%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN067-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:49:13 PM UTC 2026
% Result : Unsatisfiable 2.80s 0.88s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 69
% Syntax : Number of formulae : 275 ( 11 unt; 30 def)
% Number of atoms : 999 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1261 ( 537 ~; 694 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 31 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 177 ( 0 sgn 177 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(sk2(X0),sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_1) ).
fof(f2,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk2(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_2) ).
fof(f3,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk6(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_3) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk6(X0))
| big_r(X1,sk2(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_4) ).
fof(f5,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_5) ).
fof(f6,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_r(X1,sk6(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_6) ).
fof(f7,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk5(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk5(X0))
| big_r(X1,sk2(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_8) ).
fof(f9,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_p(sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_9) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_r(sk2(X0),sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_10) ).
fof(f11,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_r(X1,sk6(X1))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X2)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_11) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk5(X1))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X2)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_14) ).
fof(f25,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(sk2(X1),sk1(X1))
| big_r(sk4(X0),sk3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_25) ).
fof(f26,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,sk4(X0))
| big_r(sk2(X1),sk1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_26) ).
fof(f27,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X1,sk2(X1))
| big_r(sk4(X0),sk3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_27) ).
fof(f28,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,sk4(X0))
| big_r(X1,sk2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_28) ).
fof(f29,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk3(X0))
| big_r(sk2(X1),sk1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_29) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk3(X0))
| big_r(X1,sk2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_30) ).
fof(f34,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_r(sk4(X0),sk3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_34) ).
fof(f35,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_r(X0,sk4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_35) ).
fof(f36,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_p(sk3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_36) ).
fof(f38,negated_conjecture,
( big_p(sk11)
| big_p(sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_38) ).
fof(f39,negated_conjecture,
( big_p(sk8)
| big_r(sk10,sk11)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_39) ).
fof(f40,negated_conjecture,
! [X0,X1] :
( big_p(sk8)
| ~ big_p(X0)
| ~ big_p(sk7)
| ~ big_p(sk9)
| ~ big_r(X1,X0)
| ~ big_r(sk10,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_40) ).
fof(f41,negated_conjecture,
! [X0,X1] :
( big_p(sk11)
| big_p(sk8)
| ~ big_p(X0)
| ~ big_p(sk7)
| ~ big_r(X1,X0)
| ~ big_r(sk9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_41) ).
fof(f42,negated_conjecture,
! [X0,X1] :
( big_p(sk8)
| big_r(sk10,sk11)
| ~ big_p(X0)
| ~ big_p(sk7)
| ~ big_r(X1,X0)
| ~ big_r(sk9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_42) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk8)
| ~ big_p(X0)
| ~ big_p(X1)
| ~ big_p(sk7)
| ~ big_r(X2,X0)
| ~ big_r(X3,X1)
| ~ big_r(sk10,X2)
| ~ big_r(sk9,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_43) ).
fof(f44,negated_conjecture,
( big_p(sk11)
| big_r(sk7,sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_44) ).
fof(f45,negated_conjecture,
( big_r(sk10,sk11)
| big_r(sk7,sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_45) ).
fof(f46,negated_conjecture,
! [X0,X1] :
( big_r(sk7,sk8)
| ~ big_p(X0)
| ~ big_p(sk7)
| ~ big_p(sk9)
| ~ big_r(X1,X0)
| ~ big_r(sk10,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_46) ).
fof(f47,negated_conjecture,
! [X0,X1] :
( big_p(sk11)
| big_r(sk7,sk8)
| ~ big_p(X0)
| ~ big_p(sk7)
| ~ big_r(X1,X0)
| ~ big_r(sk9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_47) ).
fof(f48,negated_conjecture,
! [X0,X1] :
( big_r(sk10,sk11)
| big_r(sk7,sk8)
| ~ big_p(X0)
| ~ big_p(sk7)
| ~ big_r(X1,X0)
| ~ big_r(sk9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_48) ).
fof(f49,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(sk7,sk8)
| ~ big_p(X0)
| ~ big_p(X1)
| ~ big_p(sk7)
| ~ big_r(X2,X0)
| ~ big_r(X3,X1)
| ~ big_r(sk10,X2)
| ~ big_r(sk9,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_49) ).
fof(f50,negated_conjecture,
! [X0,X1] :
( big_p(sk11)
| ~ big_p(X0)
| ~ big_p(sk9)
| ~ big_r(X1,X0)
| ~ big_r(sk7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_50) ).
fof(f51,negated_conjecture,
! [X0,X1] :
( big_r(sk10,sk11)
| ~ big_p(X0)
| ~ big_p(sk9)
| ~ big_r(X1,X0)
| ~ big_r(sk7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_51) ).
fof(f52,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_p(X0)
| ~ big_p(X1)
| ~ big_p(sk9)
| ~ big_r(X2,X0)
| ~ big_r(X3,X1)
| ~ big_r(sk10,X2)
| ~ big_r(sk7,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_52) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk11)
| ~ big_p(X0)
| ~ big_p(X1)
| ~ big_r(X2,X0)
| ~ big_r(X3,X1)
| ~ big_r(sk7,X3)
| ~ big_r(sk9,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_53) ).
fof(f54,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(sk10,sk11)
| ~ big_p(X0)
| ~ big_p(X1)
| ~ big_r(X2,X0)
| ~ big_r(X3,X1)
| ~ big_r(sk7,X3)
| ~ big_r(sk9,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_54) ).
fof(f55,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ big_p(X0)
| ~ big_p(X1)
| ~ big_p(X2)
| ~ big_r(X3,X0)
| ~ big_r(X4,X1)
| ~ big_r(X5,X2)
| ~ big_r(sk10,X3)
| ~ big_r(sk7,X5)
| ~ big_r(sk9,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_55) ).
fof(f57,definition,
( spl0_1
<=> ! [X2,X5] :
( ~ big_p(X2)
| ~ big_r(sk7,X5)
| ~ big_r(X5,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,plain,
( ! [X2,X5] :
( ~ big_r(sk7,X5)
| ~ big_r(X5,X2)
| ~ big_p(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_2
<=> ! [X4,X1] :
( ~ big_p(X1)
| ~ big_r(sk9,X4)
| ~ big_r(X4,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( ! [X1,X4] :
( ~ big_r(sk9,X4)
| ~ big_r(X4,X1)
| ~ big_p(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_3
<=> ! [X0,X3] :
( ~ big_p(X0)
| ~ big_r(sk10,X3)
| ~ big_r(X3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( ! [X3,X0] :
( ~ big_r(sk10,X3)
| ~ big_r(X3,X0)
| ~ big_p(X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f55,f63,f60,f57]) ).
fof(f67,definition,
( spl0_4
<=> big_r(sk10,sk11) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( big_r(sk10,sk11)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f54,f67,f60,f57]) ).
fof(f71,definition,
( spl0_5
<=> big_p(sk11) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f73,plain,
( spl0_1
| spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f53,f71,f60,f57]) ).
fof(f75,definition,
( spl0_6
<=> big_p(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f77,plain,
( ~ spl0_6
| spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f52,f63,f57,f75]) ).
fof(f78,plain,
( ~ spl0_6
| spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f51,f67,f57,f75]) ).
fof(f79,plain,
( ~ spl0_6
| spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f71,f57,f75]) ).
fof(f81,definition,
( spl0_7
<=> big_p(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f84,definition,
( spl0_8
<=> big_r(sk7,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f85,plain,
( big_r(sk7,sk8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( ~ spl0_7
| spl0_2
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f49,f84,f63,f60,f81]) ).
fof(f87,plain,
( ~ spl0_7
| spl0_2
| spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f67,f84,f60,f81]) ).
fof(f88,plain,
( ~ spl0_7
| spl0_2
| spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f47,f71,f84,f60,f81]) ).
fof(f89,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f46,f84,f63,f81,f75]) ).
fof(f90,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f45,f67,f84,f81,f75]) ).
fof(f91,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f71,f84,f81,f75]) ).
fof(f93,definition,
( spl0_9
<=> big_p(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f95,plain,
( ~ spl0_7
| spl0_2
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f43,f93,f63,f60,f81]) ).
fof(f96,plain,
( ~ spl0_7
| spl0_2
| spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f42,f93,f67,f60,f81]) ).
fof(f97,plain,
( ~ spl0_7
| spl0_2
| spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f41,f71,f93,f60,f81]) ).
fof(f98,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f40,f93,f63,f81,f75]) ).
fof(f99,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f39,f93,f67,f81,f75]) ).
fof(f100,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f71,f93,f81,f75]) ).
fof(f102,definition,
( spl0_10
<=> ! [X1] :
( big_p(X1)
| big_p(sk1(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f103,plain,
( ! [X1] :
( big_p(sk1(X1))
| big_p(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,definition,
( spl0_11
<=> ! [X0] :
( big_p(X0)
| big_p(sk3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f106,plain,
( ! [X0] :
( big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f36,f105,f102]) ).
fof(f109,definition,
( spl0_12
<=> ! [X0] :
( big_p(X0)
| big_r(X0,sk4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f110,plain,
( ! [X0] :
( big_r(X0,sk4(X0))
| big_p(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f111,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f109,f102]) ).
fof(f113,definition,
( spl0_13
<=> ! [X0] :
( big_p(X0)
| big_r(sk4(X0),sk3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f114,plain,
( ! [X0] :
( big_r(sk4(X0),sk3(X0))
| big_p(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f113,f102]) ).
fof(f117,definition,
( spl0_14
<=> ! [X2,X1] :
( big_p(sk5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f118,plain,
( ! [X2,X1] :
( ~ big_r(X1,X2)
| big_p(sk5(X1))
| ~ big_p(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,definition,
( spl0_15
<=> ! [X2,X1] :
( big_r(X1,sk6(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f122,plain,
( ! [X2,X1] :
( big_r(X1,sk6(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_16
<=> ! [X2,X1] :
( big_r(sk6(X1),sk5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f126,plain,
( ! [X2,X1] :
( big_r(sk6(X1),sk5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl0_17
<=> ! [X1] :
( big_p(X1)
| big_r(X1,sk2(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f130,plain,
( ! [X1] :
( big_r(X1,sk2(X1))
| big_p(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( spl0_17
| spl0_11 ),
inference(avatar_split_clause,[],[f30,f105,f129]) ).
fof(f133,definition,
( spl0_18
<=> ! [X1] :
( big_p(X1)
| big_r(sk2(X1),sk1(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f134,plain,
( ! [X1] :
( big_r(sk2(X1),sk1(X1))
| big_p(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( spl0_18
| spl0_11 ),
inference(avatar_split_clause,[],[f29,f105,f133]) ).
fof(f136,plain,
( spl0_17
| spl0_12 ),
inference(avatar_split_clause,[],[f28,f109,f129]) ).
fof(f137,plain,
( spl0_17
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f113,f129]) ).
fof(f138,plain,
( spl0_18
| spl0_12 ),
inference(avatar_split_clause,[],[f26,f109,f133]) ).
fof(f139,plain,
( spl0_18
| spl0_13 ),
inference(avatar_split_clause,[],[f25,f113,f133]) ).
fof(f141,definition,
( spl0_19
<=> ! [X2,X1] :
( big_p(sk1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f142,plain,
( ! [X2,X1] :
( ~ big_r(X1,X2)
| big_p(sk1(X1))
| ~ big_p(X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f145,definition,
( spl0_20
<=> ! [X2,X1] :
( big_r(X1,sk2(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f146,plain,
( ! [X2,X1] :
( big_r(X1,sk2(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,definition,
( spl0_21
<=> ! [X2,X1] :
( big_r(sk2(X1),sk1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f150,plain,
( ! [X2,X1] :
( big_r(sk2(X1),sk1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f159,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f14,f133,f117]) ).
fof(f162,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f11,f133,f121]) ).
fof(f163,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f10,f133,f125]) ).
fof(f164,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f9,f141,f117]) ).
fof(f165,plain,
( spl0_20
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f117,f145]) ).
fof(f166,plain,
( spl0_21
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f117,f149]) ).
fof(f167,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f6,f141,f121]) ).
fof(f168,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f5,f141,f125]) ).
fof(f169,plain,
( spl0_20
| spl0_15 ),
inference(avatar_split_clause,[],[f4,f121,f145]) ).
fof(f170,plain,
( spl0_21
| spl0_15 ),
inference(avatar_split_clause,[],[f3,f121,f149]) ).
fof(f171,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f2,f145,f125]) ).
fof(f172,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f1,f149,f125]) ).
fof(f174,plain,
( ! [X0] :
( ~ big_r(sk9,sk4(X0))
| ~ big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_2
| ~ spl0_13 ),
inference(resolution,[],[f61,f114]) ).
fof(f202,plain,
( ~ big_p(sk3(sk9))
| big_p(sk9)
| big_p(sk9)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f174,f110]) ).
fof(f203,plain,
( ~ big_p(sk3(sk9))
| big_p(sk9)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f205,definition,
( spl0_27
<=> big_p(sk3(sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f206,plain,
( ~ big_p(sk3(sk9))
| spl0_27 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f207,plain,
( spl0_6
| ~ spl0_27
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f203,f113,f109,f60,f205,f75]) ).
fof(f208,plain,
( big_p(sk9)
| ~ spl0_11
| spl0_27 ),
inference(resolution,[],[f206,f106]) ).
fof(f209,plain,
( spl0_6
| ~ spl0_11
| spl0_27 ),
inference(avatar_split_clause,[],[f208,f205,f105,f75]) ).
fof(f221,plain,
( ! [X0] :
( ~ big_r(sk9,sk2(X0))
| big_p(X0)
| ~ big_p(sk1(X0)) )
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f134,f61]) ).
fof(f253,plain,
( big_p(sk9)
| ~ big_p(sk1(sk9))
| big_p(sk9)
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f221,f130]) ).
fof(f254,plain,
( big_p(sk9)
| ~ big_p(sk1(sk9))
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f256,definition,
( spl0_33
<=> big_p(sk1(sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f257,plain,
( ~ big_p(sk1(sk9))
| spl0_33 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( ~ spl0_33
| spl0_6
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f254,f133,f129,f60,f75,f256]) ).
fof(f260,plain,
( big_p(sk9)
| ~ spl0_10
| spl0_33 ),
inference(resolution,[],[f257,f103]) ).
fof(f261,plain,
( spl0_6
| ~ spl0_10
| spl0_33 ),
inference(avatar_split_clause,[],[f260,f256,f102,f75]) ).
fof(f274,plain,
( ! [X0] :
( ~ big_r(sk7,sk4(X0))
| ~ big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_1
| ~ spl0_13 ),
inference(resolution,[],[f58,f114]) ).
fof(f290,definition,
( spl0_37
<=> ! [X0] :
( ~ big_r(sk7,X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f291,plain,
( ! [X0] :
( ~ big_r(sk7,X0)
| ~ big_p(X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f328,definition,
( spl0_45
<=> big_p(sk1(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f329,plain,
( ~ big_p(sk1(sk7))
| spl0_45 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f335,plain,
( ~ big_p(sk3(sk7))
| big_p(sk7)
| big_p(sk7)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f274,f110]) ).
fof(f336,plain,
( ~ big_p(sk3(sk7))
| big_p(sk7)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f338,definition,
( spl0_46
<=> big_p(sk3(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f339,plain,
( ~ big_p(sk3(sk7))
| spl0_46 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f341,plain,
( big_p(sk7)
| ~ spl0_11
| spl0_46 ),
inference(resolution,[],[f339,f106]) ).
fof(f342,plain,
( spl0_7
| ~ spl0_11
| spl0_46 ),
inference(avatar_split_clause,[],[f341,f338,f105,f81]) ).
fof(f343,plain,
( big_p(sk1(sk10))
| ~ big_p(sk11)
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f68,f142]) ).
fof(f344,plain,
( big_p(sk5(sk10))
| ~ big_p(sk11)
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f68,f118]) ).
fof(f352,definition,
( spl0_48
<=> big_p(sk5(sk10)) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f354,plain,
( ~ spl0_5
| spl0_48
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f344,f117,f67,f352,f71]) ).
fof(f356,definition,
( spl0_49
<=> big_p(sk1(sk10)) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f366,plain,
( ! [X0,X1] :
( ~ big_r(sk10,sk6(X0))
| ~ big_r(X0,X1)
| ~ big_p(sk5(X0))
| ~ big_p(X1) )
| ~ spl0_3
| ~ spl0_16 ),
inference(resolution,[],[f64,f126]) ).
fof(f394,definition,
( spl0_54
<=> ! [X0] :
( ~ big_r(sk10,X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f395,plain,
( ! [X0] :
( ~ big_r(sk10,X0)
| ~ big_p(X0) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f508,plain,
( ! [X0,X1] :
( ~ big_r(sk10,X0)
| ~ big_p(sk5(sk10))
| ~ big_p(X0)
| ~ big_r(sk10,X1)
| ~ big_p(X1) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f366,f122]) ).
fof(f523,plain,
( spl0_54
| ~ spl0_48
| spl0_54
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f508,f125,f121,f63,f394,f352,f394]) ).
fof(f526,plain,
( ~ big_p(sk11)
| ~ spl0_4
| ~ spl0_54 ),
inference(resolution,[],[f395,f68]) ).
fof(f531,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f526,f394,f67,f71]) ).
fof(f539,plain,
( spl0_7
| ~ spl0_46
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f336,f113,f109,f57,f338,f81]) ).
fof(f540,plain,
( big_p(sk5(sk7))
| ~ big_p(sk8)
| ~ spl0_8
| ~ spl0_14 ),
inference(resolution,[],[f85,f118]) ).
fof(f544,definition,
( spl0_68
<=> big_p(sk5(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f552,plain,
( ~ spl0_9
| spl0_68
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f540,f117,f84,f544,f93]) ).
fof(f557,plain,
( ! [X0,X1] :
( ~ big_r(sk7,sk2(X0))
| ~ big_r(X0,X1)
| ~ big_p(sk1(X0))
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_21 ),
inference(resolution,[],[f58,f150]) ).
fof(f558,plain,
( ! [X0] :
( ~ big_r(sk7,sk2(X0))
| ~ big_p(sk1(X0))
| big_p(X0) )
| ~ spl0_1
| ~ spl0_18 ),
inference(resolution,[],[f58,f134]) ).
fof(f559,plain,
( ! [X0,X1] :
( ~ big_r(sk7,sk6(X0))
| ~ big_r(X0,X1)
| ~ big_p(sk5(X0))
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f58,f126]) ).
fof(f579,plain,
( ~ big_p(sk1(sk7))
| big_p(sk7)
| big_p(sk7)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f558,f130]) ).
fof(f580,plain,
( ~ big_p(sk1(sk7))
| big_p(sk7)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f579]) ).
fof(f583,plain,
( ! [X0,X1] :
( ~ big_r(sk7,X0)
| ~ big_p(sk1(sk7))
| ~ big_p(X0)
| ~ big_r(sk7,X1)
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f557,f146]) ).
fof(f594,plain,
( ! [X0,X1] :
( ~ big_r(sk7,X0)
| ~ big_p(sk5(sk7))
| ~ big_p(X0)
| ~ big_r(sk7,X1)
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f559,f122]) ).
fof(f609,plain,
( spl0_37
| ~ spl0_68
| spl0_37
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f594,f125,f121,f57,f290,f544,f290]) ).
fof(f612,plain,
( ~ big_p(sk8)
| ~ spl0_8
| ~ spl0_37 ),
inference(resolution,[],[f291,f85]) ).
fof(f617,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f612,f290,f84,f93]) ).
fof(f618,plain,
( ~ spl0_5
| spl0_49
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f343,f141,f67,f356,f71]) ).
fof(f620,plain,
( big_p(sk7)
| ~ spl0_10
| spl0_45 ),
inference(resolution,[],[f103,f329]) ).
fof(f629,plain,
( big_p(sk1(sk7))
| ~ big_p(sk8)
| ~ spl0_8
| ~ spl0_19 ),
inference(resolution,[],[f142,f85]) ).
fof(f632,plain,
( ~ spl0_9
| spl0_45
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f629,f141,f84,f328,f93]) ).
fof(f633,plain,
( spl0_37
| ~ spl0_45
| spl0_37
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f583,f149,f145,f57,f290,f328,f290]) ).
fof(f647,plain,
( ! [X0,X1] :
( ~ big_r(sk10,sk2(X0))
| ~ big_r(X0,X1)
| ~ big_p(sk1(X0))
| ~ big_p(X1) )
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f64,f150]) ).
fof(f697,plain,
( ! [X0,X1] :
( ~ big_r(sk10,X0)
| ~ big_p(sk1(sk10))
| ~ big_p(X0)
| ~ big_r(sk10,X1)
| ~ big_p(X1) )
| ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f647,f146]) ).
fof(f708,plain,
( spl0_54
| ~ spl0_49
| spl0_54
| ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f697,f149,f145,f63,f394,f356,f394]) ).
fof(f709,plain,
( spl0_7
| ~ spl0_10
| spl0_45 ),
inference(avatar_split_clause,[],[f620,f328,f102,f81]) ).
fof(f712,plain,
( spl0_7
| ~ spl0_45
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f580,f133,f129,f57,f328,f81]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f69]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f73]) ).
cnf(s4,plain,
( spl0_1
| spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f77]) ).
cnf(s5,plain,
( spl0_1
| spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f78]) ).
cnf(s6,plain,
( spl0_1
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f79]) ).
cnf(s7,plain,
( spl0_2
| spl0_3
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s8,plain,
( spl0_2
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f87]) ).
cnf(s9,plain,
( spl0_2
| spl0_5
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f88]) ).
cnf(s10,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f89]) ).
cnf(s11,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f90]) ).
cnf(s12,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f91]) ).
cnf(s13,plain,
( spl0_2
| spl0_3
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f95]) ).
cnf(s14,plain,
( spl0_2
| spl0_4
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f96]) ).
cnf(s15,plain,
( spl0_2
| spl0_5
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f97]) ).
cnf(s16,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f98]) ).
cnf(s17,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f99]) ).
cnf(s18,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f100]) ).
cnf(s19,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f107]) ).
cnf(s20,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s21,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f115]) ).
cnf(s25,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f131]) ).
cnf(s26,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f135]) ).
cnf(s27,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f136]) ).
cnf(s28,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f137]) ).
cnf(s29,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f138]) ).
cnf(s30,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f139]) ).
cnf(s41,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f159]) ).
cnf(s44,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f162]) ).
cnf(s45,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f163]) ).
cnf(s46,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f164]) ).
cnf(s47,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f165]) ).
cnf(s48,plain,
( spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f166]) ).
cnf(s49,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f167]) ).
cnf(s50,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f168]) ).
cnf(s51,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f169]) ).
cnf(s52,plain,
( spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f170]) ).
cnf(s53,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f171]) ).
cnf(s54,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f172]) ).
cnf(s57,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_27 ),
inference(sat_conversion,[],[f207]) ).
cnf(s58,plain,
( spl0_6
| ~ spl0_11
| spl0_27 ),
inference(sat_conversion,[],[f209]) ).
cnf(s64,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_33 ),
inference(sat_conversion,[],[f258]) ).
cnf(s66,plain,
( spl0_6
| ~ spl0_10
| spl0_33 ),
inference(sat_conversion,[],[f261]) ).
cnf(s82,plain,
( spl0_7
| ~ spl0_11
| spl0_46 ),
inference(sat_conversion,[],[f342]) ).
cnf(s84,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| spl0_48 ),
inference(sat_conversion,[],[f354]) ).
cnf(s104,plain,
( spl0_54
| ~ spl0_15
| ~ spl0_16
| ~ spl0_48
| ~ spl0_3
| spl0_54 ),
inference(sat_conversion,[],[f523]) ).
cnf(s105,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_48
| spl0_54 ),
inference(rat,[],[s104]) ).
cnf(s107,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_54 ),
inference(sat_conversion,[],[f531]) ).
cnf(s110,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_46 ),
inference(sat_conversion,[],[f539]) ).
cnf(s112,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| spl0_68 ),
inference(sat_conversion,[],[f552]) ).
cnf(s115,plain,
( spl0_37
| ~ spl0_15
| ~ spl0_16
| ~ spl0_1
| spl0_37
| ~ spl0_68 ),
inference(sat_conversion,[],[f609]) ).
cnf(s116,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| spl0_37
| ~ spl0_68 ),
inference(rat,[],[s115]) ).
cnf(s118,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_37 ),
inference(sat_conversion,[],[f617]) ).
cnf(s119,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_19
| spl0_49 ),
inference(sat_conversion,[],[f618]) ).
cnf(s120,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_19
| spl0_45 ),
inference(sat_conversion,[],[f632]) ).
cnf(s121,plain,
( spl0_37
| ~ spl0_20
| ~ spl0_21
| ~ spl0_1
| spl0_37
| ~ spl0_45 ),
inference(sat_conversion,[],[f633]) ).
cnf(s122,plain,
( ~ spl0_1
| ~ spl0_20
| ~ spl0_21
| spl0_37
| ~ spl0_45 ),
inference(rat,[],[s121]) ).
cnf(s126,plain,
( spl0_54
| ~ spl0_20
| ~ spl0_21
| ~ spl0_49
| ~ spl0_3
| spl0_54 ),
inference(sat_conversion,[],[f708]) ).
cnf(s127,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_21
| ~ spl0_49
| spl0_54 ),
inference(rat,[],[s126]) ).
cnf(s128,plain,
( spl0_7
| ~ spl0_10
| spl0_45 ),
inference(sat_conversion,[],[f709]) ).
cnf(s131,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_45 ),
inference(sat_conversion,[],[f712]) ).
cnf(s135,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s119,s127,s50,s53,s54,s107]) ).
cnf(s136,plain,
( spl0_15
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s119,s127,s49,s51,s52,s107]) ).
cnf(s137,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s119,s127,s46,s47,s48,s84,s105,s136,s135,s107,s1,s2,s3]) ).
cnf(s138,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_3 ),
inference(rat,[],[s119,s127,s46,s47,s48,s84,s105,s136,s135,s107]) ).
cnf(s140,plain,
( spl0_18
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s58,s57,s26,s29,s30]) ).
cnf(s141,plain,
( spl0_17
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s58,s57,s25,s27,s28]) ).
cnf(s142,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s58,s57,s19,s20,s21,s66,s64]) ).
cnf(s143,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s142,s141,s140]) ).
cnf(s144,plain,
( ~ spl0_6
| spl0_1 ),
inference(rat,[],[s4,s138,s5,s6]) ).
cnf(s145,plain,
spl0_1,
inference(rat,[],[s144,s143,s137]) ).
cnf(s146,plain,
( spl0_7
| spl0_18 ),
inference(rat,[],[s82,s110,s30,s29,s26,s145]) ).
cnf(s147,plain,
( spl0_18
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s116,s118,s112,s12,s18,s146,s41,s44,s45,s145]) ).
cnf(s148,plain,
( spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(rat,[],[s128,s131,s145]) ).
cnf(s149,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_14
| ~ spl0_16
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s116,s118,s112,s12,s18,s145]) ).
cnf(s150,plain,
( spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(rat,[],[s82,s110,s19,s20,s21,s148,s145]) ).
cnf(s151,plain,
( spl0_15
| ~ spl0_8
| ~ spl0_9 ),
inference(rat,[],[s120,s122,s49,s51,s52,s118,s145]) ).
cnf(s152,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_9 ),
inference(rat,[],[s120,s122,s46,s47,s48,s118,s145]) ).
cnf(s153,plain,
( ~ spl0_7
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s120,s122,s50,s53,s54,s149,s152,s151,s118,s12,s18,s145]) ).
cnf(s154,plain,
( spl0_7
| ~ spl0_18 ),
inference(rat,[],[s82,s110,s25,s27,s28,s150,s145]) ).
cnf(s155,plain,
( spl0_5
| ~ spl0_6 ),
inference(rat,[],[s154,s153,s147]) ).
cnf(s156,plain,
( spl0_18
| spl0_4
| ~ spl0_6 ),
inference(rat,[],[s116,s118,s112,s11,s17,s146,s41,s44,s45,s145]) ).
cnf(s157,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(rat,[],[s120,s122,s50,s53,s54,s116,s112,s152,s151,s118,s145]) ).
cnf(s158,plain,
( ~ spl0_7
| spl0_4
| ~ spl0_6 ),
inference(rat,[],[s157,s11,s17]) ).
cnf(s159,plain,
( spl0_4
| ~ spl0_6 ),
inference(rat,[],[s158,s154,s156]) ).
cnf(s160,plain,
( ~ spl0_7
| spl0_3
| ~ spl0_6 ),
inference(rat,[],[s157,s10,s16]) ).
cnf(s161,plain,
spl0_7,
inference(rat,[],[s154,s146]) ).
cnf(s163,plain,
~ spl0_6,
inference(rat,[],[s138,s160,s159,s155,s161]) ).
cnf(s164,plain,
~ spl0_2,
inference(rat,[],[s143,s163]) ).
cnf(s165,plain,
spl0_5,
inference(rat,[],[s157,s9,s15,s161,s164]) ).
cnf(s166,plain,
spl0_3,
inference(rat,[],[s157,s7,s13,s161,s164]) ).
cnf(s167,plain,
~ spl0_4,
inference(rat,[],[s138,s165,s166]) ).
cnf(s168,plain,
spl0_9,
inference(rat,[],[s14,s164,s161,s167]) ).
cnf(s169,plain,
spl0_8,
inference(rat,[],[s8,s164,s161,s167]) ).
cnf(s170,plain,
$false,
inference(rat,[],[s157,s168,s169]) ).
fof(f715,plain,
$false,
inference(avatar_sat_refutation,[],[s170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN067-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n006.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:27:40 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.80/0.88 % (4054398)Input is clausal, will run a generic CNF schedule.
% 2.80/0.88 % (4054424)dis-21_1_sil=8000:lcm=predicate:random_seed=2291427693:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.80/0.88 % (4054424)First to succeed.
% 2.80/0.88 % (4054424)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4054398"
% 2.80/0.88 % (4054418)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1574424177:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.80/0.88 % (4054419)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=687302735:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.80/0.88 % (4054420)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=555241287:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.80/0.88 % (4054422)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2344878215:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.80/0.88 % (4054421)lrs+10_1_sil=8000:sp=occurrence:random_seed=3788852993:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.80/0.88 % (4054423)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1036683724:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.80/0.88 % (4054422)Also succeeded, but the first one will report.
% 2.80/0.88 % (4054423)Also succeeded, but the first one will report.
% 2.80/0.88 % (4054421)Also succeeded, but the first one will report.
% 2.80/0.88 % (4054424)Refutation found. Thanks to Tanya!
% 2.80/0.88 % SZS status Unsatisfiable for theBenchmark
% 2.80/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.08 % (4054424)------------------------------
% 3.51/1.08 % (4054424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (4054424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (4054424)CaDiCaL version: 2.1.3
% 3.51/1.08 % (4054424)Termination reason: Refutation
% 3.51/1.08 % (4054424)Time elapsed: 0.012 s
% 3.51/1.08 % (4054424)Peak memory usage: 89 MB
% 3.51/1.08 % (4054424)Instructions burned: 19 (million)
% 3.51/1.08 % (4054424)------------------------------
% 3.51/1.08 % (4054424)------------------------------
% 3.51/1.08 % (4054398)Success in time 0.43 s
% 3.51/1.08 % Vampire exiting
%------------------------------------------------------------------------------