%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO500_8.005 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 0.18s 0.26s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 17
% Syntax : Number of formulae : 292 ( 9 unt; 0 typ; 16 def)
% Number of atoms : 1542 ( 2 equ)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 1430 ( 548 ~; 864 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 368 ( 368 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 30 ( 27 usr; 24 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 > $o ).
tff(f1,conjecture,
f0(f1(f1(f1(f2(f3(f3(f3(f4(x))))))))) = f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski5) ).
tff(f2,negated_conjecture,
f0(f1(f1(f1(f2(f3(f3(f3(f4(x))))))))) != f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( f0(f1(f1(f1(f2(f3(f3(f3(f4(x)))))))))
<=> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))) ),
inference(flattening,[],[f2]) ).
tff(f4,plain,
( f0(f1(f1(f1(f2(f3(f3(f3(f4(x)))))))))
<~> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ~ x
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
( x
| ~ f4($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( x
| f4($true)
| ~ f4($false)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
( ~ x
| ~ f4($false)
| f4($true)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f9,plain,
( ~ x
| f4($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f10,plain,
( x
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
( ~ x
| f4($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f12,plain,
( x
| f4($false)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f13,plain,
( ~ x
| ~ f4($true)
| f3($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f14,plain,
( x
| ~ f4($false)
| f3($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f15,plain,
( ~ x
| ~ f4($true)
| ~ f3($false)
| f3($true)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f16,plain,
( x
| ~ f4($false)
| ~ f3($false)
| f3($true)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f17,plain,
( ~ x
| f4($true)
| f3($true)
| ~ f3($false)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f18,plain,
( x
| f4($false)
| f3($true)
| ~ f3($false)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f19,plain,
( ~ x
| f4($true)
| ~ f3($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f20,plain,
( x
| f4($false)
| ~ f3($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f21,plain,
( ~ x
| ~ f4($true)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f22,plain,
( x
| ~ f4($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f23,plain,
( ~ sP4
| f3($true)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f24,plain,
( sP4
| f3($false)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f25,plain,
( ~ sP4
| ~ f3($true)
| f2($true)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f26,plain,
( sP4
| ~ f3($false)
| f2($true)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f27,plain,
( ~ sP4
| ~ f3($true)
| ~ f2($false)
| f2($true)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f28,plain,
( sP4
| ~ f3($false)
| ~ f2($false)
| f2($true)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f29,plain,
( ~ sP4
| f3($true)
| f2($true)
| ~ f2($false)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f30,plain,
( sP4
| f3($false)
| f2($true)
| ~ f2($false)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f31,plain,
( ~ sP4
| f3($true)
| ~ f2($false)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f32,plain,
( sP4
| f3($false)
| ~ f2($false)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f33,plain,
( ~ sP4
| ~ f3($true)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f34,plain,
( sP4
| ~ f3($false)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f37,plain,
( ~ sP3
| ~ f2($true)
| ~ f1($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f38,plain,
( sP3
| ~ f2($false)
| ~ f1($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f39,plain,
( ~ sP3
| ~ f2($true)
| f1($true)
| ~ f1($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f40,plain,
( sP3
| ~ f2($false)
| f1($true)
| ~ f1($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f41,plain,
( ~ sP3
| f2($true)
| ~ f1($false)
| f1($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f42,plain,
( sP3
| f2($false)
| ~ f1($false)
| f1($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f43,plain,
( ~ sP3
| f2($true)
| f1($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f44,plain,
( sP3
| f2($false)
| f1($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f49,plain,
( ~ sP2
| ~ f1($true)
| ~ f0($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f50,plain,
( sP2
| ~ f1($false)
| ~ f0($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f51,plain,
( ~ sP2
| ~ f1($true)
| f0($true)
| ~ f0($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f52,plain,
( sP2
| ~ f1($false)
| f0($true)
| ~ f0($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f53,plain,
( ~ sP2
| f1($true)
| ~ f0($false)
| f0($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f54,plain,
( sP2
| f1($false)
| ~ f0($false)
| f0($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f55,plain,
( ~ sP2
| f1($true)
| f0($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f56,plain,
( sP2
| f1($false)
| f0($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f61,plain,
( ~ sP0
| ~ sP1
| ~ f1($true)
| ~ f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f62,plain,
( ~ sP0
| sP1
| ~ f1($false)
| ~ f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f63,plain,
( sP0
| ~ sP1
| f1($true)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f64,plain,
( sP0
| sP1
| f1($false)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f65,plain,
( ~ sP0
| ~ f0($true)
| ~ sP1
| f1($true)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f66,plain,
( ~ sP0
| ~ f0($true)
| sP1
| f1($false)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f67,plain,
( sP0
| f0($false)
| ~ sP1
| ~ f1($true)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f68,plain,
( sP0
| f0($false)
| sP1
| ~ f1($false)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f69,plain,
( ~ sP0
| ~ sP1
| ~ f1($true)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f70,plain,
( ~ sP0
| sP1
| ~ f1($false)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f71,plain,
( sP0
| ~ sP1
| f1($true)
| f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f72,plain,
( sP0
| sP1
| f1($false)
| f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f79,plain,
( sP0
| ~ sP1
| ~ f1($false)
| ~ f0($false) ),
inference(consistent_polarity_flipping,[],[f72]) ).
tff(f80,plain,
( sP0
| sP1
| ~ f1($true)
| ~ f0($false) ),
inference(consistent_polarity_flipping,[],[f71]) ).
tff(f81,plain,
( ~ sP0
| ~ sP1
| f1($false)
| ~ f0($true) ),
inference(consistent_polarity_flipping,[],[f70]) ).
tff(f82,plain,
( ~ sP0
| sP1
| f1($true)
| ~ f0($true) ),
inference(consistent_polarity_flipping,[],[f69]) ).
tff(f83,plain,
( sP0
| ~ f0($false)
| ~ sP1
| f1($false)
| ~ f0($true) ),
inference(consistent_polarity_flipping,[],[f68]) ).
tff(f84,plain,
( sP0
| ~ f0($false)
| sP1
| f1($true)
| ~ f0($true) ),
inference(consistent_polarity_flipping,[],[f67]) ).
tff(f85,plain,
( ~ sP0
| f0($true)
| ~ sP1
| ~ f1($false)
| f0($false) ),
inference(consistent_polarity_flipping,[],[f66]) ).
tff(f86,plain,
( ~ sP0
| f0($true)
| sP1
| ~ f1($true)
| f0($false) ),
inference(consistent_polarity_flipping,[],[f65]) ).
tff(f87,plain,
( sP0
| ~ sP1
| ~ f1($false)
| f0($false) ),
inference(consistent_polarity_flipping,[],[f64]) ).
tff(f88,plain,
( sP0
| sP1
| ~ f1($true)
| f0($false) ),
inference(consistent_polarity_flipping,[],[f63]) ).
tff(f89,plain,
( ~ sP0
| ~ sP1
| f1($false)
| f0($true) ),
inference(consistent_polarity_flipping,[],[f62]) ).
tff(f90,plain,
( ~ sP0
| sP1
| f1($true)
| f0($true) ),
inference(consistent_polarity_flipping,[],[f61]) ).
tff(f95,plain,
( ~ sP2
| ~ f1($false)
| ~ f0($false)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f56]) ).
tff(f96,plain,
( sP2
| ~ f1($true)
| ~ f0($false)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f55]) ).
tff(f97,plain,
( ~ sP2
| ~ f1($false)
| f0($false)
| ~ f0($true)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f54]) ).
tff(f98,plain,
( sP2
| ~ f1($true)
| f0($false)
| ~ f0($true)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f53]) ).
tff(f99,plain,
( ~ sP2
| f1($false)
| ~ f0($true)
| f0($false)
| sP0 ),
inference(consistent_polarity_flipping,[],[f52]) ).
tff(f100,plain,
( sP2
| f1($true)
| ~ f0($true)
| f0($false)
| sP0 ),
inference(consistent_polarity_flipping,[],[f51]) ).
tff(f101,plain,
( ~ sP2
| f1($false)
| f0($true)
| sP0 ),
inference(consistent_polarity_flipping,[],[f50]) ).
tff(f102,plain,
( sP2
| f1($true)
| f0($true)
| sP0 ),
inference(consistent_polarity_flipping,[],[f49]) ).
tff(f107,plain,
( ~ sP3
| f2($false)
| ~ f1($false)
| sP1 ),
inference(consistent_polarity_flipping,[],[f44]) ).
tff(f108,plain,
( sP3
| f2($true)
| ~ f1($false)
| sP1 ),
inference(consistent_polarity_flipping,[],[f43]) ).
tff(f109,plain,
( ~ sP3
| f2($false)
| f1($false)
| ~ f1($true)
| sP1 ),
inference(consistent_polarity_flipping,[],[f42]) ).
tff(f110,plain,
( sP3
| f2($true)
| f1($false)
| ~ f1($true)
| sP1 ),
inference(consistent_polarity_flipping,[],[f41]) ).
tff(f111,plain,
( ~ sP3
| ~ f2($false)
| ~ f1($true)
| f1($false)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f40]) ).
tff(f112,plain,
( sP3
| ~ f2($true)
| ~ f1($true)
| f1($false)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f39]) ).
tff(f113,plain,
( ~ sP3
| ~ f2($false)
| f1($true)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f38]) ).
tff(f114,plain,
( sP3
| ~ f2($true)
| f1($true)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f37]) ).
tff(f117,plain,
( sP4
| f3($false)
| ~ f2($true)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f34]) ).
tff(f118,plain,
( ~ sP4
| f3($true)
| ~ f2($true)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f33]) ).
tff(f119,plain,
( sP4
| ~ f3($false)
| ~ f2($false)
| ~ f2($true)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f32]) ).
tff(f120,plain,
( ~ sP4
| ~ f3($true)
| ~ f2($false)
| ~ f2($true)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f31]) ).
tff(f121,plain,
( sP4
| ~ f3($false)
| f2($true)
| ~ f2($false)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f30]) ).
tff(f122,plain,
( ~ sP4
| ~ f3($true)
| f2($true)
| ~ f2($false)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f29]) ).
tff(f123,plain,
( sP4
| f3($false)
| ~ f2($false)
| f2($true)
| sP2 ),
inference(consistent_polarity_flipping,[],[f28]) ).
tff(f124,plain,
( ~ sP4
| f3($true)
| ~ f2($false)
| f2($true)
| sP2 ),
inference(consistent_polarity_flipping,[],[f27]) ).
tff(f125,plain,
( sP4
| f3($false)
| f2($true)
| f2($false)
| sP2 ),
inference(consistent_polarity_flipping,[],[f26]) ).
tff(f126,plain,
( ~ sP4
| f3($true)
| f2($true)
| f2($false)
| sP2 ),
inference(consistent_polarity_flipping,[],[f25]) ).
tff(f127,plain,
( sP4
| ~ f3($false)
| f2($false)
| sP2 ),
inference(consistent_polarity_flipping,[],[f24]) ).
tff(f128,plain,
( ~ sP4
| ~ f3($true)
| f2($false)
| sP2 ),
inference(consistent_polarity_flipping,[],[f23]) ).
tff(f129,plain,
( x
| ~ f4($false)
| f3($true)
| ~ sP3 ),
inference(consistent_polarity_flipping,[],[f22]) ).
tff(f130,plain,
( ~ x
| ~ f4($true)
| f3($true)
| ~ sP3 ),
inference(consistent_polarity_flipping,[],[f21]) ).
tff(f131,plain,
( x
| f4($false)
| f3($false)
| f3($true)
| ~ sP3 ),
inference(consistent_polarity_flipping,[],[f20]) ).
tff(f132,plain,
( ~ x
| f4($true)
| f3($false)
| f3($true)
| ~ sP3 ),
inference(consistent_polarity_flipping,[],[f19]) ).
tff(f133,plain,
( x
| f4($false)
| ~ f3($true)
| f3($false)
| ~ sP3 ),
inference(consistent_polarity_flipping,[],[f18]) ).
tff(f134,plain,
( ~ x
| f4($true)
| ~ f3($true)
| f3($false)
| ~ sP3 ),
inference(consistent_polarity_flipping,[],[f17]) ).
tff(f135,plain,
( x
| ~ f4($false)
| f3($false)
| ~ f3($true)
| sP3 ),
inference(consistent_polarity_flipping,[],[f16]) ).
tff(f136,plain,
( ~ x
| ~ f4($true)
| f3($false)
| ~ f3($true)
| sP3 ),
inference(consistent_polarity_flipping,[],[f15]) ).
tff(f137,plain,
( x
| ~ f4($false)
| ~ f3($true)
| ~ f3($false)
| sP3 ),
inference(consistent_polarity_flipping,[],[f14]) ).
tff(f138,plain,
( ~ x
| ~ f4($true)
| ~ f3($true)
| ~ f3($false)
| sP3 ),
inference(consistent_polarity_flipping,[],[f13]) ).
tff(f139,plain,
( x
| f4($false)
| ~ f3($false)
| sP3 ),
inference(consistent_polarity_flipping,[],[f12]) ).
tff(f140,plain,
( ~ x
| f4($true)
| ~ f3($false)
| sP3 ),
inference(consistent_polarity_flipping,[],[f11]) ).
tff(f142,definition,
( spl5_1
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
tff(f146,definition,
( spl5_2
<=> f4($true) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
tff(f150,definition,
( spl5_3
<=> x ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
tff(f153,plain,
( spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f5,f150,f146,f142]) ).
tff(f155,definition,
( spl5_4
<=> f4($false) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
tff(f158,plain,
( spl5_1
| ~ spl5_2
| ~ spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f6,f150,f155,f146,f142]) ).
tff(f159,plain,
( spl5_1
| ~ spl5_4
| spl5_2
| spl5_3 ),
inference(avatar_split_clause,[],[f7,f150,f146,f155,f142]) ).
tff(f160,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_4
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f8,f150,f155,f146,f142]) ).
tff(f161,plain,
( ~ spl5_1
| spl5_4
| spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f9,f150,f146,f155,f142]) ).
tff(f162,plain,
( ~ spl5_1
| spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f10,f150,f155,f142]) ).
tff(f164,definition,
( spl5_5
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
tff(f168,definition,
( spl5_6
<=> f3($false) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
tff(f171,plain,
( spl5_5
| ~ spl5_6
| spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f140,f150,f146,f168,f164]) ).
tff(f172,plain,
( spl5_5
| ~ spl5_6
| spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f139,f150,f155,f168,f164]) ).
tff(f174,definition,
( spl5_7
<=> f3($true) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
tff(f177,plain,
( spl5_5
| ~ spl5_6
| ~ spl5_7
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f138,f150,f146,f174,f168,f164]) ).
tff(f178,plain,
( spl5_5
| ~ spl5_6
| ~ spl5_7
| ~ spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f137,f150,f155,f174,f168,f164]) ).
tff(f179,plain,
( spl5_5
| ~ spl5_7
| spl5_6
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f136,f150,f146,f168,f174,f164]) ).
tff(f180,plain,
( spl5_5
| ~ spl5_7
| spl5_6
| ~ spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f135,f150,f155,f168,f174,f164]) ).
tff(f181,plain,
( ~ spl5_5
| spl5_6
| ~ spl5_7
| spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f134,f150,f146,f174,f168,f164]) ).
tff(f182,plain,
( ~ spl5_5
| spl5_6
| ~ spl5_7
| spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f133,f150,f155,f174,f168,f164]) ).
tff(f183,plain,
( ~ spl5_5
| spl5_7
| spl5_6
| spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f132,f150,f146,f168,f174,f164]) ).
tff(f184,plain,
( ~ spl5_5
| spl5_7
| spl5_6
| spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f131,f150,f155,f168,f174,f164]) ).
tff(f185,plain,
( ~ spl5_5
| spl5_7
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f130,f150,f146,f174,f164]) ).
tff(f186,plain,
( ~ spl5_5
| spl5_7
| ~ spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f129,f150,f155,f174,f164]) ).
tff(f188,definition,
( spl5_8
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
tff(f192,definition,
( spl5_9
<=> f2($false) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
tff(f195,plain,
( spl5_8
| spl5_9
| ~ spl5_7
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f128,f142,f174,f192,f188]) ).
tff(f196,plain,
( spl5_8
| spl5_9
| ~ spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f127,f142,f168,f192,f188]) ).
tff(f198,definition,
( spl5_10
<=> f2($true) ),
introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).
tff(f201,plain,
( spl5_8
| spl5_9
| spl5_10
| spl5_7
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f126,f142,f174,f198,f192,f188]) ).
tff(f202,plain,
( spl5_8
| spl5_9
| spl5_10
| spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f125,f142,f168,f198,f192,f188]) ).
tff(f203,plain,
( spl5_8
| spl5_10
| ~ spl5_9
| spl5_7
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f124,f142,f174,f192,f198,f188]) ).
tff(f204,plain,
( spl5_8
| spl5_10
| ~ spl5_9
| spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f123,f142,f168,f192,f198,f188]) ).
tff(f205,plain,
( ~ spl5_8
| ~ spl5_9
| spl5_10
| ~ spl5_7
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f122,f142,f174,f198,f192,f188]) ).
tff(f206,plain,
( ~ spl5_8
| ~ spl5_9
| spl5_10
| ~ spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f121,f142,f168,f198,f192,f188]) ).
tff(f207,plain,
( ~ spl5_8
| ~ spl5_10
| ~ spl5_9
| ~ spl5_7
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f120,f142,f174,f192,f198,f188]) ).
tff(f208,plain,
( ~ spl5_8
| ~ spl5_10
| ~ spl5_9
| ~ spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f119,f142,f168,f192,f198,f188]) ).
tff(f209,plain,
( ~ spl5_8
| ~ spl5_10
| spl5_7
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f118,f142,f174,f198,f188]) ).
tff(f210,plain,
( ~ spl5_8
| ~ spl5_10
| spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f117,f142,f168,f198,f188]) ).
tff(f212,definition,
( spl5_11
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
tff(f216,definition,
( spl5_12
<=> f1($true) ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
tff(f220,definition,
( spl5_13
<=> f1($false) ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
tff(f225,plain,
( ~ spl5_11
| spl5_12
| ~ spl5_10
| spl5_5 ),
inference(avatar_split_clause,[],[f114,f164,f198,f216,f212]) ).
tff(f226,plain,
( ~ spl5_11
| spl5_12
| ~ spl5_9
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f113,f164,f192,f216,f212]) ).
tff(f227,plain,
( ~ spl5_11
| spl5_13
| ~ spl5_12
| ~ spl5_10
| spl5_5 ),
inference(avatar_split_clause,[],[f112,f164,f198,f216,f220,f212]) ).
tff(f228,plain,
( ~ spl5_11
| spl5_13
| ~ spl5_12
| ~ spl5_9
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f111,f164,f192,f216,f220,f212]) ).
tff(f229,plain,
( spl5_11
| ~ spl5_12
| spl5_13
| spl5_10
| spl5_5 ),
inference(avatar_split_clause,[],[f110,f164,f198,f220,f216,f212]) ).
tff(f230,plain,
( spl5_11
| ~ spl5_12
| spl5_13
| spl5_9
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f109,f164,f192,f220,f216,f212]) ).
tff(f231,plain,
( spl5_11
| ~ spl5_13
| spl5_10
| spl5_5 ),
inference(avatar_split_clause,[],[f108,f164,f198,f220,f212]) ).
tff(f232,plain,
( spl5_11
| ~ spl5_13
| spl5_9
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f107,f164,f192,f220,f212]) ).
tff(f236,definition,
( spl5_14
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
tff(f240,definition,
( spl5_15
<=> f0($true) ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
tff(f244,definition,
( spl5_16
<=> f0($false) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
tff(f249,plain,
( spl5_14
| spl5_15
| spl5_12
| spl5_8 ),
inference(avatar_split_clause,[],[f102,f188,f216,f240,f236]) ).
tff(f250,plain,
( spl5_14
| spl5_15
| spl5_13
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f101,f188,f220,f240,f236]) ).
tff(f251,plain,
( spl5_14
| spl5_16
| ~ spl5_15
| spl5_12
| spl5_8 ),
inference(avatar_split_clause,[],[f100,f188,f216,f240,f244,f236]) ).
tff(f252,plain,
( spl5_14
| spl5_16
| ~ spl5_15
| spl5_13
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f99,f188,f220,f240,f244,f236]) ).
tff(f253,plain,
( ~ spl5_14
| ~ spl5_15
| spl5_16
| ~ spl5_12
| spl5_8 ),
inference(avatar_split_clause,[],[f98,f188,f216,f244,f240,f236]) ).
tff(f254,plain,
( ~ spl5_14
| ~ spl5_15
| spl5_16
| ~ spl5_13
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f97,f188,f220,f244,f240,f236]) ).
tff(f255,plain,
( ~ spl5_14
| ~ spl5_16
| ~ spl5_12
| spl5_8 ),
inference(avatar_split_clause,[],[f96,f188,f216,f244,f236]) ).
tff(f256,plain,
( ~ spl5_14
| ~ spl5_16
| ~ spl5_13
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f95,f188,f220,f244,f236]) ).
tff(f261,plain,
( spl5_15
| spl5_12
| spl5_11
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f90,f236,f212,f216,f240]) ).
tff(f262,plain,
( spl5_15
| spl5_13
| ~ spl5_11
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f89,f236,f212,f220,f240]) ).
tff(f263,plain,
( spl5_16
| ~ spl5_12
| spl5_11
| spl5_14 ),
inference(avatar_split_clause,[],[f88,f236,f212,f216,f244]) ).
tff(f264,plain,
( spl5_16
| ~ spl5_13
| ~ spl5_11
| spl5_14 ),
inference(avatar_split_clause,[],[f87,f236,f212,f220,f244]) ).
tff(f265,plain,
( spl5_16
| ~ spl5_12
| spl5_11
| spl5_15
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f86,f236,f240,f212,f216,f244]) ).
tff(f266,plain,
( spl5_16
| ~ spl5_13
| ~ spl5_11
| spl5_15
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f85,f236,f240,f212,f220,f244]) ).
tff(f267,plain,
( ~ spl5_15
| spl5_12
| spl5_11
| ~ spl5_16
| spl5_14 ),
inference(avatar_split_clause,[],[f84,f236,f244,f212,f216,f240]) ).
tff(f268,plain,
( ~ spl5_15
| spl5_13
| ~ spl5_11
| ~ spl5_16
| spl5_14 ),
inference(avatar_split_clause,[],[f83,f236,f244,f212,f220,f240]) ).
tff(f269,plain,
( ~ spl5_15
| spl5_12
| spl5_11
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f82,f236,f212,f216,f240]) ).
tff(f270,plain,
( ~ spl5_15
| spl5_13
| ~ spl5_11
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f81,f236,f212,f220,f240]) ).
tff(f271,plain,
( ~ spl5_16
| ~ spl5_12
| spl5_11
| spl5_14 ),
inference(avatar_split_clause,[],[f80,f236,f212,f216,f244]) ).
tff(f272,plain,
( ~ spl5_16
| ~ spl5_13
| ~ spl5_11
| spl5_14 ),
inference(avatar_split_clause,[],[f79,f236,f212,f220,f244]) ).
cnf(s1,plain,
( spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(sat_conversion,[],[f153]) ).
cnf(s2,plain,
( spl5_1
| ~ spl5_2
| spl5_3
| ~ spl5_4 ),
inference(sat_conversion,[],[f158]) ).
cnf(s3,plain,
( spl5_1
| spl5_2
| spl5_3
| ~ spl5_4 ),
inference(sat_conversion,[],[f159]) ).
cnf(s4,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(sat_conversion,[],[f160]) ).
cnf(s5,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f161]) ).
cnf(s6,plain,
( ~ spl5_1
| spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f162]) ).
cnf(s7,plain,
( spl5_2
| ~ spl5_3
| spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f171]) ).
cnf(s8,plain,
( spl5_3
| spl5_4
| spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f172]) ).
cnf(s9,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_5
| ~ spl5_6
| ~ spl5_7 ),
inference(sat_conversion,[],[f177]) ).
cnf(s10,plain,
( spl5_3
| ~ spl5_4
| spl5_5
| ~ spl5_6
| ~ spl5_7 ),
inference(sat_conversion,[],[f178]) ).
cnf(s11,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_5
| spl5_6
| ~ spl5_7 ),
inference(sat_conversion,[],[f179]) ).
cnf(s12,plain,
( spl5_3
| ~ spl5_4
| spl5_5
| spl5_6
| ~ spl5_7 ),
inference(sat_conversion,[],[f180]) ).
cnf(s13,plain,
( spl5_2
| ~ spl5_3
| ~ spl5_5
| spl5_6
| ~ spl5_7 ),
inference(sat_conversion,[],[f181]) ).
cnf(s14,plain,
( spl5_3
| spl5_4
| ~ spl5_5
| spl5_6
| ~ spl5_7 ),
inference(sat_conversion,[],[f182]) ).
cnf(s15,plain,
( spl5_2
| ~ spl5_3
| ~ spl5_5
| spl5_6
| spl5_7 ),
inference(sat_conversion,[],[f183]) ).
cnf(s16,plain,
( spl5_3
| spl5_4
| ~ spl5_5
| spl5_6
| spl5_7 ),
inference(sat_conversion,[],[f184]) ).
cnf(s17,plain,
( ~ spl5_2
| ~ spl5_3
| ~ spl5_5
| spl5_7 ),
inference(sat_conversion,[],[f185]) ).
cnf(s18,plain,
( spl5_3
| ~ spl5_4
| ~ spl5_5
| spl5_7 ),
inference(sat_conversion,[],[f186]) ).
cnf(s19,plain,
( ~ spl5_1
| ~ spl5_7
| spl5_8
| spl5_9 ),
inference(sat_conversion,[],[f195]) ).
cnf(s20,plain,
( spl5_1
| ~ spl5_6
| spl5_8
| spl5_9 ),
inference(sat_conversion,[],[f196]) ).
cnf(s21,plain,
( ~ spl5_1
| spl5_7
| spl5_8
| spl5_9
| spl5_10 ),
inference(sat_conversion,[],[f201]) ).
cnf(s22,plain,
( spl5_1
| spl5_6
| spl5_8
| spl5_9
| spl5_10 ),
inference(sat_conversion,[],[f202]) ).
cnf(s23,plain,
( ~ spl5_1
| spl5_7
| spl5_8
| ~ spl5_9
| spl5_10 ),
inference(sat_conversion,[],[f203]) ).
cnf(s24,plain,
( spl5_1
| spl5_6
| spl5_8
| ~ spl5_9
| spl5_10 ),
inference(sat_conversion,[],[f204]) ).
cnf(s25,plain,
( ~ spl5_1
| ~ spl5_7
| ~ spl5_8
| ~ spl5_9
| spl5_10 ),
inference(sat_conversion,[],[f205]) ).
cnf(s26,plain,
( spl5_1
| ~ spl5_6
| ~ spl5_8
| ~ spl5_9
| spl5_10 ),
inference(sat_conversion,[],[f206]) ).
cnf(s27,plain,
( ~ spl5_1
| ~ spl5_7
| ~ spl5_8
| ~ spl5_9
| ~ spl5_10 ),
inference(sat_conversion,[],[f207]) ).
cnf(s28,plain,
( spl5_1
| ~ spl5_6
| ~ spl5_8
| ~ spl5_9
| ~ spl5_10 ),
inference(sat_conversion,[],[f208]) ).
cnf(s29,plain,
( ~ spl5_1
| spl5_7
| ~ spl5_8
| ~ spl5_10 ),
inference(sat_conversion,[],[f209]) ).
cnf(s30,plain,
( spl5_1
| spl5_6
| ~ spl5_8
| ~ spl5_10 ),
inference(sat_conversion,[],[f210]) ).
cnf(s33,plain,
( spl5_5
| ~ spl5_10
| ~ spl5_11
| spl5_12 ),
inference(sat_conversion,[],[f225]) ).
cnf(s34,plain,
( ~ spl5_5
| ~ spl5_9
| ~ spl5_11
| spl5_12 ),
inference(sat_conversion,[],[f226]) ).
cnf(s35,plain,
( spl5_5
| ~ spl5_10
| ~ spl5_11
| ~ spl5_12
| spl5_13 ),
inference(sat_conversion,[],[f227]) ).
cnf(s36,plain,
( ~ spl5_5
| ~ spl5_9
| ~ spl5_11
| ~ spl5_12
| spl5_13 ),
inference(sat_conversion,[],[f228]) ).
cnf(s37,plain,
( spl5_5
| spl5_10
| spl5_11
| ~ spl5_12
| spl5_13 ),
inference(sat_conversion,[],[f229]) ).
cnf(s38,plain,
( ~ spl5_5
| spl5_9
| spl5_11
| ~ spl5_12
| spl5_13 ),
inference(sat_conversion,[],[f230]) ).
cnf(s39,plain,
( spl5_5
| spl5_10
| spl5_11
| ~ spl5_13 ),
inference(sat_conversion,[],[f231]) ).
cnf(s40,plain,
( ~ spl5_5
| spl5_9
| spl5_11
| ~ spl5_13 ),
inference(sat_conversion,[],[f232]) ).
cnf(s45,plain,
( spl5_8
| spl5_12
| spl5_14
| spl5_15 ),
inference(sat_conversion,[],[f249]) ).
cnf(s46,plain,
( ~ spl5_8
| spl5_13
| spl5_14
| spl5_15 ),
inference(sat_conversion,[],[f250]) ).
cnf(s47,plain,
( spl5_8
| spl5_12
| spl5_14
| ~ spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f251]) ).
cnf(s48,plain,
( ~ spl5_8
| spl5_13
| spl5_14
| ~ spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f252]) ).
cnf(s49,plain,
( spl5_8
| ~ spl5_12
| ~ spl5_14
| ~ spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f253]) ).
cnf(s50,plain,
( ~ spl5_8
| ~ spl5_13
| ~ spl5_14
| ~ spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f254]) ).
cnf(s51,plain,
( spl5_8
| ~ spl5_12
| ~ spl5_14
| ~ spl5_16 ),
inference(sat_conversion,[],[f255]) ).
cnf(s52,plain,
( ~ spl5_8
| ~ spl5_13
| ~ spl5_14
| ~ spl5_16 ),
inference(sat_conversion,[],[f256]) ).
cnf(s57,plain,
( spl5_11
| spl5_12
| ~ spl5_14
| spl5_15 ),
inference(sat_conversion,[],[f261]) ).
cnf(s58,plain,
( ~ spl5_11
| spl5_13
| ~ spl5_14
| spl5_15 ),
inference(sat_conversion,[],[f262]) ).
cnf(s59,plain,
( spl5_11
| ~ spl5_12
| spl5_14
| spl5_16 ),
inference(sat_conversion,[],[f263]) ).
cnf(s60,plain,
( ~ spl5_11
| ~ spl5_13
| spl5_14
| spl5_16 ),
inference(sat_conversion,[],[f264]) ).
cnf(s61,plain,
( spl5_11
| ~ spl5_12
| ~ spl5_14
| spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f265]) ).
cnf(s62,plain,
( ~ spl5_11
| ~ spl5_13
| ~ spl5_14
| spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f266]) ).
cnf(s63,plain,
( spl5_11
| spl5_12
| spl5_14
| ~ spl5_15
| ~ spl5_16 ),
inference(sat_conversion,[],[f267]) ).
cnf(s64,plain,
( ~ spl5_11
| spl5_13
| spl5_14
| ~ spl5_15
| ~ spl5_16 ),
inference(sat_conversion,[],[f268]) ).
cnf(s65,plain,
( spl5_11
| spl5_12
| ~ spl5_14
| ~ spl5_15 ),
inference(sat_conversion,[],[f269]) ).
cnf(s66,plain,
( ~ spl5_11
| spl5_13
| ~ spl5_14
| ~ spl5_15 ),
inference(sat_conversion,[],[f270]) ).
cnf(s67,plain,
( spl5_11
| ~ spl5_12
| spl5_14
| ~ spl5_16 ),
inference(sat_conversion,[],[f271]) ).
cnf(s68,plain,
( ~ spl5_11
| ~ spl5_13
| spl5_14
| ~ spl5_16 ),
inference(sat_conversion,[],[f272]) ).
cnf(s71,plain,
( spl5_14
| spl5_12
| spl5_11
| spl5_8 ),
inference(rat,[],[s63,s47,s45]) ).
cnf(s72,plain,
( ~ spl5_14
| spl5_12
| spl5_11 ),
inference(rat,[],[s65,s57]) ).
cnf(s73,plain,
( spl5_12
| spl5_11
| spl5_8 ),
inference(rat,[],[s72,s71]) ).
cnf(s74,plain,
( spl5_14
| ~ spl5_12
| spl5_11 ),
inference(rat,[],[s59,s67]) ).
cnf(s75,plain,
( spl5_11
| spl5_8 ),
inference(rat,[],[s61,s49,s51,s74,s73]) ).
cnf(s76,plain,
( spl5_14
| ~ spl5_13
| ~ spl5_11 ),
inference(rat,[],[s60,s68]) ).
cnf(s77,plain,
( ~ spl5_10
| spl5_8
| spl5_5 ),
inference(rat,[],[s62,s49,s51,s76,s35,s33,s75]) ).
cnf(s78,plain,
( spl5_10
| spl5_8
| spl5_1
| spl5_6 ),
inference(rat,[],[s22,s24]) ).
cnf(s79,plain,
( spl5_8
| spl5_6
| spl5_5
| spl5_1 ),
inference(rat,[],[s78,s77]) ).
cnf(s80,plain,
( spl5_11
| spl5_10
| ~ spl5_8
| spl5_5 ),
inference(rat,[],[s48,s63,s46,s72,s37,s39]) ).
cnf(s81,plain,
( ~ spl5_13
| ~ spl5_11
| ~ spl5_8 ),
inference(rat,[],[s62,s50,s52,s76]) ).
cnf(s82,plain,
( spl5_14
| ~ spl5_11
| ~ spl5_8 ),
inference(rat,[],[s48,s64,s46,s81]) ).
cnf(s83,plain,
( ~ spl5_14
| spl5_13
| ~ spl5_11 ),
inference(rat,[],[s58,s66]) ).
cnf(s84,plain,
( ~ spl5_11
| ~ spl5_8 ),
inference(rat,[],[s83,s82,s81]) ).
cnf(s85,plain,
( spl5_10
| spl5_5
| ~ spl5_8 ),
inference(rat,[],[s84,s80]) ).
cnf(s86,plain,
( spl5_6
| spl5_5
| spl5_1 ),
inference(rat,[],[s85,s30,s79]) ).
cnf(s87,plain,
( spl5_5
| spl5_4
| spl5_3
| spl5_1 ),
inference(rat,[],[s86,s8]) ).
cnf(s88,plain,
( spl5_6
| ~ spl5_5
| spl5_3
| spl5_4 ),
inference(rat,[],[s14,s16]) ).
cnf(s89,plain,
( spl5_8
| ~ spl5_6
| ~ spl5_5
| spl5_1 ),
inference(rat,[],[s62,s49,s51,s76,s36,s34,s20,s75]) ).
cnf(s90,plain,
( spl5_13
| spl5_14
| ~ spl5_8 ),
inference(rat,[],[s48,s63,s46,s74,s84]) ).
cnf(s91,plain,
( ~ spl5_9
| ~ spl5_8
| spl5_1
| ~ spl5_6 ),
inference(rat,[],[s26,s28]) ).
cnf(s92,plain,
( ~ spl5_6
| ~ spl5_5
| spl5_1 ),
inference(rat,[],[s72,s90,s38,s40,s91,s84,s89]) ).
cnf(s93,plain,
( spl5_4
| spl5_3
| spl5_1 ),
inference(rat,[],[s92,s88,s87]) ).
cnf(s94,plain,
( spl5_3
| spl5_2
| spl5_1 ),
inference(rat,[],[s93,s3]) ).
cnf(s95,plain,
( spl5_5
| spl5_2
| spl5_1 ),
inference(rat,[],[s86,s7,s94]) ).
cnf(s96,plain,
( spl5_6
| ~ spl5_5
| spl5_2
| ~ spl5_3 ),
inference(rat,[],[s13,s15]) ).
cnf(s97,plain,
( spl5_2
| spl5_1 ),
inference(rat,[],[s96,s92,s95,s94]) ).
cnf(s98,plain,
( spl5_3
| ~ spl5_2
| spl5_1 ),
inference(rat,[],[s93,s2]) ).
cnf(s99,plain,
( ~ spl5_2
| spl5_1 ),
inference(rat,[],[s98,s1]) ).
cnf(s100,plain,
spl5_1,
inference(rat,[],[s99,s97]) ).
cnf(s101,plain,
( spl5_10
| spl5_8
| spl5_7 ),
inference(rat,[],[s21,s23,s100]) ).
cnf(s102,plain,
( spl5_8
| spl5_7
| spl5_5 ),
inference(rat,[],[s101,s77]) ).
cnf(s103,plain,
( spl5_7
| spl5_5 ),
inference(rat,[],[s29,s85,s102,s100]) ).
cnf(s104,plain,
( ~ spl5_7
| ~ spl5_4
| spl5_5
| spl5_3 ),
inference(rat,[],[s10,s12]) ).
cnf(s105,plain,
( spl5_3
| spl5_5 ),
inference(rat,[],[s104,s6,s103,s100]) ).
cnf(s106,plain,
( spl5_2
| ~ spl5_3 ),
inference(rat,[],[s4,s5,s100]) ).
cnf(s107,plain,
( ~ spl5_2
| ~ spl5_7
| ~ spl5_3
| spl5_5 ),
inference(rat,[],[s9,s11]) ).
cnf(s108,plain,
spl5_5,
inference(rat,[],[s107,s106,s105,s103]) ).
cnf(s109,plain,
( spl5_8
| ~ spl5_7 ),
inference(rat,[],[s62,s49,s51,s76,s36,s34,s75,s19,s100,s108]) ).
cnf(s110,plain,
( spl5_9
| ~ spl5_8 ),
inference(rat,[],[s72,s90,s38,s40,s84,s108]) ).
cnf(s111,plain,
( ~ spl5_9
| ~ spl5_8
| ~ spl5_7 ),
inference(rat,[],[s25,s27,s100]) ).
cnf(s112,plain,
~ spl5_7,
inference(rat,[],[s111,s110,s109]) ).
cnf(s113,plain,
spl5_3,
inference(rat,[],[s18,s6,s108,s112,s100]) ).
cnf(s114,plain,
spl5_2,
inference(rat,[],[s106,s113]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s17,s108,s112,s114,s113]) ).
tff(f275,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO500_8.005 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 17:44:40 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.26 % (2629104)Will run a generic schedule for satisfiability detection.
% 0.18/0.26 % (2629110)% WARNING: option uhcvi not known.
% 0.18/0.26 % (2629110)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2077480001:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.26 % (2629110) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2629104-2629110"...
% 0.18/0.26 % (2629110)...printing done.
% 0.18/0.26 % (2629110)Refutation found. Thanks to Tanya!
% 0.18/0.26 % SZS status Theorem for theBenchmark
% 0.18/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.26 % (2629110)------------------------------
% 0.18/0.26 % (2629110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.26 % (2629110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.26 % (2629110)CaDiCaL version: 2.1.3
% 0.18/0.26 % (2629110)Termination reason: Refutation
% 0.18/0.26 % (2629110)Time elapsed: 0.003 s
% 0.18/0.26 % (2629110)Peak memory usage: 12 MB
% 0.18/0.26 % (2629110)Instructions burned: 7 (million)
% 0.18/0.26 % (2629104)Success in time 0.036 s
% 0.18/0.26 % Vampire exiting
%------------------------------------------------------------------------------