%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN475-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 02:11:41 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.29s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 237
% Syntax : Number of formulae : 1033 ( 26 unt; 128 def)
% Number of atoms : 3459 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 4366 (1940 ~;2298 |; 0 &)
% ( 128 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 158 ( 157 usr; 154 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 24 con; 0-0 aty)
% Number of variables : 203 ( 0 sgn 203 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ hskp29
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f4,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f27,negated_conjecture,
( ~ hskp3
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f31,negated_conjecture,
( hskp29
| hskp23
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f33,negated_conjecture,
( hskp29
| hskp3
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f35,negated_conjecture,
( hskp27
| hskp6
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f37,negated_conjecture,
( hskp22
| hskp14
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( hskp4
| hskp21
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f40,negated_conjecture,
( ~ hskp29
| c0_1(a1040) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( ~ hskp29
| c1_1(a1040) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( ~ hskp29
| c3_1(a1040) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp28
| c0_1(a1033) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp28
| c1_1(a1033) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp28
| c2_1(a1033) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp27
| c0_1(a1029) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp27
| c2_1(a1029) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp27
| c3_1(a1029) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp26
| c3_1(a1052) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp25
| c1_1(a1048) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp24
| c1_1(a1045) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp24
| c3_1(a1045) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp23
| c0_1(a1044) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( ~ hskp23
| c1_1(a1044) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp22
| c0_1(a1043) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( ~ hskp21
| c2_1(a1041) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f59,negated_conjecture,
( ~ hskp17
| c2_1(a1032) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp17
| c3_1(a1032) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f62,negated_conjecture,
( ~ hskp15
| c2_1(a1026) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp14
| c0_1(a1025) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp13
| c3_1(a1023) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp12
| c1_1(a1019) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp12
| c2_1(a1019) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp11
| c3_1(a1015) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f69,negated_conjecture,
( ~ hskp9
| c0_1(a1011) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp9
| c1_1(a1011) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp8
| c0_1(a1010) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp8
| c3_1(a1010) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp7
| c2_1(a1008) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp6
| c0_1(a1006) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp6
| c3_1(a1006) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp4
| c1_1(a1004) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp4
| c2_1(a1004) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f79,negated_conjecture,
( ~ hskp2
| c0_1(a1002) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp2
| c2_1(a1002) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp1
| c2_1(a1001) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp1
| c3_1(a1001) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f85,negated_conjecture,
( ~ c0_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ c2_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ c0_1(a1048)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ c3_1(a1048)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ c0_1(a1045)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ c3_1(a1044)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ c1_1(a1043)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ c2_1(a1043)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ c0_1(a1041)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ c3_1(a1041)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f96,negated_conjecture,
( ~ c1_1(a1038)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ c2_1(a1038)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f102,negated_conjecture,
( ~ c0_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f105,negated_conjecture,
( ~ c0_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c1_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c2_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c3_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c1_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c2_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c0_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ c0_1(a1015)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ c1_1(a1015)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f116,negated_conjecture,
( ~ c2_1(a1011)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c1_1(a1010)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c1_1(a1008)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c3_1(a1008)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c2_1(a1006)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f124,negated_conjecture,
( ~ c3_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c0_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c2_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c1_1(a1002)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c1_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f133,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp6
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp2
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp28
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f138,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp3
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp24
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp8
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp6
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f147,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp9
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f152,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f155,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X0)
| c1_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f189,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c3_1(X0)
| c2_1(X1)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,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)
| ~ c3_1(X2)
| c0_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| c2_1(X1)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f194,plain,
( hskp26
| ndr1_0 ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f208,plain,
( hskp29
| hskp3
| ~ hskp26 ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f210,plain,
( hskp27
| hskp6
| ~ hskp14 ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f212,plain,
( hskp22
| ~ hskp14
| hskp12 ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f213,plain,
( ~ hskp4
| hskp21
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f215,plain,
( ~ hskp29
| ~ c1_1(a1040) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f216,plain,
( hskp28
| c0_1(a1033) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f217,plain,
( hskp28
| ~ c1_1(a1033) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f218,plain,
( hskp28
| ~ c2_1(a1033) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f219,plain,
( ~ hskp27
| ~ c2_1(a1029) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f220,plain,
( hskp26
| c3_1(a1052) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f221,plain,
( hskp25
| ~ c1_1(a1048) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f222,plain,
( hskp24
| ~ c1_1(a1045) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f223,plain,
( hskp24
| c3_1(a1045) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f224,plain,
( ~ hskp23
| ~ c1_1(a1044) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f225,plain,
( ~ hskp21
| ~ c2_1(a1041) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f228,plain,
( hskp17
| ~ c2_1(a1032) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f229,plain,
( hskp17
| c3_1(a1032) ),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f231,plain,
( ~ hskp15
| ~ c2_1(a1026) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f232,plain,
( hskp14
| c0_1(a1025) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f233,plain,
( ~ hskp12
| ~ c1_1(a1019) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f234,plain,
( ~ hskp12
| ~ c2_1(a1019) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f235,plain,
( hskp11
| c3_1(a1015) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f236,plain,
( hskp9
| c0_1(a1011) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f237,plain,
( hskp9
| ~ c1_1(a1011) ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f238,plain,
( hskp8
| c0_1(a1010) ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f239,plain,
( hskp8
| c3_1(a1010) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f240,plain,
( hskp7
| ~ c2_1(a1008) ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f241,plain,
( hskp4
| ~ c1_1(a1004) ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f242,plain,
( hskp4
| ~ c2_1(a1004) ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f244,plain,
( ~ hskp2
| ~ c2_1(a1002) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f245,plain,
( ~ hskp1
| ~ c2_1(a1001) ),
inference(consistent_polarity_flipping,[],[f81]) ).
fof(f248,plain,
( ~ c0_1(a1052)
| hskp26 ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f249,plain,
( c2_1(a1052)
| hskp26 ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f250,plain,
( ~ c0_1(a1048)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f251,plain,
( ~ c3_1(a1048)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f252,plain,
( ~ c0_1(a1045)
| hskp24 ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f253,plain,
( c1_1(a1043)
| ~ hskp22 ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f254,plain,
( c2_1(a1043)
| ~ hskp22 ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f255,plain,
( c1_1(a1038)
| ~ hskp20 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f256,plain,
( c2_1(a1038)
| ~ hskp20 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f259,plain,
( ~ c0_1(a1032)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f261,plain,
( c1_1(a1026)
| ~ hskp15 ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f262,plain,
( c2_1(a1025)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f263,plain,
( ~ c3_1(a1025)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f264,plain,
( c1_1(a1023)
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f265,plain,
( c2_1(a1023)
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f266,plain,
( ~ c0_1(a1015)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f267,plain,
( c1_1(a1015)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f269,plain,
( c2_1(a1011)
| hskp9 ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f270,plain,
( c1_1(a1010)
| hskp8 ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f271,plain,
( c1_1(a1008)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f272,plain,
( ~ c3_1(a1008)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f273,plain,
( c2_1(a1006)
| ~ hskp6 ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f277,plain,
( ~ c3_1(a1004)
| hskp4 ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f278,plain,
( c2_1(a1003)
| ~ hskp3 ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f279,plain,
( c1_1(a1002)
| ~ hskp2 ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f280,plain,
( c1_1(a1001)
| ~ hskp1 ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f285,plain,
! [X0] :
( c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp6
| hskp12 ),
inference(consistent_polarity_flipping,[],[f133]) ).
fof(f286,plain,
! [X0] :
( c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp2
| hskp1 ),
inference(consistent_polarity_flipping,[],[f134]) ).
fof(f287,plain,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ hskp28
| ~ hskp8 ),
inference(consistent_polarity_flipping,[],[f135]) ).
fof(f290,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| hskp23 ),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f291,plain,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| c3_1(X0)
| hskp3
| ~ hskp25 ),
inference(consistent_polarity_flipping,[],[f139]) ).
fof(f292,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ hskp24
| hskp15 ),
inference(consistent_polarity_flipping,[],[f140]) ).
fof(f293,plain,
! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ hskp8
| ~ hskp26 ),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f294,plain,
! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| hskp6
| hskp13 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f299,plain,
! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f300,plain,
! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ hskp9
| hskp12 ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f304,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| c3_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f307,plain,
! [X0,X1] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f313,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f315,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X1)
| c3_1(X1)
| hskp20 ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f316,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X1)
| ~ c2_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ hskp4 ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f318,plain,
! [X0,X1] :
( c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| ~ hskp11 ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f327,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f328,plain,
! [X0,X1] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| ~ c1_1(X0)
| c0_1(X1)
| ~ hskp8 ),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f329,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| ~ c2_1(X0)
| c0_1(X1)
| ~ hskp14 ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f330,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| c0_1(X1)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f331,plain,
! [X0,X1] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f334,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X1)
| ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f184]) ).
fof(f337,plain,
! [X2,X0,X1] :
( c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| c0_1(X2)
| ~ c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f185]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| c2_1(X2)
| ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X1)
| c0_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| c0_1(X2)
| ~ c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X2)
| c3_1(X0)
| ~ c1_1(X1)
| c0_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f342,plain,
! [X2,X0,X1] :
( c1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X2)
| ~ c3_1(X2)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f343,plain,
! [X2,X0,X1] :
( c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X1)
| ~ c3_1(X1)
| c1_1(X2)
| ~ c3_1(X2)
| c0_1(X1)
| c0_1(X2) ),
inference(consistent_polarity_flipping,[],[f191]) ).
fof(f344,plain,
! [X2,X0,X1] :
( c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f346,definition,
( spl0_1
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f347,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f349,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f350,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f352,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f356,definition,
( spl0_4
<=> ! [X0] :
( c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f357,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f358,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f344,f356,f352,f349,f346]) ).
fof(f360,definition,
( spl0_5
<=> ! [X2] :
( c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f361,plain,
( ! [X2] :
( ~ c3_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,definition,
( spl0_6
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f364,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f343,f356,f352,f363,f360]) ).
fof(f367,definition,
( spl0_7
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f368,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c2_1(X2) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f370,definition,
( spl0_8
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f371,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,definition,
( spl0_9
<=> ! [X0] :
( c1_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f374,plain,
( ! [X0] :
( c3_1(X0)
| c1_1(X0)
| c2_1(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( spl0_7
| spl0_8
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f342,f373,f352,f370,f367]) ).
fof(f377,definition,
( spl0_10
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f378,plain,
( ! [X2] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f380,definition,
( spl0_11
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f381,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f382,plain,
( spl0_10
| spl0_1
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f341,f380,f352,f346,f377]) ).
fof(f384,definition,
( spl0_12
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f385,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f388,definition,
( spl0_13
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f389,plain,
( ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| c2_1(X2) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f391,definition,
( spl0_14
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f392,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f393,plain,
( spl0_13
| spl0_14
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f339,f349,f352,f391,f388]) ).
fof(f395,definition,
( spl0_15
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f396,plain,
( ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f398,definition,
( spl0_16
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f399,plain,
( ! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f400,plain,
( spl0_15
| spl0_14
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f338,f398,f352,f391,f395]) ).
fof(f402,definition,
( spl0_17
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f403,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f405,definition,
( spl0_18
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f406,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f408,definition,
( spl0_19
<=> ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f409,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( spl0_17
| spl0_18
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f337,f408,f352,f405,f402]) ).
fof(f412,definition,
( spl0_20
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f413,plain,
( ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( spl0_20
| spl0_19
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f336,f398,f352,f408,f412]) ).
fof(f416,definition,
( spl0_21
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f417,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| ~ c1_1(X2) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( spl0_21
| spl0_13
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f335,f405,f352,f388,f416]) ).
fof(f420,definition,
( spl0_22
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f424,definition,
( spl0_23
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f425,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( ~ spl0_22
| spl0_11
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f334,f424,f352,f380,f420]) ).
fof(f428,definition,
( spl0_24
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f432,definition,
( spl0_25
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f433,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f436,definition,
( spl0_26
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f437,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,plain,
( spl0_24
| spl0_14
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f331,f367,f352,f391,f428]) ).
fof(f441,definition,
( spl0_27
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f444,plain,
( spl0_27
| spl0_5
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f330,f346,f352,f360,f441]) ).
fof(f446,definition,
( spl0_28
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f450,definition,
( spl0_29
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f451,plain,
( ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c2_1(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f452,plain,
( ~ spl0_28
| spl0_29
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f329,f370,f352,f450,f446]) ).
fof(f454,definition,
( spl0_30
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f457,plain,
( ~ spl0_30
| spl0_29
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f328,f367,f352,f450,f454]) ).
fof(f458,plain,
( spl0_24
| spl0_10
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f327,f432,f352,f377,f428]) ).
fof(f469,definition,
( spl0_33
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f478,definition,
( spl0_35
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f479,plain,
( ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f487,definition,
( spl0_37
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f492,definition,
( spl0_38
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f497,definition,
( spl0_39
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f501,plain,
( ~ spl0_39
| spl0_10
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f318,f360,f352,f377,f497]) ).
fof(f511,definition,
( spl0_42
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f514,plain,
( ~ spl0_42
| spl0_13
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f316,f370,f352,f388,f511]) ).
fof(f516,definition,
( spl0_43
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f519,plain,
( spl0_43
| spl0_35
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f315,f398,f352,f478,f516]) ).
fof(f525,definition,
( spl0_45
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f528,plain,
( spl0_45
| spl0_26
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f313,f370,f352,f436,f525]) ).
fof(f530,definition,
( spl0_46
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f535,definition,
( spl0_47
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f542,plain,
( spl0_24
| spl0_20
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f307,f363,f352,f412,f428]) ).
fof(f544,definition,
( spl0_48
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f553,plain,
( spl0_38
| spl0_26
| ~ spl0_3
| spl0_35 ),
inference(avatar_split_clause,[],[f304,f478,f352,f436,f492]) ).
fof(f555,definition,
( spl0_50
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f563,definition,
( spl0_52
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f568,definition,
( spl0_53
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f572,plain,
( spl0_45
| ~ spl0_37
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f300,f424,f352,f487,f525]) ).
fof(f573,plain,
( ~ spl0_47
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f299,f424,f352,f535]) ).
fof(f575,definition,
( spl0_54
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f585,plain,
( spl0_38
| spl0_24
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f294,f349,f352,f428,f492]) ).
fof(f586,plain,
( ~ spl0_52
| ~ spl0_30
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f293,f349,f352,f454,f563]) ).
fof(f587,plain,
( spl0_27
| ~ spl0_53
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f292,f346,f352,f568,f441]) ).
fof(f589,definition,
( spl0_56
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f592,plain,
( ~ spl0_56
| spl0_48
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f291,f398,f352,f544,f589]) ).
fof(f593,plain,
( spl0_54
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f290,f346,f352,f575]) ).
fof(f595,definition,
( spl0_57
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f599,definition,
( spl0_58
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f609,definition,
( spl0_60
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f612,plain,
( ~ spl0_30
| ~ spl0_60
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f287,f384,f352,f609,f454]) ).
fof(f614,definition,
( spl0_61
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f617,plain,
( spl0_61
| spl0_50
| ~ spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f286,f395,f352,f555,f614]) ).
fof(f618,plain,
( spl0_45
| spl0_24
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f285,f377,f352,f428,f525]) ).
fof(f628,definition,
( spl0_63
<=> c1_1(a1001) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f630,plain,
( c1_1(a1001)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f631,plain,
( ~ spl0_61
| spl0_63 ),
inference(avatar_split_clause,[],[f280,f628,f614]) ).
fof(f633,definition,
( spl0_64
<=> c1_1(a1002) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f635,plain,
( c1_1(a1002)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f636,plain,
( ~ spl0_50
| spl0_64 ),
inference(avatar_split_clause,[],[f279,f633,f555]) ).
fof(f638,definition,
( spl0_65
<=> c2_1(a1003) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f640,plain,
( c2_1(a1003)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f641,plain,
( ~ spl0_48
| spl0_65 ),
inference(avatar_split_clause,[],[f278,f638,f544]) ).
fof(f643,definition,
( spl0_66
<=> c0_1(a1003) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f645,plain,
( ~ c0_1(a1003)
| spl0_66 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f646,plain,
( ~ spl0_48
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f125,f643,f544]) ).
fof(f648,definition,
( spl0_67
<=> c3_1(a1004) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f650,plain,
( ~ c3_1(a1004)
| spl0_67 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,plain,
( spl0_42
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f277,f648,f511]) ).
fof(f668,definition,
( spl0_71
<=> c2_1(a1006) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f670,plain,
( c2_1(a1006)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f671,plain,
( ~ spl0_24
| spl0_71 ),
inference(avatar_split_clause,[],[f273,f668,f428]) ).
fof(f673,definition,
( spl0_72
<=> c3_1(a1008) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f675,plain,
( ~ c3_1(a1008)
| spl0_72 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f676,plain,
( spl0_47
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f272,f673,f535]) ).
fof(f678,definition,
( spl0_73
<=> c1_1(a1008) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f679,plain,
( ~ c1_1(a1008)
| spl0_73 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f680,plain,
( c1_1(a1008)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f681,plain,
( spl0_47
| spl0_73 ),
inference(avatar_split_clause,[],[f271,f678,f535]) ).
fof(f683,definition,
( spl0_74
<=> c1_1(a1010) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f686,plain,
( spl0_30
| spl0_74 ),
inference(avatar_split_clause,[],[f270,f683,f454]) ).
fof(f688,definition,
( spl0_75
<=> c2_1(a1011) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f690,plain,
( c2_1(a1011)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f691,plain,
( spl0_37
| spl0_75 ),
inference(avatar_split_clause,[],[f269,f688,f487]) ).
fof(f703,definition,
( spl0_78
<=> c1_1(a1015) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f705,plain,
( c1_1(a1015)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f706,plain,
( spl0_39
| spl0_78 ),
inference(avatar_split_clause,[],[f267,f703,f497]) ).
fof(f708,definition,
( spl0_79
<=> c0_1(a1015) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f711,plain,
( spl0_39
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f266,f708,f497]) ).
fof(f713,definition,
( spl0_80
<=> c0_1(a1019) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f715,plain,
( ~ c0_1(a1019)
| spl0_80 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f716,plain,
( ~ spl0_45
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f111,f713,f525]) ).
fof(f718,definition,
( spl0_81
<=> c2_1(a1023) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f720,plain,
( c2_1(a1023)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f721,plain,
( ~ spl0_38
| spl0_81 ),
inference(avatar_split_clause,[],[f265,f718,f492]) ).
fof(f723,definition,
( spl0_82
<=> c1_1(a1023) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f725,plain,
( c1_1(a1023)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f726,plain,
( ~ spl0_38
| spl0_82 ),
inference(avatar_split_clause,[],[f264,f723,f492]) ).
fof(f728,definition,
( spl0_83
<=> c3_1(a1025) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f730,plain,
( ~ c3_1(a1025)
| spl0_83 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f731,plain,
( spl0_28
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f263,f728,f446]) ).
fof(f733,definition,
( spl0_84
<=> c2_1(a1025) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f735,plain,
( c2_1(a1025)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f736,plain,
( spl0_28
| spl0_84 ),
inference(avatar_split_clause,[],[f262,f733,f446]) ).
fof(f738,definition,
( spl0_85
<=> c1_1(a1026) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f741,plain,
( ~ spl0_27
| spl0_85 ),
inference(avatar_split_clause,[],[f261,f738,f441]) ).
fof(f743,definition,
( spl0_86
<=> c0_1(a1026) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f745,plain,
( ~ c0_1(a1026)
| spl0_86 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f746,plain,
( ~ spl0_27
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f105,f743,f441]) ).
fof(f758,definition,
( spl0_89
<=> c0_1(a1032) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f760,plain,
( ~ c0_1(a1032)
| spl0_89 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f761,plain,
( spl0_22
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f259,f758,f420]) ).
fof(f783,definition,
( spl0_94
<=> c2_1(a1038) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f786,plain,
( ~ spl0_43
| spl0_94 ),
inference(avatar_split_clause,[],[f256,f783,f516]) ).
fof(f788,definition,
( spl0_95
<=> c1_1(a1038) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f790,plain,
( c1_1(a1038)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f791,plain,
( ~ spl0_43
| spl0_95 ),
inference(avatar_split_clause,[],[f255,f788,f516]) ).
fof(f798,definition,
( spl0_97
<=> c3_1(a1041) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f800,plain,
( ~ c3_1(a1041)
| spl0_97 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f801,plain,
( ~ spl0_57
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f94,f798,f595]) ).
fof(f803,definition,
( spl0_98
<=> c0_1(a1041) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f805,plain,
( ~ c0_1(a1041)
| spl0_98 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f806,plain,
( ~ spl0_57
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f93,f803,f595]) ).
fof(f808,definition,
( spl0_99
<=> c2_1(a1043) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f810,plain,
( c2_1(a1043)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f811,plain,
( ~ spl0_33
| spl0_99 ),
inference(avatar_split_clause,[],[f254,f808,f469]) ).
fof(f813,definition,
( spl0_100
<=> c1_1(a1043) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f815,plain,
( c1_1(a1043)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f816,plain,
( ~ spl0_33
| spl0_100 ),
inference(avatar_split_clause,[],[f253,f813,f469]) ).
fof(f818,definition,
( spl0_101
<=> c3_1(a1044) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f820,plain,
( ~ c3_1(a1044)
| spl0_101 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f821,plain,
( ~ spl0_54
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f90,f818,f575]) ).
fof(f823,definition,
( spl0_102
<=> c0_1(a1045) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f826,plain,
( spl0_53
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f252,f823,f568]) ).
fof(f828,definition,
( spl0_103
<=> c3_1(a1048) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f830,plain,
( ~ c3_1(a1048)
| spl0_103 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f831,plain,
( spl0_56
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f251,f828,f589]) ).
fof(f833,definition,
( spl0_104
<=> c0_1(a1048) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f835,plain,
( ~ c0_1(a1048)
| spl0_104 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f836,plain,
( spl0_56
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f250,f833,f589]) ).
fof(f838,definition,
( spl0_105
<=> c2_1(a1052) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f840,plain,
( c2_1(a1052)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f841,plain,
( spl0_52
| spl0_105 ),
inference(avatar_split_clause,[],[f249,f838,f563]) ).
fof(f843,definition,
( spl0_106
<=> c0_1(a1052) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f845,plain,
( ~ c0_1(a1052)
| spl0_106 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f846,plain,
( spl0_52
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f248,f843,f563]) ).
fof(f858,definition,
( spl0_109
<=> c3_1(a1001) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f860,plain,
( c3_1(a1001)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f861,plain,
( spl0_109
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f82,f614,f858]) ).
fof(f863,definition,
( spl0_110
<=> c2_1(a1001) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f865,plain,
( ~ c2_1(a1001)
| spl0_110 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f866,plain,
( ~ spl0_110
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f245,f614,f863]) ).
fof(f868,definition,
( spl0_111
<=> c2_1(a1002) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f870,plain,
( ~ c2_1(a1002)
| spl0_111 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f871,plain,
( ~ spl0_111
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f244,f555,f868]) ).
fof(f873,definition,
( spl0_112
<=> c0_1(a1002) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f875,plain,
( c0_1(a1002)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f876,plain,
( spl0_112
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f79,f555,f873]) ).
fof(f883,definition,
( spl0_114
<=> c2_1(a1004) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f885,plain,
( ~ c2_1(a1004)
| spl0_114 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f886,plain,
( ~ spl0_114
| spl0_42 ),
inference(avatar_split_clause,[],[f242,f511,f883]) ).
fof(f888,definition,
( spl0_115
<=> c1_1(a1004) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f890,plain,
( ~ c1_1(a1004)
| spl0_115 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f891,plain,
( ~ spl0_115
| spl0_42 ),
inference(avatar_split_clause,[],[f241,f511,f888]) ).
fof(f893,definition,
( spl0_116
<=> c3_1(a1006) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f895,plain,
( c3_1(a1006)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f896,plain,
( spl0_116
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f75,f428,f893]) ).
fof(f898,definition,
( spl0_117
<=> c0_1(a1006) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f900,plain,
( c0_1(a1006)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f901,plain,
( spl0_117
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f74,f428,f898]) ).
fof(f903,definition,
( spl0_118
<=> c2_1(a1008) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f905,plain,
( ~ c2_1(a1008)
| spl0_118 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f906,plain,
( ~ spl0_118
| spl0_47 ),
inference(avatar_split_clause,[],[f240,f535,f903]) ).
fof(f908,definition,
( spl0_119
<=> c3_1(a1010) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f910,plain,
( c3_1(a1010)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f911,plain,
( spl0_119
| spl0_30 ),
inference(avatar_split_clause,[],[f239,f454,f908]) ).
fof(f913,definition,
( spl0_120
<=> c0_1(a1010) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f916,plain,
( spl0_120
| spl0_30 ),
inference(avatar_split_clause,[],[f238,f454,f913]) ).
fof(f918,definition,
( spl0_121
<=> c1_1(a1011) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f920,plain,
( ~ c1_1(a1011)
| spl0_121 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f921,plain,
( ~ spl0_121
| spl0_37 ),
inference(avatar_split_clause,[],[f237,f487,f918]) ).
fof(f923,definition,
( spl0_122
<=> c0_1(a1011) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f926,plain,
( spl0_122
| spl0_37 ),
inference(avatar_split_clause,[],[f236,f487,f923]) ).
fof(f933,definition,
( spl0_124
<=> c3_1(a1015) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f935,plain,
( c3_1(a1015)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f936,plain,
( spl0_124
| spl0_39 ),
inference(avatar_split_clause,[],[f235,f497,f933]) ).
fof(f938,definition,
( spl0_125
<=> c2_1(a1019) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f940,plain,
( ~ c2_1(a1019)
| spl0_125 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f941,plain,
( ~ spl0_125
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f234,f525,f938]) ).
fof(f943,definition,
( spl0_126
<=> c1_1(a1019) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f945,plain,
( ~ c1_1(a1019)
| spl0_126 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f946,plain,
( ~ spl0_126
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f233,f525,f943]) ).
fof(f948,definition,
( spl0_127
<=> c3_1(a1023) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f950,plain,
( c3_1(a1023)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f951,plain,
( spl0_127
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f64,f492,f948]) ).
fof(f953,definition,
( spl0_128
<=> c0_1(a1025) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f956,plain,
( spl0_128
| spl0_28 ),
inference(avatar_split_clause,[],[f232,f446,f953]) ).
fof(f958,definition,
( spl0_129
<=> c2_1(a1026) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f960,plain,
( ~ c2_1(a1026)
| spl0_129 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f961,plain,
( ~ spl0_129
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f231,f441,f958]) ).
fof(f968,definition,
( spl0_131
<=> c3_1(a1032) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f970,plain,
( c3_1(a1032)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f971,plain,
( spl0_131
| spl0_22 ),
inference(avatar_split_clause,[],[f229,f420,f968]) ).
fof(f973,definition,
( spl0_132
<=> c2_1(a1032) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f975,plain,
( ~ c2_1(a1032)
| spl0_132 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f976,plain,
( ~ spl0_132
| spl0_22 ),
inference(avatar_split_clause,[],[f228,f420,f973]) ).
fof(f988,definition,
( spl0_135
<=> c2_1(a1041) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f990,plain,
( ~ c2_1(a1041)
| spl0_135 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f991,plain,
( ~ spl0_135
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f225,f595,f988]) ).
fof(f993,definition,
( spl0_136
<=> c0_1(a1043) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f995,plain,
( c0_1(a1043)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f996,plain,
( spl0_136
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f55,f469,f993]) ).
fof(f998,definition,
( spl0_137
<=> c1_1(a1044) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f1000,plain,
( ~ c1_1(a1044)
| spl0_137 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1001,plain,
( ~ spl0_137
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f224,f575,f998]) ).
fof(f1003,definition,
( spl0_138
<=> c0_1(a1044) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f1005,plain,
( c0_1(a1044)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1006,plain,
( spl0_138
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f53,f575,f1003]) ).
fof(f1008,definition,
( spl0_139
<=> c3_1(a1045) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f1010,plain,
( c3_1(a1045)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1011,plain,
( spl0_139
| spl0_53 ),
inference(avatar_split_clause,[],[f223,f568,f1008]) ).
fof(f1013,definition,
( spl0_140
<=> c1_1(a1045) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1016,plain,
( ~ spl0_140
| spl0_53 ),
inference(avatar_split_clause,[],[f222,f568,f1013]) ).
fof(f1018,definition,
( spl0_141
<=> c1_1(a1048) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f1021,plain,
( ~ spl0_141
| spl0_56 ),
inference(avatar_split_clause,[],[f221,f589,f1018]) ).
fof(f1023,definition,
( spl0_142
<=> c3_1(a1052) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f1025,plain,
( c3_1(a1052)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1026,plain,
( spl0_142
| spl0_52 ),
inference(avatar_split_clause,[],[f220,f563,f1023]) ).
fof(f1028,definition,
( spl0_143
<=> c3_1(a1029) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1030,plain,
( c3_1(a1029)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1031,plain,
( spl0_143
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f48,f530,f1028]) ).
fof(f1033,definition,
( spl0_144
<=> c2_1(a1029) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f1035,plain,
( ~ c2_1(a1029)
| spl0_144 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1036,plain,
( ~ spl0_144
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f219,f530,f1033]) ).
fof(f1038,definition,
( spl0_145
<=> c0_1(a1029) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1041,plain,
( spl0_145
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f46,f530,f1038]) ).
fof(f1043,definition,
( spl0_146
<=> c2_1(a1033) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1046,plain,
( ~ spl0_146
| spl0_60 ),
inference(avatar_split_clause,[],[f218,f609,f1043]) ).
fof(f1048,definition,
( spl0_147
<=> c1_1(a1033) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1050,plain,
( ~ c1_1(a1033)
| spl0_147 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1051,plain,
( ~ spl0_147
| spl0_60 ),
inference(avatar_split_clause,[],[f217,f609,f1048]) ).
fof(f1053,definition,
( spl0_148
<=> c0_1(a1033) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1055,plain,
( c0_1(a1033)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1056,plain,
( spl0_148
| spl0_60 ),
inference(avatar_split_clause,[],[f216,f609,f1053]) ).
fof(f1058,definition,
( spl0_149
<=> c3_1(a1040) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1060,plain,
( c3_1(a1040)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1061,plain,
( spl0_149
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f42,f599,f1058]) ).
fof(f1063,definition,
( spl0_150
<=> c1_1(a1040) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1065,plain,
( ~ c1_1(a1040)
| spl0_150 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1066,plain,
( ~ spl0_150
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f215,f599,f1063]) ).
fof(f1068,definition,
( spl0_151
<=> c0_1(a1040) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1070,plain,
( c0_1(a1040)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1071,plain,
( spl0_151
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f40,f599,f1068]) ).
fof(f1073,plain,
( ~ spl0_47
| spl0_57
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f213,f511,f595,f535]) ).
fof(f1074,plain,
( spl0_45
| ~ spl0_28
| spl0_33 ),
inference(avatar_split_clause,[],[f212,f469,f446,f525]) ).
fof(f1076,plain,
( ~ spl0_28
| spl0_24
| spl0_46 ),
inference(avatar_split_clause,[],[f210,f530,f428,f446]) ).
fof(f1078,plain,
( ~ spl0_52
| spl0_48
| spl0_58 ),
inference(avatar_split_clause,[],[f208,f599,f544,f563]) ).
fof(f1080,plain,
( spl0_38
| spl0_54
| spl0_58 ),
inference(avatar_split_clause,[],[f31,f599,f575,f492]) ).
fof(f1084,plain,
( spl0_3
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f27,f544,f352]) ).
fof(f1107,plain,
( spl0_3
| spl0_52 ),
inference(avatar_split_clause,[],[f194,f563,f352]) ).
fof(f1110,plain,
( spl0_3
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1,f599,f352]) ).
fof(f1112,plain,
( ~ c0_1(a1006)
| c1_1(a1006)
| ~ spl0_2
| ~ spl0_71 ),
inference(resolution,[],[f350,f670]) ).
fof(f1113,plain,
( c1_1(a1006)
| ~ spl0_2
| ~ spl0_71
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f1112,f900]) ).
fof(f1117,plain,
( ~ c0_1(a1006)
| ~ c3_1(a1006)
| ~ spl0_8
| ~ spl0_71 ),
inference(resolution,[],[f371,f670]) ).
fof(f1122,plain,
( c3_1(a1044)
| c2_1(a1044)
| ~ spl0_11
| ~ spl0_138 ),
inference(resolution,[],[f381,f1005]) ).
fof(f1123,plain,
( c2_1(a1044)
| ~ spl0_11
| spl0_101
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f1122,f820]) ).
fof(f1124,plain,
( ~ c0_1(a1044)
| c1_1(a1044)
| ~ spl0_2
| ~ spl0_11
| spl0_101
| ~ spl0_138 ),
inference(resolution,[],[f1123,f350]) ).
fof(f1125,plain,
( c1_1(a1044)
| ~ spl0_2
| ~ spl0_11
| spl0_101
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f1124,f1005]) ).
fof(f1126,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| spl0_101
| spl0_137
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f1125,f1000]) ).
fof(f1127,plain,
( ~ spl0_2
| ~ spl0_11
| spl0_101
| spl0_137
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1128,plain,
( ! [X2] :
( c0_1(X2)
| c1_1(X2) )
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f378,f361]) ).
fof(f1129,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f425,f350]) ).
fof(f1132,plain,
( c1_1(a1019)
| ~ spl0_5
| ~ spl0_10
| spl0_80 ),
inference(resolution,[],[f1128,f715]) ).
fof(f1136,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| spl0_80
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f1132,f945]) ).
fof(f1137,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_80
| spl0_126 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1140,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f357,f368]) ).
fof(f1142,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0) )
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f409,f368]) ).
fof(f1144,plain,
( c0_1(a1052)
| c1_1(a1052)
| ~ spl0_5
| ~ spl0_142 ),
inference(resolution,[],[f1025,f361]) ).
fof(f1145,plain,
( c1_1(a1052)
| ~ spl0_5
| spl0_106
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f1144,f845]) ).
fof(f1148,plain,
( c2_1(a1008)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_73 ),
inference(resolution,[],[f1142,f680]) ).
fof(f1152,plain,
( $false
| ~ spl0_7
| ~ spl0_19
| ~ spl0_73
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f1148,f905]) ).
fof(f1153,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_73
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1156,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0) )
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f374,f357]) ).
fof(f1160,plain,
( c1_1(a1004)
| ~ spl0_4
| ~ spl0_9
| spl0_114 ),
inference(resolution,[],[f1156,f885]) ).
fof(f1167,plain,
( c0_1(a1045)
| c1_1(a1045)
| ~ spl0_5
| ~ spl0_139 ),
inference(resolution,[],[f1010,f361]) ).
fof(f1175,plain,
( ~ c0_1(a1006)
| ~ spl0_8
| ~ spl0_71
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f1117,f895]) ).
fof(f1178,definition,
( spl0_153
<=> c1_1(a1006) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1182,plain,
( spl0_140
| spl0_102
| ~ spl0_5
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1167,f1008,f360,f823,f1013]) ).
fof(f1183,plain,
( ~ spl0_117
| ~ spl0_8
| ~ spl0_71
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1175,f893,f668,f370,f898]) ).
fof(f1186,plain,
( c1_1(a1029)
| c2_1(a1029)
| ~ spl0_4
| ~ spl0_143 ),
inference(resolution,[],[f1030,f357]) ).
fof(f1189,definition,
( spl0_154
<=> c1_1(a1029) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1191,plain,
( c1_1(a1029)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1193,plain,
( spl0_144
| spl0_154
| ~ spl0_4
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f1186,f1028,f356,f1189,f1033]) ).
fof(f1206,plain,
( ~ c0_1(a1023)
| ~ c3_1(a1023)
| ~ spl0_8
| ~ spl0_81 ),
inference(resolution,[],[f371,f720]) ).
fof(f1215,plain,
( ~ c2_1(a1023)
| ~ c3_1(a1023)
| ~ spl0_12
| ~ spl0_82 ),
inference(resolution,[],[f385,f725]) ).
fof(f1217,plain,
( ~ c2_1(a1043)
| ~ c3_1(a1043)
| ~ spl0_12
| ~ spl0_100 ),
inference(resolution,[],[f385,f815]) ).
fof(f1218,plain,
( ~ c3_1(a1043)
| ~ spl0_12
| ~ spl0_99
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f1217,f810]) ).
fof(f1219,plain,
( ~ c3_1(a1023)
| ~ spl0_12
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f1215,f720]) ).
fof(f1220,plain,
( $false
| ~ spl0_12
| ~ spl0_81
| ~ spl0_82
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1219,f950]) ).
fof(f1221,plain,
( ~ spl0_12
| ~ spl0_81
| ~ spl0_82
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1231,plain,
( ! [X2] :
( c3_1(X2)
| c2_1(X2) )
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f396,f381]) ).
fof(f1237,plain,
( c2_1(a1008)
| ~ spl0_11
| ~ spl0_15
| spl0_72 ),
inference(resolution,[],[f1231,f675]) ).
fof(f1242,plain,
( $false
| ~ spl0_11
| ~ spl0_15
| spl0_72
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f1237,f905]) ).
fof(f1243,plain,
( ~ spl0_11
| ~ spl0_15
| spl0_72
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1247,definition,
( spl0_155
<=> c0_1(a1001) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1249,plain,
( ~ c0_1(a1001)
| spl0_155 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1253,definition,
( spl0_156
<=> c2_1(a1015) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1261,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f399,f371]) ).
fof(f1263,plain,
( ~ c0_1(a1044)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| spl0_101
| ~ spl0_138 ),
inference(resolution,[],[f1261,f1123]) ).
fof(f1270,plain,
( $false
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| spl0_101
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f1263,f1005]) ).
fof(f1271,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| spl0_101
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1272,plain,
( ! [X2] :
( ~ c3_1(X2)
| c0_1(X2) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f403,f361]) ).
fof(f1293,plain,
( c2_1(a1008)
| ~ c1_1(a1008)
| ~ spl0_19
| spl0_72 ),
inference(resolution,[],[f409,f675]) ).
fof(f1307,plain,
( c0_1(a1023)
| ~ c1_1(a1023)
| ~ spl0_21
| ~ spl0_81 ),
inference(resolution,[],[f417,f720]) ).
fof(f1311,plain,
( c0_1(a1023)
| ~ spl0_21
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f1307,f725]) ).
fof(f1316,plain,
( ! [X2] :
( ~ c1_1(X2)
| c2_1(X2) )
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f389,f392]) ).
fof(f1329,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f406,f413]) ).
fof(f1330,plain,
( c0_1(a1052)
| ~ spl0_18
| ~ spl0_20
| ~ spl0_105 ),
inference(resolution,[],[f1329,f840]) ).
fof(f1335,plain,
( c0_1(a1003)
| ~ spl0_18
| ~ spl0_20
| ~ spl0_65 ),
inference(resolution,[],[f1329,f640]) ).
fof(f1336,plain,
( $false
| ~ spl0_18
| ~ spl0_20
| ~ spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f1335,f645]) ).
fof(f1337,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_65
| spl0_66 ),
inference(avatar_contradiction_clause,[],[f1336]) ).
fof(f1340,plain,
( $false
| ~ spl0_18
| ~ spl0_20
| ~ spl0_105
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f1330,f845]) ).
fof(f1341,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_105
| spl0_106 ),
inference(avatar_contradiction_clause,[],[f1340]) ).
fof(f1342,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f406,f371]) ).
fof(f1343,plain,
( ~ c3_1(a1052)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_105 ),
inference(resolution,[],[f1342,f840]) ).
fof(f1346,plain,
( ~ c3_1(a1023)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_81 ),
inference(resolution,[],[f1342,f720]) ).
fof(f1351,plain,
( $false
| ~ spl0_8
| ~ spl0_18
| ~ spl0_81
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1346,f950]) ).
fof(f1352,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_81
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1353,plain,
( $false
| ~ spl0_8
| ~ spl0_18
| ~ spl0_105
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f1343,f1025]) ).
fof(f1354,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_105
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f1353]) ).
fof(f1356,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f399,f381]) ).
fof(f1363,plain,
( c2_1(a1001)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_109 ),
inference(resolution,[],[f1140,f860]) ).
fof(f1364,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_109
| spl0_110 ),
inference(forward_subsumption_resolution,[],[f1363,f865]) ).
fof(f1365,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_109
| spl0_110 ),
inference(avatar_contradiction_clause,[],[f1364]) ).
fof(f1381,plain,
( c3_1(a1002)
| c2_1(a1002)
| ~ spl0_11
| ~ spl0_112 ),
inference(resolution,[],[f875,f381]) ).
fof(f1382,plain,
( c2_1(a1002)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f1381,f1140]) ).
fof(f1383,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| spl0_111
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f1382,f870]) ).
fof(f1384,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| spl0_111
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1424,plain,
( ~ c0_1(a1029)
| c2_1(a1029)
| ~ spl0_14
| ~ spl0_154 ),
inference(resolution,[],[f392,f1191]) ).
fof(f1432,plain,
( ~ c0_1(a1002)
| c2_1(a1002)
| ~ spl0_14
| ~ spl0_64 ),
inference(resolution,[],[f392,f635]) ).
fof(f1440,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f396,f1140]) ).
fof(f1443,plain,
( c2_1(a1026)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| spl0_86 ),
inference(resolution,[],[f1440,f745]) ).
fof(f1450,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| spl0_86
| spl0_129 ),
inference(forward_subsumption_resolution,[],[f1443,f960]) ).
fof(f1451,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| spl0_86
| spl0_129 ),
inference(avatar_contradiction_clause,[],[f1450]) ).
fof(f1459,plain,
( ! [X0] : c1_1(X0)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1129,f1128]) ).
fof(f1464,plain,
( spl0_153
| ~ spl0_2
| ~ spl0_71
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1113,f898,f668,f349,f1178]) ).
fof(f1466,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_150 ),
inference(backward_subsumption_resolution,[],[f1065,f1459]) ).
fof(f1467,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_147 ),
inference(backward_subsumption_resolution,[],[f1050,f1459]) ).
fof(f1470,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_137 ),
inference(backward_subsumption_resolution,[],[f1000,f1459]) ).
fof(f1474,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_150 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1475,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_147 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1478,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1482,plain,
( c1_1(a1032)
| ~ spl0_5
| ~ spl0_10
| spl0_89 ),
inference(resolution,[],[f760,f1128]) ).
fof(f1483,plain,
( c2_1(a1032)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_131 ),
inference(resolution,[],[f970,f1140]) ).
fof(f1485,plain,
( c0_1(a1032)
| c1_1(a1032)
| ~ spl0_5
| ~ spl0_131 ),
inference(resolution,[],[f970,f361]) ).
fof(f1487,definition,
( spl0_158
<=> c1_1(a1032) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1491,plain,
( spl0_132
| ~ spl0_4
| ~ spl0_7
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1483,f968,f367,f356,f973]) ).
fof(f1532,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f385,f1140]) ).
fof(f1536,definition,
( spl0_159
<=> c0_1(a1023) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1546,plain,
( ~ c1_1(a1006)
| ~ c0_1(a1006)
| ~ spl0_1
| ~ spl0_116 ),
inference(resolution,[],[f895,f347]) ).
fof(f1553,plain,
( ~ c1_1(a1006)
| ~ spl0_1
| ~ spl0_116
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f1546,f900]) ).
fof(f1554,plain,
( ~ spl0_153
| ~ spl0_1
| ~ spl0_116
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1553,f898,f893,f346,f1178]) ).
fof(f1563,plain,
( ~ c1_1(a1015)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_124 ),
inference(resolution,[],[f1532,f935]) ).
fof(f1566,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_78
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1563,f705]) ).
fof(f1567,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_78
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1575,plain,
( c3_1(a1025)
| ~ c0_1(a1025)
| ~ spl0_16
| ~ spl0_84 ),
inference(resolution,[],[f399,f735]) ).
fof(f1586,plain,
( ~ c0_1(a1025)
| ~ spl0_16
| spl0_83
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1575,f730]) ).
fof(f1592,plain,
( ~ spl0_128
| ~ spl0_16
| spl0_83
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1586,f733,f728,f398,f953]) ).
fof(f1608,plain,
( ~ c1_1(a1008)
| ~ spl0_19
| spl0_72
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f1293,f905]) ).
fof(f1613,plain,
( ~ spl0_73
| ~ spl0_19
| spl0_72
| spl0_118 ),
inference(avatar_split_clause,[],[f1608,f903,f673,f408,f678]) ).
fof(f1664,plain,
( spl0_158
| ~ spl0_5
| ~ spl0_10
| spl0_89 ),
inference(avatar_split_clause,[],[f1482,f758,f377,f360,f1487]) ).
fof(f1696,plain,
( ~ c0_1(a1029)
| ~ spl0_14
| spl0_144
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f1424,f1035]) ).
fof(f1697,plain,
( ~ spl0_145
| ~ spl0_14
| spl0_144
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1696,f1189,f1033,f391,f1038]) ).
fof(f1707,plain,
( c0_1(a1032)
| c2_1(a1032)
| ~ spl0_6
| ~ spl0_131 ),
inference(resolution,[],[f364,f970]) ).
fof(f1708,plain,
( c0_1(a1015)
| c2_1(a1015)
| ~ spl0_6
| ~ spl0_124 ),
inference(resolution,[],[f364,f935]) ).
fof(f1711,plain,
( c2_1(a1032)
| ~ spl0_6
| spl0_89
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f1707,f760]) ).
fof(f1713,plain,
( $false
| ~ spl0_6
| spl0_89
| ~ spl0_131
| spl0_132 ),
inference(forward_subsumption_resolution,[],[f1711,f975]) ).
fof(f1714,plain,
( ~ spl0_6
| spl0_89
| ~ spl0_131
| spl0_132 ),
inference(avatar_contradiction_clause,[],[f1713]) ).
fof(f1717,plain,
( ~ c1_1(a1032)
| c2_1(a1032)
| ~ spl0_7
| ~ spl0_131 ),
inference(resolution,[],[f368,f970]) ).
fof(f1748,plain,
( ~ c1_1(a1001)
| c2_1(a1001)
| ~ spl0_7
| ~ spl0_109 ),
inference(resolution,[],[f860,f368]) ).
fof(f1752,plain,
( c2_1(a1001)
| ~ spl0_7
| ~ spl0_63
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f1748,f630]) ).
fof(f1754,plain,
( $false
| ~ spl0_7
| ~ spl0_63
| ~ spl0_109
| spl0_110 ),
inference(forward_subsumption_resolution,[],[f1752,f865]) ).
fof(f1755,plain,
( ~ spl0_7
| ~ spl0_63
| ~ spl0_109
| spl0_110 ),
inference(avatar_contradiction_clause,[],[f1754]) ).
fof(f1794,plain,
( c1_1(a1004)
| c2_1(a1004)
| ~ spl0_9
| spl0_67 ),
inference(resolution,[],[f374,f650]) ).
fof(f1798,plain,
( c2_1(a1004)
| ~ spl0_9
| spl0_67
| spl0_115 ),
inference(forward_subsumption_resolution,[],[f1794,f890]) ).
fof(f1824,definition,
( spl0_163
<=> c1_1(a1041) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1828,plain,
( spl0_114
| ~ spl0_9
| spl0_67
| spl0_115 ),
inference(avatar_split_clause,[],[f1798,f888,f648,f373,f883]) ).
fof(f1829,plain,
( c1_1(a1032)
| ~ spl0_5
| spl0_89
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f1485,f760]) ).
fof(f1834,plain,
( spl0_158
| ~ spl0_5
| spl0_89
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1829,f968,f758,f360,f1487]) ).
fof(f1840,plain,
( c1_1(a1032)
| ~ spl0_4
| ~ spl0_9
| spl0_132 ),
inference(resolution,[],[f1156,f975]) ).
fof(f1851,plain,
( spl0_158
| ~ spl0_4
| ~ spl0_9
| spl0_132 ),
inference(avatar_split_clause,[],[f1840,f973,f373,f356,f1487]) ).
fof(f1938,plain,
( ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f347,f1356]) ).
fof(f1946,plain,
( ~ c1_1(a1002)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_16
| ~ spl0_112 ),
inference(resolution,[],[f1938,f875]) ).
fof(f1948,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_16
| ~ spl0_64
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f1946,f635]) ).
fof(f1949,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_16
| ~ spl0_64
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f1948]) ).
fof(f1963,plain,
( ~ c1_1(a1010)
| ~ c0_1(a1010)
| ~ spl0_1
| ~ spl0_119 ),
inference(resolution,[],[f347,f910]) ).
fof(f1976,plain,
( ~ c2_1(a1052)
| ~ c3_1(a1052)
| ~ spl0_5
| ~ spl0_12
| spl0_106
| ~ spl0_142 ),
inference(resolution,[],[f385,f1145]) ).
fof(f1980,plain,
( ~ c2_1(a1015)
| ~ c3_1(a1015)
| ~ spl0_12
| ~ spl0_78 ),
inference(resolution,[],[f385,f705]) ).
fof(f1990,plain,
( ~ c2_1(a1015)
| ~ spl0_12
| ~ spl0_78
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1980,f935]) ).
fof(f1991,plain,
( ~ c3_1(a1052)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_105
| spl0_106
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f1976,f840]) ).
fof(f1992,plain,
( ~ spl0_156
| ~ spl0_12
| ~ spl0_78
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1990,f933,f703,f384,f1253]) ).
fof(f1993,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_105
| spl0_106
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f1991,f1025]) ).
fof(f1994,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_105
| spl0_106
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f1993]) ).
fof(f2001,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f403,f347]) ).
fof(f2020,plain,
( ~ spl0_127
| ~ spl0_159
| ~ spl0_8
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1206,f718,f370,f1536,f948]) ).
fof(f2022,plain,
( c1_1(a1040)
| ~ spl0_2
| ~ spl0_23
| ~ spl0_151 ),
inference(resolution,[],[f1129,f1070]) ).
fof(f2024,plain,
( c1_1(a1044)
| ~ spl0_2
| ~ spl0_23
| ~ spl0_138 ),
inference(resolution,[],[f1129,f1005]) ).
fof(f2042,plain,
( $false
| ~ spl0_2
| ~ spl0_23
| spl0_137
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f2024,f1000]) ).
fof(f2043,plain,
( ~ spl0_2
| ~ spl0_23
| spl0_137
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f2042]) ).
fof(f2046,plain,
( $false
| ~ spl0_2
| ~ spl0_23
| spl0_150
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f2022,f1065]) ).
fof(f2047,plain,
( ~ spl0_2
| ~ spl0_23
| spl0_150
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f2046]) ).
fof(f2050,plain,
( c0_1(a1032)
| ~ spl0_5
| ~ spl0_17
| ~ spl0_131 ),
inference(resolution,[],[f1272,f970]) ).
fof(f2056,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| spl0_89
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2050,f760]) ).
fof(f2057,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_89
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f2056]) ).
fof(f2064,plain,
( c2_1(a1008)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_73 ),
inference(resolution,[],[f1316,f680]) ).
fof(f2068,plain,
( $false
| ~ spl0_13
| ~ spl0_14
| ~ spl0_73
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f2064,f905]) ).
fof(f2069,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_73
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f2068]) ).
fof(f2194,plain,
( ~ c1_1(a1001)
| ~ c0_1(a1001)
| ~ spl0_1
| ~ spl0_109 ),
inference(resolution,[],[f860,f347]) ).
fof(f2197,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_8
| ~ spl0_18
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f433,f1342]) ).
fof(f2200,plain,
( ~ c0_1(a1040)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_25
| ~ spl0_149 ),
inference(resolution,[],[f2197,f1060]) ).
fof(f2211,plain,
( $false
| ~ spl0_8
| ~ spl0_18
| ~ spl0_25
| ~ spl0_149
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f2200,f1070]) ).
fof(f2212,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_25
| ~ spl0_149
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f2211]) ).
fof(f2289,plain,
( spl0_132
| ~ spl0_158
| ~ spl0_7
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1717,f968,f367,f1487,f973]) ).
fof(f2334,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f413,f1440]) ).
fof(f2395,plain,
( ~ c1_1(a1032)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_131 ),
inference(resolution,[],[f2001,f970]) ).
fof(f2405,plain,
( ~ spl0_158
| ~ spl0_1
| ~ spl0_17
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2395,f968,f402,f346,f1487]) ).
fof(f2415,plain,
( c1_1(a1048)
| c0_1(a1048)
| ~ spl0_10
| spl0_103 ),
inference(resolution,[],[f378,f830]) ).
fof(f2431,plain,
( c1_1(a1048)
| ~ spl0_10
| spl0_103
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f2415,f835]) ).
fof(f2432,plain,
( spl0_141
| ~ spl0_10
| spl0_103
| spl0_104 ),
inference(avatar_split_clause,[],[f2431,f833,f828,f377,f1018]) ).
fof(f2437,plain,
( ~ c1_1(a1032)
| c2_1(a1032)
| ~ spl0_13
| spl0_89 ),
inference(resolution,[],[f389,f760]) ).
fof(f2461,plain,
( c2_1(a1033)
| c1_1(a1033)
| ~ spl0_23
| ~ spl0_148 ),
inference(resolution,[],[f425,f1055]) ).
fof(f2512,plain,
( ~ c1_1(a1026)
| c2_1(a1026)
| ~ spl0_13
| spl0_86 ),
inference(resolution,[],[f745,f389]) ).
fof(f2520,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f437,f2001]) ).
fof(f2522,plain,
( ~ c1_1(a1001)
| c2_1(a1001)
| ~ spl0_13
| spl0_155 ),
inference(resolution,[],[f1249,f389]) ).
fof(f2523,plain,
( c2_1(a1001)
| ~ spl0_13
| ~ spl0_63
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f2522,f630]) ).
fof(f2524,plain,
( $false
| ~ spl0_13
| ~ spl0_63
| spl0_110
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f2523,f865]) ).
fof(f2525,plain,
( ~ spl0_13
| ~ spl0_63
| spl0_110
| spl0_155 ),
inference(avatar_contradiction_clause,[],[f2524]) ).
fof(f2560,plain,
( ! [X1] :
( c2_1(X1)
| c1_1(X1) )
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f451,f425]) ).
fof(f2566,plain,
( c1_1(a1019)
| ~ spl0_23
| ~ spl0_29
| spl0_125 ),
inference(resolution,[],[f2560,f940]) ).
fof(f2568,plain,
( c1_1(a1008)
| ~ spl0_23
| ~ spl0_29
| spl0_118 ),
inference(resolution,[],[f2560,f905]) ).
fof(f2569,plain,
( c1_1(a1004)
| ~ spl0_23
| ~ spl0_29
| spl0_114 ),
inference(resolution,[],[f2560,f885]) ).
fof(f2594,plain,
( spl0_126
| ~ spl0_23
| ~ spl0_29
| spl0_125 ),
inference(avatar_split_clause,[],[f2566,f938,f450,f424,f943]) ).
fof(f2694,plain,
( ! [X1] :
( c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f479,f2334]) ).
fof(f2695,plain,
( ! [X1] : ~ c1_1(X1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2694,f2001]) ).
fof(f2704,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20
| ~ spl0_35
| ~ spl0_73 ),
inference(backward_subsumption_resolution,[],[f680,f2695]) ).
fof(f2711,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20
| ~ spl0_35
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f2704]) ).
fof(f2723,plain,
( ~ c1_1(a1026)
| ~ spl0_13
| spl0_86
| spl0_129 ),
inference(forward_subsumption_resolution,[],[f2512,f960]) ).
fof(f2743,plain,
( ~ spl0_85
| ~ spl0_13
| spl0_86
| spl0_129 ),
inference(avatar_split_clause,[],[f2723,f958,f743,f388,f738]) ).
fof(f2751,plain,
( ~ spl0_120
| ~ spl0_74
| ~ spl0_1
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1963,f908,f346,f683,f913]) ).
fof(f2753,plain,
( spl0_156
| spl0_79
| ~ spl0_6
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1708,f933,f363,f708,f1253]) ).
fof(f2795,plain,
( ~ c1_1(a1023)
| ~ c0_1(a1023)
| ~ spl0_1
| ~ spl0_127 ),
inference(resolution,[],[f347,f950]) ).
fof(f2862,plain,
( c3_1(a1043)
| ~ c0_1(a1043)
| ~ spl0_16
| ~ spl0_99 ),
inference(resolution,[],[f399,f810]) ).
fof(f2874,plain,
( ~ c0_1(a1043)
| ~ spl0_12
| ~ spl0_16
| ~ spl0_99
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f2862,f1218]) ).
fof(f2875,plain,
( $false
| ~ spl0_12
| ~ spl0_16
| ~ spl0_99
| ~ spl0_100
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f2874,f995]) ).
fof(f2876,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_99
| ~ spl0_100
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f2875]) ).
fof(f2877,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2) )
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f396,f364]) ).
fof(f2892,definition,
( spl0_175
<=> c0_1(a1008) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f2896,plain,
( spl0_73
| ~ spl0_23
| ~ spl0_29
| spl0_118 ),
inference(avatar_split_clause,[],[f2568,f903,f450,f424,f678]) ).
fof(f2904,plain,
( ~ c1_1(a1041)
| c2_1(a1041)
| ~ spl0_13
| spl0_98 ),
inference(resolution,[],[f805,f389]) ).
fof(f2905,plain,
( c2_1(a1041)
| ~ spl0_13
| ~ spl0_23
| ~ spl0_29
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f2904,f2560]) ).
fof(f2906,plain,
( $false
| ~ spl0_13
| ~ spl0_23
| ~ spl0_29
| spl0_98
| spl0_135 ),
inference(forward_subsumption_resolution,[],[f2905,f990]) ).
fof(f2907,plain,
( ~ spl0_13
| ~ spl0_23
| ~ spl0_29
| spl0_98
| spl0_135 ),
inference(avatar_contradiction_clause,[],[f2906]) ).
fof(f2941,plain,
( ~ spl0_155
| ~ spl0_63
| ~ spl0_1
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f2194,f858,f346,f628,f1247]) ).
fof(f2943,plain,
( c0_1(a1001)
| c2_1(a1001)
| ~ spl0_6
| ~ spl0_109 ),
inference(resolution,[],[f860,f364]) ).
fof(f2947,plain,
( spl0_110
| spl0_155
| ~ spl0_6
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f2943,f858,f363,f1247,f863]) ).
fof(f3002,plain,
( spl0_111
| ~ spl0_112
| ~ spl0_14
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1432,f633,f391,f873,f868]) ).
fof(f3014,plain,
( ~ c1_1(a1001)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_109 ),
inference(resolution,[],[f2001,f860]) ).
fof(f3029,plain,
( ~ c2_1(a1038)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_26
| ~ spl0_95 ),
inference(resolution,[],[f2520,f790]) ).
fof(f3034,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_1
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f479,f347]) ).
fof(f3049,plain,
( spl0_135
| ~ spl0_163
| ~ spl0_13
| spl0_98 ),
inference(avatar_split_clause,[],[f2904,f803,f388,f1824,f988]) ).
fof(f3095,plain,
( ~ c0_1(a1008)
| ~ spl0_1
| ~ spl0_35
| ~ spl0_73 ),
inference(resolution,[],[f3034,f680]) ).
fof(f3096,plain,
( ~ spl0_175
| ~ spl0_1
| ~ spl0_35
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f3095,f678,f478,f346,f2892]) ).
fof(f3129,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2) )
| ~ spl0_6
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f413,f2877]) ).
fof(f3137,plain,
( c0_1(a1008)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_20
| spl0_72 ),
inference(resolution,[],[f3129,f675]) ).
fof(f3141,plain,
( spl0_175
| ~ spl0_6
| ~ spl0_15
| ~ spl0_20
| spl0_72 ),
inference(avatar_split_clause,[],[f3137,f673,f412,f395,f363,f2892]) ).
fof(f3148,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0) )
| ~ spl0_6
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f425,f2877]) ).
fof(f3149,plain,
( c1_1(a1008)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_23
| spl0_118 ),
inference(resolution,[],[f3148,f905]) ).
fof(f3150,plain,
( c1_1(a1004)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_23
| spl0_114 ),
inference(resolution,[],[f3148,f885]) ).
fof(f3153,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| ~ spl0_23
| spl0_114
| spl0_115 ),
inference(forward_subsumption_resolution,[],[f3150,f890]) ).
fof(f3154,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_23
| spl0_114
| spl0_115 ),
inference(avatar_contradiction_clause,[],[f3153]) ).
fof(f3155,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| ~ spl0_23
| spl0_73
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f3149,f679]) ).
fof(f3156,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_23
| spl0_73
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f3155]) ).
fof(f3182,plain,
( spl0_159
| ~ spl0_21
| ~ spl0_81
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1311,f723,f718,f416,f1536]) ).
fof(f3215,plain,
( ~ c0_1(a1011)
| c1_1(a1011)
| ~ spl0_2
| ~ spl0_75 ),
inference(resolution,[],[f350,f690]) ).
fof(f3239,plain,
( ~ c0_1(a1011)
| ~ spl0_2
| ~ spl0_75
| spl0_121 ),
inference(forward_subsumption_resolution,[],[f3215,f920]) ).
fof(f3241,plain,
( ~ spl0_122
| ~ spl0_2
| ~ spl0_75
| spl0_121 ),
inference(avatar_split_clause,[],[f3239,f918,f688,f349,f923]) ).
fof(f3244,plain,
( c1_1(a1041)
| c0_1(a1041)
| ~ spl0_10
| spl0_97 ),
inference(resolution,[],[f800,f378]) ).
fof(f3247,plain,
( ! [X0] :
( c1_1(X0)
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) )
| ~ spl0_4
| ~ spl0_10 ),
inference(resolution,[],[f357,f378]) ).
fof(f3252,plain,
( c1_1(a1032)
| c2_1(a1032)
| ~ spl0_4
| ~ spl0_131 ),
inference(resolution,[],[f357,f970]) ).
fof(f3258,plain,
( ! [X0] :
( c1_1(X0)
| c2_1(X0)
| c0_1(X0) )
| ~ spl0_4
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f3247]) ).
fof(f3263,plain,
( spl0_29
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f3258,f377,f356,f450]) ).
fof(f3300,plain,
( ~ c1_1(a1032)
| c0_1(a1032)
| ~ spl0_17
| ~ spl0_131 ),
inference(resolution,[],[f403,f970]) ).
fof(f3310,plain,
( ~ c1_1(a1032)
| ~ spl0_17
| spl0_89
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f3300,f760]) ).
fof(f3317,plain,
( ~ spl0_158
| ~ spl0_17
| spl0_89
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3310,f968,f758,f402,f1487]) ).
fof(f3331,plain,
( ~ spl0_159
| ~ spl0_82
| ~ spl0_1
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2795,f948,f346,f723,f1536]) ).
fof(f3334,plain,
( ~ spl0_94
| ~ spl0_1
| ~ spl0_17
| ~ spl0_26
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f3029,f788,f436,f402,f346,f783]) ).
fof(f3338,plain,
( spl0_115
| ~ spl0_4
| ~ spl0_9
| spl0_114 ),
inference(avatar_split_clause,[],[f1160,f883,f373,f356,f888]) ).
fof(f3346,plain,
( spl0_132
| ~ spl0_158
| ~ spl0_13
| spl0_89 ),
inference(avatar_split_clause,[],[f2437,f758,f388,f1487,f973]) ).
fof(f3353,plain,
( c2_1(a1033)
| ~ spl0_23
| spl0_147
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f2461,f1050]) ).
fof(f3358,plain,
( spl0_115
| ~ spl0_23
| ~ spl0_29
| spl0_114 ),
inference(avatar_split_clause,[],[f2569,f883,f450,f424,f888]) ).
fof(f3370,plain,
( spl0_132
| spl0_158
| ~ spl0_4
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3252,f968,f356,f1487,f973]) ).
fof(f3379,plain,
( spl0_98
| spl0_163
| ~ spl0_10
| spl0_97 ),
inference(avatar_split_clause,[],[f3244,f798,f377,f1824,f803]) ).
fof(f3388,plain,
( spl0_146
| ~ spl0_23
| spl0_147
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f3353,f1053,f1048,f424,f1043]) ).
fof(f3487,plain,
( ~ spl0_63
| ~ spl0_1
| ~ spl0_17
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f3014,f858,f402,f346,f628]) ).
fof(f3511,plain,
( ! [X2] :
( ~ c1_1(X2)
| c2_1(X2) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f389,f3034]) ).
fof(f3512,plain,
( ! [X2] : c2_1(X2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f3511,f1156]) ).
fof(f3514,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_35
| spl0_118 ),
inference(backward_subsumption_resolution,[],[f905,f3512]) ).
fof(f3518,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_35
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f3514]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f358]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f365]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f375]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f382]) ).
cnf(s6,plain,
( spl0_2
| ~ spl0_3
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f393]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f400]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_17
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f410]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_16
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f414]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_13
| spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f418]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f426]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_7
| spl0_14
| spl0_24 ),
inference(sat_conversion,[],[f439]) ).
cnf(s15,plain,
( spl0_1
| ~ spl0_3
| spl0_5
| spl0_27 ),
inference(sat_conversion,[],[f444]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f452]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_7
| spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f457]) ).
cnf(s18,plain,
( ~ spl0_3
| spl0_10
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f458]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_5
| spl0_10
| ~ spl0_39 ),
inference(sat_conversion,[],[f501]) ).
cnf(s29,plain,
( ~ spl0_3
| spl0_8
| spl0_13
| ~ spl0_42 ),
inference(sat_conversion,[],[f514]) ).
cnf(s30,plain,
( ~ spl0_3
| spl0_16
| spl0_35
| spl0_43 ),
inference(sat_conversion,[],[f519]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_8
| spl0_26
| spl0_45 ),
inference(sat_conversion,[],[f528]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_6
| spl0_20
| spl0_24 ),
inference(sat_conversion,[],[f542]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_26
| spl0_35
| spl0_38 ),
inference(sat_conversion,[],[f553]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_23
| ~ spl0_37
| spl0_45 ),
inference(sat_conversion,[],[f572]) ).
cnf(s46,plain,
( ~ spl0_3
| spl0_23
| ~ spl0_47 ),
inference(sat_conversion,[],[f573]) ).
cnf(s51,plain,
( spl0_2
| ~ spl0_3
| spl0_24
| spl0_38 ),
inference(sat_conversion,[],[f585]) ).
cnf(s52,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_30
| ~ spl0_52 ),
inference(sat_conversion,[],[f586]) ).
cnf(s53,plain,
( spl0_1
| ~ spl0_3
| spl0_27
| ~ spl0_53 ),
inference(sat_conversion,[],[f587]) ).
cnf(s54,plain,
( ~ spl0_3
| spl0_16
| spl0_48
| ~ spl0_56 ),
inference(sat_conversion,[],[f592]) ).
cnf(s55,plain,
( spl0_1
| ~ spl0_3
| spl0_54 ),
inference(sat_conversion,[],[f593]) ).
cnf(s58,plain,
( ~ spl0_3
| spl0_12
| ~ spl0_30
| ~ spl0_60 ),
inference(sat_conversion,[],[f612]) ).
cnf(s59,plain,
( ~ spl0_3
| spl0_15
| spl0_50
| spl0_61 ),
inference(sat_conversion,[],[f617]) ).
cnf(s60,plain,
( ~ spl0_3
| spl0_10
| spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f618]) ).
cnf(s65,plain,
( ~ spl0_61
| spl0_63 ),
inference(sat_conversion,[],[f631]) ).
cnf(s66,plain,
( ~ spl0_50
| spl0_64 ),
inference(sat_conversion,[],[f636]) ).
cnf(s67,plain,
( ~ spl0_48
| spl0_65 ),
inference(sat_conversion,[],[f641]) ).
cnf(s68,plain,
( ~ spl0_48
| ~ spl0_66 ),
inference(sat_conversion,[],[f646]) ).
cnf(s69,plain,
( spl0_42
| ~ spl0_67 ),
inference(sat_conversion,[],[f651]) ).
cnf(s73,plain,
( ~ spl0_24
| spl0_71 ),
inference(sat_conversion,[],[f671]) ).
cnf(s74,plain,
( spl0_47
| ~ spl0_72 ),
inference(sat_conversion,[],[f676]) ).
cnf(s75,plain,
( spl0_47
| spl0_73 ),
inference(sat_conversion,[],[f681]) ).
cnf(s76,plain,
( spl0_30
| spl0_74 ),
inference(sat_conversion,[],[f686]) ).
cnf(s77,plain,
( spl0_37
| spl0_75 ),
inference(sat_conversion,[],[f691]) ).
cnf(s80,plain,
( spl0_39
| spl0_78 ),
inference(sat_conversion,[],[f706]) ).
cnf(s81,plain,
( spl0_39
| ~ spl0_79 ),
inference(sat_conversion,[],[f711]) ).
cnf(s82,plain,
( ~ spl0_45
| ~ spl0_80 ),
inference(sat_conversion,[],[f716]) ).
cnf(s83,plain,
( ~ spl0_38
| spl0_81 ),
inference(sat_conversion,[],[f721]) ).
cnf(s84,plain,
( ~ spl0_38
| spl0_82 ),
inference(sat_conversion,[],[f726]) ).
cnf(s85,plain,
( spl0_28
| ~ spl0_83 ),
inference(sat_conversion,[],[f731]) ).
cnf(s86,plain,
( spl0_28
| spl0_84 ),
inference(sat_conversion,[],[f736]) ).
cnf(s87,plain,
( ~ spl0_27
| spl0_85 ),
inference(sat_conversion,[],[f741]) ).
cnf(s88,plain,
( ~ spl0_27
| ~ spl0_86 ),
inference(sat_conversion,[],[f746]) ).
cnf(s91,plain,
( spl0_22
| ~ spl0_89 ),
inference(sat_conversion,[],[f761]) ).
cnf(s96,plain,
( ~ spl0_43
| spl0_94 ),
inference(sat_conversion,[],[f786]) ).
cnf(s97,plain,
( ~ spl0_43
| spl0_95 ),
inference(sat_conversion,[],[f791]) ).
cnf(s99,plain,
( ~ spl0_57
| ~ spl0_97 ),
inference(sat_conversion,[],[f801]) ).
cnf(s100,plain,
( ~ spl0_57
| ~ spl0_98 ),
inference(sat_conversion,[],[f806]) ).
cnf(s101,plain,
( ~ spl0_33
| spl0_99 ),
inference(sat_conversion,[],[f811]) ).
cnf(s102,plain,
( ~ spl0_33
| spl0_100 ),
inference(sat_conversion,[],[f816]) ).
cnf(s103,plain,
( ~ spl0_54
| ~ spl0_101 ),
inference(sat_conversion,[],[f821]) ).
cnf(s104,plain,
( spl0_53
| ~ spl0_102 ),
inference(sat_conversion,[],[f826]) ).
cnf(s105,plain,
( spl0_56
| ~ spl0_103 ),
inference(sat_conversion,[],[f831]) ).
cnf(s106,plain,
( spl0_56
| ~ spl0_104 ),
inference(sat_conversion,[],[f836]) ).
cnf(s107,plain,
( spl0_52
| spl0_105 ),
inference(sat_conversion,[],[f841]) ).
cnf(s108,plain,
( spl0_52
| ~ spl0_106 ),
inference(sat_conversion,[],[f846]) ).
cnf(s111,plain,
( ~ spl0_61
| spl0_109 ),
inference(sat_conversion,[],[f861]) ).
cnf(s112,plain,
( ~ spl0_61
| ~ spl0_110 ),
inference(sat_conversion,[],[f866]) ).
cnf(s113,plain,
( ~ spl0_50
| ~ spl0_111 ),
inference(sat_conversion,[],[f871]) ).
cnf(s114,plain,
( ~ spl0_50
| spl0_112 ),
inference(sat_conversion,[],[f876]) ).
cnf(s116,plain,
( spl0_42
| ~ spl0_114 ),
inference(sat_conversion,[],[f886]) ).
cnf(s117,plain,
( spl0_42
| ~ spl0_115 ),
inference(sat_conversion,[],[f891]) ).
cnf(s118,plain,
( ~ spl0_24
| spl0_116 ),
inference(sat_conversion,[],[f896]) ).
cnf(s119,plain,
( ~ spl0_24
| spl0_117 ),
inference(sat_conversion,[],[f901]) ).
cnf(s120,plain,
( spl0_47
| ~ spl0_118 ),
inference(sat_conversion,[],[f906]) ).
cnf(s121,plain,
( spl0_30
| spl0_119 ),
inference(sat_conversion,[],[f911]) ).
cnf(s122,plain,
( spl0_30
| spl0_120 ),
inference(sat_conversion,[],[f916]) ).
cnf(s123,plain,
( spl0_37
| ~ spl0_121 ),
inference(sat_conversion,[],[f921]) ).
cnf(s124,plain,
( spl0_37
| spl0_122 ),
inference(sat_conversion,[],[f926]) ).
cnf(s126,plain,
( spl0_39
| spl0_124 ),
inference(sat_conversion,[],[f936]) ).
cnf(s127,plain,
( ~ spl0_45
| ~ spl0_125 ),
inference(sat_conversion,[],[f941]) ).
cnf(s128,plain,
( ~ spl0_45
| ~ spl0_126 ),
inference(sat_conversion,[],[f946]) ).
cnf(s129,plain,
( ~ spl0_38
| spl0_127 ),
inference(sat_conversion,[],[f951]) ).
cnf(s130,plain,
( spl0_28
| spl0_128 ),
inference(sat_conversion,[],[f956]) ).
cnf(s131,plain,
( ~ spl0_27
| ~ spl0_129 ),
inference(sat_conversion,[],[f961]) ).
cnf(s133,plain,
( spl0_22
| spl0_131 ),
inference(sat_conversion,[],[f971]) ).
cnf(s134,plain,
( spl0_22
| ~ spl0_132 ),
inference(sat_conversion,[],[f976]) ).
cnf(s137,plain,
( ~ spl0_57
| ~ spl0_135 ),
inference(sat_conversion,[],[f991]) ).
cnf(s138,plain,
( ~ spl0_33
| spl0_136 ),
inference(sat_conversion,[],[f996]) ).
cnf(s139,plain,
( ~ spl0_54
| ~ spl0_137 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s140,plain,
( ~ spl0_54
| spl0_138 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s141,plain,
( spl0_53
| spl0_139 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s142,plain,
( spl0_53
| ~ spl0_140 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s143,plain,
( spl0_56
| ~ spl0_141 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s144,plain,
( spl0_52
| spl0_142 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s145,plain,
( ~ spl0_46
| spl0_143 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s146,plain,
( ~ spl0_46
| ~ spl0_144 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s147,plain,
( ~ spl0_46
| spl0_145 ),
inference(sat_conversion,[],[f1041]) ).
cnf(s148,plain,
( spl0_60
| ~ spl0_146 ),
inference(sat_conversion,[],[f1046]) ).
cnf(s149,plain,
( spl0_60
| ~ spl0_147 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s150,plain,
( spl0_60
| spl0_148 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s151,plain,
( ~ spl0_58
| spl0_149 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s152,plain,
( ~ spl0_58
| ~ spl0_150 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s153,plain,
( ~ spl0_58
| spl0_151 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s155,plain,
( ~ spl0_42
| ~ spl0_47
| spl0_57 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s156,plain,
( ~ spl0_28
| spl0_33
| spl0_45 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s158,plain,
( spl0_24
| ~ spl0_28
| spl0_46 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s160,plain,
( spl0_48
| ~ spl0_52
| spl0_58 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s162,plain,
( spl0_38
| spl0_54
| spl0_58 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s166,plain,
( spl0_3
| ~ spl0_48 ),
inference(sat_conversion,[],[f1084]) ).
cnf(s189,plain,
( spl0_3
| spl0_52 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s192,plain,
( spl0_3
| ~ spl0_58 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s194,plain,
( ~ spl0_2
| ~ spl0_11
| spl0_101
| spl0_137
| ~ spl0_138 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s196,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_80
| spl0_126 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s199,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_73
| spl0_118 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s205,plain,
( ~ spl0_5
| spl0_102
| ~ spl0_139
| spl0_140 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s206,plain,
( ~ spl0_8
| ~ spl0_71
| ~ spl0_116
| ~ spl0_117 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s208,plain,
( ~ spl0_4
| ~ spl0_143
| spl0_144
| spl0_154 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s212,plain,
( ~ spl0_12
| ~ spl0_81
| ~ spl0_82
| ~ spl0_127 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s214,plain,
( ~ spl0_11
| ~ spl0_15
| spl0_72
| spl0_118 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s219,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| spl0_101
| ~ spl0_138 ),
inference(sat_conversion,[],[f1271]) ).
cnf(s229,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f1337]) ).
cnf(s231,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_105
| spl0_106 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s233,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_81
| ~ spl0_127 ),
inference(sat_conversion,[],[f1352]) ).
cnf(s234,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_105
| ~ spl0_142 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s235,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_109
| spl0_110 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s244,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| spl0_111
| ~ spl0_112 ),
inference(sat_conversion,[],[f1384]) ).
cnf(s258,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| spl0_86
| spl0_129 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s263,plain,
( ~ spl0_2
| ~ spl0_71
| ~ spl0_117
| spl0_153 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s265,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_150 ),
inference(sat_conversion,[],[f1474]) ).
cnf(s266,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_147 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s269,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_23
| spl0_137 ),
inference(sat_conversion,[],[f1478]) ).
cnf(s274,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_131
| spl0_132 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s292,plain,
( ~ spl0_1
| ~ spl0_116
| ~ spl0_117
| ~ spl0_153 ),
inference(sat_conversion,[],[f1554]) ).
cnf(s294,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_78
| ~ spl0_124 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s297,plain,
( ~ spl0_16
| spl0_83
| ~ spl0_84
| ~ spl0_128 ),
inference(sat_conversion,[],[f1592]) ).
cnf(s302,plain,
( ~ spl0_19
| spl0_72
| ~ spl0_73
| spl0_118 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s320,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_89
| spl0_158 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s331,plain,
( ~ spl0_14
| spl0_144
| ~ spl0_145
| ~ spl0_154 ),
inference(sat_conversion,[],[f1697]) ).
cnf(s334,plain,
( ~ spl0_6
| spl0_89
| ~ spl0_131
| spl0_132 ),
inference(sat_conversion,[],[f1714]) ).
cnf(s346,plain,
( ~ spl0_7
| ~ spl0_63
| ~ spl0_109
| spl0_110 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s364,plain,
( ~ spl0_9
| spl0_67
| spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s368,plain,
( ~ spl0_5
| spl0_89
| ~ spl0_131
| spl0_158 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s372,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_132
| spl0_158 ),
inference(sat_conversion,[],[f1851]) ).
cnf(s402,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_16
| ~ spl0_64
| ~ spl0_112 ),
inference(sat_conversion,[],[f1949]) ).
cnf(s408,plain,
( ~ spl0_12
| ~ spl0_78
| ~ spl0_124
| ~ spl0_156 ),
inference(sat_conversion,[],[f1992]) ).
cnf(s409,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_105
| spl0_106
| ~ spl0_142 ),
inference(sat_conversion,[],[f1994]) ).
cnf(s434,plain,
( ~ spl0_8
| ~ spl0_81
| ~ spl0_127
| ~ spl0_159 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s441,plain,
( ~ spl0_2
| ~ spl0_23
| spl0_137
| ~ spl0_138 ),
inference(sat_conversion,[],[f2043]) ).
cnf(s443,plain,
( ~ spl0_2
| ~ spl0_23
| spl0_150
| ~ spl0_151 ),
inference(sat_conversion,[],[f2047]) ).
cnf(s445,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_89
| ~ spl0_131 ),
inference(sat_conversion,[],[f2057]) ).
cnf(s448,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_73
| spl0_118 ),
inference(sat_conversion,[],[f2069]) ).
cnf(s494,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_25
| ~ spl0_149
| ~ spl0_151 ),
inference(sat_conversion,[],[f2212]) ).
cnf(s541,plain,
( ~ spl0_7
| ~ spl0_131
| spl0_132
| ~ spl0_158 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s583,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_131
| ~ spl0_158 ),
inference(sat_conversion,[],[f2405]) ).
cnf(s593,plain,
( ~ spl0_10
| spl0_103
| spl0_104
| spl0_141 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s612,plain,
( ~ spl0_13
| ~ spl0_63
| spl0_110
| spl0_155 ),
inference(sat_conversion,[],[f2525]) ).
cnf(s643,plain,
( ~ spl0_23
| ~ spl0_29
| spl0_125
| spl0_126 ),
inference(sat_conversion,[],[f2594]) ).
cnf(s672,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20
| ~ spl0_35
| ~ spl0_73 ),
inference(sat_conversion,[],[f2711]) ).
cnf(s690,plain,
( ~ spl0_13
| ~ spl0_85
| spl0_86
| spl0_129 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s701,plain,
( ~ spl0_1
| ~ spl0_74
| ~ spl0_119
| ~ spl0_120 ),
inference(sat_conversion,[],[f2751]) ).
cnf(s703,plain,
( ~ spl0_6
| spl0_79
| ~ spl0_124
| spl0_156 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s730,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_99
| ~ spl0_100
| ~ spl0_136 ),
inference(sat_conversion,[],[f2876]) ).
cnf(s742,plain,
( ~ spl0_23
| ~ spl0_29
| spl0_73
| spl0_118 ),
inference(sat_conversion,[],[f2896]) ).
cnf(s751,plain,
( ~ spl0_13
| ~ spl0_23
| ~ spl0_29
| spl0_98
| spl0_135 ),
inference(sat_conversion,[],[f2907]) ).
cnf(s768,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_109
| ~ spl0_155 ),
inference(sat_conversion,[],[f2941]) ).
cnf(s770,plain,
( ~ spl0_6
| ~ spl0_109
| spl0_110
| spl0_155 ),
inference(sat_conversion,[],[f2947]) ).
cnf(s809,plain,
( ~ spl0_14
| ~ spl0_64
| spl0_111
| ~ spl0_112 ),
inference(sat_conversion,[],[f3002]) ).
cnf(s825,plain,
( ~ spl0_13
| spl0_98
| spl0_135
| ~ spl0_163 ),
inference(sat_conversion,[],[f3049]) ).
cnf(s840,plain,
( ~ spl0_1
| ~ spl0_35
| ~ spl0_73
| ~ spl0_175 ),
inference(sat_conversion,[],[f3096]) ).
cnf(s848,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_20
| spl0_72
| spl0_175 ),
inference(sat_conversion,[],[f3141]) ).
cnf(s851,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_23
| spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f3154]) ).
cnf(s852,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_23
| spl0_73
| spl0_118 ),
inference(sat_conversion,[],[f3156]) ).
cnf(s887,plain,
( ~ spl0_21
| ~ spl0_81
| ~ spl0_82
| spl0_159 ),
inference(sat_conversion,[],[f3182]) ).
cnf(s935,plain,
( ~ spl0_2
| ~ spl0_75
| spl0_121
| ~ spl0_122 ),
inference(sat_conversion,[],[f3241]) ).
cnf(s938,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_29 ),
inference(sat_conversion,[],[f3263]) ).
cnf(s950,plain,
( ~ spl0_17
| spl0_89
| ~ spl0_131
| ~ spl0_158 ),
inference(sat_conversion,[],[f3317]) ).
cnf(s973,plain,
( ~ spl0_1
| ~ spl0_82
| ~ spl0_127
| ~ spl0_159 ),
inference(sat_conversion,[],[f3331]) ).
cnf(s983,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_26
| ~ spl0_94
| ~ spl0_95 ),
inference(sat_conversion,[],[f3334]) ).
cnf(s990,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f3338]) ).
cnf(s997,plain,
( ~ spl0_13
| spl0_89
| spl0_132
| ~ spl0_158 ),
inference(sat_conversion,[],[f3346]) ).
cnf(s1010,plain,
( ~ spl0_23
| ~ spl0_29
| spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f3358]) ).
cnf(s1031,plain,
( ~ spl0_4
| ~ spl0_131
| spl0_132
| spl0_158 ),
inference(sat_conversion,[],[f3370]) ).
cnf(s1036,plain,
( ~ spl0_10
| spl0_97
| spl0_98
| spl0_163 ),
inference(sat_conversion,[],[f3379]) ).
cnf(s1050,plain,
( ~ spl0_23
| spl0_146
| spl0_147
| ~ spl0_148 ),
inference(sat_conversion,[],[f3388]) ).
cnf(s1092,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_63
| ~ spl0_109 ),
inference(sat_conversion,[],[f3487]) ).
cnf(s1105,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_35
| spl0_118 ),
inference(sat_conversion,[],[f3518]) ).
cnf(s1109,plain,
spl0_3,
inference(rat,[],[s160,s166,s189,s192]) ).
cnf(s1110,plain,
( spl0_8
| spl0_7
| spl0_13
| ~ spl0_4 ),
inference(rat,[],[s990,s116,s117,s29,s3,s1109]) ).
cnf(s1112,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(rat,[],[s206,s73,s118,s119]) ).
cnf(s1113,plain,
( ~ spl0_8
| spl0_13
| spl0_2 ),
inference(rat,[],[s10,s887,s233,s434,s83,s84,s129,s51,s1112,s1109]) ).
cnf(s1114,plain,
( spl0_22
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s274,s133,s134]) ).
cnf(s1115,plain,
( spl0_11
| ~ spl0_22
| spl0_114
| spl0_115
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1010,s938,s11,s4,s1109]) ).
cnf(s1117,plain,
( ~ spl0_48
| ~ spl0_20
| ~ spl0_18 ),
inference(rat,[],[s229,s67,s68]) ).
cnf(s1118,plain,
( ~ spl0_61
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s235,s111,s112]) ).
cnf(s1119,plain,
( ~ spl0_27
| spl0_2
| spl0_1 ),
inference(rat,[],[s244,s113,s114,s59,s1118,s1115,s1114,s258,s116,s117,s1110,s29,s1113,s690,s87,s88,s131,s1,s1109]) ).
cnf(s1120,plain,
( spl0_27
| spl0_1 ),
inference(rat,[],[s205,s104,s141,s142,s15,s53,s1109]) ).
cnf(s1121,plain,
( ~ spl0_7
| spl0_1 ),
inference(rat,[],[s320,s2,s541,s1114,s4,s334,s91,s133,s134,s11,s194,s103,s441,s1119,s1120,s139,s140,s55,s1109]) ).
cnf(s1122,plain,
( spl0_56
| ~ spl0_10 ),
inference(rat,[],[s593,s105,s106,s143]) ).
cnf(s1123,plain,
( ~ spl0_46
| ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s208,s331,s145,s146,s147]) ).
cnf(s1124,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s297,s85,s86,s130,s158,s1123,s54,s1117,s14,s38,s8,s1112,s950,s1110,s1031,s690,s87,s88,s131,s302,s74,s75,s120,s46,s334,s91,s133,s134,s11,s441,s1121,s1122,s4,s194,s1119,s1120,s103,s139,s140,s55,s1109]) ).
cnf(s1127,plain,
( ~ spl0_45
| spl0_1 ),
inference(rat,[],[s196,s82,s128,s4,s2,s1124,s334,s91,s133,s134,s11,s194,s103,s441,s1119,s1120,s139,s140,s55,s1109]) ).
cnf(s1128,plain,
spl0_1,
inference(rat,[],[s935,s77,s123,s124,s45,s1127,s441,s1119,s1120,s139,s140,s55,s1109]) ).
cnf(s1130,plain,
( ~ spl0_45
| ~ spl0_10
| ~ spl0_5 ),
inference(rat,[],[s196,s82,s128]) ).
cnf(s1131,plain,
( spl0_37
| ~ spl0_2 ),
inference(rat,[],[s935,s77,s123,s124]) ).
cnf(s1133,plain,
spl0_30,
inference(rat,[],[s701,s76,s121,s122,s1128]) ).
cnf(s1134,plain,
( ~ spl0_23
| ~ spl0_10
| ~ spl0_2
| ~ spl0_5 ),
inference(rat,[],[s212,s83,s84,s129,s58,s162,s149,s152,s139,s266,s265,s269,s1133,s1109]) ).
cnf(s1135,plain,
( ~ spl0_10
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1134,s45,s1130,s1131,s1109]) ).
cnf(s1136,plain,
( spl0_52
| ~ spl0_18
| ~ spl0_8 ),
inference(rat,[],[s234,s107,s144]) ).
cnf(s1137,plain,
( spl0_22
| spl0_19
| ~ spl0_25
| ~ spl0_5
| ~ spl0_8 ),
inference(rat,[],[s494,s151,s153,s160,s1136,s1117,s8,s38,s445,s334,s91,s133,s134,s1112,s1109]) ).
cnf(s1138,plain,
( ~ spl0_58
| ~ spl0_18
| ~ spl0_25
| ~ spl0_8 ),
inference(rat,[],[s494,s151,s153]) ).
cnf(s1139,plain,
( ~ spl0_38
| ~ spl0_18
| ~ spl0_8 ),
inference(rat,[],[s233,s83,s129]) ).
cnf(s1140,plain,
( ~ spl0_54
| ~ spl0_16
| ~ spl0_11
| ~ spl0_8 ),
inference(rat,[],[s219,s103,s140]) ).
cnf(s1141,plain,
( ~ spl0_18
| spl0_54
| ~ spl0_25
| ~ spl0_8 ),
inference(rat,[],[s162,s1139,s1138]) ).
cnf(s1144,plain,
( ~ spl0_61
| ~ spl0_17 ),
inference(rat,[],[s1092,s65,s111,s1128]) ).
cnf(s1145,plain,
( ~ spl0_16
| spl0_15
| ~ spl0_11
| spl0_19
| ~ spl0_25
| ~ spl0_8 ),
inference(rat,[],[s402,s66,s114,s59,s1144,s8,s1141,s1140,s1128,s1109]) ).
cnf(s1146,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_25
| ~ spl0_8 ),
inference(rat,[],[s160,s1117,s1138,s1136]) ).
cnf(s1147,plain,
( ~ spl0_50
| ~ spl0_14 ),
inference(rat,[],[s809,s66,s113,s114]) ).
cnf(s1148,plain,
( ~ spl0_5
| ~ spl0_2
| spl0_50
| ~ spl0_8
| ~ spl0_29 ),
inference(rat,[],[s8,s1146,s1144,s9,s59,s1145,s214,s11,s1137,s302,s74,s75,s120,s46,s643,s127,s128,s18,s60,s1135,s1112,s1109]) ).
cnf(s1149,plain,
( spl0_22
| ~ spl0_6 ),
inference(rat,[],[s334,s91,s133,s134]) ).
cnf(s1150,plain,
( ~ spl0_54
| ~ spl0_23
| ~ spl0_2 ),
inference(rat,[],[s441,s139,s140]) ).
cnf(s1151,plain,
( ~ spl0_23
| spl0_38
| ~ spl0_2 ),
inference(rat,[],[s443,s152,s153,s162,s1150]) ).
cnf(s1152,plain,
( ~ spl0_61
| ~ spl0_6 ),
inference(rat,[],[s768,s770,s65,s111,s112,s1128]) ).
cnf(s1153,plain,
( ~ spl0_38
| spl0_13
| ~ spl0_8 ),
inference(rat,[],[s10,s887,s973,s1139,s83,s84,s129,s1109,s1128]) ).
cnf(s1154,plain,
( ~ spl0_6
| spl0_23
| spl0_50 ),
inference(rat,[],[s214,s11,s59,s1152,s1149,s120,s74,s46,s1109]) ).
cnf(s1155,plain,
( ~ spl0_18
| spl0_16
| ~ spl0_20
| ~ spl0_8 ),
inference(rat,[],[s1122,s54,s18,s1117,s1146,s1112,s1109]) ).
cnf(s1156,plain,
( spl0_13
| ~ spl0_14
| ~ spl0_8
| ~ spl0_29 ),
inference(rat,[],[s583,s1031,s133,s134,s11,s214,s59,s1144,s8,s1155,s297,s85,s86,s130,s158,s1123,s2,s38,s302,s1154,s74,s75,s120,s46,s1151,s1153,s1148,s1113,s1112,s1147,s1128,s1109]) ).
cnf(s1157,plain,
( spl0_47
| ~ spl0_13
| ~ spl0_14 ),
inference(rat,[],[s448,s75,s120]) ).
cnf(s1158,plain,
( spl0_60
| ~ spl0_23 ),
inference(rat,[],[s1050,s148,s149,s150]) ).
cnf(s1159,plain,
( ~ spl0_38
| ~ spl0_12 ),
inference(rat,[],[s212,s83,s84,s129]) ).
cnf(s1160,plain,
( ~ spl0_8
| spl0_7 ),
inference(rat,[],[s1151,s51,s1159,s58,s1158,s46,s1157,s1156,s14,s1112,s17,s1109,s1133]) ).
cnf(s1161,plain,
( spl0_42
| ~ spl0_9 ),
inference(rat,[],[s364,s69,s116,s117]) ).
cnf(s1162,plain,
( ~ spl0_24
| ~ spl0_2 ),
inference(rat,[],[s292,s263,s73,s118,s119,s1128]) ).
cnf(s1163,plain,
( ~ spl0_2
| spl0_7 ),
inference(rat,[],[s1159,s58,s1151,s1158,s46,s1157,s14,s1162,s29,s1161,s3,s1160,s1109,s1133]) ).
cnf(s1164,plain,
( spl0_22
| spl0_7 ),
inference(rat,[],[s2,s368,s372,s997,s1149,s91,s133,s134,s29,s1161,s3,s1160,s1109]) ).
cnf(s1166,plain,
( ~ spl0_50
| ~ spl0_16
| ~ spl0_11 ),
inference(rat,[],[s402,s66,s114,s1128]) ).
cnf(s1167,plain,
( ~ spl0_61
| ~ spl0_13 ),
inference(rat,[],[s612,s768,s65,s111,s112,s1128]) ).
cnf(s1168,plain,
( spl0_23
| spl0_7 ),
inference(rat,[],[s1166,s59,s7,s214,s1157,s74,s120,s11,s46,s1164,s1167,s29,s1161,s3,s1160,s1109]) ).
cnf(s1170,plain,
( ~ spl0_33
| ~ spl0_16
| ~ spl0_12 ),
inference(rat,[],[s730,s101,s102,s138]) ).
cnf(s1171,plain,
( ~ spl0_45
| spl0_7 ),
inference(rat,[],[s643,s127,s128,s17,s1168,s1109,s1133]) ).
cnf(s1172,plain,
( ~ spl0_16
| spl0_7 ),
inference(rat,[],[s297,s85,s86,s130,s156,s1170,s58,s1158,s1168,s1171,s1133,s1109]) ).
cnf(s1173,plain,
( ~ spl0_43
| ~ spl0_17
| ~ spl0_26 ),
inference(rat,[],[s983,s96,s97,s1128]) ).
cnf(s1174,plain,
( spl0_72
| spl0_118
| spl0_7 ),
inference(rat,[],[s2,s848,s1105,s840,s30,s1173,s8,s231,s9,s302,s409,s58,s1158,s107,s108,s144,s52,s1163,s32,s1171,s7,s448,s742,s17,s1168,s29,s1161,s3,s1160,s1172,s1109,s1128,s1133]) ).
cnf(s1175,plain,
( ~ spl0_57
| spl0_7 ),
inference(rat,[],[s751,s100,s137,s17,s29,s1161,s3,s1160,s1168,s1109,s1133]) ).
cnf(s1176,plain,
( spl0_8
| spl0_7 ),
inference(rat,[],[s1174,s74,s120,s155,s1175,s1161,s3,s1109]) ).
cnf(s1177,plain,
spl0_7,
inference(rat,[],[s1176,s1160]) ).
cnf(s1178,plain,
spl0_22,
inference(rat,[],[s368,s2,s541,s1114,s1149,s91,s133,s134,s1109,s1177]) ).
cnf(s1181,plain,
~ spl0_61,
inference(rat,[],[s346,s65,s111,s112,s1177]) ).
cnf(s1182,plain,
( ~ spl0_11
| spl0_118
| spl0_72 ),
inference(rat,[],[s7,s1166,s1147,s59,s214,s1181,s1109]) ).
cnf(s1183,plain,
spl0_23,
inference(rat,[],[s1182,s11,s74,s120,s46,s1178,s1109]) ).
cnf(s1184,plain,
spl0_60,
inference(rat,[],[s1158,s1183]) ).
cnf(s1185,plain,
spl0_12,
inference(rat,[],[s58,s1133,s1109,s1184]) ).
cnf(s1186,plain,
~ spl0_38,
inference(rat,[],[s1159,s1185]) ).
cnf(s1187,plain,
~ spl0_2,
inference(rat,[],[s1151,s1183,s1186]) ).
cnf(s1188,plain,
~ spl0_52,
inference(rat,[],[s52,s1109,s1133,s1187]) ).
cnf(s1189,plain,
spl0_24,
inference(rat,[],[s51,s1186,s1109,s1187]) ).
cnf(s1190,plain,
spl0_142,
inference(rat,[],[s144,s1188]) ).
cnf(s1191,plain,
~ spl0_106,
inference(rat,[],[s108,s1188]) ).
cnf(s1192,plain,
spl0_105,
inference(rat,[],[s107,s1188]) ).
cnf(s1196,plain,
~ spl0_8,
inference(rat,[],[s1112,s1189]) ).
cnf(s1197,plain,
~ spl0_5,
inference(rat,[],[s409,s1190,s1191,s1185,s1192]) ).
cnf(s1199,plain,
( spl0_28
| ~ spl0_16 ),
inference(rat,[],[s297,s85,s86,s130]) ).
cnf(s1200,plain,
~ spl0_16,
inference(rat,[],[s643,s127,s128,s156,s16,s1199,s1170,s1183,s1109,s1196,s1185]) ).
cnf(s1201,plain,
( ~ spl0_4
| spl0_29 ),
inference(rat,[],[s294,s80,s126,s27,s938,s1197,s1109,s1185,s1177]) ).
cnf(s1202,plain,
spl0_13,
inference(rat,[],[s1201,s2,s851,s1010,s59,s116,s117,s1147,s29,s6,s1197,s1109,s1183,s1181,s1196,s1187]) ).
cnf(s1203,plain,
spl0_15,
inference(rat,[],[s1147,s7,s59,s1109,s1200,s1181]) ).
cnf(s1204,plain,
( spl0_35
| ~ spl0_17 ),
inference(rat,[],[s1173,s30,s41,s1109,s1200,s1186]) ).
cnf(s1205,plain,
( ~ spl0_73
| spl0_19
| spl0_72 ),
inference(rat,[],[s2,s848,s672,s840,s1204,s8,s231,s9,s1197,s1109,s1203,s1128,s1177,s1191,s1192,s1200]) ).
cnf(s1206,plain,
( spl0_73
| spl0_118 ),
inference(rat,[],[s2,s1201,s852,s742,s1183,s1203,s1109,s1197]) ).
cnf(s1207,plain,
( spl0_118
| spl0_72 ),
inference(rat,[],[s1205,s199,s1206,s1177]) ).
cnf(s1209,plain,
( spl0_42
| ~ spl0_29 ),
inference(rat,[],[s1010,s116,s117,s1183]) ).
cnf(s1210,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(rat,[],[s751,s100,s137,s155,s1209,s1183,s1202]) ).
cnf(s1212,plain,
( spl0_42
| ~ spl0_6 ),
inference(rat,[],[s851,s116,s117,s1203,s1183]) ).
cnf(s1213,plain,
~ spl0_47,
inference(rat,[],[s703,s408,s80,s81,s126,s27,s1036,s825,s99,s100,s137,s155,s1212,s2,s1201,s1210,s1185,s1109,s1197,s1202]) ).
cnf(s1214,plain,
~ spl0_118,
inference(rat,[],[s120,s1213]) ).
cnf(s1216,plain,
~ spl0_72,
inference(rat,[],[s74,s1213]) ).
cnf(s1219,plain,
$false,
inference(rat,[],[s1207,s1216,s1214]) ).
fof(f3522,plain,
$false,
inference(avatar_sat_refutation,[],[s1219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN475-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 % Computer : n005.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 16:10:47 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.29 % (905652)Will run a generic schedule for satisfiability detection.
% 0.11/0.29 % (905658)% WARNING: option uhcvi not known.
% 0.11/0.29 % (905658)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1635827539:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.29 % (905660)dis+10_1_sil=32000:sp=arity:random_seed=1250035453:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.29 % (905657)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=130098813_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.29 % (905661)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=65397931:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.29 % (905659)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2418730837:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.29 % (905663)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=570260069:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.29 % Detected minimum model sizes of [1]
% 0.11/0.29 % Detected maximum model sizes of [30]
% 0.11/0.29 % TRYING [1]
% 0.11/0.29 % TRYING [2]
% 0.11/0.29 % TRYING [3]
% 0.11/0.29 % (905662)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1559580621:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.29 % TRYING [4]
% 0.11/0.29 % (905658) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-905652-905658"...
% 0.11/0.29 % (905658)...printing done.
% 0.11/0.29 % (905658)Refutation found. Thanks to Tanya!
% 0.11/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.31 % (905658)------------------------------
% 0.24/0.31 % (905658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.31 % (905658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.31 % (905658)CaDiCaL version: 2.1.3
% 0.24/0.31 % (905658)Termination reason: Refutation
% 0.24/0.31 % (905658)Time elapsed: 0.032 s
% 0.24/0.31 % (905658)Peak memory usage: 13 MB
% 0.24/0.31 % (905658)Instructions burned: 84 (million)
% 0.24/0.31 % (905652)Success in time 0.062 s
% 0.24/0.31 % Vampire exiting
%------------------------------------------------------------------------------