%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN067-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:06:39 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.27s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 62
% Syntax : Number of formulae : 274 ( 11 unt; 23 def)
% Number of atoms : 1054 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1393 ( 613 ~; 757 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 24 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 181 ( 0 sgn 181 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',pel38_36) ).
fof(f38,negated_conjecture,
( big_p(sk11)
| big_p(sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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_p(X2)
| ~ big_r(X5,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_p(X1)
| ~ big_r(X4,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_p(X0)
| ~ big_r(X3,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(f69,plain,
( big_r(sk10,sk11)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f54,f67,f60,f57]) ).
fof(f72,definition,
( spl0_5
<=> big_p(sk11) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f74,plain,
( big_p(sk11)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( spl0_1
| spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f53,f72,f60,f57]) ).
fof(f77,definition,
( spl0_6
<=> big_p(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f79,plain,
( ~ big_p(sk9)
| spl0_6 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( ~ spl0_6
| spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f52,f63,f57,f77]) ).
fof(f81,plain,
( ~ spl0_6
| spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f51,f67,f57,f77]) ).
fof(f82,plain,
( ~ spl0_6
| spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f72,f57,f77]) ).
fof(f84,definition,
( spl0_7
<=> big_p(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f86,plain,
( ~ big_p(sk7)
| spl0_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_8
<=> big_r(sk7,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f90,plain,
( big_r(sk7,sk8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( ~ spl0_7
| spl0_2
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f49,f88,f63,f60,f84]) ).
fof(f92,plain,
( ~ spl0_7
| spl0_2
| spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f67,f88,f60,f84]) ).
fof(f93,plain,
( ~ spl0_7
| spl0_2
| spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f47,f72,f88,f60,f84]) ).
fof(f94,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f46,f88,f63,f84,f77]) ).
fof(f95,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f45,f67,f88,f84,f77]) ).
fof(f96,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f72,f88,f84,f77]) ).
fof(f98,definition,
( spl0_9
<=> big_p(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f100,plain,
( big_p(sk8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( ~ spl0_7
| spl0_2
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f43,f98,f63,f60,f84]) ).
fof(f102,plain,
( ~ spl0_7
| spl0_2
| spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f42,f98,f67,f60,f84]) ).
fof(f103,plain,
( ~ spl0_7
| spl0_2
| spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f41,f72,f98,f60,f84]) ).
fof(f104,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f40,f98,f63,f84,f77]) ).
fof(f105,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f39,f98,f67,f84,f77]) ).
fof(f106,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f72,f98,f84,f77]) ).
fof(f108,definition,
( spl0_10
<=> ! [X1] :
( big_p(X1)
| big_p(sk1(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f109,plain,
( ! [X1] :
( big_p(sk1(X1))
| big_p(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,definition,
( spl0_11
<=> ! [X0] :
( big_p(X0)
| big_p(sk3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f112,plain,
( ! [X0] :
( big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f113,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f36,f111,f108]) ).
fof(f115,definition,
( spl0_12
<=> ! [X0] :
( big_p(X0)
| big_r(X0,sk4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] :
( big_r(X0,sk4(X0))
| big_p(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f115,f108]) ).
fof(f119,definition,
( spl0_13
<=> ! [X0] :
( big_p(X0)
| big_r(sk4(X0),sk3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f120,plain,
( ! [X0] :
( big_r(sk4(X0),sk3(X0))
| big_p(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f121,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f119,f108]) ).
fof(f123,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(f124,plain,
( ! [X2,X1] :
( ~ big_r(X1,X2)
| big_p(sk5(X1))
| ~ big_p(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,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(f128,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(X1,sk6(X1)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,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(f132,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(sk6(X1),sk5(X1)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f135,definition,
( spl0_17
<=> ! [X1] :
( big_p(X1)
| big_r(X1,sk2(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f136,plain,
( ! [X1] :
( big_r(X1,sk2(X1))
| big_p(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f137,plain,
( spl0_17
| spl0_11 ),
inference(avatar_split_clause,[],[f30,f111,f135]) ).
fof(f139,definition,
( spl0_18
<=> ! [X1] :
( big_p(X1)
| big_r(sk2(X1),sk1(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f140,plain,
( ! [X1] :
( big_r(sk2(X1),sk1(X1))
| big_p(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( spl0_18
| spl0_11 ),
inference(avatar_split_clause,[],[f29,f111,f139]) ).
fof(f142,plain,
( spl0_17
| spl0_12 ),
inference(avatar_split_clause,[],[f28,f115,f135]) ).
fof(f143,plain,
( spl0_17
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f119,f135]) ).
fof(f144,plain,
( spl0_18
| spl0_12 ),
inference(avatar_split_clause,[],[f26,f115,f139]) ).
fof(f145,plain,
( spl0_18
| spl0_13 ),
inference(avatar_split_clause,[],[f25,f119,f139]) ).
fof(f147,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(f148,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_p(sk1(X1)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f151,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(f152,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(X1,sk2(X1)) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f155,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(f156,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(sk2(X1),sk1(X1)) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f165,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f14,f139,f123]) ).
fof(f168,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f11,f139,f127]) ).
fof(f169,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f10,f139,f131]) ).
fof(f170,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f9,f147,f123]) ).
fof(f171,plain,
( spl0_20
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f123,f151]) ).
fof(f172,plain,
( spl0_21
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f123,f155]) ).
fof(f173,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f6,f147,f127]) ).
fof(f174,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f5,f147,f131]) ).
fof(f175,plain,
( spl0_20
| spl0_15 ),
inference(avatar_split_clause,[],[f4,f127,f151]) ).
fof(f176,plain,
( spl0_21
| spl0_15 ),
inference(avatar_split_clause,[],[f3,f127,f155]) ).
fof(f177,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f2,f151,f131]) ).
fof(f178,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f1,f155,f131]) ).
fof(f179,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk4(sk9),X0)
| big_p(sk9) )
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f61,f116]) ).
fof(f180,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk4(sk9),X0) )
| ~ spl0_2
| spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f179,f79]) ).
fof(f187,plain,
( ! [X0] :
( ~ big_r(sk4(sk9),sk3(X0))
| big_p(X0) )
| ~ spl0_2
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(resolution,[],[f180,f112]) ).
fof(f197,plain,
( big_p(sk9)
| big_p(sk9)
| ~ spl0_2
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f187,f120]) ).
fof(f198,plain,
( big_p(sk9)
| ~ spl0_2
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f197]) ).
fof(f199,plain,
( $false
| ~ spl0_2
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f198,f79]) ).
fof(f200,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f204,plain,
( ! [X0] :
( big_p(sk9)
| ~ big_p(X0)
| ~ big_r(sk2(sk9),X0) )
| ~ spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f136,f61]) ).
fof(f206,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk9),X0) )
| ~ spl0_2
| spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f204,f79]) ).
fof(f211,plain,
( ! [X0] :
( ~ big_r(sk2(sk9),sk1(X0))
| big_p(X0) )
| ~ spl0_2
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f206,f109]) ).
fof(f243,plain,
( big_p(sk9)
| big_p(sk9)
| ~ spl0_2
| spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f211,f140]) ).
fof(f244,plain,
( big_p(sk9)
| ~ spl0_2
| spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f243]) ).
fof(f245,plain,
( $false
| ~ spl0_2
| spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f244,f79]) ).
fof(f246,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f260,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk4(sk7),X0)
| big_p(sk7) )
| ~ spl0_1
| ~ spl0_12 ),
inference(resolution,[],[f58,f116]) ).
fof(f261,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk7),X0)
| big_p(sk7) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f58,f136]) ).
fof(f262,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_1
| spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f261,f86]) ).
fof(f263,plain,
( ! [X0] :
( ~ big_r(sk4(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_1
| spl0_7
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f260,f86]) ).
fof(f264,plain,
( ~ big_p(sk1(sk7))
| big_p(sk7)
| ~ spl0_1
| spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f262,f140]) ).
fof(f281,plain,
( big_p(sk7)
| ~ spl0_1
| spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f264,f109]) ).
fof(f282,plain,
( $false
| ~ spl0_1
| spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f281,f86]) ).
fof(f283,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f284,plain,
( ! [X0] :
( ~ big_r(X0,sk11)
| big_r(X0,sk6(X0)) )
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f74,f128]) ).
fof(f285,plain,
( ! [X0] :
( big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,sk11) )
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f74,f132]) ).
fof(f286,plain,
( ! [X0] :
( ~ big_r(X0,sk11)
| big_p(sk1(X0)) )
| ~ spl0_5
| ~ spl0_19 ),
inference(resolution,[],[f74,f148]) ).
fof(f287,plain,
( ! [X0] :
( ~ big_r(X0,sk11)
| big_r(X0,sk2(X0)) )
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f74,f152]) ).
fof(f288,plain,
( ! [X0] :
( ~ big_r(X0,sk11)
| big_r(sk2(X0),sk1(X0)) )
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f74,f156]) ).
fof(f289,plain,
( big_p(sk5(sk10))
| ~ big_p(sk11)
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f69,f124]) ).
fof(f290,plain,
( big_p(sk5(sk10))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f289,f74]) ).
fof(f299,definition,
( spl0_28
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk10),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f300,plain,
( ! [X0] :
( ~ big_r(sk2(sk10),X0)
| ~ big_p(X0) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f318,plain,
( big_p(sk1(sk10))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_19 ),
inference(resolution,[],[f286,f69]) ).
fof(f319,plain,
( big_r(sk10,sk6(sk10))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f284,f69]) ).
fof(f325,plain,
( big_r(sk10,sk2(sk10))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f287,f69]) ).
fof(f327,plain,
( ! [X0] :
( ~ big_r(sk6(sk10),X0)
| ~ big_p(X0) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f319,f64]) ).
fof(f329,plain,
( big_r(sk2(sk10),sk1(sk10))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f288,f69]) ).
fof(f330,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk10),X0) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f325,f64]) ).
fof(f332,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f330,f151,f72,f67,f63,f299]) ).
fof(f344,plain,
( ~ big_p(sk1(sk10))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_21
| ~ spl0_28 ),
inference(resolution,[],[f300,f329]) ).
fof(f362,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_19
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f344,f318]) ).
fof(f363,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_19
| ~ spl0_21
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f382,plain,
( ~ big_p(sk5(sk10))
| ~ big_r(sk10,sk11)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f327,f285]) ).
fof(f399,plain,
( ~ big_r(sk10,sk11)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f382,f290]) ).
fof(f400,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f399,f69]) ).
fof(f401,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f414,plain,
( ~ big_p(sk3(sk7))
| big_p(sk7)
| ~ spl0_1
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f263,f120]) ).
fof(f431,plain,
( big_p(sk7)
| ~ spl0_1
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f414,f112]) ).
fof(f432,plain,
( $false
| ~ spl0_1
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f431,f86]) ).
fof(f433,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f439,definition,
( spl0_40
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk7),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f440,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f448,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_r(X0,sk6(X0)) )
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f100,f128]) ).
fof(f449,plain,
( ! [X0] :
( big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,sk8) )
| ~ spl0_9
| ~ spl0_16 ),
inference(resolution,[],[f100,f132]) ).
fof(f450,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_p(sk1(X0)) )
| ~ spl0_9
| ~ spl0_19 ),
inference(resolution,[],[f100,f148]) ).
fof(f451,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_r(sk2(X0),sk1(X0)) )
| ~ spl0_9
| ~ spl0_21 ),
inference(resolution,[],[f100,f156]) ).
fof(f453,plain,
( big_p(sk5(sk7))
| ~ big_p(sk8)
| ~ spl0_8
| ~ spl0_14 ),
inference(resolution,[],[f90,f124]) ).
fof(f454,plain,
( big_p(sk5(sk7))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f453,f100]) ).
fof(f461,plain,
( big_p(sk1(sk7))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_19 ),
inference(resolution,[],[f450,f90]) ).
fof(f466,plain,
( big_r(sk7,sk6(sk7))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f448,f90]) ).
fof(f468,plain,
( big_r(sk2(sk7),sk1(sk7))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_21 ),
inference(resolution,[],[f451,f90]) ).
fof(f471,plain,
( ! [X0] :
( ~ big_r(sk6(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f466,f58]) ).
fof(f518,plain,
( ~ big_p(sk5(sk7))
| ~ big_r(sk7,sk8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f471,f449]) ).
fof(f537,plain,
( ~ big_r(sk7,sk8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f518,f454]) ).
fof(f539,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f537,f90]) ).
fof(f540,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f539]) ).
fof(f569,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_r(X0,sk2(X0)) )
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f152,f100]) ).
fof(f574,plain,
( big_r(sk7,sk2(sk7))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f569,f90]) ).
fof(f575,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk7),X0) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f574,f58]) ).
fof(f576,plain,
( spl0_40
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f575,f151,f98,f88,f57,f439]) ).
fof(f577,plain,
( ~ big_p(sk1(sk7))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_21
| ~ spl0_40 ),
inference(resolution,[],[f440,f468]) ).
fof(f581,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| ~ spl0_19
| ~ spl0_21
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f577,f461]) ).
fof(f582,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_19
| ~ spl0_21
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f581]) ).
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,[],[f70]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f75]) ).
cnf(s4,plain,
( spl0_1
| spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f80]) ).
cnf(s5,plain,
( spl0_1
| spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f81]) ).
cnf(s6,plain,
( spl0_1
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f82]) ).
cnf(s7,plain,
( spl0_2
| spl0_3
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f91]) ).
cnf(s8,plain,
( spl0_2
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f92]) ).
cnf(s9,plain,
( spl0_2
| spl0_5
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f93]) ).
cnf(s10,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f94]) ).
cnf(s11,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f95]) ).
cnf(s12,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f96]) ).
cnf(s13,plain,
( spl0_2
| spl0_3
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f101]) ).
cnf(s14,plain,
( spl0_2
| spl0_4
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s15,plain,
( spl0_2
| spl0_5
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f103]) ).
cnf(s16,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f104]) ).
cnf(s17,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f105]) ).
cnf(s18,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f106]) ).
cnf(s19,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f113]) ).
cnf(s20,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s21,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s25,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f137]) ).
cnf(s26,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f141]) ).
cnf(s27,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f142]) ).
cnf(s28,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f143]) ).
cnf(s29,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f144]) ).
cnf(s30,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f145]) ).
cnf(s41,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f165]) ).
cnf(s44,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f168]) ).
cnf(s45,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f169]) ).
cnf(s46,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f170]) ).
cnf(s47,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f171]) ).
cnf(s48,plain,
( spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f172]) ).
cnf(s49,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f173]) ).
cnf(s50,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f174]) ).
cnf(s51,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f175]) ).
cnf(s52,plain,
( spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f176]) ).
cnf(s53,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f177]) ).
cnf(s54,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f178]) ).
cnf(s55,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f200]) ).
cnf(s56,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f246]) ).
cnf(s61,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f283]) ).
cnf(s64,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20
| spl0_28 ),
inference(sat_conversion,[],[f332]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_19
| ~ spl0_21
| ~ spl0_28 ),
inference(sat_conversion,[],[f363]) ).
cnf(s70,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f401]) ).
cnf(s77,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f433]) ).
cnf(s89,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f540]) ).
cnf(s92,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| spl0_40 ),
inference(sat_conversion,[],[f576]) ).
cnf(s93,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_19
| ~ spl0_21
| ~ spl0_40 ),
inference(sat_conversion,[],[f582]) ).
cnf(s95,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s67,s64,s50,s53,s54]) ).
cnf(s96,plain,
( spl0_15
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s67,s64,s49,s51,s52]) ).
cnf(s97,plain,
( ~ spl0_15
| ~ spl0_3
| ~ spl0_16
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s67,s64,s46,s47,s48,s70]) ).
cnf(s98,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s97,s96,s95]) ).
cnf(s99,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s98,s1,s2,s3]) ).
cnf(s101,plain,
( spl0_18
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s55,s26,s29,s30]) ).
cnf(s102,plain,
( spl0_17
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s55,s25,s27,s28]) ).
cnf(s103,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_2
| spl0_6 ),
inference(rat,[],[s55,s19,s20,s21,s56]) ).
cnf(s104,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s103,s102,s101]) ).
cnf(s105,plain,
( ~ spl0_6
| spl0_1 ),
inference(rat,[],[s4,s98,s5,s6]) ).
cnf(s106,plain,
spl0_1,
inference(rat,[],[s105,s104,s99]) ).
cnf(s107,plain,
( spl0_18
| ~ spl0_6
| spl0_5 ),
inference(rat,[],[s89,s18,s12,s77,s26,s29,s30,s41,s44,s45,s106]) ).
cnf(s108,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_16
| ~ spl0_15 ),
inference(rat,[],[s93,s92,s46,s47,s48,s89,s106]) ).
cnf(s110,plain,
( spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(rat,[],[s77,s19,s20,s21,s61,s106]) ).
cnf(s111,plain,
( spl0_15
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s93,s92,s49,s51,s52,s106]) ).
cnf(s112,plain,
( ~ spl0_9
| ~ spl0_15
| ~ spl0_8 ),
inference(rat,[],[s93,s92,s50,s53,s54,s108,s106]) ).
cnf(s113,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s112,s111]) ).
cnf(s114,plain,
( ~ spl0_7
| ~ spl0_6
| spl0_5 ),
inference(rat,[],[s113,s18,s12]) ).
cnf(s115,plain,
( spl0_7
| ~ spl0_18 ),
inference(rat,[],[s77,s25,s27,s28,s110,s106]) ).
cnf(s116,plain,
( ~ spl0_6
| spl0_5 ),
inference(rat,[],[s115,s114,s107]) ).
cnf(s117,plain,
( ~ spl0_7
| spl0_2
| spl0_5 ),
inference(rat,[],[s113,s9,s15]) ).
cnf(s118,plain,
spl0_7,
inference(rat,[],[s77,s26,s29,s30,s115,s106]) ).
cnf(s119,plain,
spl0_5,
inference(rat,[],[s104,s117,s116,s118]) ).
cnf(s120,plain,
( spl0_2
| spl0_4 ),
inference(rat,[],[s113,s8,s14,s118]) ).
cnf(s121,plain,
( ~ spl0_6
| spl0_4 ),
inference(rat,[],[s113,s17,s11,s118]) ).
cnf(s122,plain,
spl0_4,
inference(rat,[],[s121,s104,s120]) ).
cnf(s123,plain,
~ spl0_3,
inference(rat,[],[s98,s119,s122]) ).
cnf(s124,plain,
spl0_2,
inference(rat,[],[s113,s7,s13,s118,s123]) ).
cnf(s125,plain,
spl0_6,
inference(rat,[],[s104,s124]) ).
cnf(s126,plain,
spl0_8,
inference(rat,[],[s10,s123,s118,s125]) ).
cnf(s127,plain,
spl0_9,
inference(rat,[],[s16,s123,s118,s125]) ).
cnf(s128,plain,
$false,
inference(rat,[],[s113,s126,s127]) ).
fof(f583,plain,
$false,
inference(avatar_sat_refutation,[],[s128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n017.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:23:21 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/0.27 % (3634374)Will run a generic schedule for satisfiability detection.
% 0.26/0.27 % (3634384)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=401724594:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.27 % (3634380)% WARNING: option uhcvi not known.
% 0.26/0.27 % (3634379)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1477695351_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.27 % (3634381)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3611274294:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.27 % (3634380)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3329628916:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.27 % (3634382)dis+10_1_sil=32000:sp=arity:random_seed=198010915:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.27 % (3634383)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2960578456:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.27 % (3634385)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2675795332:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.27 % TRYING [1]
% 0.26/0.27 % TRYING [2]
% 0.26/0.27 % (3634380) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3634374-3634380"...
% 0.26/0.27 % (3634382) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3634374-3634382"...
% 0.26/0.27 % TRYING [3]
% 0.26/0.27 % (3634383) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3634374-3634383"...
% 0.26/0.27 % (3634380)...printing done.
% 0.26/0.27 % (3634382)...printing done.
% 0.26/0.27 % (3634380)Refutation found. Thanks to Tanya!
% 0.26/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.27 % (3634380)------------------------------
% 0.26/0.27 % (3634380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.27 % (3634380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.27 % (3634380)CaDiCaL version: 2.1.3
% 0.26/0.27 % (3634380)Termination reason: Refutation
% 0.26/0.27 % (3634380)Time elapsed: 0.013 s
% 0.26/0.27 % (3634380)Peak memory usage: 12 MB
% 0.26/0.27 % (3634380)Instructions burned: 16 (million)
% 0.26/0.27 % (3634374)Success in time 0.054 s
% 0.26/0.27 % Vampire exiting
%------------------------------------------------------------------------------