%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO500_8.006 : 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 : n009.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 02:31:20 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 20
% Syntax : Number of formulae : 312 ( 10 unt; 0 typ; 19 def)
% Number of atoms : 1563 ( 2 equ)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 1544 ( 589 ~; 934 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 296 ( 296 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 35 ( 32 usr; 28 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 > $o ).
tff(f1,conjecture,
f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(x)))))))))))) = f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(x)))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski6) ).
tff(f2,negated_conjecture,
f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(x)))))))))))) != f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(x)))))))))))),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(x))))))))))))
<=> f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(x)))))))))))) ),
inference(flattening,[],[f2]) ).
tff(f4,plain,
( f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(x))))))))))))
<~> f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(x)))))))))))) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ~ x
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
( x
| ~ f5($false)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( x
| f5($true)
| ~ f5($false)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
( ~ x
| ~ f5($false)
| f5($true)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f9,plain,
( ~ x
| f5($true)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f10,plain,
( x
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
( ~ x
| f5($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f12,plain,
( x
| f5($false)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f13,plain,
( ~ x
| ~ f5($true)
| f4($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f14,plain,
( x
| ~ f5($false)
| f4($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f15,plain,
( ~ x
| ~ f5($true)
| ~ f4($false)
| f4($true)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f16,plain,
( x
| ~ f5($false)
| ~ f4($false)
| f4($true)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f17,plain,
( ~ x
| f5($true)
| f4($true)
| ~ f4($false)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f18,plain,
( x
| f5($false)
| f4($true)
| ~ f4($false)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f19,plain,
( ~ x
| f5($true)
| ~ f4($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f20,plain,
( x
| f5($false)
| ~ f4($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f21,plain,
( ~ x
| ~ f5($true)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f22,plain,
( x
| ~ f5($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f23,plain,
( ~ sP5
| f4($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f24,plain,
( sP5
| f4($false)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f25,plain,
( ~ sP5
| ~ f4($true)
| f3($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f26,plain,
( sP5
| ~ f4($false)
| f3($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f27,plain,
( ~ sP5
| ~ f4($true)
| ~ f3($false)
| f3($true)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f28,plain,
( sP5
| ~ f4($false)
| ~ f3($false)
| f3($true)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f29,plain,
( ~ sP5
| f4($true)
| f3($true)
| ~ f3($false)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f30,plain,
( sP5
| f4($false)
| f3($true)
| ~ f3($false)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f31,plain,
( ~ sP5
| f4($true)
| ~ f3($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f32,plain,
( sP5
| f4($false)
| ~ f3($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f33,plain,
( ~ sP5
| ~ f4($true)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f34,plain,
( sP5
| ~ f4($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f37,plain,
( ~ sP4
| ~ f3($true)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f38,plain,
( sP4
| ~ f3($false)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f39,plain,
( ~ sP4
| ~ f3($true)
| f2($true)
| ~ f2($false)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f40,plain,
( sP4
| ~ f3($false)
| f2($true)
| ~ f2($false)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f41,plain,
( ~ sP4
| f3($true)
| ~ f2($false)
| f2($true)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f42,plain,
( sP4
| f3($false)
| ~ f2($false)
| f2($true)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f43,plain,
( ~ sP4
| f3($true)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f44,plain,
( sP4
| f3($false)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f47,plain,
( ~ sP3
| f2($true)
| f1($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f48,plain,
( sP3
| f2($false)
| f1($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f49,plain,
( ~ sP3
| ~ f2($true)
| f1($true)
| f1($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f50,plain,
( sP3
| ~ f2($false)
| f1($true)
| f1($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f51,plain,
( ~ sP3
| ~ f2($true)
| ~ f1($false)
| f1($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f52,plain,
( sP3
| ~ f2($false)
| ~ f1($false)
| f1($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f53,plain,
( ~ sP3
| f2($true)
| f1($true)
| ~ f1($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f54,plain,
( sP3
| f2($false)
| f1($true)
| ~ f1($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f55,plain,
( ~ sP3
| f2($true)
| ~ f1($false)
| ~ f1($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f56,plain,
( sP3
| f2($false)
| ~ f1($false)
| ~ f1($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f57,plain,
( ~ sP3
| ~ f2($true)
| ~ f1($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f58,plain,
( sP3
| ~ f2($false)
| ~ f1($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f59,plain,
( ~ sP2
| f2($true)
| ~ f1($false)
| ~ f0($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f60,plain,
( sP2
| f2($false)
| ~ f1($false)
| ~ f0($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f61,plain,
( ~ sP2
| ~ f2($true)
| ~ f1($true)
| ~ f0($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f62,plain,
( sP2
| ~ f2($false)
| ~ f1($true)
| ~ f0($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f63,plain,
( ~ sP2
| f2($true)
| f1($false)
| ~ f0($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f64,plain,
( sP2
| f2($false)
| f1($false)
| ~ f0($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f65,plain,
( ~ sP2
| ~ f2($true)
| f1($true)
| ~ f0($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f66,plain,
( sP2
| ~ f2($false)
| f1($true)
| ~ f0($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f67,plain,
( ~ sP2
| f2($true)
| ~ f1($false)
| f0($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f68,plain,
( sP2
| f2($false)
| ~ f1($false)
| f0($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f69,plain,
( ~ sP2
| ~ f2($true)
| ~ f1($true)
| f0($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f70,plain,
( sP2
| ~ f2($false)
| ~ f1($true)
| f0($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f71,plain,
( ~ sP2
| f2($true)
| f1($false)
| f0($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f72,plain,
( sP2
| f2($false)
| f1($false)
| f0($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f73,plain,
( ~ sP2
| ~ f2($true)
| f1($true)
| f0($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f74,plain,
( sP2
| ~ f2($false)
| f1($true)
| f0($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f75,plain,
( sP0
| ~ f0($false)
| ~ sP1
| ~ f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f77,plain,
( ~ sP0
| ~ sP1
| ~ f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f79,plain,
( sP0
| ~ sP1
| f0($true)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f80,plain,
( ~ sP0
| sP1
| ~ f0($false)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f82,plain,
( sP0
| sP1
| f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f84,plain,
( ~ sP0
| f0($true)
| sP1
| f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f88,definition,
( spl6_1
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
tff(f92,definition,
( spl6_2
<=> f5($true) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
tff(f96,definition,
( spl6_3
<=> x ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
tff(f99,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f5,f96,f92,f88]) ).
tff(f101,definition,
( spl6_4
<=> f5($false) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
tff(f104,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f6,f96,f101,f92,f88]) ).
tff(f105,plain,
( spl6_1
| ~ spl6_4
| spl6_2
| spl6_3 ),
inference(avatar_split_clause,[],[f7,f96,f92,f101,f88]) ).
tff(f106,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_4
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f8,f96,f101,f92,f88]) ).
tff(f107,plain,
( ~ spl6_1
| spl6_4
| spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f9,f96,f92,f101,f88]) ).
tff(f108,plain,
( ~ spl6_1
| spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f10,f96,f101,f88]) ).
tff(f110,definition,
( spl6_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
tff(f114,definition,
( spl6_6
<=> f4($false) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
tff(f117,plain,
( ~ spl6_5
| spl6_6
| spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f11,f96,f92,f114,f110]) ).
tff(f118,plain,
( ~ spl6_5
| spl6_6
| spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f12,f96,f101,f114,f110]) ).
tff(f120,definition,
( spl6_7
<=> f4($true) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
tff(f123,plain,
( ~ spl6_5
| spl6_6
| spl6_7
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f13,f96,f92,f120,f114,f110]) ).
tff(f124,plain,
( ~ spl6_5
| spl6_6
| spl6_7
| ~ spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f14,f96,f101,f120,f114,f110]) ).
tff(f125,plain,
( ~ spl6_5
| spl6_7
| ~ spl6_6
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f15,f96,f92,f114,f120,f110]) ).
tff(f126,plain,
( ~ spl6_5
| spl6_7
| ~ spl6_6
| ~ spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f16,f96,f101,f114,f120,f110]) ).
tff(f127,plain,
( spl6_5
| ~ spl6_6
| spl6_7
| spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f17,f96,f92,f120,f114,f110]) ).
tff(f128,plain,
( spl6_5
| ~ spl6_6
| spl6_7
| spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f18,f96,f101,f120,f114,f110]) ).
tff(f129,plain,
( spl6_5
| ~ spl6_7
| ~ spl6_6
| spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f19,f96,f92,f114,f120,f110]) ).
tff(f130,plain,
( spl6_5
| ~ spl6_7
| ~ spl6_6
| spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f20,f96,f101,f114,f120,f110]) ).
tff(f131,plain,
( spl6_5
| ~ spl6_7
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f21,f96,f92,f120,f110]) ).
tff(f132,plain,
( spl6_5
| ~ spl6_7
| ~ spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f22,f96,f101,f120,f110]) ).
tff(f134,definition,
( spl6_8
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
tff(f138,definition,
( spl6_9
<=> f3($false) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
tff(f141,plain,
( ~ spl6_8
| spl6_9
| spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f23,f88,f120,f138,f134]) ).
tff(f142,plain,
( ~ spl6_8
| spl6_9
| spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f24,f88,f114,f138,f134]) ).
tff(f144,definition,
( spl6_10
<=> f3($true) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
tff(f147,plain,
( ~ spl6_8
| spl6_9
| spl6_10
| ~ spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f25,f88,f120,f144,f138,f134]) ).
tff(f148,plain,
( ~ spl6_8
| spl6_9
| spl6_10
| ~ spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f26,f88,f114,f144,f138,f134]) ).
tff(f149,plain,
( ~ spl6_8
| spl6_10
| ~ spl6_9
| ~ spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f27,f88,f120,f138,f144,f134]) ).
tff(f150,plain,
( ~ spl6_8
| spl6_10
| ~ spl6_9
| ~ spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f28,f88,f114,f138,f144,f134]) ).
tff(f151,plain,
( spl6_8
| ~ spl6_9
| spl6_10
| spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f29,f88,f120,f144,f138,f134]) ).
tff(f152,plain,
( spl6_8
| ~ spl6_9
| spl6_10
| spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f30,f88,f114,f144,f138,f134]) ).
tff(f153,plain,
( spl6_8
| ~ spl6_10
| ~ spl6_9
| spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f31,f88,f120,f138,f144,f134]) ).
tff(f154,plain,
( spl6_8
| ~ spl6_10
| ~ spl6_9
| spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f32,f88,f114,f138,f144,f134]) ).
tff(f155,plain,
( spl6_8
| ~ spl6_10
| ~ spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f33,f88,f120,f144,f134]) ).
tff(f156,plain,
( spl6_8
| ~ spl6_10
| ~ spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f34,f88,f114,f144,f134]) ).
tff(f158,definition,
( spl6_11
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
tff(f162,definition,
( spl6_12
<=> f2($true) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
tff(f166,definition,
( spl6_13
<=> f2($false) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
tff(f171,plain,
( spl6_11
| ~ spl6_12
| ~ spl6_10
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f37,f110,f144,f162,f158]) ).
tff(f172,plain,
( spl6_11
| ~ spl6_12
| ~ spl6_9
| spl6_5 ),
inference(avatar_split_clause,[],[f38,f110,f138,f162,f158]) ).
tff(f173,plain,
( spl6_11
| ~ spl6_13
| spl6_12
| ~ spl6_10
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f39,f110,f144,f162,f166,f158]) ).
tff(f174,plain,
( spl6_11
| ~ spl6_13
| spl6_12
| ~ spl6_9
| spl6_5 ),
inference(avatar_split_clause,[],[f40,f110,f138,f162,f166,f158]) ).
tff(f175,plain,
( ~ spl6_11
| spl6_12
| ~ spl6_13
| spl6_10
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f41,f110,f144,f166,f162,f158]) ).
tff(f176,plain,
( ~ spl6_11
| spl6_12
| ~ spl6_13
| spl6_9
| spl6_5 ),
inference(avatar_split_clause,[],[f42,f110,f138,f166,f162,f158]) ).
tff(f177,plain,
( ~ spl6_11
| spl6_13
| spl6_10
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f43,f110,f144,f166,f158]) ).
tff(f178,plain,
( ~ spl6_11
| spl6_13
| spl6_9
| spl6_5 ),
inference(avatar_split_clause,[],[f44,f110,f138,f166,f158]) ).
tff(f182,definition,
( spl6_14
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
tff(f186,definition,
( spl6_15
<=> f1($false) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
tff(f189,plain,
( ~ spl6_14
| spl6_15
| spl6_12
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f47,f134,f162,f186,f182]) ).
tff(f190,plain,
( ~ spl6_14
| spl6_15
| spl6_13
| spl6_8 ),
inference(avatar_split_clause,[],[f48,f134,f166,f186,f182]) ).
tff(f192,definition,
( spl6_16
<=> f1($true) ),
introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).
tff(f195,plain,
( ~ spl6_14
| spl6_15
| spl6_16
| ~ spl6_12
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f49,f134,f162,f192,f186,f182]) ).
tff(f196,plain,
( ~ spl6_14
| spl6_15
| spl6_16
| ~ spl6_13
| spl6_8 ),
inference(avatar_split_clause,[],[f50,f134,f166,f192,f186,f182]) ).
tff(f197,plain,
( ~ spl6_14
| spl6_16
| ~ spl6_15
| ~ spl6_12
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f51,f134,f162,f186,f192,f182]) ).
tff(f198,plain,
( ~ spl6_14
| spl6_16
| ~ spl6_15
| ~ spl6_13
| spl6_8 ),
inference(avatar_split_clause,[],[f52,f134,f166,f186,f192,f182]) ).
tff(f199,plain,
( spl6_14
| ~ spl6_15
| spl6_16
| spl6_12
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f53,f134,f162,f192,f186,f182]) ).
tff(f200,plain,
( spl6_14
| ~ spl6_15
| spl6_16
| spl6_13
| spl6_8 ),
inference(avatar_split_clause,[],[f54,f134,f166,f192,f186,f182]) ).
tff(f201,plain,
( spl6_14
| ~ spl6_16
| ~ spl6_15
| spl6_12
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f55,f134,f162,f186,f192,f182]) ).
tff(f202,plain,
( spl6_14
| ~ spl6_16
| ~ spl6_15
| spl6_13
| spl6_8 ),
inference(avatar_split_clause,[],[f56,f134,f166,f186,f192,f182]) ).
tff(f203,plain,
( spl6_14
| ~ spl6_16
| ~ spl6_12
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f57,f134,f162,f192,f182]) ).
tff(f204,plain,
( spl6_14
| ~ spl6_16
| ~ spl6_13
| spl6_8 ),
inference(avatar_split_clause,[],[f58,f134,f166,f192,f182]) ).
tff(f206,definition,
( spl6_17
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
tff(f210,definition,
( spl6_18
<=> f0($true) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
tff(f213,plain,
( spl6_17
| ~ spl6_18
| ~ spl6_15
| spl6_12
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f59,f158,f162,f186,f210,f206]) ).
tff(f214,plain,
( spl6_17
| ~ spl6_18
| ~ spl6_15
| spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f60,f158,f166,f186,f210,f206]) ).
tff(f215,plain,
( spl6_17
| ~ spl6_18
| ~ spl6_16
| ~ spl6_12
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f61,f158,f162,f192,f210,f206]) ).
tff(f216,plain,
( spl6_17
| ~ spl6_18
| ~ spl6_16
| ~ spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f62,f158,f166,f192,f210,f206]) ).
tff(f218,definition,
( spl6_19
<=> f0($false) ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
tff(f221,plain,
( spl6_17
| ~ spl6_19
| spl6_15
| spl6_12
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f63,f158,f162,f186,f218,f206]) ).
tff(f222,plain,
( spl6_17
| ~ spl6_19
| spl6_15
| spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f64,f158,f166,f186,f218,f206]) ).
tff(f223,plain,
( spl6_17
| ~ spl6_19
| spl6_16
| ~ spl6_12
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f65,f158,f162,f192,f218,f206]) ).
tff(f224,plain,
( spl6_17
| ~ spl6_19
| spl6_16
| ~ spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f66,f158,f166,f192,f218,f206]) ).
tff(f225,plain,
( ~ spl6_17
| spl6_18
| ~ spl6_15
| spl6_12
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f67,f158,f162,f186,f210,f206]) ).
tff(f226,plain,
( ~ spl6_17
| spl6_18
| ~ spl6_15
| spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f68,f158,f166,f186,f210,f206]) ).
tff(f227,plain,
( ~ spl6_17
| spl6_18
| ~ spl6_16
| ~ spl6_12
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f69,f158,f162,f192,f210,f206]) ).
tff(f228,plain,
( ~ spl6_17
| spl6_18
| ~ spl6_16
| ~ spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f70,f158,f166,f192,f210,f206]) ).
tff(f229,plain,
( ~ spl6_17
| spl6_19
| spl6_15
| spl6_12
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f71,f158,f162,f186,f218,f206]) ).
tff(f230,plain,
( ~ spl6_17
| spl6_19
| spl6_15
| spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f72,f158,f166,f186,f218,f206]) ).
tff(f231,plain,
( ~ spl6_17
| spl6_19
| spl6_16
| ~ spl6_12
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f73,f158,f162,f192,f218,f206]) ).
tff(f232,plain,
( ~ spl6_17
| spl6_19
| spl6_16
| ~ spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f74,f158,f166,f192,f218,f206]) ).
tff(f233,plain,
( ~ spl6_18
| ~ spl6_17
| ~ spl6_19
| spl6_14 ),
inference(avatar_split_clause,[],[f75,f182,f218,f206,f210]) ).
tff(f234,plain,
( ~ spl6_18
| ~ spl6_17
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f77,f182,f206,f210]) ).
tff(f235,plain,
( ~ spl6_19
| spl6_18
| ~ spl6_17
| spl6_14 ),
inference(avatar_split_clause,[],[f79,f182,f206,f210,f218]) ).
tff(f236,plain,
( spl6_18
| ~ spl6_19
| spl6_17
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f80,f182,f206,f218,f210]) ).
tff(f237,plain,
( spl6_19
| spl6_17
| spl6_14 ),
inference(avatar_split_clause,[],[f82,f182,f206,f218]) ).
tff(f238,plain,
( spl6_19
| spl6_17
| spl6_18
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f84,f182,f210,f206,f218]) ).
cnf(s1,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_3 ),
inference(sat_conversion,[],[f99]) ).
cnf(s2,plain,
( spl6_1
| ~ spl6_2
| spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f104]) ).
cnf(s3,plain,
( spl6_1
| spl6_2
| spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f105]) ).
cnf(s4,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f106]) ).
cnf(s5,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f107]) ).
cnf(s6,plain,
( ~ spl6_1
| spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( spl6_2
| ~ spl6_3
| ~ spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f117]) ).
cnf(s8,plain,
( spl6_3
| spl6_4
| ~ spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f118]) ).
cnf(s9,plain,
( ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f123]) ).
cnf(s10,plain,
( spl6_3
| ~ spl6_4
| ~ spl6_5
| spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f124]) ).
cnf(s11,plain,
( ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| ~ spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f125]) ).
cnf(s12,plain,
( spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f126]) ).
cnf(s13,plain,
( spl6_2
| ~ spl6_3
| spl6_5
| ~ spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f127]) ).
cnf(s14,plain,
( spl6_3
| spl6_4
| spl6_5
| ~ spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f128]) ).
cnf(s15,plain,
( spl6_2
| ~ spl6_3
| spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f129]) ).
cnf(s16,plain,
( spl6_3
| spl6_4
| spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f130]) ).
cnf(s17,plain,
( ~ spl6_2
| ~ spl6_3
| spl6_5
| ~ spl6_7 ),
inference(sat_conversion,[],[f131]) ).
cnf(s18,plain,
( spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_7 ),
inference(sat_conversion,[],[f132]) ).
cnf(s19,plain,
( ~ spl6_1
| spl6_7
| ~ spl6_8
| spl6_9 ),
inference(sat_conversion,[],[f141]) ).
cnf(s20,plain,
( spl6_1
| spl6_6
| ~ spl6_8
| spl6_9 ),
inference(sat_conversion,[],[f142]) ).
cnf(s21,plain,
( ~ spl6_1
| ~ spl6_7
| ~ spl6_8
| spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f147]) ).
cnf(s22,plain,
( spl6_1
| ~ spl6_6
| ~ spl6_8
| spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f148]) ).
cnf(s23,plain,
( ~ spl6_1
| ~ spl6_7
| ~ spl6_8
| ~ spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f149]) ).
cnf(s24,plain,
( spl6_1
| ~ spl6_6
| ~ spl6_8
| ~ spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f150]) ).
cnf(s25,plain,
( ~ spl6_1
| spl6_7
| spl6_8
| ~ spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s26,plain,
( spl6_1
| spl6_6
| spl6_8
| ~ spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s27,plain,
( ~ spl6_1
| spl6_7
| spl6_8
| ~ spl6_9
| ~ spl6_10 ),
inference(sat_conversion,[],[f153]) ).
cnf(s28,plain,
( spl6_1
| spl6_6
| spl6_8
| ~ spl6_9
| ~ spl6_10 ),
inference(sat_conversion,[],[f154]) ).
cnf(s29,plain,
( ~ spl6_1
| ~ spl6_7
| spl6_8
| ~ spl6_10 ),
inference(sat_conversion,[],[f155]) ).
cnf(s30,plain,
( spl6_1
| ~ spl6_6
| spl6_8
| ~ spl6_10 ),
inference(sat_conversion,[],[f156]) ).
cnf(s33,plain,
( ~ spl6_5
| ~ spl6_10
| spl6_11
| ~ spl6_12 ),
inference(sat_conversion,[],[f171]) ).
cnf(s34,plain,
( spl6_5
| ~ spl6_9
| spl6_11
| ~ spl6_12 ),
inference(sat_conversion,[],[f172]) ).
cnf(s35,plain,
( ~ spl6_5
| ~ spl6_10
| spl6_11
| spl6_12
| ~ spl6_13 ),
inference(sat_conversion,[],[f173]) ).
cnf(s36,plain,
( spl6_5
| ~ spl6_9
| spl6_11
| spl6_12
| ~ spl6_13 ),
inference(sat_conversion,[],[f174]) ).
cnf(s37,plain,
( ~ spl6_5
| spl6_10
| ~ spl6_11
| spl6_12
| ~ spl6_13 ),
inference(sat_conversion,[],[f175]) ).
cnf(s38,plain,
( spl6_5
| spl6_9
| ~ spl6_11
| spl6_12
| ~ spl6_13 ),
inference(sat_conversion,[],[f176]) ).
cnf(s39,plain,
( ~ spl6_5
| spl6_10
| ~ spl6_11
| spl6_13 ),
inference(sat_conversion,[],[f177]) ).
cnf(s40,plain,
( spl6_5
| spl6_9
| ~ spl6_11
| spl6_13 ),
inference(sat_conversion,[],[f178]) ).
cnf(s43,plain,
( ~ spl6_8
| spl6_12
| ~ spl6_14
| spl6_15 ),
inference(sat_conversion,[],[f189]) ).
cnf(s44,plain,
( spl6_8
| spl6_13
| ~ spl6_14
| spl6_15 ),
inference(sat_conversion,[],[f190]) ).
cnf(s45,plain,
( ~ spl6_8
| ~ spl6_12
| ~ spl6_14
| spl6_15
| spl6_16 ),
inference(sat_conversion,[],[f195]) ).
cnf(s46,plain,
( spl6_8
| ~ spl6_13
| ~ spl6_14
| spl6_15
| spl6_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s47,plain,
( ~ spl6_8
| ~ spl6_12
| ~ spl6_14
| ~ spl6_15
| spl6_16 ),
inference(sat_conversion,[],[f197]) ).
cnf(s48,plain,
( spl6_8
| ~ spl6_13
| ~ spl6_14
| ~ spl6_15
| spl6_16 ),
inference(sat_conversion,[],[f198]) ).
cnf(s49,plain,
( ~ spl6_8
| spl6_12
| spl6_14
| ~ spl6_15
| spl6_16 ),
inference(sat_conversion,[],[f199]) ).
cnf(s50,plain,
( spl6_8
| spl6_13
| spl6_14
| ~ spl6_15
| spl6_16 ),
inference(sat_conversion,[],[f200]) ).
cnf(s51,plain,
( ~ spl6_8
| spl6_12
| spl6_14
| ~ spl6_15
| ~ spl6_16 ),
inference(sat_conversion,[],[f201]) ).
cnf(s52,plain,
( spl6_8
| spl6_13
| spl6_14
| ~ spl6_15
| ~ spl6_16 ),
inference(sat_conversion,[],[f202]) ).
cnf(s53,plain,
( ~ spl6_8
| ~ spl6_12
| spl6_14
| ~ spl6_16 ),
inference(sat_conversion,[],[f203]) ).
cnf(s54,plain,
( spl6_8
| ~ spl6_13
| spl6_14
| ~ spl6_16 ),
inference(sat_conversion,[],[f204]) ).
cnf(s55,plain,
( ~ spl6_11
| spl6_12
| ~ spl6_15
| spl6_17
| ~ spl6_18 ),
inference(sat_conversion,[],[f213]) ).
cnf(s56,plain,
( spl6_11
| spl6_13
| ~ spl6_15
| spl6_17
| ~ spl6_18 ),
inference(sat_conversion,[],[f214]) ).
cnf(s57,plain,
( ~ spl6_11
| ~ spl6_12
| ~ spl6_16
| spl6_17
| ~ spl6_18 ),
inference(sat_conversion,[],[f215]) ).
cnf(s58,plain,
( spl6_11
| ~ spl6_13
| ~ spl6_16
| spl6_17
| ~ spl6_18 ),
inference(sat_conversion,[],[f216]) ).
cnf(s59,plain,
( ~ spl6_11
| spl6_12
| spl6_15
| spl6_17
| ~ spl6_19 ),
inference(sat_conversion,[],[f221]) ).
cnf(s60,plain,
( spl6_11
| spl6_13
| spl6_15
| spl6_17
| ~ spl6_19 ),
inference(sat_conversion,[],[f222]) ).
cnf(s61,plain,
( ~ spl6_11
| ~ spl6_12
| spl6_16
| spl6_17
| ~ spl6_19 ),
inference(sat_conversion,[],[f223]) ).
cnf(s62,plain,
( spl6_11
| ~ spl6_13
| spl6_16
| spl6_17
| ~ spl6_19 ),
inference(sat_conversion,[],[f224]) ).
cnf(s63,plain,
( ~ spl6_11
| spl6_12
| ~ spl6_15
| ~ spl6_17
| spl6_18 ),
inference(sat_conversion,[],[f225]) ).
cnf(s64,plain,
( spl6_11
| spl6_13
| ~ spl6_15
| ~ spl6_17
| spl6_18 ),
inference(sat_conversion,[],[f226]) ).
cnf(s65,plain,
( ~ spl6_11
| ~ spl6_12
| ~ spl6_16
| ~ spl6_17
| spl6_18 ),
inference(sat_conversion,[],[f227]) ).
cnf(s66,plain,
( spl6_11
| ~ spl6_13
| ~ spl6_16
| ~ spl6_17
| spl6_18 ),
inference(sat_conversion,[],[f228]) ).
cnf(s67,plain,
( ~ spl6_11
| spl6_12
| spl6_15
| ~ spl6_17
| spl6_19 ),
inference(sat_conversion,[],[f229]) ).
cnf(s68,plain,
( spl6_11
| spl6_13
| spl6_15
| ~ spl6_17
| spl6_19 ),
inference(sat_conversion,[],[f230]) ).
cnf(s69,plain,
( ~ spl6_11
| ~ spl6_12
| spl6_16
| ~ spl6_17
| spl6_19 ),
inference(sat_conversion,[],[f231]) ).
cnf(s70,plain,
( spl6_11
| ~ spl6_13
| spl6_16
| ~ spl6_17
| spl6_19 ),
inference(sat_conversion,[],[f232]) ).
cnf(s71,plain,
( spl6_14
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(sat_conversion,[],[f233]) ).
cnf(s72,plain,
( ~ spl6_14
| ~ spl6_17
| ~ spl6_18 ),
inference(sat_conversion,[],[f234]) ).
cnf(s73,plain,
( spl6_14
| ~ spl6_17
| spl6_18
| ~ spl6_19 ),
inference(sat_conversion,[],[f235]) ).
cnf(s74,plain,
( ~ spl6_14
| spl6_17
| spl6_18
| ~ spl6_19 ),
inference(sat_conversion,[],[f236]) ).
cnf(s75,plain,
( spl6_14
| spl6_17
| spl6_19 ),
inference(sat_conversion,[],[f237]) ).
cnf(s76,plain,
( ~ spl6_14
| spl6_17
| spl6_18
| spl6_19 ),
inference(sat_conversion,[],[f238]) ).
cnf(s77,plain,
( spl6_17
| spl6_15
| spl6_14
| spl6_13
| spl6_11 ),
inference(rat,[],[s60,s75]) ).
cnf(s78,plain,
( ~ spl6_19
| ~ spl6_17
| spl6_14 ),
inference(rat,[],[s71,s73]) ).
cnf(s79,plain,
( spl6_15
| spl6_14
| spl6_11
| spl6_13 ),
inference(rat,[],[s78,s68,s77]) ).
cnf(s80,plain,
( ~ spl6_15
| spl6_14
| spl6_8
| spl6_13 ),
inference(rat,[],[s50,s52]) ).
cnf(s81,plain,
( spl6_14
| spl6_13
| spl6_11
| spl6_8 ),
inference(rat,[],[s80,s79]) ).
cnf(s82,plain,
( spl6_18
| spl6_17
| ~ spl6_14 ),
inference(rat,[],[s74,s76]) ).
cnf(s83,plain,
( spl6_17
| ~ spl6_15
| ~ spl6_14
| spl6_13
| spl6_11 ),
inference(rat,[],[s82,s56]) ).
cnf(s84,plain,
( ~ spl6_15
| ~ spl6_14
| spl6_11
| spl6_13 ),
inference(rat,[],[s72,s64,s83]) ).
cnf(s85,plain,
( spl6_13
| spl6_11
| spl6_8 ),
inference(rat,[],[s84,s44,s81]) ).
cnf(s86,plain,
( spl6_17
| spl6_16
| spl6_14
| ~ spl6_13
| spl6_11 ),
inference(rat,[],[s62,s75]) ).
cnf(s87,plain,
( spl6_16
| spl6_14
| spl6_11
| ~ spl6_13 ),
inference(rat,[],[s70,s78,s86]) ).
cnf(s88,plain,
( spl6_14
| spl6_11
| spl6_8 ),
inference(rat,[],[s87,s54,s85]) ).
cnf(s89,plain,
( spl6_16
| ~ spl6_14
| spl6_8
| ~ spl6_13 ),
inference(rat,[],[s46,s48]) ).
cnf(s90,plain,
( spl6_17
| ~ spl6_16
| ~ spl6_14
| ~ spl6_13
| spl6_11 ),
inference(rat,[],[s58,s82]) ).
cnf(s91,plain,
( ~ spl6_16
| spl6_11
| ~ spl6_14
| ~ spl6_13 ),
inference(rat,[],[s66,s72,s90]) ).
cnf(s92,plain,
( spl6_11
| spl6_8 ),
inference(rat,[],[s91,s89,s88,s85]) ).
cnf(s93,plain,
( spl6_17
| spl6_16
| spl6_14
| ~ spl6_12
| ~ spl6_11 ),
inference(rat,[],[s61,s75]) ).
cnf(s94,plain,
( spl6_16
| spl6_14
| ~ spl6_11
| ~ spl6_12 ),
inference(rat,[],[s69,s78,s93]) ).
cnf(s95,plain,
( spl6_14
| ~ spl6_12
| ~ spl6_13
| spl6_8 ),
inference(rat,[],[s94,s54,s92]) ).
cnf(s96,plain,
( spl6_17
| ~ spl6_16
| ~ spl6_14
| ~ spl6_12
| ~ spl6_11 ),
inference(rat,[],[s82,s57]) ).
cnf(s97,plain,
( ~ spl6_16
| ~ spl6_14
| ~ spl6_11
| ~ spl6_12 ),
inference(rat,[],[s65,s72,s96]) ).
cnf(s98,plain,
( spl6_9
| spl6_8
| spl6_5 ),
inference(rat,[],[s97,s89,s95,s38,s40,s92]) ).
cnf(s99,plain,
( ~ spl6_9
| spl6_8
| spl6_1
| spl6_6 ),
inference(rat,[],[s26,s28]) ).
cnf(s100,plain,
( spl6_8
| spl6_6
| spl6_5
| spl6_1 ),
inference(rat,[],[s99,s98]) ).
cnf(s101,plain,
( ~ spl6_15
| spl6_12
| ~ spl6_8
| spl6_14 ),
inference(rat,[],[s49,s51]) ).
cnf(s102,plain,
( spl6_11
| spl6_14
| ~ spl6_9
| ~ spl6_8
| spl6_5 ),
inference(rat,[],[s101,s79,s36,s34]) ).
cnf(s103,plain,
( ~ spl6_12
| ~ spl6_11
| spl6_14
| ~ spl6_8 ),
inference(rat,[],[s94,s53]) ).
cnf(s104,plain,
( spl6_17
| spl6_15
| spl6_12
| ~ spl6_11
| spl6_14 ),
inference(rat,[],[s59,s75]) ).
cnf(s105,plain,
( spl6_15
| spl6_14
| spl6_12
| ~ spl6_11 ),
inference(rat,[],[s67,s78,s104]) ).
cnf(s106,plain,
( ~ spl6_11
| spl6_14
| ~ spl6_8 ),
inference(rat,[],[s105,s101,s103]) ).
cnf(s107,plain,
( spl6_14
| ~ spl6_9
| spl6_5
| ~ spl6_8 ),
inference(rat,[],[s106,s102]) ).
cnf(s108,plain,
( spl6_11
| ~ spl6_9
| ~ spl6_8
| spl6_5 ),
inference(rat,[],[s84,s36,s43,s34,s107]) ).
cnf(s109,plain,
( spl6_16
| ~ spl6_12
| ~ spl6_8
| ~ spl6_14 ),
inference(rat,[],[s45,s47]) ).
cnf(s110,plain,
( ~ spl6_12
| ~ spl6_11
| ~ spl6_14
| ~ spl6_8 ),
inference(rat,[],[s109,s97]) ).
cnf(s111,plain,
( spl6_17
| ~ spl6_15
| spl6_12
| ~ spl6_11
| ~ spl6_14 ),
inference(rat,[],[s55,s82]) ).
cnf(s112,plain,
( ~ spl6_15
| ~ spl6_14
| spl6_12
| ~ spl6_11 ),
inference(rat,[],[s63,s72,s111]) ).
cnf(s113,plain,
( ~ spl6_11
| ~ spl6_8
| ~ spl6_14 ),
inference(rat,[],[s112,s43,s110]) ).
cnf(s114,plain,
( ~ spl6_9
| ~ spl6_8
| spl6_5 ),
inference(rat,[],[s113,s108,s107]) ).
cnf(s115,plain,
( spl6_6
| spl6_5
| spl6_1 ),
inference(rat,[],[s114,s20,s100]) ).
cnf(s116,plain,
( ~ spl6_6
| spl6_5
| spl6_3
| spl6_4 ),
inference(rat,[],[s14,s16]) ).
cnf(s117,plain,
( spl6_5
| spl6_4
| spl6_3
| spl6_1 ),
inference(rat,[],[s116,s115]) ).
cnf(s118,plain,
( spl6_8
| spl6_14
| ~ spl6_6
| ~ spl6_5
| spl6_1 ),
inference(rat,[],[s95,s37,s39,s92,s30]) ).
cnf(s119,plain,
( spl6_10
| ~ spl6_8
| spl6_1
| ~ spl6_6 ),
inference(rat,[],[s22,s24]) ).
cnf(s120,plain,
( spl6_14
| ~ spl6_6
| spl6_1
| ~ spl6_5 ),
inference(rat,[],[s79,s101,s35,s33,s119,s106,s118]) ).
cnf(s121,plain,
( spl6_8
| ~ spl6_6
| ~ spl6_5
| spl6_1 ),
inference(rat,[],[s97,s89,s37,s39,s92,s30,s120]) ).
cnf(s122,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_1 ),
inference(rat,[],[s84,s43,s35,s33,s119,s113,s121,s120]) ).
cnf(s123,plain,
( spl6_4
| spl6_3
| spl6_1 ),
inference(rat,[],[s122,s8,s117]) ).
cnf(s124,plain,
( spl6_3
| spl6_2
| spl6_1 ),
inference(rat,[],[s123,s3]) ).
cnf(s125,plain,
( ~ spl6_6
| spl6_5
| spl6_2
| ~ spl6_3 ),
inference(rat,[],[s13,s15]) ).
cnf(s126,plain,
( spl6_5
| spl6_2
| spl6_1 ),
inference(rat,[],[s125,s115,s124]) ).
cnf(s127,plain,
( spl6_2
| spl6_1 ),
inference(rat,[],[s122,s7,s126,s124]) ).
cnf(s128,plain,
( spl6_3
| ~ spl6_2
| spl6_1 ),
inference(rat,[],[s123,s2]) ).
cnf(s129,plain,
( ~ spl6_2
| spl6_1 ),
inference(rat,[],[s128,s1]) ).
cnf(s130,plain,
spl6_1,
inference(rat,[],[s129,s127]) ).
cnf(s131,plain,
( spl6_7
| ~ spl6_9
| spl6_8 ),
inference(rat,[],[s25,s27,s130]) ).
cnf(s132,plain,
( spl6_3
| ~ spl6_7
| spl6_5 ),
inference(rat,[],[s18,s6,s130]) ).
cnf(s133,plain,
( spl6_2
| ~ spl6_3 ),
inference(rat,[],[s4,s5,s130]) ).
cnf(s134,plain,
( ~ spl6_3
| ~ spl6_7
| spl6_5 ),
inference(rat,[],[s133,s17]) ).
cnf(s135,plain,
( ~ spl6_7
| spl6_5 ),
inference(rat,[],[s134,s132]) ).
cnf(s136,plain,
( spl6_8
| spl6_5 ),
inference(rat,[],[s131,s98,s135]) ).
cnf(s137,plain,
spl6_5,
inference(rat,[],[s114,s19,s136,s135,s130]) ).
cnf(s138,plain,
( spl6_10
| spl6_8 ),
inference(rat,[],[s89,s97,s95,s37,s39,s92,s137]) ).
cnf(s139,plain,
( spl6_7
| ~ spl6_4
| spl6_3 ),
inference(rat,[],[s10,s12,s137]) ).
cnf(s140,plain,
( spl6_8
| ~ spl6_7 ),
inference(rat,[],[s29,s138,s130]) ).
cnf(s141,plain,
( spl6_10
| ~ spl6_7
| ~ spl6_8 ),
inference(rat,[],[s21,s23,s130]) ).
cnf(s142,plain,
( spl6_14
| ~ spl6_7 ),
inference(rat,[],[s79,s101,s35,s33,s106,s141,s140,s137]) ).
cnf(s143,plain,
( ~ spl6_7
| ~ spl6_8 ),
inference(rat,[],[s84,s43,s35,s33,s113,s142,s141,s137]) ).
cnf(s144,plain,
~ spl6_7,
inference(rat,[],[s143,s140]) ).
cnf(s145,plain,
spl6_3,
inference(rat,[],[s139,s6,s144,s130]) ).
cnf(s146,plain,
spl6_2,
inference(rat,[],[s133,s145]) ).
cnf(s147,plain,
spl6_6,
inference(rat,[],[s9,s137,s145,s144,s146]) ).
cnf(s148,plain,
$false,
inference(rat,[],[s11,s137,s145,s144,s146,s147]) ).
tff(f239,plain,
$false,
inference(avatar_sat_refutation,[],[s148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO500_8.006 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 17:46:45 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.27 % (3285429)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3285438)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=400677472:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (3285438) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3285429-3285438"...
% 0.20/0.27 % (3285435)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3285438)...printing done.
% 0.20/0.27 % (3285438)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 % (3285438)------------------------------
% 0.20/0.27 % (3285438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3285438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3285438)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3285438)Termination reason: Refutation
% 0.20/0.27 % (3285438)Time elapsed: 0.004 s
% 0.20/0.27 % (3285438)Peak memory usage: 12 MB
% 0.20/0.27 % (3285438)Instructions burned: 12 (million)
% 0.20/0.27 % (3285429)Success in time 0.038 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------