%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRA006+1 : TPTP v9.0.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 06:23:19 PM UTC 2025
% Result : Theorem 134.79s 110.61s
% Output : CNFRefutation 135.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 1378 ( 544 unt; 0 typ; 0 def)
% Number of atoms : 4079 (1336 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 5228 (2527 ~;2643 |; 37 &)
% ( 2 <=>; 14 =>; 2 <=; 3 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-5 aty)
% Number of variables : 2092 (2083 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ triangle > shortest_path > precedes > path > sequential > on_path > less_or_equal > in_path > vertex > edge > path_cons > number_of_in > minus > #nlpp > tail_of > length_of > head_of > triangles > sequential_pairs > n1 > graph > empty > edges > complete > #skF_11 > #skF_6 > #skF_15 > #skF_5 > #skF_10 > #skF_14 > #skF_13 > #skF_2 > #skF_9 > #skF_7 > #skF_4 > #skF_3 > #skF_8 > #skF_1 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(head_of,type,
head_of: $i > $i ).
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff(triangle,type,
triangle: ( $i * $i * $i ) > $o ).
tff(triangles,type,
triangles: $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(number_of_in,type,
number_of_in: ( $i * $i ) > $i ).
tff(on_path,type,
on_path: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(vertex,type,
vertex: $i > $o ).
tff(n1,type,
n1: $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(length_of,type,
length_of: $i > $i ).
tff(sequential_pairs,type,
sequential_pairs: $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(edge,type,
edge: $i > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(precedes,type,
precedes: ( $i * $i * $i ) > $o ).
tff(graph,type,
graph: $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i ) > $i ).
tff(in_path,type,
in_path: ( $i * $i ) > $o ).
tff(sequential,type,
sequential: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(tail_of,type,
tail_of: $i > $i ).
tff(edges,type,
edges: $i ).
tff(complete,type,
complete: $o ).
tff(path_cons,type,
path_cons: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(empty,type,
empty: $i ).
tff(shortest_path,type,
shortest_path: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(path,type,
path: ( $i * $i * $i ) > $o ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_276,negated_conjecture,
~ ( complete
=> ! [V1,V2,E1,E2,P] :
( ( shortest_path(V1,V2,P)
& precedes(E1,E2,P) )
=> ( ? [E3] :
( edge(E3)
& ( tail_of(E3) = tail_of(E1) )
& ( head_of(E3) = head_of(E2) ) )
<~> ? [E3] :
( edge(E3)
& ( tail_of(E3) = head_of(E2) )
& ( head_of(E3) = tail_of(E1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',edge_some_way) ).
tff(f_190,axiom,
! [P,V1,V2] :
( path(V1,V2,P)
=> ! [E1,E2] :
( precedes(E1,E2,P)
=> ( on_path(E1,P)
& on_path(E2,P)
& ( sequential(E1,E2)
<~> ? [E3] :
( sequential(E1,E3)
& precedes(E3,E2,P) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',precedes_properties) ).
tff(f_202,axiom,
! [V1,V2,SP] :
( shortest_path(V1,V2,SP)
<=> ( path(V1,V2,SP)
& ( V1 != V2 )
& ! [P] :
( path(V1,V2,P)
=> less_or_equal(length_of(SP),length_of(P)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',shortest_path_defn) ).
tff(f_134,axiom,
! [V1,V2,P,E] :
( ( 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/Axioms/GRA001+0.ax',on_path_properties) ).
tff(f_158,axiom,
! [E1,E2] :
( sequential(E1,E2)
<=> ( edge(E1)
& edge(E2)
& ( E1 != E2 )
& ( head_of(E1) = tail_of(E2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',sequential_defn) ).
tff(f_174,axiom,
! [P,V1,V2] :
( path(V1,V2,P)
=> ! [E1,E2] :
( precedes(E1,E2,P)
<= ( on_path(E1,P)
& on_path(E2,P)
& ( sequential(E1,E2)
| ? [E3] :
( sequential(E1,E3)
& precedes(E3,E2,P) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',precedes_defn) ).
tff(f_215,axiom,
! [V1,V2,E1,E2,P] :
( ( shortest_path(V1,V2,P)
& precedes(E1,E2,P) )
=> ( ~ ? [E3] :
( ( tail_of(E3) = tail_of(E1) )
& ( head_of(E3) = head_of(E2) ) )
& ~ precedes(E2,E1,P) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',shortest_path_properties) ).
tff(f_147,axiom,
! [V1,V2,P,V] :
( ( path(V1,V2,P)
& in_path(V,P) )
=> ( vertex(V)
& ? [E] :
( on_path(E,P)
& ( ( V = head_of(E) )
| ( V = tail_of(E) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',in_path_properties) ).
tff(f_64,axiom,
! [E] :
( edge(E)
=> ( vertex(head_of(E))
& vertex(tail_of(E)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',edge_ends_are_vertices) ).
tff(f_104,axiom,
! [V1,V2,P] :
( path(V1,V2,P)
<= ( vertex(V1)
& vertex(V2)
& ? [E] :
( edge(E)
& ( V1 = tail_of(E) )
& ( ( ( V2 = head_of(E) )
& ( P = path_cons(E,empty) ) )
| ? [TP] :
( path(head_of(E),V2,TP)
& ( P = path_cons(E,TP) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',path_defn) ).
tff(f_235,axiom,
! [V1,V2,P] :
( path(V1,V2,P)
=> ( length_of(P) = number_of_in(edges,P) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_defn) ).
tff(f_84,axiom,
( complete
=> ! [V1,V2] :
( ( vertex(V1)
& vertex(V2)
& ( V1 != V2 ) )
=> ? [E] :
( edge(E)
& ( ( ( V1 = head_of(E) )
& ( V2 = tail_of(E) ) )
<~> ( ( V2 = head_of(E) )
& ( V1 = tail_of(E) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',complete_properties) ).
tff(f_58,axiom,
! [E] :
( edge(E)
=> ( head_of(E) != tail_of(E) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',no_loops) ).
tff(c_142,plain,
precedes('#skF_11','#skF_12','#skF_13'),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_357260,plain,
! [V2_37201,P_37200,E2_37199,V1_37202,E1_37198] :
( on_path(E2_37199,P_37200)
| ~ precedes(E1_37198,E2_37199,P_37200)
| ~ path(V1_37202,V2_37201,P_37200) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_357263,plain,
! [V1_37202,V2_37201] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_37202,V2_37201,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_357260]) ).
tff(c_357264,plain,
! [V1_37202,V2_37201] : ~ path(V1_37202,V2_37201,'#skF_13'),
inference(splitLeft,[status(thm)],[c_357263]) ).
tff(c_144,plain,
shortest_path('#skF_9','#skF_10','#skF_13'),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_331150,plain,
! [V1_34431,V2_34432,SP_34433] :
( path(V1_34431,V2_34432,SP_34433)
| ~ shortest_path(V1_34431,V2_34432,SP_34433) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_331154,plain,
path('#skF_9','#skF_10','#skF_13'),
inference(resolution,[status(thm)],[c_144,c_331150]) ).
tff(c_357266,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357264,c_331154]) ).
tff(c_357267,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_357263]) ).
tff(c_62,plain,
! [E_29,P_28,V1_26,V2_27] :
( edge(E_29)
| ~ on_path(E_29,P_28)
| ~ path(V1_26,V2_27,P_28) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_357270,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_357267,c_62]) ).
tff(c_357271,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_357270]) ).
tff(c_357277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357271,c_331154]) ).
tff(c_357278,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_357270]) ).
tff(c_331267,plain,
! [E2_34461,V2_34463,P_34462,E1_34460,V1_34464] :
( on_path(E2_34461,P_34462)
| ~ precedes(E1_34460,E2_34461,P_34462)
| ~ path(V1_34464,V2_34463,P_34462) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_331270,plain,
! [V1_34464,V2_34463] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_34464,V2_34463,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_331267]) ).
tff(c_331271,plain,
! [V1_34464,V2_34463] : ~ path(V1_34464,V2_34463,'#skF_13'),
inference(splitLeft,[status(thm)],[c_331270]) ).
tff(c_331273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331271,c_331154]) ).
tff(c_331274,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_331270]) ).
tff(c_331277,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_331274,c_62]) ).
tff(c_331278,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_331277]) ).
tff(c_331280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331278,c_331154]) ).
tff(c_331281,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_331277]) ).
tff(c_331221,plain,
! [P_34456,V1_34458,V2_34457,E2_34455,E1_34454] :
( on_path(E1_34454,P_34456)
| ~ precedes(E1_34454,E2_34455,P_34456)
| ~ path(V1_34458,V2_34457,P_34456) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_331224,plain,
! [V1_34458,V2_34457] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_34458,V2_34457,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_331221]) ).
tff(c_331225,plain,
! [V1_34458,V2_34457] : ~ path(V1_34458,V2_34457,'#skF_13'),
inference(splitLeft,[status(thm)],[c_331224]) ).
tff(c_331227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331225,c_331154]) ).
tff(c_331228,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_331224]) ).
tff(c_331250,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_331228,c_62]) ).
tff(c_331251,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_331250]) ).
tff(c_331253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331251,c_331154]) ).
tff(c_331254,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_331250]) ).
tff(c_70,plain,
! [E1_35,E2_36] :
( sequential(E1_35,E2_36)
| ( tail_of(E2_36) != head_of(E1_35) )
| ( E2_36 = E1_35 )
| ~ edge(E2_36)
| ~ edge(E1_35) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_331865,plain,
! [E1_34560,V2_34558,E2_34562,V1_34559,P_34561] :
( ~ sequential(E1_34560,E2_34562)
| precedes(E1_34560,E2_34562,P_34561)
| ~ on_path(E2_34562,P_34561)
| ~ on_path(E1_34560,P_34561)
| ~ path(V1_34559,V2_34558,P_34561) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_331878,plain,
! [E1_34563,E2_34564] :
( ~ sequential(E1_34563,E2_34564)
| precedes(E1_34563,E2_34564,'#skF_13')
| ~ on_path(E2_34564,'#skF_13')
| ~ on_path(E1_34563,'#skF_13') ),
inference(resolution,[status(thm)],[c_331154,c_331865]) ).
tff(c_331344,plain,
! [P_34482,E2_34484,V1_34483,V2_34485,E1_34486] :
( ~ precedes(E2_34484,E1_34486,P_34482)
| ~ precedes(E1_34486,E2_34484,P_34482)
| ~ shortest_path(V1_34483,V2_34485,P_34482) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_331347,plain,
! [V1_34483,V2_34485] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_34483,V2_34485,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_331344]) ).
tff(c_331352,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_331347]) ).
tff(c_331883,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_331878,c_331352]) ).
tff(c_331893,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_331274,c_331228,c_331883]) ).
tff(c_331899,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_331893]) ).
tff(c_331902,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331281,c_331254,c_331899]) ).
tff(c_331903,plain,
tail_of('#skF_11') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_331902]) ).
tff(c_162283,plain,
! [P_16845,E2_16844,V2_16846,E1_16843,V1_16847] :
( on_path(E2_16844,P_16845)
| ~ precedes(E1_16843,E2_16844,P_16845)
| ~ path(V1_16847,V2_16846,P_16845) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_162286,plain,
! [V1_16847,V2_16846] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_16847,V2_16846,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_162283]) ).
tff(c_162291,plain,
! [V1_16847,V2_16846] : ~ path(V1_16847,V2_16846,'#skF_13'),
inference(splitLeft,[status(thm)],[c_162286]) ).
tff(c_63955,plain,
! [V1_6899,V2_6900,SP_6901] :
( path(V1_6899,V2_6900,SP_6901)
| ~ shortest_path(V1_6899,V2_6900,SP_6901) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_63959,plain,
path('#skF_9','#skF_10','#skF_13'),
inference(resolution,[status(thm)],[c_144,c_63955]) ).
tff(c_162293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162291,c_63959]) ).
tff(c_162294,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_162286]) ).
tff(c_162297,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_162294,c_62]) ).
tff(c_162299,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_162297]) ).
tff(c_162301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162299,c_63959]) ).
tff(c_162302,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_162297]) ).
tff(c_86621,plain,
! [V2_9233,E1_9230,V1_9234,P_9232,E2_9231] :
( on_path(E2_9231,P_9232)
| ~ precedes(E1_9230,E2_9231,P_9232)
| ~ path(V1_9234,V2_9233,P_9232) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_86624,plain,
! [V1_9234,V2_9233] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_9234,V2_9233,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_86621]) ).
tff(c_86629,plain,
! [V1_9234,V2_9233] : ~ path(V1_9234,V2_9233,'#skF_13'),
inference(splitLeft,[status(thm)],[c_86624]) ).
tff(c_86631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86629,c_63959]) ).
tff(c_86632,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_86624]) ).
tff(c_86655,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_86632,c_62]) ).
tff(c_86656,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_86655]) ).
tff(c_86658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86656,c_63959]) ).
tff(c_86659,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_86655]) ).
tff(c_64084,plain,
! [E2_6940,P_6941,E1_6939,V2_6942,V1_6943] :
( on_path(E2_6940,P_6941)
| ~ precedes(E1_6939,E2_6940,P_6941)
| ~ path(V1_6943,V2_6942,P_6941) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_64087,plain,
! [V1_6943,V2_6942] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_6943,V2_6942,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_64084]) ).
tff(c_64088,plain,
! [V1_6943,V2_6942] : ~ path(V1_6943,V2_6942,'#skF_13'),
inference(splitLeft,[status(thm)],[c_64087]) ).
tff(c_64090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64088,c_63959]) ).
tff(c_64091,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_64087]) ).
tff(c_64094,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_64091,c_62]) ).
tff(c_64095,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_64094]) ).
tff(c_64097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64095,c_63959]) ).
tff(c_64098,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_64094]) ).
tff(c_64053,plain,
! [E1_6929,P_6931,E2_6930,V2_6932,V1_6933] :
( on_path(E1_6929,P_6931)
| ~ precedes(E1_6929,E2_6930,P_6931)
| ~ path(V1_6933,V2_6932,P_6931) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_64056,plain,
! [V1_6933,V2_6932] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_6933,V2_6932,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_64053]) ).
tff(c_64057,plain,
! [V1_6933,V2_6932] : ~ path(V1_6933,V2_6932,'#skF_13'),
inference(splitLeft,[status(thm)],[c_64056]) ).
tff(c_64063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64057,c_63959]) ).
tff(c_64064,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_64056]) ).
tff(c_64067,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_64064,c_62]) ).
tff(c_64068,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_64067]) ).
tff(c_64070,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64068,c_63959]) ).
tff(c_64071,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_64067]) ).
tff(c_64484,plain,
! [V2_7015,V1_7016,E1_7017,E2_7019,P_7018] :
( ~ sequential(E1_7017,E2_7019)
| precedes(E1_7017,E2_7019,P_7018)
| ~ on_path(E2_7019,P_7018)
| ~ on_path(E1_7017,P_7018)
| ~ path(V1_7016,V2_7015,P_7018) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_64494,plain,
! [E1_7020,E2_7021] :
( ~ sequential(E1_7020,E2_7021)
| precedes(E1_7020,E2_7021,'#skF_13')
| ~ on_path(E2_7021,'#skF_13')
| ~ on_path(E1_7020,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_64484]) ).
tff(c_64136,plain,
! [V2_6959,V1_6957,E1_6960,E2_6958,P_6956] :
( ~ precedes(E2_6958,E1_6960,P_6956)
| ~ precedes(E1_6960,E2_6958,P_6956)
| ~ shortest_path(V1_6957,V2_6959,P_6956) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_64139,plain,
! [V1_6957,V2_6959] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_6957,V2_6959,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_64136]) ).
tff(c_64158,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_64139]) ).
tff(c_64499,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_64494,c_64158]) ).
tff(c_64509,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_64091,c_64064,c_64499]) ).
tff(c_64515,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_64509]) ).
tff(c_64518,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64098,c_64071,c_64515]) ).
tff(c_64532,plain,
tail_of('#skF_11') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_64518]) ).
tff(c_64111,plain,
! [E_6944,P_6945,V1_6946,V2_6947] :
( in_path(head_of(E_6944),P_6945)
| ~ on_path(E_6944,P_6945)
| ~ path(V1_6946,V2_6947,P_6945) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_64115,plain,
! [E_6948] :
( in_path(head_of(E_6948),'#skF_13')
| ~ on_path(E_6948,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_64111]) ).
tff(c_68,plain,
! [V_33,P_32,V1_30,V2_31] :
( vertex(V_33)
| ~ in_path(V_33,P_32)
| ~ path(V1_30,V2_31,P_32) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_64118,plain,
! [E_6948,V1_30,V2_31] :
( vertex(head_of(E_6948))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_6948,'#skF_13') ),
inference(resolution,[status(thm)],[c_64115,c_68]) ).
tff(c_64119,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_64118]) ).
tff(c_64125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64119,c_63959]) ).
tff(c_64126,plain,
! [E_6948] :
( vertex(head_of(E_6948))
| ~ on_path(E_6948,'#skF_13') ),
inference(splitRight,[status(thm)],[c_64118]) ).
tff(c_64837,plain,
! [V2_7088,V1_7089,E2_7086,E1_7085,P_7087] :
( sequential(E1_7085,E2_7086)
| sequential(E1_7085,'#skF_5'(E1_7085,E2_7086,P_7087,V2_7088,V1_7089))
| ~ precedes(E1_7085,E2_7086,P_7087)
| ~ path(V1_7089,V2_7088,P_7087) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_76,plain,
! [E2_36,E1_35] :
( edge(E2_36)
| ~ sequential(E1_35,E2_36) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_64856,plain,
! [V2_7088,V1_7089,E2_7086,E1_7085,P_7087] :
( edge('#skF_5'(E1_7085,E2_7086,P_7087,V2_7088,V1_7089))
| sequential(E1_7085,E2_7086)
| ~ precedes(E1_7085,E2_7086,P_7087)
| ~ path(V1_7089,V2_7088,P_7087) ),
inference(resolution,[status(thm)],[c_64837,c_76]) ).
tff(c_72,plain,
! [E2_36,E1_35] :
( ( tail_of(E2_36) = head_of(E1_35) )
| ~ sequential(E1_35,E2_36) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_65179,plain,
! [P_7163,E1_7165,V2_7166,E2_7164,V1_7162] :
( ( tail_of('#skF_5'(E1_7165,E2_7164,P_7163,V2_7166,V1_7162)) = head_of(E1_7165) )
| sequential(E1_7165,E2_7164)
| ~ precedes(E1_7165,E2_7164,P_7163)
| ~ path(V1_7162,V2_7166,P_7163) ),
inference(resolution,[status(thm)],[c_64837,c_72]) ).
tff(c_4,plain,
! [E_2] :
( vertex(tail_of(E_2))
| ~ edge(E_2) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_65511,plain,
! [E2_7227,V1_7226,P_7230,E1_7228,V2_7229] :
( vertex(head_of(E1_7228))
| ~ edge('#skF_5'(E1_7228,E2_7227,P_7230,V2_7229,V1_7226))
| sequential(E1_7228,E2_7227)
| ~ precedes(E1_7228,E2_7227,P_7230)
| ~ path(V1_7226,V2_7229,P_7230) ),
inference(superposition,[status(thm),theory(equality)],[c_65179,c_4]) ).
tff(c_65528,plain,
! [V1_7237,V2_7241,E2_7239,P_7238,E1_7240] :
( vertex(head_of(E1_7240))
| sequential(E1_7240,E2_7239)
| ~ precedes(E1_7240,E2_7239,P_7238)
| ~ path(V1_7237,V2_7241,P_7238) ),
inference(resolution,[status(thm)],[c_64856,c_65511]) ).
tff(c_65540,plain,
! [V1_7237,V2_7241] :
( vertex(head_of('#skF_11'))
| sequential('#skF_11','#skF_12')
| ~ path(V1_7237,V2_7241,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_65528]) ).
tff(c_65541,plain,
! [V1_7237,V2_7241] : ~ path(V1_7237,V2_7241,'#skF_13'),
inference(splitLeft,[status(thm)],[c_65540]) ).
tff(c_65543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65541,c_63959]) ).
tff(c_65544,plain,
( sequential('#skF_11','#skF_12')
| vertex(head_of('#skF_11')) ),
inference(splitRight,[status(thm)],[c_65540]) ).
tff(c_65579,plain,
vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_65544]) ).
tff(c_64925,plain,
! [V2_7119,E2_7117,E1_7116,P_7118,V1_7120] :
( sequential(E1_7116,E2_7117)
| precedes('#skF_5'(E1_7116,E2_7117,P_7118,V2_7119,V1_7120),E2_7117,P_7118)
| ~ precedes(E1_7116,E2_7117,P_7118)
| ~ path(V1_7120,V2_7119,P_7118) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_86,plain,
! [E1_57,E2_58,V2_50,V1_49,P_48] :
( on_path(E1_57,P_48)
| ~ precedes(E1_57,E2_58,P_48)
| ~ path(V1_49,V2_50,P_48) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_66201,plain,
! [E2_7338,E1_7343,V2_7339,P_7340,V1_7342,V2_7341,V1_7344] :
( on_path('#skF_5'(E1_7343,E2_7338,P_7340,V2_7339,V1_7344),P_7340)
| ~ path(V1_7342,V2_7341,P_7340)
| sequential(E1_7343,E2_7338)
| ~ precedes(E1_7343,E2_7338,P_7340)
| ~ path(V1_7344,V2_7339,P_7340) ),
inference(resolution,[status(thm)],[c_64925,c_86]) ).
tff(c_66219,plain,
! [E1_7343,E2_7338,V2_7339,V1_7344] :
( on_path('#skF_5'(E1_7343,E2_7338,'#skF_13',V2_7339,V1_7344),'#skF_13')
| sequential(E1_7343,E2_7338)
| ~ precedes(E1_7343,E2_7338,'#skF_13')
| ~ path(V1_7344,V2_7339,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_66201]) ).
tff(c_64034,plain,
! [E_6923,P_6924,V1_6925,V2_6926] :
( in_path(tail_of(E_6923),P_6924)
| ~ on_path(E_6923,P_6924)
| ~ path(V1_6925,V2_6926,P_6924) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_64037,plain,
! [E_6923] :
( in_path(tail_of(E_6923),'#skF_13')
| ~ on_path(E_6923,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_64034]) ).
tff(c_66372,plain,
! [V2_7386,P_7387,E1_7385,V1_7383,E2_7384] :
( in_path(head_of(E1_7385),'#skF_13')
| ~ on_path('#skF_5'(E1_7385,E2_7384,P_7387,V2_7386,V1_7383),'#skF_13')
| sequential(E1_7385,E2_7384)
| ~ precedes(E1_7385,E2_7384,P_7387)
| ~ path(V1_7383,V2_7386,P_7387) ),
inference(superposition,[status(thm),theory(equality)],[c_65179,c_64037]) ).
tff(c_66379,plain,
! [E1_7343,E2_7338,V1_7344,V2_7339] :
( in_path(head_of(E1_7343),'#skF_13')
| sequential(E1_7343,E2_7338)
| ~ precedes(E1_7343,E2_7338,'#skF_13')
| ~ path(V1_7344,V2_7339,'#skF_13') ),
inference(resolution,[status(thm)],[c_66219,c_66372]) ).
tff(c_66381,plain,
! [V1_7344,V2_7339] : ~ path(V1_7344,V2_7339,'#skF_13'),
inference(splitLeft,[status(thm)],[c_66379]) ).
tff(c_66383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66381,c_63959]) ).
tff(c_66385,plain,
! [E1_7388,E2_7389] :
( in_path(head_of(E1_7388),'#skF_13')
| sequential(E1_7388,E2_7389)
| ~ precedes(E1_7388,E2_7389,'#skF_13') ),
inference(splitRight,[status(thm)],[c_66379]) ).
tff(c_66401,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_66385]) ).
tff(c_66402,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_66401]) ).
tff(c_66487,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_66402,c_72]) ).
tff(c_30,plain,
! [E_12] :
( path(tail_of(E_12),head_of(E_12),path_cons(E_12,empty))
| ~ edge(E_12)
| ~ vertex(head_of(E_12))
| ~ vertex(tail_of(E_12)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_66523,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_66487,c_30]) ).
tff(c_66544,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_65579,c_66487,c_64098,c_66523]) ).
tff(c_66568,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_66544]) ).
tff(c_66574,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_64126,c_66568]) ).
tff(c_66582,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64091,c_66574]) ).
tff(c_66584,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_66544]) ).
tff(c_64038,plain,
! [E_6927] :
( in_path(tail_of(E_6927),'#skF_13')
| ~ on_path(E_6927,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_64034]) ).
tff(c_64044,plain,
! [E_6927,V1_30,V2_31] :
( vertex(tail_of(E_6927))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_6927,'#skF_13') ),
inference(resolution,[status(thm)],[c_64038,c_68]) ).
tff(c_64045,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_64044]) ).
tff(c_64047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64045,c_63959]) ).
tff(c_64048,plain,
! [E_6927] :
( vertex(tail_of(E_6927))
| ~ on_path(E_6927,'#skF_13') ),
inference(splitRight,[status(thm)],[c_64044]) ).
tff(c_66583,plain,
path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty)),
inference(splitRight,[status(thm)],[c_66544]) ).
tff(c_64766,plain,
! [E_7079,V2_7080,TP_7081] :
( ~ path(head_of(E_7079),V2_7080,TP_7081)
| path(tail_of(E_7079),V2_7080,path_cons(E_7079,TP_7081))
| ~ edge(E_7079)
| ~ vertex(V2_7080)
| ~ vertex(tail_of(E_7079)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_128,plain,
! [P_80,V1_78,V2_79] :
( ( number_of_in(edges,P_80) = length_of(P_80) )
| ~ path(V1_78,V2_79,P_80) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_64809,plain,
! [E_7079,TP_7081,V2_7080] :
( ( number_of_in(edges,path_cons(E_7079,TP_7081)) = length_of(path_cons(E_7079,TP_7081)) )
| ~ path(head_of(E_7079),V2_7080,TP_7081)
| ~ edge(E_7079)
| ~ vertex(V2_7080)
| ~ vertex(tail_of(E_7079)) ),
inference(resolution,[status(thm)],[c_64766,c_128]) ).
tff(c_66595,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_11')) ),
inference(resolution,[status(thm)],[c_66583,c_64809]) ).
tff(c_66629,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ vertex(tail_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_66584,c_64071,c_66595]) ).
tff(c_67058,plain,
~ vertex(tail_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_66629]) ).
tff(c_67061,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_64048,c_67058]) ).
tff(c_67068,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64064,c_67061]) ).
tff(c_67070,plain,
vertex(tail_of('#skF_11')),
inference(splitRight,[status(thm)],[c_66629]) ).
tff(c_146,plain,
complete,
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_26,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ~ complete ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_160,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_26]) ).
tff(c_20,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( tail_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ~ complete ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_164,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( tail_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_20]) ).
tff(c_8,plain,
! [V1_3,V2_4] :
( edge('#skF_1'(V1_3,V2_4))
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ~ complete ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_170,plain,
! [V1_3,V2_4] :
( edge('#skF_1'(V1_3,V2_4))
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_150,plain,
! [E3_100] :
( ( tail_of('#skF_11') = tail_of('#skF_15') )
| ( tail_of('#skF_11') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_64020,plain,
! [E3_6922] :
( ( tail_of('#skF_11') != head_of(E3_6922) )
| ( tail_of(E3_6922) != head_of('#skF_12') )
| ~ edge(E3_6922) ),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_64609,plain,
! [V1_7040,V2_7041] :
( ( head_of('#skF_1'(V1_7040,V2_7041)) != tail_of('#skF_11') )
| ( tail_of('#skF_1'(V1_7040,V2_7041)) != head_of('#skF_12') )
| ( V2_7041 = V1_7040 )
| ~ vertex(V2_7041)
| ~ vertex(V1_7040) ),
inference(resolution,[status(thm)],[c_170,c_64020]) ).
tff(c_69414,plain,
! [V1_7817,V2_7818] :
( ( head_of('#skF_1'(V1_7817,V2_7818)) != tail_of('#skF_11') )
| ( head_of('#skF_12') != V1_7817 )
| ( V2_7818 = V1_7817 )
| ~ vertex(V2_7818)
| ~ vertex(V1_7817)
| ( head_of('#skF_1'(V1_7817,V2_7818)) = V1_7817 )
| ( V2_7818 = V1_7817 )
| ~ vertex(V2_7818)
| ~ vertex(V1_7817) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_64609]) ).
tff(c_69420,plain,
! [V2_4,V1_3] :
( ( tail_of('#skF_11') != V2_4 )
| ( head_of('#skF_12') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_69414]) ).
tff(c_85880,plain,
! [V2_9167,V1_9168] :
( ( tail_of('#skF_11') != V2_9167 )
| ( head_of('#skF_12') != V1_9168 )
| ( V2_9167 = V1_9168 )
| ~ vertex(V2_9167)
| ~ vertex(V1_9168)
| ( head_of('#skF_1'(V1_9168,V2_9167)) = V1_9168 ) ),
inference(factorization,[status(thm),theory(equality)],[c_69420]) ).
tff(c_24,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ~ complete ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_162,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_24]) ).
tff(c_154,plain,
! [E3_99] :
( ( tail_of('#skF_11') = head_of('#skF_14') )
| ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_64006,plain,
! [E3_6921] :
( ( head_of(E3_6921) != head_of('#skF_12') )
| ( tail_of(E3_6921) != tail_of('#skF_11') )
| ~ edge(E3_6921) ),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_64519,plain,
! [V1_7022,V2_7023] :
( ( head_of('#skF_1'(V1_7022,V2_7023)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_7022,V2_7023)) != tail_of('#skF_11') )
| ( V2_7023 = V1_7022 )
| ~ vertex(V2_7023)
| ~ vertex(V1_7022) ),
inference(resolution,[status(thm)],[c_170,c_64006]) ).
tff(c_69275,plain,
! [V1_7810,V2_7811] :
( ( head_of('#skF_1'(V1_7810,V2_7811)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V2_7811 )
| ( V2_7811 = V1_7810 )
| ~ vertex(V2_7811)
| ~ vertex(V1_7810)
| ( head_of('#skF_1'(V1_7810,V2_7811)) = V2_7811 )
| ( V2_7811 = V1_7810 )
| ~ vertex(V2_7811)
| ~ vertex(V1_7810) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_64519]) ).
tff(c_69278,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_12') != V1_3 )
| ( tail_of('#skF_11') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_69275]) ).
tff(c_82991,plain,
! [V1_9013,V2_9014] :
( ( head_of('#skF_12') != V1_9013 )
| ( tail_of('#skF_11') != V2_9014 )
| ( V2_9014 = V1_9013 )
| ~ vertex(V2_9014)
| ~ vertex(V1_9013)
| ( head_of('#skF_1'(V1_9013,V2_9014)) = V2_9014 ) ),
inference(factorization,[status(thm),theory(equality)],[c_69278]) ).
tff(c_18,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( tail_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ~ complete ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_64341,plain,
! [V1_7008,V2_7009] :
( ( tail_of('#skF_1'(V1_7008,V2_7009)) = V2_7009 )
| ( tail_of('#skF_1'(V1_7008,V2_7009)) = V1_7008 )
| ( V2_7009 = V1_7008 )
| ~ vertex(V2_7009)
| ~ vertex(V1_7008) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_64000,plain,
! [V1_6919,V2_6920] :
( edge('#skF_1'(V1_6919,V2_6920))
| ( V2_6920 = V1_6919 )
| ~ vertex(V2_6920)
| ~ vertex(V1_6919) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_2,plain,
! [E_1] :
( ( tail_of(E_1) != head_of(E_1) )
| ~ edge(E_1) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_64004,plain,
! [V1_6919,V2_6920] :
( ( tail_of('#skF_1'(V1_6919,V2_6920)) != head_of('#skF_1'(V1_6919,V2_6920)) )
| ( V2_6920 = V1_6919 )
| ~ vertex(V2_6920)
| ~ vertex(V1_6919) ),
inference(resolution,[status(thm)],[c_64000,c_2]) ).
tff(c_65967,plain,
! [V1_7299,V2_7300] :
( ( head_of('#skF_1'(V1_7299,V2_7300)) != V1_7299 )
| ( V2_7300 = V1_7299 )
| ~ vertex(V2_7300)
| ~ vertex(V1_7299)
| ( tail_of('#skF_1'(V1_7299,V2_7300)) = V2_7300 )
| ( V2_7300 = V1_7299 )
| ~ vertex(V2_7300)
| ~ vertex(V1_7299) ),
inference(superposition,[status(thm),theory(equality)],[c_64341,c_64004]) ).
tff(c_65801,plain,
! [V1_7282,V2_7283] :
( ( head_of('#skF_1'(V1_7282,V2_7283)) != V2_7283 )
| ( V2_7283 = V1_7282 )
| ~ vertex(V2_7283)
| ~ vertex(V1_7282)
| ( tail_of('#skF_1'(V1_7282,V2_7283)) = V1_7282 )
| ( V2_7283 = V1_7282 )
| ~ vertex(V2_7283)
| ~ vertex(V1_7282) ),
inference(superposition,[status(thm),theory(equality)],[c_64341,c_64004]) ).
tff(c_10,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_1'(V1_3,V2_4)) != V1_3 )
| ( head_of('#skF_1'(V1_3,V2_4)) != V2_4 )
| ( tail_of('#skF_1'(V1_3,V2_4)) != V2_4 )
| ( head_of('#skF_1'(V1_3,V2_4)) != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ~ complete ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_168,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_1'(V1_3,V2_4)) != V1_3 )
| ( head_of('#skF_1'(V1_3,V2_4)) != V2_4 )
| ( tail_of('#skF_1'(V1_3,V2_4)) != V2_4 )
| ( head_of('#skF_1'(V1_3,V2_4)) != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_10]) ).
tff(c_65868,plain,
! [V1_7282,V2_7283] :
( ( tail_of('#skF_1'(V1_7282,V2_7283)) != V2_7283 )
| ( head_of('#skF_1'(V1_7282,V2_7283)) != V1_7282 )
| ( head_of('#skF_1'(V1_7282,V2_7283)) != V2_7283 )
| ( V2_7283 = V1_7282 )
| ~ vertex(V2_7283)
| ~ vertex(V1_7282) ),
inference(superposition,[status(thm),theory(equality)],[c_65801,c_168]) ).
tff(c_66041,plain,
! [V1_7299,V2_7300] :
( ( head_of('#skF_1'(V1_7299,V2_7300)) != V2_7300 )
| ( head_of('#skF_1'(V1_7299,V2_7300)) != V1_7299 )
| ( V2_7300 = V1_7299 )
| ~ vertex(V2_7300)
| ~ vertex(V1_7299) ),
inference(superposition,[status(thm),theory(equality)],[c_65967,c_65868]) ).
tff(c_83145,plain,
! [V1_9013,V2_9014] :
( ( head_of('#skF_1'(V1_9013,V2_9014)) != V1_9013 )
| ( head_of('#skF_12') != V1_9013 )
| ( tail_of('#skF_11') != V2_9014 )
| ( V2_9014 = V1_9013 )
| ~ vertex(V2_9014)
| ~ vertex(V1_9013) ),
inference(superposition,[status(thm),theory(equality)],[c_82991,c_66041]) ).
tff(c_86062,plain,
! [V2_9169,V1_9170] :
( ( tail_of('#skF_11') != V2_9169 )
| ( head_of('#skF_12') != V1_9170 )
| ( V2_9169 = V1_9170 )
| ~ vertex(V2_9169)
| ~ vertex(V1_9170) ),
inference(superposition,[status(thm),theory(equality)],[c_85880,c_83145]) ).
tff(c_86181,plain,
! [V1_9171] :
( ( head_of('#skF_12') != V1_9171 )
| ( tail_of('#skF_11') = V1_9171 )
| ~ vertex(V1_9171) ),
inference(resolution,[status(thm)],[c_67070,c_86062]) ).
tff(c_86262,plain,
tail_of('#skF_11') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_66584,c_86181]) ).
tff(c_86328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64532,c_86262]) ).
tff(c_86329,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_64518]) ).
tff(c_63968,plain,
! [E3_99] :
( ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_64109,plain,
tail_of('#skF_11') != tail_of('#skF_12'),
inference(resolution,[status(thm)],[c_64098,c_63968]) ).
tff(c_86346,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_86329,c_64109]) ).
tff(c_86347,plain,
! [V1_6957,V2_6959] : ~ shortest_path(V1_6957,V2_6959,'#skF_13'),
inference(splitRight,[status(thm)],[c_64139]) ).
tff(c_86350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86347,c_144]) ).
tff(c_86351,plain,
tail_of('#skF_11') = tail_of('#skF_15'),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_86355,plain,
( vertex(tail_of('#skF_15'))
| ~ edge('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_86351,c_4]) ).
tff(c_86359,plain,
~ edge('#skF_11'),
inference(splitLeft,[status(thm)],[c_86355]) ).
tff(c_86443,plain,
! [E1_9193,V2_9196,P_9195,V1_9197,E2_9194] :
( on_path(E1_9193,P_9195)
| ~ precedes(E1_9193,E2_9194,P_9195)
| ~ path(V1_9197,V2_9196,P_9195) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_86446,plain,
! [V1_9197,V2_9196] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_9197,V2_9196,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_86443]) ).
tff(c_86447,plain,
! [V1_9197,V2_9196] : ~ path(V1_9197,V2_9196,'#skF_13'),
inference(splitLeft,[status(thm)],[c_86446]) ).
tff(c_86449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86447,c_63959]) ).
tff(c_86450,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_86446]) ).
tff(c_86452,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_86450,c_62]) ).
tff(c_86455,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_86359,c_86452]) ).
tff(c_86461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86455,c_63959]) ).
tff(c_86463,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_86355]) ).
tff(c_86525,plain,
! [E_9210,P_9211,V1_9212,V2_9213] :
( in_path(tail_of(E_9210),P_9211)
| ~ on_path(E_9210,P_9211)
| ~ path(V1_9212,V2_9213,P_9211) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_86529,plain,
! [E_9214] :
( in_path(tail_of(E_9214),'#skF_13')
| ~ on_path(E_9214,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_86525]) ).
tff(c_86534,plain,
( in_path(tail_of('#skF_15'),'#skF_13')
| ~ on_path('#skF_11','#skF_13') ),
inference(superposition,[status(thm),theory(equality)],[c_86351,c_86529]) ).
tff(c_86539,plain,
~ on_path('#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_86534]) ).
tff(c_86607,plain,
! [V1_9229,E2_9226,V2_9228,P_9227,E1_9225] :
( on_path(E1_9225,P_9227)
| ~ precedes(E1_9225,E2_9226,P_9227)
| ~ path(V1_9229,V2_9228,P_9227) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_86609,plain,
! [V1_9229,V2_9228] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_9229,V2_9228,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_86607]) ).
tff(c_86612,plain,
! [V1_9229,V2_9228] : ~ path(V1_9229,V2_9228,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_86539,c_86609]) ).
tff(c_86614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86612,c_63959]) ).
tff(c_86616,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_86534]) ).
tff(c_87037,plain,
! [E2_9307,P_9306,V2_9303,V1_9304,E1_9305] :
( ~ sequential(E1_9305,E2_9307)
| precedes(E1_9305,E2_9307,P_9306)
| ~ on_path(E2_9307,P_9306)
| ~ on_path(E1_9305,P_9306)
| ~ path(V1_9304,V2_9303,P_9306) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_87057,plain,
! [E1_9308,E2_9309] :
( ~ sequential(E1_9308,E2_9309)
| precedes(E1_9308,E2_9309,'#skF_13')
| ~ on_path(E2_9309,'#skF_13')
| ~ on_path(E1_9308,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_87037]) ).
tff(c_86699,plain,
! [E2_9250,E1_9252,V2_9251,P_9248,V1_9249] :
( ~ precedes(E2_9250,E1_9252,P_9248)
| ~ precedes(E1_9252,E2_9250,P_9248)
| ~ shortest_path(V1_9249,V2_9251,P_9248) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_86702,plain,
! [V1_9249,V2_9251] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_9249,V2_9251,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_86699]) ).
tff(c_86707,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_86702]) ).
tff(c_87062,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_87057,c_86707]) ).
tff(c_87072,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_86632,c_86616,c_87062]) ).
tff(c_87078,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_87072]) ).
tff(c_87081,plain,
( ( tail_of('#skF_15') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86659,c_86463,c_86351,c_87078]) ).
tff(c_87082,plain,
tail_of('#skF_15') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_87081]) ).
tff(c_86492,plain,
! [E_9203,P_9204,V1_9205,V2_9206] :
( in_path(head_of(E_9203),P_9204)
| ~ on_path(E_9203,P_9204)
| ~ path(V1_9205,V2_9206,P_9204) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_86496,plain,
! [E_9207] :
( in_path(head_of(E_9207),'#skF_13')
| ~ on_path(E_9207,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_86492]) ).
tff(c_86499,plain,
! [E_9207,V1_30,V2_31] :
( vertex(head_of(E_9207))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_9207,'#skF_13') ),
inference(resolution,[status(thm)],[c_86496,c_68]) ).
tff(c_86500,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_86499]) ).
tff(c_86522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86500,c_63959]) ).
tff(c_86523,plain,
! [E_9207] :
( vertex(head_of(E_9207))
| ~ on_path(E_9207,'#skF_13') ),
inference(splitRight,[status(thm)],[c_86499]) ).
tff(c_86462,plain,
vertex(tail_of('#skF_15')),
inference(splitRight,[status(thm)],[c_86355]) ).
tff(c_86986,plain,
! [E_9302] :
( path(tail_of(E_9302),head_of(E_9302),path_cons(E_9302,empty))
| ~ edge(E_9302)
| ~ vertex(head_of(E_9302))
| ~ vertex(tail_of(E_9302)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_87024,plain,
( path(tail_of('#skF_15'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_11'))
| ~ vertex(tail_of('#skF_11')) ),
inference(superposition,[status(thm),theory(equality)],[c_86351,c_86986]) ).
tff(c_87036,plain,
( path(tail_of('#skF_15'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ vertex(head_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_86462,c_86351,c_86463,c_87024]) ).
tff(c_87044,plain,
~ vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_87036]) ).
tff(c_87047,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_86523,c_87044]) ).
tff(c_87054,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_86616,c_87047]) ).
tff(c_87056,plain,
vertex(head_of('#skF_11')),
inference(splitRight,[status(thm)],[c_87036]) ).
tff(c_87797,plain,
! [E2_9431,V1_9434,E1_9430,V2_9433,P_9432] :
( sequential(E1_9430,E2_9431)
| precedes('#skF_5'(E1_9430,E2_9431,P_9432,V2_9433,V1_9434),E2_9431,P_9432)
| ~ precedes(E1_9430,E2_9431,P_9432)
| ~ path(V1_9434,V2_9433,P_9432) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_89159,plain,
! [P_9652,E2_9656,V1_9657,V2_9654,V2_9653,E1_9651,V1_9655] :
( on_path('#skF_5'(E1_9651,E2_9656,P_9652,V2_9654,V1_9657),P_9652)
| ~ path(V1_9655,V2_9653,P_9652)
| sequential(E1_9651,E2_9656)
| ~ precedes(E1_9651,E2_9656,P_9652)
| ~ path(V1_9657,V2_9654,P_9652) ),
inference(resolution,[status(thm)],[c_87797,c_86]) ).
tff(c_89195,plain,
! [E1_9662,E2_9663,V2_9664,V1_9665] :
( on_path('#skF_5'(E1_9662,E2_9663,'#skF_13',V2_9664,V1_9665),'#skF_13')
| sequential(E1_9662,E2_9663)
| ~ precedes(E1_9662,E2_9663,'#skF_13')
| ~ path(V1_9665,V2_9664,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_89159]) ).
tff(c_87663,plain,
! [P_9398,E1_9396,E2_9397,V1_9400,V2_9399] :
( sequential(E1_9396,E2_9397)
| sequential(E1_9396,'#skF_5'(E1_9396,E2_9397,P_9398,V2_9399,V1_9400))
| ~ precedes(E1_9396,E2_9397,P_9398)
| ~ path(V1_9400,V2_9399,P_9398) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_88056,plain,
! [P_9479,V1_9476,V2_9477,E1_9478,E2_9480] :
( ( tail_of('#skF_5'(E1_9478,E2_9480,P_9479,V2_9477,V1_9476)) = head_of(E1_9478) )
| sequential(E1_9478,E2_9480)
| ~ precedes(E1_9478,E2_9480,P_9479)
| ~ path(V1_9476,V2_9477,P_9479) ),
inference(resolution,[status(thm)],[c_87663,c_72]) ).
tff(c_86528,plain,
! [E_9210] :
( in_path(tail_of(E_9210),'#skF_13')
| ~ on_path(E_9210,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_86525]) ).
tff(c_88077,plain,
! [P_9479,V1_9476,V2_9477,E1_9478,E2_9480] :
( in_path(head_of(E1_9478),'#skF_13')
| ~ on_path('#skF_5'(E1_9478,E2_9480,P_9479,V2_9477,V1_9476),'#skF_13')
| sequential(E1_9478,E2_9480)
| ~ precedes(E1_9478,E2_9480,P_9479)
| ~ path(V1_9476,V2_9477,P_9479) ),
inference(superposition,[status(thm),theory(equality)],[c_88056,c_86528]) ).
tff(c_89224,plain,
! [E1_9662,E2_9663,V1_9665,V2_9664] :
( in_path(head_of(E1_9662),'#skF_13')
| sequential(E1_9662,E2_9663)
| ~ precedes(E1_9662,E2_9663,'#skF_13')
| ~ path(V1_9665,V2_9664,'#skF_13') ),
inference(resolution,[status(thm)],[c_89195,c_88077]) ).
tff(c_89230,plain,
! [V1_9665,V2_9664] : ~ path(V1_9665,V2_9664,'#skF_13'),
inference(splitLeft,[status(thm)],[c_89224]) ).
tff(c_89232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89230,c_63959]) ).
tff(c_89241,plain,
! [E1_9669,E2_9670] :
( in_path(head_of(E1_9669),'#skF_13')
| sequential(E1_9669,E2_9670)
| ~ precedes(E1_9669,E2_9670,'#skF_13') ),
inference(splitRight,[status(thm)],[c_89224]) ).
tff(c_89257,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_89241]) ).
tff(c_89258,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_89257]) ).
tff(c_89311,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_89258,c_72]) ).
tff(c_89341,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_89311,c_30]) ).
tff(c_89362,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_87056,c_89311,c_86659,c_89341]) ).
tff(c_89448,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_89362]) ).
tff(c_89458,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_86523,c_89448]) ).
tff(c_89466,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_86632,c_89458]) ).
tff(c_89468,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_89362]) ).
tff(c_41699,plain,
! [V2_4629,E1_4626,V1_4630,E2_4627,P_4628] :
( on_path(E2_4627,P_4628)
| ~ precedes(E1_4626,E2_4627,P_4628)
| ~ path(V1_4630,V2_4629,P_4628) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_41702,plain,
! [V1_4630,V2_4629] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_4630,V2_4629,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_41699]) ).
tff(c_41703,plain,
! [V1_4630,V2_4629] : ~ path(V1_4630,V2_4629,'#skF_13'),
inference(splitLeft,[status(thm)],[c_41702]) ).
tff(c_190,plain,
! [V1_139,V2_140,SP_141] :
( path(V1_139,V2_140,SP_141)
| ~ shortest_path(V1_139,V2_140,SP_141) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_194,plain,
path('#skF_9','#skF_10','#skF_13'),
inference(resolution,[status(thm)],[c_144,c_190]) ).
tff(c_41705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41703,c_194]) ).
tff(c_41706,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_41702]) ).
tff(c_41709,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_41706,c_62]) ).
tff(c_41710,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_41709]) ).
tff(c_41712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41710,c_194]) ).
tff(c_41713,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_41709]) ).
tff(c_312,plain,
! [P_179,E2_178,V2_180,V1_181,E1_177] :
( on_path(E2_178,P_179)
| ~ precedes(E1_177,E2_178,P_179)
| ~ path(V1_181,V2_180,P_179) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_315,plain,
! [V1_181,V2_180] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_181,V2_180,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_312]) ).
tff(c_316,plain,
! [V1_181,V2_180] : ~ path(V1_181,V2_180,'#skF_13'),
inference(splitLeft,[status(thm)],[c_315]) ).
tff(c_318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_316,c_194]) ).
tff(c_319,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_315]) ).
tff(c_322,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_319,c_62]) ).
tff(c_323,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_322]) ).
tff(c_325,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_323,c_194]) ).
tff(c_326,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_322]) ).
tff(c_281,plain,
! [E1_171,E2_172,V2_174,P_173,V1_175] :
( on_path(E1_171,P_173)
| ~ precedes(E1_171,E2_172,P_173)
| ~ path(V1_175,V2_174,P_173) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_284,plain,
! [V1_175,V2_174] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_175,V2_174,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_281]) ).
tff(c_289,plain,
! [V1_175,V2_174] : ~ path(V1_175,V2_174,'#skF_13'),
inference(splitLeft,[status(thm)],[c_284]) ).
tff(c_291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_194]) ).
tff(c_292,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_295,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_292,c_62]) ).
tff(c_296,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_295]) ).
tff(c_298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296,c_194]) ).
tff(c_299,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_295]) ).
tff(c_713,plain,
! [P_252,V1_250,E1_251,V2_249,E2_253] :
( ~ sequential(E1_251,E2_253)
| precedes(E1_251,E2_253,P_252)
| ~ on_path(E2_253,P_252)
| ~ on_path(E1_251,P_252)
| ~ path(V1_250,V2_249,P_252) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_723,plain,
! [E1_254,E2_255] :
( ~ sequential(E1_254,E2_255)
| precedes(E1_254,E2_255,'#skF_13')
| ~ on_path(E2_255,'#skF_13')
| ~ on_path(E1_254,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_713]) ).
tff(c_352,plain,
! [P_188,E1_192,E2_190,V2_191,V1_189] :
( ~ precedes(E2_190,E1_192,P_188)
| ~ precedes(E1_192,E2_190,P_188)
| ~ shortest_path(V1_189,V2_191,P_188) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_355,plain,
! [V1_189,V2_191] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_189,V2_191,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_352]) ).
tff(c_356,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_355]) ).
tff(c_728,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_723,c_356]) ).
tff(c_738,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_292,c_728]) ).
tff(c_744,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_738]) ).
tff(c_747,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_326,c_299,c_744]) ).
tff(c_752,plain,
tail_of('#skF_11') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_747]) ).
tff(c_266,plain,
! [E_166,P_167,V1_168,V2_169] :
( in_path(tail_of(E_166),P_167)
| ~ on_path(E_166,P_167)
| ~ path(V1_168,V2_169,P_167) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_270,plain,
! [E_170] :
( in_path(tail_of(E_170),'#skF_13')
| ~ on_path(E_170,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_266]) ).
tff(c_276,plain,
! [E_170,V1_30,V2_31] :
( vertex(tail_of(E_170))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_170,'#skF_13') ),
inference(resolution,[status(thm)],[c_270,c_68]) ).
tff(c_277,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_276]) ).
tff(c_279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_277,c_194]) ).
tff(c_280,plain,
! [E_170] :
( vertex(tail_of(E_170))
| ~ on_path(E_170,'#skF_13') ),
inference(splitRight,[status(thm)],[c_276]) ).
tff(c_339,plain,
! [E_182,P_183,V1_184,V2_185] :
( in_path(head_of(E_182),P_183)
| ~ on_path(E_182,P_183)
| ~ path(V1_184,V2_185,P_183) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_343,plain,
! [E_186] :
( in_path(head_of(E_186),'#skF_13')
| ~ on_path(E_186,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_339]) ).
tff(c_346,plain,
! [E_186,V1_30,V2_31] :
( vertex(head_of(E_186))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_186,'#skF_13') ),
inference(resolution,[status(thm)],[c_343,c_68]) ).
tff(c_347,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_346]) ).
tff(c_349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_347,c_194]) ).
tff(c_350,plain,
! [E_186] :
( vertex(head_of(E_186))
| ~ on_path(E_186,'#skF_13') ),
inference(splitRight,[status(thm)],[c_346]) ).
tff(c_961,plain,
! [V1_309,E1_305,V2_308,E2_306,P_307] :
( sequential(E1_305,E2_306)
| sequential(E1_305,'#skF_5'(E1_305,E2_306,P_307,V2_308,V1_309))
| ~ precedes(E1_305,E2_306,P_307)
| ~ path(V1_309,V2_308,P_307) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_980,plain,
! [V1_309,E1_305,V2_308,E2_306,P_307] :
( edge('#skF_5'(E1_305,E2_306,P_307,V2_308,V1_309))
| sequential(E1_305,E2_306)
| ~ precedes(E1_305,E2_306,P_307)
| ~ path(V1_309,V2_308,P_307) ),
inference(resolution,[status(thm)],[c_961,c_76]) ).
tff(c_1272,plain,
! [V2_385,E2_386,E1_382,P_384,V1_383] :
( ( tail_of('#skF_5'(E1_382,E2_386,P_384,V2_385,V1_383)) = head_of(E1_382) )
| sequential(E1_382,E2_386)
| ~ precedes(E1_382,E2_386,P_384)
| ~ path(V1_383,V2_385,P_384) ),
inference(resolution,[status(thm)],[c_961,c_72]) ).
tff(c_1910,plain,
! [E2_484,V2_483,V1_487,P_486,E1_485] :
( vertex(head_of(E1_485))
| ~ edge('#skF_5'(E1_485,E2_484,P_486,V2_483,V1_487))
| sequential(E1_485,E2_484)
| ~ precedes(E1_485,E2_484,P_486)
| ~ path(V1_487,V2_483,P_486) ),
inference(superposition,[status(thm),theory(equality)],[c_1272,c_4]) ).
tff(c_1917,plain,
! [P_490,V1_489,E1_488,E2_492,V2_491] :
( vertex(head_of(E1_488))
| sequential(E1_488,E2_492)
| ~ precedes(E1_488,E2_492,P_490)
| ~ path(V1_489,V2_491,P_490) ),
inference(resolution,[status(thm)],[c_980,c_1910]) ).
tff(c_1932,plain,
! [V1_489,V2_491] :
( vertex(head_of('#skF_11'))
| sequential('#skF_11','#skF_12')
| ~ path(V1_489,V2_491,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_1917]) ).
tff(c_1933,plain,
! [V1_489,V2_491] : ~ path(V1_489,V2_491,'#skF_13'),
inference(splitLeft,[status(thm)],[c_1932]) ).
tff(c_1950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1933,c_194]) ).
tff(c_1951,plain,
( sequential('#skF_11','#skF_12')
| vertex(head_of('#skF_11')) ),
inference(splitRight,[status(thm)],[c_1932]) ).
tff(c_1952,plain,
vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_1951]) ).
tff(c_1082,plain,
! [E1_332,P_334,V2_335,E2_333,V1_336] :
( sequential(E1_332,E2_333)
| precedes('#skF_5'(E1_332,E2_333,P_334,V2_335,V1_336),E2_333,P_334)
| ~ precedes(E1_332,E2_333,P_334)
| ~ path(V1_336,V2_335,P_334) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_2424,plain,
! [E1_573,V1_572,V2_571,E2_569,V1_570,P_568,V2_574] :
( on_path('#skF_5'(E1_573,E2_569,P_568,V2_574,V1_570),P_568)
| ~ path(V1_572,V2_571,P_568)
| sequential(E1_573,E2_569)
| ~ precedes(E1_573,E2_569,P_568)
| ~ path(V1_570,V2_574,P_568) ),
inference(resolution,[status(thm)],[c_1082,c_86]) ).
tff(c_2442,plain,
! [E1_573,E2_569,V2_574,V1_570] :
( on_path('#skF_5'(E1_573,E2_569,'#skF_13',V2_574,V1_570),'#skF_13')
| sequential(E1_573,E2_569)
| ~ precedes(E1_573,E2_569,'#skF_13')
| ~ path(V1_570,V2_574,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_2424]) ).
tff(c_269,plain,
! [E_166] :
( in_path(tail_of(E_166),'#skF_13')
| ~ on_path(E_166,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_266]) ).
tff(c_2587,plain,
! [E2_616,V1_619,P_618,E1_617,V2_615] :
( in_path(head_of(E1_617),'#skF_13')
| ~ on_path('#skF_5'(E1_617,E2_616,P_618,V2_615,V1_619),'#skF_13')
| sequential(E1_617,E2_616)
| ~ precedes(E1_617,E2_616,P_618)
| ~ path(V1_619,V2_615,P_618) ),
inference(superposition,[status(thm),theory(equality)],[c_1272,c_269]) ).
tff(c_2594,plain,
! [E1_573,E2_569,V1_570,V2_574] :
( in_path(head_of(E1_573),'#skF_13')
| sequential(E1_573,E2_569)
| ~ precedes(E1_573,E2_569,'#skF_13')
| ~ path(V1_570,V2_574,'#skF_13') ),
inference(resolution,[status(thm)],[c_2442,c_2587]) ).
tff(c_2596,plain,
! [V1_570,V2_574] : ~ path(V1_570,V2_574,'#skF_13'),
inference(splitLeft,[status(thm)],[c_2594]) ).
tff(c_2606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2596,c_194]) ).
tff(c_2608,plain,
! [E1_623,E2_624] :
( in_path(head_of(E1_623),'#skF_13')
| sequential(E1_623,E2_624)
| ~ precedes(E1_623,E2_624,'#skF_13') ),
inference(splitRight,[status(thm)],[c_2594]) ).
tff(c_2624,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_2608]) ).
tff(c_2625,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_2624]) ).
tff(c_2668,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_2625,c_72]) ).
tff(c_2701,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_2668,c_30]) ).
tff(c_2722,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1952,c_2668,c_326,c_2701]) ).
tff(c_2752,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_2722]) ).
tff(c_2762,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_350,c_2752]) ).
tff(c_2770,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_319,c_2762]) ).
tff(c_2772,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_2722]) ).
tff(c_2771,plain,
path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty)),
inference(splitRight,[status(thm)],[c_2722]) ).
tff(c_1003,plain,
! [E_323,V2_324,TP_325] :
( ~ path(head_of(E_323),V2_324,TP_325)
| path(tail_of(E_323),V2_324,path_cons(E_323,TP_325))
| ~ edge(E_323)
| ~ vertex(V2_324)
| ~ vertex(tail_of(E_323)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_1046,plain,
! [E_323,TP_325,V2_324] :
( ( number_of_in(edges,path_cons(E_323,TP_325)) = length_of(path_cons(E_323,TP_325)) )
| ~ path(head_of(E_323),V2_324,TP_325)
| ~ edge(E_323)
| ~ vertex(V2_324)
| ~ vertex(tail_of(E_323)) ),
inference(resolution,[status(thm)],[c_1003,c_128]) ).
tff(c_2783,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_11')) ),
inference(resolution,[status(thm)],[c_2771,c_1046]) ).
tff(c_2817,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ vertex(tail_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2772,c_299,c_2783]) ).
tff(c_3237,plain,
~ vertex(tail_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_2817]) ).
tff(c_3248,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_280,c_3237]) ).
tff(c_3255,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_292,c_3248]) ).
tff(c_3257,plain,
vertex(tail_of('#skF_11')),
inference(splitRight,[status(thm)],[c_2817]) ).
tff(c_556,plain,
! [V1_231,V2_232] :
( ( head_of('#skF_1'(V1_231,V2_232)) = V1_231 )
| ( tail_of('#skF_1'(V1_231,V2_232)) = V1_231 )
| ( V2_232 = V1_231 )
| ~ vertex(V2_232)
| ~ vertex(V1_231) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_20]) ).
tff(c_249,plain,
! [E3_162] :
( ( head_of(E3_162) != head_of('#skF_12') )
| ( tail_of(E3_162) != tail_of('#skF_11') )
| ~ edge(E3_162) ),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_256,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != tail_of('#skF_11') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_249]) ).
tff(c_5435,plain,
! [V1_1045,V2_1046] :
( ( head_of('#skF_1'(V1_1045,V2_1046)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V1_1045 )
| ( V2_1046 = V1_1045 )
| ~ vertex(V2_1046)
| ~ vertex(V1_1045)
| ( head_of('#skF_1'(V1_1045,V2_1046)) = V1_1045 )
| ( V2_1046 = V1_1045 )
| ~ vertex(V2_1046)
| ~ vertex(V1_1045) ),
inference(superposition,[status(thm),theory(equality)],[c_556,c_256]) ).
tff(c_5441,plain,
! [V2_4,V1_3] :
( ( head_of('#skF_12') != V2_4 )
| ( tail_of('#skF_11') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_5435]) ).
tff(c_18987,plain,
! [V2_4,V1_3] :
( ( head_of('#skF_12') != V2_4 )
| ( tail_of('#skF_11') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 ) ),
inference(factorization,[status(thm),theory(equality)],[c_5441]) ).
tff(c_19062,plain,
! [V2_2255,V1_2256] :
( ( head_of('#skF_12') != V2_2255 )
| ( tail_of('#skF_11') != V1_2256 )
| ( V2_2255 = V1_2256 )
| ~ vertex(V2_2255)
| ~ vertex(V1_2256)
| ( head_of('#skF_1'(V1_2256,V2_2255)) = V1_2256 ) ),
inference(factorization,[status(thm),theory(equality)],[c_5441]) ).
tff(c_166,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( tail_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_152,plain,
! [E3_100] :
( edge('#skF_15')
| ( tail_of('#skF_11') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_240,plain,
! [E3_161] :
( ( tail_of('#skF_11') != head_of(E3_161) )
| ( tail_of(E3_161) != head_of('#skF_12') )
| ~ edge(E3_161) ),
inference(splitLeft,[status(thm)],[c_152]) ).
tff(c_823,plain,
! [V1_276,V2_277] :
( ( head_of('#skF_1'(V1_276,V2_277)) != tail_of('#skF_11') )
| ( tail_of('#skF_1'(V1_276,V2_277)) != head_of('#skF_12') )
| ( V2_277 = V1_276 )
| ~ vertex(V2_277)
| ~ vertex(V1_276) ),
inference(resolution,[status(thm)],[c_170,c_240]) ).
tff(c_5748,plain,
! [V1_1056,V2_1057] :
( ( head_of('#skF_1'(V1_1056,V2_1057)) != tail_of('#skF_11') )
| ( head_of('#skF_12') != V2_1057 )
| ( V2_1057 = V1_1056 )
| ~ vertex(V2_1057)
| ~ vertex(V1_1056)
| ( tail_of('#skF_1'(V1_1056,V2_1057)) = V1_1056 )
| ( V2_1057 = V1_1056 )
| ~ vertex(V2_1057)
| ~ vertex(V1_1056) ),
inference(superposition,[status(thm),theory(equality)],[c_166,c_823]) ).
tff(c_223,plain,
! [V1_156,V2_157] :
( edge('#skF_1'(V1_156,V2_157))
| ( V2_157 = V1_156 )
| ~ vertex(V2_157)
| ~ vertex(V1_156) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_227,plain,
! [V1_156,V2_157] :
( ( tail_of('#skF_1'(V1_156,V2_157)) != head_of('#skF_1'(V1_156,V2_157)) )
| ( V2_157 = V1_156 )
| ~ vertex(V2_157)
| ~ vertex(V1_156) ),
inference(resolution,[status(thm)],[c_223,c_2]) ).
tff(c_5837,plain,
! [V1_1056,V2_1057] :
( ( head_of('#skF_1'(V1_1056,V2_1057)) != V1_1056 )
| ( V2_1057 = V1_1056 )
| ~ vertex(V2_1057)
| ~ vertex(V1_1056)
| ( head_of('#skF_1'(V1_1056,V2_1057)) != tail_of('#skF_11') )
| ( head_of('#skF_12') != V2_1057 )
| ( V2_1057 = V1_1056 )
| ~ vertex(V2_1057)
| ~ vertex(V1_1056)
| ( V2_1057 = V1_1056 )
| ~ vertex(V2_1057)
| ~ vertex(V1_1056) ),
inference(superposition,[status(thm),theory(equality)],[c_5748,c_227]) ).
tff(c_19224,plain,
! [V1_2257,V2_2258] :
( ( head_of('#skF_1'(V1_2257,V2_2258)) != tail_of('#skF_11') )
| ( head_of('#skF_12') != V2_2258 )
| ( tail_of('#skF_11') != V1_2257 )
| ( V2_2258 = V1_2257 )
| ~ vertex(V2_2258)
| ~ vertex(V1_2257) ),
inference(superposition,[status(thm),theory(equality)],[c_19062,c_5837]) ).
tff(c_19324,plain,
! [V1_2270,V2_2271] :
( ( tail_of('#skF_11') != V1_2270 )
| ( head_of('#skF_12') != V2_2271 )
| ( tail_of('#skF_11') != V1_2270 )
| ( V2_2271 = V1_2270 )
| ~ vertex(V2_2271)
| ~ vertex(V1_2270)
| ( head_of('#skF_1'(V1_2270,V2_2271)) = V2_2271 )
| ( V2_2271 = V1_2270 )
| ~ vertex(V2_2271)
| ~ vertex(V1_2270) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_19224]) ).
tff(c_476,plain,
! [V1_229,V2_230] :
( ( tail_of('#skF_1'(V1_229,V2_230)) = V2_230 )
| ( tail_of('#skF_1'(V1_229,V2_230)) = V1_229 )
| ( V2_230 = V1_229 )
| ~ vertex(V2_230)
| ~ vertex(V1_229) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_521,plain,
! [V1_229,V2_230] :
( ( head_of('#skF_1'(V1_229,V2_230)) != V1_229 )
| ( V2_230 = V1_229 )
| ~ vertex(V2_230)
| ~ vertex(V1_229)
| ( tail_of('#skF_1'(V1_229,V2_230)) = V2_230 )
| ( V2_230 = V1_229 )
| ~ vertex(V2_230)
| ~ vertex(V1_229) ),
inference(superposition,[status(thm),theory(equality)],[c_476,c_227]) ).
tff(c_2192,plain,
! [V1_533,V2_534] :
( ( head_of('#skF_1'(V1_533,V2_534)) != V2_534 )
| ( V2_534 = V1_533 )
| ~ vertex(V2_534)
| ~ vertex(V1_533)
| ( tail_of('#skF_1'(V1_533,V2_534)) = V1_533 )
| ( V2_534 = V1_533 )
| ~ vertex(V2_534)
| ~ vertex(V1_533) ),
inference(superposition,[status(thm),theory(equality)],[c_476,c_227]) ).
tff(c_2278,plain,
! [V1_538,V2_539] :
( ( tail_of('#skF_1'(V1_538,V2_539)) != V2_539 )
| ( head_of('#skF_1'(V1_538,V2_539)) != V1_538 )
| ( head_of('#skF_1'(V1_538,V2_539)) != V2_539 )
| ( V2_539 = V1_538 )
| ~ vertex(V2_539)
| ~ vertex(V1_538) ),
inference(superposition,[status(thm),theory(equality)],[c_2192,c_168]) ).
tff(c_2299,plain,
! [V1_229,V2_230] :
( ( head_of('#skF_1'(V1_229,V2_230)) != V2_230 )
| ( head_of('#skF_1'(V1_229,V2_230)) != V1_229 )
| ( V2_230 = V1_229 )
| ~ vertex(V2_230)
| ~ vertex(V1_229) ),
inference(superposition,[status(thm),theory(equality)],[c_521,c_2278]) ).
tff(c_19491,plain,
! [V1_2272,V2_2273] :
( ( head_of('#skF_1'(V1_2272,V2_2273)) != V1_2272 )
| ( head_of('#skF_12') != V2_2273 )
| ( tail_of('#skF_11') != V1_2272 )
| ( V2_2273 = V1_2272 )
| ~ vertex(V2_2273)
| ~ vertex(V1_2272) ),
inference(superposition,[status(thm),theory(equality)],[c_19324,c_2299]) ).
tff(c_19510,plain,
! [V2_2274,V1_2275] :
( ( head_of('#skF_12') != V2_2274 )
| ( tail_of('#skF_11') != V1_2275 )
| ( V2_2274 = V1_2275 )
| ~ vertex(V2_2274)
| ~ vertex(V1_2275) ),
inference(superposition,[status(thm),theory(equality)],[c_18987,c_19491]) ).
tff(c_19624,plain,
! [V1_2281] :
( ( tail_of('#skF_11') != V1_2281 )
| ( head_of('#skF_12') = V1_2281 )
| ~ vertex(V1_2281) ),
inference(resolution,[status(thm)],[c_2772,c_19510]) ).
tff(c_19696,plain,
tail_of('#skF_11') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_3257,c_19624]) ).
tff(c_19762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_752,c_19696]) ).
tff(c_19763,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_747]) ).
tff(c_210,plain,
! [E3_99] :
( ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_336,plain,
tail_of('#skF_11') != tail_of('#skF_12'),
inference(resolution,[status(thm)],[c_326,c_210]) ).
tff(c_19780,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19763,c_336]) ).
tff(c_19781,plain,
! [V1_189,V2_191] : ~ shortest_path(V1_189,V2_191,'#skF_13'),
inference(splitRight,[status(thm)],[c_355]) ).
tff(c_19784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19781,c_144]) ).
tff(c_19785,plain,
tail_of('#skF_11') = head_of('#skF_14'),
inference(splitRight,[status(thm)],[c_154]) ).
tff(c_19790,plain,
( vertex(head_of('#skF_14'))
| ~ edge('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_19785,c_4]) ).
tff(c_19794,plain,
~ edge('#skF_11'),
inference(splitLeft,[status(thm)],[c_19790]) ).
tff(c_19855,plain,
! [E_2295,P_2296,V1_2297,V2_2298] :
( in_path(tail_of(E_2295),P_2296)
| ~ on_path(E_2295,P_2296)
| ~ path(V1_2297,V2_2298,P_2296) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_19859,plain,
! [E_2299] :
( in_path(tail_of(E_2299),'#skF_13')
| ~ on_path(E_2299,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_19855]) ).
tff(c_19867,plain,
( in_path(head_of('#skF_14'),'#skF_13')
| ~ on_path('#skF_11','#skF_13') ),
inference(superposition,[status(thm),theory(equality)],[c_19785,c_19859]) ).
tff(c_19869,plain,
~ on_path('#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_19867]) ).
tff(c_19882,plain,
! [P_2303,E2_2302,V2_2304,V1_2305,E1_2301] :
( on_path(E1_2301,P_2303)
| ~ precedes(E1_2301,E2_2302,P_2303)
| ~ path(V1_2305,V2_2304,P_2303) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_19884,plain,
! [V1_2305,V2_2304] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_2305,V2_2304,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_19882]) ).
tff(c_19887,plain,
! [V1_2305,V2_2304] : ~ path(V1_2305,V2_2304,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_19869,c_19884]) ).
tff(c_19889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19887,c_194]) ).
tff(c_19891,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_19867]) ).
tff(c_19897,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_19891,c_62]) ).
tff(c_19900,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_19794,c_19897]) ).
tff(c_19905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19900,c_194]) ).
tff(c_19907,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_19790]) ).
tff(c_41670,plain,
! [E2_4611,V2_4613,V1_4614,E1_4610,P_4612] :
( on_path(E1_4610,P_4612)
| ~ precedes(E1_4610,E2_4611,P_4612)
| ~ path(V1_4614,V2_4613,P_4612) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_41673,plain,
! [V1_4614,V2_4613] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_4614,V2_4613,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_41670]) ).
tff(c_41674,plain,
! [V1_4614,V2_4613] : ~ path(V1_4614,V2_4613,'#skF_13'),
inference(splitLeft,[status(thm)],[c_41673]) ).
tff(c_41676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41674,c_194]) ).
tff(c_41677,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_41673]) ).
tff(c_42309,plain,
! [V2_4719,E2_4723,P_4722,E1_4721,V1_4720] :
( ~ sequential(E1_4721,E2_4723)
| precedes(E1_4721,E2_4723,P_4722)
| ~ on_path(E2_4723,P_4722)
| ~ on_path(E1_4721,P_4722)
| ~ path(V1_4720,V2_4719,P_4722) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_42322,plain,
! [E1_4724,E2_4725] :
( ~ sequential(E1_4724,E2_4725)
| precedes(E1_4724,E2_4725,'#skF_13')
| ~ on_path(E2_4725,'#skF_13')
| ~ on_path(E1_4724,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_42309]) ).
tff(c_41779,plain,
! [V2_4648,E1_4649,E2_4647,V1_4646,P_4645] :
( ~ precedes(E2_4647,E1_4649,P_4645)
| ~ precedes(E1_4649,E2_4647,P_4645)
| ~ shortest_path(V1_4646,V2_4648,P_4645) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_41782,plain,
! [V1_4646,V2_4648] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_4646,V2_4648,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_41779]) ).
tff(c_41783,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_41782]) ).
tff(c_42327,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_42322,c_41783]) ).
tff(c_42337,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_41706,c_41677,c_42327]) ).
tff(c_42343,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_42337]) ).
tff(c_42346,plain,
( ( head_of('#skF_14') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41713,c_19907,c_19785,c_42343]) ).
tff(c_42347,plain,
head_of('#skF_14') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_42346]) ).
tff(c_19906,plain,
vertex(head_of('#skF_14')),
inference(splitRight,[status(thm)],[c_19790]) ).
tff(c_41682,plain,
! [E_4615,P_4616,V1_4617,V2_4618] :
( in_path(head_of(E_4615),P_4616)
| ~ on_path(E_4615,P_4616)
| ~ path(V1_4617,V2_4618,P_4616) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_41686,plain,
! [E_4619] :
( in_path(head_of(E_4619),'#skF_13')
| ~ on_path(E_4619,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_41682]) ).
tff(c_41689,plain,
! [E_4619,V1_30,V2_31] :
( vertex(head_of(E_4619))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_4619,'#skF_13') ),
inference(resolution,[status(thm)],[c_41686,c_68]) ).
tff(c_41690,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_41689]) ).
tff(c_41696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41690,c_194]) ).
tff(c_41697,plain,
! [E_4619] :
( vertex(head_of(E_4619))
| ~ on_path(E_4619,'#skF_13') ),
inference(splitRight,[status(thm)],[c_41689]) ).
tff(c_41826,plain,
! [E_4678] :
( path(tail_of(E_4678),head_of(E_4678),path_cons(E_4678,empty))
| ~ edge(E_4678)
| ~ vertex(head_of(E_4678))
| ~ vertex(tail_of(E_4678)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_41852,plain,
( path(head_of('#skF_14'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_11'))
| ~ vertex(tail_of('#skF_11')) ),
inference(superposition,[status(thm),theory(equality)],[c_19785,c_41826]) ).
tff(c_41863,plain,
( path(head_of('#skF_14'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ vertex(head_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_19906,c_19785,c_19907,c_41852]) ).
tff(c_41864,plain,
~ vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_41863]) ).
tff(c_41867,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_41697,c_41864]) ).
tff(c_41874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41677,c_41867]) ).
tff(c_41876,plain,
vertex(head_of('#skF_11')),
inference(splitRight,[status(thm)],[c_41863]) ).
tff(c_42916,plain,
! [P_4853,E2_4852,V1_4855,V2_4854,E1_4851] :
( sequential(E1_4851,E2_4852)
| precedes('#skF_5'(E1_4851,E2_4852,P_4853,V2_4854,V1_4855),E2_4852,P_4853)
| ~ precedes(E1_4851,E2_4852,P_4853)
| ~ path(V1_4855,V2_4854,P_4853) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_44387,plain,
! [V2_5070,V1_5073,V2_5071,V1_5072,E1_5067,E2_5069,P_5068] :
( on_path('#skF_5'(E1_5067,E2_5069,P_5068,V2_5071,V1_5073),P_5068)
| ~ path(V1_5072,V2_5070,P_5068)
| sequential(E1_5067,E2_5069)
| ~ precedes(E1_5067,E2_5069,P_5068)
| ~ path(V1_5073,V2_5071,P_5068) ),
inference(resolution,[status(thm)],[c_42916,c_86]) ).
tff(c_44411,plain,
! [E1_5067,E2_5069,V2_5071,V1_5073] :
( on_path('#skF_5'(E1_5067,E2_5069,'#skF_13',V2_5071,V1_5073),'#skF_13')
| sequential(E1_5067,E2_5069)
| ~ precedes(E1_5067,E2_5069,'#skF_13')
| ~ path(V1_5073,V2_5071,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_44387]) ).
tff(c_42629,plain,
! [V1_4788,E1_4784,P_4786,E2_4785,V2_4787] :
( sequential(E1_4784,E2_4785)
| sequential(E1_4784,'#skF_5'(E1_4784,E2_4785,P_4786,V2_4787,V1_4788))
| ~ precedes(E1_4784,E2_4785,P_4786)
| ~ path(V1_4788,V2_4787,P_4786) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_42975,plain,
! [E1_4861,E2_4863,V2_4859,V1_4862,P_4860] :
( ( tail_of('#skF_5'(E1_4861,E2_4863,P_4860,V2_4859,V1_4862)) = head_of(E1_4861) )
| sequential(E1_4861,E2_4863)
| ~ precedes(E1_4861,E2_4863,P_4860)
| ~ path(V1_4862,V2_4859,P_4860) ),
inference(resolution,[status(thm)],[c_42629,c_72]) ).
tff(c_41734,plain,
! [E_4634,P_4635,V1_4636,V2_4637] :
( in_path(tail_of(E_4634),P_4635)
| ~ on_path(E_4634,P_4635)
| ~ path(V1_4636,V2_4637,P_4635) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_41737,plain,
! [E_4634] :
( in_path(tail_of(E_4634),'#skF_13')
| ~ on_path(E_4634,'#skF_13') ),
inference(resolution,[status(thm)],[c_194,c_41734]) ).
tff(c_44536,plain,
! [V2_5102,P_5105,E2_5104,E1_5106,V1_5103] :
( in_path(head_of(E1_5106),'#skF_13')
| ~ on_path('#skF_5'(E1_5106,E2_5104,P_5105,V2_5102,V1_5103),'#skF_13')
| sequential(E1_5106,E2_5104)
| ~ precedes(E1_5106,E2_5104,P_5105)
| ~ path(V1_5103,V2_5102,P_5105) ),
inference(superposition,[status(thm),theory(equality)],[c_42975,c_41737]) ).
tff(c_44543,plain,
! [E1_5067,E2_5069,V1_5073,V2_5071] :
( in_path(head_of(E1_5067),'#skF_13')
| sequential(E1_5067,E2_5069)
| ~ precedes(E1_5067,E2_5069,'#skF_13')
| ~ path(V1_5073,V2_5071,'#skF_13') ),
inference(resolution,[status(thm)],[c_44411,c_44536]) ).
tff(c_44545,plain,
! [V1_5073,V2_5071] : ~ path(V1_5073,V2_5071,'#skF_13'),
inference(splitLeft,[status(thm)],[c_44543]) ).
tff(c_44547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44545,c_194]) ).
tff(c_44549,plain,
! [E1_5107,E2_5108] :
( in_path(head_of(E1_5107),'#skF_13')
| sequential(E1_5107,E2_5108)
| ~ precedes(E1_5107,E2_5108,'#skF_13') ),
inference(splitRight,[status(thm)],[c_44543]) ).
tff(c_44565,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_44549]) ).
tff(c_44583,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_44565]) ).
tff(c_44636,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_44583,c_72]) ).
tff(c_44672,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_44636,c_30]) ).
tff(c_44693,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_41876,c_44636,c_41713,c_44672]) ).
tff(c_44769,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_44693]) ).
tff(c_44775,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_41697,c_44769]) ).
tff(c_44783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41706,c_44775]) ).
tff(c_44785,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_44693]) ).
tff(c_42009,plain,
! [V1_4685,V2_4686] :
( ( tail_of('#skF_1'(V1_4685,V2_4686)) = V2_4686 )
| ( head_of('#skF_1'(V1_4685,V2_4686)) = V2_4686 )
| ( V2_4686 = V1_4685 )
| ~ vertex(V2_4686)
| ~ vertex(V1_4685) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_24]) ).
tff(c_187,plain,
! [E3_100] :
( ( tail_of('#skF_11') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(splitLeft,[status(thm)],[c_152]) ).
tff(c_41655,plain,
! [E3_4609] :
( ( head_of(E3_4609) != head_of('#skF_14') )
| ( tail_of(E3_4609) != head_of('#skF_12') )
| ~ edge(E3_4609) ),
inference(demodulation,[status(thm),theory(equality)],[c_19785,c_187]) ).
tff(c_41665,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_14') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_41655]) ).
tff(c_49061,plain,
! [V1_5648,V2_5649] :
( ( head_of('#skF_1'(V1_5648,V2_5649)) != head_of('#skF_14') )
| ( head_of('#skF_12') != V2_5649 )
| ( V2_5649 = V1_5648 )
| ~ vertex(V2_5649)
| ~ vertex(V1_5648)
| ( head_of('#skF_1'(V1_5648,V2_5649)) = V2_5649 )
| ( V2_5649 = V1_5648 )
| ~ vertex(V2_5649)
| ~ vertex(V1_5648) ),
inference(superposition,[status(thm),theory(equality)],[c_42009,c_41665]) ).
tff(c_49064,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_14') != V1_3 )
| ( head_of('#skF_12') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_49061]) ).
tff(c_63103,plain,
! [V1_6865,V2_6866] :
( ( head_of('#skF_14') != V1_6865 )
| ( head_of('#skF_12') != V2_6866 )
| ( V2_6866 = V1_6865 )
| ~ vertex(V2_6866)
| ~ vertex(V1_6865)
| ( head_of('#skF_1'(V1_6865,V2_6866)) = V2_6866 ) ),
inference(factorization,[status(thm),theory(equality)],[c_49064]) ).
tff(c_42108,plain,
! [V1_4698,V2_4699] :
( ( tail_of('#skF_1'(V1_4698,V2_4699)) = V2_4699 )
| ( tail_of('#skF_1'(V1_4698,V2_4699)) = V1_4698 )
| ( V2_4699 = V1_4698 )
| ~ vertex(V2_4699)
| ~ vertex(V1_4698) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_158,plain,
! [E3_99] :
( edge('#skF_14')
| ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_177,plain,
! [E3_99] :
( ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(splitLeft,[status(thm)],[c_158]) ).
tff(c_41639,plain,
! [E3_4608] :
( ( head_of(E3_4608) != head_of('#skF_12') )
| ( tail_of(E3_4608) != head_of('#skF_14') )
| ~ edge(E3_4608) ),
inference(demodulation,[status(thm),theory(equality)],[c_19785,c_177]) ).
tff(c_41649,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_14') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_41639]) ).
tff(c_49381,plain,
! [V1_5656,V2_5657] :
( ( head_of('#skF_1'(V1_5656,V2_5657)) != head_of('#skF_12') )
| ( head_of('#skF_14') != V1_5656 )
| ( V2_5657 = V1_5656 )
| ~ vertex(V2_5657)
| ~ vertex(V1_5656)
| ( tail_of('#skF_1'(V1_5656,V2_5657)) = V2_5657 )
| ( V2_5657 = V1_5656 )
| ~ vertex(V2_5657)
| ~ vertex(V1_5656) ),
inference(superposition,[status(thm),theory(equality)],[c_42108,c_41649]) ).
tff(c_41621,plain,
! [V1_4603,V2_4604] :
( edge('#skF_1'(V1_4603,V2_4604))
| ( V2_4604 = V1_4603 )
| ~ vertex(V2_4604)
| ~ vertex(V1_4603) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_41625,plain,
! [V1_4603,V2_4604] :
( ( tail_of('#skF_1'(V1_4603,V2_4604)) != head_of('#skF_1'(V1_4603,V2_4604)) )
| ( V2_4604 = V1_4603 )
| ~ vertex(V2_4604)
| ~ vertex(V1_4603) ),
inference(resolution,[status(thm)],[c_41621,c_2]) ).
tff(c_49480,plain,
! [V1_5656,V2_5657] :
( ( head_of('#skF_1'(V1_5656,V2_5657)) != V2_5657 )
| ( V2_5657 = V1_5656 )
| ~ vertex(V2_5657)
| ~ vertex(V1_5656)
| ( head_of('#skF_1'(V1_5656,V2_5657)) != head_of('#skF_12') )
| ( head_of('#skF_14') != V1_5656 )
| ( V2_5657 = V1_5656 )
| ~ vertex(V2_5657)
| ~ vertex(V1_5656)
| ( V2_5657 = V1_5656 )
| ~ vertex(V2_5657)
| ~ vertex(V1_5656) ),
inference(superposition,[status(thm),theory(equality)],[c_49381,c_41625]) ).
tff(c_63330,plain,
! [V1_6874,V2_6875] :
( ( head_of('#skF_1'(V1_6874,V2_6875)) != head_of('#skF_12') )
| ( head_of('#skF_14') != V1_6874 )
| ( head_of('#skF_12') != V2_6875 )
| ( V2_6875 = V1_6874 )
| ~ vertex(V2_6875)
| ~ vertex(V1_6874) ),
inference(superposition,[status(thm),theory(equality)],[c_63103,c_49480]) ).
tff(c_63455,plain,
! [V2_6889,V1_6890] :
( ( head_of('#skF_12') != V2_6889 )
| ( head_of('#skF_14') != V1_6890 )
| ( head_of('#skF_12') != V2_6889 )
| ( V2_6889 = V1_6890 )
| ~ vertex(V2_6889)
| ~ vertex(V1_6890)
| ( head_of('#skF_1'(V1_6890,V2_6889)) = V1_6890 )
| ( V2_6889 = V1_6890 )
| ~ vertex(V2_6889)
| ~ vertex(V1_6890) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_63330]) ).
tff(c_42165,plain,
! [V1_4698,V2_4699] :
( ( head_of('#skF_1'(V1_4698,V2_4699)) != V1_4698 )
| ( V2_4699 = V1_4698 )
| ~ vertex(V2_4699)
| ~ vertex(V1_4698)
| ( tail_of('#skF_1'(V1_4698,V2_4699)) = V2_4699 )
| ( V2_4699 = V1_4698 )
| ~ vertex(V2_4699)
| ~ vertex(V1_4698) ),
inference(superposition,[status(thm),theory(equality)],[c_42108,c_41625]) ).
tff(c_44092,plain,
! [V1_5019,V2_5020] :
( ( head_of('#skF_1'(V1_5019,V2_5020)) != V2_5020 )
| ( V2_5020 = V1_5019 )
| ~ vertex(V2_5020)
| ~ vertex(V1_5019)
| ( tail_of('#skF_1'(V1_5019,V2_5020)) = V1_5019 )
| ( V2_5020 = V1_5019 )
| ~ vertex(V2_5020)
| ~ vertex(V1_5019) ),
inference(superposition,[status(thm),theory(equality)],[c_42108,c_41625]) ).
tff(c_44174,plain,
! [V1_5021,V2_5022] :
( ( tail_of('#skF_1'(V1_5021,V2_5022)) != V2_5022 )
| ( head_of('#skF_1'(V1_5021,V2_5022)) != V1_5021 )
| ( head_of('#skF_1'(V1_5021,V2_5022)) != V2_5022 )
| ( V2_5022 = V1_5021 )
| ~ vertex(V2_5022)
| ~ vertex(V1_5021) ),
inference(superposition,[status(thm),theory(equality)],[c_44092,c_168]) ).
tff(c_44195,plain,
! [V1_4698,V2_4699] :
( ( head_of('#skF_1'(V1_4698,V2_4699)) != V2_4699 )
| ( head_of('#skF_1'(V1_4698,V2_4699)) != V1_4698 )
| ( V2_4699 = V1_4698 )
| ~ vertex(V2_4699)
| ~ vertex(V1_4698) ),
inference(superposition,[status(thm),theory(equality)],[c_42165,c_44174]) ).
tff(c_63260,plain,
! [V1_6865,V2_6866] :
( ( head_of('#skF_1'(V1_6865,V2_6866)) != V1_6865 )
| ( head_of('#skF_14') != V1_6865 )
| ( head_of('#skF_12') != V2_6866 )
| ( V2_6866 = V1_6865 )
| ~ vertex(V2_6866)
| ~ vertex(V1_6865) ),
inference(superposition,[status(thm),theory(equality)],[c_63103,c_44195]) ).
tff(c_63628,plain,
! [V1_6891,V2_6892] :
( ( head_of('#skF_14') != V1_6891 )
| ( head_of('#skF_12') != V2_6892 )
| ( V2_6892 = V1_6891 )
| ~ vertex(V2_6892)
| ~ vertex(V1_6891) ),
inference(superposition,[status(thm),theory(equality)],[c_63455,c_63260]) ).
tff(c_63753,plain,
! [V1_6893] :
( ( head_of('#skF_14') != V1_6893 )
| ( head_of('#skF_12') = V1_6893 )
| ~ vertex(V1_6893) ),
inference(resolution,[status(thm)],[c_44785,c_63628]) ).
tff(c_63864,plain,
head_of('#skF_14') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_19906,c_63753]) ).
tff(c_63917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42347,c_63864]) ).
tff(c_63918,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_42346]) ).
tff(c_41645,plain,
( ( head_of('#skF_11') != head_of('#skF_12') )
| ( tail_of('#skF_11') != head_of('#skF_14') ) ),
inference(resolution,[status(thm)],[c_19907,c_41639]) ).
tff(c_41652,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_19785,c_41645]) ).
tff(c_63943,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_63918,c_41652]) ).
tff(c_63944,plain,
! [V1_4646,V2_4648] : ~ shortest_path(V1_4646,V2_4648,'#skF_13'),
inference(splitRight,[status(thm)],[c_41782]) ).
tff(c_63947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63944,c_144]) ).
tff(c_63948,plain,
edge('#skF_15'),
inference(splitRight,[status(thm)],[c_152]) ).
tff(c_86472,plain,
! [E3_9202] :
( ( head_of(E3_9202) != head_of('#skF_12') )
| ( tail_of(E3_9202) != tail_of('#skF_15') )
| ~ edge(E3_9202) ),
inference(demodulation,[status(thm),theory(equality)],[c_86351,c_177]) ).
tff(c_86490,plain,
head_of('#skF_15') != head_of('#skF_12'),
inference(resolution,[status(thm)],[c_63948,c_86472]) ).
tff(c_148,plain,
! [E3_100] :
( ( head_of('#skF_15') = head_of('#skF_12') )
| ( tail_of('#skF_11') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_86633,plain,
! [E3_100] :
( ( head_of('#skF_15') = head_of('#skF_12') )
| ( tail_of('#skF_15') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(demodulation,[status(thm),theory(equality)],[c_86351,c_148]) ).
tff(c_86635,plain,
! [E3_9235] :
( ( tail_of('#skF_15') != head_of(E3_9235) )
| ( tail_of(E3_9235) != head_of('#skF_12') )
| ~ edge(E3_9235) ),
inference(negUnitSimplification,[status(thm)],[c_86490,c_86633]) ).
tff(c_87512,plain,
! [V1_9367,V2_9368] :
( ( head_of('#skF_1'(V1_9367,V2_9368)) != tail_of('#skF_15') )
| ( tail_of('#skF_1'(V1_9367,V2_9368)) != head_of('#skF_12') )
| ( V2_9368 = V1_9367 )
| ~ vertex(V2_9368)
| ~ vertex(V1_9367) ),
inference(resolution,[status(thm)],[c_170,c_86635]) ).
tff(c_93064,plain,
! [V1_10184,V2_10185] :
( ( head_of('#skF_1'(V1_10184,V2_10185)) != tail_of('#skF_15') )
| ( head_of('#skF_12') != V1_10184 )
| ( V2_10185 = V1_10184 )
| ~ vertex(V2_10185)
| ~ vertex(V1_10184)
| ( head_of('#skF_1'(V1_10184,V2_10185)) = V1_10184 )
| ( V2_10185 = V1_10184 )
| ~ vertex(V2_10185)
| ~ vertex(V1_10184) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_87512]) ).
tff(c_93070,plain,
! [V2_4,V1_3] :
( ( tail_of('#skF_15') != V2_4 )
| ( head_of('#skF_12') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_93064]) ).
tff(c_111066,plain,
! [V2_11646,V1_11647] :
( ( tail_of('#skF_15') != V2_11646 )
| ( head_of('#skF_12') != V1_11647 )
| ( V2_11646 = V1_11647 )
| ~ vertex(V2_11646)
| ~ vertex(V1_11647)
| ( head_of('#skF_1'(V1_11647,V2_11646)) = V1_11647 ) ),
inference(factorization,[status(thm),theory(equality)],[c_93070]) ).
tff(c_86828,plain,
! [V1_9296,V2_9297] :
( ( tail_of('#skF_1'(V1_9296,V2_9297)) = V2_9297 )
| ( head_of('#skF_1'(V1_9296,V2_9297)) = V2_9297 )
| ( V2_9297 = V1_9296 )
| ~ vertex(V2_9297)
| ~ vertex(V1_9296) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_24]) ).
tff(c_86488,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != tail_of('#skF_15') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_86472]) ).
tff(c_92742,plain,
! [V1_10173,V2_10174] :
( ( head_of('#skF_1'(V1_10173,V2_10174)) != head_of('#skF_12') )
| ( tail_of('#skF_15') != V2_10174 )
| ( V2_10174 = V1_10173 )
| ~ vertex(V2_10174)
| ~ vertex(V1_10173)
| ( head_of('#skF_1'(V1_10173,V2_10174)) = V2_10174 )
| ( V2_10174 = V1_10173 )
| ~ vertex(V2_10174)
| ~ vertex(V1_10173) ),
inference(superposition,[status(thm),theory(equality)],[c_86828,c_86488]) ).
tff(c_92745,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_12') != V1_3 )
| ( tail_of('#skF_15') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_92742]) ).
tff(c_107952,plain,
! [V1_11466,V2_11467] :
( ( head_of('#skF_12') != V1_11466 )
| ( tail_of('#skF_15') != V2_11467 )
| ( V2_11467 = V1_11466 )
| ~ vertex(V2_11467)
| ~ vertex(V1_11466)
| ( head_of('#skF_1'(V1_11466,V2_11467)) = V2_11467 ) ),
inference(factorization,[status(thm),theory(equality)],[c_92745]) ).
tff(c_86868,plain,
! [V1_9298,V2_9299] :
( ( tail_of('#skF_1'(V1_9298,V2_9299)) = V2_9299 )
| ( tail_of('#skF_1'(V1_9298,V2_9299)) = V1_9298 )
| ( V2_9299 = V1_9298 )
| ~ vertex(V2_9299)
| ~ vertex(V1_9298) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_89008,plain,
! [V1_9625,V2_9626] :
( ( head_of('#skF_1'(V1_9625,V2_9626)) != V1_9625 )
| ( V2_9626 = V1_9625 )
| ~ vertex(V2_9626)
| ~ vertex(V1_9625)
| ( tail_of('#skF_1'(V1_9625,V2_9626)) = V2_9626 )
| ( V2_9626 = V1_9625 )
| ~ vertex(V2_9626)
| ~ vertex(V1_9625) ),
inference(superposition,[status(thm),theory(equality)],[c_86868,c_64004]) ).
tff(c_88906,plain,
! [V1_9621,V2_9622] :
( ( head_of('#skF_1'(V1_9621,V2_9622)) != V2_9622 )
| ( V2_9622 = V1_9621 )
| ~ vertex(V2_9622)
| ~ vertex(V1_9621)
| ( tail_of('#skF_1'(V1_9621,V2_9622)) = V1_9621 )
| ( V2_9622 = V1_9621 )
| ~ vertex(V2_9622)
| ~ vertex(V1_9621) ),
inference(superposition,[status(thm),theory(equality)],[c_86868,c_64004]) ).
tff(c_88976,plain,
! [V1_9621,V2_9622] :
( ( tail_of('#skF_1'(V1_9621,V2_9622)) != V2_9622 )
| ( head_of('#skF_1'(V1_9621,V2_9622)) != V1_9621 )
| ( head_of('#skF_1'(V1_9621,V2_9622)) != V2_9622 )
| ( V2_9622 = V1_9621 )
| ~ vertex(V2_9622)
| ~ vertex(V1_9621) ),
inference(superposition,[status(thm),theory(equality)],[c_88906,c_168]) ).
tff(c_89085,plain,
! [V1_9625,V2_9626] :
( ( head_of('#skF_1'(V1_9625,V2_9626)) != V2_9626 )
| ( head_of('#skF_1'(V1_9625,V2_9626)) != V1_9625 )
| ( V2_9626 = V1_9625 )
| ~ vertex(V2_9626)
| ~ vertex(V1_9625) ),
inference(superposition,[status(thm),theory(equality)],[c_89008,c_88976]) ).
tff(c_108112,plain,
! [V1_11466,V2_11467] :
( ( head_of('#skF_1'(V1_11466,V2_11467)) != V1_11466 )
| ( head_of('#skF_12') != V1_11466 )
| ( tail_of('#skF_15') != V2_11467 )
| ( V2_11467 = V1_11466 )
| ~ vertex(V2_11467)
| ~ vertex(V1_11466) ),
inference(superposition,[status(thm),theory(equality)],[c_107952,c_89085]) ).
tff(c_111254,plain,
! [V2_11648,V1_11649] :
( ( tail_of('#skF_15') != V2_11648 )
| ( head_of('#skF_12') != V1_11649 )
| ( V2_11648 = V1_11649 )
| ~ vertex(V2_11648)
| ~ vertex(V1_11649) ),
inference(superposition,[status(thm),theory(equality)],[c_111066,c_108112]) ).
tff(c_111388,plain,
! [V1_11650] :
( ( head_of('#skF_12') != V1_11650 )
| ( tail_of('#skF_15') = V1_11650 )
| ~ vertex(V1_11650) ),
inference(resolution,[status(thm)],[c_86462,c_111254]) ).
tff(c_111472,plain,
tail_of('#skF_15') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_89468,c_111388]) ).
tff(c_111551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87082,c_111472]) ).
tff(c_111552,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_87081]) ).
tff(c_86475,plain,
( ( head_of('#skF_11') != head_of('#skF_12') )
| ( tail_of('#skF_11') != tail_of('#skF_15') ) ),
inference(resolution,[status(thm)],[c_86463,c_86472]) ).
tff(c_86487,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_86351,c_86475]) ).
tff(c_111593,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111552,c_86487]) ).
tff(c_111594,plain,
! [V1_9249,V2_9251] : ~ shortest_path(V1_9249,V2_9251,'#skF_13'),
inference(splitRight,[status(thm)],[c_86702]) ).
tff(c_111597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111594,c_144]) ).
tff(c_111598,plain,
tail_of('#skF_11') = head_of('#skF_14'),
inference(splitRight,[status(thm)],[c_154]) ).
tff(c_161979,plain,
( vertex(head_of('#skF_14'))
| ~ edge('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_111598,c_4]) ).
tff(c_161990,plain,
~ edge('#skF_11'),
inference(splitLeft,[status(thm)],[c_161979]) ).
tff(c_162099,plain,
! [E2_16794,V1_16797,P_16795,V2_16796,E1_16793] :
( on_path(E1_16793,P_16795)
| ~ precedes(E1_16793,E2_16794,P_16795)
| ~ path(V1_16797,V2_16796,P_16795) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_162102,plain,
! [V1_16797,V2_16796] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_16797,V2_16796,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_162099]) ).
tff(c_162103,plain,
! [V1_16797,V2_16796] : ~ path(V1_16797,V2_16796,'#skF_13'),
inference(splitLeft,[status(thm)],[c_162102]) ).
tff(c_162105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162103,c_63959]) ).
tff(c_162106,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_162102]) ).
tff(c_162108,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_162106,c_62]) ).
tff(c_162111,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_161990,c_162108]) ).
tff(c_162117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162111,c_63959]) ).
tff(c_162119,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_161979]) ).
tff(c_162249,plain,
! [E2_16838,V1_16841,E1_16837,V2_16840,P_16839] :
( on_path(E1_16837,P_16839)
| ~ precedes(E1_16837,E2_16838,P_16839)
| ~ path(V1_16841,V2_16840,P_16839) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_162252,plain,
! [V1_16841,V2_16840] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_16841,V2_16840,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_162249]) ).
tff(c_162253,plain,
! [V1_16841,V2_16840] : ~ path(V1_16841,V2_16840,'#skF_13'),
inference(splitLeft,[status(thm)],[c_162252]) ).
tff(c_162255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162253,c_63959]) ).
tff(c_162256,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_162252]) ).
tff(c_162776,plain,
! [P_16915,V1_16913,E2_16916,V2_16912,E1_16914] :
( ~ sequential(E1_16914,E2_16916)
| precedes(E1_16914,E2_16916,P_16915)
| ~ on_path(E2_16916,P_16915)
| ~ on_path(E1_16914,P_16915)
| ~ path(V1_16913,V2_16912,P_16915) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_162786,plain,
! [E1_16917,E2_16918] :
( ~ sequential(E1_16917,E2_16918)
| precedes(E1_16917,E2_16918,'#skF_13')
| ~ on_path(E2_16918,'#skF_13')
| ~ on_path(E1_16917,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_162776]) ).
tff(c_162287,plain,
! [E1_16852,V1_16849,V2_16851,P_16848,E2_16850] :
( ~ precedes(E2_16850,E1_16852,P_16848)
| ~ precedes(E1_16852,E2_16850,P_16848)
| ~ shortest_path(V1_16849,V2_16851,P_16848) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_162290,plain,
! [V1_16849,V2_16851] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_16849,V2_16851,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_162287]) ).
tff(c_162298,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_162290]) ).
tff(c_162791,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_162786,c_162298]) ).
tff(c_162801,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_162294,c_162256,c_162791]) ).
tff(c_162807,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_162801]) ).
tff(c_162810,plain,
( ( head_of('#skF_14') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162302,c_162119,c_111598,c_162807]) ).
tff(c_162812,plain,
head_of('#skF_14') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_162810]) ).
tff(c_162118,plain,
vertex(head_of('#skF_14')),
inference(splitRight,[status(thm)],[c_161979]) ).
tff(c_162206,plain,
! [E_16820,P_16821,V1_16822,V2_16823] :
( in_path(head_of(E_16820),P_16821)
| ~ on_path(E_16820,P_16821)
| ~ path(V1_16822,V2_16823,P_16821) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_162214,plain,
! [E_16827] :
( in_path(head_of(E_16827),'#skF_13')
| ~ on_path(E_16827,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_162206]) ).
tff(c_162217,plain,
! [E_16827,V1_30,V2_31] :
( vertex(head_of(E_16827))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_16827,'#skF_13') ),
inference(resolution,[status(thm)],[c_162214,c_68]) ).
tff(c_162222,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_162217]) ).
tff(c_162228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162222,c_63959]) ).
tff(c_162229,plain,
! [E_16827] :
( vertex(head_of(E_16827))
| ~ on_path(E_16827,'#skF_13') ),
inference(splitRight,[status(thm)],[c_162217]) ).
tff(c_162362,plain,
! [E_16889] :
( path(tail_of(E_16889),head_of(E_16889),path_cons(E_16889,empty))
| ~ edge(E_16889)
| ~ vertex(head_of(E_16889))
| ~ vertex(tail_of(E_16889)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_162388,plain,
( path(head_of('#skF_14'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_11'))
| ~ vertex(tail_of('#skF_11')) ),
inference(superposition,[status(thm),theory(equality)],[c_111598,c_162362]) ).
tff(c_162399,plain,
( path(head_of('#skF_14'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ vertex(head_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_162118,c_111598,c_162119,c_162388]) ).
tff(c_162400,plain,
~ vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_162399]) ).
tff(c_162403,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_162229,c_162400]) ).
tff(c_162410,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_162256,c_162403]) ).
tff(c_162412,plain,
vertex(head_of('#skF_11')),
inference(splitRight,[status(thm)],[c_162399]) ).
tff(c_163310,plain,
! [V1_17023,V2_17022,P_17021,E2_17020,E1_17019] :
( sequential(E1_17019,E2_17020)
| precedes('#skF_5'(E1_17019,E2_17020,P_17021,V2_17022,V1_17023),E2_17020,P_17021)
| ~ precedes(E1_17019,E2_17020,P_17021)
| ~ path(V1_17023,V2_17022,P_17021) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_164751,plain,
! [V2_17246,E2_17245,V1_17247,E1_17249,V2_17244,P_17250,V1_17248] :
( on_path('#skF_5'(E1_17249,E2_17245,P_17250,V2_17244,V1_17247),P_17250)
| ~ path(V1_17248,V2_17246,P_17250)
| sequential(E1_17249,E2_17245)
| ~ precedes(E1_17249,E2_17245,P_17250)
| ~ path(V1_17247,V2_17244,P_17250) ),
inference(resolution,[status(thm)],[c_163310,c_86]) ).
tff(c_164776,plain,
! [E1_17251,E2_17252,V2_17253,V1_17254] :
( on_path('#skF_5'(E1_17251,E2_17252,'#skF_13',V2_17253,V1_17254),'#skF_13')
| sequential(E1_17251,E2_17252)
| ~ precedes(E1_17251,E2_17252,'#skF_13')
| ~ path(V1_17254,V2_17253,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_164751]) ).
tff(c_163212,plain,
! [V2_16994,V1_16995,E1_16991,E2_16992,P_16993] :
( sequential(E1_16991,E2_16992)
| sequential(E1_16991,'#skF_5'(E1_16991,E2_16992,P_16993,V2_16994,V1_16995))
| ~ precedes(E1_16991,E2_16992,P_16993)
| ~ path(V1_16995,V2_16994,P_16993) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_163465,plain,
! [E2_17059,E1_17061,V1_17060,P_17062,V2_17063] :
( ( tail_of('#skF_5'(E1_17061,E2_17059,P_17062,V2_17063,V1_17060)) = head_of(E1_17061) )
| sequential(E1_17061,E2_17059)
| ~ precedes(E1_17061,E2_17059,P_17062)
| ~ path(V1_17060,V2_17063,P_17062) ),
inference(resolution,[status(thm)],[c_163212,c_72]) ).
tff(c_162231,plain,
! [E_16832,P_16833,V1_16834,V2_16835] :
( in_path(tail_of(E_16832),P_16833)
| ~ on_path(E_16832,P_16833)
| ~ path(V1_16834,V2_16835,P_16833) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_162234,plain,
! [E_16832] :
( in_path(tail_of(E_16832),'#skF_13')
| ~ on_path(E_16832,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_162231]) ).
tff(c_163486,plain,
! [E2_17059,E1_17061,V1_17060,P_17062,V2_17063] :
( in_path(head_of(E1_17061),'#skF_13')
| ~ on_path('#skF_5'(E1_17061,E2_17059,P_17062,V2_17063,V1_17060),'#skF_13')
| sequential(E1_17061,E2_17059)
| ~ precedes(E1_17061,E2_17059,P_17062)
| ~ path(V1_17060,V2_17063,P_17062) ),
inference(superposition,[status(thm),theory(equality)],[c_163465,c_162234]) ).
tff(c_164802,plain,
! [E1_17251,E2_17252,V1_17254,V2_17253] :
( in_path(head_of(E1_17251),'#skF_13')
| sequential(E1_17251,E2_17252)
| ~ precedes(E1_17251,E2_17252,'#skF_13')
| ~ path(V1_17254,V2_17253,'#skF_13') ),
inference(resolution,[status(thm)],[c_164776,c_163486]) ).
tff(c_164811,plain,
! [V1_17254,V2_17253] : ~ path(V1_17254,V2_17253,'#skF_13'),
inference(splitLeft,[status(thm)],[c_164802]) ).
tff(c_164824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164811,c_63959]) ).
tff(c_164826,plain,
! [E1_17259,E2_17260] :
( in_path(head_of(E1_17259),'#skF_13')
| sequential(E1_17259,E2_17260)
| ~ precedes(E1_17259,E2_17260,'#skF_13') ),
inference(splitRight,[status(thm)],[c_164802]) ).
tff(c_164842,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_164826]) ).
tff(c_164843,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_164842]) ).
tff(c_164891,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_164843,c_72]) ).
tff(c_164921,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_164891,c_30]) ).
tff(c_164942,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_162412,c_164891,c_162302,c_164921]) ).
tff(c_165014,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_164942]) ).
tff(c_165031,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_162229,c_165014]) ).
tff(c_165039,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_162294,c_165031]) ).
tff(c_165041,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_164942]) ).
tff(c_162165,plain,
! [E3_16818] :
( ( head_of(E3_16818) != head_of('#skF_12') )
| ( tail_of(E3_16818) != head_of('#skF_14') )
| ~ edge(E3_16818) ),
inference(demodulation,[status(thm),theory(equality)],[c_111598,c_177]) ).
tff(c_162996,plain,
! [V1_16951,V2_16952] :
( ( head_of('#skF_1'(V1_16951,V2_16952)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_16951,V2_16952)) != head_of('#skF_14') )
| ( V2_16952 = V1_16951 )
| ~ vertex(V2_16952)
| ~ vertex(V1_16951) ),
inference(resolution,[status(thm)],[c_170,c_162165]) ).
tff(c_168595,plain,
! [V1_17779,V2_17780] :
( ( head_of('#skF_1'(V1_17779,V2_17780)) != head_of('#skF_12') )
| ( head_of('#skF_14') != V1_17779 )
| ( V2_17780 = V1_17779 )
| ~ vertex(V2_17780)
| ~ vertex(V1_17779)
| ( head_of('#skF_1'(V1_17779,V2_17780)) = V1_17779 )
| ( V2_17780 = V1_17779 )
| ~ vertex(V2_17780)
| ~ vertex(V1_17779) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_162996]) ).
tff(c_168601,plain,
! [V2_4,V1_3] :
( ( head_of('#skF_12') != V2_4 )
| ( head_of('#skF_14') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_168595]) ).
tff(c_184100,plain,
! [V2_4,V1_3] :
( ( head_of('#skF_12') != V2_4 )
| ( head_of('#skF_14') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 ) ),
inference(factorization,[status(thm),theory(equality)],[c_168601]) ).
tff(c_162133,plain,
! [E3_100] :
( ( tail_of('#skF_15') = head_of('#skF_14') )
| ( head_of(E3_100) != head_of('#skF_14') )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(demodulation,[status(thm),theory(equality)],[c_111598,c_111598,c_150]) ).
tff(c_162187,plain,
! [E3_16819] :
( ( head_of(E3_16819) != head_of('#skF_14') )
| ( tail_of(E3_16819) != head_of('#skF_12') )
| ~ edge(E3_16819) ),
inference(splitLeft,[status(thm)],[c_162133]) ).
tff(c_163155,plain,
! [V1_16972,V2_16973] :
( ( head_of('#skF_1'(V1_16972,V2_16973)) != head_of('#skF_14') )
| ( tail_of('#skF_1'(V1_16972,V2_16973)) != head_of('#skF_12') )
| ( V2_16973 = V1_16972 )
| ~ vertex(V2_16973)
| ~ vertex(V1_16972) ),
inference(resolution,[status(thm)],[c_170,c_162187]) ).
tff(c_168603,plain,
! [V1_17781,V2_17782] :
( ( head_of('#skF_1'(V1_17781,V2_17782)) != head_of('#skF_14') )
| ( head_of('#skF_12') != V2_17782 )
| ( V2_17782 = V1_17781 )
| ~ vertex(V2_17782)
| ~ vertex(V1_17781)
| ( head_of('#skF_1'(V1_17781,V2_17782)) = V2_17782 )
| ( V2_17782 = V1_17781 )
| ~ vertex(V2_17782)
| ~ vertex(V1_17781) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_163155]) ).
tff(c_168606,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_14') != V1_3 )
| ( head_of('#skF_12') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_168603]) ).
tff(c_187316,plain,
! [V1_19335,V2_19336] :
( ( head_of('#skF_14') != V1_19335 )
| ( head_of('#skF_12') != V2_19336 )
| ( V2_19336 = V1_19335 )
| ~ vertex(V2_19336)
| ~ vertex(V1_19335)
| ( head_of('#skF_1'(V1_19335,V2_19336)) = V2_19336 ) ),
inference(factorization,[status(thm),theory(equality)],[c_168606]) ).
tff(c_162649,plain,
! [V1_16908,V2_16909] :
( ( tail_of('#skF_1'(V1_16908,V2_16909)) = V2_16909 )
| ( tail_of('#skF_1'(V1_16908,V2_16909)) = V1_16908 )
| ( V2_16909 = V1_16908 )
| ~ vertex(V2_16909)
| ~ vertex(V1_16908) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_162159,plain,
! [V1_16816,V2_16817] :
( edge('#skF_1'(V1_16816,V2_16817))
| ( V2_16817 = V1_16816 )
| ~ vertex(V2_16817)
| ~ vertex(V1_16816) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_162163,plain,
! [V1_16816,V2_16817] :
( ( tail_of('#skF_1'(V1_16816,V2_16817)) != head_of('#skF_1'(V1_16816,V2_16817)) )
| ( V2_16817 = V1_16816 )
| ~ vertex(V2_16817)
| ~ vertex(V1_16816) ),
inference(resolution,[status(thm)],[c_162159,c_2]) ).
tff(c_164640,plain,
! [V1_17230,V2_17231] :
( ( head_of('#skF_1'(V1_17230,V2_17231)) != V1_17230 )
| ( V2_17231 = V1_17230 )
| ~ vertex(V2_17231)
| ~ vertex(V1_17230)
| ( tail_of('#skF_1'(V1_17230,V2_17231)) = V2_17231 )
| ( V2_17231 = V1_17230 )
| ~ vertex(V2_17231)
| ~ vertex(V1_17230) ),
inference(superposition,[status(thm),theory(equality)],[c_162649,c_162163]) ).
tff(c_164489,plain,
! [V1_17217,V2_17218] :
( ( head_of('#skF_1'(V1_17217,V2_17218)) != V2_17218 )
| ( V2_17218 = V1_17217 )
| ~ vertex(V2_17218)
| ~ vertex(V1_17217)
| ( tail_of('#skF_1'(V1_17217,V2_17218)) = V1_17217 )
| ( V2_17218 = V1_17217 )
| ~ vertex(V2_17218)
| ~ vertex(V1_17217) ),
inference(superposition,[status(thm),theory(equality)],[c_162649,c_162163]) ).
tff(c_164559,plain,
! [V1_17217,V2_17218] :
( ( tail_of('#skF_1'(V1_17217,V2_17218)) != V2_17218 )
| ( head_of('#skF_1'(V1_17217,V2_17218)) != V1_17217 )
| ( head_of('#skF_1'(V1_17217,V2_17218)) != V2_17218 )
| ( V2_17218 = V1_17217 )
| ~ vertex(V2_17218)
| ~ vertex(V1_17217) ),
inference(superposition,[status(thm),theory(equality)],[c_164489,c_168]) ).
tff(c_164717,plain,
! [V1_17230,V2_17231] :
( ( head_of('#skF_1'(V1_17230,V2_17231)) != V2_17231 )
| ( head_of('#skF_1'(V1_17230,V2_17231)) != V1_17230 )
| ( V2_17231 = V1_17230 )
| ~ vertex(V2_17231)
| ~ vertex(V1_17230) ),
inference(superposition,[status(thm),theory(equality)],[c_164640,c_164559]) ).
tff(c_187528,plain,
! [V1_19337,V2_19338] :
( ( head_of('#skF_1'(V1_19337,V2_19338)) != V1_19337 )
| ( head_of('#skF_14') != V1_19337 )
| ( head_of('#skF_12') != V2_19338 )
| ( V2_19338 = V1_19337 )
| ~ vertex(V2_19338)
| ~ vertex(V1_19337) ),
inference(superposition,[status(thm),theory(equality)],[c_187316,c_164717]) ).
tff(c_187551,plain,
! [V2_19339,V1_19340] :
( ( head_of('#skF_12') != V2_19339 )
| ( head_of('#skF_14') != V1_19340 )
| ( V2_19339 = V1_19340 )
| ~ vertex(V2_19339)
| ~ vertex(V1_19340) ),
inference(superposition,[status(thm),theory(equality)],[c_184100,c_187528]) ).
tff(c_187682,plain,
! [V1_19341] :
( ( head_of('#skF_14') != V1_19341 )
| ( head_of('#skF_12') = V1_19341 )
| ~ vertex(V1_19341) ),
inference(resolution,[status(thm)],[c_165041,c_187551]) ).
tff(c_187799,plain,
head_of('#skF_14') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_162118,c_187682]) ).
tff(c_187854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162812,c_187799]) ).
tff(c_187855,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_162810]) ).
tff(c_162174,plain,
( ( head_of('#skF_11') != head_of('#skF_12') )
| ( tail_of('#skF_11') != head_of('#skF_14') ) ),
inference(resolution,[status(thm)],[c_162119,c_162165]) ).
tff(c_162182,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_111598,c_162174]) ).
tff(c_187880,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187855,c_162182]) ).
tff(c_187881,plain,
! [V1_16849,V2_16851] : ~ shortest_path(V1_16849,V2_16851,'#skF_13'),
inference(splitRight,[status(thm)],[c_162290]) ).
tff(c_187884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187881,c_144]) ).
tff(c_187885,plain,
tail_of('#skF_15') = head_of('#skF_14'),
inference(splitRight,[status(thm)],[c_162133]) ).
tff(c_187972,plain,
! [V2_19359,V1_19360,E2_19357,E1_19356,P_19358] :
( on_path(E2_19357,P_19358)
| ~ precedes(E1_19356,E2_19357,P_19358)
| ~ path(V1_19360,V2_19359,P_19358) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_187975,plain,
! [V1_19360,V2_19359] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_19360,V2_19359,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_187972]) ).
tff(c_187976,plain,
! [V1_19360,V2_19359] : ~ path(V1_19360,V2_19359,'#skF_13'),
inference(splitLeft,[status(thm)],[c_187975]) ).
tff(c_187978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187976,c_63959]) ).
tff(c_187979,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_187975]) ).
tff(c_187982,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_187979,c_62]) ).
tff(c_187987,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_187982]) ).
tff(c_187989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187987,c_63959]) ).
tff(c_187990,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_187982]) ).
tff(c_188003,plain,
! [E_19362,P_19363,V1_19364,V2_19365] :
( in_path(tail_of(E_19362),P_19363)
| ~ on_path(E_19362,P_19363)
| ~ path(V1_19364,V2_19365,P_19363) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_188007,plain,
! [E_19366] :
( in_path(tail_of(E_19366),'#skF_13')
| ~ on_path(E_19366,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_188003]) ).
tff(c_188021,plain,
( in_path(head_of('#skF_14'),'#skF_13')
| ~ on_path('#skF_11','#skF_13') ),
inference(superposition,[status(thm),theory(equality)],[c_111598,c_188007]) ).
tff(c_188025,plain,
~ on_path('#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_188021]) ).
tff(c_188027,plain,
! [E2_19368,P_19369,V2_19370,E1_19367,V1_19371] :
( on_path(E1_19367,P_19369)
| ~ precedes(E1_19367,E2_19368,P_19369)
| ~ path(V1_19371,V2_19370,P_19369) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_188029,plain,
! [V1_19371,V2_19370] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_19371,V2_19370,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_188027]) ).
tff(c_188032,plain,
! [V1_19371,V2_19370] : ~ path(V1_19371,V2_19370,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_188025,c_188029]) ).
tff(c_188034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188032,c_63959]) ).
tff(c_188036,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_188021]) ).
tff(c_188710,plain,
! [V2_19459,E1_19461,P_19462,V1_19460,E2_19463] :
( ~ sequential(E1_19461,E2_19463)
| precedes(E1_19461,E2_19463,P_19462)
| ~ on_path(E2_19463,P_19462)
| ~ on_path(E1_19461,P_19462)
| ~ path(V1_19460,V2_19459,P_19462) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_188723,plain,
! [E1_19464,E2_19465] :
( ~ sequential(E1_19464,E2_19465)
| precedes(E1_19464,E2_19465,'#skF_13')
| ~ on_path(E2_19465,'#skF_13')
| ~ on_path(E1_19464,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_188710]) ).
tff(c_188084,plain,
! [V2_19388,P_19385,V1_19386,E2_19387,E1_19389] :
( ~ precedes(E2_19387,E1_19389,P_19385)
| ~ precedes(E1_19389,E2_19387,P_19385)
| ~ shortest_path(V1_19386,V2_19388,P_19385) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_188087,plain,
! [V1_19386,V2_19388] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_19386,V2_19388,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_188084]) ).
tff(c_188088,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_188087]) ).
tff(c_188728,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_188723,c_188088]) ).
tff(c_188738,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_187979,c_188036,c_188728]) ).
tff(c_188744,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_188738]) ).
tff(c_188747,plain,
( ( head_of('#skF_14') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187990,c_162119,c_111598,c_188744]) ).
tff(c_188748,plain,
head_of('#skF_14') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_188747]) ).
tff(c_187968,plain,
! [E_19352,P_19353,V1_19354,V2_19355] :
( in_path(head_of(E_19352),P_19353)
| ~ on_path(E_19352,P_19353)
| ~ path(V1_19354,V2_19355,P_19353) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_187983,plain,
! [E_19361] :
( in_path(head_of(E_19361),'#skF_13')
| ~ on_path(E_19361,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_187968]) ).
tff(c_187986,plain,
! [E_19361,V1_30,V2_31] :
( vertex(head_of(E_19361))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_19361,'#skF_13') ),
inference(resolution,[status(thm)],[c_187983,c_68]) ).
tff(c_188045,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_187986]) ).
tff(c_188047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188045,c_63959]) ).
tff(c_188048,plain,
! [E_19361] :
( vertex(head_of(E_19361))
| ~ on_path(E_19361,'#skF_13') ),
inference(splitRight,[status(thm)],[c_187986]) ).
tff(c_188156,plain,
! [E_19419] :
( path(tail_of(E_19419),head_of(E_19419),path_cons(E_19419,empty))
| ~ edge(E_19419)
| ~ vertex(head_of(E_19419))
| ~ vertex(tail_of(E_19419)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_188188,plain,
( path(head_of('#skF_14'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_11'))
| ~ vertex(tail_of('#skF_11')) ),
inference(superposition,[status(thm),theory(equality)],[c_111598,c_188156]) ).
tff(c_188201,plain,
( path(head_of('#skF_14'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ vertex(head_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_162118,c_111598,c_162119,c_188188]) ).
tff(c_188285,plain,
~ vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_188201]) ).
tff(c_188288,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_188048,c_188285]) ).
tff(c_188295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_188036,c_188288]) ).
tff(c_188297,plain,
vertex(head_of('#skF_11')),
inference(splitRight,[status(thm)],[c_188201]) ).
tff(c_189352,plain,
! [V1_19585,V2_19584,P_19583,E1_19581,E2_19582] :
( sequential(E1_19581,E2_19582)
| precedes('#skF_5'(E1_19581,E2_19582,P_19583,V2_19584,V1_19585),E2_19582,P_19583)
| ~ precedes(E1_19581,E2_19582,P_19583)
| ~ path(V1_19585,V2_19584,P_19583) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_191113,plain,
! [P_19851,E2_19852,V2_19853,V2_19849,V1_19850,E1_19855,V1_19854] :
( on_path('#skF_5'(E1_19855,E2_19852,P_19851,V2_19849,V1_19850),P_19851)
| ~ path(V1_19854,V2_19853,P_19851)
| sequential(E1_19855,E2_19852)
| ~ precedes(E1_19855,E2_19852,P_19851)
| ~ path(V1_19850,V2_19849,P_19851) ),
inference(resolution,[status(thm)],[c_189352,c_86]) ).
tff(c_191144,plain,
! [E1_19856,E2_19857,V2_19858,V1_19859] :
( on_path('#skF_5'(E1_19856,E2_19857,'#skF_13',V2_19858,V1_19859),'#skF_13')
| sequential(E1_19856,E2_19857)
| ~ precedes(E1_19856,E2_19857,'#skF_13')
| ~ path(V1_19859,V2_19858,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_191113]) ).
tff(c_189262,plain,
! [E1_19555,V1_19559,V2_19558,E2_19556,P_19557] :
( sequential(E1_19555,E2_19556)
| sequential(E1_19555,'#skF_5'(E1_19555,E2_19556,P_19557,V2_19558,V1_19559))
| ~ precedes(E1_19555,E2_19556,P_19557)
| ~ path(V1_19559,V2_19558,P_19557) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_189530,plain,
! [E1_19628,V2_19624,V1_19627,P_19626,E2_19625] :
( ( tail_of('#skF_5'(E1_19628,E2_19625,P_19626,V2_19624,V1_19627)) = head_of(E1_19628) )
| sequential(E1_19628,E2_19625)
| ~ precedes(E1_19628,E2_19625,P_19626)
| ~ path(V1_19627,V2_19624,P_19626) ),
inference(resolution,[status(thm)],[c_189262,c_72]) ).
tff(c_188006,plain,
! [E_19362] :
( in_path(tail_of(E_19362),'#skF_13')
| ~ on_path(E_19362,'#skF_13') ),
inference(resolution,[status(thm)],[c_63959,c_188003]) ).
tff(c_189554,plain,
! [E1_19628,V2_19624,V1_19627,P_19626,E2_19625] :
( in_path(head_of(E1_19628),'#skF_13')
| ~ on_path('#skF_5'(E1_19628,E2_19625,P_19626,V2_19624,V1_19627),'#skF_13')
| sequential(E1_19628,E2_19625)
| ~ precedes(E1_19628,E2_19625,P_19626)
| ~ path(V1_19627,V2_19624,P_19626) ),
inference(superposition,[status(thm),theory(equality)],[c_189530,c_188006]) ).
tff(c_191170,plain,
! [E1_19856,E2_19857,V1_19859,V2_19858] :
( in_path(head_of(E1_19856),'#skF_13')
| sequential(E1_19856,E2_19857)
| ~ precedes(E1_19856,E2_19857,'#skF_13')
| ~ path(V1_19859,V2_19858,'#skF_13') ),
inference(resolution,[status(thm)],[c_191144,c_189554]) ).
tff(c_191179,plain,
! [V1_19859,V2_19858] : ~ path(V1_19859,V2_19858,'#skF_13'),
inference(splitLeft,[status(thm)],[c_191170]) ).
tff(c_191186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191179,c_63959]) ).
tff(c_191188,plain,
! [E1_19863,E2_19864] :
( in_path(head_of(E1_19863),'#skF_13')
| sequential(E1_19863,E2_19864)
| ~ precedes(E1_19863,E2_19864,'#skF_13') ),
inference(splitRight,[status(thm)],[c_191170]) ).
tff(c_191204,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_191188]) ).
tff(c_191205,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_191204]) ).
tff(c_191258,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_191205,c_72]) ).
tff(c_191297,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_191258,c_30]) ).
tff(c_191318,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_188297,c_191258,c_187990,c_191297]) ).
tff(c_191427,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_191318]) ).
tff(c_191433,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_188048,c_191427]) ).
tff(c_191441,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187979,c_191433]) ).
tff(c_191443,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_191318]) ).
tff(c_188124,plain,
! [V1_19411,V2_19412] :
( ( tail_of('#skF_1'(V1_19411,V2_19412)) = V2_19412 )
| ( head_of('#skF_1'(V1_19411,V2_19412)) = V2_19412 )
| ( V2_19412 = V1_19411 )
| ~ vertex(V2_19412)
| ~ vertex(V1_19411) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_24]) ).
tff(c_187925,plain,
! [E3_100] :
( ( head_of('#skF_15') = head_of('#skF_12') )
| ( head_of(E3_100) != head_of('#skF_14') )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(demodulation,[status(thm),theory(equality)],[c_111598,c_148]) ).
tff(c_187949,plain,
! [E3_19351] :
( ( head_of(E3_19351) != head_of('#skF_14') )
| ( tail_of(E3_19351) != head_of('#skF_12') )
| ~ edge(E3_19351) ),
inference(splitLeft,[status(thm)],[c_187925]) ).
tff(c_187962,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_14') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_187949]) ).
tff(c_195928,plain,
! [V1_20452,V2_20453] :
( ( head_of('#skF_1'(V1_20452,V2_20453)) != head_of('#skF_14') )
| ( head_of('#skF_12') != V2_20453 )
| ( V2_20453 = V1_20452 )
| ~ vertex(V2_20453)
| ~ vertex(V1_20452)
| ( head_of('#skF_1'(V1_20452,V2_20453)) = V2_20453 )
| ( V2_20453 = V1_20452 )
| ~ vertex(V2_20453)
| ~ vertex(V1_20452) ),
inference(superposition,[status(thm),theory(equality)],[c_188124,c_187962]) ).
tff(c_195931,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_14') != V1_3 )
| ( head_of('#skF_12') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_195928]) ).
tff(c_211105,plain,
! [V1_21818,V2_21819] :
( ( head_of('#skF_14') != V1_21818 )
| ( head_of('#skF_12') != V2_21819 )
| ( V2_21819 = V1_21818 )
| ~ vertex(V2_21819)
| ~ vertex(V1_21818)
| ( head_of('#skF_1'(V1_21818,V2_21819)) = V2_21819 ) ),
inference(factorization,[status(thm),theory(equality)],[c_195931]) ).
tff(c_187928,plain,
! [E3_19350] :
( ( head_of(E3_19350) != head_of('#skF_12') )
| ( tail_of(E3_19350) != head_of('#skF_14') )
| ~ edge(E3_19350) ),
inference(demodulation,[status(thm),theory(equality)],[c_111598,c_177]) ).
tff(c_188613,plain,
! [V1_19439,V2_19440] :
( ( head_of('#skF_1'(V1_19439,V2_19440)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_19439,V2_19440)) != head_of('#skF_14') )
| ( V2_19440 = V1_19439 )
| ~ vertex(V2_19440)
| ~ vertex(V1_19439) ),
inference(resolution,[status(thm)],[c_170,c_187928]) ).
tff(c_196124,plain,
! [V1_20465,V2_20466] :
( ( head_of('#skF_1'(V1_20465,V2_20466)) != head_of('#skF_12') )
| ( head_of('#skF_14') != V1_20465 )
| ( V2_20466 = V1_20465 )
| ~ vertex(V2_20466)
| ~ vertex(V1_20465)
| ( tail_of('#skF_1'(V1_20465,V2_20466)) = V2_20466 )
| ( V2_20466 = V1_20465 )
| ~ vertex(V2_20466)
| ~ vertex(V1_20465) ),
inference(superposition,[status(thm),theory(equality)],[c_166,c_188613]) ).
tff(c_187908,plain,
! [V1_19345,V2_19346] :
( edge('#skF_1'(V1_19345,V2_19346))
| ( V2_19346 = V1_19345 )
| ~ vertex(V2_19346)
| ~ vertex(V1_19345) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_187912,plain,
! [V1_19345,V2_19346] :
( ( tail_of('#skF_1'(V1_19345,V2_19346)) != head_of('#skF_1'(V1_19345,V2_19346)) )
| ( V2_19346 = V1_19345 )
| ~ vertex(V2_19346)
| ~ vertex(V1_19345) ),
inference(resolution,[status(thm)],[c_187908,c_2]) ).
tff(c_196227,plain,
! [V1_20465,V2_20466] :
( ( head_of('#skF_1'(V1_20465,V2_20466)) != V2_20466 )
| ( V2_20466 = V1_20465 )
| ~ vertex(V2_20466)
| ~ vertex(V1_20465)
| ( head_of('#skF_1'(V1_20465,V2_20466)) != head_of('#skF_12') )
| ( head_of('#skF_14') != V1_20465 )
| ( V2_20466 = V1_20465 )
| ~ vertex(V2_20466)
| ~ vertex(V1_20465)
| ( V2_20466 = V1_20465 )
| ~ vertex(V2_20466)
| ~ vertex(V1_20465) ),
inference(superposition,[status(thm),theory(equality)],[c_196124,c_187912]) ).
tff(c_211513,plain,
! [V1_21825,V2_21826] :
( ( head_of('#skF_1'(V1_21825,V2_21826)) != head_of('#skF_12') )
| ( head_of('#skF_14') != V1_21825 )
| ( head_of('#skF_12') != V2_21826 )
| ( V2_21826 = V1_21825 )
| ~ vertex(V2_21826)
| ~ vertex(V1_21825) ),
inference(superposition,[status(thm),theory(equality)],[c_211105,c_196227]) ).
tff(c_211622,plain,
! [V2_21842,V1_21843] :
( ( head_of('#skF_12') != V2_21842 )
| ( head_of('#skF_14') != V1_21843 )
| ( head_of('#skF_12') != V2_21842 )
| ( V2_21842 = V1_21843 )
| ~ vertex(V2_21842)
| ~ vertex(V1_21843)
| ( head_of('#skF_1'(V1_21843,V2_21842)) = V1_21843 )
| ( V2_21842 = V1_21843 )
| ~ vertex(V2_21842)
| ~ vertex(V1_21843) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_211513]) ).
tff(c_188480,plain,
! [V1_19430,V2_19431] :
( ( tail_of('#skF_1'(V1_19430,V2_19431)) = V2_19431 )
| ( tail_of('#skF_1'(V1_19430,V2_19431)) = V1_19430 )
| ( V2_19431 = V1_19430 )
| ~ vertex(V2_19431)
| ~ vertex(V1_19430) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_190656,plain,
! [V1_19785,V2_19786] :
( ( head_of('#skF_1'(V1_19785,V2_19786)) != V1_19785 )
| ( V2_19786 = V1_19785 )
| ~ vertex(V2_19786)
| ~ vertex(V1_19785)
| ( tail_of('#skF_1'(V1_19785,V2_19786)) = V2_19786 )
| ( V2_19786 = V1_19785 )
| ~ vertex(V2_19786)
| ~ vertex(V1_19785) ),
inference(superposition,[status(thm),theory(equality)],[c_188480,c_187912]) ).
tff(c_190551,plain,
! [V1_19781,V2_19782] :
( ( head_of('#skF_1'(V1_19781,V2_19782)) != V2_19782 )
| ( V2_19782 = V1_19781 )
| ~ vertex(V2_19782)
| ~ vertex(V1_19781)
| ( tail_of('#skF_1'(V1_19781,V2_19782)) = V1_19781 )
| ( V2_19782 = V1_19781 )
| ~ vertex(V2_19782)
| ~ vertex(V1_19781) ),
inference(superposition,[status(thm),theory(equality)],[c_188480,c_187912]) ).
tff(c_190624,plain,
! [V1_19781,V2_19782] :
( ( tail_of('#skF_1'(V1_19781,V2_19782)) != V2_19782 )
| ( head_of('#skF_1'(V1_19781,V2_19782)) != V1_19781 )
| ( head_of('#skF_1'(V1_19781,V2_19782)) != V2_19782 )
| ( V2_19782 = V1_19781 )
| ~ vertex(V2_19782)
| ~ vertex(V1_19781) ),
inference(superposition,[status(thm),theory(equality)],[c_190551,c_168]) ).
tff(c_190736,plain,
! [V1_19785,V2_19786] :
( ( head_of('#skF_1'(V1_19785,V2_19786)) != V2_19786 )
| ( head_of('#skF_1'(V1_19785,V2_19786)) != V1_19785 )
| ( V2_19786 = V1_19785 )
| ~ vertex(V2_19786)
| ~ vertex(V1_19785) ),
inference(superposition,[status(thm),theory(equality)],[c_190656,c_190624]) ).
tff(c_211265,plain,
! [V1_21818,V2_21819] :
( ( head_of('#skF_1'(V1_21818,V2_21819)) != V1_21818 )
| ( head_of('#skF_14') != V1_21818 )
| ( head_of('#skF_12') != V2_21819 )
| ( V2_21819 = V1_21818 )
| ~ vertex(V2_21819)
| ~ vertex(V1_21818) ),
inference(superposition,[status(thm),theory(equality)],[c_211105,c_190736]) ).
tff(c_211798,plain,
! [V1_21844,V2_21845] :
( ( head_of('#skF_14') != V1_21844 )
| ( head_of('#skF_12') != V2_21845 )
| ( V2_21845 = V1_21844 )
| ~ vertex(V2_21845)
| ~ vertex(V1_21844) ),
inference(superposition,[status(thm),theory(equality)],[c_211622,c_211265]) ).
tff(c_211944,plain,
! [V1_21846] :
( ( head_of('#skF_14') != V1_21846 )
| ( head_of('#skF_12') = V1_21846 )
| ~ vertex(V1_21846) ),
inference(resolution,[status(thm)],[c_191443,c_211798]) ).
tff(c_212076,plain,
head_of('#skF_14') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_162118,c_211944]) ).
tff(c_212137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188748,c_212076]) ).
tff(c_212138,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_188747]) ).
tff(c_187937,plain,
( ( head_of('#skF_11') != head_of('#skF_12') )
| ( tail_of('#skF_11') != head_of('#skF_14') ) ),
inference(resolution,[status(thm)],[c_162119,c_187928]) ).
tff(c_187945,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_111598,c_187937]) ).
tff(c_212165,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212138,c_187945]) ).
tff(c_212166,plain,
! [V1_19386,V2_19388] : ~ shortest_path(V1_19386,V2_19388,'#skF_13'),
inference(splitRight,[status(thm)],[c_188087]) ).
tff(c_212169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212166,c_144]) ).
tff(c_212170,plain,
head_of('#skF_15') = head_of('#skF_12'),
inference(splitRight,[status(thm)],[c_187925]) ).
tff(c_212182,plain,
! [E3_21847] :
( ( head_of(E3_21847) != head_of('#skF_12') )
| ( tail_of(E3_21847) != head_of('#skF_14') )
| ~ edge(E3_21847) ),
inference(demodulation,[status(thm),theory(equality)],[c_111598,c_177]) ).
tff(c_212194,plain,
( ( head_of('#skF_15') != head_of('#skF_12') )
| ( tail_of('#skF_15') != head_of('#skF_14') ) ),
inference(resolution,[status(thm)],[c_63948,c_212182]) ).
tff(c_212203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187885,c_212170,c_212194]) ).
tff(c_212204,plain,
edge('#skF_14'),
inference(splitRight,[status(thm)],[c_158]) ).
tff(c_306466,plain,
! [V1_31975,E1_31971,V2_31974,P_31973,E2_31972] :
( on_path(E2_31972,P_31973)
| ~ precedes(E1_31971,E2_31972,P_31973)
| ~ path(V1_31975,V2_31974,P_31973) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_306469,plain,
! [V1_31975,V2_31974] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_31975,V2_31974,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_306466]) ).
tff(c_306478,plain,
! [V1_31975,V2_31974] : ~ path(V1_31975,V2_31974,'#skF_13'),
inference(splitLeft,[status(thm)],[c_306469]) ).
tff(c_285839,plain,
! [V1_29662,V2_29663,SP_29664] :
( path(V1_29662,V2_29663,SP_29664)
| ~ shortest_path(V1_29662,V2_29663,SP_29664) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_285843,plain,
path('#skF_9','#skF_10','#skF_13'),
inference(resolution,[status(thm)],[c_144,c_285839]) ).
tff(c_306480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306478,c_285843]) ).
tff(c_306481,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_306469]) ).
tff(c_306484,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_306481,c_62]) ).
tff(c_306485,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_306484]) ).
tff(c_306487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306485,c_285843]) ).
tff(c_306488,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_306484]) ).
tff(c_285950,plain,
! [V2_29698,E1_29695,P_29697,V1_29699,E2_29696] :
( on_path(E2_29696,P_29697)
| ~ precedes(E1_29695,E2_29696,P_29697)
| ~ path(V1_29699,V2_29698,P_29697) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_285953,plain,
! [V1_29699,V2_29698] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_29699,V2_29698,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_285950]) ).
tff(c_285954,plain,
! [V1_29699,V2_29698] : ~ path(V1_29699,V2_29698,'#skF_13'),
inference(splitLeft,[status(thm)],[c_285953]) ).
tff(c_285956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285954,c_285843]) ).
tff(c_285957,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_285953]) ).
tff(c_285960,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_285957,c_62]) ).
tff(c_285965,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_285960]) ).
tff(c_285967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285965,c_285843]) ).
tff(c_285968,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_285960]) ).
tff(c_285981,plain,
! [E2_29701,V1_29704,V2_29703,P_29702,E1_29700] :
( on_path(E1_29700,P_29702)
| ~ precedes(E1_29700,E2_29701,P_29702)
| ~ path(V1_29704,V2_29703,P_29702) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_285984,plain,
! [V1_29704,V2_29703] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_29704,V2_29703,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_285981]) ).
tff(c_285985,plain,
! [V1_29704,V2_29703] : ~ path(V1_29704,V2_29703,'#skF_13'),
inference(splitLeft,[status(thm)],[c_285984]) ).
tff(c_285987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285985,c_285843]) ).
tff(c_285988,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_285984]) ).
tff(c_285991,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_285988,c_62]) ).
tff(c_285992,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_285991]) ).
tff(c_285994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285992,c_285843]) ).
tff(c_285995,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_285991]) ).
tff(c_286374,plain,
! [E1_29777,P_29778,V2_29775,V1_29776,E2_29779] :
( ~ sequential(E1_29777,E2_29779)
| precedes(E1_29777,E2_29779,P_29778)
| ~ on_path(E2_29779,P_29778)
| ~ on_path(E1_29777,P_29778)
| ~ path(V1_29776,V2_29775,P_29778) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_286384,plain,
! [E1_29780,E2_29781] :
( ~ sequential(E1_29780,E2_29781)
| precedes(E1_29780,E2_29781,'#skF_13')
| ~ on_path(E2_29781,'#skF_13')
| ~ on_path(E1_29780,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_286374]) ).
tff(c_286022,plain,
! [V2_29716,E2_29715,V1_29714,E1_29717,P_29713] :
( ~ precedes(E2_29715,E1_29717,P_29713)
| ~ precedes(E1_29717,E2_29715,P_29713)
| ~ shortest_path(V1_29714,V2_29716,P_29713) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_286025,plain,
! [V1_29714,V2_29716] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_29714,V2_29716,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_286022]) ).
tff(c_286026,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_286025]) ).
tff(c_286389,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_286384,c_286026]) ).
tff(c_286399,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_285957,c_285988,c_286389]) ).
tff(c_286405,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_286399]) ).
tff(c_286408,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_285968,c_285995,c_286405]) ).
tff(c_286409,plain,
tail_of('#skF_11') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_286408]) ).
tff(c_285926,plain,
! [E_29686,P_29687,V1_29688,V2_29689] :
( in_path(tail_of(E_29686),P_29687)
| ~ on_path(E_29686,P_29687)
| ~ path(V1_29688,V2_29689,P_29687) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_285930,plain,
! [E_29690] :
( in_path(tail_of(E_29690),'#skF_13')
| ~ on_path(E_29690,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_285926]) ).
tff(c_285936,plain,
! [E_29690,V1_30,V2_31] :
( vertex(tail_of(E_29690))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_29690,'#skF_13') ),
inference(resolution,[status(thm)],[c_285930,c_68]) ).
tff(c_285938,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_285936]) ).
tff(c_285940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285938,c_285843]) ).
tff(c_285941,plain,
! [E_29690] :
( vertex(tail_of(E_29690))
| ~ on_path(E_29690,'#skF_13') ),
inference(splitRight,[status(thm)],[c_285936]) ).
tff(c_286008,plain,
! [E_29705,P_29706,V1_29707,V2_29708] :
( in_path(head_of(E_29705),P_29706)
| ~ on_path(E_29705,P_29706)
| ~ path(V1_29707,V2_29708,P_29706) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_286012,plain,
! [E_29709] :
( in_path(head_of(E_29709),'#skF_13')
| ~ on_path(E_29709,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_286008]) ).
tff(c_286015,plain,
! [E_29709,V1_30,V2_31] :
( vertex(head_of(E_29709))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_29709,'#skF_13') ),
inference(resolution,[status(thm)],[c_286012,c_68]) ).
tff(c_286016,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_286015]) ).
tff(c_286019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286016,c_285843]) ).
tff(c_286020,plain,
! [E_29709] :
( vertex(head_of(E_29709))
| ~ on_path(E_29709,'#skF_13') ),
inference(splitRight,[status(thm)],[c_286015]) ).
tff(c_286677,plain,
! [P_29841,E2_29840,V1_29843,E1_29839,V2_29842] :
( sequential(E1_29839,E2_29840)
| sequential(E1_29839,'#skF_5'(E1_29839,E2_29840,P_29841,V2_29842,V1_29843))
| ~ precedes(E1_29839,E2_29840,P_29841)
| ~ path(V1_29843,V2_29842,P_29841) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_286696,plain,
! [P_29841,E2_29840,V1_29843,E1_29839,V2_29842] :
( edge('#skF_5'(E1_29839,E2_29840,P_29841,V2_29842,V1_29843))
| sequential(E1_29839,E2_29840)
| ~ precedes(E1_29839,E2_29840,P_29841)
| ~ path(V1_29843,V2_29842,P_29841) ),
inference(resolution,[status(thm)],[c_286677,c_76]) ).
tff(c_286902,plain,
! [V2_29901,E1_29900,V1_29903,E2_29904,P_29902] :
( ( tail_of('#skF_5'(E1_29900,E2_29904,P_29902,V2_29901,V1_29903)) = head_of(E1_29900) )
| sequential(E1_29900,E2_29904)
| ~ precedes(E1_29900,E2_29904,P_29902)
| ~ path(V1_29903,V2_29901,P_29902) ),
inference(resolution,[status(thm)],[c_286677,c_72]) ).
tff(c_287397,plain,
! [V2_29987,P_29986,V1_29983,E2_29984,E1_29985] :
( vertex(head_of(E1_29985))
| ~ edge('#skF_5'(E1_29985,E2_29984,P_29986,V2_29987,V1_29983))
| sequential(E1_29985,E2_29984)
| ~ precedes(E1_29985,E2_29984,P_29986)
| ~ path(V1_29983,V2_29987,P_29986) ),
inference(superposition,[status(thm),theory(equality)],[c_286902,c_4]) ).
tff(c_287401,plain,
! [E2_29992,E1_29988,P_29990,V2_29989,V1_29991] :
( vertex(head_of(E1_29988))
| sequential(E1_29988,E2_29992)
| ~ precedes(E1_29988,E2_29992,P_29990)
| ~ path(V1_29991,V2_29989,P_29990) ),
inference(resolution,[status(thm)],[c_286696,c_287397]) ).
tff(c_287413,plain,
! [V1_29991,V2_29989] :
( vertex(head_of('#skF_11'))
| sequential('#skF_11','#skF_12')
| ~ path(V1_29991,V2_29989,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_287401]) ).
tff(c_287414,plain,
! [V1_29991,V2_29989] : ~ path(V1_29991,V2_29989,'#skF_13'),
inference(splitLeft,[status(thm)],[c_287413]) ).
tff(c_287429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_287414,c_285843]) ).
tff(c_287430,plain,
( sequential('#skF_11','#skF_12')
| vertex(head_of('#skF_11')) ),
inference(splitRight,[status(thm)],[c_287413]) ).
tff(c_287431,plain,
vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_287430]) ).
tff(c_286813,plain,
! [V1_29881,P_29879,E2_29878,E1_29877,V2_29880] :
( sequential(E1_29877,E2_29878)
| precedes('#skF_5'(E1_29877,E2_29878,P_29879,V2_29880,V1_29881),E2_29878,P_29879)
| ~ precedes(E1_29877,E2_29878,P_29879)
| ~ path(V1_29881,V2_29880,P_29879) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_288142,plain,
! [E1_30117,P_30121,E2_30119,V2_30118,V1_30122,V2_30120,V1_30116] :
( on_path('#skF_5'(E1_30117,E2_30119,P_30121,V2_30118,V1_30116),P_30121)
| ~ path(V1_30122,V2_30120,P_30121)
| sequential(E1_30117,E2_30119)
| ~ precedes(E1_30117,E2_30119,P_30121)
| ~ path(V1_30116,V2_30118,P_30121) ),
inference(resolution,[status(thm)],[c_286813,c_86]) ).
tff(c_288160,plain,
! [E1_30117,E2_30119,V2_30118,V1_30116] :
( on_path('#skF_5'(E1_30117,E2_30119,'#skF_13',V2_30118,V1_30116),'#skF_13')
| sequential(E1_30117,E2_30119)
| ~ precedes(E1_30117,E2_30119,'#skF_13')
| ~ path(V1_30116,V2_30118,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_288142]) ).
tff(c_285929,plain,
! [E_29686] :
( in_path(tail_of(E_29686),'#skF_13')
| ~ on_path(E_29686,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_285926]) ).
tff(c_288290,plain,
! [P_30159,V2_30160,E2_30157,E1_30158,V1_30156] :
( in_path(head_of(E1_30158),'#skF_13')
| ~ on_path('#skF_5'(E1_30158,E2_30157,P_30159,V2_30160,V1_30156),'#skF_13')
| sequential(E1_30158,E2_30157)
| ~ precedes(E1_30158,E2_30157,P_30159)
| ~ path(V1_30156,V2_30160,P_30159) ),
inference(superposition,[status(thm),theory(equality)],[c_286902,c_285929]) ).
tff(c_288297,plain,
! [E1_30117,E2_30119,V1_30116,V2_30118] :
( in_path(head_of(E1_30117),'#skF_13')
| sequential(E1_30117,E2_30119)
| ~ precedes(E1_30117,E2_30119,'#skF_13')
| ~ path(V1_30116,V2_30118,'#skF_13') ),
inference(resolution,[status(thm)],[c_288160,c_288290]) ).
tff(c_288299,plain,
! [V1_30116,V2_30118] : ~ path(V1_30116,V2_30118,'#skF_13'),
inference(splitLeft,[status(thm)],[c_288297]) ).
tff(c_288338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_288299,c_285843]) ).
tff(c_288340,plain,
! [E1_30165,E2_30166] :
( in_path(head_of(E1_30165),'#skF_13')
| sequential(E1_30165,E2_30166)
| ~ precedes(E1_30165,E2_30166,'#skF_13') ),
inference(splitRight,[status(thm)],[c_288297]) ).
tff(c_288356,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_288340]) ).
tff(c_288357,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_288356]) ).
tff(c_288410,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_288357,c_72]) ).
tff(c_288443,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_288410,c_30]) ).
tff(c_288464,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_287431,c_288410,c_285968,c_288443]) ).
tff(c_288535,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_288464]) ).
tff(c_288541,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_286020,c_288535]) ).
tff(c_288549,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_285957,c_288541]) ).
tff(c_288551,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_288464]) ).
tff(c_288550,plain,
path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty)),
inference(splitRight,[status(thm)],[c_288464]) ).
tff(c_286718,plain,
! [E_29854,V2_29855,TP_29856] :
( ~ path(head_of(E_29854),V2_29855,TP_29856)
| path(tail_of(E_29854),V2_29855,path_cons(E_29854,TP_29856))
| ~ edge(E_29854)
| ~ vertex(V2_29855)
| ~ vertex(tail_of(E_29854)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_286761,plain,
! [E_29854,TP_29856,V2_29855] :
( ( number_of_in(edges,path_cons(E_29854,TP_29856)) = length_of(path_cons(E_29854,TP_29856)) )
| ~ path(head_of(E_29854),V2_29855,TP_29856)
| ~ edge(E_29854)
| ~ vertex(V2_29855)
| ~ vertex(tail_of(E_29854)) ),
inference(resolution,[status(thm)],[c_286718,c_128]) ).
tff(c_288562,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_11')) ),
inference(resolution,[status(thm)],[c_288550,c_286761]) ).
tff(c_288596,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ vertex(tail_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_288551,c_285995,c_288562]) ).
tff(c_289127,plain,
~ vertex(tail_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_288596]) ).
tff(c_289130,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_285941,c_289127]) ).
tff(c_289137,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_285988,c_289130]) ).
tff(c_289139,plain,
vertex(tail_of('#skF_11')),
inference(splitRight,[status(thm)],[c_288596]) ).
tff(c_156,plain,
! [E3_99] :
( ( tail_of('#skF_14') = head_of('#skF_12') )
| ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_285908,plain,
! [E3_29685] :
( ( head_of(E3_29685) != head_of('#skF_12') )
| ( tail_of(E3_29685) != tail_of('#skF_11') )
| ~ edge(E3_29685) ),
inference(splitLeft,[status(thm)],[c_156]) ).
tff(c_286410,plain,
! [V1_29782,V2_29783] :
( ( head_of('#skF_1'(V1_29782,V2_29783)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_29782,V2_29783)) != tail_of('#skF_11') )
| ( V2_29783 = V1_29782 )
| ~ vertex(V2_29783)
| ~ vertex(V1_29782) ),
inference(resolution,[status(thm)],[c_170,c_285908]) ).
tff(c_291032,plain,
! [V1_30563,V2_30564] :
( ( head_of('#skF_1'(V1_30563,V2_30564)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V1_30563 )
| ( V2_30564 = V1_30563 )
| ~ vertex(V2_30564)
| ~ vertex(V1_30563)
| ( head_of('#skF_1'(V1_30563,V2_30564)) = V1_30563 )
| ( V2_30564 = V1_30563 )
| ~ vertex(V2_30564)
| ~ vertex(V1_30563) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_286410]) ).
tff(c_291038,plain,
! [V2_4,V1_3] :
( ( head_of('#skF_12') != V2_4 )
| ( tail_of('#skF_11') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_291032]) ).
tff(c_304986,plain,
! [V2_4,V1_3] :
( ( head_of('#skF_12') != V2_4 )
| ( tail_of('#skF_11') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 ) ),
inference(factorization,[status(thm),theory(equality)],[c_291038]) ).
tff(c_285889,plain,
! [E3_29684] :
( ( tail_of('#skF_11') != head_of(E3_29684) )
| ( tail_of(E3_29684) != head_of('#skF_12') )
| ~ edge(E3_29684) ),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_286555,plain,
! [V1_29813,V2_29814] :
( ( head_of('#skF_1'(V1_29813,V2_29814)) != tail_of('#skF_11') )
| ( tail_of('#skF_1'(V1_29813,V2_29814)) != head_of('#skF_12') )
| ( V2_29814 = V1_29813 )
| ~ vertex(V2_29814)
| ~ vertex(V1_29813) ),
inference(resolution,[status(thm)],[c_170,c_285889]) ).
tff(c_291172,plain,
! [V1_30567,V2_30568] :
( ( head_of('#skF_1'(V1_30567,V2_30568)) != tail_of('#skF_11') )
| ( head_of('#skF_12') != V2_30568 )
| ( V2_30568 = V1_30567 )
| ~ vertex(V2_30568)
| ~ vertex(V1_30567)
| ( head_of('#skF_1'(V1_30567,V2_30568)) = V2_30568 )
| ( V2_30568 = V1_30567 )
| ~ vertex(V2_30568)
| ~ vertex(V1_30567) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_286555]) ).
tff(c_291175,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_11') != V1_3 )
| ( head_of('#skF_12') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_291172]) ).
tff(c_305701,plain,
! [V1_31911,V2_31912] :
( ( tail_of('#skF_11') != V1_31911 )
| ( head_of('#skF_12') != V2_31912 )
| ( V2_31912 = V1_31911 )
| ~ vertex(V2_31912)
| ~ vertex(V1_31911)
| ( head_of('#skF_1'(V1_31911,V2_31912)) = V2_31912 ) ),
inference(factorization,[status(thm),theory(equality)],[c_291175]) ).
tff(c_286262,plain,
! [V1_29770,V2_29771] :
( ( tail_of('#skF_1'(V1_29770,V2_29771)) = V2_29771 )
| ( tail_of('#skF_1'(V1_29770,V2_29771)) = V1_29770 )
| ( V2_29771 = V1_29770 )
| ~ vertex(V2_29771)
| ~ vertex(V1_29770) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_285884,plain,
! [V1_29682,V2_29683] :
( edge('#skF_1'(V1_29682,V2_29683))
| ( V2_29683 = V1_29682 )
| ~ vertex(V2_29683)
| ~ vertex(V1_29682) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_285888,plain,
! [V1_29682,V2_29683] :
( ( tail_of('#skF_1'(V1_29682,V2_29683)) != head_of('#skF_1'(V1_29682,V2_29683)) )
| ( V2_29683 = V1_29682 )
| ~ vertex(V2_29683)
| ~ vertex(V1_29682) ),
inference(resolution,[status(thm)],[c_285884,c_2]) ).
tff(c_286307,plain,
! [V1_29770,V2_29771] :
( ( head_of('#skF_1'(V1_29770,V2_29771)) != V1_29770 )
| ( V2_29771 = V1_29770 )
| ~ vertex(V2_29771)
| ~ vertex(V1_29770)
| ( tail_of('#skF_1'(V1_29770,V2_29771)) = V2_29771 )
| ( V2_29771 = V1_29770 )
| ~ vertex(V2_29771)
| ~ vertex(V1_29770) ),
inference(superposition,[status(thm),theory(equality)],[c_286262,c_285888]) ).
tff(c_286280,plain,
! [V1_29770,V2_29771] :
( ( head_of('#skF_1'(V1_29770,V2_29771)) != V2_29771 )
| ( V2_29771 = V1_29770 )
| ~ vertex(V2_29771)
| ~ vertex(V1_29770)
| ( tail_of('#skF_1'(V1_29770,V2_29771)) = V1_29770 )
| ( V2_29771 = V1_29770 )
| ~ vertex(V2_29771)
| ~ vertex(V1_29770) ),
inference(superposition,[status(thm),theory(equality)],[c_286262,c_285888]) ).
tff(c_287901,plain,
! [V1_30067,V2_30068] :
( ( tail_of('#skF_1'(V1_30067,V2_30068)) != V1_30067 )
| ( head_of('#skF_1'(V1_30067,V2_30068)) != V2_30068 )
| ( tail_of('#skF_1'(V1_30067,V2_30068)) != V2_30068 )
| ( head_of('#skF_1'(V1_30067,V2_30068)) != V1_30067 )
| ( V2_30068 = V1_30067 )
| ~ vertex(V2_30068)
| ~ vertex(V1_30067) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_10]) ).
tff(c_287922,plain,
! [V1_30069,V2_30070] :
( ( tail_of('#skF_1'(V1_30069,V2_30070)) != V2_30070 )
| ( head_of('#skF_1'(V1_30069,V2_30070)) != V1_30069 )
| ( head_of('#skF_1'(V1_30069,V2_30070)) != V2_30070 )
| ( V2_30070 = V1_30069 )
| ~ vertex(V2_30070)
| ~ vertex(V1_30069) ),
inference(superposition,[status(thm),theory(equality)],[c_286280,c_287901]) ).
tff(c_287941,plain,
! [V1_29770,V2_29771] :
( ( head_of('#skF_1'(V1_29770,V2_29771)) != V2_29771 )
| ( head_of('#skF_1'(V1_29770,V2_29771)) != V1_29770 )
| ( V2_29771 = V1_29770 )
| ~ vertex(V2_29771)
| ~ vertex(V1_29770) ),
inference(superposition,[status(thm),theory(equality)],[c_286307,c_287922]) ).
tff(c_305896,plain,
! [V1_31913,V2_31914] :
( ( head_of('#skF_1'(V1_31913,V2_31914)) != V1_31913 )
| ( tail_of('#skF_11') != V1_31913 )
| ( head_of('#skF_12') != V2_31914 )
| ( V2_31914 = V1_31913 )
| ~ vertex(V2_31914)
| ~ vertex(V1_31913) ),
inference(superposition,[status(thm),theory(equality)],[c_305701,c_287941]) ).
tff(c_305921,plain,
! [V2_31917,V1_31918] :
( ( head_of('#skF_12') != V2_31917 )
| ( tail_of('#skF_11') != V1_31918 )
| ( V2_31917 = V1_31918 )
| ~ vertex(V2_31917)
| ~ vertex(V1_31918) ),
inference(superposition,[status(thm),theory(equality)],[c_304986,c_305896]) ).
tff(c_306040,plain,
! [V1_31919] :
( ( tail_of('#skF_11') != V1_31919 )
| ( head_of('#skF_12') = V1_31919 )
| ~ vertex(V1_31919) ),
inference(resolution,[status(thm)],[c_288551,c_305921]) ).
tff(c_306118,plain,
tail_of('#skF_11') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_289139,c_306040]) ).
tff(c_306186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286409,c_306118]) ).
tff(c_306187,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_286408]) ).
tff(c_285834,plain,
! [E3_99] :
( ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(splitLeft,[status(thm)],[c_156]) ).
tff(c_286005,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(resolution,[status(thm)],[c_285995,c_285834]) ).
tff(c_306205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_306187,c_286005]) ).
tff(c_306206,plain,
! [V1_29714,V2_29716] : ~ shortest_path(V1_29714,V2_29716,'#skF_13'),
inference(splitRight,[status(thm)],[c_286025]) ).
tff(c_306209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306206,c_144]) ).
tff(c_306210,plain,
tail_of('#skF_11') = tail_of('#skF_15'),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_306214,plain,
( vertex(tail_of('#skF_15'))
| ~ edge('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_306210,c_4]) ).
tff(c_306223,plain,
~ edge('#skF_11'),
inference(splitLeft,[status(thm)],[c_306214]) ).
tff(c_306295,plain,
! [E_31937,P_31938,V1_31939,V2_31940] :
( in_path(tail_of(E_31937),P_31938)
| ~ on_path(E_31937,P_31938)
| ~ path(V1_31939,V2_31940,P_31938) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_306299,plain,
! [E_31941] :
( in_path(tail_of(E_31941),'#skF_13')
| ~ on_path(E_31941,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_306295]) ).
tff(c_306307,plain,
( in_path(tail_of('#skF_15'),'#skF_13')
| ~ on_path('#skF_11','#skF_13') ),
inference(superposition,[status(thm),theory(equality)],[c_306210,c_306299]) ).
tff(c_306320,plain,
~ on_path('#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_306307]) ).
tff(c_306337,plain,
! [E1_31947,V2_31950,E2_31948,P_31949,V1_31951] :
( on_path(E1_31947,P_31949)
| ~ precedes(E1_31947,E2_31948,P_31949)
| ~ path(V1_31951,V2_31950,P_31949) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_306339,plain,
! [V1_31951,V2_31950] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_31951,V2_31950,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_306337]) ).
tff(c_306342,plain,
! [V1_31951,V2_31950] : ~ path(V1_31951,V2_31950,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_306320,c_306339]) ).
tff(c_306344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306342,c_285843]) ).
tff(c_306346,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_306307]) ).
tff(c_306348,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_306346,c_62]) ).
tff(c_306351,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_306223,c_306348]) ).
tff(c_306372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306351,c_285843]) ).
tff(c_306374,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_306214]) ).
tff(c_306462,plain,
! [E1_31966,V2_31969,P_31968,V1_31970,E2_31967] :
( on_path(E1_31966,P_31968)
| ~ precedes(E1_31966,E2_31967,P_31968)
| ~ path(V1_31970,V2_31969,P_31968) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_306465,plain,
! [V1_31970,V2_31969] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_31970,V2_31969,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_306462]) ).
tff(c_306470,plain,
! [V1_31970,V2_31969] : ~ path(V1_31970,V2_31969,'#skF_13'),
inference(splitLeft,[status(thm)],[c_306465]) ).
tff(c_306472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306470,c_285843]) ).
tff(c_306473,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_306465]) ).
tff(c_307051,plain,
! [V2_32063,E2_32067,E1_32065,V1_32064,P_32066] :
( ~ sequential(E1_32065,E2_32067)
| precedes(E1_32065,E2_32067,P_32066)
| ~ on_path(E2_32067,P_32066)
| ~ on_path(E1_32065,P_32066)
| ~ path(V1_32064,V2_32063,P_32066) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_307068,plain,
! [E1_32074,E2_32075] :
( ~ sequential(E1_32074,E2_32075)
| precedes(E1_32074,E2_32075,'#skF_13')
| ~ on_path(E2_32075,'#skF_13')
| ~ on_path(E1_32074,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_307051]) ).
tff(c_306556,plain,
! [E2_31996,E1_31998,V2_31997,P_31994,V1_31995] :
( ~ precedes(E2_31996,E1_31998,P_31994)
| ~ precedes(E1_31998,E2_31996,P_31994)
| ~ shortest_path(V1_31995,V2_31997,P_31994) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_306559,plain,
! [V1_31995,V2_31997] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_31995,V2_31997,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_306556]) ).
tff(c_306560,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_306559]) ).
tff(c_307075,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_307068,c_306560]) ).
tff(c_307086,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_306481,c_306473,c_307075]) ).
tff(c_307092,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_307086]) ).
tff(c_307095,plain,
( ( tail_of('#skF_15') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306488,c_306374,c_306210,c_307092]) ).
tff(c_307096,plain,
tail_of('#skF_15') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_307095]) ).
tff(c_306501,plain,
! [E_31976,P_31977,V1_31978,V2_31979] :
( in_path(head_of(E_31976),P_31977)
| ~ on_path(E_31976,P_31977)
| ~ path(V1_31978,V2_31979,P_31977) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_306505,plain,
! [E_31980] :
( in_path(head_of(E_31980),'#skF_13')
| ~ on_path(E_31980,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_306501]) ).
tff(c_306508,plain,
! [E_31980,V1_30,V2_31] :
( vertex(head_of(E_31980))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_31980,'#skF_13') ),
inference(resolution,[status(thm)],[c_306505,c_68]) ).
tff(c_306509,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_306508]) ).
tff(c_306511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306509,c_285843]) ).
tff(c_306512,plain,
! [E_31980] :
( vertex(head_of(E_31980))
| ~ on_path(E_31980,'#skF_13') ),
inference(splitRight,[status(thm)],[c_306508]) ).
tff(c_306373,plain,
vertex(tail_of('#skF_15')),
inference(splitRight,[status(thm)],[c_306214]) ).
tff(c_306629,plain,
! [E_32031] :
( path(tail_of(E_32031),head_of(E_32031),path_cons(E_32031,empty))
| ~ edge(E_32031)
| ~ vertex(head_of(E_32031))
| ~ vertex(tail_of(E_32031)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_306655,plain,
( path(tail_of('#skF_15'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_11'))
| ~ vertex(tail_of('#skF_11')) ),
inference(superposition,[status(thm),theory(equality)],[c_306210,c_306629]) ).
tff(c_306664,plain,
( path(tail_of('#skF_15'),head_of('#skF_11'),path_cons('#skF_11',empty))
| ~ vertex(head_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_306373,c_306210,c_306374,c_306655]) ).
tff(c_306665,plain,
~ vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_306664]) ).
tff(c_306672,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_306512,c_306665]) ).
tff(c_306679,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_306473,c_306672]) ).
tff(c_306681,plain,
vertex(head_of('#skF_11')),
inference(splitRight,[status(thm)],[c_306664]) ).
tff(c_307694,plain,
! [P_32198,V2_32199,V1_32200,E1_32196,E2_32197] :
( sequential(E1_32196,E2_32197)
| precedes('#skF_5'(E1_32196,E2_32197,P_32198,V2_32199,V1_32200),E2_32197,P_32198)
| ~ precedes(E1_32196,E2_32197,P_32198)
| ~ path(V1_32200,V2_32199,P_32198) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_309154,plain,
! [V2_32428,E2_32422,V1_32424,V2_32426,E1_32425,V1_32427,P_32423] :
( on_path('#skF_5'(E1_32425,E2_32422,P_32423,V2_32428,V1_32424),P_32423)
| ~ path(V1_32427,V2_32426,P_32423)
| sequential(E1_32425,E2_32422)
| ~ precedes(E1_32425,E2_32422,P_32423)
| ~ path(V1_32424,V2_32428,P_32423) ),
inference(resolution,[status(thm)],[c_307694,c_86]) ).
tff(c_309179,plain,
! [E1_32429,E2_32430,V2_32431,V1_32432] :
( on_path('#skF_5'(E1_32429,E2_32430,'#skF_13',V2_32431,V1_32432),'#skF_13')
| sequential(E1_32429,E2_32430)
| ~ precedes(E1_32429,E2_32430,'#skF_13')
| ~ path(V1_32432,V2_32431,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_309154]) ).
tff(c_307213,plain,
! [E1_32092,V1_32096,P_32094,E2_32093,V2_32095] :
( sequential(E1_32092,E2_32093)
| sequential(E1_32092,'#skF_5'(E1_32092,E2_32093,P_32094,V2_32095,V1_32096))
| ~ precedes(E1_32092,E2_32093,P_32094)
| ~ path(V1_32096,V2_32095,P_32094) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_307723,plain,
! [V1_32202,P_32205,V2_32201,E1_32203,E2_32204] :
( ( tail_of('#skF_5'(E1_32203,E2_32204,P_32205,V2_32201,V1_32202)) = head_of(E1_32203) )
| sequential(E1_32203,E2_32204)
| ~ precedes(E1_32203,E2_32204,P_32205)
| ~ path(V1_32202,V2_32201,P_32205) ),
inference(resolution,[status(thm)],[c_307213,c_72]) ).
tff(c_306514,plain,
! [E_31982,P_31983,V1_31984,V2_31985] :
( in_path(tail_of(E_31982),P_31983)
| ~ on_path(E_31982,P_31983)
| ~ path(V1_31984,V2_31985,P_31983) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_306517,plain,
! [E_31982] :
( in_path(tail_of(E_31982),'#skF_13')
| ~ on_path(E_31982,'#skF_13') ),
inference(resolution,[status(thm)],[c_285843,c_306514]) ).
tff(c_307744,plain,
! [V1_32202,P_32205,V2_32201,E1_32203,E2_32204] :
( in_path(head_of(E1_32203),'#skF_13')
| ~ on_path('#skF_5'(E1_32203,E2_32204,P_32205,V2_32201,V1_32202),'#skF_13')
| sequential(E1_32203,E2_32204)
| ~ precedes(E1_32203,E2_32204,P_32205)
| ~ path(V1_32202,V2_32201,P_32205) ),
inference(superposition,[status(thm),theory(equality)],[c_307723,c_306517]) ).
tff(c_309205,plain,
! [E1_32429,E2_32430,V1_32432,V2_32431] :
( in_path(head_of(E1_32429),'#skF_13')
| sequential(E1_32429,E2_32430)
| ~ precedes(E1_32429,E2_32430,'#skF_13')
| ~ path(V1_32432,V2_32431,'#skF_13') ),
inference(resolution,[status(thm)],[c_309179,c_307744]) ).
tff(c_309214,plain,
! [V1_32432,V2_32431] : ~ path(V1_32432,V2_32431,'#skF_13'),
inference(splitLeft,[status(thm)],[c_309205]) ).
tff(c_309216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309214,c_285843]) ).
tff(c_309233,plain,
! [E1_32437,E2_32438] :
( in_path(head_of(E1_32437),'#skF_13')
| sequential(E1_32437,E2_32438)
| ~ precedes(E1_32437,E2_32438,'#skF_13') ),
inference(splitRight,[status(thm)],[c_309205]) ).
tff(c_309249,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_309233]) ).
tff(c_309250,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_309249]) ).
tff(c_309303,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_309250,c_72]) ).
tff(c_309344,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_309303,c_30]) ).
tff(c_309365,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_306681,c_309303,c_306488,c_309344]) ).
tff(c_309437,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_309365]) ).
tff(c_309474,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_306512,c_309437]) ).
tff(c_309482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_306481,c_309474]) ).
tff(c_309484,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_309365]) ).
tff(c_306875,plain,
! [V1_32056,V2_32057] :
( ( head_of('#skF_1'(V1_32056,V2_32057)) = V1_32056 )
| ( tail_of('#skF_1'(V1_32056,V2_32057)) = V1_32056 )
| ( V2_32057 = V1_32056 )
| ~ vertex(V2_32057)
| ~ vertex(V1_32056) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_20]) ).
tff(c_212300,plain,
! [E1_21901,V1_21905,V2_21904,P_21903,E2_21902] :
( on_path(E2_21902,P_21903)
| ~ precedes(E1_21901,E2_21902,P_21903)
| ~ path(V1_21905,V2_21904,P_21903) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_212303,plain,
! [V1_21905,V2_21904] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_21905,V2_21904,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_212300]) ).
tff(c_212304,plain,
! [V1_21905,V2_21904] : ~ path(V1_21905,V2_21904,'#skF_13'),
inference(splitLeft,[status(thm)],[c_212303]) ).
tff(c_212222,plain,
! [V1_21877,V2_21878,SP_21879] :
( path(V1_21877,V2_21878,SP_21879)
| ~ shortest_path(V1_21877,V2_21878,SP_21879) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_212226,plain,
path('#skF_9','#skF_10','#skF_13'),
inference(resolution,[status(thm)],[c_144,c_212222]) ).
tff(c_212306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212304,c_212226]) ).
tff(c_212307,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_212303]) ).
tff(c_212314,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_212307,c_62]) ).
tff(c_212315,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_212314]) ).
tff(c_212317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212315,c_212226]) ).
tff(c_212318,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_212314]) ).
tff(c_212308,plain,
! [P_21908,E1_21906,E2_21907,V2_21909,V1_21910] :
( on_path(E1_21906,P_21908)
| ~ precedes(E1_21906,E2_21907,P_21908)
| ~ path(V1_21910,V2_21909,P_21908) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_212311,plain,
! [V1_21910,V2_21909] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_21910,V2_21909,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_212308]) ).
tff(c_212331,plain,
! [V1_21910,V2_21909] : ~ path(V1_21910,V2_21909,'#skF_13'),
inference(splitLeft,[status(thm)],[c_212311]) ).
tff(c_212333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212331,c_212226]) ).
tff(c_212334,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_212311]) ).
tff(c_212341,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_212334,c_62]) ).
tff(c_212342,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_212341]) ).
tff(c_212344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212342,c_212226]) ).
tff(c_212345,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_212341]) ).
tff(c_212743,plain,
! [V2_21986,E2_21990,P_21989,E1_21988,V1_21987] :
( ~ sequential(E1_21988,E2_21990)
| precedes(E1_21988,E2_21990,P_21989)
| ~ on_path(E2_21990,P_21989)
| ~ on_path(E1_21988,P_21989)
| ~ path(V1_21987,V2_21986,P_21989) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_212750,plain,
! [E1_21991,E2_21992] :
( ~ sequential(E1_21991,E2_21992)
| precedes(E1_21991,E2_21992,'#skF_13')
| ~ on_path(E2_21992,'#skF_13')
| ~ on_path(E1_21991,'#skF_13') ),
inference(resolution,[status(thm)],[c_212226,c_212743]) ).
tff(c_212397,plain,
! [V1_21929,P_21928,E2_21930,V2_21931,E1_21932] :
( ~ precedes(E2_21930,E1_21932,P_21928)
| ~ precedes(E1_21932,E2_21930,P_21928)
| ~ shortest_path(V1_21929,V2_21931,P_21928) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_212400,plain,
! [V1_21929,V2_21931] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_21929,V2_21931,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_212397]) ).
tff(c_212402,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_212400]) ).
tff(c_212755,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_212750,c_212402]) ).
tff(c_212765,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_212307,c_212334,c_212755]) ).
tff(c_212771,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_212765]) ).
tff(c_212774,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_212318,c_212345,c_212771]) ).
tff(c_212775,plain,
tail_of('#skF_11') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_212774]) ).
tff(c_212335,plain,
! [E_21911,P_21912,V1_21913,V2_21914] :
( in_path(tail_of(E_21911),P_21912)
| ~ on_path(E_21911,P_21912)
| ~ path(V1_21913,V2_21914,P_21912) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_212346,plain,
! [E_21915] :
( in_path(tail_of(E_21915),'#skF_13')
| ~ on_path(E_21915,'#skF_13') ),
inference(resolution,[status(thm)],[c_212226,c_212335]) ).
tff(c_212352,plain,
! [E_21915,V1_30,V2_31] :
( vertex(tail_of(E_21915))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_21915,'#skF_13') ),
inference(resolution,[status(thm)],[c_212346,c_68]) ).
tff(c_212373,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_212352]) ).
tff(c_212375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212373,c_212226]) ).
tff(c_212376,plain,
! [E_21915] :
( vertex(tail_of(E_21915))
| ~ on_path(E_21915,'#skF_13') ),
inference(splitRight,[status(thm)],[c_212352]) ).
tff(c_212385,plain,
! [E_21923,P_21924,V1_21925,V2_21926] :
( in_path(head_of(E_21923),P_21924)
| ~ on_path(E_21923,P_21924)
| ~ path(V1_21925,V2_21926,P_21924) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_212389,plain,
! [E_21927] :
( in_path(head_of(E_21927),'#skF_13')
| ~ on_path(E_21927,'#skF_13') ),
inference(resolution,[status(thm)],[c_212226,c_212385]) ).
tff(c_212392,plain,
! [E_21927,V1_30,V2_31] :
( vertex(head_of(E_21927))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_21927,'#skF_13') ),
inference(resolution,[status(thm)],[c_212389,c_68]) ).
tff(c_212393,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_212392]) ).
tff(c_212395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212393,c_212226]) ).
tff(c_212396,plain,
! [E_21927] :
( vertex(head_of(E_21927))
| ~ on_path(E_21927,'#skF_13') ),
inference(splitRight,[status(thm)],[c_212392]) ).
tff(c_212946,plain,
! [E2_22034,E1_22033,V1_22037,P_22035,V2_22036] :
( sequential(E1_22033,E2_22034)
| sequential(E1_22033,'#skF_5'(E1_22033,E2_22034,P_22035,V2_22036,V1_22037))
| ~ precedes(E1_22033,E2_22034,P_22035)
| ~ path(V1_22037,V2_22036,P_22035) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_212965,plain,
! [E2_22034,E1_22033,V1_22037,P_22035,V2_22036] :
( edge('#skF_5'(E1_22033,E2_22034,P_22035,V2_22036,V1_22037))
| sequential(E1_22033,E2_22034)
| ~ precedes(E1_22033,E2_22034,P_22035)
| ~ path(V1_22037,V2_22036,P_22035) ),
inference(resolution,[status(thm)],[c_212946,c_76]) ).
tff(c_213245,plain,
! [V2_22116,E1_22114,V1_22115,E2_22113,P_22117] :
( ( tail_of('#skF_5'(E1_22114,E2_22113,P_22117,V2_22116,V1_22115)) = head_of(E1_22114) )
| sequential(E1_22114,E2_22113)
| ~ precedes(E1_22114,E2_22113,P_22117)
| ~ path(V1_22115,V2_22116,P_22117) ),
inference(resolution,[status(thm)],[c_212946,c_72]) ).
tff(c_213903,plain,
! [V2_22229,V1_22228,E1_22231,P_22232,E2_22230] :
( vertex(head_of(E1_22231))
| ~ edge('#skF_5'(E1_22231,E2_22230,P_22232,V2_22229,V1_22228))
| sequential(E1_22231,E2_22230)
| ~ precedes(E1_22231,E2_22230,P_22232)
| ~ path(V1_22228,V2_22229,P_22232) ),
inference(superposition,[status(thm),theory(equality)],[c_213245,c_4]) ).
tff(c_213910,plain,
! [V1_22235,E2_22233,V2_22236,E1_22234,P_22237] :
( vertex(head_of(E1_22234))
| sequential(E1_22234,E2_22233)
| ~ precedes(E1_22234,E2_22233,P_22237)
| ~ path(V1_22235,V2_22236,P_22237) ),
inference(resolution,[status(thm)],[c_212965,c_213903]) ).
tff(c_213922,plain,
! [V1_22235,V2_22236] :
( vertex(head_of('#skF_11'))
| sequential('#skF_11','#skF_12')
| ~ path(V1_22235,V2_22236,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_213910]) ).
tff(c_213936,plain,
! [V1_22235,V2_22236] : ~ path(V1_22235,V2_22236,'#skF_13'),
inference(splitLeft,[status(thm)],[c_213922]) ).
tff(c_213938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_213936,c_212226]) ).
tff(c_213939,plain,
( sequential('#skF_11','#skF_12')
| vertex(head_of('#skF_11')) ),
inference(splitRight,[status(thm)],[c_213922]) ).
tff(c_213940,plain,
vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_213939]) ).
tff(c_213216,plain,
! [E2_22109,V2_22111,P_22110,E1_22108,V1_22112] :
( sequential(E1_22108,E2_22109)
| precedes('#skF_5'(E1_22108,E2_22109,P_22110,V2_22111,V1_22112),E2_22109,P_22110)
| ~ precedes(E1_22108,E2_22109,P_22110)
| ~ path(V1_22112,V2_22111,P_22110) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_214363,plain,
! [V1_22300,P_22297,V2_22298,V2_22299,V1_22301,E2_22302,E1_22303] :
( on_path('#skF_5'(E1_22303,E2_22302,P_22297,V2_22298,V1_22300),P_22297)
| ~ path(V1_22301,V2_22299,P_22297)
| sequential(E1_22303,E2_22302)
| ~ precedes(E1_22303,E2_22302,P_22297)
| ~ path(V1_22300,V2_22298,P_22297) ),
inference(resolution,[status(thm)],[c_213216,c_86]) ).
tff(c_214381,plain,
! [E1_22303,E2_22302,V2_22298,V1_22300] :
( on_path('#skF_5'(E1_22303,E2_22302,'#skF_13',V2_22298,V1_22300),'#skF_13')
| sequential(E1_22303,E2_22302)
| ~ precedes(E1_22303,E2_22302,'#skF_13')
| ~ path(V1_22300,V2_22298,'#skF_13') ),
inference(resolution,[status(thm)],[c_212226,c_214363]) ).
tff(c_212338,plain,
! [E_21911] :
( in_path(tail_of(E_21911),'#skF_13')
| ~ on_path(E_21911,'#skF_13') ),
inference(resolution,[status(thm)],[c_212226,c_212335]) ).
tff(c_214643,plain,
! [E1_22371,V1_22368,E2_22370,P_22372,V2_22369] :
( in_path(head_of(E1_22371),'#skF_13')
| ~ on_path('#skF_5'(E1_22371,E2_22370,P_22372,V2_22369,V1_22368),'#skF_13')
| sequential(E1_22371,E2_22370)
| ~ precedes(E1_22371,E2_22370,P_22372)
| ~ path(V1_22368,V2_22369,P_22372) ),
inference(superposition,[status(thm),theory(equality)],[c_213245,c_212338]) ).
tff(c_214650,plain,
! [E1_22303,E2_22302,V1_22300,V2_22298] :
( in_path(head_of(E1_22303),'#skF_13')
| sequential(E1_22303,E2_22302)
| ~ precedes(E1_22303,E2_22302,'#skF_13')
| ~ path(V1_22300,V2_22298,'#skF_13') ),
inference(resolution,[status(thm)],[c_214381,c_214643]) ).
tff(c_214652,plain,
! [V1_22300,V2_22298] : ~ path(V1_22300,V2_22298,'#skF_13'),
inference(splitLeft,[status(thm)],[c_214650]) ).
tff(c_214654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_214652,c_212226]) ).
tff(c_214673,plain,
! [E1_22376,E2_22377] :
( in_path(head_of(E1_22376),'#skF_13')
| sequential(E1_22376,E2_22377)
| ~ precedes(E1_22376,E2_22377,'#skF_13') ),
inference(splitRight,[status(thm)],[c_214650]) ).
tff(c_214689,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_214673]) ).
tff(c_214690,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_214689]) ).
tff(c_214738,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_214690,c_72]) ).
tff(c_214775,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_214738,c_30]) ).
tff(c_214796,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ vertex(head_of('#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_213940,c_214738,c_212318,c_214775]) ).
tff(c_214816,plain,
~ vertex(head_of('#skF_12')),
inference(splitLeft,[status(thm)],[c_214796]) ).
tff(c_214822,plain,
~ on_path('#skF_12','#skF_13'),
inference(resolution,[status(thm)],[c_212396,c_214816]) ).
tff(c_214830,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212307,c_214822]) ).
tff(c_214832,plain,
vertex(head_of('#skF_12')),
inference(splitRight,[status(thm)],[c_214796]) ).
tff(c_214831,plain,
path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty)),
inference(splitRight,[status(thm)],[c_214796]) ).
tff(c_213020,plain,
! [E_22058,V2_22059,TP_22060] :
( ~ path(head_of(E_22058),V2_22059,TP_22060)
| path(tail_of(E_22058),V2_22059,path_cons(E_22058,TP_22060))
| ~ edge(E_22058)
| ~ vertex(V2_22059)
| ~ vertex(tail_of(E_22058)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_213063,plain,
! [E_22058,TP_22060,V2_22059] :
( ( number_of_in(edges,path_cons(E_22058,TP_22060)) = length_of(path_cons(E_22058,TP_22060)) )
| ~ path(head_of(E_22058),V2_22059,TP_22060)
| ~ edge(E_22058)
| ~ vertex(V2_22059)
| ~ vertex(tail_of(E_22058)) ),
inference(resolution,[status(thm)],[c_213020,c_128]) ).
tff(c_214883,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_11')) ),
inference(resolution,[status(thm)],[c_214831,c_213063]) ).
tff(c_214917,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ vertex(tail_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_214832,c_212345,c_214883]) ).
tff(c_215308,plain,
~ vertex(tail_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_214917]) ).
tff(c_215311,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_212376,c_215308]) ).
tff(c_215318,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212334,c_215311]) ).
tff(c_215320,plain,
vertex(tail_of('#skF_11')),
inference(splitRight,[status(thm)],[c_214917]) ).
tff(c_212285,plain,
! [E3_21900] :
( ( tail_of('#skF_11') != head_of(E3_21900) )
| ( tail_of(E3_21900) != head_of('#skF_12') )
| ~ edge(E3_21900) ),
inference(splitLeft,[status(thm)],[c_152]) ).
tff(c_212463,plain,
! [V1_21960,V2_21961] :
( ( head_of('#skF_1'(V1_21960,V2_21961)) != tail_of('#skF_11') )
| ( tail_of('#skF_1'(V1_21960,V2_21961)) != head_of('#skF_12') )
| ( V2_21961 = V1_21960 )
| ~ vertex(V2_21961)
| ~ vertex(V1_21960) ),
inference(resolution,[status(thm)],[c_170,c_212285]) ).
tff(c_217681,plain,
! [V1_22797,V2_22798] :
( ( head_of('#skF_1'(V1_22797,V2_22798)) != tail_of('#skF_11') )
| ( head_of('#skF_12') != V2_22798 )
| ( V2_22798 = V1_22797 )
| ~ vertex(V2_22798)
| ~ vertex(V1_22797)
| ( head_of('#skF_1'(V1_22797,V2_22798)) = V2_22798 )
| ( V2_22798 = V1_22797 )
| ~ vertex(V2_22798)
| ~ vertex(V1_22797) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_212463]) ).
tff(c_217684,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_11') != V1_3 )
| ( head_of('#skF_12') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_217681]) ).
tff(c_233544,plain,
! [V1_24127,V2_24128] :
( ( tail_of('#skF_11') != V1_24127 )
| ( head_of('#skF_12') != V2_24128 )
| ( V2_24128 = V1_24127 )
| ~ vertex(V2_24128)
| ~ vertex(V1_24127)
| ( head_of('#skF_1'(V1_24127,V2_24128)) = V2_24128 ) ),
inference(factorization,[status(thm),theory(equality)],[c_217684]) ).
tff(c_212483,plain,
! [V1_21962,V2_21963] :
( ( tail_of('#skF_1'(V1_21962,V2_21963)) = V2_21963 )
| ( tail_of('#skF_1'(V1_21962,V2_21963)) = V1_21962 )
| ( V2_21963 = V1_21962 )
| ~ vertex(V2_21963)
| ~ vertex(V1_21962) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_212272,plain,
! [E3_21899] :
( ( head_of(E3_21899) != head_of('#skF_12') )
| ( tail_of(E3_21899) != tail_of('#skF_11') )
| ~ edge(E3_21899) ),
inference(splitLeft,[status(thm)],[c_156]) ).
tff(c_212282,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != tail_of('#skF_11') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_212272]) ).
tff(c_217413,plain,
! [V1_22789,V2_22790] :
( ( head_of('#skF_1'(V1_22789,V2_22790)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V1_22789 )
| ( V2_22790 = V1_22789 )
| ~ vertex(V2_22790)
| ~ vertex(V1_22789)
| ( tail_of('#skF_1'(V1_22789,V2_22790)) = V2_22790 )
| ( V2_22790 = V1_22789 )
| ~ vertex(V2_22790)
| ~ vertex(V1_22789) ),
inference(superposition,[status(thm),theory(equality)],[c_212483,c_212282]) ).
tff(c_212267,plain,
! [V1_21897,V2_21898] :
( edge('#skF_1'(V1_21897,V2_21898))
| ( V2_21898 = V1_21897 )
| ~ vertex(V2_21898)
| ~ vertex(V1_21897) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_212271,plain,
! [V1_21897,V2_21898] :
( ( tail_of('#skF_1'(V1_21897,V2_21898)) != head_of('#skF_1'(V1_21897,V2_21898)) )
| ( V2_21898 = V1_21897 )
| ~ vertex(V2_21898)
| ~ vertex(V1_21897) ),
inference(resolution,[status(thm)],[c_212267,c_2]) ).
tff(c_217487,plain,
! [V1_22789,V2_22790] :
( ( head_of('#skF_1'(V1_22789,V2_22790)) != V2_22790 )
| ( V2_22790 = V1_22789 )
| ~ vertex(V2_22790)
| ~ vertex(V1_22789)
| ( head_of('#skF_1'(V1_22789,V2_22790)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V1_22789 )
| ( V2_22790 = V1_22789 )
| ~ vertex(V2_22790)
| ~ vertex(V1_22789)
| ( V2_22790 = V1_22789 )
| ~ vertex(V2_22790)
| ~ vertex(V1_22789) ),
inference(superposition,[status(thm),theory(equality)],[c_217413,c_212271]) ).
tff(c_233757,plain,
! [V1_24135,V2_24136] :
( ( head_of('#skF_1'(V1_24135,V2_24136)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V1_24135 )
| ( head_of('#skF_12') != V2_24136 )
| ( V2_24136 = V1_24135 )
| ~ vertex(V2_24136)
| ~ vertex(V1_24135) ),
inference(superposition,[status(thm),theory(equality)],[c_233544,c_217487]) ).
tff(c_233811,plain,
! [V2_24143,V1_24144] :
( ( head_of('#skF_12') != V2_24143 )
| ( tail_of('#skF_11') != V1_24144 )
| ( head_of('#skF_12') != V2_24143 )
| ( V2_24143 = V1_24144 )
| ~ vertex(V2_24143)
| ~ vertex(V1_24144)
| ( head_of('#skF_1'(V1_24144,V2_24143)) = V1_24144 )
| ( V2_24143 = V1_24144 )
| ~ vertex(V2_24143)
| ~ vertex(V1_24144) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_233757]) ).
tff(c_212522,plain,
! [V1_21962,V2_21963] :
( ( head_of('#skF_1'(V1_21962,V2_21963)) != V1_21962 )
| ( V2_21963 = V1_21962 )
| ~ vertex(V2_21963)
| ~ vertex(V1_21962)
| ( tail_of('#skF_1'(V1_21962,V2_21963)) = V2_21963 )
| ( V2_21963 = V1_21962 )
| ~ vertex(V2_21963)
| ~ vertex(V1_21962) ),
inference(superposition,[status(thm),theory(equality)],[c_212483,c_212271]) ).
tff(c_214229,plain,
! [V1_22281,V2_22282] :
( ( head_of('#skF_1'(V1_22281,V2_22282)) != V2_22282 )
| ( V2_22282 = V1_22281 )
| ~ vertex(V2_22282)
| ~ vertex(V1_22281)
| ( tail_of('#skF_1'(V1_22281,V2_22282)) = V1_22281 )
| ( V2_22282 = V1_22281 )
| ~ vertex(V2_22282)
| ~ vertex(V1_22281) ),
inference(superposition,[status(thm),theory(equality)],[c_212483,c_212271]) ).
tff(c_214316,plain,
! [V1_22286,V2_22287] :
( ( tail_of('#skF_1'(V1_22286,V2_22287)) != V2_22287 )
| ( head_of('#skF_1'(V1_22286,V2_22287)) != V1_22286 )
| ( head_of('#skF_1'(V1_22286,V2_22287)) != V2_22287 )
| ( V2_22287 = V1_22286 )
| ~ vertex(V2_22287)
| ~ vertex(V1_22286) ),
inference(superposition,[status(thm),theory(equality)],[c_214229,c_168]) ).
tff(c_214337,plain,
! [V1_21962,V2_21963] :
( ( head_of('#skF_1'(V1_21962,V2_21963)) != V2_21963 )
| ( head_of('#skF_1'(V1_21962,V2_21963)) != V1_21962 )
| ( V2_21963 = V1_21962 )
| ~ vertex(V2_21963)
| ~ vertex(V1_21962) ),
inference(superposition,[status(thm),theory(equality)],[c_212522,c_214316]) ).
tff(c_233725,plain,
! [V1_24127,V2_24128] :
( ( head_of('#skF_1'(V1_24127,V2_24128)) != V1_24127 )
| ( tail_of('#skF_11') != V1_24127 )
| ( head_of('#skF_12') != V2_24128 )
| ( V2_24128 = V1_24127 )
| ~ vertex(V2_24128)
| ~ vertex(V1_24127) ),
inference(superposition,[status(thm),theory(equality)],[c_233544,c_214337]) ).
tff(c_234007,plain,
! [V1_24145,V2_24146] :
( ( tail_of('#skF_11') != V1_24145 )
| ( head_of('#skF_12') != V2_24146 )
| ( V2_24146 = V1_24145 )
| ~ vertex(V2_24146)
| ~ vertex(V1_24145) ),
inference(superposition,[status(thm),theory(equality)],[c_233811,c_233725]) ).
tff(c_234126,plain,
! [V1_24147] :
( ( tail_of('#skF_11') != V1_24147 )
| ( head_of('#skF_12') = V1_24147 )
| ~ vertex(V1_24147) ),
inference(resolution,[status(thm)],[c_214832,c_234007]) ).
tff(c_234204,plain,
tail_of('#skF_11') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_215320,c_234126]) ).
tff(c_234272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212775,c_234204]) ).
tff(c_234273,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_212774]) ).
tff(c_212220,plain,
! [E3_99] :
( ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(splitLeft,[status(thm)],[c_156]) ).
tff(c_212363,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(resolution,[status(thm)],[c_212345,c_212220]) ).
tff(c_234296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234273,c_212363]) ).
tff(c_234297,plain,
! [V1_21929,V2_21931] : ~ shortest_path(V1_21929,V2_21931,'#skF_13'),
inference(splitRight,[status(thm)],[c_212400]) ).
tff(c_234300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234297,c_144]) ).
tff(c_234301,plain,
tail_of('#skF_14') = head_of('#skF_12'),
inference(splitRight,[status(thm)],[c_156]) ).
tff(c_259808,plain,
! [V1_26967,E1_26963,P_26965,V2_26966,E2_26964] :
( on_path(E2_26964,P_26965)
| ~ precedes(E1_26963,E2_26964,P_26965)
| ~ path(V1_26967,V2_26966,P_26965) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_259811,plain,
! [V1_26967,V2_26966] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_26967,V2_26966,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_259808]) ).
tff(c_259812,plain,
! [V1_26967,V2_26966] : ~ path(V1_26967,V2_26966,'#skF_13'),
inference(splitLeft,[status(thm)],[c_259811]) ).
tff(c_234313,plain,
! [V1_24154,V2_24155,SP_24156] :
( path(V1_24154,V2_24155,SP_24156)
| ~ shortest_path(V1_24154,V2_24155,SP_24156) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_234317,plain,
path('#skF_9','#skF_10','#skF_13'),
inference(resolution,[status(thm)],[c_144,c_234313]) ).
tff(c_259814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259812,c_234317]) ).
tff(c_259815,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_259811]) ).
tff(c_259818,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_259815,c_62]) ).
tff(c_259823,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_259818]) ).
tff(c_259825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259823,c_234317]) ).
tff(c_259826,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_259818]) ).
tff(c_234464,plain,
! [V2_24203,E2_24201,E1_24200,V1_24204,P_24202] :
( on_path(E2_24201,P_24202)
| ~ precedes(E1_24200,E2_24201,P_24202)
| ~ path(V1_24204,V2_24203,P_24202) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_234467,plain,
! [V1_24204,V2_24203] :
( on_path('#skF_12','#skF_13')
| ~ path(V1_24204,V2_24203,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_234464]) ).
tff(c_234468,plain,
! [V1_24204,V2_24203] : ~ path(V1_24204,V2_24203,'#skF_13'),
inference(splitLeft,[status(thm)],[c_234467]) ).
tff(c_234470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234468,c_234317]) ).
tff(c_234471,plain,
on_path('#skF_12','#skF_13'),
inference(splitRight,[status(thm)],[c_234467]) ).
tff(c_234474,plain,
! [V1_26,V2_27] :
( edge('#skF_12')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_234471,c_62]) ).
tff(c_234475,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_234474]) ).
tff(c_234477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234475,c_234317]) ).
tff(c_234478,plain,
edge('#skF_12'),
inference(splitRight,[status(thm)],[c_234474]) ).
tff(c_234393,plain,
! [V1_24182,E1_24178,E2_24179,V2_24181,P_24180] :
( on_path(E1_24178,P_24180)
| ~ precedes(E1_24178,E2_24179,P_24180)
| ~ path(V1_24182,V2_24181,P_24180) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_234396,plain,
! [V1_24182,V2_24181] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_24182,V2_24181,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_234393]) ).
tff(c_234401,plain,
! [V1_24182,V2_24181] : ~ path(V1_24182,V2_24181,'#skF_13'),
inference(splitLeft,[status(thm)],[c_234396]) ).
tff(c_234403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234401,c_234317]) ).
tff(c_234404,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_234396]) ).
tff(c_234407,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_234404,c_62]) ).
tff(c_234408,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(splitLeft,[status(thm)],[c_234407]) ).
tff(c_234410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234408,c_234317]) ).
tff(c_234411,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_234407]) ).
tff(c_234986,plain,
! [E1_24284,V2_24282,V1_24283,E2_24286,P_24285] :
( ~ sequential(E1_24284,E2_24286)
| precedes(E1_24284,E2_24286,P_24285)
| ~ on_path(E2_24286,P_24285)
| ~ on_path(E1_24284,P_24285)
| ~ path(V1_24283,V2_24282,P_24285) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_234996,plain,
! [E1_24287,E2_24288] :
( ~ sequential(E1_24287,E2_24288)
| precedes(E1_24287,E2_24288,'#skF_13')
| ~ on_path(E2_24288,'#skF_13')
| ~ on_path(E1_24287,'#skF_13') ),
inference(resolution,[status(thm)],[c_234317,c_234986]) ).
tff(c_234499,plain,
! [P_24208,V2_24211,E1_24212,E2_24210,V1_24209] :
( ~ precedes(E2_24210,E1_24212,P_24208)
| ~ precedes(E1_24212,E2_24210,P_24208)
| ~ shortest_path(V1_24209,V2_24211,P_24208) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_234502,plain,
! [V1_24209,V2_24211] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_24209,V2_24211,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_234499]) ).
tff(c_234503,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_234502]) ).
tff(c_235001,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_234996,c_234503]) ).
tff(c_235011,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_234471,c_234404,c_235001]) ).
tff(c_235045,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_235011]) ).
tff(c_235048,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_234478,c_234411,c_235045]) ).
tff(c_235049,plain,
tail_of('#skF_11') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_235048]) ).
tff(c_234306,plain,
( vertex(head_of('#skF_12'))
| ~ edge('#skF_14') ),
inference(superposition,[status(thm),theory(equality)],[c_234301,c_4]) ).
tff(c_234310,plain,
vertex(head_of('#skF_12')),
inference(demodulation,[status(thm),theory(equality)],[c_212204,c_234306]) ).
tff(c_234424,plain,
! [E_24187,P_24188,V1_24189,V2_24190] :
( in_path(tail_of(E_24187),P_24188)
| ~ on_path(E_24187,P_24188)
| ~ path(V1_24189,V2_24190,P_24188) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_234432,plain,
! [E_24192] :
( in_path(tail_of(E_24192),'#skF_13')
| ~ on_path(E_24192,'#skF_13') ),
inference(resolution,[status(thm)],[c_234317,c_234424]) ).
tff(c_234441,plain,
! [E_24192,V1_30,V2_31] :
( vertex(tail_of(E_24192))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_24192,'#skF_13') ),
inference(resolution,[status(thm)],[c_234432,c_68]) ).
tff(c_234443,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_234441]) ).
tff(c_234445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234443,c_234317]) ).
tff(c_234446,plain,
! [E_24192] :
( vertex(tail_of(E_24192))
| ~ on_path(E_24192,'#skF_13') ),
inference(splitRight,[status(thm)],[c_234441]) ).
tff(c_235344,plain,
! [V2_24354,P_24353,V1_24355,E1_24351,E2_24352] :
( sequential(E1_24351,E2_24352)
| sequential(E1_24351,'#skF_5'(E1_24351,E2_24352,P_24353,V2_24354,V1_24355))
| ~ precedes(E1_24351,E2_24352,P_24353)
| ~ path(V1_24355,V2_24354,P_24353) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_235363,plain,
! [V2_24354,P_24353,V1_24355,E1_24351,E2_24352] :
( edge('#skF_5'(E1_24351,E2_24352,P_24353,V2_24354,V1_24355))
| sequential(E1_24351,E2_24352)
| ~ precedes(E1_24351,E2_24352,P_24353)
| ~ path(V1_24355,V2_24354,P_24353) ),
inference(resolution,[status(thm)],[c_235344,c_76]) ).
tff(c_235683,plain,
! [P_24434,V1_24435,E1_24436,V2_24433,E2_24437] :
( ( tail_of('#skF_5'(E1_24436,E2_24437,P_24434,V2_24433,V1_24435)) = head_of(E1_24436) )
| sequential(E1_24436,E2_24437)
| ~ precedes(E1_24436,E2_24437,P_24434)
| ~ path(V1_24435,V2_24433,P_24434) ),
inference(resolution,[status(thm)],[c_235344,c_72]) ).
tff(c_236422,plain,
! [E1_24557,V2_24559,E2_24556,P_24555,V1_24558] :
( vertex(head_of(E1_24557))
| ~ edge('#skF_5'(E1_24557,E2_24556,P_24555,V2_24559,V1_24558))
| sequential(E1_24557,E2_24556)
| ~ precedes(E1_24557,E2_24556,P_24555)
| ~ path(V1_24558,V2_24559,P_24555) ),
inference(superposition,[status(thm),theory(equality)],[c_235683,c_4]) ).
tff(c_236429,plain,
! [V2_24560,V1_24562,E1_24563,E2_24564,P_24561] :
( vertex(head_of(E1_24563))
| sequential(E1_24563,E2_24564)
| ~ precedes(E1_24563,E2_24564,P_24561)
| ~ path(V1_24562,V2_24560,P_24561) ),
inference(resolution,[status(thm)],[c_235363,c_236422]) ).
tff(c_236447,plain,
! [V1_24562,V2_24560] :
( vertex(head_of('#skF_11'))
| sequential('#skF_11','#skF_12')
| ~ path(V1_24562,V2_24560,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_236429]) ).
tff(c_236448,plain,
! [V1_24562,V2_24560] : ~ path(V1_24562,V2_24560,'#skF_13'),
inference(splitLeft,[status(thm)],[c_236447]) ).
tff(c_236450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_236448,c_234317]) ).
tff(c_236451,plain,
( sequential('#skF_11','#skF_12')
| vertex(head_of('#skF_11')) ),
inference(splitRight,[status(thm)],[c_236447]) ).
tff(c_236452,plain,
vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_236451]) ).
tff(c_235436,plain,
! [E1_24369,V1_24373,V2_24372,P_24371,E2_24370] :
( sequential(E1_24369,E2_24370)
| precedes('#skF_5'(E1_24369,E2_24370,P_24371,V2_24372,V1_24373),E2_24370,P_24371)
| ~ precedes(E1_24369,E2_24370,P_24371)
| ~ path(V1_24373,V2_24372,P_24371) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_236930,plain,
! [V2_24633,E2_24630,V1_24634,V2_24632,P_24631,E1_24629,V1_24635] :
( on_path('#skF_5'(E1_24629,E2_24630,P_24631,V2_24632,V1_24635),P_24631)
| ~ path(V1_24634,V2_24633,P_24631)
| sequential(E1_24629,E2_24630)
| ~ precedes(E1_24629,E2_24630,P_24631)
| ~ path(V1_24635,V2_24632,P_24631) ),
inference(resolution,[status(thm)],[c_235436,c_86]) ).
tff(c_236954,plain,
! [E1_24629,E2_24630,V2_24632,V1_24635] :
( on_path('#skF_5'(E1_24629,E2_24630,'#skF_13',V2_24632,V1_24635),'#skF_13')
| sequential(E1_24629,E2_24630)
| ~ precedes(E1_24629,E2_24630,'#skF_13')
| ~ path(V1_24635,V2_24632,'#skF_13') ),
inference(resolution,[status(thm)],[c_234317,c_236930]) ).
tff(c_234427,plain,
! [E_24187] :
( in_path(tail_of(E_24187),'#skF_13')
| ~ on_path(E_24187,'#skF_13') ),
inference(resolution,[status(thm)],[c_234317,c_234424]) ).
tff(c_237359,plain,
! [P_24717,V2_24721,V1_24720,E1_24719,E2_24718] :
( in_path(head_of(E1_24719),'#skF_13')
| ~ on_path('#skF_5'(E1_24719,E2_24718,P_24717,V2_24721,V1_24720),'#skF_13')
| sequential(E1_24719,E2_24718)
| ~ precedes(E1_24719,E2_24718,P_24717)
| ~ path(V1_24720,V2_24721,P_24717) ),
inference(superposition,[status(thm),theory(equality)],[c_235683,c_234427]) ).
tff(c_237366,plain,
! [E1_24629,E2_24630,V1_24635,V2_24632] :
( in_path(head_of(E1_24629),'#skF_13')
| sequential(E1_24629,E2_24630)
| ~ precedes(E1_24629,E2_24630,'#skF_13')
| ~ path(V1_24635,V2_24632,'#skF_13') ),
inference(resolution,[status(thm)],[c_236954,c_237359]) ).
tff(c_237368,plain,
! [V1_24635,V2_24632] : ~ path(V1_24635,V2_24632,'#skF_13'),
inference(splitLeft,[status(thm)],[c_237366]) ).
tff(c_237370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_237368,c_234317]) ).
tff(c_237372,plain,
! [E1_24722,E2_24723] :
( in_path(head_of(E1_24722),'#skF_13')
| sequential(E1_24722,E2_24723)
| ~ precedes(E1_24722,E2_24723,'#skF_13') ),
inference(splitRight,[status(thm)],[c_237366]) ).
tff(c_237388,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_237372]) ).
tff(c_237389,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_237388]) ).
tff(c_237477,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_237389,c_72]) ).
tff(c_237523,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_237477,c_30]) ).
tff(c_237546,plain,
path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty)),
inference(demodulation,[status(thm),theory(equality)],[c_236452,c_237477,c_234310,c_234478,c_237523]) ).
tff(c_235385,plain,
! [E_24366,V2_24367,TP_24368] :
( ~ path(head_of(E_24366),V2_24367,TP_24368)
| path(tail_of(E_24366),V2_24367,path_cons(E_24366,TP_24368))
| ~ edge(E_24366)
| ~ vertex(V2_24367)
| ~ vertex(tail_of(E_24366)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_235431,plain,
! [E_24366,TP_24368,V2_24367] :
( ( number_of_in(edges,path_cons(E_24366,TP_24368)) = length_of(path_cons(E_24366,TP_24368)) )
| ~ path(head_of(E_24366),V2_24367,TP_24368)
| ~ edge(E_24366)
| ~ vertex(V2_24367)
| ~ vertex(tail_of(E_24366)) ),
inference(resolution,[status(thm)],[c_235385,c_128]) ).
tff(c_237573,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_11')) ),
inference(resolution,[status(thm)],[c_237546,c_235431]) ).
tff(c_237607,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ vertex(tail_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_234310,c_234411,c_237573]) ).
tff(c_238094,plain,
~ vertex(tail_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_237607]) ).
tff(c_238105,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_234446,c_238094]) ).
tff(c_238112,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234404,c_238105]) ).
tff(c_238114,plain,
vertex(tail_of('#skF_11')),
inference(splitRight,[status(thm)],[c_237607]) ).
tff(c_234848,plain,
! [V1_24262,V2_24263] :
( ( head_of('#skF_1'(V1_24262,V2_24263)) = V1_24262 )
| ( tail_of('#skF_1'(V1_24262,V2_24263)) = V1_24262 )
| ( V2_24263 = V1_24262 )
| ~ vertex(V2_24263)
| ~ vertex(V1_24262) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_20]) ).
tff(c_234364,plain,
! [E3_24176] :
( ( tail_of('#skF_11') != head_of(E3_24176) )
| ( tail_of(E3_24176) != head_of('#skF_12') )
| ~ edge(E3_24176) ),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_234374,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != tail_of('#skF_11') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_234364]) ).
tff(c_242425,plain,
! [V1_25268,V2_25269] :
( ( head_of('#skF_1'(V1_25268,V2_25269)) != tail_of('#skF_11') )
| ( head_of('#skF_12') != V1_25268 )
| ( V2_25269 = V1_25268 )
| ~ vertex(V2_25269)
| ~ vertex(V1_25268)
| ( head_of('#skF_1'(V1_25268,V2_25269)) = V1_25268 )
| ( V2_25269 = V1_25268 )
| ~ vertex(V2_25269)
| ~ vertex(V1_25268) ),
inference(superposition,[status(thm),theory(equality)],[c_234848,c_234374]) ).
tff(c_242431,plain,
! [V2_4,V1_3] :
( ( tail_of('#skF_11') != V2_4 )
| ( head_of('#skF_12') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_242425]) ).
tff(c_258854,plain,
! [V2_26869,V1_26870] :
( ( tail_of('#skF_11') != V2_26869 )
| ( head_of('#skF_12') != V1_26870 )
| ( V2_26869 = V1_26870 )
| ~ vertex(V2_26869)
| ~ vertex(V1_26870)
| ( head_of('#skF_1'(V1_26870,V2_26869)) = V1_26870 ) ),
inference(factorization,[status(thm),theory(equality)],[c_242431]) ).
tff(c_234379,plain,
! [E3_24177] :
( ( head_of(E3_24177) != head_of('#skF_12') )
| ( tail_of(E3_24177) != tail_of('#skF_11') )
| ~ edge(E3_24177) ),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_234943,plain,
! [V1_24266,V2_24267] :
( ( head_of('#skF_1'(V1_24266,V2_24267)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_24266,V2_24267)) != tail_of('#skF_11') )
| ( V2_24267 = V1_24266 )
| ~ vertex(V2_24267)
| ~ vertex(V1_24266) ),
inference(resolution,[status(thm)],[c_170,c_234379]) ).
tff(c_242183,plain,
! [V1_25252,V2_25253] :
( ( head_of('#skF_1'(V1_25252,V2_25253)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V2_25253 )
| ( V2_25253 = V1_25252 )
| ~ vertex(V2_25253)
| ~ vertex(V1_25252)
| ( head_of('#skF_1'(V1_25252,V2_25253)) = V2_25253 )
| ( V2_25253 = V1_25252 )
| ~ vertex(V2_25253)
| ~ vertex(V1_25252) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_234943]) ).
tff(c_242186,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_12') != V1_3 )
| ( tail_of('#skF_11') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_242183]) ).
tff(c_257158,plain,
! [V1_26676,V2_26677] :
( ( head_of('#skF_12') != V1_26676 )
| ( tail_of('#skF_11') != V2_26677 )
| ( V2_26677 = V1_26676 )
| ~ vertex(V2_26677)
| ~ vertex(V1_26676)
| ( head_of('#skF_1'(V1_26676,V2_26677)) = V2_26677 ) ),
inference(factorization,[status(thm),theory(equality)],[c_242186]) ).
tff(c_234558,plain,
! [V1_24238,V2_24239] :
( ( tail_of('#skF_1'(V1_24238,V2_24239)) = V2_24239 )
| ( tail_of('#skF_1'(V1_24238,V2_24239)) = V1_24238 )
| ( V2_24239 = V1_24238 )
| ~ vertex(V2_24239)
| ~ vertex(V1_24238) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_234346,plain,
! [V1_24171,V2_24172] :
( edge('#skF_1'(V1_24171,V2_24172))
| ( V2_24172 = V1_24171 )
| ~ vertex(V2_24172)
| ~ vertex(V1_24171) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_234350,plain,
! [V1_24171,V2_24172] :
( ( tail_of('#skF_1'(V1_24171,V2_24172)) != head_of('#skF_1'(V1_24171,V2_24172)) )
| ( V2_24172 = V1_24171 )
| ~ vertex(V2_24172)
| ~ vertex(V1_24171) ),
inference(resolution,[status(thm)],[c_234346,c_2]) ).
tff(c_234585,plain,
! [V1_24238,V2_24239] :
( ( head_of('#skF_1'(V1_24238,V2_24239)) != V1_24238 )
| ( V2_24239 = V1_24238 )
| ~ vertex(V2_24239)
| ~ vertex(V1_24238)
| ( tail_of('#skF_1'(V1_24238,V2_24239)) = V2_24239 )
| ( V2_24239 = V1_24238 )
| ~ vertex(V2_24239)
| ~ vertex(V1_24238) ),
inference(superposition,[status(thm),theory(equality)],[c_234558,c_234350]) ).
tff(c_236645,plain,
! [V1_24587,V2_24588] :
( ( head_of('#skF_1'(V1_24587,V2_24588)) != V2_24588 )
| ( V2_24588 = V1_24587 )
| ~ vertex(V2_24588)
| ~ vertex(V1_24587)
| ( tail_of('#skF_1'(V1_24587,V2_24588)) = V1_24587 )
| ( V2_24588 = V1_24587 )
| ~ vertex(V2_24588)
| ~ vertex(V1_24587) ),
inference(superposition,[status(thm),theory(equality)],[c_234558,c_234350]) ).
tff(c_236727,plain,
! [V1_24589,V2_24590] :
( ( tail_of('#skF_1'(V1_24589,V2_24590)) != V2_24590 )
| ( head_of('#skF_1'(V1_24589,V2_24590)) != V1_24589 )
| ( head_of('#skF_1'(V1_24589,V2_24590)) != V2_24590 )
| ( V2_24590 = V1_24589 )
| ~ vertex(V2_24590)
| ~ vertex(V1_24589) ),
inference(superposition,[status(thm),theory(equality)],[c_236645,c_168]) ).
tff(c_236748,plain,
! [V1_24238,V2_24239] :
( ( head_of('#skF_1'(V1_24238,V2_24239)) != V2_24239 )
| ( head_of('#skF_1'(V1_24238,V2_24239)) != V1_24238 )
| ( V2_24239 = V1_24238 )
| ~ vertex(V2_24239)
| ~ vertex(V1_24238) ),
inference(superposition,[status(thm),theory(equality)],[c_234585,c_236727]) ).
tff(c_257320,plain,
! [V1_26676,V2_26677] :
( ( head_of('#skF_1'(V1_26676,V2_26677)) != V1_26676 )
| ( head_of('#skF_12') != V1_26676 )
| ( tail_of('#skF_11') != V2_26677 )
| ( V2_26677 = V1_26676 )
| ~ vertex(V2_26677)
| ~ vertex(V1_26676) ),
inference(superposition,[status(thm),theory(equality)],[c_257158,c_236748]) ).
tff(c_259063,plain,
! [V2_26871,V1_26872] :
( ( tail_of('#skF_11') != V2_26871 )
| ( head_of('#skF_12') != V1_26872 )
| ( V2_26871 = V1_26872 )
| ~ vertex(V2_26871)
| ~ vertex(V1_26872) ),
inference(superposition,[status(thm),theory(equality)],[c_258854,c_257320]) ).
tff(c_259209,plain,
! [V1_26873] :
( ( head_of('#skF_12') != V1_26873 )
| ( tail_of('#skF_11') = V1_26873 )
| ~ vertex(V1_26873) ),
inference(resolution,[status(thm)],[c_238114,c_259063]) ).
tff(c_259347,plain,
tail_of('#skF_11') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_234310,c_259209]) ).
tff(c_259404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235049,c_259347]) ).
tff(c_259405,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_235048]) ).
tff(c_234363,plain,
! [E3_99] :
( ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_234488,plain,
tail_of('#skF_11') != tail_of('#skF_12'),
inference(resolution,[status(thm)],[c_234478,c_234363]) ).
tff(c_259425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_259405,c_234488]) ).
tff(c_259426,plain,
! [V1_24209,V2_24211] : ~ shortest_path(V1_24209,V2_24211,'#skF_13'),
inference(splitRight,[status(thm)],[c_234502]) ).
tff(c_259429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259426,c_144]) ).
tff(c_259430,plain,
tail_of('#skF_11') = head_of('#skF_14'),
inference(splitRight,[status(thm)],[c_154]) ).
tff(c_234326,plain,
! [E3_100] :
( ( tail_of('#skF_11') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_259440,plain,
! [E3_26874] :
( ( head_of(E3_26874) != head_of('#skF_14') )
| ( tail_of(E3_26874) != head_of('#skF_12') )
| ~ edge(E3_26874) ),
inference(demodulation,[status(thm),theory(equality)],[c_259430,c_234326]) ).
tff(c_259449,plain,
tail_of('#skF_14') != head_of('#skF_12'),
inference(resolution,[status(thm)],[c_212204,c_259440]) ).
tff(c_259455,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234301,c_259449]) ).
tff(c_259456,plain,
tail_of('#skF_11') = tail_of('#skF_15'),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_259460,plain,
( vertex(tail_of('#skF_15'))
| ~ edge('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_259456,c_4]) ).
tff(c_259464,plain,
~ edge('#skF_11'),
inference(splitLeft,[status(thm)],[c_259460]) ).
tff(c_259570,plain,
! [E_26906,P_26907,V1_26908,V2_26909] :
( in_path(tail_of(E_26906),P_26907)
| ~ on_path(E_26906,P_26907)
| ~ path(V1_26908,V2_26909,P_26907) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_259574,plain,
! [E_26910] :
( in_path(tail_of(E_26910),'#skF_13')
| ~ on_path(E_26910,'#skF_13') ),
inference(resolution,[status(thm)],[c_234317,c_259570]) ).
tff(c_259582,plain,
( in_path(tail_of('#skF_15'),'#skF_13')
| ~ on_path('#skF_11','#skF_13') ),
inference(superposition,[status(thm),theory(equality)],[c_259456,c_259574]) ).
tff(c_259587,plain,
~ on_path('#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_259582]) ).
tff(c_259604,plain,
! [V1_26916,E1_26912,E2_26913,P_26914,V2_26915] :
( on_path(E1_26912,P_26914)
| ~ precedes(E1_26912,E2_26913,P_26914)
| ~ path(V1_26916,V2_26915,P_26914) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_259606,plain,
! [V1_26916,V2_26915] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_26916,V2_26915,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_259604]) ).
tff(c_259609,plain,
! [V1_26916,V2_26915] : ~ path(V1_26916,V2_26915,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_259587,c_259606]) ).
tff(c_259611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259609,c_234317]) ).
tff(c_259613,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_259582]) ).
tff(c_259615,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_259613,c_62]) ).
tff(c_259618,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_259464,c_259615]) ).
tff(c_259624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259618,c_234317]) ).
tff(c_259626,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_259460]) ).
tff(c_259711,plain,
! [E_26938,P_26939,V1_26940,V2_26941] :
( in_path(tail_of(E_26938),P_26939)
| ~ on_path(E_26938,P_26939)
| ~ path(V1_26940,V2_26941,P_26939) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_259716,plain,
! [E_26942] :
( in_path(tail_of(E_26942),'#skF_13')
| ~ on_path(E_26942,'#skF_13') ),
inference(resolution,[status(thm)],[c_234317,c_259711]) ).
tff(c_259724,plain,
( in_path(tail_of('#skF_15'),'#skF_13')
| ~ on_path('#skF_11','#skF_13') ),
inference(superposition,[status(thm),theory(equality)],[c_259456,c_259716]) ).
tff(c_259729,plain,
~ on_path('#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_259724]) ).
tff(c_259768,plain,
! [P_26955,E2_26954,E1_26953,V2_26956,V1_26957] :
( on_path(E1_26953,P_26955)
| ~ precedes(E1_26953,E2_26954,P_26955)
| ~ path(V1_26957,V2_26956,P_26955) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_259770,plain,
! [V1_26957,V2_26956] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_26957,V2_26956,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_259768]) ).
tff(c_259773,plain,
! [V1_26957,V2_26956] : ~ path(V1_26957,V2_26956,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_259729,c_259770]) ).
tff(c_259775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259773,c_234317]) ).
tff(c_259777,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_259724]) ).
tff(c_260478,plain,
! [E2_27055,P_27054,V1_27052,E1_27053,V2_27051] :
( ~ sequential(E1_27053,E2_27055)
| precedes(E1_27053,E2_27055,P_27054)
| ~ on_path(E2_27055,P_27054)
| ~ on_path(E1_27053,P_27054)
| ~ path(V1_27052,V2_27051,P_27054) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_260491,plain,
! [E1_27056,E2_27057] :
( ~ sequential(E1_27056,E2_27057)
| precedes(E1_27056,E2_27057,'#skF_13')
| ~ on_path(E2_27057,'#skF_13')
| ~ on_path(E1_27056,'#skF_13') ),
inference(resolution,[status(thm)],[c_234317,c_260478]) ).
tff(c_259858,plain,
! [V1_26982,V2_26984,E1_26985,P_26981,E2_26983] :
( ~ precedes(E2_26983,E1_26985,P_26981)
| ~ precedes(E1_26985,E2_26983,P_26981)
| ~ shortest_path(V1_26982,V2_26984,P_26981) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_259861,plain,
! [V1_26982,V2_26984] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_26982,V2_26984,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_259858]) ).
tff(c_259862,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_259861]) ).
tff(c_260496,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_260491,c_259862]) ).
tff(c_260506,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_259815,c_259777,c_260496]) ).
tff(c_260512,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_260506]) ).
tff(c_260515,plain,
( ( tail_of('#skF_15') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_259826,c_259626,c_259456,c_260512]) ).
tff(c_260517,plain,
tail_of('#skF_15') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_260515]) ).
tff(c_259625,plain,
vertex(tail_of('#skF_15')),
inference(splitRight,[status(thm)],[c_259460]) ).
tff(c_212207,plain,
! [E3_100] :
( ( tail_of('#skF_11') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(splitLeft,[status(thm)],[c_152]) ).
tff(c_259671,plain,
! [E3_26936] :
( ( tail_of('#skF_15') != head_of(E3_26936) )
| ( tail_of(E3_26936) != head_of('#skF_12') )
| ~ edge(E3_26936) ),
inference(demodulation,[status(thm),theory(equality)],[c_259456,c_212207]) ).
tff(c_260234,plain,
! [V1_27035,V2_27036] :
( ( head_of('#skF_1'(V1_27035,V2_27036)) != tail_of('#skF_15') )
| ( tail_of('#skF_1'(V1_27035,V2_27036)) != head_of('#skF_12') )
| ( V2_27036 = V1_27035 )
| ~ vertex(V2_27036)
| ~ vertex(V1_27035) ),
inference(resolution,[status(thm)],[c_170,c_259671]) ).
tff(c_267925,plain,
! [V1_28077,V2_28078] :
( ( head_of('#skF_1'(V1_28077,V2_28078)) != tail_of('#skF_15') )
| ( head_of('#skF_12') != V1_28077 )
| ( V2_28078 = V1_28077 )
| ~ vertex(V2_28078)
| ~ vertex(V1_28077)
| ( head_of('#skF_1'(V1_28077,V2_28078)) = V1_28077 )
| ( V2_28078 = V1_28077 )
| ~ vertex(V2_28078)
| ~ vertex(V1_28077) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_260234]) ).
tff(c_267931,plain,
! [V2_4,V1_3] :
( ( tail_of('#skF_15') != V2_4 )
| ( head_of('#skF_12') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_267925]) ).
tff(c_284758,plain,
! [V2_4,V1_3] :
( ( tail_of('#skF_15') != V2_4 )
| ( head_of('#skF_12') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 ) ),
inference(factorization,[status(thm),theory(equality)],[c_267931]) ).
tff(c_284843,plain,
! [V2_29589,V1_29590] :
( ( tail_of('#skF_15') != V2_29589 )
| ( head_of('#skF_12') != V1_29590 )
| ( V2_29589 = V1_29590 )
| ~ vertex(V2_29589)
| ~ vertex(V1_29590)
| ( head_of('#skF_1'(V1_29590,V2_29589)) = V1_29590 ) ),
inference(factorization,[status(thm),theory(equality)],[c_267931]) ).
tff(c_260124,plain,
! [V1_27022,V2_27023] :
( ( tail_of('#skF_1'(V1_27022,V2_27023)) = V2_27023 )
| ( tail_of('#skF_1'(V1_27022,V2_27023)) = V1_27022 )
| ( V2_27023 = V1_27022 )
| ~ vertex(V2_27023)
| ~ vertex(V1_27022) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_259650,plain,
! [E3_99] :
( ( tail_of('#skF_15') = head_of('#skF_14') )
| ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_15') )
| ~ edge(E3_99) ),
inference(demodulation,[status(thm),theory(equality)],[c_259456,c_259456,c_154]) ).
tff(c_259691,plain,
! [E3_26937] :
( ( head_of(E3_26937) != head_of('#skF_12') )
| ( tail_of(E3_26937) != tail_of('#skF_15') )
| ~ edge(E3_26937) ),
inference(splitLeft,[status(thm)],[c_259650]) ).
tff(c_259704,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != tail_of('#skF_15') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_259691]) ).
tff(c_268039,plain,
! [V1_28091,V2_28092] :
( ( head_of('#skF_1'(V1_28091,V2_28092)) != head_of('#skF_12') )
| ( tail_of('#skF_15') != V2_28092 )
| ( V2_28092 = V1_28091 )
| ~ vertex(V2_28092)
| ~ vertex(V1_28091)
| ( tail_of('#skF_1'(V1_28091,V2_28092)) = V1_28091 )
| ( V2_28092 = V1_28091 )
| ~ vertex(V2_28092)
| ~ vertex(V1_28091) ),
inference(superposition,[status(thm),theory(equality)],[c_260124,c_259704]) ).
tff(c_259665,plain,
! [V1_26934,V2_26935] :
( edge('#skF_1'(V1_26934,V2_26935))
| ( V2_26935 = V1_26934 )
| ~ vertex(V2_26935)
| ~ vertex(V1_26934) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_259669,plain,
! [V1_26934,V2_26935] :
( ( tail_of('#skF_1'(V1_26934,V2_26935)) != head_of('#skF_1'(V1_26934,V2_26935)) )
| ( V2_26935 = V1_26934 )
| ~ vertex(V2_26935)
| ~ vertex(V1_26934) ),
inference(resolution,[status(thm)],[c_259665,c_2]) ).
tff(c_268145,plain,
! [V1_28091,V2_28092] :
( ( head_of('#skF_1'(V1_28091,V2_28092)) != V1_28091 )
| ( V2_28092 = V1_28091 )
| ~ vertex(V2_28092)
| ~ vertex(V1_28091)
| ( head_of('#skF_1'(V1_28091,V2_28092)) != head_of('#skF_12') )
| ( tail_of('#skF_15') != V2_28092 )
| ( V2_28092 = V1_28091 )
| ~ vertex(V2_28092)
| ~ vertex(V1_28091)
| ( V2_28092 = V1_28091 )
| ~ vertex(V2_28092)
| ~ vertex(V1_28091) ),
inference(superposition,[status(thm),theory(equality)],[c_268039,c_259669]) ).
tff(c_285021,plain,
! [V1_29591,V2_29592] :
( ( head_of('#skF_1'(V1_29591,V2_29592)) != head_of('#skF_12') )
| ( tail_of('#skF_15') != V2_29592 )
| ( head_of('#skF_12') != V1_29591 )
| ( V2_29592 = V1_29591 )
| ~ vertex(V2_29592)
| ~ vertex(V1_29591) ),
inference(superposition,[status(thm),theory(equality)],[c_284843,c_268145]) ).
tff(c_285150,plain,
! [V1_29615,V2_29616] :
( ( head_of('#skF_12') != V1_29615 )
| ( tail_of('#skF_15') != V2_29616 )
| ( head_of('#skF_12') != V1_29615 )
| ( V2_29616 = V1_29615 )
| ~ vertex(V2_29616)
| ~ vertex(V1_29615)
| ( head_of('#skF_1'(V1_29615,V2_29616)) = V2_29616 )
| ( V2_29616 = V1_29615 )
| ~ vertex(V2_29616)
| ~ vertex(V1_29615) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_285021]) ).
tff(c_260178,plain,
! [V1_27022,V2_27023] :
( ( head_of('#skF_1'(V1_27022,V2_27023)) != V1_27022 )
| ( V2_27023 = V1_27022 )
| ~ vertex(V2_27023)
| ~ vertex(V1_27022)
| ( tail_of('#skF_1'(V1_27022,V2_27023)) = V2_27023 )
| ( V2_27023 = V1_27022 )
| ~ vertex(V2_27023)
| ~ vertex(V1_27022) ),
inference(superposition,[status(thm),theory(equality)],[c_260124,c_259669]) ).
tff(c_260145,plain,
! [V1_27022,V2_27023] :
( ( head_of('#skF_1'(V1_27022,V2_27023)) != V2_27023 )
| ( V2_27023 = V1_27022 )
| ~ vertex(V2_27023)
| ~ vertex(V1_27022)
| ( tail_of('#skF_1'(V1_27022,V2_27023)) = V1_27022 )
| ( V2_27023 = V1_27022 )
| ~ vertex(V2_27023)
| ~ vertex(V1_27022) ),
inference(superposition,[status(thm),theory(equality)],[c_260124,c_259669]) ).
tff(c_262568,plain,
! [V1_27388,V2_27389] :
( ( tail_of('#skF_1'(V1_27388,V2_27389)) != V1_27388 )
| ( head_of('#skF_1'(V1_27388,V2_27389)) != V2_27389 )
| ( tail_of('#skF_1'(V1_27388,V2_27389)) != V2_27389 )
| ( head_of('#skF_1'(V1_27388,V2_27389)) != V1_27388 )
| ( V2_27389 = V1_27388 )
| ~ vertex(V2_27389)
| ~ vertex(V1_27388) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_10]) ).
tff(c_262589,plain,
! [V1_27390,V2_27391] :
( ( tail_of('#skF_1'(V1_27390,V2_27391)) != V2_27391 )
| ( head_of('#skF_1'(V1_27390,V2_27391)) != V1_27390 )
| ( head_of('#skF_1'(V1_27390,V2_27391)) != V2_27391 )
| ( V2_27391 = V1_27390 )
| ~ vertex(V2_27391)
| ~ vertex(V1_27390) ),
inference(superposition,[status(thm),theory(equality)],[c_260145,c_262568]) ).
tff(c_262610,plain,
! [V1_27022,V2_27023] :
( ( head_of('#skF_1'(V1_27022,V2_27023)) != V2_27023 )
| ( head_of('#skF_1'(V1_27022,V2_27023)) != V1_27022 )
| ( V2_27023 = V1_27022 )
| ~ vertex(V2_27023)
| ~ vertex(V1_27022) ),
inference(superposition,[status(thm),theory(equality)],[c_260178,c_262589]) ).
tff(c_285336,plain,
! [V1_29617,V2_29618] :
( ( head_of('#skF_1'(V1_29617,V2_29618)) != V1_29617 )
| ( tail_of('#skF_15') != V2_29618 )
| ( head_of('#skF_12') != V1_29617 )
| ( V2_29618 = V1_29617 )
| ~ vertex(V2_29618)
| ~ vertex(V1_29617) ),
inference(superposition,[status(thm),theory(equality)],[c_285150,c_262610]) ).
tff(c_285356,plain,
! [V2_29626,V1_29627] :
( ( tail_of('#skF_15') != V2_29626 )
| ( head_of('#skF_12') != V1_29627 )
| ( V2_29626 = V1_29627 )
| ~ vertex(V2_29626)
| ~ vertex(V1_29627) ),
inference(superposition,[status(thm),theory(equality)],[c_284758,c_285336]) ).
tff(c_285514,plain,
! [V1_29628] :
( ( head_of('#skF_12') != V1_29628 )
| ( tail_of('#skF_15') = V1_29628 )
| ~ vertex(V1_29628) ),
inference(resolution,[status(thm)],[c_259625,c_285356]) ).
tff(c_285664,plain,
tail_of('#skF_15') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_234310,c_285514]) ).
tff(c_285725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260517,c_285664]) ).
tff(c_285726,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_260515]) ).
tff(c_259700,plain,
( ( head_of('#skF_11') != head_of('#skF_12') )
| ( tail_of('#skF_11') != tail_of('#skF_15') ) ),
inference(resolution,[status(thm)],[c_259626,c_259691]) ).
tff(c_259708,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_259456,c_259700]) ).
tff(c_285752,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_285726,c_259708]) ).
tff(c_285753,plain,
! [V1_26982,V2_26984] : ~ shortest_path(V1_26982,V2_26984,'#skF_13'),
inference(splitRight,[status(thm)],[c_259861]) ).
tff(c_285756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285753,c_144]) ).
tff(c_285757,plain,
tail_of('#skF_15') = head_of('#skF_14'),
inference(splitRight,[status(thm)],[c_259650]) ).
tff(c_285760,plain,
tail_of('#skF_11') = head_of('#skF_14'),
inference(demodulation,[status(thm),theory(equality)],[c_285757,c_259456]) ).
tff(c_285799,plain,
! [E3_29638] :
( ( head_of(E3_29638) != head_of('#skF_14') )
| ( tail_of(E3_29638) != head_of('#skF_12') )
| ~ edge(E3_29638) ),
inference(demodulation,[status(thm),theory(equality)],[c_285760,c_212207]) ).
tff(c_285811,plain,
tail_of('#skF_14') != head_of('#skF_12'),
inference(resolution,[status(thm)],[c_212204,c_285799]) ).
tff(c_285819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234301,c_285811]) ).
tff(c_285820,plain,
edge('#skF_15'),
inference(splitRight,[status(thm)],[c_152]) ).
tff(c_306413,plain,
! [E3_31964] :
( ( head_of(E3_31964) != head_of('#skF_12') )
| ( tail_of(E3_31964) != tail_of('#skF_15') )
| ~ edge(E3_31964) ),
inference(demodulation,[status(thm),theory(equality)],[c_306210,c_285834]) ).
tff(c_306434,plain,
head_of('#skF_15') != head_of('#skF_12'),
inference(resolution,[status(thm)],[c_285820,c_306413]) ).
tff(c_306437,plain,
! [E3_100] :
( ( head_of('#skF_15') = head_of('#skF_12') )
| ( tail_of('#skF_15') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(demodulation,[status(thm),theory(equality)],[c_306210,c_148]) ).
tff(c_306439,plain,
! [E3_31965] :
( ( tail_of('#skF_15') != head_of(E3_31965) )
| ( tail_of(E3_31965) != head_of('#skF_12') )
| ~ edge(E3_31965) ),
inference(negUnitSimplification,[status(thm)],[c_306434,c_306437]) ).
tff(c_306455,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != tail_of('#skF_15') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_306439]) ).
tff(c_313443,plain,
! [V1_32971,V2_32972] :
( ( head_of('#skF_1'(V1_32971,V2_32972)) != tail_of('#skF_15') )
| ( head_of('#skF_12') != V1_32971 )
| ( V2_32972 = V1_32971 )
| ~ vertex(V2_32972)
| ~ vertex(V1_32971)
| ( head_of('#skF_1'(V1_32971,V2_32972)) = V1_32971 )
| ( V2_32972 = V1_32971 )
| ~ vertex(V2_32972)
| ~ vertex(V1_32971) ),
inference(superposition,[status(thm),theory(equality)],[c_306875,c_306455]) ).
tff(c_313449,plain,
! [V2_4,V1_3] :
( ( tail_of('#skF_15') != V2_4 )
| ( head_of('#skF_12') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_313443]) ).
tff(c_330622,plain,
! [V2_34408,V1_34409] :
( ( tail_of('#skF_15') != V2_34408 )
| ( head_of('#skF_12') != V1_34409 )
| ( V2_34408 = V1_34409 )
| ~ vertex(V2_34408)
| ~ vertex(V1_34409)
| ( head_of('#skF_1'(V1_34409,V2_34408)) = V1_34409 ) ),
inference(factorization,[status(thm),theory(equality)],[c_313449]) ).
tff(c_307461,plain,
! [V1_32130,V2_32131] :
( ( head_of('#skF_1'(V1_32130,V2_32131)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_32130,V2_32131)) != tail_of('#skF_15') )
| ( V2_32131 = V1_32130 )
| ~ vertex(V2_32131)
| ~ vertex(V1_32130) ),
inference(resolution,[status(thm)],[c_170,c_306413]) ).
tff(c_313241,plain,
! [V1_32956,V2_32957] :
( ( head_of('#skF_1'(V1_32956,V2_32957)) != head_of('#skF_12') )
| ( tail_of('#skF_15') != V2_32957 )
| ( V2_32957 = V1_32956 )
| ~ vertex(V2_32957)
| ~ vertex(V1_32956)
| ( head_of('#skF_1'(V1_32956,V2_32957)) = V2_32957 )
| ( V2_32957 = V1_32956 )
| ~ vertex(V2_32957)
| ~ vertex(V1_32956) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_307461]) ).
tff(c_313244,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_12') != V1_3 )
| ( tail_of('#skF_15') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_313241]) ).
tff(c_327691,plain,
! [V1_34224,V2_34225] :
( ( head_of('#skF_12') != V1_34224 )
| ( tail_of('#skF_15') != V2_34225 )
| ( V2_34225 = V1_34224 )
| ~ vertex(V2_34225)
| ~ vertex(V1_34224)
| ( head_of('#skF_1'(V1_34224,V2_34225)) = V2_34225 ) ),
inference(factorization,[status(thm),theory(equality)],[c_313244]) ).
tff(c_306927,plain,
! [V1_32058,V2_32059] :
( ( tail_of('#skF_1'(V1_32058,V2_32059)) = V2_32059 )
| ( tail_of('#skF_1'(V1_32058,V2_32059)) = V1_32058 )
| ( V2_32059 = V1_32058 )
| ~ vertex(V2_32059)
| ~ vertex(V1_32058) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_306395,plain,
! [V1_31959,V2_31960] :
( edge('#skF_1'(V1_31959,V2_31960))
| ( V2_31960 = V1_31959 )
| ~ vertex(V2_31960)
| ~ vertex(V1_31959) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_306399,plain,
! [V1_31959,V2_31960] :
( ( tail_of('#skF_1'(V1_31959,V2_31960)) != head_of('#skF_1'(V1_31959,V2_31960)) )
| ( V2_31960 = V1_31959 )
| ~ vertex(V2_31960)
| ~ vertex(V1_31959) ),
inference(resolution,[status(thm)],[c_306395,c_2]) ).
tff(c_306981,plain,
! [V1_32058,V2_32059] :
( ( head_of('#skF_1'(V1_32058,V2_32059)) != V1_32058 )
| ( V2_32059 = V1_32058 )
| ~ vertex(V2_32059)
| ~ vertex(V1_32058)
| ( tail_of('#skF_1'(V1_32058,V2_32059)) = V2_32059 )
| ( V2_32059 = V1_32058 )
| ~ vertex(V2_32059)
| ~ vertex(V1_32058) ),
inference(superposition,[status(thm),theory(equality)],[c_306927,c_306399]) ).
tff(c_308849,plain,
! [V1_32370,V2_32371] :
( ( head_of('#skF_1'(V1_32370,V2_32371)) != V2_32371 )
| ( V2_32371 = V1_32370 )
| ~ vertex(V2_32371)
| ~ vertex(V1_32370)
| ( tail_of('#skF_1'(V1_32370,V2_32371)) = V1_32370 )
| ( V2_32371 = V1_32370 )
| ~ vertex(V2_32371)
| ~ vertex(V1_32370) ),
inference(superposition,[status(thm),theory(equality)],[c_306927,c_306399]) ).
tff(c_308931,plain,
! [V1_32372,V2_32373] :
( ( tail_of('#skF_1'(V1_32372,V2_32373)) != V2_32373 )
| ( head_of('#skF_1'(V1_32372,V2_32373)) != V1_32372 )
| ( head_of('#skF_1'(V1_32372,V2_32373)) != V2_32373 )
| ( V2_32373 = V1_32372 )
| ~ vertex(V2_32373)
| ~ vertex(V1_32372) ),
inference(superposition,[status(thm),theory(equality)],[c_308849,c_168]) ).
tff(c_308952,plain,
! [V1_32058,V2_32059] :
( ( head_of('#skF_1'(V1_32058,V2_32059)) != V2_32059 )
| ( head_of('#skF_1'(V1_32058,V2_32059)) != V1_32058 )
| ( V2_32059 = V1_32058 )
| ~ vertex(V2_32059)
| ~ vertex(V1_32058) ),
inference(superposition,[status(thm),theory(equality)],[c_306981,c_308931]) ).
tff(c_327850,plain,
! [V1_34224,V2_34225] :
( ( head_of('#skF_1'(V1_34224,V2_34225)) != V1_34224 )
| ( head_of('#skF_12') != V1_34224 )
| ( tail_of('#skF_15') != V2_34225 )
| ( V2_34225 = V1_34224 )
| ~ vertex(V2_34225)
| ~ vertex(V1_34224) ),
inference(superposition,[status(thm),theory(equality)],[c_327691,c_308952]) ).
tff(c_330809,plain,
! [V2_34417,V1_34418] :
( ( tail_of('#skF_15') != V2_34417 )
| ( head_of('#skF_12') != V1_34418 )
| ( V2_34417 = V1_34418 )
| ~ vertex(V2_34417)
| ~ vertex(V1_34418) ),
inference(superposition,[status(thm),theory(equality)],[c_330622,c_327850]) ).
tff(c_330943,plain,
! [V1_34419] :
( ( head_of('#skF_12') != V1_34419 )
| ( tail_of('#skF_15') = V1_34419 )
| ~ vertex(V1_34419) ),
inference(resolution,[status(thm)],[c_306373,c_330809]) ).
tff(c_331027,plain,
tail_of('#skF_15') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_309484,c_330943]) ).
tff(c_331106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_307096,c_331027]) ).
tff(c_331107,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_307095]) ).
tff(c_306422,plain,
( ( head_of('#skF_11') != head_of('#skF_12') )
| ( tail_of('#skF_11') != tail_of('#skF_15') ) ),
inference(resolution,[status(thm)],[c_306374,c_306413]) ).
tff(c_306433,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_306210,c_306422]) ).
tff(c_331130,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_331107,c_306433]) ).
tff(c_331131,plain,
! [V1_31995,V2_31997] : ~ shortest_path(V1_31995,V2_31997,'#skF_13'),
inference(splitRight,[status(thm)],[c_306559]) ).
tff(c_331134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331131,c_144]) ).
tff(c_331135,plain,
tail_of('#skF_14') = head_of('#skF_12'),
inference(splitRight,[status(thm)],[c_156]) ).
tff(c_331140,plain,
( vertex(head_of('#skF_12'))
| ~ edge('#skF_14') ),
inference(superposition,[status(thm),theory(equality)],[c_331135,c_4]) ).
tff(c_331144,plain,
vertex(head_of('#skF_12')),
inference(demodulation,[status(thm),theory(equality)],[c_212204,c_331140]) ).
tff(c_331294,plain,
! [E_34465,P_34466,V1_34467,V2_34468] :
( in_path(tail_of(E_34465),P_34466)
| ~ on_path(E_34465,P_34466)
| ~ path(V1_34467,V2_34468,P_34466) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_331298,plain,
! [E_34469] :
( in_path(tail_of(E_34469),'#skF_13')
| ~ on_path(E_34469,'#skF_13') ),
inference(resolution,[status(thm)],[c_331154,c_331294]) ).
tff(c_331307,plain,
! [E_34469,V1_30,V2_31] :
( vertex(tail_of(E_34469))
| ~ path(V1_30,V2_31,'#skF_13')
| ~ on_path(E_34469,'#skF_13') ),
inference(resolution,[status(thm)],[c_331298,c_68]) ).
tff(c_331310,plain,
! [V1_30,V2_31] : ~ path(V1_30,V2_31,'#skF_13'),
inference(splitLeft,[status(thm)],[c_331307]) ).
tff(c_331312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331310,c_331154]) ).
tff(c_331313,plain,
! [E_34469] :
( vertex(tail_of(E_34469))
| ~ on_path(E_34469,'#skF_13') ),
inference(splitRight,[status(thm)],[c_331307]) ).
tff(c_332278,plain,
! [V2_34642,E1_34639,E2_34640,P_34641,V1_34643] :
( sequential(E1_34639,E2_34640)
| sequential(E1_34639,'#skF_5'(E1_34639,E2_34640,P_34641,V2_34642,V1_34643))
| ~ precedes(E1_34639,E2_34640,P_34641)
| ~ path(V1_34643,V2_34642,P_34641) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_332297,plain,
! [V2_34642,E1_34639,E2_34640,P_34641,V1_34643] :
( edge('#skF_5'(E1_34639,E2_34640,P_34641,V2_34642,V1_34643))
| sequential(E1_34639,E2_34640)
| ~ precedes(E1_34639,E2_34640,P_34641)
| ~ path(V1_34643,V2_34642,P_34641) ),
inference(resolution,[status(thm)],[c_332278,c_76]) ).
tff(c_332505,plain,
! [E1_34706,P_34709,V2_34710,V1_34707,E2_34708] :
( ( tail_of('#skF_5'(E1_34706,E2_34708,P_34709,V2_34710,V1_34707)) = head_of(E1_34706) )
| sequential(E1_34706,E2_34708)
| ~ precedes(E1_34706,E2_34708,P_34709)
| ~ path(V1_34707,V2_34710,P_34709) ),
inference(resolution,[status(thm)],[c_332278,c_72]) ).
tff(c_333226,plain,
! [E2_34825,V1_34822,E1_34821,V2_34823,P_34824] :
( vertex(head_of(E1_34821))
| ~ edge('#skF_5'(E1_34821,E2_34825,P_34824,V2_34823,V1_34822))
| sequential(E1_34821,E2_34825)
| ~ precedes(E1_34821,E2_34825,P_34824)
| ~ path(V1_34822,V2_34823,P_34824) ),
inference(superposition,[status(thm),theory(equality)],[c_332505,c_4]) ).
tff(c_333233,plain,
! [E2_34828,V1_34827,V2_34830,P_34829,E1_34826] :
( vertex(head_of(E1_34826))
| sequential(E1_34826,E2_34828)
| ~ precedes(E1_34826,E2_34828,P_34829)
| ~ path(V1_34827,V2_34830,P_34829) ),
inference(resolution,[status(thm)],[c_332297,c_333226]) ).
tff(c_333248,plain,
! [V1_34827,V2_34830] :
( vertex(head_of('#skF_11'))
| sequential('#skF_11','#skF_12')
| ~ path(V1_34827,V2_34830,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_333233]) ).
tff(c_333249,plain,
! [V1_34827,V2_34830] : ~ path(V1_34827,V2_34830,'#skF_13'),
inference(splitLeft,[status(thm)],[c_333248]) ).
tff(c_333251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_333249,c_331154]) ).
tff(c_333252,plain,
( sequential('#skF_11','#skF_12')
| vertex(head_of('#skF_11')) ),
inference(splitRight,[status(thm)],[c_333248]) ).
tff(c_333253,plain,
vertex(head_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_333252]) ).
tff(c_332344,plain,
! [V1_34661,V2_34660,E1_34657,E2_34658,P_34659] :
( sequential(E1_34657,E2_34658)
| precedes('#skF_5'(E1_34657,E2_34658,P_34659,V2_34660,V1_34661),E2_34658,P_34659)
| ~ precedes(E1_34657,E2_34658,P_34659)
| ~ path(V1_34661,V2_34660,P_34659) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_334120,plain,
! [E2_34966,V2_34965,E1_34970,P_34971,V1_34969,V1_34968,V2_34967] :
( on_path('#skF_5'(E1_34970,E2_34966,P_34971,V2_34965,V1_34969),P_34971)
| ~ path(V1_34968,V2_34967,P_34971)
| sequential(E1_34970,E2_34966)
| ~ precedes(E1_34970,E2_34966,P_34971)
| ~ path(V1_34969,V2_34965,P_34971) ),
inference(resolution,[status(thm)],[c_332344,c_86]) ).
tff(c_334144,plain,
! [E1_34970,E2_34966,V2_34965,V1_34969] :
( on_path('#skF_5'(E1_34970,E2_34966,'#skF_13',V2_34965,V1_34969),'#skF_13')
| sequential(E1_34970,E2_34966)
| ~ precedes(E1_34970,E2_34966,'#skF_13')
| ~ path(V1_34969,V2_34965,'#skF_13') ),
inference(resolution,[status(thm)],[c_331154,c_334120]) ).
tff(c_331297,plain,
! [E_34465] :
( in_path(tail_of(E_34465),'#skF_13')
| ~ on_path(E_34465,'#skF_13') ),
inference(resolution,[status(thm)],[c_331154,c_331294]) ).
tff(c_334182,plain,
! [E1_34985,V2_34987,P_34988,V1_34986,E2_34989] :
( in_path(head_of(E1_34985),'#skF_13')
| ~ on_path('#skF_5'(E1_34985,E2_34989,P_34988,V2_34987,V1_34986),'#skF_13')
| sequential(E1_34985,E2_34989)
| ~ precedes(E1_34985,E2_34989,P_34988)
| ~ path(V1_34986,V2_34987,P_34988) ),
inference(superposition,[status(thm),theory(equality)],[c_332505,c_331297]) ).
tff(c_334189,plain,
! [E1_34970,E2_34966,V1_34969,V2_34965] :
( in_path(head_of(E1_34970),'#skF_13')
| sequential(E1_34970,E2_34966)
| ~ precedes(E1_34970,E2_34966,'#skF_13')
| ~ path(V1_34969,V2_34965,'#skF_13') ),
inference(resolution,[status(thm)],[c_334144,c_334182]) ).
tff(c_334191,plain,
! [V1_34969,V2_34965] : ~ path(V1_34969,V2_34965,'#skF_13'),
inference(splitLeft,[status(thm)],[c_334189]) ).
tff(c_334193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334191,c_331154]) ).
tff(c_334195,plain,
! [E1_34990,E2_34991] :
( in_path(head_of(E1_34990),'#skF_13')
| sequential(E1_34990,E2_34991)
| ~ precedes(E1_34990,E2_34991,'#skF_13') ),
inference(splitRight,[status(thm)],[c_334189]) ).
tff(c_334211,plain,
( in_path(head_of('#skF_11'),'#skF_13')
| sequential('#skF_11','#skF_12') ),
inference(resolution,[status(thm)],[c_142,c_334195]) ).
tff(c_334212,plain,
sequential('#skF_11','#skF_12'),
inference(splitLeft,[status(thm)],[c_334211]) ).
tff(c_334255,plain,
tail_of('#skF_12') = head_of('#skF_11'),
inference(resolution,[status(thm)],[c_334212,c_72]) ).
tff(c_334296,plain,
( path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty))
| ~ edge('#skF_12')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_12')) ),
inference(superposition,[status(thm),theory(equality)],[c_334255,c_30]) ).
tff(c_334317,plain,
path(head_of('#skF_11'),head_of('#skF_12'),path_cons('#skF_12',empty)),
inference(demodulation,[status(thm),theory(equality)],[c_333253,c_334255,c_331144,c_331281,c_334296]) ).
tff(c_332093,plain,
! [E_34599,V2_34600,TP_34601] :
( ~ path(head_of(E_34599),V2_34600,TP_34601)
| path(tail_of(E_34599),V2_34600,path_cons(E_34599,TP_34601))
| ~ edge(E_34599)
| ~ vertex(V2_34600)
| ~ vertex(tail_of(E_34599)) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_332139,plain,
! [E_34599,TP_34601,V2_34600] :
( ( number_of_in(edges,path_cons(E_34599,TP_34601)) = length_of(path_cons(E_34599,TP_34601)) )
| ~ path(head_of(E_34599),V2_34600,TP_34601)
| ~ edge(E_34599)
| ~ vertex(V2_34600)
| ~ vertex(tail_of(E_34599)) ),
inference(resolution,[status(thm)],[c_332093,c_128]) ).
tff(c_334339,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ edge('#skF_11')
| ~ vertex(head_of('#skF_12'))
| ~ vertex(tail_of('#skF_11')) ),
inference(resolution,[status(thm)],[c_334317,c_332139]) ).
tff(c_334373,plain,
( ( number_of_in(edges,path_cons('#skF_11',path_cons('#skF_12',empty))) = length_of(path_cons('#skF_11',path_cons('#skF_12',empty))) )
| ~ vertex(tail_of('#skF_11')) ),
inference(demodulation,[status(thm),theory(equality)],[c_331144,c_331254,c_334339]) ).
tff(c_334733,plain,
~ vertex(tail_of('#skF_11')),
inference(splitLeft,[status(thm)],[c_334373]) ).
tff(c_334753,plain,
~ on_path('#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_331313,c_334733]) ).
tff(c_334760,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_331228,c_334753]) ).
tff(c_334762,plain,
vertex(tail_of('#skF_11')),
inference(splitRight,[status(thm)],[c_334373]) ).
tff(c_331201,plain,
! [E3_34453] :
( ( tail_of('#skF_11') != head_of(E3_34453) )
| ( tail_of(E3_34453) != head_of('#skF_12') )
| ~ edge(E3_34453) ),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_331690,plain,
! [V1_34541,V2_34542] :
( ( head_of('#skF_1'(V1_34541,V2_34542)) != tail_of('#skF_11') )
| ( tail_of('#skF_1'(V1_34541,V2_34542)) != head_of('#skF_12') )
| ( V2_34542 = V1_34541 )
| ~ vertex(V2_34542)
| ~ vertex(V1_34541) ),
inference(resolution,[status(thm)],[c_170,c_331201]) ).
tff(c_338363,plain,
! [V1_35525,V2_35526] :
( ( head_of('#skF_1'(V1_35525,V2_35526)) != tail_of('#skF_11') )
| ( head_of('#skF_12') != V1_35525 )
| ( V2_35526 = V1_35525 )
| ~ vertex(V2_35526)
| ~ vertex(V1_35525)
| ( head_of('#skF_1'(V1_35525,V2_35526)) = V1_35525 )
| ( V2_35526 = V1_35525 )
| ~ vertex(V2_35526)
| ~ vertex(V1_35525) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_331690]) ).
tff(c_338369,plain,
! [V2_4,V1_3] :
( ( tail_of('#skF_11') != V2_4 )
| ( head_of('#skF_12') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_338363]) ).
tff(c_354611,plain,
! [V2_4,V1_3] :
( ( tail_of('#skF_11') != V2_4 )
| ( head_of('#skF_12') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 ) ),
inference(factorization,[status(thm),theory(equality)],[c_338369]) ).
tff(c_354704,plain,
! [V2_37042,V1_37043] :
( ( tail_of('#skF_11') != V2_37042 )
| ( head_of('#skF_12') != V1_37043 )
| ( V2_37042 = V1_37043 )
| ~ vertex(V2_37042)
| ~ vertex(V1_37043)
| ( head_of('#skF_1'(V1_37043,V2_37042)) = V1_37043 ) ),
inference(factorization,[status(thm),theory(equality)],[c_338369]) ).
tff(c_331213,plain,
( ( tail_of('#skF_11') != head_of('#skF_14') )
| ( tail_of('#skF_14') != head_of('#skF_12') ) ),
inference(resolution,[status(thm)],[c_212204,c_331201]) ).
tff(c_331219,plain,
tail_of('#skF_11') != head_of('#skF_14'),
inference(demodulation,[status(thm),theory(equality)],[c_331135,c_331213]) ).
tff(c_331230,plain,
! [E3_34459] :
( ( head_of(E3_34459) != head_of('#skF_12') )
| ( tail_of(E3_34459) != tail_of('#skF_11') )
| ~ edge(E3_34459) ),
inference(negUnitSimplification,[status(thm)],[c_331219,c_154]) ).
tff(c_331798,plain,
! [V1_34548,V2_34549] :
( ( head_of('#skF_1'(V1_34548,V2_34549)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_34548,V2_34549)) != tail_of('#skF_11') )
| ( V2_34549 = V1_34548 )
| ~ vertex(V2_34549)
| ~ vertex(V1_34548) ),
inference(resolution,[status(thm)],[c_170,c_331230]) ).
tff(c_338557,plain,
! [V1_35529,V2_35530] :
( ( head_of('#skF_1'(V1_35529,V2_35530)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V2_35530 )
| ( V2_35530 = V1_35529 )
| ~ vertex(V2_35530)
| ~ vertex(V1_35529)
| ( tail_of('#skF_1'(V1_35529,V2_35530)) = V1_35529 )
| ( V2_35530 = V1_35529 )
| ~ vertex(V2_35530)
| ~ vertex(V1_35529) ),
inference(superposition,[status(thm),theory(equality)],[c_166,c_331798]) ).
tff(c_331183,plain,
! [V1_34448,V2_34449] :
( edge('#skF_1'(V1_34448,V2_34449))
| ( V2_34449 = V1_34448 )
| ~ vertex(V2_34449)
| ~ vertex(V1_34448) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_331187,plain,
! [V1_34448,V2_34449] :
( ( tail_of('#skF_1'(V1_34448,V2_34449)) != head_of('#skF_1'(V1_34448,V2_34449)) )
| ( V2_34449 = V1_34448 )
| ~ vertex(V2_34449)
| ~ vertex(V1_34448) ),
inference(resolution,[status(thm)],[c_331183,c_2]) ).
tff(c_338656,plain,
! [V1_35529,V2_35530] :
( ( head_of('#skF_1'(V1_35529,V2_35530)) != V1_35529 )
| ( V2_35530 = V1_35529 )
| ~ vertex(V2_35530)
| ~ vertex(V1_35529)
| ( head_of('#skF_1'(V1_35529,V2_35530)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V2_35530 )
| ( V2_35530 = V1_35529 )
| ~ vertex(V2_35530)
| ~ vertex(V1_35529)
| ( V2_35530 = V1_35529 )
| ~ vertex(V2_35530)
| ~ vertex(V1_35529) ),
inference(superposition,[status(thm),theory(equality)],[c_338557,c_331187]) ).
tff(c_354898,plain,
! [V1_37044,V2_37045] :
( ( head_of('#skF_1'(V1_37044,V2_37045)) != head_of('#skF_12') )
| ( tail_of('#skF_11') != V2_37045 )
| ( head_of('#skF_12') != V1_37044 )
| ( V2_37045 = V1_37044 )
| ~ vertex(V2_37045)
| ~ vertex(V1_37044) ),
inference(superposition,[status(thm),theory(equality)],[c_354704,c_338656]) ).
tff(c_356376,plain,
! [V1_37113,V2_37114] :
( ( head_of('#skF_12') != V1_37113 )
| ( tail_of('#skF_11') != V2_37114 )
| ( head_of('#skF_12') != V1_37113 )
| ( V2_37114 = V1_37113 )
| ~ vertex(V2_37114)
| ~ vertex(V1_37113)
| ( head_of('#skF_1'(V1_37113,V2_37114)) = V2_37114 )
| ( V2_37114 = V1_37113 )
| ~ vertex(V2_37114)
| ~ vertex(V1_37113) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_354898]) ).
tff(c_331473,plain,
! [V1_34536,V2_34537] :
( ( tail_of('#skF_1'(V1_34536,V2_34537)) = V2_34537 )
| ( tail_of('#skF_1'(V1_34536,V2_34537)) = V1_34536 )
| ( V2_34537 = V1_34536 )
| ~ vertex(V2_34537)
| ~ vertex(V1_34536) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_333581,plain,
! [V1_34874,V2_34875] :
( ( head_of('#skF_1'(V1_34874,V2_34875)) != V1_34874 )
| ( V2_34875 = V1_34874 )
| ~ vertex(V2_34875)
| ~ vertex(V1_34874)
| ( tail_of('#skF_1'(V1_34874,V2_34875)) = V2_34875 )
| ( V2_34875 = V1_34874 )
| ~ vertex(V2_34875)
| ~ vertex(V1_34874) ),
inference(superposition,[status(thm),theory(equality)],[c_331473,c_331187]) ).
tff(c_331488,plain,
! [V1_34536,V2_34537] :
( ( head_of('#skF_1'(V1_34536,V2_34537)) != V2_34537 )
| ( V2_34537 = V1_34536 )
| ~ vertex(V2_34537)
| ~ vertex(V1_34536)
| ( tail_of('#skF_1'(V1_34536,V2_34537)) = V1_34536 )
| ( V2_34537 = V1_34536 )
| ~ vertex(V2_34537)
| ~ vertex(V1_34536) ),
inference(superposition,[status(thm),theory(equality)],[c_331473,c_331187]) ).
tff(c_333538,plain,
! [V1_34870,V2_34871] :
( ( tail_of('#skF_1'(V1_34870,V2_34871)) != V1_34870 )
| ( head_of('#skF_1'(V1_34870,V2_34871)) != V2_34871 )
| ( tail_of('#skF_1'(V1_34870,V2_34871)) != V2_34871 )
| ( head_of('#skF_1'(V1_34870,V2_34871)) != V1_34870 )
| ( V2_34871 = V1_34870 )
| ~ vertex(V2_34871)
| ~ vertex(V1_34870) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_10]) ).
tff(c_333549,plain,
! [V1_34536,V2_34537] :
( ( tail_of('#skF_1'(V1_34536,V2_34537)) != V2_34537 )
| ( head_of('#skF_1'(V1_34536,V2_34537)) != V1_34536 )
| ( head_of('#skF_1'(V1_34536,V2_34537)) != V2_34537 )
| ( V2_34537 = V1_34536 )
| ~ vertex(V2_34537)
| ~ vertex(V1_34536) ),
inference(superposition,[status(thm),theory(equality)],[c_331488,c_333538]) ).
tff(c_333658,plain,
! [V1_34874,V2_34875] :
( ( head_of('#skF_1'(V1_34874,V2_34875)) != V2_34875 )
| ( head_of('#skF_1'(V1_34874,V2_34875)) != V1_34874 )
| ( V2_34875 = V1_34874 )
| ~ vertex(V2_34875)
| ~ vertex(V1_34874) ),
inference(superposition,[status(thm),theory(equality)],[c_333581,c_333549]) ).
tff(c_356576,plain,
! [V1_37115,V2_37116] :
( ( head_of('#skF_1'(V1_37115,V2_37116)) != V1_37115 )
| ( tail_of('#skF_11') != V2_37116 )
| ( head_of('#skF_12') != V1_37115 )
| ( V2_37116 = V1_37115 )
| ~ vertex(V2_37116)
| ~ vertex(V1_37115) ),
inference(superposition,[status(thm),theory(equality)],[c_356376,c_333658]) ).
tff(c_356599,plain,
! [V2_37117,V1_37118] :
( ( tail_of('#skF_11') != V2_37117 )
| ( head_of('#skF_12') != V1_37118 )
| ( V2_37117 = V1_37118 )
| ~ vertex(V2_37117)
| ~ vertex(V1_37118) ),
inference(superposition,[status(thm),theory(equality)],[c_354611,c_356576]) ).
tff(c_356745,plain,
! [V1_37119] :
( ( head_of('#skF_12') != V1_37119 )
| ( tail_of('#skF_11') = V1_37119 )
| ~ vertex(V1_37119) ),
inference(resolution,[status(thm)],[c_334762,c_356599]) ).
tff(c_356883,plain,
tail_of('#skF_11') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_331144,c_356745]) ).
tff(c_356944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331903,c_356883]) ).
tff(c_356945,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_331902]) ).
tff(c_331229,plain,
! [E3_99] :
( ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(negUnitSimplification,[status(thm)],[c_331219,c_154]) ).
tff(c_331291,plain,
tail_of('#skF_11') != tail_of('#skF_12'),
inference(resolution,[status(thm)],[c_331281,c_331229]) ).
tff(c_356966,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_356945,c_331291]) ).
tff(c_356967,plain,
! [V1_34483,V2_34485] : ~ shortest_path(V1_34483,V2_34485,'#skF_13'),
inference(splitRight,[status(thm)],[c_331347]) ).
tff(c_356970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_356967,c_144]) ).
tff(c_356971,plain,
tail_of('#skF_11') = tail_of('#skF_15'),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_356976,plain,
( vertex(tail_of('#skF_15'))
| ~ edge('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_356971,c_4]) ).
tff(c_356980,plain,
~ edge('#skF_11'),
inference(splitLeft,[status(thm)],[c_356976]) ).
tff(c_357097,plain,
! [E_37158,P_37159,V1_37160,V2_37161] :
( in_path(tail_of(E_37158),P_37159)
| ~ on_path(E_37158,P_37159)
| ~ path(V1_37160,V2_37161,P_37159) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_357101,plain,
! [E_37162] :
( in_path(tail_of(E_37162),'#skF_13')
| ~ on_path(E_37162,'#skF_13') ),
inference(resolution,[status(thm)],[c_331154,c_357097]) ).
tff(c_357109,plain,
( in_path(tail_of('#skF_15'),'#skF_13')
| ~ on_path('#skF_11','#skF_13') ),
inference(superposition,[status(thm),theory(equality)],[c_356971,c_357101]) ).
tff(c_357114,plain,
~ on_path('#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_357109]) ).
tff(c_357144,plain,
! [E2_37171,V2_37173,E1_37170,P_37172,V1_37174] :
( on_path(E1_37170,P_37172)
| ~ precedes(E1_37170,E2_37171,P_37172)
| ~ path(V1_37174,V2_37173,P_37172) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_357146,plain,
! [V1_37174,V2_37173] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_37174,V2_37173,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_357144]) ).
tff(c_357149,plain,
! [V1_37174,V2_37173] : ~ path(V1_37174,V2_37173,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_357114,c_357146]) ).
tff(c_357151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357149,c_331154]) ).
tff(c_357153,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_357109]) ).
tff(c_357155,plain,
! [V1_26,V2_27] :
( edge('#skF_11')
| ~ path(V1_26,V2_27,'#skF_13') ),
inference(resolution,[status(thm)],[c_357153,c_62]) ).
tff(c_357158,plain,
! [V1_26,V2_27] : ~ path(V1_26,V2_27,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_356980,c_357155]) ).
tff(c_357164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357158,c_331154]) ).
tff(c_357166,plain,
edge('#skF_11'),
inference(splitRight,[status(thm)],[c_356976]) ).
tff(c_357291,plain,
! [E_37207,P_37208,V1_37209,V2_37210] :
( in_path(tail_of(E_37207),P_37208)
| ~ on_path(E_37207,P_37208)
| ~ path(V1_37209,V2_37210,P_37208) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_357295,plain,
! [E_37211] :
( in_path(tail_of(E_37211),'#skF_13')
| ~ on_path(E_37211,'#skF_13') ),
inference(resolution,[status(thm)],[c_331154,c_357291]) ).
tff(c_357303,plain,
( in_path(tail_of('#skF_15'),'#skF_13')
| ~ on_path('#skF_11','#skF_13') ),
inference(superposition,[status(thm),theory(equality)],[c_356971,c_357295]) ).
tff(c_357308,plain,
~ on_path('#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_357303]) ).
tff(c_357309,plain,
! [V2_37215,V1_37216,E2_37213,E1_37212,P_37214] :
( on_path(E1_37212,P_37214)
| ~ precedes(E1_37212,E2_37213,P_37214)
| ~ path(V1_37216,V2_37215,P_37214) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_357311,plain,
! [V1_37216,V2_37215] :
( on_path('#skF_11','#skF_13')
| ~ path(V1_37216,V2_37215,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_357309]) ).
tff(c_357314,plain,
! [V1_37216,V2_37215] : ~ path(V1_37216,V2_37215,'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_357308,c_357311]) ).
tff(c_357316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357314,c_331154]) ).
tff(c_357318,plain,
on_path('#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_357303]) ).
tff(c_357992,plain,
! [P_37308,V2_37305,E2_37309,E1_37307,V1_37306] :
( ~ sequential(E1_37307,E2_37309)
| precedes(E1_37307,E2_37309,P_37308)
| ~ on_path(E2_37309,P_37308)
| ~ on_path(E1_37307,P_37308)
| ~ path(V1_37306,V2_37305,P_37308) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_358005,plain,
! [E1_37310,E2_37311] :
( ~ sequential(E1_37310,E2_37311)
| precedes(E1_37310,E2_37311,'#skF_13')
| ~ on_path(E2_37311,'#skF_13')
| ~ on_path(E1_37310,'#skF_13') ),
inference(resolution,[status(thm)],[c_331154,c_357992]) ).
tff(c_357372,plain,
! [V2_37238,P_37235,E1_37239,E2_37237,V1_37236] :
( ~ precedes(E2_37237,E1_37239,P_37235)
| ~ precedes(E1_37239,E2_37237,P_37235)
| ~ shortest_path(V1_37236,V2_37238,P_37235) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_357375,plain,
! [V1_37236,V2_37238] :
( ~ precedes('#skF_12','#skF_11','#skF_13')
| ~ shortest_path(V1_37236,V2_37238,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_357372]) ).
tff(c_357376,plain,
~ precedes('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_357375]) ).
tff(c_358010,plain,
( ~ sequential('#skF_12','#skF_11')
| ~ on_path('#skF_11','#skF_13')
| ~ on_path('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_358005,c_357376]) ).
tff(c_358020,plain,
~ sequential('#skF_12','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_357267,c_357318,c_358010]) ).
tff(c_358026,plain,
( ( tail_of('#skF_11') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' )
| ~ edge('#skF_11')
| ~ edge('#skF_12') ),
inference(resolution,[status(thm)],[c_70,c_358020]) ).
tff(c_358029,plain,
( ( tail_of('#skF_15') != head_of('#skF_12') )
| ( '#skF_11' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357278,c_357166,c_356971,c_358026]) ).
tff(c_358031,plain,
tail_of('#skF_15') != head_of('#skF_12'),
inference(splitLeft,[status(thm)],[c_358029]) ).
tff(c_357165,plain,
vertex(tail_of('#skF_15')),
inference(splitRight,[status(thm)],[c_356976]) ).
tff(c_356972,plain,
! [E3_99] :
( ( head_of(E3_99) != head_of('#skF_12') )
| ( tail_of(E3_99) != tail_of('#skF_11') )
| ~ edge(E3_99) ),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_357235,plain,
! [E3_37195] :
( ( head_of(E3_37195) != head_of('#skF_12') )
| ( tail_of(E3_37195) != tail_of('#skF_15') )
| ~ edge(E3_37195) ),
inference(demodulation,[status(thm),theory(equality)],[c_356971,c_356972]) ).
tff(c_357733,plain,
! [V1_37290,V2_37291] :
( ( head_of('#skF_1'(V1_37290,V2_37291)) != head_of('#skF_12') )
| ( tail_of('#skF_1'(V1_37290,V2_37291)) != tail_of('#skF_15') )
| ( V2_37291 = V1_37290 )
| ~ vertex(V2_37291)
| ~ vertex(V1_37290) ),
inference(resolution,[status(thm)],[c_170,c_357235]) ).
tff(c_366514,plain,
! [V1_38362,V2_38363] :
( ( head_of('#skF_1'(V1_38362,V2_38363)) != head_of('#skF_12') )
| ( tail_of('#skF_15') != V1_38362 )
| ( V2_38363 = V1_38362 )
| ~ vertex(V2_38363)
| ~ vertex(V1_38362)
| ( head_of('#skF_1'(V1_38362,V2_38363)) = V1_38362 )
| ( V2_38363 = V1_38362 )
| ~ vertex(V2_38363)
| ~ vertex(V1_38362) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_357733]) ).
tff(c_366520,plain,
! [V2_4,V1_3] :
( ( head_of('#skF_12') != V2_4 )
| ( tail_of('#skF_15') != V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V1_3 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_366514]) ).
tff(c_384500,plain,
! [V2_40055,V1_40056] :
( ( head_of('#skF_12') != V2_40055 )
| ( tail_of('#skF_15') != V1_40056 )
| ( V2_40055 = V1_40056 )
| ~ vertex(V2_40055)
| ~ vertex(V1_40056)
| ( head_of('#skF_1'(V1_40056,V2_40055)) = V1_40056 ) ),
inference(factorization,[status(thm),theory(equality)],[c_366520]) ).
tff(c_357912,plain,
! [V1_37300,V2_37301] :
( ( tail_of('#skF_1'(V1_37300,V2_37301)) = V2_37301 )
| ( head_of('#skF_1'(V1_37300,V2_37301)) = V2_37301 )
| ( V2_37301 = V1_37300 )
| ~ vertex(V2_37301)
| ~ vertex(V1_37300) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_24]) ).
tff(c_357185,plain,
! [E3_100] :
( ( head_of('#skF_15') = head_of('#skF_12') )
| ( tail_of('#skF_15') != head_of(E3_100) )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(demodulation,[status(thm),theory(equality)],[c_356971,c_148]) ).
tff(c_357210,plain,
! [E3_37194] :
( ( tail_of('#skF_15') != head_of(E3_37194) )
| ( tail_of(E3_37194) != head_of('#skF_12') )
| ~ edge(E3_37194) ),
inference(splitLeft,[status(thm)],[c_357185]) ).
tff(c_357226,plain,
! [V1_3,V2_4] :
( ( head_of('#skF_1'(V1_3,V2_4)) != tail_of('#skF_15') )
| ( tail_of('#skF_1'(V1_3,V2_4)) != head_of('#skF_12') )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(resolution,[status(thm)],[c_170,c_357210]) ).
tff(c_366506,plain,
! [V1_38360,V2_38361] :
( ( head_of('#skF_1'(V1_38360,V2_38361)) != tail_of('#skF_15') )
| ( head_of('#skF_12') != V2_38361 )
| ( V2_38361 = V1_38360 )
| ~ vertex(V2_38361)
| ~ vertex(V1_38360)
| ( head_of('#skF_1'(V1_38360,V2_38361)) = V2_38361 )
| ( V2_38361 = V1_38360 )
| ~ vertex(V2_38361)
| ~ vertex(V1_38360) ),
inference(superposition,[status(thm),theory(equality)],[c_357912,c_357226]) ).
tff(c_366509,plain,
! [V1_3,V2_4] :
( ( tail_of('#skF_15') != V1_3 )
| ( head_of('#skF_12') != V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3)
| ( head_of('#skF_1'(V1_3,V2_4)) = V2_4 )
| ( V2_4 = V1_3 )
| ~ vertex(V2_4)
| ~ vertex(V1_3) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_366506]) ).
tff(c_383488,plain,
! [V1_39941,V2_39942] :
( ( tail_of('#skF_15') != V1_39941 )
| ( head_of('#skF_12') != V2_39942 )
| ( V2_39942 = V1_39941 )
| ~ vertex(V2_39942)
| ~ vertex(V1_39941)
| ( head_of('#skF_1'(V1_39941,V2_39942)) = V2_39942 ) ),
inference(factorization,[status(thm),theory(equality)],[c_366509]) ).
tff(c_357772,plain,
! [V1_37293,V2_37294] :
( ( tail_of('#skF_1'(V1_37293,V2_37294)) = V2_37294 )
| ( tail_of('#skF_1'(V1_37293,V2_37294)) = V1_37293 )
| ( V2_37294 = V1_37293 )
| ~ vertex(V2_37294)
| ~ vertex(V1_37293) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_18]) ).
tff(c_357193,plain,
! [V1_37189,V2_37190] :
( edge('#skF_1'(V1_37189,V2_37190))
| ( V2_37190 = V1_37189 )
| ~ vertex(V2_37190)
| ~ vertex(V1_37189) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_357197,plain,
! [V1_37189,V2_37190] :
( ( tail_of('#skF_1'(V1_37189,V2_37190)) != head_of('#skF_1'(V1_37189,V2_37190)) )
| ( V2_37190 = V1_37189 )
| ~ vertex(V2_37190)
| ~ vertex(V1_37189) ),
inference(resolution,[status(thm)],[c_357193,c_2]) ).
tff(c_360120,plain,
! [V1_37651,V2_37652] :
( ( head_of('#skF_1'(V1_37651,V2_37652)) != V1_37651 )
| ( V2_37652 = V1_37651 )
| ~ vertex(V2_37652)
| ~ vertex(V1_37651)
| ( tail_of('#skF_1'(V1_37651,V2_37652)) = V2_37652 )
| ( V2_37652 = V1_37651 )
| ~ vertex(V2_37652)
| ~ vertex(V1_37651) ),
inference(superposition,[status(thm),theory(equality)],[c_357772,c_357197]) ).
tff(c_359894,plain,
! [V1_37628,V2_37629] :
( ( head_of('#skF_1'(V1_37628,V2_37629)) != V2_37629 )
| ( V2_37629 = V1_37628 )
| ~ vertex(V2_37629)
| ~ vertex(V1_37628)
| ( tail_of('#skF_1'(V1_37628,V2_37629)) = V1_37628 )
| ( V2_37629 = V1_37628 )
| ~ vertex(V2_37629)
| ~ vertex(V1_37628) ),
inference(superposition,[status(thm),theory(equality)],[c_357772,c_357197]) ).
tff(c_359967,plain,
! [V1_37628,V2_37629] :
( ( tail_of('#skF_1'(V1_37628,V2_37629)) != V2_37629 )
| ( head_of('#skF_1'(V1_37628,V2_37629)) != V1_37628 )
| ( head_of('#skF_1'(V1_37628,V2_37629)) != V2_37629 )
| ( V2_37629 = V1_37628 )
| ~ vertex(V2_37629)
| ~ vertex(V1_37628) ),
inference(superposition,[status(thm),theory(equality)],[c_359894,c_168]) ).
tff(c_360200,plain,
! [V1_37651,V2_37652] :
( ( head_of('#skF_1'(V1_37651,V2_37652)) != V2_37652 )
| ( head_of('#skF_1'(V1_37651,V2_37652)) != V1_37651 )
| ( V2_37652 = V1_37651 )
| ~ vertex(V2_37652)
| ~ vertex(V1_37651) ),
inference(superposition,[status(thm),theory(equality)],[c_360120,c_359967]) ).
tff(c_383685,plain,
! [V1_39941,V2_39942] :
( ( head_of('#skF_1'(V1_39941,V2_39942)) != V1_39941 )
| ( tail_of('#skF_15') != V1_39941 )
| ( head_of('#skF_12') != V2_39942 )
| ( V2_39942 = V1_39941 )
| ~ vertex(V2_39942)
| ~ vertex(V1_39941) ),
inference(superposition,[status(thm),theory(equality)],[c_383488,c_360200]) ).
tff(c_384721,plain,
! [V2_40059,V1_40060] :
( ( head_of('#skF_12') != V2_40059 )
| ( tail_of('#skF_15') != V1_40060 )
| ( V2_40059 = V1_40060 )
| ~ vertex(V2_40059)
| ~ vertex(V1_40060) ),
inference(superposition,[status(thm),theory(equality)],[c_384500,c_383685]) ).
tff(c_384882,plain,
! [V1_40061] :
( ( tail_of('#skF_15') != V1_40061 )
| ( head_of('#skF_12') = V1_40061 )
| ~ vertex(V1_40061) ),
inference(resolution,[status(thm)],[c_331144,c_384721]) ).
tff(c_385026,plain,
tail_of('#skF_15') = head_of('#skF_12'),
inference(resolution,[status(thm)],[c_357165,c_384882]) ).
tff(c_385095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_358031,c_385026]) ).
tff(c_385096,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_358029]) ).
tff(c_357244,plain,
( ( head_of('#skF_11') != head_of('#skF_12') )
| ( tail_of('#skF_11') != tail_of('#skF_15') ) ),
inference(resolution,[status(thm)],[c_357166,c_357235]) ).
tff(c_357255,plain,
head_of('#skF_11') != head_of('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_356971,c_357244]) ).
tff(c_385122,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_385096,c_357255]) ).
tff(c_385123,plain,
! [V1_37236,V2_37238] : ~ shortest_path(V1_37236,V2_37238,'#skF_13'),
inference(splitRight,[status(thm)],[c_357375]) ).
tff(c_385126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385123,c_144]) ).
tff(c_385127,plain,
head_of('#skF_15') = head_of('#skF_12'),
inference(splitRight,[status(thm)],[c_357185]) ).
tff(c_385150,plain,
! [E3_40071] :
( ( head_of(E3_40071) != head_of('#skF_12') )
| ( tail_of(E3_40071) != tail_of('#skF_15') )
| ~ edge(E3_40071) ),
inference(demodulation,[status(thm),theory(equality)],[c_356971,c_356972]) ).
tff(c_385162,plain,
head_of('#skF_15') != head_of('#skF_12'),
inference(resolution,[status(thm)],[c_285820,c_385150]) ).
tff(c_385174,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_385127,c_385162]) ).
tff(c_385175,plain,
tail_of('#skF_11') = head_of('#skF_14'),
inference(splitRight,[status(thm)],[c_154]) ).
tff(c_385183,plain,
tail_of('#skF_15') = head_of('#skF_14'),
inference(demodulation,[status(thm),theory(equality)],[c_385175,c_356971]) ).
tff(c_385204,plain,
! [E3_100] :
( ( head_of('#skF_15') = head_of('#skF_12') )
| ( head_of(E3_100) != head_of('#skF_14') )
| ( tail_of(E3_100) != head_of('#skF_12') )
| ~ edge(E3_100) ),
inference(demodulation,[status(thm),theory(equality)],[c_385175,c_148]) ).
tff(c_385241,plain,
! [E3_40091] :
( ( head_of(E3_40091) != head_of('#skF_14') )
| ( tail_of(E3_40091) != head_of('#skF_12') )
| ~ edge(E3_40091) ),
inference(splitLeft,[status(thm)],[c_385204]) ).
tff(c_385253,plain,
tail_of('#skF_14') != head_of('#skF_12'),
inference(resolution,[status(thm)],[c_212204,c_385241]) ).
tff(c_385261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_331135,c_385253]) ).
tff(c_385262,plain,
head_of('#skF_15') = head_of('#skF_12'),
inference(splitRight,[status(thm)],[c_385204]) ).
tff(c_385465,plain,
! [E2_40156,V2_40157,P_40154,E3_40159,V1_40155,E1_40158] :
( ( head_of(E3_40159) != head_of(E2_40156) )
| ( tail_of(E3_40159) != tail_of(E1_40158) )
| ~ precedes(E1_40158,E2_40156,P_40154)
| ~ shortest_path(V1_40155,V2_40157,P_40154) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_385467,plain,
! [E2_40156,V2_40157,P_40154,V1_40155,E1_40158] :
( ( head_of(E2_40156) != head_of('#skF_12') )
| ( tail_of(E1_40158) != tail_of('#skF_15') )
| ~ precedes(E1_40158,E2_40156,P_40154)
| ~ shortest_path(V1_40155,V2_40157,P_40154) ),
inference(superposition,[status(thm),theory(equality)],[c_385262,c_385465]) ).
tff(c_386300,plain,
! [E1_40234,E2_40233,V1_40235,V2_40236,P_40232] :
( ( head_of(E2_40233) != head_of('#skF_12') )
| ( tail_of(E1_40234) != head_of('#skF_14') )
| ~ precedes(E1_40234,E2_40233,P_40232)
| ~ shortest_path(V1_40235,V2_40236,P_40232) ),
inference(demodulation,[status(thm),theory(equality)],[c_385183,c_385467]) ).
tff(c_386304,plain,
! [V1_40235,V2_40236] :
( ( tail_of('#skF_11') != head_of('#skF_14') )
| ~ shortest_path(V1_40235,V2_40236,'#skF_13') ),
inference(resolution,[status(thm)],[c_142,c_386300]) ).
tff(c_386308,plain,
! [V1_40235,V2_40236] : ~ shortest_path(V1_40235,V2_40236,'#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_385175,c_386304]) ).
tff(c_386310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386308,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRA006+1 : TPTP v9.0.0. Bugfixed v3.2.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 20:50:06 EDT 2025
% 0.13/0.34 % CPUTime :
% 134.79/110.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 135.19/110.87
% 135.19/110.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------