%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO248^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:47:17 AM UTC 2026
% Result : Theorem 0.23s 0.36s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 84 ( 18 unt; 0 typ; 11 def)
% Number of atoms : 1080 ( 243 equ; 0 cnn)
% Maximal formula atoms : 32 ( 12 avg)
% Number of connectives : 965 ( 199 ~; 184 |; 71 &; 486 @)
% ( 11 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 27 ( 25 usr; 24 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 @ b )
!= ( X0 @ cc ) )
& ( ( X0 @ d )
= ( X0 @ dd ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ e )
!= ( X0 @ hh ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ bb )
= ( X0 @ c ) )
& ( ( X0 @ b )
= ( X0 @ bb ) ) )
=> ( ( X0 @ d )
= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ h )
= ( X0 @ hh ) )
& ( ( X0 @ c )
= ( X0 @ dd ) )
& ( ( X0 @ e )
= ( X0 @ ee ) ) )
=> ( ( X0 @ a )
!= ( X0 @ bb ) ) )
& ( ( ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ e )
= ( X0 @ hh ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ c )
= ( X0 @ dd ) ) )
& ( ( ( ( X0 @ h )
= ( X0 @ hh ) )
& ( ( X0 @ b )
= ( X0 @ cc ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ d )
!= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ a )
!= ( X0 @ bb ) )
& ( ( X0 @ d )
= ( X0 @ dd ) )
& ( ( X0 @ cc )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) ) )
=> ( ( X0 @ e )
!= ( X0 @ hh ) ) ) )
=> ( ( ( X0 @ d )
!= ( X0 @ dd ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ h )
!= ( X0 @ hh ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIXFRIENDS_AGAIN) ).
thf(f2,negated_conjecture,
~ ! [X0: $i > $i > $o] :
( ( ( ( ( ( X0 @ b )
!= ( X0 @ cc ) )
& ( ( X0 @ d )
= ( X0 @ dd ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ e )
!= ( X0 @ hh ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ bb )
= ( X0 @ c ) )
& ( ( X0 @ b )
= ( X0 @ bb ) ) )
=> ( ( X0 @ d )
= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ h )
= ( X0 @ hh ) )
& ( ( X0 @ c )
= ( X0 @ dd ) )
& ( ( X0 @ e )
= ( X0 @ ee ) ) )
=> ( ( X0 @ a )
!= ( X0 @ bb ) ) )
& ( ( ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ e )
= ( X0 @ hh ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ c )
= ( X0 @ dd ) ) )
& ( ( ( ( X0 @ h )
= ( X0 @ hh ) )
& ( ( X0 @ b )
= ( X0 @ cc ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ d )
!= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ a )
!= ( X0 @ bb ) )
& ( ( X0 @ d )
= ( X0 @ dd ) )
& ( ( X0 @ cc )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) ) )
=> ( ( X0 @ e )
!= ( X0 @ hh ) ) ) )
=> ( ( ( X0 @ d )
!= ( X0 @ dd ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ h )
!= ( X0 @ hh ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
? [X0: $i > $i > $o] :
( ( ( X0 @ dd )
= ( X0 @ d ) )
& ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ b )
= ( X0 @ cc ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( 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 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ c )
!= ( X0 @ dd ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) ) )
& ( ( ( X0 @ c )
= ( X0 @ dd ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) )
& ( ( ( X0 @ d )
!= ( X0 @ ee ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ b )
!= ( X0 @ cc ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) )
& ( ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ a )
= ( X0 @ bb ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ cc )
!= ( X0 @ d ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
? [X0: $i > $i > $o] :
( ( ( ( X0 @ d )
!= ( X0 @ ee ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ b )
!= ( X0 @ cc ) ) )
& ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ d )
= ( X0 @ ee ) )
| ( ( X0 @ bb )
!= ( X0 @ c ) )
| ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( ( X0 @ a )
!= ( X0 @ bb ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ c )
!= ( X0 @ dd ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) ) )
& ( ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ a )
= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ cc )
!= ( X0 @ d ) ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ c )
= ( X0 @ dd ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) ) )
& ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ b )
= ( X0 @ cc ) )
| ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( X0 @ dd )
= ( X0 @ d ) ) ),
inference(flattening,[],[f3]) ).
thf(f5,plain,
( ( ( ( sK0 @ ee )
!= ( sK0 @ d ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ cc )
!= ( sK0 @ b ) ) )
& ( ( sK0 @ ee )
= ( sK0 @ e ) )
& ( ( ( sK0 @ b )
!= ( sK0 @ bb ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ ee )
= ( sK0 @ d ) )
| ( ( sK0 @ c )
!= ( sK0 @ bb ) )
| ( ( sK0 @ hh )
= ( sK0 @ e ) ) )
& ( ( sK0 @ b )
= ( sK0 @ bb ) )
& ( ( ( sK0 @ a )
!= ( sK0 @ bb ) )
| ( ( sK0 @ ee )
!= ( sK0 @ e ) )
| ( ( sK0 @ c )
!= ( sK0 @ dd ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) ) )
& ( ( ( sK0 @ hh )
!= ( sK0 @ e ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ a )
= ( sK0 @ bb ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ d )
!= ( sK0 @ cc ) ) )
& ( ( sK0 @ c )
= ( sK0 @ cc ) )
& ( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ hh )
!= ( sK0 @ e ) )
| ( ( sK0 @ c )
= ( sK0 @ dd ) )
| ( ( sK0 @ b )
!= ( sK0 @ bb ) ) )
& ( ( sK0 @ hh )
= ( sK0 @ h ) )
& ( ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ cc )
= ( sK0 @ b ) )
| ( ( sK0 @ hh )
= ( sK0 @ e ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) ) )
& ( ( sK0 @ a )
= ( sK0 @ aa ) )
& ( ( sK0 @ dd )
= ( sK0 @ d ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).
thf(f6,plain,
( ( sK0 @ dd )
= ( sK0 @ d ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
( ( sK0 @ a )
= ( sK0 @ aa ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f8,plain,
( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ hh )
= ( sK0 @ e ) )
| ( ( sK0 @ cc )
= ( sK0 @ b ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f9,plain,
( ( sK0 @ hh )
= ( sK0 @ h ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f10,plain,
( ( ( sK0 @ c )
= ( sK0 @ dd ) )
| ( ( sK0 @ hh )
!= ( sK0 @ e ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ b )
!= ( sK0 @ bb ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f11,plain,
( ( sK0 @ c )
= ( sK0 @ cc ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f12,plain,
( ( ( sK0 @ a )
= ( sK0 @ bb ) )
| ( ( sK0 @ d )
!= ( sK0 @ cc ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ hh )
!= ( sK0 @ e ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f13,plain,
( ( ( sK0 @ ee )
!= ( sK0 @ e ) )
| ( ( sK0 @ a )
!= ( sK0 @ bb ) )
| ( ( sK0 @ c )
!= ( sK0 @ dd ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f14,plain,
( ( sK0 @ b )
= ( sK0 @ bb ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f15,plain,
( ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ ee )
= ( sK0 @ d ) )
| ( ( sK0 @ b )
!= ( sK0 @ bb ) )
| ( ( sK0 @ c )
!= ( sK0 @ bb ) )
| ( ( sK0 @ hh )
= ( sK0 @ e ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f16,plain,
( ( sK0 @ ee )
= ( sK0 @ e ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f17,plain,
( ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ ee )
!= ( sK0 @ d ) )
| ( ( sK0 @ cc )
!= ( sK0 @ b ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f21,definition,
( spl1_1
<=> ( ( sK0 @ hh )
= ( sK0 @ e ) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f25,definition,
( spl1_2
<=> ( ( sK0 @ a )
= ( sK0 @ aa ) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f29,definition,
( spl1_3
<=> ( ( sK0 @ dd )
= ( sK0 @ d ) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
thf(f30,plain,
( ( ( sK0 @ dd )
= ( sK0 @ d ) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f29]) ).
thf(f33,definition,
( spl1_4
<=> ( ( sK0 @ cc )
= ( sK0 @ b ) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
thf(f35,plain,
( ( ( sK0 @ cc )
= ( sK0 @ b ) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f33]) ).
thf(f36,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f8,f33,f29,f25,f21]) ).
thf(f37,plain,
spl1_3,
inference(avatar_split_clause,[],[f6,f29]) ).
thf(f39,definition,
( spl1_5
<=> ( ( sK0 @ d )
= ( sK0 @ cc ) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
thf(f41,plain,
( ( ( sK0 @ d )
!= ( sK0 @ cc ) )
| spl1_5 ),
inference(avatar_component_clause,[],[f39]) ).
thf(f43,definition,
( spl1_6
<=> ( ( sK0 @ a )
= ( sK0 @ bb ) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
thf(f47,definition,
( spl1_7
<=> ( ( sK0 @ c )
= ( sK0 @ cc ) ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
thf(f48,plain,
( ( ( sK0 @ c )
= ( sK0 @ cc ) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f47]) ).
thf(f50,plain,
( ~ spl1_5
| spl1_6
| ~ spl1_3
| ~ spl1_1
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f12,f47,f21,f29,f43,f39]) ).
thf(f51,plain,
( ( ( sK0 @ c )
!= ( sK0 @ dd ) )
| ( ( sK0 @ a )
!= ( sK0 @ bb ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) ) ),
inference(forward_subsumption_resolution,[],[f13,f16]) ).
thf(f52,plain,
( ( ( sK0 @ ee )
= ( sK0 @ d ) )
| ( ( sK0 @ c )
!= ( sK0 @ bb ) )
| ( ( sK0 @ hh )
= ( sK0 @ e ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) ) ),
inference(forward_subsumption_resolution,[],[f15,f14]) ).
thf(f53,plain,
spl1_7,
inference(avatar_split_clause,[],[f11,f47]) ).
thf(f54,plain,
( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ c )
= ( sK0 @ dd ) )
| ( ( sK0 @ hh )
!= ( sK0 @ e ) ) ),
inference(forward_subsumption_resolution,[],[f10,f14]) ).
thf(f55,plain,
( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ cc )
!= ( sK0 @ b ) )
| ( ( sK0 @ d )
!= ( sK0 @ e ) ) ),
inference(forward_demodulation,[],[f17,f16]) ).
thf(f56,plain,
spl1_2,
inference(avatar_split_clause,[],[f7,f25]) ).
thf(f57,plain,
( ( ( sK0 @ c )
!= ( sK0 @ dd ) )
| ( ( sK0 @ a )
!= ( sK0 @ bb ) ) ),
inference(forward_subsumption_resolution,[],[f51,f9]) ).
thf(f58,plain,
( ( ( sK0 @ hh )
= ( sK0 @ e ) )
| ( ( sK0 @ c )
!= ( sK0 @ bb ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ d )
= ( sK0 @ e ) ) ),
inference(forward_demodulation,[],[f52,f16]) ).
thf(f60,definition,
( spl1_8
<=> ( ( sK0 @ c )
= ( sK0 @ dd ) ) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
thf(f62,plain,
( ( ( sK0 @ c )
= ( sK0 @ dd ) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f63,plain,
( ~ spl1_1
| spl1_8
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f54,f25,f60,f21]) ).
thf(f64,plain,
( ( ( sK0 @ cc )
!= ( sK0 @ b ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ d )
!= ( sK0 @ e ) ) ),
inference(forward_subsumption_resolution,[],[f55,f9]) ).
thf(f65,plain,
( ~ spl1_6
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f57,f60,f43]) ).
thf(f67,definition,
( spl1_9
<=> ( ( sK0 @ d )
= ( sK0 @ e ) ) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
thf(f71,definition,
( spl1_10
<=> ( ( sK0 @ c )
= ( sK0 @ bb ) ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
thf(f73,plain,
( ( ( sK0 @ c )
!= ( sK0 @ bb ) )
| spl1_10 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f74,plain,
( spl1_9
| ~ spl1_10
| ~ spl1_7
| spl1_1 ),
inference(avatar_split_clause,[],[f58,f21,f47,f71,f67]) ).
thf(f75,plain,
( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ d )
!= ( sK0 @ e ) )
| ( ( sK0 @ cc )
!= ( sK0 @ bb ) ) ),
inference(forward_demodulation,[],[f64,f14]) ).
thf(f77,definition,
( spl1_11
<=> ( ( sK0 @ cc )
= ( sK0 @ bb ) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
thf(f79,plain,
( ( ( sK0 @ cc )
!= ( sK0 @ bb ) )
| spl1_11 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f80,plain,
( ~ spl1_2
| ~ spl1_9
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f75,f77,f67,f25]) ).
thf(f147,plain,
( ( ( sK0 @ c )
!= ( sK0 @ d ) )
| spl1_5
| ~ spl1_7 ),
inference(forward_demodulation,[],[f41,f48]) ).
thf(f239,plain,
( ( ( sK0 @ cc )
= ( sK0 @ bb ) )
| ~ spl1_4 ),
inference(constrained_superposition,[],[f14,f35]) ).
thf(f255,plain,
( $false
| ~ spl1_4
| spl1_11 ),
inference(forward_subsumption_resolution,[],[f239,f79]) ).
thf(f256,plain,
( ~ spl1_4
| spl1_11 ),
inference(avatar_contradiction_clause,[],[f255]) ).
thf(f295,plain,
( ( ( sK0 @ c )
= ( sK0 @ bb ) )
| ~ spl1_4
| ~ spl1_7 ),
inference(forward_demodulation,[],[f239,f48]) ).
thf(f300,plain,
( $false
| ~ spl1_4
| ~ spl1_7
| spl1_10 ),
inference(forward_subsumption_resolution,[],[f295,f73]) ).
thf(f301,plain,
( ~ spl1_4
| ~ spl1_7
| spl1_10 ),
inference(avatar_contradiction_clause,[],[f300]) ).
thf(f344,plain,
( ( ( sK0 @ c )
= ( sK0 @ d ) )
| ( ( sK0 @ dd )
!= ( sK0 @ cc ) )
| ~ spl1_3
| ~ spl1_7 ),
inference(constrained_superposition,[],[f30,f48]) ).
thf(f354,plain,
( ( ( sK0 @ dd )
!= ( sK0 @ cc ) )
| ~ spl1_3
| spl1_5
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f344,f147]) ).
thf(f362,plain,
( ( ( sK0 @ c )
!= ( sK0 @ dd ) )
| ~ spl1_3
| spl1_5
| ~ spl1_7 ),
inference(forward_demodulation,[],[f354,f48]) ).
thf(f367,plain,
( $false
| ~ spl1_3
| spl1_5
| ~ spl1_7
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f362,f62]) ).
thf(f368,plain,
( ~ spl1_3
| spl1_5
| ~ spl1_7
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f367]) ).
cnf(s1,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
spl1_3,
inference(sat_conversion,[],[f37]) ).
cnf(s3,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_5
| spl1_6
| ~ spl1_7 ),
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
spl1_7,
inference(sat_conversion,[],[f53]) ).
cnf(s5,plain,
spl1_2,
inference(sat_conversion,[],[f56]) ).
cnf(s6,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_8 ),
inference(sat_conversion,[],[f63]) ).
cnf(s7,plain,
( ~ spl1_6
| ~ spl1_8 ),
inference(sat_conversion,[],[f65]) ).
cnf(s8,plain,
( spl1_1
| ~ spl1_7
| spl1_9
| ~ spl1_10 ),
inference(sat_conversion,[],[f74]) ).
cnf(s9,plain,
( ~ spl1_2
| ~ spl1_9
| ~ spl1_11 ),
inference(sat_conversion,[],[f80]) ).
cnf(s14,plain,
( ~ spl1_4
| spl1_11 ),
inference(sat_conversion,[],[f256]) ).
cnf(s23,plain,
( ~ spl1_4
| ~ spl1_7
| spl1_10 ),
inference(sat_conversion,[],[f301]) ).
cnf(s27,plain,
( ~ spl1_3
| spl1_5
| ~ spl1_7
| ~ spl1_8 ),
inference(sat_conversion,[],[f368]) ).
cnf(s28,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(rat,[],[s3,s4]) ).
cnf(s29,plain,
( spl1_1
| spl1_4 ),
inference(rat,[],[s1,s2,s5]) ).
cnf(s30,plain,
spl1_1,
inference(rat,[],[s9,s8,s14,s23,s29,s5,s4]) ).
cnf(s31,plain,
spl1_8,
inference(rat,[],[s6,s5,s30]) ).
cnf(s32,plain,
~ spl1_6,
inference(rat,[],[s7,s31]) ).
cnf(s33,plain,
spl1_5,
inference(rat,[],[s27,s2,s4,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s28,s30,s2,s33,s32]) ).
thf(f370,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n004.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 16:41:07 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.26 Running higher-order theorem proving
% 0.23/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.36 % (1535598)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.36 % (1535604)lrs+10_16_si=on:nwc=1.5:random_seed=3391086074:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.36 % (1535604) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1535598-1535604"...
% 0.23/0.36 % (1535604)...printing done.
% 0.23/0.36 % (1535604)Refutation found. Thanks to Tanya!
% 0.23/0.36 % SZS status Theorem for theBenchmark
% 0.23/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.36 % (1535604)------------------------------
% 0.23/0.36 % (1535604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.36 % (1535604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.36 % (1535604)CaDiCaL version: 2.1.3
% 0.23/0.36 % (1535604)Termination reason: Refutation
% 0.23/0.36 % (1535604)Time elapsed: 0.010 s
% 0.23/0.36 % (1535604)Peak memory usage: 13 MB
% 0.23/0.36 % (1535604)Instructions burned: 19 (million)
% 0.23/0.36 % (1535598)Success in time 0.047 s
% 0.23/0.36 % Vampire exiting
%------------------------------------------------------------------------------