%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN499-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:15:05 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 206
% Syntax : Number of formulae : 846 ( 20 unt; 111 def)
% Number of atoms : 2926 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3594 (1514 ~;1969 |; 0 &)
% ( 111 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 139 ( 138 usr; 135 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 202 ( 0 sgn 202 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f22,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f25,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f32,negated_conjecture,
( hskp30
| hskp9
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f36,negated_conjecture,
( hskp12
| hskp19
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f41,negated_conjecture,
( ~ hskp29
| c0_1(a136) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( ~ hskp29
| c1_1(a136) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp29
| c2_1(a136) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp28
| c1_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp28
| c2_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp28
| c3_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp27
| c0_1(a122) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp27
| c2_1(a122) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp27
| c3_1(a122) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f54,negated_conjecture,
( ~ hskp22
| c0_1(a176) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f58,negated_conjecture,
( ~ hskp19
| c1_1(a164) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp19
| c3_1(a164) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp18
| c3_1(a160) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp17
| c1_1(a155) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp16
| c1_1(a154) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp16
| c3_1(a154) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp15
| c2_1(a153) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp15
| c3_1(a153) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f67,negated_conjecture,
( ~ hskp13
| c2_1(a143) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp13
| c3_1(a143) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp12
| c0_1(a142) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp12
| c3_1(a142) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f72,negated_conjecture,
( ~ hskp9
| c0_1(a138) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp9
| c1_1(a138) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp8
| c2_1(a134) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp7
| c3_1(a132) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp4
| c0_1(a128) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp4
| c1_1(a128) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp3
| c1_1(a127) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp2
| c1_1(a125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp2
| c2_1(a125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp1
| c1_1(a124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f83,negated_conjecture,
( ~ hskp0
| c2_1(a123) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f87,negated_conjecture,
( ~ c0_1(a182)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f89,negated_conjecture,
( ~ c3_1(a182)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f92,negated_conjecture,
( ~ c1_1(a176)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ c2_1(a176)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f97,negated_conjecture,
( ~ c2_1(a164)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c1_1(a160)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c2_1(a160)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c0_1(a155)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c2_1(a155)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f103,negated_conjecture,
( ~ c0_1(a153)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f106,negated_conjecture,
( ~ c1_1(a143)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c1_1(a142)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f113,negated_conjecture,
( ~ c2_1(a138)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c0_1(a134)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c3_1(a134)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c0_1(a132)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c2_1(a132)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f125,negated_conjecture,
( ~ c2_1(a127)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c3_1(a127)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c0_1(a125)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c3_1(a124)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ c0_1(a123)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c1_1(a123)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f137,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp28
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp19
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp15
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f145,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp29
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp0
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp3
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp0
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp22
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp1
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f158,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp15
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f161,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp27
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f165,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp2
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp9
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp3
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X2)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X2)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c3_1(X1)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
fof(f205,plain,
( hskp30
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f226,plain,
( ~ hskp9
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f229,plain,
( ~ hskp6
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f236,plain,
( ~ hskp30
| hskp9
| hskp6 ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f239,plain,
( ~ hskp12
| hskp19
| hskp13 ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f244,plain,
( hskp29
| c0_1(a136) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f245,plain,
( hskp29
| ~ c1_1(a136) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f246,plain,
( hskp29
| c2_1(a136) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f247,plain,
( hskp28
| ~ c1_1(a133) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f248,plain,
( hskp28
| c2_1(a133) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f249,plain,
( hskp28
| c3_1(a133) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f251,plain,
( ~ hskp19
| ~ c1_1(a164) ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f252,plain,
( hskp17
| ~ c1_1(a155) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f253,plain,
( ~ hskp16
| ~ c1_1(a154) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f254,plain,
( hskp12
| c0_1(a142) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f255,plain,
( hskp12
| c3_1(a142) ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f257,plain,
( ~ hskp9
| ~ c1_1(a138) ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f258,plain,
( ~ hskp4
| ~ c1_1(a128) ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f259,plain,
( ~ hskp3
| ~ c1_1(a127) ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f260,plain,
( hskp2
| ~ c1_1(a125) ),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f261,plain,
( hskp2
| c2_1(a125) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f262,plain,
( hskp1
| ~ c1_1(a124) ),
inference(consistent_polarity_flipping,[],[f81]) ).
fof(f266,plain,
( c1_1(a176)
| ~ hskp22 ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f270,plain,
( c1_1(a160)
| ~ hskp18 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f271,plain,
( ~ c0_1(a155)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f272,plain,
( ~ c2_1(a155)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f274,plain,
( c1_1(a143)
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f275,plain,
( c1_1(a142)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f281,plain,
( ~ c0_1(a125)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f282,plain,
( ~ c3_1(a124)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f283,plain,
( c1_1(a123)
| ~ hskp0 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f290,plain,
! [X0] :
( c1_1(X0)
| ndr1_0
| c0_1(X0)
| c2_1(X0)
| ~ hskp28
| hskp3 ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f293,plain,
! [X0] :
( ~ c0_1(X0)
| ndr1_0
| ~ c1_1(X0)
| c2_1(X0)
| hskp19
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f140]) ).
fof(f295,plain,
! [X0] :
( c1_1(X0)
| ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp15
| hskp24 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f296,plain,
! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ndr1_0
| c3_1(X0)
| hskp22 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f298,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c0_1(X0)
| ~ hskp29
| hskp7 ),
inference(consistent_polarity_flipping,[],[f145]) ).
fof(f299,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c0_1(X0)
| hskp0
| hskp18 ),
inference(consistent_polarity_flipping,[],[f146]) ).
fof(f301,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ndr1_0
| ~ c1_1(X0)
| hskp3
| hskp15 ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f302,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ndr1_0
| ~ c1_1(X0)
| hskp0
| hskp7 ),
inference(consistent_polarity_flipping,[],[f149]) ).
fof(f303,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| ~ c1_1(X0)
| hskp22
| hskp7 ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f307,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c2_1(X0)
| ~ hskp1
| hskp3 ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f311,plain,
! [X0] :
( c1_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c2_1(X0)
| hskp15
| hskp13 ),
inference(consistent_polarity_flipping,[],[f158]) ).
fof(f314,plain,
! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ndr1_0
| c3_1(X0)
| hskp27
| hskp19 ),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f318,plain,
! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0)
| ndr1_0
| ~ hskp2
| hskp19 ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f319,plain,
! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| hskp9
| hskp8 ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f320,plain,
! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| hskp3
| hskp13 ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f325,plain,
! [X0,X1] :
( c1_1(X0)
| ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| hskp4 ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f326,plain,
! [X0,X1] :
( ~ c3_1(X0)
| ndr1_0
| c1_1(X1)
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| ~ hskp12 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f327,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ndr1_0
| c1_1(X1)
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f329,plain,
! [X0,X1] :
( c1_1(X0)
| ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| ~ hskp29 ),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f334,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp8 ),
inference(consistent_polarity_flipping,[],[f181]) ).
fof(f335,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c1_1(X0)
| ndr1_0
| c1_1(X1)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| ~ hskp28 ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f339,plain,
! [X0,X1] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp16 ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ c3_1(X0)
| ndr1_0
| c1_1(X1)
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f345,plain,
! [X2,X0,X1] :
( c1_1(X0)
| ~ c2_1(X0)
| ndr1_0
| c1_1(X1)
| ~ c3_1(X2)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ndr1_0
| ~ c3_1(X1)
| c1_1(X2)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2) ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f348,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ndr1_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
inference(consistent_polarity_flipping,[],[f195]) ).
fof(f349,plain,
! [X2,X0,X1] :
( c1_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c1_1(X1)
| ~ c2_1(X2)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c1_1(X1)
| ~ c3_1(X2)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| ~ c1_1(X2)
| c2_1(X2) ),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f353,plain,
! [X2,X0,X1] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| c0_1(X2)
| ~ c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f200]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c1_1(X1)
| ~ c2_1(X1)
| c1_1(X2)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X1)
| c2_1(X1)
| c0_1(X2) ),
inference(consistent_polarity_flipping,[],[f202]) ).
fof(f356,plain,
! [X2,X0,X1] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c1_1(X1)
| ~ c2_1(X1)
| c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f203]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0)
| ndr1_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c3_1(X1)
| ~ c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f204]) ).
fof(f359,definition,
( spl0_1
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f360,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,definition,
( spl0_2
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f363,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f365,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f369,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f370,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f357,f369,f365,f362,f359]) ).
fof(f373,definition,
( spl0_5
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f374,plain,
( ! [X2] :
( c3_1(X2)
| c1_1(X2)
| c2_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f376,definition,
( spl0_6
<=> ! [X0] :
( c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f377,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f378,plain,
( spl0_5
| spl0_2
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f356,f376,f365,f362,f373]) ).
fof(f380,definition,
( spl0_7
<=> ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f381,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| ~ c3_1(X2) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f383,definition,
( spl0_8
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f384,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( spl0_7
| spl0_8
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f355,f369,f365,f383,f380]) ).
fof(f387,definition,
( spl0_9
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f388,plain,
( ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f390,definition,
( spl0_10
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f391,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f392,plain,
( spl0_9
| spl0_2
| spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f354,f390,f365,f362,f387]) ).
fof(f394,definition,
( spl0_11
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f395,plain,
( ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f397,definition,
( spl0_12
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f398,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( spl0_11
| spl0_12
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f353,f376,f365,f397,f394]) ).
fof(f401,definition,
( spl0_13
<=> ! [X2] :
( c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f402,plain,
( ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f408,definition,
( spl0_15
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f409,plain,
( ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,definition,
( spl0_16
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f412,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f418,definition,
( spl0_18
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f419,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f420,plain,
( spl0_16
| spl0_5
| spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f350,f418,f365,f373,f411]) ).
fof(f422,definition,
( spl0_19
<=> ! [X0] :
( c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f423,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( spl0_15
| spl0_5
| spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f349,f422,f365,f373,f408]) ).
fof(f426,definition,
( spl0_20
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f427,plain,
( ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f428,plain,
( spl0_20
| spl0_13
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f348,f383,f365,f401,f426]) ).
fof(f430,definition,
( spl0_21
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f431,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( spl0_21
| spl0_20
| spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f347,f418,f365,f426,f430]) ).
fof(f434,definition,
( spl0_22
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f435,plain,
( ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f436,plain,
( spl0_22
| spl0_16
| spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f346,f359,f365,f411,f434]) ).
fof(f437,plain,
( spl0_22
| spl0_21
| spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f345,f362,f365,f430,f434]) ).
fof(f439,definition,
( spl0_23
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f440,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f445,plain,
( spl0_23
| spl0_21
| spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f343,f426,f365,f430,f439]) ).
fof(f451,definition,
( spl0_26
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f455,definition,
( spl0_27
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f456,plain,
( ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f462,definition,
( spl0_29
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f467,definition,
( spl0_30
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f470,plain,
( spl0_30
| spl0_9
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f339,f376,f365,f387,f467]) ).
fof(f477,definition,
( spl0_32
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f481,definition,
( spl0_33
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f482,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f485,definition,
( spl0_34
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f493,definition,
( spl0_36
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f496,plain,
( ~ spl0_36
| spl0_21
| spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f335,f481,f365,f430,f493]) ).
fof(f498,definition,
( spl0_37
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f502,definition,
( spl0_38
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f503,plain,
( ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( spl0_37
| spl0_38
| spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f334,f390,f365,f502,f498]) ).
fof(f508,definition,
( spl0_39
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f517,definition,
( spl0_41
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f520,plain,
( ~ spl0_41
| spl0_20
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f329,f373,f365,f426,f517]) ).
fof(f527,definition,
( spl0_43
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f530,plain,
( spl0_43
| spl0_21
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f327,f383,f365,f430,f527]) ).
fof(f531,plain,
( ~ spl0_34
| spl0_21
| spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f326,f426,f365,f430,f485]) ).
fof(f533,definition,
( spl0_44
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f536,plain,
( spl0_44
| spl0_11
| spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f325,f430,f365,f394,f533]) ).
fof(f538,definition,
( spl0_45
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f543,definition,
( spl0_46
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f548,definition,
( spl0_47
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f553,plain,
( spl0_43
| spl0_46
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f320,f376,f365,f543,f527]) ).
fof(f554,plain,
( spl0_37
| spl0_32
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f319,f376,f365,f477,f498]) ).
fof(f556,definition,
( spl0_48
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f560,definition,
( spl0_49
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f563,plain,
( spl0_48
| ~ spl0_49
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f318,f369,f365,f560,f556]) ).
fof(f569,definition,
( spl0_51
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f583,plain,
( spl0_48
| spl0_39
| spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f314,f362,f365,f508,f556]) ).
fof(f585,definition,
( spl0_54
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f595,definition,
( spl0_56
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f598,plain,
( spl0_43
| spl0_56
| spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f311,f422,f365,f595,f527]) ).
fof(f600,definition,
( spl0_57
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f606,plain,
( spl0_46
| ~ spl0_45
| spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f307,f418,f365,f538,f543]) ).
fof(f608,definition,
( spl0_58
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f614,plain,
( spl0_26
| spl0_51
| spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f303,f359,f365,f569,f451]) ).
fof(f615,plain,
( spl0_26
| spl0_47
| spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f302,f455,f365,f548,f451]) ).
fof(f616,plain,
( spl0_56
| spl0_46
| spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f301,f455,f365,f543,f595]) ).
fof(f622,plain,
( spl0_58
| spl0_47
| spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f299,f380,f365,f548,f608]) ).
fof(f623,plain,
( spl0_26
| ~ spl0_41
| spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f298,f380,f365,f517,f451]) ).
fof(f628,plain,
( spl0_51
| spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f296,f362,f365,f569]) ).
fof(f629,plain,
( spl0_54
| spl0_56
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f295,f373,f365,f595,f585]) ).
fof(f635,definition,
( spl0_62
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f639,plain,
( ~ spl0_57
| spl0_48
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f293,f383,f365,f556,f600]) ).
fof(f642,plain,
( spl0_46
| ~ spl0_36
| spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f290,f430,f365,f493,f543]) ).
fof(f650,definition,
( spl0_63
<=> c1_1(a123) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f653,plain,
( ~ spl0_47
| spl0_63 ),
inference(avatar_split_clause,[],[f283,f650,f548]) ).
fof(f655,definition,
( spl0_64
<=> c0_1(a123) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f657,plain,
( ~ c0_1(a123)
| spl0_64 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f658,plain,
( ~ spl0_47
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f129,f655,f548]) ).
fof(f660,definition,
( spl0_65
<=> c3_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f662,plain,
( ~ c3_1(a124)
| spl0_65 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f663,plain,
( spl0_45
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f282,f660,f538]) ).
fof(f665,definition,
( spl0_66
<=> c0_1(a125) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f667,plain,
( ~ c0_1(a125)
| spl0_66 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f668,plain,
( spl0_49
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f281,f665,f560]) ).
fof(f670,definition,
( spl0_67
<=> c3_1(a127) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f672,plain,
( ~ c3_1(a127)
| spl0_67 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f673,plain,
( ~ spl0_46
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f126,f670,f543]) ).
fof(f675,definition,
( spl0_68
<=> c2_1(a127) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f678,plain,
( ~ spl0_46
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f125,f675,f543]) ).
fof(f715,definition,
( spl0_76
<=> c2_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f718,plain,
( ~ spl0_26
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f117,f715,f451]) ).
fof(f720,definition,
( spl0_77
<=> c0_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f722,plain,
( ~ c0_1(a132)
| spl0_77 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f723,plain,
( ~ spl0_26
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f116,f720,f451]) ).
fof(f725,definition,
( spl0_78
<=> c3_1(a134) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f727,plain,
( ~ c3_1(a134)
| spl0_78 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f728,plain,
( ~ spl0_37
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f115,f725,f498]) ).
fof(f730,definition,
( spl0_79
<=> c0_1(a134) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f732,plain,
( ~ c0_1(a134)
| spl0_79 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f733,plain,
( ~ spl0_37
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f114,f730,f498]) ).
fof(f735,definition,
( spl0_80
<=> c2_1(a138) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f737,plain,
( ~ c2_1(a138)
| spl0_80 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f738,plain,
( ~ spl0_32
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f113,f735,f477]) ).
fof(f765,definition,
( spl0_86
<=> c1_1(a142) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f767,plain,
( c1_1(a142)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f768,plain,
( spl0_34
| spl0_86 ),
inference(avatar_split_clause,[],[f275,f765,f485]) ).
fof(f770,definition,
( spl0_87
<=> c1_1(a143) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f772,plain,
( c1_1(a143)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f773,plain,
( ~ spl0_43
| spl0_87 ),
inference(avatar_split_clause,[],[f274,f770,f527]) ).
fof(f785,definition,
( spl0_90
<=> c0_1(a153) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f788,plain,
( ~ spl0_56
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f103,f785,f595]) ).
fof(f795,definition,
( spl0_92
<=> c2_1(a155) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f797,plain,
( ~ c2_1(a155)
| spl0_92 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f798,plain,
( spl0_57
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f272,f795,f600]) ).
fof(f800,definition,
( spl0_93
<=> c0_1(a155) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f802,plain,
( ~ c0_1(a155)
| spl0_93 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f803,plain,
( spl0_57
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f271,f800,f600]) ).
fof(f805,definition,
( spl0_94
<=> c2_1(a160) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f807,plain,
( ~ c2_1(a160)
| spl0_94 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f808,plain,
( ~ spl0_58
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f99,f805,f608]) ).
fof(f810,definition,
( spl0_95
<=> c1_1(a160) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f813,plain,
( ~ spl0_58
| spl0_95 ),
inference(avatar_split_clause,[],[f270,f810,f608]) ).
fof(f815,definition,
( spl0_96
<=> c2_1(a164) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f817,plain,
( ~ c2_1(a164)
| spl0_96 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f818,plain,
( ~ spl0_48
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f97,f815,f556]) ).
fof(f835,definition,
( spl0_100
<=> c2_1(a176) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f838,plain,
( ~ spl0_51
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f93,f835,f569]) ).
fof(f840,definition,
( spl0_101
<=> c1_1(a176) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f842,plain,
( c1_1(a176)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f843,plain,
( ~ spl0_51
| spl0_101 ),
inference(avatar_split_clause,[],[f266,f840,f569]) ).
fof(f855,definition,
( spl0_104
<=> c3_1(a182) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f857,plain,
( ~ c3_1(a182)
| spl0_104 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f858,plain,
( ~ spl0_54
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f89,f855,f585]) ).
fof(f865,definition,
( spl0_106
<=> c0_1(a182) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f867,plain,
( ~ c0_1(a182)
| spl0_106 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f868,plain,
( ~ spl0_54
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f87,f865,f585]) ).
fof(f889,definition,
( spl0_111
<=> c2_1(a123) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f891,plain,
( c2_1(a123)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f892,plain,
( spl0_111
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f83,f548,f889]) ).
fof(f899,definition,
( spl0_113
<=> c1_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f902,plain,
( ~ spl0_113
| spl0_45 ),
inference(avatar_split_clause,[],[f262,f538,f899]) ).
fof(f904,definition,
( spl0_114
<=> c2_1(a125) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f906,plain,
( c2_1(a125)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f907,plain,
( spl0_114
| spl0_49 ),
inference(avatar_split_clause,[],[f261,f560,f904]) ).
fof(f909,definition,
( spl0_115
<=> c1_1(a125) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f911,plain,
( ~ c1_1(a125)
| spl0_115 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f912,plain,
( ~ spl0_115
| spl0_49 ),
inference(avatar_split_clause,[],[f260,f560,f909]) ).
fof(f914,definition,
( spl0_116
<=> c1_1(a127) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f916,plain,
( ~ c1_1(a127)
| spl0_116 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f917,plain,
( ~ spl0_116
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f259,f543,f914]) ).
fof(f919,definition,
( spl0_117
<=> c1_1(a128) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f922,plain,
( ~ spl0_117
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f258,f533,f919]) ).
fof(f924,definition,
( spl0_118
<=> c0_1(a128) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f926,plain,
( c0_1(a128)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f927,plain,
( spl0_118
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f76,f533,f924]) ).
fof(f929,definition,
( spl0_119
<=> c3_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f931,plain,
( c3_1(a132)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f932,plain,
( spl0_119
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f75,f451,f929]) ).
fof(f934,definition,
( spl0_120
<=> c2_1(a134) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f936,plain,
( c2_1(a134)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f937,plain,
( spl0_120
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f74,f498,f934]) ).
fof(f939,definition,
( spl0_121
<=> c1_1(a138) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f941,plain,
( ~ c1_1(a138)
| spl0_121 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f942,plain,
( ~ spl0_121
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f257,f477,f939]) ).
fof(f944,definition,
( spl0_122
<=> c0_1(a138) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f946,plain,
( c0_1(a138)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f947,plain,
( spl0_122
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f72,f477,f944]) ).
fof(f954,definition,
( spl0_124
<=> c3_1(a142) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f956,plain,
( c3_1(a142)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f957,plain,
( spl0_124
| spl0_34 ),
inference(avatar_split_clause,[],[f255,f485,f954]) ).
fof(f959,definition,
( spl0_125
<=> c0_1(a142) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f961,plain,
( c0_1(a142)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f962,plain,
( spl0_125
| spl0_34 ),
inference(avatar_split_clause,[],[f254,f485,f959]) ).
fof(f964,definition,
( spl0_126
<=> c3_1(a143) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f966,plain,
( c3_1(a143)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f967,plain,
( spl0_126
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f68,f527,f964]) ).
fof(f969,definition,
( spl0_127
<=> c2_1(a143) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f971,plain,
( c2_1(a143)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f972,plain,
( spl0_127
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f67,f527,f969]) ).
fof(f979,definition,
( spl0_129
<=> c3_1(a153) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f981,plain,
( c3_1(a153)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f982,plain,
( spl0_129
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f65,f595,f979]) ).
fof(f984,definition,
( spl0_130
<=> c2_1(a153) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f986,plain,
( c2_1(a153)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f987,plain,
( spl0_130
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f64,f595,f984]) ).
fof(f989,definition,
( spl0_131
<=> c3_1(a154) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f991,plain,
( c3_1(a154)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f992,plain,
( spl0_131
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f63,f467,f989]) ).
fof(f994,definition,
( spl0_132
<=> c1_1(a154) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f997,plain,
( ~ spl0_132
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f253,f467,f994]) ).
fof(f999,definition,
( spl0_133
<=> c1_1(a155) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f1001,plain,
( ~ c1_1(a155)
| spl0_133 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1002,plain,
( ~ spl0_133
| spl0_57 ),
inference(avatar_split_clause,[],[f252,f600,f999]) ).
fof(f1004,definition,
( spl0_134
<=> c3_1(a160) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1006,plain,
( c3_1(a160)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1007,plain,
( spl0_134
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f60,f608,f1004]) ).
fof(f1009,definition,
( spl0_135
<=> c3_1(a164) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f1011,plain,
( c3_1(a164)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1012,plain,
( spl0_135
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f59,f556,f1009]) ).
fof(f1014,definition,
( spl0_136
<=> c1_1(a164) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1016,plain,
( ~ c1_1(a164)
| spl0_136 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1017,plain,
( ~ spl0_136
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f251,f556,f1014]) ).
fof(f1034,definition,
( spl0_140
<=> c0_1(a176) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1036,plain,
( c0_1(a176)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1037,plain,
( spl0_140
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f54,f569,f1034]) ).
fof(f1059,definition,
( spl0_145
<=> c3_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1061,plain,
( c3_1(a122)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1062,plain,
( spl0_145
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f49,f508,f1059]) ).
fof(f1064,definition,
( spl0_146
<=> c2_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1067,plain,
( spl0_146
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f48,f508,f1064]) ).
fof(f1069,definition,
( spl0_147
<=> c0_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1072,plain,
( spl0_147
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f47,f508,f1069]) ).
fof(f1074,definition,
( spl0_148
<=> c3_1(a133) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1076,plain,
( c3_1(a133)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1077,plain,
( spl0_148
| spl0_36 ),
inference(avatar_split_clause,[],[f249,f493,f1074]) ).
fof(f1079,definition,
( spl0_149
<=> c2_1(a133) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1082,plain,
( spl0_149
| spl0_36 ),
inference(avatar_split_clause,[],[f248,f493,f1079]) ).
fof(f1084,definition,
( spl0_150
<=> c1_1(a133) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1087,plain,
( ~ spl0_150
| spl0_36 ),
inference(avatar_split_clause,[],[f247,f493,f1084]) ).
fof(f1089,definition,
( spl0_151
<=> c2_1(a136) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1091,plain,
( c2_1(a136)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1092,plain,
( spl0_151
| spl0_41 ),
inference(avatar_split_clause,[],[f246,f517,f1089]) ).
fof(f1094,definition,
( spl0_152
<=> c1_1(a136) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f1096,plain,
( ~ c1_1(a136)
| spl0_152 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1097,plain,
( ~ spl0_152
| spl0_41 ),
inference(avatar_split_clause,[],[f245,f517,f1094]) ).
fof(f1099,definition,
( spl0_153
<=> c0_1(a136) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1101,plain,
( c0_1(a136)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1102,plain,
( spl0_153
| spl0_41 ),
inference(avatar_split_clause,[],[f244,f517,f1099]) ).
fof(f1119,plain,
( spl0_43
| spl0_48
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f239,f485,f556,f527]) ).
fof(f1123,plain,
( spl0_29
| spl0_32
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f236,f635,f477,f462]) ).
fof(f1130,plain,
( ~ spl0_3
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f229,f462,f365]) ).
fof(f1133,plain,
( ~ spl0_3
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f226,f477,f365]) ).
fof(f1154,plain,
( ~ spl0_3
| spl0_62 ),
inference(avatar_split_clause,[],[f205,f635,f365]) ).
fof(f1159,plain,
( ! [X2] :
( c3_1(X2)
| c1_1(X2) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f374,f363]) ).
fof(f1169,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_4
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f482,f370]) ).
fof(f1171,plain,
( ! [X0] :
( ~ c2_1(X0)
| c1_1(X0) )
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f377,f363]) ).
fof(f1179,plain,
( c2_1(a142)
| ~ c1_1(a142)
| ~ spl0_16
| ~ spl0_124 ),
inference(resolution,[],[f412,f956]) ).
fof(f1180,plain,
( c2_1(a142)
| ~ spl0_16
| ~ spl0_86
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1179,f767]) ).
fof(f1182,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f423,f1171]) ).
fof(f1185,plain,
( ! [X2] :
( ~ c3_1(X2)
| c0_1(X2) )
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f427,f381]) ).
fof(f1195,plain,
( c2_1(a132)
| c0_1(a132)
| ~ spl0_20
| ~ spl0_119 ),
inference(resolution,[],[f427,f931]) ).
fof(f1215,definition,
( spl0_157
<=> c1_1(a153) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1216,plain,
( c1_1(a153)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f1244,plain,
( c1_1(a125)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_114 ),
inference(resolution,[],[f906,f1171]) ).
fof(f1246,plain,
( spl0_115
| ~ spl0_2
| ~ spl0_6
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1244,f904,f376,f362,f909]) ).
fof(f1256,plain,
( c1_1(a136)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_151 ),
inference(resolution,[],[f1091,f1171]) ).
fof(f1257,plain,
( c3_1(a136)
| c1_1(a136)
| ~ spl0_2
| ~ spl0_151 ),
inference(resolution,[],[f1091,f363]) ).
fof(f1259,definition,
( spl0_159
<=> c3_1(a136) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1261,plain,
( c3_1(a136)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1263,plain,
( spl0_152
| ~ spl0_2
| ~ spl0_6
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1256,f1089,f376,f362,f1094]) ).
fof(f1270,definition,
( spl0_160
<=> c1_1(a134) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1272,plain,
( c1_1(a134)
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1288,plain,
( c1_1(a136)
| ~ spl0_4
| ~ spl0_33
| ~ spl0_153 ),
inference(resolution,[],[f1169,f1101]) ).
fof(f1289,plain,
( $false
| ~ spl0_4
| ~ spl0_33
| spl0_152
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1288,f1096]) ).
fof(f1290,plain,
( ~ spl0_4
| ~ spl0_33
| spl0_152
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1299,plain,
( ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2) )
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f360,f412]) ).
fof(f1304,plain,
( ~ c3_1(a142)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_86 ),
inference(resolution,[],[f1299,f767]) ).
fof(f1344,plain,
( c1_1(a164)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19
| ~ spl0_135 ),
inference(resolution,[],[f1182,f1011]) ).
fof(f1349,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19
| ~ spl0_135
| spl0_136 ),
inference(forward_subsumption_resolution,[],[f1344,f1016]) ).
fof(f1350,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19
| ~ spl0_135
| spl0_136 ),
inference(avatar_contradiction_clause,[],[f1349]) ).
fof(f1394,plain,
( c0_1(a143)
| ~ c3_1(a143)
| ~ spl0_7
| ~ spl0_127 ),
inference(resolution,[],[f381,f971]) ).
fof(f1395,plain,
( c0_1(a153)
| ~ c3_1(a153)
| ~ spl0_7
| ~ spl0_130 ),
inference(resolution,[],[f381,f986]) ).
fof(f1405,plain,
( c2_1(a176)
| ~ c1_1(a176)
| ~ spl0_8
| ~ spl0_140 ),
inference(resolution,[],[f384,f1036]) ).
fof(f1407,plain,
( c2_1(a142)
| ~ c1_1(a142)
| ~ spl0_8
| ~ spl0_125 ),
inference(resolution,[],[f384,f961]) ).
fof(f1417,plain,
( c2_1(a176)
| ~ spl0_8
| ~ spl0_101
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f1405,f842]) ).
fof(f1418,plain,
( spl0_100
| ~ spl0_8
| ~ spl0_101
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1417,f1034,f840,f383,f835]) ).
fof(f1424,plain,
( c3_1(a134)
| c0_1(a134)
| ~ spl0_15
| ~ spl0_120 ),
inference(resolution,[],[f409,f936]) ).
fof(f1425,plain,
( c3_1(a123)
| c0_1(a123)
| ~ spl0_15
| ~ spl0_111 ),
inference(resolution,[],[f409,f891]) ).
fof(f1427,plain,
( c0_1(a134)
| ~ spl0_15
| spl0_78
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f1424,f727]) ).
fof(f1444,plain,
( c1_1(a124)
| ~ spl0_2
| ~ spl0_5
| spl0_65 ),
inference(resolution,[],[f662,f1159]) ).
fof(f1445,plain,
( spl0_113
| ~ spl0_2
| ~ spl0_5
| spl0_65 ),
inference(avatar_split_clause,[],[f1444,f660,f373,f362,f899]) ).
fof(f1464,definition,
( spl0_161
<=> c1_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1472,plain,
( c0_1(a153)
| ~ spl0_7
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1395,f981]) ).
fof(f1481,plain,
( spl0_90
| ~ spl0_7
| ~ spl0_129
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1472,f984,f979,f380,f785]) ).
fof(f1528,plain,
( ! [X2] :
( c0_1(X2)
| c1_1(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f431,f1171]) ).
fof(f1532,plain,
( c1_1(a155)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_21
| spl0_93 ),
inference(resolution,[],[f1528,f802]) ).
fof(f1540,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_21
| spl0_93
| spl0_133 ),
inference(forward_subsumption_resolution,[],[f1532,f1001]) ).
fof(f1541,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_21
| spl0_93
| spl0_133 ),
inference(avatar_contradiction_clause,[],[f1540]) ).
fof(f1591,plain,
( c1_1(a128)
| ~ spl0_4
| ~ spl0_33
| ~ spl0_118 ),
inference(resolution,[],[f1169,f926]) ).
fof(f1600,plain,
( c0_1(a123)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1425,f1185]) ).
fof(f1601,plain,
( spl0_79
| ~ spl0_15
| spl0_78
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1427,f934,f725,f408,f730]) ).
fof(f1603,plain,
( spl0_117
| ~ spl0_4
| ~ spl0_33
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1591,f924,f481,f369,f919]) ).
fof(f1609,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_7
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f456,f1185]) ).
fof(f1610,plain,
( spl0_64
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1600,f889,f426,f408,f380,f655]) ).
fof(f1627,plain,
( ~ c1_1(a143)
| ~ spl0_7
| ~ spl0_20
| ~ spl0_27
| ~ spl0_126 ),
inference(resolution,[],[f1609,f966]) ).
fof(f1628,plain,
( ~ c1_1(a142)
| ~ spl0_7
| ~ spl0_20
| ~ spl0_27
| ~ spl0_124 ),
inference(resolution,[],[f1609,f956]) ).
fof(f1629,plain,
( $false
| ~ spl0_7
| ~ spl0_20
| ~ spl0_27
| ~ spl0_86
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1628,f767]) ).
fof(f1630,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_27
| ~ spl0_86
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1637,plain,
( c3_1(a136)
| ~ spl0_2
| ~ spl0_151
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f1257,f1096]) ).
fof(f1638,plain,
( c0_1(a143)
| ~ spl0_7
| ~ spl0_126
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1394,f966]) ).
fof(f1640,plain,
( spl0_159
| ~ spl0_2
| ~ spl0_151
| spl0_152 ),
inference(avatar_split_clause,[],[f1637,f1094,f1089,f362,f1259]) ).
fof(f1665,plain,
( c0_1(a125)
| ~ c3_1(a125)
| ~ spl0_7
| ~ spl0_114 ),
inference(resolution,[],[f381,f906]) ).
fof(f1680,plain,
( ! [X2] :
( c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f402,f395]) ).
fof(f1696,plain,
( ~ c1_1(a142)
| ~ c0_1(a142)
| ~ spl0_12
| ~ spl0_16
| ~ spl0_86
| ~ spl0_124 ),
inference(resolution,[],[f398,f1180]) ).
fof(f1702,plain,
( ~ c0_1(a142)
| ~ spl0_12
| ~ spl0_16
| ~ spl0_86
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1696,f767]) ).
fof(f1719,definition,
( spl0_163
<=> c2_1(a142) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1721,plain,
( c2_1(a142)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1746,plain,
( ~ c1_1(a153)
| ~ c2_1(a153)
| ~ spl0_1
| ~ spl0_129 ),
inference(resolution,[],[f360,f981]) ).
fof(f1763,definition,
( spl0_164
<=> c3_1(a123) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1765,plain,
( c3_1(a123)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1787,plain,
( c1_1(a125)
| ~ c2_1(a125)
| ~ spl0_13
| spl0_66 ),
inference(resolution,[],[f402,f667]) ).
fof(f1790,plain,
( ~ c2_1(a125)
| ~ spl0_13
| spl0_66
| spl0_115 ),
inference(forward_subsumption_resolution,[],[f1787,f911]) ).
fof(f1791,plain,
( $false
| ~ spl0_13
| spl0_66
| ~ spl0_114
| spl0_115 ),
inference(forward_subsumption_resolution,[],[f1790,f906]) ).
fof(f1792,plain,
( ~ spl0_13
| spl0_66
| ~ spl0_114
| spl0_115 ),
inference(avatar_contradiction_clause,[],[f1791]) ).
fof(f1794,definition,
( spl0_165
<=> c3_1(a125) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1797,plain,
( ~ spl0_165
| spl0_66
| ~ spl0_7
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1665,f904,f380,f665,f1794]) ).
fof(f1798,plain,
( ! [X2] :
( c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f409,f381]) ).
fof(f1834,plain,
( c3_1(a125)
| c1_1(a125)
| ~ spl0_2
| ~ spl0_114 ),
inference(resolution,[],[f906,f363]) ).
fof(f1835,plain,
( c3_1(a125)
| ~ spl0_2
| ~ spl0_114
| spl0_115 ),
inference(forward_subsumption_resolution,[],[f1834,f911]) ).
fof(f1836,plain,
( spl0_165
| ~ spl0_2
| ~ spl0_114
| spl0_115 ),
inference(avatar_split_clause,[],[f1835,f909,f904,f362,f1794]) ).
fof(f1839,plain,
( c3_1(a134)
| c1_1(a134)
| ~ spl0_2
| ~ spl0_120 ),
inference(resolution,[],[f936,f363]) ).
fof(f1841,plain,
( ~ c1_1(a143)
| ~ c0_1(a143)
| ~ spl0_12
| ~ spl0_127 ),
inference(resolution,[],[f971,f398]) ).
fof(f1878,plain,
( c2_1(a138)
| ~ c3_1(a138)
| ~ spl0_18
| ~ spl0_122 ),
inference(resolution,[],[f419,f946]) ).
fof(f1884,plain,
( ~ c3_1(a138)
| ~ spl0_18
| spl0_80
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f1878,f737]) ).
fof(f1887,plain,
( ! [X2] :
( c0_1(X2)
| c1_1(X2) )
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f431,f402]) ).
fof(f1892,plain,
( c1_1(a155)
| ~ spl0_13
| ~ spl0_21
| spl0_93 ),
inference(resolution,[],[f1887,f802]) ).
fof(f1900,definition,
( spl0_166
<=> c3_1(a155) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1902,plain,
( c3_1(a155)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f1904,plain,
( spl0_133
| ~ spl0_13
| ~ spl0_21
| spl0_93 ),
inference(avatar_split_clause,[],[f1892,f800,f430,f401,f999]) ).
fof(f2008,plain,
( ~ spl0_86
| spl0_163
| ~ spl0_8
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1407,f959,f383,f1719,f765]) ).
fof(f2150,plain,
( ! [X1] :
( c0_1(X1)
| c3_1(X1) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f503,f1798]) ).
fof(f2153,plain,
( c3_1(a182)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_38
| spl0_106 ),
inference(resolution,[],[f2150,f867]) ).
fof(f2156,plain,
( $false
| ~ spl0_7
| ~ spl0_15
| ~ spl0_38
| spl0_104
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f2153,f857]) ).
fof(f2157,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_38
| spl0_104
| spl0_106 ),
inference(avatar_contradiction_clause,[],[f2156]) ).
fof(f2158,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f391,f381]) ).
fof(f2166,plain,
( ~ c2_1(a143)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_126 ),
inference(resolution,[],[f2158,f966]) ).
fof(f2186,plain,
( ~ spl0_124
| ~ spl0_1
| ~ spl0_16
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1304,f765,f411,f359,f954]) ).
fof(f2189,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f423,f412]) ).
fof(f2190,plain,
( ! [X2] :
( ~ c3_1(X2)
| c2_1(X2) )
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f427,f419]) ).
fof(f2193,plain,
( ~ spl0_87
| ~ spl0_7
| ~ spl0_20
| ~ spl0_27
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1627,f964,f455,f426,f380,f770]) ).
fof(f2212,plain,
( c3_1(a155)
| c1_1(a155)
| ~ spl0_9
| spl0_93 ),
inference(resolution,[],[f802,f388]) ).
fof(f2213,plain,
( spl0_133
| spl0_166
| ~ spl0_9
| spl0_93 ),
inference(avatar_split_clause,[],[f2212,f800,f387,f1900,f999]) ).
fof(f2254,plain,
( c2_1(a132)
| ~ spl0_16
| ~ spl0_19
| ~ spl0_119 ),
inference(resolution,[],[f2189,f931]) ).
fof(f2257,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f370,f1185]) ).
fof(f2266,plain,
( spl0_160
| spl0_78
| ~ spl0_2
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1839,f934,f362,f725,f1270]) ).
fof(f2301,plain,
( c1_1(a164)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20
| ~ spl0_135 ),
inference(resolution,[],[f2257,f1011]) ).
fof(f2313,plain,
( spl0_136
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2301,f1009,f426,f380,f369,f1014]) ).
fof(f2339,plain,
( c1_1(a154)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20
| ~ spl0_131 ),
inference(resolution,[],[f991,f2257]) ).
fof(f2351,plain,
( spl0_132
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2339,f989,f426,f380,f369,f994]) ).
fof(f2388,plain,
( ~ c2_1(a134)
| ~ spl0_11
| ~ spl0_13
| spl0_79 ),
inference(resolution,[],[f1680,f732]) ).
fof(f2394,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| spl0_79
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f2388,f936]) ).
fof(f2395,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_79
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f2394]) ).
fof(f2419,plain,
( ~ c0_1(a143)
| ~ spl0_12
| ~ spl0_87
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1841,f772]) ).
fof(f2437,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_87
| ~ spl0_126
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f2419,f1638]) ).
fof(f2438,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_87
| ~ spl0_126
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f2437]) ).
fof(f2482,plain,
( ~ c1_1(a134)
| ~ c2_1(a134)
| ~ spl0_11
| spl0_79 ),
inference(resolution,[],[f395,f732]) ).
fof(f2484,plain,
( ~ c1_1(a123)
| ~ c2_1(a123)
| ~ spl0_11
| spl0_64 ),
inference(resolution,[],[f395,f657]) ).
fof(f2489,plain,
( ~ c2_1(a134)
| ~ spl0_11
| spl0_79
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f2482,f1272]) ).
fof(f2492,plain,
( $false
| ~ spl0_11
| spl0_79
| ~ spl0_120
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f2489,f936]) ).
fof(f2493,plain,
( ~ spl0_11
| spl0_79
| ~ spl0_120
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2497,plain,
( ~ spl0_111
| ~ spl0_63
| ~ spl0_11
| spl0_64 ),
inference(avatar_split_clause,[],[f2484,f655,f394,f650,f889]) ).
fof(f2555,plain,
( c2_1(a132)
| ~ c1_1(a132)
| ~ spl0_16
| ~ spl0_119 ),
inference(resolution,[],[f412,f931]) ).
fof(f2571,plain,
( c2_1(a142)
| ~ c3_1(a142)
| ~ spl0_18
| ~ spl0_125 ),
inference(resolution,[],[f419,f961]) ).
fof(f2579,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_18
| ~ spl0_21 ),
inference(resolution,[],[f431,f419]) ).
fof(f2583,plain,
( c2_1(a132)
| c1_1(a132)
| ~ spl0_21
| spl0_77 ),
inference(resolution,[],[f431,f722]) ).
fof(f2604,plain,
( ~ spl0_124
| spl0_163
| ~ spl0_18
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2571,f959,f418,f1719,f954]) ).
fof(f2610,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_18
| ~ spl0_22 ),
inference(resolution,[],[f435,f419]) ).
fof(f2614,plain,
( ~ c1_1(a132)
| ~ c3_1(a132)
| ~ spl0_22
| spl0_77 ),
inference(resolution,[],[f435,f722]) ).
fof(f2619,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_18
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f2610]) ).
fof(f2622,plain,
( ~ c1_1(a132)
| ~ spl0_22
| spl0_77
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f2614,f931]) ).
fof(f2624,plain,
( ~ spl0_161
| ~ spl0_22
| spl0_77
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2622,f929,f720,f434,f1464]) ).
fof(f2625,plain,
( ! [X2] :
( c0_1(X2)
| ~ c1_1(X2) )
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f440,f395]) ).
fof(f2655,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_11
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f456,f2625]) ).
fof(f2666,plain,
( ~ c1_1(a142)
| ~ spl0_11
| ~ spl0_23
| ~ spl0_27
| ~ spl0_124 ),
inference(resolution,[],[f2655,f956]) ).
fof(f2670,plain,
( $false
| ~ spl0_11
| ~ spl0_23
| ~ spl0_27
| ~ spl0_86
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f2666,f767]) ).
fof(f2671,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_27
| ~ spl0_86
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f2670]) ).
fof(f2714,plain,
( ~ spl0_161
| spl0_76
| ~ spl0_16
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2555,f929,f411,f715,f1464]) ).
fof(f2715,plain,
( spl0_76
| ~ spl0_16
| ~ spl0_19
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2254,f929,f422,f411,f715]) ).
fof(f2783,plain,
( ~ c0_1(a136)
| c1_1(a136)
| ~ spl0_4
| ~ spl0_159 ),
inference(resolution,[],[f370,f1261]) ).
fof(f2796,plain,
( c1_1(a136)
| ~ spl0_4
| ~ spl0_153
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f2783,f1101]) ).
fof(f2797,plain,
( $false
| ~ spl0_4
| spl0_152
| ~ spl0_153
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f2796,f1096]) ).
fof(f2798,plain,
( ~ spl0_4
| spl0_152
| ~ spl0_153
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f2797]) ).
fof(f2817,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_18
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f2579]) ).
fof(f2823,plain,
( ~ c2_1(a153)
| ~ spl0_1
| ~ spl0_129
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f1746,f1216]) ).
fof(f2831,plain,
( ~ spl0_127
| ~ spl0_7
| ~ spl0_10
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2166,f964,f390,f380,f969]) ).
fof(f2842,plain,
( spl0_19
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f2817,f430,f418,f422]) ).
fof(f2861,plain,
( spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f2619,f434,f418,f411]) ).
fof(f2862,plain,
( ~ spl0_130
| ~ spl0_1
| ~ spl0_129
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f2823,f1215,f979,f359,f984]) ).
fof(f2886,plain,
( spl0_64
| spl0_164
| ~ spl0_15
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1425,f889,f408,f1763,f655]) ).
fof(f2931,plain,
( ~ c1_1(a143)
| ~ c2_1(a143)
| ~ spl0_1
| ~ spl0_126 ),
inference(resolution,[],[f360,f966]) ).
fof(f2961,plain,
( c1_1(a127)
| c2_1(a127)
| ~ spl0_5
| spl0_67 ),
inference(resolution,[],[f374,f672]) ).
fof(f2970,plain,
( c2_1(a127)
| ~ spl0_5
| spl0_67
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f2961,f916]) ).
fof(f2984,plain,
( spl0_68
| ~ spl0_5
| spl0_67
| spl0_116 ),
inference(avatar_split_clause,[],[f2970,f914,f670,f373,f675]) ).
fof(f3016,definition,
( spl0_174
<=> c0_1(a164) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f3042,plain,
( spl0_77
| spl0_76
| ~ spl0_20
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1195,f929,f426,f715,f720]) ).
fof(f3130,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f370,f1887]) ).
fof(f3133,plain,
( c1_1(a164)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_21
| ~ spl0_135 ),
inference(resolution,[],[f3130,f1011]) ).
fof(f3139,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_21
| ~ spl0_135
| spl0_136 ),
inference(forward_subsumption_resolution,[],[f3133,f1016]) ).
fof(f3140,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_21
| ~ spl0_135
| spl0_136 ),
inference(avatar_contradiction_clause,[],[f3139]) ).
fof(f3153,plain,
( ~ c0_1(a164)
| c1_1(a164)
| ~ spl0_4
| ~ spl0_135 ),
inference(resolution,[],[f370,f1011]) ).
fof(f3172,plain,
( c1_1(a138)
| c2_1(a138)
| ~ spl0_5
| ~ spl0_18
| spl0_80
| ~ spl0_122 ),
inference(resolution,[],[f374,f1884]) ).
fof(f3186,plain,
( c2_1(a138)
| ~ spl0_5
| ~ spl0_18
| spl0_80
| spl0_121
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f3172,f941]) ).
fof(f3189,plain,
( $false
| ~ spl0_5
| ~ spl0_18
| spl0_80
| spl0_121
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f3186,f737]) ).
fof(f3190,plain,
( ~ spl0_5
| ~ spl0_18
| spl0_80
| spl0_121
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f3189]) ).
fof(f3199,plain,
( c1_1(a133)
| ~ c2_1(a133)
| ~ spl0_6
| ~ spl0_148 ),
inference(resolution,[],[f377,f1076]) ).
fof(f3202,plain,
( c1_1(a153)
| ~ c2_1(a153)
| ~ spl0_6
| ~ spl0_129 ),
inference(resolution,[],[f377,f981]) ).
fof(f3216,plain,
( ~ spl0_125
| ~ spl0_12
| ~ spl0_16
| ~ spl0_86
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1702,f954,f765,f411,f397,f959]) ).
fof(f3241,plain,
( c2_1(a164)
| ~ spl0_18
| ~ spl0_20
| ~ spl0_135 ),
inference(resolution,[],[f2190,f1011]) ).
fof(f3242,plain,
( c2_1(a160)
| ~ spl0_18
| ~ spl0_20
| ~ spl0_134 ),
inference(resolution,[],[f2190,f1006]) ).
fof(f3254,plain,
( ~ spl0_149
| spl0_150
| ~ spl0_6
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f3199,f1074,f376,f1084,f1079]) ).
fof(f3265,plain,
( spl0_136
| ~ spl0_174
| ~ spl0_4
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f3153,f1009,f369,f3016,f1014]) ).
fof(f3268,plain,
( spl0_96
| ~ spl0_18
| ~ spl0_20
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f3241,f1009,f426,f418,f815]) ).
fof(f3269,plain,
( spl0_94
| ~ spl0_18
| ~ spl0_20
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f3242,f1004,f426,f418,f805]) ).
fof(f3339,plain,
( c1_1(a153)
| ~ spl0_6
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f3202,f986]) ).
fof(f3351,plain,
( spl0_157
| ~ spl0_6
| ~ spl0_129
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f3339,f984,f979,f376,f1215]) ).
fof(f3535,plain,
( c2_1(a160)
| ~ c1_1(a160)
| ~ spl0_16
| ~ spl0_134 ),
inference(resolution,[],[f412,f1006]) ).
fof(f3542,plain,
( ~ c1_1(a160)
| ~ spl0_16
| spl0_94
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f3535,f807]) ).
fof(f3550,plain,
( ~ spl0_95
| ~ spl0_16
| spl0_94
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f3542,f1004,f805,f411,f810]) ).
fof(f3571,plain,
( ~ c0_1(a122)
| ~ c2_1(a122)
| ~ spl0_10
| ~ spl0_145 ),
inference(resolution,[],[f391,f1061]) ).
fof(f3577,plain,
( ~ c0_1(a142)
| ~ c2_1(a142)
| ~ spl0_10
| ~ spl0_124 ),
inference(resolution,[],[f391,f956]) ).
fof(f3595,plain,
( ~ c0_1(a142)
| ~ spl0_10
| ~ spl0_124
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f3577,f1721]) ).
fof(f3596,plain,
( ~ spl0_125
| ~ spl0_10
| ~ spl0_124
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3595,f1719,f954,f390,f959]) ).
fof(f3597,plain,
( ~ spl0_146
| ~ spl0_147
| ~ spl0_10
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f3571,f1059,f390,f1069,f1064]) ).
fof(f3599,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) )
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f427,f374]) ).
fof(f3602,plain,
( c2_1(a164)
| c0_1(a164)
| ~ spl0_20
| ~ spl0_135 ),
inference(resolution,[],[f427,f1011]) ).
fof(f3604,plain,
( c2_1(a155)
| c0_1(a155)
| ~ spl0_20
| ~ spl0_166 ),
inference(resolution,[],[f427,f1902]) ).
fof(f3609,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_5
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f3599]) ).
fof(f3610,plain,
( c0_1(a155)
| ~ spl0_20
| spl0_92
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f3604,f797]) ).
fof(f3612,plain,
( c0_1(a164)
| ~ spl0_20
| spl0_96
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f3602,f817]) ).
fof(f3614,plain,
( spl0_21
| ~ spl0_5
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f3609,f426,f373,f430]) ).
fof(f3615,plain,
( $false
| ~ spl0_20
| spl0_92
| spl0_93
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f3610,f802]) ).
fof(f3616,plain,
( ~ spl0_20
| spl0_92
| spl0_93
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f3615]) ).
fof(f3618,plain,
( spl0_174
| ~ spl0_20
| spl0_96
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f3612,f1009,f815,f426,f3016]) ).
fof(f3680,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f419,f391]) ).
fof(f3684,plain,
( spl0_161
| spl0_76
| ~ spl0_21
| spl0_77 ),
inference(avatar_split_clause,[],[f2583,f720,f430,f715,f1464]) ).
fof(f3692,plain,
( ~ spl0_127
| ~ spl0_87
| ~ spl0_1
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2931,f964,f359,f770,f969]) ).
fof(f3724,plain,
( ~ c3_1(a136)
| ~ spl0_10
| ~ spl0_18
| ~ spl0_153 ),
inference(resolution,[],[f3680,f1101]) ).
fof(f3734,plain,
( ~ spl0_159
| ~ spl0_10
| ~ spl0_18
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f3724,f1099,f418,f390,f1259]) ).
fof(f3769,plain,
( ~ c1_1(a142)
| ~ c2_1(a142)
| ~ spl0_1
| ~ spl0_124 ),
inference(resolution,[],[f360,f956]) ).
fof(f3770,plain,
( ~ c1_1(a123)
| ~ c2_1(a123)
| ~ spl0_1
| ~ spl0_164 ),
inference(resolution,[],[f360,f1765]) ).
fof(f3772,plain,
( ~ spl0_163
| ~ spl0_86
| ~ spl0_1
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f3769,f954,f359,f765,f1719]) ).
fof(f3777,plain,
( ~ c1_1(a123)
| ~ spl0_1
| ~ spl0_111
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f3770,f891]) ).
fof(f3778,plain,
( ~ spl0_63
| ~ spl0_1
| ~ spl0_111
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3777,f1763,f889,f359,f650]) ).
fof(f3863,plain,
( c2_1(a164)
| c1_1(a164)
| ~ spl0_19
| ~ spl0_135 ),
inference(resolution,[],[f423,f1011]) ).
fof(f3877,plain,
( c1_1(a164)
| ~ spl0_19
| spl0_96
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f3863,f817]) ).
fof(f3884,plain,
( $false
| ~ spl0_19
| spl0_96
| ~ spl0_135
| spl0_136 ),
inference(forward_subsumption_resolution,[],[f3877,f1016]) ).
fof(f3885,plain,
( ~ spl0_19
| spl0_96
| ~ spl0_135
| spl0_136 ),
inference(avatar_contradiction_clause,[],[f3884]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f371]) ).
cnf(s2,plain,
( spl0_2
| spl0_3
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f378]) ).
cnf(s3,plain,
( spl0_3
| spl0_4
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f385]) ).
cnf(s4,plain,
( spl0_2
| spl0_3
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f392]) ).
cnf(s5,plain,
( spl0_3
| spl0_6
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f399]) ).
cnf(s8,plain,
( spl0_3
| spl0_5
| spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f420]) ).
cnf(s9,plain,
( spl0_3
| spl0_5
| spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f424]) ).
cnf(s10,plain,
( spl0_3
| spl0_8
| spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f428]) ).
cnf(s11,plain,
( spl0_3
| spl0_18
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f432]) ).
cnf(s12,plain,
( spl0_1
| spl0_3
| spl0_16
| spl0_22 ),
inference(sat_conversion,[],[f436]) ).
cnf(s13,plain,
( spl0_2
| spl0_3
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f437]) ).
cnf(s15,plain,
( spl0_3
| spl0_20
| spl0_21
| spl0_23 ),
inference(sat_conversion,[],[f445]) ).
cnf(s19,plain,
( spl0_3
| spl0_6
| spl0_9
| spl0_30 ),
inference(sat_conversion,[],[f470]) ).
cnf(s23,plain,
( spl0_3
| spl0_21
| spl0_33
| ~ spl0_36 ),
inference(sat_conversion,[],[f496]) ).
cnf(s24,plain,
( spl0_3
| spl0_10
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f504]) ).
cnf(s29,plain,
( spl0_3
| spl0_5
| spl0_20
| ~ spl0_41 ),
inference(sat_conversion,[],[f520]) ).
cnf(s31,plain,
( spl0_3
| spl0_8
| spl0_21
| spl0_43 ),
inference(sat_conversion,[],[f530]) ).
cnf(s32,plain,
( spl0_3
| spl0_20
| spl0_21
| ~ spl0_34 ),
inference(sat_conversion,[],[f531]) ).
cnf(s33,plain,
( spl0_3
| spl0_11
| spl0_21
| spl0_44 ),
inference(sat_conversion,[],[f536]) ).
cnf(s38,plain,
( spl0_3
| spl0_6
| spl0_43
| spl0_46 ),
inference(sat_conversion,[],[f553]) ).
cnf(s39,plain,
( spl0_3
| spl0_6
| spl0_32
| spl0_37 ),
inference(sat_conversion,[],[f554]) ).
cnf(s40,plain,
( spl0_3
| spl0_4
| spl0_48
| ~ spl0_49 ),
inference(sat_conversion,[],[f563]) ).
cnf(s44,plain,
( spl0_2
| spl0_3
| spl0_39
| spl0_48 ),
inference(sat_conversion,[],[f583]) ).
cnf(s47,plain,
( spl0_3
| spl0_19
| spl0_43
| spl0_56 ),
inference(sat_conversion,[],[f598]) ).
cnf(s51,plain,
( spl0_3
| spl0_18
| ~ spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f606]) ).
cnf(s55,plain,
( spl0_1
| spl0_3
| spl0_26
| spl0_51 ),
inference(sat_conversion,[],[f614]) ).
cnf(s56,plain,
( spl0_3
| spl0_26
| spl0_27
| spl0_47 ),
inference(sat_conversion,[],[f615]) ).
cnf(s57,plain,
( spl0_3
| spl0_27
| spl0_46
| spl0_56 ),
inference(sat_conversion,[],[f616]) ).
cnf(s59,plain,
( spl0_3
| spl0_7
| spl0_47
| spl0_58 ),
inference(sat_conversion,[],[f622]) ).
cnf(s60,plain,
( spl0_3
| spl0_7
| spl0_26
| ~ spl0_41 ),
inference(sat_conversion,[],[f623]) ).
cnf(s62,plain,
( spl0_2
| spl0_3
| spl0_51 ),
inference(sat_conversion,[],[f628]) ).
cnf(s63,plain,
( spl0_3
| spl0_5
| spl0_54
| spl0_56 ),
inference(sat_conversion,[],[f629]) ).
cnf(s65,plain,
( spl0_3
| spl0_8
| spl0_48
| ~ spl0_57 ),
inference(sat_conversion,[],[f639]) ).
cnf(s68,plain,
( spl0_3
| spl0_21
| ~ spl0_36
| spl0_46 ),
inference(sat_conversion,[],[f642]) ).
cnf(s75,plain,
( ~ spl0_47
| spl0_63 ),
inference(sat_conversion,[],[f653]) ).
cnf(s76,plain,
( ~ spl0_47
| ~ spl0_64 ),
inference(sat_conversion,[],[f658]) ).
cnf(s77,plain,
( spl0_45
| ~ spl0_65 ),
inference(sat_conversion,[],[f663]) ).
cnf(s78,plain,
( spl0_49
| ~ spl0_66 ),
inference(sat_conversion,[],[f668]) ).
cnf(s79,plain,
( ~ spl0_46
| ~ spl0_67 ),
inference(sat_conversion,[],[f673]) ).
cnf(s80,plain,
( ~ spl0_46
| ~ spl0_68 ),
inference(sat_conversion,[],[f678]) ).
cnf(s88,plain,
( ~ spl0_26
| ~ spl0_76 ),
inference(sat_conversion,[],[f718]) ).
cnf(s89,plain,
( ~ spl0_26
| ~ spl0_77 ),
inference(sat_conversion,[],[f723]) ).
cnf(s90,plain,
( ~ spl0_37
| ~ spl0_78 ),
inference(sat_conversion,[],[f728]) ).
cnf(s91,plain,
( ~ spl0_37
| ~ spl0_79 ),
inference(sat_conversion,[],[f733]) ).
cnf(s92,plain,
( ~ spl0_32
| ~ spl0_80 ),
inference(sat_conversion,[],[f738]) ).
cnf(s98,plain,
( spl0_34
| spl0_86 ),
inference(sat_conversion,[],[f768]) ).
cnf(s99,plain,
( ~ spl0_43
| spl0_87 ),
inference(sat_conversion,[],[f773]) ).
cnf(s102,plain,
( ~ spl0_56
| ~ spl0_90 ),
inference(sat_conversion,[],[f788]) ).
cnf(s104,plain,
( spl0_57
| ~ spl0_92 ),
inference(sat_conversion,[],[f798]) ).
cnf(s105,plain,
( spl0_57
| ~ spl0_93 ),
inference(sat_conversion,[],[f803]) ).
cnf(s106,plain,
( ~ spl0_58
| ~ spl0_94 ),
inference(sat_conversion,[],[f808]) ).
cnf(s107,plain,
( ~ spl0_58
| spl0_95 ),
inference(sat_conversion,[],[f813]) ).
cnf(s108,plain,
( ~ spl0_48
| ~ spl0_96 ),
inference(sat_conversion,[],[f818]) ).
cnf(s112,plain,
( ~ spl0_51
| ~ spl0_100 ),
inference(sat_conversion,[],[f838]) ).
cnf(s113,plain,
( ~ spl0_51
| spl0_101 ),
inference(sat_conversion,[],[f843]) ).
cnf(s116,plain,
( ~ spl0_54
| ~ spl0_104 ),
inference(sat_conversion,[],[f858]) ).
cnf(s118,plain,
( ~ spl0_54
| ~ spl0_106 ),
inference(sat_conversion,[],[f868]) ).
cnf(s122,plain,
( ~ spl0_47
| spl0_111 ),
inference(sat_conversion,[],[f892]) ).
cnf(s124,plain,
( spl0_45
| ~ spl0_113 ),
inference(sat_conversion,[],[f902]) ).
cnf(s125,plain,
( spl0_49
| spl0_114 ),
inference(sat_conversion,[],[f907]) ).
cnf(s126,plain,
( spl0_49
| ~ spl0_115 ),
inference(sat_conversion,[],[f912]) ).
cnf(s127,plain,
( ~ spl0_46
| ~ spl0_116 ),
inference(sat_conversion,[],[f917]) ).
cnf(s128,plain,
( ~ spl0_44
| ~ spl0_117 ),
inference(sat_conversion,[],[f922]) ).
cnf(s129,plain,
( ~ spl0_44
| spl0_118 ),
inference(sat_conversion,[],[f927]) ).
cnf(s130,plain,
( ~ spl0_26
| spl0_119 ),
inference(sat_conversion,[],[f932]) ).
cnf(s131,plain,
( ~ spl0_37
| spl0_120 ),
inference(sat_conversion,[],[f937]) ).
cnf(s132,plain,
( ~ spl0_32
| ~ spl0_121 ),
inference(sat_conversion,[],[f942]) ).
cnf(s133,plain,
( ~ spl0_32
| spl0_122 ),
inference(sat_conversion,[],[f947]) ).
cnf(s135,plain,
( spl0_34
| spl0_124 ),
inference(sat_conversion,[],[f957]) ).
cnf(s136,plain,
( spl0_34
| spl0_125 ),
inference(sat_conversion,[],[f962]) ).
cnf(s137,plain,
( ~ spl0_43
| spl0_126 ),
inference(sat_conversion,[],[f967]) ).
cnf(s138,plain,
( ~ spl0_43
| spl0_127 ),
inference(sat_conversion,[],[f972]) ).
cnf(s140,plain,
( ~ spl0_56
| spl0_129 ),
inference(sat_conversion,[],[f982]) ).
cnf(s141,plain,
( ~ spl0_56
| spl0_130 ),
inference(sat_conversion,[],[f987]) ).
cnf(s142,plain,
( ~ spl0_30
| spl0_131 ),
inference(sat_conversion,[],[f992]) ).
cnf(s143,plain,
( ~ spl0_30
| ~ spl0_132 ),
inference(sat_conversion,[],[f997]) ).
cnf(s144,plain,
( spl0_57
| ~ spl0_133 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s145,plain,
( ~ spl0_58
| spl0_134 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s146,plain,
( ~ spl0_48
| spl0_135 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s147,plain,
( ~ spl0_48
| ~ spl0_136 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s151,plain,
( ~ spl0_51
| spl0_140 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s156,plain,
( ~ spl0_39
| spl0_145 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s157,plain,
( ~ spl0_39
| spl0_146 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s158,plain,
( ~ spl0_39
| spl0_147 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s159,plain,
( spl0_36
| spl0_148 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s160,plain,
( spl0_36
| spl0_149 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s161,plain,
( spl0_36
| ~ spl0_150 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s162,plain,
( spl0_41
| spl0_151 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s163,plain,
( spl0_41
| ~ spl0_152 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s164,plain,
( spl0_41
| spl0_153 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s169,plain,
( ~ spl0_34
| spl0_43
| spl0_48 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s173,plain,
( spl0_29
| spl0_32
| ~ spl0_62 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s180,plain,
( ~ spl0_3
| ~ spl0_29 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s183,plain,
( ~ spl0_3
| ~ spl0_32 ),
inference(sat_conversion,[],[f1133]) ).
cnf(s204,plain,
( ~ spl0_3
| spl0_62 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s216,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f1246]) ).
cnf(s220,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_151
| spl0_152 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s225,plain,
( ~ spl0_4
| ~ spl0_33
| spl0_152
| ~ spl0_153 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s240,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19
| ~ spl0_135
| spl0_136 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s255,plain,
( ~ spl0_8
| spl0_100
| ~ spl0_101
| ~ spl0_140 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s259,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_65
| spl0_113 ),
inference(sat_conversion,[],[f1445]) ).
cnf(s272,plain,
( ~ spl0_7
| spl0_90
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s290,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_21
| spl0_93
| spl0_133 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s304,plain,
( ~ spl0_15
| spl0_78
| spl0_79
| ~ spl0_120 ),
inference(sat_conversion,[],[f1601]) ).
cnf(s306,plain,
( ~ spl0_4
| ~ spl0_33
| spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f1603]) ).
cnf(s311,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_20
| spl0_64
| ~ spl0_111 ),
inference(sat_conversion,[],[f1610]) ).
cnf(s313,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_27
| ~ spl0_86
| ~ spl0_124 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s317,plain,
( ~ spl0_2
| ~ spl0_151
| spl0_152
| spl0_159 ),
inference(sat_conversion,[],[f1640]) ).
cnf(s352,plain,
( ~ spl0_13
| spl0_66
| ~ spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f1792]) ).
cnf(s353,plain,
( ~ spl0_7
| spl0_66
| ~ spl0_114
| ~ spl0_165 ),
inference(sat_conversion,[],[f1797]) ).
cnf(s365,plain,
( ~ spl0_2
| ~ spl0_114
| spl0_115
| spl0_165 ),
inference(sat_conversion,[],[f1836]) ).
cnf(s372,plain,
( ~ spl0_13
| ~ spl0_21
| spl0_93
| spl0_133 ),
inference(sat_conversion,[],[f1904]) ).
cnf(s417,plain,
( ~ spl0_8
| ~ spl0_86
| ~ spl0_125
| spl0_163 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s440,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_38
| spl0_104
| spl0_106 ),
inference(sat_conversion,[],[f2157]) ).
cnf(s449,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_86
| ~ spl0_124 ),
inference(sat_conversion,[],[f2186]) ).
cnf(s454,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_27
| ~ spl0_87
| ~ spl0_126 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s466,plain,
( ~ spl0_9
| spl0_93
| spl0_133
| spl0_166 ),
inference(sat_conversion,[],[f2213]) ).
cnf(s478,plain,
( ~ spl0_2
| spl0_78
| ~ spl0_120
| spl0_160 ),
inference(sat_conversion,[],[f2266]) ).
cnf(s499,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20
| ~ spl0_135
| spl0_136 ),
inference(sat_conversion,[],[f2313]) ).
cnf(s510,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20
| ~ spl0_131
| spl0_132 ),
inference(sat_conversion,[],[f2351]) ).
cnf(s540,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_79
| ~ spl0_120 ),
inference(sat_conversion,[],[f2395]) ).
cnf(s556,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_87
| ~ spl0_126
| ~ spl0_127 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s567,plain,
( ~ spl0_11
| spl0_79
| ~ spl0_120
| ~ spl0_160 ),
inference(sat_conversion,[],[f2493]) ).
cnf(s571,plain,
( ~ spl0_11
| ~ spl0_63
| spl0_64
| ~ spl0_111 ),
inference(sat_conversion,[],[f2497]) ).
cnf(s607,plain,
( ~ spl0_18
| ~ spl0_124
| ~ spl0_125
| spl0_163 ),
inference(sat_conversion,[],[f2604]) ).
cnf(s613,plain,
( ~ spl0_22
| spl0_77
| ~ spl0_119
| ~ spl0_161 ),
inference(sat_conversion,[],[f2624]) ).
cnf(s625,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_27
| ~ spl0_86
| ~ spl0_124 ),
inference(sat_conversion,[],[f2671]) ).
cnf(s669,plain,
( ~ spl0_16
| spl0_76
| ~ spl0_119
| ~ spl0_161 ),
inference(sat_conversion,[],[f2714]) ).
cnf(s670,plain,
( ~ spl0_16
| ~ spl0_19
| spl0_76
| ~ spl0_119 ),
inference(sat_conversion,[],[f2715]) ).
cnf(s694,plain,
( ~ spl0_4
| spl0_152
| ~ spl0_153
| ~ spl0_159 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s705,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_126
| ~ spl0_127 ),
inference(sat_conversion,[],[f2831]) ).
cnf(s715,plain,
( ~ spl0_18
| spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f2842]) ).
cnf(s725,plain,
( spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(sat_conversion,[],[f2861]) ).
cnf(s726,plain,
( ~ spl0_1
| ~ spl0_129
| ~ spl0_130
| ~ spl0_157 ),
inference(sat_conversion,[],[f2862]) ).
cnf(s754,plain,
( ~ spl0_15
| spl0_64
| ~ spl0_111
| spl0_164 ),
inference(sat_conversion,[],[f2886]) ).
cnf(s778,plain,
( ~ spl0_5
| spl0_67
| spl0_68
| spl0_116 ),
inference(sat_conversion,[],[f2984]) ).
cnf(s812,plain,
( ~ spl0_20
| spl0_76
| spl0_77
| ~ spl0_119 ),
inference(sat_conversion,[],[f3042]) ).
cnf(s901,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_21
| ~ spl0_135
| spl0_136 ),
inference(sat_conversion,[],[f3140]) ).
cnf(s913,plain,
( ~ spl0_5
| ~ spl0_18
| spl0_80
| spl0_121
| ~ spl0_122 ),
inference(sat_conversion,[],[f3190]) ).
cnf(s919,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_86
| ~ spl0_124
| ~ spl0_125 ),
inference(sat_conversion,[],[f3216]) ).
cnf(s954,plain,
( ~ spl0_6
| ~ spl0_148
| ~ spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f3254]) ).
cnf(s972,plain,
( ~ spl0_4
| ~ spl0_135
| spl0_136
| ~ spl0_174 ),
inference(sat_conversion,[],[f3265]) ).
cnf(s974,plain,
( ~ spl0_18
| ~ spl0_20
| spl0_96
| ~ spl0_135 ),
inference(sat_conversion,[],[f3268]) ).
cnf(s975,plain,
( ~ spl0_18
| ~ spl0_20
| spl0_94
| ~ spl0_134 ),
inference(sat_conversion,[],[f3269]) ).
cnf(s1070,plain,
( ~ spl0_6
| ~ spl0_129
| ~ spl0_130
| spl0_157 ),
inference(sat_conversion,[],[f3351]) ).
cnf(s1198,plain,
( ~ spl0_16
| spl0_94
| ~ spl0_95
| ~ spl0_134 ),
inference(sat_conversion,[],[f3550]) ).
cnf(s1215,plain,
( ~ spl0_10
| ~ spl0_124
| ~ spl0_125
| ~ spl0_163 ),
inference(sat_conversion,[],[f3596]) ).
cnf(s1216,plain,
( ~ spl0_10
| ~ spl0_145
| ~ spl0_146
| ~ spl0_147 ),
inference(sat_conversion,[],[f3597]) ).
cnf(s1217,plain,
( ~ spl0_5
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f3614]) ).
cnf(s1218,plain,
( ~ spl0_20
| spl0_92
| spl0_93
| ~ spl0_166 ),
inference(sat_conversion,[],[f3616]) ).
cnf(s1220,plain,
( ~ spl0_20
| spl0_96
| ~ spl0_135
| spl0_174 ),
inference(sat_conversion,[],[f3618]) ).
cnf(s1292,plain,
( ~ spl0_21
| spl0_76
| spl0_77
| spl0_161 ),
inference(sat_conversion,[],[f3684]) ).
cnf(s1302,plain,
( ~ spl0_1
| ~ spl0_87
| ~ spl0_126
| ~ spl0_127 ),
inference(sat_conversion,[],[f3692]) ).
cnf(s1323,plain,
( ~ spl0_10
| ~ spl0_18
| ~ spl0_153
| ~ spl0_159 ),
inference(sat_conversion,[],[f3734]) ).
cnf(s1349,plain,
( ~ spl0_1
| ~ spl0_86
| ~ spl0_124
| ~ spl0_163 ),
inference(sat_conversion,[],[f3772]) ).
cnf(s1352,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_111
| ~ spl0_164 ),
inference(sat_conversion,[],[f3778]) ).
cnf(s1376,plain,
( ~ spl0_19
| spl0_96
| ~ spl0_135
| spl0_136 ),
inference(sat_conversion,[],[f3885]) ).
cnf(s1378,plain,
( spl0_16
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s725,s8,s12]) ).
cnf(s1379,plain,
( spl0_36
| ~ spl0_6 ),
inference(rat,[],[s954,s159,s160,s161]) ).
cnf(s1380,plain,
( spl0_21
| spl0_11
| ~ spl0_36
| ~ spl0_4
| spl0_3 ),
inference(rat,[],[s306,s128,s129,s23,s33]) ).
cnf(s1383,plain,
( ~ spl0_39
| ~ spl0_10 ),
inference(rat,[],[s1216,s156,s157,s158]) ).
cnf(s1384,plain,
( ~ spl0_48
| ~ spl0_36
| spl0_5
| spl0_8
| ~ spl0_4
| spl0_3 ),
inference(rat,[],[s23,s225,s901,s163,s164,s10,s29,s1220,s972,s108,s146,s147]) ).
cnf(s1385,plain,
( spl0_5
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s23,s225,s372,s163,s164,s10,s29,s1218,s466,s4,s104,s105,s144,s1383,s65,s44,s1384,s1379,s2,s255,s113,s151,s112,s62]) ).
cnf(s1386,plain,
( ~ spl0_10
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s607,s1215,s135,s136,s11,s32,s901,s10,s1220,s972,s108,s146,s147,s44,s1383,s255,s113,s151,s112,s62]) ).
cnf(s1387,plain,
( spl0_57
| ~ spl0_21
| ~ spl0_9
| spl0_8
| spl0_3 ),
inference(rat,[],[s1218,s10,s466,s372,s104,s105,s144]) ).
cnf(s1388,plain,
( ~ spl0_21
| ~ spl0_9
| spl0_8
| ~ spl0_4
| spl0_3 ),
inference(rat,[],[s10,s1220,s901,s972,s108,s146,s147,s65,s1387]) ).
cnf(s1389,plain,
( ~ spl0_46
| ~ spl0_5 ),
inference(rat,[],[s778,s79,s80,s127]) ).
cnf(s1392,plain,
( ~ spl0_37
| ~ spl0_11
| ~ spl0_13 ),
inference(rat,[],[s540,s91,s131]) ).
cnf(s1393,plain,
( spl0_49
| ~ spl0_13 ),
inference(rat,[],[s352,s78,s125,s126]) ).
cnf(s1394,plain,
( ~ spl0_32
| ~ spl0_18
| ~ spl0_5 ),
inference(rat,[],[s913,s92,s132,s133]) ).
cnf(s1395,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1392,s39,s5,s919,s1394,s1379,s68,s1389,s98,s135,s136,s725,s32,s10,s11,s1217,s13,s1388,s4,s1386,s1385,s255,s112,s113,s151,s1,s62]) ).
cnf(s1396,plain,
~ spl0_3,
inference(rat,[],[s173,s180,s183,s204]) ).
cnf(s1397,plain,
( ~ spl0_5
| spl0_21
| spl0_1 ),
inference(rat,[],[s725,s12,s919,s5,s567,s478,s90,s91,s131,s39,s1394,s98,s135,s136,s1379,s11,s32,s68,s1217,s1389,s1395,s1396]) ).
cnf(s1398,plain,
( spl0_41
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s317,s694,s162,s163,s164]) ).
cnf(s1399,plain,
( ~ spl0_26
| ~ spl0_20 ),
inference(rat,[],[s812,s88,s89,s130]) ).
cnf(s1400,plain,
( ~ spl0_43
| ~ spl0_7
| ~ spl0_20
| spl0_21
| ~ spl0_4 ),
inference(rat,[],[s1379,s1380,s5,s571,s75,s76,s122,s56,s454,s556,s99,s137,s138,s1399,s1396]) ).
cnf(s1401,plain,
( spl0_21
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s31,s255,s1400,s112,s113,s151,s60,s55,s1399,s29,s1397,s1398,s1395,s1396]) ).
cnf(s1402,plain,
( ~ spl0_26
| ~ spl0_21
| spl0_1 ),
inference(rat,[],[s12,s669,s613,s1292,s88,s89,s130,s1396]) ).
cnf(s1404,plain,
( ~ spl0_48
| ~ spl0_13
| ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s901,s146,s147]) ).
cnf(s1405,plain,
( ~ spl0_13
| spl0_8
| ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s372,s105,s144,s65,s1404,s1396]) ).
cnf(s1406,plain,
( ~ spl0_30
| ~ spl0_20
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s510,s142,s143]) ).
cnf(s1407,plain,
( spl0_57
| ~ spl0_6
| ~ spl0_21
| ~ spl0_2 ),
inference(rat,[],[s290,s105,s144]) ).
cnf(s1408,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s499,s146,s147,s65,s1407,s19,s1406,s10,s1405,s1388,s255,s112,s113,s151,s60,s55,s1402,s1401,s1398,s1395,s1396]) ).
cnf(s1409,plain,
( ~ spl0_56
| ~ spl0_7 ),
inference(rat,[],[s272,s102,s140,s141]) ).
cnf(s1410,plain,
( spl0_8
| ~ spl0_11
| spl0_10
| spl0_20
| spl0_5
| spl0_4 ),
inference(rat,[],[s440,s116,s118,s63,s1409,s9,s1376,s108,s146,s147,s24,s40,s1392,s1393,s10,s3,s1396]) ).
cnf(s1412,plain,
( ~ spl0_58
| ~ spl0_16 ),
inference(rat,[],[s1198,s106,s107,s145]) ).
cnf(s1414,plain,
( ~ spl0_47
| ~ spl0_11 ),
inference(rat,[],[s571,s75,s76,s122]) ).
cnf(s1415,plain,
( spl0_20
| ~ spl0_16
| spl0_5
| spl0_21
| ~ spl0_2 ),
inference(rat,[],[s304,s90,s91,s131,s24,s440,s116,s118,s9,s63,s670,s1409,s88,s130,s59,s56,s1414,s625,s5,s1323,s919,s220,s317,s98,s135,s136,s162,s163,s164,s11,s15,s32,s29,s1412,s1396]) ).
cnf(s1416,plain,
( ~ spl0_48
| ~ spl0_19
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s240,s146,s147]) ).
cnf(s1417,plain,
( spl0_21
| spl0_1 ),
inference(rat,[],[s216,s125,s126,s40,s1416,s9,s5,s311,s1414,s76,s122,s56,s454,s556,s99,s137,s138,s3,s31,s255,s112,s113,s151,s55,s1399,s1415,s1378,s1397,s1395,s1408,s1396]) ).
cnf(s1418,plain,
( ~ spl0_5
| spl0_18
| ~ spl0_2 ),
inference(rat,[],[s259,s77,s124,s51,s1389,s1396]) ).
cnf(s1419,plain,
( spl0_20
| spl0_1 ),
inference(rat,[],[s220,s5,s162,s163,s1410,s29,s1418,s556,s705,s99,s137,s138,s47,s715,s1376,s108,s146,s147,s40,s1393,s10,s1395,s1409,s3,s255,s113,s151,s112,s55,s1402,s1417,s1408,s1396]) ).
cnf(s1420,plain,
( ~ spl0_48
| ~ spl0_19 ),
inference(rat,[],[s1376,s108,s146,s147]) ).
cnf(s1421,plain,
( spl0_49
| spl0_1 ),
inference(rat,[],[s353,s365,s78,s125,s126,s1395,s3,s255,s113,s151,s112,s55,s1402,s1417,s1408,s1396]) ).
cnf(s1423,plain,
spl0_1,
inference(rat,[],[s311,s76,s122,s56,s454,s9,s99,s137,s1418,s47,s974,s1420,s108,s146,s40,s1421,s1419,s1409,s3,s255,s112,s113,s151,s55,s1402,s1417,s1408,s1395,s1396]) ).
cnf(s1424,plain,
( spl0_34
| ~ spl0_8 ),
inference(rat,[],[s1349,s417,s98,s135,s136,s1423]) ).
cnf(s1425,plain,
( ~ spl0_58
| spl0_5
| ~ spl0_20 ),
inference(rat,[],[s8,s975,s1412,s106,s145,s1396]) ).
cnf(s1426,plain,
~ spl0_43,
inference(rat,[],[s1302,s99,s137,s138,s1423]) ).
cnf(s1427,plain,
( ~ spl0_34
| spl0_21 ),
inference(rat,[],[s1352,s754,s75,s76,s122,s59,s1409,s9,s47,s1425,s1420,s1217,s169,s32,s1426,s1396,s1423]) ).
cnf(s1428,plain,
spl0_21,
inference(rat,[],[s1427,s1424,s31,s1426,s1396]) ).
cnf(s1429,plain,
( spl0_7
| spl0_4 ),
inference(rat,[],[s1352,s754,s75,s76,s122,s59,s1412,s8,s9,s1389,s38,s1070,s726,s140,s141,s47,s715,s1420,s169,s1424,s3,s1428,s1426,s1396,s1423]) ).
cnf(s1430,plain,
spl0_4,
inference(rat,[],[s1389,s8,s607,s57,s449,s1349,s313,s10,s1424,s98,s135,s136,s1393,s169,s40,s1420,s47,s1409,s1429,s1396,s1423,s1426]) ).
cnf(s1431,plain,
( spl0_5
| spl0_7 ),
inference(rat,[],[s1399,s60,s29,s1398,s1385,s1396,s1430]) ).
cnf(s1432,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(rat,[],[s1424,s65,s169,s1420,s715,s1407,s1418,s38,s1389,s1396,s1426,s1428]) ).
cnf(s1433,plain,
spl0_2,
inference(rat,[],[s1388,s255,s4,s112,s113,s151,s1386,s62,s1428,s1430,s1396]) ).
cnf(s1435,plain,
~ spl0_5,
inference(rat,[],[s1432,s1433]) ).
cnf(s1437,plain,
spl0_7,
inference(rat,[],[s1431,s1435]) ).
cnf(s1440,plain,
~ spl0_56,
inference(rat,[],[s1409,s1437]) ).
cnf(s1443,plain,
spl0_19,
inference(rat,[],[s47,s1396,s1426,s1440]) ).
cnf(s1445,plain,
~ spl0_48,
inference(rat,[],[s1420,s1443]) ).
cnf(s1449,plain,
~ spl0_34,
inference(rat,[],[s169,s1426,s1445]) ).
cnf(s1452,plain,
spl0_125,
inference(rat,[],[s136,s1449]) ).
cnf(s1453,plain,
spl0_124,
inference(rat,[],[s135,s1449]) ).
cnf(s1454,plain,
spl0_86,
inference(rat,[],[s98,s1449]) ).
cnf(s1457,plain,
~ spl0_163,
inference(rat,[],[s1349,s1453,s1423,s1454]) ).
cnf(s1458,plain,
~ spl0_16,
inference(rat,[],[s449,s1453,s1423,s1454]) ).
cnf(s1465,plain,
~ spl0_18,
inference(rat,[],[s607,s1453,s1452,s1457]) ).
cnf(s1466,plain,
$false,
inference(rat,[],[s8,s1435,s1396,s1465,s1458]) ).
fof(f3887,plain,
$false,
inference(avatar_sat_refutation,[],[s1466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN499-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:17:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.29 % (2050246)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (2050252)% WARNING: option uhcvi not known.
% 0.20/0.29 % (2050252)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1708936251:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (2050251)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2453650515_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (2050253)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2956893679:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (2050254)dis+10_1_sil=32000:sp=arity:random_seed=2526600989:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (2050255)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1828952184:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (2050256)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1651463514:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (2050257)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2205913056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % Detected minimum model sizes of [1]
% 0.20/0.29 % Detected maximum model sizes of [31]
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % TRYING [3]
% 0.20/0.29 % (2050252) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2050246-2050252"...
% 0.20/0.29 % (2050252)...printing done.
% 0.20/0.29 % (2050257) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2050246-2050257"...
% 0.20/0.29 % (2050252)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30 % (2050252)------------------------------
% 0.20/0.30 % (2050252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (2050252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (2050252)CaDiCaL version: 2.1.3
% 0.20/0.30 % (2050252)Termination reason: Refutation
% 0.20/0.30 % (2050252)Time elapsed: 0.033 s
% 0.20/0.30 % (2050252)Peak memory usage: 13 MB
% 0.20/0.30 % (2050252)Instructions burned: 87 (million)
% 0.20/0.30 % (2050246)Success in time 0.063 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------