%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN442-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 02:08:24 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.17s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 258
% Syntax : Number of formulae : 926 ( 25 unt; 141 def)
% Number of atoms : 2926 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3351 (1351 ~;1859 |; 0 &)
% ( 141 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 175 ( 174 usr; 171 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 26 con; 0-0 aty)
% Number of variables : 192 ( 0 sgn 192 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f14,negated_conjecture,
( ~ hskp18
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f22,negated_conjecture,
( ~ hskp10
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f33,negated_conjecture,
( hskp30
| hskp10
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp9
| hskp21
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f40,negated_conjecture,
( ~ hskp29
| c0_1(a150) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( ~ hskp29
| c1_1(a150) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( ~ hskp29
| c3_1(a150) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp28
| c0_1(a143) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp28
| c2_1(a143) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp28
| c3_1(a143) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp27
| c1_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp27
| c2_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp27
| c3_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp26
| c2_1(a196) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp25
| c2_1(a192) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp23
| c1_1(a181) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp23
| c2_1(a181) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f55,negated_conjecture,
( ~ hskp21
| c3_1(a170) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f57,negated_conjecture,
( ~ hskp19
| c0_1(a162) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( ~ hskp19
| c3_1(a162) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp18
| c0_1(a159) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp17
| c1_1(a158) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp16
| c0_1(a151) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp16
| c1_1(a151) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp15
| c3_1(a149) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp13
| c2_1(a144) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp12
| c1_1(a140) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp12
| c3_1(a140) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f70,negated_conjecture,
( ~ hskp9
| c0_1(a136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp9
| c2_1(a136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp8
| c2_1(a135) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp8
| c3_1(a135) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp7
| c1_1(a134) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp5
| c1_1(a131) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp5
| c3_1(a131) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp4
| c1_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp4
| c2_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp2
| c0_1(a126) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp1
| c0_1(a125) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp1
| c1_1(a125) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp0
| c2_1(a124) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp0
| c3_1(a124) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ c0_1(a196)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f86,negated_conjecture,
( ~ c1_1(a192)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ c3_1(a192)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ c1_1(a183)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ c2_1(a183)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ c3_1(a183)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ c0_1(a181)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f93,negated_conjecture,
( ~ c0_1(a170)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ c2_1(a170)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f97,negated_conjecture,
( ~ c2_1(a162)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c2_1(a159)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c3_1(a159)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c2_1(a158)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c3_1(a158)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c2_1(a151)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c1_1(a149)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c2_1(a149)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c0_1(a145)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c1_1(a145)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c3_1(a145)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c0_1(a144)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c3_1(a144)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c0_1(a140)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f114,negated_conjecture,
( ~ c3_1(a136)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f116,negated_conjecture,
( ~ c0_1(a134)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c3_1(a134)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c0_1(a133)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c1_1(a133)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c2_1(a133)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c2_1(a131)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c3_1(a130)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ c0_1(a128)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ c2_1(a128)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c3_1(a128)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c1_1(a126)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c2_1(a126)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f129,negated_conjecture,
( ~ c0_1(a124)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| hskp1
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f132,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp4
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f137,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp28
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp14
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp27
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp29
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp7
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp4
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f144,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp16
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp1
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp18
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f147,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp16
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp16
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f153,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp4
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp19
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f156,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp25
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f157,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp27
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f158,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp18
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,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)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| c2_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f186,plain,
( hskp30
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f198,plain,
( ~ hskp18
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f206,plain,
( hskp10
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f217,plain,
( ~ hskp30
| ~ hskp10
| hskp18 ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f218,plain,
( hskp9
| ~ hskp21
| ~ hskp6 ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f224,plain,
( hskp29
| c0_1(a150) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f225,plain,
( hskp29
| c1_1(a150) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f226,plain,
( hskp29
| ~ c3_1(a150) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f227,plain,
( ~ hskp28
| ~ c3_1(a143) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f228,plain,
( hskp27
| c1_1(a137) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f229,plain,
( hskp27
| c2_1(a137) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f230,plain,
( hskp27
| ~ c3_1(a137) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f231,plain,
( hskp25
| c2_1(a192) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f232,plain,
( hskp23
| c1_1(a181) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f233,plain,
( hskp23
| c2_1(a181) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f236,plain,
( hskp21
| ~ c3_1(a170) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f237,plain,
( hskp19
| c0_1(a162) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f238,plain,
( hskp19
| ~ c3_1(a162) ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f239,plain,
( hskp17
| c1_1(a158) ),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f240,plain,
( hskp15
| ~ c3_1(a149) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f241,plain,
( hskp12
| c1_1(a140) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f242,plain,
( hskp12
| ~ c3_1(a140) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f246,plain,
( hskp8
| c2_1(a135) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f247,plain,
( hskp8
| ~ c3_1(a135) ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f248,plain,
( hskp7
| c1_1(a134) ),
inference(consistent_polarity_flipping,[],[f74]) ).
fof(f249,plain,
( ~ hskp5
| ~ c3_1(a131) ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f250,plain,
( hskp0
| c2_1(a124) ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f251,plain,
( hskp0
| ~ c3_1(a124) ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f252,plain,
( ~ c1_1(a192)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f253,plain,
( c3_1(a192)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f254,plain,
( c3_1(a183)
| ~ hskp24 ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f255,plain,
( ~ c0_1(a181)
| hskp23 ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f257,plain,
( ~ c0_1(a170)
| hskp21 ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f258,plain,
( ~ c2_1(a170)
| hskp21 ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f259,plain,
( ~ c2_1(a162)
| hskp19 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f260,plain,
( c3_1(a159)
| ~ hskp18 ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f261,plain,
( ~ c2_1(a158)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f262,plain,
( c3_1(a158)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f263,plain,
( ~ c1_1(a149)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f264,plain,
( ~ c2_1(a149)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f265,plain,
( ~ c0_1(a145)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f105]) ).
fof(f266,plain,
( ~ c1_1(a145)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f267,plain,
( c3_1(a145)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f268,plain,
( c3_1(a144)
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f269,plain,
( ~ c0_1(a140)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f273,plain,
( c3_1(a136)
| ~ hskp9 ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f275,plain,
( ~ c0_1(a134)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f276,plain,
( c3_1(a134)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f277,plain,
( ~ c0_1(a133)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f278,plain,
( ~ c1_1(a133)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f279,plain,
( ~ c2_1(a133)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f280,plain,
( c3_1(a130)
| ~ hskp4 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f281,plain,
( c3_1(a128)
| ~ hskp3 ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f283,plain,
( ~ c0_1(a124)
| hskp0 ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f284,plain,
! [X0] :
( ndr1_0
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0)
| hskp1
| hskp2 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f286,plain,
! [X0] :
( c3_1(X0)
| ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp4
| hskp5 ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f291,plain,
! [X0] :
( c3_1(X0)
| ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp28
| hskp13 ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f292,plain,
! [X0] :
( c3_1(X0)
| ndr1_0
| c0_1(X0)
| c2_1(X0)
| ~ hskp14
| hskp3 ),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f293,plain,
! [X0] :
( ~ c1_1(X0)
| ndr1_0
| c0_1(X0)
| ~ c3_1(X0)
| ~ hskp27
| ~ hskp15 ),
inference(consistent_polarity_flipping,[],[f139]) ).
fof(f294,plain,
! [X0] :
( ~ c2_1(X0)
| ndr1_0
| c0_1(X0)
| ~ c3_1(X0)
| ~ hskp29
| hskp3 ),
inference(consistent_polarity_flipping,[],[f140]) ).
fof(f296,plain,
! [X0] :
( ~ c2_1(X0)
| ndr1_0
| c0_1(X0)
| ~ c3_1(X0)
| ~ hskp7
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f297,plain,
! [X0] :
( ~ c0_1(X0)
| ndr1_0
| c1_1(X0)
| ~ c3_1(X0)
| hskp4
| hskp5 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f298,plain,
! [X0] :
( ~ c2_1(X0)
| ndr1_0
| c1_1(X0)
| ~ c3_1(X0)
| hskp16
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f144]) ).
fof(f299,plain,
! [X0] :
( ~ c0_1(X0)
| ndr1_0
| c2_1(X0)
| ~ c3_1(X0)
| hskp1
| hskp3 ),
inference(consistent_polarity_flipping,[],[f145]) ).
fof(f300,plain,
! [X0] :
( ~ c1_1(X0)
| ndr1_0
| c2_1(X0)
| ~ c3_1(X0)
| hskp18
| ~ hskp21 ),
inference(consistent_polarity_flipping,[],[f146]) ).
fof(f301,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ndr1_0
| c2_1(X0)
| ~ hskp15 ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f302,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ndr1_0
| ~ c3_1(X0)
| ~ hskp12 ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f303,plain,
! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ndr1_0
| c1_1(X0)
| hskp16
| ~ hskp21 ),
inference(consistent_polarity_flipping,[],[f149]) ).
fof(f305,plain,
! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ndr1_0
| c2_1(X0)
| hskp16
| ~ hskp23 ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f307,plain,
! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| c2_1(X0)
| hskp4
| hskp24 ),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f308,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ndr1_0
| ~ hskp19
| hskp13 ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f310,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| ~ hskp25
| hskp24 ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f311,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ hskp27
| hskp26 ),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f312,plain,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ndr1_0
| hskp18
| ~ hskp12 ),
inference(consistent_polarity_flipping,[],[f158]) ).
fof(f313,plain,
! [X0,X1] :
( c3_1(X0)
| ndr1_0
| c0_1(X0)
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ hskp0 ),
inference(consistent_polarity_flipping,[],[f159]) ).
fof(f314,plain,
! [X0,X1] :
( c3_1(X0)
| ndr1_0
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1)
| hskp9 ),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f315,plain,
! [X0,X1] :
( c3_1(X0)
| ndr1_0
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1)
| ~ hskp27 ),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f316,plain,
! [X0,X1] :
( ~ c2_1(X0)
| ndr1_0
| c3_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp3 ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f317,plain,
! [X0,X1] :
( ~ c1_1(X0)
| ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| ~ c3_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| hskp16 ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f320,plain,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ hskp29 ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f323,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ hskp8 ),
inference(consistent_polarity_flipping,[],[f169]) ).
fof(f324,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| c2_1(X0)
| c2_1(X1)
| ~ c3_1(X1)
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f326,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp16 ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ndr1_0
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f329,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| hskp18 ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f331,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| ~ c3_1(X2)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f335,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)
| c1_1(X2)
| ~ c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f181]) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| c3_1(X1)
| ~ c2_1(X2)
| c3_1(X2)
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2) ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| c3_1(X1)
| ~ c0_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f184]) ).
fof(f340,definition,
( spl0_1
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f341,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c1_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f343,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f344,plain,
( ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f346,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f350,definition,
( spl0_4
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f351,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f352,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f338,f350,f346,f343,f340]) ).
fof(f354,definition,
( spl0_5
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f355,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f358,plain,
( ! [X1] :
( c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( spl0_5
| spl0_6
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f337,f350,f346,f357,f354]) ).
fof(f361,definition,
( spl0_7
<=> ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f362,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,definition,
( spl0_8
<=> ! [X1] :
( c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f365,plain,
( ! [X1] :
( c3_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f367,definition,
( spl0_9
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f368,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f369,plain,
( spl0_7
| spl0_8
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f336,f367,f346,f364,f361]) ).
fof(f371,definition,
( spl0_10
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f372,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f373,plain,
( spl0_1
| spl0_10
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f335,f367,f346,f371,f340]) ).
fof(f375,definition,
( spl0_11
<=> ! [X2] :
( c1_1(X2)
| ~ c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f376,plain,
( ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c2_1(X2) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f378,definition,
( spl0_12
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f379,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f380,plain,
( spl0_11
| spl0_12
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f334,f350,f346,f378,f375]) ).
fof(f382,definition,
( spl0_13
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f386,definition,
( spl0_14
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f387,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f390,definition,
( spl0_15
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f391,plain,
( ! [X2] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f393,definition,
( spl0_16
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f394,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f396,definition,
( spl0_17
<=> ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f397,plain,
( ! [X0] :
( c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f400,definition,
( spl0_18
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f404,definition,
( spl0_19
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f405,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f407,definition,
( spl0_20
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f408,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f409,plain,
( spl0_18
| spl0_19
| spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f331,f407,f346,f404,f400]) ).
fof(f416,definition,
( spl0_22
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f420,definition,
( spl0_23
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f421,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( spl0_22
| spl0_23
| spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f329,f386,f346,f420,f416]) ).
fof(f424,definition,
( spl0_24
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f425,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,definition,
( spl0_25
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f428,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f429,plain,
( spl0_15
| spl0_24
| spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f328,f427,f346,f424,f390]) ).
fof(f439,definition,
( spl0_28
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f442,plain,
( spl0_28
| spl0_25
| spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f326,f386,f346,f427,f439]) ).
fof(f444,definition,
( spl0_29
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f449,definition,
( spl0_30
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f453,definition,
( spl0_31
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f454,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( ~ spl0_30
| spl0_31
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f324,f357,f346,f453,f449]) ).
fof(f457,definition,
( spl0_32
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f460,plain,
( ~ spl0_32
| spl0_1
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f323,f357,f346,f340,f457]) ).
fof(f462,definition,
( spl0_33
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f467,definition,
( spl0_34
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f471,definition,
( spl0_35
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f472,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f475,definition,
( spl0_36
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f478,plain,
( ~ spl0_36
| spl0_12
| spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f320,f420,f346,f378,f475]) ).
fof(f480,definition,
( spl0_37
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f484,definition,
( spl0_38
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f485,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f491,definition,
( spl0_40
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f495,definition,
( spl0_41
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f496,plain,
( ! [X1] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f501,plain,
( spl0_28
| spl0_12
| spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f317,f371,f346,f378,f439]) ).
fof(f503,definition,
( spl0_43
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f507,definition,
( spl0_44
<=> ! [X1] :
( c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f508,plain,
( ! [X1] :
( c3_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( spl0_43
| spl0_44
| spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f316,f340,f346,f507,f503]) ).
fof(f511,definition,
( spl0_45
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f514,plain,
( ~ spl0_45
| spl0_16
| spl0_3
| spl0_44 ),
inference(avatar_split_clause,[],[f315,f507,f346,f393,f511]) ).
fof(f516,definition,
( spl0_46
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f519,plain,
( spl0_46
| spl0_16
| spl0_3
| spl0_44 ),
inference(avatar_split_clause,[],[f314,f507,f346,f393,f516]) ).
fof(f521,definition,
( spl0_47
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f524,plain,
( ~ spl0_47
| spl0_24
| spl0_3
| spl0_41 ),
inference(avatar_split_clause,[],[f313,f495,f346,f424,f521]) ).
fof(f526,definition,
( spl0_48
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f529,plain,
( ~ spl0_48
| spl0_22
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f312,f350,f346,f416,f526]) ).
fof(f531,definition,
( spl0_49
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f534,plain,
( spl0_49
| ~ spl0_45
| spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f311,f386,f346,f511,f531]) ).
fof(f536,definition,
( spl0_50
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f540,definition,
( spl0_51
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f543,plain,
( spl0_50
| ~ spl0_51
| spl0_3
| spl0_35 ),
inference(avatar_split_clause,[],[f310,f471,f346,f540,f536]) ).
fof(f545,definition,
( spl0_52
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f549,definition,
( spl0_53
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f553,plain,
( spl0_18
| ~ spl0_33
| spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f308,f407,f346,f462,f400]) ).
fof(f555,definition,
( spl0_54
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f558,plain,
( spl0_50
| spl0_54
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f307,f367,f346,f555,f536]) ).
fof(f560,definition,
( spl0_55
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f565,definition,
( spl0_56
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f568,plain,
( ~ spl0_56
| spl0_28
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f305,f357,f346,f439,f565]) ).
fof(f571,definition,
( spl0_57
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f574,plain,
( ~ spl0_57
| spl0_28
| spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f303,f396,f346,f439,f571]) ).
fof(f575,plain,
( ~ spl0_48
| spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f302,f404,f346,f526]) ).
fof(f576,plain,
( ~ spl0_52
| spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f301,f343,f346,f545]) ).
fof(f577,plain,
( ~ spl0_57
| spl0_22
| spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f300,f371,f346,f416,f571]) ).
fof(f578,plain,
( spl0_43
| spl0_13
| spl0_3
| spl0_31 ),
inference(avatar_split_clause,[],[f299,f453,f346,f382,f503]) ).
fof(f579,plain,
( ~ spl0_30
| spl0_28
| spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f298,f340,f346,f439,f449]) ).
fof(f580,plain,
( spl0_55
| spl0_54
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f297,f354,f346,f555,f560]) ).
fof(f581,plain,
( ~ spl0_30
| ~ spl0_34
| spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f296,f378,f346,f467,f449]) ).
fof(f583,plain,
( spl0_43
| ~ spl0_36
| spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f294,f378,f346,f475,f503]) ).
fof(f584,plain,
( ~ spl0_52
| ~ spl0_45
| spl0_3
| spl0_38 ),
inference(avatar_split_clause,[],[f293,f484,f346,f511,f545]) ).
fof(f586,definition,
( spl0_58
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f589,plain,
( spl0_43
| ~ spl0_58
| spl0_3
| spl0_44 ),
inference(avatar_split_clause,[],[f292,f507,f346,f586,f503]) ).
fof(f590,plain,
( spl0_18
| spl0_29
| spl0_3
| spl0_44 ),
inference(avatar_split_clause,[],[f291,f507,f346,f444,f400]) ).
fof(f602,plain,
( spl0_55
| spl0_54
| spl0_3
| spl0_41 ),
inference(avatar_split_clause,[],[f286,f495,f346,f555,f560]) ).
fof(f607,plain,
( spl0_40
| spl0_13
| spl0_24
| spl0_3 ),
inference(avatar_split_clause,[],[f284,f346,f424,f382,f491]) ).
fof(f609,definition,
( spl0_62
<=> c0_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f612,plain,
( spl0_47
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f283,f609,f521]) ).
fof(f619,definition,
( spl0_64
<=> c2_1(a126) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f621,plain,
( ~ c2_1(a126)
| spl0_64 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f622,plain,
( ~ spl0_40
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f127,f619,f491]) ).
fof(f624,definition,
( spl0_65
<=> c1_1(a126) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f627,plain,
( ~ spl0_40
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f126,f624,f491]) ).
fof(f629,definition,
( spl0_66
<=> c3_1(a128) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f631,plain,
( c3_1(a128)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f632,plain,
( ~ spl0_43
| spl0_66 ),
inference(avatar_split_clause,[],[f281,f629,f503]) ).
fof(f634,definition,
( spl0_67
<=> c2_1(a128) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f636,plain,
( ~ c2_1(a128)
| spl0_67 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f637,plain,
( ~ spl0_43
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f124,f634,f503]) ).
fof(f639,definition,
( spl0_68
<=> c0_1(a128) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f642,plain,
( ~ spl0_43
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f123,f639,f503]) ).
fof(f644,definition,
( spl0_69
<=> c3_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f646,plain,
( c3_1(a130)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f647,plain,
( ~ spl0_54
| spl0_69 ),
inference(avatar_split_clause,[],[f280,f644,f555]) ).
fof(f649,definition,
( spl0_70
<=> c2_1(a131) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f652,plain,
( ~ spl0_55
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f121,f649,f560]) ).
fof(f654,definition,
( spl0_71
<=> c2_1(a133) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f656,plain,
( ~ c2_1(a133)
| spl0_71 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f657,plain,
( spl0_37
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f279,f654,f480]) ).
fof(f659,definition,
( spl0_72
<=> c1_1(a133) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f662,plain,
( spl0_37
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f278,f659,f480]) ).
fof(f664,definition,
( spl0_73
<=> c0_1(a133) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f667,plain,
( spl0_37
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f277,f664,f480]) ).
fof(f669,definition,
( spl0_74
<=> c3_1(a134) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f671,plain,
( c3_1(a134)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f672,plain,
( spl0_34
| spl0_74 ),
inference(avatar_split_clause,[],[f276,f669,f467]) ).
fof(f674,definition,
( spl0_75
<=> c0_1(a134) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f677,plain,
( spl0_34
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f275,f674,f467]) ).
fof(f684,definition,
( spl0_77
<=> c3_1(a136) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f686,plain,
( c3_1(a136)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f687,plain,
( ~ spl0_46
| spl0_77 ),
inference(avatar_split_clause,[],[f273,f684,f516]) ).
fof(f704,definition,
( spl0_81
<=> c0_1(a140) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f707,plain,
( spl0_48
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f269,f704,f526]) ).
fof(f709,definition,
( spl0_82
<=> c3_1(a144) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f711,plain,
( c3_1(a144)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,plain,
( ~ spl0_18
| spl0_82 ),
inference(avatar_split_clause,[],[f268,f709,f400]) ).
fof(f714,definition,
( spl0_83
<=> c0_1(a144) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f717,plain,
( ~ spl0_18
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f108,f714,f400]) ).
fof(f719,definition,
( spl0_84
<=> c3_1(a145) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f721,plain,
( c3_1(a145)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f722,plain,
( spl0_58
| spl0_84 ),
inference(avatar_split_clause,[],[f267,f719,f586]) ).
fof(f724,definition,
( spl0_85
<=> c1_1(a145) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f727,plain,
( spl0_58
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f266,f724,f586]) ).
fof(f729,definition,
( spl0_86
<=> c0_1(a145) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f732,plain,
( spl0_58
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f265,f729,f586]) ).
fof(f734,definition,
( spl0_87
<=> c2_1(a149) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f736,plain,
( ~ c2_1(a149)
| spl0_87 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f737,plain,
( spl0_52
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f264,f734,f545]) ).
fof(f739,definition,
( spl0_88
<=> c1_1(a149) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f742,plain,
( spl0_52
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f263,f739,f545]) ).
fof(f744,definition,
( spl0_89
<=> c2_1(a151) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f746,plain,
( ~ c2_1(a151)
| spl0_89 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f747,plain,
( ~ spl0_28
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f102,f744,f439]) ).
fof(f749,definition,
( spl0_90
<=> c3_1(a158) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f751,plain,
( c3_1(a158)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f752,plain,
( spl0_30
| spl0_90 ),
inference(avatar_split_clause,[],[f262,f749,f449]) ).
fof(f754,definition,
( spl0_91
<=> c2_1(a158) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f757,plain,
( spl0_30
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f261,f754,f449]) ).
fof(f759,definition,
( spl0_92
<=> c3_1(a159) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f761,plain,
( c3_1(a159)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f762,plain,
( ~ spl0_22
| spl0_92 ),
inference(avatar_split_clause,[],[f260,f759,f416]) ).
fof(f764,definition,
( spl0_93
<=> c2_1(a159) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f766,plain,
( ~ c2_1(a159)
| spl0_93 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f767,plain,
( ~ spl0_22
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f98,f764,f416]) ).
fof(f769,definition,
( spl0_94
<=> c2_1(a162) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f772,plain,
( spl0_33
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f259,f769,f462]) ).
fof(f784,definition,
( spl0_97
<=> c2_1(a170) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f787,plain,
( spl0_57
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f258,f784,f571]) ).
fof(f789,definition,
( spl0_98
<=> c0_1(a170) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f792,plain,
( spl0_57
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f257,f789,f571]) ).
fof(f799,definition,
( spl0_100
<=> c0_1(a181) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f802,plain,
( spl0_56
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f255,f799,f565]) ).
fof(f804,definition,
( spl0_101
<=> c3_1(a183) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f806,plain,
( c3_1(a183)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f807,plain,
( ~ spl0_50
| spl0_101 ),
inference(avatar_split_clause,[],[f254,f804,f536]) ).
fof(f809,definition,
( spl0_102
<=> c2_1(a183) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f811,plain,
( ~ c2_1(a183)
| spl0_102 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f812,plain,
( ~ spl0_50
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f89,f809,f536]) ).
fof(f814,definition,
( spl0_103
<=> c1_1(a183) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f817,plain,
( ~ spl0_50
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f88,f814,f536]) ).
fof(f819,definition,
( spl0_104
<=> c3_1(a192) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f821,plain,
( c3_1(a192)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f822,plain,
( spl0_51
| spl0_104 ),
inference(avatar_split_clause,[],[f253,f819,f540]) ).
fof(f824,definition,
( spl0_105
<=> c1_1(a192) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f827,plain,
( spl0_51
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f252,f824,f540]) ).
fof(f834,definition,
( spl0_107
<=> c0_1(a196) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f837,plain,
( ~ spl0_49
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f84,f834,f531]) ).
fof(f839,definition,
( spl0_108
<=> c3_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f841,plain,
( ~ c3_1(a124)
| spl0_108 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f842,plain,
( ~ spl0_108
| spl0_47 ),
inference(avatar_split_clause,[],[f251,f521,f839]) ).
fof(f844,definition,
( spl0_109
<=> c2_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f847,plain,
( spl0_109
| spl0_47 ),
inference(avatar_split_clause,[],[f250,f521,f844]) ).
fof(f849,definition,
( spl0_110
<=> c1_1(a125) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f852,plain,
( spl0_110
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f81,f382,f849]) ).
fof(f854,definition,
( spl0_111
<=> c0_1(a125) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f857,plain,
( spl0_111
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f80,f382,f854]) ).
fof(f859,definition,
( spl0_112
<=> c0_1(a126) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f862,plain,
( spl0_112
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f79,f491,f859]) ).
fof(f864,definition,
( spl0_113
<=> c2_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f866,plain,
( c2_1(a130)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f867,plain,
( spl0_113
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f78,f555,f864]) ).
fof(f869,definition,
( spl0_114
<=> c1_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f872,plain,
( spl0_114
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f77,f555,f869]) ).
fof(f874,definition,
( spl0_115
<=> c3_1(a131) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f876,plain,
( ~ c3_1(a131)
| spl0_115 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f877,plain,
( ~ spl0_115
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f249,f560,f874]) ).
fof(f879,definition,
( spl0_116
<=> c1_1(a131) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f882,plain,
( spl0_116
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f75,f560,f879]) ).
fof(f884,definition,
( spl0_117
<=> c1_1(a134) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f887,plain,
( spl0_117
| spl0_34 ),
inference(avatar_split_clause,[],[f248,f467,f884]) ).
fof(f889,definition,
( spl0_118
<=> c3_1(a135) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f891,plain,
( ~ c3_1(a135)
| spl0_118 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f892,plain,
( ~ spl0_118
| spl0_32 ),
inference(avatar_split_clause,[],[f247,f457,f889]) ).
fof(f894,definition,
( spl0_119
<=> c2_1(a135) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f897,plain,
( spl0_119
| spl0_32 ),
inference(avatar_split_clause,[],[f246,f457,f894]) ).
fof(f899,definition,
( spl0_120
<=> c2_1(a136) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f901,plain,
( c2_1(a136)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f902,plain,
( spl0_120
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f71,f516,f899]) ).
fof(f904,definition,
( spl0_121
<=> c0_1(a136) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f907,plain,
( spl0_121
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f70,f516,f904]) ).
fof(f924,definition,
( spl0_125
<=> c3_1(a140) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f926,plain,
( ~ c3_1(a140)
| spl0_125 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f927,plain,
( ~ spl0_125
| spl0_48 ),
inference(avatar_split_clause,[],[f242,f526,f924]) ).
fof(f929,definition,
( spl0_126
<=> c1_1(a140) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f932,plain,
( spl0_126
| spl0_48 ),
inference(avatar_split_clause,[],[f241,f526,f929]) ).
fof(f934,definition,
( spl0_127
<=> c2_1(a144) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f936,plain,
( c2_1(a144)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f937,plain,
( spl0_127
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f64,f400,f934]) ).
fof(f939,definition,
( spl0_128
<=> c3_1(a149) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f941,plain,
( ~ c3_1(a149)
| spl0_128 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f942,plain,
( ~ spl0_128
| spl0_52 ),
inference(avatar_split_clause,[],[f240,f545,f939]) ).
fof(f944,definition,
( spl0_129
<=> c1_1(a151) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f947,plain,
( spl0_129
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f62,f439,f944]) ).
fof(f949,definition,
( spl0_130
<=> c0_1(a151) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f952,plain,
( spl0_130
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f61,f439,f949]) ).
fof(f954,definition,
( spl0_131
<=> c1_1(a158) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f957,plain,
( spl0_131
| spl0_30 ),
inference(avatar_split_clause,[],[f239,f449,f954]) ).
fof(f959,definition,
( spl0_132
<=> c0_1(a159) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f962,plain,
( spl0_132
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f59,f416,f959]) ).
fof(f964,definition,
( spl0_133
<=> c3_1(a162) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f966,plain,
( ~ c3_1(a162)
| spl0_133 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f967,plain,
( ~ spl0_133
| spl0_33 ),
inference(avatar_split_clause,[],[f238,f462,f964]) ).
fof(f969,definition,
( spl0_134
<=> c0_1(a162) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f972,plain,
( spl0_134
| spl0_33 ),
inference(avatar_split_clause,[],[f237,f462,f969]) ).
fof(f979,definition,
( spl0_136
<=> c3_1(a170) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f981,plain,
( ~ c3_1(a170)
| spl0_136 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f982,plain,
( ~ spl0_136
| spl0_57 ),
inference(avatar_split_clause,[],[f236,f571,f979]) ).
fof(f994,definition,
( spl0_139
<=> c2_1(a181) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f996,plain,
( c2_1(a181)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f997,plain,
( spl0_139
| spl0_56 ),
inference(avatar_split_clause,[],[f233,f565,f994]) ).
fof(f999,definition,
( spl0_140
<=> c1_1(a181) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1002,plain,
( spl0_140
| spl0_56 ),
inference(avatar_split_clause,[],[f232,f565,f999]) ).
fof(f1004,definition,
( spl0_141
<=> c2_1(a192) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f1007,plain,
( spl0_141
| spl0_51 ),
inference(avatar_split_clause,[],[f231,f540,f1004]) ).
fof(f1009,definition,
( spl0_142
<=> c2_1(a196) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f1011,plain,
( c2_1(a196)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1012,plain,
( spl0_142
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f49,f531,f1009]) ).
fof(f1014,definition,
( spl0_143
<=> c3_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1016,plain,
( ~ c3_1(a137)
| spl0_143 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1017,plain,
( ~ spl0_143
| spl0_45 ),
inference(avatar_split_clause,[],[f230,f511,f1014]) ).
fof(f1019,definition,
( spl0_144
<=> c2_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f1022,plain,
( spl0_144
| spl0_45 ),
inference(avatar_split_clause,[],[f229,f511,f1019]) ).
fof(f1024,definition,
( spl0_145
<=> c1_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1027,plain,
( spl0_145
| spl0_45 ),
inference(avatar_split_clause,[],[f228,f511,f1024]) ).
fof(f1029,definition,
( spl0_146
<=> c3_1(a143) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1031,plain,
( ~ c3_1(a143)
| spl0_146 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1032,plain,
( ~ spl0_146
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f227,f444,f1029]) ).
fof(f1034,definition,
( spl0_147
<=> c2_1(a143) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1037,plain,
( spl0_147
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f44,f444,f1034]) ).
fof(f1039,definition,
( spl0_148
<=> c0_1(a143) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1042,plain,
( spl0_148
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f43,f444,f1039]) ).
fof(f1044,definition,
( spl0_149
<=> c3_1(a150) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1046,plain,
( ~ c3_1(a150)
| spl0_149 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1047,plain,
( ~ spl0_149
| spl0_36 ),
inference(avatar_split_clause,[],[f226,f475,f1044]) ).
fof(f1049,definition,
( spl0_150
<=> c1_1(a150) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1052,plain,
( spl0_150
| spl0_36 ),
inference(avatar_split_clause,[],[f225,f475,f1049]) ).
fof(f1054,definition,
( spl0_151
<=> c0_1(a150) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1057,plain,
( spl0_151
| spl0_36 ),
inference(avatar_split_clause,[],[f224,f475,f1054]) ).
fof(f1063,definition,
( spl0_153
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1079,plain,
( ~ spl0_37
| ~ spl0_57
| spl0_46 ),
inference(avatar_split_clause,[],[f218,f516,f571,f480]) ).
fof(f1080,plain,
( spl0_22
| ~ spl0_53
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f217,f1063,f549,f416]) ).
fof(f1091,plain,
( ~ spl0_3
| spl0_53 ),
inference(avatar_split_clause,[],[f206,f549,f346]) ).
fof(f1099,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f198,f416,f346]) ).
fof(f1111,plain,
( ~ spl0_3
| spl0_153 ),
inference(avatar_split_clause,[],[f186,f1063,f346]) ).
fof(f1146,plain,
( c2_1(a149)
| ~ c0_1(a149)
| ~ spl0_6
| spl0_128 ),
inference(resolution,[],[f358,f941]) ).
fof(f1163,definition,
( spl0_156
<=> c0_1(a183) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1168,definition,
( spl0_157
<=> c0_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1183,definition,
( spl0_160
<=> c0_1(a149) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1186,plain,
( ~ spl0_160
| spl0_87
| ~ spl0_6
| spl0_128 ),
inference(avatar_split_clause,[],[f1146,f939,f357,f734,f1183]) ).
fof(f1203,plain,
( ~ c0_1(a183)
| c1_1(a183)
| ~ spl0_5
| ~ spl0_101 ),
inference(resolution,[],[f806,f355]) ).
fof(f1215,plain,
( c2_1(a140)
| ~ c1_1(a140)
| ~ spl0_9
| spl0_125 ),
inference(resolution,[],[f368,f926]) ).
fof(f1228,definition,
( spl0_164
<=> c1_1(a128) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1238,definition,
( spl0_166
<=> c1_1(a136) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1243,definition,
( spl0_167
<=> c1_1(a144) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1248,definition,
( spl0_168
<=> c1_1(a159) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1268,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f379,f351]) ).
fof(f1270,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f1268]) ).
fof(f1271,plain,
( spl0_23
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1270,f378,f350,f420]) ).
fof(f1275,plain,
( ~ c0_1(a143)
| ~ c2_1(a143)
| ~ spl0_14
| spl0_146 ),
inference(resolution,[],[f387,f1031]) ).
fof(f1288,plain,
( ~ c0_1(a135)
| ~ c2_1(a135)
| ~ spl0_14
| spl0_118 ),
inference(resolution,[],[f387,f891]) ).
fof(f1299,definition,
( spl0_172
<=> c0_1(a135) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1302,plain,
( ~ spl0_119
| ~ spl0_172
| ~ spl0_14
| spl0_118 ),
inference(avatar_split_clause,[],[f1288,f889,f386,f1299,f894]) ).
fof(f1325,plain,
( c0_1(a183)
| c1_1(a183)
| ~ spl0_15
| spl0_102 ),
inference(resolution,[],[f391,f811]) ).
fof(f1326,plain,
( c0_1(a133)
| c1_1(a133)
| ~ spl0_15
| spl0_71 ),
inference(resolution,[],[f391,f656]) ).
fof(f1327,plain,
( c0_1(a128)
| c1_1(a128)
| ~ spl0_15
| spl0_67 ),
inference(resolution,[],[f391,f636]) ).
fof(f1364,plain,
( ~ c2_1(a130)
| c0_1(a130)
| ~ spl0_12
| ~ spl0_69 ),
inference(resolution,[],[f646,f379]) ).
fof(f1365,plain,
( spl0_157
| ~ spl0_113
| ~ spl0_12
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1364,f644,f378,f864,f1168]) ).
fof(f1393,plain,
( c2_1(a162)
| ~ c0_1(a162)
| ~ spl0_6
| spl0_133 ),
inference(resolution,[],[f358,f966]) ).
fof(f1409,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f372,f358]) ).
fof(f1418,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_6
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f1409]) ).
fof(f1447,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f405,f358]) ).
fof(f1448,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_14
| ~ spl0_19 ),
inference(resolution,[],[f405,f387]) ).
fof(f1449,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_9
| ~ spl0_19 ),
inference(resolution,[],[f405,f368]) ).
fof(f1450,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f405,f351]) ).
fof(f1451,plain,
( ~ c0_1(a159)
| ~ c1_1(a159)
| ~ spl0_19
| ~ spl0_92 ),
inference(resolution,[],[f405,f761]) ).
fof(f1454,plain,
( ~ c0_1(a130)
| ~ c1_1(a130)
| ~ spl0_19
| ~ spl0_69 ),
inference(resolution,[],[f405,f646]) ).
fof(f1455,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1450]) ).
fof(f1456,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) )
| ~ spl0_9
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1449]) ).
fof(f1457,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_14
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1448]) ).
fof(f1458,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) )
| ~ spl0_6
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1447]) ).
fof(f1460,plain,
( ~ spl0_114
| ~ spl0_157
| ~ spl0_19
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1454,f644,f404,f1168,f869]) ).
fof(f1462,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1456,f404,f367,f343]) ).
fof(f1463,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1458,f404,f357,f343]) ).
fof(f1465,definition,
( spl0_174
<=> c2_1(a140) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f1466,plain,
( c2_1(a140)
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1478,plain,
( ~ c2_1(a144)
| c0_1(a144)
| ~ spl0_12
| ~ spl0_82 ),
inference(resolution,[],[f711,f379]) ).
fof(f1479,plain,
( spl0_83
| ~ spl0_127
| ~ spl0_12
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1478,f709,f378,f934,f714]) ).
fof(f1495,plain,
( ~ c0_1(a159)
| c1_1(a159)
| ~ spl0_5
| ~ spl0_92 ),
inference(resolution,[],[f355,f761]) ).
fof(f1502,plain,
( spl0_168
| ~ spl0_132
| ~ spl0_5
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1495,f759,f354,f959,f1248]) ).
fof(f1531,plain,
( ~ c0_1(a130)
| ~ c1_1(a130)
| ~ spl0_20
| ~ spl0_113 ),
inference(resolution,[],[f408,f866]) ).
fof(f1534,plain,
( c0_1(a140)
| ~ c1_1(a140)
| ~ spl0_23
| ~ spl0_174 ),
inference(resolution,[],[f421,f1466]) ).
fof(f1536,plain,
( c0_1(a130)
| ~ c1_1(a130)
| ~ spl0_23
| ~ spl0_113 ),
inference(resolution,[],[f421,f866]) ).
fof(f1539,plain,
( ~ spl0_126
| spl0_81
| ~ spl0_23
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f1534,f1465,f420,f704,f929]) ).
fof(f1565,plain,
( ~ c0_1(a159)
| c1_1(a159)
| ~ spl0_25
| spl0_93 ),
inference(resolution,[],[f428,f766]) ).
fof(f1568,plain,
( ~ c0_1(a149)
| c1_1(a149)
| ~ spl0_25
| spl0_87 ),
inference(resolution,[],[f428,f736]) ).
fof(f1574,plain,
( ~ c0_1(a126)
| c1_1(a126)
| ~ spl0_25
| spl0_64 ),
inference(resolution,[],[f428,f621]) ).
fof(f1575,plain,
( ~ c0_1(a183)
| c1_1(a183)
| ~ spl0_25
| spl0_102 ),
inference(resolution,[],[f428,f811]) ).
fof(f1586,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_17
| ~ spl0_31 ),
inference(resolution,[],[f454,f397]) ).
fof(f1590,plain,
( ~ c0_1(a159)
| c2_1(a159)
| ~ spl0_31
| ~ spl0_92 ),
inference(resolution,[],[f454,f761]) ).
fof(f1598,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_17
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f1586]) ).
fof(f1600,definition,
( spl0_175
<=> c2_1(a125) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f1601,plain,
( ~ c2_1(a125)
| spl0_175 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f1602,plain,
( c2_1(a125)
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f1605,plain,
( spl0_93
| ~ spl0_132
| ~ spl0_31
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1590,f759,f453,f959,f764]) ).
fof(f1611,plain,
( ~ c0_1(a150)
| ~ c1_1(a150)
| ~ spl0_35
| spl0_149 ),
inference(resolution,[],[f472,f1046]) ).
fof(f1640,plain,
( c1_1(a149)
| c0_1(a149)
| ~ spl0_41
| spl0_128 ),
inference(resolution,[],[f496,f941]) ).
fof(f1662,plain,
( spl0_160
| spl0_88
| ~ spl0_41
| spl0_128 ),
inference(avatar_split_clause,[],[f1640,f939,f495,f739,f1183]) ).
fof(f1679,plain,
( ~ spl0_134
| spl0_94
| ~ spl0_6
| spl0_133 ),
inference(avatar_split_clause,[],[f1393,f964,f357,f769,f969]) ).
fof(f1688,definition,
( spl0_177
<=> c2_1(a145) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
fof(f1689,plain,
( ~ c2_1(a145)
| spl0_177 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f1694,definition,
( spl0_178
<=> c2_1(a134) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f1696,plain,
( c2_1(a134)
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f1722,plain,
( ~ spl0_168
| ~ spl0_132
| ~ spl0_19
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1451,f759,f404,f959,f1248]) ).
fof(f1730,plain,
( c2_1(a131)
| ~ c1_1(a131)
| ~ spl0_9
| spl0_115 ),
inference(resolution,[],[f876,f368]) ).
fof(f1760,plain,
( ~ c0_1(a159)
| ~ c1_1(a159)
| ~ spl0_2
| spl0_93 ),
inference(resolution,[],[f344,f766]) ).
fof(f1761,plain,
( ~ c0_1(a151)
| ~ c1_1(a151)
| ~ spl0_2
| spl0_89 ),
inference(resolution,[],[f344,f746]) ).
fof(f1767,plain,
( ~ c0_1(a125)
| ~ c1_1(a125)
| ~ spl0_2
| spl0_175 ),
inference(resolution,[],[f344,f1601]) ).
fof(f1770,plain,
( ~ spl0_110
| ~ spl0_111
| ~ spl0_2
| spl0_175 ),
inference(avatar_split_clause,[],[f1767,f1600,f343,f854,f849]) ).
fof(f1781,plain,
( spl0_72
| spl0_73
| ~ spl0_15
| spl0_71 ),
inference(avatar_split_clause,[],[f1326,f654,f390,f664,f659]) ).
fof(f1783,plain,
( spl0_103
| ~ spl0_156
| ~ spl0_5
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1203,f804,f354,f1163,f814]) ).
fof(f1802,plain,
( ~ spl0_114
| spl0_157
| ~ spl0_23
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1536,f864,f420,f1168,f869]) ).
fof(f1806,plain,
( ~ spl0_150
| ~ spl0_151
| ~ spl0_35
| spl0_149 ),
inference(avatar_split_clause,[],[f1611,f1044,f471,f1054,f1049]) ).
fof(f1826,plain,
( ~ c2_1(a192)
| c1_1(a192)
| ~ spl0_1
| ~ spl0_104 ),
inference(resolution,[],[f341,f821]) ).
fof(f1829,plain,
( ~ c2_1(a136)
| c1_1(a136)
| ~ spl0_1
| ~ spl0_77 ),
inference(resolution,[],[f341,f686]) ).
fof(f1852,plain,
( c0_1(a124)
| ~ c2_1(a124)
| ~ spl0_7
| spl0_108 ),
inference(resolution,[],[f362,f841]) ).
fof(f1866,plain,
( c2_1(a149)
| c1_1(a149)
| ~ spl0_8
| spl0_128 ),
inference(resolution,[],[f365,f941]) ).
fof(f1881,plain,
( ~ c1_1(a158)
| c2_1(a158)
| ~ spl0_10
| ~ spl0_90 ),
inference(resolution,[],[f372,f751]) ).
fof(f1884,plain,
( ~ c1_1(a134)
| c2_1(a134)
| ~ spl0_10
| ~ spl0_74 ),
inference(resolution,[],[f372,f671]) ).
fof(f1891,plain,
( spl0_178
| ~ spl0_117
| ~ spl0_10
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1884,f669,f371,f884,f1694]) ).
fof(f1892,plain,
( spl0_91
| ~ spl0_131
| ~ spl0_10
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1881,f749,f371,f954,f754]) ).
fof(f1893,plain,
( spl0_166
| ~ spl0_120
| ~ spl0_1
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1829,f684,f340,f899,f1238]) ).
fof(f1896,plain,
( ~ c1_1(a128)
| c2_1(a128)
| ~ spl0_10
| ~ spl0_66 ),
inference(resolution,[],[f631,f372]) ).
fof(f1898,plain,
( spl0_67
| ~ spl0_164
| ~ spl0_10
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1896,f629,f371,f1228,f634]) ).
fof(f1915,plain,
( ~ c2_1(a144)
| c1_1(a144)
| ~ spl0_1
| ~ spl0_82 ),
inference(resolution,[],[f341,f711]) ).
fof(f1934,plain,
( c1_1(a128)
| c2_1(a128)
| ~ spl0_11
| ~ spl0_66 ),
inference(resolution,[],[f376,f631]) ).
fof(f1938,plain,
( spl0_67
| spl0_164
| ~ spl0_11
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1934,f629,f375,f1228,f634]) ).
fof(f1954,plain,
( ~ c1_1(a137)
| ~ c2_1(a137)
| ~ spl0_4
| spl0_143 ),
inference(resolution,[],[f351,f1016]) ).
fof(f1959,plain,
( ~ c1_1(a140)
| ~ c2_1(a140)
| ~ spl0_4
| spl0_125 ),
inference(resolution,[],[f351,f926]) ).
fof(f1970,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_8
| ~ spl0_16 ),
inference(resolution,[],[f394,f365]) ).
fof(f1971,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) )
| ~ spl0_16
| ~ spl0_41 ),
inference(resolution,[],[f394,f496]) ).
fof(f1981,plain,
( c0_1(a128)
| c2_1(a128)
| ~ spl0_16
| ~ spl0_66 ),
inference(resolution,[],[f394,f631]) ).
fof(f1983,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_16
| ~ spl0_41 ),
inference(duplicate_literal_removal,[],[f1971]) ).
fof(f1984,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_8
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f1970]) ).
fof(f1986,plain,
( spl0_15
| ~ spl0_16
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1983,f495,f393,f390]) ).
fof(f1987,plain,
( spl0_15
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1984,f393,f364,f390]) ).
fof(f2016,plain,
( ~ c2_1(a145)
| c1_1(a145)
| ~ spl0_1
| ~ spl0_84 ),
inference(resolution,[],[f721,f341]) ).
fof(f2076,plain,
( c0_1(a181)
| ~ c1_1(a181)
| ~ spl0_23
| ~ spl0_139 ),
inference(resolution,[],[f421,f996]) ).
fof(f2082,plain,
( c0_1(a144)
| ~ c1_1(a144)
| ~ spl0_23
| ~ spl0_127 ),
inference(resolution,[],[f421,f936]) ).
fof(f2085,plain,
( c0_1(a134)
| ~ c1_1(a134)
| ~ spl0_23
| ~ spl0_178 ),
inference(resolution,[],[f421,f1696]) ).
fof(f2092,plain,
( ~ spl0_117
| spl0_75
| ~ spl0_23
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2085,f1694,f420,f674,f884]) ).
fof(f2096,plain,
( spl0_105
| ~ spl0_141
| ~ spl0_1
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1826,f819,f340,f1004,f824]) ).
fof(f2099,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1418,f371,f357,f343]) ).
fof(f2136,plain,
( ~ spl0_126
| spl0_174
| ~ spl0_9
| spl0_125 ),
inference(avatar_split_clause,[],[f1215,f924,f367,f1465,f929]) ).
fof(f2173,plain,
( c1_1(a183)
| c2_1(a183)
| ~ spl0_11
| ~ spl0_101 ),
inference(resolution,[],[f376,f806]) ).
fof(f2178,plain,
( spl0_102
| spl0_103
| ~ spl0_11
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f2173,f804,f375,f814,f809]) ).
fof(f2182,plain,
( ~ spl0_174
| ~ spl0_126
| ~ spl0_4
| spl0_125 ),
inference(avatar_split_clause,[],[f1959,f924,f350,f929,f1465]) ).
fof(f2185,plain,
( spl0_88
| spl0_87
| ~ spl0_8
| spl0_128 ),
inference(avatar_split_clause,[],[f1866,f939,f364,f734,f739]) ).
fof(f2190,plain,
( ~ spl0_114
| ~ spl0_157
| ~ spl0_20
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1531,f864,f407,f1168,f869]) ).
fof(f2205,plain,
( ~ spl0_167
| spl0_83
| ~ spl0_23
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2082,f934,f420,f714,f1243]) ).
fof(f2243,plain,
( c0_1(a135)
| ~ c2_1(a135)
| ~ spl0_7
| spl0_118 ),
inference(resolution,[],[f362,f891]) ).
fof(f2257,plain,
( spl0_167
| ~ spl0_127
| ~ spl0_1
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1915,f709,f340,f934,f1243]) ).
fof(f2270,plain,
( ~ c0_1(a136)
| ~ c1_1(a136)
| ~ spl0_20
| ~ spl0_120 ),
inference(resolution,[],[f408,f901]) ).
fof(f2271,plain,
( ~ c0_1(a125)
| ~ c1_1(a125)
| ~ spl0_20
| ~ spl0_175 ),
inference(resolution,[],[f408,f1602]) ).
fof(f2272,plain,
( ~ spl0_110
| ~ spl0_111
| ~ spl0_20
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f2271,f1600,f407,f854,f849]) ).
fof(f2273,plain,
( ~ spl0_166
| ~ spl0_121
| ~ spl0_20
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2270,f899,f407,f904,f1238]) ).
fof(f2276,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f379,f362]) ).
fof(f2299,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0) )
| ~ spl0_7
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f2276]) ).
fof(f2301,plain,
( c0_1(a196)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_142 ),
inference(resolution,[],[f2299,f1011]) ).
fof(f2304,plain,
( spl0_107
| ~ spl0_7
| ~ spl0_12
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2301,f1009,f378,f361,f834]) ).
fof(f2326,plain,
( c0_1(a183)
| c1_1(a183)
| ~ spl0_24
| ~ spl0_101 ),
inference(resolution,[],[f425,f806]) ).
fof(f2327,plain,
( c0_1(a145)
| c1_1(a145)
| ~ spl0_24
| ~ spl0_84 ),
inference(resolution,[],[f425,f721]) ).
fof(f2331,plain,
( spl0_103
| spl0_156
| ~ spl0_24
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f2326,f804,f424,f1163,f814]) ).
fof(f2373,plain,
( ~ c1_1(a128)
| c0_1(a128)
| ~ spl0_38
| ~ spl0_66 ),
inference(resolution,[],[f485,f631]) ).
fof(f2395,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_24
| ~ spl0_44 ),
inference(resolution,[],[f508,f425]) ).
fof(f2398,plain,
( c2_1(a170)
| c0_1(a170)
| ~ spl0_44
| spl0_136 ),
inference(resolution,[],[f508,f981]) ).
fof(f2399,plain,
( c2_1(a149)
| c0_1(a149)
| ~ spl0_44
| spl0_128 ),
inference(resolution,[],[f508,f941]) ).
fof(f2400,plain,
( c2_1(a140)
| c0_1(a140)
| ~ spl0_44
| spl0_125 ),
inference(resolution,[],[f508,f926]) ).
fof(f2405,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_24
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f2395]) ).
fof(f2410,plain,
( spl0_160
| spl0_87
| ~ spl0_44
| spl0_128 ),
inference(avatar_split_clause,[],[f2399,f939,f507,f734,f1183]) ).
fof(f2411,plain,
( spl0_98
| spl0_97
| ~ spl0_44
| spl0_136 ),
inference(avatar_split_clause,[],[f2398,f979,f507,f784,f789]) ).
fof(f2412,plain,
( spl0_15
| ~ spl0_24
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f2405,f507,f424,f390]) ).
fof(f2413,plain,
( spl0_67
| spl0_68
| ~ spl0_16
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1981,f629,f393,f639,f634]) ).
fof(f2417,plain,
( ~ spl0_147
| ~ spl0_148
| ~ spl0_14
| spl0_146 ),
inference(avatar_split_clause,[],[f1275,f1029,f386,f1039,f1034]) ).
fof(f2423,plain,
( spl0_85
| spl0_86
| ~ spl0_24
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f2327,f719,f424,f729,f724]) ).
fof(f2424,plain,
( ~ spl0_168
| ~ spl0_132
| ~ spl0_2
| spl0_93 ),
inference(avatar_split_clause,[],[f1760,f764,f343,f959,f1248]) ).
fof(f2425,plain,
( ~ spl0_129
| ~ spl0_130
| ~ spl0_2
| spl0_89 ),
inference(avatar_split_clause,[],[f1761,f744,f343,f949,f944]) ).
fof(f2435,plain,
( spl0_168
| ~ spl0_132
| ~ spl0_25
| spl0_93 ),
inference(avatar_split_clause,[],[f1565,f764,f427,f959,f1248]) ).
fof(f2436,plain,
( spl0_88
| ~ spl0_160
| ~ spl0_25
| spl0_87 ),
inference(avatar_split_clause,[],[f1568,f734,f427,f1183,f739]) ).
fof(f2439,plain,
( spl0_65
| ~ spl0_112
| ~ spl0_25
| spl0_64 ),
inference(avatar_split_clause,[],[f1574,f619,f427,f859,f624]) ).
fof(f2440,plain,
( spl0_103
| ~ spl0_156
| ~ spl0_25
| spl0_102 ),
inference(avatar_split_clause,[],[f1575,f809,f427,f1163,f814]) ).
fof(f2442,plain,
( spl0_68
| ~ spl0_164
| ~ spl0_38
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f2373,f629,f484,f1228,f639]) ).
fof(f2445,plain,
( spl0_81
| spl0_174
| ~ spl0_44
| spl0_125 ),
inference(avatar_split_clause,[],[f2400,f924,f507,f1465,f704]) ).
fof(f2448,plain,
( ~ spl0_140
| spl0_100
| ~ spl0_23
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2076,f994,f420,f799,f999]) ).
fof(f2452,plain,
( ~ spl0_116
| spl0_70
| ~ spl0_9
| spl0_115 ),
inference(avatar_split_clause,[],[f1730,f874,f367,f649,f879]) ).
fof(f2453,plain,
( spl0_20
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1457,f404,f386,f407]) ).
fof(f2454,plain,
( spl0_103
| spl0_156
| ~ spl0_15
| spl0_102 ),
inference(avatar_split_clause,[],[f1325,f809,f390,f1163,f814]) ).
fof(f2455,plain,
( spl0_164
| spl0_68
| ~ spl0_15
| spl0_67 ),
inference(avatar_split_clause,[],[f1327,f634,f390,f639,f1228]) ).
fof(f2456,plain,
( spl0_25
| ~ spl0_17
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1598,f453,f396,f427]) ).
fof(f2466,plain,
( spl0_20
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1455,f404,f350,f407]) ).
fof(f2471,plain,
( ~ spl0_109
| spl0_62
| ~ spl0_7
| spl0_108 ),
inference(avatar_split_clause,[],[f1852,f839,f361,f609,f844]) ).
fof(f2472,plain,
( ~ spl0_119
| spl0_172
| ~ spl0_7
| spl0_118 ),
inference(avatar_split_clause,[],[f2243,f889,f361,f1299,f894]) ).
fof(f2480,plain,
( ~ spl0_144
| ~ spl0_145
| ~ spl0_4
| spl0_143 ),
inference(avatar_split_clause,[],[f1954,f1014,f350,f1024,f1019]) ).
fof(f2550,plain,
( c0_1(a145)
| c1_1(a145)
| ~ spl0_15
| spl0_177 ),
inference(resolution,[],[f391,f1689]) ).
fof(f2552,plain,
( spl0_85
| spl0_86
| ~ spl0_15
| spl0_177 ),
inference(avatar_split_clause,[],[f2550,f1688,f390,f729,f724]) ).
fof(f2553,plain,
( spl0_85
| ~ spl0_177
| ~ spl0_1
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f2016,f719,f340,f1688,f724]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f352]) ).
cnf(s2,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f359]) ).
cnf(s3,plain,
( spl0_3
| spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f369]) ).
cnf(s4,plain,
( spl0_1
| spl0_3
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f373]) ).
cnf(s5,plain,
( spl0_3
| spl0_4
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f380]) ).
cnf(s8,plain,
( spl0_3
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f409]) ).
cnf(s10,plain,
( spl0_3
| spl0_14
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f422]) ).
cnf(s11,plain,
( spl0_3
| spl0_15
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f429]) ).
cnf(s13,plain,
( spl0_3
| spl0_14
| spl0_25
| spl0_28 ),
inference(sat_conversion,[],[f442]) ).
cnf(s15,plain,
( spl0_3
| spl0_6
| ~ spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f455]) ).
cnf(s16,plain,
( spl0_1
| spl0_3
| spl0_6
| ~ spl0_32 ),
inference(sat_conversion,[],[f460]) ).
cnf(s19,plain,
( spl0_3
| spl0_12
| spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f478]) ).
cnf(s22,plain,
( spl0_3
| spl0_10
| spl0_12
| spl0_28 ),
inference(sat_conversion,[],[f501]) ).
cnf(s23,plain,
( spl0_1
| spl0_3
| spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f509]) ).
cnf(s24,plain,
( spl0_3
| spl0_16
| spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f514]) ).
cnf(s25,plain,
( spl0_3
| spl0_16
| spl0_44
| spl0_46 ),
inference(sat_conversion,[],[f519]) ).
cnf(s26,plain,
( spl0_3
| spl0_24
| spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f524]) ).
cnf(s27,plain,
( spl0_3
| spl0_4
| spl0_22
| ~ spl0_48 ),
inference(sat_conversion,[],[f529]) ).
cnf(s28,plain,
( spl0_3
| spl0_14
| ~ spl0_45
| spl0_49 ),
inference(sat_conversion,[],[f534]) ).
cnf(s29,plain,
( spl0_3
| spl0_35
| spl0_50
| ~ spl0_51 ),
inference(sat_conversion,[],[f543]) ).
cnf(s31,plain,
( spl0_3
| spl0_18
| spl0_20
| ~ spl0_33 ),
inference(sat_conversion,[],[f553]) ).
cnf(s32,plain,
( spl0_3
| spl0_9
| spl0_50
| spl0_54 ),
inference(sat_conversion,[],[f558]) ).
cnf(s34,plain,
( spl0_3
| spl0_6
| spl0_28
| ~ spl0_56 ),
inference(sat_conversion,[],[f568]) ).
cnf(s36,plain,
( spl0_3
| spl0_17
| spl0_28
| ~ spl0_57 ),
inference(sat_conversion,[],[f574]) ).
cnf(s37,plain,
( spl0_3
| spl0_19
| ~ spl0_48 ),
inference(sat_conversion,[],[f575]) ).
cnf(s38,plain,
( spl0_2
| spl0_3
| ~ spl0_52 ),
inference(sat_conversion,[],[f576]) ).
cnf(s39,plain,
( spl0_3
| spl0_10
| spl0_22
| ~ spl0_57 ),
inference(sat_conversion,[],[f577]) ).
cnf(s40,plain,
( spl0_3
| spl0_13
| spl0_31
| spl0_43 ),
inference(sat_conversion,[],[f578]) ).
cnf(s41,plain,
( spl0_1
| spl0_3
| spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f579]) ).
cnf(s42,plain,
( spl0_3
| spl0_5
| spl0_54
| spl0_55 ),
inference(sat_conversion,[],[f580]) ).
cnf(s43,plain,
( spl0_3
| spl0_12
| ~ spl0_30
| ~ spl0_34 ),
inference(sat_conversion,[],[f581]) ).
cnf(s45,plain,
( spl0_3
| spl0_12
| ~ spl0_36
| spl0_43 ),
inference(sat_conversion,[],[f583]) ).
cnf(s46,plain,
( spl0_3
| spl0_38
| ~ spl0_45
| ~ spl0_52 ),
inference(sat_conversion,[],[f584]) ).
cnf(s47,plain,
( spl0_3
| spl0_43
| spl0_44
| ~ spl0_58 ),
inference(sat_conversion,[],[f589]) ).
cnf(s48,plain,
( spl0_3
| spl0_18
| spl0_29
| spl0_44 ),
inference(sat_conversion,[],[f590]) ).
cnf(s53,plain,
( spl0_3
| spl0_41
| spl0_54
| spl0_55 ),
inference(sat_conversion,[],[f602]) ).
cnf(s55,plain,
( spl0_3
| spl0_13
| spl0_24
| spl0_40 ),
inference(sat_conversion,[],[f607]) ).
cnf(s56,plain,
( spl0_47
| ~ spl0_62 ),
inference(sat_conversion,[],[f612]) ).
cnf(s58,plain,
( ~ spl0_40
| ~ spl0_64 ),
inference(sat_conversion,[],[f622]) ).
cnf(s59,plain,
( ~ spl0_40
| ~ spl0_65 ),
inference(sat_conversion,[],[f627]) ).
cnf(s60,plain,
( ~ spl0_43
| spl0_66 ),
inference(sat_conversion,[],[f632]) ).
cnf(s61,plain,
( ~ spl0_43
| ~ spl0_67 ),
inference(sat_conversion,[],[f637]) ).
cnf(s62,plain,
( ~ spl0_43
| ~ spl0_68 ),
inference(sat_conversion,[],[f642]) ).
cnf(s63,plain,
( ~ spl0_54
| spl0_69 ),
inference(sat_conversion,[],[f647]) ).
cnf(s64,plain,
( ~ spl0_55
| ~ spl0_70 ),
inference(sat_conversion,[],[f652]) ).
cnf(s65,plain,
( spl0_37
| ~ spl0_71 ),
inference(sat_conversion,[],[f657]) ).
cnf(s66,plain,
( spl0_37
| ~ spl0_72 ),
inference(sat_conversion,[],[f662]) ).
cnf(s67,plain,
( spl0_37
| ~ spl0_73 ),
inference(sat_conversion,[],[f667]) ).
cnf(s68,plain,
( spl0_34
| spl0_74 ),
inference(sat_conversion,[],[f672]) ).
cnf(s69,plain,
( spl0_34
| ~ spl0_75 ),
inference(sat_conversion,[],[f677]) ).
cnf(s71,plain,
( ~ spl0_46
| spl0_77 ),
inference(sat_conversion,[],[f687]) ).
cnf(s75,plain,
( spl0_48
| ~ spl0_81 ),
inference(sat_conversion,[],[f707]) ).
cnf(s76,plain,
( ~ spl0_18
| spl0_82 ),
inference(sat_conversion,[],[f712]) ).
cnf(s77,plain,
( ~ spl0_18
| ~ spl0_83 ),
inference(sat_conversion,[],[f717]) ).
cnf(s78,plain,
( spl0_58
| spl0_84 ),
inference(sat_conversion,[],[f722]) ).
cnf(s79,plain,
( spl0_58
| ~ spl0_85 ),
inference(sat_conversion,[],[f727]) ).
cnf(s80,plain,
( spl0_58
| ~ spl0_86 ),
inference(sat_conversion,[],[f732]) ).
cnf(s81,plain,
( spl0_52
| ~ spl0_87 ),
inference(sat_conversion,[],[f737]) ).
cnf(s82,plain,
( spl0_52
| ~ spl0_88 ),
inference(sat_conversion,[],[f742]) ).
cnf(s83,plain,
( ~ spl0_28
| ~ spl0_89 ),
inference(sat_conversion,[],[f747]) ).
cnf(s84,plain,
( spl0_30
| spl0_90 ),
inference(sat_conversion,[],[f752]) ).
cnf(s85,plain,
( spl0_30
| ~ spl0_91 ),
inference(sat_conversion,[],[f757]) ).
cnf(s86,plain,
( ~ spl0_22
| spl0_92 ),
inference(sat_conversion,[],[f762]) ).
cnf(s87,plain,
( ~ spl0_22
| ~ spl0_93 ),
inference(sat_conversion,[],[f767]) ).
cnf(s88,plain,
( spl0_33
| ~ spl0_94 ),
inference(sat_conversion,[],[f772]) ).
cnf(s91,plain,
( spl0_57
| ~ spl0_97 ),
inference(sat_conversion,[],[f787]) ).
cnf(s92,plain,
( spl0_57
| ~ spl0_98 ),
inference(sat_conversion,[],[f792]) ).
cnf(s94,plain,
( spl0_56
| ~ spl0_100 ),
inference(sat_conversion,[],[f802]) ).
cnf(s95,plain,
( ~ spl0_50
| spl0_101 ),
inference(sat_conversion,[],[f807]) ).
cnf(s96,plain,
( ~ spl0_50
| ~ spl0_102 ),
inference(sat_conversion,[],[f812]) ).
cnf(s97,plain,
( ~ spl0_50
| ~ spl0_103 ),
inference(sat_conversion,[],[f817]) ).
cnf(s98,plain,
( spl0_51
| spl0_104 ),
inference(sat_conversion,[],[f822]) ).
cnf(s99,plain,
( spl0_51
| ~ spl0_105 ),
inference(sat_conversion,[],[f827]) ).
cnf(s101,plain,
( ~ spl0_49
| ~ spl0_107 ),
inference(sat_conversion,[],[f837]) ).
cnf(s102,plain,
( spl0_47
| ~ spl0_108 ),
inference(sat_conversion,[],[f842]) ).
cnf(s103,plain,
( spl0_47
| spl0_109 ),
inference(sat_conversion,[],[f847]) ).
cnf(s104,plain,
( ~ spl0_13
| spl0_110 ),
inference(sat_conversion,[],[f852]) ).
cnf(s105,plain,
( ~ spl0_13
| spl0_111 ),
inference(sat_conversion,[],[f857]) ).
cnf(s106,plain,
( ~ spl0_40
| spl0_112 ),
inference(sat_conversion,[],[f862]) ).
cnf(s107,plain,
( ~ spl0_54
| spl0_113 ),
inference(sat_conversion,[],[f867]) ).
cnf(s108,plain,
( ~ spl0_54
| spl0_114 ),
inference(sat_conversion,[],[f872]) ).
cnf(s109,plain,
( ~ spl0_55
| ~ spl0_115 ),
inference(sat_conversion,[],[f877]) ).
cnf(s110,plain,
( ~ spl0_55
| spl0_116 ),
inference(sat_conversion,[],[f882]) ).
cnf(s111,plain,
( spl0_34
| spl0_117 ),
inference(sat_conversion,[],[f887]) ).
cnf(s112,plain,
( spl0_32
| ~ spl0_118 ),
inference(sat_conversion,[],[f892]) ).
cnf(s113,plain,
( spl0_32
| spl0_119 ),
inference(sat_conversion,[],[f897]) ).
cnf(s114,plain,
( ~ spl0_46
| spl0_120 ),
inference(sat_conversion,[],[f902]) ).
cnf(s115,plain,
( ~ spl0_46
| spl0_121 ),
inference(sat_conversion,[],[f907]) ).
cnf(s119,plain,
( spl0_48
| ~ spl0_125 ),
inference(sat_conversion,[],[f927]) ).
cnf(s120,plain,
( spl0_48
| spl0_126 ),
inference(sat_conversion,[],[f932]) ).
cnf(s121,plain,
( ~ spl0_18
| spl0_127 ),
inference(sat_conversion,[],[f937]) ).
cnf(s122,plain,
( spl0_52
| ~ spl0_128 ),
inference(sat_conversion,[],[f942]) ).
cnf(s123,plain,
( ~ spl0_28
| spl0_129 ),
inference(sat_conversion,[],[f947]) ).
cnf(s124,plain,
( ~ spl0_28
| spl0_130 ),
inference(sat_conversion,[],[f952]) ).
cnf(s125,plain,
( spl0_30
| spl0_131 ),
inference(sat_conversion,[],[f957]) ).
cnf(s126,plain,
( ~ spl0_22
| spl0_132 ),
inference(sat_conversion,[],[f962]) ).
cnf(s127,plain,
( spl0_33
| ~ spl0_133 ),
inference(sat_conversion,[],[f967]) ).
cnf(s128,plain,
( spl0_33
| spl0_134 ),
inference(sat_conversion,[],[f972]) ).
cnf(s130,plain,
( spl0_57
| ~ spl0_136 ),
inference(sat_conversion,[],[f982]) ).
cnf(s133,plain,
( spl0_56
| spl0_139 ),
inference(sat_conversion,[],[f997]) ).
cnf(s134,plain,
( spl0_56
| spl0_140 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s135,plain,
( spl0_51
| spl0_141 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s136,plain,
( ~ spl0_49
| spl0_142 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s137,plain,
( spl0_45
| ~ spl0_143 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s138,plain,
( spl0_45
| spl0_144 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s139,plain,
( spl0_45
| spl0_145 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s140,plain,
( ~ spl0_29
| ~ spl0_146 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s141,plain,
( ~ spl0_29
| spl0_147 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s142,plain,
( ~ spl0_29
| spl0_148 ),
inference(sat_conversion,[],[f1042]) ).
cnf(s143,plain,
( spl0_36
| ~ spl0_149 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s144,plain,
( spl0_36
| spl0_150 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s145,plain,
( spl0_36
| spl0_151 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s151,plain,
( ~ spl0_37
| spl0_46
| ~ spl0_57 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s152,plain,
( spl0_22
| ~ spl0_53
| ~ spl0_153 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s163,plain,
( ~ spl0_3
| spl0_53 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s171,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s183,plain,
( ~ spl0_3
| spl0_153 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s189,plain,
( ~ spl0_6
| spl0_87
| spl0_128
| ~ spl0_160 ),
inference(sat_conversion,[],[f1186]) ).
cnf(s202,plain,
( ~ spl0_4
| ~ spl0_12
| spl0_23 ),
inference(sat_conversion,[],[f1271]) ).
cnf(s203,plain,
( ~ spl0_14
| spl0_118
| ~ spl0_119
| ~ spl0_172 ),
inference(sat_conversion,[],[f1302]) ).
cnf(s233,plain,
( ~ spl0_12
| ~ spl0_69
| ~ spl0_113
| spl0_157 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s237,plain,
( ~ spl0_19
| ~ spl0_69
| ~ spl0_114
| ~ spl0_157 ),
inference(sat_conversion,[],[f1460]) ).
cnf(s239,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_19 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s240,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f1463]) ).
cnf(s245,plain,
( ~ spl0_12
| ~ spl0_82
| spl0_83
| ~ spl0_127 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s253,plain,
( ~ spl0_5
| ~ spl0_92
| ~ spl0_132
| spl0_168 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s255,plain,
( ~ spl0_23
| spl0_81
| ~ spl0_126
| ~ spl0_174 ),
inference(sat_conversion,[],[f1539]) ).
cnf(s261,plain,
( ~ spl0_31
| ~ spl0_92
| spl0_93
| ~ spl0_132 ),
inference(sat_conversion,[],[f1605]) ).
cnf(s271,plain,
( ~ spl0_41
| spl0_88
| spl0_128
| spl0_160 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s284,plain,
( ~ spl0_6
| spl0_94
| spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f1679]) ).
cnf(s306,plain,
( ~ spl0_19
| ~ spl0_92
| ~ spl0_132
| ~ spl0_168 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s310,plain,
( ~ spl0_2
| ~ spl0_110
| ~ spl0_111
| spl0_175 ),
inference(sat_conversion,[],[f1770]) ).
cnf(s321,plain,
( ~ spl0_15
| spl0_71
| spl0_72
| spl0_73 ),
inference(sat_conversion,[],[f1781]) ).
cnf(s323,plain,
( ~ spl0_5
| ~ spl0_101
| spl0_103
| ~ spl0_156 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s342,plain,
( ~ spl0_23
| ~ spl0_113
| ~ spl0_114
| spl0_157 ),
inference(sat_conversion,[],[f1802]) ).
cnf(s346,plain,
( ~ spl0_35
| spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(sat_conversion,[],[f1806]) ).
cnf(s355,plain,
( ~ spl0_10
| ~ spl0_74
| ~ spl0_117
| spl0_178 ),
inference(sat_conversion,[],[f1891]) ).
cnf(s356,plain,
( ~ spl0_10
| ~ spl0_90
| spl0_91
| ~ spl0_131 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s357,plain,
( ~ spl0_1
| ~ spl0_77
| ~ spl0_120
| spl0_166 ),
inference(sat_conversion,[],[f1893]) ).
cnf(s360,plain,
( ~ spl0_10
| ~ spl0_66
| spl0_67
| ~ spl0_164 ),
inference(sat_conversion,[],[f1898]) ).
cnf(s361,plain,
( ~ spl0_11
| ~ spl0_66
| spl0_67
| spl0_164 ),
inference(sat_conversion,[],[f1938]) ).
cnf(s368,plain,
( spl0_15
| ~ spl0_16
| ~ spl0_41 ),
inference(sat_conversion,[],[f1986]) ).
cnf(s369,plain,
( ~ spl0_8
| spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s401,plain,
( ~ spl0_23
| spl0_75
| ~ spl0_117
| ~ spl0_178 ),
inference(sat_conversion,[],[f2092]) ).
cnf(s405,plain,
( ~ spl0_1
| ~ spl0_104
| spl0_105
| ~ spl0_141 ),
inference(sat_conversion,[],[f2096]) ).
cnf(s408,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f2099]) ).
cnf(s416,plain,
( ~ spl0_9
| spl0_125
| ~ spl0_126
| spl0_174 ),
inference(sat_conversion,[],[f2136]) ).
cnf(s422,plain,
( ~ spl0_11
| ~ spl0_101
| spl0_102
| spl0_103 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s426,plain,
( ~ spl0_4
| spl0_125
| ~ spl0_126
| ~ spl0_174 ),
inference(sat_conversion,[],[f2182]) ).
cnf(s429,plain,
( ~ spl0_8
| spl0_87
| spl0_88
| spl0_128 ),
inference(sat_conversion,[],[f2185]) ).
cnf(s434,plain,
( ~ spl0_20
| ~ spl0_113
| ~ spl0_114
| ~ spl0_157 ),
inference(sat_conversion,[],[f2190]) ).
cnf(s449,plain,
( ~ spl0_23
| spl0_83
| ~ spl0_127
| ~ spl0_167 ),
inference(sat_conversion,[],[f2205]) ).
cnf(s473,plain,
( ~ spl0_1
| ~ spl0_82
| ~ spl0_127
| spl0_167 ),
inference(sat_conversion,[],[f2257]) ).
cnf(s474,plain,
( ~ spl0_20
| ~ spl0_110
| ~ spl0_111
| ~ spl0_175 ),
inference(sat_conversion,[],[f2272]) ).
cnf(s475,plain,
( ~ spl0_20
| ~ spl0_120
| ~ spl0_121
| ~ spl0_166 ),
inference(sat_conversion,[],[f2273]) ).
cnf(s478,plain,
( ~ spl0_7
| ~ spl0_12
| spl0_107
| ~ spl0_142 ),
inference(sat_conversion,[],[f2304]) ).
cnf(s479,plain,
( ~ spl0_24
| ~ spl0_101
| spl0_103
| spl0_156 ),
inference(sat_conversion,[],[f2331]) ).
cnf(s494,plain,
( ~ spl0_44
| spl0_87
| spl0_128
| spl0_160 ),
inference(sat_conversion,[],[f2410]) ).
cnf(s495,plain,
( ~ spl0_44
| spl0_97
| spl0_98
| spl0_136 ),
inference(sat_conversion,[],[f2411]) ).
cnf(s496,plain,
( spl0_15
| ~ spl0_24
| ~ spl0_44 ),
inference(sat_conversion,[],[f2412]) ).
cnf(s497,plain,
( ~ spl0_16
| ~ spl0_66
| spl0_67
| spl0_68 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s501,plain,
( ~ spl0_14
| spl0_146
| ~ spl0_147
| ~ spl0_148 ),
inference(sat_conversion,[],[f2417]) ).
cnf(s507,plain,
( ~ spl0_24
| ~ spl0_84
| spl0_85
| spl0_86 ),
inference(sat_conversion,[],[f2423]) ).
cnf(s508,plain,
( ~ spl0_2
| spl0_93
| ~ spl0_132
| ~ spl0_168 ),
inference(sat_conversion,[],[f2424]) ).
cnf(s509,plain,
( ~ spl0_2
| spl0_89
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f2425]) ).
cnf(s519,plain,
( ~ spl0_25
| spl0_93
| ~ spl0_132
| spl0_168 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s520,plain,
( ~ spl0_25
| spl0_87
| spl0_88
| ~ spl0_160 ),
inference(sat_conversion,[],[f2436]) ).
cnf(s523,plain,
( ~ spl0_25
| spl0_64
| spl0_65
| ~ spl0_112 ),
inference(sat_conversion,[],[f2439]) ).
cnf(s524,plain,
( ~ spl0_25
| spl0_102
| spl0_103
| ~ spl0_156 ),
inference(sat_conversion,[],[f2440]) ).
cnf(s526,plain,
( ~ spl0_38
| ~ spl0_66
| spl0_68
| ~ spl0_164 ),
inference(sat_conversion,[],[f2442]) ).
cnf(s529,plain,
( ~ spl0_44
| spl0_81
| spl0_125
| spl0_174 ),
inference(sat_conversion,[],[f2445]) ).
cnf(s532,plain,
( ~ spl0_23
| spl0_100
| ~ spl0_139
| ~ spl0_140 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s536,plain,
( ~ spl0_9
| spl0_70
| spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f2452]) ).
cnf(s537,plain,
( ~ spl0_14
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f2453]) ).
cnf(s538,plain,
( ~ spl0_15
| spl0_102
| spl0_103
| spl0_156 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s539,plain,
( ~ spl0_15
| spl0_67
| spl0_68
| spl0_164 ),
inference(sat_conversion,[],[f2455]) ).
cnf(s540,plain,
( ~ spl0_17
| spl0_25
| ~ spl0_31 ),
inference(sat_conversion,[],[f2456]) ).
cnf(s550,plain,
( ~ spl0_4
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f2466]) ).
cnf(s555,plain,
( ~ spl0_7
| spl0_62
| spl0_108
| ~ spl0_109 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s556,plain,
( ~ spl0_7
| spl0_118
| ~ spl0_119
| spl0_172 ),
inference(sat_conversion,[],[f2472]) ).
cnf(s564,plain,
( ~ spl0_4
| spl0_143
| ~ spl0_144
| ~ spl0_145 ),
inference(sat_conversion,[],[f2480]) ).
cnf(s573,plain,
( ~ spl0_15
| spl0_85
| spl0_86
| spl0_177 ),
inference(sat_conversion,[],[f2552]) ).
cnf(s574,plain,
( ~ spl0_1
| ~ spl0_84
| spl0_85
| ~ spl0_177 ),
inference(sat_conversion,[],[f2553]) ).
cnf(s575,plain,
( ~ spl0_9
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s416,s426,s119,s120,s37,s239]) ).
cnf(s577,plain,
( spl0_30
| ~ spl0_10 ),
inference(rat,[],[s356,s84,s85,s125]) ).
cnf(s578,plain,
( spl0_15
| spl0_25
| ~ spl0_44
| spl0_3 ),
inference(rat,[],[s11,s496]) ).
cnf(s580,plain,
( spl0_34
| ~ spl0_23
| ~ spl0_10 ),
inference(rat,[],[s355,s401,s68,s69,s111]) ).
cnf(s584,plain,
( spl0_36
| ~ spl0_35 ),
inference(rat,[],[s346,s143,s144,s145]) ).
cnf(s585,plain,
( spl0_37
| ~ spl0_15 ),
inference(rat,[],[s321,s65,s66,s67]) ).
cnf(s586,plain,
( spl0_47
| ~ spl0_7 ),
inference(rat,[],[s555,s56,s102,s103]) ).
cnf(s587,plain,
( spl0_45
| ~ spl0_4 ),
inference(rat,[],[s564,s137,s138,s139]) ).
cnf(s588,plain,
( spl0_6
| ~ spl0_45
| ~ spl0_7
| ~ spl0_10
| spl0_3
| spl0_1 ),
inference(rat,[],[s261,s86,s87,s126,s10,s580,s43,s478,s101,s136,s28,s15,s203,s556,s112,s113,s16,s577]) ).
cnf(s589,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s408,s588,s587,s3,s4,s575,s429,s81,s82,s122,s38,s1]) ).
cnf(s590,plain,
~ spl0_3,
inference(rat,[],[s152,s163,s171,s183]) ).
cnf(s591,plain,
( ~ spl0_28
| ~ spl0_2 ),
inference(rat,[],[s509,s83,s123,s124]) ).
cnf(s592,plain,
( spl0_56
| ~ spl0_23 ),
inference(rat,[],[s532,s94,s133,s134]) ).
cnf(s593,plain,
( spl0_44
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s497,s60,s61,s62,s24,s23,s590]) ).
cnf(s594,plain,
( spl0_57
| ~ spl0_44 ),
inference(rat,[],[s495,s91,s92,s130]) ).
cnf(s595,plain,
( ~ spl0_18
| ~ spl0_12 ),
inference(rat,[],[s245,s76,s77,s121]) ).
cnf(s596,plain,
( spl0_20
| ~ spl0_4
| spl0_18 ),
inference(rat,[],[s8,s550,s590]) ).
cnf(s597,plain,
( ~ spl0_43
| ~ spl0_38
| ~ spl0_15 ),
inference(rat,[],[s526,s539,s60,s61,s62]) ).
cnf(s598,plain,
( ~ spl0_110
| ~ spl0_111
| ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s474,s310]) ).
cnf(s599,plain,
( ~ spl0_13
| ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s104,s598,s105]) ).
cnf(s600,plain,
( spl0_87
| spl0_128
| ~ spl0_44
| ~ spl0_6 ),
inference(rat,[],[s494,s189]) ).
cnf(s601,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s81,s600,s122,s46,s597,s40,s599,s596,s578,s519,s261,s508,s86,s87,s126,s39,s594,s593,s34,s592,s202,s587,s595,s22,s577,s41,s591,s589,s590]) ).
cnf(s602,plain,
( spl0_22
| spl0_1 ),
inference(rat,[],[s10,s501,s255,s140,s141,s142,s416,s48,s75,s119,s120,s594,s27,s39,s4,s595,s22,s577,s41,s591,s589,s601,s590]) ).
cnf(s603,plain,
( spl0_20
| spl0_1 ),
inference(rat,[],[s537,s8,s595,s22,s577,s41,s13,s519,s508,s126,s87,s602,s591,s589,s590]) ).
cnf(s605,plain,
( ~ spl0_55
| ~ spl0_9 ),
inference(rat,[],[s536,s64,s109,s110]) ).
cnf(s606,plain,
spl0_1,
inference(rat,[],[s233,s434,s63,s107,s108,s42,s605,s603,s253,s508,s86,s87,s126,s602,s4,s22,s577,s41,s591,s589,s590]) ).
cnf(s607,plain,
( ~ spl0_46
| ~ spl0_20 ),
inference(rat,[],[s357,s475,s71,s114,s115,s606]) ).
cnf(s608,plain,
( ~ spl0_44
| spl0_46
| spl0_52 ),
inference(rat,[],[s578,s585,s520,s151,s494,s594,s122,s82,s81,s590]) ).
cnf(s609,plain,
( spl0_58
| spl0_25 ),
inference(rat,[],[s11,s573,s507,s574,s78,s79,s80,s590,s606]) ).
cnf(s611,plain,
( spl0_58
| ~ spl0_24 ),
inference(rat,[],[s507,s78,s79,s80]) ).
cnf(s613,plain,
( ~ spl0_44
| spl0_52
| ~ spl0_4 ),
inference(rat,[],[s529,s426,s75,s119,s120,s37,s550,s607,s608,s590]) ).
cnf(s615,plain,
( spl0_58
| ~ spl0_47
| spl0_87
| spl0_88
| spl0_128 ),
inference(rat,[],[s271,s26,s520,s611,s609,s590]) ).
cnf(s616,plain,
( spl0_2
| ~ spl0_4 ),
inference(rat,[],[s497,s60,s61,s62,s47,s615,s24,s613,s586,s3,s429,s81,s82,s122,s575,s38,s587,s590]) ).
cnf(s617,plain,
( ~ spl0_20
| spl0_43
| ~ spl0_44
| ~ spl0_2 ),
inference(rat,[],[s523,s58,s59,s106,s55,s496,s585,s540,s151,s40,s607,s599,s36,s594,s591,s590]) ).
cnf(s618,plain,
( spl0_48
| ~ spl0_44
| ~ spl0_4 ),
inference(rat,[],[s529,s426,s75,s119,s120]) ).
cnf(s619,plain,
( ~ spl0_44
| ~ spl0_4 ),
inference(rat,[],[s523,s58,s59,s106,s55,s578,s496,s597,s617,s599,s550,s37,s618,s46,s613,s587,s616,s590]) ).
cnf(s620,plain,
( spl0_58
| spl0_13 ),
inference(rat,[],[s523,s58,s59,s106,s55,s611,s609,s590]) ).
cnf(s621,plain,
( ~ spl0_43
| ~ spl0_16 ),
inference(rat,[],[s497,s60,s61,s62]) ).
cnf(s622,plain,
~ spl0_4,
inference(rat,[],[s416,s3,s426,s586,s119,s120,s26,s37,s369,s368,s550,s573,s599,s574,s620,s611,s78,s79,s80,s47,s621,s24,s619,s616,s587,s590,s606]) ).
cnf(s625,plain,
spl0_51,
inference(rat,[],[s405,s98,s99,s135,s606]) ).
cnf(s626,plain,
( spl0_12
| spl0_43 ),
inference(rat,[],[s422,s95,s96,s97,s29,s584,s5,s45,s622,s625,s590]) ).
cnf(s627,plain,
( spl0_22
| spl0_14
| ~ spl0_44 ),
inference(rat,[],[s529,s255,s75,s119,s120,s10,s27,s590,s622]) ).
cnf(s628,plain,
( ~ spl0_19
| spl0_52
| ~ spl0_44 ),
inference(rat,[],[s253,s306,s86,s126,s627,s537,s607,s608,s2,s600,s81,s122,s622,s590]) ).
cnf(s629,plain,
( spl0_52
| ~ spl0_44 ),
inference(rat,[],[s422,s95,s96,s97,s29,s584,s19,s255,s5,s529,s595,s75,s119,s120,s8,s37,s628,s607,s608,s622,s625,s590]) ).
cnf(s630,plain,
( ~ spl0_20
| ~ spl0_44 ),
inference(rat,[],[s523,s58,s59,s106,s55,s578,s496,s585,s151,s607,s599,s594,s38,s629,s590]) ).
cnf(s631,plain,
( ~ spl0_19
| ~ spl0_44 ),
inference(rat,[],[s519,s306,s86,s87,s126,s627,s13,s537,s591,s38,s629,s630,s590]) ).
cnf(s632,plain,
~ spl0_44,
inference(rat,[],[s361,s360,s60,s61,s5,s22,s626,s595,s8,s631,s630,s591,s38,s629,s622,s590]) ).
cnf(s633,plain,
~ spl0_20,
inference(rat,[],[s233,s434,s63,s107,s108,s53,s605,s3,s586,s26,s369,s368,s573,s574,s611,s78,s79,s80,s626,s47,s621,s25,s607,s590,s606,s632]) ).
cnf(s636,plain,
( ~ spl0_54
| ~ spl0_23
| ~ spl0_19 ),
inference(rat,[],[s237,s342,s63,s107,s108]) ).
cnf(s638,plain,
( ~ spl0_50
| spl0_25
| ~ spl0_5 ),
inference(rat,[],[s11,s479,s538,s323,s95,s96,s97,s590]) ).
cnf(s639,plain,
( spl0_50
| spl0_9
| ~ spl0_19 ),
inference(rat,[],[s233,s19,s237,s584,s636,s63,s107,s108,s29,s32,s590,s625]) ).
cnf(s640,plain,
( ~ spl0_19
| spl0_2 ),
inference(rat,[],[s26,s271,s479,s520,s524,s638,s95,s96,s97,s639,s586,s3,s2,s239,s240,s429,s81,s82,s122,s38,s590,s622]) ).
cnf(s641,plain,
~ spl0_18,
inference(rat,[],[s422,s95,s96,s97,s29,s584,s19,s449,s5,s473,s595,s76,s77,s121,s590,s625,s622,s606]) ).
cnf(s643,plain,
spl0_19,
inference(rat,[],[s8,s633,s590,s641]) ).
cnf(s644,plain,
~ spl0_33,
inference(rat,[],[s31,s633,s590,s641]) ).
cnf(s648,plain,
~ spl0_14,
inference(rat,[],[s537,s633,s643]) ).
cnf(s649,plain,
spl0_2,
inference(rat,[],[s640,s643]) ).
cnf(s650,plain,
spl0_134,
inference(rat,[],[s128,s644]) ).
cnf(s651,plain,
~ spl0_133,
inference(rat,[],[s127,s644]) ).
cnf(s652,plain,
~ spl0_94,
inference(rat,[],[s88,s644]) ).
cnf(s654,plain,
~ spl0_28,
inference(rat,[],[s591,s649]) ).
cnf(s655,plain,
~ spl0_6,
inference(rat,[],[s284,s650,s651,s652]) ).
cnf(s660,plain,
~ spl0_56,
inference(rat,[],[s34,s655,s590,s654]) ).
cnf(s661,plain,
spl0_5,
inference(rat,[],[s2,s622,s590,s655]) ).
cnf(s668,plain,
~ spl0_23,
inference(rat,[],[s592,s660]) ).
cnf(s674,plain,
spl0_22,
inference(rat,[],[s10,s590,s648,s668]) ).
cnf(s676,plain,
spl0_132,
inference(rat,[],[s126,s674]) ).
cnf(s678,plain,
spl0_92,
inference(rat,[],[s86,s674]) ).
cnf(s683,plain,
~ spl0_168,
inference(rat,[],[s306,s678,s643,s676]) ).
cnf(s684,plain,
$false,
inference(rat,[],[s253,s678,s661,s676,s683]) ).
fof(f2554,plain,
$false,
inference(avatar_sat_refutation,[],[s684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN442-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 16:02:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % (3484156)Will run a generic schedule for satisfiability detection.
% 0.08/0.17 % (3484162)% WARNING: option uhcvi not known.
% 0.08/0.17 % (3484161)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3089178034_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.17 % (3484162)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3679339237:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.17 % (3484163)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1643266952:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.17 % (3484164)dis+10_1_sil=32000:sp=arity:random_seed=2206317094:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.17 % (3484167)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=277971763:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.17 % (3484165)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=864896591:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.17 % (3484166)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=201636892:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.17 % Detected minimum model sizes of [1]
% 0.08/0.17 % Detected maximum model sizes of [31]
% 0.08/0.17 % TRYING [1]
% 0.08/0.17 % TRYING [2]
% 0.08/0.17 % TRYING [3]
% 0.08/0.17 % TRYING [4]
% 0.08/0.17 % (3484167) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3484156-3484167"...
% 0.08/0.17 % (3484167)...printing done.
% 0.08/0.17 % (3484167)Refutation found. Thanks to Tanya!
% 0.08/0.17 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.17 % (3484167)------------------------------
% 0.08/0.17 % (3484167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17 % (3484167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17 % (3484167)CaDiCaL version: 2.1.3
% 0.08/0.17 % (3484167)Termination reason: Refutation
% 0.08/0.17 % (3484167)Time elapsed: 0.018 s
% 0.08/0.17 % (3484167)Peak memory usage: 13 MB
% 0.08/0.17 % (3484167)Instructions burned: 53 (million)
% 0.08/0.17 % (3484156)Success in time 0.043 s
% 0.08/0.17 % Vampire exiting
%------------------------------------------------------------------------------