%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN511-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:00:34 PM UTC 2026
% Result : Unsatisfiable 0.65s 0.98s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 223
% Syntax : Number of formulae : 738 ( 17 unt; 121 def)
% Number of atoms : 2316 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2850 (1272 ~;1457 |; 0 &)
% ( 121 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 148 ( 147 usr; 144 prp; 0-1 aty)
% Number of functors : 21 ( 21 usr; 21 con; 0-0 aty)
% Number of variables : 124 ( 0 sgn 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f20,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f33,negated_conjecture,
( hskp28
| hskp30
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp28
| hskp19
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f36,negated_conjecture,
( hskp30
| hskp26
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( hskp11
| hskp21
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f39,negated_conjecture,
( hskp29
| hskp0
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( hskp22
| hskp8
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f42,negated_conjecture,
( ~ hskp30
| c0_1(a753) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp30
| c2_1(a753) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp30
| c3_1(a753) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp29
| c1_1(a725) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp29
| c2_1(a725) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp29
| c3_1(a725) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp28
| c0_1(a678) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp28
| c1_1(a678) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp28
| c3_1(a678) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f54,negated_conjecture,
( ~ hskp26
| c1_1(a762) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp24
| c0_1(a731) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f58,negated_conjecture,
( ~ hskp22
| c1_1(a716) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp22
| c2_1(a716) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp21
| c0_1(a715) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp20
| c0_1(a711) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp20
| c1_1(a711) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp19
| c1_1(a710) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp19
| c2_1(a710) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f67,negated_conjecture,
( ~ hskp16
| c2_1(a702) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp16
| c3_1(a702) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp15
| c2_1(a700) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp14
| c0_1(a696) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp14
| c2_1(a696) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp13
| c0_1(a688) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp13
| c1_1(a688) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp12
| c3_1(a684) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp11
| c0_1(a683) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp11
| c3_1(a683) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp10
| c2_1(a681) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp10
| c3_1(a681) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp9
| c2_1(a680) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp8
| c1_1(a679) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp8
| c3_1(a679) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp7
| c1_1(a675) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp7
| c3_1(a675) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f87,negated_conjecture,
( ~ hskp2
| c3_1(a670) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f89,negated_conjecture,
( ~ hskp0
| c1_1(a668) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ c0_1(a762)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ c3_1(a762)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f95,negated_conjecture,
( ~ c1_1(a731)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ c3_1(a731)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f98,negated_conjecture,
( ~ c3_1(a716)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c2_1(a715)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c3_1(a715)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c2_1(a711)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c0_1(a710)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f107,negated_conjecture,
( ~ c1_1(a702)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c0_1(a700)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c3_1(a700)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c3_1(a696)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c3_1(a688)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ c0_1(a684)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ c2_1(a684)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c2_1(a683)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c0_1(a681)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c1_1(a680)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c3_1(a680)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c0_1(a679)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c2_1(a675)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f129,negated_conjecture,
( ~ c0_1(a670)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c1_1(a670)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f133,negated_conjecture,
( ~ c2_1(a668)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ c3_1(a668)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp8
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f145,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp21
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp20
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp29
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f152,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp11
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp24
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f155,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp28
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f157,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp14
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c1_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
fof(f191,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| c2_1(X0)
| c2_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| c3_1(X0)
| c2_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X2)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| c0_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
fof(f206,definition,
( spl0_1
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f207,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| ~ c1_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl0_2
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f210,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f215,definition,
( spl0_4
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f216,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f217,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f204,f215,f212,f209,f206]) ).
fof(f219,definition,
( spl0_5
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f220,plain,
( ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f223,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_7
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f227,plain,
( ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| c0_1(X2) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,definition,
( spl0_8
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f230,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,definition,
( spl0_9
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f233,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl0_7
| spl0_8
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f202,f232,f212,f229,f226]) ).
fof(f236,definition,
( spl0_10
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f237,plain,
( ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f239,definition,
( spl0_11
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f240,plain,
( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,definition,
( spl0_12
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f243,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
( spl0_10
| spl0_8
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f200,f215,f212,f229,f236]) ).
fof(f247,definition,
( spl0_13
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f248,plain,
( ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f250,definition,
( spl0_14
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f251,plain,
( ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f252,plain,
( spl0_13
| spl0_14
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f199,f242,f212,f250,f247]) ).
fof(f254,definition,
( spl0_15
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f255,plain,
( ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| c1_1(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,definition,
( spl0_16
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f258,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,definition,
( spl0_17
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f261,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( spl0_15
| spl0_16
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f198,f260,f212,f257,f254]) ).
fof(f269,definition,
( spl0_19
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f270,plain,
( ! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,definition,
( spl0_20
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f273,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( spl0_19
| spl0_14
| ~ spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f195,f272,f212,f250,f269]) ).
fof(f276,definition,
( spl0_21
<=> ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f277,plain,
( ! [X0] :
( ~ c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_13
| spl0_8
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f193,f257,f212,f229,f247]) ).
fof(f281,definition,
( spl0_22
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f282,plain,
( ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f283,plain,
( spl0_22
| spl0_5
| ~ spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f192,f272,f212,f219,f281]) ).
fof(f284,plain,
( spl0_12
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f191,f215,f212,f242]) ).
fof(f286,definition,
( spl0_23
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f289,definition,
( spl0_24
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f290,plain,
( ! [X1] :
( c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_25
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f295,plain,
( spl0_25
| spl0_1
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f189,f232,f212,f206,f293]) ).
fof(f300,definition,
( spl0_27
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f301,plain,
( ! [X1] :
( c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f308,definition,
( spl0_29
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f311,definition,
( spl0_30
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f312,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
( spl0_29
| spl0_30
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f186,f232,f212,f311,f308]) ).
fof(f315,definition,
( spl0_31
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f318,definition,
( spl0_32
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f319,plain,
( ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f320,plain,
( spl0_31
| spl0_32
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f185,f215,f212,f318,f315]) ).
fof(f325,plain,
( spl0_29
| spl0_8
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f183,f222,f212,f229,f308]) ).
fof(f331,definition,
( spl0_35
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f335,definition,
( spl0_36
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f339,definition,
( spl0_37
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f341,plain,
( spl0_37
| spl0_22
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f179,f242,f212,f281,f339]) ).
fof(f343,definition,
( spl0_38
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f345,plain,
( spl0_38
| spl0_15
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f178,f239,f212,f254,f343]) ).
fof(f346,plain,
( spl0_35
| spl0_30
| ~ spl0_3
| spl0_24 ),
inference(avatar_split_clause,[],[f177,f289,f212,f311,f331]) ).
fof(f351,definition,
( spl0_40
<=> ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f352,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f361,plain,
( spl0_1
| ~ spl0_3
| spl0_40 ),
inference(avatar_split_clause,[],[f174,f351,f212,f206]) ).
fof(f370,plain,
( spl0_36
| spl0_19
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f171,f257,f212,f269,f335]) ).
fof(f372,definition,
( spl0_45
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f376,definition,
( spl0_46
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f378,plain,
( spl0_46
| spl0_19
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f169,f229,f212,f269,f376]) ).
fof(f380,definition,
( spl0_47
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f383,definition,
( spl0_48
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f384,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( spl0_47
| spl0_48
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f168,f257,f212,f383,f380]) ).
fof(f387,definition,
( spl0_49
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f389,plain,
( spl0_49
| spl0_13
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f167,f239,f212,f247,f387]) ).
fof(f390,plain,
( spl0_35
| spl0_7
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f166,f300,f212,f226,f331]) ).
fof(f407,definition,
( spl0_53
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f418,definition,
( spl0_56
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f421,definition,
( spl0_57
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f423,plain,
( spl0_56
| spl0_57
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f157,f222,f212,f421,f418]) ).
fof(f425,plain,
( spl0_35
| spl0_37
| ~ spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f155,f272,f212,f339,f331]) ).
fof(f427,plain,
( spl0_31
| spl0_56
| ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f153,f276,f212,f418,f315]) ).
fof(f428,plain,
( spl0_29
| spl0_49
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f152,f209,f212,f387,f308]) ).
fof(f432,definition,
( spl0_58
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f434,plain,
( spl0_25
| spl0_58
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f149,f219,f212,f432,f293]) ).
fof(f436,definition,
( spl0_59
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f438,plain,
( spl0_31
| spl0_59
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f148,f219,f212,f436,f315]) ).
fof(f441,definition,
( spl0_60
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f445,definition,
( spl0_61
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f447,plain,
( spl0_61
| spl0_23
| ~ spl0_3
| spl0_32 ),
inference(avatar_split_clause,[],[f145,f318,f212,f286,f445]) ).
fof(f452,plain,
( spl0_53
| spl0_45
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f140,f281,f212,f372,f407]) ).
fof(f460,definition,
( spl0_62
<=> c3_1(a668) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f461,plain,
( ~ c3_1(a668)
| spl0_62 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( ~ spl0_46
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f134,f460,f376]) ).
fof(f464,definition,
( spl0_63
<=> c2_1(a668) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f466,plain,
( ~ spl0_46
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f133,f464,f376]) ).
fof(f478,definition,
( spl0_66
<=> c1_1(a670) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f480,plain,
( ~ spl0_60
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f130,f478,f441]) ).
fof(f482,definition,
( spl0_67
<=> c0_1(a670) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f484,plain,
( ~ spl0_60
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f129,f482,f441]) ).
fof(f527,definition,
( spl0_77
<=> c2_1(a675) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f529,plain,
( ~ spl0_47
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f119,f527,f380]) ).
fof(f532,definition,
( spl0_78
<=> c0_1(a679) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f534,plain,
( ~ spl0_45
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f118,f532,f372]) ).
fof(f537,definition,
( spl0_79
<=> c3_1(a680) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f538,plain,
( ~ c3_1(a680)
| spl0_79 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f539,plain,
( ~ spl0_53
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f117,f537,f407]) ).
fof(f541,definition,
( spl0_80
<=> c1_1(a680) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f543,plain,
( ~ spl0_53
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f116,f541,f407]) ).
fof(f546,definition,
( spl0_81
<=> c0_1(a681) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f548,plain,
( ~ spl0_35
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f115,f546,f331]) ).
fof(f551,definition,
( spl0_82
<=> c2_1(a683) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f552,plain,
( ~ c2_1(a683)
| spl0_82 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f553,plain,
( ~ spl0_49
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f114,f551,f387]) ).
fof(f556,definition,
( spl0_83
<=> c2_1(a684) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f557,plain,
( ~ c2_1(a684)
| spl0_83 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( ~ spl0_36
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f113,f556,f335]) ).
fof(f560,definition,
( spl0_84
<=> c0_1(a684) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f562,plain,
( ~ spl0_36
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f112,f560,f335]) ).
fof(f565,definition,
( spl0_85
<=> c3_1(a688) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f566,plain,
( ~ c3_1(a688)
| spl0_85 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f567,plain,
( ~ spl0_38
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f111,f565,f343]) ).
fof(f570,definition,
( spl0_86
<=> c3_1(a696) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f571,plain,
( ~ c3_1(a696)
| spl0_86 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f572,plain,
( ~ spl0_57
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f110,f570,f421]) ).
fof(f575,definition,
( spl0_87
<=> c3_1(a700) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f576,plain,
( ~ c3_1(a700)
| spl0_87 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f577,plain,
( ~ spl0_25
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f109,f575,f293]) ).
fof(f579,definition,
( spl0_88
<=> c0_1(a700) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f581,plain,
( ~ spl0_25
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f108,f579,f293]) ).
fof(f584,definition,
( spl0_89
<=> c1_1(a702) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f586,plain,
( ~ spl0_29
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f107,f584,f308]) ).
fof(f607,definition,
( spl0_94
<=> c0_1(a710) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f609,plain,
( ~ spl0_31
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f102,f607,f315]) ).
fof(f612,definition,
( spl0_95
<=> c2_1(a711) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f613,plain,
( ~ c2_1(a711)
| spl0_95 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f614,plain,
( ~ spl0_59
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f101,f612,f436]) ).
fof(f617,definition,
( spl0_96
<=> c3_1(a715) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f618,plain,
( ~ c3_1(a715)
| spl0_96 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f619,plain,
( ~ spl0_23
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f100,f617,f286]) ).
fof(f621,definition,
( spl0_97
<=> c2_1(a715) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f622,plain,
( ~ c2_1(a715)
| spl0_97 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f623,plain,
( ~ spl0_23
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f99,f621,f286]) ).
fof(f626,definition,
( spl0_98
<=> c3_1(a716) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f627,plain,
( ~ c3_1(a716)
| spl0_98 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f628,plain,
( ~ spl0_61
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f98,f626,f445]) ).
fof(f636,definition,
( spl0_100
<=> c3_1(a731) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f637,plain,
( ~ c3_1(a731)
| spl0_100 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f638,plain,
( ~ spl0_56
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f96,f636,f418]) ).
fof(f640,definition,
( spl0_101
<=> c1_1(a731) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f642,plain,
( ~ spl0_56
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f95,f640,f418]) ).
fof(f659,definition,
( spl0_106
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f662,definition,
( spl0_107
<=> c3_1(a762) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f663,plain,
( ~ c3_1(a762)
| spl0_107 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( ~ spl0_106
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f91,f662,f659]) ).
fof(f666,definition,
( spl0_108
<=> c0_1(a762) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f668,plain,
( ~ spl0_106
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f90,f666,f659]) ).
fof(f670,definition,
( spl0_109
<=> c1_1(a668) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f672,plain,
( spl0_109
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f89,f376,f670]) ).
fof(f678,definition,
( spl0_111
<=> c3_1(a670) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f679,plain,
( c3_1(a670)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f680,plain,
( spl0_111
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f87,f441,f678]) ).
fof(f694,definition,
( spl0_115
<=> c3_1(a675) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f695,plain,
( c3_1(a675)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( spl0_115
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f83,f380,f694]) ).
fof(f698,definition,
( spl0_116
<=> c1_1(a675) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f700,plain,
( spl0_116
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f82,f380,f698]) ).
fof(f702,definition,
( spl0_117
<=> c3_1(a679) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f703,plain,
( c3_1(a679)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f704,plain,
( spl0_117
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f81,f372,f702]) ).
fof(f706,definition,
( spl0_118
<=> c1_1(a679) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f708,plain,
( spl0_118
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f80,f372,f706]) ).
fof(f710,definition,
( spl0_119
<=> c2_1(a680) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f711,plain,
( c2_1(a680)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( spl0_119
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f79,f407,f710]) ).
fof(f714,definition,
( spl0_120
<=> c3_1(a681) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f715,plain,
( c3_1(a681)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f716,plain,
( spl0_120
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f78,f331,f714]) ).
fof(f718,definition,
( spl0_121
<=> c2_1(a681) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f719,plain,
( c2_1(a681)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f720,plain,
( spl0_121
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f77,f331,f718]) ).
fof(f722,definition,
( spl0_122
<=> c3_1(a683) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f723,plain,
( c3_1(a683)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( spl0_122
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f76,f387,f722]) ).
fof(f726,definition,
( spl0_123
<=> c0_1(a683) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f728,plain,
( spl0_123
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f75,f387,f726]) ).
fof(f730,definition,
( spl0_124
<=> c3_1(a684) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f731,plain,
( c3_1(a684)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f732,plain,
( spl0_124
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f74,f335,f730]) ).
fof(f734,definition,
( spl0_125
<=> c1_1(a688) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f736,plain,
( spl0_125
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f73,f343,f734]) ).
fof(f738,definition,
( spl0_126
<=> c0_1(a688) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f740,plain,
( spl0_126
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f72,f343,f738]) ).
fof(f742,definition,
( spl0_127
<=> c2_1(a696) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f744,plain,
( spl0_127
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f71,f421,f742]) ).
fof(f746,definition,
( spl0_128
<=> c0_1(a696) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f748,plain,
( spl0_128
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f70,f421,f746]) ).
fof(f750,definition,
( spl0_129
<=> c2_1(a700) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f751,plain,
( c2_1(a700)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f752,plain,
( spl0_129
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f69,f293,f750]) ).
fof(f754,definition,
( spl0_130
<=> c3_1(a702) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f755,plain,
( c3_1(a702)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f756,plain,
( spl0_130
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f68,f308,f754]) ).
fof(f758,definition,
( spl0_131
<=> c2_1(a702) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f759,plain,
( c2_1(a702)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f760,plain,
( spl0_131
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f67,f308,f758]) ).
fof(f770,definition,
( spl0_134
<=> c2_1(a710) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f771,plain,
( c2_1(a710)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f772,plain,
( spl0_134
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f64,f315,f770]) ).
fof(f774,definition,
( spl0_135
<=> c1_1(a710) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f776,plain,
( spl0_135
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f63,f315,f774]) ).
fof(f778,definition,
( spl0_136
<=> c1_1(a711) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f780,plain,
( spl0_136
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f62,f436,f778]) ).
fof(f782,definition,
( spl0_137
<=> c0_1(a711) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f784,plain,
( spl0_137
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f61,f436,f782]) ).
fof(f786,definition,
( spl0_138
<=> c0_1(a715) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f788,plain,
( spl0_138
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f60,f286,f786]) ).
fof(f790,definition,
( spl0_139
<=> c2_1(a716) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f792,plain,
( spl0_139
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f59,f445,f790]) ).
fof(f794,definition,
( spl0_140
<=> c1_1(a716) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f796,plain,
( spl0_140
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f58,f445,f794]) ).
fof(f806,definition,
( spl0_143
<=> c0_1(a731) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f808,plain,
( spl0_143
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f55,f418,f806]) ).
fof(f810,definition,
( spl0_144
<=> c1_1(a762) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f812,plain,
( spl0_144
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f54,f659,f810]) ).
fof(f827,definition,
( spl0_148
<=> c3_1(a678) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f828,plain,
( c3_1(a678)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f830,plain,
( spl0_148
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f50,f339,f827]) ).
fof(f832,definition,
( spl0_149
<=> c1_1(a678) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f834,plain,
( spl0_149
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f49,f339,f832]) ).
fof(f836,definition,
( spl0_150
<=> c0_1(a678) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f838,plain,
( spl0_150
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f48,f339,f836]) ).
fof(f840,definition,
( spl0_151
<=> c3_1(a725) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f841,plain,
( c3_1(a725)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f843,plain,
( spl0_151
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f47,f432,f840]) ).
fof(f845,definition,
( spl0_152
<=> c2_1(a725) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f847,plain,
( spl0_152
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f46,f432,f845]) ).
fof(f849,definition,
( spl0_153
<=> c1_1(a725) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f851,plain,
( spl0_153
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f45,f432,f849]) ).
fof(f853,definition,
( spl0_154
<=> c3_1(a753) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f854,plain,
( c3_1(a753)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f856,definition,
( spl0_155
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f858,plain,
( spl0_154
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f44,f856,f853]) ).
fof(f860,definition,
( spl0_156
<=> c2_1(a753) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f861,plain,
( c2_1(a753)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f862,plain,
( spl0_156
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f43,f856,f860]) ).
fof(f864,definition,
( spl0_157
<=> c0_1(a753) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f866,plain,
( spl0_157
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f42,f856,f864]) ).
fof(f869,plain,
( spl0_46
| spl0_45
| spl0_61 ),
inference(avatar_split_clause,[],[f40,f445,f372,f376]) ).
fof(f870,plain,
( spl0_29
| spl0_46
| spl0_58 ),
inference(avatar_split_clause,[],[f39,f432,f376,f308]) ).
fof(f872,plain,
( spl0_60
| spl0_23
| spl0_49 ),
inference(avatar_split_clause,[],[f37,f387,f286,f441]) ).
fof(f875,plain,
( spl0_36
| spl0_106
| spl0_155 ),
inference(avatar_split_clause,[],[f36,f856,f659,f335]) ).
fof(f877,plain,
( spl0_53
| spl0_31
| spl0_37 ),
inference(avatar_split_clause,[],[f34,f339,f315,f407]) ).
fof(f878,plain,
( spl0_49
| spl0_155
| spl0_37 ),
inference(avatar_split_clause,[],[f33,f339,f856,f387]) ).
fof(f892,plain,
( spl0_3
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f20,f387,f212]) ).
fof(f909,plain,
( spl0_3
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f3,f339,f212]) ).
fof(f911,plain,
( spl0_3
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1,f856,f212]) ).
fof(f921,definition,
( spl0_158
<=> c0_1(a680) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f931,definition,
( spl0_159
<=> c0_1(a668) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f935,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f227,f216]) ).
fof(f939,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f935]) ).
fof(f943,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f939,f226,f215,f206]) ).
fof(f947,plain,
( c0_1(a684)
| ~ c1_1(a684)
| ~ spl0_8
| ~ spl0_124 ),
inference(resolution,[],[f230,f731]) ).
fof(f951,definition,
( spl0_160
<=> c1_1(a684) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f954,plain,
( ~ spl0_160
| spl0_84
| ~ spl0_8
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f947,f730,f229,f560,f951]) ).
fof(f963,definition,
( spl0_161
<=> c1_1(a683) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f981,plain,
( c0_1(a679)
| ~ c1_1(a679)
| ~ spl0_8
| ~ spl0_117 ),
inference(resolution,[],[f703,f230]) ).
fof(f989,plain,
( ~ spl0_118
| spl0_78
| ~ spl0_8
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f981,f702,f229,f532,f706]) ).
fof(f1003,plain,
( ~ c0_1(a683)
| ~ c1_1(a683)
| ~ spl0_14
| spl0_82 ),
inference(resolution,[],[f251,f552]) ).
fof(f1006,plain,
( ~ spl0_161
| ~ spl0_123
| ~ spl0_14
| spl0_82 ),
inference(avatar_split_clause,[],[f1003,f551,f250,f726,f963]) ).
fof(f1011,plain,
( ~ c2_1(a680)
| c1_1(a680)
| ~ spl0_15
| spl0_79 ),
inference(resolution,[],[f255,f538]) ).
fof(f1015,plain,
( spl0_80
| ~ spl0_119
| ~ spl0_15
| spl0_79 ),
inference(avatar_split_clause,[],[f1011,f537,f254,f710,f541]) ).
fof(f1022,plain,
( c2_1(a683)
| ~ c0_1(a683)
| ~ spl0_16
| ~ spl0_122 ),
inference(resolution,[],[f258,f723]) ).
fof(f1038,definition,
( spl0_166
<=> c1_1(a700) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1048,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f273,f223]) ).
fof(f1052,plain,
( c2_1(a684)
| ~ c1_1(a684)
| ~ spl0_20
| ~ spl0_124 ),
inference(resolution,[],[f273,f731]) ).
fof(f1053,plain,
( c2_1(a683)
| ~ c1_1(a683)
| ~ spl0_20
| ~ spl0_122 ),
inference(resolution,[],[f273,f723]) ).
fof(f1055,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_6
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f1048]) ).
fof(f1062,plain,
( c1_1(a702)
| ~ c0_1(a702)
| ~ spl0_21
| ~ spl0_131 ),
inference(resolution,[],[f277,f759]) ).
fof(f1066,definition,
( spl0_167
<=> c0_1(a702) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1074,plain,
( c1_1(a702)
| c0_1(a702)
| ~ spl0_22
| ~ spl0_131 ),
inference(resolution,[],[f282,f759]) ).
fof(f1075,plain,
( c1_1(a700)
| c0_1(a700)
| ~ spl0_22
| ~ spl0_129 ),
inference(resolution,[],[f282,f751]) ).
fof(f1078,plain,
( spl0_88
| spl0_166
| ~ spl0_22
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1075,f750,f281,f1038,f579]) ).
fof(f1086,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_8
| ~ spl0_24 ),
inference(resolution,[],[f290,f230]) ).
fof(f1088,plain,
( ~ c1_1(a716)
| ~ c2_1(a716)
| ~ spl0_24
| spl0_98 ),
inference(resolution,[],[f290,f627]) ).
fof(f1094,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) )
| ~ spl0_8
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f1086]) ).
fof(f1101,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1094,f289,f229,f206]) ).
fof(f1105,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_5
| ~ spl0_12 ),
inference(resolution,[],[f243,f220]) ).
fof(f1111,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) )
| ~ spl0_5
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f1105]) ).
fof(f1116,plain,
( spl0_21
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1111,f242,f219,f276]) ).
fof(f1123,definition,
( spl0_168
<=> c1_1(a715) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1137,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f270,f216]) ).
fof(f1144,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1137]) ).
fof(f1152,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1144,f269,f215,f206]) ).
fof(f1166,plain,
( ~ c1_1(a668)
| c2_1(a668)
| ~ spl0_27
| spl0_62 ),
inference(resolution,[],[f301,f461]) ).
fof(f1173,plain,
( spl0_63
| ~ spl0_109
| ~ spl0_27
| spl0_62 ),
inference(avatar_split_clause,[],[f1166,f460,f300,f670,f464]) ).
fof(f1180,plain,
( c2_1(a684)
| c1_1(a684)
| ~ spl0_30
| ~ spl0_124 ),
inference(resolution,[],[f312,f731]) ).
fof(f1196,plain,
( ~ spl0_161
| spl0_82
| ~ spl0_20
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1053,f722,f272,f551,f963]) ).
fof(f1201,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1055,f272,f222,f250]) ).
fof(f1231,definition,
( spl0_172
<=> c1_1(a681) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1237,plain,
( c1_1(a681)
| c0_1(a681)
| ~ spl0_22
| ~ spl0_121 ),
inference(resolution,[],[f719,f282]) ).
fof(f1248,definition,
( spl0_173
<=> c2_1(a678) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1284,plain,
( c0_1(a681)
| ~ c2_1(a681)
| ~ spl0_2
| ~ spl0_120 ),
inference(resolution,[],[f210,f715]) ).
fof(f1289,plain,
( ~ spl0_121
| spl0_81
| ~ spl0_2
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1284,f714,f209,f546,f718]) ).
fof(f1297,plain,
( ~ c0_1(a715)
| c1_1(a715)
| ~ spl0_5
| spl0_96 ),
inference(resolution,[],[f220,f618]) ).
fof(f1305,plain,
( spl0_168
| ~ spl0_138
| ~ spl0_5
| spl0_96 ),
inference(avatar_split_clause,[],[f1297,f617,f219,f786,f1123]) ).
fof(f1313,plain,
( ~ c2_1(a700)
| c0_1(a700)
| ~ spl0_7
| spl0_87 ),
inference(resolution,[],[f227,f576]) ).
fof(f1321,plain,
( spl0_88
| ~ spl0_129
| ~ spl0_7
| spl0_87 ),
inference(avatar_split_clause,[],[f1313,f575,f226,f750,f579]) ).
fof(f1345,plain,
( ~ c1_1(a725)
| ~ c2_1(a725)
| ~ spl0_4
| ~ spl0_151 ),
inference(resolution,[],[f216,f841]) ).
fof(f1353,plain,
( ~ spl0_152
| ~ spl0_153
| ~ spl0_4
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1345,f840,f215,f849,f845]) ).
fof(f1357,plain,
( ~ c0_1(a731)
| c1_1(a731)
| ~ spl0_5
| spl0_100 ),
inference(resolution,[],[f637,f220]) ).
fof(f1365,plain,
( spl0_101
| ~ spl0_143
| ~ spl0_5
| spl0_100 ),
inference(avatar_split_clause,[],[f1357,f636,f219,f806,f640]) ).
fof(f1370,plain,
( ~ spl0_167
| spl0_89
| ~ spl0_21
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1062,f758,f276,f584,f1066]) ).
fof(f1391,plain,
( ~ c0_1(a678)
| ~ c2_1(a678)
| ~ spl0_12
| ~ spl0_148 ),
inference(resolution,[],[f243,f828]) ).
fof(f1397,plain,
( ~ spl0_173
| ~ spl0_150
| ~ spl0_12
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1391,f827,f242,f836,f1248]) ).
fof(f1402,plain,
( c1_1(a702)
| c0_1(a702)
| ~ spl0_13
| ~ spl0_130 ),
inference(resolution,[],[f248,f755]) ).
fof(f1403,plain,
( c1_1(a684)
| c0_1(a684)
| ~ spl0_13
| ~ spl0_124 ),
inference(resolution,[],[f248,f731]) ).
fof(f1404,plain,
( c1_1(a670)
| c0_1(a670)
| ~ spl0_13
| ~ spl0_111 ),
inference(resolution,[],[f248,f679]) ).
fof(f1407,plain,
( spl0_67
| spl0_66
| ~ spl0_13
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1404,f678,f247,f478,f482]) ).
fof(f1408,plain,
( spl0_167
| spl0_89
| ~ spl0_13
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1402,f754,f247,f584,f1066]) ).
fof(f1415,plain,
( spl0_167
| spl0_89
| ~ spl0_22
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1074,f758,f281,f584,f1066]) ).
fof(f1420,plain,
( spl0_84
| spl0_160
| ~ spl0_13
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1403,f730,f247,f951,f560]) ).
fof(f1430,plain,
( ~ c1_1(a684)
| c0_1(a684)
| ~ spl0_10
| spl0_83 ),
inference(resolution,[],[f557,f237]) ).
fof(f1431,plain,
( spl0_84
| ~ spl0_160
| ~ spl0_10
| spl0_83 ),
inference(avatar_split_clause,[],[f1430,f556,f236,f951,f560]) ).
fof(f1434,plain,
( c2_1(a683)
| c1_1(a683)
| ~ spl0_30
| ~ spl0_122 ),
inference(resolution,[],[f723,f312]) ).
fof(f1436,plain,
( spl0_161
| spl0_82
| ~ spl0_30
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1434,f722,f311,f551,f963]) ).
fof(f1437,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0)
| c0_1(X0) )
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f227,f248]) ).
fof(f1454,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_7
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f1437]) ).
fof(f1459,plain,
( spl0_22
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1454,f247,f226,f281]) ).
fof(f1469,plain,
( ~ c0_1(a696)
| ~ c2_1(a696)
| ~ spl0_17
| spl0_86 ),
inference(resolution,[],[f261,f571]) ).
fof(f1471,plain,
( ~ c0_1(a680)
| ~ c2_1(a680)
| ~ spl0_17
| spl0_79 ),
inference(resolution,[],[f261,f538]) ).
fof(f1481,plain,
( ~ spl0_127
| ~ spl0_128
| ~ spl0_17
| spl0_86 ),
inference(avatar_split_clause,[],[f1469,f570,f260,f746,f742]) ).
fof(f1563,definition,
( spl0_178
<=> c1_1(a753) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f1573,plain,
( ~ spl0_123
| spl0_82
| ~ spl0_16
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1022,f722,f257,f551,f726]) ).
fof(f1589,plain,
( ~ c0_1(a702)
| ~ c2_1(a702)
| ~ spl0_12
| ~ spl0_130 ),
inference(resolution,[],[f755,f243]) ).
fof(f1591,plain,
( ~ spl0_131
| ~ spl0_167
| ~ spl0_12
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1589,f754,f242,f1066,f758]) ).
fof(f1597,plain,
( c1_1(a702)
| ~ c2_1(a702)
| ~ spl0_11
| ~ spl0_130 ),
inference(resolution,[],[f240,f755]) ).
fof(f1600,plain,
( c1_1(a681)
| ~ c2_1(a681)
| ~ spl0_11
| ~ spl0_120 ),
inference(resolution,[],[f240,f715]) ).
fof(f1605,plain,
( ~ spl0_121
| spl0_172
| ~ spl0_11
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1600,f714,f239,f1231,f718]) ).
fof(f1606,plain,
( ~ spl0_131
| spl0_89
| ~ spl0_11
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1597,f754,f239,f584,f758]) ).
fof(f1618,plain,
( spl0_81
| spl0_172
| ~ spl0_22
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1237,f718,f281,f1231,f546]) ).
fof(f1619,plain,
( ~ spl0_139
| ~ spl0_140
| ~ spl0_24
| spl0_98 ),
inference(avatar_split_clause,[],[f1088,f626,f289,f794,f790]) ).
fof(f1645,plain,
( ~ c2_1(a680)
| c0_1(a680)
| ~ spl0_7
| spl0_79 ),
inference(resolution,[],[f227,f538]) ).
fof(f1654,plain,
( spl0_158
| ~ spl0_119
| ~ spl0_7
| spl0_79 ),
inference(avatar_split_clause,[],[f1645,f537,f226,f710,f921]) ).
fof(f1663,plain,
( ~ c0_1(a683)
| ~ c1_1(a683)
| ~ spl0_9
| ~ spl0_122 ),
inference(resolution,[],[f233,f723]) ).
fof(f1668,plain,
( ~ spl0_161
| ~ spl0_123
| ~ spl0_9
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1663,f722,f232,f726,f963]) ).
fof(f1673,plain,
( ~ spl0_160
| spl0_83
| ~ spl0_20
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1052,f730,f272,f556,f951]) ).
fof(f1674,plain,
( spl0_160
| spl0_83
| ~ spl0_30
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1180,f730,f311,f556,f951]) ).
fof(f1680,plain,
( ~ c1_1(a678)
| ~ c2_1(a678)
| ~ spl0_4
| ~ spl0_148 ),
inference(resolution,[],[f216,f828]) ).
fof(f1682,plain,
( ~ spl0_173
| ~ spl0_149
| ~ spl0_4
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1680,f827,f215,f832,f1248]) ).
fof(f1685,plain,
( c2_1(a678)
| ~ c0_1(a678)
| ~ spl0_16
| ~ spl0_148 ),
inference(resolution,[],[f258,f828]) ).
fof(f1687,plain,
( ~ spl0_150
| spl0_173
| ~ spl0_16
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1685,f827,f257,f1248,f836]) ).
fof(f1698,plain,
( ~ c1_1(a753)
| ~ c2_1(a753)
| ~ spl0_4
| ~ spl0_154 ),
inference(resolution,[],[f854,f216]) ).
fof(f1703,plain,
( ~ spl0_156
| ~ spl0_178
| ~ spl0_4
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1698,f853,f215,f1563,f860]) ).
fof(f1739,plain,
( ~ c1_1(a668)
| c0_1(a668)
| ~ spl0_19
| spl0_62 ),
inference(resolution,[],[f270,f461]) ).
fof(f1757,plain,
( c1_1(a753)
| ~ c0_1(a753)
| ~ spl0_21
| ~ spl0_156 ),
inference(resolution,[],[f277,f861]) ).
fof(f1768,plain,
( ~ spl0_157
| spl0_178
| ~ spl0_21
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1757,f860,f276,f1563,f864]) ).
fof(f1786,plain,
( ~ spl0_119
| ~ spl0_158
| ~ spl0_17
| spl0_79 ),
inference(avatar_split_clause,[],[f1471,f537,f260,f921,f710]) ).
fof(f1796,plain,
( c1_1(a680)
| ~ c0_1(a680)
| ~ spl0_21
| ~ spl0_119 ),
inference(resolution,[],[f711,f277]) ).
fof(f1798,plain,
( ~ spl0_158
| spl0_80
| ~ spl0_21
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1796,f710,f276,f541,f921]) ).
fof(f1799,plain,
( ~ c1_1(a681)
| ~ c2_1(a681)
| ~ spl0_4
| ~ spl0_120 ),
inference(resolution,[],[f715,f216]) ).
fof(f1802,plain,
( ~ spl0_121
| ~ spl0_172
| ~ spl0_4
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1799,f714,f215,f1231,f718]) ).
fof(f1812,plain,
( ~ c0_1(a715)
| ~ c1_1(a715)
| ~ spl0_6
| spl0_96 ),
inference(resolution,[],[f223,f618]) ).
fof(f1813,plain,
( ~ c0_1(a688)
| ~ c1_1(a688)
| ~ spl0_6
| spl0_85 ),
inference(resolution,[],[f223,f566]) ).
fof(f1815,plain,
( ~ c0_1(a668)
| ~ c1_1(a668)
| ~ spl0_6
| spl0_62 ),
inference(resolution,[],[f223,f461]) ).
fof(f1820,plain,
( ~ spl0_109
| ~ spl0_159
| ~ spl0_6
| spl0_62 ),
inference(avatar_split_clause,[],[f1815,f460,f222,f931,f670]) ).
fof(f1822,plain,
( ~ spl0_125
| ~ spl0_126
| ~ spl0_6
| spl0_85 ),
inference(avatar_split_clause,[],[f1813,f565,f222,f738,f734]) ).
fof(f1823,plain,
( ~ spl0_168
| ~ spl0_138
| ~ spl0_6
| spl0_96 ),
inference(avatar_split_clause,[],[f1812,f617,f222,f786,f1123]) ).
fof(f1831,plain,
( ~ c0_1(a678)
| ~ c1_1(a678)
| ~ spl0_9
| ~ spl0_148 ),
inference(resolution,[],[f233,f828]) ).
fof(f1835,plain,
( ~ spl0_149
| ~ spl0_150
| ~ spl0_9
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1831,f827,f232,f836,f832]) ).
fof(f1837,plain,
( ~ c0_1(a753)
| ~ c2_1(a753)
| ~ spl0_12
| ~ spl0_154 ),
inference(resolution,[],[f243,f854]) ).
fof(f1838,plain,
( ~ c0_1(a678)
| ~ c2_1(a678)
| ~ spl0_12
| ~ spl0_148 ),
inference(resolution,[],[f243,f828]) ).
fof(f1842,plain,
( ~ spl0_173
| ~ spl0_150
| ~ spl0_12
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1838,f827,f242,f836,f1248]) ).
fof(f1843,plain,
( ~ spl0_156
| ~ spl0_157
| ~ spl0_12
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1837,f853,f242,f864,f860]) ).
fof(f1845,plain,
( ~ c0_1(a715)
| ~ c1_1(a715)
| ~ spl0_14
| spl0_97 ),
inference(resolution,[],[f251,f622]) ).
fof(f1846,plain,
( ~ c0_1(a711)
| ~ c1_1(a711)
| ~ spl0_14
| spl0_95 ),
inference(resolution,[],[f251,f613]) ).
fof(f1857,plain,
( ~ spl0_136
| ~ spl0_137
| ~ spl0_14
| spl0_95 ),
inference(avatar_split_clause,[],[f1846,f612,f250,f782,f778]) ).
fof(f1858,plain,
( ~ spl0_168
| ~ spl0_138
| ~ spl0_14
| spl0_97 ),
inference(avatar_split_clause,[],[f1845,f621,f250,f786,f1123]) ).
fof(f1884,plain,
( c2_1(a678)
| ~ c1_1(a678)
| ~ spl0_20
| ~ spl0_148 ),
inference(resolution,[],[f273,f828]) ).
fof(f1888,plain,
( ~ spl0_149
| spl0_173
| ~ spl0_20
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1884,f827,f272,f1248,f832]) ).
fof(f1895,plain,
( ~ c0_1(a683)
| c1_1(a683)
| ~ spl0_32
| spl0_82 ),
inference(resolution,[],[f319,f552]) ).
fof(f1904,plain,
( spl0_161
| ~ spl0_123
| ~ spl0_32
| spl0_82 ),
inference(avatar_split_clause,[],[f1895,f551,f318,f726,f963]) ).
fof(f1908,plain,
( c1_1(a753)
| ~ c0_1(a753)
| ~ spl0_40
| ~ spl0_154 ),
inference(resolution,[],[f352,f854]) ).
fof(f1911,plain,
( c1_1(a683)
| ~ c0_1(a683)
| ~ spl0_40
| ~ spl0_122 ),
inference(resolution,[],[f352,f723]) ).
fof(f1914,plain,
( ~ spl0_123
| spl0_161
| ~ spl0_40
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1911,f722,f351,f963,f726]) ).
fof(f1916,plain,
( ~ spl0_157
| spl0_178
| ~ spl0_40
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1908,f853,f351,f1563,f864]) ).
fof(f1934,plain,
( spl0_159
| ~ spl0_109
| ~ spl0_19
| spl0_62 ),
inference(avatar_split_clause,[],[f1739,f460,f269,f670,f931]) ).
fof(f1954,plain,
( c0_1(a710)
| ~ c1_1(a710)
| ~ spl0_1
| ~ spl0_134 ),
inference(resolution,[],[f207,f771]) ).
fof(f1955,plain,
( c0_1(a700)
| ~ c1_1(a700)
| ~ spl0_1
| ~ spl0_129 ),
inference(resolution,[],[f207,f751]) ).
fof(f1957,plain,
( c0_1(a681)
| ~ c1_1(a681)
| ~ spl0_1
| ~ spl0_121 ),
inference(resolution,[],[f207,f719]) ).
fof(f1959,plain,
( ~ spl0_172
| spl0_81
| ~ spl0_1
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1957,f718,f206,f546,f1231]) ).
fof(f1960,plain,
( ~ spl0_166
| spl0_88
| ~ spl0_1
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1955,f750,f206,f579,f1038]) ).
fof(f1961,plain,
( ~ spl0_135
| spl0_94
| ~ spl0_1
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1954,f770,f206,f607,f774]) ).
fof(f1985,plain,
( ~ c1_1(a762)
| c0_1(a762)
| ~ spl0_19
| spl0_107 ),
inference(resolution,[],[f270,f663]) ).
fof(f2000,plain,
( spl0_108
| ~ spl0_144
| ~ spl0_19
| spl0_107 ),
inference(avatar_split_clause,[],[f1985,f662,f269,f810,f666]) ).
fof(f2030,plain,
( c2_1(a684)
| c0_1(a684)
| ~ spl0_48
| ~ spl0_124 ),
inference(resolution,[],[f384,f731]) ).
fof(f2035,plain,
( spl0_84
| spl0_83
| ~ spl0_48
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2030,f730,f383,f556,f560]) ).
fof(f2042,plain,
( c2_1(a675)
| ~ c1_1(a675)
| ~ spl0_20
| ~ spl0_115 ),
inference(resolution,[],[f695,f273]) ).
fof(f2051,plain,
( ~ spl0_116
| spl0_77
| ~ spl0_20
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f2042,f694,f272,f527,f698]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f217]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f234]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_4
| spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f245]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_12
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f252]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_15
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f262]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_14
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f274]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_8
| spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f279]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_5
| spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f283]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f284]) ).
cnf(s16,plain,
( spl0_1
| ~ spl0_3
| spl0_9
| spl0_25 ),
inference(sat_conversion,[],[f295]) ).
cnf(s19,plain,
( ~ spl0_3
| spl0_9
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f313]) ).
cnf(s20,plain,
( ~ spl0_3
| spl0_4
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f320]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_6
| spl0_8
| spl0_29 ),
inference(sat_conversion,[],[f325]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_12
| spl0_22
| spl0_37 ),
inference(sat_conversion,[],[f341]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_11
| spl0_15
| spl0_38 ),
inference(sat_conversion,[],[f345]) ).
cnf(s28,plain,
( ~ spl0_3
| spl0_24
| spl0_30
| spl0_35 ),
inference(sat_conversion,[],[f346]) ).
cnf(s31,plain,
( spl0_1
| ~ spl0_3
| spl0_40 ),
inference(sat_conversion,[],[f361]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_16
| spl0_19
| spl0_36 ),
inference(sat_conversion,[],[f370]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_8
| spl0_19
| spl0_46 ),
inference(sat_conversion,[],[f378]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_16
| spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f385]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_11
| spl0_13
| spl0_49 ),
inference(sat_conversion,[],[f389]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_7
| spl0_27
| spl0_35 ),
inference(sat_conversion,[],[f390]) ).
cnf(s48,plain,
( ~ spl0_3
| spl0_6
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f423]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_20
| spl0_35
| spl0_37 ),
inference(sat_conversion,[],[f425]) ).
cnf(s52,plain,
( ~ spl0_3
| spl0_21
| spl0_31
| spl0_56 ),
inference(sat_conversion,[],[f427]) ).
cnf(s53,plain,
( spl0_2
| ~ spl0_3
| spl0_29
| spl0_49 ),
inference(sat_conversion,[],[f428]) ).
cnf(s56,plain,
( ~ spl0_3
| spl0_5
| spl0_25
| spl0_58 ),
inference(sat_conversion,[],[f434]) ).
cnf(s57,plain,
( ~ spl0_3
| spl0_5
| spl0_31
| spl0_59 ),
inference(sat_conversion,[],[f438]) ).
cnf(s60,plain,
( ~ spl0_3
| spl0_23
| spl0_32
| spl0_61 ),
inference(sat_conversion,[],[f447]) ).
cnf(s65,plain,
( ~ spl0_3
| spl0_22
| spl0_45
| spl0_53 ),
inference(sat_conversion,[],[f452]) ).
cnf(s71,plain,
( ~ spl0_46
| ~ spl0_62 ),
inference(sat_conversion,[],[f462]) ).
cnf(s72,plain,
( ~ spl0_46
| ~ spl0_63 ),
inference(sat_conversion,[],[f466]) ).
cnf(s75,plain,
( ~ spl0_60
| ~ spl0_66 ),
inference(sat_conversion,[],[f480]) ).
cnf(s76,plain,
( ~ spl0_60
| ~ spl0_67 ),
inference(sat_conversion,[],[f484]) ).
cnf(s86,plain,
( ~ spl0_47
| ~ spl0_77 ),
inference(sat_conversion,[],[f529]) ).
cnf(s87,plain,
( ~ spl0_45
| ~ spl0_78 ),
inference(sat_conversion,[],[f534]) ).
cnf(s88,plain,
( ~ spl0_53
| ~ spl0_79 ),
inference(sat_conversion,[],[f539]) ).
cnf(s89,plain,
( ~ spl0_53
| ~ spl0_80 ),
inference(sat_conversion,[],[f543]) ).
cnf(s90,plain,
( ~ spl0_35
| ~ spl0_81 ),
inference(sat_conversion,[],[f548]) ).
cnf(s91,plain,
( ~ spl0_49
| ~ spl0_82 ),
inference(sat_conversion,[],[f553]) ).
cnf(s92,plain,
( ~ spl0_36
| ~ spl0_83 ),
inference(sat_conversion,[],[f558]) ).
cnf(s93,plain,
( ~ spl0_36
| ~ spl0_84 ),
inference(sat_conversion,[],[f562]) ).
cnf(s94,plain,
( ~ spl0_38
| ~ spl0_85 ),
inference(sat_conversion,[],[f567]) ).
cnf(s95,plain,
( ~ spl0_57
| ~ spl0_86 ),
inference(sat_conversion,[],[f572]) ).
cnf(s96,plain,
( ~ spl0_25
| ~ spl0_87 ),
inference(sat_conversion,[],[f577]) ).
cnf(s97,plain,
( ~ spl0_25
| ~ spl0_88 ),
inference(sat_conversion,[],[f581]) ).
cnf(s98,plain,
( ~ spl0_29
| ~ spl0_89 ),
inference(sat_conversion,[],[f586]) ).
cnf(s103,plain,
( ~ spl0_31
| ~ spl0_94 ),
inference(sat_conversion,[],[f609]) ).
cnf(s104,plain,
( ~ spl0_59
| ~ spl0_95 ),
inference(sat_conversion,[],[f614]) ).
cnf(s105,plain,
( ~ spl0_23
| ~ spl0_96 ),
inference(sat_conversion,[],[f619]) ).
cnf(s106,plain,
( ~ spl0_23
| ~ spl0_97 ),
inference(sat_conversion,[],[f623]) ).
cnf(s107,plain,
( ~ spl0_61
| ~ spl0_98 ),
inference(sat_conversion,[],[f628]) ).
cnf(s109,plain,
( ~ spl0_56
| ~ spl0_100 ),
inference(sat_conversion,[],[f638]) ).
cnf(s110,plain,
( ~ spl0_56
| ~ spl0_101 ),
inference(sat_conversion,[],[f642]) ).
cnf(s114,plain,
( ~ spl0_106
| ~ spl0_107 ),
inference(sat_conversion,[],[f664]) ).
cnf(s115,plain,
( ~ spl0_106
| ~ spl0_108 ),
inference(sat_conversion,[],[f668]) ).
cnf(s116,plain,
( ~ spl0_46
| spl0_109 ),
inference(sat_conversion,[],[f672]) ).
cnf(s118,plain,
( ~ spl0_60
| spl0_111 ),
inference(sat_conversion,[],[f680]) ).
cnf(s122,plain,
( ~ spl0_47
| spl0_115 ),
inference(sat_conversion,[],[f696]) ).
cnf(s123,plain,
( ~ spl0_47
| spl0_116 ),
inference(sat_conversion,[],[f700]) ).
cnf(s124,plain,
( ~ spl0_45
| spl0_117 ),
inference(sat_conversion,[],[f704]) ).
cnf(s125,plain,
( ~ spl0_45
| spl0_118 ),
inference(sat_conversion,[],[f708]) ).
cnf(s126,plain,
( ~ spl0_53
| spl0_119 ),
inference(sat_conversion,[],[f712]) ).
cnf(s127,plain,
( ~ spl0_35
| spl0_120 ),
inference(sat_conversion,[],[f716]) ).
cnf(s128,plain,
( ~ spl0_35
| spl0_121 ),
inference(sat_conversion,[],[f720]) ).
cnf(s129,plain,
( ~ spl0_49
| spl0_122 ),
inference(sat_conversion,[],[f724]) ).
cnf(s130,plain,
( ~ spl0_49
| spl0_123 ),
inference(sat_conversion,[],[f728]) ).
cnf(s131,plain,
( ~ spl0_36
| spl0_124 ),
inference(sat_conversion,[],[f732]) ).
cnf(s132,plain,
( ~ spl0_38
| spl0_125 ),
inference(sat_conversion,[],[f736]) ).
cnf(s133,plain,
( ~ spl0_38
| spl0_126 ),
inference(sat_conversion,[],[f740]) ).
cnf(s134,plain,
( ~ spl0_57
| spl0_127 ),
inference(sat_conversion,[],[f744]) ).
cnf(s135,plain,
( ~ spl0_57
| spl0_128 ),
inference(sat_conversion,[],[f748]) ).
cnf(s136,plain,
( ~ spl0_25
| spl0_129 ),
inference(sat_conversion,[],[f752]) ).
cnf(s137,plain,
( ~ spl0_29
| spl0_130 ),
inference(sat_conversion,[],[f756]) ).
cnf(s138,plain,
( ~ spl0_29
| spl0_131 ),
inference(sat_conversion,[],[f760]) ).
cnf(s141,plain,
( ~ spl0_31
| spl0_134 ),
inference(sat_conversion,[],[f772]) ).
cnf(s142,plain,
( ~ spl0_31
| spl0_135 ),
inference(sat_conversion,[],[f776]) ).
cnf(s143,plain,
( ~ spl0_59
| spl0_136 ),
inference(sat_conversion,[],[f780]) ).
cnf(s144,plain,
( ~ spl0_59
| spl0_137 ),
inference(sat_conversion,[],[f784]) ).
cnf(s145,plain,
( ~ spl0_23
| spl0_138 ),
inference(sat_conversion,[],[f788]) ).
cnf(s146,plain,
( ~ spl0_61
| spl0_139 ),
inference(sat_conversion,[],[f792]) ).
cnf(s147,plain,
( ~ spl0_61
| spl0_140 ),
inference(sat_conversion,[],[f796]) ).
cnf(s150,plain,
( ~ spl0_56
| spl0_143 ),
inference(sat_conversion,[],[f808]) ).
cnf(s151,plain,
( ~ spl0_106
| spl0_144 ),
inference(sat_conversion,[],[f812]) ).
cnf(s155,plain,
( ~ spl0_37
| spl0_148 ),
inference(sat_conversion,[],[f830]) ).
cnf(s156,plain,
( ~ spl0_37
| spl0_149 ),
inference(sat_conversion,[],[f834]) ).
cnf(s157,plain,
( ~ spl0_37
| spl0_150 ),
inference(sat_conversion,[],[f838]) ).
cnf(s158,plain,
( ~ spl0_58
| spl0_151 ),
inference(sat_conversion,[],[f843]) ).
cnf(s159,plain,
( ~ spl0_58
| spl0_152 ),
inference(sat_conversion,[],[f847]) ).
cnf(s160,plain,
( ~ spl0_58
| spl0_153 ),
inference(sat_conversion,[],[f851]) ).
cnf(s161,plain,
( spl0_154
| ~ spl0_155 ),
inference(sat_conversion,[],[f858]) ).
cnf(s162,plain,
( ~ spl0_155
| spl0_156 ),
inference(sat_conversion,[],[f862]) ).
cnf(s163,plain,
( ~ spl0_155
| spl0_157 ),
inference(sat_conversion,[],[f866]) ).
cnf(s165,plain,
( spl0_45
| spl0_46
| spl0_61 ),
inference(sat_conversion,[],[f869]) ).
cnf(s166,plain,
( spl0_29
| spl0_46
| spl0_58 ),
inference(sat_conversion,[],[f870]) ).
cnf(s168,plain,
( spl0_23
| spl0_49
| spl0_60 ),
inference(sat_conversion,[],[f872]) ).
cnf(s169,plain,
( spl0_36
| spl0_106
| spl0_155 ),
inference(sat_conversion,[],[f875]) ).
cnf(s171,plain,
( spl0_31
| spl0_37
| spl0_53 ),
inference(sat_conversion,[],[f877]) ).
cnf(s172,plain,
( spl0_37
| spl0_49
| spl0_155 ),
inference(sat_conversion,[],[f878]) ).
cnf(s185,plain,
( spl0_3
| ~ spl0_49 ),
inference(sat_conversion,[],[f892]) ).
cnf(s202,plain,
( spl0_3
| ~ spl0_37 ),
inference(sat_conversion,[],[f909]) ).
cnf(s204,plain,
( spl0_3
| ~ spl0_155 ),
inference(sat_conversion,[],[f911]) ).
cnf(s209,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f943]) ).
cnf(s210,plain,
( ~ spl0_8
| spl0_84
| ~ spl0_124
| ~ spl0_160 ),
inference(sat_conversion,[],[f954]) ).
cnf(s215,plain,
( ~ spl0_8
| spl0_78
| ~ spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f989]) ).
cnf(s218,plain,
( ~ spl0_14
| spl0_82
| ~ spl0_123
| ~ spl0_161 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s219,plain,
( ~ spl0_15
| spl0_79
| spl0_80
| ~ spl0_119 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s228,plain,
( ~ spl0_22
| spl0_88
| ~ spl0_129
| spl0_166 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s234,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_24 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s237,plain,
( ~ spl0_5
| ~ spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s248,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_19 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s251,plain,
( ~ spl0_27
| spl0_62
| spl0_63
| ~ spl0_109 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s259,plain,
( ~ spl0_20
| spl0_82
| ~ spl0_122
| ~ spl0_161 ),
inference(sat_conversion,[],[f1196]) ).
cnf(s264,plain,
( ~ spl0_6
| spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s295,plain,
( ~ spl0_2
| spl0_81
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s298,plain,
( ~ spl0_5
| spl0_96
| ~ spl0_138
| spl0_168 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s301,plain,
( ~ spl0_7
| spl0_87
| spl0_88
| ~ spl0_129 ),
inference(sat_conversion,[],[f1321]) ).
cnf(s311,plain,
( ~ spl0_4
| ~ spl0_151
| ~ spl0_152
| ~ spl0_153 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s315,plain,
( ~ spl0_5
| spl0_100
| spl0_101
| ~ spl0_143 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s322,plain,
( ~ spl0_21
| spl0_89
| ~ spl0_131
| ~ spl0_167 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s328,plain,
( ~ spl0_12
| ~ spl0_148
| ~ spl0_150
| ~ spl0_173 ),
inference(sat_conversion,[],[f1397]) ).
cnf(s331,plain,
( ~ spl0_13
| spl0_66
| spl0_67
| ~ spl0_111 ),
inference(sat_conversion,[],[f1407]) ).
cnf(s332,plain,
( ~ spl0_13
| spl0_89
| ~ spl0_130
| spl0_167 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s339,plain,
( ~ spl0_22
| spl0_89
| ~ spl0_131
| spl0_167 ),
inference(sat_conversion,[],[f1415]) ).
cnf(s344,plain,
( ~ spl0_13
| spl0_84
| ~ spl0_124
| spl0_160 ),
inference(sat_conversion,[],[f1420]) ).
cnf(s352,plain,
( ~ spl0_10
| spl0_83
| spl0_84
| ~ spl0_160 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s353,plain,
( ~ spl0_30
| spl0_82
| ~ spl0_122
| spl0_161 ),
inference(sat_conversion,[],[f1436]) ).
cnf(s358,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_22 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s361,plain,
( ~ spl0_17
| spl0_86
| ~ spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s392,plain,
( ~ spl0_16
| spl0_82
| ~ spl0_122
| ~ spl0_123 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s404,plain,
( ~ spl0_12
| ~ spl0_130
| ~ spl0_131
| ~ spl0_167 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s407,plain,
( ~ spl0_11
| ~ spl0_120
| ~ spl0_121
| spl0_172 ),
inference(sat_conversion,[],[f1605]) ).
cnf(s408,plain,
( ~ spl0_11
| spl0_89
| ~ spl0_130
| ~ spl0_131 ),
inference(sat_conversion,[],[f1606]) ).
cnf(s421,plain,
( ~ spl0_22
| spl0_81
| ~ spl0_121
| spl0_172 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s422,plain,
( ~ spl0_24
| spl0_98
| ~ spl0_139
| ~ spl0_140 ),
inference(sat_conversion,[],[f1619]) ).
cnf(s430,plain,
( ~ spl0_7
| spl0_79
| ~ spl0_119
| spl0_158 ),
inference(sat_conversion,[],[f1654]) ).
cnf(s435,plain,
( ~ spl0_9
| ~ spl0_122
| ~ spl0_123
| ~ spl0_161 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s440,plain,
( ~ spl0_20
| spl0_83
| ~ spl0_124
| ~ spl0_160 ),
inference(sat_conversion,[],[f1673]) ).
cnf(s441,plain,
( ~ spl0_30
| spl0_83
| ~ spl0_124
| spl0_160 ),
inference(sat_conversion,[],[f1674]) ).
cnf(s446,plain,
( ~ spl0_4
| ~ spl0_148
| ~ spl0_149
| ~ spl0_173 ),
inference(sat_conversion,[],[f1682]) ).
cnf(s447,plain,
( ~ spl0_16
| ~ spl0_148
| ~ spl0_150
| spl0_173 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s462,plain,
( ~ spl0_4
| ~ spl0_154
| ~ spl0_156
| ~ spl0_178 ),
inference(sat_conversion,[],[f1703]) ).
cnf(s476,plain,
( ~ spl0_21
| ~ spl0_156
| ~ spl0_157
| spl0_178 ),
inference(sat_conversion,[],[f1768]) ).
cnf(s497,plain,
( ~ spl0_17
| spl0_79
| ~ spl0_119
| ~ spl0_158 ),
inference(sat_conversion,[],[f1786]) ).
cnf(s506,plain,
( ~ spl0_21
| spl0_80
| ~ spl0_119
| ~ spl0_158 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s508,plain,
( ~ spl0_4
| ~ spl0_120
| ~ spl0_121
| ~ spl0_172 ),
inference(sat_conversion,[],[f1802]) ).
cnf(s509,plain,
( ~ spl0_6
| spl0_62
| ~ spl0_109
| ~ spl0_159 ),
inference(sat_conversion,[],[f1820]) ).
cnf(s510,plain,
( ~ spl0_6
| spl0_85
| ~ spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f1822]) ).
cnf(s511,plain,
( ~ spl0_6
| spl0_96
| ~ spl0_138
| ~ spl0_168 ),
inference(sat_conversion,[],[f1823]) ).
cnf(s517,plain,
( ~ spl0_9
| ~ spl0_148
| ~ spl0_149
| ~ spl0_150 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s519,plain,
( ~ spl0_12
| ~ spl0_148
| ~ spl0_150
| ~ spl0_173 ),
inference(sat_conversion,[],[f1842]) ).
cnf(s520,plain,
( ~ spl0_12
| ~ spl0_154
| ~ spl0_156
| ~ spl0_157 ),
inference(sat_conversion,[],[f1843]) ).
cnf(s521,plain,
( ~ spl0_14
| spl0_95
| ~ spl0_136
| ~ spl0_137 ),
inference(sat_conversion,[],[f1857]) ).
cnf(s522,plain,
( ~ spl0_14
| spl0_97
| ~ spl0_138
| ~ spl0_168 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s528,plain,
( ~ spl0_20
| ~ spl0_148
| ~ spl0_149
| spl0_173 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s530,plain,
( ~ spl0_32
| spl0_82
| ~ spl0_123
| spl0_161 ),
inference(sat_conversion,[],[f1904]) ).
cnf(s532,plain,
( ~ spl0_40
| ~ spl0_122
| ~ spl0_123
| spl0_161 ),
inference(sat_conversion,[],[f1914]) ).
cnf(s534,plain,
( ~ spl0_40
| ~ spl0_154
| ~ spl0_157
| spl0_178 ),
inference(sat_conversion,[],[f1916]) ).
cnf(s555,plain,
( ~ spl0_19
| spl0_62
| ~ spl0_109
| spl0_159 ),
inference(sat_conversion,[],[f1934]) ).
cnf(s562,plain,
( ~ spl0_1
| spl0_81
| ~ spl0_121
| ~ spl0_172 ),
inference(sat_conversion,[],[f1959]) ).
cnf(s563,plain,
( ~ spl0_1
| spl0_88
| ~ spl0_129
| ~ spl0_166 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s564,plain,
( ~ spl0_1
| spl0_94
| ~ spl0_134
| ~ spl0_135 ),
inference(sat_conversion,[],[f1961]) ).
cnf(s569,plain,
( ~ spl0_19
| spl0_107
| spl0_108
| ~ spl0_144 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s575,plain,
( ~ spl0_48
| spl0_83
| spl0_84
| ~ spl0_124 ),
inference(sat_conversion,[],[f2035]) ).
cnf(s579,plain,
( ~ spl0_20
| spl0_77
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f2051]) ).
cnf(s580,plain,
spl0_3,
inference(rat,[],[s172,s185,s202,s204]) ).
cnf(s581,plain,
( spl0_13
| spl0_8
| spl0_11 ),
inference(rat,[],[s392,s91,s129,s130,s12,s38,s580]) ).
cnf(s582,plain,
( spl0_8
| spl0_22
| spl0_11
| spl0_6
| spl0_7 ),
inference(rat,[],[s517,s155,s156,s157,s26,s404,s332,s581,s98,s137,s138,s3,s22,s580]) ).
cnf(s583,plain,
( ~ spl0_49
| ~ spl0_20
| ~ spl0_40 ),
inference(rat,[],[s259,s532,s91,s129,s130]) ).
cnf(s585,plain,
( ~ spl0_49
| spl0_19
| ~ spl0_40 ),
inference(rat,[],[s10,s218,s532,s583,s91,s129,s130,s580]) ).
cnf(s586,plain,
( ~ spl0_46
| ~ spl0_27 ),
inference(rat,[],[s251,s71,s72,s116]) ).
cnf(s587,plain,
( ~ spl0_122
| spl0_82
| ~ spl0_20
| ~ spl0_30 ),
inference(rat,[],[s353,s259]) ).
cnf(s588,plain,
( ~ spl0_37
| ~ spl0_20
| ~ spl0_4 ),
inference(rat,[],[s446,s528,s155,s156]) ).
cnf(s589,plain,
( ~ spl0_155
| ~ spl0_4
| ~ spl0_40 ),
inference(rat,[],[s462,s534,s161,s162,s163]) ).
cnf(s590,plain,
( spl0_35
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s441,s210,s28,s234,s36,s586,s39,s209,s131,s93,s92,s34,s447,s446,s156,s157,s155,s172,s589,s585,s31,s248,s580]) ).
cnf(s591,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s344,s210,s38,s3,s408,s93,s131,s34,s447,s446,s517,s155,s156,s157,s172,s589,s98,s137,s138,s53,s585,s209,s248,s1,s31,s580]) ).
cnf(s592,plain,
( ~ spl0_35
| ~ spl0_2 ),
inference(rat,[],[s295,s90,s127,s128]) ).
cnf(s593,plain,
( ~ spl0_37
| ~ spl0_20
| ~ spl0_12 ),
inference(rat,[],[s519,s528,s155,s156,s157]) ).
cnf(s594,plain,
( ~ spl0_155
| ~ spl0_12 ),
inference(rat,[],[s520,s161,s162,s163]) ).
cnf(s595,plain,
( ~ spl0_20
| spl0_1 ),
inference(rat,[],[s172,s593,s583,s31,s594,s14,s590,s592,s591,s580]) ).
cnf(s596,plain,
( ~ spl0_36
| ~ spl0_30
| ~ spl0_8 ),
inference(rat,[],[s210,s441,s92,s93,s131]) ).
cnf(s597,plain,
( spl0_36
| spl0_1 ),
inference(rat,[],[s569,s114,s115,s151,s34,s169,s594,s447,s519,s14,s590,s157,s155,s50,s595,s592,s591,s580]) ).
cnf(s598,plain,
spl0_1,
inference(rat,[],[s28,s234,s596,s3,s597,s301,s96,s97,s136,s16,s517,s155,s156,s157,s50,s595,s592,s591,s580]) ).
cnf(s600,plain,
( ~ spl0_36
| ~ spl0_8
| ~ spl0_13 ),
inference(rat,[],[s344,s210,s93,s131]) ).
cnf(s601,plain,
( spl0_36
| spl0_16
| spl0_155 ),
inference(rat,[],[s569,s114,s115,s151,s34,s169,s580]) ).
cnf(s603,plain,
( ~ spl0_38
| ~ spl0_6 ),
inference(rat,[],[s510,s94,s132,s133]) ).
cnf(s604,plain,
( ~ spl0_23
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s298,s511,s105,s145]) ).
cnf(s609,plain,
( ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s215,s87,s124,s125]) ).
cnf(s610,plain,
( ~ spl0_61
| ~ spl0_24 ),
inference(rat,[],[s422,s107,s146,s147]) ).
cnf(s611,plain,
( ~ spl0_8
| spl0_14
| ~ spl0_36
| spl0_20
| spl0_35 ),
inference(rat,[],[s586,s39,s165,s430,s506,s610,s88,s89,s126,s65,s609,s237,s13,s339,s404,s98,s137,s138,s19,s28,s6,s596,s600,s517,s155,s156,s157,s50,s580]) ).
cnf(s612,plain,
( ~ spl0_131
| spl0_89
| ~ spl0_21
| ~ spl0_22 ),
inference(rat,[],[s322,s339]) ).
cnf(s613,plain,
( ~ spl0_58
| ~ spl0_4 ),
inference(rat,[],[s311,s158,s159,s160]) ).
cnf(s614,plain,
( spl0_29
| spl0_8
| ~ spl0_19
| spl0_58 ),
inference(rat,[],[s509,s555,s71,s116,s166,s22,s580]) ).
cnf(s616,plain,
( ~ spl0_36
| ~ spl0_49
| spl0_20
| ~ spl0_8
| spl0_35
| spl0_58 ),
inference(rat,[],[s301,s96,s97,s136,s56,s298,s522,s39,s105,s106,s145,s586,s60,s165,s530,s610,s218,s28,s611,s596,s609,s130,s91,s580]) ).
cnf(s618,plain,
( ~ spl0_56
| ~ spl0_5 ),
inference(rat,[],[s315,s109,s110,s150]) ).
cnf(s619,plain,
~ spl0_31,
inference(rat,[],[s564,s103,s141,s142,s598]) ).
cnf(s620,plain,
( spl0_20
| spl0_35
| ~ spl0_49
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s228,s563,s97,s136,s56,s13,s618,s52,s476,s462,s161,s162,s163,s601,s616,s613,s392,s130,s91,s129,s598,s580,s619]) ).
cnf(s621,plain,
( spl0_35
| ~ spl0_49
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s430,s39,s497,s586,s7,s165,s219,s610,s88,s89,s126,s28,s171,s587,s588,s620,s609,s392,s130,s91,s129,s580,s619]) ).
cnf(s622,plain,
( ~ spl0_57
| ~ spl0_17 ),
inference(rat,[],[s361,s95,s134,s135]) ).
cnf(s623,plain,
( ~ spl0_49
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s579,s86,s122,s123,s37,s575,s92,s93,s131,s601,s594,s26,s588,s13,s618,s48,s622,s603,s27,s7,s219,s88,s89,s126,s65,s421,s407,s508,s90,s127,s128,s621,s392,s91,s129,s130,s609,s580]) ).
cnf(s624,plain,
( ~ spl0_155
| ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s462,s476,s161,s162,s163]) ).
cnf(s625,plain,
( ~ spl0_36
| spl0_9
| spl0_49
| ~ spl0_8 ),
inference(rat,[],[s408,s98,s137,s138,s19,s38,s596,s600,s580]) ).
cnf(s626,plain,
( spl0_20
| spl0_35
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s228,s563,s97,s136,s56,s13,s618,s52,s624,s601,s625,s447,s446,s517,s155,s156,s157,s50,s613,s623,s598,s580,s619]) ).
cnf(s627,plain,
( spl0_37
| spl0_49
| ~ spl0_4 ),
inference(rat,[],[s228,s563,s97,s136,s56,s618,s52,s26,s624,s594,s172,s613,s598,s580,s619]) ).
cnf(s628,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s618,s52,s13,s624,s421,s508,s601,s90,s127,s128,s447,s625,s626,s446,s517,s588,s155,s156,s157,s627,s623,s580,s619]) ).
cnf(s629,plain,
( spl0_29
| spl0_9
| spl0_20
| ~ spl0_49
| ~ spl0_4 ),
inference(rat,[],[s218,s10,s353,s614,s19,s613,s628,s130,s129,s91,s580]) ).
cnf(s630,plain,
( spl0_9
| ~ spl0_21
| ~ spl0_49
| ~ spl0_4 ),
inference(rat,[],[s612,s98,s138,s629,s358,s3,s440,s344,s12,s628,s93,s131,s92,s601,s624,s392,s130,s91,s129,s580]) ).
cnf(s631,plain,
( ~ spl0_37
| ~ spl0_9 ),
inference(rat,[],[s517,s155,s156,s157]) ).
cnf(s632,plain,
( ~ spl0_21
| ~ spl0_49
| ~ spl0_4 ),
inference(rat,[],[s603,s582,s27,s358,s219,s421,s407,s508,s88,s89,s126,s90,s127,s128,s171,s50,s631,s630,s440,s344,s92,s93,s131,s601,s624,s12,s392,s130,s91,s129,s628,s580,s619]) ).
cnf(s633,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s408,s98,s137,s138,s582,s22,s264,s13,s228,s521,s301,s563,s104,s143,s144,s96,s97,s136,s57,s56,s613,s628,s580,s598,s619]) ).
cnf(s634,plain,
( ~ spl0_60
| ~ spl0_13 ),
inference(rat,[],[s331,s75,s76,s118]) ).
cnf(s635,plain,
~ spl0_4,
inference(rat,[],[s612,s98,s138,s22,s604,s168,s634,s358,s12,s447,s3,s446,s631,s155,s156,s157,s172,s632,s624,s52,s618,s633,s628,s580,s619]) ).
cnf(s636,plain,
spl0_32,
inference(rat,[],[s20,s580,s635,s619]) ).
cnf(s637,plain,
spl0_12,
inference(rat,[],[s14,s580,s635]) ).
cnf(s638,plain,
~ spl0_155,
inference(rat,[],[s594,s637]) ).
cnf(s639,plain,
( ~ spl0_49
| ~ spl0_8 ),
inference(rat,[],[s48,s603,s622,s27,s7,s219,s88,s89,s126,s618,s65,s13,s408,s421,s562,s98,s137,s138,s90,s128,s19,s611,s596,s218,s435,s259,s601,s530,s392,s91,s129,s130,s609,s580,s598,s638,s636]) ).
cnf(s640,plain,
~ spl0_8,
inference(rat,[],[s601,s447,s625,s328,s631,s155,s157,s172,s639,s638,s637]) ).
cnf(s641,plain,
spl0_10,
inference(rat,[],[s5,s635,s580,s640]) ).
cnf(s642,plain,
spl0_16,
inference(rat,[],[s352,s344,s92,s93,s131,s601,s12,s641,s638,s580,s640]) ).
cnf(s643,plain,
~ spl0_49,
inference(rat,[],[s392,s91,s129,s130,s642]) ).
cnf(s644,plain,
spl0_37,
inference(rat,[],[s172,s638,s643]) ).
cnf(s645,plain,
spl0_150,
inference(rat,[],[s157,s644]) ).
cnf(s647,plain,
spl0_148,
inference(rat,[],[s155,s644]) ).
cnf(s650,plain,
~ spl0_173,
inference(rat,[],[s328,s637,s645,s647]) ).
cnf(s651,plain,
$false,
inference(rat,[],[s447,s642,s645,s647,s650]) ).
fof(f2052,plain,
$false,
inference(avatar_sat_refutation,[],[s651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN511-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:20:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/0.98 % (1307753)Input is clausal, will run a generic CNF schedule.
% 0.65/0.98 % (1307764)dis-21_1_sil=8000:lcm=predicate:random_seed=1338119970:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.65/0.98 % (1307764)First to succeed.
% 0.65/0.98 % (1307764)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1307753"
% 0.65/0.98 % (1307760)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2772360080:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.65/0.98 % (1307758)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=1519401714:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.65/0.98 % (1307762)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2975260003:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.65/0.98 % (1307761)lrs+10_1_sil=8000:sp=occurrence:random_seed=3766171994:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.65/0.98 % (1307759)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=796138819:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.65/0.98 % (1307763)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=779991559:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.65/0.98 % (1307762)Also succeeded, but the first one will report.
% 0.65/0.98 % (1307763)Also succeeded, but the first one will report.
% 0.65/0.98 % (1307761)Also succeeded, but the first one will report.
% 0.65/0.98 % (1307764)Refutation found. Thanks to Tanya!
% 0.65/0.98 % SZS status Unsatisfiable for theBenchmark
% 0.65/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.82/1.18 % (1307764)------------------------------
% 2.82/1.18 % (1307764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.18 % (1307764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.18 % (1307764)CaDiCaL version: 2.1.3
% 2.82/1.18 % (1307764)Termination reason: Refutation
% 2.82/1.18 % (1307764)Time elapsed: 0.016 s
% 2.82/1.18 % (1307764)Peak memory usage: 90 MB
% 2.82/1.18 % (1307764)Instructions burned: 44 (million)
% 2.82/1.18 % (1307764)------------------------------
% 2.82/1.18 % (1307764)------------------------------
% 2.82/1.18 % (1307753)Success in time 0.308 s
% 2.82/1.18 % Vampire exiting
%------------------------------------------------------------------------------