%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN501-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:58:47 PM UTC 2026
% Result : Unsatisfiable 0.64s 0.99s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 245
% Syntax : Number of formulae : 922 ( 34 unt; 128 def)
% Number of atoms : 2964 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3707 (1665 ~;1914 |; 0 &)
% ( 128 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 159 ( 158 usr; 155 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 25 con; 0-0 aty)
% Number of variables : 142 ( 0 sgn 142 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp12
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f9,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f27,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f32,negated_conjecture,
( hskp28
| hskp4
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp27
| hskp9
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f35,negated_conjecture,
( hskp18
| hskp4
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp18
| hskp19
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f40,negated_conjecture,
( hskp16
| hskp6
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f43,negated_conjecture,
( ~ hskp29
| c0_1(a166) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp29
| c2_1(a166) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp29
| c3_1(a166) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp28
| c0_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp28
| c1_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp28
| c2_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp27
| c0_1(a101) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp27
| c1_1(a101) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp27
| c3_1(a101) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f54,negated_conjecture,
( ~ hskp25
| c1_1(a173) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp23
| c1_1(a145) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( ~ hskp23
| c3_1(a145) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( ~ hskp22
| c0_1(a138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( ~ hskp22
| c3_1(a138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f60,negated_conjecture,
( ~ hskp19
| c1_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp19
| c3_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp18
| c0_1(a129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp18
| c2_1(a129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp17
| c2_1(a124) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp16
| c0_1(a122) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp13
| c0_1(a116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp13
| c1_1(a116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp12
| c0_1(a113) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp12
| c1_1(a113) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp11
| c3_1(a112) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp10
| c1_1(a110) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp9
| c1_1(a108) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp9
| c2_1(a108) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f75,negated_conjecture,
( ~ hskp7
| c2_1(a106) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp7
| c3_1(a106) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp6
| c1_1(a105) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp6
| c2_1(a105) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp5
| c2_1(a104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp4
| c0_1(a103) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp4
| c2_1(a103) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp3
| c2_1(a100) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp3
| c3_1(a100) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp2
| c2_1(a99) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp1
| c0_1(a98) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp0
| c0_1(a97) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f88,negated_conjecture,
( ~ c0_1(a173)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f93,negated_conjecture,
( ~ c0_1(a145)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f97,negated_conjecture,
( ~ c1_1(a132)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c2_1(a132)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c3_1(a132)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c2_1(a130)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c1_1(a129)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c1_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c3_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c1_1(a122)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c2_1(a122)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c0_1(a121)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c2_1(a121)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c3_1(a121)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f113,negated_conjecture,
( ~ c2_1(a113)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c0_1(a112)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c1_1(a112)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c2_1(a110)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c3_1(a110)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c0_1(a108)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f121,negated_conjecture,
( ~ c0_1(a106)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c3_1(a105)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f125,negated_conjecture,
( ~ c3_1(a103)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f127,negated_conjecture,
( ~ c0_1(a99)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c1_1(a99)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ c1_1(a98)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c3_1(a98)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ c2_1(a97)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ c3_1(a97)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f134,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp5
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp18
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f137,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp6
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f145,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp1
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp23
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp9
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp4
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp3
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp7
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp4
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp27
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp16
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp27
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp1
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X0)
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f189,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X2)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X2)
| c3_1(X0)
| c1_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c2_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| c1_1(X1)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
fof(f201,definition,
( spl0_1
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f202,plain,
( ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl0_2
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f205,plain,
( ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f210,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f211,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f199,f210,f207,f204,f201]) ).
fof(f214,definition,
( spl0_5
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f215,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f218,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f220,definition,
( spl0_7
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f221,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f222,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f198,f220,f207,f217,f214]) ).
fof(f224,definition,
( spl0_8
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f225,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c2_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,definition,
( spl0_9
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f228,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( spl0_8
| spl0_1
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f197,f227,f207,f201,f224]) ).
fof(f231,definition,
( spl0_10
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f232,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c0_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl0_11
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f235,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( spl0_10
| spl0_1
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f196,f234,f207,f201,f231]) ).
fof(f238,definition,
( spl0_12
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f239,plain,
( ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,definition,
( spl0_13
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f242,plain,
( ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( spl0_12
| spl0_13
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f195,f227,f207,f241,f238]) ).
fof(f245,definition,
( spl0_14
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f246,plain,
( ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f252,definition,
( spl0_16
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f253,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,definition,
( spl0_17
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f256,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,definition,
( spl0_18
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f259,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f260,plain,
( spl0_16
| spl0_17
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f193,f258,f207,f255,f252]) ).
fof(f262,definition,
( spl0_19
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f263,plain,
( ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,definition,
( spl0_20
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f266,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( spl0_19
| spl0_20
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f192,f241,f207,f265,f262]) ).
fof(f269,definition,
( spl0_21
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f270,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X2) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,definition,
( spl0_22
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f273,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( spl0_21
| spl0_22
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f191,f217,f207,f272,f269]) ).
fof(f282,definition,
( spl0_25
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f283,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,definition,
( spl0_26
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f287,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,definition,
( spl0_27
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f290,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,definition,
( spl0_28
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f293,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( spl0_26
| spl0_27
| ~ spl0_3
| spl0_28 ),
inference(avatar_split_clause,[],[f189,f292,f207,f289,f286]) ).
fof(f308,definition,
( spl0_32
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f310,plain,
( spl0_32
| spl0_18
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f185,f220,f207,f258,f308]) ).
fof(f312,definition,
( spl0_33
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f314,plain,
( spl0_33
| spl0_22
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f184,f210,f207,f272,f312]) ).
fof(f316,definition,
( spl0_34
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f318,plain,
( spl0_34
| spl0_18
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f183,f234,f207,f258,f316]) ).
fof(f320,definition,
( spl0_35
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f323,plain,
( spl0_33
| spl0_1
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f181,f282,f207,f201,f312]) ).
fof(f328,definition,
( spl0_37
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f332,definition,
( spl0_38
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f339,definition,
( spl0_40
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( spl0_40
| spl0_5
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f178,f234,f207,f214,f339]) ).
fof(f343,definition,
( spl0_41
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f345,plain,
( spl0_41
| spl0_5
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f177,f272,f207,f214,f343]) ).
fof(f347,definition,
( spl0_42
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f349,plain,
( spl0_42
| spl0_13
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f176,f217,f207,f241,f347]) ).
fof(f351,definition,
( spl0_43
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f355,definition,
( spl0_44
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f360,definition,
( spl0_45
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f365,definition,
( spl0_46
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( spl0_46
| spl0_12
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f170,f214,f207,f238,f365]) ).
fof(f369,definition,
( spl0_47
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( spl0_47
| spl0_14
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f169,f214,f207,f245,f369]) ).
fof(f373,definition,
( spl0_48
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( spl0_48
| spl0_10
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f168,f224,f207,f231,f373]) ).
fof(f376,plain,
( spl0_41
| spl0_26
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f167,f234,f207,f286,f343]) ).
fof(f378,definition,
( spl0_49
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f380,plain,
( spl0_49
| spl0_26
| spl0_22
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f166,f207,f272,f286,f378]) ).
fof(f381,plain,
( spl0_45
| spl0_21
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f165,f258,f207,f269,f360]) ).
fof(f386,plain,
( spl0_33
| spl0_14
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f163,f224,f207,f245,f312]) ).
fof(f388,definition,
( spl0_51
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f393,definition,
( spl0_52
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f395,plain,
( spl0_52
| spl0_33
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f160,f210,f207,f312,f393]) ).
fof(f397,definition,
( spl0_53
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f399,plain,
( spl0_53
| spl0_51
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f159,f220,f207,f388,f397]) ).
fof(f401,definition,
( spl0_54
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f403,plain,
( spl0_54
| spl0_40
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f158,f234,f207,f339,f401]) ).
fof(f405,plain,
( spl0_35
| spl0_51
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f156,f282,f207,f388,f320]) ).
fof(f407,definition,
( spl0_55
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f409,plain,
( spl0_55
| spl0_48
| ~ spl0_3
| spl0_37 ),
inference(avatar_split_clause,[],[f155,f328,f207,f373,f407]) ).
fof(f410,plain,
( spl0_43
| spl0_55
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f154,f217,f207,f407,f351]) ).
fof(f411,plain,
( spl0_49
| spl0_47
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f153,f204,f207,f369,f378]) ).
fof(f412,plain,
( spl0_55
| spl0_48
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f152,f201,f207,f373,f407]) ).
fof(f413,plain,
( spl0_49
| spl0_52
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f151,f272,f207,f393,f378]) ).
fof(f415,definition,
( spl0_56
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f417,plain,
( spl0_56
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f150,f282,f207,f415]) ).
fof(f418,plain,
( spl0_44
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f149,f282,f207,f355]) ).
fof(f422,definition,
( spl0_57
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f424,plain,
( spl0_49
| spl0_57
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f146,f224,f207,f422,f378]) ).
fof(f425,plain,
( spl0_35
| spl0_33
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f145,f224,f207,f312,f320]) ).
fof(f430,definition,
( spl0_59
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f441,definition,
( spl0_61
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f444,definition,
( spl0_62
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f448,plain,
( spl0_55
| spl0_56
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f137,f245,f207,f415,f407]) ).
fof(f450,plain,
( spl0_35
| spl0_38
| spl0_26
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f135,f207,f286,f332,f320]) ).
fof(f451,plain,
( spl0_34
| spl0_61
| spl0_21
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f134,f207,f269,f441,f316]) ).
fof(f455,definition,
( spl0_63
<=> c3_1(a97) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f456,plain,
( ~ c3_1(a97)
| spl0_63 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f457,plain,
( ~ spl0_44
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f132,f455,f355]) ).
fof(f459,definition,
( spl0_64
<=> c2_1(a97) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f461,plain,
( ~ spl0_44
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f131,f459,f355]) ).
fof(f464,definition,
( spl0_65
<=> c3_1(a98) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f465,plain,
( ~ c3_1(a98)
| spl0_65 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( ~ spl0_33
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f130,f464,f312]) ).
fof(f468,definition,
( spl0_66
<=> c1_1(a98) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f469,plain,
( ~ c1_1(a98)
| spl0_66 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f470,plain,
( ~ spl0_33
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f129,f468,f312]) ).
fof(f473,definition,
( spl0_67
<=> c1_1(a99) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f474,plain,
( ~ c1_1(a99)
| spl0_67 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f475,plain,
( ~ spl0_32
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f128,f473,f308]) ).
fof(f477,definition,
( spl0_68
<=> c0_1(a99) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f478,plain,
( ~ c0_1(a99)
| spl0_68 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( ~ spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f127,f477,f308]) ).
fof(f487,definition,
( spl0_70
<=> c3_1(a103) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f488,plain,
( ~ c3_1(a103)
| spl0_70 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f489,plain,
( ~ spl0_48
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f125,f487,f373]) ).
fof(f501,definition,
( spl0_73
<=> c3_1(a105) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f503,plain,
( ~ spl0_56
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f122,f501,f415]) ).
fof(f506,definition,
( spl0_74
<=> c0_1(a106) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f507,plain,
( ~ c0_1(a106)
| spl0_74 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f508,plain,
( ~ spl0_55
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f121,f506,f407]) ).
fof(f520,definition,
( spl0_77
<=> c0_1(a108) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f521,plain,
( ~ c0_1(a108)
| spl0_77 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f522,plain,
( ~ spl0_52
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f118,f520,f393]) ).
fof(f525,definition,
( spl0_78
<=> c3_1(a110) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f526,plain,
( ~ c3_1(a110)
| spl0_78 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( ~ spl0_45
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f117,f525,f360]) ).
fof(f529,definition,
( spl0_79
<=> c2_1(a110) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f530,plain,
( ~ c2_1(a110)
| spl0_79 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( ~ spl0_45
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f116,f529,f360]) ).
fof(f534,definition,
( spl0_80
<=> c1_1(a112) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f535,plain,
( ~ c1_1(a112)
| spl0_80 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( ~ spl0_34
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f115,f534,f316]) ).
fof(f538,definition,
( spl0_81
<=> c0_1(a112) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f539,plain,
( ~ c0_1(a112)
| spl0_81 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f540,plain,
( ~ spl0_34
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f114,f538,f316]) ).
fof(f543,definition,
( spl0_82
<=> c2_1(a113) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f544,plain,
( ~ c2_1(a113)
| spl0_82 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f545,plain,
( ~ spl0_46
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f113,f543,f365]) ).
fof(f566,definition,
( spl0_87
<=> c3_1(a121) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f567,plain,
( ~ c3_1(a121)
| spl0_87 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f568,plain,
( ~ spl0_41
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f108,f566,f343]) ).
fof(f570,definition,
( spl0_88
<=> c2_1(a121) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f571,plain,
( ~ c2_1(a121)
| spl0_88 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f572,plain,
( ~ spl0_41
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f107,f570,f343]) ).
fof(f574,definition,
( spl0_89
<=> c0_1(a121) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f575,plain,
( ~ c0_1(a121)
| spl0_89 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f576,plain,
( ~ spl0_41
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f106,f574,f343]) ).
fof(f579,definition,
( spl0_90
<=> c2_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f580,plain,
( ~ c2_1(a122)
| spl0_90 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( ~ spl0_40
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f105,f579,f339]) ).
fof(f583,definition,
( spl0_91
<=> c1_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f584,plain,
( ~ c1_1(a122)
| spl0_91 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f585,plain,
( ~ spl0_40
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f104,f583,f339]) ).
fof(f588,definition,
( spl0_92
<=> c3_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f589,plain,
( ~ c3_1(a124)
| spl0_92 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f590,plain,
( ~ spl0_49
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f103,f588,f378]) ).
fof(f592,definition,
( spl0_93
<=> c1_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f593,plain,
( ~ c1_1(a124)
| spl0_93 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f594,plain,
( ~ spl0_49
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f102,f592,f378]) ).
fof(f597,definition,
( spl0_94
<=> c1_1(a129) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f598,plain,
( ~ c1_1(a129)
| spl0_94 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f599,plain,
( ~ spl0_38
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f101,f597,f332]) ).
fof(f602,definition,
( spl0_95
<=> c2_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f603,plain,
( ~ c2_1(a130)
| spl0_95 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f604,plain,
( ~ spl0_35
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f100,f602,f320]) ).
fof(f607,definition,
( spl0_96
<=> c3_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f608,plain,
( ~ c3_1(a132)
| spl0_96 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f609,plain,
( ~ spl0_43
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f99,f607,f351]) ).
fof(f611,definition,
( spl0_97
<=> c2_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f612,plain,
( ~ c2_1(a132)
| spl0_97 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f613,plain,
( ~ spl0_43
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f98,f611,f351]) ).
fof(f615,definition,
( spl0_98
<=> c1_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f616,plain,
( ~ c1_1(a132)
| spl0_98 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( ~ spl0_43
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f97,f615,f351]) ).
fof(f634,definition,
( spl0_102
<=> c0_1(a145) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f635,plain,
( ~ c0_1(a145)
| spl0_102 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( ~ spl0_57
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f93,f634,f422]) ).
fof(f656,definition,
( spl0_107
<=> c0_1(a173) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f657,plain,
( ~ c0_1(a173)
| spl0_107 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f658,plain,
( ~ spl0_54
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f88,f656,f401]) ).
fof(f667,definition,
( spl0_110
<=> c0_1(a97) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f669,plain,
( spl0_110
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f86,f355,f667]) ).
fof(f671,definition,
( spl0_111
<=> c0_1(a98) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f672,plain,
( c0_1(a98)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f673,plain,
( spl0_111
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f85,f312,f671]) ).
fof(f675,definition,
( spl0_112
<=> c2_1(a99) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f676,plain,
( c2_1(a99)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( spl0_112
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f84,f308,f675]) ).
fof(f679,definition,
( spl0_113
<=> c3_1(a100) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f680,plain,
( c3_1(a100)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( spl0_113
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f83,f369,f679]) ).
fof(f683,definition,
( spl0_114
<=> c2_1(a100) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f684,plain,
( c2_1(a100)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f685,plain,
( spl0_114
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f82,f369,f683]) ).
fof(f687,definition,
( spl0_115
<=> c2_1(a103) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f688,plain,
( c2_1(a103)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( spl0_115
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f81,f373,f687]) ).
fof(f691,definition,
( spl0_116
<=> c0_1(a103) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f692,plain,
( c0_1(a103)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( spl0_116
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f80,f373,f691]) ).
fof(f695,definition,
( spl0_117
<=> c2_1(a104) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f696,plain,
( c2_1(a104)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f697,plain,
( spl0_117
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f79,f441,f695]) ).
fof(f699,definition,
( spl0_118
<=> c2_1(a105) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f700,plain,
( c2_1(a105)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f701,plain,
( spl0_118
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f78,f415,f699]) ).
fof(f703,definition,
( spl0_119
<=> c1_1(a105) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f704,plain,
( c1_1(a105)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f705,plain,
( spl0_119
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f77,f415,f703]) ).
fof(f707,definition,
( spl0_120
<=> c3_1(a106) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f708,plain,
( c3_1(a106)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f709,plain,
( spl0_120
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f76,f407,f707]) ).
fof(f711,definition,
( spl0_121
<=> c2_1(a106) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f712,plain,
( c2_1(a106)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f713,plain,
( spl0_121
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f75,f407,f711]) ).
fof(f719,definition,
( spl0_123
<=> c2_1(a108) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f720,plain,
( c2_1(a108)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f721,plain,
( spl0_123
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f73,f393,f719]) ).
fof(f723,definition,
( spl0_124
<=> c1_1(a108) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f724,plain,
( c1_1(a108)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f725,plain,
( spl0_124
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f72,f393,f723]) ).
fof(f727,definition,
( spl0_125
<=> c1_1(a110) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f728,plain,
( c1_1(a110)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f729,plain,
( spl0_125
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f71,f360,f727]) ).
fof(f731,definition,
( spl0_126
<=> c3_1(a112) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f732,plain,
( c3_1(a112)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f733,plain,
( spl0_126
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f70,f316,f731]) ).
fof(f735,definition,
( spl0_127
<=> c1_1(a113) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f736,plain,
( c1_1(a113)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f737,plain,
( spl0_127
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f69,f365,f735]) ).
fof(f739,definition,
( spl0_128
<=> c0_1(a113) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f740,plain,
( c0_1(a113)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f741,plain,
( spl0_128
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f68,f365,f739]) ).
fof(f743,definition,
( spl0_129
<=> c1_1(a116) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f744,plain,
( c1_1(a116)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f745,plain,
( spl0_129
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f67,f444,f743]) ).
fof(f747,definition,
( spl0_130
<=> c0_1(a116) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f748,plain,
( c0_1(a116)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f749,plain,
( spl0_130
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f66,f444,f747]) ).
fof(f751,definition,
( spl0_131
<=> c0_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f752,plain,
( c0_1(a122)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f753,plain,
( spl0_131
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f65,f339,f751]) ).
fof(f755,definition,
( spl0_132
<=> c2_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f756,plain,
( c2_1(a124)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f757,plain,
( spl0_132
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f64,f378,f755]) ).
fof(f759,definition,
( spl0_133
<=> c2_1(a129) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f760,plain,
( c2_1(a129)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f761,plain,
( spl0_133
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f63,f332,f759]) ).
fof(f763,definition,
( spl0_134
<=> c0_1(a129) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f765,plain,
( spl0_134
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f62,f332,f763]) ).
fof(f767,definition,
( spl0_135
<=> c3_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f769,plain,
( spl0_135
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f61,f320,f767]) ).
fof(f771,definition,
( spl0_136
<=> c1_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f772,plain,
( c1_1(a130)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f773,plain,
( spl0_136
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f60,f320,f771]) ).
fof(f779,definition,
( spl0_138
<=> c3_1(a138) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f780,plain,
( c3_1(a138)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f781,plain,
( spl0_138
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f58,f430,f779]) ).
fof(f783,definition,
( spl0_139
<=> c0_1(a138) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f784,plain,
( c0_1(a138)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f785,plain,
( spl0_139
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f57,f430,f783]) ).
fof(f787,definition,
( spl0_140
<=> c3_1(a145) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f788,plain,
( c3_1(a145)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f789,plain,
( spl0_140
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f56,f422,f787]) ).
fof(f791,definition,
( spl0_141
<=> c1_1(a145) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f792,plain,
( c1_1(a145)
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f793,plain,
( spl0_141
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f55,f422,f791]) ).
fof(f795,definition,
( spl0_142
<=> c1_1(a173) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f796,plain,
( c1_1(a173)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f797,plain,
( spl0_142
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f54,f401,f795]) ).
fof(f807,definition,
( spl0_145
<=> c3_1(a101) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f808,plain,
( c3_1(a101)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f810,plain,
( spl0_145
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f51,f388,f807]) ).
fof(f812,definition,
( spl0_146
<=> c1_1(a101) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f813,plain,
( c1_1(a101)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f814,plain,
( spl0_146
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f50,f388,f812]) ).
fof(f816,definition,
( spl0_147
<=> c0_1(a101) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f817,plain,
( c0_1(a101)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f818,plain,
( spl0_147
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f49,f388,f816]) ).
fof(f820,definition,
( spl0_148
<=> c2_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f821,plain,
( c2_1(a137)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f823,plain,
( spl0_148
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f48,f347,f820]) ).
fof(f825,definition,
( spl0_149
<=> c1_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f826,plain,
( c1_1(a137)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f827,plain,
( spl0_149
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f47,f347,f825]) ).
fof(f829,definition,
( spl0_150
<=> c0_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f830,plain,
( c0_1(a137)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f831,plain,
( spl0_150
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f46,f347,f829]) ).
fof(f833,definition,
( spl0_151
<=> c3_1(a166) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f834,plain,
( c3_1(a166)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f836,plain,
( spl0_151
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f45,f397,f833]) ).
fof(f838,definition,
( spl0_152
<=> c2_1(a166) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f839,plain,
( c2_1(a166)
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f840,plain,
( spl0_152
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f44,f397,f838]) ).
fof(f842,definition,
( spl0_153
<=> c0_1(a166) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f843,plain,
( c0_1(a166)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f844,plain,
( spl0_153
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f43,f397,f842]) ).
fof(f847,plain,
( spl0_41
| spl0_56
| spl0_40 ),
inference(avatar_split_clause,[],[f40,f339,f415,f343]) ).
fof(f852,plain,
( spl0_49
| spl0_35
| spl0_38 ),
inference(avatar_split_clause,[],[f36,f332,f320,f378]) ).
fof(f853,plain,
( spl0_43
| spl0_48
| spl0_38 ),
inference(avatar_split_clause,[],[f35,f332,f373,f351]) ).
fof(f855,plain,
( spl0_32
| spl0_52
| spl0_51 ),
inference(avatar_split_clause,[],[f33,f388,f393,f308]) ).
fof(f856,plain,
( spl0_59
| spl0_48
| spl0_42 ),
inference(avatar_split_clause,[],[f32,f347,f373,f430]) ).
fof(f862,plain,
( spl0_3
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f27,f373,f207]) ).
fof(f880,plain,
( spl0_3
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f9,f430,f207]) ).
fof(f886,plain,
( spl0_3
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f3,f347,f207]) ).
fof(f888,plain,
( spl0_62
| spl0_46 ),
inference(avatar_split_clause,[],[f1,f365,f444]) ).
fof(f890,plain,
( c2_1(a113)
| ~ c0_1(a113)
| ~ spl0_6
| ~ spl0_127 ),
inference(resolution,[],[f218,f736]) ).
fof(f891,plain,
( ~ c0_1(a113)
| ~ spl0_6
| spl0_82
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f890,f544]) ).
fof(f892,plain,
( $false
| ~ spl0_6
| spl0_82
| ~ spl0_127
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f891,f740]) ).
fof(f893,plain,
( ~ spl0_6
| spl0_82
| ~ spl0_127
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f892]) ).
fof(f895,plain,
( ! [X0] :
( c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f225,f221]) ).
fof(f896,plain,
( c3_1(a124)
| ~ c2_1(a124)
| ~ spl0_8
| spl0_93 ),
inference(resolution,[],[f225,f593]) ).
fof(f900,plain,
( ! [X0] :
( c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f895]) ).
fof(f903,plain,
( ~ c2_1(a124)
| ~ spl0_8
| spl0_92
| spl0_93 ),
inference(forward_subsumption_resolution,[],[f896,f589]) ).
fof(f905,plain,
( $false
| ~ spl0_8
| spl0_92
| spl0_93
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f903,f756]) ).
fof(f906,plain,
( ~ spl0_8
| spl0_92
| spl0_93
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f907,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f273,f211]) ).
fof(f923,plain,
( ~ c2_1(a100)
| ~ spl0_4
| ~ spl0_22
| ~ spl0_113 ),
inference(resolution,[],[f907,f680]) ).
fof(f933,plain,
( c2_1(a132)
| ~ c0_1(a132)
| ~ spl0_10
| spl0_98 ),
inference(resolution,[],[f232,f616]) ).
fof(f935,plain,
( ~ c0_1(a132)
| ~ spl0_10
| spl0_97
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f933,f612]) ).
fof(f937,definition,
( spl0_156
<=> c0_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f938,plain,
( ~ c0_1(a124)
| spl0_156 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f941,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f235,f211]) ).
fof(f945,plain,
( ~ c0_1(a103)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_115 ),
inference(resolution,[],[f941,f688]) ).
fof(f949,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_115
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f945,f692]) ).
fof(f950,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_115
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f953,plain,
( ! [X2] :
( c1_1(X2)
| ~ c0_1(X2) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f202,f232]) ).
fof(f954,plain,
( spl0_11
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f900,f224,f220,f234]) ).
fof(f955,plain,
( c2_1(a98)
| ~ c0_1(a98)
| ~ spl0_10
| spl0_66 ),
inference(resolution,[],[f469,f232]) ).
fof(f956,plain,
( c3_1(a98)
| ~ c2_1(a98)
| ~ spl0_8
| spl0_66 ),
inference(resolution,[],[f469,f225]) ).
fof(f957,plain,
( ~ c2_1(a98)
| ~ spl0_8
| spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f956,f465]) ).
fof(f960,definition,
( spl0_157
<=> c2_1(a98) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f965,plain,
( ~ c0_1(a124)
| ~ spl0_1
| ~ spl0_10
| spl0_93 ),
inference(resolution,[],[f953,f593]) ).
fof(f968,plain,
( ~ c0_1(a98)
| ~ spl0_1
| ~ spl0_10
| spl0_66 ),
inference(resolution,[],[f953,f469]) ).
fof(f972,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| spl0_66
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f968,f672]) ).
fof(f973,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_66
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f975,plain,
( ~ spl0_156
| ~ spl0_1
| ~ spl0_10
| spl0_93 ),
inference(avatar_split_clause,[],[f965,f592,f231,f201,f937]) ).
fof(f978,plain,
( ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2) )
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f202,f221]) ).
fof(f982,plain,
( ~ c0_1(a103)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_115 ),
inference(resolution,[],[f978,f688]) ).
fof(f985,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_115
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f982,f692]) ).
fof(f986,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_115
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f985]) ).
fof(f989,plain,
( ! [X1] :
( c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f205,f225]) ).
fof(f994,plain,
( ~ c2_1(a99)
| ~ spl0_2
| ~ spl0_8
| spl0_67 ),
inference(resolution,[],[f989,f474]) ).
fof(f995,plain,
( ~ c2_1(a98)
| ~ spl0_2
| ~ spl0_8
| spl0_66 ),
inference(resolution,[],[f989,f469]) ).
fof(f999,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| spl0_67
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f994,f676]) ).
fof(f1000,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_67
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f1005,plain,
( ~ c0_1(a129)
| ~ c2_1(a129)
| ~ spl0_1
| spl0_94 ),
inference(resolution,[],[f202,f598]) ).
fof(f1009,plain,
( ~ c0_1(a98)
| ~ c2_1(a98)
| ~ spl0_1
| spl0_66 ),
inference(resolution,[],[f202,f469]) ).
fof(f1016,plain,
( ~ c0_1(a98)
| ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f955,f957]) ).
fof(f1017,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_66
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1016,f672]) ).
fof(f1018,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_66
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1019,plain,
( ~ c2_1(a98)
| spl0_157 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f1025,plain,
( ~ c0_1(a101)
| ~ c2_1(a101)
| ~ spl0_4
| ~ spl0_145 ),
inference(resolution,[],[f211,f808]) ).
fof(f1031,plain,
( ~ c2_1(a101)
| ~ spl0_4
| ~ spl0_145
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f1025,f817]) ).
fof(f1036,plain,
( ~ spl0_157
| ~ spl0_2
| ~ spl0_8
| spl0_66 ),
inference(avatar_split_clause,[],[f995,f468,f224,f204,f960]) ).
fof(f1062,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f221,f989]) ).
fof(f1078,plain,
( c2_1(a130)
| c0_1(a130)
| ~ spl0_12
| ~ spl0_136 ),
inference(resolution,[],[f239,f772]) ).
fof(f1081,plain,
( c0_1(a130)
| ~ spl0_12
| spl0_95
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f1078,f603]) ).
fof(f1111,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f329,f1062]) ).
fof(f1146,plain,
( ~ c0_1(a101)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_37
| ~ spl0_145 ),
inference(resolution,[],[f1111,f808]) ).
fof(f1156,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_37
| ~ spl0_145
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f1146,f817]) ).
fof(f1157,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_37
| ~ spl0_145
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1159,plain,
( ~ spl0_114
| ~ spl0_4
| ~ spl0_22
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f923,f679,f272,f210,f683]) ).
fof(f1203,plain,
( ~ c0_1(a98)
| c2_1(a98)
| ~ spl0_17
| spl0_65 ),
inference(resolution,[],[f256,f465]) ).
fof(f1204,plain,
( ~ c0_1(a97)
| c2_1(a97)
| ~ spl0_17
| spl0_63 ),
inference(resolution,[],[f256,f456]) ).
fof(f1206,plain,
( ~ c0_1(a132)
| c2_1(a132)
| ~ spl0_17
| spl0_96 ),
inference(resolution,[],[f256,f608]) ).
fof(f1209,plain,
( c2_1(a98)
| ~ spl0_17
| spl0_65
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1203,f672]) ).
fof(f1219,plain,
( spl0_157
| ~ spl0_17
| spl0_65
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1209,f671,f464,f255,f960]) ).
fof(f1238,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_4
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f259,f907]) ).
fof(f1265,definition,
( spl0_158
<=> c2_1(a112) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1285,plain,
( c3_1(a98)
| ~ c0_1(a98)
| ~ spl0_16
| spl0_66 ),
inference(resolution,[],[f253,f469]) ).
fof(f1287,plain,
( c3_1(a132)
| ~ c0_1(a132)
| ~ spl0_16
| spl0_98 ),
inference(resolution,[],[f253,f616]) ).
fof(f1288,plain,
( ~ c0_1(a132)
| ~ spl0_16
| spl0_96
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f1287,f608]) ).
fof(f1289,plain,
( ~ c0_1(a98)
| ~ spl0_16
| spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f1285,f465]) ).
fof(f1293,plain,
( $false
| ~ spl0_16
| spl0_65
| spl0_66
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1289,f672]) ).
fof(f1294,plain,
( ~ spl0_16
| spl0_65
| spl0_66
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1334,plain,
( c2_1(a101)
| ~ c3_1(a101)
| ~ spl0_18
| ~ spl0_146 ),
inference(resolution,[],[f259,f813]) ).
fof(f1336,plain,
( c2_1(a130)
| ~ c3_1(a130)
| ~ spl0_18
| ~ spl0_136 ),
inference(resolution,[],[f259,f772]) ).
fof(f1344,plain,
( ~ c3_1(a130)
| ~ spl0_18
| spl0_95
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f1336,f603]) ).
fof(f1368,plain,
( ~ c2_1(a112)
| ~ spl0_4
| ~ spl0_22
| ~ spl0_126 ),
inference(resolution,[],[f907,f732]) ).
fof(f1370,plain,
( ~ c2_1(a106)
| ~ spl0_4
| ~ spl0_22
| ~ spl0_120 ),
inference(resolution,[],[f907,f708]) ).
fof(f1372,plain,
( $false
| ~ spl0_4
| ~ spl0_22
| ~ spl0_120
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f1370,f712]) ).
fof(f1373,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_120
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1432,plain,
( c2_1(a173)
| c0_1(a173)
| ~ spl0_12
| ~ spl0_142 ),
inference(resolution,[],[f239,f796]) ).
fof(f1441,definition,
( spl0_162
<=> c2_1(a173) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1532,plain,
( ! [X2] :
( c1_1(X2)
| ~ c2_1(X2) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f246,f978]) ).
fof(f1582,definition,
( spl0_164
<=> c3_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1583,plain,
( ~ c3_1(a137)
| spl0_164 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1598,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f273,f978]) ).
fof(f1605,plain,
( ~ c2_1(a100)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_22
| ~ spl0_113 ),
inference(resolution,[],[f1598,f680]) ).
fof(f1607,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_22
| ~ spl0_113
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f1605,f684]) ).
fof(f1608,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_22
| ~ spl0_113
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f1607]) ).
fof(f1614,plain,
( ~ c0_1(a132)
| ~ spl0_17
| spl0_96
| spl0_97 ),
inference(forward_subsumption_resolution,[],[f1206,f612]) ).
fof(f1724,plain,
( ~ c0_1(a166)
| ~ c2_1(a166)
| ~ spl0_4
| ~ spl0_151 ),
inference(resolution,[],[f211,f834]) ).
fof(f1737,plain,
( ~ c2_1(a166)
| ~ spl0_4
| ~ spl0_151
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1724,f843]) ).
fof(f1739,plain,
( $false
| ~ spl0_4
| ~ spl0_151
| ~ spl0_152
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1737,f839]) ).
fof(f1740,plain,
( ~ spl0_4
| ~ spl0_151
| ~ spl0_152
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1746,plain,
( c0_1(a173)
| ~ c2_1(a173)
| ~ spl0_5
| ~ spl0_142 ),
inference(resolution,[],[f215,f796]) ).
fof(f1750,plain,
( c0_1(a108)
| ~ c2_1(a108)
| ~ spl0_5
| ~ spl0_124 ),
inference(resolution,[],[f215,f724]) ).
fof(f1751,plain,
( c0_1(a105)
| ~ c2_1(a105)
| ~ spl0_5
| ~ spl0_119 ),
inference(resolution,[],[f215,f704]) ).
fof(f1754,plain,
( c0_1(a105)
| ~ spl0_5
| ~ spl0_118
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f1751,f700]) ).
fof(f1755,plain,
( ~ c2_1(a108)
| ~ spl0_5
| spl0_77
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1750,f521]) ).
fof(f1758,plain,
( $false
| ~ spl0_5
| spl0_77
| ~ spl0_123
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1755,f720]) ).
fof(f1759,plain,
( ~ spl0_5
| spl0_77
| ~ spl0_123
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f1758]) ).
fof(f1763,plain,
( c2_1(a173)
| ~ spl0_12
| spl0_107
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f1432,f657]) ).
fof(f1775,plain,
( spl0_162
| ~ spl0_12
| spl0_107
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1763,f795,f656,f238,f1441]) ).
fof(f1786,plain,
( c2_1(a101)
| ~ c0_1(a101)
| ~ spl0_6
| ~ spl0_146 ),
inference(resolution,[],[f218,f813]) ).
fof(f1788,plain,
( c2_1(a130)
| ~ c0_1(a130)
| ~ spl0_6
| ~ spl0_136 ),
inference(resolution,[],[f218,f772]) ).
fof(f1797,plain,
( ~ c0_1(a130)
| ~ spl0_6
| spl0_95
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f1788,f603]) ).
fof(f1801,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| spl0_95
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f1797,f1081]) ).
fof(f1802,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_95
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f1801]) ).
fof(f1835,plain,
( ~ c3_1(a137)
| ~ c2_1(a137)
| ~ spl0_9
| ~ spl0_149 ),
inference(resolution,[],[f228,f826]) ).
fof(f1836,plain,
( ~ c3_1(a101)
| ~ c2_1(a101)
| ~ spl0_9
| ~ spl0_146 ),
inference(resolution,[],[f228,f813]) ).
fof(f1878,plain,
( c2_1(a112)
| c0_1(a112)
| ~ spl0_19
| ~ spl0_126 ),
inference(resolution,[],[f263,f732]) ).
fof(f1885,plain,
( c2_1(a112)
| ~ spl0_19
| spl0_81
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f1878,f539]) ).
fof(f1887,plain,
( spl0_158
| ~ spl0_19
| spl0_81
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1885,f731,f538,f262,f1265]) ).
fof(f1917,plain,
( ~ c0_1(a137)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_148 ),
inference(resolution,[],[f821,f941]) ).
fof(f1918,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_148
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1917,f830]) ).
fof(f1919,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_148
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f1918]) ).
fof(f1943,plain,
( c2_1(a112)
| ~ c3_1(a112)
| ~ spl0_13
| spl0_80 ),
inference(resolution,[],[f242,f535]) ).
fof(f1980,plain,
( c0_1(a132)
| c2_1(a132)
| ~ spl0_21
| spl0_96 ),
inference(resolution,[],[f270,f608]) ).
fof(f1981,plain,
( c0_1(a121)
| c2_1(a121)
| ~ spl0_21
| spl0_87 ),
inference(resolution,[],[f270,f567]) ).
fof(f1982,plain,
( c2_1(a121)
| ~ spl0_21
| spl0_87
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f1981,f575]) ).
fof(f1983,plain,
( c2_1(a132)
| ~ spl0_16
| ~ spl0_21
| spl0_96
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f1980,f1288]) ).
fof(f1989,plain,
( $false
| ~ spl0_21
| spl0_87
| spl0_88
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f1982,f571]) ).
fof(f1990,plain,
( ~ spl0_21
| spl0_87
| spl0_88
| spl0_89 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f2006,definition,
( spl0_168
<=> c2_1(a101) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f2008,plain,
( ~ spl0_145
| spl0_168
| ~ spl0_18
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1334,f812,f258,f2006,f807]) ).
fof(f2014,plain,
( ~ spl0_158
| ~ spl0_4
| ~ spl0_22
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1368,f731,f272,f210,f1265]) ).
fof(f2017,plain,
( ~ spl0_168
| ~ spl0_145
| ~ spl0_9
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1836,f812,f227,f807,f2006]) ).
fof(f2045,plain,
( ~ c3_1(a130)
| ~ spl0_4
| ~ spl0_18
| ~ spl0_22
| ~ spl0_136 ),
inference(resolution,[],[f1238,f772]) ).
fof(f2051,plain,
( ~ spl0_135
| ~ spl0_4
| ~ spl0_18
| ~ spl0_22
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2045,f771,f272,f258,f210,f767]) ).
fof(f2092,plain,
( ~ c0_1(a129)
| ~ spl0_1
| spl0_94
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f1005,f760]) ).
fof(f2114,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f329,f211]) ).
fof(f2117,plain,
( ~ spl0_134
| ~ spl0_1
| spl0_94
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2092,f759,f597,f201,f763]) ).
fof(f2119,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f218,f221]) ).
fof(f2120,plain,
( c2_1(a101)
| ~ spl0_6
| ~ spl0_146
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f1786,f817]) ).
fof(f2137,plain,
( spl0_168
| ~ spl0_6
| ~ spl0_146
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2120,f816,f812,f217,f2006]) ).
fof(f2145,plain,
( ~ c0_1(a138)
| ~ spl0_4
| ~ spl0_37
| ~ spl0_138 ),
inference(resolution,[],[f2114,f780]) ).
fof(f2149,plain,
( $false
| ~ spl0_4
| ~ spl0_37
| ~ spl0_138
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f2145,f784]) ).
fof(f2150,plain,
( ~ spl0_4
| ~ spl0_37
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f2149]) ).
fof(f2155,plain,
( ~ c0_1(a116)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_129 ),
inference(resolution,[],[f2119,f744]) ).
fof(f2161,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f2155,f748]) ).
fof(f2162,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_129
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f2161]) ).
fof(f2164,plain,
( ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2) )
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f215,f221]) ).
fof(f2180,plain,
( c2_1(a132)
| ~ spl0_10
| ~ spl0_21
| spl0_96
| spl0_97
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f1980,f935]) ).
fof(f2187,plain,
( $false
| ~ spl0_10
| ~ spl0_21
| spl0_96
| spl0_97
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f2180,f612]) ).
fof(f2188,plain,
( ~ spl0_10
| ~ spl0_21
| spl0_96
| spl0_97
| spl0_98 ),
inference(avatar_contradiction_clause,[],[f2187]) ).
fof(f2195,plain,
( ~ spl0_162
| spl0_107
| ~ spl0_5
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1746,f795,f214,f656,f1441]) ).
fof(f2251,plain,
( ~ c2_1(a105)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_119 ),
inference(resolution,[],[f2164,f704]) ).
fof(f2256,definition,
( spl0_170
<=> c0_1(a105) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f2261,plain,
( ~ spl0_118
| ~ spl0_5
| ~ spl0_7
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2251,f703,f220,f214,f699]) ).
fof(f2279,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f205,f228]) ).
fof(f2285,plain,
( ~ c2_1(a112)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_126 ),
inference(resolution,[],[f2279,f732]) ).
fof(f2287,plain,
( ~ c2_1(a106)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_120 ),
inference(resolution,[],[f2279,f708]) ).
fof(f2288,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_120
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f2287,f712]) ).
fof(f2289,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_120
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f2288]) ).
fof(f2291,plain,
( ~ spl0_158
| ~ spl0_2
| ~ spl0_9
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2285,f731,f227,f204,f1265]) ).
fof(f2328,plain,
( spl0_64
| ~ spl0_110
| ~ spl0_17
| spl0_63 ),
inference(avatar_split_clause,[],[f1204,f455,f255,f667,f459]) ).
fof(f2336,plain,
( ~ spl0_126
| spl0_158
| ~ spl0_13
| spl0_80 ),
inference(avatar_split_clause,[],[f1943,f534,f241,f1265,f731]) ).
fof(f2422,plain,
( c3_1(a110)
| c2_1(a110)
| ~ spl0_27
| ~ spl0_125 ),
inference(resolution,[],[f290,f728]) ).
fof(f2426,plain,
( c2_1(a110)
| ~ spl0_27
| spl0_78
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f2422,f526]) ).
fof(f2430,plain,
( $false
| ~ spl0_27
| spl0_78
| spl0_79
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f2426,f530]) ).
fof(f2431,plain,
( ~ spl0_27
| spl0_78
| spl0_79
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2432,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f293,f1598]) ).
fof(f2433,plain,
( ! [X0] : ~ c2_1(X0)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2432,f1532]) ).
fof(f2435,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_132 ),
inference(resolution,[],[f2433,f756]) ).
fof(f2436,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_123 ),
inference(resolution,[],[f2433,f720]) ).
fof(f2438,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_117 ),
inference(resolution,[],[f2433,f696]) ).
fof(f2443,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_117 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2445,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
fof(f2446,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2449,plain,
( ~ spl0_168
| ~ spl0_4
| ~ spl0_145
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1031,f816,f807,f210,f2006]) ).
fof(f2454,plain,
( spl0_170
| ~ spl0_5
| ~ spl0_118
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1754,f703,f699,f214,f2256]) ).
fof(f2458,plain,
( ~ spl0_148
| ~ spl0_164
| ~ spl0_9
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1835,f825,f227,f1582,f820]) ).
fof(f2459,plain,
( ~ spl0_168
| ~ spl0_145
| ~ spl0_9
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1836,f812,f227,f807,f2006]) ).
fof(f2467,definition,
( spl0_171
<=> c0_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f2469,plain,
( spl0_97
| spl0_171
| ~ spl0_21
| spl0_96 ),
inference(avatar_split_clause,[],[f1980,f607,f269,f2467,f611]) ).
fof(f2471,plain,
( spl0_97
| ~ spl0_16
| ~ spl0_21
| spl0_96
| spl0_98 ),
inference(avatar_split_clause,[],[f1983,f615,f607,f269,f252,f611]) ).
fof(f2513,plain,
( c2_1(a122)
| ~ c0_1(a122)
| ~ spl0_10
| spl0_91 ),
inference(resolution,[],[f232,f584]) ).
fof(f2519,plain,
( ~ c0_1(a122)
| ~ spl0_10
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f2513,f580]) ).
fof(f2521,plain,
( $false
| ~ spl0_10
| spl0_90
| spl0_91
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2519,f752]) ).
fof(f2522,plain,
( ~ spl0_10
| spl0_90
| spl0_91
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f2521]) ).
fof(f2528,plain,
( ~ spl0_131
| ~ spl0_10
| spl0_90
| spl0_91 ),
inference(avatar_split_clause,[],[f2519,f583,f579,f231,f751]) ).
fof(f2540,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2) )
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f246,f215]) ).
fof(f2543,plain,
( c0_1(a124)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_132 ),
inference(resolution,[],[f2540,f756]) ).
fof(f2545,plain,
( c0_1(a106)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_121 ),
inference(resolution,[],[f2540,f712]) ).
fof(f2550,plain,
( c0_1(a99)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_112 ),
inference(resolution,[],[f2540,f676]) ).
fof(f2554,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| spl0_68
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f2550,f478]) ).
fof(f2555,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_68
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f2554]) ).
fof(f2561,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| spl0_74
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f2545,f507]) ).
fof(f2562,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_74
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f2561]) ).
fof(f2565,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_132
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f2543,f938]) ).
fof(f2566,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_132
| spl0_156 ),
inference(avatar_contradiction_clause,[],[f2565]) ).
fof(f2574,plain,
( ~ spl0_171
| ~ spl0_17
| spl0_96
| spl0_97 ),
inference(avatar_split_clause,[],[f1614,f611,f607,f255,f2467]) ).
fof(f2611,plain,
( c0_1(a145)
| ~ c3_1(a145)
| ~ spl0_20
| ~ spl0_141 ),
inference(resolution,[],[f266,f792]) ).
fof(f2618,plain,
( ~ c3_1(a145)
| ~ spl0_20
| spl0_102
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f2611,f635]) ).
fof(f2619,plain,
( $false
| ~ spl0_20
| spl0_102
| ~ spl0_140
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f2618,f788]) ).
fof(f2620,plain,
( ~ spl0_20
| spl0_102
| ~ spl0_140
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f2619]) ).
fof(f2637,plain,
( c3_1(a137)
| ~ c0_1(a137)
| ~ spl0_25
| ~ spl0_149 ),
inference(resolution,[],[f283,f826]) ).
fof(f2644,plain,
( c3_1(a105)
| ~ c0_1(a105)
| ~ spl0_25
| ~ spl0_119 ),
inference(resolution,[],[f283,f704]) ).
fof(f2650,plain,
( ~ c0_1(a137)
| ~ spl0_25
| ~ spl0_149
| spl0_164 ),
inference(forward_subsumption_resolution,[],[f2637,f1583]) ).
fof(f2652,plain,
( $false
| ~ spl0_25
| ~ spl0_149
| ~ spl0_150
| spl0_164 ),
inference(forward_subsumption_resolution,[],[f2650,f830]) ).
fof(f2653,plain,
( ~ spl0_25
| ~ spl0_149
| ~ spl0_150
| spl0_164 ),
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2654,plain,
( ~ c2_1(a98)
| ~ spl0_1
| spl0_66
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1009,f672]) ).
fof(f2662,plain,
( ~ spl0_135
| ~ spl0_18
| spl0_95
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1344,f771,f602,f258,f767]) ).
fof(f2678,plain,
( ~ spl0_170
| spl0_73
| ~ spl0_25
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2644,f703,f282,f501,f2256]) ).
fof(f2686,plain,
( ~ spl0_157
| ~ spl0_1
| spl0_66
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f2654,f671,f468,f201,f960]) ).
fof(f2704,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_1
| ~ spl0_25 ),
inference(resolution,[],[f202,f283]) ).
fof(f2716,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) )
| ~ spl0_1
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f2704]) ).
fof(f2717,plain,
( spl0_11
| ~ spl0_1
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f2716,f282,f201,f234]) ).
fof(f2724,plain,
( ~ c0_1(a103)
| ~ c2_1(a103)
| ~ spl0_11
| spl0_70 ),
inference(resolution,[],[f235,f488]) ).
fof(f2732,plain,
( ~ c2_1(a103)
| ~ spl0_11
| spl0_70
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f2724,f692]) ).
fof(f2734,plain,
( $false
| ~ spl0_11
| spl0_70
| ~ spl0_115
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f2732,f688]) ).
fof(f2735,plain,
( ~ spl0_11
| spl0_70
| ~ spl0_115
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f2734]) ).
fof(f2752,plain,
( c0_1(a106)
| ~ c2_1(a106)
| ~ spl0_22
| ~ spl0_120 ),
inference(resolution,[],[f273,f708]) ).
fof(f2753,plain,
( ~ c2_1(a106)
| ~ spl0_22
| spl0_74
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f2752,f507]) ).
fof(f2756,plain,
( $false
| ~ spl0_22
| spl0_74
| ~ spl0_120
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f2753,f712]) ).
fof(f2757,plain,
( ~ spl0_22
| spl0_74
| ~ spl0_120
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f2756]) ).
fof(f2787,plain,
( c3_1(a98)
| c2_1(a98)
| ~ spl0_26
| spl0_66 ),
inference(resolution,[],[f287,f469]) ).
fof(f2789,plain,
( c3_1(a132)
| c2_1(a132)
| ~ spl0_26
| spl0_98 ),
inference(resolution,[],[f287,f616]) ).
fof(f2791,plain,
( c2_1(a132)
| ~ spl0_26
| spl0_96
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f2789,f608]) ).
fof(f2793,plain,
( c2_1(a98)
| ~ spl0_26
| spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f2787,f465]) ).
fof(f2797,plain,
( $false
| ~ spl0_26
| spl0_96
| spl0_97
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f2791,f612]) ).
fof(f2798,plain,
( ~ spl0_26
| spl0_96
| spl0_97
| spl0_98 ),
inference(avatar_contradiction_clause,[],[f2797]) ).
fof(f2799,plain,
( $false
| ~ spl0_26
| spl0_65
| spl0_66
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f2793,f1019]) ).
fof(f2800,plain,
( ~ spl0_26
| spl0_65
| spl0_66
| spl0_157 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f212]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f222]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_3
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f229]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f236]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_9
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f243]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_16
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f260]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_13
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f267]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_6
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f274]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_26
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f294]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_7
| spl0_18
| spl0_32 ),
inference(sat_conversion,[],[f310]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_4
| spl0_22
| spl0_33 ),
inference(sat_conversion,[],[f314]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_11
| spl0_18
| spl0_34 ),
inference(sat_conversion,[],[f318]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_3
| spl0_25
| spl0_33 ),
inference(sat_conversion,[],[f323]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_5
| spl0_11
| spl0_40 ),
inference(sat_conversion,[],[f341]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_5
| spl0_22
| spl0_41 ),
inference(sat_conversion,[],[f345]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_6
| spl0_13
| spl0_42 ),
inference(sat_conversion,[],[f349]) ).
cnf(s30,plain,
( ~ spl0_3
| spl0_5
| spl0_12
| spl0_46 ),
inference(sat_conversion,[],[f367]) ).
cnf(s31,plain,
( ~ spl0_3
| spl0_5
| spl0_14
| spl0_47 ),
inference(sat_conversion,[],[f371]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_8
| spl0_10
| spl0_48 ),
inference(sat_conversion,[],[f375]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_11
| spl0_26
| spl0_41 ),
inference(sat_conversion,[],[f376]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_22
| spl0_26
| spl0_49 ),
inference(sat_conversion,[],[f380]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_18
| spl0_21
| spl0_45 ),
inference(sat_conversion,[],[f381]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_8
| spl0_14
| spl0_33 ),
inference(sat_conversion,[],[f386]) ).
cnf(s40,plain,
( ~ spl0_3
| spl0_4
| spl0_33
| spl0_52 ),
inference(sat_conversion,[],[f395]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_7
| spl0_51
| spl0_53 ),
inference(sat_conversion,[],[f399]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_11
| spl0_40
| spl0_54 ),
inference(sat_conversion,[],[f403]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_25
| spl0_35
| spl0_51 ),
inference(sat_conversion,[],[f405]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_37
| spl0_48
| spl0_55 ),
inference(sat_conversion,[],[f409]) ).
cnf(s46,plain,
( ~ spl0_3
| spl0_6
| spl0_43
| spl0_55 ),
inference(sat_conversion,[],[f410]) ).
cnf(s47,plain,
( spl0_2
| ~ spl0_3
| spl0_47
| spl0_49 ),
inference(sat_conversion,[],[f411]) ).
cnf(s48,plain,
( spl0_1
| ~ spl0_3
| spl0_48
| spl0_55 ),
inference(sat_conversion,[],[f412]) ).
cnf(s49,plain,
( ~ spl0_3
| spl0_22
| spl0_49
| spl0_52 ),
inference(sat_conversion,[],[f413]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_25
| spl0_56 ),
inference(sat_conversion,[],[f417]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_25
| spl0_44 ),
inference(sat_conversion,[],[f418]) ).
cnf(s54,plain,
( ~ spl0_3
| spl0_8
| spl0_49
| spl0_57 ),
inference(sat_conversion,[],[f424]) ).
cnf(s55,plain,
( ~ spl0_3
| spl0_8
| spl0_33
| spl0_35 ),
inference(sat_conversion,[],[f425]) ).
cnf(s63,plain,
( ~ spl0_3
| spl0_14
| spl0_55
| spl0_56 ),
inference(sat_conversion,[],[f448]) ).
cnf(s65,plain,
( ~ spl0_3
| spl0_26
| spl0_35
| spl0_38 ),
inference(sat_conversion,[],[f450]) ).
cnf(s66,plain,
( ~ spl0_3
| spl0_21
| spl0_34
| spl0_61 ),
inference(sat_conversion,[],[f451]) ).
cnf(s68,plain,
( ~ spl0_44
| ~ spl0_63 ),
inference(sat_conversion,[],[f457]) ).
cnf(s69,plain,
( ~ spl0_44
| ~ spl0_64 ),
inference(sat_conversion,[],[f461]) ).
cnf(s70,plain,
( ~ spl0_33
| ~ spl0_65 ),
inference(sat_conversion,[],[f466]) ).
cnf(s71,plain,
( ~ spl0_33
| ~ spl0_66 ),
inference(sat_conversion,[],[f470]) ).
cnf(s72,plain,
( ~ spl0_32
| ~ spl0_67 ),
inference(sat_conversion,[],[f475]) ).
cnf(s73,plain,
( ~ spl0_32
| ~ spl0_68 ),
inference(sat_conversion,[],[f479]) ).
cnf(s75,plain,
( ~ spl0_48
| ~ spl0_70 ),
inference(sat_conversion,[],[f489]) ).
cnf(s78,plain,
( ~ spl0_56
| ~ spl0_73 ),
inference(sat_conversion,[],[f503]) ).
cnf(s79,plain,
( ~ spl0_55
| ~ spl0_74 ),
inference(sat_conversion,[],[f508]) ).
cnf(s82,plain,
( ~ spl0_52
| ~ spl0_77 ),
inference(sat_conversion,[],[f522]) ).
cnf(s83,plain,
( ~ spl0_45
| ~ spl0_78 ),
inference(sat_conversion,[],[f527]) ).
cnf(s84,plain,
( ~ spl0_45
| ~ spl0_79 ),
inference(sat_conversion,[],[f531]) ).
cnf(s85,plain,
( ~ spl0_34
| ~ spl0_80 ),
inference(sat_conversion,[],[f536]) ).
cnf(s86,plain,
( ~ spl0_34
| ~ spl0_81 ),
inference(sat_conversion,[],[f540]) ).
cnf(s87,plain,
( ~ spl0_46
| ~ spl0_82 ),
inference(sat_conversion,[],[f545]) ).
cnf(s92,plain,
( ~ spl0_41
| ~ spl0_87 ),
inference(sat_conversion,[],[f568]) ).
cnf(s93,plain,
( ~ spl0_41
| ~ spl0_88 ),
inference(sat_conversion,[],[f572]) ).
cnf(s94,plain,
( ~ spl0_41
| ~ spl0_89 ),
inference(sat_conversion,[],[f576]) ).
cnf(s95,plain,
( ~ spl0_40
| ~ spl0_90 ),
inference(sat_conversion,[],[f581]) ).
cnf(s96,plain,
( ~ spl0_40
| ~ spl0_91 ),
inference(sat_conversion,[],[f585]) ).
cnf(s97,plain,
( ~ spl0_49
| ~ spl0_92 ),
inference(sat_conversion,[],[f590]) ).
cnf(s98,plain,
( ~ spl0_49
| ~ spl0_93 ),
inference(sat_conversion,[],[f594]) ).
cnf(s99,plain,
( ~ spl0_38
| ~ spl0_94 ),
inference(sat_conversion,[],[f599]) ).
cnf(s100,plain,
( ~ spl0_35
| ~ spl0_95 ),
inference(sat_conversion,[],[f604]) ).
cnf(s101,plain,
( ~ spl0_43
| ~ spl0_96 ),
inference(sat_conversion,[],[f609]) ).
cnf(s102,plain,
( ~ spl0_43
| ~ spl0_97 ),
inference(sat_conversion,[],[f613]) ).
cnf(s103,plain,
( ~ spl0_43
| ~ spl0_98 ),
inference(sat_conversion,[],[f617]) ).
cnf(s107,plain,
( ~ spl0_57
| ~ spl0_102 ),
inference(sat_conversion,[],[f636]) ).
cnf(s112,plain,
( ~ spl0_54
| ~ spl0_107 ),
inference(sat_conversion,[],[f658]) ).
cnf(s114,plain,
( ~ spl0_44
| spl0_110 ),
inference(sat_conversion,[],[f669]) ).
cnf(s115,plain,
( ~ spl0_33
| spl0_111 ),
inference(sat_conversion,[],[f673]) ).
cnf(s116,plain,
( ~ spl0_32
| spl0_112 ),
inference(sat_conversion,[],[f677]) ).
cnf(s117,plain,
( ~ spl0_47
| spl0_113 ),
inference(sat_conversion,[],[f681]) ).
cnf(s118,plain,
( ~ spl0_47
| spl0_114 ),
inference(sat_conversion,[],[f685]) ).
cnf(s119,plain,
( ~ spl0_48
| spl0_115 ),
inference(sat_conversion,[],[f689]) ).
cnf(s120,plain,
( ~ spl0_48
| spl0_116 ),
inference(sat_conversion,[],[f693]) ).
cnf(s121,plain,
( ~ spl0_61
| spl0_117 ),
inference(sat_conversion,[],[f697]) ).
cnf(s122,plain,
( ~ spl0_56
| spl0_118 ),
inference(sat_conversion,[],[f701]) ).
cnf(s123,plain,
( ~ spl0_56
| spl0_119 ),
inference(sat_conversion,[],[f705]) ).
cnf(s124,plain,
( ~ spl0_55
| spl0_120 ),
inference(sat_conversion,[],[f709]) ).
cnf(s125,plain,
( ~ spl0_55
| spl0_121 ),
inference(sat_conversion,[],[f713]) ).
cnf(s127,plain,
( ~ spl0_52
| spl0_123 ),
inference(sat_conversion,[],[f721]) ).
cnf(s128,plain,
( ~ spl0_52
| spl0_124 ),
inference(sat_conversion,[],[f725]) ).
cnf(s129,plain,
( ~ spl0_45
| spl0_125 ),
inference(sat_conversion,[],[f729]) ).
cnf(s130,plain,
( ~ spl0_34
| spl0_126 ),
inference(sat_conversion,[],[f733]) ).
cnf(s131,plain,
( ~ spl0_46
| spl0_127 ),
inference(sat_conversion,[],[f737]) ).
cnf(s132,plain,
( ~ spl0_46
| spl0_128 ),
inference(sat_conversion,[],[f741]) ).
cnf(s133,plain,
( ~ spl0_62
| spl0_129 ),
inference(sat_conversion,[],[f745]) ).
cnf(s134,plain,
( ~ spl0_62
| spl0_130 ),
inference(sat_conversion,[],[f749]) ).
cnf(s135,plain,
( ~ spl0_40
| spl0_131 ),
inference(sat_conversion,[],[f753]) ).
cnf(s136,plain,
( ~ spl0_49
| spl0_132 ),
inference(sat_conversion,[],[f757]) ).
cnf(s137,plain,
( ~ spl0_38
| spl0_133 ),
inference(sat_conversion,[],[f761]) ).
cnf(s138,plain,
( ~ spl0_38
| spl0_134 ),
inference(sat_conversion,[],[f765]) ).
cnf(s139,plain,
( ~ spl0_35
| spl0_135 ),
inference(sat_conversion,[],[f769]) ).
cnf(s140,plain,
( ~ spl0_35
| spl0_136 ),
inference(sat_conversion,[],[f773]) ).
cnf(s142,plain,
( ~ spl0_59
| spl0_138 ),
inference(sat_conversion,[],[f781]) ).
cnf(s143,plain,
( ~ spl0_59
| spl0_139 ),
inference(sat_conversion,[],[f785]) ).
cnf(s144,plain,
( ~ spl0_57
| spl0_140 ),
inference(sat_conversion,[],[f789]) ).
cnf(s145,plain,
( ~ spl0_57
| spl0_141 ),
inference(sat_conversion,[],[f793]) ).
cnf(s146,plain,
( ~ spl0_54
| spl0_142 ),
inference(sat_conversion,[],[f797]) ).
cnf(s149,plain,
( ~ spl0_51
| spl0_145 ),
inference(sat_conversion,[],[f810]) ).
cnf(s150,plain,
( ~ spl0_51
| spl0_146 ),
inference(sat_conversion,[],[f814]) ).
cnf(s151,plain,
( ~ spl0_51
| spl0_147 ),
inference(sat_conversion,[],[f818]) ).
cnf(s152,plain,
( ~ spl0_42
| spl0_148 ),
inference(sat_conversion,[],[f823]) ).
cnf(s153,plain,
( ~ spl0_42
| spl0_149 ),
inference(sat_conversion,[],[f827]) ).
cnf(s154,plain,
( ~ spl0_42
| spl0_150 ),
inference(sat_conversion,[],[f831]) ).
cnf(s155,plain,
( ~ spl0_53
| spl0_151 ),
inference(sat_conversion,[],[f836]) ).
cnf(s156,plain,
( ~ spl0_53
| spl0_152 ),
inference(sat_conversion,[],[f840]) ).
cnf(s157,plain,
( ~ spl0_53
| spl0_153 ),
inference(sat_conversion,[],[f844]) ).
cnf(s160,plain,
( spl0_40
| spl0_41
| spl0_56 ),
inference(sat_conversion,[],[f847]) ).
cnf(s164,plain,
( spl0_35
| spl0_38
| spl0_49 ),
inference(sat_conversion,[],[f852]) ).
cnf(s165,plain,
( spl0_38
| spl0_43
| spl0_48 ),
inference(sat_conversion,[],[f853]) ).
cnf(s167,plain,
( spl0_32
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f855]) ).
cnf(s168,plain,
( spl0_42
| spl0_48
| spl0_59 ),
inference(sat_conversion,[],[f856]) ).
cnf(s173,plain,
( spl0_3
| ~ spl0_48 ),
inference(sat_conversion,[],[f862]) ).
cnf(s191,plain,
( spl0_3
| ~ spl0_59 ),
inference(sat_conversion,[],[f880]) ).
cnf(s197,plain,
( spl0_3
| ~ spl0_42 ),
inference(sat_conversion,[],[f886]) ).
cnf(s199,plain,
( spl0_46
| spl0_62 ),
inference(sat_conversion,[],[f888]) ).
cnf(s200,plain,
( ~ spl0_6
| spl0_82
| ~ spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f893]) ).
cnf(s201,plain,
( ~ spl0_8
| spl0_92
| spl0_93
| ~ spl0_132 ),
inference(sat_conversion,[],[f906]) ).
cnf(s208,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f950]) ).
cnf(s210,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f954]) ).
cnf(s212,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_66
| ~ spl0_111 ),
inference(sat_conversion,[],[f973]) ).
cnf(s214,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_93
| ~ spl0_156 ),
inference(sat_conversion,[],[f975]) ).
cnf(s216,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f986]) ).
cnf(s218,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_67
| ~ spl0_112 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s222,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_66
| ~ spl0_111 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s227,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_66
| ~ spl0_157 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s254,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_37
| ~ spl0_145
| ~ spl0_147 ),
inference(sat_conversion,[],[f1157]) ).
cnf(s256,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_113
| ~ spl0_114 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s267,plain,
( ~ spl0_17
| spl0_65
| ~ spl0_111
| spl0_157 ),
inference(sat_conversion,[],[f1219]) ).
cnf(s288,plain,
( ~ spl0_16
| spl0_65
| spl0_66
| ~ spl0_111 ),
inference(sat_conversion,[],[f1294]) ).
cnf(s301,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s344,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_22
| ~ spl0_113
| ~ spl0_114 ),
inference(sat_conversion,[],[f1608]) ).
cnf(s378,plain,
( ~ spl0_4
| ~ spl0_151
| ~ spl0_152
| ~ spl0_153 ),
inference(sat_conversion,[],[f1740]) ).
cnf(s380,plain,
( ~ spl0_5
| spl0_77
| ~ spl0_123
| ~ spl0_124 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s385,plain,
( ~ spl0_12
| spl0_107
| ~ spl0_142
| spl0_162 ),
inference(sat_conversion,[],[f1775]) ).
cnf(s387,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_95
| ~ spl0_136 ),
inference(sat_conversion,[],[f1802]) ).
cnf(s397,plain,
( ~ spl0_19
| spl0_81
| ~ spl0_126
| spl0_158 ),
inference(sat_conversion,[],[f1887]) ).
cnf(s407,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_148
| ~ spl0_150 ),
inference(sat_conversion,[],[f1919]) ).
cnf(s419,plain,
( ~ spl0_21
| spl0_87
| spl0_88
| spl0_89 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s428,plain,
( ~ spl0_18
| ~ spl0_145
| ~ spl0_146
| spl0_168 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s432,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_126
| ~ spl0_158 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s435,plain,
( ~ spl0_9
| ~ spl0_145
| ~ spl0_146
| ~ spl0_168 ),
inference(sat_conversion,[],[f2017]) ).
cnf(s444,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_22
| ~ spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f2051]) ).
cnf(s480,plain,
( ~ spl0_1
| spl0_94
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s498,plain,
( ~ spl0_6
| ~ spl0_146
| ~ spl0_147
| spl0_168 ),
inference(sat_conversion,[],[f2137]) ).
cnf(s504,plain,
( ~ spl0_4
| ~ spl0_37
| ~ spl0_138
| ~ spl0_139 ),
inference(sat_conversion,[],[f2150]) ).
cnf(s507,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f2162]) ).
cnf(s523,plain,
( ~ spl0_10
| ~ spl0_21
| spl0_96
| spl0_97
| spl0_98 ),
inference(sat_conversion,[],[f2188]) ).
cnf(s529,plain,
( ~ spl0_5
| spl0_107
| ~ spl0_142
| ~ spl0_162 ),
inference(sat_conversion,[],[f2195]) ).
cnf(s558,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_118
| ~ spl0_119 ),
inference(sat_conversion,[],[f2261]) ).
cnf(s564,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s566,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_126
| ~ spl0_158 ),
inference(sat_conversion,[],[f2291]) ).
cnf(s590,plain,
( ~ spl0_17
| spl0_63
| spl0_64
| ~ spl0_110 ),
inference(sat_conversion,[],[f2328]) ).
cnf(s603,plain,
( ~ spl0_13
| spl0_80
| ~ spl0_126
| spl0_158 ),
inference(sat_conversion,[],[f2336]) ).
cnf(s626,plain,
( ~ spl0_27
| spl0_78
| spl0_79
| ~ spl0_125 ),
inference(sat_conversion,[],[f2431]) ).
cnf(s629,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_117 ),
inference(sat_conversion,[],[f2443]) ).
cnf(s631,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_123 ),
inference(sat_conversion,[],[f2445]) ).
cnf(s632,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_132 ),
inference(sat_conversion,[],[f2446]) ).
cnf(s634,plain,
( ~ spl0_4
| ~ spl0_145
| ~ spl0_147
| ~ spl0_168 ),
inference(sat_conversion,[],[f2449]) ).
cnf(s638,plain,
( ~ spl0_5
| ~ spl0_118
| ~ spl0_119
| spl0_170 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s644,plain,
( ~ spl0_9
| ~ spl0_148
| ~ spl0_149
| ~ spl0_164 ),
inference(sat_conversion,[],[f2458]) ).
cnf(s645,plain,
( ~ spl0_9
| ~ spl0_145
| ~ spl0_146
| ~ spl0_168 ),
inference(sat_conversion,[],[f2459]) ).
cnf(s649,plain,
( ~ spl0_21
| spl0_96
| spl0_97
| spl0_171 ),
inference(sat_conversion,[],[f2469]) ).
cnf(s650,plain,
( ~ spl0_16
| ~ spl0_21
| spl0_96
| spl0_97
| spl0_98 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s663,plain,
( ~ spl0_10
| spl0_90
| spl0_91
| ~ spl0_131 ),
inference(sat_conversion,[],[f2522]) ).
cnf(s673,plain,
( ~ spl0_10
| spl0_90
| spl0_91
| ~ spl0_131 ),
inference(sat_conversion,[],[f2528]) ).
cnf(s677,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_68
| ~ spl0_112 ),
inference(sat_conversion,[],[f2555]) ).
cnf(s681,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_74
| ~ spl0_121 ),
inference(sat_conversion,[],[f2562]) ).
cnf(s683,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_132
| spl0_156 ),
inference(sat_conversion,[],[f2566]) ).
cnf(s687,plain,
( ~ spl0_17
| spl0_96
| spl0_97
| ~ spl0_171 ),
inference(sat_conversion,[],[f2574]) ).
cnf(s705,plain,
( ~ spl0_20
| spl0_102
| ~ spl0_140
| ~ spl0_141 ),
inference(sat_conversion,[],[f2620]) ).
cnf(s707,plain,
( ~ spl0_25
| ~ spl0_149
| ~ spl0_150
| spl0_164 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s712,plain,
( ~ spl0_18
| spl0_95
| ~ spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f2662]) ).
cnf(s724,plain,
( ~ spl0_25
| spl0_73
| ~ spl0_119
| ~ spl0_170 ),
inference(sat_conversion,[],[f2678]) ).
cnf(s735,plain,
( ~ spl0_1
| spl0_66
| ~ spl0_111
| ~ spl0_157 ),
inference(sat_conversion,[],[f2686]) ).
cnf(s740,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_25 ),
inference(sat_conversion,[],[f2717]) ).
cnf(s743,plain,
( ~ spl0_11
| spl0_70
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f2735]) ).
cnf(s746,plain,
( ~ spl0_22
| spl0_74
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f2757]) ).
cnf(s751,plain,
( ~ spl0_26
| spl0_96
| spl0_97
| spl0_98 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s752,plain,
( ~ spl0_26
| spl0_65
| spl0_66
| spl0_157 ),
inference(sat_conversion,[],[f2800]) ).
cnf(s755,plain,
spl0_3,
inference(rat,[],[s168,s173,s191,s197]) ).
cnf(s756,plain,
( spl0_10
| spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s208,s119,s120,s4,s32,s755]) ).
cnf(s757,plain,
( ~ spl0_48
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s208,s119,s120]) ).
cnf(s758,plain,
( spl0_22
| spl0_6
| spl0_5 ),
inference(rat,[],[s419,s92,s93,s94,s9,s23,s755]) ).
cnf(s759,plain,
( ~ spl0_55
| ~ spl0_22
| ~ spl0_4 ),
inference(rat,[],[s301,s124,s125]) ).
cnf(s760,plain,
( spl0_11
| spl0_5
| spl0_1 ),
inference(rat,[],[s4,s673,s95,s96,s135,s22,s755]) ).
cnf(s761,plain,
( ~ spl0_46
| ~ spl0_6 ),
inference(rat,[],[s200,s87,s131,s132]) ).
cnf(s763,plain,
( ~ spl0_51
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s645,s498,s149,s150,s151]) ).
cnf(s764,plain,
( ~ spl0_53
| ~ spl0_4 ),
inference(rat,[],[s378,s155,s156,s157]) ).
cnf(s765,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s634,s498,s149,s150,s151,s41,s507,s133,s134,s199,s761,s764,s755]) ).
cnf(s766,plain,
( spl0_5
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s48,s759,s757,s758,s760,s765,s755]) ).
cnf(s767,plain,
( ~ spl0_33
| ~ spl0_16 ),
inference(rat,[],[s288,s70,s71,s115]) ).
cnf(s768,plain,
( ~ spl0_49
| ~ spl0_8 ),
inference(rat,[],[s201,s97,s98,s136]) ).
cnf(s769,plain,
( ~ spl0_52
| ~ spl0_5 ),
inference(rat,[],[s380,s82,s127,s128]) ).
cnf(s770,plain,
( ~ spl0_146
| ~ spl0_145
| ~ spl0_18
| ~ spl0_9 ),
inference(rat,[],[s428,s435]) ).
cnf(s772,plain,
( ~ spl0_56
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s558,s122,s123]) ).
cnf(s773,plain,
( ~ spl0_41
| ~ spl0_21 ),
inference(rat,[],[s419,s92,s93,s94]) ).
cnf(s774,plain,
( ~ spl0_40
| ~ spl0_10 ),
inference(rat,[],[s663,s95,s96,s135]) ).
cnf(s775,plain,
( ~ spl0_55
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s7,s590,s428,s634,s68,s69,s114,s149,s150,s151,s51,s41,s724,s638,s772,s78,s122,s123,s160,s774,s773,s767,s37,s756,s768,s49,s9,s681,s759,s79,s125,s764,s765,s769,s766,s755]) ).
cnf(s776,plain,
( spl0_51
| spl0_55
| ~ spl0_5
| spl0_53 ),
inference(rat,[],[s677,s63,s73,s116,s772,s167,s41,s769,s755]) ).
cnf(s777,plain,
( spl0_25
| spl0_18
| spl0_1 ),
inference(rat,[],[s590,s7,s68,s69,s114,s767,s51,s19,s755]) ).
cnf(s778,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s707,s644,s5,s777,s152,s153,s154,s24,s603,s432,s85,s130,s17,s428,s634,s149,s150,s151,s776,s385,s529,s112,s146,s9,s42,s523,s774,s4,s757,s101,s102,s103,s48,s46,s775,s766,s765,s764,s755]) ).
cnf(s779,plain,
( ~ spl0_55
| spl0_52
| spl0_1 ),
inference(rat,[],[s768,s49,s3,s746,s564,s79,s124,s125,s1,s778,s755]) ).
cnf(s780,plain,
( spl0_51
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s712,s100,s139,s140,s777,s44,s724,s638,s78,s122,s123,s63,s677,s73,s116,s167,s779,s769,s755]) ).
cnf(s781,plain,
( ~ spl0_5
| spl0_1 ),
inference(rat,[],[s644,s707,s152,s153,s154,s24,s603,s566,s85,s130,s777,s17,s770,s763,s149,s150,s780,s3,s222,s4,s743,s75,s119,s120,s48,s779,s70,s71,s115,s40,s769,s1,s778,s755]) ).
cnf(s782,plain,
( ~ spl0_55
| spl0_1 ),
inference(rat,[],[s752,s227,s34,s70,s71,s768,s16,s3,s746,s564,s79,s124,s125,s1,s778,s755]) ).
cnf(s783,plain,
( spl0_5
| spl0_1 ),
inference(rat,[],[s743,s75,s119,s120,s48,s782,s760,s755]) ).
cnf(s784,plain,
spl0_1,
inference(rat,[],[s783,s781]) ).
cnf(s785,plain,
( ~ spl0_55
| ~ spl0_4 ),
inference(rat,[],[s757,s33,s32,s752,s212,s735,s70,s71,s115,s37,s768,s49,s773,s681,s769,s9,s758,s759,s79,s125,s765,s755,s784]) ).
cnf(s786,plain,
( ~ spl0_21
| spl0_18
| ~ spl0_43 ),
inference(rat,[],[s687,s7,s649,s650,s103,s102,s101,s755]) ).
cnf(s787,plain,
( ~ spl0_33
| ~ spl0_10 ),
inference(rat,[],[s212,s71,s115,s784]) ).
cnf(s788,plain,
( ~ spl0_49
| ~ spl0_14
| ~ spl0_10
| ~ spl0_5 ),
inference(rat,[],[s214,s683,s98,s136,s784]) ).
cnf(s790,plain,
( spl0_25
| spl0_8
| spl0_18
| ~ spl0_5 ),
inference(rat,[],[s37,s677,s767,s73,s116,s7,s15,s590,s772,s68,s69,s114,s50,s51,s755]) ).
cnf(s792,plain,
( ~ spl0_32
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s677,s73,s116]) ).
cnf(s793,plain,
( spl0_158
| spl0_80
| spl0_81
| ~ spl0_126
| spl0_20 ),
inference(rat,[],[s8,s603,s397,s755]) ).
cnf(s794,plain,
( spl0_8
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s432,s793,s85,s86,s130,s66,s121,s629,s15,s792,s705,s107,s144,s145,s54,s788,s37,s787,s32,s757,s740,s790,s9,s11,s626,s83,s84,s129,s35,s786,s428,s150,s634,s151,s149,s776,s764,s751,s101,s102,s103,s46,s785,s765,s755,s784]) ).
cnf(s796,plain,
( ~ spl0_47
| ~ spl0_22
| ~ spl0_4 ),
inference(rat,[],[s256,s117,s118]) ).
cnf(s797,plain,
( ~ spl0_32
| ~ spl0_2
| ~ spl0_8 ),
inference(rat,[],[s218,s72,s116]) ).
cnf(s798,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s45,s757,s254,s210,s15,s797,s47,s796,s768,s794,s9,s786,s428,s634,s149,s150,s151,s776,s764,s46,s785,s765,s755]) ).
cnf(s799,plain,
( ~ spl0_10
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s793,s432,s705,s85,s86,s130,s107,s144,s145,s66,s54,s121,s136,s629,s632,s11,s626,s83,s84,s129,s35,s444,s139,s140,s55,s787,s523,s751,s101,s102,s103,s46,s785,s2,s31,s796,s758,s765,s798,s755,s784]) ).
cnf(s800,plain,
( ~ spl0_48
| ~ spl0_7 ),
inference(rat,[],[s216,s119,s120,s784]) ).
cnf(s801,plain,
( spl0_8
| ~ spl0_4 ),
inference(rat,[],[s32,s799,s800,s2,s798,s765,s755]) ).
cnf(s802,plain,
( ~ spl0_42
| ~ spl0_4 ),
inference(rat,[],[s407,s152,s154,s210,s801,s2,s798,s765,s755]) ).
cnf(s803,plain,
~ spl0_4,
inference(rat,[],[s504,s142,s143,s168,s802,s45,s800,s2,s798,s785,s765,s755]) ).
cnf(s805,plain,
( ~ spl0_35
| ~ spl0_18 ),
inference(rat,[],[s712,s100,s139,s140]) ).
cnf(s806,plain,
~ spl0_38,
inference(rat,[],[s480,s99,s137,s138,s784]) ).
cnf(s807,plain,
~ spl0_33,
inference(rat,[],[s805,s65,s7,s752,s267,s735,s767,s70,s71,s115,s755,s806,s784]) ).
cnf(s808,plain,
spl0_52,
inference(rat,[],[s40,s803,s755,s807]) ).
cnf(s809,plain,
spl0_22,
inference(rat,[],[s16,s803,s755,s807]) ).
cnf(s811,plain,
spl0_123,
inference(rat,[],[s127,s808]) ).
cnf(s813,plain,
~ spl0_5,
inference(rat,[],[s769,s808]) ).
cnf(s814,plain,
( ~ spl0_6
| ~ spl0_35 ),
inference(rat,[],[s30,s387,s761,s140,s100,s755,s813]) ).
cnf(s815,plain,
spl0_8,
inference(rat,[],[s626,s83,s84,s129,s11,s35,s751,s786,s101,s102,s103,s165,s631,s800,s2,s814,s805,s55,s37,s755,s806,s784,s811,s809,s813,s807]) ).
cnf(s816,plain,
~ spl0_49,
inference(rat,[],[s768,s815]) ).
cnf(s817,plain,
spl0_35,
inference(rat,[],[s164,s806,s816]) ).
cnf(s821,plain,
~ spl0_18,
inference(rat,[],[s805,s817]) ).
cnf(s822,plain,
~ spl0_6,
inference(rat,[],[s814,s817]) ).
cnf(s823,plain,
spl0_7,
inference(rat,[],[s2,s813,s755,s822]) ).
cnf(s824,plain,
~ spl0_48,
inference(rat,[],[s800,s823]) ).
cnf(s826,plain,
spl0_43,
inference(rat,[],[s165,s806,s824]) ).
cnf(s827,plain,
~ spl0_98,
inference(rat,[],[s103,s826]) ).
cnf(s828,plain,
~ spl0_97,
inference(rat,[],[s102,s826]) ).
cnf(s829,plain,
~ spl0_96,
inference(rat,[],[s101,s826]) ).
cnf(s830,plain,
~ spl0_21,
inference(rat,[],[s786,s821,s826]) ).
cnf(s831,plain,
~ spl0_26,
inference(rat,[],[s751,s827,s828,s829]) ).
cnf(s832,plain,
spl0_45,
inference(rat,[],[s35,s821,s755,s830]) ).
cnf(s833,plain,
spl0_125,
inference(rat,[],[s129,s832]) ).
cnf(s834,plain,
~ spl0_79,
inference(rat,[],[s84,s832]) ).
cnf(s835,plain,
~ spl0_78,
inference(rat,[],[s83,s832]) ).
cnf(s836,plain,
~ spl0_27,
inference(rat,[],[s626,s833,s834,s835]) ).
cnf(s837,plain,
spl0_28,
inference(rat,[],[s11,s831,s755,s836]) ).
cnf(s838,plain,
~ spl0_14,
inference(rat,[],[s631,s809,s811,s823,s784,s837]) ).
cnf(s839,plain,
spl0_47,
inference(rat,[],[s31,s813,s755,s838]) ).
cnf(s842,plain,
spl0_114,
inference(rat,[],[s118,s839]) ).
cnf(s843,plain,
spl0_113,
inference(rat,[],[s117,s839]) ).
cnf(s851,plain,
$false,
inference(rat,[],[s344,s809,s823,s784,s842,s843]) ).
fof(f2803,plain,
$false,
inference(avatar_sat_refutation,[],[s851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN501-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n011.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 16:17:45 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.99 % (3510061)Input is clausal, will run a generic CNF schedule.
% 0.64/0.99 % (3510070)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=614061474:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.64/0.99 % (3510070)First to succeed.
% 0.64/0.99 % (3510070)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3510061"
% 0.64/0.99 % (3510068)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=91087821:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.64/0.99 % (3510066)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3727739677:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.64/0.99 % (3510071)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1780743461:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.64/0.99 % (3510069)lrs+10_1_sil=8000:sp=occurrence:random_seed=1596822041:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.64/0.99 % (3510067)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3956768953:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.64/0.99 % (3510072)dis-21_1_sil=8000:lcm=predicate:random_seed=4031524402:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.64/0.99 % (3510072)Also succeeded, but the first one will report.
% 0.64/0.99 % (3510069)Also succeeded, but the first one will report.
% 0.64/0.99 % (3510071)Also succeeded, but the first one will report.
% 0.64/0.99 % (3510070)Refutation found. Thanks to Tanya!
% 0.64/0.99 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.80/1.09 % (3510070)------------------------------
% 2.80/1.09 % (3510070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.09 % (3510070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.09 % (3510070)CaDiCaL version: 2.1.3
% 2.80/1.09 % (3510070)Termination reason: Refutation
% 2.80/1.09 % (3510070)Time elapsed: 0.023 s
% 2.80/1.09 % (3510070)Peak memory usage: 90 MB
% 2.80/1.09 % (3510070)Instructions burned: 62 (million)
% 2.80/1.09 % (3510070)------------------------------
% 2.80/1.09 % (3510070)------------------------------
% 2.80/1.09 % (3510061)Success in time 0.325 s
% 2.80/1.09 % Vampire exiting
%------------------------------------------------------------------------------