ ! [SY82: $i] :
( ~ ( in_closed @ SY82 @ SV2 @ SV10 )
| ( in_closed @ SY82 @ SY79 @ SY80 ) )
| ( axis_subsumes @ SV2 @ SV10 @ SY79 @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV11: $i,SV3: $i] :
( ( ! [SY83: $i,SY84: $i,SY85: $i,SY86: $i] :
~ ( ~ ( ~ ( in_box2 @ SV3 @ SV11 @ SY83 @ SY84 @ SY85 @ SY86 )
| ~ ( ~ ( in_closed @ SV3 @ SY83 @ SY84 )
| ~ ( in_closed @ SV11 @ SY85 @ SY86 ) ) )
| ~ ( ~ ~ ( ~ ( in_closed @ SV3 @ SY83 @ SY84 )
| ~ ( in_closed @ SV11 @ SY85 @ SY86 ) )
| ( in_box2 @ SV3 @ SV11 @ SY83 @ SY84 @ SY85 @ SY86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(91,plain,
! [SV12: $i,SV4: $i] :
( ( ! [SY87: $i] :
~ ( ~ ( ~ ( in_closed @ SV4 @ SV12 @ SY87 )
| ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SY87 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SY87 ) )
| ( in_closed @ SV4 @ SV12 @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(92,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( in_closed @ SV5 @ SV13 @ SV13 )
| ( SV5 = SV13 ) )
| ~ ( ( SV5 != SV13 )
| ( in_closed @ SV5 @ SV13 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(93,plain,
! [SV14: $i,SV6: $i] :
( ( ! [SY88: $i,SY89: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV6 @ SV14 @ SY88 @ SY89 )
| ~ ! [SY90: $i] :
~ ~ ( ~ ( in_closed @ SY90 @ SV6 @ SV14 )
| ~ ( in_closed @ SY90 @ SY88 @ SY89 ) ) )
| ~ ( ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( in_closed @ SY91 @ SV6 @ SV14 )
| ~ ( in_closed @ SY91 @ SY88 @ SY89 ) )
| ( axis_compatible @ SV6 @ SV14 @ SY88 @ SY89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(94,plain,
! [SV15: $i,SV7: $i] :
( ( ! [SY92: $i] :
~ ( ~ ( ~ ( in_closed @ SV7 @ SV15 @ SY92 )
| ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SY92 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SY92 ) )
| ( in_closed @ SV7 @ SV15 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(95,plain,
( ( ~ ~ ( ~ ( in_closed @ sK1_SX0 @ n0 @ n5 )
| ~ ( in_closed @ sK1_SX0 @ n10 @ n15 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(96,plain,
! [SV16: $i,SV8: $i] :
( ( ! [SY93: $i,SY94: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV8 @ SV16 @ SY93 @ SY94 )
| ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( in_closed @ SY95 @ SV8 @ SV16 )
| ~ ( in_closed @ SY95 @ SY93 @ SY94 ) ) )
| ~ ( ~ ~ ~ ! [SY96: $i] :
~ ~ ( ~ ( in_closed @ SY96 @ SV8 @ SV16 )
| ~ ( in_closed @ SY96 @ SY93 @ SY94 ) )
| ( axis_conflict @ SV8 @ SV16 @ SY93 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(97,plain,
! [SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY97: $i,SY98: $i,SY99: $i,SY100: $i,SY101: $i,SY102: $i] :
~ ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SY97 @ SY98 @ SY99 @ SY100 @ SY101 @ SY102 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SY97 @ SY98 )
| ~ ( in_closed @ SV9 @ SY99 @ SY100 ) )
| ~ ( in_closed @ SV17 @ SY101 @ SY102 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SY97 @ SY98 )
| ~ ( in_closed @ SV9 @ SY99 @ SY100 ) )
| ~ ( in_closed @ SV17 @ SY101 @ SY102 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SY97 @ SY98 @ SY99 @ SY100 @ SY101 @ SY102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(98,plain,
! [SV18: $i,SV10: $i,SV2: $i] :
( ( ! [SY103: $i] :
~ ( ~ ( ~ ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SY103 )
| ! [SY104: $i] :
( ~ ( in_closed @ SY104 @ SV2 @ SV10 )
| ( in_closed @ SY104 @ SV18 @ SY103 ) ) )
| ~ ( ~ ! [SY105: $i] :
( ~ ( in_closed @ SY105 @ SV2 @ SV10 )
| ( in_closed @ SY105 @ SV18 @ SY103 ) )
| ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SY103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(99,plain,
! [SV19: $i,SV11: $i,SV3: $i] :
( ( ! [SY106: $i,SY107: $i,SY108: $i] :
~ ( ~ ( ~ ( in_box2 @ SV3 @ SV11 @ SV19 @ SY106 @ SY107 @ SY108 )
| ~ ( ~ ( in_closed @ SV3 @ SV19 @ SY106 )
| ~ ( in_closed @ SV11 @ SY107 @ SY108 ) ) )
| ~ ( ~ ~ ( ~ ( in_closed @ SV3 @ SV19 @ SY106 )
| ~ ( in_closed @ SV11 @ SY107 @ SY108 ) )
| ( in_box2 @ SV3 @ SV11 @ SV19 @ SY106 @ SY107 @ SY108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(100,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( in_closed @ SV4 @ SV12 @ SV20 )
| ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) )
| ( in_closed @ SV4 @ SV12 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( ~ ( in_closed @ SV5 @ SV13 @ SV13 )
| ( SV5 = SV13 ) )
| ~ ( ( SV5 != SV13 )
| ( in_closed @ SV5 @ SV13 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV21: $i,SV14: $i,SV6: $i] :
( ( ! [SY109: $i] :
~ ( ~ ( ~ ( axis_compatible @ SV6 @ SV14 @ SV21 @ SY109 )
| ~ ! [SY110: $i] :
~ ~ ( ~ ( in_closed @ SY110 @ SV6 @ SV14 )
| ~ ( in_closed @ SY110 @ SV21 @ SY109 ) ) )
| ~ ( ~ ~ ! [SY111: $i] :
~ ~ ( ~ ( in_closed @ SY111 @ SV6 @ SV14 )
| ~ ( in_closed @ SY111 @ SV21 @ SY109 ) )
| ( axis_compatible @ SV6 @ SV14 @ SV21 @ SY109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV22: $i,SV15: $i,SV7: $i] :
( ( ~ ( ~ ( ~ ( in_closed @ SV7 @ SV15 @ SV22 )
| ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) )
| ( in_closed @ SV7 @ SV15 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(104,plain,
( ( ~ ( ~ ( in_closed @ sK1_SX0 @ n0 @ n5 )
| ~ ( in_closed @ sK1_SX0 @ n10 @ n15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(105,plain,
! [SV23: $i,SV16: $i,SV8: $i] :
( ( ! [SY112: $i] :
~ ( ~ ( ~ ( axis_conflict @ SV8 @ SV16 @ SV23 @ SY112 )
| ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( in_closed @ SY113 @ SV8 @ SV16 )
| ~ ( in_closed @ SY113 @ SV23 @ SY112 ) ) )
| ~ ( ~ ~ ~ ! [SY114: $i] :
~ ~ ( ~ ( in_closed @ SY114 @ SV8 @ SV16 )
| ~ ( in_closed @ SY114 @ SV23 @ SY112 ) )
| ( axis_conflict @ SV8 @ SV16 @ SV23 @ SY112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY115: $i,SY116: $i,SY117: $i,SY118: $i,SY119: $i] :
~ ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SY115 @ SY116 @ SY117 @ SY118 @ SY119 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SY115 )
| ~ ( in_closed @ SV9 @ SY116 @ SY117 ) )
| ~ ( in_closed @ SV17 @ SY118 @ SY119 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SY115 )
| ~ ( in_closed @ SV9 @ SY116 @ SY117 ) )
| ~ ( in_closed @ SV17 @ SY118 @ SY119 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SY115 @ SY116 @ SY117 @ SY118 @ SY119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
| ! [SY120: $i] :
( ~ ( in_closed @ SY120 @ SV2 @ SV10 )
| ( in_closed @ SY120 @ SV18 @ SV25 ) ) )
| ~ ( ~ ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV2 @ SV10 )
| ( in_closed @ SY121 @ SV18 @ SV25 ) )
| ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(108,plain,
! [SV26: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ! [SY122: $i,SY123: $i] :
~ ( ~ ( ~ ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SY122 @ SY123 )
| ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SY122 @ SY123 ) ) )
| ~ ( ~ ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SY122 @ SY123 ) )
| ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SY122 @ SY123 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(109,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ~ ( ~ ( in_closed @ SV4 @ SV12 @ SV20 )
| ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) )
| ( in_closed @ SV4 @ SV12 @ SV20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(110,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( ~ ( in_closed @ SV5 @ SV13 @ SV13 )
| ( SV5 = SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(111,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( ( SV5 != SV13 )
| ( in_closed @ SV5 @ SV13 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(112,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ~ ( ~ ( ~ ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
| ~ ! [SY124: $i] :
~ ~ ( ~ ( in_closed @ SY124 @ SV6 @ SV14 )
| ~ ( in_closed @ SY124 @ SV21 @ SV27 ) ) )
| ~ ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV6 @ SV14 )
| ~ ( in_closed @ SY125 @ SV21 @ SV27 ) )
| ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV22: $i,SV15: $i,SV7: $i] :
( ( ~ ( ~ ( in_closed @ SV7 @ SV15 @ SV22 )
| ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) ) )
| ~ ( ~ ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) )
| ( in_closed @ SV7 @ SV15 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(114,plain,
( ( ~ ( in_closed @ sK1_SX0 @ n0 @ n5 )
| ~ ( in_closed @ sK1_SX0 @ n10 @ n15 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ~ ( ~ ( ~ ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
| ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV8 @ SV16 )
| ~ ( in_closed @ SY126 @ SV23 @ SV28 ) ) )
| ~ ( ~ ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( in_closed @ SY127 @ SV8 @ SV16 )
| ~ ( in_closed @ SY127 @ SV23 @ SV28 ) )
| ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(116,plain,
! [SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY128: $i,SY129: $i,SY130: $i,SY131: $i] :
~ ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SY128 @ SY129 @ SY130 @ SY131 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SY128 @ SY129 ) )
| ~ ( in_closed @ SV17 @ SY130 @ SY131 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SY128 @ SY129 ) )
| ~ ( in_closed @ SV17 @ SY130 @ SY131 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SY128 @ SY129 @ SY130 @ SY131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(117,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ~ ( ~ ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
| ! [SY120: $i] :
( ~ ( in_closed @ SY120 @ SV2 @ SV10 )
| ( in_closed @ SY120 @ SV18 @ SV25 ) ) )
| ~ ( ~ ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV2 @ SV10 )
| ( in_closed @ SY121 @ SV18 @ SV25 ) )
| ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(118,plain,
! [SV30: $i,SV26: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ! [SY132: $i] :
~ ( ~ ( ~ ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SY132 )
| ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SY132 ) ) )
| ~ ( ~ ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SY132 ) )
| ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SY132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(119,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ~ ( ~ ( in_closed @ SV4 @ SV12 @ SV20 )
| ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(120,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) )
| ( in_closed @ SV4 @ SV12 @ SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(121,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( in_closed @ SV5 @ SV13 @ SV13 )
| ( SV5 = SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(122,plain,
! [SV13: $i,SV5: $i] :
( ( ( SV5 != SV13 )
| ( in_closed @ SV5 @ SV13 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(123,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ~ ( ~ ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
| ~ ! [SY124: $i] :
~ ~ ( ~ ( in_closed @ SY124 @ SV6 @ SV14 )
| ~ ( in_closed @ SY124 @ SV21 @ SV27 ) ) )
| ~ ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV6 @ SV14 )
| ~ ( in_closed @ SY125 @ SV21 @ SV27 ) )
| ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(124,plain,
! [SV22: $i,SV15: $i,SV7: $i] :
( ( ~ ( ~ ( in_closed @ SV7 @ SV15 @ SV22 )
| ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(125,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) )
| ( in_closed @ SV7 @ SV15 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(126,plain,
( ( ~ ( in_closed @ sK1_SX0 @ n0 @ n5 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(127,plain,
( ( ~ ( in_closed @ sK1_SX0 @ n10 @ n15 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(128,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ~ ( ~ ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
| ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV8 @ SV16 )
| ~ ( in_closed @ SY126 @ SV23 @ SV28 ) ) )
| ~ ( ~ ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( in_closed @ SY127 @ SV8 @ SV16 )
| ~ ( in_closed @ SY127 @ SV23 @ SV28 ) )
| ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY133: $i,SY134: $i,SY135: $i] :
~ ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SY133 @ SY134 @ SY135 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SY133 ) )
| ~ ( in_closed @ SV17 @ SY134 @ SY135 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SY133 ) )
| ~ ( in_closed @ SV17 @ SY134 @ SY135 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SY133 @ SY134 @ SY135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ~ ( ~ ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
| ! [SY120: $i] :
( ~ ( in_closed @ SY120 @ SV2 @ SV10 )
| ( in_closed @ SY120 @ SV18 @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(131,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ~ ( ~ ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV2 @ SV10 )
| ( in_closed @ SY121 @ SV18 @ SV25 ) )
| ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(132,plain,
! [SV32: $i,SV30: $i,SV26: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
| ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
| ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(133,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ~ ( in_closed @ SV4 @ SV12 @ SV20 )
| ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(134,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ~ ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) )
| ( in_closed @ SV4 @ SV12 @ SV20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(135,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( in_closed @ SV5 @ SV13 @ SV13 ) )
= $true )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(136,plain,
! [SV13: $i,SV5: $i] :
( ( ( SV5 != SV13 )
= $true )
| ( ( in_closed @ SV5 @ SV13 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ~ ( ~ ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
| ~ ! [SY124: $i] :
~ ~ ( ~ ( in_closed @ SY124 @ SV6 @ SV14 )
| ~ ( in_closed @ SY124 @ SV21 @ SV27 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(138,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ~ ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV6 @ SV14 )
| ~ ( in_closed @ SY125 @ SV21 @ SV27 ) )
| ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(139,plain,
! [SV22: $i,SV15: $i,SV7: $i] :
( ( ~ ( in_closed @ SV7 @ SV15 @ SV22 )
| ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(140,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ~ ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) )
| ( in_closed @ SV7 @ SV15 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(141,plain,
( ( in_closed @ sK1_SX0 @ n0 @ n5 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(142,plain,
( ( in_closed @ sK1_SX0 @ n10 @ n15 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(143,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ~ ( ~ ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
| ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV8 @ SV16 )
| ~ ( in_closed @ SY126 @ SV23 @ SV28 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(144,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ~ ( ~ ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( in_closed @ SY127 @ SV8 @ SV16 )
| ~ ( in_closed @ SY127 @ SV23 @ SV28 ) )
| ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(145,plain,
! [SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY136: $i,SY137: $i] :
~ ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SY136 @ SY137 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SY136 @ SY137 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SY136 @ SY137 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SY136 @ SY137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(146,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ~ ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
| ! [SY120: $i] :
( ~ ( in_closed @ SY120 @ SV2 @ SV10 )
| ( in_closed @ SY120 @ SV18 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(147,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ~ ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV2 @ SV10 )
| ( in_closed @ SY121 @ SV18 @ SV25 ) )
| ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(148,plain,
! [SV32: $i,SV30: $i,SV26: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ~ ( ~ ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
| ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
| ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(149,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( in_closed @ SV4 @ SV12 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(150,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) ) )
= $true )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(151,plain,
! [SV13: $i,SV5: $i] :
( ( ( in_closed @ SV5 @ SV13 @ SV13 )
= $false )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(152,plain,
! [SV13: $i,SV5: $i] :
( ( ( SV5 = SV13 )
= $false )
| ( ( in_closed @ SV5 @ SV13 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ~ ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
| ~ ! [SY124: $i] :
~ ~ ( ~ ( in_closed @ SY124 @ SV6 @ SV14 )
| ~ ( in_closed @ SY124 @ SV21 @ SV27 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(154,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV6 @ SV14 )
| ~ ( in_closed @ SY125 @ SV21 @ SV27 ) )
| ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(155,plain,
! [SV22: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( in_closed @ SV7 @ SV15 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(156,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) ) )
= $true )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(157,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ~ ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
| ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV8 @ SV16 )
| ~ ( in_closed @ SY126 @ SV23 @ SV28 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(158,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ~ ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( in_closed @ SY127 @ SV8 @ SV16 )
| ~ ( in_closed @ SY127 @ SV23 @ SV28 ) )
| ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(159,plain,
! [SV34: $i,SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY138: $i] :
~ ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SY138 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SY138 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SY138 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SY138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(160,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 ) )
= $true )
| ( ( ! [SY120: $i] :
( ~ ( in_closed @ SY120 @ SV2 @ SV10 )
| ( in_closed @ SY120 @ SV18 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(161,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( ~ ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV2 @ SV10 )
| ( in_closed @ SY121 @ SV18 @ SV25 ) ) )
= $true )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(162,plain,
! [SV32: $i,SV30: $i,SV26: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ~ ( ~ ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
| ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(163,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ~ ( ~ ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
| ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(164,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $false )
| ( ( ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(165,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ( ~ ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) ) )
= $false )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(166,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ( ~ ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 ) )
= $true )
| ( ( ~ ! [SY124: $i] :
~ ~ ( ~ ( in_closed @ SY124 @ SV6 @ SV14 )
| ~ ( in_closed @ SY124 @ SV21 @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(167,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV6 @ SV14 )
| ~ ( in_closed @ SY125 @ SV21 @ SV27 ) ) )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(168,plain,
! [SV22: $i,SV15: $i,SV7: $i] :
( ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $false )
| ( ( ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(169,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ( ~ ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) ) )
= $false )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(170,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( ~ ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV8 @ SV16 )
| ~ ( in_closed @ SY126 @ SV23 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(171,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( ~ ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( in_closed @ SY127 @ SV8 @ SV16 )
| ~ ( in_closed @ SY127 @ SV23 @ SV28 ) ) )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(172,plain,
! [SV35: $i,SV34: $i,SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(173,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( in_closed @ SY120 @ SV2 @ SV10 )
| ( in_closed @ SY120 @ SV18 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(174,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV2 @ SV10 )
| ( in_closed @ SY121 @ SV18 @ SV25 ) ) )
= $false )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(175,plain,
! [SV32: $i,SV30: $i,SV26: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ~ ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
| ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(176,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ~ ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
| ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(177,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) )
= $false )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(178,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ( ~ ( leq @ SV12 @ SV4 )
| ~ ( leq @ SV4 @ SV20 ) )
= $true )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(179,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false )
| ( ( ~ ! [SY124: $i] :
~ ~ ( ~ ( in_closed @ SY124 @ SV6 @ SV14 )
| ~ ( in_closed @ SY124 @ SV21 @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(180,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ( ~ ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV6 @ SV14 )
| ~ ( in_closed @ SY125 @ SV21 @ SV27 ) ) )
= $false )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(181,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) )
= $false )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(182,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ( ~ ( leq @ SV15 @ SV7 )
| ~ ( leq @ SV7 @ SV22 ) )
= $true )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(183,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false )
| ( ( ~ ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV8 @ SV16 )
| ~ ( in_closed @ SY126 @ SV23 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(184,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( in_closed @ SY127 @ SV8 @ SV16 )
| ~ ( in_closed @ SY127 @ SV23 @ SV28 ) ) )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(185,plain,
! [SV35: $i,SV34: $i,SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(186,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i,SV36: $i] :
( ( ( ~ ( in_closed @ SV36 @ SV2 @ SV10 )
| ( in_closed @ SV36 @ SV18 @ SV25 ) )
= $true )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(187,plain,
! [SV2: $i,SV10: $i,SV18: $i,SV25: $i] :
( ( ( ~ ( in_closed @ ( sK2_SY121 @ SV25 @ SV18 @ SV10 @ SV2 ) @ SV2 @ SV10 )
| ( in_closed @ ( sK2_SY121 @ SV25 @ SV18 @ SV10 @ SV2 ) @ SV18 @ SV25 ) )
= $false )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[174]) ).
thf(188,plain,
! [SV32: $i,SV30: $i,SV26: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(189,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) ) )
= $true )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(190,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ( ~ ( leq @ SV12 @ SV4 ) )
= $false )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(191,plain,
! [SV12: $i,SV20: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV20 ) )
= $false )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(192,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ( ~ ( leq @ SV12 @ SV4 ) )
= $true )
| ( ( ~ ( leq @ SV4 @ SV20 ) )
= $true )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(193,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ( ! [SY124: $i] :
~ ~ ( ~ ( in_closed @ SY124 @ SV6 @ SV14 )
| ~ ( in_closed @ SY124 @ SV21 @ SV27 ) ) )
= $false )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(194,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i] :
( ( ( ! [SY125: $i] :
~ ~ ( ~ ( in_closed @ SY125 @ SV6 @ SV14 )
| ~ ( in_closed @ SY125 @ SV21 @ SV27 ) ) )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(195,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ( ~ ( leq @ SV15 @ SV7 ) )
= $false )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(196,plain,
! [SV15: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( leq @ SV7 @ SV22 ) )
= $false )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(197,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ( ~ ( leq @ SV15 @ SV7 ) )
= $true )
| ( ( ~ ( leq @ SV7 @ SV22 ) )
= $true )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(198,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( ~ ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV8 @ SV16 )
| ~ ( in_closed @ SY126 @ SV23 @ SV28 ) ) )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(199,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( ~ ! [SY127: $i] :
~ ~ ( ~ ( in_closed @ SY127 @ SV8 @ SV16 )
| ~ ( in_closed @ SY127 @ SV23 @ SV28 ) ) )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(200,plain,
! [SV35: $i,SV34: $i,SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ~ ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(201,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(202,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i,SV36: $i] :
( ( ( ~ ( in_closed @ SV36 @ SV2 @ SV10 ) )
= $true )
| ( ( in_closed @ SV36 @ SV18 @ SV25 )
= $true )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(203,plain,
! [SV2: $i,SV10: $i,SV18: $i,SV25: $i] :
( ( ( ~ ( in_closed @ ( sK2_SY121 @ SV25 @ SV18 @ SV10 @ SV2 ) @ SV2 @ SV10 ) )
= $false )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(204,plain,
! [SV2: $i,SV10: $i,SV18: $i,SV25: $i] :
( ( ( in_closed @ ( sK2_SY121 @ SV25 @ SV18 @ SV10 @ SV2 ) @ SV18 @ SV25 )
= $false )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(205,plain,
! [SV32: $i,SV30: $i,SV26: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $false )
| ( ( ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(206,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ( ~ ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) ) )
= $false )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(207,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ( leq @ SV12 @ SV4 )
= $true )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(208,plain,
! [SV12: $i,SV20: $i,SV4: $i] :
( ( ( leq @ SV4 @ SV20 )
= $true )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(209,plain,
! [SV20: $i,SV4: $i,SV12: $i] :
( ( ( leq @ SV12 @ SV4 )
= $false )
| ( ( ~ ( leq @ SV4 @ SV20 ) )
= $true )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(210,plain,
! [SV6: $i,SV14: $i,SV21: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV6 @ SV14 )
| ~ ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV21 @ SV27 ) ) )
= $false )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[193]) ).
thf(211,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV37 @ SV6 @ SV14 )
| ~ ( in_closed @ SV37 @ SV21 @ SV27 ) ) )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(212,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ( leq @ SV15 @ SV7 )
= $true )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(213,plain,
! [SV15: $i,SV22: $i,SV7: $i] :
( ( ( leq @ SV7 @ SV22 )
= $true )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(214,plain,
! [SV22: $i,SV7: $i,SV15: $i] :
( ( ( leq @ SV15 @ SV7 )
= $false )
| ( ( ~ ( leq @ SV7 @ SV22 ) )
= $true )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(215,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( ! [SY126: $i] :
~ ~ ( ~ ( in_closed @ SY126 @ SV8 @ SV16 )
| ~ ( in_closed @ SY126 @ SV23 @ SV28 ) ) )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(216,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( ! [SY127: $i] :
~ ~ ( ~ ( in_closed @ SY127 @ SV8 @ SV16 )
| ~ ( in_closed @ SY127 @ SV23 @ SV28 ) ) )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(217,plain,
! [SV35: $i,SV34: $i,SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
| ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(218,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
| ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(219,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV2: $i,SV36: $i] :
( ( ( in_closed @ SV36 @ SV2 @ SV10 )
= $false )
| ( ( in_closed @ SV36 @ SV18 @ SV25 )
= $true )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(220,plain,
! [SV2: $i,SV10: $i,SV18: $i,SV25: $i] :
( ( ( in_closed @ ( sK2_SY121 @ SV25 @ SV18 @ SV10 @ SV2 ) @ SV2 @ SV10 )
= $true )
| ( ( axis_subsumes @ SV2 @ SV10 @ SV18 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(221,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
= $false )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(222,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ( ~ ( in_closed @ SV3 @ SV19 @ SV26 )
| ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
= $true )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(223,plain,
! [SV12: $i,SV20: $i,SV4: $i] :
( ( ( leq @ SV4 @ SV20 )
= $false )
| ( ( leq @ SV12 @ SV4 )
= $false )
| ( ( in_closed @ SV4 @ SV12 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(224,plain,
! [SV6: $i,SV14: $i,SV21: $i,SV27: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV6 @ SV14 )
| ~ ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV21 @ SV27 ) ) )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(225,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i,SV37: $i] :
( ( ( ~ ( ~ ( in_closed @ SV37 @ SV6 @ SV14 )
| ~ ( in_closed @ SV37 @ SV21 @ SV27 ) ) )
= $false )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(226,plain,
! [SV15: $i,SV22: $i,SV7: $i] :
( ( ( leq @ SV7 @ SV22 )
= $false )
| ( ( leq @ SV15 @ SV7 )
= $false )
| ( ( in_closed @ SV7 @ SV15 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(227,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV38 @ SV8 @ SV16 )
| ~ ( in_closed @ SV38 @ SV23 @ SV28 ) ) )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(228,plain,
! [SV8: $i,SV16: $i,SV23: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV8 @ SV16 )
| ~ ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV23 @ SV28 ) ) )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[216]) ).
thf(229,plain,
! [SV35: $i,SV34: $i,SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ( ~ ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(230,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(231,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ( ~ ( in_closed @ SV3 @ SV19 @ SV26 ) )
= $false )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(232,plain,
! [SV26: $i,SV19: $i,SV3: $i,SV32: $i,SV30: $i,SV11: $i] :
( ( ( ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
= $false )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(233,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ( ~ ( in_closed @ SV3 @ SV19 @ SV26 ) )
= $true )
| ( ( ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
= $true )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(234,plain,
! [SV6: $i,SV14: $i,SV21: $i,SV27: $i] :
( ( ( ~ ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV6 @ SV14 )
| ~ ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV21 @ SV27 ) )
= $false )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(235,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i,SV37: $i] :
( ( ( ~ ( in_closed @ SV37 @ SV6 @ SV14 )
| ~ ( in_closed @ SV37 @ SV21 @ SV27 ) )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(236,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i,SV38: $i] :
( ( ( ~ ( ~ ( in_closed @ SV38 @ SV8 @ SV16 )
| ~ ( in_closed @ SV38 @ SV23 @ SV28 ) ) )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(237,plain,
! [SV8: $i,SV16: $i,SV23: $i,SV28: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV8 @ SV16 )
| ~ ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV23 @ SV28 ) ) )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(238,plain,
! [SV35: $i,SV34: $i,SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) ) )
= $false )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(240,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ( in_closed @ SV3 @ SV19 @ SV26 )
= $true )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(241,plain,
! [SV26: $i,SV19: $i,SV3: $i,SV32: $i,SV30: $i,SV11: $i] :
( ( ( in_closed @ SV11 @ SV30 @ SV32 )
= $true )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(242,plain,
! [SV32: $i,SV30: $i,SV11: $i,SV26: $i,SV19: $i,SV3: $i] :
( ( ( in_closed @ SV3 @ SV19 @ SV26 )
= $false )
| ( ( ~ ( in_closed @ SV11 @ SV30 @ SV32 ) )
= $true )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(243,plain,
! [SV6: $i,SV14: $i,SV21: $i,SV27: $i] :
( ( ( ~ ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV6 @ SV14 ) )
= $false )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(244,plain,
! [SV6: $i,SV14: $i,SV21: $i,SV27: $i] :
( ( ( ~ ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV21 @ SV27 ) )
= $false )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(245,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i,SV37: $i] :
( ( ( ~ ( in_closed @ SV37 @ SV6 @ SV14 ) )
= $true )
| ( ( ~ ( in_closed @ SV37 @ SV21 @ SV27 ) )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(246,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i,SV38: $i] :
( ( ( ~ ( in_closed @ SV38 @ SV8 @ SV16 )
| ~ ( in_closed @ SV38 @ SV23 @ SV28 ) )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(247,plain,
! [SV8: $i,SV16: $i,SV23: $i,SV28: $i] :
( ( ( ~ ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV8 @ SV16 )
| ~ ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV23 @ SV28 ) )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(248,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $false )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(249,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
| ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(250,plain,
! [SV26: $i,SV19: $i,SV3: $i,SV32: $i,SV30: $i,SV11: $i] :
( ( ( in_closed @ SV11 @ SV30 @ SV32 )
= $false )
| ( ( in_closed @ SV3 @ SV19 @ SV26 )
= $false )
| ( ( in_box2 @ SV3 @ SV11 @ SV19 @ SV26 @ SV30 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(251,plain,
! [SV6: $i,SV14: $i,SV21: $i,SV27: $i] :
( ( ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV6 @ SV14 )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(252,plain,
! [SV6: $i,SV14: $i,SV21: $i,SV27: $i] :
( ( ( in_closed @ ( sK3_SY124 @ SV27 @ SV21 @ SV14 @ SV6 ) @ SV21 @ SV27 )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(253,plain,
! [SV27: $i,SV21: $i,SV14: $i,SV6: $i,SV37: $i] :
( ( ( in_closed @ SV37 @ SV6 @ SV14 )
= $false )
| ( ( ~ ( in_closed @ SV37 @ SV21 @ SV27 ) )
= $true )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(254,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i,SV38: $i] :
( ( ( ~ ( in_closed @ SV38 @ SV8 @ SV16 ) )
= $true )
| ( ( ~ ( in_closed @ SV38 @ SV23 @ SV28 ) )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(255,plain,
! [SV8: $i,SV16: $i,SV23: $i,SV28: $i] :
( ( ( ~ ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV8 @ SV16 ) )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(256,plain,
! [SV8: $i,SV16: $i,SV23: $i,SV28: $i] :
( ( ( ~ ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV23 @ SV28 ) )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(257,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) ) )
= $false )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(258,plain,
! [SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV9: $i,SV1: $i,SV35: $i,SV34: $i,SV17: $i] :
( ( ( ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $false )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(259,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) ) )
= $true )
| ( ( ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(260,plain,
! [SV14: $i,SV6: $i,SV27: $i,SV21: $i,SV37: $i] :
( ( ( in_closed @ SV37 @ SV21 @ SV27 )
= $false )
| ( ( in_closed @ SV37 @ SV6 @ SV14 )
= $false )
| ( ( axis_compatible @ SV6 @ SV14 @ SV21 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(261,plain,
! [SV28: $i,SV23: $i,SV16: $i,SV8: $i,SV38: $i] :
( ( ( in_closed @ SV38 @ SV8 @ SV16 )
= $false )
| ( ( ~ ( in_closed @ SV38 @ SV23 @ SV28 ) )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(262,plain,
! [SV8: $i,SV16: $i,SV23: $i,SV28: $i] :
( ( ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV8 @ SV16 )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(263,plain,
! [SV8: $i,SV16: $i,SV23: $i,SV28: $i] :
( ( ( in_closed @ ( sK4_SY127 @ SV28 @ SV23 @ SV16 @ SV8 ) @ SV23 @ SV28 )
= $true )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(264,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(265,plain,
! [SV33: $i,SV31: $i,SV29: $i,SV24: $i,SV9: $i,SV1: $i,SV35: $i,SV34: $i,SV17: $i] :
( ( ( in_closed @ SV17 @ SV34 @ SV35 )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(266,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) ) )
= $false )
| ( ( ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(267,plain,
! [SV16: $i,SV8: $i,SV28: $i,SV23: $i,SV38: $i] :
( ( ( in_closed @ SV38 @ SV23 @ SV28 )
= $false )
| ( ( in_closed @ SV38 @ SV8 @ SV16 )
= $false )
| ( ( axis_conflict @ SV8 @ SV16 @ SV23 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(268,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
= $false )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(269,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ( in_closed @ SV1 @ SV24 @ SV29 )
| ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
= $true )
| ( ( ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(270,plain,
! [SV35: $i,SV34: $i,SV33: $i,SV31: $i,SV17: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ( in_closed @ SV1 @ SV24 @ SV29 ) )
= $false )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(271,plain,
! [SV35: $i,SV34: $i,SV29: $i,SV24: $i,SV17: $i,SV1: $i,SV33: $i,SV31: $i,SV9: $i] :
( ( ( ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
= $false )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(272,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( ~ ( in_closed @ SV1 @ SV24 @ SV29 ) )
= $true )
| ( ( ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
= $true )
| ( ( ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(273,plain,
! [SV35: $i,SV34: $i,SV33: $i,SV31: $i,SV17: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( in_closed @ SV1 @ SV24 @ SV29 )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(274,plain,
! [SV35: $i,SV34: $i,SV29: $i,SV24: $i,SV17: $i,SV1: $i,SV33: $i,SV31: $i,SV9: $i] :
( ( ( in_closed @ SV9 @ SV31 @ SV33 )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(275,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i] :
( ( ( in_closed @ SV1 @ SV24 @ SV29 )
= $false )
| ( ( ~ ( in_closed @ SV9 @ SV31 @ SV33 ) )
= $true )
| ( ( ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(276,plain,
! [SV35: $i,SV34: $i,SV17: $i,SV29: $i,SV24: $i,SV1: $i,SV33: $i,SV31: $i,SV9: $i] :
( ( ( in_closed @ SV9 @ SV31 @ SV33 )
= $false )
| ( ( in_closed @ SV1 @ SV24 @ SV29 )
= $false )
| ( ( ~ ( in_closed @ SV17 @ SV34 @ SV35 ) )
= $true )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(277,plain,
! [SV33: $i,SV31: $i,SV9: $i,SV29: $i,SV24: $i,SV1: $i,SV35: $i,SV34: $i,SV17: $i] :
( ( ( in_closed @ SV17 @ SV34 @ SV35 )
= $false )
| ( ( in_closed @ SV1 @ SV24 @ SV29 )
= $false )
| ( ( in_closed @ SV9 @ SV31 @ SV33 )
= $false )
| ( ( in_box3 @ SV1 @ SV9 @ SV17 @ SV24 @ SV29 @ SV31 @ SV33 @ SV34 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(278,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[57,277,274,273,267,265,263,262,260,252,251,250,241,240,226,223,220,219,213,212,208,207,204,152,151,142,141,60,59,58]) ).
thf(279,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.19 % Computer : n002.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Oct 6 12:46:42 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.36
% 0.56/0.36 No.of.Axioms: 12
% 0.56/0.36
% 0.56/0.36 Length.of.Defs: 0
% 0.56/0.36
% 0.56/0.36 Contains.Choice.Funs: false
% 0.56/0.36 ...........
% 0.56/0.36
% 0.56/0.36 ********************************
% 0.56/0.36 * All subproblems solved! *
% 0.56/0.36 ********************************
% 0.56/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:12,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:278,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.56/0.36
% 0.56/0.36 %**** Beginning of derivation protocol ****
% 0.56/0.36 % SZS output start CNFRefutation
% See solution above
% 0.56/0.36
% 0.56/0.36 %**** End of derivation protocol ****
% 0.56/0.36 %**** no. of clauses in derivation: 251 ****
% 0.56/0.36 %**** clause counter: 278 ****
% 0.56/0.36
% 0.56/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:12,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:278,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------