%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT089+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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:50 AM UTC 2026
% Result : Theorem 1.40s 0.55s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 48
% Syntax : Number of formulae : 588 ( 386 unt; 0 typ; 0 def)
% Number of atoms : 3588 (1230 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 7106 (1164 ~;1168 |; 90 &;4632 @)
% ( 26 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 13 con; 0-8 aty)
% Number of variables : 1846 ( 0 ^;1842 !; 4 ?;1846 :)
% 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_c,type,
c: $i ).
thf(tp_compatible,type,
compatible: $i ).
thf(tp_conflict,type,
conflict: $i ).
thf(tp_disjoint,type,
disjoint: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_eq,type,
eq: $i ).
thf(tp_gt,type,
gt: $i ).
thf(tp_gteq,type,
gteq: $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_ep_type,type,
is_ep_type: $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_lower_tag,type,
lower_tag: $i > $i > $o ).
thf(tp_lt,type,
lt: $i ).
thf(tp_lteq,type,
lteq: $i ).
thf(tp_o,type,
o: $i ).
thf(tp_prec,type,
prec: $i > $i > $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i > $i > $i > $i > $i ).
thf(tp_sK2_X,type,
sK2_X: $i > $i > $i > $i > $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i > $i > $i > $i ).
thf(tp_unknown,type,
unknown: $i ).
thf(tp_upper_tag,type,
upper_tag: $i > $i > $o ).
thf(tp_v5,type,
v5: $i ).
thf(tp_val,type,
val: $i > $o ).
thf(1,axiom,
val @ v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v5) ).
thf(2,axiom,
upper_tag @ gt @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_tag_gt) ).
thf(3,axiom,
upper_tag @ lt @ o,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_tag_lt) ).
thf(4,axiom,
upper_tag @ gteq @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_tag_gteq) ).
thf(5,axiom,
upper_tag @ lteq @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_tag_lteq) ).
thf(6,axiom,
upper_tag @ eq @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_tag_eq) ).
thf(7,axiom,
lower_tag @ gt @ o,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_tag_gt) ).
thf(8,axiom,
lower_tag @ lt @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_tag_lt) ).
thf(9,axiom,
lower_tag @ gteq @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_tag_gteq) ).
thf(10,axiom,
lower_tag @ lteq @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_tag_lteq) ).
thf(11,axiom,
lower_tag @ eq @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_tag_eq) ).
thf(12,axiom,
! [L1: $i,U1: $i,CL1: $i,CU1: $i,L2: $i,U2: $i,CL2: $i,CU2: $i] :
( ( disjoint @ L1 @ U1 @ CL1 @ CU1 @ L2 @ U2 @ CL2 @ CU2 )
<=> ( ( prec @ U1 @ L2 @ CU1 @ CL2 )
| ( prec @ U2 @ L1 @ CU2 @ CL1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_def) ).
thf(13,axiom,
! [U: $i,L: $i] :
( ( prec @ U @ L @ o @ o )
<=> ( leq @ U @ L ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prec_oo) ).
thf(14,axiom,
! [U: $i,L: $i] :
( ( prec @ U @ L @ c @ o )
<=> ( leq @ U @ L ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prec_co) ).
thf(15,axiom,
! [U: $i,L: $i] :
( ( prec @ U @ L @ o @ c )
<=> ( leq @ U @ L ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prec_oc) ).
thf(16,axiom,
! [U: $i,L: $i] :
( ( prec @ U @ L @ c @ c )
<=> ( less @ U @ L ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prec_cc) ).
thf(17,axiom,
! [T: $i] :
( ( is_ep_type @ T )
=> ( ( T = c )
| ( T = o ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ep_type_enum) ).
thf(18,axiom,
c != o,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ep_types_distinct) ).
thf(19,axiom,
is_ep_type @ o,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ep_o_is_ep) ).
thf(20,axiom,
is_ep_type @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ep_c_is_ep) ).
thf(21,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 ) )
=> ( ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',box_verdict_total) ).
thf(22,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = unknown )
| ( V2 = unknown ) )
& ( V1 != conflict )
& ( V2 != conflict ) )
=> ( ( box_verdict @ V1 @ V2 )
= unknown ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',box_unknown) ).
thf(23,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( V1 = compatible )
& ( V2 = compatible ) )
=> ( ( box_verdict @ V1 @ V2 )
= compatible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',box_compatible) ).
thf(24,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = conflict )
| ( V2 = conflict ) ) )
=> ( ( box_verdict @ V1 @ V2 )
= conflict ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',box_conflict) ).
thf(25,axiom,
! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdict_enum) ).
thf(26,axiom,
compatible != unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
thf(27,axiom,
conflict != unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
thf(28,axiom,
conflict != compatible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
thf(29,axiom,
is_verdict @ unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown_is_verdict) ).
thf(30,axiom,
is_verdict @ compatible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible_is_verdict) ).
thf(31,axiom,
is_verdict @ conflict,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conflict_is_verdict) ).
thf(32,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/sandbox/benchmark/theBenchmark.p',axis_subsumes_def) ).
thf(33,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/sandbox/benchmark/theBenchmark.p',axis_compatible_def) ).
thf(34,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/sandbox/benchmark/theBenchmark.p',axis_conflict_def) ).
thf(35,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_open) ).
thf(36,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_ropen) ).
thf(37,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_lopen) ).
thf(38,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_closed) ).
thf(39,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_trans) ).
thf(40,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_leq_trans) ).
thf(41,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_less_trans) ).
thf(42,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_implies_leq) ).
thf(43,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_antisym) ).
thf(44,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_def) ).
thf(45,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trichotomy) ).
thf(46,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive) ).
thf(47,axiom,
! [X: $i] :
~ ( less @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive) ).
thf(48,conjecture,
prec @ v5 @ v5 @ o @ o,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl604) ).
thf(49,negated_conjecture,
( ( prec @ v5 @ v5 @ o @ o )
= $false ),
inference(negate_conjecture,[status(cth)],[48]) ).
thf(50,plain,
( ( prec @ v5 @ v5 @ o @ o )
= $false ),
inference(unfold_def,[status(thm)],[49]) ).
thf(51,plain,
( ( val @ v5 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(52,plain,
( ( upper_tag @ gt @ c )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(53,plain,
( ( upper_tag @ lt @ o )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(54,plain,
( ( upper_tag @ gteq @ c )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(55,plain,
( ( upper_tag @ lteq @ c )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(56,plain,
( ( upper_tag @ eq @ c )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(57,plain,
( ( lower_tag @ gt @ o )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(58,plain,
( ( lower_tag @ lt @ c )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(59,plain,
( ( lower_tag @ gteq @ c )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(60,plain,
( ( lower_tag @ lteq @ c )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(61,plain,
( ( lower_tag @ eq @ c )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(62,plain,
( ( ! [L1: $i,U1: $i,CL1: $i,CU1: $i,L2: $i,U2: $i,CL2: $i,CU2: $i] :
( ( disjoint @ L1 @ U1 @ CL1 @ CU1 @ L2 @ U2 @ CL2 @ CU2 )
<=> ( ( prec @ U1 @ L2 @ CU1 @ CL2 )
| ( prec @ U2 @ L1 @ CU2 @ CL1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(63,plain,
( ( ! [U: $i,L: $i] :
( ( prec @ U @ L @ o @ o )
<=> ( leq @ U @ L ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(64,plain,
( ( ! [U: $i,L: $i] :
( ( prec @ U @ L @ c @ o )
<=> ( leq @ U @ L ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(65,plain,
( ( ! [U: $i,L: $i] :
( ( prec @ U @ L @ o @ c )
<=> ( leq @ U @ L ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(66,plain,
( ( ! [U: $i,L: $i] :
( ( prec @ U @ L @ c @ c )
<=> ( less @ U @ L ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(67,plain,
( ( ! [T: $i] :
( ( is_ep_type @ T )
=> ( ( T = c )
| ( T = o ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(68,plain,
( ( c != o )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(69,plain,
( ( is_ep_type @ o )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(70,plain,
( ( is_ep_type @ c )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(71,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 ) )
=> ( ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(72,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = unknown )
| ( V2 = unknown ) )
& ( V1 != conflict )
& ( V2 != conflict ) )
=> ( ( box_verdict @ V1 @ V2 )
= unknown ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(73,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( V1 = compatible )
& ( V2 = compatible ) )
=> ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(74,plain,
( ( ! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = conflict )
| ( V2 = conflict ) ) )
=> ( ( box_verdict @ V1 @ V2 )
= conflict ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(75,plain,
( ( ! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(76,plain,
( ( compatible != unknown )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(77,plain,
( ( conflict != unknown )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(78,plain,
( ( conflict != compatible )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(79,plain,
( ( is_verdict @ unknown )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(80,plain,
( ( is_verdict @ compatible )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(81,plain,
( ( is_verdict @ conflict )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(82,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)],[32]) ).
thf(83,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)],[33]) ).
thf(84,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)],[34]) ).
thf(85,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(86,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(87,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(88,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(89,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(90,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(91,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(92,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(93,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(95,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(96,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(97,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(98,plain,
( ( ~ ( prec @ v5 @ v5 @ o @ o ) )
= $true ),
inference(polarity_switch,[status(thm)],[50]) ).
thf(99,plain,
( ( ! [L1: $i,U1: $i,CL1: $i,CU1: $i,L2: $i,U2: $i] :
( ! [CL2: $i,CU2: $i] :
( ~ ( disjoint @ L1 @ U1 @ CL1 @ CU1 @ L2 @ U2 @ CL2 @ CU2 )
| ( prec @ U1 @ L2 @ CU1 @ CL2 )
| ( prec @ U2 @ L1 @ CU2 @ CL1 ) )
& ! [CL2: $i] :
( ~ ( prec @ U1 @ L2 @ CU1 @ CL2 )
| ! [CU2: $i] : ( disjoint @ L1 @ U1 @ CL1 @ CU1 @ L2 @ U2 @ CL2 @ CU2 ) )
& ! [CL2: $i,CU2: $i] :
( ~ ( prec @ U2 @ L1 @ CU2 @ CL1 )
| ( disjoint @ L1 @ U1 @ CL1 @ CU1 @ L2 @ U2 @ CL2 @ CU2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(100,plain,
( ( ! [U: $i,L: $i] :
( ~ ( leq @ U @ L )
| ( prec @ U @ L @ o @ o ) )
& ! [U: $i,L: $i] :
( ~ ( prec @ U @ L @ o @ o )
| ( leq @ U @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(101,plain,
( ( ! [U: $i,L: $i] :
( ~ ( leq @ U @ L )
| ( prec @ U @ L @ c @ o ) )
& ! [U: $i,L: $i] :
( ~ ( prec @ U @ L @ c @ o )
| ( leq @ U @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(102,plain,
( ( ! [U: $i,L: $i] :
( ~ ( leq @ U @ L )
| ( prec @ U @ L @ o @ c ) )
& ! [U: $i,L: $i] :
( ~ ( prec @ U @ L @ o @ c )
| ( leq @ U @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(103,plain,
( ( ! [U: $i,L: $i] :
( ~ ( less @ U @ L )
| ( prec @ U @ L @ c @ c ) )
& ! [U: $i,L: $i] :
( ~ ( prec @ U @ L @ c @ c )
| ( less @ U @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(104,plain,
( ( ! [T: $i] :
( ~ ( is_ep_type @ T )
| ( T = c )
| ( T = o ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(105,plain,
( ( c != o )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(106,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( ( box_verdict @ V1 @ V2 )
= unknown )
| ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(107,plain,
( ( ! [V1: $i,V2: $i] :
( ( V2 = conflict )
| ( V1 = conflict )
| ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != unknown )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) )
& ! [V1: $i,V2: $i] :
( ( V2 = conflict )
| ( V1 = conflict )
| ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V2 != unknown )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(108,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != compatible )
| ( V2 != compatible )
| ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(109,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != conflict )
| ( ( box_verdict @ V1 @ V2 )
= conflict ) )
& ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V2 != conflict )
| ( ( box_verdict @ V1 @ V2 )
= conflict ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(110,plain,
( ( ! [V: $i] :
( ~ ( is_verdict @ V )
| ( V = unknown )
| ( V = conflict )
| ( V = compatible ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(111,plain,
( ( compatible != unknown )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(112,plain,
( ( conflict != unknown )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(113,plain,
( ( conflict != compatible )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(114,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK1_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ~ ( in_closed @ ( sK1_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi ) )
& ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi )
| ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ( in_closed @ X @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(115,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ~ ( in_closed @ X @ I2lo @ I2hi ) )
| ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi ) )
& ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi )
| ( ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(116,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi )
| ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ~ ( in_closed @ X @ I2lo @ I2hi ) ) )
& ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(117,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( less @ A @ X )
| ~ ( less @ X @ B )
| ( in_open @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_open @ X @ A @ B )
| ( less @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_open @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(118,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( less @ X @ B )
| ( in_ropen @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_ropen @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_ropen @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(119,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ X @ B )
| ~ ( less @ A @ X )
| ( in_lopen @ X @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( in_lopen @ X @ A @ B )
| ( leq @ X @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_lopen @ X @ A @ B )
| ( less @ A @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(120,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( leq @ X @ B )
| ( in_closed @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_closed @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_closed @ X @ A @ B )
| ( leq @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(121,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ Z )
| ( leq @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(122,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ Y @ Z )
| ~ ( less @ X @ Y )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(123,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(124,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(125,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(126,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ( X = Y )
| ( less @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( leq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(127,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ( X = Y )
| ( less @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(128,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(129,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(130,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(131,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ( X = Y )
| ( less @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(132,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ( X = Y )
| ( less @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( leq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(133,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(134,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(135,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(136,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ Y @ Z )
| ~ ( less @ X @ Y )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(137,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ Z )
| ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(138,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( leq @ X @ B )
| ( in_closed @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_closed @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_closed @ X @ A @ B )
| ( leq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(139,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ X @ B )
| ~ ( less @ A @ X )
| ( in_lopen @ X @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( in_lopen @ X @ A @ B )
| ( leq @ X @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_lopen @ X @ A @ B )
| ( less @ A @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(140,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( leq @ A @ X )
| ~ ( less @ X @ B )
| ( in_ropen @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_ropen @ X @ A @ B )
| ( leq @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_ropen @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(141,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( less @ A @ X )
| ~ ( less @ X @ B )
| ( in_open @ X @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( in_open @ X @ A @ B )
| ( less @ A @ X ) )
& ! [A: $i,B: $i] :
( ~ ( in_open @ X @ A @ B )
| ( less @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(142,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi )
| ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ~ ( in_closed @ X @ I2lo @ I2hi ) ) )
& ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(143,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ~ ( in_closed @ X @ I2lo @ I2hi ) )
| ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi ) )
& ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi )
| ( ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(144,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK1_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ~ ( in_closed @ ( sK1_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi ) )
& ! [I2lo: $i,I2hi: $i] :
( ~ ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi )
| ! [X: $i] :
( ~ ( in_closed @ X @ I1lo @ I1hi )
| ( in_closed @ X @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(145,plain,
( ( is_verdict @ conflict )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(146,plain,
( ( is_verdict @ compatible )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(147,plain,
( ( is_verdict @ unknown )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(148,plain,
( ( conflict != compatible )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(149,plain,
( ( conflict != unknown )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(150,plain,
( ( compatible != unknown )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(151,plain,
( ( ! [V: $i] :
( ~ ( is_verdict @ V )
| ( V = unknown )
| ( V = conflict )
| ( V = compatible ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(152,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != conflict )
| ( ( box_verdict @ V1 @ V2 )
= conflict ) )
& ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V2 != conflict )
| ( ( box_verdict @ V1 @ V2 )
= conflict ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(153,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != compatible )
| ( V2 != compatible )
| ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(154,plain,
( ( ! [V1: $i,V2: $i] :
( ( V2 = conflict )
| ( V1 = conflict )
| ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V1 != unknown )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) )
& ! [V1: $i,V2: $i] :
( ( V2 = conflict )
| ( V1 = conflict )
| ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( V2 != unknown )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(155,plain,
( ( ! [V1: $i,V2: $i] :
( ~ ( is_verdict @ V1 )
| ~ ( is_verdict @ V2 )
| ( ( box_verdict @ V1 @ V2 )
= unknown )
| ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(156,plain,
( ( is_ep_type @ c )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(157,plain,
( ( is_ep_type @ o )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(158,plain,
( ( c != o )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(159,plain,
( ( ! [T: $i] :
( ~ ( is_ep_type @ T )
| ( T = c )
| ( T = o ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(160,plain,
( ( ! [U: $i,L: $i] :
( ~ ( less @ U @ L )
| ( prec @ U @ L @ c @ c ) )
& ! [U: $i,L: $i] :
( ~ ( prec @ U @ L @ c @ c )
| ( less @ U @ L ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(161,plain,
( ( ! [U: $i,L: $i] :
( ~ ( leq @ U @ L )
| ( prec @ U @ L @ o @ c ) )
& ! [U: $i,L: $i] :
( ~ ( prec @ U @ L @ o @ c )
| ( leq @ U @ L ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(162,plain,
( ( ! [U: $i,L: $i] :
( ~ ( leq @ U @ L )
| ( prec @ U @ L @ c @ o ) )
& ! [U: $i,L: $i] :
( ~ ( prec @ U @ L @ c @ o )
| ( leq @ U @ L ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(163,plain,
( ( ! [U: $i,L: $i] :
( ~ ( leq @ U @ L )
| ( prec @ U @ L @ o @ o ) )
& ! [U: $i,L: $i] :
( ~ ( prec @ U @ L @ o @ o )
| ( leq @ U @ L ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(164,plain,
( ( ! [L1: $i,U1: $i,CL1: $i,CU1: $i,L2: $i,U2: $i] :
( ! [CL2: $i,CU2: $i] :
( ~ ( disjoint @ L1 @ U1 @ CL1 @ CU1 @ L2 @ U2 @ CL2 @ CU2 )
| ( prec @ U1 @ L2 @ CU1 @ CL2 )
| ( prec @ U2 @ L1 @ CU2 @ CL1 ) )
& ! [CL2: $i] :
( ~ ( prec @ U1 @ L2 @ CU1 @ CL2 )
| ! [CU2: $i] : ( disjoint @ L1 @ U1 @ CL1 @ CU1 @ L2 @ U2 @ CL2 @ CU2 ) )
& ! [CL2: $i,CU2: $i] :
( ~ ( prec @ U2 @ L1 @ CU2 @ CL1 )
| ( disjoint @ L1 @ U1 @ CL1 @ CU1 @ L2 @ U2 @ CL2 @ CU2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(165,plain,
( ( lower_tag @ eq @ c )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(166,plain,
( ( lower_tag @ lteq @ c )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(167,plain,
( ( lower_tag @ gteq @ c )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(168,plain,
( ( lower_tag @ lt @ c )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(169,plain,
( ( lower_tag @ gt @ o )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(170,plain,
( ( upper_tag @ eq @ c )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(171,plain,
( ( upper_tag @ lteq @ c )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(172,plain,
( ( upper_tag @ gteq @ c )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(173,plain,
( ( upper_tag @ lt @ o )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(174,plain,
( ( upper_tag @ gt @ c )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(175,plain,
( ( val @ v5 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(176,plain,
( ( ~ ( prec @ v5 @ v5 @ o @ o ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(177,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ o @ o ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ o @ o )
| ( leq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(178,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX0 @ SX2 )
| ~ ( less @ SX1 @ SX0 )
| ( in_lopen @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_lopen @ SX0 @ SX1 @ SX2 )
| ( leq @ SX0 @ SX2 ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_lopen @ SX0 @ SX1 @ SX2 )
| ( less @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(179,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX1 @ SX0 )
| ~ ( leq @ SX0 @ SX2 )
| ( in_closed @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_closed @ SX0 @ SX1 @ SX2 )
| ( leq @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_closed @ SX0 @ SX1 @ SX2 )
| ( leq @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(180,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(181,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(182,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ( ~ ! [SX6: $i,SX7: $i] :
( ~ ( disjoint @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( prec @ SX1 @ SX4 @ SX3 @ SX6 )
| ( prec @ SX5 @ SX0 @ SX7 @ SX2 ) )
| ~ ~ ( ~ ! [SX6: $i] :
( ~ ( prec @ SX1 @ SX4 @ SX3 @ SX6 )
| ! [SX7: $i] : ( disjoint @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( prec @ SX5 @ SX0 @ SX7 @ SX2 )
| ( disjoint @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(183,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ c @ o ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ c @ o )
| ( leq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(184,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ~ ( in_closed @ ( sK1_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) )
| ( axis_subsumes @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( axis_subsumes @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ( in_closed @ SX4 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(185,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( axis_conflict @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ~ ( in_closed @ SX4 @ SX2 @ SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( in_closed @ ( sK3_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) )
| ( axis_conflict @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(186,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ o @ c ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ o @ c )
| ( leq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(187,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ! [SX4: $i] :
( ~ ( in_closed @ SX4 @ SX0 @ SX1 )
| ~ ( in_closed @ SX4 @ SX2 @ SX3 ) )
| ( axis_compatible @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( axis_compatible @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( in_closed @ ( sK2_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(188,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( leq @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 )
| ( in_ropen @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_ropen @ SX0 @ SX1 @ SX2 )
| ( leq @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_ropen @ SX0 @ SX1 @ SX2 )
| ( less @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(189,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ c @ c ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ c @ c )
| ( less @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(190,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(191,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( less @ SX1 @ SX0 )
| ~ ( less @ SX0 @ SX2 )
| ( in_open @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( in_open @ SX0 @ SX1 @ SX2 )
| ( less @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in_open @ SX0 @ SX1 @ SX2 )
| ( less @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(192,plain,
! [SV1: $i] :
( ( ~ ( less @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(193,plain,
! [SV2: $i] :
( ( ! [SY74: $i,SY75: $i] :
( ~ ( less @ SV2 @ SY74 )
| ~ ( less @ SY74 @ SY75 )
| ( less @ SV2 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(194,plain,
! [SV3: $i] :
( ( ! [SY76: $i] :
( ( less @ SY76 @ SV3 )
| ( SV3 = SY76 )
| ( less @ SV3 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(195,plain,
! [SV4: $i] :
( ( ! [SY77: $i] :
( ~ ( leq @ SV4 @ SY77 )
| ~ ( leq @ SY77 @ SV4 )
| ( SV4 = SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(196,plain,
! [SV5: $i] :
( ( ! [SY78: $i] :
( ~ ( less @ SV5 @ SY78 )
| ( leq @ SV5 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(197,plain,
! [SV6: $i] :
( ( ! [SY79: $i,SY80: $i] :
( ~ ( leq @ SV6 @ SY79 )
| ~ ( less @ SY79 @ SY80 )
| ( less @ SV6 @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(198,plain,
! [SV7: $i] :
( ( ! [SY81: $i,SY82: $i] :
( ~ ( leq @ SY81 @ SY82 )
| ~ ( less @ SV7 @ SY81 )
| ( less @ SV7 @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(199,plain,
! [SV8: $i] :
( ( ! [SY83: $i,SY84: $i] :
( ~ ( leq @ SV8 @ SY83 )
| ~ ( leq @ SY83 @ SY84 )
| ( leq @ SV8 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(200,plain,
( ( conflict = compatible )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(201,plain,
( ( conflict = unknown )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(202,plain,
( ( compatible = unknown )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(203,plain,
! [SV9: $i] :
( ( ~ ( is_verdict @ SV9 )
| ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(204,plain,
! [SV10: $i] :
( ( ! [SY85: $i] :
( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SY85 )
| ( SV10 != compatible )
| ( SY85 != compatible )
| ( ( box_verdict @ SV10 @ SY85 )
= compatible ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(205,plain,
! [SV11: $i] :
( ( ! [SY86: $i] :
( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SY86 )
| ( ( box_verdict @ SV11 @ SY86 )
= unknown )
| ( ( box_verdict @ SV11 @ SY86 )
= conflict )
| ( ( box_verdict @ SV11 @ SY86 )
= compatible ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(206,plain,
( ( c = o )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(207,plain,
! [SV12: $i] :
( ( ~ ( is_ep_type @ SV12 )
| ( SV12 = c )
| ( SV12 = o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(208,plain,
( ( prec @ v5 @ v5 @ o @ o )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(209,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ o @ o ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ o @ o )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(210,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY87: $i,SY88: $i] :
( ~ ( leq @ SV13 @ SY88 )
| ~ ( less @ SY87 @ SV13 )
| ( in_lopen @ SV13 @ SY87 @ SY88 ) )
| ~ ~ ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( in_lopen @ SV13 @ SY89 @ SY90 )
| ( leq @ SV13 @ SY90 ) )
| ~ ! [SY91: $i] :
( ! [SY92: $i] :
~ ( in_lopen @ SV13 @ SY91 @ SY92 )
| ( less @ SY91 @ SV13 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(211,plain,
! [SV14: $i] :
( ( ~ ( ~ ! [SY93: $i,SY94: $i] :
( ~ ( leq @ SY93 @ SV14 )
| ~ ( leq @ SV14 @ SY94 )
| ( in_closed @ SV14 @ SY93 @ SY94 ) )
| ~ ~ ( ~ ! [SY95: $i] :
( ! [SY96: $i] :
~ ( in_closed @ SV14 @ SY95 @ SY96 )
| ( leq @ SY95 @ SV14 ) )
| ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_closed @ SV14 @ SY97 @ SY98 )
| ( leq @ SV14 @ SY98 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(212,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(213,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(214,plain,
! [SV15: $i] :
( ( ! [SY99: $i,SY100: $i,SY101: $i,SY102: $i,SY103: $i] :
~ ( ~ ! [SY104: $i,SY105: $i] :
( ~ ( disjoint @ SV15 @ SY99 @ SY100 @ SY101 @ SY102 @ SY103 @ SY104 @ SY105 )
| ( prec @ SY99 @ SY102 @ SY101 @ SY104 )
| ( prec @ SY103 @ SV15 @ SY105 @ SY100 ) )
| ~ ~ ( ~ ! [SY106: $i] :
( ~ ( prec @ SY99 @ SY102 @ SY101 @ SY106 )
| ! [SY107: $i] : ( disjoint @ SV15 @ SY99 @ SY100 @ SY101 @ SY102 @ SY103 @ SY106 @ SY107 ) )
| ~ ! [SY108: $i,SY109: $i] :
( ~ ( prec @ SY103 @ SV15 @ SY109 @ SY100 )
| ( disjoint @ SV15 @ SY99 @ SY100 @ SY101 @ SY102 @ SY103 @ SY108 @ SY109 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(215,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ c @ o ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ c @ o )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(216,plain,
! [SV16: $i] :
( ( ! [SY110: $i] :
~ ( ~ ! [SY111: $i,SY112: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY112 @ SY111 @ SY110 @ SV16 ) @ SV16 @ SY110 )
| ~ ~ ( in_closed @ ( sK1_X @ SY112 @ SY111 @ SY110 @ SV16 ) @ SY111 @ SY112 ) )
| ( axis_subsumes @ SV16 @ SY110 @ SY111 @ SY112 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ~ ( axis_subsumes @ SV16 @ SY110 @ SY113 @ SY114 )
| ! [SY115: $i] :
( ~ ( in_closed @ SY115 @ SV16 @ SY110 )
| ( in_closed @ SY115 @ SY113 @ SY114 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(217,plain,
! [SV17: $i] :
( ( ! [SY116: $i] :
~ ( ~ ! [SY117: $i,SY118: $i] :
( ~ ( axis_conflict @ SV17 @ SY116 @ SY117 @ SY118 )
| ! [SY119: $i] :
( ~ ( in_closed @ SY119 @ SV17 @ SY116 )
| ~ ( in_closed @ SY119 @ SY117 @ SY118 ) ) )
| ~ ! [SY120: $i,SY121: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY121 @ SY120 @ SY116 @ SV17 ) @ SV17 @ SY116 )
| ~ ( in_closed @ ( sK3_X @ SY121 @ SY120 @ SY116 @ SV17 ) @ SY120 @ SY121 ) )
| ( axis_conflict @ SV17 @ SY116 @ SY120 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(218,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ o @ c ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ o @ c )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(219,plain,
! [SV18: $i] :
( ( ! [SY122: $i] :
~ ( ~ ! [SY123: $i,SY124: $i] :
( ! [SY125: $i] :
( ~ ( in_closed @ SY125 @ SV18 @ SY122 )
| ~ ( in_closed @ SY125 @ SY123 @ SY124 ) )
| ( axis_compatible @ SV18 @ SY122 @ SY123 @ SY124 ) )
| ~ ! [SY126: $i,SY127: $i] :
( ~ ( axis_compatible @ SV18 @ SY122 @ SY126 @ SY127 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY127 @ SY126 @ SY122 @ SV18 ) @ SV18 @ SY122 )
| ~ ( in_closed @ ( sK2_X @ SY127 @ SY126 @ SY122 @ SV18 ) @ SY126 @ SY127 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(220,plain,
! [SV19: $i] :
( ( ~ ( ~ ! [SY128: $i,SY129: $i] :
( ~ ( leq @ SY128 @ SV19 )
| ~ ( less @ SV19 @ SY129 )
| ( in_ropen @ SV19 @ SY128 @ SY129 ) )
| ~ ~ ( ~ ! [SY130: $i] :
( ! [SY131: $i] :
~ ( in_ropen @ SV19 @ SY130 @ SY131 )
| ( leq @ SY130 @ SV19 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( in_ropen @ SV19 @ SY132 @ SY133 )
| ( less @ SV19 @ SY133 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(221,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ c @ c ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ c @ c )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(222,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(223,plain,
! [SV20: $i] :
( ( ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( less @ SY134 @ SV20 )
| ~ ( less @ SV20 @ SY135 )
| ( in_open @ SV20 @ SY134 @ SY135 ) )
| ~ ~ ( ~ ! [SY136: $i] :
( ! [SY137: $i] :
~ ( in_open @ SV20 @ SY136 @ SY137 )
| ( less @ SY136 @ SV20 ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( in_open @ SV20 @ SY138 @ SY139 )
| ( less @ SV20 @ SY139 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(224,plain,
! [SV1: $i] :
( ( less @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(225,plain,
! [SV21: $i,SV2: $i] :
( ( ! [SY140: $i] :
( ~ ( less @ SV2 @ SV21 )
| ~ ( less @ SV21 @ SY140 )
| ( less @ SV2 @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(226,plain,
! [SV3: $i,SV22: $i] :
( ( ( less @ SV22 @ SV3 )
| ( SV3 = SV22 )
| ( less @ SV3 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(227,plain,
! [SV23: $i,SV4: $i] :
( ( ~ ( leq @ SV4 @ SV23 )
| ~ ( leq @ SV23 @ SV4 )
| ( SV4 = SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(228,plain,
! [SV24: $i,SV5: $i] :
( ( ~ ( less @ SV5 @ SV24 )
| ( leq @ SV5 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(229,plain,
! [SV25: $i,SV6: $i] :
( ( ! [SY141: $i] :
( ~ ( leq @ SV6 @ SV25 )
| ~ ( less @ SV25 @ SY141 )
| ( less @ SV6 @ SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(230,plain,
! [SV7: $i,SV26: $i] :
( ( ! [SY142: $i] :
( ~ ( leq @ SV26 @ SY142 )
| ~ ( less @ SV7 @ SV26 )
| ( less @ SV7 @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(231,plain,
! [SV27: $i,SV8: $i] :
( ( ! [SY143: $i] :
( ~ ( leq @ SV8 @ SV27 )
| ~ ( leq @ SV27 @ SY143 )
| ( leq @ SV8 @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(232,plain,
! [SV9: $i] :
( ( ( ~ ( is_verdict @ SV9 ) )
= $true )
| ( ( ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(233,plain,
! [SV28: $i,SV10: $i] :
( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV28 )
| ( SV10 != compatible )
| ( SV28 != compatible )
| ( ( box_verdict @ SV10 @ SV28 )
= compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(234,plain,
! [SV29: $i,SV11: $i] :
( ( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SV29 )
| ( ( box_verdict @ SV11 @ SV29 )
= unknown )
| ( ( box_verdict @ SV11 @ SV29 )
= conflict )
| ( ( box_verdict @ SV11 @ SV29 )
= compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(235,plain,
! [SV12: $i] :
( ( ( ~ ( is_ep_type @ SV12 ) )
= $true )
| ( ( ( SV12 = c )
| ( SV12 = o ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(236,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ o @ o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(237,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ o @ o )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(238,plain,
! [SV13: $i] :
( ( ~ ! [SY87: $i,SY88: $i] :
( ~ ( leq @ SV13 @ SY88 )
| ~ ( less @ SY87 @ SV13 )
| ( in_lopen @ SV13 @ SY87 @ SY88 ) )
| ~ ~ ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( in_lopen @ SV13 @ SY89 @ SY90 )
| ( leq @ SV13 @ SY90 ) )
| ~ ! [SY91: $i] :
( ! [SY92: $i] :
~ ( in_lopen @ SV13 @ SY91 @ SY92 )
| ( less @ SY91 @ SV13 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(239,plain,
! [SV14: $i] :
( ( ~ ! [SY93: $i,SY94: $i] :
( ~ ( leq @ SY93 @ SV14 )
| ~ ( leq @ SV14 @ SY94 )
| ( in_closed @ SV14 @ SY93 @ SY94 ) )
| ~ ~ ( ~ ! [SY95: $i] :
( ! [SY96: $i] :
~ ( in_closed @ SV14 @ SY95 @ SY96 )
| ( leq @ SY95 @ SV14 ) )
| ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_closed @ SV14 @ SY97 @ SY98 )
| ( leq @ SV14 @ SY98 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(240,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(241,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(242,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(243,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(244,plain,
! [SV30: $i,SV15: $i] :
( ( ! [SY144: $i,SY145: $i,SY146: $i,SY147: $i] :
~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SY144 @ SY145 @ SY146 @ SY147 @ SY148 @ SY149 )
| ( prec @ SV30 @ SY146 @ SY145 @ SY148 )
| ( prec @ SY147 @ SV15 @ SY149 @ SY144 ) )
| ~ ~ ( ~ ! [SY150: $i] :
( ~ ( prec @ SV30 @ SY146 @ SY145 @ SY150 )
| ! [SY151: $i] : ( disjoint @ SV15 @ SV30 @ SY144 @ SY145 @ SY146 @ SY147 @ SY150 @ SY151 ) )
| ~ ! [SY152: $i,SY153: $i] :
( ~ ( prec @ SY147 @ SV15 @ SY153 @ SY144 )
| ( disjoint @ SV15 @ SV30 @ SY144 @ SY145 @ SY146 @ SY147 @ SY152 @ SY153 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(245,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ c @ o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(246,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ c @ o )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(247,plain,
! [SV16: $i,SV31: $i] :
( ( ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY155 @ SY154 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ~ ~ ( in_closed @ ( sK1_X @ SY155 @ SY154 @ SV31 @ SV16 ) @ SY154 @ SY155 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SY154 @ SY155 ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( axis_subsumes @ SV16 @ SV31 @ SY156 @ SY157 )
| ! [SY158: $i] :
( ~ ( in_closed @ SY158 @ SV16 @ SV31 )
| ( in_closed @ SY158 @ SY156 @ SY157 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(248,plain,
! [SV32: $i,SV17: $i] :
( ( ~ ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( axis_conflict @ SV17 @ SV32 @ SY159 @ SY160 )
| ! [SY161: $i] :
( ~ ( in_closed @ SY161 @ SV17 @ SV32 )
| ~ ( in_closed @ SY161 @ SY159 @ SY160 ) ) )
| ~ ! [SY162: $i,SY163: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY163 @ SY162 @ SV32 @ SV17 ) @ SV17 @ SV32 )
| ~ ( in_closed @ ( sK3_X @ SY163 @ SY162 @ SV32 @ SV17 ) @ SY162 @ SY163 ) )
| ( axis_conflict @ SV17 @ SV32 @ SY162 @ SY163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(249,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ o @ c ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(250,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ o @ c )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(251,plain,
! [SV33: $i,SV18: $i] :
( ( ~ ( ~ ! [SY164: $i,SY165: $i] :
( ! [SY166: $i] :
( ~ ( in_closed @ SY166 @ SV18 @ SV33 )
| ~ ( in_closed @ SY166 @ SY164 @ SY165 ) )
| ( axis_compatible @ SV18 @ SV33 @ SY164 @ SY165 ) )
| ~ ! [SY167: $i,SY168: $i] :
( ~ ( axis_compatible @ SV18 @ SV33 @ SY167 @ SY168 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY168 @ SY167 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SY168 @ SY167 @ SV33 @ SV18 ) @ SY167 @ SY168 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(252,plain,
! [SV19: $i] :
( ( ~ ! [SY128: $i,SY129: $i] :
( ~ ( leq @ SY128 @ SV19 )
| ~ ( less @ SV19 @ SY129 )
| ( in_ropen @ SV19 @ SY128 @ SY129 ) )
| ~ ~ ( ~ ! [SY130: $i] :
( ! [SY131: $i] :
~ ( in_ropen @ SV19 @ SY130 @ SY131 )
| ( leq @ SY130 @ SV19 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( in_ropen @ SV19 @ SY132 @ SY133 )
| ( less @ SV19 @ SY133 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(253,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ c @ c ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(254,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ c @ c )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(255,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(256,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(257,plain,
! [SV20: $i] :
( ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( less @ SY134 @ SV20 )
| ~ ( less @ SV20 @ SY135 )
| ( in_open @ SV20 @ SY134 @ SY135 ) )
| ~ ~ ( ~ ! [SY136: $i] :
( ! [SY137: $i] :
~ ( in_open @ SV20 @ SY136 @ SY137 )
| ( less @ SY136 @ SV20 ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( in_open @ SV20 @ SY138 @ SY139 )
| ( less @ SV20 @ SY139 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(258,plain,
! [SV34: $i,SV21: $i,SV2: $i] :
( ( ~ ( less @ SV2 @ SV21 )
| ~ ( less @ SV21 @ SV34 )
| ( less @ SV2 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(259,plain,
! [SV3: $i,SV22: $i] :
( ( ( less @ SV22 @ SV3 )
= $true )
| ( ( ( SV3 = SV22 )
| ( less @ SV3 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(260,plain,
! [SV23: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV23 )
| ~ ( leq @ SV23 @ SV4 ) )
= $true )
| ( ( SV4 = SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(261,plain,
! [SV24: $i,SV5: $i] :
( ( ( ~ ( less @ SV5 @ SV24 ) )
= $true )
| ( ( leq @ SV5 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(262,plain,
! [SV35: $i,SV25: $i,SV6: $i] :
( ( ~ ( leq @ SV6 @ SV25 )
| ~ ( less @ SV25 @ SV35 )
| ( less @ SV6 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(263,plain,
! [SV7: $i,SV36: $i,SV26: $i] :
( ( ~ ( leq @ SV26 @ SV36 )
| ~ ( less @ SV7 @ SV26 )
| ( less @ SV7 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(264,plain,
! [SV37: $i,SV27: $i,SV8: $i] :
( ( ~ ( leq @ SV8 @ SV27 )
| ~ ( leq @ SV27 @ SV37 )
| ( leq @ SV8 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(265,plain,
! [SV9: $i] :
( ( ( is_verdict @ SV9 )
= $false )
| ( ( ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(266,plain,
! [SV28: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV28 )
| ( SV10 != compatible )
| ( SV28 != compatible ) )
= $true )
| ( ( ( box_verdict @ SV10 @ SV28 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(267,plain,
! [SV29: $i,SV11: $i] :
( ( ( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SV29 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV29 )
= unknown )
| ( ( box_verdict @ SV11 @ SV29 )
= conflict )
| ( ( box_verdict @ SV11 @ SV29 )
= compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(268,plain,
! [SV12: $i] :
( ( ( is_ep_type @ SV12 )
= $false )
| ( ( ( SV12 = c )
| ( SV12 = o ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(269,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ o @ o ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(270,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ o @ o )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(271,plain,
! [SV13: $i] :
( ( ~ ! [SY87: $i,SY88: $i] :
( ~ ( leq @ SV13 @ SY88 )
| ~ ( less @ SY87 @ SV13 )
| ( in_lopen @ SV13 @ SY87 @ SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(272,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( in_lopen @ SV13 @ SY89 @ SY90 )
| ( leq @ SV13 @ SY90 ) )
| ~ ! [SY91: $i] :
( ! [SY92: $i] :
~ ( in_lopen @ SV13 @ SY91 @ SY92 )
| ( less @ SY91 @ SV13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(273,plain,
! [SV14: $i] :
( ( ~ ! [SY93: $i,SY94: $i] :
( ~ ( leq @ SY93 @ SV14 )
| ~ ( leq @ SV14 @ SY94 )
| ( in_closed @ SV14 @ SY93 @ SY94 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(274,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ! [SY95: $i] :
( ! [SY96: $i] :
~ ( in_closed @ SV14 @ SY95 @ SY96 )
| ( leq @ SY95 @ SV14 ) )
| ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_closed @ SV14 @ SY97 @ SY98 )
| ( leq @ SV14 @ SY98 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(275,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(276,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 = conflict )
| ( SX0 = conflict )
| ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != unknown )
| ( ( box_verdict @ SX0 @ SX1 )
= unknown ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(277,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(278,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(279,plain,
! [SV38: $i,SV30: $i,SV15: $i] :
( ( ! [SY169: $i,SY170: $i,SY171: $i] :
~ ( ~ ! [SY172: $i,SY173: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SY169 @ SY170 @ SY171 @ SY172 @ SY173 )
| ( prec @ SV30 @ SY170 @ SY169 @ SY172 )
| ( prec @ SY171 @ SV15 @ SY173 @ SV38 ) )
| ~ ~ ( ~ ! [SY174: $i] :
( ~ ( prec @ SV30 @ SY170 @ SY169 @ SY174 )
| ! [SY175: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SY169 @ SY170 @ SY171 @ SY174 @ SY175 ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( prec @ SY171 @ SV15 @ SY177 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SY169 @ SY170 @ SY171 @ SY176 @ SY177 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(280,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ c @ o ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(281,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ c @ o )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(282,plain,
! [SV16: $i,SV31: $i] :
( ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY155 @ SY154 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ~ ~ ( in_closed @ ( sK1_X @ SY155 @ SY154 @ SV31 @ SV16 ) @ SY154 @ SY155 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SY154 @ SY155 ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( axis_subsumes @ SV16 @ SV31 @ SY156 @ SY157 )
| ! [SY158: $i] :
( ~ ( in_closed @ SY158 @ SV16 @ SV31 )
| ( in_closed @ SY158 @ SY156 @ SY157 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(283,plain,
! [SV32: $i,SV17: $i] :
( ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( axis_conflict @ SV17 @ SV32 @ SY159 @ SY160 )
| ! [SY161: $i] :
( ~ ( in_closed @ SY161 @ SV17 @ SV32 )
| ~ ( in_closed @ SY161 @ SY159 @ SY160 ) ) )
| ~ ! [SY162: $i,SY163: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY163 @ SY162 @ SV32 @ SV17 ) @ SV17 @ SV32 )
| ~ ( in_closed @ ( sK3_X @ SY163 @ SY162 @ SV32 @ SV17 ) @ SY162 @ SY163 ) )
| ( axis_conflict @ SV17 @ SV32 @ SY162 @ SY163 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(284,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ o @ c ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(285,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ o @ c )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(286,plain,
! [SV33: $i,SV18: $i] :
( ( ~ ! [SY164: $i,SY165: $i] :
( ! [SY166: $i] :
( ~ ( in_closed @ SY166 @ SV18 @ SV33 )
| ~ ( in_closed @ SY166 @ SY164 @ SY165 ) )
| ( axis_compatible @ SV18 @ SV33 @ SY164 @ SY165 ) )
| ~ ! [SY167: $i,SY168: $i] :
( ~ ( axis_compatible @ SV18 @ SV33 @ SY167 @ SY168 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY168 @ SY167 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SY168 @ SY167 @ SV33 @ SV18 ) @ SY167 @ SY168 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(287,plain,
! [SV19: $i] :
( ( ~ ! [SY128: $i,SY129: $i] :
( ~ ( leq @ SY128 @ SV19 )
| ~ ( less @ SV19 @ SY129 )
| ( in_ropen @ SV19 @ SY128 @ SY129 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(288,plain,
! [SV19: $i] :
( ( ~ ~ ( ~ ! [SY130: $i] :
( ! [SY131: $i] :
~ ( in_ropen @ SV19 @ SY130 @ SY131 )
| ( leq @ SY130 @ SV19 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( in_ropen @ SV19 @ SY132 @ SY133 )
| ( less @ SV19 @ SY133 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(289,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( prec @ SX0 @ SX1 @ c @ c ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(290,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( prec @ SX0 @ SX1 @ c @ c )
| ( less @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(291,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX0 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(292,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( is_verdict @ SX0 )
| ~ ( is_verdict @ SX1 )
| ( SX1 != conflict )
| ( ( box_verdict @ SX0 @ SX1 )
= conflict ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(293,plain,
! [SV20: $i] :
( ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( less @ SY134 @ SV20 )
| ~ ( less @ SV20 @ SY135 )
| ( in_open @ SV20 @ SY134 @ SY135 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(294,plain,
! [SV20: $i] :
( ( ~ ~ ( ~ ! [SY136: $i] :
( ! [SY137: $i] :
~ ( in_open @ SV20 @ SY136 @ SY137 )
| ( less @ SY136 @ SV20 ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( in_open @ SV20 @ SY138 @ SY139 )
| ( less @ SV20 @ SY139 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(295,plain,
! [SV34: $i,SV21: $i,SV2: $i] :
( ( ( ~ ( less @ SV2 @ SV21 )
| ~ ( less @ SV21 @ SV34 ) )
= $true )
| ( ( less @ SV2 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(296,plain,
! [SV22: $i,SV3: $i] :
( ( ( SV3 = SV22 )
= $true )
| ( ( less @ SV3 @ SV22 )
= $true )
| ( ( less @ SV22 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(297,plain,
! [SV23: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV23 ) )
= $true )
| ( ( ~ ( leq @ SV23 @ SV4 ) )
= $true )
| ( ( SV4 = SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(298,plain,
! [SV24: $i,SV5: $i] :
( ( ( less @ SV5 @ SV24 )
= $false )
| ( ( leq @ SV5 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(299,plain,
! [SV35: $i,SV25: $i,SV6: $i] :
( ( ( ~ ( leq @ SV6 @ SV25 )
| ~ ( less @ SV25 @ SV35 ) )
= $true )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(300,plain,
! [SV7: $i,SV36: $i,SV26: $i] :
( ( ( ~ ( leq @ SV26 @ SV36 )
| ~ ( less @ SV7 @ SV26 ) )
= $true )
| ( ( less @ SV7 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(301,plain,
! [SV37: $i,SV27: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV27 )
| ~ ( leq @ SV27 @ SV37 ) )
= $true )
| ( ( leq @ SV8 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(302,plain,
! [SV9: $i] :
( ( ( SV9 = unknown )
= $true )
| ( ( ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true )
| ( ( is_verdict @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(303,plain,
! [SV28: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV28 )
| ( SV10 != compatible ) )
= $true )
| ( ( SV28 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV28 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(304,plain,
! [SV29: $i,SV11: $i] :
( ( ( ~ ( is_verdict @ SV11 ) )
= $true )
| ( ( ~ ( is_verdict @ SV29 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV29 )
= unknown )
| ( ( box_verdict @ SV11 @ SV29 )
= conflict )
| ( ( box_verdict @ SV11 @ SV29 )
= compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(305,plain,
! [SV12: $i] :
( ( ( SV12 = c )
= $true )
| ( ( SV12 = o )
= $true )
| ( ( is_ep_type @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(306,plain,
! [SV39: $i] :
( ( ! [SY178: $i] :
( ~ ( leq @ SV39 @ SY178 )
| ( prec @ SV39 @ SY178 @ o @ o ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(307,plain,
! [SV40: $i] :
( ( ! [SY179: $i] :
( ~ ( prec @ SV40 @ SY179 @ o @ o )
| ( leq @ SV40 @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(308,plain,
! [SV13: $i] :
( ( ! [SY87: $i,SY88: $i] :
( ~ ( leq @ SV13 @ SY88 )
| ~ ( less @ SY87 @ SV13 )
| ( in_lopen @ SV13 @ SY87 @ SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(309,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( in_lopen @ SV13 @ SY89 @ SY90 )
| ( leq @ SV13 @ SY90 ) )
| ~ ! [SY91: $i] :
( ! [SY92: $i] :
~ ( in_lopen @ SV13 @ SY91 @ SY92 )
| ( less @ SY91 @ SV13 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(310,plain,
! [SV14: $i] :
( ( ! [SY93: $i,SY94: $i] :
( ~ ( leq @ SY93 @ SV14 )
| ~ ( leq @ SV14 @ SY94 )
| ( in_closed @ SV14 @ SY93 @ SY94 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(311,plain,
! [SV14: $i] :
( ( ~ ( ~ ! [SY95: $i] :
( ! [SY96: $i] :
~ ( in_closed @ SV14 @ SY95 @ SY96 )
| ( leq @ SY95 @ SV14 ) )
| ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_closed @ SV14 @ SY97 @ SY98 )
| ( leq @ SV14 @ SY98 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(312,plain,
! [SV41: $i] :
( ( ! [SY180: $i] :
( ( SY180 = conflict )
| ( SV41 = conflict )
| ~ ( is_verdict @ SV41 )
| ~ ( is_verdict @ SY180 )
| ( SV41 != unknown )
| ( ( box_verdict @ SV41 @ SY180 )
= unknown ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(313,plain,
! [SV42: $i] :
( ( ! [SY181: $i] :
( ( SY181 = conflict )
| ( SV42 = conflict )
| ~ ( is_verdict @ SV42 )
| ~ ( is_verdict @ SY181 )
| ( SY181 != unknown )
| ( ( box_verdict @ SV42 @ SY181 )
= unknown ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(314,plain,
! [SV43: $i] :
( ( ! [SY182: $i] :
( ~ ( leq @ SV43 @ SY182 )
| ( SV43 = SY182 )
| ( less @ SV43 @ SY182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(315,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(316,plain,
! [SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ! [SY183: $i,SY184: $i] :
~ ( ~ ! [SY185: $i,SY186: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SY183 @ SY184 @ SY185 @ SY186 )
| ( prec @ SV30 @ SY183 @ SV44 @ SY185 )
| ( prec @ SY184 @ SV15 @ SY186 @ SV38 ) )
| ~ ~ ( ~ ! [SY187: $i] :
( ~ ( prec @ SV30 @ SY183 @ SV44 @ SY187 )
| ! [SY188: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SY183 @ SY184 @ SY187 @ SY188 ) )
| ~ ! [SY189: $i,SY190: $i] :
( ~ ( prec @ SY184 @ SV15 @ SY190 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SY183 @ SY184 @ SY189 @ SY190 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(317,plain,
! [SV45: $i] :
( ( ! [SY191: $i] :
( ~ ( leq @ SV45 @ SY191 )
| ( prec @ SV45 @ SY191 @ c @ o ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(318,plain,
! [SV46: $i] :
( ( ! [SY192: $i] :
( ~ ( prec @ SV46 @ SY192 @ c @ o )
| ( leq @ SV46 @ SY192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(319,plain,
! [SV16: $i,SV31: $i] :
( ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY155 @ SY154 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ~ ~ ( in_closed @ ( sK1_X @ SY155 @ SY154 @ SV31 @ SV16 ) @ SY154 @ SY155 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SY154 @ SY155 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(320,plain,
! [SV31: $i,SV16: $i] :
( ( ~ ! [SY156: $i,SY157: $i] :
( ~ ( axis_subsumes @ SV16 @ SV31 @ SY156 @ SY157 )
| ! [SY158: $i] :
( ~ ( in_closed @ SY158 @ SV16 @ SV31 )
| ( in_closed @ SY158 @ SY156 @ SY157 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(321,plain,
! [SV32: $i,SV17: $i] :
( ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( axis_conflict @ SV17 @ SV32 @ SY159 @ SY160 )
| ! [SY161: $i] :
( ~ ( in_closed @ SY161 @ SV17 @ SV32 )
| ~ ( in_closed @ SY161 @ SY159 @ SY160 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(322,plain,
! [SV17: $i,SV32: $i] :
( ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY163 @ SY162 @ SV32 @ SV17 ) @ SV17 @ SV32 )
| ~ ( in_closed @ ( sK3_X @ SY163 @ SY162 @ SV32 @ SV17 ) @ SY162 @ SY163 ) )
| ( axis_conflict @ SV17 @ SV32 @ SY162 @ SY163 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(323,plain,
! [SV47: $i] :
( ( ! [SY193: $i] :
( ~ ( leq @ SV47 @ SY193 )
| ( prec @ SV47 @ SY193 @ o @ c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(324,plain,
! [SV48: $i] :
( ( ! [SY194: $i] :
( ~ ( prec @ SV48 @ SY194 @ o @ c )
| ( leq @ SV48 @ SY194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(325,plain,
! [SV33: $i,SV18: $i] :
( ( ~ ! [SY164: $i,SY165: $i] :
( ! [SY166: $i] :
( ~ ( in_closed @ SY166 @ SV18 @ SV33 )
| ~ ( in_closed @ SY166 @ SY164 @ SY165 ) )
| ( axis_compatible @ SV18 @ SV33 @ SY164 @ SY165 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(326,plain,
! [SV33: $i,SV18: $i] :
( ( ~ ! [SY167: $i,SY168: $i] :
( ~ ( axis_compatible @ SV18 @ SV33 @ SY167 @ SY168 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY168 @ SY167 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SY168 @ SY167 @ SV33 @ SV18 ) @ SY167 @ SY168 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(327,plain,
! [SV19: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ~ ( leq @ SY128 @ SV19 )
| ~ ( less @ SV19 @ SY129 )
| ( in_ropen @ SV19 @ SY128 @ SY129 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(328,plain,
! [SV19: $i] :
( ( ~ ( ~ ! [SY130: $i] :
( ! [SY131: $i] :
~ ( in_ropen @ SV19 @ SY130 @ SY131 )
| ( leq @ SY130 @ SV19 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( in_ropen @ SV19 @ SY132 @ SY133 )
| ( less @ SV19 @ SY133 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(329,plain,
! [SV49: $i] :
( ( ! [SY195: $i] :
( ~ ( less @ SV49 @ SY195 )
| ( prec @ SV49 @ SY195 @ c @ c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(330,plain,
! [SV50: $i] :
( ( ! [SY196: $i] :
( ~ ( prec @ SV50 @ SY196 @ c @ c )
| ( less @ SV50 @ SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(331,plain,
! [SV51: $i] :
( ( ! [SY197: $i] :
( ~ ( is_verdict @ SV51 )
| ~ ( is_verdict @ SY197 )
| ( SV51 != conflict )
| ( ( box_verdict @ SV51 @ SY197 )
= conflict ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(332,plain,
! [SV52: $i] :
( ( ! [SY198: $i] :
( ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SY198 )
| ( SY198 != conflict )
| ( ( box_verdict @ SV52 @ SY198 )
= conflict ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(333,plain,
! [SV20: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ~ ( less @ SY134 @ SV20 )
| ~ ( less @ SV20 @ SY135 )
| ( in_open @ SV20 @ SY134 @ SY135 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(334,plain,
! [SV20: $i] :
( ( ~ ( ~ ! [SY136: $i] :
( ! [SY137: $i] :
~ ( in_open @ SV20 @ SY136 @ SY137 )
| ( less @ SY136 @ SV20 ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( in_open @ SV20 @ SY138 @ SY139 )
| ( less @ SV20 @ SY139 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(335,plain,
! [SV34: $i,SV21: $i,SV2: $i] :
( ( ( ~ ( less @ SV2 @ SV21 ) )
= $true )
| ( ( ~ ( less @ SV21 @ SV34 ) )
= $true )
| ( ( less @ SV2 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(336,plain,
! [SV23: $i,SV4: $i] :
( ( ( leq @ SV4 @ SV23 )
= $false )
| ( ( ~ ( leq @ SV23 @ SV4 ) )
= $true )
| ( ( SV4 = SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(337,plain,
! [SV35: $i,SV25: $i,SV6: $i] :
( ( ( ~ ( leq @ SV6 @ SV25 ) )
= $true )
| ( ( ~ ( less @ SV25 @ SV35 ) )
= $true )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(338,plain,
! [SV7: $i,SV36: $i,SV26: $i] :
( ( ( ~ ( leq @ SV26 @ SV36 ) )
= $true )
| ( ( ~ ( less @ SV7 @ SV26 ) )
= $true )
| ( ( less @ SV7 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(339,plain,
! [SV37: $i,SV27: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV27 ) )
= $true )
| ( ( ~ ( leq @ SV27 @ SV37 ) )
= $true )
| ( ( leq @ SV8 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(340,plain,
! [SV9: $i] :
( ( ( SV9 = conflict )
= $true )
| ( ( SV9 = compatible )
= $true )
| ( ( SV9 = unknown )
= $true )
| ( ( is_verdict @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(341,plain,
! [SV28: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV28 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV28 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV28 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(342,plain,
! [SV29: $i,SV11: $i] :
( ( ( is_verdict @ SV11 )
= $false )
| ( ( ~ ( is_verdict @ SV29 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV29 )
= unknown )
| ( ( box_verdict @ SV11 @ SV29 )
= conflict )
| ( ( box_verdict @ SV11 @ SV29 )
= compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(343,plain,
! [SV53: $i,SV39: $i] :
( ( ~ ( leq @ SV39 @ SV53 )
| ( prec @ SV39 @ SV53 @ o @ o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(344,plain,
! [SV54: $i,SV40: $i] :
( ( ~ ( prec @ SV40 @ SV54 @ o @ o )
| ( leq @ SV40 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(345,plain,
! [SV55: $i,SV13: $i] :
( ( ! [SY199: $i] :
( ~ ( leq @ SV13 @ SY199 )
| ~ ( less @ SV55 @ SV13 )
| ( in_lopen @ SV13 @ SV55 @ SY199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(346,plain,
! [SV13: $i] :
( ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( in_lopen @ SV13 @ SY89 @ SY90 )
| ( leq @ SV13 @ SY90 ) )
| ~ ! [SY91: $i] :
( ! [SY92: $i] :
~ ( in_lopen @ SV13 @ SY91 @ SY92 )
| ( less @ SY91 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(347,plain,
! [SV14: $i,SV56: $i] :
( ( ! [SY200: $i] :
( ~ ( leq @ SV56 @ SV14 )
| ~ ( leq @ SV14 @ SY200 )
| ( in_closed @ SV14 @ SV56 @ SY200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(348,plain,
! [SV14: $i] :
( ( ~ ! [SY95: $i] :
( ! [SY96: $i] :
~ ( in_closed @ SV14 @ SY95 @ SY96 )
| ( leq @ SY95 @ SV14 ) )
| ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_closed @ SV14 @ SY97 @ SY98 )
| ( leq @ SV14 @ SY98 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(349,plain,
! [SV41: $i,SV57: $i] :
( ( ( SV57 = conflict )
| ( SV41 = conflict )
| ~ ( is_verdict @ SV41 )
| ~ ( is_verdict @ SV57 )
| ( SV41 != unknown )
| ( ( box_verdict @ SV41 @ SV57 )
= unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(350,plain,
! [SV42: $i,SV58: $i] :
( ( ( SV58 = conflict )
| ( SV42 = conflict )
| ~ ( is_verdict @ SV42 )
| ~ ( is_verdict @ SV58 )
| ( SV58 != unknown )
| ( ( box_verdict @ SV42 @ SV58 )
= unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(351,plain,
! [SV59: $i,SV43: $i] :
( ( ~ ( leq @ SV43 @ SV59 )
| ( SV43 = SV59 )
| ( less @ SV43 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(352,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(353,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(354,plain,
! [SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ! [SY201: $i] :
~ ( ~ ! [SY202: $i,SY203: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SY201 @ SY202 @ SY203 )
| ( prec @ SV30 @ SV60 @ SV44 @ SY202 )
| ( prec @ SY201 @ SV15 @ SY203 @ SV38 ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( prec @ SV30 @ SV60 @ SV44 @ SY204 )
| ! [SY205: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SY201 @ SY204 @ SY205 ) )
| ~ ! [SY206: $i,SY207: $i] :
( ~ ( prec @ SY201 @ SV15 @ SY207 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SY201 @ SY206 @ SY207 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(355,plain,
! [SV61: $i,SV45: $i] :
( ( ~ ( leq @ SV45 @ SV61 )
| ( prec @ SV45 @ SV61 @ c @ o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(356,plain,
! [SV62: $i,SV46: $i] :
( ( ~ ( prec @ SV46 @ SV62 @ c @ o )
| ( leq @ SV46 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(357,plain,
! [SV16: $i,SV31: $i] :
( ( ! [SY154: $i,SY155: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY155 @ SY154 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ~ ~ ( in_closed @ ( sK1_X @ SY155 @ SY154 @ SV31 @ SV16 ) @ SY154 @ SY155 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SY154 @ SY155 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(358,plain,
! [SV31: $i,SV16: $i] :
( ( ! [SY156: $i,SY157: $i] :
( ~ ( axis_subsumes @ SV16 @ SV31 @ SY156 @ SY157 )
| ! [SY158: $i] :
( ~ ( in_closed @ SY158 @ SV16 @ SV31 )
| ( in_closed @ SY158 @ SY156 @ SY157 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(359,plain,
! [SV32: $i,SV17: $i] :
( ( ! [SY159: $i,SY160: $i] :
( ~ ( axis_conflict @ SV17 @ SV32 @ SY159 @ SY160 )
| ! [SY161: $i] :
( ~ ( in_closed @ SY161 @ SV17 @ SV32 )
| ~ ( in_closed @ SY161 @ SY159 @ SY160 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(360,plain,
! [SV17: $i,SV32: $i] :
( ( ! [SY162: $i,SY163: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY163 @ SY162 @ SV32 @ SV17 ) @ SV17 @ SV32 )
| ~ ( in_closed @ ( sK3_X @ SY163 @ SY162 @ SV32 @ SV17 ) @ SY162 @ SY163 ) )
| ( axis_conflict @ SV17 @ SV32 @ SY162 @ SY163 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(361,plain,
! [SV63: $i,SV47: $i] :
( ( ~ ( leq @ SV47 @ SV63 )
| ( prec @ SV47 @ SV63 @ o @ c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(362,plain,
! [SV64: $i,SV48: $i] :
( ( ~ ( prec @ SV48 @ SV64 @ o @ c )
| ( leq @ SV48 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(363,plain,
! [SV33: $i,SV18: $i] :
( ( ! [SY164: $i,SY165: $i] :
( ! [SY166: $i] :
( ~ ( in_closed @ SY166 @ SV18 @ SV33 )
| ~ ( in_closed @ SY166 @ SY164 @ SY165 ) )
| ( axis_compatible @ SV18 @ SV33 @ SY164 @ SY165 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(364,plain,
! [SV33: $i,SV18: $i] :
( ( ! [SY167: $i,SY168: $i] :
( ~ ( axis_compatible @ SV18 @ SV33 @ SY167 @ SY168 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY168 @ SY167 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SY168 @ SY167 @ SV33 @ SV18 ) @ SY167 @ SY168 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(365,plain,
! [SV19: $i,SV65: $i] :
( ( ! [SY208: $i] :
( ~ ( leq @ SV65 @ SV19 )
| ~ ( less @ SV19 @ SY208 )
| ( in_ropen @ SV19 @ SV65 @ SY208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(366,plain,
! [SV19: $i] :
( ( ~ ! [SY130: $i] :
( ! [SY131: $i] :
~ ( in_ropen @ SV19 @ SY130 @ SY131 )
| ( leq @ SY130 @ SV19 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( in_ropen @ SV19 @ SY132 @ SY133 )
| ( less @ SV19 @ SY133 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(367,plain,
! [SV66: $i,SV49: $i] :
( ( ~ ( less @ SV49 @ SV66 )
| ( prec @ SV49 @ SV66 @ c @ c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(368,plain,
! [SV67: $i,SV50: $i] :
( ( ~ ( prec @ SV50 @ SV67 @ c @ c )
| ( less @ SV50 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(369,plain,
! [SV68: $i,SV51: $i] :
( ( ~ ( is_verdict @ SV51 )
| ~ ( is_verdict @ SV68 )
| ( SV51 != conflict )
| ( ( box_verdict @ SV51 @ SV68 )
= conflict ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(370,plain,
! [SV69: $i,SV52: $i] :
( ( ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SV69 )
| ( SV69 != conflict )
| ( ( box_verdict @ SV52 @ SV69 )
= conflict ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(371,plain,
! [SV20: $i,SV70: $i] :
( ( ! [SY209: $i] :
( ~ ( less @ SV70 @ SV20 )
| ~ ( less @ SV20 @ SY209 )
| ( in_open @ SV20 @ SV70 @ SY209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(372,plain,
! [SV20: $i] :
( ( ~ ! [SY136: $i] :
( ! [SY137: $i] :
~ ( in_open @ SV20 @ SY136 @ SY137 )
| ( less @ SY136 @ SV20 ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( in_open @ SV20 @ SY138 @ SY139 )
| ( less @ SV20 @ SY139 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(373,plain,
! [SV34: $i,SV21: $i,SV2: $i] :
( ( ( less @ SV2 @ SV21 )
= $false )
| ( ( ~ ( less @ SV21 @ SV34 ) )
= $true )
| ( ( less @ SV2 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(374,plain,
! [SV4: $i,SV23: $i] :
( ( ( leq @ SV23 @ SV4 )
= $false )
| ( ( leq @ SV4 @ SV23 )
= $false )
| ( ( SV4 = SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(375,plain,
! [SV35: $i,SV25: $i,SV6: $i] :
( ( ( leq @ SV6 @ SV25 )
= $false )
| ( ( ~ ( less @ SV25 @ SV35 ) )
= $true )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(376,plain,
! [SV7: $i,SV36: $i,SV26: $i] :
( ( ( leq @ SV26 @ SV36 )
= $false )
| ( ( ~ ( less @ SV7 @ SV26 ) )
= $true )
| ( ( less @ SV7 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(377,plain,
! [SV37: $i,SV27: $i,SV8: $i] :
( ( ( leq @ SV8 @ SV27 )
= $false )
| ( ( ~ ( leq @ SV27 @ SV37 ) )
= $true )
| ( ( leq @ SV8 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(378,plain,
! [SV28: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 ) )
= $true )
| ( ( ~ ( is_verdict @ SV28 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV28 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV28 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(379,plain,
! [SV11: $i,SV29: $i] :
( ( ( is_verdict @ SV29 )
= $false )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( ( ( box_verdict @ SV11 @ SV29 )
= unknown )
| ( ( box_verdict @ SV11 @ SV29 )
= conflict )
| ( ( box_verdict @ SV11 @ SV29 )
= compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(380,plain,
! [SV53: $i,SV39: $i] :
( ( ( ~ ( leq @ SV39 @ SV53 ) )
= $true )
| ( ( prec @ SV39 @ SV53 @ o @ o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(381,plain,
! [SV54: $i,SV40: $i] :
( ( ( ~ ( prec @ SV40 @ SV54 @ o @ o ) )
= $true )
| ( ( leq @ SV40 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(382,plain,
! [SV55: $i,SV71: $i,SV13: $i] :
( ( ~ ( leq @ SV13 @ SV71 )
| ~ ( less @ SV55 @ SV13 )
| ( in_lopen @ SV13 @ SV55 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(383,plain,
! [SV13: $i] :
( ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( in_lopen @ SV13 @ SY89 @ SY90 )
| ( leq @ SV13 @ SY90 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(384,plain,
! [SV13: $i] :
( ( ~ ! [SY91: $i] :
( ! [SY92: $i] :
~ ( in_lopen @ SV13 @ SY91 @ SY92 )
| ( less @ SY91 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(385,plain,
! [SV72: $i,SV14: $i,SV56: $i] :
( ( ~ ( leq @ SV56 @ SV14 )
| ~ ( leq @ SV14 @ SV72 )
| ( in_closed @ SV14 @ SV56 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(386,plain,
! [SV14: $i] :
( ( ~ ! [SY95: $i] :
( ! [SY96: $i] :
~ ( in_closed @ SV14 @ SY95 @ SY96 )
| ( leq @ SY95 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(387,plain,
! [SV14: $i] :
( ( ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_closed @ SV14 @ SY97 @ SY98 )
| ( leq @ SV14 @ SY98 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(388,plain,
! [SV41: $i,SV57: $i] :
( ( ( ( SV57 = conflict )
| ( SV41 = conflict )
| ~ ( is_verdict @ SV41 )
| ~ ( is_verdict @ SV57 )
| ( SV41 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV41 @ SV57 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(389,plain,
! [SV42: $i,SV58: $i] :
( ( ( ( SV58 = conflict )
| ( SV42 = conflict )
| ~ ( is_verdict @ SV42 )
| ~ ( is_verdict @ SV58 )
| ( SV58 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV42 @ SV58 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(390,plain,
! [SV59: $i,SV43: $i] :
( ( ( ~ ( leq @ SV43 @ SV59 ) )
= $true )
| ( ( ( SV43 = SV59 )
| ( less @ SV43 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(391,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(392,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(393,plain,
! [SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ~ ( ~ ! [SY210: $i,SY211: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY210 @ SY211 )
| ( prec @ SV30 @ SV60 @ SV44 @ SY210 )
| ( prec @ SV73 @ SV15 @ SY211 @ SV38 ) )
| ~ ~ ( ~ ! [SY212: $i] :
( ~ ( prec @ SV30 @ SV60 @ SV44 @ SY212 )
| ! [SY213: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY212 @ SY213 ) )
| ~ ! [SY214: $i,SY215: $i] :
( ~ ( prec @ SV73 @ SV15 @ SY215 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY214 @ SY215 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(394,plain,
! [SV61: $i,SV45: $i] :
( ( ( ~ ( leq @ SV45 @ SV61 ) )
= $true )
| ( ( prec @ SV45 @ SV61 @ c @ o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(395,plain,
! [SV62: $i,SV46: $i] :
( ( ( ~ ( prec @ SV46 @ SV62 @ c @ o ) )
= $true )
| ( ( leq @ SV46 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(396,plain,
! [SV16: $i,SV31: $i,SV74: $i] :
( ( ! [SY216: $i] :
( ~ ( ~ ( in_closed @ ( sK1_X @ SY216 @ SV74 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ~ ~ ( in_closed @ ( sK1_X @ SY216 @ SV74 @ SV31 @ SV16 ) @ SV74 @ SY216 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(397,plain,
! [SV75: $i,SV31: $i,SV16: $i] :
( ( ! [SY217: $i] :
( ~ ( axis_subsumes @ SV16 @ SV31 @ SV75 @ SY217 )
| ! [SY218: $i] :
( ~ ( in_closed @ SY218 @ SV16 @ SV31 )
| ( in_closed @ SY218 @ SV75 @ SY217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(398,plain,
! [SV76: $i,SV32: $i,SV17: $i] :
( ( ! [SY219: $i] :
( ~ ( axis_conflict @ SV17 @ SV32 @ SV76 @ SY219 )
| ! [SY220: $i] :
( ~ ( in_closed @ SY220 @ SV17 @ SV32 )
| ~ ( in_closed @ SY220 @ SV76 @ SY219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(399,plain,
! [SV17: $i,SV32: $i,SV77: $i] :
( ( ! [SY221: $i] :
( ~ ( ~ ( in_closed @ ( sK3_X @ SY221 @ SV77 @ SV32 @ SV17 ) @ SV17 @ SV32 )
| ~ ( in_closed @ ( sK3_X @ SY221 @ SV77 @ SV32 @ SV17 ) @ SV77 @ SY221 ) )
| ( axis_conflict @ SV17 @ SV32 @ SV77 @ SY221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(400,plain,
! [SV63: $i,SV47: $i] :
( ( ( ~ ( leq @ SV47 @ SV63 ) )
= $true )
| ( ( prec @ SV47 @ SV63 @ o @ c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(401,plain,
! [SV64: $i,SV48: $i] :
( ( ( ~ ( prec @ SV48 @ SV64 @ o @ c ) )
= $true )
| ( ( leq @ SV48 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(402,plain,
! [SV78: $i,SV33: $i,SV18: $i] :
( ( ! [SY222: $i] :
( ! [SY223: $i] :
( ~ ( in_closed @ SY223 @ SV18 @ SV33 )
| ~ ( in_closed @ SY223 @ SV78 @ SY222 ) )
| ( axis_compatible @ SV18 @ SV33 @ SV78 @ SY222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(403,plain,
! [SV79: $i,SV33: $i,SV18: $i] :
( ( ! [SY224: $i] :
( ~ ( axis_compatible @ SV18 @ SV33 @ SV79 @ SY224 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SY224 @ SV79 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SY224 @ SV79 @ SV33 @ SV18 ) @ SV79 @ SY224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(404,plain,
! [SV80: $i,SV19: $i,SV65: $i] :
( ( ~ ( leq @ SV65 @ SV19 )
| ~ ( less @ SV19 @ SV80 )
| ( in_ropen @ SV19 @ SV65 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(405,plain,
! [SV19: $i] :
( ( ~ ! [SY130: $i] :
( ! [SY131: $i] :
~ ( in_ropen @ SV19 @ SY130 @ SY131 )
| ( leq @ SY130 @ SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(406,plain,
! [SV19: $i] :
( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( in_ropen @ SV19 @ SY132 @ SY133 )
| ( less @ SV19 @ SY133 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(407,plain,
! [SV66: $i,SV49: $i] :
( ( ( ~ ( less @ SV49 @ SV66 ) )
= $true )
| ( ( prec @ SV49 @ SV66 @ c @ c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(408,plain,
! [SV67: $i,SV50: $i] :
( ( ( ~ ( prec @ SV50 @ SV67 @ c @ c ) )
= $true )
| ( ( less @ SV50 @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(409,plain,
! [SV68: $i,SV51: $i] :
( ( ( ~ ( is_verdict @ SV51 )
| ~ ( is_verdict @ SV68 )
| ( SV51 != conflict ) )
= $true )
| ( ( ( box_verdict @ SV51 @ SV68 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(410,plain,
! [SV69: $i,SV52: $i] :
( ( ( ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SV69 )
| ( SV69 != conflict ) )
= $true )
| ( ( ( box_verdict @ SV52 @ SV69 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(411,plain,
! [SV81: $i,SV20: $i,SV70: $i] :
( ( ~ ( less @ SV70 @ SV20 )
| ~ ( less @ SV20 @ SV81 )
| ( in_open @ SV20 @ SV70 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(412,plain,
! [SV20: $i] :
( ( ~ ! [SY136: $i] :
( ! [SY137: $i] :
~ ( in_open @ SV20 @ SY136 @ SY137 )
| ( less @ SY136 @ SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(413,plain,
! [SV20: $i] :
( ( ~ ! [SY138: $i,SY139: $i] :
( ~ ( in_open @ SV20 @ SY138 @ SY139 )
| ( less @ SV20 @ SY139 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(414,plain,
! [SV2: $i,SV34: $i,SV21: $i] :
( ( ( less @ SV21 @ SV34 )
= $false )
| ( ( less @ SV2 @ SV21 )
= $false )
| ( ( less @ SV2 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(415,plain,
! [SV6: $i,SV35: $i,SV25: $i] :
( ( ( less @ SV25 @ SV35 )
= $false )
| ( ( leq @ SV6 @ SV25 )
= $false )
| ( ( less @ SV6 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(416,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ( less @ SV7 @ SV26 )
= $false )
| ( ( leq @ SV26 @ SV36 )
= $false )
| ( ( less @ SV7 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(417,plain,
! [SV8: $i,SV37: $i,SV27: $i] :
( ( ( leq @ SV27 @ SV37 )
= $false )
| ( ( leq @ SV8 @ SV27 )
= $false )
| ( ( leq @ SV8 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(418,plain,
! [SV28: $i,SV10: $i] :
( ( ( is_verdict @ SV10 )
= $false )
| ( ( ~ ( is_verdict @ SV28 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV28 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV28 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(419,plain,
! [SV29: $i,SV11: $i] :
( ( ( ( box_verdict @ SV11 @ SV29 )
= unknown )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV29 )
= conflict )
| ( ( box_verdict @ SV11 @ SV29 )
= compatible ) )
= $true )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( is_verdict @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(420,plain,
! [SV53: $i,SV39: $i] :
( ( ( leq @ SV39 @ SV53 )
= $false )
| ( ( prec @ SV39 @ SV53 @ o @ o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(421,plain,
! [SV54: $i,SV40: $i] :
( ( ( prec @ SV40 @ SV54 @ o @ o )
= $false )
| ( ( leq @ SV40 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(422,plain,
! [SV55: $i,SV71: $i,SV13: $i] :
( ( ( ~ ( leq @ SV13 @ SV71 )
| ~ ( less @ SV55 @ SV13 ) )
= $true )
| ( ( in_lopen @ SV13 @ SV55 @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(423,plain,
! [SV13: $i] :
( ( ! [SY89: $i,SY90: $i] :
( ~ ( in_lopen @ SV13 @ SY89 @ SY90 )
| ( leq @ SV13 @ SY90 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(424,plain,
! [SV13: $i] :
( ( ! [SY91: $i] :
( ! [SY92: $i] :
~ ( in_lopen @ SV13 @ SY91 @ SY92 )
| ( less @ SY91 @ SV13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(425,plain,
! [SV72: $i,SV14: $i,SV56: $i] :
( ( ( ~ ( leq @ SV56 @ SV14 )
| ~ ( leq @ SV14 @ SV72 ) )
= $true )
| ( ( in_closed @ SV14 @ SV56 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(426,plain,
! [SV14: $i] :
( ( ! [SY95: $i] :
( ! [SY96: $i] :
~ ( in_closed @ SV14 @ SY95 @ SY96 )
| ( leq @ SY95 @ SV14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(427,plain,
! [SV14: $i] :
( ( ! [SY97: $i,SY98: $i] :
( ~ ( in_closed @ SV14 @ SY97 @ SY98 )
| ( leq @ SV14 @ SY98 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(428,plain,
! [SV41: $i,SV57: $i] :
( ( ( SV57 = conflict )
= $true )
| ( ( ( SV41 = conflict )
| ~ ( is_verdict @ SV41 )
| ~ ( is_verdict @ SV57 )
| ( SV41 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV41 @ SV57 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(429,plain,
! [SV42: $i,SV58: $i] :
( ( ( SV58 = conflict )
= $true )
| ( ( ( SV42 = conflict )
| ~ ( is_verdict @ SV42 )
| ~ ( is_verdict @ SV58 )
| ( SV58 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV42 @ SV58 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(430,plain,
! [SV59: $i,SV43: $i] :
( ( ( leq @ SV43 @ SV59 )
= $false )
| ( ( ( SV43 = SV59 )
| ( less @ SV43 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(431,plain,
! [SV82: $i] :
( ( ! [SY225: $i] :
( ( SV82 != SY225 )
| ( leq @ SV82 @ SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(432,plain,
! [SV83: $i] :
( ( ! [SY226: $i] :
( ~ ( less @ SV83 @ SY226 )
| ( leq @ SV83 @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(433,plain,
! [SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ~ ! [SY210: $i,SY211: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY210 @ SY211 )
| ( prec @ SV30 @ SV60 @ SV44 @ SY210 )
| ( prec @ SV73 @ SV15 @ SY211 @ SV38 ) )
| ~ ~ ( ~ ! [SY212: $i] :
( ~ ( prec @ SV30 @ SV60 @ SV44 @ SY212 )
| ! [SY213: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY212 @ SY213 ) )
| ~ ! [SY214: $i,SY215: $i] :
( ~ ( prec @ SV73 @ SV15 @ SY215 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY214 @ SY215 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(434,plain,
! [SV61: $i,SV45: $i] :
( ( ( leq @ SV45 @ SV61 )
= $false )
| ( ( prec @ SV45 @ SV61 @ c @ o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(435,plain,
! [SV62: $i,SV46: $i] :
( ( ( prec @ SV46 @ SV62 @ c @ o )
= $false )
| ( ( leq @ SV46 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(436,plain,
! [SV16: $i,SV31: $i,SV74: $i,SV84: $i] :
( ( ~ ( ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ~ ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV74 @ SV84 ) )
| ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(437,plain,
! [SV85: $i,SV75: $i,SV31: $i,SV16: $i] :
( ( ~ ( axis_subsumes @ SV16 @ SV31 @ SV75 @ SV85 )
| ! [SY227: $i] :
( ~ ( in_closed @ SY227 @ SV16 @ SV31 )
| ( in_closed @ SY227 @ SV75 @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(438,plain,
! [SV86: $i,SV76: $i,SV32: $i,SV17: $i] :
( ( ~ ( axis_conflict @ SV17 @ SV32 @ SV76 @ SV86 )
| ! [SY228: $i] :
( ~ ( in_closed @ SY228 @ SV17 @ SV32 )
| ~ ( in_closed @ SY228 @ SV76 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(439,plain,
! [SV17: $i,SV32: $i,SV77: $i,SV87: $i] :
( ( ~ ( ~ ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV17 @ SV32 )
| ~ ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV77 @ SV87 ) )
| ( axis_conflict @ SV17 @ SV32 @ SV77 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(440,plain,
! [SV63: $i,SV47: $i] :
( ( ( leq @ SV47 @ SV63 )
= $false )
| ( ( prec @ SV47 @ SV63 @ o @ c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(441,plain,
! [SV64: $i,SV48: $i] :
( ( ( prec @ SV48 @ SV64 @ o @ c )
= $false )
| ( ( leq @ SV48 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(442,plain,
! [SV88: $i,SV78: $i,SV33: $i,SV18: $i] :
( ( ! [SY229: $i] :
( ~ ( in_closed @ SY229 @ SV18 @ SV33 )
| ~ ( in_closed @ SY229 @ SV78 @ SV88 ) )
| ( axis_compatible @ SV18 @ SV33 @ SV78 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(443,plain,
! [SV89: $i,SV79: $i,SV33: $i,SV18: $i] :
( ( ~ ( axis_compatible @ SV18 @ SV33 @ SV79 @ SV89 )
| ~ ( ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV79 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(444,plain,
! [SV80: $i,SV19: $i,SV65: $i] :
( ( ( ~ ( leq @ SV65 @ SV19 )
| ~ ( less @ SV19 @ SV80 ) )
= $true )
| ( ( in_ropen @ SV19 @ SV65 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(445,plain,
! [SV19: $i] :
( ( ! [SY130: $i] :
( ! [SY131: $i] :
~ ( in_ropen @ SV19 @ SY130 @ SY131 )
| ( leq @ SY130 @ SV19 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(446,plain,
! [SV19: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ~ ( in_ropen @ SV19 @ SY132 @ SY133 )
| ( less @ SV19 @ SY133 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(447,plain,
! [SV66: $i,SV49: $i] :
( ( ( less @ SV49 @ SV66 )
= $false )
| ( ( prec @ SV49 @ SV66 @ c @ c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(448,plain,
! [SV67: $i,SV50: $i] :
( ( ( prec @ SV50 @ SV67 @ c @ c )
= $false )
| ( ( less @ SV50 @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(449,plain,
! [SV68: $i,SV51: $i] :
( ( ( ~ ( is_verdict @ SV51 )
| ~ ( is_verdict @ SV68 ) )
= $true )
| ( ( SV51 != conflict )
= $true )
| ( ( ( box_verdict @ SV51 @ SV68 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(450,plain,
! [SV69: $i,SV52: $i] :
( ( ( ~ ( is_verdict @ SV52 )
| ~ ( is_verdict @ SV69 ) )
= $true )
| ( ( SV69 != conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV69 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(451,plain,
! [SV81: $i,SV20: $i,SV70: $i] :
( ( ( ~ ( less @ SV70 @ SV20 )
| ~ ( less @ SV20 @ SV81 ) )
= $true )
| ( ( in_open @ SV20 @ SV70 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(452,plain,
! [SV20: $i] :
( ( ! [SY136: $i] :
( ! [SY137: $i] :
~ ( in_open @ SV20 @ SY136 @ SY137 )
| ( less @ SY136 @ SV20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(453,plain,
! [SV20: $i] :
( ( ! [SY138: $i,SY139: $i] :
( ~ ( in_open @ SV20 @ SY138 @ SY139 )
| ( less @ SV20 @ SY139 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(454,plain,
! [SV10: $i,SV28: $i] :
( ( ( is_verdict @ SV28 )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( SV10 != compatible )
= $true )
| ( ( SV28 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV28 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(455,plain,
! [SV29: $i,SV11: $i] :
( ( ( ( box_verdict @ SV11 @ SV29 )
= conflict )
= $true )
| ( ( ( box_verdict @ SV11 @ SV29 )
= compatible )
= $true )
| ( ( ( box_verdict @ SV11 @ SV29 )
= unknown )
= $true )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( is_verdict @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(456,plain,
! [SV55: $i,SV71: $i,SV13: $i] :
( ( ( ~ ( leq @ SV13 @ SV71 ) )
= $true )
| ( ( ~ ( less @ SV55 @ SV13 ) )
= $true )
| ( ( in_lopen @ SV13 @ SV55 @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(457,plain,
! [SV90: $i,SV13: $i] :
( ( ! [SY230: $i] :
( ~ ( in_lopen @ SV13 @ SV90 @ SY230 )
| ( leq @ SV13 @ SY230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(458,plain,
! [SV91: $i,SV13: $i] :
( ( ! [SY231: $i] :
~ ( in_lopen @ SV13 @ SV91 @ SY231 )
| ( less @ SV91 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(459,plain,
! [SV72: $i,SV14: $i,SV56: $i] :
( ( ( ~ ( leq @ SV56 @ SV14 ) )
= $true )
| ( ( ~ ( leq @ SV14 @ SV72 ) )
= $true )
| ( ( in_closed @ SV14 @ SV56 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(460,plain,
! [SV92: $i,SV14: $i] :
( ( ! [SY232: $i] :
~ ( in_closed @ SV14 @ SV92 @ SY232 )
| ( leq @ SV92 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(461,plain,
! [SV93: $i,SV14: $i] :
( ( ! [SY233: $i] :
( ~ ( in_closed @ SV14 @ SV93 @ SY233 )
| ( leq @ SV14 @ SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(462,plain,
! [SV57: $i,SV41: $i] :
( ( ( SV41 = conflict )
= $true )
| ( ( ~ ( is_verdict @ SV41 )
| ~ ( is_verdict @ SV57 )
| ( SV41 != unknown ) )
= $true )
| ( ( SV57 = conflict )
= $true )
| ( ( ( box_verdict @ SV41 @ SV57 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(463,plain,
! [SV58: $i,SV42: $i] :
( ( ( SV42 = conflict )
= $true )
| ( ( ~ ( is_verdict @ SV42 )
| ~ ( is_verdict @ SV58 )
| ( SV58 != unknown ) )
= $true )
| ( ( SV58 = conflict )
= $true )
| ( ( ( box_verdict @ SV42 @ SV58 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(464,plain,
! [SV59: $i,SV43: $i] :
( ( ( SV43 = SV59 )
= $true )
| ( ( less @ SV43 @ SV59 )
= $true )
| ( ( leq @ SV43 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(465,plain,
! [SV94: $i,SV82: $i] :
( ( ( SV82 != SV94 )
| ( leq @ SV82 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(466,plain,
! [SV95: $i,SV83: $i] :
( ( ~ ( less @ SV83 @ SV95 )
| ( leq @ SV83 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(467,plain,
! [SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ~ ! [SY210: $i,SY211: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY210 @ SY211 )
| ( prec @ SV30 @ SV60 @ SV44 @ SY210 )
| ( prec @ SV73 @ SV15 @ SY211 @ SV38 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(468,plain,
! [SV73: $i,SV38: $i,SV15: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ~ ~ ( ~ ! [SY212: $i] :
( ~ ( prec @ SV30 @ SV60 @ SV44 @ SY212 )
| ! [SY213: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY212 @ SY213 ) )
| ~ ! [SY214: $i,SY215: $i] :
( ~ ( prec @ SV73 @ SV15 @ SY215 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY214 @ SY215 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(469,plain,
! [SV16: $i,SV31: $i,SV74: $i,SV84: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ~ ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV74 @ SV84 ) ) )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(470,plain,
! [SV85: $i,SV75: $i,SV31: $i,SV16: $i] :
( ( ( ~ ( axis_subsumes @ SV16 @ SV31 @ SV75 @ SV85 ) )
= $true )
| ( ( ! [SY227: $i] :
( ~ ( in_closed @ SY227 @ SV16 @ SV31 )
| ( in_closed @ SY227 @ SV75 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(471,plain,
! [SV86: $i,SV76: $i,SV32: $i,SV17: $i] :
( ( ( ~ ( axis_conflict @ SV17 @ SV32 @ SV76 @ SV86 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( in_closed @ SY228 @ SV17 @ SV32 )
| ~ ( in_closed @ SY228 @ SV76 @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(472,plain,
! [SV17: $i,SV32: $i,SV77: $i,SV87: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV17 @ SV32 )
| ~ ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV77 @ SV87 ) ) )
= $true )
| ( ( axis_conflict @ SV17 @ SV32 @ SV77 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(473,plain,
! [SV88: $i,SV78: $i,SV33: $i,SV18: $i] :
( ( ( ! [SY229: $i] :
( ~ ( in_closed @ SY229 @ SV18 @ SV33 )
| ~ ( in_closed @ SY229 @ SV78 @ SV88 ) ) )
= $true )
| ( ( axis_compatible @ SV18 @ SV33 @ SV78 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(474,plain,
! [SV89: $i,SV79: $i,SV33: $i,SV18: $i] :
( ( ( ~ ( axis_compatible @ SV18 @ SV33 @ SV79 @ SV89 ) )
= $true )
| ( ( ~ ( ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV79 @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(475,plain,
! [SV80: $i,SV19: $i,SV65: $i] :
( ( ( ~ ( leq @ SV65 @ SV19 ) )
= $true )
| ( ( ~ ( less @ SV19 @ SV80 ) )
= $true )
| ( ( in_ropen @ SV19 @ SV65 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(476,plain,
! [SV96: $i,SV19: $i] :
( ( ! [SY234: $i] :
~ ( in_ropen @ SV19 @ SV96 @ SY234 )
| ( leq @ SV96 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(477,plain,
! [SV97: $i,SV19: $i] :
( ( ! [SY235: $i] :
( ~ ( in_ropen @ SV19 @ SV97 @ SY235 )
| ( less @ SV19 @ SY235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(478,plain,
! [SV68: $i,SV51: $i] :
( ( ( ~ ( is_verdict @ SV51 ) )
= $true )
| ( ( ~ ( is_verdict @ SV68 ) )
= $true )
| ( ( SV51 != conflict )
= $true )
| ( ( ( box_verdict @ SV51 @ SV68 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(479,plain,
! [SV69: $i,SV52: $i] :
( ( ( ~ ( is_verdict @ SV52 ) )
= $true )
| ( ( ~ ( is_verdict @ SV69 ) )
= $true )
| ( ( SV69 != conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV69 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(480,plain,
! [SV81: $i,SV20: $i,SV70: $i] :
( ( ( ~ ( less @ SV70 @ SV20 ) )
= $true )
| ( ( ~ ( less @ SV20 @ SV81 ) )
= $true )
| ( ( in_open @ SV20 @ SV70 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(481,plain,
! [SV98: $i,SV20: $i] :
( ( ! [SY236: $i] :
~ ( in_open @ SV20 @ SV98 @ SY236 )
| ( less @ SV98 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(482,plain,
! [SV99: $i,SV20: $i] :
( ( ! [SY237: $i] :
( ~ ( in_open @ SV20 @ SV99 @ SY237 )
| ( less @ SV20 @ SY237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(483,plain,
! [SV28: $i,SV10: $i] :
( ( ( SV10 = compatible )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( is_verdict @ SV28 )
= $false )
| ( ( SV28 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV28 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(484,plain,
! [SV55: $i,SV71: $i,SV13: $i] :
( ( ( leq @ SV13 @ SV71 )
= $false )
| ( ( ~ ( less @ SV55 @ SV13 ) )
= $true )
| ( ( in_lopen @ SV13 @ SV55 @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(485,plain,
! [SV100: $i,SV90: $i,SV13: $i] :
( ( ~ ( in_lopen @ SV13 @ SV90 @ SV100 )
| ( leq @ SV13 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(486,plain,
! [SV91: $i,SV13: $i] :
( ( ( ! [SY231: $i] :
~ ( in_lopen @ SV13 @ SV91 @ SY231 ) )
= $true )
| ( ( less @ SV91 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(487,plain,
! [SV72: $i,SV14: $i,SV56: $i] :
( ( ( leq @ SV56 @ SV14 )
= $false )
| ( ( ~ ( leq @ SV14 @ SV72 ) )
= $true )
| ( ( in_closed @ SV14 @ SV56 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(488,plain,
! [SV92: $i,SV14: $i] :
( ( ( ! [SY232: $i] :
~ ( in_closed @ SV14 @ SV92 @ SY232 ) )
= $true )
| ( ( leq @ SV92 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(489,plain,
! [SV101: $i,SV93: $i,SV14: $i] :
( ( ~ ( in_closed @ SV14 @ SV93 @ SV101 )
| ( leq @ SV14 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(490,plain,
! [SV57: $i,SV41: $i] :
( ( ( ~ ( is_verdict @ SV41 )
| ~ ( is_verdict @ SV57 ) )
= $true )
| ( ( SV41 != unknown )
= $true )
| ( ( SV41 = conflict )
= $true )
| ( ( SV57 = conflict )
= $true )
| ( ( ( box_verdict @ SV41 @ SV57 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(491,plain,
! [SV58: $i,SV42: $i] :
( ( ( ~ ( is_verdict @ SV42 )
| ~ ( is_verdict @ SV58 ) )
= $true )
| ( ( SV58 != unknown )
= $true )
| ( ( SV42 = conflict )
= $true )
| ( ( SV58 = conflict )
= $true )
| ( ( ( box_verdict @ SV42 @ SV58 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(492,plain,
! [SV94: $i,SV82: $i] :
( ( ( SV82 != SV94 )
= $true )
| ( ( leq @ SV82 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(493,plain,
! [SV95: $i,SV83: $i] :
( ( ( ~ ( less @ SV83 @ SV95 ) )
= $true )
| ( ( leq @ SV83 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(494,plain,
! [SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ! [SY210: $i,SY211: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY210 @ SY211 )
| ( prec @ SV30 @ SV60 @ SV44 @ SY210 )
| ( prec @ SV73 @ SV15 @ SY211 @ SV38 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(495,plain,
! [SV73: $i,SV38: $i,SV15: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ~ ( ~ ! [SY212: $i] :
( ~ ( prec @ SV30 @ SV60 @ SV44 @ SY212 )
| ! [SY213: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY212 @ SY213 ) )
| ~ ! [SY214: $i,SY215: $i] :
( ~ ( prec @ SV73 @ SV15 @ SY215 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY214 @ SY215 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(496,plain,
! [SV16: $i,SV31: $i,SV74: $i,SV84: $i] :
( ( ( ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV16 @ SV31 )
| ~ ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV74 @ SV84 ) )
= $false )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(497,plain,
! [SV85: $i,SV75: $i,SV31: $i,SV16: $i] :
( ( ( axis_subsumes @ SV16 @ SV31 @ SV75 @ SV85 )
= $false )
| ( ( ! [SY227: $i] :
( ~ ( in_closed @ SY227 @ SV16 @ SV31 )
| ( in_closed @ SY227 @ SV75 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(498,plain,
! [SV86: $i,SV76: $i,SV32: $i,SV17: $i] :
( ( ( axis_conflict @ SV17 @ SV32 @ SV76 @ SV86 )
= $false )
| ( ( ! [SY228: $i] :
( ~ ( in_closed @ SY228 @ SV17 @ SV32 )
| ~ ( in_closed @ SY228 @ SV76 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(499,plain,
! [SV17: $i,SV32: $i,SV77: $i,SV87: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV17 @ SV32 )
| ~ ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV77 @ SV87 ) )
= $false )
| ( ( axis_conflict @ SV17 @ SV32 @ SV77 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(500,plain,
! [SV88: $i,SV78: $i,SV33: $i,SV18: $i,SV102: $i] :
( ( ( ~ ( in_closed @ SV102 @ SV18 @ SV33 )
| ~ ( in_closed @ SV102 @ SV78 @ SV88 ) )
= $true )
| ( ( axis_compatible @ SV18 @ SV33 @ SV78 @ SV88 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(501,plain,
! [SV89: $i,SV79: $i,SV33: $i,SV18: $i] :
( ( ( axis_compatible @ SV18 @ SV33 @ SV79 @ SV89 )
= $false )
| ( ( ~ ( ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV79 @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(502,plain,
! [SV80: $i,SV19: $i,SV65: $i] :
( ( ( leq @ SV65 @ SV19 )
= $false )
| ( ( ~ ( less @ SV19 @ SV80 ) )
= $true )
| ( ( in_ropen @ SV19 @ SV65 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(503,plain,
! [SV96: $i,SV19: $i] :
( ( ( ! [SY234: $i] :
~ ( in_ropen @ SV19 @ SV96 @ SY234 ) )
= $true )
| ( ( leq @ SV96 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(504,plain,
! [SV103: $i,SV97: $i,SV19: $i] :
( ( ~ ( in_ropen @ SV19 @ SV97 @ SV103 )
| ( less @ SV19 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(505,plain,
! [SV68: $i,SV51: $i] :
( ( ( is_verdict @ SV51 )
= $false )
| ( ( ~ ( is_verdict @ SV68 ) )
= $true )
| ( ( SV51 != conflict )
= $true )
| ( ( ( box_verdict @ SV51 @ SV68 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(506,plain,
! [SV69: $i,SV52: $i] :
( ( ( is_verdict @ SV52 )
= $false )
| ( ( ~ ( is_verdict @ SV69 ) )
= $true )
| ( ( SV69 != conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV69 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(507,plain,
! [SV81: $i,SV20: $i,SV70: $i] :
( ( ( less @ SV70 @ SV20 )
= $false )
| ( ( ~ ( less @ SV20 @ SV81 ) )
= $true )
| ( ( in_open @ SV20 @ SV70 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(508,plain,
! [SV98: $i,SV20: $i] :
( ( ( ! [SY236: $i] :
~ ( in_open @ SV20 @ SV98 @ SY236 ) )
= $true )
| ( ( less @ SV98 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(509,plain,
! [SV104: $i,SV99: $i,SV20: $i] :
( ( ~ ( in_open @ SV20 @ SV99 @ SV104 )
| ( less @ SV20 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(510,plain,
! [SV10: $i,SV28: $i] :
( ( ( SV28 = compatible )
= $false )
| ( ( is_verdict @ SV28 )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( SV10 = compatible )
= $false )
| ( ( ( box_verdict @ SV10 @ SV28 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(511,plain,
! [SV71: $i,SV13: $i,SV55: $i] :
( ( ( less @ SV55 @ SV13 )
= $false )
| ( ( leq @ SV13 @ SV71 )
= $false )
| ( ( in_lopen @ SV13 @ SV55 @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(512,plain,
! [SV100: $i,SV90: $i,SV13: $i] :
( ( ( ~ ( in_lopen @ SV13 @ SV90 @ SV100 ) )
= $true )
| ( ( leq @ SV13 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(513,plain,
! [SV105: $i,SV91: $i,SV13: $i] :
( ( ( ~ ( in_lopen @ SV13 @ SV91 @ SV105 ) )
= $true )
| ( ( less @ SV91 @ SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(514,plain,
! [SV56: $i,SV72: $i,SV14: $i] :
( ( ( leq @ SV14 @ SV72 )
= $false )
| ( ( leq @ SV56 @ SV14 )
= $false )
| ( ( in_closed @ SV14 @ SV56 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(515,plain,
! [SV106: $i,SV92: $i,SV14: $i] :
( ( ( ~ ( in_closed @ SV14 @ SV92 @ SV106 ) )
= $true )
| ( ( leq @ SV92 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(516,plain,
! [SV101: $i,SV93: $i,SV14: $i] :
( ( ( ~ ( in_closed @ SV14 @ SV93 @ SV101 ) )
= $true )
| ( ( leq @ SV14 @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(517,plain,
! [SV57: $i,SV41: $i] :
( ( ( ~ ( is_verdict @ SV41 ) )
= $true )
| ( ( ~ ( is_verdict @ SV57 ) )
= $true )
| ( ( SV41 != unknown )
= $true )
| ( ( SV41 = conflict )
= $true )
| ( ( SV57 = conflict )
= $true )
| ( ( ( box_verdict @ SV41 @ SV57 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(518,plain,
! [SV58: $i,SV42: $i] :
( ( ( ~ ( is_verdict @ SV42 ) )
= $true )
| ( ( ~ ( is_verdict @ SV58 ) )
= $true )
| ( ( SV58 != unknown )
= $true )
| ( ( SV42 = conflict )
= $true )
| ( ( SV58 = conflict )
= $true )
| ( ( ( box_verdict @ SV42 @ SV58 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(519,plain,
! [SV94: $i,SV82: $i] :
( ( ( SV82 = SV94 )
= $false )
| ( ( leq @ SV82 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(520,plain,
! [SV95: $i,SV83: $i] :
( ( ( less @ SV83 @ SV95 )
= $false )
| ( ( leq @ SV83 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(521,plain,
! [SV107: $i,SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ! [SY238: $i] :
( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV107 @ SY238 )
| ( prec @ SV30 @ SV60 @ SV44 @ SV107 )
| ( prec @ SV73 @ SV15 @ SY238 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(522,plain,
! [SV73: $i,SV38: $i,SV15: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ~ ! [SY212: $i] :
( ~ ( prec @ SV30 @ SV60 @ SV44 @ SY212 )
| ! [SY213: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY212 @ SY213 ) )
| ~ ! [SY214: $i,SY215: $i] :
( ~ ( prec @ SV73 @ SV15 @ SY215 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY214 @ SY215 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(523,plain,
! [SV16: $i,SV31: $i,SV74: $i,SV84: $i] :
( ( ( ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV16 @ SV31 ) )
= $false )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(524,plain,
! [SV16: $i,SV31: $i,SV74: $i,SV84: $i] :
( ( ( ~ ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV74 @ SV84 ) )
= $false )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(525,plain,
! [SV85: $i,SV75: $i,SV31: $i,SV16: $i,SV108: $i] :
( ( ( ~ ( in_closed @ SV108 @ SV16 @ SV31 )
| ( in_closed @ SV108 @ SV75 @ SV85 ) )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV75 @ SV85 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(526,plain,
! [SV86: $i,SV76: $i,SV32: $i,SV17: $i,SV109: $i] :
( ( ( ~ ( in_closed @ SV109 @ SV17 @ SV32 )
| ~ ( in_closed @ SV109 @ SV76 @ SV86 ) )
= $true )
| ( ( axis_conflict @ SV17 @ SV32 @ SV76 @ SV86 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(527,plain,
! [SV17: $i,SV32: $i,SV77: $i,SV87: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV17 @ SV32 ) )
= $false )
| ( ( axis_conflict @ SV17 @ SV32 @ SV77 @ SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(528,plain,
! [SV17: $i,SV32: $i,SV77: $i,SV87: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV77 @ SV87 ) )
= $false )
| ( ( axis_conflict @ SV17 @ SV32 @ SV77 @ SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(529,plain,
! [SV88: $i,SV78: $i,SV33: $i,SV18: $i,SV102: $i] :
( ( ( ~ ( in_closed @ SV102 @ SV18 @ SV33 ) )
= $true )
| ( ( ~ ( in_closed @ SV102 @ SV78 @ SV88 ) )
= $true )
| ( ( axis_compatible @ SV18 @ SV33 @ SV78 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(530,plain,
! [SV18: $i,SV33: $i,SV79: $i,SV89: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV18 @ SV33 )
| ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV79 @ SV89 ) )
= $false )
| ( ( axis_compatible @ SV18 @ SV33 @ SV79 @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(531,plain,
! [SV65: $i,SV80: $i,SV19: $i] :
( ( ( less @ SV19 @ SV80 )
= $false )
| ( ( leq @ SV65 @ SV19 )
= $false )
| ( ( in_ropen @ SV19 @ SV65 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(532,plain,
! [SV110: $i,SV96: $i,SV19: $i] :
( ( ( ~ ( in_ropen @ SV19 @ SV96 @ SV110 ) )
= $true )
| ( ( leq @ SV96 @ SV19 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(533,plain,
! [SV103: $i,SV97: $i,SV19: $i] :
( ( ( ~ ( in_ropen @ SV19 @ SV97 @ SV103 ) )
= $true )
| ( ( less @ SV19 @ SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(534,plain,
! [SV51: $i,SV68: $i] :
( ( ( is_verdict @ SV68 )
= $false )
| ( ( is_verdict @ SV51 )
= $false )
| ( ( SV51 != conflict )
= $true )
| ( ( ( box_verdict @ SV51 @ SV68 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(535,plain,
! [SV52: $i,SV69: $i] :
( ( ( is_verdict @ SV69 )
= $false )
| ( ( is_verdict @ SV52 )
= $false )
| ( ( SV69 != conflict )
= $true )
| ( ( ( box_verdict @ SV52 @ SV69 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(536,plain,
! [SV70: $i,SV81: $i,SV20: $i] :
( ( ( less @ SV20 @ SV81 )
= $false )
| ( ( less @ SV70 @ SV20 )
= $false )
| ( ( in_open @ SV20 @ SV70 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(537,plain,
! [SV111: $i,SV98: $i,SV20: $i] :
( ( ( ~ ( in_open @ SV20 @ SV98 @ SV111 ) )
= $true )
| ( ( less @ SV98 @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(538,plain,
! [SV104: $i,SV99: $i,SV20: $i] :
( ( ( ~ ( in_open @ SV20 @ SV99 @ SV104 ) )
= $true )
| ( ( less @ SV20 @ SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(539,plain,
! [SV100: $i,SV90: $i,SV13: $i] :
( ( ( in_lopen @ SV13 @ SV90 @ SV100 )
= $false )
| ( ( leq @ SV13 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(540,plain,
! [SV105: $i,SV91: $i,SV13: $i] :
( ( ( in_lopen @ SV13 @ SV91 @ SV105 )
= $false )
| ( ( less @ SV91 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(541,plain,
! [SV106: $i,SV92: $i,SV14: $i] :
( ( ( in_closed @ SV14 @ SV92 @ SV106 )
= $false )
| ( ( leq @ SV92 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(542,plain,
! [SV101: $i,SV93: $i,SV14: $i] :
( ( ( in_closed @ SV14 @ SV93 @ SV101 )
= $false )
| ( ( leq @ SV14 @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(543,plain,
! [SV57: $i,SV41: $i] :
( ( ( is_verdict @ SV41 )
= $false )
| ( ( ~ ( is_verdict @ SV57 ) )
= $true )
| ( ( SV41 != unknown )
= $true )
| ( ( SV41 = conflict )
= $true )
| ( ( SV57 = conflict )
= $true )
| ( ( ( box_verdict @ SV41 @ SV57 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(544,plain,
! [SV58: $i,SV42: $i] :
( ( ( is_verdict @ SV42 )
= $false )
| ( ( ~ ( is_verdict @ SV58 ) )
= $true )
| ( ( SV58 != unknown )
= $true )
| ( ( SV42 = conflict )
= $true )
| ( ( SV58 = conflict )
= $true )
| ( ( ( box_verdict @ SV42 @ SV58 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(545,plain,
! [SV112: $i,SV107: $i,SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV107 @ SV112 )
| ( prec @ SV30 @ SV60 @ SV44 @ SV107 )
| ( prec @ SV73 @ SV15 @ SV112 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(546,plain,
! [SV73: $i,SV38: $i,SV15: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ~ ! [SY212: $i] :
( ~ ( prec @ SV30 @ SV60 @ SV44 @ SY212 )
| ! [SY213: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY212 @ SY213 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(547,plain,
! [SV60: $i,SV44: $i,SV30: $i,SV38: $i,SV15: $i,SV73: $i] :
( ( ~ ! [SY214: $i,SY215: $i] :
( ~ ( prec @ SV73 @ SV15 @ SY215 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY214 @ SY215 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(548,plain,
! [SV16: $i,SV31: $i,SV74: $i,SV84: $i] :
( ( ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV16 @ SV31 )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(549,plain,
! [SV16: $i,SV31: $i,SV74: $i,SV84: $i] :
( ( ( ~ ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV74 @ SV84 ) )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(550,plain,
! [SV85: $i,SV75: $i,SV31: $i,SV16: $i,SV108: $i] :
( ( ( ~ ( in_closed @ SV108 @ SV16 @ SV31 ) )
= $true )
| ( ( in_closed @ SV108 @ SV75 @ SV85 )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV75 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(551,plain,
! [SV86: $i,SV76: $i,SV32: $i,SV17: $i,SV109: $i] :
( ( ( ~ ( in_closed @ SV109 @ SV17 @ SV32 ) )
= $true )
| ( ( ~ ( in_closed @ SV109 @ SV76 @ SV86 ) )
= $true )
| ( ( axis_conflict @ SV17 @ SV32 @ SV76 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(552,plain,
! [SV17: $i,SV32: $i,SV77: $i,SV87: $i] :
( ( ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV17 @ SV32 )
= $true )
| ( ( axis_conflict @ SV17 @ SV32 @ SV77 @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(553,plain,
! [SV17: $i,SV32: $i,SV77: $i,SV87: $i] :
( ( ( in_closed @ ( sK3_X @ SV87 @ SV77 @ SV32 @ SV17 ) @ SV77 @ SV87 )
= $true )
| ( ( axis_conflict @ SV17 @ SV32 @ SV77 @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(554,plain,
! [SV88: $i,SV78: $i,SV33: $i,SV18: $i,SV102: $i] :
( ( ( in_closed @ SV102 @ SV18 @ SV33 )
= $false )
| ( ( ~ ( in_closed @ SV102 @ SV78 @ SV88 ) )
= $true )
| ( ( axis_compatible @ SV18 @ SV33 @ SV78 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(555,plain,
! [SV18: $i,SV33: $i,SV79: $i,SV89: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV18 @ SV33 ) )
= $false )
| ( ( axis_compatible @ SV18 @ SV33 @ SV79 @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(556,plain,
! [SV18: $i,SV33: $i,SV79: $i,SV89: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV79 @ SV89 ) )
= $false )
| ( ( axis_compatible @ SV18 @ SV33 @ SV79 @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(557,plain,
! [SV110: $i,SV96: $i,SV19: $i] :
( ( ( in_ropen @ SV19 @ SV96 @ SV110 )
= $false )
| ( ( leq @ SV96 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(558,plain,
! [SV103: $i,SV97: $i,SV19: $i] :
( ( ( in_ropen @ SV19 @ SV97 @ SV103 )
= $false )
| ( ( less @ SV19 @ SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(559,plain,
! [SV68: $i,SV51: $i] :
( ( ( SV51 = conflict )
= $false )
| ( ( is_verdict @ SV51 )
= $false )
| ( ( is_verdict @ SV68 )
= $false )
| ( ( ( box_verdict @ SV51 @ SV68 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(560,plain,
! [SV52: $i,SV69: $i] :
( ( ( SV69 = conflict )
= $false )
| ( ( is_verdict @ SV52 )
= $false )
| ( ( is_verdict @ SV69 )
= $false )
| ( ( ( box_verdict @ SV52 @ SV69 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(561,plain,
! [SV111: $i,SV98: $i,SV20: $i] :
( ( ( in_open @ SV20 @ SV98 @ SV111 )
= $false )
| ( ( less @ SV98 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(562,plain,
! [SV104: $i,SV99: $i,SV20: $i] :
( ( ( in_open @ SV20 @ SV99 @ SV104 )
= $false )
| ( ( less @ SV20 @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(563,plain,
! [SV41: $i,SV57: $i] :
( ( ( is_verdict @ SV57 )
= $false )
| ( ( is_verdict @ SV41 )
= $false )
| ( ( SV41 != unknown )
= $true )
| ( ( SV41 = conflict )
= $true )
| ( ( SV57 = conflict )
= $true )
| ( ( ( box_verdict @ SV41 @ SV57 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(564,plain,
! [SV42: $i,SV58: $i] :
( ( ( is_verdict @ SV58 )
= $false )
| ( ( is_verdict @ SV42 )
= $false )
| ( ( SV58 != unknown )
= $true )
| ( ( SV42 = conflict )
= $true )
| ( ( SV58 = conflict )
= $true )
| ( ( ( box_verdict @ SV42 @ SV58 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(565,plain,
! [SV112: $i,SV107: $i,SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ( ~ ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV107 @ SV112 ) )
= $true )
| ( ( ( prec @ SV30 @ SV60 @ SV44 @ SV107 )
| ( prec @ SV73 @ SV15 @ SV112 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(566,plain,
! [SV73: $i,SV38: $i,SV15: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ! [SY212: $i] :
( ~ ( prec @ SV30 @ SV60 @ SV44 @ SY212 )
| ! [SY213: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY212 @ SY213 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(567,plain,
! [SV60: $i,SV44: $i,SV30: $i,SV38: $i,SV15: $i,SV73: $i] :
( ( ! [SY214: $i,SY215: $i] :
( ~ ( prec @ SV73 @ SV15 @ SY215 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SY214 @ SY215 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(568,plain,
! [SV16: $i,SV31: $i,SV74: $i,SV84: $i] :
( ( ( in_closed @ ( sK1_X @ SV84 @ SV74 @ SV31 @ SV16 ) @ SV74 @ SV84 )
= $false )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV74 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(569,plain,
! [SV85: $i,SV75: $i,SV31: $i,SV16: $i,SV108: $i] :
( ( ( in_closed @ SV108 @ SV16 @ SV31 )
= $false )
| ( ( in_closed @ SV108 @ SV75 @ SV85 )
= $true )
| ( ( axis_subsumes @ SV16 @ SV31 @ SV75 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(570,plain,
! [SV86: $i,SV76: $i,SV32: $i,SV17: $i,SV109: $i] :
( ( ( in_closed @ SV109 @ SV17 @ SV32 )
= $false )
| ( ( ~ ( in_closed @ SV109 @ SV76 @ SV86 ) )
= $true )
| ( ( axis_conflict @ SV17 @ SV32 @ SV76 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(571,plain,
! [SV33: $i,SV18: $i,SV88: $i,SV78: $i,SV102: $i] :
( ( ( in_closed @ SV102 @ SV78 @ SV88 )
= $false )
| ( ( in_closed @ SV102 @ SV18 @ SV33 )
= $false )
| ( ( axis_compatible @ SV18 @ SV33 @ SV78 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(572,plain,
! [SV18: $i,SV33: $i,SV79: $i,SV89: $i] :
( ( ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV18 @ SV33 )
= $true )
| ( ( axis_compatible @ SV18 @ SV33 @ SV79 @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(573,plain,
! [SV18: $i,SV33: $i,SV79: $i,SV89: $i] :
( ( ( in_closed @ ( sK2_X @ SV89 @ SV79 @ SV33 @ SV18 ) @ SV79 @ SV89 )
= $true )
| ( ( axis_compatible @ SV18 @ SV33 @ SV79 @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(574,plain,
! [SV57: $i,SV41: $i] :
( ( ( SV41 = unknown )
= $false )
| ( ( is_verdict @ SV41 )
= $false )
| ( ( is_verdict @ SV57 )
= $false )
| ( ( SV41 = conflict )
= $true )
| ( ( SV57 = conflict )
= $true )
| ( ( ( box_verdict @ SV41 @ SV57 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(575,plain,
! [SV42: $i,SV58: $i] :
( ( ( SV58 = unknown )
= $false )
| ( ( is_verdict @ SV42 )
= $false )
| ( ( is_verdict @ SV58 )
= $false )
| ( ( SV42 = conflict )
= $true )
| ( ( SV58 = conflict )
= $true )
| ( ( ( box_verdict @ SV42 @ SV58 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(576,plain,
! [SV112: $i,SV107: $i,SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV107 @ SV112 )
= $false )
| ( ( ( prec @ SV30 @ SV60 @ SV44 @ SV107 )
| ( prec @ SV73 @ SV15 @ SV112 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(577,plain,
! [SV73: $i,SV38: $i,SV15: $i,SV113: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ~ ( prec @ SV30 @ SV60 @ SV44 @ SV113 )
| ! [SY239: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV113 @ SY239 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(578,plain,
! [SV114: $i,SV60: $i,SV44: $i,SV30: $i,SV38: $i,SV15: $i,SV73: $i] :
( ( ! [SY240: $i] :
( ~ ( prec @ SV73 @ SV15 @ SY240 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV114 @ SY240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(579,plain,
! [SV32: $i,SV17: $i,SV86: $i,SV76: $i,SV109: $i] :
( ( ( in_closed @ SV109 @ SV76 @ SV86 )
= $false )
| ( ( in_closed @ SV109 @ SV17 @ SV32 )
= $false )
| ( ( axis_conflict @ SV17 @ SV32 @ SV76 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(580,plain,
! [SV38: $i,SV112: $i,SV15: $i,SV73: $i,SV107: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ( prec @ SV30 @ SV60 @ SV44 @ SV107 )
= $true )
| ( ( prec @ SV73 @ SV15 @ SV112 @ SV38 )
= $true )
| ( ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV107 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(581,plain,
! [SV73: $i,SV38: $i,SV15: $i,SV113: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ( ~ ( prec @ SV30 @ SV60 @ SV44 @ SV113 ) )
= $true )
| ( ( ! [SY239: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV113 @ SY239 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(582,plain,
! [SV114: $i,SV60: $i,SV44: $i,SV30: $i,SV38: $i,SV115: $i,SV15: $i,SV73: $i] :
( ( ~ ( prec @ SV73 @ SV15 @ SV115 @ SV38 )
| ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV114 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(583,plain,
! [SV73: $i,SV38: $i,SV15: $i,SV113: $i,SV44: $i,SV60: $i,SV30: $i] :
( ( ( prec @ SV30 @ SV60 @ SV44 @ SV113 )
= $false )
| ( ( ! [SY239: $i] : ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV113 @ SY239 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(584,plain,
! [SV114: $i,SV60: $i,SV44: $i,SV30: $i,SV38: $i,SV115: $i,SV15: $i,SV73: $i] :
( ( ( ~ ( prec @ SV73 @ SV15 @ SV115 @ SV38 ) )
= $true )
| ( ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV114 @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(585,plain,
! [SV116: $i,SV113: $i,SV73: $i,SV60: $i,SV44: $i,SV38: $i,SV30: $i,SV15: $i] :
( ( ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV113 @ SV116 )
= $true )
| ( ( prec @ SV30 @ SV60 @ SV44 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(586,plain,
! [SV114: $i,SV60: $i,SV44: $i,SV30: $i,SV38: $i,SV115: $i,SV15: $i,SV73: $i] :
( ( ( prec @ SV73 @ SV15 @ SV115 @ SV38 )
= $false )
| ( ( disjoint @ SV15 @ SV30 @ SV38 @ SV44 @ SV60 @ SV73 @ SV114 @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(587,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[145,586,585,580,579,575,574,573,572,571,569,568,562,561,560,559,558,557,553,552,548,542,541,540,539,536,531,520,519,514,511,510,464,455,448,447,441,440,435,434,421,420,417,416,415,414,374,340,305,298,296,224,208,206,202,201,200,175,174,173,172,171,170,169,168,167,166,165,157,156,147,146]) ).
thf(588,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.20 % Computer : n003.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Oct 6 12:46:09 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/0.55
% 1.40/0.55 No.of.Axioms: 47
% 1.40/0.55
% 1.40/0.55 Length.of.Defs: 0
% 1.40/0.55
% 1.40/0.55 Contains.Choice.Funs: false
% 1.40/0.55 ........................
% 1.40/0.55
% 1.40/0.55 ********************************
% 1.40/0.55 * All subproblems solved! *
% 1.40/0.55 ********************************
% 1.40/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:47,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:587,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.40/0.55
% 1.40/0.55 %**** Beginning of derivation protocol ****
% 1.40/0.55 % SZS output start CNFRefutation
% See solution above
% 1.40/0.56
% 1.40/0.56 %**** End of derivation protocol ****
% 1.40/0.56 %**** no. of clauses in derivation: 588 ****
% 1.40/0.56 %**** clause counter: 587 ****
% 1.40/0.56
% 1.40/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:47,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:587,loop_count:0,foatp_calls:1,translation:fof_full)
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