%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 10:18:04 AM UTC 2026
% Result : Theorem 3.18s 0.73s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 229 ( 120 unt; 0 typ; 0 def)
% Number of atoms : 1438 ( 390 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 3798 ( 606 ~; 415 |; 27 &;2699 @)
% ( 18 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 7 con; 0-4 aty)
% Number of variables : 674 ( 0 ^; 668 !; 6 ?; 674 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_at,type,
at: $i > $i > $i ).
thf(tp_at_the_same_time,type,
at_the_same_time: $i > $i > $i ).
thf(tp_between_c,type,
between_c: $i > $i > $i > $i > $o ).
thf(tp_between_o,type,
between_o: $i > $i > $i > $i > $o ).
thf(tp_closed,type,
closed: $i > $o ).
thf(tp_connect,type,
connect: $i > $i > $i > $o ).
thf(tp_end_point,type,
end_point: $i > $i > $o ).
thf(tp_finish_point,type,
finish_point: $i > $i > $o ).
thf(tp_incident_c,type,
incident_c: $i > $i > $o ).
thf(tp_incident_o,type,
incident_o: $i > $i > $o ).
thf(tp_inner_point,type,
inner_point: $i > $i > $o ).
thf(tp_meet,type,
meet: $i > $i > $i > $o ).
thf(tp_once,type,
once: $i > $o ).
thf(tp_open,type,
open: $i > $o ).
thf(tp_ordered_by,type,
ordered_by: $i > $i > $i > $o ).
thf(tp_part_of,type,
part_of: $i > $i > $o ).
thf(tp_sK1_P,type,
sK1_P: $i ).
thf(tp_sK2_SY40,type,
sK2_SY40: $i ).
thf(tp_sK3_SY44,type,
sK3_SY44: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SY72,type,
sK5_SY72: $i ).
thf(tp_sK6_SY61,type,
sK6_SY61: $i > $i ).
thf(tp_sK7_SY77,type,
sK7_SY77: $i > $i > $i ).
thf(tp_sK8_SY91,type,
sK8_SY91: $i > $i > $i ).
thf(tp_sK9_SY90,type,
sK9_SY90: $i > $i > $i ).
thf(tp_start_point,type,
start_point: $i > $i > $o ).
thf(tp_sum,type,
sum: $i > $i > $i ).
thf(tp_trajectory_of,type,
trajectory_of: $i > $i ).
thf(tp_underlying_curve,type,
underlying_curve: $i > $i ).
thf(1,axiom,
! [A: $i] :
( ( once @ A )
=> ! [X: $i] :
? [P: $i] : ( once @ ( at_the_same_time @ A @ ( at @ X @ P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',localization) ).
thf(2,axiom,
! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
( ( ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
& ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) )
=> ~ ( ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
& ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homogeneous_behaviour) ).
thf(3,axiom,
! [X: $i] :
? [O: $i] :
( ( trajectory_of @ X )
= O ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trajectories_are_oriented_curves) ).
thf(4,axiom,
! [X: $i,P: $i] :
( ( once @ ( at @ X @ P ) )
<=> ( incident_o @ P @ ( trajectory_of @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',at_on_trajectory) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( once @ ( at_the_same_time @ A @ B ) )
=> ( ( once @ A )
& ( once @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction_at_the_same_time) ).
thf(6,axiom,
! [A: $i] :
( ( once @ A )
=> ( once @ ( at_the_same_time @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_at_the_same_time) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
<=> ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assciativity_of_at_the_same_time) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( once @ ( at_the_same_time @ A @ B ) )
<=> ( once @ ( at_the_same_time @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_at_the_same_time) ).
thf(9,axiom,
! [X: $i,Y: $i,P: $i] :
( ( connect @ X @ Y @ P )
<=> ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn) ).
thf(11,axiom,
! [O1: $i,O2: $i] :
( ! [P: $i,Q: $i] :
( ( ordered_by @ O1 @ P @ Q )
<=> ( ordered_by @ O2 @ P @ Q ) )
=> ( O1 = O2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o6) ).
thf(16,axiom,
! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ( ( incident_o @ P @ O )
& ( incident_o @ Q @ O ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o1) ).
thf(19,axiom,
! [O: $i,P: $i,Q: $i,R: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ( ( ( ordered_by @ O @ P @ Q )
& ( ordered_by @ O @ Q @ R ) )
| ( ( ordered_by @ O @ R @ Q )
& ( ordered_by @ O @ Q @ P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn) ).
thf(37,conjecture,
! [P: $i,X: $i,Y: $i] :
( ( connect @ X @ Y @ P )
=> ! [Q1: $i,Q2: $i] :
( ( ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P )
& ( ordered_by @ ( trajectory_of @ X ) @ P @ Q1 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14) ).
thf(38,negated_conjecture,
( ( ! [P: $i,X: $i,Y: $i] :
( ( connect @ X @ Y @ P )
=> ! [Q1: $i,Q2: $i] :
( ( ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P )
& ( ordered_by @ ( trajectory_of @ X ) @ P @ Q1 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[37]) ).
thf(39,plain,
( ( ! [P: $i,X: $i,Y: $i] :
( ( connect @ X @ Y @ P )
=> ! [Q1: $i,Q2: $i] :
( ( ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P )
& ( ordered_by @ ( trajectory_of @ X ) @ P @ Q1 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[38]) ).
thf(40,plain,
( ( ! [A: $i] :
( ( once @ A )
=> ! [X: $i] :
? [P: $i] : ( once @ ( at_the_same_time @ A @ ( at @ X @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(41,plain,
( ( ! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
( ( ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
& ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) )
=> ~ ( ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
& ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(42,plain,
( ( ! [X: $i] :
? [O: $i] :
( ( trajectory_of @ X )
= O ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(43,plain,
( ( ! [X: $i,P: $i] :
( ( once @ ( at @ X @ P ) )
<=> ( incident_o @ P @ ( trajectory_of @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ( once @ ( at_the_same_time @ A @ B ) )
=> ( ( once @ A )
& ( once @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(45,plain,
( ( ! [A: $i] :
( ( once @ A )
=> ( once @ ( at_the_same_time @ A @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(46,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
<=> ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ( once @ ( at_the_same_time @ A @ B ) )
<=> ( once @ ( at_the_same_time @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i,P: $i] :
( ( connect @ X @ Y @ P )
<=> ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(49,plain,
( ( ! [O1: $i,O2: $i] :
( ! [P: $i,Q: $i] :
( ( ordered_by @ O1 @ P @ Q )
<=> ( ordered_by @ O2 @ P @ Q ) )
=> ( O1 = O2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(50,plain,
( ( ! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ( ( incident_o @ P @ O )
& ( incident_o @ Q @ O ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(51,plain,
( ( ! [O: $i,P: $i,Q: $i,R: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ( ( ( ordered_by @ O @ P @ Q )
& ( ordered_by @ O @ Q @ R ) )
| ( ( ordered_by @ O @ R @ Q )
& ( ordered_by @ O @ Q @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(52,plain,
( ( ! [SY40: $i,SY41: $i] :
( ( connect @ SY40 @ SY41 @ sK1_P )
=> ! [SY42: $i,SY43: $i] :
( ( ( ordered_by @ ( trajectory_of @ SY41 ) @ SY43 @ sK1_P )
& ( ordered_by @ ( trajectory_of @ SY40 ) @ sK1_P @ SY42 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ SY40 @ SY42 ) @ ( at @ SY41 @ SY43 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(53,plain,
( ( ! [SY44: $i] :
( ( connect @ sK2_SY40 @ SY44 @ sK1_P )
=> ! [SY45: $i,SY46: $i] :
( ( ( ordered_by @ ( trajectory_of @ SY44 ) @ SY46 @ sK1_P )
& ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ SY45 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ SY45 ) @ ( at @ SY44 @ SY46 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(54,plain,
( ( ( connect @ sK2_SY40 @ sK3_SY44 @ sK1_P )
=> ! [SY47: $i,SY48: $i] :
( ( ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ SY48 @ sK1_P )
& ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ SY47 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ SY47 ) @ ( at @ sK3_SY44 @ SY48 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(55,plain,
( ( connect @ sK2_SY40 @ sK3_SY44 @ sK1_P )
= $true ),
inference(standard_cnf,[status(thm)],[54]) ).
thf(56,plain,
( ( ! [SY47: $i,SY48: $i] :
( ( ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ SY48 @ sK1_P )
& ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ SY47 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ SY47 ) @ ( at @ sK3_SY44 @ SY48 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[54]) ).
thf(57,plain,
( ( ~ ! [SY47: $i,SY48: $i] :
( ( ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ SY48 @ sK1_P )
& ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ SY47 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ SY47 ) @ ( at @ sK3_SY44 @ SY48 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[56]) ).
thf(58,plain,
( ( ! [O: $i,P: $i,Q: $i,R: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ( ( ( ordered_by @ O @ P @ Q )
& ( ordered_by @ O @ Q @ R ) )
| ( ( ordered_by @ O @ R @ Q )
& ( ordered_by @ O @ Q @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(59,plain,
( ( ! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ( ( incident_o @ P @ O )
& ( incident_o @ Q @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(60,plain,
( ( ! [O1: $i,O2: $i] :
( ! [P: $i,Q: $i] :
( ( ordered_by @ O1 @ P @ Q )
<=> ( ordered_by @ O2 @ P @ Q ) )
=> ( O1 = O2 ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i,P: $i] :
( ( connect @ X @ Y @ P )
<=> ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
( ( once @ ( at_the_same_time @ A @ B ) )
<=> ( once @ ( at_the_same_time @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(63,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
<=> ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(64,plain,
( ( ! [A: $i] :
( ( once @ A )
=> ( once @ ( at_the_same_time @ A @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( once @ ( at_the_same_time @ A @ B ) )
=> ( ( once @ A )
& ( once @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(66,plain,
( ( ! [X: $i,P: $i] :
( ( once @ ( at @ X @ P ) )
<=> ( incident_o @ P @ ( trajectory_of @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(67,plain,
( ( ! [X: $i] :
? [O: $i] :
( ( trajectory_of @ X )
= O ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(68,plain,
( ( ! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
( ( ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
& ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) )
=> ~ ( ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
& ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(69,plain,
( ( ! [A: $i] :
( ( once @ A )
=> ! [X: $i] :
? [P: $i] : ( once @ ( at_the_same_time @ A @ ( at @ X @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(70,plain,
( ( connect @ sK2_SY40 @ sK3_SY44 @ sK1_P )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(71,plain,
( ( ~ ! [SY47: $i,SY48: $i] :
( ( ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ SY48 @ sK1_P )
& ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ SY47 ) )
=> ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ SY47 ) @ ( at @ sK3_SY44 @ SY48 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(72,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( once @ ( at @ SX0 @ SX1 ) )
| ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) )
| ~ ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
| ( once @ ( at @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(73,plain,
( ( ! [SX0: $i] :
( ~ ( once @ SX0 )
| ( once @ ( at_the_same_time @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
| ~ ( ~ ( once @ SX0 )
| ~ ( once @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(75,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ SX1 @ sK1_P )
| ~ ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ SX0 ) )
| ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ SX0 ) @ ( at @ sK3_SY44 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX3 ) )
| ~ ( ~ ( ordered_by @ SX0 @ SX3 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX1 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX3 ) )
| ~ ( ~ ( ordered_by @ SX0 @ SX3 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX1 ) ) )
| ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( connect @ SX0 @ SX1 @ SX2 )
| ( once @ ( at_the_same_time @ ( at @ SX0 @ SX2 ) @ ( at @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SX0 @ SX2 ) @ ( at @ SX1 @ SX2 ) ) )
| ( connect @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(78,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( incident_o @ SX1 @ SX0 )
| ~ ( incident_o @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(79,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( ordered_by @ SX0 @ SX2 @ SX3 )
| ( ordered_by @ SX1 @ SX2 @ SX3 ) )
| ~ ( ~ ( ordered_by @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX2 @ SX3 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(80,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ( trajectory_of @ SX0 )
!= SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SX0 @ SX1 ) @ SX2 ) )
| ( once @ ( at_the_same_time @ SX0 @ ( at_the_same_time @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SX0 @ ( at_the_same_time @ SX1 @ SX2 ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ SX0 @ SX1 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(82,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SX4 @ SX0 ) @ ( at @ SX5 @ SX1 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SX4 @ SX2 ) @ ( at @ SX5 @ SX3 ) ) ) )
| ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SX4 ) @ SX0 @ SX2 )
| ~ ( ordered_by @ ( trajectory_of @ SX5 ) @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(83,plain,
( ( ! [SX0: $i] :
( ~ ( once @ SX0 )
| ! [SX1: $i] :
~ ! [SX2: $i] :
~ ( once @ ( at_the_same_time @ SX0 @ ( at @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(84,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
| ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
| ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(85,plain,
! [SV1: $i] :
( ( ! [SY49: $i] :
~ ( ~ ( ~ ( once @ ( at @ SV1 @ SY49 ) )
| ( incident_o @ SY49 @ ( trajectory_of @ SV1 ) ) )
| ~ ( ~ ( incident_o @ SY49 @ ( trajectory_of @ SV1 ) )
| ( once @ ( at @ SV1 @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV2: $i] :
( ( ~ ( once @ SV2 )
| ( once @ ( at_the_same_time @ SV2 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV3: $i] :
( ( ! [SY50: $i] :
( ~ ( once @ ( at_the_same_time @ SV3 @ SY50 ) )
| ~ ( ~ ( once @ SV3 )
| ~ ( once @ SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(88,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ SX1 @ sK1_P )
| ~ ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ SX0 ) )
| ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ SX0 ) @ ( at @ sK3_SY44 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(89,plain,
! [SV4: $i] :
( ( ! [SY51: $i,SY52: $i,SY53: $i] :
~ ( ~ ( ~ ( between_o @ SV4 @ SY51 @ SY52 @ SY53 )
| ~ ( ~ ( ordered_by @ SV4 @ SY51 @ SY52 )
| ~ ( ordered_by @ SV4 @ SY52 @ SY53 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SY53 @ SY52 )
| ~ ( ordered_by @ SV4 @ SY52 @ SY51 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV4 @ SY51 @ SY52 )
| ~ ( ordered_by @ SV4 @ SY52 @ SY53 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SY53 @ SY52 )
| ~ ( ordered_by @ SV4 @ SY52 @ SY51 ) ) )
| ( between_o @ SV4 @ SY51 @ SY52 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(90,plain,
! [SV5: $i] :
( ( ! [SY54: $i,SY55: $i] :
~ ( ~ ( ~ ( connect @ SV5 @ SY54 @ SY55 )
| ( once @ ( at_the_same_time @ ( at @ SV5 @ SY55 ) @ ( at @ SY54 @ SY55 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV5 @ SY55 ) @ ( at @ SY54 @ SY55 ) ) )
| ( connect @ SV5 @ SY54 @ SY55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV6: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ( ordered_by @ SV6 @ SY56 @ SY57 )
| ~ ( ~ ( incident_o @ SY56 @ SV6 )
| ~ ( incident_o @ SY57 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(92,plain,
! [SV7: $i] :
( ( ! [SY58: $i] :
( ~ ! [SY59: $i,SY60: $i] :
~ ( ~ ( ~ ( ordered_by @ SV7 @ SY59 @ SY60 )
| ( ordered_by @ SY58 @ SY59 @ SY60 ) )
| ~ ( ~ ( ordered_by @ SY58 @ SY59 @ SY60 )
| ( ordered_by @ SV7 @ SY59 @ SY60 ) ) )
| ( SV7 = SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(93,plain,
! [SV8: $i] :
( ( ~ ! [SY61: $i] :
( ( trajectory_of @ SV8 )
!= SY61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(94,plain,
! [SV9: $i] :
( ( ! [SY62: $i,SY63: $i] :
~ ( ~ ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SY62 ) @ SY63 ) )
| ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SY62 @ SY63 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SY62 @ SY63 ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SY62 ) @ SY63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(95,plain,
! [SV10: $i] :
( ( ! [SY64: $i,SY65: $i,SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SY67 @ SV10 ) @ ( at @ SY68 @ SY64 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SY67 @ SY65 ) @ ( at @ SY68 @ SY66 ) ) ) )
| ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SY67 ) @ SV10 @ SY65 )
| ~ ( ordered_by @ ( trajectory_of @ SY68 ) @ SY66 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV11: $i] :
( ( ~ ( once @ SV11 )
| ! [SY69: $i] :
~ ! [SY70: $i] :
~ ( once @ ( at_the_same_time @ SV11 @ ( at @ SY69 @ SY70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(97,plain,
! [SV12: $i] :
( ( ! [SY71: $i] :
~ ( ~ ( ~ ( once @ ( at_the_same_time @ SV12 @ SY71 ) )
| ( once @ ( at_the_same_time @ SY71 @ SV12 ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SY71 @ SV12 ) )
| ( once @ ( at_the_same_time @ SV12 @ SY71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(98,plain,
! [SV13: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ( once @ ( at @ SV1 @ SV13 ) )
| ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) ) )
| ~ ( ~ ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) )
| ( once @ ( at @ SV1 @ SV13 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(99,plain,
! [SV2: $i] :
( ( ( ~ ( once @ SV2 ) )
= $true )
| ( ( once @ ( at_the_same_time @ SV2 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(100,plain,
! [SV14: $i,SV3: $i] :
( ( ~ ( once @ ( at_the_same_time @ SV3 @ SV14 ) )
| ~ ( ~ ( once @ SV3 )
| ~ ( once @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(101,plain,
( ( ! [SY72: $i] :
( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ SY72 @ sK1_P )
| ~ ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ sK4_SX0 ) )
| ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ sK4_SX0 ) @ ( at @ sK3_SY44 @ SY72 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[88]) ).
thf(102,plain,
! [SV15: $i,SV4: $i] :
( ( ! [SY73: $i,SY74: $i] :
~ ( ~ ( ~ ( between_o @ SV4 @ SV15 @ SY73 @ SY74 )
| ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SY73 )
| ~ ( ordered_by @ SV4 @ SY73 @ SY74 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SY74 @ SY73 )
| ~ ( ordered_by @ SV4 @ SY73 @ SV15 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SY73 )
| ~ ( ordered_by @ SV4 @ SY73 @ SY74 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SY74 @ SY73 )
| ~ ( ordered_by @ SV4 @ SY73 @ SV15 ) ) )
| ( between_o @ SV4 @ SV15 @ SY73 @ SY74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(103,plain,
! [SV16: $i,SV5: $i] :
( ( ! [SY75: $i] :
~ ( ~ ( ~ ( connect @ SV5 @ SV16 @ SY75 )
| ( once @ ( at_the_same_time @ ( at @ SV5 @ SY75 ) @ ( at @ SV16 @ SY75 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV5 @ SY75 ) @ ( at @ SV16 @ SY75 ) ) )
| ( connect @ SV5 @ SV16 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV17: $i,SV6: $i] :
( ( ! [SY76: $i] :
( ~ ( ordered_by @ SV6 @ SV17 @ SY76 )
| ~ ( ~ ( incident_o @ SV17 @ SV6 )
| ~ ( incident_o @ SY76 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(105,plain,
! [SV18: $i,SV7: $i] :
( ( ~ ! [SY77: $i,SY78: $i] :
~ ( ~ ( ~ ( ordered_by @ SV7 @ SY77 @ SY78 )
| ( ordered_by @ SV18 @ SY77 @ SY78 ) )
| ~ ( ~ ( ordered_by @ SV18 @ SY77 @ SY78 )
| ( ordered_by @ SV7 @ SY77 @ SY78 ) ) )
| ( SV7 = SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(106,plain,
! [SV8: $i] :
( ( ! [SY61: $i] :
( ( trajectory_of @ SV8 )
!= SY61 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(107,plain,
! [SV19: $i,SV9: $i] :
( ( ! [SY79: $i] :
~ ( ~ ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SY79 ) )
| ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SY79 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SY79 ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SY79 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(108,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY80: $i,SY81: $i,SY82: $i,SY83: $i] :
( ~ ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SY82 @ SV10 ) @ ( at @ SY83 @ SV20 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SY82 @ SY80 ) @ ( at @ SY83 @ SY81 ) ) ) )
| ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SY82 ) @ SV10 @ SY80 )
| ~ ( ordered_by @ ( trajectory_of @ SY83 ) @ SY81 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(109,plain,
! [SV11: $i] :
( ( ( ~ ( once @ SV11 ) )
= $true )
| ( ( ! [SY69: $i] :
~ ! [SY70: $i] :
~ ( once @ ( at_the_same_time @ SV11 @ ( at @ SY69 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(110,plain,
! [SV21: $i,SV12: $i] :
( ( ~ ( ~ ( ~ ( once @ ( at_the_same_time @ SV12 @ SV21 ) )
| ( once @ ( at_the_same_time @ SV21 @ SV12 ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SV21 @ SV12 ) )
| ( once @ ( at_the_same_time @ SV12 @ SV21 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV13: $i,SV1: $i] :
( ( ~ ( ~ ( once @ ( at @ SV1 @ SV13 ) )
| ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) ) )
| ~ ( ~ ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) )
| ( once @ ( at @ SV1 @ SV13 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV2: $i] :
( ( ( once @ SV2 )
= $false )
| ( ( once @ ( at_the_same_time @ SV2 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(113,plain,
! [SV14: $i,SV3: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ SV3 @ SV14 ) ) )
= $true )
| ( ( ~ ( ~ ( once @ SV3 )
| ~ ( once @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(114,plain,
( ( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ sK5_SY72 @ sK1_P )
| ~ ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ sK4_SX0 ) )
| ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ sK4_SX0 ) @ ( at @ sK3_SY44 @ sK5_SY72 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[101]) ).
thf(115,plain,
! [SV22: $i,SV15: $i,SV4: $i] :
( ( ! [SY84: $i] :
~ ( ~ ( ~ ( between_o @ SV4 @ SV15 @ SV22 @ SY84 )
| ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SY84 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SY84 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SY84 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SY84 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
| ( between_o @ SV4 @ SV15 @ SV22 @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( connect @ SV5 @ SV16 @ SV23 )
| ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) )
| ( connect @ SV5 @ SV16 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV24: $i,SV17: $i,SV6: $i] :
( ( ~ ( ordered_by @ SV6 @ SV17 @ SV24 )
| ~ ( ~ ( incident_o @ SV17 @ SV6 )
| ~ ( incident_o @ SV24 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ! [SY77: $i,SY78: $i] :
~ ( ~ ( ~ ( ordered_by @ SV7 @ SY77 @ SY78 )
| ( ordered_by @ SV18 @ SY77 @ SY78 ) )
| ~ ( ~ ( ordered_by @ SV18 @ SY77 @ SY78 )
| ( ordered_by @ SV7 @ SY77 @ SY78 ) ) ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV8: $i] :
( ( ( trajectory_of @ SV8 )
!= ( sK6_SY61 @ SV8 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(120,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ~ ( ~ ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) )
| ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(121,plain,
! [SV26: $i,SV20: $i,SV10: $i] :
( ( ! [SY85: $i,SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SY86 @ SV10 ) @ ( at @ SY87 @ SV20 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SY86 @ SV26 ) @ ( at @ SY87 @ SY85 ) ) ) )
| ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SY86 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SY87 ) @ SY85 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV11: $i] :
( ( ( once @ SV11 )
= $false )
| ( ( ! [SY69: $i] :
~ ! [SY70: $i] :
~ ( once @ ( at_the_same_time @ SV11 @ ( at @ SY69 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV21: $i,SV12: $i] :
( ( ~ ( ~ ( once @ ( at_the_same_time @ SV12 @ SV21 ) )
| ( once @ ( at_the_same_time @ SV21 @ SV12 ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SV21 @ SV12 ) )
| ( once @ ( at_the_same_time @ SV12 @ SV21 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV13: $i,SV1: $i] :
( ( ~ ( ~ ( once @ ( at @ SV1 @ SV13 ) )
| ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(125,plain,
! [SV1: $i,SV13: $i] :
( ( ~ ( ~ ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) )
| ( once @ ( at @ SV1 @ SV13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(126,plain,
! [SV14: $i,SV3: $i] :
( ( ( once @ ( at_the_same_time @ SV3 @ SV14 ) )
= $false )
| ( ( ~ ( ~ ( once @ SV3 )
| ~ ( once @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(127,plain,
( ( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ sK5_SY72 @ sK1_P )
| ~ ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(128,plain,
( ( ~ ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ sK4_SX0 ) @ ( at @ sK3_SY44 @ sK5_SY72 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(129,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
| ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
| ( between_o @ SV4 @ SV15 @ SV22 @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(130,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ~ ( ~ ( connect @ SV5 @ SV16 @ SV23 )
| ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) )
| ( connect @ SV5 @ SV16 @ SV23 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(131,plain,
! [SV24: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( ordered_by @ SV6 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ( incident_o @ SV17 @ SV6 )
| ~ ( incident_o @ SV24 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(132,plain,
! [SV18: $i,SV7: $i] :
( ( ( ! [SY77: $i,SY78: $i] :
~ ( ~ ( ~ ( ordered_by @ SV7 @ SY77 @ SY78 )
| ( ordered_by @ SV18 @ SY77 @ SY78 ) )
| ~ ( ~ ( ordered_by @ SV18 @ SY77 @ SY78 )
| ( ordered_by @ SV7 @ SY77 @ SY78 ) ) ) )
= $false )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(133,plain,
! [SV8: $i] :
( ( ( trajectory_of @ SV8 )
= ( sK6_SY61 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(134,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ~ ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) )
| ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) ) )
| ~ ( ~ ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(135,plain,
! [SV28: $i,SV26: $i,SV20: $i,SV10: $i] :
( ( ! [SY88: $i,SY89: $i] :
( ~ ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SY88 @ SV10 ) @ ( at @ SY89 @ SV20 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SY88 @ SV26 ) @ ( at @ SY89 @ SV28 ) ) ) )
| ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SY88 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SY89 ) @ SV28 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(136,plain,
! [SV29: $i,SV11: $i] :
( ( ( ~ ! [SY90: $i] :
~ ( once @ ( at_the_same_time @ SV11 @ ( at @ SV29 @ SY90 ) ) ) )
= $true )
| ( ( once @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV21: $i,SV12: $i] :
( ( ~ ( ~ ( once @ ( at_the_same_time @ SV12 @ SV21 ) )
| ( once @ ( at_the_same_time @ SV21 @ SV12 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(138,plain,
! [SV12: $i,SV21: $i] :
( ( ~ ( ~ ( once @ ( at_the_same_time @ SV21 @ SV12 ) )
| ( once @ ( at_the_same_time @ SV12 @ SV21 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(139,plain,
! [SV13: $i,SV1: $i] :
( ( ~ ( once @ ( at @ SV1 @ SV13 ) )
| ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(140,plain,
! [SV1: $i,SV13: $i] :
( ( ~ ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) )
| ( once @ ( at @ SV1 @ SV13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(141,plain,
! [SV14: $i,SV3: $i] :
( ( ( ~ ( once @ SV3 )
| ~ ( once @ SV14 ) )
= $false )
| ( ( once @ ( at_the_same_time @ SV3 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(142,plain,
( ( ~ ( ~ ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ sK5_SY72 @ sK1_P )
| ~ ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(143,plain,
( ( once @ ( at_the_same_time @ ( at @ sK2_SY40 @ sK4_SX0 ) @ ( at @ sK3_SY44 @ sK5_SY72 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(144,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ~ ( ~ ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
| ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
| ( between_o @ SV4 @ SV15 @ SV22 @ SV27 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ~ ( ~ ( connect @ SV5 @ SV16 @ SV23 )
| ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(146,plain,
! [SV16: $i,SV23: $i,SV5: $i] :
( ( ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) )
| ( connect @ SV5 @ SV16 @ SV23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(147,plain,
! [SV24: $i,SV17: $i,SV6: $i] :
( ( ( ordered_by @ SV6 @ SV17 @ SV24 )
= $false )
| ( ( ~ ( ~ ( incident_o @ SV17 @ SV6 )
| ~ ( incident_o @ SV24 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(148,plain,
! [SV18: $i,SV7: $i] :
( ( ( ! [SY91: $i] :
~ ( ~ ( ~ ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ SY91 )
| ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ SY91 ) )
| ~ ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ SY91 )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ SY91 ) ) ) )
= $false )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[132]) ).
thf(149,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ~ ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) )
| ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(150,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ~ ( ~ ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(151,plain,
! [SV28: $i,SV26: $i,SV20: $i,SV10: $i,SV30: $i] :
( ( ! [SY92: $i] :
( ~ ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SY92 @ SV20 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SY92 @ SV28 ) ) ) )
| ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SY92 ) @ SV28 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(152,plain,
! [SV29: $i,SV11: $i] :
( ( ( ! [SY90: $i] :
~ ( once @ ( at_the_same_time @ SV11 @ ( at @ SV29 @ SY90 ) ) ) )
= $false )
| ( ( once @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV21: $i,SV12: $i] :
( ( ~ ( once @ ( at_the_same_time @ SV12 @ SV21 ) )
| ( once @ ( at_the_same_time @ SV21 @ SV12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(154,plain,
! [SV12: $i,SV21: $i] :
( ( ~ ( once @ ( at_the_same_time @ SV21 @ SV12 ) )
| ( once @ ( at_the_same_time @ SV12 @ SV21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(155,plain,
! [SV13: $i,SV1: $i] :
( ( ( ~ ( once @ ( at @ SV1 @ SV13 ) ) )
= $true )
| ( ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(156,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) ) )
= $true )
| ( ( once @ ( at @ SV1 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(157,plain,
! [SV14: $i,SV3: $i] :
( ( ( ~ ( once @ SV3 ) )
= $false )
| ( ( once @ ( at_the_same_time @ SV3 @ SV14 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(158,plain,
! [SV3: $i,SV14: $i] :
( ( ( ~ ( once @ SV14 ) )
= $false )
| ( ( once @ ( at_the_same_time @ SV3 @ SV14 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(159,plain,
( ( ~ ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ sK5_SY72 @ sK1_P )
| ~ ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(160,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ~ ( ~ ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
| ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(161,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
| ( between_o @ SV4 @ SV15 @ SV22 @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(162,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ~ ( connect @ SV5 @ SV16 @ SV23 )
| ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(163,plain,
! [SV16: $i,SV23: $i,SV5: $i] :
( ( ~ ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) )
| ( connect @ SV5 @ SV16 @ SV23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(164,plain,
! [SV24: $i,SV6: $i,SV17: $i] :
( ( ( ~ ( incident_o @ SV17 @ SV6 )
| ~ ( incident_o @ SV24 @ SV6 ) )
= $false )
| ( ( ordered_by @ SV6 @ SV17 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(165,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( ~ ( ~ ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) )
| ~ ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) ) ) )
= $false )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[148]) ).
thf(166,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) )
| ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(167,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ~ ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(168,plain,
! [SV28: $i,SV26: $i,SV20: $i,SV31: $i,SV10: $i,SV30: $i] :
( ( ~ ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) ) )
| ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(169,plain,
! [SV29: $i,SV11: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ SV11 @ ( at @ SV29 @ ( sK9_SY90 @ SV29 @ SV11 ) ) ) ) )
= $false )
| ( ( once @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(170,plain,
! [SV21: $i,SV12: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ SV12 @ SV21 ) ) )
= $true )
| ( ( once @ ( at_the_same_time @ SV21 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(171,plain,
! [SV12: $i,SV21: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ SV21 @ SV12 ) ) )
= $true )
| ( ( once @ ( at_the_same_time @ SV12 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(172,plain,
! [SV13: $i,SV1: $i] :
( ( ( once @ ( at @ SV1 @ SV13 ) )
= $false )
| ( ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(173,plain,
! [SV1: $i,SV13: $i] :
( ( ( incident_o @ SV13 @ ( trajectory_of @ SV1 ) )
= $false )
| ( ( once @ ( at @ SV1 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(174,plain,
! [SV14: $i,SV3: $i] :
( ( ( once @ SV3 )
= $true )
| ( ( once @ ( at_the_same_time @ SV3 @ SV14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(175,plain,
! [SV3: $i,SV14: $i] :
( ( ( once @ SV14 )
= $true )
| ( ( once @ ( at_the_same_time @ SV3 @ SV14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(176,plain,
( ( ~ ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ sK5_SY72 @ sK1_P ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(177,plain,
( ( ~ ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(178,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ~ ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
| ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(179,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
| ( between_o @ SV4 @ SV15 @ SV22 @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(180,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( connect @ SV5 @ SV16 @ SV23 ) )
= $true )
| ( ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(181,plain,
! [SV16: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) ) )
= $true )
| ( ( connect @ SV5 @ SV16 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(182,plain,
! [SV24: $i,SV6: $i,SV17: $i] :
( ( ( ~ ( incident_o @ SV17 @ SV6 ) )
= $false )
| ( ( ordered_by @ SV6 @ SV17 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(183,plain,
! [SV17: $i,SV6: $i,SV24: $i] :
( ( ( ~ ( incident_o @ SV24 @ SV6 ) )
= $false )
| ( ( ordered_by @ SV6 @ SV17 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(184,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) )
| ~ ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(185,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) ) )
= $true )
| ( ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(186,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) ) )
= $true )
| ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(187,plain,
! [SV28: $i,SV26: $i,SV20: $i,SV31: $i,SV10: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(188,plain,
! [SV29: $i,SV11: $i] :
( ( ( once @ ( at_the_same_time @ SV11 @ ( at @ SV29 @ ( sK9_SY90 @ SV29 @ SV11 ) ) ) )
= $true )
| ( ( once @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(189,plain,
! [SV21: $i,SV12: $i] :
( ( ( once @ ( at_the_same_time @ SV12 @ SV21 ) )
= $false )
| ( ( once @ ( at_the_same_time @ SV21 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(190,plain,
! [SV12: $i,SV21: $i] :
( ( ( once @ ( at_the_same_time @ SV21 @ SV12 ) )
= $false )
| ( ( once @ ( at_the_same_time @ SV12 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(191,plain,
( ( ordered_by @ ( trajectory_of @ sK3_SY44 ) @ sK5_SY72 @ sK1_P )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(192,plain,
( ( ordered_by @ ( trajectory_of @ sK2_SY40 ) @ sK1_P @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(193,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( between_o @ SV4 @ SV15 @ SV22 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(194,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(195,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( connect @ SV5 @ SV16 @ SV23 )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(196,plain,
! [SV16: $i,SV23: $i,SV5: $i] :
( ( ( once @ ( at_the_same_time @ ( at @ SV5 @ SV23 ) @ ( at @ SV16 @ SV23 ) ) )
= $false )
| ( ( connect @ SV5 @ SV16 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(197,plain,
! [SV24: $i,SV6: $i,SV17: $i] :
( ( ( incident_o @ SV17 @ SV6 )
= $true )
| ( ( ordered_by @ SV6 @ SV17 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(198,plain,
! [SV17: $i,SV6: $i,SV24: $i] :
( ( ( incident_o @ SV24 @ SV6 )
= $true )
| ( ( ordered_by @ SV6 @ SV17 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(199,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(200,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) )
= $false )
| ( ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(201,plain,
! [SV25: $i,SV19: $i,SV9: $i] :
( ( ( once @ ( at_the_same_time @ SV9 @ ( at_the_same_time @ SV19 @ SV25 ) ) )
= $false )
| ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV9 @ SV19 ) @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(202,plain,
! [SV28: $i,SV26: $i,SV20: $i,SV31: $i,SV10: $i,SV30: $i] :
( ( ( ~ ( ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(203,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(204,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
| ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $false )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(205,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(206,plain,
! [SV28: $i,SV26: $i,SV20: $i,SV31: $i,SV10: $i,SV30: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(207,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) ) )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(208,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) ) )
= $false )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(209,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $false )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(210,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(211,plain,
! [SV7: $i,SV18: $i] :
( ( ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(212,plain,
! [SV28: $i,SV26: $i,SV20: $i,SV31: $i,SV10: $i,SV30: $i] :
( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) ) )
= $true )
| ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(213,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(214,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(215,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(216,plain,
! [SV18: $i,SV7: $i] :
( ( ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(217,plain,
! [SV7: $i,SV18: $i] :
( ( ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) )
= $false )
| ( ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $false )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(218,plain,
! [SV28: $i,SV26: $i,SV20: $i,SV31: $i,SV10: $i,SV30: $i] :
( ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
= $false )
| ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(219,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(220,plain,
! [SV15: $i,SV27: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(221,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV15 @ SV22 ) )
= $true )
| ( ( ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(222,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 ) )
= $true )
| ( ( ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(223,plain,
! [SV7: $i,SV18: $i] :
( ( ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
| ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) )
= $false )
| ( ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(224,plain,
! [SV7: $i,SV18: $i] :
( ( ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) )
= $false )
| ( ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $false )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(225,plain,
! [SV18: $i,SV7: $i] :
( ( ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $false )
| ( ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $false )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(226,plain,
! [SV20: $i,SV10: $i,SV28: $i,SV31: $i,SV26: $i,SV30: $i] :
( ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(227,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV15 @ SV22 )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(228,plain,
! [SV15: $i,SV27: $i,SV22: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV22 @ SV27 )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(229,plain,
! [SV27: $i,SV22: $i,SV15: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV15 @ SV22 )
= $false )
| ( ( ~ ( ordered_by @ SV4 @ SV22 @ SV27 ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(230,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV27 @ SV22 )
= $false )
| ( ( ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(231,plain,
! [SV7: $i,SV18: $i] :
( ( ( ~ ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) ) )
= $false )
| ( ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(232,plain,
! [SV18: $i,SV7: $i] :
( ( ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $false )
| ( ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(233,plain,
! [SV7: $i,SV18: $i] :
( ( ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $true )
| ( ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $false )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(234,plain,
! [SV20: $i,SV28: $i,SV31: $i,SV26: $i,SV10: $i,SV30: $i] :
( ( ( ~ ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) ) )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) )
= $false )
| ( ( ordered_by @ SV4 @ SV15 @ SV22 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 )
| ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) )
= $false )
| ( ( ordered_by @ SV4 @ SV22 @ SV27 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(237,plain,
! [SV15: $i,SV27: $i,SV22: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV22 @ SV27 )
= $false )
| ( ( ordered_by @ SV4 @ SV15 @ SV22 )
= $false )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(238,plain,
! [SV27: $i,SV15: $i,SV22: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV22 @ SV15 )
= $false )
| ( ( ordered_by @ SV4 @ SV27 @ SV22 )
= $false )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(239,plain,
! [SV7: $i,SV18: $i] :
( ( ( ordered_by @ SV18 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $true )
| ( ( ordered_by @ SV7 @ ( sK7_SY77 @ SV18 @ SV7 ) @ ( sK8_SY91 @ SV18 @ SV7 ) )
= $true )
| ( ( SV7 = SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(240,plain,
! [SV20: $i,SV28: $i,SV31: $i,SV26: $i,SV10: $i,SV30: $i] :
( ( ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
| ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) )
= $true )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(241,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 ) )
= $false )
| ( ( ordered_by @ SV4 @ SV15 @ SV22 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(242,plain,
! [SV27: $i,SV15: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) )
= $false )
| ( ( ordered_by @ SV4 @ SV15 @ SV22 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(243,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV27 @ SV22 ) )
= $false )
| ( ( ordered_by @ SV4 @ SV22 @ SV27 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(244,plain,
! [SV27: $i,SV15: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( ordered_by @ SV4 @ SV22 @ SV15 ) )
= $false )
| ( ( ordered_by @ SV4 @ SV22 @ SV27 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(245,plain,
! [SV20: $i,SV28: $i,SV31: $i,SV26: $i,SV10: $i,SV30: $i] :
( ( ( ~ ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 ) )
= $true )
| ( ( ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) )
= $true )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(246,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV27 @ SV22 )
= $true )
| ( ( ordered_by @ SV4 @ SV15 @ SV22 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(247,plain,
! [SV27: $i,SV15: $i,SV22: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV22 @ SV15 )
= $true )
| ( ( ordered_by @ SV4 @ SV15 @ SV22 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(248,plain,
! [SV15: $i,SV22: $i,SV27: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV27 @ SV22 )
= $true )
| ( ( ordered_by @ SV4 @ SV22 @ SV27 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(249,plain,
! [SV27: $i,SV15: $i,SV22: $i,SV4: $i] :
( ( ( ordered_by @ SV4 @ SV22 @ SV15 )
= $true )
| ( ( ordered_by @ SV4 @ SV22 @ SV27 )
= $true )
| ( ( between_o @ SV4 @ SV15 @ SV22 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(250,plain,
! [SV20: $i,SV28: $i,SV31: $i,SV26: $i,SV10: $i,SV30: $i] :
( ( ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
= $false )
| ( ( ~ ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 ) )
= $true )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(251,plain,
! [SV26: $i,SV10: $i,SV30: $i,SV20: $i,SV28: $i,SV31: $i] :
( ( ( ordered_by @ ( trajectory_of @ SV31 ) @ SV28 @ SV20 )
= $false )
| ( ( ordered_by @ ( trajectory_of @ SV30 ) @ SV10 @ SV26 )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV10 ) @ ( at @ SV31 @ SV20 ) ) )
= $false )
| ( ( once @ ( at_the_same_time @ ( at @ SV30 @ SV26 ) @ ( at @ SV31 @ SV28 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(252,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,251,249,248,247,246,239,238,237,233,232,225,201,200,198,197,196,195,192,191,190,189,188,175,174,173,172,143,133,112]) ).
thf(253,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n016.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Oct 6 10:10:59 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.18/0.73
% 3.18/0.73 No.of.Axioms: 12
% 3.18/0.73
% 3.18/0.73 Length.of.Defs: 0
% 3.18/0.73
% 3.18/0.73 Contains.Choice.Funs: false
% 3.18/0.73 ........
% 3.18/0.73
% 3.18/0.73 ********************************
% 3.18/0.73 * All subproblems solved! *
% 3.18/0.73 ********************************
% 3.18/0.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:13,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:252,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.18/0.73
% 3.18/0.73 %**** Beginning of derivation protocol ****
% 3.18/0.73 % SZS output start CNFRefutation
% See solution above
% 3.18/0.73
% 3.18/0.73 %**** End of derivation protocol ****
% 3.18/0.73 %**** no. of clauses in derivation: 229 ****
% 3.18/0.73 %**** clause counter: 252 ****
% 3.18/0.73
% 3.18/0.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:13,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:252,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------