%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO248^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 : Wed Sep 30 08:49:36 AM UTC 2026
% Result : Theorem 0.21s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 83 ( 24 unt; 0 typ; 13 def)
% Number of atoms : 963 ( 216 equ; 0 cnn)
% Maximal formula atoms : 32 ( 11 avg)
% Number of connectives : 892 ( 188 ~; 174 |; 71 &; 432 @)
% ( 13 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 26 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_13,type,
sK0: $i > $i > $o ).
thf(f1,conjecture,
! [X0: $i > $i > $o] :
( ( ( ( ( ( X0 @ e )
!= ( X0 @ hh ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ bb )
= ( X0 @ c ) )
& ( ( X0 @ b )
= ( X0 @ bb ) ) )
=> ( ( X0 @ d )
= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ c )
= ( X0 @ dd ) )
& ( ( X0 @ h )
= ( X0 @ hh ) )
& ( ( X0 @ e )
= ( X0 @ ee ) ) )
=> ( ( X0 @ a )
!= ( X0 @ bb ) ) )
& ( ( ( ( X0 @ b )
!= ( X0 @ cc ) )
& ( ( X0 @ d )
= ( X0 @ dd ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ a )
!= ( X0 @ bb ) )
& ( ( X0 @ d )
= ( X0 @ dd ) )
& ( ( X0 @ cc )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) ) )
=> ( ( X0 @ e )
!= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ b )
= ( X0 @ cc ) )
& ( ( X0 @ h )
= ( X0 @ hh ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ d )
!= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ e )
= ( X0 @ hh ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ c )
= ( X0 @ dd ) ) ) )
=> ( ( ( X0 @ h )
!= ( X0 @ hh ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ d )
!= ( X0 @ dd ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIXFRIENDS_AGAIN) ).
thf(f2,negated_conjecture,
~ ! [X0: $i > $i > $o] :
( ( ( ( ( ( X0 @ e )
!= ( X0 @ hh ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ bb )
= ( X0 @ c ) )
& ( ( X0 @ b )
= ( X0 @ bb ) ) )
=> ( ( X0 @ d )
= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ c )
= ( X0 @ dd ) )
& ( ( X0 @ h )
= ( X0 @ hh ) )
& ( ( X0 @ e )
= ( X0 @ ee ) ) )
=> ( ( X0 @ a )
!= ( X0 @ bb ) ) )
& ( ( ( ( X0 @ b )
!= ( X0 @ cc ) )
& ( ( X0 @ d )
= ( X0 @ dd ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ a )
!= ( X0 @ bb ) )
& ( ( X0 @ d )
= ( X0 @ dd ) )
& ( ( X0 @ cc )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) ) )
=> ( ( X0 @ e )
!= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ b )
= ( X0 @ cc ) )
& ( ( X0 @ h )
= ( X0 @ hh ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ d )
!= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ e )
= ( X0 @ hh ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ c )
= ( X0 @ dd ) ) ) )
=> ( ( ( X0 @ h )
!= ( X0 @ hh ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ d )
!= ( X0 @ dd ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
? [X0: $i > $i > $o] :
( ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( X0 @ dd )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( ( X0 @ d )
= ( X0 @ ee ) )
| ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ bb )
!= ( X0 @ c ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) ) )
& ( ( ( X0 @ a )
!= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ dd ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) ) )
& ( ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ b )
= ( X0 @ cc ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) )
& ( ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ a )
= ( X0 @ bb ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ cc )
!= ( X0 @ d ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) ) )
& ( ( ( X0 @ d )
!= ( X0 @ ee ) )
| ( ( X0 @ b )
!= ( X0 @ cc ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) )
& ( ( ( X0 @ c )
= ( X0 @ dd ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
? [X0: $i > $i > $o] :
( ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( X0 @ dd )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( ( X0 @ d )
= ( X0 @ ee ) )
| ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ bb )
!= ( X0 @ c ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) ) )
& ( ( ( X0 @ a )
!= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ dd ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) ) )
& ( ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ b )
= ( X0 @ cc ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) )
& ( ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ a )
= ( X0 @ bb ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ cc )
!= ( X0 @ d ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) ) )
& ( ( ( X0 @ d )
!= ( X0 @ ee ) )
| ( ( X0 @ b )
!= ( X0 @ cc ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) )
& ( ( ( X0 @ c )
= ( X0 @ dd ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) ) ),
inference(flattening,[],[f3]) ).
thf(f5,plain,
( ( ( sK0 @ hh )
= ( sK0 @ h ) )
& ( ( sK0 @ e )
= ( sK0 @ ee ) )
& ( ( sK0 @ dd )
= ( sK0 @ d ) )
& ( ( sK0 @ c )
= ( sK0 @ cc ) )
& ( ( sK0 @ b )
= ( sK0 @ bb ) )
& ( ( sK0 @ a )
= ( sK0 @ aa ) )
& ( ( ( sK0 @ ee )
= ( sK0 @ d ) )
| ( ( sK0 @ hh )
= ( sK0 @ e ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ c )
!= ( sK0 @ bb ) )
| ( ( sK0 @ b )
!= ( sK0 @ bb ) ) )
& ( ( ( sK0 @ bb )
!= ( sK0 @ a ) )
| ( ( sK0 @ dd )
!= ( sK0 @ c ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ e )
!= ( sK0 @ ee ) ) )
& ( ( ( sK0 @ hh )
= ( sK0 @ e ) )
| ( ( sK0 @ cc )
= ( sK0 @ b ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) ) )
& ( ( ( sK0 @ hh )
!= ( sK0 @ e ) )
| ( ( sK0 @ bb )
= ( sK0 @ a ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ d )
!= ( sK0 @ cc ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) ) )
& ( ( ( sK0 @ ee )
!= ( sK0 @ d ) )
| ( ( sK0 @ cc )
!= ( sK0 @ b ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) ) )
& ( ( ( sK0 @ dd )
= ( sK0 @ c ) )
| ( ( sK0 @ hh )
!= ( sK0 @ e ) )
| ( ( sK0 @ b )
!= ( sK0 @ bb ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).
thf(f6,plain,
( ( ( sK0 @ dd )
= ( sK0 @ c ) )
| ( ( sK0 @ hh )
!= ( sK0 @ e ) )
| ( ( sK0 @ b )
!= ( sK0 @ bb ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
( ( ( sK0 @ ee )
!= ( sK0 @ d ) )
| ( ( sK0 @ cc )
!= ( sK0 @ b ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f8,plain,
( ( ( sK0 @ hh )
!= ( sK0 @ e ) )
| ( ( sK0 @ bb )
= ( sK0 @ a ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ d )
!= ( sK0 @ cc ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f9,plain,
( ( ( sK0 @ hh )
= ( sK0 @ e ) )
| ( ( sK0 @ cc )
= ( sK0 @ b ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f10,plain,
( ( ( sK0 @ bb )
!= ( sK0 @ a ) )
| ( ( sK0 @ dd )
!= ( sK0 @ c ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ e )
!= ( sK0 @ ee ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f11,plain,
( ( ( sK0 @ ee )
= ( sK0 @ d ) )
| ( ( sK0 @ hh )
= ( sK0 @ e ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ c )
!= ( sK0 @ bb ) )
| ( ( sK0 @ b )
!= ( sK0 @ bb ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f12,plain,
( ( sK0 @ a )
= ( sK0 @ aa ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f13,plain,
( ( sK0 @ b )
= ( sK0 @ bb ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f14,plain,
( ( sK0 @ c )
= ( sK0 @ cc ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f15,plain,
( ( sK0 @ dd )
= ( sK0 @ d ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f16,plain,
( ( sK0 @ e )
= ( sK0 @ ee ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f17,plain,
( ( sK0 @ hh )
= ( sK0 @ h ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f21,definition,
( spl1_1
<=> ( ( sK0 @ a )
= ( sK0 @ aa ) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f25,definition,
( spl1_2
<=> ( ( sK0 @ b )
= ( sK0 @ bb ) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f26,plain,
( ( ( sK0 @ b )
= ( sK0 @ bb ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
thf(f29,definition,
( spl1_3
<=> ( ( sK0 @ hh )
= ( sK0 @ e ) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
thf(f33,definition,
( spl1_4
<=> ( ( sK0 @ dd )
= ( sK0 @ c ) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
thf(f35,plain,
( ( ( sK0 @ dd )
= ( sK0 @ c ) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f33]) ).
thf(f36,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f6,f33,f29,f25,f21]) ).
thf(f38,definition,
( spl1_5
<=> ( ( sK0 @ hh )
= ( sK0 @ h ) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
thf(f42,definition,
( spl1_6
<=> ( ( sK0 @ cc )
= ( sK0 @ b ) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
thf(f43,plain,
( ( ( sK0 @ cc )
= ( sK0 @ b ) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f42]) ).
thf(f46,definition,
( spl1_7
<=> ( ( sK0 @ ee )
= ( sK0 @ d ) ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
thf(f49,plain,
( ~ spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f7,f46,f42,f38,f21]) ).
thf(f51,definition,
( spl1_8
<=> ( ( sK0 @ c )
= ( sK0 @ cc ) ) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
thf(f52,plain,
( ( ( sK0 @ c )
= ( sK0 @ cc ) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f51]) ).
thf(f55,definition,
( spl1_9
<=> ( ( sK0 @ d )
= ( sK0 @ cc ) ) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
thf(f57,plain,
( ( ( sK0 @ d )
!= ( sK0 @ cc ) )
| spl1_9 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f59,definition,
( spl1_10
<=> ( ( sK0 @ dd )
= ( sK0 @ d ) ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
thf(f60,plain,
( ( ( sK0 @ dd )
= ( sK0 @ d ) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f63,definition,
( spl1_11
<=> ( ( sK0 @ bb )
= ( sK0 @ a ) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
thf(f66,plain,
( ~ spl1_8
| ~ spl1_9
| ~ spl1_10
| spl1_11
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f8,f29,f63,f59,f55,f51]) ).
thf(f67,plain,
( ~ spl1_1
| ~ spl1_10
| spl1_6
| spl1_3 ),
inference(avatar_split_clause,[],[f9,f29,f42,f59,f21]) ).
thf(f69,definition,
( spl1_12
<=> ( ( sK0 @ e )
= ( sK0 @ ee ) ) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
thf(f72,plain,
( ~ spl1_12
| ~ spl1_5
| ~ spl1_4
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f10,f63,f33,f38,f69]) ).
thf(f74,definition,
( spl1_13
<=> ( ( sK0 @ c )
= ( sK0 @ bb ) ) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
thf(f76,plain,
( ( ( sK0 @ c )
!= ( sK0 @ bb ) )
| spl1_13 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f77,plain,
( ~ spl1_2
| ~ spl1_13
| ~ spl1_8
| spl1_3
| spl1_7 ),
inference(avatar_split_clause,[],[f11,f46,f29,f51,f74,f25]) ).
thf(f78,plain,
spl1_1,
inference(avatar_split_clause,[],[f12,f21]) ).
thf(f79,plain,
spl1_2,
inference(avatar_split_clause,[],[f13,f25]) ).
thf(f80,plain,
spl1_8,
inference(avatar_split_clause,[],[f14,f51]) ).
thf(f81,plain,
spl1_10,
inference(avatar_split_clause,[],[f15,f59]) ).
thf(f82,plain,
spl1_12,
inference(avatar_split_clause,[],[f16,f69]) ).
thf(f83,plain,
spl1_5,
inference(avatar_split_clause,[],[f17,f38]) ).
thf(f84,plain,
( ( ( sK0 @ cc )
!= ( sK0 @ bb ) )
| ~ spl1_8
| spl1_13 ),
inference(forward_demodulation,[],[f76,f52]) ).
thf(f119,plain,
( ( ( sK0 @ cc )
= ( sK0 @ bb ) )
| ~ spl1_2
| ~ spl1_6 ),
inference(constrained_superposition,[],[f43,f26]) ).
thf(f125,plain,
( $false
| ~ spl1_2
| ~ spl1_6
| ~ spl1_8
| spl1_13 ),
inference(forward_subsumption_resolution,[],[f119,f84]) ).
thf(f126,plain,
( ~ spl1_2
| ~ spl1_6
| ~ spl1_8
| spl1_13 ),
inference(avatar_contradiction_clause,[],[f125]) ).
thf(f127,plain,
( ( ( sK0 @ dd )
= ( sK0 @ cc ) )
| ~ spl1_4
| ~ spl1_8 ),
inference(forward_demodulation,[],[f35,f52]) ).
thf(f129,plain,
( ( ( sK0 @ d )
= ( sK0 @ cc ) )
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_demodulation,[],[f127,f60]) ).
thf(f130,plain,
( $false
| ~ spl1_4
| ~ spl1_8
| spl1_9
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f129,f57]) ).
thf(f131,plain,
( ~ spl1_4
| ~ spl1_8
| spl1_9
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f130]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7 ),
inference(sat_conversion,[],[f49]) ).
cnf(s3,plain,
( ~ spl1_3
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10
| spl1_11 ),
inference(sat_conversion,[],[f66]) ).
cnf(s4,plain,
( ~ spl1_1
| spl1_3
| spl1_6
| ~ spl1_10 ),
inference(sat_conversion,[],[f67]) ).
cnf(s5,plain,
( ~ spl1_4
| ~ spl1_5
| ~ spl1_11
| ~ spl1_12 ),
inference(sat_conversion,[],[f72]) ).
cnf(s6,plain,
( ~ spl1_2
| spl1_3
| spl1_7
| ~ spl1_8
| ~ spl1_13 ),
inference(sat_conversion,[],[f77]) ).
cnf(s7,plain,
spl1_1,
inference(sat_conversion,[],[f78]) ).
cnf(s8,plain,
spl1_2,
inference(sat_conversion,[],[f79]) ).
cnf(s9,plain,
spl1_8,
inference(sat_conversion,[],[f80]) ).
cnf(s10,plain,
spl1_10,
inference(sat_conversion,[],[f81]) ).
cnf(s11,plain,
spl1_12,
inference(sat_conversion,[],[f82]) ).
cnf(s12,plain,
spl1_5,
inference(sat_conversion,[],[f83]) ).
cnf(s17,plain,
( ~ spl1_2
| ~ spl1_6
| ~ spl1_8
| spl1_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s18,plain,
( ~ spl1_4
| ~ spl1_8
| spl1_9
| ~ spl1_10 ),
inference(sat_conversion,[],[f131]) ).
cnf(s19,plain,
( spl1_3
| spl1_7
| ~ spl1_13 ),
inference(rat,[],[s6,s9,s8]) ).
cnf(s20,plain,
( ~ spl1_4
| ~ spl1_11 ),
inference(rat,[],[s5,s11,s12]) ).
cnf(s21,plain,
( spl1_3
| spl1_6 ),
inference(rat,[],[s4,s10,s7]) ).
cnf(s22,plain,
( ~ spl1_3
| ~ spl1_9
| spl1_11 ),
inference(rat,[],[s3,s10,s9]) ).
cnf(s23,plain,
( ~ spl1_6
| ~ spl1_7 ),
inference(rat,[],[s2,s12,s7]) ).
cnf(s24,plain,
( ~ spl1_3
| spl1_4 ),
inference(rat,[],[s1,s8,s7]) ).
cnf(s25,plain,
spl1_3,
inference(rat,[],[s19,s23,s17,s21,s9,s8]) ).
cnf(s26,plain,
spl1_4,
inference(rat,[],[s24,s25]) ).
cnf(s27,plain,
spl1_9,
inference(rat,[],[s18,s10,s9,s26]) ).
cnf(s28,plain,
~ spl1_11,
inference(rat,[],[s20,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s22,s25,s27,s28]) ).
thf(f132,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO248^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n002.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 16:43:53 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.22 Running first-order model finding
% 0.06/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.26 % (1528401)Will run a generic schedule for satisfiability detection.
% 0.21/0.26 % (1528406)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2866138895_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.26 % Exception at run slice level
% 0.21/0.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.26 % (1528407)% WARNING: option uhcvi not known.
% 0.21/0.26 % (1528407)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3760750110:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.26 % (1528408)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3907750619:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.26 % (1528409)dis+10_1_sil=32000:sp=arity:random_seed=1230946504:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.26 % (1528407)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.26 % (1528410)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1035705453:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.26 % (1528412)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1758791131:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.26 % (1528411)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1933252668:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.26 % (1528410)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.26 % (1528407)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.21/0.26 % (1528414)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2144439535:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.26 % Exception at run slice level
% 0.21/0.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.26 % (1528410) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1528401-1528410"...
% 0.21/0.26 % (1528411) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1528401-1528411"...
% 0.21/0.26 % (1528410)...printing done.
% 0.21/0.26 % (1528411)...printing done.
% 0.21/0.26 % (1528410)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Theorem for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (1528410)------------------------------
% 0.21/0.27 % (1528410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (1528410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (1528410)CaDiCaL version: 2.1.3
% 0.21/0.27 % (1528410)Termination reason: Refutation
% 0.21/0.27 % (1528410)Time elapsed: 0.005 s
% 0.21/0.27 % (1528410)Peak memory usage: 12 MB
% 0.21/0.27 % (1528410)Instructions burned: 8 (million)
% 0.21/0.27 % (1528401)Success in time 0.039 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------