%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN067-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 0.66s 0.97s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 62
% Syntax : Number of formulae : 287 ( 19 unt; 29 def)
% Number of atoms : 1009 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1263 ( 541 ~; 693 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 30 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 149 ( 0 sgn 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_p(sk3(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_r(X0,sk4(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk3(X0))
| big_r(X1,sk2(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,sk4(X0))
| big_r(X1,sk2(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X1,sk2(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk1(X0))
| big_p(sk5(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk1(X0))
| big_r(X1,sk6(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_9) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk5(X1))
| big_r(X0,sk2(X0))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_10) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk3(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_13) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,sk4(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_14) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(sk2(X1),sk1(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_15) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk5(X1))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_25) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_p(sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_28) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk5(X0))
| big_r(X1,sk2(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_29) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_r(X1,sk6(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk6(X0))
| big_r(X1,sk2(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_31) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk5(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_32) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk6(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_33) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk2(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_35) ).
fof(f36,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_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_36) ).
fof(f37,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_37) ).
fof(f38,negated_conjecture,
( big_p(sk10)
| 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(sk9,sk10)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_39) ).
fof(f40,negated_conjecture,
( big_p(sk10)
| big_r(sk7,sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_40) ).
fof(f41,negated_conjecture,
( big_r(sk7,sk8)
| big_r(sk9,sk10)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_41) ).
fof(f42,negated_conjecture,
! [X0,X1] :
( 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_42) ).
fof(f43,negated_conjecture,
! [X0,X1] :
( 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_43) ).
fof(f44,negated_conjecture,
! [X0,X1] :
( big_p(sk10)
| ~ big_p(X0)
| ~ big_p(sk9)
| ~ big_r(X1,X0)
| ~ big_r(sk7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_44) ).
fof(f45,negated_conjecture,
! [X0,X1] :
( big_r(sk9,sk10)
| ~ big_p(X0)
| ~ big_p(sk9)
| ~ big_r(X1,X0)
| ~ big_r(sk7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ 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_46) ).
fof(f48,definition,
( spl0_1
<=> ! [X1,X3] :
( ~ big_p(X1)
| ~ big_r(sk7,X3)
| ~ big_r(X3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,plain,
( ! [X3,X1] :
( ~ big_r(sk7,X3)
| ~ big_r(X3,X1)
| ~ big_p(X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,definition,
( spl0_2
<=> ! [X2,X0] :
( ~ big_p(X0)
| ~ big_r(sk9,X2)
| ~ big_r(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f52,plain,
( ! [X2,X0] :
( ~ big_r(sk9,X2)
| ~ big_r(X2,X0)
| ~ big_p(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f53,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f46,f51,f48]) ).
fof(f55,definition,
( spl0_3
<=> big_p(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,definition,
( spl0_4
<=> big_r(sk9,sk10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f59,plain,
( big_r(sk9,sk10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f60,plain,
( ~ spl0_3
| spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f45,f58,f48,f55]) ).
fof(f62,definition,
( spl0_5
<=> big_p(sk10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f64,plain,
( ~ spl0_3
| spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f62,f48,f55]) ).
fof(f66,definition,
( spl0_6
<=> big_p(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f69,definition,
( spl0_7
<=> big_r(sk7,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f70,plain,
( big_r(sk7,sk8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( ~ spl0_6
| spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f43,f69,f51,f66]) ).
fof(f73,definition,
( spl0_8
<=> big_p(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f75,plain,
( ~ spl0_6
| spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f42,f73,f51,f66]) ).
fof(f76,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f41,f69,f58,f66,f55]) ).
fof(f77,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f40,f62,f69,f66,f55]) ).
fof(f78,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f39,f73,f58,f66,f55]) ).
fof(f79,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f62,f73,f66,f55]) ).
fof(f81,definition,
( spl0_9
<=> big_p(a) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f82,plain,
( ~ big_p(a)
| spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_10
<=> ! [X2,X1] :
( big_r(sk6(X1),sk5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f85,plain,
( ! [X2,X1] :
( big_r(sk6(X1),sk5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_11
<=> ! [X0,X3] :
( big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f88,plain,
( ! [X3,X0] :
( big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( ~ spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f36,f87,f84,f81]) ).
fof(f91,definition,
( spl0_12
<=> ! [X0,X3] :
( big_r(X0,sk2(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f92,plain,
( ! [X3,X0] :
( big_r(X0,sk2(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( ~ spl0_9
| spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f91,f84,f81]) ).
fof(f95,definition,
( spl0_13
<=> ! [X0,X3] :
( big_p(sk1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f96,plain,
( ! [X3,X0] :
( ~ big_r(X0,X3)
| big_p(sk1(X0))
| ~ big_p(X3) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( ~ spl0_9
| spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f95,f84,f81]) ).
fof(f99,definition,
( spl0_14
<=> ! [X2,X0] :
( big_r(X0,sk6(X0))
| ~ big_r(X0,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f100,plain,
( ! [X2,X0] :
( big_r(X0,sk6(X0))
| ~ big_r(X0,X2)
| ~ big_p(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( ~ spl0_9
| spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f33,f99,f87,f81]) ).
fof(f103,definition,
( spl0_15
<=> ! [X2,X0] :
( big_p(sk5(X0))
| ~ big_r(X0,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f104,plain,
( ! [X2,X0] :
( ~ big_r(X0,X2)
| big_p(sk5(X0))
| ~ big_p(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f105,plain,
( ~ spl0_9
| spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f103,f87,f81]) ).
fof(f106,plain,
( ~ spl0_9
| spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f31,f99,f91,f81]) ).
fof(f107,plain,
( ~ spl0_9
| spl0_14
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f95,f99,f81]) ).
fof(f108,plain,
( ~ spl0_9
| spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f29,f103,f91,f81]) ).
fof(f109,plain,
( ~ spl0_9
| spl0_15
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f95,f103,f81]) ).
fof(f111,definition,
( spl0_16
<=> ! [X0] :
( big_p(X0)
| big_r(sk2(X0),sk1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f112,plain,
( ! [X0] :
( big_r(sk2(X0),sk1(X0))
| big_p(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f115,plain,
( ~ spl0_9
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f25,f111,f103,f81]) ).
fof(f117,definition,
( spl0_17
<=> ! [X0] :
( big_p(X0)
| big_r(sk4(X0),sk3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f118,plain,
( ! [X0] :
( big_r(sk4(X0),sk3(X0))
| big_p(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f123,definition,
( spl0_18
<=> ! [X0] :
( big_p(X0)
| big_r(X0,sk4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f124,plain,
( ! [X0] :
( big_r(X0,sk4(X0))
| big_p(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,definition,
( spl0_19
<=> ! [X0] :
( big_p(X0)
| big_p(sk3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f128,plain,
( ! [X0] :
( big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f134,plain,
( ~ spl0_9
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f15,f117,f111,f81]) ).
fof(f135,plain,
( ~ spl0_9
| spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f14,f123,f111,f81]) ).
fof(f136,plain,
( ~ spl0_9
| spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f13,f127,f111,f81]) ).
fof(f138,definition,
( spl0_20
<=> ! [X0] :
( big_p(X0)
| big_r(X0,sk2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f139,plain,
( ! [X0] :
( big_r(X0,sk2(X0))
| big_p(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f142,plain,
( ~ spl0_9
| spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f10,f138,f103,f81]) ).
fof(f144,definition,
( spl0_21
<=> ! [X0] :
( big_p(X0)
| big_p(sk1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f145,plain,
( ! [X0] :
( big_p(sk1(X0))
| big_p(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( ~ spl0_9
| spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f9,f144,f84,f81]) ).
fof(f147,plain,
( ~ spl0_9
| spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f8,f144,f99,f81]) ).
fof(f148,plain,
( ~ spl0_9
| spl0_15
| spl0_21 ),
inference(avatar_split_clause,[],[f7,f144,f103,f81]) ).
fof(f149,plain,
( ~ spl0_9
| spl0_20
| spl0_17 ),
inference(avatar_split_clause,[],[f6,f117,f138,f81]) ).
fof(f150,plain,
( ~ spl0_9
| spl0_20
| spl0_18 ),
inference(avatar_split_clause,[],[f5,f123,f138,f81]) ).
fof(f151,plain,
( ~ spl0_9
| spl0_20
| spl0_19 ),
inference(avatar_split_clause,[],[f4,f127,f138,f81]) ).
fof(f152,plain,
( ~ spl0_9
| spl0_21
| spl0_17 ),
inference(avatar_split_clause,[],[f3,f117,f144,f81]) ).
fof(f153,plain,
( ~ spl0_9
| spl0_21
| spl0_18 ),
inference(avatar_split_clause,[],[f2,f123,f144,f81]) ).
fof(f154,plain,
( ~ spl0_9
| spl0_21
| spl0_19 ),
inference(avatar_split_clause,[],[f1,f127,f144,f81]) ).
fof(f155,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f82,f37]) ).
fof(f156,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f158,plain,
( ! [X0] :
( ~ big_r(sk9,sk4(X0))
| ~ big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f52,f118]) ).
fof(f167,definition,
( spl0_22
<=> ! [X0] :
( ~ big_r(sk9,X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f168,plain,
( ! [X0] :
( ~ big_r(sk9,X0)
| ~ big_p(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f185,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_r(sk9,sk6(X0))
| ~ big_p(X1)
| ~ big_p(sk5(X0)) )
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f85,f52]) ).
fof(f186,plain,
( ~ big_p(sk3(sk9))
| big_p(sk9)
| big_p(sk9)
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f158,f124]) ).
fof(f187,plain,
( ~ big_p(sk3(sk9))
| big_p(sk9)
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f186]) ).
fof(f189,definition,
( spl0_27
<=> big_p(sk3(sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f190,plain,
( ~ big_p(sk3(sk9))
| spl0_27 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( spl0_3
| ~ spl0_27
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f187,f123,f117,f51,f189,f55]) ).
fof(f192,plain,
( big_p(sk9)
| ~ spl0_19
| spl0_27 ),
inference(resolution,[],[f190,f128]) ).
fof(f193,plain,
( spl0_3
| ~ spl0_19
| spl0_27 ),
inference(avatar_split_clause,[],[f192,f189,f127,f55]) ).
fof(f205,plain,
( ! [X0] :
( ~ big_r(sk9,sk2(X0))
| big_p(X0)
| ~ big_p(sk1(X0)) )
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f112,f52]) ).
fof(f237,plain,
( big_p(sk9)
| ~ big_p(sk1(sk9))
| big_p(sk9)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_20 ),
inference(resolution,[],[f205,f139]) ).
fof(f238,plain,
( big_p(sk9)
| ~ big_p(sk1(sk9))
| ~ spl0_2
| ~ spl0_16
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f240,definition,
( spl0_33
<=> big_p(sk1(sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f241,plain,
( ~ big_p(sk1(sk9))
| spl0_33 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( ~ spl0_33
| spl0_3
| ~ spl0_2
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f238,f138,f111,f51,f55,f240]) ).
fof(f244,plain,
( big_p(sk9)
| ~ spl0_21
| spl0_33 ),
inference(resolution,[],[f241,f145]) ).
fof(f245,plain,
( spl0_3
| ~ spl0_21
| spl0_33 ),
inference(avatar_split_clause,[],[f244,f240,f144,f55]) ).
fof(f255,plain,
( ! [X0] :
( ~ big_r(sk7,sk4(X0))
| ~ big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f49,f118]) ).
fof(f257,plain,
( ! [X0] :
( ~ big_r(sk7,sk2(X0))
| ~ big_p(sk1(X0))
| big_p(X0) )
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f49,f112]) ).
fof(f258,plain,
( ! [X0,X1] :
( ~ big_r(sk7,sk6(X0))
| ~ big_r(X0,X1)
| ~ big_p(sk5(X0))
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f49,f85]) ).
fof(f273,definition,
( spl0_37
<=> ! [X0] :
( ~ big_r(sk7,X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f274,plain,
( ! [X0] :
( ~ big_r(sk7,X0)
| ~ big_p(X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f307,plain,
( ~ big_p(sk3(sk7))
| big_p(sk7)
| big_p(sk7)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f255,f124]) ).
fof(f308,plain,
( ~ big_p(sk3(sk7))
| big_p(sk7)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f307]) ).
fof(f310,definition,
( spl0_45
<=> big_p(sk3(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f311,plain,
( ~ big_p(sk3(sk7))
| spl0_45 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( spl0_6
| ~ spl0_45
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f308,f123,f117,f48,f310,f66]) ).
fof(f313,plain,
( big_p(sk7)
| ~ spl0_19
| spl0_45 ),
inference(resolution,[],[f311,f128]) ).
fof(f314,plain,
( spl0_6
| ~ spl0_19
| spl0_45 ),
inference(avatar_split_clause,[],[f313,f310,f127,f66]) ).
fof(f322,plain,
( big_p(sk1(sk7))
| ~ big_p(sk8)
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f70,f96]) ).
fof(f323,plain,
( big_p(sk5(sk7))
| ~ big_p(sk8)
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f70,f104]) ).
fof(f326,definition,
( spl0_47
<=> big_p(sk5(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f328,plain,
( ~ spl0_8
| spl0_47
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f323,f103,f69,f326,f73]) ).
fof(f330,definition,
( spl0_48
<=> big_p(sk1(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f332,plain,
( ~ spl0_8
| spl0_48
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f322,f95,f69,f330,f73]) ).
fof(f335,plain,
( ~ big_p(sk1(sk7))
| big_p(sk7)
| big_p(sk7)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_20 ),
inference(resolution,[],[f257,f139]) ).
fof(f336,plain,
( ~ big_p(sk1(sk7))
| big_p(sk7)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f359,plain,
( ! [X0,X1] :
( ~ big_r(sk9,X0)
| ~ big_p(X0)
| ~ big_p(sk5(sk9))
| ~ big_r(sk9,X1)
| ~ big_p(X1) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f185,f100]) ).
fof(f362,definition,
( spl0_50
<=> big_p(sk5(sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f369,plain,
( spl0_22
| ~ spl0_50
| spl0_22
| ~ spl0_2
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f359,f99,f84,f51,f167,f362,f167]) ).
fof(f394,plain,
( ~ big_p(sk1(sk7))
| spl0_48 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f412,plain,
( ! [X0,X1] :
( ~ big_r(sk7,X0)
| ~ big_p(sk5(sk7))
| ~ big_p(X0)
| ~ big_r(sk7,X1)
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f258,f100]) ).
fof(f426,plain,
( spl0_37
| ~ spl0_47
| spl0_37
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f412,f99,f84,f48,f273,f326,f273]) ).
fof(f429,plain,
( ~ big_p(sk8)
| ~ spl0_7
| ~ spl0_37 ),
inference(resolution,[],[f274,f70]) ).
fof(f434,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f429,f273,f69,f73]) ).
fof(f436,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_r(sk7,sk2(X0))
| ~ big_p(X1)
| ~ big_p(sk1(X0)) )
| ~ spl0_1
| ~ spl0_11 ),
inference(resolution,[],[f88,f49]) ).
fof(f437,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_r(sk9,sk2(X0))
| ~ big_p(X1)
| ~ big_p(sk1(X0)) )
| ~ spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f88,f52]) ).
fof(f450,plain,
( ! [X0,X1] :
( ~ big_r(sk7,X0)
| ~ big_p(X0)
| ~ big_p(sk1(sk7))
| ~ big_r(sk7,X1)
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(resolution,[],[f436,f92]) ).
fof(f458,plain,
( spl0_37
| ~ spl0_48
| spl0_37
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f450,f91,f87,f48,f273,f330,f273]) ).
fof(f463,plain,
( big_p(sk1(sk9))
| ~ big_p(sk10)
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f59,f96]) ).
fof(f480,plain,
( ! [X0,X1] :
( ~ big_r(sk9,X0)
| ~ big_p(X0)
| ~ big_p(sk1(sk9))
| ~ big_r(sk9,X1)
| ~ big_p(X1) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(resolution,[],[f437,f92]) ).
fof(f488,plain,
( spl0_22
| ~ spl0_33
| spl0_22
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f480,f91,f87,f51,f167,f240,f167]) ).
fof(f489,plain,
( big_p(sk7)
| ~ spl0_21
| spl0_48 ),
inference(resolution,[],[f394,f145]) ).
fof(f506,plain,
( ~ big_p(sk10)
| ~ spl0_4
| ~ spl0_22 ),
inference(resolution,[],[f168,f59]) ).
fof(f511,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f506,f167,f58,f62]) ).
fof(f520,plain,
( big_p(sk5(sk9))
| ~ big_p(sk10)
| ~ spl0_4
| ~ spl0_15 ),
inference(resolution,[],[f104,f59]) ).
fof(f522,plain,
( ~ spl0_5
| spl0_50
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f520,f103,f58,f362,f62]) ).
fof(f523,plain,
( ~ spl0_5
| spl0_33
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f463,f95,f58,f240,f62]) ).
fof(f524,plain,
( spl0_6
| ~ spl0_21
| spl0_48 ),
inference(avatar_split_clause,[],[f489,f330,f144,f66]) ).
fof(f530,plain,
( spl0_6
| ~ spl0_48
| ~ spl0_1
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f336,f138,f111,f48,f330,f66]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f53]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f64]) ).
cnf(s4,plain,
( spl0_2
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f71]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f75]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f76]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f77]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f78]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f79]) ).
cnf(s10,plain,
( ~ spl0_9
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f89]) ).
cnf(s11,plain,
( ~ spl0_9
| spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f93]) ).
cnf(s12,plain,
( ~ spl0_9
| spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f97]) ).
cnf(s13,plain,
( ~ spl0_9
| spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f101]) ).
cnf(s14,plain,
( ~ spl0_9
| spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f105]) ).
cnf(s15,plain,
( ~ spl0_9
| spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f106]) ).
cnf(s16,plain,
( ~ spl0_9
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f107]) ).
cnf(s17,plain,
( ~ spl0_9
| spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f108]) ).
cnf(s18,plain,
( ~ spl0_9
| spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f109]) ).
cnf(s21,plain,
( ~ spl0_9
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f115]) ).
cnf(s31,plain,
( ~ spl0_9
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f134]) ).
cnf(s32,plain,
( ~ spl0_9
| spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f135]) ).
cnf(s33,plain,
( ~ spl0_9
| spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f136]) ).
cnf(s36,plain,
( ~ spl0_9
| spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f142]) ).
cnf(s37,plain,
( ~ spl0_9
| spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f146]) ).
cnf(s38,plain,
( ~ spl0_9
| spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f147]) ).
cnf(s39,plain,
( ~ spl0_9
| spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f148]) ).
cnf(s40,plain,
( ~ spl0_9
| spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f149]) ).
cnf(s41,plain,
( ~ spl0_9
| spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f150]) ).
cnf(s42,plain,
( ~ spl0_9
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f151]) ).
cnf(s43,plain,
( ~ spl0_9
| spl0_17
| spl0_21 ),
inference(sat_conversion,[],[f152]) ).
cnf(s44,plain,
( ~ spl0_9
| spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f153]) ).
cnf(s45,plain,
( ~ spl0_9
| spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f154]) ).
cnf(s46,plain,
spl0_9,
inference(sat_conversion,[],[f156]) ).
cnf(s49,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_17
| ~ spl0_18
| ~ spl0_27 ),
inference(sat_conversion,[],[f191]) ).
cnf(s50,plain,
( spl0_3
| ~ spl0_19
| spl0_27 ),
inference(sat_conversion,[],[f193]) ).
cnf(s56,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_16
| ~ spl0_20
| ~ spl0_33 ),
inference(sat_conversion,[],[f242]) ).
cnf(s58,plain,
( spl0_3
| ~ spl0_21
| spl0_33 ),
inference(sat_conversion,[],[f245]) ).
cnf(s69,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_45 ),
inference(sat_conversion,[],[f312]) ).
cnf(s70,plain,
( spl0_6
| ~ spl0_19
| spl0_45 ),
inference(sat_conversion,[],[f314]) ).
cnf(s72,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_15
| spl0_47 ),
inference(sat_conversion,[],[f328]) ).
cnf(s73,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| spl0_48 ),
inference(sat_conversion,[],[f332]) ).
cnf(s77,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_14
| ~ spl0_2
| spl0_22
| ~ spl0_50 ),
inference(sat_conversion,[],[f369]) ).
cnf(s78,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_14
| spl0_22
| ~ spl0_50 ),
inference(rat,[],[s77]) ).
cnf(s83,plain,
( spl0_37
| ~ spl0_10
| ~ spl0_14
| ~ spl0_1
| spl0_37
| ~ spl0_47 ),
inference(sat_conversion,[],[f426]) ).
cnf(s84,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_14
| spl0_37
| ~ spl0_47 ),
inference(rat,[],[s83]) ).
cnf(s86,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f434]) ).
cnf(s88,plain,
( spl0_37
| ~ spl0_11
| ~ spl0_12
| ~ spl0_1
| spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f458]) ).
cnf(s89,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| spl0_37
| ~ spl0_48 ),
inference(rat,[],[s88]) ).
cnf(s93,plain,
( spl0_22
| ~ spl0_11
| ~ spl0_12
| ~ spl0_2
| spl0_22
| ~ spl0_33 ),
inference(sat_conversion,[],[f488]) ).
cnf(s94,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_22
| ~ spl0_33 ),
inference(rat,[],[s93]) ).
cnf(s97,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f511]) ).
cnf(s98,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| spl0_50 ),
inference(sat_conversion,[],[f522]) ).
cnf(s99,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| spl0_33 ),
inference(sat_conversion,[],[f523]) ).
cnf(s101,plain,
( spl0_6
| ~ spl0_21
| spl0_48 ),
inference(sat_conversion,[],[f524]) ).
cnf(s104,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_16
| ~ spl0_20
| ~ spl0_48 ),
inference(sat_conversion,[],[f530]) ).
cnf(s107,plain,
( spl0_19
| spl0_21 ),
inference(rat,[],[s45,s46]) ).
cnf(s108,plain,
( spl0_18
| spl0_21 ),
inference(rat,[],[s44,s46]) ).
cnf(s109,plain,
( spl0_17
| spl0_21 ),
inference(rat,[],[s43,s46]) ).
cnf(s110,plain,
( spl0_19
| spl0_20 ),
inference(rat,[],[s42,s46]) ).
cnf(s111,plain,
( spl0_18
| spl0_20 ),
inference(rat,[],[s41,s46]) ).
cnf(s112,plain,
( spl0_17
| spl0_20 ),
inference(rat,[],[s40,s46]) ).
cnf(s113,plain,
( spl0_15
| spl0_21 ),
inference(rat,[],[s39,s46]) ).
cnf(s114,plain,
( spl0_14
| spl0_21 ),
inference(rat,[],[s38,s46]) ).
cnf(s115,plain,
( spl0_10
| spl0_21 ),
inference(rat,[],[s37,s46]) ).
cnf(s116,plain,
( spl0_15
| spl0_20 ),
inference(rat,[],[s36,s46]) ).
cnf(s119,plain,
( spl0_16
| spl0_19 ),
inference(rat,[],[s33,s46]) ).
cnf(s120,plain,
( spl0_16
| spl0_18 ),
inference(rat,[],[s32,s46]) ).
cnf(s121,plain,
( spl0_16
| spl0_17 ),
inference(rat,[],[s31,s46]) ).
cnf(s131,plain,
( spl0_15
| spl0_16 ),
inference(rat,[],[s21,s46]) ).
cnf(s134,plain,
( spl0_13
| spl0_15 ),
inference(rat,[],[s18,s46]) ).
cnf(s135,plain,
( spl0_12
| spl0_15 ),
inference(rat,[],[s17,s46]) ).
cnf(s136,plain,
( spl0_13
| spl0_14 ),
inference(rat,[],[s16,s46]) ).
cnf(s137,plain,
( spl0_12
| spl0_14 ),
inference(rat,[],[s15,s46]) ).
cnf(s138,plain,
( spl0_11
| spl0_15 ),
inference(rat,[],[s14,s46]) ).
cnf(s139,plain,
( spl0_11
| spl0_14 ),
inference(rat,[],[s13,s46]) ).
cnf(s140,plain,
( spl0_10
| spl0_13 ),
inference(rat,[],[s12,s46]) ).
cnf(s141,plain,
( spl0_10
| spl0_12 ),
inference(rat,[],[s11,s46]) ).
cnf(s142,plain,
( spl0_10
| spl0_11 ),
inference(rat,[],[s10,s46]) ).
cnf(s144,plain,
( spl0_21
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s49,s50,s109,s108,s107]) ).
cnf(s145,plain,
( spl0_20
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s49,s50,s112,s111,s110]) ).
cnf(s146,plain,
( ~ spl0_20
| spl0_3
| ~ spl0_2
| ~ spl0_33 ),
inference(rat,[],[s49,s50,s121,s120,s119,s56]) ).
cnf(s147,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s146,s145,s58,s144]) ).
cnf(s148,plain,
( spl0_13
| spl0_1 ),
inference(rat,[],[s78,s98,s140,s136,s134,s97,s2,s3,s147,s1]) ).
cnf(s150,plain,
( spl0_15
| spl0_1 ),
inference(rat,[],[s94,s138,s135,s97,s99,s148,s3,s2,s147,s1]) ).
cnf(s151,plain,
( spl0_14
| spl0_1 ),
inference(rat,[],[s94,s139,s137,s97,s99,s148,s3,s2,s147,s1]) ).
cnf(s152,plain,
spl0_1,
inference(rat,[],[s94,s142,s141,s78,s151,s98,s150,s99,s148,s97,s2,s3,s147,s1]) ).
cnf(s153,plain,
( spl0_15
| spl0_22
| ~ spl0_33
| ~ spl0_2 ),
inference(rat,[],[s94,s138,s135]) ).
cnf(s154,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_10
| ~ spl0_33
| ~ spl0_2 ),
inference(rat,[],[s94,s139,s137,s78,s98,s153,s97]) ).
cnf(s155,plain,
( spl0_6
| ~ spl0_19
| ~ spl0_18
| ~ spl0_17 ),
inference(rat,[],[s70,s69,s152]) ).
cnf(s156,plain,
( ~ spl0_6
| spl0_15
| spl0_5
| ~ spl0_3 ),
inference(rat,[],[s89,s86,s73,s7,s9,s134,s135,s138,s152]) ).
cnf(s157,plain,
( spl0_15
| spl0_5
| ~ spl0_21
| ~ spl0_3 ),
inference(rat,[],[s101,s104,s156,s131,s116,s152]) ).
cnf(s158,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| spl0_5
| ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s84,s86,s72,s7,s9,s152]) ).
cnf(s159,plain,
( spl0_16
| spl0_6 ),
inference(rat,[],[s121,s155,s120,s119]) ).
cnf(s160,plain,
( ~ spl0_16
| spl0_6
| ~ spl0_48 ),
inference(rat,[],[s155,s112,s111,s110,s104,s152]) ).
cnf(s161,plain,
( spl0_6
| ~ spl0_21 ),
inference(rat,[],[s160,s159,s101]) ).
cnf(s162,plain,
( spl0_5
| ~ spl0_21
| ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s73,s89,s139,s137,s136,s86,s158,s7,s9,s157,s161,s152]) ).
cnf(s163,plain,
( spl0_15
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s89,s73,s138,s135,s134,s86,s152]) ).
cnf(s164,plain,
( ~ spl0_21
| ~ spl0_10
| ~ spl0_33
| ~ spl0_2 ),
inference(rat,[],[s89,s73,s139,s137,s136,s84,s72,s163,s86,s8,s6,s154,s162,s161,s147,s152]) ).
cnf(s165,plain,
( ~ spl0_10
| ~ spl0_33
| ~ spl0_2 ),
inference(rat,[],[s84,s72,s86,s8,s6,s154,s158,s155,s114,s113,s109,s108,s107,s164,s147,s152]) ).
cnf(s166,plain,
( spl0_5
| spl0_10
| ~ spl0_3 ),
inference(rat,[],[s89,s73,s86,s7,s9,s140,s141,s142,s161,s115,s152]) ).
cnf(s167,plain,
( ~ spl0_33
| ~ spl0_2 ),
inference(rat,[],[s89,s73,s86,s8,s6,s97,s166,s94,s161,s142,s141,s140,s115,s165,s147,s152]) ).
cnf(s168,plain,
( spl0_5
| ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s158,s155,s114,s113,s109,s108,s107,s162]) ).
cnf(s169,plain,
spl0_6,
inference(rat,[],[s155,s109,s108,s107,s161]) ).
cnf(s171,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s163,s8,s6,s99,s134,s147,s167,s169]) ).
cnf(s172,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s136,s78,s99,s98,s97,s167,s171,s168,s147]) ).
cnf(s173,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s89,s73,s139,s137,s136,s84,s72,s86,s8,s6,s172,s171,s168,s147,s152,s169]) ).
cnf(s174,plain,
~ spl0_2,
inference(rat,[],[s89,s73,s86,s8,s6,s99,s166,s142,s141,s140,s173,s167,s147,s152,s169]) ).
cnf(s175,plain,
spl0_8,
inference(rat,[],[s5,s174,s169]) ).
cnf(s176,plain,
spl0_7,
inference(rat,[],[s4,s174,s169]) ).
cnf(s177,plain,
~ spl0_37,
inference(rat,[],[s86,s175,s176]) ).
cnf(s178,plain,
spl0_15,
inference(rat,[],[s163,s175,s176]) ).
cnf(s179,plain,
spl0_47,
inference(rat,[],[s72,s175,s176,s178]) ).
cnf(s180,plain,
spl0_14,
inference(rat,[],[s89,s73,s139,s137,s136,s152,s177,s176,s175]) ).
cnf(s181,plain,
~ spl0_10,
inference(rat,[],[s84,s179,s152,s177,s180]) ).
cnf(s186,plain,
spl0_13,
inference(rat,[],[s140,s181]) ).
cnf(s187,plain,
spl0_12,
inference(rat,[],[s141,s181]) ).
cnf(s188,plain,
spl0_11,
inference(rat,[],[s142,s181]) ).
cnf(s189,plain,
spl0_48,
inference(rat,[],[s73,s175,s176,s186]) ).
cnf(s190,plain,
$false,
inference(rat,[],[s89,s187,s177,s152,s188,s189]) ).
fof(f533,plain,
$false,
inference(avatar_sat_refutation,[],[s190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:28:49 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.66/0.97 % (3467888)Input is clausal, will run a generic CNF schedule.
% 0.66/0.97 % (3467899)dis-21_1_sil=8000:lcm=predicate:random_seed=1485623606: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)
% 0.66/0.97 % (3467899)First to succeed.
% 0.66/0.97 % (3467899)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3467888"
% 0.66/0.97 % (3467897)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1326680033:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.66/0.97 % (3467893)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=904357998:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.66/0.97 % (3467896)lrs+10_1_sil=8000:sp=occurrence:random_seed=1177202276:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.66/0.97 % (3467898)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2262779716:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.66/0.97 % (3467894)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3211806878:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.66/0.97 % (3467895)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=175128125:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.66/0.97 % (3467898)Also succeeded, but the first one will report.
% 0.66/0.97 % (3467897)Also succeeded, but the first one will report.
% 0.66/0.97 % (3467896)Also succeeded, but the first one will report.
% 0.66/0.97 % (3467899)Refutation found. Thanks to Tanya!
% 0.66/0.97 % SZS status Unsatisfiable for theBenchmark
% 0.66/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.16 % (3467899)------------------------------
% 2.79/1.16 % (3467899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.16 % (3467899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.16 % (3467899)CaDiCaL version: 2.1.3
% 2.79/1.16 % (3467899)Termination reason: Refutation
% 2.79/1.16 % (3467899)Time elapsed: 0.006 s
% 2.79/1.16 % (3467899)Peak memory usage: 89 MB
% 2.79/1.16 % (3467899)Instructions burned: 15 (million)
% 2.79/1.16 % (3467899)------------------------------
% 2.79/1.16 % (3467899)------------------------------
% 2.79/1.16 % (3467888)Success in time 0.301 s
% 2.79/1.16 % Vampire exiting
%------------------------------------------------------------------------------