%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GRA007+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:19:41 AM UTC 2026
% Result : Theorem 2.77s 0.94s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 12
% Syntax : Number of formulae : 457 ( 106 unt; 0 typ; 0 def)
% Number of atoms : 5485 (2177 equ; 0 cnn)
% Maximal formula atoms : 9 ( 12 avg)
% Number of connectives : 10962 (3374 ~;2049 |; 111 &;5368 @)
% ( 9 <=>; 42 =>; 3 <=; 6 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 14 con; 0-6 aty)
% Number of variables : 1703 ( 0 ^;1682 !; 21 ?;1703 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_complete,type,
complete: $o ).
thf(tp_edge,type,
edge: $i > $o ).
thf(tp_edges,type,
edges: $i ).
thf(tp_empty,type,
empty: $i ).
thf(tp_graph,type,
graph: $i ).
thf(tp_head_of,type,
head_of: $i > $i ).
thf(tp_in_path,type,
in_path: $i > $i > $o ).
thf(tp_length_of,type,
length_of: $i > $i ).
thf(tp_less_or_equal,type,
less_or_equal: $i > $i > $o ).
thf(tp_minus,type,
minus: $i > $i > $i ).
thf(tp_n1,type,
n1: $i ).
thf(tp_number_of_in,type,
number_of_in: $i > $i > $i ).
thf(tp_on_path,type,
on_path: $i > $i > $o ).
thf(tp_path,type,
path: $i > $i > $i > $o ).
thf(tp_path_cons,type,
path_cons: $i > $i > $i ).
thf(tp_precedes,type,
precedes: $i > $i > $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY100,type,
sK2_SY100: $i ).
thf(tp_sK3_SY124,type,
sK3_SY124: $i ).
thf(tp_sK4_SY134,type,
sK4_SY134: $i ).
thf(tp_sK5_SY139,type,
sK5_SY139: $i ).
thf(tp_sK6_SY129,type,
sK6_SY129: $i > $i > $i ).
thf(tp_sK7_SY120,type,
sK7_SY120: $i > $i > $i > $i ).
thf(tp_sK8_SY148,type,
sK8_SY148: $i > $i > $i > $i > $i > $i ).
thf(tp_sK9_SY148,type,
sK9_SY148: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sequential,type,
sequential: $i > $i > $o ).
thf(tp_sequential_pairs,type,
sequential_pairs: $i ).
thf(tp_shortest_path,type,
shortest_path: $i > $i > $i > $o ).
thf(tp_tail_of,type,
tail_of: $i > $i ).
thf(tp_triangle,type,
triangle: $i > $i > $i > $o ).
thf(tp_triangles,type,
triangles: $i ).
thf(tp_vertex,type,
vertex: $i > $o ).
thf(5,axiom,
! [E1: $i,E2: $i,E3: $i] :
( ( triangle @ E1 @ E2 @ E3 )
<=> ( ( edge @ E1 )
& ( edge @ E2 )
& ( edge @ E3 )
& ( sequential @ E1 @ E2 )
& ( sequential @ E2 @ E3 )
& ( sequential @ E3 @ E1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle_defn) ).
thf(6,axiom,
! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ( ~ ? [E3: $i] :
( ( ( tail_of @ E3 )
= ( tail_of @ E1 ) )
& ( ( head_of @ E3 )
= ( head_of @ E2 ) ) )
& ~ ( precedes @ E2 @ E1 @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_properties) ).
thf(7,axiom,
! [V1: $i,V2: $i,SP: $i] :
( ( shortest_path @ V1 @ V2 @ SP )
<=> ( ( path @ V1 @ V2 @ SP )
& ( V1 != V2 )
& ! [P: $i] :
( ( path @ V1 @ V2 @ P )
=> ( less_or_equal @ ( length_of @ SP ) @ ( length_of @ P ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_defn) ).
thf(8,axiom,
! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( precedes @ E1 @ E2 @ P )
=> ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
<~> ? [E3: $i] :
( ( sequential @ E1 @ E3 )
& ( precedes @ E3 @ E2 @ P ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_properties) ).
thf(9,axiom,
! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( precedes @ E1 @ E2 @ P )
<= ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
| ? [E3: $i] :
( ( sequential @ E1 @ E3 )
& ( precedes @ E3 @ E2 @ P ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_defn) ).
thf(10,axiom,
! [E1: $i,E2: $i] :
( ( sequential @ E1 @ E2 )
<=> ( ( edge @ E1 )
& ( edge @ E2 )
& ( E1 != E2 )
& ( ( head_of @ E1 )
= ( tail_of @ E2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_defn) ).
thf(12,axiom,
! [V1: $i,V2: $i,P: $i,E: $i] :
( ( ( path @ V1 @ V2 @ P )
& ( on_path @ E @ P ) )
=> ( ( edge @ E )
& ( in_path @ ( head_of @ E ) @ P )
& ( in_path @ ( tail_of @ E ) @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',on_path_properties) ).
thf(15,axiom,
( complete
=> ! [V1: $i,V2: $i] :
( ( ( vertex @ V1 )
& ( vertex @ V2 )
& ( V1 != V2 ) )
=> ? [E: $i] :
( ( edge @ E )
& ( ( ( V1
= ( head_of @ E ) )
& ( V2
= ( tail_of @ E ) ) )
<~> ( ( V2
= ( head_of @ E ) )
& ( V1
= ( tail_of @ E ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complete_properties) ).
thf(16,axiom,
! [E: $i] :
( ( edge @ E )
=> ( ( vertex @ ( head_of @ E ) )
& ( vertex @ ( tail_of @ E ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',edge_ends_are_vertices) ).
thf(17,axiom,
! [E: $i] :
( ( edge @ E )
=> ( ( head_of @ E )
!= ( tail_of @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_loops) ).
thf(18,axiom,
! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ~ ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( tail_of @ E1 ) )
& ( ( head_of @ E3 )
= ( head_of @ E2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_short_cut_edge) ).
thf(19,conjecture,
( complete
=> ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( head_of @ E2 ) )
& ( ( head_of @ E3 )
= ( tail_of @ E1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',back_edge) ).
thf(20,negated_conjecture,
( ( complete
=> ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( head_of @ E2 ) )
& ( ( head_of @ E3 )
= ( tail_of @ E1 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( complete
=> ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( head_of @ E2 ) )
& ( ( head_of @ E3 )
= ( tail_of @ E1 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[20]) ).
thf(22,plain,
( ( ! [E1: $i,E2: $i,E3: $i] :
( ( triangle @ E1 @ E2 @ E3 )
<=> ( ( edge @ E1 )
& ( edge @ E2 )
& ( edge @ E3 )
& ( sequential @ E1 @ E2 )
& ( sequential @ E2 @ E3 )
& ( sequential @ E3 @ E1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ( ~ ? [E3: $i] :
( ( ( tail_of @ E3 )
= ( tail_of @ E1 ) )
& ( ( head_of @ E3 )
= ( head_of @ E2 ) ) )
& ~ ( precedes @ E2 @ E1 @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(24,plain,
( ( ! [V1: $i,V2: $i,SP: $i] :
( ( shortest_path @ V1 @ V2 @ SP )
<=> ( ( path @ V1 @ V2 @ SP )
& ( V1 != V2 )
& ! [P: $i] :
( ( path @ V1 @ V2 @ P )
=> ( less_or_equal @ ( length_of @ SP ) @ ( length_of @ P ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(25,plain,
( ( ! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( precedes @ E1 @ E2 @ P )
=> ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
<~> ? [E3: $i] :
( ( sequential @ E1 @ E3 )
& ( precedes @ E3 @ E2 @ P ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(26,plain,
( ( ! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( precedes @ E1 @ E2 @ P )
<= ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
| ? [E3: $i] :
( ( sequential @ E1 @ E3 )
& ( precedes @ E3 @ E2 @ P ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(27,plain,
( ( ! [E1: $i,E2: $i] :
( ( sequential @ E1 @ E2 )
<=> ( ( edge @ E1 )
& ( edge @ E2 )
& ( E1 != E2 )
& ( ( head_of @ E1 )
= ( tail_of @ E2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(28,plain,
( ( ! [V1: $i,V2: $i,P: $i,E: $i] :
( ( ( path @ V1 @ V2 @ P )
& ( on_path @ E @ P ) )
=> ( ( edge @ E )
& ( in_path @ ( head_of @ E ) @ P )
& ( in_path @ ( tail_of @ E ) @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(29,plain,
( ( complete
=> ! [V1: $i,V2: $i] :
( ( ( vertex @ V1 )
& ( vertex @ V2 )
& ( V1 != V2 ) )
=> ? [E: $i] :
( ( edge @ E )
& ( ( ( V1
= ( head_of @ E ) )
& ( V2
= ( tail_of @ E ) ) )
<~> ( ( V2
= ( head_of @ E ) )
& ( V1
= ( tail_of @ E ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(30,plain,
( ( ! [E: $i] :
( ( edge @ E )
=> ( ( vertex @ ( head_of @ E ) )
& ( vertex @ ( tail_of @ E ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(31,plain,
( ( ! [E: $i] :
( ( edge @ E )
=> ( ( head_of @ E )
!= ( tail_of @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(32,plain,
( ( ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ~ ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( tail_of @ E1 ) )
& ( ( head_of @ E3 )
= ( head_of @ E2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(33,plain,
complete = $true,
inference(standard_cnf,[status(thm)],[21]) ).
thf(34,plain,
( ( ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( head_of @ E2 ) )
& ( ( head_of @ E3 )
= ( tail_of @ E1 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[21]) ).
thf(35,plain,
( ( ~ ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( head_of @ E2 ) )
& ( ( head_of @ E3 )
= ( tail_of @ E1 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[34]) ).
thf(36,plain,
( ( ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ~ ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( tail_of @ E1 ) )
& ( ( head_of @ E3 )
= ( head_of @ E2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(37,plain,
( ( ! [E: $i] :
( ( edge @ E )
=> ( ( head_of @ E )
!= ( tail_of @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(38,plain,
( ( ! [E: $i] :
( ( edge @ E )
=> ( ( vertex @ ( head_of @ E ) )
& ( vertex @ ( tail_of @ E ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(39,plain,
( ( complete
=> ! [V1: $i,V2: $i] :
( ( ( vertex @ V1 )
& ( vertex @ V2 )
& ( V1 != V2 ) )
=> ? [E: $i] :
( ( edge @ E )
& ( ( ( V1
= ( head_of @ E ) )
& ( V2
= ( tail_of @ E ) ) )
<~> ( ( V2
= ( head_of @ E ) )
& ( V1
= ( tail_of @ E ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(40,plain,
( ( ! [V1: $i,V2: $i,P: $i,E: $i] :
( ( ( path @ V1 @ V2 @ P )
& ( on_path @ E @ P ) )
=> ( ( edge @ E )
& ( in_path @ ( head_of @ E ) @ P )
& ( in_path @ ( tail_of @ E ) @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(41,plain,
( ( ! [E1: $i,E2: $i] :
( ( sequential @ E1 @ E2 )
<=> ( ( edge @ E1 )
& ( edge @ E2 )
& ( E1 != E2 )
& ( ( head_of @ E1 )
= ( tail_of @ E2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(42,plain,
( ( ! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( precedes @ E1 @ E2 @ P )
<= ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
| ? [E3: $i] :
( ( sequential @ E1 @ E3 )
& ( precedes @ E3 @ E2 @ P ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(43,plain,
( ( ! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( precedes @ E1 @ E2 @ P )
=> ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
<~> ? [E3: $i] :
( ( sequential @ E1 @ E3 )
& ( precedes @ E3 @ E2 @ P ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(44,plain,
( ( ! [V1: $i,V2: $i,SP: $i] :
( ( shortest_path @ V1 @ V2 @ SP )
<=> ( ( path @ V1 @ V2 @ SP )
& ( V1 != V2 )
& ! [P: $i] :
( ( path @ V1 @ V2 @ P )
=> ( less_or_equal @ ( length_of @ SP ) @ ( length_of @ P ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(45,plain,
( ( ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ( ~ ? [E3: $i] :
( ( ( tail_of @ E3 )
= ( tail_of @ E1 ) )
& ( ( head_of @ E3 )
= ( head_of @ E2 ) ) )
& ~ ( precedes @ E2 @ E1 @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(46,plain,
( ( ! [E1: $i,E2: $i,E3: $i] :
( ( triangle @ E1 @ E2 @ E3 )
<=> ( ( edge @ E1 )
& ( edge @ E2 )
& ( edge @ E3 )
& ( sequential @ E1 @ E2 )
& ( sequential @ E2 @ E3 )
& ( sequential @ E3 @ E1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(47,plain,
complete = $true,
inference(copy,[status(thm)],[33]) ).
thf(48,plain,
( ( ~ ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ? [E3: $i] :
( ( edge @ E3 )
& ( ( tail_of @ E3 )
= ( head_of @ E2 ) )
& ( ( head_of @ E3 )
= ( tail_of @ E1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(49,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( path @ SX1 @ SX2 @ SX0 )
| ! [SX3: $i,SX4: $i] :
( ~ ( precedes @ SX3 @ SX4 @ SX0 )
| ~ ( ~ ~ ( ~ ( on_path @ SX3 @ SX0 )
| ~ ( on_path @ SX4 @ SX0 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
~ ~ ( ~ ( sequential @ SX3 @ SX5 )
| ~ ( precedes @ SX5 @ SX4 @ SX0 ) ) )
| ~ ( ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( sequential @ SX3 @ SX5 )
| ~ ( precedes @ SX5 @ SX4 @ SX0 ) )
| ( sequential @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(50,plain,
( ( ~ complete
| ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( vertex @ SX0 )
| ~ ( vertex @ SX1 ) )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( edge @ SX2 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SX0
!= ( head_of @ SX2 ) )
| ( SX1
!= ( tail_of @ SX2 ) ) )
| ~ ( ( SX1
!= ( head_of @ SX2 ) )
| ( SX0
!= ( tail_of @ SX2 ) ) ) )
| ~ ( ~ ~ ( ( SX1
!= ( head_of @ SX2 ) )
| ( SX0
!= ( tail_of @ SX2 ) ) )
| ~ ( ( SX0
!= ( head_of @ SX2 ) )
| ( SX1
!= ( tail_of @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(51,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( triangle @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SX0 )
| ~ ( edge @ SX1 ) )
| ~ ( edge @ SX2 ) )
| ~ ( sequential @ SX0 @ SX1 ) )
| ~ ( sequential @ SX1 @ SX2 ) )
| ~ ( sequential @ SX2 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SX0 )
| ~ ( edge @ SX1 ) )
| ~ ( edge @ SX2 ) )
| ~ ( sequential @ SX0 @ SX1 ) )
| ~ ( sequential @ SX1 @ SX2 ) )
| ~ ( sequential @ SX2 @ SX0 ) )
| ( triangle @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(52,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( path @ SX1 @ SX2 @ SX0 )
| ! [SX3: $i,SX4: $i] :
( ( precedes @ SX3 @ SX4 @ SX0 )
| ~ ~ ( ~ ~ ( ~ ( on_path @ SX3 @ SX0 )
| ~ ( on_path @ SX4 @ SX0 ) )
| ~ ( ( sequential @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
~ ~ ( ~ ( sequential @ SX3 @ SX5 )
| ~ ( precedes @ SX5 @ SX4 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(53,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( sequential @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SX0 )
| ~ ( edge @ SX1 ) )
| ~ ( ( SX0 != SX1 ) ) )
| ( ( head_of @ SX0 )
!= ( tail_of @ SX1 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SX0 )
| ~ ( edge @ SX1 ) )
| ~ ( ( SX0 != SX1 ) ) )
| ( ( head_of @ SX0 )
!= ( tail_of @ SX1 ) ) )
| ( sequential @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(54,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( shortest_path @ SX0 @ SX1 @ SX4 )
| ~ ( precedes @ SX2 @ SX3 @ SX4 ) )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SX5 )
| ( ( tail_of @ SX5 )
!= ( tail_of @ SX2 ) ) )
| ( ( head_of @ SX5 )
!= ( head_of @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(55,plain,
( ( ! [SX0: $i] :
( ~ ( edge @ SX0 )
| ( ( head_of @ SX0 )
!= ( tail_of @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(56,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( shortest_path @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ( path @ SX0 @ SX1 @ SX2 )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ! [SX3: $i] :
( ~ ( path @ SX0 @ SX1 @ SX3 )
| ( less_or_equal @ ( length_of @ SX2 ) @ ( length_of @ SX3 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( path @ SX0 @ SX1 @ SX2 )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ! [SX3: $i] :
( ~ ( path @ SX0 @ SX1 @ SX3 )
| ( less_or_equal @ ( length_of @ SX2 ) @ ( length_of @ SX3 ) ) ) )
| ( shortest_path @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(57,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( shortest_path @ SX0 @ SX1 @ SX4 )
| ~ ( precedes @ SX2 @ SX3 @ SX4 ) )
| ~ ( ~ ~ ~ ! [SX5: $i] :
~ ~ ( ( ( tail_of @ SX5 )
!= ( tail_of @ SX2 ) )
| ( ( head_of @ SX5 )
!= ( head_of @ SX3 ) ) )
| ~ ~ ( precedes @ SX3 @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(58,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( shortest_path @ SX0 @ SX1 @ SX4 )
| ~ ( precedes @ SX2 @ SX3 @ SX4 ) )
| ~ ! [SX5: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SX5 )
| ( ( tail_of @ SX5 )
!= ( head_of @ SX3 ) ) )
| ( ( head_of @ SX5 )
!= ( tail_of @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(59,plain,
( ( ! [SX0: $i] :
( ~ ( edge @ SX0 )
| ~ ( ~ ( vertex @ ( head_of @ SX0 ) )
| ~ ( vertex @ ( tail_of @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(60,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( path @ SX0 @ SX1 @ SX2 )
| ~ ( on_path @ SX3 @ SX2 ) )
| ~ ( ~ ~ ( ~ ( edge @ SX3 )
| ~ ( in_path @ ( head_of @ SX3 ) @ SX2 ) )
| ~ ( in_path @ ( tail_of @ SX3 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(61,plain,
! [SV1: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( path @ SY48 @ SY49 @ SV1 )
| ! [SY50: $i,SY51: $i] :
( ~ ( precedes @ SY50 @ SY51 @ SV1 )
| ~ ( ~ ~ ( ~ ( on_path @ SY50 @ SV1 )
| ~ ( on_path @ SY51 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SY50 @ SY51 )
| ~ ! [SY52: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY52 )
| ~ ( precedes @ SY52 @ SY51 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY53 )
| ~ ( precedes @ SY53 @ SY51 @ SV1 ) )
| ( sequential @ SY50 @ SY51 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(62,plain,
( ( ( ~ complete ) = $true )
| ( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( vertex @ SX0 )
| ~ ( vertex @ SX1 ) )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( edge @ SX2 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SX0
!= ( head_of @ SX2 ) )
| ( SX1
!= ( tail_of @ SX2 ) ) )
| ~ ( ( SX1
!= ( head_of @ SX2 ) )
| ( SX0
!= ( tail_of @ SX2 ) ) ) )
| ~ ( ~ ~ ( ( SX1
!= ( head_of @ SX2 ) )
| ( SX0
!= ( tail_of @ SX2 ) ) )
| ~ ( ( SX0
!= ( head_of @ SX2 ) )
| ( SX1
!= ( tail_of @ SX2 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(63,plain,
! [SV2: $i] :
( ( ! [SY54: $i,SY55: $i] :
~ ( ~ ( ~ ( triangle @ SV2 @ SY54 @ SY55 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SY54 ) )
| ~ ( edge @ SY55 ) )
| ~ ( sequential @ SV2 @ SY54 ) )
| ~ ( sequential @ SY54 @ SY55 ) )
| ~ ( sequential @ SY55 @ SV2 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SY54 ) )
| ~ ( edge @ SY55 ) )
| ~ ( sequential @ SV2 @ SY54 ) )
| ~ ( sequential @ SY54 @ SY55 ) )
| ~ ( sequential @ SY55 @ SV2 ) )
| ( triangle @ SV2 @ SY54 @ SY55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(64,plain,
! [SV3: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ( path @ SY56 @ SY57 @ SV3 )
| ! [SY58: $i,SY59: $i] :
( ( precedes @ SY58 @ SY59 @ SV3 )
| ~ ~ ( ~ ~ ( ~ ( on_path @ SY58 @ SV3 )
| ~ ( on_path @ SY59 @ SV3 ) )
| ~ ( ( sequential @ SY58 @ SY59 )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( sequential @ SY58 @ SY60 )
| ~ ( precedes @ SY60 @ SY59 @ SV3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(65,plain,
! [SV4: $i] :
( ( ! [SY61: $i] :
~ ( ~ ( ~ ( sequential @ SV4 @ SY61 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SY61 ) )
| ~ ( ( SV4 != SY61 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SY61 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SY61 ) )
| ~ ( ( SV4 != SY61 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SY61 ) ) )
| ( sequential @ SV4 @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(66,plain,
! [SV5: $i] :
( ( ! [SY62: $i,SY63: $i,SY64: $i,SY65: $i] :
( ~ ~ ( ~ ( shortest_path @ SV5 @ SY62 @ SY65 )
| ~ ( precedes @ SY63 @ SY64 @ SY65 ) )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SX5 )
| ( ( tail_of @ SX5 )
!= ( tail_of @ SY63 ) ) )
| ( ( head_of @ SX5 )
!= ( head_of @ SY64 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(67,plain,
! [SV6: $i] :
( ( ~ ( edge @ SV6 )
| ( ( head_of @ SV6 )
!= ( tail_of @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(68,plain,
! [SV7: $i] :
( ( ! [SY67: $i,SY68: $i] :
~ ( ~ ( ~ ( shortest_path @ SV7 @ SY67 @ SY68 )
| ~ ( ~ ~ ( ~ ( path @ SV7 @ SY67 @ SY68 )
| ~ ( ( SV7 != SY67 ) ) )
| ~ ! [SY69: $i] :
( ~ ( path @ SV7 @ SY67 @ SY69 )
| ( less_or_equal @ ( length_of @ SY68 ) @ ( length_of @ SY69 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( path @ SV7 @ SY67 @ SY68 )
| ~ ( ( SV7 != SY67 ) ) )
| ~ ! [SY70: $i] :
( ~ ( path @ SV7 @ SY67 @ SY70 )
| ( less_or_equal @ ( length_of @ SY68 ) @ ( length_of @ SY70 ) ) ) )
| ( shortest_path @ SV7 @ SY67 @ SY68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(69,plain,
! [SV8: $i] :
( ( ! [SY71: $i,SY72: $i,SY73: $i,SY74: $i] :
( ~ ~ ( ~ ( shortest_path @ SV8 @ SY71 @ SY74 )
| ~ ( precedes @ SY72 @ SY73 @ SY74 ) )
| ~ ( ~ ~ ~ ! [SX5: $i] :
~ ~ ( ( ( tail_of @ SX5 )
!= ( tail_of @ SY72 ) )
| ( ( head_of @ SX5 )
!= ( head_of @ SY73 ) ) )
| ~ ~ ( precedes @ SY73 @ SY72 @ SY74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(70,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( shortest_path @ SX0 @ SX1 @ SX4 )
| ~ ( precedes @ SX2 @ SX3 @ SX4 ) )
| ~ ! [SX5: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SX5 )
| ( ( tail_of @ SX5 )
!= ( head_of @ SX3 ) ) )
| ( ( head_of @ SX5 )
!= ( tail_of @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(71,plain,
! [SV9: $i] :
( ( ~ ( edge @ SV9 )
| ~ ( ~ ( vertex @ ( head_of @ SV9 ) )
| ~ ( vertex @ ( tail_of @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(72,plain,
! [SV10: $i] :
( ( ! [SY76: $i,SY77: $i,SY78: $i] :
( ~ ~ ( ~ ( path @ SV10 @ SY76 @ SY77 )
| ~ ( on_path @ SY78 @ SY77 ) )
| ~ ( ~ ~ ( ~ ( edge @ SY78 )
| ~ ( in_path @ ( head_of @ SY78 ) @ SY77 ) )
| ~ ( in_path @ ( tail_of @ SY78 ) @ SY77 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(73,plain,
! [SV1: $i,SV11: $i] :
( ( ! [SY79: $i] :
( ~ ( path @ SV11 @ SY79 @ SV1 )
| ! [SY50: $i,SY51: $i] :
( ~ ( precedes @ SY50 @ SY51 @ SV1 )
| ~ ( ~ ~ ( ~ ( on_path @ SY50 @ SV1 )
| ~ ( on_path @ SY51 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SY50 @ SY51 )
| ~ ! [SY52: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY52 )
| ~ ( precedes @ SY52 @ SY51 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY53 )
| ~ ( precedes @ SY53 @ SY51 @ SV1 ) )
| ( sequential @ SY50 @ SY51 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(74,plain,
( ( complete = $false )
| ( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( vertex @ SX0 )
| ~ ( vertex @ SX1 ) )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( edge @ SX2 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SX0
!= ( head_of @ SX2 ) )
| ( SX1
!= ( tail_of @ SX2 ) ) )
| ~ ( ( SX1
!= ( head_of @ SX2 ) )
| ( SX0
!= ( tail_of @ SX2 ) ) ) )
| ~ ( ~ ~ ( ( SX1
!= ( head_of @ SX2 ) )
| ( SX0
!= ( tail_of @ SX2 ) ) )
| ~ ( ( SX0
!= ( head_of @ SX2 ) )
| ( SX1
!= ( tail_of @ SX2 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(75,plain,
! [SV12: $i,SV2: $i] :
( ( ! [SY84: $i] :
~ ( ~ ( ~ ( triangle @ SV2 @ SV12 @ SY84 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SY84 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SY84 ) )
| ~ ( sequential @ SY84 @ SV2 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SY84 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SY84 ) )
| ~ ( sequential @ SY84 @ SV2 ) )
| ( triangle @ SV2 @ SV12 @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(76,plain,
! [SV3: $i,SV13: $i] :
( ( ! [SY85: $i] :
( ~ ( path @ SV13 @ SY85 @ SV3 )
| ! [SY58: $i,SY59: $i] :
( ( precedes @ SY58 @ SY59 @ SV3 )
| ~ ~ ( ~ ~ ( ~ ( on_path @ SY58 @ SV3 )
| ~ ( on_path @ SY59 @ SV3 ) )
| ~ ( ( sequential @ SY58 @ SY59 )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( sequential @ SY58 @ SY60 )
| ~ ( precedes @ SY60 @ SY59 @ SV3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(77,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( sequential @ SV4 @ SV14 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) )
| ( sequential @ SV4 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(78,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY89: $i,SY90: $i,SY91: $i] :
( ~ ~ ( ~ ( shortest_path @ SV5 @ SV15 @ SY91 )
| ~ ( precedes @ SY89 @ SY90 @ SY91 ) )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SX5 )
| ( ( tail_of @ SX5 )
!= ( tail_of @ SY89 ) ) )
| ( ( head_of @ SX5 )
!= ( head_of @ SY90 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(79,plain,
! [SV6: $i] :
( ( ( ~ ( edge @ SV6 ) )
= $true )
| ( ( ( head_of @ SV6 )
!= ( tail_of @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(80,plain,
! [SV16: $i,SV7: $i] :
( ( ! [SY93: $i] :
~ ( ~ ( ~ ( shortest_path @ SV7 @ SV16 @ SY93 )
| ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SY93 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY94: $i] :
( ~ ( path @ SV7 @ SV16 @ SY94 )
| ( less_or_equal @ ( length_of @ SY93 ) @ ( length_of @ SY94 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SY93 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY95: $i] :
( ~ ( path @ SV7 @ SV16 @ SY95 )
| ( less_or_equal @ ( length_of @ SY93 ) @ ( length_of @ SY95 ) ) ) )
| ( shortest_path @ SV7 @ SV16 @ SY93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(81,plain,
! [SV17: $i,SV8: $i] :
( ( ! [SY96: $i,SY97: $i,SY98: $i] :
( ~ ~ ( ~ ( shortest_path @ SV8 @ SV17 @ SY98 )
| ~ ( precedes @ SY96 @ SY97 @ SY98 ) )
| ~ ( ~ ~ ~ ! [SX5: $i] :
~ ~ ( ( ( tail_of @ SX5 )
!= ( tail_of @ SY96 ) )
| ( ( head_of @ SX5 )
!= ( head_of @ SY97 ) ) )
| ~ ~ ( precedes @ SY97 @ SY96 @ SY98 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(82,plain,
( ( ! [SY100: $i,SY101: $i,SY102: $i,SY103: $i] :
( ~ ~ ( ~ ( shortest_path @ sK1_SX0 @ SY100 @ SY103 )
| ~ ( precedes @ SY101 @ SY102 @ SY103 ) )
| ~ ! [SX5: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SX5 )
| ( ( tail_of @ SX5 )
!= ( head_of @ SY102 ) ) )
| ( ( head_of @ SX5 )
!= ( tail_of @ SY101 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(83,plain,
! [SV9: $i] :
( ( ( ~ ( edge @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( vertex @ ( head_of @ SV9 ) )
| ~ ( vertex @ ( tail_of @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV18: $i,SV10: $i] :
( ( ! [SY105: $i,SY106: $i] :
( ~ ~ ( ~ ( path @ SV10 @ SV18 @ SY105 )
| ~ ( on_path @ SY106 @ SY105 ) )
| ~ ( ~ ~ ( ~ ( edge @ SY106 )
| ~ ( in_path @ ( head_of @ SY106 ) @ SY105 ) )
| ~ ( in_path @ ( tail_of @ SY106 ) @ SY105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(85,plain,
! [SV1: $i,SV19: $i,SV11: $i] :
( ( ~ ( path @ SV11 @ SV19 @ SV1 )
| ! [SY50: $i,SY51: $i] :
( ~ ( precedes @ SY50 @ SY51 @ SV1 )
| ~ ( ~ ~ ( ~ ( on_path @ SY50 @ SV1 )
| ~ ( on_path @ SY51 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SY50 @ SY51 )
| ~ ! [SY52: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY52 )
| ~ ( precedes @ SY52 @ SY51 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY53 )
| ~ ( precedes @ SY53 @ SY51 @ SV1 ) )
| ( sequential @ SY50 @ SY51 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV20: $i] :
( ( ( ! [SY111: $i] :
( ~ ~ ( ~ ~ ( ~ ( vertex @ SV20 )
| ~ ( vertex @ SY111 ) )
| ~ ( ( SV20 != SY111 ) ) )
| ~ ! [SY112: $i] :
~ ~ ( ~ ( edge @ SY112 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY112 ) )
| ( SY111
!= ( tail_of @ SY112 ) ) )
| ~ ( ( SY111
!= ( head_of @ SY112 ) )
| ( SV20
!= ( tail_of @ SY112 ) ) ) )
| ~ ( ~ ~ ( ( SY111
!= ( head_of @ SY112 ) )
| ( SV20
!= ( tail_of @ SY112 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY112 ) )
| ( SY111
!= ( tail_of @ SY112 ) ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ( triangle @ SV2 @ SV12 @ SV21 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) )
| ( triangle @ SV2 @ SV12 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV3: $i,SV22: $i,SV13: $i] :
( ( ~ ( path @ SV13 @ SV22 @ SV3 )
| ! [SY58: $i,SY59: $i] :
( ( precedes @ SY58 @ SY59 @ SV3 )
| ~ ~ ( ~ ~ ( ~ ( on_path @ SY58 @ SV3 )
| ~ ( on_path @ SY59 @ SV3 ) )
| ~ ( ( sequential @ SY58 @ SY59 )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( sequential @ SY58 @ SY60 )
| ~ ( precedes @ SY60 @ SY59 @ SV3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ( ~ ( sequential @ SV4 @ SV14 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) )
| ( sequential @ SV4 @ SV14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV23: $i,SV15: $i,SV5: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ~ ~ ( ~ ( shortest_path @ SV5 @ SV15 @ SY117 )
| ~ ( precedes @ SV23 @ SY116 @ SY117 ) )
| ~ ~ ! [SY118: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY118 )
| ( ( tail_of @ SY118 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY118 )
!= ( head_of @ SY116 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV6: $i] :
( ( ( edge @ SV6 )
= $false )
| ( ( ( head_of @ SV6 )
!= ( tail_of @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ~ ( ~ ( ~ ( shortest_path @ SV7 @ SV16 @ SV24 )
| ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
| ( shortest_path @ SV7 @ SV16 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV25: $i,SV17: $i,SV8: $i] :
( ( ! [SY121: $i,SY122: $i] :
( ~ ~ ( ~ ( shortest_path @ SV8 @ SV17 @ SY122 )
| ~ ( precedes @ SV25 @ SY121 @ SY122 ) )
| ~ ( ~ ~ ~ ! [SY123: $i] :
~ ~ ( ( ( tail_of @ SY123 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY123 )
!= ( head_of @ SY121 ) ) )
| ~ ~ ( precedes @ SY121 @ SV25 @ SY122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(94,plain,
( ( ! [SY124: $i,SY125: $i,SY126: $i] :
( ~ ~ ( ~ ( shortest_path @ sK1_SX0 @ sK2_SY100 @ SY126 )
| ~ ( precedes @ SY124 @ SY125 @ SY126 ) )
| ~ ! [SX5: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SX5 )
| ( ( tail_of @ SX5 )
!= ( head_of @ SY125 ) ) )
| ( ( head_of @ SX5 )
!= ( tail_of @ SY124 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[82]) ).
thf(95,plain,
! [SV9: $i] :
( ( ( edge @ SV9 )
= $false )
| ( ( ~ ( ~ ( vertex @ ( head_of @ SV9 ) )
| ~ ( vertex @ ( tail_of @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV26: $i,SV18: $i,SV10: $i] :
( ( ! [SY128: $i] :
( ~ ~ ( ~ ( path @ SV10 @ SV18 @ SV26 )
| ~ ( on_path @ SY128 @ SV26 ) )
| ~ ( ~ ~ ( ~ ( edge @ SY128 )
| ~ ( in_path @ ( head_of @ SY128 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SY128 ) @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV1: $i,SV19: $i,SV11: $i] :
( ( ( ~ ( path @ SV11 @ SV19 @ SV1 ) )
= $true )
| ( ( ! [SY50: $i,SY51: $i] :
( ~ ( precedes @ SY50 @ SY51 @ SV1 )
| ~ ( ~ ~ ( ~ ( on_path @ SY50 @ SV1 )
| ~ ( on_path @ SY51 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SY50 @ SY51 )
| ~ ! [SY52: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY52 )
| ~ ( precedes @ SY52 @ SY51 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY53 )
| ~ ( precedes @ SY53 @ SY51 @ SV1 ) )
| ( sequential @ SY50 @ SY51 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( vertex @ SV20 )
| ~ ( vertex @ SV27 ) )
| ~ ( ( SV20 != SV27 ) ) )
| ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ~ ( ~ ( triangle @ SV2 @ SV12 @ SV21 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) )
| ( triangle @ SV2 @ SV12 @ SV21 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV3: $i,SV22: $i,SV13: $i] :
( ( ( ~ ( path @ SV13 @ SV22 @ SV3 ) )
= $true )
| ( ( ! [SY58: $i,SY59: $i] :
( ( precedes @ SY58 @ SY59 @ SV3 )
| ~ ~ ( ~ ~ ( ~ ( on_path @ SY58 @ SV3 )
| ~ ( on_path @ SY59 @ SV3 ) )
| ~ ( ( sequential @ SY58 @ SY59 )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( sequential @ SY58 @ SY60 )
| ~ ( precedes @ SY60 @ SY59 @ SV3 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ( ~ ( sequential @ SV4 @ SV14 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(102,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) )
| ( sequential @ SV4 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(103,plain,
! [SV28: $i,SV23: $i,SV15: $i,SV5: $i] :
( ( ! [SY130: $i] :
( ~ ~ ( ~ ( shortest_path @ SV5 @ SV15 @ SY130 )
| ~ ( precedes @ SV23 @ SV28 @ SY130 ) )
| ~ ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV6: $i] :
( ( ( ( head_of @ SV6 )
= ( tail_of @ SV6 ) )
= $false )
| ( ( edge @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(105,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ~ ( ~ ( shortest_path @ SV7 @ SV16 @ SV24 )
| ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
| ( shortest_path @ SV7 @ SV16 @ SV24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(106,plain,
! [SV29: $i,SV25: $i,SV17: $i,SV8: $i] :
( ( ! [SY132: $i] :
( ~ ~ ( ~ ( shortest_path @ SV8 @ SV17 @ SY132 )
| ~ ( precedes @ SV25 @ SV29 @ SY132 ) )
| ~ ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SY132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(107,plain,
( ( ! [SY134: $i,SY135: $i] :
( ~ ~ ( ~ ( shortest_path @ sK1_SX0 @ sK2_SY100 @ SY135 )
| ~ ( precedes @ sK3_SY124 @ SY134 @ SY135 ) )
| ~ ! [SY136: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY136 )
| ( ( tail_of @ SY136 )
!= ( head_of @ SY134 ) ) )
| ( ( head_of @ SY136 )
!= ( tail_of @ sK3_SY124 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[94]) ).
thf(108,plain,
! [SV9: $i] :
( ( ( ~ ( vertex @ ( head_of @ SV9 ) )
| ~ ( vertex @ ( tail_of @ SV9 ) ) )
= $false )
| ( ( edge @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(109,plain,
! [SV30: $i,SV26: $i,SV18: $i,SV10: $i] :
( ( ~ ~ ( ~ ( path @ SV10 @ SV18 @ SV26 )
| ~ ( on_path @ SV30 @ SV26 ) )
| ~ ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(110,plain,
! [SV1: $i,SV19: $i,SV11: $i] :
( ( ( path @ SV11 @ SV19 @ SV1 )
= $false )
| ( ( ! [SY50: $i,SY51: $i] :
( ~ ( precedes @ SY50 @ SY51 @ SV1 )
| ~ ( ~ ~ ( ~ ( on_path @ SY50 @ SV1 )
| ~ ( on_path @ SY51 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SY50 @ SY51 )
| ~ ! [SY52: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY52 )
| ~ ( precedes @ SY52 @ SY51 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( sequential @ SY50 @ SY53 )
| ~ ( precedes @ SY53 @ SY51 @ SV1 ) )
| ( sequential @ SY50 @ SY51 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( vertex @ SV20 )
| ~ ( vertex @ SV27 ) )
| ~ ( ( SV20 != SV27 ) ) ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ~ ( ~ ( triangle @ SV2 @ SV12 @ SV21 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(113,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) )
| ( triangle @ SV2 @ SV12 @ SV21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(114,plain,
! [SV3: $i,SV22: $i,SV13: $i] :
( ( ( path @ SV13 @ SV22 @ SV3 )
= $false )
| ( ( ! [SY58: $i,SY59: $i] :
( ( precedes @ SY58 @ SY59 @ SV3 )
| ~ ~ ( ~ ~ ( ~ ( on_path @ SY58 @ SV3 )
| ~ ( on_path @ SY59 @ SV3 ) )
| ~ ( ( sequential @ SY58 @ SY59 )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( sequential @ SY58 @ SY60 )
| ~ ( precedes @ SY60 @ SY59 @ SV3 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ( sequential @ SV4 @ SV14 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(116,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) )
| ( sequential @ SV4 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(117,plain,
! [SV28: $i,SV23: $i,SV31: $i,SV15: $i,SV5: $i] :
( ( ~ ~ ( ~ ( shortest_path @ SV5 @ SV15 @ SV31 )
| ~ ( precedes @ SV23 @ SV28 @ SV31 ) )
| ~ ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ~ ( ~ ( shortest_path @ SV7 @ SV16 @ SV24 )
| ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(119,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
| ( shortest_path @ SV7 @ SV16 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(120,plain,
! [SV29: $i,SV25: $i,SV32: $i,SV17: $i,SV8: $i] :
( ( ~ ~ ( ~ ( shortest_path @ SV8 @ SV17 @ SV32 )
| ~ ( precedes @ SV25 @ SV29 @ SV32 ) )
| ~ ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(121,plain,
( ( ! [SY139: $i] :
( ~ ~ ( ~ ( shortest_path @ sK1_SX0 @ sK2_SY100 @ SY139 )
| ~ ( precedes @ sK3_SY124 @ sK4_SY134 @ SY139 ) )
| ~ ! [SY140: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY140 )
| ( ( tail_of @ SY140 )
!= ( head_of @ sK4_SY134 ) ) )
| ( ( head_of @ SY140 )
!= ( tail_of @ sK3_SY124 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(122,plain,
! [SV9: $i] :
( ( ( ~ ( vertex @ ( head_of @ SV9 ) ) )
= $false )
| ( ( edge @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(123,plain,
! [SV9: $i] :
( ( ( ~ ( vertex @ ( tail_of @ SV9 ) ) )
= $false )
| ( ( edge @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(124,plain,
! [SV30: $i,SV26: $i,SV18: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( path @ SV10 @ SV18 @ SV26 )
| ~ ( on_path @ SV30 @ SV26 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(125,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV33: $i] :
( ( ( ! [SY141: $i] :
( ~ ( precedes @ SV33 @ SY141 @ SV1 )
| ~ ( ~ ~ ( ~ ( on_path @ SV33 @ SV1 )
| ~ ( on_path @ SY141 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SV33 @ SY141 )
| ~ ! [SY142: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY142 )
| ~ ( precedes @ SY142 @ SY141 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY143: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY143 )
| ~ ( precedes @ SY143 @ SY141 @ SV1 ) )
| ( sequential @ SV33 @ SY141 ) ) ) ) ) )
= $true )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(126,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ( vertex @ SV20 )
| ~ ( vertex @ SV27 ) )
| ~ ( ( SV20 != SV27 ) ) ) )
= $false )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(127,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ~ ( triangle @ SV2 @ SV12 @ SV21 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(128,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) )
| ( triangle @ SV2 @ SV12 @ SV21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(129,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV34: $i] :
( ( ( ! [SY144: $i] :
( ( precedes @ SV34 @ SY144 @ SV3 )
| ~ ~ ( ~ ~ ( ~ ( on_path @ SV34 @ SV3 )
| ~ ( on_path @ SY144 @ SV3 ) )
| ~ ( ( sequential @ SV34 @ SY144 )
| ~ ! [SY145: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY145 )
| ~ ( precedes @ SY145 @ SY144 @ SV3 ) ) ) ) ) )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(130,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( sequential @ SV4 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(131,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(132,plain,
! [SV28: $i,SV23: $i,SV31: $i,SV15: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( shortest_path @ SV5 @ SV15 @ SV31 )
| ~ ( precedes @ SV23 @ SV28 @ SV31 ) ) )
= $true )
| ( ( ~ ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(133,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ~ ( shortest_path @ SV7 @ SV16 @ SV24 )
| ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(134,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
| ( shortest_path @ SV7 @ SV16 @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(135,plain,
! [SV29: $i,SV25: $i,SV32: $i,SV17: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( shortest_path @ SV8 @ SV17 @ SV32 )
| ~ ( precedes @ SV25 @ SV29 @ SV32 ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(136,plain,
( ( ~ ~ ( ~ ( shortest_path @ sK1_SX0 @ sK2_SY100 @ sK5_SY139 )
| ~ ( precedes @ sK3_SY124 @ sK4_SY134 @ sK5_SY139 ) )
| ~ ! [SY140: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY140 )
| ( ( tail_of @ SY140 )
!= ( head_of @ sK4_SY134 ) ) )
| ( ( head_of @ SY140 )
!= ( tail_of @ sK3_SY124 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[121]) ).
thf(137,plain,
! [SV9: $i] :
( ( ( vertex @ ( head_of @ SV9 ) )
= $true )
| ( ( edge @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(138,plain,
! [SV9: $i] :
( ( ( vertex @ ( tail_of @ SV9 ) )
= $true )
| ( ( edge @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(139,plain,
! [SV30: $i,SV26: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( ~ ( path @ SV10 @ SV18 @ SV26 )
| ~ ( on_path @ SV30 @ SV26 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( precedes @ SV33 @ SV35 @ SV1 )
| ~ ( ~ ~ ( ~ ( on_path @ SV33 @ SV1 )
| ~ ( on_path @ SV35 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) ) ) )
= $true )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( vertex @ SV20 )
| ~ ( vertex @ SV27 ) )
| ~ ( ( SV20 != SV27 ) ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(142,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( triangle @ SV2 @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(143,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(144,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV34: $i] :
( ( ( ( precedes @ SV34 @ SV36 @ SV3 )
| ~ ~ ( ~ ~ ( ~ ( on_path @ SV34 @ SV3 )
| ~ ( on_path @ SV36 @ SV3 ) )
| ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) ) )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV14: $i,SV4: $i] :
( ( ( sequential @ SV4 @ SV14 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(147,plain,
! [SV28: $i,SV23: $i,SV31: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( ~ ( shortest_path @ SV5 @ SV15 @ SV31 )
| ~ ( precedes @ SV23 @ SV28 @ SV31 ) ) )
= $false )
| ( ( ~ ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(148,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( shortest_path @ SV7 @ SV16 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(149,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(150,plain,
! [SV29: $i,SV25: $i,SV32: $i,SV17: $i,SV8: $i] :
( ( ( ~ ( ~ ( shortest_path @ SV8 @ SV17 @ SV32 )
| ~ ( precedes @ SV25 @ SV29 @ SV32 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(151,plain,
( ( ~ ~ ( ~ ( shortest_path @ sK1_SX0 @ sK2_SY100 @ sK5_SY139 )
| ~ ( precedes @ sK3_SY124 @ sK4_SY134 @ sK5_SY139 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(152,plain,
( ( ~ ! [SY140: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY140 )
| ( ( tail_of @ SY140 )
!= ( head_of @ sK4_SY134 ) ) )
| ( ( head_of @ SY140 )
!= ( tail_of @ sK3_SY124 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(153,plain,
! [SV30: $i,SV26: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( path @ SV10 @ SV18 @ SV26 )
| ~ ( on_path @ SV30 @ SV26 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(154,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( precedes @ SV33 @ SV35 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( on_path @ SV33 @ SV1 )
| ~ ( on_path @ SV35 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) ) ) )
= $true )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(155,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( vertex @ SV20 )
| ~ ( vertex @ SV27 ) ) )
= $true )
| ( ( ~ ( ( SV20 != SV27 ) ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(156,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(157,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(158,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV34: $i] :
( ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( on_path @ SV34 @ SV3 )
| ~ ( on_path @ SV36 @ SV3 ) )
| ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) ) )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(159,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(160,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
| ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(161,plain,
! [SV28: $i,SV23: $i,SV31: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( shortest_path @ SV5 @ SV15 @ SV31 )
| ~ ( precedes @ SV23 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(162,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(163,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) ) )
= $false )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(164,plain,
! [SV29: $i,SV25: $i,SV32: $i,SV17: $i,SV8: $i] :
( ( ( ~ ( shortest_path @ SV8 @ SV17 @ SV32 )
| ~ ( precedes @ SV25 @ SV29 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(165,plain,
( ( ~ ( ~ ( shortest_path @ sK1_SX0 @ sK2_SY100 @ sK5_SY139 )
| ~ ( precedes @ sK3_SY124 @ sK4_SY134 @ sK5_SY139 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(166,plain,
( ( ! [SY140: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY140 )
| ( ( tail_of @ SY140 )
!= ( head_of @ sK4_SY134 ) ) )
| ( ( head_of @ SY140 )
!= ( tail_of @ sK3_SY124 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(167,plain,
! [SV30: $i,SV26: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( path @ SV10 @ SV18 @ SV26 ) )
= $true )
| ( ( ~ ( on_path @ SV30 @ SV26 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(168,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( on_path @ SV33 @ SV1 )
| ~ ( on_path @ SV35 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) ) ) )
= $true )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(169,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ~ ( vertex @ SV20 )
| ~ ( vertex @ SV27 ) ) )
= $false )
| ( ( ~ ( ( SV20 != SV27 ) ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(170,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(171,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
| ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(172,plain,
! [SV22: $i,SV13: $i,SV36: $i,SV3: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( on_path @ SV34 @ SV3 )
| ~ ( on_path @ SV36 @ SV3 ) )
| ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) ) )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(173,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(174,plain,
! [SV14: $i,SV4: $i] :
( ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(175,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) ) )
= $true )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(176,plain,
! [SV28: $i,SV23: $i,SV31: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( shortest_path @ SV5 @ SV15 @ SV31 ) )
= $true )
| ( ( ~ ( precedes @ SV23 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(177,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) )
= $false )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(178,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
| ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(179,plain,
! [SV29: $i,SV25: $i,SV32: $i,SV17: $i,SV8: $i] :
( ( ( ~ ( shortest_path @ SV8 @ SV17 @ SV32 ) )
= $true )
| ( ( ~ ( precedes @ SV25 @ SV29 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(180,plain,
( ( ~ ( shortest_path @ sK1_SX0 @ sK2_SY100 @ sK5_SY139 )
| ~ ( precedes @ sK3_SY124 @ sK4_SY134 @ sK5_SY139 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(181,plain,
! [SV37: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV37 )
| ( ( tail_of @ SV37 )
!= ( head_of @ sK4_SY134 ) ) )
| ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(182,plain,
! [SV30: $i,SV26: $i,SV18: $i,SV10: $i] :
( ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( ~ ( on_path @ SV30 @ SV26 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(183,plain,
! [SV19: $i,SV11: $i,SV35: $i,SV1: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( on_path @ SV33 @ SV1 )
| ~ ( on_path @ SV35 @ SV1 ) )
| ~ ~ ~ ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) ) )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(184,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( vertex @ SV20 )
| ~ ( vertex @ SV27 ) )
= $true )
| ( ( ~ ( ( SV20 != SV27 ) ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(185,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(186,plain,
! [SV12: $i,SV2: $i,SV21: $i] :
( ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(187,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(188,plain,
! [SV22: $i,SV13: $i,SV36: $i,SV3: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( on_path @ SV34 @ SV3 )
| ~ ( on_path @ SV36 @ SV3 ) )
| ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) )
= $true )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(189,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(190,plain,
! [SV14: $i,SV4: $i] :
( ( ( ( head_of @ SV4 )
= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(191,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) ) )
= $false )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(192,plain,
! [SV28: $i,SV23: $i,SV31: $i,SV15: $i,SV5: $i] :
( ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( ~ ( precedes @ SV23 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(193,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) ) )
= $false )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(194,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) )
= $false )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(195,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) ) )
= $true )
| ( ( ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(196,plain,
! [SV29: $i,SV25: $i,SV32: $i,SV17: $i,SV8: $i] :
( ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( ~ ( precedes @ SV25 @ SV29 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(197,plain,
( ( ~ ( shortest_path @ sK1_SX0 @ sK2_SY100 @ sK5_SY139 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(198,plain,
( ( ~ ( precedes @ sK3_SY124 @ sK4_SY134 @ sK5_SY139 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(199,plain,
! [SV37: $i] :
( ( ~ ( ~ ~ ( ~ ( edge @ SV37 )
| ( ( tail_of @ SV37 )
!= ( head_of @ sK4_SY134 ) ) )
| ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(200,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( on_path @ SV30 @ SV26 )
= $false )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(201,plain,
! [SV19: $i,SV11: $i,SV35: $i,SV1: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( on_path @ SV33 @ SV1 )
| ~ ( on_path @ SV35 @ SV1 ) ) )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(202,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ~ ~ ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) ) )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(203,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( vertex @ SV20 ) )
= $true )
| ( ( ~ ( vertex @ SV27 ) )
= $true )
| ( ( ~ ( ( SV20 != SV27 ) ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(204,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(205,plain,
! [SV12: $i,SV2: $i,SV21: $i] :
( ( ( sequential @ SV21 @ SV2 )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(206,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) ) )
= $false )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(207,plain,
! [SV22: $i,SV13: $i,SV36: $i,SV3: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( on_path @ SV34 @ SV3 )
| ~ ( on_path @ SV36 @ SV3 ) ) )
= $true )
| ( ( ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) )
= $true )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(208,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(209,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
| ~ ( ( SV4 != SV14 ) ) )
= $true )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(210,plain,
! [SV15: $i,SV5: $i,SV31: $i,SV28: $i,SV23: $i] :
( ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( ~ ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(211,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(212,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ! [SY119: $i] :
( ~ ( path @ SV7 @ SV16 @ SY119 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY119 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(213,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) ) )
= $false )
| ( ( ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV17: $i,SV8: $i,SV32: $i,SV29: $i,SV25: $i] :
( ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(215,plain,
( ( shortest_path @ sK1_SX0 @ sK2_SY100 @ sK5_SY139 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(216,plain,
( ( precedes @ sK3_SY124 @ sK4_SY134 @ sK5_SY139 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(217,plain,
! [SV37: $i] :
( ( ~ ~ ( ~ ( edge @ SV37 )
| ( ( tail_of @ SV37 )
!= ( head_of @ sK4_SY134 ) ) )
| ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(218,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
| ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) )
= $false )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(219,plain,
! [SV19: $i,SV11: $i,SV35: $i,SV1: $i,SV33: $i] :
( ( ( ~ ( ~ ( on_path @ SV33 @ SV1 )
| ~ ( on_path @ SV35 @ SV1 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(220,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(221,plain,
! [SV27: $i,SV20: $i] :
( ( ( vertex @ SV20 )
= $false )
| ( ( ~ ( vertex @ SV27 ) )
= $true )
| ( ( ~ ( ( SV20 != SV27 ) ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(222,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(223,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
| ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(224,plain,
! [SV22: $i,SV13: $i,SV36: $i,SV3: $i,SV34: $i] :
( ( ( ~ ( ~ ( on_path @ SV34 @ SV3 )
| ~ ( on_path @ SV36 @ SV3 ) ) )
= $false )
| ( ( ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) )
= $true )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(225,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(226,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != SV14 ) ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(227,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) ) )
= $true )
| ( ( ~ ( ( SV4 != SV14 ) ) )
= $true )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(228,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i] :
( ( ( ~ ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $false )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(229,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
= $false )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(230,plain,
! [SV24: $i,SV38: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( path @ SV7 @ SV16 @ SV38 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SV38 ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(231,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( path @ SV7 @ SV16 @ SV24 )
| ~ ( ( SV7 != SV16 ) ) )
= $true )
| ( ( ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(232,plain,
! [SV17: $i,SV8: $i,SV32: $i,SV29: $i,SV25: $i] :
( ( ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) )
| ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) )
= $false )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(233,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV37 )
| ( ( tail_of @ SV37 )
!= ( head_of @ sK4_SY134 ) ) ) )
= $true )
| ( ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(234,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) ) )
= $false )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(235,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( ~ ( in_path @ ( tail_of @ SV30 ) @ SV26 ) )
= $false )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(236,plain,
! [SV19: $i,SV11: $i,SV35: $i,SV1: $i,SV33: $i] :
( ( ( ~ ( on_path @ SV33 @ SV1 )
| ~ ( on_path @ SV35 @ SV1 ) )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(237,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) ) )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(238,plain,
! [SV20: $i,SV27: $i] :
( ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( ~ ( ( SV20 != SV27 ) ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(239,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(240,plain,
! [SV2: $i,SV21: $i,SV12: $i] :
( ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(241,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(242,plain,
! [SV22: $i,SV13: $i,SV36: $i,SV3: $i,SV34: $i] :
( ( ( ~ ( on_path @ SV34 @ SV3 )
| ~ ( on_path @ SV36 @ SV3 ) )
= $true )
| ( ( ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) )
= $true )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(243,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(244,plain,
! [SV14: $i,SV4: $i] :
( ( ( SV4 != SV14 )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(245,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) ) )
= $false )
| ( ( ~ ( ( SV4 != SV14 ) ) )
= $true )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(246,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i] :
( ( ( ! [SY131: $i] :
~ ~ ( ~ ~ ( ~ ( edge @ SY131 )
| ( ( tail_of @ SY131 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SY131 )
!= ( head_of @ SV28 ) ) ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(247,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( path @ SV7 @ SV16 @ SV24 ) )
= $false )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(248,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != SV16 ) ) )
= $false )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(249,plain,
! [SV24: $i,SV38: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( path @ SV7 @ SV16 @ SV38 ) )
= $true )
| ( ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SV38 ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(250,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( path @ SV7 @ SV16 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV7 != SV16 ) ) )
= $true )
| ( ( ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(251,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i] :
( ( ( ~ ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) ) )
= $false )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(252,plain,
! [SV17: $i,SV8: $i,SV32: $i,SV25: $i,SV29: $i] :
( ( ( ~ ~ ( precedes @ SV29 @ SV25 @ SV32 ) )
= $false )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(253,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( edge @ SV37 )
| ( ( tail_of @ SV37 )
!= ( head_of @ sK4_SY134 ) ) ) )
= $false )
| ( ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(254,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( ~ ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) ) )
= $true )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(255,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( in_path @ ( tail_of @ SV30 ) @ SV26 )
= $true )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(256,plain,
! [SV19: $i,SV11: $i,SV35: $i,SV1: $i,SV33: $i] :
( ( ( ~ ( on_path @ SV33 @ SV1 ) )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(257,plain,
! [SV19: $i,SV11: $i,SV33: $i,SV1: $i,SV35: $i] :
( ( ( ~ ( on_path @ SV35 @ SV1 ) )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(258,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
| ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(259,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20 != SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(260,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(261,plain,
! [SV2: $i,SV21: $i,SV12: $i] :
( ( ( sequential @ SV12 @ SV21 )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(262,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) ) )
= $false )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(263,plain,
! [SV22: $i,SV13: $i,SV36: $i,SV3: $i,SV34: $i] :
( ( ( ~ ( on_path @ SV34 @ SV3 ) )
= $true )
| ( ( ~ ( on_path @ SV36 @ SV3 ) )
= $true )
| ( ( ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) )
= $true )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(264,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(265,plain,
! [SV14: $i,SV4: $i] :
( ( ( SV4 = SV14 )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(266,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( edge @ SV4 )
| ~ ( edge @ SV14 ) )
= $true )
| ( ( ~ ( ( SV4 != SV14 ) ) )
= $true )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(267,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV39 )
| ( ( tail_of @ SV39 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) ) ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(268,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( path @ SV7 @ SV16 @ SV24 )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(269,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( SV7 != SV16 )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(270,plain,
! [SV24: $i,SV38: $i,SV16: $i,SV7: $i] :
( ( ( path @ SV7 @ SV16 @ SV38 )
= $false )
| ( ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SV38 ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(271,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( ~ ( ( SV7 != SV16 ) ) )
= $true )
| ( ( ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(272,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i] :
( ( ( ~ ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) ) )
= $true )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(273,plain,
! [SV17: $i,SV8: $i,SV32: $i,SV25: $i,SV29: $i] :
( ( ( ~ ( precedes @ SV29 @ SV25 @ SV32 ) )
= $true )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(274,plain,
! [SV37: $i] :
( ( ( ~ ( edge @ SV37 )
| ( ( tail_of @ SV37 )
!= ( head_of @ sK4_SY134 ) ) )
= $true )
| ( ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(275,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( ~ ( edge @ SV30 )
| ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
= $false )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(276,plain,
! [SV19: $i,SV11: $i,SV35: $i,SV1: $i,SV33: $i] :
( ( ( on_path @ SV33 @ SV1 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(277,plain,
! [SV19: $i,SV11: $i,SV33: $i,SV1: $i,SV35: $i] :
( ( ( on_path @ SV35 @ SV1 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(278,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(279,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20 = SV27 )
= $true )
| ( ( vertex @ SV20 )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(280,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(281,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
| ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(282,plain,
! [SV22: $i,SV13: $i,SV36: $i,SV3: $i,SV34: $i] :
( ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( ~ ( on_path @ SV36 @ SV3 ) )
= $true )
| ( ( ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) )
= $true )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(283,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( edge @ SV4 ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(284,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ( edge @ SV14 ) )
= $false )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(285,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( edge @ SV4 ) )
= $true )
| ( ( ~ ( edge @ SV14 ) )
= $true )
| ( ( ~ ( ( SV4 != SV14 ) ) )
= $true )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(286,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ( edge @ SV39 )
| ( ( tail_of @ SV39 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) ) ) )
= $false )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(287,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( SV7 = SV16 )
= $false )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(288,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( SV7 != SV16 )
= $false )
| ( ( path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(289,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i] :
( ( ( ~ ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) ) )
= $false )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(290,plain,
! [SV17: $i,SV8: $i,SV32: $i,SV25: $i,SV29: $i] :
( ( ( precedes @ SV29 @ SV25 @ SV32 )
= $false )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(291,plain,
! [SV37: $i] :
( ( ( ~ ( edge @ SV37 ) )
= $true )
| ( ( ( tail_of @ SV37 )
!= ( head_of @ sK4_SY134 ) )
= $true )
| ( ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(292,plain,
! [SV26: $i,SV18: $i,SV10: $i,SV30: $i] :
( ( ( ~ ( edge @ SV30 ) )
= $false )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(293,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( ~ ( in_path @ ( head_of @ SV30 ) @ SV26 ) )
= $false )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(294,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( sequential @ SV33 @ SV35 )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(295,plain,
! [SV27: $i,SV20: $i] :
( ( ( ! [SY129: $i] :
~ ~ ( ~ ( edge @ SY129 )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ SY129 ) )
| ( SV20
!= ( tail_of @ SY129 ) ) )
| ~ ( ( SV20
!= ( head_of @ SY129 ) )
| ( SV27
!= ( tail_of @ SY129 ) ) ) ) ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(296,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(297,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(298,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) ) )
= $true )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(299,plain,
! [SV22: $i,SV13: $i,SV34: $i,SV3: $i,SV36: $i] :
( ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( ~ ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) ) )
= $true )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(300,plain,
! [SV14: $i,SV4: $i] :
( ( ( edge @ SV4 )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(301,plain,
! [SV4: $i,SV14: $i] :
( ( ( edge @ SV14 )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(302,plain,
! [SV14: $i,SV4: $i] :
( ( ( edge @ SV4 )
= $false )
| ( ( ~ ( edge @ SV14 ) )
= $true )
| ( ( ~ ( ( SV4 != SV14 ) ) )
= $true )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(303,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV39 )
| ( ( tail_of @ SV39 )
!= ( tail_of @ SV23 ) ) )
| ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(304,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( SV7 = SV16 )
= $true )
| ( ( path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( ~ ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(305,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i] :
( ( ( ! [SY133: $i] :
~ ~ ( ( ( tail_of @ SY133 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SY133 )
!= ( head_of @ SV29 ) ) ) )
= $true )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(306,plain,
! [SV37: $i] :
( ( ( edge @ SV37 )
= $false )
| ( ( ( tail_of @ SV37 )
!= ( head_of @ sK4_SY134 ) )
= $true )
| ( ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(307,plain,
! [SV26: $i,SV18: $i,SV10: $i,SV30: $i] :
( ( ( edge @ SV30 )
= $true )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(308,plain,
! [SV18: $i,SV10: $i,SV26: $i,SV30: $i] :
( ( ( in_path @ ( head_of @ SV30 ) @ SV26 )
= $true )
| ( ( path @ SV10 @ SV18 @ SV26 )
= $false )
| ( ( on_path @ SV30 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(309,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( sequential @ SV33 @ SV35 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(310,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(311,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( edge @ ( sK6_SY129 @ SV27 @ SV20 ) )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[295]) ).
thf(312,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(313,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( sequential @ SV2 @ SV12 )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(314,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) ) )
= $false )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(315,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV34: $i] :
( ( ( ( sequential @ SV34 @ SV36 )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) )
= $false )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(316,plain,
! [SV4: $i,SV14: $i] :
( ( ( edge @ SV14 )
= $false )
| ( ( edge @ SV4 )
= $false )
| ( ( ~ ( ( SV4 != SV14 ) ) )
= $true )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(317,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV39 )
| ( ( tail_of @ SV39 )
!= ( tail_of @ SV23 ) ) ) )
= $true )
| ( ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(318,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ! [SY120: $i] :
( ~ ( path @ SV7 @ SV16 @ SY120 )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ SY120 ) ) ) )
= $false )
| ( ( path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( SV7 = SV16 )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(319,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i,SV40: $i] :
( ( ( ~ ~ ( ( ( tail_of @ SV40 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SV40 )
!= ( head_of @ SV29 ) ) ) )
= $true )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(320,plain,
! [SV37: $i] :
( ( ( ( tail_of @ SV37 )
= ( head_of @ sK4_SY134 ) )
= $false )
| ( ( edge @ SV37 )
= $false )
| ( ( ( head_of @ SV37 )
!= ( tail_of @ sK3_SY124 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(321,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(322,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ! [SY147: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY147 )
| ~ ( precedes @ SY147 @ SV35 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(323,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ( ~ ( edge @ ( sK6_SY129 @ SV27 @ SV20 ) )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(324,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(325,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
| ~ ( edge @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(326,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV34: $i] :
( ( ( sequential @ SV34 @ SV36 )
= $false )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(327,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV34: $i] :
( ( ( ~ ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) )
= $false )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(328,plain,
! [SV14: $i,SV4: $i] :
( ( ( SV4 != SV14 )
= $false )
| ( ( edge @ SV4 )
= $false )
| ( ( edge @ SV14 )
= $false )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(329,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( ~ ( ~ ( edge @ SV39 )
| ( ( tail_of @ SV39 )
!= ( tail_of @ SV23 ) ) ) )
= $false )
| ( ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(330,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( path @ SV7 @ SV16 @ ( sK7_SY120 @ SV24 @ SV16 @ SV7 ) )
| ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ ( sK7_SY120 @ SV24 @ SV16 @ SV7 ) ) ) )
= $false )
| ( ( path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( SV7 = SV16 )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[318]) ).
thf(331,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i,SV40: $i] :
( ( ( ~ ( ( ( tail_of @ SV40 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SV40 )
!= ( head_of @ SV29 ) ) ) )
= $false )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(332,plain,
! [SV37: $i] :
( ( ( ( head_of @ SV37 )
= ( tail_of @ sK3_SY124 ) )
= $false )
| ( ( edge @ SV37 )
= $false )
| ( ( ( tail_of @ SV37 )
= ( head_of @ sK4_SY134 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(333,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) )
= $false )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(334,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV41: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( sequential @ SV33 @ SV41 )
| ~ ( precedes @ SV41 @ SV35 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(335,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ( edge @ ( sK6_SY129 @ SV27 @ SV20 ) )
| ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(336,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(337,plain,
! [SV12: $i,SV2: $i,SV21: $i] :
( ( ( ~ ( edge @ SV21 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(338,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) ) )
= $true )
| ( ( ~ ( edge @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(339,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV34: $i] :
( ( ( ! [SY149: $i] :
~ ~ ( ~ ( sequential @ SV34 @ SY149 )
| ~ ( precedes @ SY149 @ SV36 @ SV3 ) ) )
= $true )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(340,plain,
! [SV14: $i,SV4: $i] :
( ( ( SV4 = SV14 )
= $true )
| ( ( edge @ SV4 )
= $false )
| ( ( edge @ SV14 )
= $false )
| ( ( ( head_of @ SV4 )
!= ( tail_of @ SV14 ) )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(341,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( ~ ( edge @ SV39 )
| ( ( tail_of @ SV39 )
!= ( tail_of @ SV23 ) ) )
= $true )
| ( ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(342,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( path @ SV7 @ SV16 @ ( sK7_SY120 @ SV24 @ SV16 @ SV7 ) ) )
= $false )
| ( ( path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( SV7 = SV16 )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(343,plain,
! [SV7: $i,SV16: $i,SV24: $i] :
( ( ( less_or_equal @ ( length_of @ SV24 ) @ ( length_of @ ( sK7_SY120 @ SV24 @ SV16 @ SV7 ) ) )
= $false )
| ( ( path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( SV7 = SV16 )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(344,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i,SV40: $i] :
( ( ( ( ( tail_of @ SV40 )
!= ( tail_of @ SV25 ) )
| ( ( head_of @ SV40 )
!= ( head_of @ SV29 ) ) )
= $true )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(345,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) ) )
= $false )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(346,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( sequential @ SV33 @ SV35 )
= $false )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(347,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV41: $i,SV33: $i] :
( ( ( ~ ( ~ ( sequential @ SV33 @ SV41 )
| ~ ( precedes @ SV41 @ SV35 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(348,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ( edge @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(349,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(350,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(351,plain,
! [SV12: $i,SV2: $i,SV21: $i] :
( ( ( edge @ SV21 )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(352,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) ) )
= $false )
| ( ( ~ ( edge @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(353,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV42: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( sequential @ SV34 @ SV42 )
| ~ ( precedes @ SV42 @ SV36 @ SV3 ) ) )
= $true )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(354,plain,
! [SV14: $i,SV4: $i] :
( ( ( ( head_of @ SV4 )
= ( tail_of @ SV14 ) )
= $false )
| ( ( edge @ SV14 )
= $false )
| ( ( edge @ SV4 )
= $false )
| ( ( SV4 = SV14 )
= $true )
| ( ( sequential @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(355,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( ~ ( edge @ SV39 ) )
= $true )
| ( ( ( tail_of @ SV39 )
!= ( tail_of @ SV23 ) )
= $true )
| ( ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(356,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( path @ SV7 @ SV16 @ ( sK7_SY120 @ SV24 @ SV16 @ SV7 ) )
= $true )
| ( ( path @ SV7 @ SV16 @ SV24 )
= $false )
| ( ( SV7 = SV16 )
= $true )
| ( ( shortest_path @ SV7 @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(357,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i,SV40: $i] :
( ( ( ( tail_of @ SV40 )
!= ( tail_of @ SV25 ) )
= $true )
| ( ( ( head_of @ SV40 )
!= ( head_of @ SV29 ) )
= $true )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(358,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) ) )
= $true )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(359,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV41: $i,SV33: $i] :
( ( ( ~ ( sequential @ SV33 @ SV41 )
| ~ ( precedes @ SV41 @ SV35 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(360,plain,
! [SV20: $i,SV27: $i] :
( ( ( edge @ ( sK6_SY129 @ SV27 @ SV20 ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(361,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(362,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(363,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( edge @ SV2 )
| ~ ( edge @ SV12 ) )
= $true )
| ( ( ~ ( edge @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(364,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV42: $i,SV34: $i] :
( ( ( ~ ( ~ ( sequential @ SV34 @ SV42 )
| ~ ( precedes @ SV42 @ SV36 @ SV3 ) ) )
= $false )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(365,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( edge @ SV39 )
= $false )
| ( ( ( tail_of @ SV39 )
!= ( tail_of @ SV23 ) )
= $true )
| ( ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(366,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV29: $i,SV25: $i,SV40: $i] :
( ( ( ( tail_of @ SV40 )
= ( tail_of @ SV25 ) )
= $false )
| ( ( ( head_of @ SV40 )
!= ( head_of @ SV29 ) )
= $true )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(367,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) ) )
= $false )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(368,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV41: $i,SV33: $i] :
( ( ( ~ ( sequential @ SV33 @ SV41 ) )
= $true )
| ( ( ~ ( precedes @ SV41 @ SV35 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(369,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(370,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( edge @ SV2 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(371,plain,
! [SV21: $i,SV2: $i,SV12: $i] :
( ( ( ~ ( edge @ SV12 ) )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(372,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( edge @ SV2 ) )
= $true )
| ( ( ~ ( edge @ SV12 ) )
= $true )
| ( ( ~ ( edge @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(373,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV42: $i,SV34: $i] :
( ( ( ~ ( sequential @ SV34 @ SV42 )
| ~ ( precedes @ SV42 @ SV36 @ SV3 ) )
= $true )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(374,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV28: $i,SV23: $i,SV39: $i] :
( ( ( ( tail_of @ SV39 )
= ( tail_of @ SV23 ) )
= $false )
| ( ( edge @ SV39 )
= $false )
| ( ( ( head_of @ SV39 )
!= ( head_of @ SV28 ) )
= $true )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(375,plain,
! [SV32: $i,SV17: $i,SV8: $i,SV25: $i,SV29: $i,SV40: $i] :
( ( ( ( head_of @ SV40 )
= ( head_of @ SV29 ) )
= $false )
| ( ( ( tail_of @ SV40 )
= ( tail_of @ SV25 ) )
= $false )
| ( ( shortest_path @ SV8 @ SV17 @ SV32 )
= $false )
| ( ( precedes @ SV25 @ SV29 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(376,plain,
! [SV35: $i,SV1: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( sequential @ SV33 @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) )
| ~ ( precedes @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 ) ) )
= $false )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[367]) ).
thf(377,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV35: $i,SV41: $i,SV33: $i] :
( ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( ~ ( precedes @ SV41 @ SV35 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(378,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
| ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(379,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( edge @ SV2 )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(380,plain,
! [SV21: $i,SV2: $i,SV12: $i] :
( ( ( edge @ SV12 )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(381,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( edge @ SV2 )
= $false )
| ( ( ~ ( edge @ SV12 ) )
= $true )
| ( ( ~ ( edge @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(382,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV42: $i,SV34: $i] :
( ( ( ~ ( sequential @ SV34 @ SV42 ) )
= $true )
| ( ( ~ ( precedes @ SV42 @ SV36 @ SV3 ) )
= $true )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(383,plain,
! [SV31: $i,SV15: $i,SV5: $i,SV23: $i,SV28: $i,SV39: $i] :
( ( ( ( head_of @ SV39 )
= ( head_of @ SV28 ) )
= $false )
| ( ( edge @ SV39 )
= $false )
| ( ( ( tail_of @ SV39 )
= ( tail_of @ SV23 ) )
= $false )
| ( ( shortest_path @ SV5 @ SV15 @ SV31 )
= $false )
| ( ( precedes @ SV23 @ SV28 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(384,plain,
! [SV35: $i,SV1: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( ~ ( ~ ( sequential @ SV33 @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) )
| ~ ( precedes @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 ) ) )
= $true )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(385,plain,
! [SV19: $i,SV11: $i,SV33: $i,SV1: $i,SV35: $i,SV41: $i] :
( ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( ~ ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) ) )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(386,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(387,plain,
! [SV21: $i,SV2: $i,SV12: $i] :
( ( ( edge @ SV12 )
= $false )
| ( ( edge @ SV2 )
= $false )
| ( ( ~ ( edge @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(388,plain,
! [SV22: $i,SV13: $i,SV3: $i,SV36: $i,SV42: $i,SV34: $i] :
( ( ( sequential @ SV34 @ SV42 )
= $false )
| ( ( ~ ( precedes @ SV42 @ SV36 @ SV3 ) )
= $true )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(389,plain,
! [SV35: $i,SV1: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( ~ ( sequential @ SV33 @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) )
| ~ ( precedes @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 ) )
= $false )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(390,plain,
! [SV19: $i,SV11: $i,SV41: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) )
| ( sequential @ SV33 @ SV35 ) )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(391,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(392,plain,
! [SV12: $i,SV2: $i,SV21: $i] :
( ( ( edge @ SV21 )
= $false )
| ( ( edge @ SV2 )
= $false )
| ( ( edge @ SV12 )
= $false )
| ( ( ~ ( sequential @ SV2 @ SV12 ) )
= $true )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(393,plain,
! [SV22: $i,SV13: $i,SV34: $i,SV3: $i,SV36: $i,SV42: $i] :
( ( ( precedes @ SV42 @ SV36 @ SV3 )
= $false )
| ( ( sequential @ SV34 @ SV42 )
= $false )
| ( ( on_path @ SV34 @ SV3 )
= $false )
| ( ( on_path @ SV36 @ SV3 )
= $false )
| ( ( precedes @ SV34 @ SV36 @ SV3 )
= $true )
| ( ( path @ SV13 @ SV22 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(394,plain,
! [SV35: $i,SV1: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( ~ ( sequential @ SV33 @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) ) )
= $false )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(395,plain,
! [SV33: $i,SV35: $i,SV1: $i,SV11: $i,SV19: $i] :
( ( ( ~ ( precedes @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 ) )
= $false )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(396,plain,
! [SV19: $i,SV11: $i,SV41: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) ) )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(397,plain,
! [SV19: $i,SV11: $i,SV1: $i,SV41: $i,SV35: $i,SV33: $i] :
( ( ( sequential @ SV33 @ SV35 )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(398,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(399,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(400,plain,
! [SV21: $i,SV12: $i,SV2: $i] :
( ( ( sequential @ SV2 @ SV12 )
= $false )
| ( ( edge @ SV12 )
= $false )
| ( ( edge @ SV2 )
= $false )
| ( ( edge @ SV21 )
= $false )
| ( ( ~ ( sequential @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(401,plain,
! [SV35: $i,SV1: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( sequential @ SV33 @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) )
= $true )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(402,plain,
! [SV33: $i,SV35: $i,SV1: $i,SV11: $i,SV19: $i] :
( ( ( precedes @ ( sK8_SY148 @ SV19 @ SV11 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 )
= $true )
| ( ( sequential @ SV33 @ SV35 )
= $true )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(403,plain,
! [SV19: $i,SV11: $i,SV41: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ~ ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) ) )
= $true )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(404,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(405,plain,
! [SV20: $i,SV27: $i] :
( ( ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(406,plain,
! [SV2: $i,SV21: $i,SV12: $i] :
( ( ( sequential @ SV12 @ SV21 )
= $false )
| ( ( edge @ SV21 )
= $false )
| ( ( edge @ SV2 )
= $false )
| ( ( edge @ SV12 )
= $false )
| ( ( sequential @ SV2 @ SV12 )
= $false )
| ( ( ~ ( sequential @ SV21 @ SV2 ) )
= $true )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(407,plain,
! [SV19: $i,SV11: $i,SV41: $i,SV1: $i,SV35: $i,SV33: $i] :
( ( ( ! [SY148: $i] :
~ ~ ( ~ ( sequential @ SV33 @ SY148 )
| ~ ( precedes @ SY148 @ SV35 @ SV1 ) ) )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(408,plain,
! [SV27: $i,SV20: $i] :
( ( ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(409,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(410,plain,
! [SV12: $i,SV2: $i,SV21: $i] :
( ( ( sequential @ SV21 @ SV2 )
= $false )
| ( ( sequential @ SV2 @ SV12 )
= $false )
| ( ( edge @ SV12 )
= $false )
| ( ( edge @ SV2 )
= $false )
| ( ( edge @ SV21 )
= $false )
| ( ( sequential @ SV12 @ SV21 )
= $false )
| ( ( triangle @ SV2 @ SV12 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(411,plain,
! [SV35: $i,SV1: $i,SV41: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( sequential @ SV33 @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) )
| ~ ( precedes @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 ) ) )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[407]) ).
thf(412,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(413,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(414,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(415,plain,
! [SV35: $i,SV1: $i,SV41: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( ~ ( ~ ( sequential @ SV33 @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) )
| ~ ( precedes @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 ) ) )
= $true )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(416,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(417,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(418,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(419,plain,
! [SV35: $i,SV1: $i,SV41: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( ~ ( sequential @ SV33 @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) )
| ~ ( precedes @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 ) )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(420,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(421,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(422,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
| ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(423,plain,
! [SV35: $i,SV1: $i,SV41: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( ~ ( sequential @ SV33 @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) ) )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(424,plain,
! [SV33: $i,SV35: $i,SV1: $i,SV41: $i,SV11: $i,SV19: $i] :
( ( ( ~ ( precedes @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 ) )
= $false )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(425,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(426,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(427,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(428,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(429,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(430,plain,
! [SV27: $i,SV20: $i] :
( ( ( ~ ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $false )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(431,plain,
! [SV35: $i,SV1: $i,SV41: $i,SV11: $i,SV19: $i,SV33: $i] :
( ( ( sequential @ SV33 @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) )
= $true )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(432,plain,
! [SV33: $i,SV35: $i,SV1: $i,SV41: $i,SV11: $i,SV19: $i] :
( ( ( precedes @ ( sK9_SY148 @ SV19 @ SV11 @ SV41 @ SV1 @ SV35 @ SV33 ) @ SV35 @ SV1 )
= $true )
| ( ( sequential @ SV33 @ SV41 )
= $false )
| ( ( precedes @ SV41 @ SV35 @ SV1 )
= $false )
| ( ( precedes @ SV33 @ SV35 @ SV1 )
= $false )
| ( ( path @ SV11 @ SV19 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(433,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $true )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(434,plain,
! [SV27: $i,SV20: $i] :
( ( ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
= $true )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(435,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $true )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(436,plain,
! [SV27: $i,SV20: $i] :
( ( ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
= $true )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(437,plain,
! [SV20: $i,SV27: $i] :
( ( ( ~ ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) ) )
= $true )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(438,plain,
! [SV27: $i,SV20: $i] :
( ( ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
= $true )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(439,plain,
! [SV20: $i,SV27: $i] :
( ( ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(440,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(441,plain,
! [SV20: $i,SV27: $i] :
( ( ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
= $false )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(442,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(443,plain,
! [SV20: $i,SV27: $i] :
( ( ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
| ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) ) )
= $false )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(444,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(445,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(446,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(447,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(448,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(449,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(450,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(451,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
!= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(452,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(453,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
!= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(454,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(455,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(456,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(457,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(458,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(459,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(460,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(461,plain,
! [SV27: $i,SV20: $i] :
( ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $true )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(462,plain,
! [SV20: $i,SV27: $i] :
( ( ( SV27
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV27
= ( head_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( SV20
= ( tail_of @ ( sK6_SY129 @ SV27 @ SV20 ) ) )
= $false )
| ( ( vertex @ SV27 )
= $false )
| ( ( vertex @ SV20 )
= $false )
| ( ( SV20 = SV27 )
= $true )
| ( complete = $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(463,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[47,462,461,460,459,458,457,456,455,454,432,431,410,402,401,397,393,383,380,379,375,360,356,354,351,346,343,332,326,313,308,307,301,300,290,287,277,276,270,268,265,261,255,216,215,205,190,138,137,104]) ).
thf(464,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA007+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% 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
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 10:24:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.77/0.94
% 2.77/0.94 No.of.Axioms: 11
% 2.77/0.94
% 2.77/0.94 Length.of.Defs: 0
% 2.77/0.94
% 2.77/0.94 Contains.Choice.Funs: false
% 2.77/0.94 ...............
% 2.77/0.94
% 2.77/0.94 ********************************
% 2.77/0.94 * All subproblems solved! *
% 2.77/0.94 ********************************
% 2.77/0.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:12,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:463,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.77/0.94
% 2.77/0.94 %**** Beginning of derivation protocol ****
% 2.77/0.94 % SZS output start CNFRefutation
% See solution above
% 2.77/0.95
% 2.77/0.95 %**** End of derivation protocol ****
% 2.77/0.95 %**** no. of clauses in derivation: 457 ****
% 2.77/0.95 %**** clause counter: 463 ****
% 2.77/0.95
% 2.77/0.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:12,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:463,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------