%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO500_8.007 : 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 : n004.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 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 23
% Syntax : Number of formulae : 412 ( 9 unt; 0 typ; 22 def)
% Number of atoms : 2194 ( 2 equ)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 2066 ( 794 ~;1248 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 510 ( 510 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 40 ( 37 usr; 32 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 > $o ).
tff(f1,conjecture,
f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(x))))))))))))) = f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(x))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski7) ).
tff(f2,negated_conjecture,
f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(x))))))))))))) != f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(x))))))))))))))),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(x)))))))))))))
<=> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(x))))))))))))))) ),
inference(flattening,[],[f2]) ).
tff(f4,plain,
( f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(x)))))))))))))
<~> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(x))))))))))))))) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ~ x
| ~ f6($true)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
( x
| ~ f6($false)
| ~ f6($true)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( x
| f6($true)
| ~ f6($false)
| sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
( ~ x
| ~ f6($false)
| f6($true)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f9,plain,
( ~ x
| f6($true)
| f6($false)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f10,plain,
( x
| f6($false)
| ~ sP6 ),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
( ~ x
| f6($true)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f12,plain,
( x
| f6($false)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f13,plain,
( ~ x
| ~ f6($true)
| f5($true)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f14,plain,
( x
| ~ f6($false)
| f5($true)
| f5($false)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f15,plain,
( ~ x
| ~ f6($true)
| ~ f5($false)
| f5($true)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f16,plain,
( x
| ~ f6($false)
| ~ f5($false)
| f5($true)
| ~ sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f17,plain,
( ~ x
| f6($true)
| f5($true)
| ~ f5($false)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f18,plain,
( x
| f6($false)
| f5($true)
| ~ f5($false)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f19,plain,
( ~ x
| f6($true)
| ~ f5($false)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f20,plain,
( x
| f6($false)
| ~ f5($false)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f21,plain,
( ~ x
| ~ f6($true)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f22,plain,
( x
| ~ f6($false)
| ~ f5($true)
| sP5 ),
inference(cnf_transformation,[],[f4]) ).
tff(f23,plain,
( ~ sP6
| f5($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f24,plain,
( sP6
| f5($false)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f25,plain,
( ~ sP6
| ~ f5($true)
| f4($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f26,plain,
( sP6
| ~ f5($false)
| f4($true)
| f4($false)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f27,plain,
( ~ sP6
| ~ f5($true)
| ~ f4($false)
| f4($true)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f28,plain,
( sP6
| ~ f5($false)
| ~ f4($false)
| f4($true)
| ~ sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f29,plain,
( ~ sP6
| f5($true)
| f4($true)
| ~ f4($false)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f30,plain,
( sP6
| f5($false)
| f4($true)
| ~ f4($false)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f31,plain,
( ~ sP6
| f5($true)
| ~ f4($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f32,plain,
( sP6
| f5($false)
| ~ f4($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f33,plain,
( ~ sP6
| ~ f5($true)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f34,plain,
( sP6
| ~ f5($false)
| ~ f4($true)
| sP4 ),
inference(cnf_transformation,[],[f4]) ).
tff(f35,plain,
( ~ sP5
| f4($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f36,plain,
( sP5
| f4($false)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f37,plain,
( ~ sP5
| ~ f4($true)
| f3($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f38,plain,
( sP5
| ~ f4($false)
| f3($true)
| f3($false)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f39,plain,
( ~ sP5
| ~ f4($true)
| ~ f3($false)
| f3($true)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f40,plain,
( sP5
| ~ f4($false)
| ~ f3($false)
| f3($true)
| ~ sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f41,plain,
( ~ sP5
| f4($true)
| f3($true)
| ~ f3($false)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f42,plain,
( sP5
| f4($false)
| f3($true)
| ~ f3($false)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f43,plain,
( ~ sP5
| f4($true)
| ~ f3($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f44,plain,
( sP5
| f4($false)
| ~ f3($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f45,plain,
( ~ sP5
| ~ f4($true)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f46,plain,
( sP5
| ~ f4($false)
| ~ f3($true)
| sP3 ),
inference(cnf_transformation,[],[f4]) ).
tff(f47,plain,
( ~ sP4
| f3($true)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f48,plain,
( sP4
| f3($false)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f49,plain,
( ~ sP4
| ~ f3($true)
| f2($true)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f50,plain,
( sP4
| ~ f3($false)
| f2($true)
| f2($false)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f51,plain,
( ~ sP4
| ~ f3($true)
| ~ f2($false)
| f2($true)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f52,plain,
( sP4
| ~ f3($false)
| ~ f2($false)
| f2($true)
| ~ sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f53,plain,
( ~ sP4
| f3($true)
| f2($true)
| ~ f2($false)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f54,plain,
( sP4
| f3($false)
| f2($true)
| ~ f2($false)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f55,plain,
( ~ sP4
| f3($true)
| ~ f2($false)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f56,plain,
( sP4
| f3($false)
| ~ f2($false)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f57,plain,
( ~ sP4
| ~ f3($true)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f58,plain,
( sP4
| ~ f3($false)
| ~ f2($true)
| sP2 ),
inference(cnf_transformation,[],[f4]) ).
tff(f61,plain,
( ~ sP3
| ~ f2($true)
| ~ f1($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f62,plain,
( sP3
| ~ f2($false)
| ~ f1($true)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f63,plain,
( ~ sP3
| ~ f2($true)
| f1($true)
| ~ f1($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f64,plain,
( sP3
| ~ f2($false)
| f1($true)
| ~ f1($false)
| sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f65,plain,
( ~ sP3
| f2($true)
| ~ f1($false)
| f1($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f66,plain,
( sP3
| f2($false)
| ~ f1($false)
| f1($true)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f67,plain,
( ~ sP3
| f2($true)
| f1($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f68,plain,
( sP3
| f2($false)
| f1($false)
| ~ sP1 ),
inference(cnf_transformation,[],[f4]) ).
tff(f73,plain,
( ~ sP2
| ~ f1($true)
| ~ f0($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f74,plain,
( sP2
| ~ f1($false)
| ~ f0($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f75,plain,
( ~ sP2
| ~ f1($true)
| f0($true)
| ~ f0($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f76,plain,
( sP2
| ~ f1($false)
| f0($true)
| ~ f0($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f77,plain,
( ~ sP2
| f1($true)
| ~ f0($false)
| f0($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f78,plain,
( sP2
| f1($false)
| ~ f0($false)
| f0($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f79,plain,
( ~ sP2
| f1($true)
| f0($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f80,plain,
( sP2
| f1($false)
| f0($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f85,plain,
( ~ sP0
| ~ sP1
| ~ f1($true)
| ~ f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f86,plain,
( ~ sP0
| sP1
| ~ f1($false)
| ~ f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f87,plain,
( sP0
| ~ sP1
| f1($true)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f88,plain,
( sP0
| sP1
| f1($false)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f89,plain,
( ~ sP0
| ~ f0($true)
| ~ sP1
| f1($true)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f90,plain,
( ~ sP0
| ~ f0($true)
| sP1
| f1($false)
| ~ f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f91,plain,
( sP0
| f0($false)
| ~ sP1
| ~ f1($true)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f92,plain,
( sP0
| f0($false)
| sP1
| ~ f1($false)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f93,plain,
( ~ sP0
| ~ sP1
| ~ f1($true)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f94,plain,
( ~ sP0
| sP1
| ~ f1($false)
| f0($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f95,plain,
( sP0
| ~ sP1
| f1($true)
| f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f96,plain,
( sP0
| sP1
| f1($false)
| f0($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f103,plain,
( ~ sP0
| ~ sP1
| ~ f1($false)
| ~ f0($false) ),
inference(consistent_polarity_flipping,[],[f96]) ).
tff(f104,plain,
( ~ sP0
| sP1
| ~ f1($true)
| ~ f0($false) ),
inference(consistent_polarity_flipping,[],[f95]) ).
tff(f105,plain,
( sP0
| ~ sP1
| f1($false)
| ~ f0($true) ),
inference(consistent_polarity_flipping,[],[f94]) ).
tff(f106,plain,
( sP0
| sP1
| f1($true)
| ~ f0($true) ),
inference(consistent_polarity_flipping,[],[f93]) ).
tff(f107,plain,
( ~ sP0
| ~ f0($false)
| ~ sP1
| f1($false)
| ~ f0($true) ),
inference(consistent_polarity_flipping,[],[f92]) ).
tff(f108,plain,
( ~ sP0
| ~ f0($false)
| sP1
| f1($true)
| ~ f0($true) ),
inference(consistent_polarity_flipping,[],[f91]) ).
tff(f109,plain,
( sP0
| f0($true)
| ~ sP1
| ~ f1($false)
| f0($false) ),
inference(consistent_polarity_flipping,[],[f90]) ).
tff(f110,plain,
( sP0
| f0($true)
| sP1
| ~ f1($true)
| f0($false) ),
inference(consistent_polarity_flipping,[],[f89]) ).
tff(f111,plain,
( ~ sP0
| ~ sP1
| ~ f1($false)
| f0($false) ),
inference(consistent_polarity_flipping,[],[f88]) ).
tff(f112,plain,
( ~ sP0
| sP1
| ~ f1($true)
| f0($false) ),
inference(consistent_polarity_flipping,[],[f87]) ).
tff(f113,plain,
( sP0
| ~ sP1
| f1($false)
| f0($true) ),
inference(consistent_polarity_flipping,[],[f86]) ).
tff(f114,plain,
( sP0
| sP1
| f1($true)
| f0($true) ),
inference(consistent_polarity_flipping,[],[f85]) ).
tff(f119,plain,
( ~ sP2
| ~ f1($false)
| ~ f0($false)
| sP0 ),
inference(consistent_polarity_flipping,[],[f80]) ).
tff(f120,plain,
( sP2
| ~ f1($true)
| ~ f0($false)
| sP0 ),
inference(consistent_polarity_flipping,[],[f79]) ).
tff(f121,plain,
( ~ sP2
| ~ f1($false)
| f0($false)
| ~ f0($true)
| sP0 ),
inference(consistent_polarity_flipping,[],[f78]) ).
tff(f122,plain,
( sP2
| ~ f1($true)
| f0($false)
| ~ f0($true)
| sP0 ),
inference(consistent_polarity_flipping,[],[f77]) ).
tff(f123,plain,
( ~ sP2
| f1($false)
| ~ f0($true)
| f0($false)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
tff(f124,plain,
( sP2
| f1($true)
| ~ f0($true)
| f0($false)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f75]) ).
tff(f125,plain,
( ~ sP2
| f1($false)
| f0($true)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f74]) ).
tff(f126,plain,
( sP2
| f1($true)
| f0($true)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f73]) ).
tff(f131,plain,
( sP3
| f2($false)
| ~ f1($false)
| sP1 ),
inference(consistent_polarity_flipping,[],[f68]) ).
tff(f132,plain,
( ~ sP3
| f2($true)
| ~ f1($false)
| sP1 ),
inference(consistent_polarity_flipping,[],[f67]) ).
tff(f133,plain,
( sP3
| f2($false)
| f1($false)
| ~ f1($true)
| sP1 ),
inference(consistent_polarity_flipping,[],[f66]) ).
tff(f134,plain,
( ~ sP3
| f2($true)
| f1($false)
| ~ f1($true)
| sP1 ),
inference(consistent_polarity_flipping,[],[f65]) ).
tff(f135,plain,
( sP3
| ~ f2($false)
| ~ f1($true)
| f1($false)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f64]) ).
tff(f136,plain,
( ~ sP3
| ~ f2($true)
| ~ f1($true)
| f1($false)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f63]) ).
tff(f137,plain,
( sP3
| ~ f2($false)
| f1($true)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f62]) ).
tff(f138,plain,
( ~ sP3
| ~ f2($true)
| f1($true)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f61]) ).
tff(f141,plain,
( ~ sP4
| ~ f3($false)
| ~ f2($true)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f58]) ).
tff(f142,plain,
( sP4
| ~ f3($true)
| ~ f2($true)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f57]) ).
tff(f143,plain,
( ~ sP4
| f3($false)
| ~ f2($false)
| ~ f2($true)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f56]) ).
tff(f144,plain,
( sP4
| f3($true)
| ~ f2($false)
| ~ f2($true)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f55]) ).
tff(f145,plain,
( ~ sP4
| f3($false)
| f2($true)
| ~ f2($false)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f54]) ).
tff(f146,plain,
( sP4
| f3($true)
| f2($true)
| ~ f2($false)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f53]) ).
tff(f147,plain,
( ~ sP4
| ~ f3($false)
| ~ f2($false)
| f2($true)
| sP2 ),
inference(consistent_polarity_flipping,[],[f52]) ).
tff(f148,plain,
( sP4
| ~ f3($true)
| ~ f2($false)
| f2($true)
| sP2 ),
inference(consistent_polarity_flipping,[],[f51]) ).
tff(f149,plain,
( ~ sP4
| ~ f3($false)
| f2($true)
| f2($false)
| sP2 ),
inference(consistent_polarity_flipping,[],[f50]) ).
tff(f150,plain,
( sP4
| ~ f3($true)
| f2($true)
| f2($false)
| sP2 ),
inference(consistent_polarity_flipping,[],[f49]) ).
tff(f151,plain,
( ~ sP4
| f3($false)
| f2($false)
| sP2 ),
inference(consistent_polarity_flipping,[],[f48]) ).
tff(f152,plain,
( sP4
| f3($true)
| f2($false)
| sP2 ),
inference(consistent_polarity_flipping,[],[f47]) ).
tff(f153,plain,
( sP6
| ~ f5($false)
| ~ f4($true)
| ~ sP4 ),
inference(consistent_polarity_flipping,[],[f34]) ).
tff(f154,plain,
( ~ sP6
| ~ f5($true)
| ~ f4($true)
| ~ sP4 ),
inference(consistent_polarity_flipping,[],[f33]) ).
tff(f155,plain,
( sP6
| f5($false)
| ~ f4($false)
| ~ f4($true)
| ~ sP4 ),
inference(consistent_polarity_flipping,[],[f32]) ).
tff(f156,plain,
( ~ sP6
| f5($true)
| ~ f4($false)
| ~ f4($true)
| ~ sP4 ),
inference(consistent_polarity_flipping,[],[f31]) ).
tff(f157,plain,
( sP6
| f5($false)
| f4($true)
| ~ f4($false)
| ~ sP4 ),
inference(consistent_polarity_flipping,[],[f30]) ).
tff(f158,plain,
( ~ sP6
| f5($true)
| f4($true)
| ~ f4($false)
| ~ sP4 ),
inference(consistent_polarity_flipping,[],[f29]) ).
tff(f159,plain,
( sP6
| ~ f5($false)
| ~ f4($false)
| f4($true)
| sP4 ),
inference(consistent_polarity_flipping,[],[f28]) ).
tff(f160,plain,
( ~ sP6
| ~ f5($true)
| ~ f4($false)
| f4($true)
| sP4 ),
inference(consistent_polarity_flipping,[],[f27]) ).
tff(f161,plain,
( sP6
| ~ f5($false)
| f4($true)
| f4($false)
| sP4 ),
inference(consistent_polarity_flipping,[],[f26]) ).
tff(f162,plain,
( ~ sP6
| ~ f5($true)
| f4($true)
| f4($false)
| sP4 ),
inference(consistent_polarity_flipping,[],[f25]) ).
tff(f163,plain,
( sP6
| f5($false)
| f4($false)
| sP4 ),
inference(consistent_polarity_flipping,[],[f24]) ).
tff(f164,plain,
( ~ sP6
| f5($true)
| f4($false)
| sP4 ),
inference(consistent_polarity_flipping,[],[f23]) ).
tff(f165,plain,
( ~ x
| f6($false)
| ~ f5($true)
| sP5 ),
inference(consistent_polarity_flipping,[],[f22]) ).
tff(f166,plain,
( x
| f6($true)
| ~ f5($true)
| sP5 ),
inference(consistent_polarity_flipping,[],[f21]) ).
tff(f167,plain,
( ~ x
| ~ f6($false)
| ~ f5($false)
| ~ f5($true)
| sP5 ),
inference(consistent_polarity_flipping,[],[f20]) ).
tff(f168,plain,
( x
| ~ f6($true)
| ~ f5($false)
| ~ f5($true)
| sP5 ),
inference(consistent_polarity_flipping,[],[f19]) ).
tff(f169,plain,
( ~ x
| ~ f6($false)
| f5($true)
| ~ f5($false)
| sP5 ),
inference(consistent_polarity_flipping,[],[f18]) ).
tff(f170,plain,
( x
| ~ f6($true)
| f5($true)
| ~ f5($false)
| sP5 ),
inference(consistent_polarity_flipping,[],[f17]) ).
tff(f171,plain,
( ~ x
| f6($false)
| ~ f5($false)
| f5($true)
| ~ sP5 ),
inference(consistent_polarity_flipping,[],[f16]) ).
tff(f172,plain,
( x
| f6($true)
| ~ f5($false)
| f5($true)
| ~ sP5 ),
inference(consistent_polarity_flipping,[],[f15]) ).
tff(f173,plain,
( ~ x
| f6($false)
| f5($true)
| f5($false)
| ~ sP5 ),
inference(consistent_polarity_flipping,[],[f14]) ).
tff(f174,plain,
( x
| f6($true)
| f5($true)
| f5($false)
| ~ sP5 ),
inference(consistent_polarity_flipping,[],[f13]) ).
tff(f175,plain,
( ~ x
| ~ f6($false)
| f5($false)
| ~ sP5 ),
inference(consistent_polarity_flipping,[],[f12]) ).
tff(f176,plain,
( x
| ~ f6($true)
| f5($false)
| ~ sP5 ),
inference(consistent_polarity_flipping,[],[f11]) ).
tff(f177,plain,
( ~ x
| ~ f6($false)
| ~ sP6 ),
inference(consistent_polarity_flipping,[],[f10]) ).
tff(f178,plain,
( x
| ~ f6($true)
| ~ f6($false)
| ~ sP6 ),
inference(consistent_polarity_flipping,[],[f9]) ).
tff(f179,plain,
( x
| f6($false)
| ~ f6($true)
| ~ sP6 ),
inference(consistent_polarity_flipping,[],[f8]) ).
tff(f180,plain,
( ~ x
| ~ f6($true)
| f6($false)
| sP6 ),
inference(consistent_polarity_flipping,[],[f7]) ).
tff(f181,plain,
( ~ x
| f6($false)
| f6($true)
| sP6 ),
inference(consistent_polarity_flipping,[],[f6]) ).
tff(f182,plain,
( x
| f6($true)
| sP6 ),
inference(consistent_polarity_flipping,[],[f5]) ).
tff(f184,definition,
( spl7_1
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
tff(f188,definition,
( spl7_2
<=> f6($true) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
tff(f192,definition,
( spl7_3
<=> x ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
tff(f195,plain,
( spl7_1
| spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f182,f192,f188,f184]) ).
tff(f197,definition,
( spl7_4
<=> f6($false) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
tff(f200,plain,
( spl7_1
| spl7_2
| spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f181,f192,f197,f188,f184]) ).
tff(f201,plain,
( spl7_1
| spl7_4
| ~ spl7_2
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f180,f192,f188,f197,f184]) ).
tff(f202,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_4
| spl7_3 ),
inference(avatar_split_clause,[],[f179,f192,f197,f188,f184]) ).
tff(f203,plain,
( ~ spl7_1
| ~ spl7_4
| ~ spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f178,f192,f188,f197,f184]) ).
tff(f204,plain,
( ~ spl7_1
| ~ spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f177,f192,f197,f184]) ).
tff(f206,definition,
( spl7_5
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
tff(f210,definition,
( spl7_6
<=> f5($false) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
tff(f213,plain,
( ~ spl7_5
| spl7_6
| ~ spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f176,f192,f188,f210,f206]) ).
tff(f214,plain,
( ~ spl7_5
| spl7_6
| ~ spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f175,f192,f197,f210,f206]) ).
tff(f216,definition,
( spl7_7
<=> f5($true) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
tff(f219,plain,
( ~ spl7_5
| spl7_6
| spl7_7
| spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f174,f192,f188,f216,f210,f206]) ).
tff(f220,plain,
( ~ spl7_5
| spl7_6
| spl7_7
| spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f173,f192,f197,f216,f210,f206]) ).
tff(f221,plain,
( ~ spl7_5
| spl7_7
| ~ spl7_6
| spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f172,f192,f188,f210,f216,f206]) ).
tff(f222,plain,
( ~ spl7_5
| spl7_7
| ~ spl7_6
| spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f171,f192,f197,f210,f216,f206]) ).
tff(f223,plain,
( spl7_5
| ~ spl7_6
| spl7_7
| ~ spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f170,f192,f188,f216,f210,f206]) ).
tff(f224,plain,
( spl7_5
| ~ spl7_6
| spl7_7
| ~ spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f169,f192,f197,f216,f210,f206]) ).
tff(f225,plain,
( spl7_5
| ~ spl7_7
| ~ spl7_6
| ~ spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f168,f192,f188,f210,f216,f206]) ).
tff(f226,plain,
( spl7_5
| ~ spl7_7
| ~ spl7_6
| ~ spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f167,f192,f197,f210,f216,f206]) ).
tff(f227,plain,
( spl7_5
| ~ spl7_7
| spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f166,f192,f188,f216,f206]) ).
tff(f228,plain,
( spl7_5
| ~ spl7_7
| spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f165,f192,f197,f216,f206]) ).
tff(f230,definition,
( spl7_8
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
tff(f234,definition,
( spl7_9
<=> f4($false) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
tff(f237,plain,
( spl7_8
| spl7_9
| spl7_7
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f164,f184,f216,f234,f230]) ).
tff(f238,plain,
( spl7_8
| spl7_9
| spl7_6
| spl7_1 ),
inference(avatar_split_clause,[],[f163,f184,f210,f234,f230]) ).
tff(f240,definition,
( spl7_10
<=> f4($true) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
tff(f243,plain,
( spl7_8
| spl7_9
| spl7_10
| ~ spl7_7
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f162,f184,f216,f240,f234,f230]) ).
tff(f244,plain,
( spl7_8
| spl7_9
| spl7_10
| ~ spl7_6
| spl7_1 ),
inference(avatar_split_clause,[],[f161,f184,f210,f240,f234,f230]) ).
tff(f245,plain,
( spl7_8
| spl7_10
| ~ spl7_9
| ~ spl7_7
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f160,f184,f216,f234,f240,f230]) ).
tff(f246,plain,
( spl7_8
| spl7_10
| ~ spl7_9
| ~ spl7_6
| spl7_1 ),
inference(avatar_split_clause,[],[f159,f184,f210,f234,f240,f230]) ).
tff(f247,plain,
( ~ spl7_8
| ~ spl7_9
| spl7_10
| spl7_7
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f158,f184,f216,f240,f234,f230]) ).
tff(f248,plain,
( ~ spl7_8
| ~ spl7_9
| spl7_10
| spl7_6
| spl7_1 ),
inference(avatar_split_clause,[],[f157,f184,f210,f240,f234,f230]) ).
tff(f249,plain,
( ~ spl7_8
| ~ spl7_10
| ~ spl7_9
| spl7_7
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f156,f184,f216,f234,f240,f230]) ).
tff(f250,plain,
( ~ spl7_8
| ~ spl7_10
| ~ spl7_9
| spl7_6
| spl7_1 ),
inference(avatar_split_clause,[],[f155,f184,f210,f234,f240,f230]) ).
tff(f251,plain,
( ~ spl7_8
| ~ spl7_10
| ~ spl7_7
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f154,f184,f216,f240,f230]) ).
tff(f252,plain,
( ~ spl7_8
| ~ spl7_10
| ~ spl7_6
| spl7_1 ),
inference(avatar_split_clause,[],[f153,f184,f210,f240,f230]) ).
tff(f254,definition,
( spl7_11
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
tff(f258,definition,
( spl7_12
<=> f3($false) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
tff(f261,plain,
( ~ spl7_11
| spl7_12
| spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f35,f206,f240,f258,f254]) ).
tff(f262,plain,
( ~ spl7_11
| spl7_12
| spl7_9
| spl7_5 ),
inference(avatar_split_clause,[],[f36,f206,f234,f258,f254]) ).
tff(f264,definition,
( spl7_13
<=> f3($true) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
tff(f267,plain,
( ~ spl7_11
| spl7_12
| spl7_13
| ~ spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f37,f206,f240,f264,f258,f254]) ).
tff(f268,plain,
( ~ spl7_11
| spl7_12
| spl7_13
| ~ spl7_9
| spl7_5 ),
inference(avatar_split_clause,[],[f38,f206,f234,f264,f258,f254]) ).
tff(f269,plain,
( ~ spl7_11
| spl7_13
| ~ spl7_12
| ~ spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f39,f206,f240,f258,f264,f254]) ).
tff(f270,plain,
( ~ spl7_11
| spl7_13
| ~ spl7_12
| ~ spl7_9
| spl7_5 ),
inference(avatar_split_clause,[],[f40,f206,f234,f258,f264,f254]) ).
tff(f271,plain,
( spl7_11
| ~ spl7_12
| spl7_13
| spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f41,f206,f240,f264,f258,f254]) ).
tff(f272,plain,
( spl7_11
| ~ spl7_12
| spl7_13
| spl7_9
| spl7_5 ),
inference(avatar_split_clause,[],[f42,f206,f234,f264,f258,f254]) ).
tff(f273,plain,
( spl7_11
| ~ spl7_13
| ~ spl7_12
| spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f43,f206,f240,f258,f264,f254]) ).
tff(f274,plain,
( spl7_11
| ~ spl7_13
| ~ spl7_12
| spl7_9
| spl7_5 ),
inference(avatar_split_clause,[],[f44,f206,f234,f258,f264,f254]) ).
tff(f275,plain,
( spl7_11
| ~ spl7_13
| ~ spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f45,f206,f240,f264,f254]) ).
tff(f276,plain,
( spl7_11
| ~ spl7_13
| ~ spl7_9
| spl7_5 ),
inference(avatar_split_clause,[],[f46,f206,f234,f264,f254]) ).
tff(f278,definition,
( spl7_14
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
tff(f282,definition,
( spl7_15
<=> f2($false) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
tff(f285,plain,
( spl7_14
| spl7_15
| spl7_13
| spl7_8 ),
inference(avatar_split_clause,[],[f152,f230,f264,f282,f278]) ).
tff(f286,plain,
( spl7_14
| spl7_15
| spl7_12
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f151,f230,f258,f282,f278]) ).
tff(f288,definition,
( spl7_16
<=> f2($true) ),
introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition]) ).
tff(f291,plain,
( spl7_14
| spl7_15
| spl7_16
| ~ spl7_13
| spl7_8 ),
inference(avatar_split_clause,[],[f150,f230,f264,f288,f282,f278]) ).
tff(f292,plain,
( spl7_14
| spl7_15
| spl7_16
| ~ spl7_12
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f149,f230,f258,f288,f282,f278]) ).
tff(f293,plain,
( spl7_14
| spl7_16
| ~ spl7_15
| ~ spl7_13
| spl7_8 ),
inference(avatar_split_clause,[],[f148,f230,f264,f282,f288,f278]) ).
tff(f294,plain,
( spl7_14
| spl7_16
| ~ spl7_15
| ~ spl7_12
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f147,f230,f258,f282,f288,f278]) ).
tff(f295,plain,
( ~ spl7_14
| ~ spl7_15
| spl7_16
| spl7_13
| spl7_8 ),
inference(avatar_split_clause,[],[f146,f230,f264,f288,f282,f278]) ).
tff(f296,plain,
( ~ spl7_14
| ~ spl7_15
| spl7_16
| spl7_12
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f145,f230,f258,f288,f282,f278]) ).
tff(f297,plain,
( ~ spl7_14
| ~ spl7_16
| ~ spl7_15
| spl7_13
| spl7_8 ),
inference(avatar_split_clause,[],[f144,f230,f264,f282,f288,f278]) ).
tff(f298,plain,
( ~ spl7_14
| ~ spl7_16
| ~ spl7_15
| spl7_12
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f143,f230,f258,f282,f288,f278]) ).
tff(f299,plain,
( ~ spl7_14
| ~ spl7_16
| ~ spl7_13
| spl7_8 ),
inference(avatar_split_clause,[],[f142,f230,f264,f288,f278]) ).
tff(f300,plain,
( ~ spl7_14
| ~ spl7_16
| ~ spl7_12
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f141,f230,f258,f288,f278]) ).
tff(f302,definition,
( spl7_17
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
tff(f306,definition,
( spl7_18
<=> f1($true) ),
introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).
tff(f310,definition,
( spl7_19
<=> f1($false) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
tff(f315,plain,
( ~ spl7_17
| spl7_18
| ~ spl7_16
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f138,f254,f288,f306,f302]) ).
tff(f316,plain,
( ~ spl7_17
| spl7_18
| ~ spl7_15
| spl7_11 ),
inference(avatar_split_clause,[],[f137,f254,f282,f306,f302]) ).
tff(f317,plain,
( ~ spl7_17
| spl7_19
| ~ spl7_18
| ~ spl7_16
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f136,f254,f288,f306,f310,f302]) ).
tff(f318,plain,
( ~ spl7_17
| spl7_19
| ~ spl7_18
| ~ spl7_15
| spl7_11 ),
inference(avatar_split_clause,[],[f135,f254,f282,f306,f310,f302]) ).
tff(f319,plain,
( spl7_17
| ~ spl7_18
| spl7_19
| spl7_16
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f134,f254,f288,f310,f306,f302]) ).
tff(f320,plain,
( spl7_17
| ~ spl7_18
| spl7_19
| spl7_15
| spl7_11 ),
inference(avatar_split_clause,[],[f133,f254,f282,f310,f306,f302]) ).
tff(f321,plain,
( spl7_17
| ~ spl7_19
| spl7_16
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f132,f254,f288,f310,f302]) ).
tff(f322,plain,
( spl7_17
| ~ spl7_19
| spl7_15
| spl7_11 ),
inference(avatar_split_clause,[],[f131,f254,f282,f310,f302]) ).
tff(f326,definition,
( spl7_20
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl7_20])],[avatar_definition]) ).
tff(f330,definition,
( spl7_21
<=> f0($true) ),
introduced(definition,[new_symbols(definition,[spl7_21])],[avatar_definition]) ).
tff(f334,definition,
( spl7_22
<=> f0($false) ),
introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition]) ).
tff(f339,plain,
( ~ spl7_20
| spl7_21
| spl7_18
| spl7_14 ),
inference(avatar_split_clause,[],[f126,f278,f306,f330,f326]) ).
tff(f340,plain,
( ~ spl7_20
| spl7_21
| spl7_19
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f125,f278,f310,f330,f326]) ).
tff(f341,plain,
( ~ spl7_20
| spl7_22
| ~ spl7_21
| spl7_18
| spl7_14 ),
inference(avatar_split_clause,[],[f124,f278,f306,f330,f334,f326]) ).
tff(f342,plain,
( ~ spl7_20
| spl7_22
| ~ spl7_21
| spl7_19
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f123,f278,f310,f330,f334,f326]) ).
tff(f343,plain,
( spl7_20
| ~ spl7_21
| spl7_22
| ~ spl7_18
| spl7_14 ),
inference(avatar_split_clause,[],[f122,f278,f306,f334,f330,f326]) ).
tff(f344,plain,
( spl7_20
| ~ spl7_21
| spl7_22
| ~ spl7_19
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f121,f278,f310,f334,f330,f326]) ).
tff(f345,plain,
( spl7_20
| ~ spl7_22
| ~ spl7_18
| spl7_14 ),
inference(avatar_split_clause,[],[f120,f278,f306,f334,f326]) ).
tff(f346,plain,
( spl7_20
| ~ spl7_22
| ~ spl7_19
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f119,f278,f310,f334,f326]) ).
tff(f351,plain,
( spl7_21
| spl7_18
| spl7_17
| spl7_20 ),
inference(avatar_split_clause,[],[f114,f326,f302,f306,f330]) ).
tff(f352,plain,
( spl7_21
| spl7_19
| ~ spl7_17
| spl7_20 ),
inference(avatar_split_clause,[],[f113,f326,f302,f310,f330]) ).
tff(f353,plain,
( spl7_22
| ~ spl7_18
| spl7_17
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f112,f326,f302,f306,f334]) ).
tff(f354,plain,
( spl7_22
| ~ spl7_19
| ~ spl7_17
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f111,f326,f302,f310,f334]) ).
tff(f355,plain,
( spl7_22
| ~ spl7_18
| spl7_17
| spl7_21
| spl7_20 ),
inference(avatar_split_clause,[],[f110,f326,f330,f302,f306,f334]) ).
tff(f356,plain,
( spl7_22
| ~ spl7_19
| ~ spl7_17
| spl7_21
| spl7_20 ),
inference(avatar_split_clause,[],[f109,f326,f330,f302,f310,f334]) ).
tff(f357,plain,
( ~ spl7_21
| spl7_18
| spl7_17
| ~ spl7_22
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f108,f326,f334,f302,f306,f330]) ).
tff(f358,plain,
( ~ spl7_21
| spl7_19
| ~ spl7_17
| ~ spl7_22
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f107,f326,f334,f302,f310,f330]) ).
tff(f359,plain,
( ~ spl7_21
| spl7_18
| spl7_17
| spl7_20 ),
inference(avatar_split_clause,[],[f106,f326,f302,f306,f330]) ).
tff(f360,plain,
( ~ spl7_21
| spl7_19
| ~ spl7_17
| spl7_20 ),
inference(avatar_split_clause,[],[f105,f326,f302,f310,f330]) ).
tff(f361,plain,
( ~ spl7_22
| ~ spl7_18
| spl7_17
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f104,f326,f302,f306,f334]) ).
tff(f362,plain,
( ~ spl7_22
| ~ spl7_19
| ~ spl7_17
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f103,f326,f302,f310,f334]) ).
cnf(s1,plain,
( spl7_1
| spl7_2
| spl7_3 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl7_1
| spl7_2
| ~ spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f200]) ).
cnf(s3,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f201]) ).
cnf(s4,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f202]) ).
cnf(s5,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_3
| ~ spl7_4 ),
inference(sat_conversion,[],[f203]) ).
cnf(s6,plain,
( ~ spl7_1
| ~ spl7_3
| ~ spl7_4 ),
inference(sat_conversion,[],[f204]) ).
cnf(s7,plain,
( ~ spl7_2
| spl7_3
| ~ spl7_5
| spl7_6 ),
inference(sat_conversion,[],[f213]) ).
cnf(s8,plain,
( ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| spl7_6 ),
inference(sat_conversion,[],[f214]) ).
cnf(s9,plain,
( spl7_2
| spl7_3
| ~ spl7_5
| spl7_6
| spl7_7 ),
inference(sat_conversion,[],[f219]) ).
cnf(s10,plain,
( ~ spl7_3
| spl7_4
| ~ spl7_5
| spl7_6
| spl7_7 ),
inference(sat_conversion,[],[f220]) ).
cnf(s11,plain,
( spl7_2
| spl7_3
| ~ spl7_5
| ~ spl7_6
| spl7_7 ),
inference(sat_conversion,[],[f221]) ).
cnf(s12,plain,
( ~ spl7_3
| spl7_4
| ~ spl7_5
| ~ spl7_6
| spl7_7 ),
inference(sat_conversion,[],[f222]) ).
cnf(s13,plain,
( ~ spl7_2
| spl7_3
| spl7_5
| ~ spl7_6
| spl7_7 ),
inference(sat_conversion,[],[f223]) ).
cnf(s14,plain,
( ~ spl7_3
| ~ spl7_4
| spl7_5
| ~ spl7_6
| spl7_7 ),
inference(sat_conversion,[],[f224]) ).
cnf(s15,plain,
( ~ spl7_2
| spl7_3
| spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(sat_conversion,[],[f225]) ).
cnf(s16,plain,
( ~ spl7_3
| ~ spl7_4
| spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(sat_conversion,[],[f226]) ).
cnf(s17,plain,
( spl7_2
| spl7_3
| spl7_5
| ~ spl7_7 ),
inference(sat_conversion,[],[f227]) ).
cnf(s18,plain,
( ~ spl7_3
| spl7_4
| spl7_5
| ~ spl7_7 ),
inference(sat_conversion,[],[f228]) ).
cnf(s19,plain,
( ~ spl7_1
| spl7_7
| spl7_8
| spl7_9 ),
inference(sat_conversion,[],[f237]) ).
cnf(s20,plain,
( spl7_1
| spl7_6
| spl7_8
| spl7_9 ),
inference(sat_conversion,[],[f238]) ).
cnf(s21,plain,
( ~ spl7_1
| ~ spl7_7
| spl7_8
| spl7_9
| spl7_10 ),
inference(sat_conversion,[],[f243]) ).
cnf(s22,plain,
( spl7_1
| ~ spl7_6
| spl7_8
| spl7_9
| spl7_10 ),
inference(sat_conversion,[],[f244]) ).
cnf(s23,plain,
( ~ spl7_1
| ~ spl7_7
| spl7_8
| ~ spl7_9
| spl7_10 ),
inference(sat_conversion,[],[f245]) ).
cnf(s24,plain,
( spl7_1
| ~ spl7_6
| spl7_8
| ~ spl7_9
| spl7_10 ),
inference(sat_conversion,[],[f246]) ).
cnf(s25,plain,
( ~ spl7_1
| spl7_7
| ~ spl7_8
| ~ spl7_9
| spl7_10 ),
inference(sat_conversion,[],[f247]) ).
cnf(s26,plain,
( spl7_1
| spl7_6
| ~ spl7_8
| ~ spl7_9
| spl7_10 ),
inference(sat_conversion,[],[f248]) ).
cnf(s27,plain,
( ~ spl7_1
| spl7_7
| ~ spl7_8
| ~ spl7_9
| ~ spl7_10 ),
inference(sat_conversion,[],[f249]) ).
cnf(s28,plain,
( spl7_1
| spl7_6
| ~ spl7_8
| ~ spl7_9
| ~ spl7_10 ),
inference(sat_conversion,[],[f250]) ).
cnf(s29,plain,
( ~ spl7_1
| ~ spl7_7
| ~ spl7_8
| ~ spl7_10 ),
inference(sat_conversion,[],[f251]) ).
cnf(s30,plain,
( spl7_1
| ~ spl7_6
| ~ spl7_8
| ~ spl7_10 ),
inference(sat_conversion,[],[f252]) ).
cnf(s31,plain,
( ~ spl7_5
| spl7_10
| ~ spl7_11
| spl7_12 ),
inference(sat_conversion,[],[f261]) ).
cnf(s32,plain,
( spl7_5
| spl7_9
| ~ spl7_11
| spl7_12 ),
inference(sat_conversion,[],[f262]) ).
cnf(s33,plain,
( ~ spl7_5
| ~ spl7_10
| ~ spl7_11
| spl7_12
| spl7_13 ),
inference(sat_conversion,[],[f267]) ).
cnf(s34,plain,
( spl7_5
| ~ spl7_9
| ~ spl7_11
| spl7_12
| spl7_13 ),
inference(sat_conversion,[],[f268]) ).
cnf(s35,plain,
( ~ spl7_5
| ~ spl7_10
| ~ spl7_11
| ~ spl7_12
| spl7_13 ),
inference(sat_conversion,[],[f269]) ).
cnf(s36,plain,
( spl7_5
| ~ spl7_9
| ~ spl7_11
| ~ spl7_12
| spl7_13 ),
inference(sat_conversion,[],[f270]) ).
cnf(s37,plain,
( ~ spl7_5
| spl7_10
| spl7_11
| ~ spl7_12
| spl7_13 ),
inference(sat_conversion,[],[f271]) ).
cnf(s38,plain,
( spl7_5
| spl7_9
| spl7_11
| ~ spl7_12
| spl7_13 ),
inference(sat_conversion,[],[f272]) ).
cnf(s39,plain,
( ~ spl7_5
| spl7_10
| spl7_11
| ~ spl7_12
| ~ spl7_13 ),
inference(sat_conversion,[],[f273]) ).
cnf(s40,plain,
( spl7_5
| spl7_9
| spl7_11
| ~ spl7_12
| ~ spl7_13 ),
inference(sat_conversion,[],[f274]) ).
cnf(s41,plain,
( ~ spl7_5
| ~ spl7_10
| spl7_11
| ~ spl7_13 ),
inference(sat_conversion,[],[f275]) ).
cnf(s42,plain,
( spl7_5
| ~ spl7_9
| spl7_11
| ~ spl7_13 ),
inference(sat_conversion,[],[f276]) ).
cnf(s43,plain,
( spl7_8
| spl7_13
| spl7_14
| spl7_15 ),
inference(sat_conversion,[],[f285]) ).
cnf(s44,plain,
( ~ spl7_8
| spl7_12
| spl7_14
| spl7_15 ),
inference(sat_conversion,[],[f286]) ).
cnf(s45,plain,
( spl7_8
| ~ spl7_13
| spl7_14
| spl7_15
| spl7_16 ),
inference(sat_conversion,[],[f291]) ).
cnf(s46,plain,
( ~ spl7_8
| ~ spl7_12
| spl7_14
| spl7_15
| spl7_16 ),
inference(sat_conversion,[],[f292]) ).
cnf(s47,plain,
( spl7_8
| ~ spl7_13
| spl7_14
| ~ spl7_15
| spl7_16 ),
inference(sat_conversion,[],[f293]) ).
cnf(s48,plain,
( ~ spl7_8
| ~ spl7_12
| spl7_14
| ~ spl7_15
| spl7_16 ),
inference(sat_conversion,[],[f294]) ).
cnf(s49,plain,
( spl7_8
| spl7_13
| ~ spl7_14
| ~ spl7_15
| spl7_16 ),
inference(sat_conversion,[],[f295]) ).
cnf(s50,plain,
( ~ spl7_8
| spl7_12
| ~ spl7_14
| ~ spl7_15
| spl7_16 ),
inference(sat_conversion,[],[f296]) ).
cnf(s51,plain,
( spl7_8
| spl7_13
| ~ spl7_14
| ~ spl7_15
| ~ spl7_16 ),
inference(sat_conversion,[],[f297]) ).
cnf(s52,plain,
( ~ spl7_8
| spl7_12
| ~ spl7_14
| ~ spl7_15
| ~ spl7_16 ),
inference(sat_conversion,[],[f298]) ).
cnf(s53,plain,
( spl7_8
| ~ spl7_13
| ~ spl7_14
| ~ spl7_16 ),
inference(sat_conversion,[],[f299]) ).
cnf(s54,plain,
( ~ spl7_8
| ~ spl7_12
| ~ spl7_14
| ~ spl7_16 ),
inference(sat_conversion,[],[f300]) ).
cnf(s57,plain,
( ~ spl7_11
| ~ spl7_16
| ~ spl7_17
| spl7_18 ),
inference(sat_conversion,[],[f315]) ).
cnf(s58,plain,
( spl7_11
| ~ spl7_15
| ~ spl7_17
| spl7_18 ),
inference(sat_conversion,[],[f316]) ).
cnf(s59,plain,
( ~ spl7_11
| ~ spl7_16
| ~ spl7_17
| ~ spl7_18
| spl7_19 ),
inference(sat_conversion,[],[f317]) ).
cnf(s60,plain,
( spl7_11
| ~ spl7_15
| ~ spl7_17
| ~ spl7_18
| spl7_19 ),
inference(sat_conversion,[],[f318]) ).
cnf(s61,plain,
( ~ spl7_11
| spl7_16
| spl7_17
| ~ spl7_18
| spl7_19 ),
inference(sat_conversion,[],[f319]) ).
cnf(s62,plain,
( spl7_11
| spl7_15
| spl7_17
| ~ spl7_18
| spl7_19 ),
inference(sat_conversion,[],[f320]) ).
cnf(s63,plain,
( ~ spl7_11
| spl7_16
| spl7_17
| ~ spl7_19 ),
inference(sat_conversion,[],[f321]) ).
cnf(s64,plain,
( spl7_11
| spl7_15
| spl7_17
| ~ spl7_19 ),
inference(sat_conversion,[],[f322]) ).
cnf(s69,plain,
( spl7_14
| spl7_18
| ~ spl7_20
| spl7_21 ),
inference(sat_conversion,[],[f339]) ).
cnf(s70,plain,
( ~ spl7_14
| spl7_19
| ~ spl7_20
| spl7_21 ),
inference(sat_conversion,[],[f340]) ).
cnf(s71,plain,
( spl7_14
| spl7_18
| ~ spl7_20
| ~ spl7_21
| spl7_22 ),
inference(sat_conversion,[],[f341]) ).
cnf(s72,plain,
( ~ spl7_14
| spl7_19
| ~ spl7_20
| ~ spl7_21
| spl7_22 ),
inference(sat_conversion,[],[f342]) ).
cnf(s73,plain,
( spl7_14
| ~ spl7_18
| spl7_20
| ~ spl7_21
| spl7_22 ),
inference(sat_conversion,[],[f343]) ).
cnf(s74,plain,
( ~ spl7_14
| ~ spl7_19
| spl7_20
| ~ spl7_21
| spl7_22 ),
inference(sat_conversion,[],[f344]) ).
cnf(s75,plain,
( spl7_14
| ~ spl7_18
| spl7_20
| ~ spl7_22 ),
inference(sat_conversion,[],[f345]) ).
cnf(s76,plain,
( ~ spl7_14
| ~ spl7_19
| spl7_20
| ~ spl7_22 ),
inference(sat_conversion,[],[f346]) ).
cnf(s81,plain,
( spl7_17
| spl7_18
| spl7_20
| spl7_21 ),
inference(sat_conversion,[],[f351]) ).
cnf(s82,plain,
( ~ spl7_17
| spl7_19
| spl7_20
| spl7_21 ),
inference(sat_conversion,[],[f352]) ).
cnf(s83,plain,
( spl7_17
| ~ spl7_18
| ~ spl7_20
| spl7_22 ),
inference(sat_conversion,[],[f353]) ).
cnf(s84,plain,
( ~ spl7_17
| ~ spl7_19
| ~ spl7_20
| spl7_22 ),
inference(sat_conversion,[],[f354]) ).
cnf(s85,plain,
( spl7_17
| ~ spl7_18
| spl7_20
| spl7_21
| spl7_22 ),
inference(sat_conversion,[],[f355]) ).
cnf(s86,plain,
( ~ spl7_17
| ~ spl7_19
| spl7_20
| spl7_21
| spl7_22 ),
inference(sat_conversion,[],[f356]) ).
cnf(s87,plain,
( spl7_17
| spl7_18
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22 ),
inference(sat_conversion,[],[f357]) ).
cnf(s88,plain,
( ~ spl7_17
| spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22 ),
inference(sat_conversion,[],[f358]) ).
cnf(s89,plain,
( spl7_17
| spl7_18
| spl7_20
| ~ spl7_21 ),
inference(sat_conversion,[],[f359]) ).
cnf(s90,plain,
( ~ spl7_17
| spl7_19
| spl7_20
| ~ spl7_21 ),
inference(sat_conversion,[],[f360]) ).
cnf(s91,plain,
( spl7_17
| ~ spl7_18
| ~ spl7_20
| ~ spl7_22 ),
inference(sat_conversion,[],[f361]) ).
cnf(s92,plain,
( ~ spl7_17
| ~ spl7_19
| ~ spl7_20
| ~ spl7_22 ),
inference(sat_conversion,[],[f362]) ).
cnf(s95,plain,
( spl7_20
| spl7_18
| spl7_17 ),
inference(rat,[],[s81,s89]) ).
cnf(s96,plain,
( spl7_18
| spl7_17
| spl7_14 ),
inference(rat,[],[s87,s71,s69,s95]) ).
cnf(s97,plain,
( spl7_20
| spl7_17
| spl7_14 ),
inference(rat,[],[s85,s73,s75,s96]) ).
cnf(s98,plain,
( ~ spl7_20
| ~ spl7_18
| spl7_17 ),
inference(rat,[],[s83,s91]) ).
cnf(s99,plain,
( spl7_17
| spl7_14 ),
inference(rat,[],[s98,s97,s96]) ).
cnf(s100,plain,
( spl7_20
| ~ spl7_19
| ~ spl7_18
| spl7_14 ),
inference(rat,[],[s86,s73,s75,s99]) ).
cnf(s101,plain,
( ~ spl7_20
| ~ spl7_19
| ~ spl7_17 ),
inference(rat,[],[s92,s84]) ).
cnf(s102,plain,
( spl7_14
| spl7_13
| spl7_11
| spl7_8 ),
inference(rat,[],[s101,s100,s60,s58,s99,s43]) ).
cnf(s103,plain,
( ~ spl7_15
| ~ spl7_14
| spl7_8
| spl7_13 ),
inference(rat,[],[s49,s51]) ).
cnf(s104,plain,
( spl7_17
| spl7_15
| ~ spl7_14
| spl7_11 ),
inference(rat,[],[s72,s87,s70,s95,s62,s64]) ).
cnf(s105,plain,
( ~ spl7_19
| spl7_20
| ~ spl7_17
| ~ spl7_14 ),
inference(rat,[],[s86,s74,s76]) ).
cnf(s106,plain,
( spl7_19
| spl7_20
| ~ spl7_17 ),
inference(rat,[],[s82,s90]) ).
cnf(s107,plain,
( spl7_20
| ~ spl7_14
| ~ spl7_17 ),
inference(rat,[],[s106,s105]) ).
cnf(s108,plain,
( ~ spl7_14
| ~ spl7_17 ),
inference(rat,[],[s72,s88,s70,s101,s107]) ).
cnf(s109,plain,
( spl7_15
| spl7_11
| ~ spl7_14 ),
inference(rat,[],[s108,s104]) ).
cnf(s110,plain,
( spl7_13
| spl7_11
| spl7_8 ),
inference(rat,[],[s109,s103,s102]) ).
cnf(s111,plain,
( spl7_11
| ~ spl7_9
| spl7_8
| spl7_5 ),
inference(rat,[],[s110,s42]) ).
cnf(s112,plain,
( spl7_13
| ~ spl7_11
| spl7_5
| ~ spl7_9 ),
inference(rat,[],[s34,s36]) ).
cnf(s113,plain,
( spl7_16
| spl7_14
| spl7_8
| ~ spl7_13 ),
inference(rat,[],[s45,s47]) ).
cnf(s114,plain,
( spl7_14
| ~ spl7_13
| ~ spl7_11
| spl7_8 ),
inference(rat,[],[s101,s100,s59,s57,s113,s99]) ).
cnf(s115,plain,
( ~ spl7_13
| spl7_8
| ~ spl7_11 ),
inference(rat,[],[s72,s87,s70,s95,s61,s63,s108,s53,s114]) ).
cnf(s116,plain,
( ~ spl7_9
| spl7_8
| spl7_5 ),
inference(rat,[],[s115,s112,s111]) ).
cnf(s117,plain,
( spl7_8
| spl7_6
| spl7_5
| spl7_1 ),
inference(rat,[],[s116,s20]) ).
cnf(s118,plain,
( ~ spl7_9
| ~ spl7_8
| spl7_1
| spl7_6 ),
inference(rat,[],[s26,s28]) ).
cnf(s119,plain,
( spl7_14
| spl7_12
| spl7_11
| ~ spl7_8 ),
inference(rat,[],[s101,s100,s60,s58,s44,s99]) ).
cnf(s120,plain,
( ~ spl7_15
| ~ spl7_14
| ~ spl7_8
| spl7_12 ),
inference(rat,[],[s50,s52]) ).
cnf(s121,plain,
( spl7_12
| spl7_11
| ~ spl7_8 ),
inference(rat,[],[s120,s109,s119]) ).
cnf(s122,plain,
( ~ spl7_12
| spl7_11
| spl7_5
| spl7_9 ),
inference(rat,[],[s38,s40]) ).
cnf(s123,plain,
( spl7_11
| spl7_9
| ~ spl7_8
| spl7_5 ),
inference(rat,[],[s122,s121]) ).
cnf(s124,plain,
( ~ spl7_16
| spl7_14
| ~ spl7_11 ),
inference(rat,[],[s101,s100,s59,s57,s99]) ).
cnf(s125,plain,
( spl7_16
| spl7_14
| ~ spl7_8
| ~ spl7_12 ),
inference(rat,[],[s48,s46]) ).
cnf(s126,plain,
( spl7_14
| ~ spl7_12
| ~ spl7_11
| ~ spl7_8 ),
inference(rat,[],[s125,s124]) ).
cnf(s127,plain,
( ~ spl7_12
| ~ spl7_8
| ~ spl7_11 ),
inference(rat,[],[s72,s87,s70,s95,s61,s63,s108,s54,s126]) ).
cnf(s128,plain,
( spl7_9
| ~ spl7_8
| spl7_5 ),
inference(rat,[],[s127,s32,s123]) ).
cnf(s129,plain,
( spl7_6
| spl7_5
| spl7_1 ),
inference(rat,[],[s128,s118,s117]) ).
cnf(s130,plain,
( ~ spl7_6
| spl7_5
| ~ spl7_3
| ~ spl7_4 ),
inference(rat,[],[s14,s16]) ).
cnf(s131,plain,
( spl7_5
| spl7_2
| spl7_1 ),
inference(rat,[],[s130,s129,s2,s1]) ).
cnf(s132,plain,
( spl7_10
| spl7_8
| spl7_1
| ~ spl7_6 ),
inference(rat,[],[s22,s24]) ).
cnf(s133,plain,
( spl7_11
| ~ spl7_10
| spl7_8
| ~ spl7_5 ),
inference(rat,[],[s41,s110]) ).
cnf(s134,plain,
( spl7_13
| ~ spl7_11
| ~ spl7_5
| ~ spl7_10 ),
inference(rat,[],[s33,s35]) ).
cnf(s135,plain,
( ~ spl7_10
| spl7_8
| ~ spl7_5 ),
inference(rat,[],[s134,s115,s133]) ).
cnf(s136,plain,
( spl7_8
| spl7_2
| spl7_1 ),
inference(rat,[],[s135,s132,s8,s131,s2,s1]) ).
cnf(s137,plain,
( ~ spl7_12
| spl7_11
| ~ spl7_5
| spl7_10 ),
inference(rat,[],[s37,s39]) ).
cnf(s138,plain,
( spl7_11
| spl7_10
| ~ spl7_8
| ~ spl7_5 ),
inference(rat,[],[s137,s121]) ).
cnf(s139,plain,
( spl7_10
| ~ spl7_5
| ~ spl7_8 ),
inference(rat,[],[s127,s31,s138]) ).
cnf(s140,plain,
( ~ spl7_3
| spl7_2
| spl7_1 ),
inference(rat,[],[s139,s30,s136,s8,s131,s2]) ).
cnf(s141,plain,
( spl7_2
| spl7_1 ),
inference(rat,[],[s140,s1]) ).
cnf(s142,plain,
( ~ spl7_3
| spl7_5
| spl7_1 ),
inference(rat,[],[s130,s3,s141,s129]) ).
cnf(s143,plain,
( spl7_3
| ~ spl7_6
| ~ spl7_2
| spl7_5 ),
inference(rat,[],[s13,s15]) ).
cnf(s144,plain,
( spl7_5
| spl7_1 ),
inference(rat,[],[s143,s142,s129,s141]) ).
cnf(s145,plain,
( spl7_6
| spl7_1 ),
inference(rat,[],[s8,s3,s7,s141,s144]) ).
cnf(s146,plain,
( spl7_8
| spl7_1 ),
inference(rat,[],[s135,s132,s144,s145]) ).
cnf(s147,plain,
spl7_1,
inference(rat,[],[s139,s30,s146,s145,s144]) ).
cnf(s148,plain,
( ~ spl7_3
| ~ spl7_7
| spl7_5 ),
inference(rat,[],[s18,s6,s147]) ).
cnf(s149,plain,
( spl7_3
| ~ spl7_2 ),
inference(rat,[],[s4,s5,s147]) ).
cnf(s150,plain,
( spl7_3
| ~ spl7_7
| spl7_5 ),
inference(rat,[],[s149,s17]) ).
cnf(s151,plain,
( ~ spl7_7
| spl7_5 ),
inference(rat,[],[s150,s148]) ).
cnf(s152,plain,
( spl7_8
| spl7_5 ),
inference(rat,[],[s19,s116,s151,s147]) ).
cnf(s153,plain,
( ~ spl7_9
| ~ spl7_8
| spl7_7 ),
inference(rat,[],[s25,s27,s147]) ).
cnf(s154,plain,
spl7_5,
inference(rat,[],[s153,s128,s152,s151]) ).
cnf(s155,plain,
( ~ spl7_7
| spl7_10
| spl7_8 ),
inference(rat,[],[s23,s21,s147]) ).
cnf(s156,plain,
( spl7_6
| spl7_2
| spl7_7 ),
inference(rat,[],[s10,s6,s9,s147,s154]) ).
cnf(s157,plain,
( ~ spl7_6
| spl7_2
| spl7_7 ),
inference(rat,[],[s12,s6,s11,s147,s154]) ).
cnf(s158,plain,
( spl7_2
| spl7_7 ),
inference(rat,[],[s157,s156]) ).
cnf(s159,plain,
( spl7_4
| spl7_7
| ~ spl7_3 ),
inference(rat,[],[s12,s10,s154]) ).
cnf(s160,plain,
spl7_7,
inference(rat,[],[s159,s6,s149,s158,s147]) ).
cnf(s161,plain,
spl7_8,
inference(rat,[],[s155,s135,s160,s154]) ).
cnf(s162,plain,
~ spl7_10,
inference(rat,[],[s29,s160,s147,s161]) ).
cnf(s163,plain,
$false,
inference(rat,[],[s139,s154,s161,s162]) ).
tff(f365,plain,
$false,
inference(avatar_sat_refutation,[],[s163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO500_8.007 : 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 : n004.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 17:46:37 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.25 % (587177)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (587186)% WARNING: option uhcvi not known.
% 0.07/0.25 % (587186)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4194124035:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (587186) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-587177-587186"...
% 0.07/0.25 % (587186)...printing done.
% 0.07/0.25 % (587186)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (587186)------------------------------
% 0.07/0.25 % (587186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (587186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (587186)CaDiCaL version: 2.1.3
% 0.07/0.25 % (587186)Termination reason: Refutation
% 0.07/0.25 % (587186)Time elapsed: 0.004 s
% 0.07/0.25 % (587186)Peak memory usage: 12 MB
% 0.07/0.25 % (587186)Instructions burned: 10 (million)
% 0.07/0.25 % (587177)Success in time 0.029 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------