%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO500_8.008 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 02:31:21 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 26
% Syntax : Number of formulae : 418 ( 10 unt; 0 typ; 25 def)
% Number of atoms : 2123 ( 2 equ)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 2120 ( 811 ~;1282 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 396 ( 396 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 45 ( 42 usr; 36 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
f0: $o > $o ).
tff(pred_def_3,type,
f1: $o > $o ).
tff(pred_def_4,type,
f2: $o > $o ).
tff(pred_def_5,type,
f3: $o > $o ).
tff(pred_def_6,type,
f4: $o > $o ).
tff(pred_def_7,type,
f5: $o > $o ).
tff(pred_def_8,type,
f6: $o > $o ).
tff(pred_def_9,type,
f7: $o > $o ).
tff(f1,conjecture,
f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(f7(x)))))))))))))))) = f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(f7(f7(f7(x)))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski8) ).
tff(f2,negated_conjecture,
f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(f7(x)))))))))))))))) != f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(f7(f7(f7(x)))))))))))))))),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(f7(x))))))))))))))))
<=> f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(f7(f7(f7(x)))))))))))))))) ),
inference(flattening,[],[f2]) ).
tff(f4,plain,
( f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(f7(x))))))))))))))))
<~> f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(f7(f7(f7(x)))))))))))))))) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ~ x
| ~ f7($true)
| sP7 ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
( x
| ~ f7($false)
| ~ f7($true)
| sP7 ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( x
| f7($true)
| ~ f7($false)
| sP7 ),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
( ~ x
| ~ f7($false)
| f7($true)
| ~ sP7 ),
inference(cnf_transformation,[],[f4]) ).
tff(f9,plain,
( ~ x
| f7($true)
| f7($false)
| ~ sP7 ),
inference(cnf_transformation,[],[f4]) ).
tff(f10,plain,
( x
| f7($false)
| ~ sP7 ),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
( ~ x
| f7($true)
| f6($false)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f12,plain,
( x
| f7($false)
| f6($false)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f13,plain,
( ~ x
| ~ f7($true)
| f6($true)
| f6($false)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f14,plain,
( x
| ~ f7($false)
| f6($true)
| f6($false)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f15,plain,
( ~ x
| ~ f7($true)
| ~ f6($false)
| f6($true)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f16,plain,
( x
| ~ f7($false)
| ~ f6($false)
| f6($true)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f17,plain,
( ~ x
| f7($true)
| f6($true)
| ~ f6($false)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f18,plain,
( x
| f7($false)
| f6($true)
| ~ f6($false)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f19,plain,
( ~ x
| f7($true)
| ~ f6($false)
| ~ f6($true)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f20,plain,
( x
| f7($false)
| ~ f6($false)
| ~ f6($true)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f21,plain,
( ~ x
| ~ f7($true)
| ~ f6($true)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f22,plain,
( x
| ~ f7($false)
| ~ f6($true)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f23,plain,
( ~ sP7
| f6($true)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f24,plain,
( sP7
| f6($false)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f25,plain,
( ~ sP7
| ~ f6($true)
| f5($true)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f26,plain,
( sP7
| ~ f6($false)
| f5($true)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f27,plain,
( ~ sP7
| ~ f6($true)
| ~ f5($false)
| f5($true)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f28,plain,
( sP7
| ~ f6($false)
| ~ f5($false)
| f5($true)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f29,plain,
( ~ sP7
| f6($true)
| f5($true)
| ~ f5($false)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f30,plain,
( sP7
| f6($false)
| f5($true)
| ~ f5($false)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f31,plain,
( ~ sP7
| f6($true)
| ~ f5($false)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f32,plain,
( sP7
| f6($false)
| ~ f5($false)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f33,plain,
( ~ sP7
| ~ f6($true)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f34,plain,
( sP7
| ~ f6($false)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f35,plain,
( ~ sP6
| f5($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f36,plain,
( sP6
| f5($false)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f37,plain,
( ~ sP6
| ~ f5($true)
| f4($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f38,plain,
( sP6
| ~ f5($false)
| f4($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f39,plain,
( ~ sP6
| ~ f5($true)
| ~ f4($false)
| f4($true)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f40,plain,
( sP6
| ~ f5($false)
| ~ f4($false)
| f4($true)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f41,plain,
( ~ sP6
| f5($true)
| f4($true)
| ~ f4($false)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f42,plain,
( sP6
| f5($false)
| f4($true)
| ~ f4($false)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f43,plain,
( ~ sP6
| f5($true)
| ~ f4($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f44,plain,
( sP6
| f5($false)
| ~ f4($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f45,plain,
( ~ sP6
| ~ f5($true)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f46,plain,
( sP6
| ~ f5($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f47,plain,
( ~ sP5
| f4($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f48,plain,
( sP5
| f4($false)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f49,plain,
( ~ sP5
| ~ f4($true)
| f3($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f50,plain,
( sP5
| ~ f4($false)
| f3($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f51,plain,
( ~ sP5
| ~ f4($true)
| ~ f3($false)
| f3($true)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f52,plain,
( sP5
| ~ f4($false)
| ~ f3($false)
| f3($true)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f53,plain,
( ~ sP5
| f4($true)
| f3($true)
| ~ f3($false)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f54,plain,
( sP5
| f4($false)
| f3($true)
| ~ f3($false)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f55,plain,
( ~ sP5
| f4($true)
| ~ f3($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f56,plain,
( sP5
| f4($false)
| ~ f3($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f57,plain,
( ~ sP5
| ~ f4($true)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f58,plain,
( sP5
| ~ f4($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f61,plain,
( ~ sP4
| ~ f3($true)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f62,plain,
( sP4
| ~ f3($false)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f63,plain,
( ~ sP4
| ~ f3($true)
| f2($true)
| ~ f2($false)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f64,plain,
( sP4
| ~ f3($false)
| f2($true)
| ~ f2($false)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f65,plain,
( ~ sP4
| f3($true)
| ~ f2($false)
| f2($true)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f66,plain,
( sP4
| f3($false)
| ~ f2($false)
| f2($true)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f67,plain,
( ~ sP4
| f3($true)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f68,plain,
( sP4
| f3($false)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f71,plain,
( ~ sP3
| f2($true)
| f1($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f72,plain,
( sP3
| f2($false)
| f1($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f73,plain,
( ~ sP3
| ~ f2($true)
| f1($true)
| f1($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f74,plain,
( sP3
| ~ f2($false)
| f1($true)
| f1($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f75,plain,
( ~ sP3
| ~ f2($true)
| ~ f1($false)
| f1($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f76,plain,
( sP3
| ~ f2($false)
| ~ f1($false)
| f1($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f77,plain,
( ~ sP3
| f2($true)
| f1($true)
| ~ f1($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f78,plain,
( sP3
| f2($false)
| f1($true)
| ~ f1($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f79,plain,
( ~ sP3
| f2($true)
| ~ f1($false)
| ~ f1($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f80,plain,
( sP3
| f2($false)
| ~ f1($false)
| ~ f1($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f81,plain,
( ~ sP3
| ~ f2($true)
| ~ f1($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f82,plain,
( sP3
| ~ f2($false)
| ~ f1($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f83,plain,
( ~ sP2
| f2($true)
| ~ f1($false)
| ~ f0($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f84,plain,
( sP2
| f2($false)
| ~ f1($false)
| ~ f0($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f85,plain,
( ~ sP2
| ~ f2($true)
| ~ f1($true)
| ~ f0($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f86,plain,
( sP2
| ~ f2($false)
| ~ f1($true)
| ~ f0($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f87,plain,
( ~ sP2
| f2($true)
| f1($false)
| ~ f0($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f88,plain,
( sP2
| f2($false)
| f1($false)
| ~ f0($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f89,plain,
( ~ sP2
| ~ f2($true)
| f1($true)
| ~ f0($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f90,plain,
( sP2
| ~ f2($false)
| f1($true)
| ~ f0($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f91,plain,
( ~ sP2
| f2($true)
| ~ f1($false)
| f0($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f92,plain,
( sP2
| f2($false)
| ~ f1($false)
| f0($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f93,plain,
( ~ sP2
| ~ f2($true)
| ~ f1($true)
| f0($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f94,plain,
( sP2
| ~ f2($false)
| ~ f1($true)
| f0($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f95,plain,
( ~ sP2
| f2($true)
| f1($false)
| f0($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f96,plain,
( sP2
| f2($false)
| f1($false)
| f0($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f97,plain,
( ~ sP2
| ~ f2($true)
| f1($true)
| f0($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f98,plain,
( sP2
| ~ f2($false)
| f1($true)
| f0($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f99,plain,
( sP0
| ~ f0($false)
| ~ sP1
| ~ f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f101,plain,
( ~ sP0
| ~ sP1
| ~ f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f103,plain,
( sP0
| ~ sP1
| f0($true)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f104,plain,
( ~ sP0
| sP1
| ~ f0($false)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f106,plain,
( sP0
| sP1
| f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f108,plain,
( ~ sP0
| f0($true)
| sP1
| f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f112,definition,
( spl8_1
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
tff(f116,definition,
( spl8_2
<=> f7($true) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
tff(f120,definition,
( spl8_3
<=> x ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
tff(f123,plain,
( spl8_1
| ~ spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f5,f120,f116,f112]) ).
tff(f125,definition,
( spl8_4
<=> f7($false) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
tff(f128,plain,
( spl8_1
| ~ spl8_2
| ~ spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f6,f120,f125,f116,f112]) ).
tff(f129,plain,
( spl8_1
| ~ spl8_4
| spl8_2
| spl8_3 ),
inference(avatar_split_clause,[],[f7,f120,f116,f125,f112]) ).
tff(f130,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_4
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f8,f120,f125,f116,f112]) ).
tff(f131,plain,
( ~ spl8_1
| spl8_4
| spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f9,f120,f116,f125,f112]) ).
tff(f132,plain,
( ~ spl8_1
| spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f10,f120,f125,f112]) ).
tff(f134,definition,
( spl8_5
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
tff(f138,definition,
( spl8_6
<=> f6($false) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
tff(f141,plain,
( ~ spl8_5
| spl8_6
| spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f11,f120,f116,f138,f134]) ).
tff(f142,plain,
( ~ spl8_5
| spl8_6
| spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f12,f120,f125,f138,f134]) ).
tff(f144,definition,
( spl8_7
<=> f6($true) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
tff(f147,plain,
( ~ spl8_5
| spl8_6
| spl8_7
| ~ spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f13,f120,f116,f144,f138,f134]) ).
tff(f148,plain,
( ~ spl8_5
| spl8_6
| spl8_7
| ~ spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f14,f120,f125,f144,f138,f134]) ).
tff(f149,plain,
( ~ spl8_5
| spl8_7
| ~ spl8_6
| ~ spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f15,f120,f116,f138,f144,f134]) ).
tff(f150,plain,
( ~ spl8_5
| spl8_7
| ~ spl8_6
| ~ spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f16,f120,f125,f138,f144,f134]) ).
tff(f151,plain,
( spl8_5
| ~ spl8_6
| spl8_7
| spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f17,f120,f116,f144,f138,f134]) ).
tff(f152,plain,
( spl8_5
| ~ spl8_6
| spl8_7
| spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f18,f120,f125,f144,f138,f134]) ).
tff(f153,plain,
( spl8_5
| ~ spl8_7
| ~ spl8_6
| spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f19,f120,f116,f138,f144,f134]) ).
tff(f154,plain,
( spl8_5
| ~ spl8_7
| ~ spl8_6
| spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f20,f120,f125,f138,f144,f134]) ).
tff(f155,plain,
( spl8_5
| ~ spl8_7
| ~ spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f21,f120,f116,f144,f134]) ).
tff(f156,plain,
( spl8_5
| ~ spl8_7
| ~ spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f22,f120,f125,f144,f134]) ).
tff(f158,definition,
( spl8_8
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
tff(f162,definition,
( spl8_9
<=> f5($false) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
tff(f165,plain,
( ~ spl8_8
| spl8_9
| spl8_7
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f23,f112,f144,f162,f158]) ).
tff(f166,plain,
( ~ spl8_8
| spl8_9
| spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f24,f112,f138,f162,f158]) ).
tff(f168,definition,
( spl8_10
<=> f5($true) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
tff(f171,plain,
( ~ spl8_8
| spl8_9
| spl8_10
| ~ spl8_7
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f25,f112,f144,f168,f162,f158]) ).
tff(f172,plain,
( ~ spl8_8
| spl8_9
| spl8_10
| ~ spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f26,f112,f138,f168,f162,f158]) ).
tff(f173,plain,
( ~ spl8_8
| spl8_10
| ~ spl8_9
| ~ spl8_7
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f27,f112,f144,f162,f168,f158]) ).
tff(f174,plain,
( ~ spl8_8
| spl8_10
| ~ spl8_9
| ~ spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f28,f112,f138,f162,f168,f158]) ).
tff(f175,plain,
( spl8_8
| ~ spl8_9
| spl8_10
| spl8_7
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f29,f112,f144,f168,f162,f158]) ).
tff(f176,plain,
( spl8_8
| ~ spl8_9
| spl8_10
| spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f30,f112,f138,f168,f162,f158]) ).
tff(f177,plain,
( spl8_8
| ~ spl8_10
| ~ spl8_9
| spl8_7
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f31,f112,f144,f162,f168,f158]) ).
tff(f178,plain,
( spl8_8
| ~ spl8_10
| ~ spl8_9
| spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f32,f112,f138,f162,f168,f158]) ).
tff(f179,plain,
( spl8_8
| ~ spl8_10
| ~ spl8_7
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f33,f112,f144,f168,f158]) ).
tff(f180,plain,
( spl8_8
| ~ spl8_10
| ~ spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f34,f112,f138,f168,f158]) ).
tff(f182,definition,
( spl8_11
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
tff(f186,definition,
( spl8_12
<=> f4($false) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
tff(f189,plain,
( ~ spl8_11
| spl8_12
| spl8_10
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f35,f134,f168,f186,f182]) ).
tff(f190,plain,
( ~ spl8_11
| spl8_12
| spl8_9
| spl8_5 ),
inference(avatar_split_clause,[],[f36,f134,f162,f186,f182]) ).
tff(f192,definition,
( spl8_13
<=> f4($true) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
tff(f195,plain,
( ~ spl8_11
| spl8_12
| spl8_13
| ~ spl8_10
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f37,f134,f168,f192,f186,f182]) ).
tff(f196,plain,
( ~ spl8_11
| spl8_12
| spl8_13
| ~ spl8_9
| spl8_5 ),
inference(avatar_split_clause,[],[f38,f134,f162,f192,f186,f182]) ).
tff(f197,plain,
( ~ spl8_11
| spl8_13
| ~ spl8_12
| ~ spl8_10
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f39,f134,f168,f186,f192,f182]) ).
tff(f198,plain,
( ~ spl8_11
| spl8_13
| ~ spl8_12
| ~ spl8_9
| spl8_5 ),
inference(avatar_split_clause,[],[f40,f134,f162,f186,f192,f182]) ).
tff(f199,plain,
( spl8_11
| ~ spl8_12
| spl8_13
| spl8_10
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f41,f134,f168,f192,f186,f182]) ).
tff(f200,plain,
( spl8_11
| ~ spl8_12
| spl8_13
| spl8_9
| spl8_5 ),
inference(avatar_split_clause,[],[f42,f134,f162,f192,f186,f182]) ).
tff(f201,plain,
( spl8_11
| ~ spl8_13
| ~ spl8_12
| spl8_10
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f43,f134,f168,f186,f192,f182]) ).
tff(f202,plain,
( spl8_11
| ~ spl8_13
| ~ spl8_12
| spl8_9
| spl8_5 ),
inference(avatar_split_clause,[],[f44,f134,f162,f186,f192,f182]) ).
tff(f203,plain,
( spl8_11
| ~ spl8_13
| ~ spl8_10
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f45,f134,f168,f192,f182]) ).
tff(f204,plain,
( spl8_11
| ~ spl8_13
| ~ spl8_9
| spl8_5 ),
inference(avatar_split_clause,[],[f46,f134,f162,f192,f182]) ).
tff(f206,definition,
( spl8_14
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
tff(f210,definition,
( spl8_15
<=> f3($false) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
tff(f213,plain,
( ~ spl8_14
| spl8_15
| spl8_13
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f47,f158,f192,f210,f206]) ).
tff(f214,plain,
( ~ spl8_14
| spl8_15
| spl8_12
| spl8_8 ),
inference(avatar_split_clause,[],[f48,f158,f186,f210,f206]) ).
tff(f216,definition,
( spl8_16
<=> f3($true) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
tff(f219,plain,
( ~ spl8_14
| spl8_15
| spl8_16
| ~ spl8_13
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f49,f158,f192,f216,f210,f206]) ).
tff(f220,plain,
( ~ spl8_14
| spl8_15
| spl8_16
| ~ spl8_12
| spl8_8 ),
inference(avatar_split_clause,[],[f50,f158,f186,f216,f210,f206]) ).
tff(f221,plain,
( ~ spl8_14
| spl8_16
| ~ spl8_15
| ~ spl8_13
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f51,f158,f192,f210,f216,f206]) ).
tff(f222,plain,
( ~ spl8_14
| spl8_16
| ~ spl8_15
| ~ spl8_12
| spl8_8 ),
inference(avatar_split_clause,[],[f52,f158,f186,f210,f216,f206]) ).
tff(f223,plain,
( spl8_14
| ~ spl8_15
| spl8_16
| spl8_13
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f53,f158,f192,f216,f210,f206]) ).
tff(f224,plain,
( spl8_14
| ~ spl8_15
| spl8_16
| spl8_12
| spl8_8 ),
inference(avatar_split_clause,[],[f54,f158,f186,f216,f210,f206]) ).
tff(f225,plain,
( spl8_14
| ~ spl8_16
| ~ spl8_15
| spl8_13
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f55,f158,f192,f210,f216,f206]) ).
tff(f226,plain,
( spl8_14
| ~ spl8_16
| ~ spl8_15
| spl8_12
| spl8_8 ),
inference(avatar_split_clause,[],[f56,f158,f186,f210,f216,f206]) ).
tff(f227,plain,
( spl8_14
| ~ spl8_16
| ~ spl8_13
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f57,f158,f192,f216,f206]) ).
tff(f228,plain,
( spl8_14
| ~ spl8_16
| ~ spl8_12
| spl8_8 ),
inference(avatar_split_clause,[],[f58,f158,f186,f216,f206]) ).
tff(f230,definition,
( spl8_17
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
tff(f234,definition,
( spl8_18
<=> f2($true) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
tff(f238,definition,
( spl8_19
<=> f2($false) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
tff(f243,plain,
( spl8_17
| ~ spl8_18
| ~ spl8_16
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f61,f182,f216,f234,f230]) ).
tff(f244,plain,
( spl8_17
| ~ spl8_18
| ~ spl8_15
| spl8_11 ),
inference(avatar_split_clause,[],[f62,f182,f210,f234,f230]) ).
tff(f245,plain,
( spl8_17
| ~ spl8_19
| spl8_18
| ~ spl8_16
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f63,f182,f216,f234,f238,f230]) ).
tff(f246,plain,
( spl8_17
| ~ spl8_19
| spl8_18
| ~ spl8_15
| spl8_11 ),
inference(avatar_split_clause,[],[f64,f182,f210,f234,f238,f230]) ).
tff(f247,plain,
( ~ spl8_17
| spl8_18
| ~ spl8_19
| spl8_16
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f65,f182,f216,f238,f234,f230]) ).
tff(f248,plain,
( ~ spl8_17
| spl8_18
| ~ spl8_19
| spl8_15
| spl8_11 ),
inference(avatar_split_clause,[],[f66,f182,f210,f238,f234,f230]) ).
tff(f249,plain,
( ~ spl8_17
| spl8_19
| spl8_16
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f67,f182,f216,f238,f230]) ).
tff(f250,plain,
( ~ spl8_17
| spl8_19
| spl8_15
| spl8_11 ),
inference(avatar_split_clause,[],[f68,f182,f210,f238,f230]) ).
tff(f254,definition,
( spl8_20
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl8_20])],[avatar_definition]) ).
tff(f258,definition,
( spl8_21
<=> f1($false) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
tff(f261,plain,
( ~ spl8_20
| spl8_21
| spl8_18
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f71,f206,f234,f258,f254]) ).
tff(f262,plain,
( ~ spl8_20
| spl8_21
| spl8_19
| spl8_14 ),
inference(avatar_split_clause,[],[f72,f206,f238,f258,f254]) ).
tff(f264,definition,
( spl8_22
<=> f1($true) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
tff(f267,plain,
( ~ spl8_20
| spl8_21
| spl8_22
| ~ spl8_18
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f73,f206,f234,f264,f258,f254]) ).
tff(f268,plain,
( ~ spl8_20
| spl8_21
| spl8_22
| ~ spl8_19
| spl8_14 ),
inference(avatar_split_clause,[],[f74,f206,f238,f264,f258,f254]) ).
tff(f269,plain,
( ~ spl8_20
| spl8_22
| ~ spl8_21
| ~ spl8_18
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f75,f206,f234,f258,f264,f254]) ).
tff(f270,plain,
( ~ spl8_20
| spl8_22
| ~ spl8_21
| ~ spl8_19
| spl8_14 ),
inference(avatar_split_clause,[],[f76,f206,f238,f258,f264,f254]) ).
tff(f271,plain,
( spl8_20
| ~ spl8_21
| spl8_22
| spl8_18
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f77,f206,f234,f264,f258,f254]) ).
tff(f272,plain,
( spl8_20
| ~ spl8_21
| spl8_22
| spl8_19
| spl8_14 ),
inference(avatar_split_clause,[],[f78,f206,f238,f264,f258,f254]) ).
tff(f273,plain,
( spl8_20
| ~ spl8_22
| ~ spl8_21
| spl8_18
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f79,f206,f234,f258,f264,f254]) ).
tff(f274,plain,
( spl8_20
| ~ spl8_22
| ~ spl8_21
| spl8_19
| spl8_14 ),
inference(avatar_split_clause,[],[f80,f206,f238,f258,f264,f254]) ).
tff(f275,plain,
( spl8_20
| ~ spl8_22
| ~ spl8_18
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f81,f206,f234,f264,f254]) ).
tff(f276,plain,
( spl8_20
| ~ spl8_22
| ~ spl8_19
| spl8_14 ),
inference(avatar_split_clause,[],[f82,f206,f238,f264,f254]) ).
tff(f278,definition,
( spl8_23
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl8_23])],[avatar_definition]) ).
tff(f282,definition,
( spl8_24
<=> f0($true) ),
introduced(definition,[new_symbols(definition,[spl8_24])],[avatar_definition]) ).
tff(f285,plain,
( spl8_23
| ~ spl8_24
| ~ spl8_21
| spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f83,f230,f234,f258,f282,f278]) ).
tff(f286,plain,
( spl8_23
| ~ spl8_24
| ~ spl8_21
| spl8_19
| spl8_17 ),
inference(avatar_split_clause,[],[f84,f230,f238,f258,f282,f278]) ).
tff(f287,plain,
( spl8_23
| ~ spl8_24
| ~ spl8_22
| ~ spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f85,f230,f234,f264,f282,f278]) ).
tff(f288,plain,
( spl8_23
| ~ spl8_24
| ~ spl8_22
| ~ spl8_19
| spl8_17 ),
inference(avatar_split_clause,[],[f86,f230,f238,f264,f282,f278]) ).
tff(f290,definition,
( spl8_25
<=> f0($false) ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
tff(f293,plain,
( spl8_23
| ~ spl8_25
| spl8_21
| spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f87,f230,f234,f258,f290,f278]) ).
tff(f294,plain,
( spl8_23
| ~ spl8_25
| spl8_21
| spl8_19
| spl8_17 ),
inference(avatar_split_clause,[],[f88,f230,f238,f258,f290,f278]) ).
tff(f295,plain,
( spl8_23
| ~ spl8_25
| spl8_22
| ~ spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f89,f230,f234,f264,f290,f278]) ).
tff(f296,plain,
( spl8_23
| ~ spl8_25
| spl8_22
| ~ spl8_19
| spl8_17 ),
inference(avatar_split_clause,[],[f90,f230,f238,f264,f290,f278]) ).
tff(f297,plain,
( ~ spl8_23
| spl8_24
| ~ spl8_21
| spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f91,f230,f234,f258,f282,f278]) ).
tff(f298,plain,
( ~ spl8_23
| spl8_24
| ~ spl8_21
| spl8_19
| spl8_17 ),
inference(avatar_split_clause,[],[f92,f230,f238,f258,f282,f278]) ).
tff(f299,plain,
( ~ spl8_23
| spl8_24
| ~ spl8_22
| ~ spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f93,f230,f234,f264,f282,f278]) ).
tff(f300,plain,
( ~ spl8_23
| spl8_24
| ~ spl8_22
| ~ spl8_19
| spl8_17 ),
inference(avatar_split_clause,[],[f94,f230,f238,f264,f282,f278]) ).
tff(f301,plain,
( ~ spl8_23
| spl8_25
| spl8_21
| spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f95,f230,f234,f258,f290,f278]) ).
tff(f302,plain,
( ~ spl8_23
| spl8_25
| spl8_21
| spl8_19
| spl8_17 ),
inference(avatar_split_clause,[],[f96,f230,f238,f258,f290,f278]) ).
tff(f303,plain,
( ~ spl8_23
| spl8_25
| spl8_22
| ~ spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f97,f230,f234,f264,f290,f278]) ).
tff(f304,plain,
( ~ spl8_23
| spl8_25
| spl8_22
| ~ spl8_19
| spl8_17 ),
inference(avatar_split_clause,[],[f98,f230,f238,f264,f290,f278]) ).
tff(f305,plain,
( ~ spl8_24
| ~ spl8_23
| ~ spl8_25
| spl8_20 ),
inference(avatar_split_clause,[],[f99,f254,f290,f278,f282]) ).
tff(f306,plain,
( ~ spl8_24
| ~ spl8_23
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f101,f254,f278,f282]) ).
tff(f307,plain,
( ~ spl8_25
| spl8_24
| ~ spl8_23
| spl8_20 ),
inference(avatar_split_clause,[],[f103,f254,f278,f282,f290]) ).
tff(f308,plain,
( spl8_24
| ~ spl8_25
| spl8_23
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f104,f254,f278,f290,f282]) ).
tff(f309,plain,
( spl8_25
| spl8_23
| spl8_20 ),
inference(avatar_split_clause,[],[f106,f254,f278,f290]) ).
tff(f310,plain,
( spl8_25
| spl8_23
| spl8_24
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f108,f254,f282,f278,f290]) ).
cnf(s1,plain,
( spl8_1
| ~ spl8_2
| ~ spl8_3 ),
inference(sat_conversion,[],[f123]) ).
cnf(s2,plain,
( spl8_1
| ~ spl8_2
| spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f128]) ).
cnf(s3,plain,
( spl8_1
| spl8_2
| spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f129]) ).
cnf(s4,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f130]) ).
cnf(s5,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f131]) ).
cnf(s6,plain,
( ~ spl8_1
| spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f132]) ).
cnf(s7,plain,
( spl8_2
| ~ spl8_3
| ~ spl8_5
| spl8_6 ),
inference(sat_conversion,[],[f141]) ).
cnf(s8,plain,
( spl8_3
| spl8_4
| ~ spl8_5
| spl8_6 ),
inference(sat_conversion,[],[f142]) ).
cnf(s9,plain,
( ~ spl8_2
| ~ spl8_3
| ~ spl8_5
| spl8_6
| spl8_7 ),
inference(sat_conversion,[],[f147]) ).
cnf(s10,plain,
( spl8_3
| ~ spl8_4
| ~ spl8_5
| spl8_6
| spl8_7 ),
inference(sat_conversion,[],[f148]) ).
cnf(s11,plain,
( ~ spl8_2
| ~ spl8_3
| ~ spl8_5
| ~ spl8_6
| spl8_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s12,plain,
( spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| spl8_7 ),
inference(sat_conversion,[],[f150]) ).
cnf(s13,plain,
( spl8_2
| ~ spl8_3
| spl8_5
| ~ spl8_6
| spl8_7 ),
inference(sat_conversion,[],[f151]) ).
cnf(s14,plain,
( spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| spl8_7 ),
inference(sat_conversion,[],[f152]) ).
cnf(s15,plain,
( spl8_2
| ~ spl8_3
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(sat_conversion,[],[f153]) ).
cnf(s16,plain,
( spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(sat_conversion,[],[f154]) ).
cnf(s17,plain,
( ~ spl8_2
| ~ spl8_3
| spl8_5
| ~ spl8_7 ),
inference(sat_conversion,[],[f155]) ).
cnf(s18,plain,
( spl8_3
| ~ spl8_4
| spl8_5
| ~ spl8_7 ),
inference(sat_conversion,[],[f156]) ).
cnf(s19,plain,
( ~ spl8_1
| spl8_7
| ~ spl8_8
| spl8_9 ),
inference(sat_conversion,[],[f165]) ).
cnf(s20,plain,
( spl8_1
| spl8_6
| ~ spl8_8
| spl8_9 ),
inference(sat_conversion,[],[f166]) ).
cnf(s21,plain,
( ~ spl8_1
| ~ spl8_7
| ~ spl8_8
| spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f171]) ).
cnf(s22,plain,
( spl8_1
| ~ spl8_6
| ~ spl8_8
| spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f172]) ).
cnf(s23,plain,
( ~ spl8_1
| ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f173]) ).
cnf(s24,plain,
( spl8_1
| ~ spl8_6
| ~ spl8_8
| ~ spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f174]) ).
cnf(s25,plain,
( ~ spl8_1
| spl8_7
| spl8_8
| ~ spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f175]) ).
cnf(s26,plain,
( spl8_1
| spl8_6
| spl8_8
| ~ spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f176]) ).
cnf(s27,plain,
( ~ spl8_1
| spl8_7
| spl8_8
| ~ spl8_9
| ~ spl8_10 ),
inference(sat_conversion,[],[f177]) ).
cnf(s28,plain,
( spl8_1
| spl8_6
| spl8_8
| ~ spl8_9
| ~ spl8_10 ),
inference(sat_conversion,[],[f178]) ).
cnf(s29,plain,
( ~ spl8_1
| ~ spl8_7
| spl8_8
| ~ spl8_10 ),
inference(sat_conversion,[],[f179]) ).
cnf(s30,plain,
( spl8_1
| ~ spl8_6
| spl8_8
| ~ spl8_10 ),
inference(sat_conversion,[],[f180]) ).
cnf(s31,plain,
( ~ spl8_5
| spl8_10
| ~ spl8_11
| spl8_12 ),
inference(sat_conversion,[],[f189]) ).
cnf(s32,plain,
( spl8_5
| spl8_9
| ~ spl8_11
| spl8_12 ),
inference(sat_conversion,[],[f190]) ).
cnf(s33,plain,
( ~ spl8_5
| ~ spl8_10
| ~ spl8_11
| spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f195]) ).
cnf(s34,plain,
( spl8_5
| ~ spl8_9
| ~ spl8_11
| spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f196]) ).
cnf(s35,plain,
( ~ spl8_5
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f197]) ).
cnf(s36,plain,
( spl8_5
| ~ spl8_9
| ~ spl8_11
| ~ spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f198]) ).
cnf(s37,plain,
( ~ spl8_5
| spl8_10
| spl8_11
| ~ spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f199]) ).
cnf(s38,plain,
( spl8_5
| spl8_9
| spl8_11
| ~ spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f200]) ).
cnf(s39,plain,
( ~ spl8_5
| spl8_10
| spl8_11
| ~ spl8_12
| ~ spl8_13 ),
inference(sat_conversion,[],[f201]) ).
cnf(s40,plain,
( spl8_5
| spl8_9
| spl8_11
| ~ spl8_12
| ~ spl8_13 ),
inference(sat_conversion,[],[f202]) ).
cnf(s41,plain,
( ~ spl8_5
| ~ spl8_10
| spl8_11
| ~ spl8_13 ),
inference(sat_conversion,[],[f203]) ).
cnf(s42,plain,
( spl8_5
| ~ spl8_9
| spl8_11
| ~ spl8_13 ),
inference(sat_conversion,[],[f204]) ).
cnf(s43,plain,
( ~ spl8_8
| spl8_13
| ~ spl8_14
| spl8_15 ),
inference(sat_conversion,[],[f213]) ).
cnf(s44,plain,
( spl8_8
| spl8_12
| ~ spl8_14
| spl8_15 ),
inference(sat_conversion,[],[f214]) ).
cnf(s45,plain,
( ~ spl8_8
| ~ spl8_13
| ~ spl8_14
| spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f219]) ).
cnf(s46,plain,
( spl8_8
| ~ spl8_12
| ~ spl8_14
| spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f220]) ).
cnf(s47,plain,
( ~ spl8_8
| ~ spl8_13
| ~ spl8_14
| ~ spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f221]) ).
cnf(s48,plain,
( spl8_8
| ~ spl8_12
| ~ spl8_14
| ~ spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f222]) ).
cnf(s49,plain,
( ~ spl8_8
| spl8_13
| spl8_14
| ~ spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f223]) ).
cnf(s50,plain,
( spl8_8
| spl8_12
| spl8_14
| ~ spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f224]) ).
cnf(s51,plain,
( ~ spl8_8
| spl8_13
| spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(sat_conversion,[],[f225]) ).
cnf(s52,plain,
( spl8_8
| spl8_12
| spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(sat_conversion,[],[f226]) ).
cnf(s53,plain,
( ~ spl8_8
| ~ spl8_13
| spl8_14
| ~ spl8_16 ),
inference(sat_conversion,[],[f227]) ).
cnf(s54,plain,
( spl8_8
| ~ spl8_12
| spl8_14
| ~ spl8_16 ),
inference(sat_conversion,[],[f228]) ).
cnf(s57,plain,
( ~ spl8_11
| ~ spl8_16
| spl8_17
| ~ spl8_18 ),
inference(sat_conversion,[],[f243]) ).
cnf(s58,plain,
( spl8_11
| ~ spl8_15
| spl8_17
| ~ spl8_18 ),
inference(sat_conversion,[],[f244]) ).
cnf(s59,plain,
( ~ spl8_11
| ~ spl8_16
| spl8_17
| spl8_18
| ~ spl8_19 ),
inference(sat_conversion,[],[f245]) ).
cnf(s60,plain,
( spl8_11
| ~ spl8_15
| spl8_17
| spl8_18
| ~ spl8_19 ),
inference(sat_conversion,[],[f246]) ).
cnf(s61,plain,
( ~ spl8_11
| spl8_16
| ~ spl8_17
| spl8_18
| ~ spl8_19 ),
inference(sat_conversion,[],[f247]) ).
cnf(s62,plain,
( spl8_11
| spl8_15
| ~ spl8_17
| spl8_18
| ~ spl8_19 ),
inference(sat_conversion,[],[f248]) ).
cnf(s63,plain,
( ~ spl8_11
| spl8_16
| ~ spl8_17
| spl8_19 ),
inference(sat_conversion,[],[f249]) ).
cnf(s64,plain,
( spl8_11
| spl8_15
| ~ spl8_17
| spl8_19 ),
inference(sat_conversion,[],[f250]) ).
cnf(s67,plain,
( ~ spl8_14
| spl8_18
| ~ spl8_20
| spl8_21 ),
inference(sat_conversion,[],[f261]) ).
cnf(s68,plain,
( spl8_14
| spl8_19
| ~ spl8_20
| spl8_21 ),
inference(sat_conversion,[],[f262]) ).
cnf(s69,plain,
( ~ spl8_14
| ~ spl8_18
| ~ spl8_20
| spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f267]) ).
cnf(s70,plain,
( spl8_14
| ~ spl8_19
| ~ spl8_20
| spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f268]) ).
cnf(s71,plain,
( ~ spl8_14
| ~ spl8_18
| ~ spl8_20
| ~ spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f269]) ).
cnf(s72,plain,
( spl8_14
| ~ spl8_19
| ~ spl8_20
| ~ spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f270]) ).
cnf(s73,plain,
( ~ spl8_14
| spl8_18
| spl8_20
| ~ spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f271]) ).
cnf(s74,plain,
( spl8_14
| spl8_19
| spl8_20
| ~ spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f272]) ).
cnf(s75,plain,
( ~ spl8_14
| spl8_18
| spl8_20
| ~ spl8_21
| ~ spl8_22 ),
inference(sat_conversion,[],[f273]) ).
cnf(s76,plain,
( spl8_14
| spl8_19
| spl8_20
| ~ spl8_21
| ~ spl8_22 ),
inference(sat_conversion,[],[f274]) ).
cnf(s77,plain,
( ~ spl8_14
| ~ spl8_18
| spl8_20
| ~ spl8_22 ),
inference(sat_conversion,[],[f275]) ).
cnf(s78,plain,
( spl8_14
| ~ spl8_19
| spl8_20
| ~ spl8_22 ),
inference(sat_conversion,[],[f276]) ).
cnf(s79,plain,
( ~ spl8_17
| spl8_18
| ~ spl8_21
| spl8_23
| ~ spl8_24 ),
inference(sat_conversion,[],[f285]) ).
cnf(s80,plain,
( spl8_17
| spl8_19
| ~ spl8_21
| spl8_23
| ~ spl8_24 ),
inference(sat_conversion,[],[f286]) ).
cnf(s81,plain,
( ~ spl8_17
| ~ spl8_18
| ~ spl8_22
| spl8_23
| ~ spl8_24 ),
inference(sat_conversion,[],[f287]) ).
cnf(s82,plain,
( spl8_17
| ~ spl8_19
| ~ spl8_22
| spl8_23
| ~ spl8_24 ),
inference(sat_conversion,[],[f288]) ).
cnf(s83,plain,
( ~ spl8_17
| spl8_18
| spl8_21
| spl8_23
| ~ spl8_25 ),
inference(sat_conversion,[],[f293]) ).
cnf(s84,plain,
( spl8_17
| spl8_19
| spl8_21
| spl8_23
| ~ spl8_25 ),
inference(sat_conversion,[],[f294]) ).
cnf(s85,plain,
( ~ spl8_17
| ~ spl8_18
| spl8_22
| spl8_23
| ~ spl8_25 ),
inference(sat_conversion,[],[f295]) ).
cnf(s86,plain,
( spl8_17
| ~ spl8_19
| spl8_22
| spl8_23
| ~ spl8_25 ),
inference(sat_conversion,[],[f296]) ).
cnf(s87,plain,
( ~ spl8_17
| spl8_18
| ~ spl8_21
| ~ spl8_23
| spl8_24 ),
inference(sat_conversion,[],[f297]) ).
cnf(s88,plain,
( spl8_17
| spl8_19
| ~ spl8_21
| ~ spl8_23
| spl8_24 ),
inference(sat_conversion,[],[f298]) ).
cnf(s89,plain,
( ~ spl8_17
| ~ spl8_18
| ~ spl8_22
| ~ spl8_23
| spl8_24 ),
inference(sat_conversion,[],[f299]) ).
cnf(s90,plain,
( spl8_17
| ~ spl8_19
| ~ spl8_22
| ~ spl8_23
| spl8_24 ),
inference(sat_conversion,[],[f300]) ).
cnf(s91,plain,
( ~ spl8_17
| spl8_18
| spl8_21
| ~ spl8_23
| spl8_25 ),
inference(sat_conversion,[],[f301]) ).
cnf(s92,plain,
( spl8_17
| spl8_19
| spl8_21
| ~ spl8_23
| spl8_25 ),
inference(sat_conversion,[],[f302]) ).
cnf(s93,plain,
( ~ spl8_17
| ~ spl8_18
| spl8_22
| ~ spl8_23
| spl8_25 ),
inference(sat_conversion,[],[f303]) ).
cnf(s94,plain,
( spl8_17
| ~ spl8_19
| spl8_22
| ~ spl8_23
| spl8_25 ),
inference(sat_conversion,[],[f304]) ).
cnf(s95,plain,
( spl8_20
| ~ spl8_23
| ~ spl8_24
| ~ spl8_25 ),
inference(sat_conversion,[],[f305]) ).
cnf(s96,plain,
( ~ spl8_20
| ~ spl8_23
| ~ spl8_24 ),
inference(sat_conversion,[],[f306]) ).
cnf(s97,plain,
( spl8_20
| ~ spl8_23
| spl8_24
| ~ spl8_25 ),
inference(sat_conversion,[],[f307]) ).
cnf(s98,plain,
( ~ spl8_20
| spl8_23
| spl8_24
| ~ spl8_25 ),
inference(sat_conversion,[],[f308]) ).
cnf(s99,plain,
( spl8_20
| spl8_23
| spl8_25 ),
inference(sat_conversion,[],[f309]) ).
cnf(s100,plain,
( ~ spl8_20
| spl8_23
| spl8_24
| spl8_25 ),
inference(sat_conversion,[],[f310]) ).
cnf(s101,plain,
( spl8_23
| spl8_21
| spl8_20
| spl8_19
| spl8_17 ),
inference(rat,[],[s84,s99]) ).
cnf(s102,plain,
( ~ spl8_25
| ~ spl8_23
| spl8_20 ),
inference(rat,[],[s95,s97]) ).
cnf(s103,plain,
( spl8_21
| spl8_20
| spl8_17
| spl8_19 ),
inference(rat,[],[s102,s92,s101]) ).
cnf(s104,plain,
( ~ spl8_21
| spl8_20
| spl8_14
| spl8_19 ),
inference(rat,[],[s74,s76]) ).
cnf(s105,plain,
( spl8_20
| spl8_19
| spl8_17
| spl8_14 ),
inference(rat,[],[s104,s103]) ).
cnf(s106,plain,
( spl8_24
| spl8_23
| ~ spl8_20 ),
inference(rat,[],[s98,s100]) ).
cnf(s107,plain,
( spl8_23
| ~ spl8_21
| ~ spl8_20
| spl8_19
| spl8_17 ),
inference(rat,[],[s106,s80]) ).
cnf(s108,plain,
( ~ spl8_21
| ~ spl8_20
| spl8_17
| spl8_19 ),
inference(rat,[],[s96,s88,s107]) ).
cnf(s109,plain,
( spl8_19
| spl8_17
| spl8_14 ),
inference(rat,[],[s108,s68,s105]) ).
cnf(s110,plain,
( spl8_23
| spl8_22
| spl8_20
| ~ spl8_19
| spl8_17 ),
inference(rat,[],[s86,s99]) ).
cnf(s111,plain,
( spl8_22
| spl8_20
| spl8_17
| ~ spl8_19 ),
inference(rat,[],[s94,s102,s110]) ).
cnf(s112,plain,
( spl8_20
| spl8_17
| spl8_14 ),
inference(rat,[],[s111,s78,s109]) ).
cnf(s113,plain,
( spl8_22
| ~ spl8_20
| spl8_14
| ~ spl8_19 ),
inference(rat,[],[s70,s72]) ).
cnf(s114,plain,
( spl8_23
| ~ spl8_22
| ~ spl8_20
| ~ spl8_19
| spl8_17 ),
inference(rat,[],[s82,s106]) ).
cnf(s115,plain,
( ~ spl8_22
| spl8_17
| ~ spl8_20
| ~ spl8_19 ),
inference(rat,[],[s90,s96,s114]) ).
cnf(s116,plain,
( spl8_17
| spl8_14 ),
inference(rat,[],[s115,s113,s112,s109]) ).
cnf(s117,plain,
( spl8_23
| spl8_22
| spl8_20
| ~ spl8_18
| ~ spl8_17 ),
inference(rat,[],[s85,s99]) ).
cnf(s118,plain,
( spl8_22
| spl8_20
| ~ spl8_17
| ~ spl8_18 ),
inference(rat,[],[s93,s102,s117]) ).
cnf(s119,plain,
( spl8_20
| ~ spl8_18
| ~ spl8_19
| spl8_14 ),
inference(rat,[],[s118,s78,s116]) ).
cnf(s120,plain,
( spl8_23
| ~ spl8_22
| ~ spl8_20
| ~ spl8_18
| ~ spl8_17 ),
inference(rat,[],[s106,s81]) ).
cnf(s121,plain,
( ~ spl8_22
| ~ spl8_20
| ~ spl8_17
| ~ spl8_18 ),
inference(rat,[],[s89,s96,s120]) ).
cnf(s122,plain,
( spl8_15
| spl8_14
| spl8_11 ),
inference(rat,[],[s121,s113,s119,s62,s64,s116]) ).
cnf(s123,plain,
( ~ spl8_15
| spl8_14
| spl8_8
| spl8_12 ),
inference(rat,[],[s50,s52]) ).
cnf(s124,plain,
( spl8_14
| spl8_12
| spl8_11
| spl8_8 ),
inference(rat,[],[s123,s122]) ).
cnf(s125,plain,
( ~ spl8_21
| spl8_18
| ~ spl8_14
| spl8_20 ),
inference(rat,[],[s73,s75]) ).
cnf(s126,plain,
( spl8_17
| spl8_20
| ~ spl8_15
| ~ spl8_14
| spl8_11 ),
inference(rat,[],[s125,s103,s60,s58]) ).
cnf(s127,plain,
( ~ spl8_18
| ~ spl8_17
| spl8_20
| ~ spl8_14 ),
inference(rat,[],[s118,s77]) ).
cnf(s128,plain,
( spl8_23
| spl8_21
| spl8_18
| ~ spl8_17
| spl8_20 ),
inference(rat,[],[s83,s99]) ).
cnf(s129,plain,
( spl8_21
| spl8_20
| spl8_18
| ~ spl8_17 ),
inference(rat,[],[s91,s102,s128]) ).
cnf(s130,plain,
( ~ spl8_17
| spl8_20
| ~ spl8_14 ),
inference(rat,[],[s129,s125,s127]) ).
cnf(s131,plain,
( spl8_20
| ~ spl8_15
| spl8_11
| ~ spl8_14 ),
inference(rat,[],[s130,s126]) ).
cnf(s132,plain,
( spl8_17
| ~ spl8_15
| ~ spl8_14
| spl8_11 ),
inference(rat,[],[s108,s60,s67,s58,s131]) ).
cnf(s133,plain,
( spl8_22
| ~ spl8_18
| ~ spl8_14
| ~ spl8_20 ),
inference(rat,[],[s69,s71]) ).
cnf(s134,plain,
( ~ spl8_18
| ~ spl8_17
| ~ spl8_20
| ~ spl8_14 ),
inference(rat,[],[s133,s121]) ).
cnf(s135,plain,
( spl8_23
| ~ spl8_21
| spl8_18
| ~ spl8_17
| ~ spl8_20 ),
inference(rat,[],[s79,s106]) ).
cnf(s136,plain,
( ~ spl8_21
| ~ spl8_20
| spl8_18
| ~ spl8_17 ),
inference(rat,[],[s87,s96,s135]) ).
cnf(s137,plain,
( ~ spl8_17
| ~ spl8_14
| ~ spl8_20 ),
inference(rat,[],[s136,s67,s134]) ).
cnf(s138,plain,
( ~ spl8_15
| ~ spl8_14
| spl8_11 ),
inference(rat,[],[s137,s132,s131]) ).
cnf(s139,plain,
( spl8_12
| spl8_11
| spl8_8 ),
inference(rat,[],[s138,s44,s124]) ).
cnf(s140,plain,
( ~ spl8_12
| spl8_11
| spl8_5
| spl8_9 ),
inference(rat,[],[s38,s40]) ).
cnf(s141,plain,
( spl8_11
| spl8_9
| spl8_8
| spl8_5 ),
inference(rat,[],[s140,s139]) ).
cnf(s142,plain,
( spl8_14
| spl8_20
| ~ spl8_12
| ~ spl8_11
| spl8_8 ),
inference(rat,[],[s119,s61,s63,s116,s54]) ).
cnf(s143,plain,
( spl8_16
| ~ spl8_14
| spl8_8
| ~ spl8_12 ),
inference(rat,[],[s46,s48]) ).
cnf(s144,plain,
( spl8_20
| ~ spl8_12
| spl8_8
| ~ spl8_11 ),
inference(rat,[],[s103,s125,s59,s57,s143,s130,s142]) ).
cnf(s145,plain,
( spl8_14
| ~ spl8_12
| ~ spl8_11
| spl8_8 ),
inference(rat,[],[s121,s113,s61,s63,s116,s54,s144]) ).
cnf(s146,plain,
( ~ spl8_12
| ~ spl8_11
| spl8_8 ),
inference(rat,[],[s108,s67,s59,s57,s143,s137,s145,s144]) ).
cnf(s147,plain,
( spl8_9
| spl8_8
| spl8_5 ),
inference(rat,[],[s146,s32,s141]) ).
cnf(s148,plain,
( ~ spl8_9
| spl8_8
| spl8_1
| spl8_6 ),
inference(rat,[],[s26,s28]) ).
cnf(s149,plain,
( spl8_8
| spl8_6
| spl8_5
| spl8_1 ),
inference(rat,[],[s148,s147]) ).
cnf(s150,plain,
( ~ spl8_15
| spl8_13
| ~ spl8_8
| spl8_14 ),
inference(rat,[],[s49,s51]) ).
cnf(s151,plain,
( spl8_11
| spl8_14
| ~ spl8_9
| ~ spl8_8
| spl8_5 ),
inference(rat,[],[s150,s122,s42]) ).
cnf(s152,plain,
( spl8_16
| ~ spl8_11
| spl8_14
| spl8_20 ),
inference(rat,[],[s119,s61,s63,s116]) ).
cnf(s153,plain,
( spl8_13
| ~ spl8_11
| spl8_5
| ~ spl8_9 ),
inference(rat,[],[s34,s36]) ).
cnf(s154,plain,
( spl8_14
| spl8_20
| ~ spl8_9
| ~ spl8_8
| spl8_5 ),
inference(rat,[],[s153,s53,s152,s151]) ).
cnf(s155,plain,
( spl8_11
| ~ spl8_14
| ~ spl8_9
| ~ spl8_8
| spl8_5 ),
inference(rat,[],[s43,s138,s42]) ).
cnf(s156,plain,
( spl8_16
| ~ spl8_14
| ~ spl8_8
| ~ spl8_13 ),
inference(rat,[],[s45,s47]) ).
cnf(s157,plain,
( spl8_20
| ~ spl8_9
| spl8_5
| ~ spl8_8 ),
inference(rat,[],[s103,s125,s59,s57,s156,s153,s155,s130,s154]) ).
cnf(s158,plain,
( spl8_14
| ~ spl8_9
| ~ spl8_8
| spl8_5 ),
inference(rat,[],[s121,s113,s61,s63,s53,s153,s151,s116,s157]) ).
cnf(s159,plain,
( ~ spl8_9
| ~ spl8_8
| spl8_5 ),
inference(rat,[],[s108,s67,s59,s57,s156,s153,s155,s137,s158,s157]) ).
cnf(s160,plain,
( spl8_6
| spl8_5
| spl8_1 ),
inference(rat,[],[s159,s20,s149]) ).
cnf(s161,plain,
( ~ spl8_6
| spl8_5
| spl8_3
| spl8_4 ),
inference(rat,[],[s14,s16]) ).
cnf(s162,plain,
( spl8_5
| spl8_4
| spl8_3
| spl8_1 ),
inference(rat,[],[s161,s160]) ).
cnf(s163,plain,
( ~ spl8_12
| spl8_11
| ~ spl8_5
| spl8_10 ),
inference(rat,[],[s37,s39]) ).
cnf(s164,plain,
( spl8_11
| spl8_10
| spl8_8
| ~ spl8_5 ),
inference(rat,[],[s163,s139]) ).
cnf(s165,plain,
( spl8_10
| spl8_8
| ~ spl8_5 ),
inference(rat,[],[s146,s31,s164]) ).
cnf(s166,plain,
( spl8_8
| ~ spl8_6
| ~ spl8_5
| spl8_1 ),
inference(rat,[],[s165,s30]) ).
cnf(s167,plain,
( spl8_10
| ~ spl8_8
| spl8_1
| ~ spl8_6 ),
inference(rat,[],[s22,s24]) ).
cnf(s168,plain,
( spl8_14
| spl8_13
| spl8_11
| ~ spl8_8 ),
inference(rat,[],[s150,s122]) ).
cnf(s169,plain,
( spl8_13
| spl8_11
| ~ spl8_8 ),
inference(rat,[],[s43,s138,s168]) ).
cnf(s170,plain,
( spl8_11
| ~ spl8_10
| ~ spl8_8
| ~ spl8_5 ),
inference(rat,[],[s169,s41]) ).
cnf(s171,plain,
( spl8_13
| ~ spl8_11
| ~ spl8_5
| ~ spl8_10 ),
inference(rat,[],[s33,s35]) ).
cnf(s172,plain,
( spl8_14
| ~ spl8_13
| ~ spl8_11
| ~ spl8_8 ),
inference(rat,[],[s121,s113,s152,s61,s63,s53,s116]) ).
cnf(s173,plain,
( spl8_20
| ~ spl8_16
| ~ spl8_14
| ~ spl8_11 ),
inference(rat,[],[s103,s125,s59,s57,s130]) ).
cnf(s174,plain,
( ~ spl8_16
| ~ spl8_11
| ~ spl8_14 ),
inference(rat,[],[s108,s67,s59,s57,s137,s173]) ).
cnf(s175,plain,
( ~ spl8_13
| ~ spl8_8
| ~ spl8_11 ),
inference(rat,[],[s174,s156,s172]) ).
cnf(s176,plain,
( ~ spl8_10
| ~ spl8_5
| ~ spl8_8 ),
inference(rat,[],[s175,s171,s170]) ).
cnf(s177,plain,
( ~ spl8_6
| ~ spl8_5
| spl8_1 ),
inference(rat,[],[s176,s167,s166]) ).
cnf(s178,plain,
( spl8_4
| spl8_3
| spl8_1 ),
inference(rat,[],[s177,s8,s162]) ).
cnf(s179,plain,
( spl8_3
| spl8_2
| spl8_1 ),
inference(rat,[],[s178,s3]) ).
cnf(s180,plain,
( ~ spl8_6
| spl8_5
| spl8_2
| ~ spl8_3 ),
inference(rat,[],[s13,s15]) ).
cnf(s181,plain,
( spl8_5
| spl8_2
| spl8_1 ),
inference(rat,[],[s180,s160,s179]) ).
cnf(s182,plain,
( spl8_2
| spl8_1 ),
inference(rat,[],[s177,s7,s181,s179]) ).
cnf(s183,plain,
( spl8_3
| ~ spl8_2
| spl8_1 ),
inference(rat,[],[s178,s2]) ).
cnf(s184,plain,
( ~ spl8_2
| spl8_1 ),
inference(rat,[],[s183,s1]) ).
cnf(s185,plain,
spl8_1,
inference(rat,[],[s184,s182]) ).
cnf(s186,plain,
( spl8_7
| ~ spl8_9
| spl8_8 ),
inference(rat,[],[s25,s27,s185]) ).
cnf(s187,plain,
( spl8_3
| ~ spl8_7
| spl8_5 ),
inference(rat,[],[s18,s6,s185]) ).
cnf(s188,plain,
( spl8_2
| ~ spl8_3 ),
inference(rat,[],[s4,s5,s185]) ).
cnf(s189,plain,
( ~ spl8_3
| ~ spl8_7
| spl8_5 ),
inference(rat,[],[s188,s17]) ).
cnf(s190,plain,
( ~ spl8_7
| spl8_5 ),
inference(rat,[],[s189,s187]) ).
cnf(s191,plain,
( spl8_8
| spl8_5 ),
inference(rat,[],[s186,s147,s190]) ).
cnf(s192,plain,
spl8_5,
inference(rat,[],[s159,s19,s191,s190,s185]) ).
cnf(s193,plain,
( spl8_7
| ~ spl8_4
| spl8_3 ),
inference(rat,[],[s10,s12,s192]) ).
cnf(s194,plain,
( spl8_8
| ~ spl8_7 ),
inference(rat,[],[s29,s165,s185,s192]) ).
cnf(s195,plain,
( spl8_10
| ~ spl8_7
| ~ spl8_8 ),
inference(rat,[],[s21,s23,s185]) ).
cnf(s196,plain,
~ spl8_7,
inference(rat,[],[s195,s176,s194,s192]) ).
cnf(s197,plain,
spl8_3,
inference(rat,[],[s193,s6,s196,s185]) ).
cnf(s198,plain,
spl8_2,
inference(rat,[],[s188,s197]) ).
cnf(s199,plain,
~ spl8_6,
inference(rat,[],[s11,s192,s197,s196,s198]) ).
cnf(s200,plain,
$false,
inference(rat,[],[s9,s192,s197,s196,s198,s199]) ).
tff(f311,plain,
$false,
inference(avatar_sat_refutation,[],[s200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500_8.008 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 17:46:48 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.20/0.27 % (36415)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (36424)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4118871448:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (36421)% WARNING: option uhcvi not known.
% 0.20/0.27 % (36424) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-36415-36424"...
% 0.20/0.27 % (36424)...printing done.
% 0.20/0.27 % (36423)dis+10_1_sil=32000:sp=arity:random_seed=2722601782:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (36420)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2889944116_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (36422)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4121017905:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (36421)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3333659132:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (36424)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (36424)------------------------------
% 0.20/0.27 % (36424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (36424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (36424)CaDiCaL version: 2.1.3
% 0.20/0.27 % (36424)Termination reason: Refutation
% 0.20/0.27 % (36424)Time elapsed: 0.006 s
% 0.20/0.27 % (36424)Peak memory usage: 12 MB
% 0.20/0.27 % (36424)Instructions burned: 16 (million)
% 0.20/0.27 % (36415)Success in time 0.044 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------