%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN461-1 : 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 : n008.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 01:53:01 PM UTC 2026
% Result : Unsatisfiable 3.14s 1.09s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 221
% Syntax : Number of formulae : 779 ( 25 unt; 121 def)
% Number of atoms : 2471 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2993 (1301 ~;1571 |; 0 &)
% ( 121 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 147 ( 146 usr; 143 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 130 ( 0 sgn 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp28
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f22,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f32,negated_conjecture,
( hskp0
| hskp1
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp17
| hskp13
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp17
| hskp1
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp6
| hskp21
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp8
| hskp21
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( ~ hskp28
| c0_1(a1236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( ~ hskp28
| c2_1(a1236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( ~ hskp28
| c3_1(a1236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f46,negated_conjecture,
( ~ hskp25
| c1_1(a1182) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp25
| c2_1(a1182) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp25
| c3_1(a1182) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f50,negated_conjecture,
( ~ hskp22
| c0_1(a1211) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp22
| c3_1(a1211) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp21
| c2_1(a1207) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp21
| c3_1(a1207) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f56,negated_conjecture,
( ~ hskp19
| c3_1(a1204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f59,negated_conjecture,
( ~ hskp17
| c0_1(a1200) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp16
| c2_1(a1199) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f62,negated_conjecture,
( ~ hskp14
| c2_1(a1194) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp13
| c1_1(a1192) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp11
| c0_1(a1186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f67,negated_conjecture,
( ~ hskp8
| c1_1(a1180) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp6
| c1_1(a1178) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp6
| c2_1(a1178) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f72,negated_conjecture,
( ~ hskp4
| c1_1(a1175) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp4
| c2_1(a1175) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp3
| c0_1(a1174) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp3
| c1_1(a1174) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp2
| c2_1(a1172) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp2
| c3_1(a1172) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp1
| c1_1(a1169) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp0
| c0_1(a1168) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp0
| c1_1(a1168) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f83,negated_conjecture,
( ~ c0_1(a1218)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ c1_1(a1218)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ c3_1(a1218)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ c1_1(a1211)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ c1_1(a1207)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f89,negated_conjecture,
( ~ c1_1(a1204)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ c2_1(a1204)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f92,negated_conjecture,
( ~ c1_1(a1200)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ c2_1(a1200)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ c0_1(a1199)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ c3_1(a1199)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f98,negated_conjecture,
( ~ c0_1(a1194)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c1_1(a1194)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c0_1(a1192)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c2_1(a1192)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c0_1(a1187)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c2_1(a1187)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c3_1(a1187)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c2_1(a1186)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c3_1(a1186)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c0_1(a1184)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c1_1(a1184)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c2_1(a1184)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f111,negated_conjecture,
( ~ c0_1(a1180)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ c3_1(a1180)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f116,negated_conjecture,
( ~ c3_1(a1178)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f118,negated_conjecture,
( ~ c0_1(a1175)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c3_1(a1174)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c0_1(a1172)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c2_1(a1169)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c3_1(a1169)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ c2_1(a1168)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| hskp0
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp3
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f127,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f130,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp22
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp22
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f133,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp19
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f136,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp13
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp22
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp22
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp13
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f144,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f150,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f153,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X0)
| c1_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f173,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| c2_1(X0)
| c1_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X2)
| c3_1(X0)
| c3_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c3_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f178,definition,
( spl0_1
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f179,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f184,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f187,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f188,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f189,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f176,f187,f184,f181,f178]) ).
fof(f191,definition,
( spl0_5
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f192,plain,
( ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,definition,
( spl0_6
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f195,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f197,definition,
( spl0_7
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f198,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f175,f197,f184,f194,f191]) ).
fof(f201,definition,
( spl0_8
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f202,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl0_9
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f205,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( spl0_8
| spl0_2
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f174,f204,f184,f181,f201]) ).
fof(f208,definition,
( spl0_10
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f209,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c0_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,definition,
( spl0_11
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f212,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f213,plain,
( spl0_10
| spl0_5
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f173,f211,f184,f191,f208]) ).
fof(f215,definition,
( spl0_12
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f216,plain,
( ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| c0_1(X2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,definition,
( spl0_13
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f219,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_14
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f223,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,definition,
( spl0_15
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f226,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f227,plain,
( spl0_14
| spl0_15
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f171,f191,f184,f225,f222]) ).
fof(f229,definition,
( spl0_16
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f230,plain,
( ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,definition,
( spl0_17
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f233,plain,
( ! [X1] :
( c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl0_16
| spl0_17
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f170,f204,f184,f232,f229]) ).
fof(f236,definition,
( spl0_18
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f237,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f239,definition,
( spl0_19
<=> ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f240,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( spl0_18
| spl0_12
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f169,f239,f184,f215,f236]) ).
fof(f243,definition,
( spl0_20
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f244,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,definition,
( spl0_21
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f247,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( spl0_20
| spl0_21
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f168,f204,f184,f246,f243]) ).
fof(f250,definition,
( spl0_22
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f253,definition,
( spl0_23
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f254,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( spl0_22
| spl0_11
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f167,f253,f184,f211,f250]) ).
fof(f257,definition,
( spl0_24
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f260,definition,
( spl0_25
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f261,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( spl0_24
| spl0_13
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f166,f260,f184,f218,f257]) ).
fof(f264,definition,
( spl0_26
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f268,definition,
( spl0_27
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f270,plain,
( spl0_27
| spl0_8
| ~ spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f164,f225,f184,f201,f268]) ).
fof(f272,definition,
( spl0_28
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f274,plain,
( spl0_28
| spl0_15
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f163,f218,f184,f225,f272]) ).
fof(f276,definition,
( spl0_29
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f277,plain,
( ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f278,plain,
( spl0_26
| spl0_29
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f162,f253,f184,f276,f264]) ).
fof(f279,plain,
( spl0_10
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f161,f260,f184,f208]) ).
fof(f281,definition,
( spl0_30
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f284,definition,
( spl0_31
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f285,plain,
( ! [X1] :
( c1_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( spl0_26
| spl0_8
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f159,f276,f184,f201,f264]) ).
fof(f289,definition,
( spl0_32
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f290,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,definition,
( spl0_33
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f293,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( spl0_30
| spl0_32
| ~ spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f158,f292,f184,f289,f281]) ).
fof(f296,definition,
( spl0_34
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f300,definition,
( spl0_35
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f307,definition,
( spl0_37
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f313,plain,
( spl0_24
| spl0_31
| ~ spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f154,f292,f184,f284,f257]) ).
fof(f315,definition,
( spl0_39
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f317,plain,
( spl0_39
| spl0_31
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f153,f211,f184,f284,f315]) ).
fof(f323,definition,
( spl0_41
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f325,plain,
( spl0_41
| spl0_16
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f151,f232,f184,f229,f323]) ).
fof(f327,definition,
( spl0_42
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f329,plain,
( spl0_42
| spl0_20
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f150,f181,f184,f243,f327]) ).
fof(f346,definition,
( spl0_47
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f352,plain,
( spl0_42
| spl0_18
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f145,f229,f184,f236,f327]) ).
fof(f353,plain,
( spl0_42
| spl0_20
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f144,f276,f184,f243,f327]) ).
fof(f354,plain,
( spl0_34
| spl0_24
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f143,f187,f184,f257,f296]) ).
fof(f356,definition,
( spl0_49
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f358,plain,
( spl0_47
| spl0_49
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f142,f187,f184,f356,f346]) ).
fof(f364,definition,
( spl0_51
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f366,plain,
( spl0_51
| spl0_49
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f140,f181,f184,f356,f364]) ).
fof(f369,definition,
( spl0_52
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f377,definition,
( spl0_54
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f379,plain,
( spl0_54
| spl0_24
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f136,f191,f184,f257,f377]) ).
fof(f389,definition,
( spl0_57
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f391,plain,
( spl0_57
| spl0_54
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f133,f194,f184,f377,f389]) ).
fof(f396,plain,
( spl0_51
| spl0_49
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f131,f218,f184,f356,f364]) ).
fof(f397,plain,
( spl0_28
| spl0_49
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f130,f218,f184,f356,f272]) ).
fof(f399,definition,
( spl0_59
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f403,plain,
( spl0_42
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f127,f208,f184,f327]) ).
fof(f405,plain,
( spl0_39
| spl0_30
| spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f125,f184,f222,f281,f315]) ).
fof(f406,plain,
( spl0_30
| spl0_42
| spl0_18
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f124,f184,f236,f327,f281]) ).
fof(f409,definition,
( spl0_60
<=> c2_1(a1168) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f411,plain,
( ~ spl0_42
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f123,f409,f327]) ).
fof(f414,definition,
( spl0_61
<=> c3_1(a1169) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f415,plain,
( ~ c3_1(a1169)
| spl0_61 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( ~ spl0_35
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f122,f414,f300]) ).
fof(f418,definition,
( spl0_62
<=> c2_1(a1169) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f420,plain,
( ~ spl0_35
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f121,f418,f300]) ).
fof(f423,definition,
( spl0_63
<=> c0_1(a1172) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f425,plain,
( ~ spl0_47
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f120,f423,f346]) ).
fof(f428,definition,
( spl0_64
<=> c3_1(a1174) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f429,plain,
( ~ c3_1(a1174)
| spl0_64 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f430,plain,
( ~ spl0_30
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f119,f428,f281]) ).
fof(f433,definition,
( spl0_65
<=> c0_1(a1175) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f435,plain,
( ~ spl0_41
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f118,f433,f323]) ).
fof(f443,definition,
( spl0_67
<=> c3_1(a1178) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f444,plain,
( ~ c3_1(a1178)
| spl0_67 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( ~ spl0_39
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f116,f443,f315]) ).
fof(f461,definition,
( spl0_71
<=> c3_1(a1180) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f463,plain,
( ~ spl0_37
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f112,f461,f307]) ).
fof(f465,definition,
( spl0_72
<=> c0_1(a1180) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f467,plain,
( ~ spl0_37
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f111,f465,f307]) ).
fof(f475,definition,
( spl0_74
<=> c2_1(a1184) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f477,plain,
( ~ spl0_34
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f109,f475,f296]) ).
fof(f479,definition,
( spl0_75
<=> c1_1(a1184) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f480,plain,
( ~ c1_1(a1184)
| spl0_75 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f481,plain,
( ~ spl0_34
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f108,f479,f296]) ).
fof(f483,definition,
( spl0_76
<=> c0_1(a1184) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f485,plain,
( ~ spl0_34
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f107,f483,f296]) ).
fof(f488,definition,
( spl0_77
<=> c3_1(a1186) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f489,plain,
( ~ c3_1(a1186)
| spl0_77 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( ~ spl0_26
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f106,f488,f264]) ).
fof(f492,definition,
( spl0_78
<=> c2_1(a1186) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f494,plain,
( ~ spl0_26
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f105,f492,f264]) ).
fof(f497,definition,
( spl0_79
<=> c3_1(a1187) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f498,plain,
( ~ c3_1(a1187)
| spl0_79 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f499,plain,
( ~ spl0_27
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f104,f497,f268]) ).
fof(f501,definition,
( spl0_80
<=> c2_1(a1187) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f503,plain,
( ~ spl0_27
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f103,f501,f268]) ).
fof(f505,definition,
( spl0_81
<=> c0_1(a1187) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f507,plain,
( ~ spl0_27
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f102,f505,f268]) ).
fof(f510,definition,
( spl0_82
<=> c2_1(a1192) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f512,plain,
( ~ spl0_24
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f101,f510,f257]) ).
fof(f514,definition,
( spl0_83
<=> c0_1(a1192) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f516,plain,
( ~ spl0_24
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f100,f514,f257]) ).
fof(f519,definition,
( spl0_84
<=> c1_1(a1194) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f520,plain,
( ~ c1_1(a1194)
| spl0_84 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f521,plain,
( ~ spl0_51
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f99,f519,f364]) ).
fof(f523,definition,
( spl0_85
<=> c0_1(a1194) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f525,plain,
( ~ spl0_51
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f98,f523,f364]) ).
fof(f537,definition,
( spl0_88
<=> c3_1(a1199) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f538,plain,
( ~ c3_1(a1199)
| spl0_88 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f539,plain,
( ~ spl0_59
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f95,f537,f399]) ).
fof(f541,definition,
( spl0_89
<=> c0_1(a1199) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f543,plain,
( ~ spl0_59
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f94,f541,f399]) ).
fof(f546,definition,
( spl0_90
<=> c2_1(a1200) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f548,plain,
( ~ spl0_28
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f93,f546,f272]) ).
fof(f550,definition,
( spl0_91
<=> c1_1(a1200) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f551,plain,
( ~ c1_1(a1200)
| spl0_91 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f552,plain,
( ~ spl0_28
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f92,f550,f272]) ).
fof(f560,definition,
( spl0_93
<=> c2_1(a1204) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f562,plain,
( ~ spl0_54
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f90,f560,f377]) ).
fof(f564,definition,
( spl0_94
<=> c1_1(a1204) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f565,plain,
( ~ c1_1(a1204)
| spl0_94 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f566,plain,
( ~ spl0_54
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f89,f564,f377]) ).
fof(f574,definition,
( spl0_96
<=> c1_1(a1207) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f575,plain,
( ~ c1_1(a1207)
| spl0_96 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f576,plain,
( ~ spl0_52
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f87,f574,f369]) ).
fof(f579,definition,
( spl0_97
<=> c1_1(a1211) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f580,plain,
( ~ c1_1(a1211)
| spl0_97 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( ~ spl0_49
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f86,f579,f356]) ).
fof(f584,definition,
( spl0_98
<=> c3_1(a1218) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f585,plain,
( ~ c3_1(a1218)
| spl0_98 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f586,plain,
( ~ spl0_57
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f85,f584,f389]) ).
fof(f588,definition,
( spl0_99
<=> c1_1(a1218) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f589,plain,
( ~ c1_1(a1218)
| spl0_99 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f590,plain,
( ~ spl0_57
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f84,f588,f389]) ).
fof(f592,definition,
( spl0_100
<=> c0_1(a1218) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f594,plain,
( ~ spl0_57
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f83,f592,f389]) ).
fof(f607,definition,
( spl0_104
<=> c1_1(a1168) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f608,plain,
( c1_1(a1168)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f609,plain,
( spl0_104
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f80,f327,f607]) ).
fof(f611,definition,
( spl0_105
<=> c0_1(a1168) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f613,plain,
( spl0_105
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f79,f327,f611]) ).
fof(f615,definition,
( spl0_106
<=> c1_1(a1169) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f616,plain,
( c1_1(a1169)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( spl0_106
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f78,f300,f615]) ).
fof(f619,definition,
( spl0_107
<=> c3_1(a1172) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f620,plain,
( c3_1(a1172)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f621,plain,
( spl0_107
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f77,f346,f619]) ).
fof(f623,definition,
( spl0_108
<=> c2_1(a1172) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f625,plain,
( spl0_108
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f76,f346,f623]) ).
fof(f627,definition,
( spl0_109
<=> c1_1(a1174) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f628,plain,
( c1_1(a1174)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f629,plain,
( spl0_109
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f75,f281,f627]) ).
fof(f631,definition,
( spl0_110
<=> c0_1(a1174) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f633,plain,
( spl0_110
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f74,f281,f631]) ).
fof(f635,definition,
( spl0_111
<=> c2_1(a1175) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f637,plain,
( spl0_111
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f73,f323,f635]) ).
fof(f639,definition,
( spl0_112
<=> c1_1(a1175) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f640,plain,
( c1_1(a1175)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f641,plain,
( spl0_112
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f72,f323,f639]) ).
fof(f651,definition,
( spl0_115
<=> c2_1(a1178) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f653,plain,
( spl0_115
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f69,f315,f651]) ).
fof(f655,definition,
( spl0_116
<=> c1_1(a1178) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f656,plain,
( c1_1(a1178)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f657,plain,
( spl0_116
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f68,f315,f655]) ).
fof(f659,definition,
( spl0_117
<=> c1_1(a1180) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f660,plain,
( c1_1(a1180)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f661,plain,
( spl0_117
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f67,f307,f659]) ).
fof(f671,definition,
( spl0_120
<=> c0_1(a1186) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f673,plain,
( spl0_120
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f64,f264,f671]) ).
fof(f675,definition,
( spl0_121
<=> c1_1(a1192) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f676,plain,
( c1_1(a1192)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( spl0_121
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f63,f257,f675]) ).
fof(f679,definition,
( spl0_122
<=> c2_1(a1194) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f681,plain,
( spl0_122
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f62,f364,f679]) ).
fof(f687,definition,
( spl0_124
<=> c2_1(a1199) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f689,plain,
( spl0_124
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f60,f399,f687]) ).
fof(f691,definition,
( spl0_125
<=> c0_1(a1200) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f693,plain,
( spl0_125
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f59,f272,f691]) ).
fof(f703,definition,
( spl0_128
<=> c3_1(a1204) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f705,plain,
( spl0_128
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f56,f377,f703]) ).
fof(f715,definition,
( spl0_131
<=> c3_1(a1207) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f716,plain,
( c3_1(a1207)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f717,plain,
( spl0_131
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f53,f369,f715]) ).
fof(f719,definition,
( spl0_132
<=> c2_1(a1207) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f721,plain,
( spl0_132
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f52,f369,f719]) ).
fof(f723,definition,
( spl0_133
<=> c3_1(a1211) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f724,plain,
( c3_1(a1211)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f725,plain,
( spl0_133
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f51,f356,f723]) ).
fof(f727,definition,
( spl0_134
<=> c0_1(a1211) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f728,plain,
( c0_1(a1211)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f729,plain,
( spl0_134
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f50,f356,f727]) ).
fof(f735,definition,
( spl0_136
<=> c3_1(a1182) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f736,plain,
( c3_1(a1182)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f738,plain,
( spl0_136
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f48,f250,f735]) ).
fof(f740,definition,
( spl0_137
<=> c2_1(a1182) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f742,plain,
( spl0_137
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f47,f250,f740]) ).
fof(f744,definition,
( spl0_138
<=> c1_1(a1182) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f745,plain,
( c1_1(a1182)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f746,plain,
( spl0_138
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f46,f250,f744]) ).
fof(f774,definition,
( spl0_145
<=> c3_1(a1236) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f775,plain,
( c3_1(a1236)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f777,definition,
( spl0_146
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f779,plain,
( spl0_145
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f39,f777,f774]) ).
fof(f781,definition,
( spl0_147
<=> c2_1(a1236) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f783,plain,
( spl0_147
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f38,f777,f781]) ).
fof(f785,definition,
( spl0_148
<=> c0_1(a1236) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f787,plain,
( spl0_148
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f37,f777,f785]) ).
fof(f788,plain,
( spl0_54
| spl0_52
| spl0_37 ),
inference(avatar_split_clause,[],[f36,f307,f369,f377]) ).
fof(f789,plain,
( spl0_51
| spl0_52
| spl0_39 ),
inference(avatar_split_clause,[],[f35,f315,f369,f364]) ).
fof(f790,plain,
( spl0_59
| spl0_35
| spl0_28 ),
inference(avatar_split_clause,[],[f34,f272,f300,f399]) ).
fof(f791,plain,
( spl0_47
| spl0_24
| spl0_28 ),
inference(avatar_split_clause,[],[f33,f272,f257,f346]) ).
fof(f792,plain,
( spl0_51
| spl0_35
| spl0_42 ),
inference(avatar_split_clause,[],[f32,f327,f300,f364]) ).
fof(f804,plain,
( spl0_3
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f22,f307,f184]) ).
fof(f824,plain,
( spl0_3
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f2,f777,f184]) ).
fof(f826,plain,
( spl0_37
| spl0_146 ),
inference(avatar_split_clause,[],[f1,f777,f307]) ).
fof(f832,definition,
( spl0_149
<=> c0_1(a1178) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f841,definition,
( spl0_150
<=> c3_1(a1200) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f852,definition,
( spl0_151
<=> c3_1(a1168) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f867,plain,
( c2_1(a1200)
| ~ c0_1(a1200)
| ~ spl0_10
| spl0_91 ),
inference(resolution,[],[f209,f551]) ).
fof(f885,definition,
( spl0_153
<=> c0_1(a1169) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f899,definition,
( spl0_154
<=> c3_1(a1192) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f900,plain,
( ~ c3_1(a1192)
| spl0_154 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f912,plain,
( c3_1(a1192)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f923,plain,
( c2_1(a1168)
| ~ c0_1(a1168)
| ~ spl0_11
| ~ spl0_104 ),
inference(resolution,[],[f212,f608]) ).
fof(f934,definition,
( spl0_155
<=> c2_1(a1211) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f939,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f226,f198]) ).
fof(f942,plain,
( ~ c0_1(a1211)
| ~ c2_1(a1211)
| ~ spl0_15
| spl0_97 ),
inference(resolution,[],[f226,f580]) ).
fof(f944,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f939]) ).
fof(f981,plain,
( c0_1(a1169)
| c2_1(a1169)
| ~ spl0_14
| spl0_61 ),
inference(resolution,[],[f223,f415]) ).
fof(f988,definition,
( spl0_157
<=> c2_1(a1218) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1017,definition,
( spl0_158
<=> c3_1(a1175) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1029,plain,
( c0_1(a1192)
| c2_1(a1192)
| ~ spl0_14
| spl0_154 ),
inference(resolution,[],[f900,f223]) ).
fof(f1032,plain,
( spl0_82
| spl0_83
| ~ spl0_14
| spl0_154 ),
inference(avatar_split_clause,[],[f1029,f899,f222,f514,f510]) ).
fof(f1057,plain,
( c3_1(a1218)
| c0_1(a1218)
| ~ spl0_18
| spl0_99 ),
inference(resolution,[],[f237,f589]) ).
fof(f1086,plain,
( c0_1(a1172)
| ~ c2_1(a1172)
| ~ spl0_19
| ~ spl0_107 ),
inference(resolution,[],[f240,f620]) ).
fof(f1099,plain,
( spl0_100
| spl0_98
| ~ spl0_18
| spl0_99 ),
inference(avatar_split_clause,[],[f1057,f588,f236,f584,f592]) ).
fof(f1137,plain,
( c2_1(a1192)
| c0_1(a1192)
| ~ spl0_21
| ~ spl0_154 ),
inference(resolution,[],[f247,f912]) ).
fof(f1142,plain,
( spl0_83
| spl0_82
| ~ spl0_21
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1137,f899,f246,f510,f514]) ).
fof(f1149,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_10
| ~ spl0_23 ),
inference(resolution,[],[f254,f209]) ).
fof(f1157,plain,
( c3_1(a1168)
| ~ c0_1(a1168)
| ~ spl0_23
| ~ spl0_104 ),
inference(resolution,[],[f254,f608]) ).
fof(f1158,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_10
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f1149]) ).
fof(f1196,plain,
( ~ c2_1(a1211)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_134 ),
inference(resolution,[],[f944,f728]) ).
fof(f1200,plain,
( ~ spl0_155
| ~ spl0_7
| ~ spl0_15
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1196,f727,f225,f197,f934]) ).
fof(f1207,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) )
| ~ spl0_31
| ~ spl0_32 ),
inference(resolution,[],[f290,f285]) ).
fof(f1211,plain,
( c3_1(a1192)
| c0_1(a1192)
| ~ spl0_32
| ~ spl0_121 ),
inference(resolution,[],[f290,f676]) ).
fof(f1212,plain,
( c3_1(a1180)
| c0_1(a1180)
| ~ spl0_32
| ~ spl0_117 ),
inference(resolution,[],[f290,f660]) ).
fof(f1213,plain,
( c3_1(a1178)
| c0_1(a1178)
| ~ spl0_32
| ~ spl0_116 ),
inference(resolution,[],[f290,f656]) ).
fof(f1216,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_31
| ~ spl0_32 ),
inference(duplicate_literal_removal,[],[f1207]) ).
fof(f1227,plain,
( ~ c0_1(a1174)
| ~ c2_1(a1174)
| ~ spl0_2
| spl0_64 ),
inference(resolution,[],[f429,f182]) ).
fof(f1229,definition,
( spl0_162
<=> c2_1(a1174) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1232,plain,
( ~ spl0_162
| ~ spl0_110
| ~ spl0_2
| spl0_64 ),
inference(avatar_split_clause,[],[f1227,f428,f181,f631,f1229]) ).
fof(f1236,plain,
( c3_1(a1174)
| ~ c0_1(a1174)
| ~ spl0_23
| ~ spl0_109 ),
inference(resolution,[],[f628,f254]) ).
fof(f1240,plain,
( ~ spl0_110
| spl0_64
| ~ spl0_23
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1236,f627,f253,f428,f631]) ).
fof(f1256,plain,
( c2_1(a1168)
| ~ c3_1(a1168)
| ~ spl0_33
| ~ spl0_104 ),
inference(resolution,[],[f293,f608]) ).
fof(f1271,plain,
( spl0_149
| spl0_67
| ~ spl0_32
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1213,f655,f289,f443,f832]) ).
fof(f1274,plain,
( ~ c0_1(a1207)
| ~ c2_1(a1207)
| ~ spl0_15
| spl0_96 ),
inference(resolution,[],[f575,f226]) ).
fof(f1275,plain,
( ~ c3_1(a1207)
| c0_1(a1207)
| ~ spl0_17
| spl0_96 ),
inference(resolution,[],[f575,f233]) ).
fof(f1284,definition,
( spl0_163
<=> c0_1(a1207) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1288,plain,
( spl0_163
| ~ spl0_131
| ~ spl0_17
| spl0_96 ),
inference(avatar_split_clause,[],[f1275,f574,f232,f715,f1284]) ).
fof(f1301,definition,
( spl0_164
<=> c3_1(a1194) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1314,plain,
( ~ spl0_108
| spl0_63
| ~ spl0_19
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1086,f619,f239,f423,f623]) ).
fof(f1317,plain,
( ~ c3_1(a1204)
| c0_1(a1204)
| ~ spl0_17
| spl0_94 ),
inference(resolution,[],[f565,f233]) ).
fof(f1318,plain,
( c2_1(a1204)
| c0_1(a1204)
| ~ spl0_20
| spl0_94 ),
inference(resolution,[],[f565,f244]) ).
fof(f1319,plain,
( c2_1(a1204)
| ~ c3_1(a1204)
| ~ spl0_29
| spl0_94 ),
inference(resolution,[],[f565,f277]) ).
fof(f1324,plain,
( ~ spl0_128
| spl0_93
| ~ spl0_29
| spl0_94 ),
inference(avatar_split_clause,[],[f1319,f564,f276,f560,f703]) ).
fof(f1326,definition,
( spl0_165
<=> c0_1(a1204) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1329,plain,
( spl0_165
| ~ spl0_128
| ~ spl0_17
| spl0_94 ),
inference(avatar_split_clause,[],[f1317,f564,f232,f703,f1326]) ).
fof(f1341,plain,
( ~ c0_1(a1178)
| ~ c2_1(a1178)
| ~ spl0_2
| spl0_67 ),
inference(resolution,[],[f444,f182]) ).
fof(f1344,plain,
( ~ c3_1(a1184)
| c0_1(a1184)
| ~ spl0_17
| spl0_75 ),
inference(resolution,[],[f480,f233]) ).
fof(f1345,plain,
( c2_1(a1184)
| ~ c3_1(a1184)
| ~ spl0_29
| spl0_75 ),
inference(resolution,[],[f480,f277]) ).
fof(f1347,definition,
( spl0_166
<=> c3_1(a1184) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1350,plain,
( ~ spl0_166
| spl0_74
| ~ spl0_29
| spl0_75 ),
inference(avatar_split_clause,[],[f1345,f479,f276,f475,f1347]) ).
fof(f1352,plain,
( spl0_76
| ~ spl0_166
| ~ spl0_17
| spl0_75 ),
inference(avatar_split_clause,[],[f1344,f479,f232,f1347,f483]) ).
fof(f1381,plain,
( ~ c0_1(a1211)
| ~ c2_1(a1211)
| ~ spl0_4
| ~ spl0_133 ),
inference(resolution,[],[f188,f724]) ).
fof(f1393,definition,
( spl0_168
<=> c0_1(a1182) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1455,plain,
( c0_1(a1182)
| ~ c2_1(a1182)
| ~ spl0_19
| ~ spl0_136 ),
inference(resolution,[],[f240,f736]) ).
fof(f1459,plain,
( ~ spl0_137
| spl0_168
| ~ spl0_19
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1455,f735,f239,f1393,f740]) ).
fof(f1462,plain,
( ~ spl0_105
| spl0_151
| ~ spl0_23
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1157,f607,f253,f852,f611]) ).
fof(f1484,plain,
( ~ spl0_105
| spl0_60
| ~ spl0_11
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f923,f607,f211,f409,f611]) ).
fof(f1488,plain,
( spl0_165
| spl0_93
| ~ spl0_20
| spl0_94 ),
inference(avatar_split_clause,[],[f1318,f564,f243,f560,f1326]) ).
fof(f1491,plain,
( spl0_62
| spl0_153
| ~ spl0_14
| spl0_61 ),
inference(avatar_split_clause,[],[f981,f414,f222,f885,f418]) ).
fof(f1501,plain,
( c3_1(a1192)
| c2_1(a1192)
| ~ spl0_6
| ~ spl0_121 ),
inference(resolution,[],[f195,f676]) ).
fof(f1506,plain,
( c3_1(a1169)
| c2_1(a1169)
| ~ spl0_6
| ~ spl0_106 ),
inference(resolution,[],[f195,f616]) ).
fof(f1507,plain,
( c3_1(a1168)
| c2_1(a1168)
| ~ spl0_6
| ~ spl0_104 ),
inference(resolution,[],[f195,f608]) ).
fof(f1509,plain,
( spl0_60
| spl0_151
| ~ spl0_6
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1507,f607,f194,f852,f409]) ).
fof(f1510,plain,
( spl0_62
| spl0_61
| ~ spl0_6
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1506,f615,f194,f414,f418]) ).
fof(f1513,plain,
( spl0_82
| spl0_154
| ~ spl0_6
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1501,f675,f194,f899,f510]) ).
fof(f1518,plain,
( ! [X0] :
( c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f205,f226]) ).
fof(f1526,plain,
( c3_1(a1178)
| ~ c2_1(a1178)
| ~ spl0_9
| ~ spl0_116 ),
inference(resolution,[],[f205,f656]) ).
fof(f1527,plain,
( c3_1(a1175)
| ~ c2_1(a1175)
| ~ spl0_9
| ~ spl0_112 ),
inference(resolution,[],[f205,f640]) ).
fof(f1531,plain,
( ! [X0] :
( c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_9
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f1518]) ).
fof(f1535,plain,
( ~ spl0_111
| spl0_158
| ~ spl0_9
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1527,f639,f204,f1017,f635]) ).
fof(f1536,plain,
( ~ spl0_115
| spl0_67
| ~ spl0_9
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1526,f655,f204,f443,f651]) ).
fof(f1540,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1531,f225,f204,f181]) ).
fof(f1553,plain,
( spl0_13
| ~ spl0_10
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1158,f253,f208,f218]) ).
fof(f1558,plain,
( spl0_14
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1216,f289,f284,f222]) ).
fof(f1560,plain,
( spl0_83
| spl0_154
| ~ spl0_32
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1211,f675,f289,f899,f514]) ).
fof(f1561,plain,
( spl0_72
| spl0_71
| ~ spl0_32
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1212,f659,f289,f461,f465]) ).
fof(f1583,plain,
( c2_1(a1211)
| ~ c0_1(a1211)
| ~ spl0_10
| spl0_97 ),
inference(resolution,[],[f209,f580]) ).
fof(f1585,plain,
( c2_1(a1204)
| ~ c0_1(a1204)
| ~ spl0_10
| spl0_94 ),
inference(resolution,[],[f209,f565]) ).
fof(f1590,plain,
( ~ spl0_165
| spl0_93
| ~ spl0_10
| spl0_94 ),
inference(avatar_split_clause,[],[f1585,f564,f208,f560,f1326]) ).
fof(f1591,plain,
( ~ spl0_134
| spl0_155
| ~ spl0_10
| spl0_97 ),
inference(avatar_split_clause,[],[f1583,f579,f208,f934,f727]) ).
fof(f1611,plain,
( c0_1(a1218)
| c2_1(a1218)
| ~ spl0_14
| spl0_98 ),
inference(resolution,[],[f223,f585]) ).
fof(f1612,plain,
( c0_1(a1187)
| c2_1(a1187)
| ~ spl0_14
| spl0_79 ),
inference(resolution,[],[f223,f498]) ).
fof(f1613,plain,
( spl0_80
| spl0_81
| ~ spl0_14
| spl0_79 ),
inference(avatar_split_clause,[],[f1612,f497,f222,f505,f501]) ).
fof(f1614,plain,
( spl0_157
| spl0_100
| ~ spl0_14
| spl0_98 ),
inference(avatar_split_clause,[],[f1611,f584,f222,f592,f988]) ).
fof(f1615,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_8
| ~ spl0_16 ),
inference(resolution,[],[f230,f202]) ).
fof(f1617,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_9
| ~ spl0_16 ),
inference(resolution,[],[f230,f205]) ).
fof(f1620,plain,
( ~ c2_1(a1207)
| c0_1(a1207)
| ~ spl0_16
| spl0_96 ),
inference(resolution,[],[f230,f575]) ).
fof(f1623,plain,
( ~ c2_1(a1194)
| c0_1(a1194)
| ~ spl0_16
| spl0_84 ),
inference(resolution,[],[f230,f520]) ).
fof(f1625,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c3_1(X0) )
| ~ spl0_9
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f1617]) ).
fof(f1627,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_8
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f1615]) ).
fof(f1631,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1625,f229,f204,f215]) ).
fof(f1632,plain,
( spl0_19
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1627,f229,f201,f239]) ).
fof(f1660,plain,
( c3_1(a1174)
| ~ c2_1(a1174)
| ~ spl0_9
| ~ spl0_109 ),
inference(resolution,[],[f628,f205]) ).
fof(f1661,plain,
( ~ spl0_162
| spl0_64
| ~ spl0_9
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1660,f627,f204,f428,f1229]) ).
fof(f1666,plain,
( ~ c0_1(a1236)
| ~ c2_1(a1236)
| ~ spl0_4
| ~ spl0_145 ),
inference(resolution,[],[f188,f775]) ).
fof(f1668,plain,
( ~ c0_1(a1182)
| ~ c2_1(a1182)
| ~ spl0_4
| ~ spl0_136 ),
inference(resolution,[],[f188,f736]) ).
fof(f1669,plain,
( ~ c0_1(a1207)
| ~ c2_1(a1207)
| ~ spl0_4
| ~ spl0_131 ),
inference(resolution,[],[f188,f716]) ).
fof(f1675,plain,
( ~ spl0_132
| ~ spl0_163
| ~ spl0_4
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1669,f715,f187,f1284,f719]) ).
fof(f1676,plain,
( ~ spl0_137
| ~ spl0_168
| ~ spl0_4
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1668,f735,f187,f1393,f740]) ).
fof(f1678,plain,
( ~ spl0_147
| ~ spl0_148
| ~ spl0_4
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1666,f774,f187,f785,f781]) ).
fof(f1680,plain,
( ~ c0_1(a1211)
| ~ c3_1(a1211)
| ~ spl0_5
| spl0_97 ),
inference(resolution,[],[f192,f580]) ).
fof(f1682,plain,
( ~ c0_1(a1204)
| ~ c3_1(a1204)
| ~ spl0_5
| spl0_94 ),
inference(resolution,[],[f192,f565]) ).
fof(f1687,plain,
( ~ spl0_128
| ~ spl0_165
| ~ spl0_5
| spl0_94 ),
inference(avatar_split_clause,[],[f1682,f564,f191,f1326,f703]) ).
fof(f1692,plain,
( ~ c2_1(a1182)
| ~ c0_1(a1182)
| ~ spl0_7
| ~ spl0_138 ),
inference(resolution,[],[f198,f745]) ).
fof(f1697,plain,
( ~ c2_1(a1174)
| ~ c0_1(a1174)
| ~ spl0_7
| ~ spl0_109 ),
inference(resolution,[],[f198,f628]) ).
fof(f1700,plain,
( ~ spl0_110
| ~ spl0_162
| ~ spl0_7
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1697,f627,f197,f1229,f631]) ).
fof(f1701,plain,
( ~ spl0_168
| ~ spl0_137
| ~ spl0_7
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1692,f744,f197,f740,f1393]) ).
fof(f1705,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_9
| ~ spl0_18 ),
inference(resolution,[],[f237,f205]) ).
fof(f1711,plain,
( c3_1(a1194)
| c0_1(a1194)
| ~ spl0_18
| spl0_84 ),
inference(resolution,[],[f237,f520]) ).
fof(f1712,plain,
( c3_1(a1184)
| c0_1(a1184)
| ~ spl0_18
| spl0_75 ),
inference(resolution,[],[f237,f480]) ).
fof(f1713,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_9
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1705]) ).
fof(f1715,plain,
( spl0_76
| spl0_166
| ~ spl0_18
| spl0_75 ),
inference(avatar_split_clause,[],[f1712,f479,f236,f1347,f483]) ).
fof(f1716,plain,
( spl0_85
| spl0_164
| ~ spl0_18
| spl0_84 ),
inference(avatar_split_clause,[],[f1711,f519,f236,f1301,f523]) ).
fof(f1719,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1713,f236,f204,f215]) ).
fof(f1747,plain,
( ~ c3_1(a1182)
| ~ c0_1(a1182)
| ~ spl0_25
| ~ spl0_138 ),
inference(resolution,[],[f261,f745]) ).
fof(f1753,plain,
( ~ c3_1(a1168)
| ~ c0_1(a1168)
| ~ spl0_25
| ~ spl0_104 ),
inference(resolution,[],[f261,f608]) ).
fof(f1755,plain,
( ~ spl0_105
| ~ spl0_151
| ~ spl0_25
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1753,f607,f260,f852,f611]) ).
fof(f1757,plain,
( ~ spl0_168
| ~ spl0_136
| ~ spl0_25
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1747,f744,f260,f735,f1393]) ).
fof(f1765,plain,
( c3_1(a1200)
| c2_1(a1200)
| ~ spl0_31
| spl0_91 ),
inference(resolution,[],[f285,f551]) ).
fof(f1776,plain,
( ~ spl0_115
| ~ spl0_149
| ~ spl0_2
| spl0_67 ),
inference(avatar_split_clause,[],[f1341,f443,f181,f832,f651]) ).
fof(f1778,plain,
( ~ spl0_155
| ~ spl0_134
| ~ spl0_15
| spl0_97 ),
inference(avatar_split_clause,[],[f942,f579,f225,f727,f934]) ).
fof(f1779,plain,
( ~ spl0_132
| ~ spl0_163
| ~ spl0_15
| spl0_96 ),
inference(avatar_split_clause,[],[f1274,f574,f225,f1284,f719]) ).
fof(f1782,plain,
( spl0_163
| ~ spl0_132
| ~ spl0_16
| spl0_96 ),
inference(avatar_split_clause,[],[f1620,f574,f229,f719,f1284]) ).
fof(f1783,plain,
( spl0_85
| ~ spl0_122
| ~ spl0_16
| spl0_84 ),
inference(avatar_split_clause,[],[f1623,f519,f229,f679,f523]) ).
fof(f1787,plain,
( ~ spl0_151
| spl0_60
| ~ spl0_33
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1256,f607,f292,f409,f852]) ).
fof(f1798,plain,
( ~ spl0_155
| ~ spl0_134
| ~ spl0_4
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1381,f723,f187,f727,f934]) ).
fof(f1801,plain,
( ~ spl0_133
| ~ spl0_134
| ~ spl0_5
| spl0_97 ),
inference(avatar_split_clause,[],[f1680,f579,f191,f727,f723]) ).
fof(f1830,plain,
( ~ c0_1(a1169)
| c2_1(a1169)
| ~ spl0_13
| spl0_61 ),
inference(resolution,[],[f219,f415]) ).
fof(f1866,plain,
( ~ c0_1(a1200)
| ~ c3_1(a1200)
| ~ spl0_5
| spl0_91 ),
inference(resolution,[],[f551,f192]) ).
fof(f1867,plain,
( ~ spl0_150
| ~ spl0_125
| ~ spl0_5
| spl0_91 ),
inference(avatar_split_clause,[],[f1866,f550,f191,f691,f841]) ).
fof(f1873,plain,
( c0_1(a1182)
| ~ c3_1(a1182)
| ~ spl0_8
| ~ spl0_138 ),
inference(resolution,[],[f202,f745]) ).
fof(f1874,plain,
( c0_1(a1192)
| ~ c3_1(a1192)
| ~ spl0_8
| ~ spl0_121 ),
inference(resolution,[],[f202,f676]) ).
fof(f1877,plain,
( c0_1(a1175)
| ~ c3_1(a1175)
| ~ spl0_8
| ~ spl0_112 ),
inference(resolution,[],[f202,f640]) ).
fof(f1881,plain,
( ~ spl0_158
| spl0_65
| ~ spl0_8
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1877,f639,f201,f433,f1017]) ).
fof(f1882,plain,
( ~ spl0_154
| spl0_83
| ~ spl0_8
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1874,f675,f201,f514,f899]) ).
fof(f1883,plain,
( ~ spl0_136
| spl0_168
| ~ spl0_8
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1873,f744,f201,f1393,f735]) ).
fof(f1890,plain,
( ~ spl0_125
| spl0_90
| ~ spl0_10
| spl0_91 ),
inference(avatar_split_clause,[],[f867,f550,f208,f546,f691]) ).
fof(f1908,plain,
( spl0_62
| ~ spl0_153
| ~ spl0_13
| spl0_61 ),
inference(avatar_split_clause,[],[f1830,f414,f218,f885,f418]) ).
fof(f1910,plain,
( spl0_90
| spl0_150
| ~ spl0_31
| spl0_91 ),
inference(avatar_split_clause,[],[f1765,f550,f284,f841,f546]) ).
fof(f1938,plain,
( ~ c2_1(a1199)
| c0_1(a1199)
| ~ spl0_12
| spl0_88 ),
inference(resolution,[],[f216,f538]) ).
fof(f1942,plain,
( ~ c2_1(a1178)
| c0_1(a1178)
| ~ spl0_12
| spl0_67 ),
inference(resolution,[],[f216,f444]) ).
fof(f1946,plain,
( ~ c2_1(a1218)
| c0_1(a1218)
| ~ spl0_12
| spl0_98 ),
inference(resolution,[],[f216,f585]) ).
fof(f1949,plain,
( spl0_100
| ~ spl0_157
| ~ spl0_12
| spl0_98 ),
inference(avatar_split_clause,[],[f1946,f584,f215,f988,f592]) ).
fof(f1950,plain,
( spl0_149
| ~ spl0_115
| ~ spl0_12
| spl0_67 ),
inference(avatar_split_clause,[],[f1942,f443,f215,f651,f832]) ).
fof(f1953,plain,
( spl0_89
| ~ spl0_124
| ~ spl0_12
| spl0_88 ),
inference(avatar_split_clause,[],[f1938,f537,f215,f687,f541]) ).
fof(f1959,plain,
( ~ c0_1(a1186)
| c2_1(a1186)
| ~ spl0_13
| spl0_77 ),
inference(resolution,[],[f219,f489]) ).
fof(f1963,plain,
( ~ c0_1(a1174)
| c2_1(a1174)
| ~ spl0_13
| spl0_64 ),
inference(resolution,[],[f219,f429]) ).
fof(f1968,plain,
( spl0_162
| ~ spl0_110
| ~ spl0_13
| spl0_64 ),
inference(avatar_split_clause,[],[f1963,f428,f218,f631,f1229]) ).
fof(f1969,plain,
( spl0_78
| ~ spl0_120
| ~ spl0_13
| spl0_77 ),
inference(avatar_split_clause,[],[f1959,f488,f218,f671,f492]) ).
fof(f1973,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f233,f179]) ).
fof(f1977,plain,
( ~ c3_1(a1194)
| c0_1(a1194)
| ~ spl0_17
| spl0_84 ),
inference(resolution,[],[f233,f520]) ).
fof(f1980,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_1
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f1973]) ).
fof(f1981,plain,
( spl0_85
| ~ spl0_164
| ~ spl0_17
| spl0_84 ),
inference(avatar_split_clause,[],[f1977,f519,f232,f1301,f523]) ).
fof(f1982,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1980,f232,f178,f239]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f189]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f199]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_3
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f206]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_5
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f213]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_5
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f227]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_9
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f234]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_12
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f241]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_9
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f248]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_11
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f255]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_13
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f262]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_8
| spl0_15
| spl0_27 ),
inference(sat_conversion,[],[f270]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_13
| spl0_15
| spl0_28 ),
inference(sat_conversion,[],[f274]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_23
| spl0_26
| spl0_29 ),
inference(sat_conversion,[],[f278]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_10
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s18,plain,
( ~ spl0_3
| spl0_8
| spl0_26
| spl0_29 ),
inference(sat_conversion,[],[f287]) ).
cnf(s19,plain,
( ~ spl0_3
| spl0_30
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f294]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_24
| spl0_31
| spl0_33 ),
inference(sat_conversion,[],[f313]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_11
| spl0_31
| spl0_39 ),
inference(sat_conversion,[],[f317]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_16
| spl0_17
| spl0_41 ),
inference(sat_conversion,[],[f325]) ).
cnf(s27,plain,
( spl0_2
| ~ spl0_3
| spl0_20
| spl0_42 ),
inference(sat_conversion,[],[f329]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_16
| spl0_18
| spl0_42 ),
inference(sat_conversion,[],[f352]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_20
| spl0_29
| spl0_42 ),
inference(sat_conversion,[],[f353]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_4
| spl0_24
| spl0_34 ),
inference(sat_conversion,[],[f354]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_4
| spl0_47
| spl0_49 ),
inference(sat_conversion,[],[f358]) ).
cnf(s37,plain,
( spl0_2
| ~ spl0_3
| spl0_49
| spl0_51 ),
inference(sat_conversion,[],[f366]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_5
| spl0_24
| spl0_54 ),
inference(sat_conversion,[],[f379]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_6
| spl0_54
| spl0_57 ),
inference(sat_conversion,[],[f391]) ).
cnf(s46,plain,
( ~ spl0_3
| spl0_13
| spl0_49
| spl0_51 ),
inference(sat_conversion,[],[f396]) ).
cnf(s47,plain,
( ~ spl0_3
| spl0_13
| spl0_28
| spl0_49 ),
inference(sat_conversion,[],[f397]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_10
| spl0_42 ),
inference(sat_conversion,[],[f403]) ).
cnf(s52,plain,
( ~ spl0_3
| spl0_14
| spl0_30
| spl0_39 ),
inference(sat_conversion,[],[f405]) ).
cnf(s53,plain,
( ~ spl0_3
| spl0_18
| spl0_30
| spl0_42 ),
inference(sat_conversion,[],[f406]) ).
cnf(s54,plain,
( ~ spl0_42
| ~ spl0_60 ),
inference(sat_conversion,[],[f411]) ).
cnf(s55,plain,
( ~ spl0_35
| ~ spl0_61 ),
inference(sat_conversion,[],[f416]) ).
cnf(s56,plain,
( ~ spl0_35
| ~ spl0_62 ),
inference(sat_conversion,[],[f420]) ).
cnf(s57,plain,
( ~ spl0_47
| ~ spl0_63 ),
inference(sat_conversion,[],[f425]) ).
cnf(s58,plain,
( ~ spl0_30
| ~ spl0_64 ),
inference(sat_conversion,[],[f430]) ).
cnf(s59,plain,
( ~ spl0_41
| ~ spl0_65 ),
inference(sat_conversion,[],[f435]) ).
cnf(s61,plain,
( ~ spl0_39
| ~ spl0_67 ),
inference(sat_conversion,[],[f445]) ).
cnf(s65,plain,
( ~ spl0_37
| ~ spl0_71 ),
inference(sat_conversion,[],[f463]) ).
cnf(s66,plain,
( ~ spl0_37
| ~ spl0_72 ),
inference(sat_conversion,[],[f467]) ).
cnf(s68,plain,
( ~ spl0_34
| ~ spl0_74 ),
inference(sat_conversion,[],[f477]) ).
cnf(s69,plain,
( ~ spl0_34
| ~ spl0_75 ),
inference(sat_conversion,[],[f481]) ).
cnf(s70,plain,
( ~ spl0_34
| ~ spl0_76 ),
inference(sat_conversion,[],[f485]) ).
cnf(s71,plain,
( ~ spl0_26
| ~ spl0_77 ),
inference(sat_conversion,[],[f490]) ).
cnf(s72,plain,
( ~ spl0_26
| ~ spl0_78 ),
inference(sat_conversion,[],[f494]) ).
cnf(s73,plain,
( ~ spl0_27
| ~ spl0_79 ),
inference(sat_conversion,[],[f499]) ).
cnf(s74,plain,
( ~ spl0_27
| ~ spl0_80 ),
inference(sat_conversion,[],[f503]) ).
cnf(s75,plain,
( ~ spl0_27
| ~ spl0_81 ),
inference(sat_conversion,[],[f507]) ).
cnf(s76,plain,
( ~ spl0_24
| ~ spl0_82 ),
inference(sat_conversion,[],[f512]) ).
cnf(s77,plain,
( ~ spl0_24
| ~ spl0_83 ),
inference(sat_conversion,[],[f516]) ).
cnf(s78,plain,
( ~ spl0_51
| ~ spl0_84 ),
inference(sat_conversion,[],[f521]) ).
cnf(s79,plain,
( ~ spl0_51
| ~ spl0_85 ),
inference(sat_conversion,[],[f525]) ).
cnf(s82,plain,
( ~ spl0_59
| ~ spl0_88 ),
inference(sat_conversion,[],[f539]) ).
cnf(s83,plain,
( ~ spl0_59
| ~ spl0_89 ),
inference(sat_conversion,[],[f543]) ).
cnf(s84,plain,
( ~ spl0_28
| ~ spl0_90 ),
inference(sat_conversion,[],[f548]) ).
cnf(s85,plain,
( ~ spl0_28
| ~ spl0_91 ),
inference(sat_conversion,[],[f552]) ).
cnf(s87,plain,
( ~ spl0_54
| ~ spl0_93 ),
inference(sat_conversion,[],[f562]) ).
cnf(s88,plain,
( ~ spl0_54
| ~ spl0_94 ),
inference(sat_conversion,[],[f566]) ).
cnf(s90,plain,
( ~ spl0_52
| ~ spl0_96 ),
inference(sat_conversion,[],[f576]) ).
cnf(s91,plain,
( ~ spl0_49
| ~ spl0_97 ),
inference(sat_conversion,[],[f581]) ).
cnf(s92,plain,
( ~ spl0_57
| ~ spl0_98 ),
inference(sat_conversion,[],[f586]) ).
cnf(s93,plain,
( ~ spl0_57
| ~ spl0_99 ),
inference(sat_conversion,[],[f590]) ).
cnf(s94,plain,
( ~ spl0_57
| ~ spl0_100 ),
inference(sat_conversion,[],[f594]) ).
cnf(s97,plain,
( ~ spl0_42
| spl0_104 ),
inference(sat_conversion,[],[f609]) ).
cnf(s98,plain,
( ~ spl0_42
| spl0_105 ),
inference(sat_conversion,[],[f613]) ).
cnf(s99,plain,
( ~ spl0_35
| spl0_106 ),
inference(sat_conversion,[],[f617]) ).
cnf(s100,plain,
( ~ spl0_47
| spl0_107 ),
inference(sat_conversion,[],[f621]) ).
cnf(s101,plain,
( ~ spl0_47
| spl0_108 ),
inference(sat_conversion,[],[f625]) ).
cnf(s102,plain,
( ~ spl0_30
| spl0_109 ),
inference(sat_conversion,[],[f629]) ).
cnf(s103,plain,
( ~ spl0_30
| spl0_110 ),
inference(sat_conversion,[],[f633]) ).
cnf(s104,plain,
( ~ spl0_41
| spl0_111 ),
inference(sat_conversion,[],[f637]) ).
cnf(s105,plain,
( ~ spl0_41
| spl0_112 ),
inference(sat_conversion,[],[f641]) ).
cnf(s108,plain,
( ~ spl0_39
| spl0_115 ),
inference(sat_conversion,[],[f653]) ).
cnf(s109,plain,
( ~ spl0_39
| spl0_116 ),
inference(sat_conversion,[],[f657]) ).
cnf(s110,plain,
( ~ spl0_37
| spl0_117 ),
inference(sat_conversion,[],[f661]) ).
cnf(s113,plain,
( ~ spl0_26
| spl0_120 ),
inference(sat_conversion,[],[f673]) ).
cnf(s114,plain,
( ~ spl0_24
| spl0_121 ),
inference(sat_conversion,[],[f677]) ).
cnf(s115,plain,
( ~ spl0_51
| spl0_122 ),
inference(sat_conversion,[],[f681]) ).
cnf(s117,plain,
( ~ spl0_59
| spl0_124 ),
inference(sat_conversion,[],[f689]) ).
cnf(s118,plain,
( ~ spl0_28
| spl0_125 ),
inference(sat_conversion,[],[f693]) ).
cnf(s121,plain,
( ~ spl0_54
| spl0_128 ),
inference(sat_conversion,[],[f705]) ).
cnf(s124,plain,
( ~ spl0_52
| spl0_131 ),
inference(sat_conversion,[],[f717]) ).
cnf(s125,plain,
( ~ spl0_52
| spl0_132 ),
inference(sat_conversion,[],[f721]) ).
cnf(s126,plain,
( ~ spl0_49
| spl0_133 ),
inference(sat_conversion,[],[f725]) ).
cnf(s127,plain,
( ~ spl0_49
| spl0_134 ),
inference(sat_conversion,[],[f729]) ).
cnf(s129,plain,
( ~ spl0_22
| spl0_136 ),
inference(sat_conversion,[],[f738]) ).
cnf(s130,plain,
( ~ spl0_22
| spl0_137 ),
inference(sat_conversion,[],[f742]) ).
cnf(s131,plain,
( ~ spl0_22
| spl0_138 ),
inference(sat_conversion,[],[f746]) ).
cnf(s138,plain,
( spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f779]) ).
cnf(s139,plain,
( ~ spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f783]) ).
cnf(s140,plain,
( ~ spl0_146
| spl0_148 ),
inference(sat_conversion,[],[f787]) ).
cnf(s141,plain,
( spl0_37
| spl0_52
| spl0_54 ),
inference(sat_conversion,[],[f788]) ).
cnf(s142,plain,
( spl0_39
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f789]) ).
cnf(s143,plain,
( spl0_28
| spl0_35
| spl0_59 ),
inference(sat_conversion,[],[f790]) ).
cnf(s144,plain,
( spl0_24
| spl0_28
| spl0_47 ),
inference(sat_conversion,[],[f791]) ).
cnf(s145,plain,
( spl0_35
| spl0_42
| spl0_51 ),
inference(sat_conversion,[],[f792]) ).
cnf(s155,plain,
( spl0_3
| ~ spl0_37 ),
inference(sat_conversion,[],[f804]) ).
cnf(s175,plain,
( spl0_3
| ~ spl0_146 ),
inference(sat_conversion,[],[f824]) ).
cnf(s176,plain,
( spl0_37
| spl0_146 ),
inference(sat_conversion,[],[f826]) ).
cnf(s217,plain,
( ~ spl0_14
| spl0_82
| spl0_83
| spl0_154 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s234,plain,
( ~ spl0_18
| spl0_98
| spl0_99
| spl0_100 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s244,plain,
( ~ spl0_21
| spl0_82
| spl0_83
| ~ spl0_154 ),
inference(sat_conversion,[],[f1142]) ).
cnf(s253,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_134
| ~ spl0_155 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s257,plain,
( ~ spl0_2
| spl0_64
| ~ spl0_110
| ~ spl0_162 ),
inference(sat_conversion,[],[f1232]) ).
cnf(s261,plain,
( ~ spl0_23
| spl0_64
| ~ spl0_109
| ~ spl0_110 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s270,plain,
( ~ spl0_32
| spl0_67
| ~ spl0_116
| spl0_149 ),
inference(sat_conversion,[],[f1271]) ).
cnf(s276,plain,
( ~ spl0_17
| spl0_96
| ~ spl0_131
| spl0_163 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s288,plain,
( ~ spl0_19
| spl0_63
| ~ spl0_107
| ~ spl0_108 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s290,plain,
( ~ spl0_29
| spl0_93
| spl0_94
| ~ spl0_128 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s292,plain,
( ~ spl0_17
| spl0_94
| ~ spl0_128
| spl0_165 ),
inference(sat_conversion,[],[f1329]) ).
cnf(s304,plain,
( ~ spl0_29
| spl0_74
| spl0_75
| ~ spl0_166 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s305,plain,
( ~ spl0_17
| spl0_75
| spl0_76
| ~ spl0_166 ),
inference(sat_conversion,[],[f1352]) ).
cnf(s335,plain,
( ~ spl0_19
| ~ spl0_136
| ~ spl0_137
| spl0_168 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s338,plain,
( ~ spl0_23
| ~ spl0_104
| ~ spl0_105
| spl0_151 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s361,plain,
( ~ spl0_11
| spl0_60
| ~ spl0_104
| ~ spl0_105 ),
inference(sat_conversion,[],[f1484]) ).
cnf(s365,plain,
( ~ spl0_20
| spl0_93
| spl0_94
| spl0_165 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s368,plain,
( ~ spl0_14
| spl0_61
| spl0_62
| spl0_153 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s372,plain,
( ~ spl0_6
| spl0_60
| ~ spl0_104
| spl0_151 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s373,plain,
( ~ spl0_6
| spl0_61
| spl0_62
| ~ spl0_106 ),
inference(sat_conversion,[],[f1510]) ).
cnf(s376,plain,
( ~ spl0_6
| spl0_82
| ~ spl0_121
| spl0_154 ),
inference(sat_conversion,[],[f1513]) ).
cnf(s381,plain,
( ~ spl0_9
| ~ spl0_111
| ~ spl0_112
| spl0_158 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s382,plain,
( ~ spl0_9
| spl0_67
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s386,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_15 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s399,plain,
( ~ spl0_10
| spl0_13
| ~ spl0_23 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s405,plain,
( spl0_14
| ~ spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s407,plain,
( ~ spl0_32
| spl0_83
| ~ spl0_121
| spl0_154 ),
inference(sat_conversion,[],[f1560]) ).
cnf(s408,plain,
( ~ spl0_32
| spl0_71
| spl0_72
| ~ spl0_117 ),
inference(sat_conversion,[],[f1561]) ).
cnf(s416,plain,
( ~ spl0_10
| spl0_93
| spl0_94
| ~ spl0_165 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s417,plain,
( ~ spl0_10
| spl0_97
| ~ spl0_134
| spl0_155 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s420,plain,
( ~ spl0_14
| spl0_79
| spl0_80
| spl0_81 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s421,plain,
( ~ spl0_14
| spl0_98
| spl0_100
| spl0_157 ),
inference(sat_conversion,[],[f1614]) ).
cnf(s425,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s426,plain,
( ~ spl0_8
| ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s454,plain,
( ~ spl0_9
| spl0_64
| ~ spl0_109
| ~ spl0_162 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s456,plain,
( ~ spl0_4
| ~ spl0_131
| ~ spl0_132
| ~ spl0_163 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s457,plain,
( ~ spl0_4
| ~ spl0_136
| ~ spl0_137
| ~ spl0_168 ),
inference(sat_conversion,[],[f1676]) ).
cnf(s459,plain,
( ~ spl0_4
| ~ spl0_145
| ~ spl0_147
| ~ spl0_148 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s460,plain,
( ~ spl0_5
| spl0_94
| ~ spl0_128
| ~ spl0_165 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s462,plain,
( ~ spl0_7
| ~ spl0_109
| ~ spl0_110
| ~ spl0_162 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s463,plain,
( ~ spl0_7
| ~ spl0_137
| ~ spl0_138
| ~ spl0_168 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s466,plain,
( ~ spl0_18
| spl0_75
| spl0_76
| spl0_166 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s467,plain,
( ~ spl0_18
| spl0_84
| spl0_85
| spl0_164 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s469,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f1719]) ).
cnf(s480,plain,
( ~ spl0_25
| ~ spl0_104
| ~ spl0_105
| ~ spl0_151 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s481,plain,
( ~ spl0_25
| ~ spl0_136
| ~ spl0_138
| ~ spl0_168 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s488,plain,
( ~ spl0_2
| spl0_67
| ~ spl0_115
| ~ spl0_149 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s490,plain,
( ~ spl0_15
| spl0_97
| ~ spl0_134
| ~ spl0_155 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s492,plain,
( ~ spl0_15
| spl0_96
| ~ spl0_132
| ~ spl0_163 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s495,plain,
( ~ spl0_16
| spl0_96
| ~ spl0_132
| spl0_163 ),
inference(sat_conversion,[],[f1782]) ).
cnf(s496,plain,
( ~ spl0_16
| spl0_84
| spl0_85
| ~ spl0_122 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s500,plain,
( ~ spl0_33
| spl0_60
| ~ spl0_104
| ~ spl0_151 ),
inference(sat_conversion,[],[f1787]) ).
cnf(s511,plain,
( ~ spl0_4
| ~ spl0_133
| ~ spl0_134
| ~ spl0_155 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s514,plain,
( ~ spl0_5
| spl0_97
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f1801]) ).
cnf(s552,plain,
( ~ spl0_5
| spl0_91
| ~ spl0_125
| ~ spl0_150 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s553,plain,
( ~ spl0_8
| spl0_65
| ~ spl0_112
| ~ spl0_158 ),
inference(sat_conversion,[],[f1881]) ).
cnf(s554,plain,
( ~ spl0_8
| spl0_83
| ~ spl0_121
| ~ spl0_154 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s555,plain,
( ~ spl0_8
| ~ spl0_136
| ~ spl0_138
| spl0_168 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s562,plain,
( ~ spl0_10
| spl0_90
| spl0_91
| ~ spl0_125 ),
inference(sat_conversion,[],[f1890]) ).
cnf(s581,plain,
( ~ spl0_13
| spl0_61
| spl0_62
| ~ spl0_153 ),
inference(sat_conversion,[],[f1908]) ).
cnf(s583,plain,
( ~ spl0_31
| spl0_90
| spl0_91
| spl0_150 ),
inference(sat_conversion,[],[f1910]) ).
cnf(s592,plain,
( ~ spl0_12
| spl0_98
| spl0_100
| ~ spl0_157 ),
inference(sat_conversion,[],[f1949]) ).
cnf(s593,plain,
( ~ spl0_12
| spl0_67
| ~ spl0_115
| spl0_149 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s596,plain,
( ~ spl0_12
| spl0_88
| spl0_89
| ~ spl0_124 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s598,plain,
( ~ spl0_13
| spl0_64
| ~ spl0_110
| spl0_162 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s599,plain,
( ~ spl0_13
| spl0_77
| spl0_78
| ~ spl0_120 ),
inference(sat_conversion,[],[f1969]) ).
cnf(s601,plain,
( ~ spl0_17
| spl0_84
| spl0_85
| ~ spl0_164 ),
inference(sat_conversion,[],[f1981]) ).
cnf(s602,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f1982]) ).
cnf(s603,plain,
spl0_3,
inference(rat,[],[s176,s155,s175]) ).
cnf(s604,plain,
( spl0_8
| spl0_5
| spl0_2 ),
inference(rat,[],[s420,s73,s74,s75,s6,s13,s386,s3,s603]) ).
cnf(s605,plain,
( ~ spl0_27
| ~ spl0_14 ),
inference(rat,[],[s420,s73,s74,s75]) ).
cnf(s606,plain,
( spl0_10
| spl0_5 ),
inference(rat,[],[s361,s54,s97,s98,s4,s50,s603]) ).
cnf(s607,plain,
( ~ spl0_28
| ~ spl0_10 ),
inference(rat,[],[s562,s84,s85,s118]) ).
cnf(s609,plain,
( ~ spl0_42
| ~ spl0_11 ),
inference(rat,[],[s361,s54,s97,s98]) ).
cnf(s610,plain,
( spl0_12
| spl0_42
| ~ spl0_9 ),
inference(rat,[],[s32,s469,s425,s603]) ).
cnf(s611,plain,
( ~ spl0_41
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s553,s381,s59,s104,s105]) ).
cnf(s613,plain,
( ~ spl0_34
| ~ spl0_17
| ~ spl0_18 ),
inference(rat,[],[s305,s466,s69,s70]) ).
cnf(s615,plain,
( ~ spl0_54
| ~ spl0_17
| ~ spl0_10 ),
inference(rat,[],[s416,s292,s87,s88,s121]) ).
cnf(s619,plain,
( ~ spl0_24
| ~ spl0_14
| ~ spl0_8 ),
inference(rat,[],[s217,s554,s76,s77,s114]) ).
cnf(s620,plain,
( ~ spl0_9
| spl0_5
| spl0_2 ),
inference(rat,[],[s426,s26,s288,s615,s57,s100,s101,s41,s144,s619,s611,s6,s386,s604,s607,s606,s603]) ).
cnf(s621,plain,
( ~ spl0_47
| ~ spl0_19 ),
inference(rat,[],[s288,s57,s100,s101]) ).
cnf(s622,plain,
( ~ spl0_23
| spl0_60
| ~ spl0_104
| ~ spl0_105
| spl0_32 ),
inference(rat,[],[s261,s58,s102,s103,s19,s500,s338,s603]) ).
cnf(s623,plain,
( ~ spl0_22
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s555,s463,s129,s130,s131]) ).
cnf(s624,plain,
( spl0_16
| spl0_6
| spl0_9
| ~ spl0_8
| spl0_5 ),
inference(rat,[],[s10,s622,s609,s54,s97,s98,s407,s32,s554,s234,s77,s114,s92,s93,s94,s41,s44,s615,s7,s606,s623,s2,s603]) ).
cnf(s625,plain,
( ~ spl0_42
| spl0_32
| spl0_22 ),
inference(rat,[],[s10,s622,s609,s54,s97,s98,s603]) ).
cnf(s627,plain,
( ~ spl0_57
| ~ spl0_18 ),
inference(rat,[],[s234,s92,s93,s94]) ).
cnf(s628,plain,
( ~ spl0_54
| ~ spl0_20
| ~ spl0_10 ),
inference(rat,[],[s365,s416,s87,s88]) ).
cnf(s629,plain,
( spl0_6
| spl0_5
| spl0_2 ),
inference(rat,[],[s417,s253,s91,s127,s47,s598,s462,s58,s102,s103,s53,s627,s44,s628,s27,s625,s407,s6,s554,s619,s77,s114,s144,s621,s426,s624,s623,s2,s604,s607,s606,s620,s603]) ).
cnf(s630,plain,
( ~ spl0_24
| ~ spl0_6
| ~ spl0_8 ),
inference(rat,[],[s376,s554,s76,s77,s114]) ).
cnf(s631,plain,
( spl0_5
| spl0_2 ),
inference(rat,[],[s7,s426,s615,s621,s41,s144,s630,s629,s620,s607,s606,s604,s603]) ).
cnf(s632,plain,
( ~ spl0_22
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s457,s555,s129,s130,s131]) ).
cnf(s633,plain,
( ~ spl0_24
| ~ spl0_32
| ~ spl0_8 ),
inference(rat,[],[s407,s554,s77,s114]) ).
cnf(s634,plain,
( ~ spl0_57
| ~ spl0_14
| spl0_19 ),
inference(rat,[],[s592,s8,s421,s627,s92,s94,s603]) ).
cnf(s640,plain,
( ~ spl0_26
| ~ spl0_13 ),
inference(rat,[],[s599,s71,s72,s113]) ).
cnf(s641,plain,
( ~ spl0_59
| ~ spl0_12 ),
inference(rat,[],[s596,s82,s83,s117]) ).
cnf(s642,plain,
( ~ spl0_35
| ~ spl0_6 ),
inference(rat,[],[s373,s55,s56,s99]) ).
cnf(s643,plain,
( ~ spl0_51
| ~ spl0_18
| ~ spl0_17 ),
inference(rat,[],[s467,s601,s78,s79]) ).
cnf(s644,plain,
( ~ spl0_49
| ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s417,s511,s91,s126,s127]) ).
cnf(s645,plain,
( ~ spl0_35
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s368,s581,s55,s56]) ).
cnf(s646,plain,
( ~ spl0_42
| ~ spl0_8
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s7,s643,s469,s8,s641,s143,s645,s37,s644,s426,s405,s621,s23,s144,s633,s399,s607,s16,s500,s480,s338,s10,s625,s609,s54,s97,s98,s632,s603]) ).
cnf(s647,plain,
( ~ spl0_8
| spl0_2
| ~ spl0_4 ),
inference(rat,[],[s611,s26,s7,s643,s32,s496,s78,s79,s115,s37,s644,s50,s646,s603]) ).
cnf(s648,plain,
( ~ spl0_39
| ~ spl0_9 ),
inference(rat,[],[s382,s61,s108,s109]) ).
cnf(s649,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s24,s609,s583,s50,s552,s607,s84,s85,s118,s14,s598,s454,s58,s102,s103,s52,s648,s605,s13,s386,s3,s647,s631,s1,s603]) ).
cnf(s650,plain,
( ~ spl0_39
| ~ spl0_32
| ~ spl0_2 ),
inference(rat,[],[s488,s270,s61,s108,s109]) ).
cnf(s651,plain,
( ~ spl0_32
| spl0_9
| spl0_11
| ~ spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s276,s456,s90,s124,s125,s34,s142,s613,s643,s8,s641,s143,s642,s44,s634,s405,s24,s650,s615,s7,s426,s621,s144,s633,s607,s603]) ).
cnf(s652,plain,
( ~ spl0_14
| spl0_18
| spl0_25
| spl0_28
| ~ spl0_8 ),
inference(rat,[],[s641,s143,s8,s645,s621,s11,s144,s619,s603]) ).
cnf(s653,plain,
( ~ spl0_39
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s488,s593,s61,s108]) ).
cnf(s654,plain,
( ~ spl0_12
| spl0_14
| spl0_7
| spl0_28
| ~ spl0_2 ),
inference(rat,[],[s514,s91,s126,s127,s47,s598,s257,s58,s103,s52,s653,s2,s642,s143,s641,s603]) ).
cnf(s655,plain,
( spl0_47
| ~ spl0_22
| spl0_28
| ~ spl0_8 ),
inference(rat,[],[s2,s514,s630,s91,s126,s127,s144,s35,s623,s632,s603]) ).
cnf(s656,plain,
( spl0_18
| ~ spl0_22
| spl0_28
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s654,s8,s652,s623,s481,s555,s129,s131,s621,s655,s603]) ).
cnf(s657,plain,
( spl0_9
| ~ spl0_42
| ~ spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s630,s34,s44,s613,s627,s656,s615,s7,s426,s621,s655,s632,s625,s651,s607,s609,s603]) ).
cnf(s658,plain,
( ~ spl0_32
| ~ spl0_31
| ~ spl0_9
| spl0_60
| ~ spl0_104
| ~ spl0_105
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s469,s652,s641,s480,s143,s372,s642,s44,s615,s26,s634,s426,s621,s144,s405,s633,s607,s611,s603]) ).
cnf(s659,plain,
( ~ spl0_42
| ~ spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s34,s613,s619,s26,s654,s426,s469,s621,s656,s655,s632,s623,s625,s658,s24,s648,s611,s657,s609,s54,s97,s98,s607,s603]) ).
cnf(s660,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_42
| ~ spl0_10 ),
inference(rat,[],[s642,s145,s44,s643,s615,s627,s603]) ).
cnf(s661,plain,
( spl0_16
| spl0_42
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s611,s26,s7,s660,s32,s603]) ).
cnf(s662,plain,
( spl0_13
| ~ spl0_10 ),
inference(rat,[],[s490,s417,s91,s127,s47,s14,s607,s603]) ).
cnf(s663,plain,
( ~ spl0_30
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s257,s598,s58,s103]) ).
cnf(s664,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s33,s290,s628,s87,s88,s121,s44,s627,s53,s663,s662,s630,s144,s621,s426,s661,s659,s607,s603]) ).
cnf(s665,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s481,s555,s129,s131,s10,s338,s480,s609,s97,s98,s16,s50,s664,s603]) ).
cnf(s666,plain,
( ~ spl0_12
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s645,s52,s143,s653,s641,s607,s663,s662,s603]) ).
cnf(s672,plain,
( ~ spl0_37
| ~ spl0_32 ),
inference(rat,[],[s408,s65,s66,s110]) ).
cnf(s673,plain,
( ~ spl0_32
| spl0_9
| ~ spl0_24
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s7,s495,s276,s492,s90,s124,s125,s141,s672,s628,s13,s9,s605,s244,s52,s407,s650,s665,s663,s662,s114,s77,s76,s603]) ).
cnf(s674,plain,
( spl0_32
| ~ spl0_19
| ~ spl0_42
| spl0_30 ),
inference(rat,[],[s514,s91,s126,s127,s35,s2,s457,s463,s372,s335,s500,s129,s130,s131,s19,s625,s97,s54,s621,s603]) ).
cnf(s675,plain,
( ~ spl0_19
| ~ spl0_42
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s490,s417,s91,s127,s35,s459,s13,s138,s139,s140,s605,s176,s52,s672,s650,s674,s621,s665,s663,s662,s603]) ).
cnf(s676,plain,
( ~ spl0_34
| ~ spl0_18
| ~ spl0_29 ),
inference(rat,[],[s304,s466,s68,s69,s70]) ).
cnf(s677,plain,
( ~ spl0_32
| ~ spl0_18
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s459,s138,s139,s140,s34,s176,s673,s672,s469,s666,s676,s18,s640,s662,s665,s603]) ).
cnf(s678,plain,
( ~ spl0_54
| ~ spl0_29 ),
inference(rat,[],[s290,s87,s88,s121]) ).
cnf(s679,plain,
( ~ spl0_42
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s500,s372,s19,s44,s677,s627,s8,s675,s54,s97,s663,s666,s678,s18,s640,s662,s665,s603]) ).
cnf(s680,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s496,s78,s79,s115,s145,s642,s7,s44,s660,s627,s610,s53,s679,s678,s666,s18,s663,s640,s662,s665,s603]) ).
cnf(s682,plain,
( ~ spl0_13
| spl0_39
| ~ spl0_2 ),
inference(rat,[],[s44,s634,s678,s52,s18,s663,s640,s665,s372,s54,s335,s481,s131,s130,s129,s10,s338,s480,s16,s98,s97,s609,s50,s680,s603]) ).
cnf(s684,plain,
( ~ spl0_49
| ~ spl0_5 ),
inference(rat,[],[s514,s91,s126,s127]) ).
cnf(s685,plain,
( spl0_39
| ~ spl0_2 ),
inference(rat,[],[s583,s552,s84,s85,s118,s47,s682,s24,s609,s50,s684,s606,s680,s603]) ).
cnf(s686,plain,
~ spl0_2,
inference(rat,[],[s496,s78,s79,s115,s46,s7,s640,s292,s15,s460,s678,s88,s121,s44,s627,s8,s653,s648,s685,s684,s335,s481,s129,s130,s131,s10,s372,s338,s480,s609,s54,s97,s98,s606,s16,s50,s680,s603]) ).
cnf(s687,plain,
spl0_1,
inference(rat,[],[s649,s686]) ).
cnf(s688,plain,
spl0_5,
inference(rat,[],[s631,s686]) ).
cnf(s689,plain,
~ spl0_49,
inference(rat,[],[s684,s688]) ).
cnf(s690,plain,
spl0_51,
inference(rat,[],[s37,s686,s603,s689]) ).
cnf(s691,plain,
spl0_122,
inference(rat,[],[s115,s690]) ).
cnf(s692,plain,
~ spl0_85,
inference(rat,[],[s79,s690]) ).
cnf(s693,plain,
~ spl0_84,
inference(rat,[],[s78,s690]) ).
cnf(s694,plain,
~ spl0_16,
inference(rat,[],[s496,s691,s692,s693]) ).
cnf(s695,plain,
( spl0_8
| ~ spl0_13 ),
inference(rat,[],[s454,s598,s58,s102,s103,s52,s605,s13,s648,s386,s3,s603,s686]) ).
cnf(s696,plain,
~ spl0_8,
inference(rat,[],[s611,s26,s7,s602,s621,s35,s647,s603,s694,s687,s689,s686]) ).
cnf(s697,plain,
spl0_9,
inference(rat,[],[s3,s686,s603,s696]) ).
cnf(s698,plain,
~ spl0_13,
inference(rat,[],[s695,s696]) ).
cnf(s700,plain,
~ spl0_39,
inference(rat,[],[s648,s697]) ).
cnf(s701,plain,
~ spl0_10,
inference(rat,[],[s662,s698]) ).
cnf(s702,plain,
spl0_28,
inference(rat,[],[s47,s603,s689,s698]) ).
cnf(s704,plain,
spl0_42,
inference(rat,[],[s50,s603,s701]) ).
cnf(s706,plain,
spl0_125,
inference(rat,[],[s118,s702]) ).
cnf(s707,plain,
~ spl0_91,
inference(rat,[],[s85,s702]) ).
cnf(s708,plain,
~ spl0_90,
inference(rat,[],[s84,s702]) ).
cnf(s716,plain,
~ spl0_11,
inference(rat,[],[s609,s704]) ).
cnf(s718,plain,
~ spl0_150,
inference(rat,[],[s552,s688,s707,s706]) ).
cnf(s720,plain,
spl0_31,
inference(rat,[],[s24,s700,s603,s716]) ).
cnf(s723,plain,
$false,
inference(rat,[],[s583,s707,s708,s720,s718]) ).
fof(f1983,plain,
$false,
inference(avatar_sat_refutation,[],[s723]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN461-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n008.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 16:07:54 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 3.14/1.09 % (2370038)Input is clausal, will run a generic CNF schedule.
% 3.14/1.09 % (2370045)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=34671272:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.14/1.09 % (2370046)lrs+10_1_sil=8000:sp=occurrence:random_seed=2799101453:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.14/1.09 % (2370044)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4231944328:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.14/1.09 % (2370043)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=2684470480:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.14/1.09 % (2370047)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1362810488:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.14/1.09 % (2370049)dis-21_1_sil=8000:lcm=predicate:random_seed=737332509: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)
% 3.14/1.09 % (2370048)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2585461433:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.14/1.09 % (2370049)First to succeed.
% 3.14/1.09 % (2370049)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2370038"
% 3.14/1.09 % (2370046)Also succeeded, but the first one will report.
% 3.14/1.09 % (2370047)Also succeeded, but the first one will report.
% 3.14/1.09 % (2370048)Also succeeded, but the first one will report.
% 3.14/1.09 % (2370049)Refutation found. Thanks to Tanya!
% 3.14/1.09 % SZS status Unsatisfiable for theBenchmark
% 3.14/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.19 % (2370049)------------------------------
% 3.64/1.19 % (2370049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.19 % (2370049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.19 % (2370049)CaDiCaL version: 2.1.3
% 3.64/1.19 % (2370049)Termination reason: Refutation
% 3.64/1.19 % (2370049)Time elapsed: 0.029 s
% 3.64/1.19 % (2370049)Peak memory usage: 90 MB
% 3.64/1.19 % (2370049)Instructions burned: 45 (million)
% 3.64/1.19 % (2370049)------------------------------
% 3.64/1.19 % (2370049)------------------------------
% 3.64/1.19 % (2370038)Success in time 0.446 s
% 3.64/1.19 % Vampire exiting
%------------------------------------------------------------------------------