%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT075+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:47 AM UTC 2026
% Result : Theorem 0.54s 0.41s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of formulae : 450 ( 280 unt; 0 typ; 0 def)
% Number of atoms : 2937 (1063 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 5363 ( 959 ~; 975 |; 84 &;3305 @)
% ( 16 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 8 con; 0-4 aty)
% Number of variables : 1348 ( 0 ^;1340 !; 8 ?;1348 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_axis_compatible,type,
axis_compatible: $i > $i > $i > $i > $o ).
thf(tp_axis_conflict,type,
axis_conflict: $i > $i > $i > $i > $o ).
thf(tp_axis_subsumes,type,
axis_subsumes: $i > $i > $i > $i > $o ).
thf(tp_box_verdict,type,
box_verdict: $i > $i > $i ).
thf(tp_compatible,type,
compatible: $i ).
thf(tp_conflict,type,
conflict: $i ).
thf(tp_in_closed,type,
in_closed: $i > $i > $i > $o ).
thf(tp_in_lopen,type,
in_lopen: $i > $i > $i > $o ).
thf(tp_in_open,type,
in_open: $i > $i > $i > $o ).
thf(tp_in_ropen,type,
in_ropen: $i > $i > $i > $o ).
thf(tp_is_verdict,type,
is_verdict: $i > $o ).
thf(tp_leq,type,
leq: $i > $i > $o ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $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_sK4_X,type,
sK4_X: $i > $i > $i > $i > $i ).
thf(tp_unknown,type,
unknown: $i ).
thf(tp_v0,type,
v0: $i ).
thf(tp_v600,type,
v600: $i ).
thf(tp_val,type,
val: $i > $o ).
thf(1,axiom,
v0 != v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
thf(2,axiom,
less @ v0 @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
thf(3,axiom,
val @ v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v600) ).
thf(4,axiom,
val @ v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v0) ).
thf(5,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 ) )
=> ( ( ( box_verdict @ V1 @ V2 )
= conflict )
| ( ( box_verdict @ V1 @ V2 )
= compatible )
| ( ( box_verdict @ V1 @ V2 )
= unknown ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_verdict_total) ).
thf(6,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = unknown )
| ( V2 = unknown ) )
& ( V1 != conflict )
& ( V2 != conflict ) )
=> ( ( box_verdict @ V1 @ V2 )
= unknown ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_unknown) ).
thf(7,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( V1 = compatible )
& ( V2 = compatible ) )
=> ( ( box_verdict @ V1 @ V2 )
= compatible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_compatible) ).
thf(8,axiom,
! [V1: $i,V2: $i] :
( ( ( is_verdict @ V1 )
& ( is_verdict @ V2 )
& ( ( V1 = conflict )
| ( V2 = conflict ) ) )
=> ( ( box_verdict @ V1 @ V2 )
= conflict ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_conflict) ).
thf(9,axiom,
! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdict_enum) ).
thf(10,axiom,
compatible != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
thf(11,axiom,
conflict != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
thf(12,axiom,
conflict != compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
thf(13,axiom,
is_verdict @ unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_is_verdict) ).
thf(14,axiom,
is_verdict @ compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible_is_verdict) ).
thf(15,axiom,
is_verdict @ conflict,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conflict_is_verdict) ).
thf(16,axiom,
! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_subsumes @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ! [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
=> ( in_closed @ X @ I2lo @ I2hi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_subsumes_def) ).
thf(17,axiom,
! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ? [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
& ( in_closed @ X @ I2lo @ I2hi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_compatible_def) ).
thf(18,axiom,
! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
( ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi )
<=> ~ ? [X: $i] :
( ( in_closed @ X @ I1lo @ I1hi )
& ( in_closed @ X @ I2lo @ I2hi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_conflict_def) ).
thf(19,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_open) ).
thf(20,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_ropen) ).
thf(21,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_lopen) ).
thf(22,axiom,
! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_closed) ).
thf(23,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_trans) ).
thf(24,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_leq_trans) ).
thf(25,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_less_trans) ).
thf(26,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
thf(27,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).
thf(28,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
thf(29,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).
thf(30,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive) ).
thf(31,axiom,
! [X: $i] :
~ ( less @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
thf(32,conjecture,
~ ? [X: $i] :
( ( in_open @ X @ v0 @ v600 )
& ( leq @ v600 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl302) ).
thf(33,negated_conjecture,
( ( ~ ? [X: $i] :
( ( in_open @ X @ v0 @ v600 )
& ( leq @ v600 @ X ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[32]) ).
thf(34,plain,
( ( ~ ? [X: $i] :
( ( in_open @ X @ v0 @ v600 )
& ( leq @ v600 @ X ) ) )
= $false ),
inference(unfold_def,[status(thm)],[33]) ).
thf(35,plain,
( ( v0 != v600 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(36,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(37,plain,
( ( val @ v600 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(38,plain,
( ( val @ v0 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(39,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)],[5]) ).
thf(40,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)],[6]) ).
thf(41,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)],[7]) ).
thf(42,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)],[8]) ).
thf(43,plain,
( ( ! [V: $i] :
( ( is_verdict @ V )
=> ( ( V = conflict )
| ( V = compatible )
| ( V = unknown ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(44,plain,
( ( compatible != unknown )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(45,plain,
( ( conflict != unknown )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(46,plain,
( ( conflict != compatible )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(47,plain,
( ( is_verdict @ unknown )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(48,plain,
( ( is_verdict @ compatible )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(49,plain,
( ( is_verdict @ conflict )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(50,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)],[16]) ).
thf(51,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)],[17]) ).
thf(52,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)],[18]) ).
thf(53,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_open @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(54,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_ropen @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( less @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(55,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_lopen @ X @ A @ B )
<=> ( ( less @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(56,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( in_closed @ X @ A @ B )
<=> ( ( leq @ A @ X )
& ( leq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(60,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(62,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(63,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
| ( X = Y )
| ( less @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(64,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( less @ X @ Y )
& ( less @ Y @ Z ) )
=> ( less @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(65,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(66,plain,
( ( ? [X: $i] :
( ( in_open @ X @ v0 @ v600 )
& ( leq @ v600 @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[34]) ).
thf(67,plain,
( ( ( in_open @ sK1_X @ v0 @ v600 )
& ( leq @ v600 @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(68,plain,
( ( v0 != v600 )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(69,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)],[39]) ).
thf(70,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)],[40]) ).
thf(71,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)],[41]) ).
thf(72,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)],[42]) ).
thf(73,plain,
( ( ! [V: $i] :
( ~ ( is_verdict @ V )
| ( V = unknown )
| ( V = conflict )
| ( V = compatible ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(74,plain,
( ( compatible != unknown )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(75,plain,
( ( conflict != unknown )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(76,plain,
( ( conflict != compatible )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(77,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ~ ( in_closed @ ( sK2_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)],[50]) ).
thf(78,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 @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(79,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 @ ( sK4_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK4_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(80,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)],[53]) ).
thf(81,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)],[54]) ).
thf(82,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)],[55]) ).
thf(83,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)],[56]) ).
thf(84,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ Z )
| ( leq @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(85,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ Y @ Z )
| ~ ( less @ X @ Y )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(86,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(87,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(88,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(89,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)],[62]) ).
thf(90,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ( X = Y )
| ( less @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(91,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(92,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(93,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ( X = Y )
| ( less @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(95,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)],[89]) ).
thf(96,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(97,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(98,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( less @ Y @ Z )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(99,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ Y @ Z )
| ~ ( less @ X @ Y )
| ( less @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(100,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ Z )
| ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(101,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)],[83]) ).
thf(102,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)],[82]) ).
thf(103,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)],[81]) ).
thf(104,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)],[80]) ).
thf(105,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 @ ( sK4_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK4_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) )
| ( axis_conflict @ I1lo @ I1hi @ I2lo @ I2hi ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(106,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 @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ( in_closed @ ( sK3_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I2lo @ I2hi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(107,plain,
( ( ! [I1lo: $i,I1hi: $i] :
( ! [I2lo: $i,I2hi: $i] :
( ( ( in_closed @ ( sK2_X @ I2hi @ I2lo @ I1hi @ I1lo ) @ I1lo @ I1hi )
& ~ ( in_closed @ ( sK2_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)],[77]) ).
thf(108,plain,
( ( is_verdict @ conflict )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(109,plain,
( ( is_verdict @ compatible )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(110,plain,
( ( is_verdict @ unknown )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(111,plain,
( ( conflict != compatible )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(112,plain,
( ( conflict != unknown )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(113,plain,
( ( compatible != unknown )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(114,plain,
( ( ! [V: $i] :
( ~ ( is_verdict @ V )
| ( V = unknown )
| ( V = conflict )
| ( V = compatible ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(115,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)],[72]) ).
thf(116,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)],[71]) ).
thf(117,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)],[70]) ).
thf(118,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)],[69]) ).
thf(119,plain,
( ( val @ v0 )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(120,plain,
( ( val @ v600 )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(121,plain,
( ( less @ v0 @ v600 )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(122,plain,
( ( v0 != v600 )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(123,plain,
( ( ( in_open @ sK1_X @ v0 @ v600 )
& ( leq @ v600 @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(124,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)],[115]) ).
thf(125,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)],[95]) ).
thf(126,plain,
( ( ~ ( ~ ( in_open @ sK1_X @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(127,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)],[117]) ).
thf(128,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( ~ ( in_closed @ ( sK2_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ~ ( in_closed @ ( sK2_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)],[107]) ).
thf(129,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 @ ( sK4_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( in_closed @ ( sK4_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) )
| ( axis_conflict @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(130,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)],[101]) ).
thf(131,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 @ ( sK3_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( in_closed @ ( sK3_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(132,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)],[102]) ).
thf(133,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)],[103]) ).
thf(134,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)],[104]) ).
thf(135,plain,
! [SV1: $i] :
( ( ~ ( less @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(136,plain,
! [SV2: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ( less @ SV2 @ SY58 )
| ~ ( less @ SY58 @ SY59 )
| ( less @ SV2 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(137,plain,
! [SV3: $i] :
( ( ! [SY60: $i] :
( ( less @ SY60 @ SV3 )
| ( SV3 = SY60 )
| ( less @ SV3 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(138,plain,
! [SV4: $i] :
( ( ! [SY61: $i] :
( ~ ( leq @ SV4 @ SY61 )
| ~ ( leq @ SY61 @ SV4 )
| ( SV4 = SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(139,plain,
! [SV5: $i] :
( ( ! [SY62: $i] :
( ~ ( less @ SV5 @ SY62 )
| ( leq @ SV5 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(140,plain,
! [SV6: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ( leq @ SV6 @ SY63 )
| ~ ( less @ SY63 @ SY64 )
| ( less @ SV6 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(141,plain,
! [SV7: $i] :
( ( ! [SY65: $i,SY66: $i] :
( ~ ( leq @ SY65 @ SY66 )
| ~ ( less @ SV7 @ SY65 )
| ( less @ SV7 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(142,plain,
! [SV8: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ~ ( leq @ SV8 @ SY67 )
| ~ ( leq @ SY67 @ SY68 )
| ( leq @ SV8 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(143,plain,
( ( conflict = compatible )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(144,plain,
( ( conflict = unknown )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(145,plain,
( ( compatible = unknown )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(146,plain,
! [SV9: $i] :
( ( ~ ( is_verdict @ SV9 )
| ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(147,plain,
! [SV10: $i] :
( ( ! [SY69: $i] :
( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SY69 )
| ( SV10 != compatible )
| ( SY69 != compatible )
| ( ( box_verdict @ SV10 @ SY69 )
= compatible ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(148,plain,
! [SV11: $i] :
( ( ! [SY70: $i] :
( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SY70 )
| ( ( box_verdict @ SV11 @ SY70 )
= unknown )
| ( ( box_verdict @ SV11 @ SY70 )
= conflict )
| ( ( box_verdict @ SV11 @ SY70 )
= compatible ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(149,plain,
( ( v0 = v600 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(150,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)],[124]) ).
thf(151,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)],[125]) ).
thf(152,plain,
( ( ~ ( in_open @ sK1_X @ v0 @ v600 )
| ~ ( leq @ v600 @ sK1_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(153,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)],[127]) ).
thf(154,plain,
! [SV12: $i] :
( ( ! [SY71: $i] :
~ ( ~ ! [SY72: $i,SY73: $i] :
( ~ ( ~ ( in_closed @ ( sK2_X @ SY73 @ SY72 @ SY71 @ SV12 ) @ SV12 @ SY71 )
| ~ ~ ( in_closed @ ( sK2_X @ SY73 @ SY72 @ SY71 @ SV12 ) @ SY72 @ SY73 ) )
| ( axis_subsumes @ SV12 @ SY71 @ SY72 @ SY73 ) )
| ~ ! [SY74: $i,SY75: $i] :
( ~ ( axis_subsumes @ SV12 @ SY71 @ SY74 @ SY75 )
| ! [SY76: $i] :
( ~ ( in_closed @ SY76 @ SV12 @ SY71 )
| ( in_closed @ SY76 @ SY74 @ SY75 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(155,plain,
! [SV13: $i] :
( ( ! [SY77: $i] :
~ ( ~ ! [SY78: $i,SY79: $i] :
( ~ ( axis_conflict @ SV13 @ SY77 @ SY78 @ SY79 )
| ! [SY80: $i] :
( ~ ( in_closed @ SY80 @ SV13 @ SY77 )
| ~ ( in_closed @ SY80 @ SY78 @ SY79 ) ) )
| ~ ! [SY81: $i,SY82: $i] :
( ~ ( ~ ( in_closed @ ( sK4_X @ SY82 @ SY81 @ SY77 @ SV13 ) @ SV13 @ SY77 )
| ~ ( in_closed @ ( sK4_X @ SY82 @ SY81 @ SY77 @ SV13 ) @ SY81 @ SY82 ) )
| ( axis_conflict @ SV13 @ SY77 @ SY81 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(156,plain,
! [SV14: $i] :
( ( ~ ( ~ ! [SY83: $i,SY84: $i] :
( ~ ( leq @ SY83 @ SV14 )
| ~ ( leq @ SV14 @ SY84 )
| ( in_closed @ SV14 @ SY83 @ SY84 ) )
| ~ ~ ( ~ ! [SY85: $i] :
( ! [SY86: $i] :
~ ( in_closed @ SV14 @ SY85 @ SY86 )
| ( leq @ SY85 @ SV14 ) )
| ~ ! [SY87: $i,SY88: $i] :
( ~ ( in_closed @ SV14 @ SY87 @ SY88 )
| ( leq @ SV14 @ SY88 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(157,plain,
! [SV15: $i] :
( ( ! [SY89: $i] :
~ ( ~ ! [SY90: $i,SY91: $i] :
( ! [SY92: $i] :
( ~ ( in_closed @ SY92 @ SV15 @ SY89 )
| ~ ( in_closed @ SY92 @ SY90 @ SY91 ) )
| ( axis_compatible @ SV15 @ SY89 @ SY90 @ SY91 ) )
| ~ ! [SY93: $i,SY94: $i] :
( ~ ( axis_compatible @ SV15 @ SY89 @ SY93 @ SY94 )
| ~ ( ~ ( in_closed @ ( sK3_X @ SY94 @ SY93 @ SY89 @ SV15 ) @ SV15 @ SY89 )
| ~ ( in_closed @ ( sK3_X @ SY94 @ SY93 @ SY89 @ SV15 ) @ SY93 @ SY94 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(158,plain,
! [SV16: $i] :
( ( ~ ( ~ ! [SY95: $i,SY96: $i] :
( ~ ( leq @ SV16 @ SY96 )
| ~ ( less @ SY95 @ SV16 )
| ( in_lopen @ SV16 @ SY95 @ SY96 ) )
| ~ ~ ( ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_lopen @ SV16 @ SY97 @ SY98 )
| ( leq @ SV16 @ SY98 ) )
| ~ ! [SY99: $i] :
( ! [SY100: $i] :
~ ( in_lopen @ SV16 @ SY99 @ SY100 )
| ( less @ SY99 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(159,plain,
! [SV17: $i] :
( ( ~ ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( leq @ SY101 @ SV17 )
| ~ ( less @ SV17 @ SY102 )
| ( in_ropen @ SV17 @ SY101 @ SY102 ) )
| ~ ~ ( ~ ! [SY103: $i] :
( ! [SY104: $i] :
~ ( in_ropen @ SV17 @ SY103 @ SY104 )
| ( leq @ SY103 @ SV17 ) )
| ~ ! [SY105: $i,SY106: $i] :
( ~ ( in_ropen @ SV17 @ SY105 @ SY106 )
| ( less @ SV17 @ SY106 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(160,plain,
! [SV18: $i] :
( ( ~ ( ~ ! [SY107: $i,SY108: $i] :
( ~ ( less @ SY107 @ SV18 )
| ~ ( less @ SV18 @ SY108 )
| ( in_open @ SV18 @ SY107 @ SY108 ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ! [SY110: $i] :
~ ( in_open @ SV18 @ SY109 @ SY110 )
| ( less @ SY109 @ SV18 ) )
| ~ ! [SY111: $i,SY112: $i] :
( ~ ( in_open @ SV18 @ SY111 @ SY112 )
| ( less @ SV18 @ SY112 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(161,plain,
! [SV1: $i] :
( ( less @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(162,plain,
! [SV19: $i,SV2: $i] :
( ( ! [SY113: $i] :
( ~ ( less @ SV2 @ SV19 )
| ~ ( less @ SV19 @ SY113 )
| ( less @ SV2 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(163,plain,
! [SV3: $i,SV20: $i] :
( ( ( less @ SV20 @ SV3 )
| ( SV3 = SV20 )
| ( less @ SV3 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(164,plain,
! [SV21: $i,SV4: $i] :
( ( ~ ( leq @ SV4 @ SV21 )
| ~ ( leq @ SV21 @ SV4 )
| ( SV4 = SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(165,plain,
! [SV22: $i,SV5: $i] :
( ( ~ ( less @ SV5 @ SV22 )
| ( leq @ SV5 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(166,plain,
! [SV23: $i,SV6: $i] :
( ( ! [SY114: $i] :
( ~ ( leq @ SV6 @ SV23 )
| ~ ( less @ SV23 @ SY114 )
| ( less @ SV6 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(167,plain,
! [SV7: $i,SV24: $i] :
( ( ! [SY115: $i] :
( ~ ( leq @ SV24 @ SY115 )
| ~ ( less @ SV7 @ SV24 )
| ( less @ SV7 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(168,plain,
! [SV25: $i,SV8: $i] :
( ( ! [SY116: $i] :
( ~ ( leq @ SV8 @ SV25 )
| ~ ( leq @ SV25 @ SY116 )
| ( leq @ SV8 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(169,plain,
! [SV9: $i] :
( ( ( ~ ( is_verdict @ SV9 ) )
= $true )
| ( ( ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV26: $i,SV10: $i] :
( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV26 )
| ( SV10 != compatible )
| ( SV26 != compatible )
| ( ( box_verdict @ SV10 @ SV26 )
= compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(171,plain,
! [SV27: $i,SV11: $i] :
( ( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SV27 )
| ( ( box_verdict @ SV11 @ SV27 )
= unknown )
| ( ( box_verdict @ SV11 @ SV27 )
= conflict )
| ( ( box_verdict @ SV11 @ SV27 )
= compatible ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(172,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)],[150]) ).
thf(173,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)],[150]) ).
thf(174,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(175,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)],[151]) ).
thf(176,plain,
( ( ~ ( in_open @ sK1_X @ v0 @ v600 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(177,plain,
( ( ~ ( leq @ v600 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(178,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)],[153]) ).
thf(179,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)],[153]) ).
thf(180,plain,
! [SV12: $i,SV28: $i] :
( ( ~ ( ~ ! [SY117: $i,SY118: $i] :
( ~ ( ~ ( in_closed @ ( sK2_X @ SY118 @ SY117 @ SV28 @ SV12 ) @ SV12 @ SV28 )
| ~ ~ ( in_closed @ ( sK2_X @ SY118 @ SY117 @ SV28 @ SV12 ) @ SY117 @ SY118 ) )
| ( axis_subsumes @ SV12 @ SV28 @ SY117 @ SY118 ) )
| ~ ! [SY119: $i,SY120: $i] :
( ~ ( axis_subsumes @ SV12 @ SV28 @ SY119 @ SY120 )
| ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV12 @ SV28 )
| ( in_closed @ SY121 @ SY119 @ SY120 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(181,plain,
! [SV29: $i,SV13: $i] :
( ( ~ ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( axis_conflict @ SV13 @ SV29 @ SY122 @ SY123 )
| ! [SY124: $i] :
( ~ ( in_closed @ SY124 @ SV13 @ SV29 )
| ~ ( in_closed @ SY124 @ SY122 @ SY123 ) ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( ~ ( in_closed @ ( sK4_X @ SY126 @ SY125 @ SV29 @ SV13 ) @ SV13 @ SV29 )
| ~ ( in_closed @ ( sK4_X @ SY126 @ SY125 @ SV29 @ SV13 ) @ SY125 @ SY126 ) )
| ( axis_conflict @ SV13 @ SV29 @ SY125 @ SY126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(182,plain,
! [SV14: $i] :
( ( ~ ! [SY83: $i,SY84: $i] :
( ~ ( leq @ SY83 @ SV14 )
| ~ ( leq @ SV14 @ SY84 )
| ( in_closed @ SV14 @ SY83 @ SY84 ) )
| ~ ~ ( ~ ! [SY85: $i] :
( ! [SY86: $i] :
~ ( in_closed @ SV14 @ SY85 @ SY86 )
| ( leq @ SY85 @ SV14 ) )
| ~ ! [SY87: $i,SY88: $i] :
( ~ ( in_closed @ SV14 @ SY87 @ SY88 )
| ( leq @ SV14 @ SY88 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(183,plain,
! [SV30: $i,SV15: $i] :
( ( ~ ( ~ ! [SY127: $i,SY128: $i] :
( ! [SY129: $i] :
( ~ ( in_closed @ SY129 @ SV15 @ SV30 )
| ~ ( in_closed @ SY129 @ SY127 @ SY128 ) )
| ( axis_compatible @ SV15 @ SV30 @ SY127 @ SY128 ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( axis_compatible @ SV15 @ SV30 @ SY130 @ SY131 )
| ~ ( ~ ( in_closed @ ( sK3_X @ SY131 @ SY130 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SY131 @ SY130 @ SV30 @ SV15 ) @ SY130 @ SY131 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(184,plain,
! [SV16: $i] :
( ( ~ ! [SY95: $i,SY96: $i] :
( ~ ( leq @ SV16 @ SY96 )
| ~ ( less @ SY95 @ SV16 )
| ( in_lopen @ SV16 @ SY95 @ SY96 ) )
| ~ ~ ( ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_lopen @ SV16 @ SY97 @ SY98 )
| ( leq @ SV16 @ SY98 ) )
| ~ ! [SY99: $i] :
( ! [SY100: $i] :
~ ( in_lopen @ SV16 @ SY99 @ SY100 )
| ( less @ SY99 @ SV16 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(185,plain,
! [SV17: $i] :
( ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( leq @ SY101 @ SV17 )
| ~ ( less @ SV17 @ SY102 )
| ( in_ropen @ SV17 @ SY101 @ SY102 ) )
| ~ ~ ( ~ ! [SY103: $i] :
( ! [SY104: $i] :
~ ( in_ropen @ SV17 @ SY103 @ SY104 )
| ( leq @ SY103 @ SV17 ) )
| ~ ! [SY105: $i,SY106: $i] :
( ~ ( in_ropen @ SV17 @ SY105 @ SY106 )
| ( less @ SV17 @ SY106 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(186,plain,
! [SV18: $i] :
( ( ~ ! [SY107: $i,SY108: $i] :
( ~ ( less @ SY107 @ SV18 )
| ~ ( less @ SV18 @ SY108 )
| ( in_open @ SV18 @ SY107 @ SY108 ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ! [SY110: $i] :
~ ( in_open @ SV18 @ SY109 @ SY110 )
| ( less @ SY109 @ SV18 ) )
| ~ ! [SY111: $i,SY112: $i] :
( ~ ( in_open @ SV18 @ SY111 @ SY112 )
| ( less @ SV18 @ SY112 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(187,plain,
! [SV31: $i,SV19: $i,SV2: $i] :
( ( ~ ( less @ SV2 @ SV19 )
| ~ ( less @ SV19 @ SV31 )
| ( less @ SV2 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(188,plain,
! [SV3: $i,SV20: $i] :
( ( ( less @ SV20 @ SV3 )
= $true )
| ( ( ( SV3 = SV20 )
| ( less @ SV3 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(189,plain,
! [SV21: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV21 )
| ~ ( leq @ SV21 @ SV4 ) )
= $true )
| ( ( SV4 = SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(190,plain,
! [SV22: $i,SV5: $i] :
( ( ( ~ ( less @ SV5 @ SV22 ) )
= $true )
| ( ( leq @ SV5 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(191,plain,
! [SV32: $i,SV23: $i,SV6: $i] :
( ( ~ ( leq @ SV6 @ SV23 )
| ~ ( less @ SV23 @ SV32 )
| ( less @ SV6 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(192,plain,
! [SV7: $i,SV33: $i,SV24: $i] :
( ( ~ ( leq @ SV24 @ SV33 )
| ~ ( less @ SV7 @ SV24 )
| ( less @ SV7 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(193,plain,
! [SV34: $i,SV25: $i,SV8: $i] :
( ( ~ ( leq @ SV8 @ SV25 )
| ~ ( leq @ SV25 @ SV34 )
| ( leq @ SV8 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(194,plain,
! [SV9: $i] :
( ( ( is_verdict @ SV9 )
= $false )
| ( ( ( SV9 = unknown )
| ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(195,plain,
! [SV26: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV26 )
| ( SV10 != compatible )
| ( SV26 != compatible ) )
= $true )
| ( ( ( box_verdict @ SV10 @ SV26 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(196,plain,
! [SV27: $i,SV11: $i] :
( ( ( ~ ( is_verdict @ SV11 )
| ~ ( is_verdict @ SV27 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV27 )
= unknown )
| ( ( box_verdict @ SV11 @ SV27 )
= conflict )
| ( ( box_verdict @ SV11 @ SV27 )
= compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(197,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)],[172]) ).
thf(198,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)],[173]) ).
thf(199,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(200,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)],[175]) ).
thf(201,plain,
( ( in_open @ sK1_X @ v0 @ v600 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(202,plain,
( ( leq @ v600 @ sK1_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(203,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)],[178]) ).
thf(204,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)],[179]) ).
thf(205,plain,
! [SV12: $i,SV28: $i] :
( ( ~ ! [SY117: $i,SY118: $i] :
( ~ ( ~ ( in_closed @ ( sK2_X @ SY118 @ SY117 @ SV28 @ SV12 ) @ SV12 @ SV28 )
| ~ ~ ( in_closed @ ( sK2_X @ SY118 @ SY117 @ SV28 @ SV12 ) @ SY117 @ SY118 ) )
| ( axis_subsumes @ SV12 @ SV28 @ SY117 @ SY118 ) )
| ~ ! [SY119: $i,SY120: $i] :
( ~ ( axis_subsumes @ SV12 @ SV28 @ SY119 @ SY120 )
| ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV12 @ SV28 )
| ( in_closed @ SY121 @ SY119 @ SY120 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(206,plain,
! [SV29: $i,SV13: $i] :
( ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( axis_conflict @ SV13 @ SV29 @ SY122 @ SY123 )
| ! [SY124: $i] :
( ~ ( in_closed @ SY124 @ SV13 @ SV29 )
| ~ ( in_closed @ SY124 @ SY122 @ SY123 ) ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( ~ ( in_closed @ ( sK4_X @ SY126 @ SY125 @ SV29 @ SV13 ) @ SV13 @ SV29 )
| ~ ( in_closed @ ( sK4_X @ SY126 @ SY125 @ SV29 @ SV13 ) @ SY125 @ SY126 ) )
| ( axis_conflict @ SV13 @ SV29 @ SY125 @ SY126 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(207,plain,
! [SV14: $i] :
( ( ~ ! [SY83: $i,SY84: $i] :
( ~ ( leq @ SY83 @ SV14 )
| ~ ( leq @ SV14 @ SY84 )
| ( in_closed @ SV14 @ SY83 @ SY84 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(208,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ! [SY85: $i] :
( ! [SY86: $i] :
~ ( in_closed @ SV14 @ SY85 @ SY86 )
| ( leq @ SY85 @ SV14 ) )
| ~ ! [SY87: $i,SY88: $i] :
( ~ ( in_closed @ SV14 @ SY87 @ SY88 )
| ( leq @ SV14 @ SY88 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(209,plain,
! [SV30: $i,SV15: $i] :
( ( ~ ! [SY127: $i,SY128: $i] :
( ! [SY129: $i] :
( ~ ( in_closed @ SY129 @ SV15 @ SV30 )
| ~ ( in_closed @ SY129 @ SY127 @ SY128 ) )
| ( axis_compatible @ SV15 @ SV30 @ SY127 @ SY128 ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( axis_compatible @ SV15 @ SV30 @ SY130 @ SY131 )
| ~ ( ~ ( in_closed @ ( sK3_X @ SY131 @ SY130 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SY131 @ SY130 @ SV30 @ SV15 ) @ SY130 @ SY131 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(210,plain,
! [SV16: $i] :
( ( ~ ! [SY95: $i,SY96: $i] :
( ~ ( leq @ SV16 @ SY96 )
| ~ ( less @ SY95 @ SV16 )
| ( in_lopen @ SV16 @ SY95 @ SY96 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(211,plain,
! [SV16: $i] :
( ( ~ ~ ( ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_lopen @ SV16 @ SY97 @ SY98 )
| ( leq @ SV16 @ SY98 ) )
| ~ ! [SY99: $i] :
( ! [SY100: $i] :
~ ( in_lopen @ SV16 @ SY99 @ SY100 )
| ( less @ SY99 @ SV16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(212,plain,
! [SV17: $i] :
( ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( leq @ SY101 @ SV17 )
| ~ ( less @ SV17 @ SY102 )
| ( in_ropen @ SV17 @ SY101 @ SY102 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(213,plain,
! [SV17: $i] :
( ( ~ ~ ( ~ ! [SY103: $i] :
( ! [SY104: $i] :
~ ( in_ropen @ SV17 @ SY103 @ SY104 )
| ( leq @ SY103 @ SV17 ) )
| ~ ! [SY105: $i,SY106: $i] :
( ~ ( in_ropen @ SV17 @ SY105 @ SY106 )
| ( less @ SV17 @ SY106 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(214,plain,
! [SV18: $i] :
( ( ~ ! [SY107: $i,SY108: $i] :
( ~ ( less @ SY107 @ SV18 )
| ~ ( less @ SV18 @ SY108 )
| ( in_open @ SV18 @ SY107 @ SY108 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(215,plain,
! [SV18: $i] :
( ( ~ ~ ( ~ ! [SY109: $i] :
( ! [SY110: $i] :
~ ( in_open @ SV18 @ SY109 @ SY110 )
| ( less @ SY109 @ SV18 ) )
| ~ ! [SY111: $i,SY112: $i] :
( ~ ( in_open @ SV18 @ SY111 @ SY112 )
| ( less @ SV18 @ SY112 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(216,plain,
! [SV31: $i,SV19: $i,SV2: $i] :
( ( ( ~ ( less @ SV2 @ SV19 )
| ~ ( less @ SV19 @ SV31 ) )
= $true )
| ( ( less @ SV2 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(217,plain,
! [SV20: $i,SV3: $i] :
( ( ( SV3 = SV20 )
= $true )
| ( ( less @ SV3 @ SV20 )
= $true )
| ( ( less @ SV20 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(218,plain,
! [SV21: $i,SV4: $i] :
( ( ( ~ ( leq @ SV4 @ SV21 ) )
= $true )
| ( ( ~ ( leq @ SV21 @ SV4 ) )
= $true )
| ( ( SV4 = SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(219,plain,
! [SV22: $i,SV5: $i] :
( ( ( less @ SV5 @ SV22 )
= $false )
| ( ( leq @ SV5 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(220,plain,
! [SV32: $i,SV23: $i,SV6: $i] :
( ( ( ~ ( leq @ SV6 @ SV23 )
| ~ ( less @ SV23 @ SV32 ) )
= $true )
| ( ( less @ SV6 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(221,plain,
! [SV7: $i,SV33: $i,SV24: $i] :
( ( ( ~ ( leq @ SV24 @ SV33 )
| ~ ( less @ SV7 @ SV24 ) )
= $true )
| ( ( less @ SV7 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(222,plain,
! [SV34: $i,SV25: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV25 )
| ~ ( leq @ SV25 @ SV34 ) )
= $true )
| ( ( leq @ SV8 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(223,plain,
! [SV9: $i] :
( ( ( SV9 = unknown )
= $true )
| ( ( ( SV9 = conflict )
| ( SV9 = compatible ) )
= $true )
| ( ( is_verdict @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(224,plain,
! [SV26: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV26 )
| ( SV10 != compatible ) )
= $true )
| ( ( SV26 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV26 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(225,plain,
! [SV27: $i,SV11: $i] :
( ( ( ~ ( is_verdict @ SV11 ) )
= $true )
| ( ( ~ ( is_verdict @ SV27 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV27 )
= unknown )
| ( ( box_verdict @ SV11 @ SV27 )
= conflict )
| ( ( box_verdict @ SV11 @ SV27 )
= compatible ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(226,plain,
! [SV35: $i] :
( ( ! [SY132: $i] :
( ~ ( is_verdict @ SV35 )
| ~ ( is_verdict @ SY132 )
| ( SV35 != conflict )
| ( ( box_verdict @ SV35 @ SY132 )
= conflict ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(227,plain,
! [SV36: $i] :
( ( ! [SY133: $i] :
( ~ ( is_verdict @ SV36 )
| ~ ( is_verdict @ SY133 )
| ( SY133 != conflict )
| ( ( box_verdict @ SV36 @ SY133 )
= conflict ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(228,plain,
! [SV37: $i] :
( ( ! [SY134: $i] :
( ~ ( leq @ SV37 @ SY134 )
| ( SV37 = SY134 )
| ( less @ SV37 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(229,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)],[200]) ).
thf(230,plain,
! [SV38: $i] :
( ( ! [SY135: $i] :
( ( SY135 = conflict )
| ( SV38 = conflict )
| ~ ( is_verdict @ SV38 )
| ~ ( is_verdict @ SY135 )
| ( SV38 != unknown )
| ( ( box_verdict @ SV38 @ SY135 )
= unknown ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(231,plain,
! [SV39: $i] :
( ( ! [SY136: $i] :
( ( SY136 = conflict )
| ( SV39 = conflict )
| ~ ( is_verdict @ SV39 )
| ~ ( is_verdict @ SY136 )
| ( SY136 != unknown )
| ( ( box_verdict @ SV39 @ SY136 )
= unknown ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(232,plain,
! [SV12: $i,SV28: $i] :
( ( ~ ! [SY117: $i,SY118: $i] :
( ~ ( ~ ( in_closed @ ( sK2_X @ SY118 @ SY117 @ SV28 @ SV12 ) @ SV12 @ SV28 )
| ~ ~ ( in_closed @ ( sK2_X @ SY118 @ SY117 @ SV28 @ SV12 ) @ SY117 @ SY118 ) )
| ( axis_subsumes @ SV12 @ SV28 @ SY117 @ SY118 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(233,plain,
! [SV28: $i,SV12: $i] :
( ( ~ ! [SY119: $i,SY120: $i] :
( ~ ( axis_subsumes @ SV12 @ SV28 @ SY119 @ SY120 )
| ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV12 @ SV28 )
| ( in_closed @ SY121 @ SY119 @ SY120 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(234,plain,
! [SV29: $i,SV13: $i] :
( ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( axis_conflict @ SV13 @ SV29 @ SY122 @ SY123 )
| ! [SY124: $i] :
( ~ ( in_closed @ SY124 @ SV13 @ SV29 )
| ~ ( in_closed @ SY124 @ SY122 @ SY123 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(235,plain,
! [SV13: $i,SV29: $i] :
( ( ~ ! [SY125: $i,SY126: $i] :
( ~ ( ~ ( in_closed @ ( sK4_X @ SY126 @ SY125 @ SV29 @ SV13 ) @ SV13 @ SV29 )
| ~ ( in_closed @ ( sK4_X @ SY126 @ SY125 @ SV29 @ SV13 ) @ SY125 @ SY126 ) )
| ( axis_conflict @ SV13 @ SV29 @ SY125 @ SY126 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(236,plain,
! [SV14: $i] :
( ( ! [SY83: $i,SY84: $i] :
( ~ ( leq @ SY83 @ SV14 )
| ~ ( leq @ SV14 @ SY84 )
| ( in_closed @ SV14 @ SY83 @ SY84 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(237,plain,
! [SV14: $i] :
( ( ~ ( ~ ! [SY85: $i] :
( ! [SY86: $i] :
~ ( in_closed @ SV14 @ SY85 @ SY86 )
| ( leq @ SY85 @ SV14 ) )
| ~ ! [SY87: $i,SY88: $i] :
( ~ ( in_closed @ SV14 @ SY87 @ SY88 )
| ( leq @ SV14 @ SY88 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(238,plain,
! [SV30: $i,SV15: $i] :
( ( ~ ! [SY127: $i,SY128: $i] :
( ! [SY129: $i] :
( ~ ( in_closed @ SY129 @ SV15 @ SV30 )
| ~ ( in_closed @ SY129 @ SY127 @ SY128 ) )
| ( axis_compatible @ SV15 @ SV30 @ SY127 @ SY128 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(239,plain,
! [SV30: $i,SV15: $i] :
( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( axis_compatible @ SV15 @ SV30 @ SY130 @ SY131 )
| ~ ( ~ ( in_closed @ ( sK3_X @ SY131 @ SY130 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SY131 @ SY130 @ SV30 @ SV15 ) @ SY130 @ SY131 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(240,plain,
! [SV16: $i] :
( ( ! [SY95: $i,SY96: $i] :
( ~ ( leq @ SV16 @ SY96 )
| ~ ( less @ SY95 @ SV16 )
| ( in_lopen @ SV16 @ SY95 @ SY96 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(241,plain,
! [SV16: $i] :
( ( ~ ( ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_lopen @ SV16 @ SY97 @ SY98 )
| ( leq @ SV16 @ SY98 ) )
| ~ ! [SY99: $i] :
( ! [SY100: $i] :
~ ( in_lopen @ SV16 @ SY99 @ SY100 )
| ( less @ SY99 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(242,plain,
! [SV17: $i] :
( ( ! [SY101: $i,SY102: $i] :
( ~ ( leq @ SY101 @ SV17 )
| ~ ( less @ SV17 @ SY102 )
| ( in_ropen @ SV17 @ SY101 @ SY102 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(243,plain,
! [SV17: $i] :
( ( ~ ( ~ ! [SY103: $i] :
( ! [SY104: $i] :
~ ( in_ropen @ SV17 @ SY103 @ SY104 )
| ( leq @ SY103 @ SV17 ) )
| ~ ! [SY105: $i,SY106: $i] :
( ~ ( in_ropen @ SV17 @ SY105 @ SY106 )
| ( less @ SV17 @ SY106 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(244,plain,
! [SV18: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ~ ( less @ SY107 @ SV18 )
| ~ ( less @ SV18 @ SY108 )
| ( in_open @ SV18 @ SY107 @ SY108 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(245,plain,
! [SV18: $i] :
( ( ~ ( ~ ! [SY109: $i] :
( ! [SY110: $i] :
~ ( in_open @ SV18 @ SY109 @ SY110 )
| ( less @ SY109 @ SV18 ) )
| ~ ! [SY111: $i,SY112: $i] :
( ~ ( in_open @ SV18 @ SY111 @ SY112 )
| ( less @ SV18 @ SY112 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(246,plain,
! [SV31: $i,SV19: $i,SV2: $i] :
( ( ( ~ ( less @ SV2 @ SV19 ) )
= $true )
| ( ( ~ ( less @ SV19 @ SV31 ) )
= $true )
| ( ( less @ SV2 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(247,plain,
! [SV21: $i,SV4: $i] :
( ( ( leq @ SV4 @ SV21 )
= $false )
| ( ( ~ ( leq @ SV21 @ SV4 ) )
= $true )
| ( ( SV4 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(248,plain,
! [SV32: $i,SV23: $i,SV6: $i] :
( ( ( ~ ( leq @ SV6 @ SV23 ) )
= $true )
| ( ( ~ ( less @ SV23 @ SV32 ) )
= $true )
| ( ( less @ SV6 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(249,plain,
! [SV7: $i,SV33: $i,SV24: $i] :
( ( ( ~ ( leq @ SV24 @ SV33 ) )
= $true )
| ( ( ~ ( less @ SV7 @ SV24 ) )
= $true )
| ( ( less @ SV7 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(250,plain,
! [SV34: $i,SV25: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV25 ) )
= $true )
| ( ( ~ ( leq @ SV25 @ SV34 ) )
= $true )
| ( ( leq @ SV8 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(251,plain,
! [SV9: $i] :
( ( ( SV9 = conflict )
= $true )
| ( ( SV9 = compatible )
= $true )
| ( ( SV9 = unknown )
= $true )
| ( ( is_verdict @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(252,plain,
! [SV26: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 )
| ~ ( is_verdict @ SV26 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV26 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV26 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(253,plain,
! [SV27: $i,SV11: $i] :
( ( ( is_verdict @ SV11 )
= $false )
| ( ( ~ ( is_verdict @ SV27 ) )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV27 )
= unknown )
| ( ( box_verdict @ SV11 @ SV27 )
= conflict )
| ( ( box_verdict @ SV11 @ SV27 )
= compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(254,plain,
! [SV40: $i,SV35: $i] :
( ( ~ ( is_verdict @ SV35 )
| ~ ( is_verdict @ SV40 )
| ( SV35 != conflict )
| ( ( box_verdict @ SV35 @ SV40 )
= conflict ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(255,plain,
! [SV41: $i,SV36: $i] :
( ( ~ ( is_verdict @ SV36 )
| ~ ( is_verdict @ SV41 )
| ( SV41 != conflict )
| ( ( box_verdict @ SV36 @ SV41 )
= conflict ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(256,plain,
! [SV42: $i,SV37: $i] :
( ( ~ ( leq @ SV37 @ SV42 )
| ( SV37 = SV42 )
| ( less @ SV37 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(257,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(258,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(259,plain,
! [SV38: $i,SV43: $i] :
( ( ( SV43 = conflict )
| ( SV38 = conflict )
| ~ ( is_verdict @ SV38 )
| ~ ( is_verdict @ SV43 )
| ( SV38 != unknown )
| ( ( box_verdict @ SV38 @ SV43 )
= unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(260,plain,
! [SV39: $i,SV44: $i] :
( ( ( SV44 = conflict )
| ( SV39 = conflict )
| ~ ( is_verdict @ SV39 )
| ~ ( is_verdict @ SV44 )
| ( SV44 != unknown )
| ( ( box_verdict @ SV39 @ SV44 )
= unknown ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(261,plain,
! [SV12: $i,SV28: $i] :
( ( ! [SY117: $i,SY118: $i] :
( ~ ( ~ ( in_closed @ ( sK2_X @ SY118 @ SY117 @ SV28 @ SV12 ) @ SV12 @ SV28 )
| ~ ~ ( in_closed @ ( sK2_X @ SY118 @ SY117 @ SV28 @ SV12 ) @ SY117 @ SY118 ) )
| ( axis_subsumes @ SV12 @ SV28 @ SY117 @ SY118 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(262,plain,
! [SV28: $i,SV12: $i] :
( ( ! [SY119: $i,SY120: $i] :
( ~ ( axis_subsumes @ SV12 @ SV28 @ SY119 @ SY120 )
| ! [SY121: $i] :
( ~ ( in_closed @ SY121 @ SV12 @ SV28 )
| ( in_closed @ SY121 @ SY119 @ SY120 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(263,plain,
! [SV29: $i,SV13: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ~ ( axis_conflict @ SV13 @ SV29 @ SY122 @ SY123 )
| ! [SY124: $i] :
( ~ ( in_closed @ SY124 @ SV13 @ SV29 )
| ~ ( in_closed @ SY124 @ SY122 @ SY123 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(264,plain,
! [SV13: $i,SV29: $i] :
( ( ! [SY125: $i,SY126: $i] :
( ~ ( ~ ( in_closed @ ( sK4_X @ SY126 @ SY125 @ SV29 @ SV13 ) @ SV13 @ SV29 )
| ~ ( in_closed @ ( sK4_X @ SY126 @ SY125 @ SV29 @ SV13 ) @ SY125 @ SY126 ) )
| ( axis_conflict @ SV13 @ SV29 @ SY125 @ SY126 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(265,plain,
! [SV14: $i,SV45: $i] :
( ( ! [SY137: $i] :
( ~ ( leq @ SV45 @ SV14 )
| ~ ( leq @ SV14 @ SY137 )
| ( in_closed @ SV14 @ SV45 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(266,plain,
! [SV14: $i] :
( ( ~ ! [SY85: $i] :
( ! [SY86: $i] :
~ ( in_closed @ SV14 @ SY85 @ SY86 )
| ( leq @ SY85 @ SV14 ) )
| ~ ! [SY87: $i,SY88: $i] :
( ~ ( in_closed @ SV14 @ SY87 @ SY88 )
| ( leq @ SV14 @ SY88 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(267,plain,
! [SV30: $i,SV15: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ! [SY129: $i] :
( ~ ( in_closed @ SY129 @ SV15 @ SV30 )
| ~ ( in_closed @ SY129 @ SY127 @ SY128 ) )
| ( axis_compatible @ SV15 @ SV30 @ SY127 @ SY128 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(268,plain,
! [SV30: $i,SV15: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ~ ( axis_compatible @ SV15 @ SV30 @ SY130 @ SY131 )
| ~ ( ~ ( in_closed @ ( sK3_X @ SY131 @ SY130 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SY131 @ SY130 @ SV30 @ SV15 ) @ SY130 @ SY131 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(269,plain,
! [SV46: $i,SV16: $i] :
( ( ! [SY138: $i] :
( ~ ( leq @ SV16 @ SY138 )
| ~ ( less @ SV46 @ SV16 )
| ( in_lopen @ SV16 @ SV46 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(270,plain,
! [SV16: $i] :
( ( ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_lopen @ SV16 @ SY97 @ SY98 )
| ( leq @ SV16 @ SY98 ) )
| ~ ! [SY99: $i] :
( ! [SY100: $i] :
~ ( in_lopen @ SV16 @ SY99 @ SY100 )
| ( less @ SY99 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(271,plain,
! [SV17: $i,SV47: $i] :
( ( ! [SY139: $i] :
( ~ ( leq @ SV47 @ SV17 )
| ~ ( less @ SV17 @ SY139 )
| ( in_ropen @ SV17 @ SV47 @ SY139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(272,plain,
! [SV17: $i] :
( ( ~ ! [SY103: $i] :
( ! [SY104: $i] :
~ ( in_ropen @ SV17 @ SY103 @ SY104 )
| ( leq @ SY103 @ SV17 ) )
| ~ ! [SY105: $i,SY106: $i] :
( ~ ( in_ropen @ SV17 @ SY105 @ SY106 )
| ( less @ SV17 @ SY106 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(273,plain,
! [SV18: $i,SV48: $i] :
( ( ! [SY140: $i] :
( ~ ( less @ SV48 @ SV18 )
| ~ ( less @ SV18 @ SY140 )
| ( in_open @ SV18 @ SV48 @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(274,plain,
! [SV18: $i] :
( ( ~ ! [SY109: $i] :
( ! [SY110: $i] :
~ ( in_open @ SV18 @ SY109 @ SY110 )
| ( less @ SY109 @ SV18 ) )
| ~ ! [SY111: $i,SY112: $i] :
( ~ ( in_open @ SV18 @ SY111 @ SY112 )
| ( less @ SV18 @ SY112 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(275,plain,
! [SV31: $i,SV19: $i,SV2: $i] :
( ( ( less @ SV2 @ SV19 )
= $false )
| ( ( ~ ( less @ SV19 @ SV31 ) )
= $true )
| ( ( less @ SV2 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(276,plain,
! [SV4: $i,SV21: $i] :
( ( ( leq @ SV21 @ SV4 )
= $false )
| ( ( leq @ SV4 @ SV21 )
= $false )
| ( ( SV4 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(277,plain,
! [SV32: $i,SV23: $i,SV6: $i] :
( ( ( leq @ SV6 @ SV23 )
= $false )
| ( ( ~ ( less @ SV23 @ SV32 ) )
= $true )
| ( ( less @ SV6 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(278,plain,
! [SV7: $i,SV33: $i,SV24: $i] :
( ( ( leq @ SV24 @ SV33 )
= $false )
| ( ( ~ ( less @ SV7 @ SV24 ) )
= $true )
| ( ( less @ SV7 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(279,plain,
! [SV34: $i,SV25: $i,SV8: $i] :
( ( ( leq @ SV8 @ SV25 )
= $false )
| ( ( ~ ( leq @ SV25 @ SV34 ) )
= $true )
| ( ( leq @ SV8 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(280,plain,
! [SV26: $i,SV10: $i] :
( ( ( ~ ( is_verdict @ SV10 ) )
= $true )
| ( ( ~ ( is_verdict @ SV26 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV26 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV26 )
= compatible )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(281,plain,
! [SV11: $i,SV27: $i] :
( ( ( is_verdict @ SV27 )
= $false )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( ( ( box_verdict @ SV11 @ SV27 )
= unknown )
| ( ( box_verdict @ SV11 @ SV27 )
= conflict )
| ( ( box_verdict @ SV11 @ SV27 )
= compatible ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(282,plain,
! [SV40: $i,SV35: $i] :
( ( ( ~ ( is_verdict @ SV35 )
| ~ ( is_verdict @ SV40 )
| ( SV35 != conflict ) )
= $true )
| ( ( ( box_verdict @ SV35 @ SV40 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(283,plain,
! [SV41: $i,SV36: $i] :
( ( ( ~ ( is_verdict @ SV36 )
| ~ ( is_verdict @ SV41 )
| ( SV41 != conflict ) )
= $true )
| ( ( ( box_verdict @ SV36 @ SV41 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(284,plain,
! [SV42: $i,SV37: $i] :
( ( ( ~ ( leq @ SV37 @ SV42 ) )
= $true )
| ( ( ( SV37 = SV42 )
| ( less @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(285,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(286,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(287,plain,
! [SV38: $i,SV43: $i] :
( ( ( ( SV43 = conflict )
| ( SV38 = conflict )
| ~ ( is_verdict @ SV38 )
| ~ ( is_verdict @ SV43 )
| ( SV38 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV38 @ SV43 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(288,plain,
! [SV39: $i,SV44: $i] :
( ( ( ( SV44 = conflict )
| ( SV39 = conflict )
| ~ ( is_verdict @ SV39 )
| ~ ( is_verdict @ SV44 )
| ( SV44 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV39 @ SV44 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(289,plain,
! [SV12: $i,SV28: $i,SV49: $i] :
( ( ! [SY141: $i] :
( ~ ( ~ ( in_closed @ ( sK2_X @ SY141 @ SV49 @ SV28 @ SV12 ) @ SV12 @ SV28 )
| ~ ~ ( in_closed @ ( sK2_X @ SY141 @ SV49 @ SV28 @ SV12 ) @ SV49 @ SY141 ) )
| ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(290,plain,
! [SV50: $i,SV28: $i,SV12: $i] :
( ( ! [SY142: $i] :
( ~ ( axis_subsumes @ SV12 @ SV28 @ SV50 @ SY142 )
| ! [SY143: $i] :
( ~ ( in_closed @ SY143 @ SV12 @ SV28 )
| ( in_closed @ SY143 @ SV50 @ SY142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(291,plain,
! [SV51: $i,SV29: $i,SV13: $i] :
( ( ! [SY144: $i] :
( ~ ( axis_conflict @ SV13 @ SV29 @ SV51 @ SY144 )
| ! [SY145: $i] :
( ~ ( in_closed @ SY145 @ SV13 @ SV29 )
| ~ ( in_closed @ SY145 @ SV51 @ SY144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(292,plain,
! [SV13: $i,SV29: $i,SV52: $i] :
( ( ! [SY146: $i] :
( ~ ( ~ ( in_closed @ ( sK4_X @ SY146 @ SV52 @ SV29 @ SV13 ) @ SV13 @ SV29 )
| ~ ( in_closed @ ( sK4_X @ SY146 @ SV52 @ SV29 @ SV13 ) @ SV52 @ SY146 ) )
| ( axis_conflict @ SV13 @ SV29 @ SV52 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(293,plain,
! [SV53: $i,SV14: $i,SV45: $i] :
( ( ~ ( leq @ SV45 @ SV14 )
| ~ ( leq @ SV14 @ SV53 )
| ( in_closed @ SV14 @ SV45 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(294,plain,
! [SV14: $i] :
( ( ~ ! [SY85: $i] :
( ! [SY86: $i] :
~ ( in_closed @ SV14 @ SY85 @ SY86 )
| ( leq @ SY85 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(295,plain,
! [SV14: $i] :
( ( ~ ! [SY87: $i,SY88: $i] :
( ~ ( in_closed @ SV14 @ SY87 @ SY88 )
| ( leq @ SV14 @ SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(296,plain,
! [SV54: $i,SV30: $i,SV15: $i] :
( ( ! [SY147: $i] :
( ! [SY148: $i] :
( ~ ( in_closed @ SY148 @ SV15 @ SV30 )
| ~ ( in_closed @ SY148 @ SV54 @ SY147 ) )
| ( axis_compatible @ SV15 @ SV30 @ SV54 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(297,plain,
! [SV55: $i,SV30: $i,SV15: $i] :
( ( ! [SY149: $i] :
( ~ ( axis_compatible @ SV15 @ SV30 @ SV55 @ SY149 )
| ~ ( ~ ( in_closed @ ( sK3_X @ SY149 @ SV55 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SY149 @ SV55 @ SV30 @ SV15 ) @ SV55 @ SY149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(298,plain,
! [SV46: $i,SV56: $i,SV16: $i] :
( ( ~ ( leq @ SV16 @ SV56 )
| ~ ( less @ SV46 @ SV16 )
| ( in_lopen @ SV16 @ SV46 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(299,plain,
! [SV16: $i] :
( ( ~ ! [SY97: $i,SY98: $i] :
( ~ ( in_lopen @ SV16 @ SY97 @ SY98 )
| ( leq @ SV16 @ SY98 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(300,plain,
! [SV16: $i] :
( ( ~ ! [SY99: $i] :
( ! [SY100: $i] :
~ ( in_lopen @ SV16 @ SY99 @ SY100 )
| ( less @ SY99 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(301,plain,
! [SV57: $i,SV17: $i,SV47: $i] :
( ( ~ ( leq @ SV47 @ SV17 )
| ~ ( less @ SV17 @ SV57 )
| ( in_ropen @ SV17 @ SV47 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(302,plain,
! [SV17: $i] :
( ( ~ ! [SY103: $i] :
( ! [SY104: $i] :
~ ( in_ropen @ SV17 @ SY103 @ SY104 )
| ( leq @ SY103 @ SV17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(303,plain,
! [SV17: $i] :
( ( ~ ! [SY105: $i,SY106: $i] :
( ~ ( in_ropen @ SV17 @ SY105 @ SY106 )
| ( less @ SV17 @ SY106 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(304,plain,
! [SV58: $i,SV18: $i,SV48: $i] :
( ( ~ ( less @ SV48 @ SV18 )
| ~ ( less @ SV18 @ SV58 )
| ( in_open @ SV18 @ SV48 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(305,plain,
! [SV18: $i] :
( ( ~ ! [SY109: $i] :
( ! [SY110: $i] :
~ ( in_open @ SV18 @ SY109 @ SY110 )
| ( less @ SY109 @ SV18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(306,plain,
! [SV18: $i] :
( ( ~ ! [SY111: $i,SY112: $i] :
( ~ ( in_open @ SV18 @ SY111 @ SY112 )
| ( less @ SV18 @ SY112 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(307,plain,
! [SV2: $i,SV31: $i,SV19: $i] :
( ( ( less @ SV19 @ SV31 )
= $false )
| ( ( less @ SV2 @ SV19 )
= $false )
| ( ( less @ SV2 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(308,plain,
! [SV6: $i,SV32: $i,SV23: $i] :
( ( ( less @ SV23 @ SV32 )
= $false )
| ( ( leq @ SV6 @ SV23 )
= $false )
| ( ( less @ SV6 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(309,plain,
! [SV33: $i,SV24: $i,SV7: $i] :
( ( ( less @ SV7 @ SV24 )
= $false )
| ( ( leq @ SV24 @ SV33 )
= $false )
| ( ( less @ SV7 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(310,plain,
! [SV8: $i,SV34: $i,SV25: $i] :
( ( ( leq @ SV25 @ SV34 )
= $false )
| ( ( leq @ SV8 @ SV25 )
= $false )
| ( ( leq @ SV8 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(311,plain,
! [SV26: $i,SV10: $i] :
( ( ( is_verdict @ SV10 )
= $false )
| ( ( ~ ( is_verdict @ SV26 ) )
= $true )
| ( ( SV10 != compatible )
= $true )
| ( ( SV26 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV26 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(312,plain,
! [SV27: $i,SV11: $i] :
( ( ( ( box_verdict @ SV11 @ SV27 )
= unknown )
= $true )
| ( ( ( ( box_verdict @ SV11 @ SV27 )
= conflict )
| ( ( box_verdict @ SV11 @ SV27 )
= compatible ) )
= $true )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( is_verdict @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(313,plain,
! [SV40: $i,SV35: $i] :
( ( ( ~ ( is_verdict @ SV35 )
| ~ ( is_verdict @ SV40 ) )
= $true )
| ( ( SV35 != conflict )
= $true )
| ( ( ( box_verdict @ SV35 @ SV40 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(314,plain,
! [SV41: $i,SV36: $i] :
( ( ( ~ ( is_verdict @ SV36 )
| ~ ( is_verdict @ SV41 ) )
= $true )
| ( ( SV41 != conflict )
= $true )
| ( ( ( box_verdict @ SV36 @ SV41 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(315,plain,
! [SV42: $i,SV37: $i] :
( ( ( leq @ SV37 @ SV42 )
= $false )
| ( ( ( SV37 = SV42 )
| ( less @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(316,plain,
! [SV59: $i] :
( ( ! [SY150: $i] :
( ( SV59 != SY150 )
| ( leq @ SV59 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(317,plain,
! [SV60: $i] :
( ( ! [SY151: $i] :
( ~ ( less @ SV60 @ SY151 )
| ( leq @ SV60 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(318,plain,
! [SV38: $i,SV43: $i] :
( ( ( SV43 = conflict )
= $true )
| ( ( ( SV38 = conflict )
| ~ ( is_verdict @ SV38 )
| ~ ( is_verdict @ SV43 )
| ( SV38 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV38 @ SV43 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(319,plain,
! [SV39: $i,SV44: $i] :
( ( ( SV44 = conflict )
= $true )
| ( ( ( SV39 = conflict )
| ~ ( is_verdict @ SV39 )
| ~ ( is_verdict @ SV44 )
| ( SV44 != unknown ) )
= $true )
| ( ( ( box_verdict @ SV39 @ SV44 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(320,plain,
! [SV12: $i,SV28: $i,SV49: $i,SV61: $i] :
( ( ~ ( ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV12 @ SV28 )
| ~ ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV49 @ SV61 ) )
| ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(321,plain,
! [SV62: $i,SV50: $i,SV28: $i,SV12: $i] :
( ( ~ ( axis_subsumes @ SV12 @ SV28 @ SV50 @ SV62 )
| ! [SY152: $i] :
( ~ ( in_closed @ SY152 @ SV12 @ SV28 )
| ( in_closed @ SY152 @ SV50 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(322,plain,
! [SV63: $i,SV51: $i,SV29: $i,SV13: $i] :
( ( ~ ( axis_conflict @ SV13 @ SV29 @ SV51 @ SV63 )
| ! [SY153: $i] :
( ~ ( in_closed @ SY153 @ SV13 @ SV29 )
| ~ ( in_closed @ SY153 @ SV51 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(323,plain,
! [SV13: $i,SV29: $i,SV52: $i,SV64: $i] :
( ( ~ ( ~ ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV13 @ SV29 )
| ~ ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV52 @ SV64 ) )
| ( axis_conflict @ SV13 @ SV29 @ SV52 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(324,plain,
! [SV53: $i,SV14: $i,SV45: $i] :
( ( ( ~ ( leq @ SV45 @ SV14 )
| ~ ( leq @ SV14 @ SV53 ) )
= $true )
| ( ( in_closed @ SV14 @ SV45 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(325,plain,
! [SV14: $i] :
( ( ! [SY85: $i] :
( ! [SY86: $i] :
~ ( in_closed @ SV14 @ SY85 @ SY86 )
| ( leq @ SY85 @ SV14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(326,plain,
! [SV14: $i] :
( ( ! [SY87: $i,SY88: $i] :
( ~ ( in_closed @ SV14 @ SY87 @ SY88 )
| ( leq @ SV14 @ SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(327,plain,
! [SV65: $i,SV54: $i,SV30: $i,SV15: $i] :
( ( ! [SY154: $i] :
( ~ ( in_closed @ SY154 @ SV15 @ SV30 )
| ~ ( in_closed @ SY154 @ SV54 @ SV65 ) )
| ( axis_compatible @ SV15 @ SV30 @ SV54 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(328,plain,
! [SV66: $i,SV55: $i,SV30: $i,SV15: $i] :
( ( ~ ( axis_compatible @ SV15 @ SV30 @ SV55 @ SV66 )
| ~ ( ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV55 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(329,plain,
! [SV46: $i,SV56: $i,SV16: $i] :
( ( ( ~ ( leq @ SV16 @ SV56 )
| ~ ( less @ SV46 @ SV16 ) )
= $true )
| ( ( in_lopen @ SV16 @ SV46 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(330,plain,
! [SV16: $i] :
( ( ! [SY97: $i,SY98: $i] :
( ~ ( in_lopen @ SV16 @ SY97 @ SY98 )
| ( leq @ SV16 @ SY98 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(331,plain,
! [SV16: $i] :
( ( ! [SY99: $i] :
( ! [SY100: $i] :
~ ( in_lopen @ SV16 @ SY99 @ SY100 )
| ( less @ SY99 @ SV16 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(332,plain,
! [SV57: $i,SV17: $i,SV47: $i] :
( ( ( ~ ( leq @ SV47 @ SV17 )
| ~ ( less @ SV17 @ SV57 ) )
= $true )
| ( ( in_ropen @ SV17 @ SV47 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(333,plain,
! [SV17: $i] :
( ( ! [SY103: $i] :
( ! [SY104: $i] :
~ ( in_ropen @ SV17 @ SY103 @ SY104 )
| ( leq @ SY103 @ SV17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(334,plain,
! [SV17: $i] :
( ( ! [SY105: $i,SY106: $i] :
( ~ ( in_ropen @ SV17 @ SY105 @ SY106 )
| ( less @ SV17 @ SY106 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(335,plain,
! [SV58: $i,SV18: $i,SV48: $i] :
( ( ( ~ ( less @ SV48 @ SV18 )
| ~ ( less @ SV18 @ SV58 ) )
= $true )
| ( ( in_open @ SV18 @ SV48 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(336,plain,
! [SV18: $i] :
( ( ! [SY109: $i] :
( ! [SY110: $i] :
~ ( in_open @ SV18 @ SY109 @ SY110 )
| ( less @ SY109 @ SV18 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(337,plain,
! [SV18: $i] :
( ( ! [SY111: $i,SY112: $i] :
( ~ ( in_open @ SV18 @ SY111 @ SY112 )
| ( less @ SV18 @ SY112 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(338,plain,
! [SV10: $i,SV26: $i] :
( ( ( is_verdict @ SV26 )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( SV10 != compatible )
= $true )
| ( ( SV26 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV26 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(339,plain,
! [SV27: $i,SV11: $i] :
( ( ( ( box_verdict @ SV11 @ SV27 )
= conflict )
= $true )
| ( ( ( box_verdict @ SV11 @ SV27 )
= compatible )
= $true )
| ( ( ( box_verdict @ SV11 @ SV27 )
= unknown )
= $true )
| ( ( is_verdict @ SV11 )
= $false )
| ( ( is_verdict @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(340,plain,
! [SV40: $i,SV35: $i] :
( ( ( ~ ( is_verdict @ SV35 ) )
= $true )
| ( ( ~ ( is_verdict @ SV40 ) )
= $true )
| ( ( SV35 != conflict )
= $true )
| ( ( ( box_verdict @ SV35 @ SV40 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(341,plain,
! [SV41: $i,SV36: $i] :
( ( ( ~ ( is_verdict @ SV36 ) )
= $true )
| ( ( ~ ( is_verdict @ SV41 ) )
= $true )
| ( ( SV41 != conflict )
= $true )
| ( ( ( box_verdict @ SV36 @ SV41 )
= conflict )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(342,plain,
! [SV42: $i,SV37: $i] :
( ( ( SV37 = SV42 )
= $true )
| ( ( less @ SV37 @ SV42 )
= $true )
| ( ( leq @ SV37 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(343,plain,
! [SV67: $i,SV59: $i] :
( ( ( SV59 != SV67 )
| ( leq @ SV59 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(344,plain,
! [SV68: $i,SV60: $i] :
( ( ~ ( less @ SV60 @ SV68 )
| ( leq @ SV60 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(345,plain,
! [SV43: $i,SV38: $i] :
( ( ( SV38 = conflict )
= $true )
| ( ( ~ ( is_verdict @ SV38 )
| ~ ( is_verdict @ SV43 )
| ( SV38 != unknown ) )
= $true )
| ( ( SV43 = conflict )
= $true )
| ( ( ( box_verdict @ SV38 @ SV43 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(346,plain,
! [SV44: $i,SV39: $i] :
( ( ( SV39 = conflict )
= $true )
| ( ( ~ ( is_verdict @ SV39 )
| ~ ( is_verdict @ SV44 )
| ( SV44 != unknown ) )
= $true )
| ( ( SV44 = conflict )
= $true )
| ( ( ( box_verdict @ SV39 @ SV44 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(347,plain,
! [SV12: $i,SV28: $i,SV49: $i,SV61: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV12 @ SV28 )
| ~ ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV49 @ SV61 ) ) )
= $true )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(348,plain,
! [SV62: $i,SV50: $i,SV28: $i,SV12: $i] :
( ( ( ~ ( axis_subsumes @ SV12 @ SV28 @ SV50 @ SV62 ) )
= $true )
| ( ( ! [SY152: $i] :
( ~ ( in_closed @ SY152 @ SV12 @ SV28 )
| ( in_closed @ SY152 @ SV50 @ SV62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(349,plain,
! [SV63: $i,SV51: $i,SV29: $i,SV13: $i] :
( ( ( ~ ( axis_conflict @ SV13 @ SV29 @ SV51 @ SV63 ) )
= $true )
| ( ( ! [SY153: $i] :
( ~ ( in_closed @ SY153 @ SV13 @ SV29 )
| ~ ( in_closed @ SY153 @ SV51 @ SV63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(350,plain,
! [SV13: $i,SV29: $i,SV52: $i,SV64: $i] :
( ( ( ~ ( ~ ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV13 @ SV29 )
| ~ ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV52 @ SV64 ) ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV29 @ SV52 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(351,plain,
! [SV53: $i,SV14: $i,SV45: $i] :
( ( ( ~ ( leq @ SV45 @ SV14 ) )
= $true )
| ( ( ~ ( leq @ SV14 @ SV53 ) )
= $true )
| ( ( in_closed @ SV14 @ SV45 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(352,plain,
! [SV69: $i,SV14: $i] :
( ( ! [SY155: $i] :
~ ( in_closed @ SV14 @ SV69 @ SY155 )
| ( leq @ SV69 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(353,plain,
! [SV70: $i,SV14: $i] :
( ( ! [SY156: $i] :
( ~ ( in_closed @ SV14 @ SV70 @ SY156 )
| ( leq @ SV14 @ SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(354,plain,
! [SV65: $i,SV54: $i,SV30: $i,SV15: $i] :
( ( ( ! [SY154: $i] :
( ~ ( in_closed @ SY154 @ SV15 @ SV30 )
| ~ ( in_closed @ SY154 @ SV54 @ SV65 ) ) )
= $true )
| ( ( axis_compatible @ SV15 @ SV30 @ SV54 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(355,plain,
! [SV66: $i,SV55: $i,SV30: $i,SV15: $i] :
( ( ( ~ ( axis_compatible @ SV15 @ SV30 @ SV55 @ SV66 ) )
= $true )
| ( ( ~ ( ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV55 @ SV66 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(356,plain,
! [SV46: $i,SV56: $i,SV16: $i] :
( ( ( ~ ( leq @ SV16 @ SV56 ) )
= $true )
| ( ( ~ ( less @ SV46 @ SV16 ) )
= $true )
| ( ( in_lopen @ SV16 @ SV46 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(357,plain,
! [SV71: $i,SV16: $i] :
( ( ! [SY157: $i] :
( ~ ( in_lopen @ SV16 @ SV71 @ SY157 )
| ( leq @ SV16 @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(358,plain,
! [SV72: $i,SV16: $i] :
( ( ! [SY158: $i] :
~ ( in_lopen @ SV16 @ SV72 @ SY158 )
| ( less @ SV72 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(359,plain,
! [SV57: $i,SV17: $i,SV47: $i] :
( ( ( ~ ( leq @ SV47 @ SV17 ) )
= $true )
| ( ( ~ ( less @ SV17 @ SV57 ) )
= $true )
| ( ( in_ropen @ SV17 @ SV47 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(360,plain,
! [SV73: $i,SV17: $i] :
( ( ! [SY159: $i] :
~ ( in_ropen @ SV17 @ SV73 @ SY159 )
| ( leq @ SV73 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(361,plain,
! [SV74: $i,SV17: $i] :
( ( ! [SY160: $i] :
( ~ ( in_ropen @ SV17 @ SV74 @ SY160 )
| ( less @ SV17 @ SY160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(362,plain,
! [SV58: $i,SV18: $i,SV48: $i] :
( ( ( ~ ( less @ SV48 @ SV18 ) )
= $true )
| ( ( ~ ( less @ SV18 @ SV58 ) )
= $true )
| ( ( in_open @ SV18 @ SV48 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(363,plain,
! [SV75: $i,SV18: $i] :
( ( ! [SY161: $i] :
~ ( in_open @ SV18 @ SV75 @ SY161 )
| ( less @ SV75 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(364,plain,
! [SV76: $i,SV18: $i] :
( ( ! [SY162: $i] :
( ~ ( in_open @ SV18 @ SV76 @ SY162 )
| ( less @ SV18 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(365,plain,
! [SV26: $i,SV10: $i] :
( ( ( SV10 = compatible )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( is_verdict @ SV26 )
= $false )
| ( ( SV26 != compatible )
= $true )
| ( ( ( box_verdict @ SV10 @ SV26 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(366,plain,
! [SV40: $i,SV35: $i] :
( ( ( is_verdict @ SV35 )
= $false )
| ( ( ~ ( is_verdict @ SV40 ) )
= $true )
| ( ( SV35 != conflict )
= $true )
| ( ( ( box_verdict @ SV35 @ SV40 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(367,plain,
! [SV41: $i,SV36: $i] :
( ( ( is_verdict @ SV36 )
= $false )
| ( ( ~ ( is_verdict @ SV41 ) )
= $true )
| ( ( SV41 != conflict )
= $true )
| ( ( ( box_verdict @ SV36 @ SV41 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(368,plain,
! [SV67: $i,SV59: $i] :
( ( ( SV59 != SV67 )
= $true )
| ( ( leq @ SV59 @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(369,plain,
! [SV68: $i,SV60: $i] :
( ( ( ~ ( less @ SV60 @ SV68 ) )
= $true )
| ( ( leq @ SV60 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(370,plain,
! [SV43: $i,SV38: $i] :
( ( ( ~ ( is_verdict @ SV38 )
| ~ ( is_verdict @ SV43 ) )
= $true )
| ( ( SV38 != unknown )
= $true )
| ( ( SV38 = conflict )
= $true )
| ( ( SV43 = conflict )
= $true )
| ( ( ( box_verdict @ SV38 @ SV43 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(371,plain,
! [SV44: $i,SV39: $i] :
( ( ( ~ ( is_verdict @ SV39 )
| ~ ( is_verdict @ SV44 ) )
= $true )
| ( ( SV44 != unknown )
= $true )
| ( ( SV39 = conflict )
= $true )
| ( ( SV44 = conflict )
= $true )
| ( ( ( box_verdict @ SV39 @ SV44 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(372,plain,
! [SV12: $i,SV28: $i,SV49: $i,SV61: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV12 @ SV28 )
| ~ ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV49 @ SV61 ) )
= $false )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(373,plain,
! [SV62: $i,SV50: $i,SV28: $i,SV12: $i] :
( ( ( axis_subsumes @ SV12 @ SV28 @ SV50 @ SV62 )
= $false )
| ( ( ! [SY152: $i] :
( ~ ( in_closed @ SY152 @ SV12 @ SV28 )
| ( in_closed @ SY152 @ SV50 @ SV62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(374,plain,
! [SV63: $i,SV51: $i,SV29: $i,SV13: $i] :
( ( ( axis_conflict @ SV13 @ SV29 @ SV51 @ SV63 )
= $false )
| ( ( ! [SY153: $i] :
( ~ ( in_closed @ SY153 @ SV13 @ SV29 )
| ~ ( in_closed @ SY153 @ SV51 @ SV63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(375,plain,
! [SV13: $i,SV29: $i,SV52: $i,SV64: $i] :
( ( ( ~ ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV13 @ SV29 )
| ~ ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV52 @ SV64 ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV29 @ SV52 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(376,plain,
! [SV53: $i,SV14: $i,SV45: $i] :
( ( ( leq @ SV45 @ SV14 )
= $false )
| ( ( ~ ( leq @ SV14 @ SV53 ) )
= $true )
| ( ( in_closed @ SV14 @ SV45 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(377,plain,
! [SV69: $i,SV14: $i] :
( ( ( ! [SY155: $i] :
~ ( in_closed @ SV14 @ SV69 @ SY155 ) )
= $true )
| ( ( leq @ SV69 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(378,plain,
! [SV77: $i,SV70: $i,SV14: $i] :
( ( ~ ( in_closed @ SV14 @ SV70 @ SV77 )
| ( leq @ SV14 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(379,plain,
! [SV65: $i,SV54: $i,SV30: $i,SV15: $i,SV78: $i] :
( ( ( ~ ( in_closed @ SV78 @ SV15 @ SV30 )
| ~ ( in_closed @ SV78 @ SV54 @ SV65 ) )
= $true )
| ( ( axis_compatible @ SV15 @ SV30 @ SV54 @ SV65 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(380,plain,
! [SV66: $i,SV55: $i,SV30: $i,SV15: $i] :
( ( ( axis_compatible @ SV15 @ SV30 @ SV55 @ SV66 )
= $false )
| ( ( ~ ( ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV55 @ SV66 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(381,plain,
! [SV46: $i,SV56: $i,SV16: $i] :
( ( ( leq @ SV16 @ SV56 )
= $false )
| ( ( ~ ( less @ SV46 @ SV16 ) )
= $true )
| ( ( in_lopen @ SV16 @ SV46 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(382,plain,
! [SV79: $i,SV71: $i,SV16: $i] :
( ( ~ ( in_lopen @ SV16 @ SV71 @ SV79 )
| ( leq @ SV16 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(383,plain,
! [SV72: $i,SV16: $i] :
( ( ( ! [SY158: $i] :
~ ( in_lopen @ SV16 @ SV72 @ SY158 ) )
= $true )
| ( ( less @ SV72 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(384,plain,
! [SV57: $i,SV17: $i,SV47: $i] :
( ( ( leq @ SV47 @ SV17 )
= $false )
| ( ( ~ ( less @ SV17 @ SV57 ) )
= $true )
| ( ( in_ropen @ SV17 @ SV47 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(385,plain,
! [SV73: $i,SV17: $i] :
( ( ( ! [SY159: $i] :
~ ( in_ropen @ SV17 @ SV73 @ SY159 ) )
= $true )
| ( ( leq @ SV73 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(386,plain,
! [SV80: $i,SV74: $i,SV17: $i] :
( ( ~ ( in_ropen @ SV17 @ SV74 @ SV80 )
| ( less @ SV17 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(387,plain,
! [SV58: $i,SV18: $i,SV48: $i] :
( ( ( less @ SV48 @ SV18 )
= $false )
| ( ( ~ ( less @ SV18 @ SV58 ) )
= $true )
| ( ( in_open @ SV18 @ SV48 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(388,plain,
! [SV75: $i,SV18: $i] :
( ( ( ! [SY161: $i] :
~ ( in_open @ SV18 @ SV75 @ SY161 ) )
= $true )
| ( ( less @ SV75 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(389,plain,
! [SV81: $i,SV76: $i,SV18: $i] :
( ( ~ ( in_open @ SV18 @ SV76 @ SV81 )
| ( less @ SV18 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(390,plain,
! [SV10: $i,SV26: $i] :
( ( ( SV26 = compatible )
= $false )
| ( ( is_verdict @ SV26 )
= $false )
| ( ( is_verdict @ SV10 )
= $false )
| ( ( SV10 = compatible )
= $false )
| ( ( ( box_verdict @ SV10 @ SV26 )
= compatible )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(391,plain,
! [SV35: $i,SV40: $i] :
( ( ( is_verdict @ SV40 )
= $false )
| ( ( is_verdict @ SV35 )
= $false )
| ( ( SV35 != conflict )
= $true )
| ( ( ( box_verdict @ SV35 @ SV40 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(392,plain,
! [SV36: $i,SV41: $i] :
( ( ( is_verdict @ SV41 )
= $false )
| ( ( is_verdict @ SV36 )
= $false )
| ( ( SV41 != conflict )
= $true )
| ( ( ( box_verdict @ SV36 @ SV41 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(393,plain,
! [SV67: $i,SV59: $i] :
( ( ( SV59 = SV67 )
= $false )
| ( ( leq @ SV59 @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(394,plain,
! [SV68: $i,SV60: $i] :
( ( ( less @ SV60 @ SV68 )
= $false )
| ( ( leq @ SV60 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(395,plain,
! [SV43: $i,SV38: $i] :
( ( ( ~ ( is_verdict @ SV38 ) )
= $true )
| ( ( ~ ( is_verdict @ SV43 ) )
= $true )
| ( ( SV38 != unknown )
= $true )
| ( ( SV38 = conflict )
= $true )
| ( ( SV43 = conflict )
= $true )
| ( ( ( box_verdict @ SV38 @ SV43 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(396,plain,
! [SV44: $i,SV39: $i] :
( ( ( ~ ( is_verdict @ SV39 ) )
= $true )
| ( ( ~ ( is_verdict @ SV44 ) )
= $true )
| ( ( SV44 != unknown )
= $true )
| ( ( SV39 = conflict )
= $true )
| ( ( SV44 = conflict )
= $true )
| ( ( ( box_verdict @ SV39 @ SV44 )
= unknown )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(397,plain,
! [SV12: $i,SV28: $i,SV49: $i,SV61: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV12 @ SV28 ) )
= $false )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SV61 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(398,plain,
! [SV12: $i,SV28: $i,SV49: $i,SV61: $i] :
( ( ( ~ ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV49 @ SV61 ) )
= $false )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SV61 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(399,plain,
! [SV62: $i,SV50: $i,SV28: $i,SV12: $i,SV82: $i] :
( ( ( ~ ( in_closed @ SV82 @ SV12 @ SV28 )
| ( in_closed @ SV82 @ SV50 @ SV62 ) )
= $true )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV50 @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(400,plain,
! [SV63: $i,SV51: $i,SV29: $i,SV13: $i,SV83: $i] :
( ( ( ~ ( in_closed @ SV83 @ SV13 @ SV29 )
| ~ ( in_closed @ SV83 @ SV51 @ SV63 ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV29 @ SV51 @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(401,plain,
! [SV13: $i,SV29: $i,SV52: $i,SV64: $i] :
( ( ( ~ ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV13 @ SV29 ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV29 @ SV52 @ SV64 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(402,plain,
! [SV13: $i,SV29: $i,SV52: $i,SV64: $i] :
( ( ( ~ ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV52 @ SV64 ) )
= $false )
| ( ( axis_conflict @ SV13 @ SV29 @ SV52 @ SV64 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(403,plain,
! [SV45: $i,SV53: $i,SV14: $i] :
( ( ( leq @ SV14 @ SV53 )
= $false )
| ( ( leq @ SV45 @ SV14 )
= $false )
| ( ( in_closed @ SV14 @ SV45 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(404,plain,
! [SV84: $i,SV69: $i,SV14: $i] :
( ( ( ~ ( in_closed @ SV14 @ SV69 @ SV84 ) )
= $true )
| ( ( leq @ SV69 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(405,plain,
! [SV77: $i,SV70: $i,SV14: $i] :
( ( ( ~ ( in_closed @ SV14 @ SV70 @ SV77 ) )
= $true )
| ( ( leq @ SV14 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(406,plain,
! [SV65: $i,SV54: $i,SV30: $i,SV15: $i,SV78: $i] :
( ( ( ~ ( in_closed @ SV78 @ SV15 @ SV30 ) )
= $true )
| ( ( ~ ( in_closed @ SV78 @ SV54 @ SV65 ) )
= $true )
| ( ( axis_compatible @ SV15 @ SV30 @ SV54 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(407,plain,
! [SV15: $i,SV30: $i,SV55: $i,SV66: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV15 @ SV30 )
| ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV55 @ SV66 ) )
= $false )
| ( ( axis_compatible @ SV15 @ SV30 @ SV55 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(408,plain,
! [SV56: $i,SV16: $i,SV46: $i] :
( ( ( less @ SV46 @ SV16 )
= $false )
| ( ( leq @ SV16 @ SV56 )
= $false )
| ( ( in_lopen @ SV16 @ SV46 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(409,plain,
! [SV79: $i,SV71: $i,SV16: $i] :
( ( ( ~ ( in_lopen @ SV16 @ SV71 @ SV79 ) )
= $true )
| ( ( leq @ SV16 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(410,plain,
! [SV85: $i,SV72: $i,SV16: $i] :
( ( ( ~ ( in_lopen @ SV16 @ SV72 @ SV85 ) )
= $true )
| ( ( less @ SV72 @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(411,plain,
! [SV47: $i,SV57: $i,SV17: $i] :
( ( ( less @ SV17 @ SV57 )
= $false )
| ( ( leq @ SV47 @ SV17 )
= $false )
| ( ( in_ropen @ SV17 @ SV47 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(412,plain,
! [SV86: $i,SV73: $i,SV17: $i] :
( ( ( ~ ( in_ropen @ SV17 @ SV73 @ SV86 ) )
= $true )
| ( ( leq @ SV73 @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(413,plain,
! [SV80: $i,SV74: $i,SV17: $i] :
( ( ( ~ ( in_ropen @ SV17 @ SV74 @ SV80 ) )
= $true )
| ( ( less @ SV17 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(414,plain,
! [SV48: $i,SV58: $i,SV18: $i] :
( ( ( less @ SV18 @ SV58 )
= $false )
| ( ( less @ SV48 @ SV18 )
= $false )
| ( ( in_open @ SV18 @ SV48 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(415,plain,
! [SV87: $i,SV75: $i,SV18: $i] :
( ( ( ~ ( in_open @ SV18 @ SV75 @ SV87 ) )
= $true )
| ( ( less @ SV75 @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(416,plain,
! [SV81: $i,SV76: $i,SV18: $i] :
( ( ( ~ ( in_open @ SV18 @ SV76 @ SV81 ) )
= $true )
| ( ( less @ SV18 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(417,plain,
! [SV40: $i,SV35: $i] :
( ( ( SV35 = conflict )
= $false )
| ( ( is_verdict @ SV35 )
= $false )
| ( ( is_verdict @ SV40 )
= $false )
| ( ( ( box_verdict @ SV35 @ SV40 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(418,plain,
! [SV36: $i,SV41: $i] :
( ( ( SV41 = conflict )
= $false )
| ( ( is_verdict @ SV36 )
= $false )
| ( ( is_verdict @ SV41 )
= $false )
| ( ( ( box_verdict @ SV36 @ SV41 )
= conflict )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(419,plain,
! [SV43: $i,SV38: $i] :
( ( ( is_verdict @ SV38 )
= $false )
| ( ( ~ ( is_verdict @ SV43 ) )
= $true )
| ( ( SV38 != unknown )
= $true )
| ( ( SV38 = conflict )
= $true )
| ( ( SV43 = conflict )
= $true )
| ( ( ( box_verdict @ SV38 @ SV43 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(420,plain,
! [SV44: $i,SV39: $i] :
( ( ( is_verdict @ SV39 )
= $false )
| ( ( ~ ( is_verdict @ SV44 ) )
= $true )
| ( ( SV44 != unknown )
= $true )
| ( ( SV39 = conflict )
= $true )
| ( ( SV44 = conflict )
= $true )
| ( ( ( box_verdict @ SV39 @ SV44 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(421,plain,
! [SV12: $i,SV28: $i,SV49: $i,SV61: $i] :
( ( ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV12 @ SV28 )
= $true )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(422,plain,
! [SV12: $i,SV28: $i,SV49: $i,SV61: $i] :
( ( ( ~ ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV49 @ SV61 ) )
= $true )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(423,plain,
! [SV62: $i,SV50: $i,SV28: $i,SV12: $i,SV82: $i] :
( ( ( ~ ( in_closed @ SV82 @ SV12 @ SV28 ) )
= $true )
| ( ( in_closed @ SV82 @ SV50 @ SV62 )
= $true )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV50 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(424,plain,
! [SV63: $i,SV51: $i,SV29: $i,SV13: $i,SV83: $i] :
( ( ( ~ ( in_closed @ SV83 @ SV13 @ SV29 ) )
= $true )
| ( ( ~ ( in_closed @ SV83 @ SV51 @ SV63 ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV29 @ SV51 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(425,plain,
! [SV13: $i,SV29: $i,SV52: $i,SV64: $i] :
( ( ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV13 @ SV29 )
= $true )
| ( ( axis_conflict @ SV13 @ SV29 @ SV52 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(426,plain,
! [SV13: $i,SV29: $i,SV52: $i,SV64: $i] :
( ( ( in_closed @ ( sK4_X @ SV64 @ SV52 @ SV29 @ SV13 ) @ SV52 @ SV64 )
= $true )
| ( ( axis_conflict @ SV13 @ SV29 @ SV52 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(427,plain,
! [SV84: $i,SV69: $i,SV14: $i] :
( ( ( in_closed @ SV14 @ SV69 @ SV84 )
= $false )
| ( ( leq @ SV69 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(428,plain,
! [SV77: $i,SV70: $i,SV14: $i] :
( ( ( in_closed @ SV14 @ SV70 @ SV77 )
= $false )
| ( ( leq @ SV14 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(429,plain,
! [SV65: $i,SV54: $i,SV30: $i,SV15: $i,SV78: $i] :
( ( ( in_closed @ SV78 @ SV15 @ SV30 )
= $false )
| ( ( ~ ( in_closed @ SV78 @ SV54 @ SV65 ) )
= $true )
| ( ( axis_compatible @ SV15 @ SV30 @ SV54 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(430,plain,
! [SV15: $i,SV30: $i,SV55: $i,SV66: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV15 @ SV30 ) )
= $false )
| ( ( axis_compatible @ SV15 @ SV30 @ SV55 @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(431,plain,
! [SV15: $i,SV30: $i,SV55: $i,SV66: $i] :
( ( ( ~ ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV55 @ SV66 ) )
= $false )
| ( ( axis_compatible @ SV15 @ SV30 @ SV55 @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(432,plain,
! [SV79: $i,SV71: $i,SV16: $i] :
( ( ( in_lopen @ SV16 @ SV71 @ SV79 )
= $false )
| ( ( leq @ SV16 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(433,plain,
! [SV85: $i,SV72: $i,SV16: $i] :
( ( ( in_lopen @ SV16 @ SV72 @ SV85 )
= $false )
| ( ( less @ SV72 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(434,plain,
! [SV86: $i,SV73: $i,SV17: $i] :
( ( ( in_ropen @ SV17 @ SV73 @ SV86 )
= $false )
| ( ( leq @ SV73 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(435,plain,
! [SV80: $i,SV74: $i,SV17: $i] :
( ( ( in_ropen @ SV17 @ SV74 @ SV80 )
= $false )
| ( ( less @ SV17 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(436,plain,
! [SV87: $i,SV75: $i,SV18: $i] :
( ( ( in_open @ SV18 @ SV75 @ SV87 )
= $false )
| ( ( less @ SV75 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(437,plain,
! [SV81: $i,SV76: $i,SV18: $i] :
( ( ( in_open @ SV18 @ SV76 @ SV81 )
= $false )
| ( ( less @ SV18 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(438,plain,
! [SV38: $i,SV43: $i] :
( ( ( is_verdict @ SV43 )
= $false )
| ( ( is_verdict @ SV38 )
= $false )
| ( ( SV38 != unknown )
= $true )
| ( ( SV38 = conflict )
= $true )
| ( ( SV43 = conflict )
= $true )
| ( ( ( box_verdict @ SV38 @ SV43 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(439,plain,
! [SV39: $i,SV44: $i] :
( ( ( is_verdict @ SV44 )
= $false )
| ( ( is_verdict @ SV39 )
= $false )
| ( ( SV44 != unknown )
= $true )
| ( ( SV39 = conflict )
= $true )
| ( ( SV44 = conflict )
= $true )
| ( ( ( box_verdict @ SV39 @ SV44 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(440,plain,
! [SV12: $i,SV28: $i,SV49: $i,SV61: $i] :
( ( ( in_closed @ ( sK2_X @ SV61 @ SV49 @ SV28 @ SV12 ) @ SV49 @ SV61 )
= $false )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV49 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(441,plain,
! [SV62: $i,SV50: $i,SV28: $i,SV12: $i,SV82: $i] :
( ( ( in_closed @ SV82 @ SV12 @ SV28 )
= $false )
| ( ( in_closed @ SV82 @ SV50 @ SV62 )
= $true )
| ( ( axis_subsumes @ SV12 @ SV28 @ SV50 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(442,plain,
! [SV63: $i,SV51: $i,SV29: $i,SV13: $i,SV83: $i] :
( ( ( in_closed @ SV83 @ SV13 @ SV29 )
= $false )
| ( ( ~ ( in_closed @ SV83 @ SV51 @ SV63 ) )
= $true )
| ( ( axis_conflict @ SV13 @ SV29 @ SV51 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(443,plain,
! [SV30: $i,SV15: $i,SV65: $i,SV54: $i,SV78: $i] :
( ( ( in_closed @ SV78 @ SV54 @ SV65 )
= $false )
| ( ( in_closed @ SV78 @ SV15 @ SV30 )
= $false )
| ( ( axis_compatible @ SV15 @ SV30 @ SV54 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(444,plain,
! [SV15: $i,SV30: $i,SV55: $i,SV66: $i] :
( ( ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV15 @ SV30 )
= $true )
| ( ( axis_compatible @ SV15 @ SV30 @ SV55 @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(445,plain,
! [SV15: $i,SV30: $i,SV55: $i,SV66: $i] :
( ( ( in_closed @ ( sK3_X @ SV66 @ SV55 @ SV30 @ SV15 ) @ SV55 @ SV66 )
= $true )
| ( ( axis_compatible @ SV15 @ SV30 @ SV55 @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(446,plain,
! [SV43: $i,SV38: $i] :
( ( ( SV38 = unknown )
= $false )
| ( ( is_verdict @ SV38 )
= $false )
| ( ( is_verdict @ SV43 )
= $false )
| ( ( SV38 = conflict )
= $true )
| ( ( SV43 = conflict )
= $true )
| ( ( ( box_verdict @ SV38 @ SV43 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(447,plain,
! [SV39: $i,SV44: $i] :
( ( ( SV44 = unknown )
= $false )
| ( ( is_verdict @ SV39 )
= $false )
| ( ( is_verdict @ SV44 )
= $false )
| ( ( SV39 = conflict )
= $true )
| ( ( SV44 = conflict )
= $true )
| ( ( ( box_verdict @ SV39 @ SV44 )
= unknown )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(448,plain,
! [SV29: $i,SV13: $i,SV63: $i,SV51: $i,SV83: $i] :
( ( ( in_closed @ SV83 @ SV51 @ SV63 )
= $false )
| ( ( in_closed @ SV83 @ SV13 @ SV29 )
= $false )
| ( ( axis_conflict @ SV13 @ SV29 @ SV51 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(449,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[108,448,447,446,445,444,443,441,440,437,436,435,434,433,432,428,427,426,425,421,418,417,414,411,408,403,394,393,390,342,339,310,309,308,307,276,251,219,217,202,201,161,149,145,144,143,121,120,119,110,109]) ).
thf(450,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT075+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 12:44:01 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.41
% 0.54/0.41 No.of.Axioms: 31
% 0.54/0.41
% 0.54/0.41 Length.of.Defs: 0
% 0.54/0.41
% 0.54/0.41 Contains.Choice.Funs: false
% 0.54/0.41 .................
% 0.54/0.41
% 0.54/0.41 ********************************
% 0.54/0.41 * All subproblems solved! *
% 0.54/0.41 ********************************
% 0.54/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:31,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:449,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.54/0.41
% 0.54/0.41 %**** Beginning of derivation protocol ****
% 0.54/0.41 % SZS output start CNFRefutation
% See solution above
% 0.54/0.41
% 0.54/0.41 %**** End of derivation protocol ****
% 0.54/0.41 %**** no. of clauses in derivation: 450 ****
% 0.54/0.41 %**** clause counter: 449 ****
% 0.54/0.41
% 0.54/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:31,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:449,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------