%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO248^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:53:46 AM UTC 2026
% Result : Theorem 1.74s 1.41s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 10 unt; 0 typ; 10 def)
% Number of atoms : 1268 ( 307 equ; 0 cnn)
% Maximal formula atoms : 64 ( 21 avg)
% Number of connectives : 1108 ( 194 ~; 182 |; 93 &; 614 @)
% ( 10 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 23 con; 0-2 aty)
% Number of variables : 5 ( 0 ^; 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_15,type,
sK0: $i > $i > $o ).
thf(f88,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f37,f51,f62,f66,f70,f71,f72,f73,f79,f83,f86]) ).
thf(f86,plain,
( spl1_8
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[status(thm)],[f85]) ).
thf(f85,plain,
( $false
| spl1_8
| ~ spl1_10 ),
inference(subsumption_resolution,[status(thm)],[f84,f57]) ).
thf(f57,plain,
( ( ( sK0 @ bb )
!= ( sK0 @ cc ) )
| spl1_8 ),
inference(avatar_component_clause,[status(thm)],[f55]) ).
thf(f55,definition,
( spl1_8
<=> ( ( sK0 @ bb )
= ( sK0 @ cc ) ) ),
introduced(definition,[new_symbols(naming,[spl1_8])],[avatar_definition]) ).
thf(f84,plain,
( ( ( sK0 @ bb )
= ( sK0 @ cc ) )
| ~ spl1_10 ),
inference(backward_demodulation,[status(thm)],[f16,f78]) ).
thf(f78,plain,
( ( ( sK0 @ cc )
= ( sK0 @ b ) )
| ~ spl1_10 ),
inference(avatar_component_clause,[status(thm)],[f76]) ).
thf(f76,definition,
( spl1_10
<=> ( ( sK0 @ cc )
= ( sK0 @ b ) ) ),
introduced(definition,[new_symbols(naming,[spl1_10])],[avatar_definition]) ).
thf(f16,plain,
( ( sK0 @ bb )
= ( sK0 @ b ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( sK0 @ hh )
= ( sK0 @ h ) )
& ( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ dd )
= ( sK0 @ c ) )
| ( ( sK0 @ e )
!= ( sK0 @ hh ) )
| ( ( sK0 @ bb )
!= ( sK0 @ b ) ) )
& ( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) )
| ( ( sK0 @ cc )
= ( sK0 @ b ) ) )
& ( ( sK0 @ bb )
= ( sK0 @ b ) )
& ( ( sK0 @ e )
= ( sK0 @ ee ) )
& ( ( ( sK0 @ bb )
= ( sK0 @ a ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ d )
!= ( sK0 @ cc ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ e )
!= ( sK0 @ hh ) ) )
& ( ( sK0 @ a )
= ( sK0 @ aa ) )
& ( ( ( sK0 @ cc )
!= ( sK0 @ b ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ d )
!= ( sK0 @ ee ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) ) )
& ( ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ e )
!= ( sK0 @ ee ) )
| ( ( sK0 @ dd )
!= ( sK0 @ c ) )
| ( ( sK0 @ bb )
!= ( sK0 @ a ) ) )
& ( ( ( sK0 @ d )
= ( sK0 @ ee ) )
| ( ( sK0 @ bb )
!= ( sK0 @ c ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ bb )
!= ( sK0 @ b ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) ) )
& ( ( sK0 @ dd )
= ( sK0 @ d ) )
& ( ( sK0 @ c )
= ( sK0 @ cc ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
thf(f6,plain,
( ? [X0: $i > $i > $o] :
( ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ c )
= ( X0 @ dd ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) ) )
& ( ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ b )
= ( X0 @ cc ) ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( ( X0 @ a )
= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ cc )
!= ( X0 @ d ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( ( X0 @ b )
!= ( X0 @ cc ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ d )
!= ( X0 @ ee ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) ) )
& ( ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ c )
!= ( X0 @ dd ) )
| ( ( X0 @ a )
!= ( X0 @ bb ) ) )
& ( ( ( X0 @ d )
= ( X0 @ ee ) )
| ( ( X0 @ bb )
!= ( X0 @ c ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( X0 @ dd )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) ) )
=> ( ( ( sK0 @ hh )
= ( sK0 @ h ) )
& ( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ dd )
= ( sK0 @ c ) )
| ( ( sK0 @ e )
!= ( sK0 @ hh ) )
| ( ( sK0 @ bb )
!= ( sK0 @ b ) ) )
& ( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) )
| ( ( sK0 @ cc )
= ( sK0 @ b ) ) )
& ( ( sK0 @ bb )
= ( sK0 @ b ) )
& ( ( sK0 @ e )
= ( sK0 @ ee ) )
& ( ( ( sK0 @ bb )
= ( sK0 @ a ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ d )
!= ( sK0 @ cc ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ e )
!= ( sK0 @ hh ) ) )
& ( ( sK0 @ a )
= ( sK0 @ aa ) )
& ( ( ( sK0 @ cc )
!= ( sK0 @ b ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ d )
!= ( sK0 @ ee ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) ) )
& ( ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ e )
!= ( sK0 @ ee ) )
| ( ( sK0 @ dd )
!= ( sK0 @ c ) )
| ( ( sK0 @ bb )
!= ( sK0 @ a ) ) )
& ( ( ( sK0 @ d )
= ( sK0 @ ee ) )
| ( ( sK0 @ bb )
!= ( sK0 @ c ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ bb )
!= ( sK0 @ b ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) ) )
& ( ( sK0 @ dd )
= ( sK0 @ d ) )
& ( ( sK0 @ c )
= ( sK0 @ cc ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f5,plain,
? [X0: $i > $i > $o] :
( ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ c )
= ( X0 @ dd ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) ) )
& ( ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ b )
= ( X0 @ cc ) ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( ( X0 @ a )
= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ cc )
!= ( X0 @ d ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( ( X0 @ b )
!= ( X0 @ cc ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ d )
!= ( X0 @ ee ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) ) )
& ( ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ c )
!= ( X0 @ dd ) )
| ( ( X0 @ a )
!= ( X0 @ bb ) ) )
& ( ( ( X0 @ d )
= ( X0 @ ee ) )
| ( ( X0 @ bb )
!= ( X0 @ c ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( X0 @ dd )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) ) ),
inference(flattening,[status(thm)],[f4]) ).
thf(f4,plain,
? [X0: $i > $i > $o] :
( ( ( X0 @ dd )
= ( X0 @ d ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( ( X0 @ d )
= ( X0 @ ee ) )
| ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ bb )
!= ( X0 @ c ) ) )
& ( ( ( X0 @ e )
= ( X0 @ hh ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) )
| ( ( X0 @ b )
= ( X0 @ cc ) ) )
& ( ( ( X0 @ d )
!= ( X0 @ ee ) )
| ( ( X0 @ b )
!= ( X0 @ cc ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) )
& ( ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ a )
= ( X0 @ bb ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ cc )
!= ( X0 @ d ) )
| ( ( X0 @ dd )
!= ( X0 @ d ) ) )
& ( ( ( X0 @ a )
!= ( X0 @ bb ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ c )
!= ( X0 @ dd ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) ) )
& ( ( ( X0 @ c )
= ( X0 @ dd ) )
| ( ( X0 @ e )
!= ( X0 @ hh ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) ) ),
inference(ennf_transformation,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: $i > $i > $o] :
( ( ( ( ( ( X0 @ e )
!= ( X0 @ hh ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ bb )
= ( X0 @ c ) ) )
=> ( ( X0 @ d )
= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ dd )
= ( X0 @ d ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( X0 @ b )
!= ( X0 @ cc ) ) )
=> ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ b )
= ( X0 @ cc ) )
& ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ d )
!= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ a )
!= ( X0 @ bb ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ cc )
= ( X0 @ d ) )
& ( ( X0 @ dd )
= ( X0 @ d ) ) )
=> ( ( X0 @ e )
!= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( X0 @ c )
= ( X0 @ dd ) )
& ( ( X0 @ hh )
= ( X0 @ h ) ) )
=> ( ( X0 @ a )
!= ( X0 @ bb ) ) )
& ( ( ( ( X0 @ e )
= ( X0 @ hh ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ c )
= ( X0 @ dd ) ) ) )
=> ( ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: $i > $i > $o] :
( ( ( ( ( ( X0 @ e )
!= ( X0 @ hh ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ bb )
= ( X0 @ c ) ) )
=> ( ( X0 @ d )
= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ dd )
= ( X0 @ d ) )
& ( ( X0 @ a )
= ( X0 @ aa ) )
& ( ( X0 @ b )
!= ( X0 @ cc ) ) )
=> ( ( X0 @ e )
= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ b )
= ( X0 @ cc ) )
& ( ( X0 @ hh )
= ( X0 @ h ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ d )
!= ( X0 @ ee ) ) )
& ( ( ( ( X0 @ a )
!= ( X0 @ bb ) )
& ( ( X0 @ c )
= ( X0 @ cc ) )
& ( ( X0 @ cc )
= ( X0 @ d ) )
& ( ( X0 @ dd )
= ( X0 @ d ) ) )
=> ( ( X0 @ e )
!= ( X0 @ hh ) ) )
& ( ( ( ( X0 @ e )
= ( X0 @ ee ) )
& ( ( X0 @ c )
= ( X0 @ dd ) )
& ( ( X0 @ hh )
= ( X0 @ h ) ) )
=> ( ( X0 @ a )
!= ( X0 @ bb ) ) )
& ( ( ( ( X0 @ e )
= ( X0 @ hh ) )
& ( ( X0 @ b )
= ( X0 @ bb ) )
& ( ( X0 @ a )
= ( X0 @ aa ) ) )
=> ( ( X0 @ c )
= ( X0 @ dd ) ) ) )
=> ( ( ( X0 @ dd )
!= ( X0 @ d ) )
| ( ( X0 @ c )
!= ( X0 @ cc ) )
| ( ( X0 @ e )
!= ( X0 @ ee ) )
| ( ( X0 @ b )
!= ( X0 @ bb ) )
| ( ( X0 @ hh )
!= ( X0 @ h ) )
| ( ( X0 @ a )
!= ( X0 @ aa ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.a2jkK2Jrhg/DTF2THF_26635.p',cSIXFRIENDS_AGAIN) ).
thf(f83,plain,
( ~ spl1_1
| spl1_4
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[status(thm)],[f82]) ).
thf(f82,plain,
( $false
| ~ spl1_1
| spl1_4
| ~ spl1_6 ),
inference(subsumption_resolution,[status(thm)],[f81,f36]) ).
thf(f36,plain,
( ( ( sK0 @ d )
!= ( sK0 @ cc ) )
| spl1_4 ),
inference(avatar_component_clause,[status(thm)],[f34]) ).
thf(f34,definition,
( spl1_4
<=> ( ( sK0 @ d )
= ( sK0 @ cc ) ) ),
introduced(definition,[new_symbols(naming,[spl1_4])],[avatar_definition]) ).
thf(f81,plain,
( ( ( sK0 @ d )
= ( sK0 @ cc ) )
| ~ spl1_1
| ~ spl1_6 ),
inference(forward_demodulation,[status(thm)],[f45,f23]) ).
thf(f23,plain,
( ( ( sK0 @ dd )
= ( sK0 @ d ) )
| ~ spl1_1 ),
inference(avatar_component_clause,[status(thm)],[f22]) ).
thf(f22,definition,
( spl1_1
<=> ( ( sK0 @ dd )
= ( sK0 @ d ) ) ),
introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition]) ).
thf(f45,plain,
( ( ( sK0 @ dd )
= ( sK0 @ cc ) )
| ~ spl1_6 ),
inference(avatar_component_clause,[status(thm)],[f44]) ).
thf(f44,definition,
( spl1_6
<=> ( ( sK0 @ dd )
= ( sK0 @ cc ) ) ),
introduced(definition,[new_symbols(naming,[spl1_6])],[avatar_definition]) ).
thf(f79,plain,
( ~ spl1_1
| spl1_3
| spl1_10 ),
inference(avatar_split_clause,[status(thm)],[f74,f76,f30,f22]) ).
thf(f30,definition,
( spl1_3
<=> ( ( sK0 @ e )
= ( sK0 @ hh ) ) ),
introduced(definition,[new_symbols(naming,[spl1_3])],[avatar_definition]) ).
thf(f74,plain,
( ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ cc )
= ( sK0 @ b ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) ) ),
inference(subsumption_resolution,[status(thm)],[f17,f13]) ).
thf(f13,plain,
( ( sK0 @ a )
= ( sK0 @ aa ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f17,plain,
( ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) )
| ( ( sK0 @ cc )
= ( sK0 @ b ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f73,plain,
spl1_7,
inference(avatar_split_clause,[status(thm)],[f19,f48]) ).
thf(f48,definition,
( spl1_7
<=> ( ( sK0 @ hh )
= ( sK0 @ h ) ) ),
introduced(definition,[new_symbols(naming,[spl1_7])],[avatar_definition]) ).
thf(f19,plain,
( ( sK0 @ hh )
= ( sK0 @ h ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f72,plain,
spl1_5,
inference(avatar_split_clause,[status(thm)],[f15,f40]) ).
thf(f40,definition,
( spl1_5
<=> ( ( sK0 @ e )
= ( sK0 @ ee ) ) ),
introduced(definition,[new_symbols(naming,[spl1_5])],[avatar_definition]) ).
thf(f15,plain,
( ( sK0 @ e )
= ( sK0 @ ee ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f71,plain,
spl1_1,
inference(avatar_split_clause,[status(thm)],[f9,f22]) ).
thf(f9,plain,
( ( sK0 @ dd )
= ( sK0 @ d ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f70,plain,
( ~ spl1_8
| spl1_3
| spl1_9 ),
inference(avatar_split_clause,[status(thm)],[f69,f59,f30,f55]) ).
thf(f59,definition,
( spl1_9
<=> ( ( sK0 @ d )
= ( sK0 @ ee ) ) ),
introduced(definition,[new_symbols(naming,[spl1_9])],[avatar_definition]) ).
thf(f69,plain,
( ( ( sK0 @ bb )
!= ( sK0 @ cc ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) )
| ( ( sK0 @ d )
= ( sK0 @ ee ) ) ),
inference(forward_demodulation,[status(thm)],[f68,f8]) ).
thf(f8,plain,
( ( sK0 @ c )
= ( sK0 @ cc ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f68,plain,
( ( ( sK0 @ e )
= ( sK0 @ hh ) )
| ( ( sK0 @ bb )
!= ( sK0 @ c ) )
| ( ( sK0 @ d )
= ( sK0 @ ee ) ) ),
inference(subsumption_resolution,[status(thm)],[f67,f16]) ).
thf(f67,plain,
( ( ( sK0 @ bb )
!= ( sK0 @ c ) )
| ( ( sK0 @ d )
= ( sK0 @ ee ) )
| ( ( sK0 @ bb )
!= ( sK0 @ b ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) ) ),
inference(subsumption_resolution,[status(thm)],[f10,f8]) ).
thf(f10,plain,
( ( ( sK0 @ bb )
!= ( sK0 @ c ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ d )
= ( sK0 @ ee ) )
| ( ( sK0 @ e )
= ( sK0 @ hh ) )
| ( ( sK0 @ bb )
!= ( sK0 @ b ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f66,plain,
( spl1_6
| ~ spl1_3 ),
inference(avatar_split_clause,[status(thm)],[f65,f30,f44]) ).
thf(f65,plain,
( ( ( sK0 @ e )
!= ( sK0 @ hh ) )
| ( ( sK0 @ dd )
= ( sK0 @ cc ) ) ),
inference(forward_demodulation,[status(thm)],[f64,f8]) ).
thf(f64,plain,
( ( ( sK0 @ e )
!= ( sK0 @ hh ) )
| ( ( sK0 @ dd )
= ( sK0 @ c ) ) ),
inference(subsumption_resolution,[status(thm)],[f63,f16]) ).
thf(f63,plain,
( ( ( sK0 @ bb )
!= ( sK0 @ b ) )
| ( ( sK0 @ dd )
= ( sK0 @ c ) )
| ( ( sK0 @ e )
!= ( sK0 @ hh ) ) ),
inference(subsumption_resolution,[status(thm)],[f18,f13]) ).
thf(f18,plain,
( ( ( sK0 @ dd )
= ( sK0 @ c ) )
| ( ( sK0 @ e )
!= ( sK0 @ hh ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) )
| ( ( sK0 @ bb )
!= ( sK0 @ b ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f62,plain,
( ~ spl1_8
| ~ spl1_9
| ~ spl1_7 ),
inference(avatar_split_clause,[status(thm)],[f53,f48,f59,f55]) ).
thf(f53,plain,
( ( ( sK0 @ bb )
!= ( sK0 @ cc ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ d )
!= ( sK0 @ ee ) ) ),
inference(forward_demodulation,[status(thm)],[f52,f16]) ).
thf(f52,plain,
( ( ( sK0 @ d )
!= ( sK0 @ ee ) )
| ( ( sK0 @ cc )
!= ( sK0 @ b ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) ) ),
inference(subsumption_resolution,[status(thm)],[f12,f13]) ).
thf(f12,plain,
( ( ( sK0 @ cc )
!= ( sK0 @ b ) )
| ( ( sK0 @ d )
!= ( sK0 @ ee ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ a )
!= ( sK0 @ aa ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f51,plain,
( ~ spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7 ),
inference(avatar_split_clause,[status(thm)],[f38,f48,f44,f40,f26]) ).
thf(f26,definition,
( spl1_2
<=> ( ( sK0 @ bb )
= ( sK0 @ a ) ) ),
introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition]) ).
thf(f38,plain,
( ( ( sK0 @ bb )
!= ( sK0 @ a ) )
| ( ( sK0 @ dd )
!= ( sK0 @ cc ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) )
| ( ( sK0 @ e )
!= ( sK0 @ ee ) ) ),
inference(forward_demodulation,[status(thm)],[f11,f8]) ).
thf(f11,plain,
( ( ( sK0 @ e )
!= ( sK0 @ ee ) )
| ( ( sK0 @ bb )
!= ( sK0 @ a ) )
| ( ( sK0 @ dd )
!= ( sK0 @ c ) )
| ( ( sK0 @ hh )
!= ( sK0 @ h ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f37,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[status(thm)],[f20,f34,f30,f26,f22]) ).
thf(f20,plain,
( ( ( sK0 @ e )
!= ( sK0 @ hh ) )
| ( ( sK0 @ bb )
= ( sK0 @ a ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ d )
!= ( sK0 @ cc ) ) ),
inference(subsumption_resolution,[status(thm)],[f14,f8]) ).
thf(f14,plain,
( ( ( sK0 @ e )
!= ( sK0 @ hh ) )
| ( ( sK0 @ c )
!= ( sK0 @ cc ) )
| ( ( sK0 @ bb )
= ( sK0 @ a ) )
| ( ( sK0 @ dd )
!= ( sK0 @ d ) )
| ( ( sK0 @ d )
!= ( sK0 @ cc ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO248^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.30 % Computer : n005.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Feb 24 14:26:44 EST 2026
% 0.11/0.31 % CPUTime :
% 0.11/0.31 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.40 ---- Original DTF file ---
% 0.17/0.40 thf(spec,logic,$$dhol).
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 % File : SYO248^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.40 % Domain : Syntactic
% 0.17/0.40 % Problem : TPS problem from BASIC-HO-EQ-THMS
% 0.17/0.40 % Version : Especial.
% 0.17/0.40 % English :
% 0.17/0.40
% 0.17/0.40 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.40 % Source : [Bro09]
% 0.17/0.40 % Names : tps_1199 [Bro09]
% 0.17/0.40
% 0.17/0.40 % Status : Theorem
% 0.17/0.40 % Rating : 0.00 v9.0.0, 0.10 v8.2.0, 0.08 v8.1.0, 0.09 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.43 v6.0.0, 0.57 v5.5.0, 0.50 v5.4.0, 0.60 v4.1.0, 1.00 v4.0.0
% 0.17/0.40 % Syntax : Number of formulae : 13 ( 0 unt; 12 typ; 0 def)
% 0.17/0.40 % Number of atoms : 32 ( 32 equ; 0 cnn)
% 0.17/0.40 % Maximal formula atoms : 32 ( 32 avg)
% 0.17/0.40 % Number of connectives : 107 ( 12 ~; 5 |; 19 &; 64 @)
% 0.17/0.40 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.17/0.40 % Maximal formula depth : 13 ( 13 avg)
% 0.17/0.40 % Number of types : 2 ( 0 usr)
% 0.17/0.40 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.17/0.40 % Number of symbols : 13 ( 12 usr; 12 con; 0-2 aty)
% 0.17/0.40 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.17/0.40 % SPC : TH0_THM_EQU_NAR
% 0.17/0.40
% 0.17/0.40 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.40 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.40 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.40 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 thf(hh,type,
% 0.17/0.40 hh: $i ).
% 0.17/0.40
% 0.17/0.40 thf(h,type,
% 0.17/0.40 h: $i ).
% 0.17/0.40
% 0.17/0.40 thf(ee,type,
% 0.17/0.40 ee: $i ).
% 0.17/0.40
% 0.17/0.40 thf(e,type,
% 0.17/0.40 e: $i ).
% 0.17/0.40
% 0.17/0.40 thf(dd,type,
% 0.17/0.40 dd: $i ).
% 0.17/0.40
% 0.17/0.40 thf(d,type,
% 0.17/0.40 d: $i ).
% 0.17/0.40
% 0.17/0.40 thf(cc,type,
% 0.17/0.40 cc: $i ).
% 0.17/0.40
% 0.17/0.40 thf(c,type,
% 0.17/0.40 c: $i ).
% 0.17/0.40
% 0.17/0.40 thf(bb,type,
% 0.17/0.40 bb: $i ).
% 0.17/0.40
% 0.17/0.40 thf(b,type,
% 0.17/0.40 b: $i ).
% 0.17/0.40
% 0.17/0.40 thf(aa,type,
% 0.17/0.40 aa: $i ).
% 0.17/0.40
% 0.17/0.40 thf(a,type,
% 0.17/0.40 a: $i ).
% 0.17/0.40
% 0.17/0.40 thf(cSIXFRIENDS_AGAIN,conjecture,
% 0.17/0.40 ! [P: $i > $i > $o] :
% 0.17/0.40 ( ( ( ( ( ( P @ a )
% 0.17/0.40 = ( P @ aa ) )
% 0.17/0.40 & ( ( P @ b )
% 0.17/0.40 = ( P @ bb ) )
% 0.17/0.40 & ( ( P @ e )
% 0.17/0.40 = ( P @ hh ) ) )
% 0.17/0.40 => ( ( P @ c )
% 0.17/0.40 = ( P @ dd ) ) )
% 0.17/0.40 & ( ( ( ( P @ a )
% 0.17/0.40 = ( P @ aa ) )
% 0.17/0.40 & ( ( P @ h )
% 0.17/0.40 = ( P @ hh ) )
% 0.17/0.40 & ( ( P @ b )
% 0.17/0.40 = ( P @ cc ) ) )
% 0.17/0.40 => ( ( P @ d )
% 0.17/0.40 != ( P @ ee ) ) )
% 0.17/0.40 & ( ( ( ( P @ c )
% 0.17/0.40 = ( P @ cc ) )
% 0.17/0.40 & ( ( P @ cc )
% 0.17/0.40 = ( P @ d ) )
% 0.17/0.40 & ( ( P @ d )
% 0.17/0.40 = ( P @ dd ) )
% 0.17/0.40 & ( ( P @ a )
% 0.17/0.40 != ( P @ bb ) ) )
% 0.17/0.40 => ( ( P @ e )
% 0.17/0.40 != ( P @ hh ) ) )
% 0.17/0.40 & ( ( ( ( P @ a )
% 0.17/0.40 = ( P @ aa ) )
% 0.17/0.40 & ( ( P @ d )
% 0.17/0.40 = ( P @ dd ) )
% 0.17/0.40 & ( ( P @ b )
% 0.17/0.40 != ( P @ cc ) ) )
% 0.17/0.40 => ( ( P @ e )
% 0.17/0.40 = ( P @ hh ) ) )
% 0.17/0.40 & ( ( ( ( P @ e )
% 0.17/0.40 = ( P @ ee ) )
% 0.17/0.40 & ( ( P @ h )
% 0.17/0.40 = ( P @ hh ) )
% 0.17/0.40 & ( ( P @ c )
% 0.17/0.40 = ( P @ dd ) ) )
% 0.17/0.40 => ( ( P @ a )
% 0.17/0.40 != ( P @ bb ) ) )
% 0.17/0.40 & ( ( ( ( P @ b )
% 0.17/0.40 = ( P @ bb ) )
% 0.17/0.40 & ( ( P @ bb )
% 0.17/0.40 = ( P @ c ) )
% 0.17/0.40 & ( ( P @ c )
% 0.17/0.40 = ( P @ cc ) )
% 0.17/0.40 & ( ( P @ e )
% 0.17/0.40 != ( P @ hh ) ) )
% 0.17/0.40 => ( ( P @ d )
% 0.17/0.40 = ( P @ ee ) ) ) )
% 0.17/0.40 => ( ( ( P @ a )
% 0.17/0.40 != ( P @ aa ) )
% 0.17/0.40 | ( ( P @ b )
% 0.17/0.40 != ( P @ bb ) )
% 0.17/0.40 | ( ( P @ c )
% 0.17/0.40 != ( P @ cc ) )
% 0.17/0.40 | ( ( P @ d )
% 0.17/0.40 != ( P @ dd ) )
% 0.17/0.40 | ( ( P @ e )
% 0.17/0.40 != ( P @ ee ) )
% 0.17/0.40 | ( ( P @ h )
% 0.17/0.40 != ( P @ hh ) ) ) ) ).
% 0.17/0.40
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 ------------------------
% 1.59/1.37 ---- Embedded in THF ---
% 1.59/1.37 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.59/1.37 %%% Generated on Tue Feb 24 14:26:45 EST 2026
% 1.59/1.37 %%% using '$$dhol' embedding, version 1.3.0.
% 1.59/1.37 %%% Logic specification used:
% 1.59/1.37 %%% thf(spec, logic, $$dhol).
% 1.59/1.37
% 1.59/1.37 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.a2jkK2Jrhg/DTF2DTF26635.p
% See solution above
% 1.59/1.37 ------------------------
% 1.59/1.38 ---- Cleaned THF ---
% 1.59/1.38 thf(hh,type,
% 1.59/1.38 hh: $i ).
% 1.59/1.38
% 1.59/1.38 thf(h,type,
% 1.59/1.38 h: $i ).
% 1.59/1.38
% 1.59/1.38 thf(ee,type,
% 1.59/1.38 ee: $i ).
% 1.59/1.38
% 1.59/1.38 thf(e,type,
% 1.59/1.38 e: $i ).
% 1.59/1.38
% 1.59/1.38 thf(dd,type,
% 1.59/1.38 dd: $i ).
% 1.59/1.38
% 1.59/1.38 thf(d,type,
% 1.59/1.38 d: $i ).
% 1.59/1.38
% 1.59/1.38 thf(cc,type,
% 1.59/1.38 cc: $i ).
% 1.59/1.38
% 1.59/1.38 thf(c,type,
% 1.59/1.38 c: $i ).
% 1.59/1.38
% 1.59/1.38 thf(bb,type,
% 1.59/1.38 bb: $i ).
% 1.59/1.38
% 1.59/1.38 thf(b,type,
% 1.59/1.38 b: $i ).
% 1.59/1.38
% 1.59/1.38 thf(aa,type,
% 1.59/1.38 aa: $i ).
% 1.59/1.38
% 1.59/1.38 thf(a,type,
% 1.59/1.38 a: $i ).
% 1.59/1.38
% 1.59/1.38 thf(cSIXFRIENDS_AGAIN,conjecture,
% 1.59/1.38 ! [P: $i > $i > $o] :
% 1.59/1.38 ( ( ( ( ( ( P @ a )
% 1.59/1.38 = ( P @ aa ) )
% 1.59/1.38 & ( ( P @ b )
% 1.59/1.38 = ( P @ bb ) )
% 1.59/1.38 & ( ( P @ e )
% 1.59/1.38 = ( P @ hh ) ) )
% 1.59/1.38 => ( ( P @ c )
% 1.59/1.38 = ( P @ dd ) ) )
% 1.59/1.38 & ( ( ( ( P @ a )
% 1.59/1.38 = ( P @ aa ) )
% 1.59/1.38 & ( ( P @ h )
% 1.59/1.38 = ( P @ hh ) )
% 1.59/1.38 & ( ( P @ b )
% 1.59/1.38 = ( P @ cc ) ) )
% 1.59/1.38 => ( ( P @ d )
% 1.59/1.38 != ( P @ ee ) ) )
% 1.59/1.38 & ( ( ( ( P @ c )
% 1.59/1.38 = ( P @ cc ) )
% 1.59/1.38 & ( ( P @ cc )
% 1.59/1.38 = ( P @ d ) )
% 1.59/1.38 & ( ( P @ d )
% 1.59/1.38 = ( P @ dd ) )
% 1.59/1.38 & ( ( P @ a )
% 1.59/1.38 != ( P @ bb ) ) )
% 1.59/1.38 => ( ( P @ e )
% 1.59/1.38 != ( P @ hh ) ) )
% 1.59/1.38 & ( ( ( ( P @ a )
% 1.59/1.38 = ( P @ aa ) )
% 1.59/1.38 & ( ( P @ d )
% 1.59/1.38 = ( P @ dd ) )
% 1.59/1.38 & ( ( P @ b )
% 1.59/1.38 != ( P @ cc ) ) )
% 1.59/1.38 => ( ( P @ e )
% 1.59/1.38 = ( P @ hh ) ) )
% 1.59/1.38 & ( ( ( ( P @ e )
% 1.59/1.38 = ( P @ ee ) )
% 1.59/1.38 & ( ( P @ h )
% 1.59/1.38 = ( P @ hh ) )
% 1.59/1.38 & ( ( P @ c )
% 1.59/1.38 = ( P @ dd ) ) )
% 1.59/1.38 => ( ( P @ a )
% 1.59/1.38 != ( P @ bb ) ) )
% 1.59/1.38 & ( ( ( ( P @ b )
% 1.59/1.38 = ( P @ bb ) )
% 1.59/1.38 & ( ( P @ bb )
% 1.59/1.38 = ( P @ c ) )
% 1.59/1.38 & ( ( P @ c )
% 1.59/1.38 = ( P @ cc ) )
% 1.59/1.38 & ( ( P @ e )
% 1.59/1.38 != ( P @ hh ) ) )
% 1.59/1.38 => ( ( P @ d )
% 1.59/1.38 = ( P @ ee ) ) ) )
% 1.59/1.38 => ( ( ( P @ a )
% 1.59/1.38 != ( P @ aa ) )
% 1.59/1.38 | ( ( P @ b )
% 1.59/1.38 != ( P @ bb ) )
% 1.59/1.38 | ( ( P @ c )
% 1.59/1.38 != ( P @ cc ) )
% 1.59/1.38 | ( ( P @ d )
% 1.59/1.38 != ( P @ dd ) )
% 1.59/1.38 | ( ( P @ e )
% 1.59/1.38 != ( P @ ee ) )
% 1.59/1.38 | ( ( P @ h )
% 1.59/1.38 != ( P @ hh ) ) ) ) ).
% 1.59/1.38 ------------------------
% 1.74/1.40 % (26738)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_26635 for (2999ds/18Mi)
% 1.74/1.40 % (26734)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_26635 for (2999ds/27Mi)
% 1.74/1.40 % (26737)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_26635 for (2999ds/275Mi)
% 1.74/1.40 % (26733)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_26635 for (2999ds/4Mi)
% 1.74/1.40 % (26732)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_26635 for (2999ds/183Mi)
% 1.74/1.40 % (26735)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_26635 for (2999ds/2Mi)
% 1.74/1.40 % (26736)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_26635 for (2999ds/2Mi)
% 1.74/1.40 % (26735)Instruction limit reached!
% 1.74/1.40 % (26735)------------------------------
% 1.74/1.40 % (26735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.40 % (26735)Termination reason: Unknown
% 1.74/1.40 % (26735)Termination phase: Preprocessing 3
% 1.74/1.40
% 1.74/1.40 % (26736)Instruction limit reached!
% 1.74/1.40 % (26736)------------------------------
% 1.74/1.40 % (26736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.40 % (26735)Memory used [KB]: 895
% 1.74/1.40 % (26735)Time elapsed: 0.002 s
% 1.74/1.40 % (26735)Instructions burned: 2 (million)
% 1.74/1.40 % (26735)------------------------------
% 1.74/1.40 % (26735)------------------------------
% 1.74/1.40 % (26736)Termination reason: Unknown
% 1.74/1.40 % (26736)Termination phase: shuffling
% 1.74/1.40
% 1.74/1.40 % (26736)Memory used [KB]: 895
% 1.74/1.40 % (26736)Time elapsed: 0.002 s
% 1.74/1.40 % (26736)Instructions burned: 2 (million)
% 1.74/1.40 % (26736)------------------------------
% 1.74/1.40 % (26736)------------------------------
% 1.74/1.40 % (26733)Instruction limit reached!
% 1.74/1.40 % (26733)------------------------------
% 1.74/1.40 % (26733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.40 % (26733)Termination reason: Unknown
% 1.74/1.40 % (26733)Termination phase: Saturation
% 1.74/1.40
% 1.74/1.40 % (26733)Memory used [KB]: 5500
% 1.74/1.40 % (26733)Time elapsed: 0.005 s
% 1.74/1.40 % (26733)Instructions burned: 4 (million)
% 1.74/1.40 % (26733)------------------------------
% 1.74/1.40 % (26733)------------------------------
% 1.74/1.40 % (26738)First to succeed.
% 1.74/1.41 % (26738)Refutation found. Thanks to Tanya!
% 1.74/1.41 % SZS status Theorem for DTF2THF_26635
% 1.74/1.41 % SZS output start Proof for DTF2THF_26635
% 1.74/1.41 thf(func_def_15, type, sK0: $i > $i > $o).
% 1.74/1.41 thf(f88,plain,(
% 1.74/1.41 $false),
% 1.74/1.41 inference(avatar_sat_refutation,[status(thm)],[f37,f51,f62,f66,f70,f71,f72,f73,f79,f83,f86])).
% 1.74/1.41 thf(f86,plain,(
% 1.74/1.41 spl1_8 | ~spl1_10),
% 1.74/1.41 inference(avatar_contradiction_clause,[status(thm)],[f85])).
% 1.74/1.41 thf(f85,plain,(
% 1.74/1.41 $false | (spl1_8 | ~spl1_10)),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f84,f57])).
% 1.74/1.41 thf(f57,plain,(
% 1.74/1.41 ((sK0 @ bb) != (sK0 @ cc)) | spl1_8),
% 1.74/1.41 inference(avatar_component_clause,[status(thm)],[f55])).
% 1.74/1.41 thf(f55,definition,(
% 1.74/1.41 spl1_8 <=> ((sK0 @ bb) = (sK0 @ cc))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_8])],[avatar_definition])).
% 1.74/1.41 thf(f84,plain,(
% 1.74/1.41 ((sK0 @ bb) = (sK0 @ cc)) | ~spl1_10),
% 1.74/1.41 inference(backward_demodulation,[status(thm)],[f16,f78])).
% 1.74/1.41 thf(f78,plain,(
% 1.74/1.41 ((sK0 @ cc) = (sK0 @ b)) | ~spl1_10),
% 1.74/1.41 inference(avatar_component_clause,[status(thm)],[f76])).
% 1.74/1.41 thf(f76,definition,(
% 1.74/1.41 spl1_10 <=> ((sK0 @ cc) = (sK0 @ b))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_10])],[avatar_definition])).
% 1.74/1.41 thf(f16,plain,(
% 1.74/1.41 ((sK0 @ bb) = (sK0 @ b))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f7,plain,(
% 1.74/1.41 ((sK0 @ hh) = (sK0 @ h)) & (((sK0 @ a) != (sK0 @ aa)) | ((sK0 @ dd) = (sK0 @ c)) | ((sK0 @ e) != (sK0 @ hh)) | ((sK0 @ bb) != (sK0 @ b))) & (((sK0 @ a) != (sK0 @ aa)) | ((sK0 @ dd) != (sK0 @ d)) | ((sK0 @ e) = (sK0 @ hh)) | ((sK0 @ cc) = (sK0 @ b))) & ((sK0 @ bb) = (sK0 @ b)) & ((sK0 @ e) = (sK0 @ ee)) & (((sK0 @ bb) = (sK0 @ a)) | ((sK0 @ c) != (sK0 @ cc)) | ((sK0 @ d) != (sK0 @ cc)) | ((sK0 @ dd) != (sK0 @ d)) | ((sK0 @ e) != (sK0 @ hh))) & ((sK0 @ a) = (sK0 @ aa)) & (((sK0 @ cc) != (sK0 @ b)) | ((sK0 @ a) != (sK0 @ aa)) | ((sK0 @ d) != (sK0 @ ee)) | ((sK0 @ hh) != (sK0 @ h))) & (((sK0 @ hh) != (sK0 @ h)) | ((sK0 @ e) != (sK0 @ ee)) | ((sK0 @ dd) != (sK0 @ c)) | ((sK0 @ bb) != (sK0 @ a))) & (((sK0 @ d) = (sK0 @ ee)) | ((sK0 @ bb) != (sK0 @ c)) | ((sK0 @ c) != (sK0 @ cc)) | ((sK0 @ bb) != (sK0 @ b)) | ((sK0 @ e) = (sK0 @ hh))) & ((sK0 @ dd) = (sK0 @ d)) & ((sK0 @ c) = (sK0 @ cc))),
% 1.74/1.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6])).
% 1.74/1.41 thf(f6,plain,(
% 1.74/1.41 ? [X0 : $i > $i > $o] : (((X0 @ hh) = (X0 @ h)) & (((X0 @ a) != (X0 @ aa)) | ((X0 @ c) = (X0 @ dd)) | ((X0 @ e) != (X0 @ hh)) | ((X0 @ b) != (X0 @ bb))) & (((X0 @ a) != (X0 @ aa)) | ((X0 @ dd) != (X0 @ d)) | ((X0 @ e) = (X0 @ hh)) | ((X0 @ b) = (X0 @ cc))) & ((X0 @ b) = (X0 @ bb)) & ((X0 @ e) = (X0 @ ee)) & (((X0 @ a) = (X0 @ bb)) | ((X0 @ c) != (X0 @ cc)) | ((X0 @ cc) != (X0 @ d)) | ((X0 @ dd) != (X0 @ d)) | ((X0 @ e) != (X0 @ hh))) & ((X0 @ a) = (X0 @ aa)) & (((X0 @ b) != (X0 @ cc)) | ((X0 @ a) != (X0 @ aa)) | ((X0 @ d) != (X0 @ ee)) | ((X0 @ hh) != (X0 @ h))) & (((X0 @ hh) != (X0 @ h)) | ((X0 @ e) != (X0 @ ee)) | ((X0 @ c) != (X0 @ dd)) | ((X0 @ a) != (X0 @ bb))) & (((X0 @ d) = (X0 @ ee)) | ((X0 @ bb) != (X0 @ c)) | ((X0 @ c) != (X0 @ cc)) | ((X0 @ b) != (X0 @ bb)) | ((X0 @ e) = (X0 @ hh))) & ((X0 @ dd) = (X0 @ d)) & ((X0 @ c) = (X0 @ cc))) => (((sK0 @ hh) = (sK0 @ h)) & (((sK0 @ a) != (sK0 @ aa)) | ((sK0 @ dd) = (sK0 @ c)) | ((sK0 @ e) != (sK0 @ hh)) | ((sK0 @ bb) != (sK0 @ b))) & (((sK0 @ a) != (sK0 @ aa)) | ((sK0 @ dd) != (sK0 @ d)) | ((sK0 @ e) = (sK0 @ hh)) | ((sK0 @ cc) = (sK0 @ b))) & ((sK0 @ bb) = (sK0 @ b)) & ((sK0 @ e) = (sK0 @ ee)) & (((sK0 @ bb) = (sK0 @ a)) | ((sK0 @ c) != (sK0 @ cc)) | ((sK0 @ d) != (sK0 @ cc)) | ((sK0 @ dd) != (sK0 @ d)) | ((sK0 @ e) != (sK0 @ hh))) & ((sK0 @ a) = (sK0 @ aa)) & (((sK0 @ cc) != (sK0 @ b)) | ((sK0 @ a) != (sK0 @ aa)) | ((sK0 @ d) != (sK0 @ ee)) | ((sK0 @ hh) != (sK0 @ h))) & (((sK0 @ hh) != (sK0 @ h)) | ((sK0 @ e) != (sK0 @ ee)) | ((sK0 @ dd) != (sK0 @ c)) | ((sK0 @ bb) != (sK0 @ a))) & (((sK0 @ d) = (sK0 @ ee)) | ((sK0 @ bb) != (sK0 @ c)) | ((sK0 @ c) != (sK0 @ cc)) | ((sK0 @ bb) != (sK0 @ b)) | ((sK0 @ e) = (sK0 @ hh))) & ((sK0 @ dd) = (sK0 @ d)) & ((sK0 @ c) = (sK0 @ cc)))),
% 1.74/1.41 introduced(definition,[],[choice_axiom])).
% 1.74/1.41 thf(f5,plain,(
% 1.74/1.41 ? [X0 : $i > $i > $o] : (((X0 @ hh) = (X0 @ h)) & (((X0 @ a) != (X0 @ aa)) | ((X0 @ c) = (X0 @ dd)) | ((X0 @ e) != (X0 @ hh)) | ((X0 @ b) != (X0 @ bb))) & (((X0 @ a) != (X0 @ aa)) | ((X0 @ dd) != (X0 @ d)) | ((X0 @ e) = (X0 @ hh)) | ((X0 @ b) = (X0 @ cc))) & ((X0 @ b) = (X0 @ bb)) & ((X0 @ e) = (X0 @ ee)) & (((X0 @ a) = (X0 @ bb)) | ((X0 @ c) != (X0 @ cc)) | ((X0 @ cc) != (X0 @ d)) | ((X0 @ dd) != (X0 @ d)) | ((X0 @ e) != (X0 @ hh))) & ((X0 @ a) = (X0 @ aa)) & (((X0 @ b) != (X0 @ cc)) | ((X0 @ a) != (X0 @ aa)) | ((X0 @ d) != (X0 @ ee)) | ((X0 @ hh) != (X0 @ h))) & (((X0 @ hh) != (X0 @ h)) | ((X0 @ e) != (X0 @ ee)) | ((X0 @ c) != (X0 @ dd)) | ((X0 @ a) != (X0 @ bb))) & (((X0 @ d) = (X0 @ ee)) | ((X0 @ bb) != (X0 @ c)) | ((X0 @ c) != (X0 @ cc)) | ((X0 @ b) != (X0 @ bb)) | ((X0 @ e) = (X0 @ hh))) & ((X0 @ dd) = (X0 @ d)) & ((X0 @ c) = (X0 @ cc)))),
% 1.74/1.41 inference(flattening,[status(thm)],[f4])).
% 1.74/1.41 thf(f4,plain,(
% 1.74/1.41 ? [X0 : $i > $i > $o] : ((((X0 @ dd) = (X0 @ d)) & ((X0 @ c) = (X0 @ cc)) & ((X0 @ e) = (X0 @ ee)) & ((X0 @ b) = (X0 @ bb)) & ((X0 @ hh) = (X0 @ h)) & ((X0 @ a) = (X0 @ aa))) & ((((X0 @ d) = (X0 @ ee)) | (((X0 @ e) = (X0 @ hh)) | ((X0 @ c) != (X0 @ cc)) | ((X0 @ b) != (X0 @ bb)) | ((X0 @ bb) != (X0 @ c)))) & (((X0 @ e) = (X0 @ hh)) | (((X0 @ dd) != (X0 @ d)) | ((X0 @ a) != (X0 @ aa)) | ((X0 @ b) = (X0 @ cc)))) & (((X0 @ d) != (X0 @ ee)) | (((X0 @ b) != (X0 @ cc)) | ((X0 @ hh) != (X0 @ h)) | ((X0 @ a) != (X0 @ aa)))) & (((X0 @ e) != (X0 @ hh)) | (((X0 @ a) = (X0 @ bb)) | ((X0 @ c) != (X0 @ cc)) | ((X0 @ cc) != (X0 @ d)) | ((X0 @ dd) != (X0 @ d)))) & (((X0 @ a) != (X0 @ bb)) | (((X0 @ e) != (X0 @ ee)) | ((X0 @ c) != (X0 @ dd)) | ((X0 @ hh) != (X0 @ h)))) & (((X0 @ c) = (X0 @ dd)) | (((X0 @ e) != (X0 @ hh)) | ((X0 @ b) != (X0 @ bb)) | ((X0 @ a) != (X0 @ aa))))))),
% 1.74/1.41 inference(ennf_transformation,[status(thm)],[f2])).
% 1.74/1.41 thf(f2,negated_conjecture,(
% 1.74/1.41 ~! [X0 : $i > $i > $o] : ((((((X0 @ e) != (X0 @ hh)) & ((X0 @ c) = (X0 @ cc)) & ((X0 @ b) = (X0 @ bb)) & ((X0 @ bb) = (X0 @ c))) => ((X0 @ d) = (X0 @ ee))) & ((((X0 @ dd) = (X0 @ d)) & ((X0 @ a) = (X0 @ aa)) & ((X0 @ b) != (X0 @ cc))) => ((X0 @ e) = (X0 @ hh))) & ((((X0 @ b) = (X0 @ cc)) & ((X0 @ hh) = (X0 @ h)) & ((X0 @ a) = (X0 @ aa))) => ((X0 @ d) != (X0 @ ee))) & ((((X0 @ a) != (X0 @ bb)) & ((X0 @ c) = (X0 @ cc)) & ((X0 @ cc) = (X0 @ d)) & ((X0 @ dd) = (X0 @ d))) => ((X0 @ e) != (X0 @ hh))) & ((((X0 @ e) = (X0 @ ee)) & ((X0 @ c) = (X0 @ dd)) & ((X0 @ hh) = (X0 @ h))) => ((X0 @ a) != (X0 @ bb))) & ((((X0 @ e) = (X0 @ hh)) & ((X0 @ b) = (X0 @ bb)) & ((X0 @ a) = (X0 @ aa))) => ((X0 @ c) = (X0 @ dd)))) => (((X0 @ dd) != (X0 @ d)) | ((X0 @ c) != (X0 @ cc)) | ((X0 @ e) != (X0 @ ee)) | ((X0 @ b) != (X0 @ bb)) | ((X0 @ hh) != (X0 @ h)) | ((X0 @ a) != (X0 @ aa))))),
% 1.74/1.41 inference(negated_conjecture,[status(cth)],[f1])).
% 1.74/1.41 thf(f1,conjecture,(
% 1.74/1.41 ! [X0 : $i > $i > $o] : ((((((X0 @ e) != (X0 @ hh)) & ((X0 @ c) = (X0 @ cc)) & ((X0 @ b) = (X0 @ bb)) & ((X0 @ bb) = (X0 @ c))) => ((X0 @ d) = (X0 @ ee))) & ((((X0 @ dd) = (X0 @ d)) & ((X0 @ a) = (X0 @ aa)) & ((X0 @ b) != (X0 @ cc))) => ((X0 @ e) = (X0 @ hh))) & ((((X0 @ b) = (X0 @ cc)) & ((X0 @ hh) = (X0 @ h)) & ((X0 @ a) = (X0 @ aa))) => ((X0 @ d) != (X0 @ ee))) & ((((X0 @ a) != (X0 @ bb)) & ((X0 @ c) = (X0 @ cc)) & ((X0 @ cc) = (X0 @ d)) & ((X0 @ dd) = (X0 @ d))) => ((X0 @ e) != (X0 @ hh))) & ((((X0 @ e) = (X0 @ ee)) & ((X0 @ c) = (X0 @ dd)) & ((X0 @ hh) = (X0 @ h))) => ((X0 @ a) != (X0 @ bb))) & ((((X0 @ e) = (X0 @ hh)) & ((X0 @ b) = (X0 @ bb)) & ((X0 @ a) = (X0 @ aa))) => ((X0 @ c) = (X0 @ dd)))) => (((X0 @ dd) != (X0 @ d)) | ((X0 @ c) != (X0 @ cc)) | ((X0 @ e) != (X0 @ ee)) | ((X0 @ b) != (X0 @ bb)) | ((X0 @ hh) != (X0 @ h)) | ((X0 @ a) != (X0 @ aa))))),
% 1.74/1.41 file('/export/starexec/sandbox2/tmp/tmp.a2jkK2Jrhg/DTF2THF_26635.p',cSIXFRIENDS_AGAIN)).
% 1.74/1.41 thf(f83,plain,(
% 1.74/1.41 ~spl1_1 | spl1_4 | ~spl1_6),
% 1.74/1.41 inference(avatar_contradiction_clause,[status(thm)],[f82])).
% 1.74/1.41 thf(f82,plain,(
% 1.74/1.41 $false | (~spl1_1 | spl1_4 | ~spl1_6)),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f81,f36])).
% 1.74/1.41 thf(f36,plain,(
% 1.74/1.41 ((sK0 @ d) != (sK0 @ cc)) | spl1_4),
% 1.74/1.41 inference(avatar_component_clause,[status(thm)],[f34])).
% 1.74/1.41 thf(f34,definition,(
% 1.74/1.41 spl1_4 <=> ((sK0 @ d) = (sK0 @ cc))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_4])],[avatar_definition])).
% 1.74/1.41 thf(f81,plain,(
% 1.74/1.41 ((sK0 @ d) = (sK0 @ cc)) | (~spl1_1 | ~spl1_6)),
% 1.74/1.41 inference(forward_demodulation,[status(thm)],[f45,f23])).
% 1.74/1.41 thf(f23,plain,(
% 1.74/1.41 ((sK0 @ dd) = (sK0 @ d)) | ~spl1_1),
% 1.74/1.41 inference(avatar_component_clause,[status(thm)],[f22])).
% 1.74/1.41 thf(f22,definition,(
% 1.74/1.41 spl1_1 <=> ((sK0 @ dd) = (sK0 @ d))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition])).
% 1.74/1.41 thf(f45,plain,(
% 1.74/1.41 ((sK0 @ dd) = (sK0 @ cc)) | ~spl1_6),
% 1.74/1.41 inference(avatar_component_clause,[status(thm)],[f44])).
% 1.74/1.41 thf(f44,definition,(
% 1.74/1.41 spl1_6 <=> ((sK0 @ dd) = (sK0 @ cc))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_6])],[avatar_definition])).
% 1.74/1.41 thf(f79,plain,(
% 1.74/1.41 ~spl1_1 | spl1_3 | spl1_10),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f74,f76,f30,f22])).
% 1.74/1.41 thf(f30,definition,(
% 1.74/1.41 spl1_3 <=> ((sK0 @ e) = (sK0 @ hh))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_3])],[avatar_definition])).
% 1.74/1.41 thf(f74,plain,(
% 1.74/1.41 ((sK0 @ dd) != (sK0 @ d)) | ((sK0 @ cc) = (sK0 @ b)) | ((sK0 @ e) = (sK0 @ hh))),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f17,f13])).
% 1.74/1.41 thf(f13,plain,(
% 1.74/1.41 ((sK0 @ a) = (sK0 @ aa))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f17,plain,(
% 1.74/1.41 ((sK0 @ a) != (sK0 @ aa)) | ((sK0 @ dd) != (sK0 @ d)) | ((sK0 @ e) = (sK0 @ hh)) | ((sK0 @ cc) = (sK0 @ b))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f73,plain,(
% 1.74/1.41 spl1_7),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f19,f48])).
% 1.74/1.41 thf(f48,definition,(
% 1.74/1.41 spl1_7 <=> ((sK0 @ hh) = (sK0 @ h))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_7])],[avatar_definition])).
% 1.74/1.41 thf(f19,plain,(
% 1.74/1.41 ((sK0 @ hh) = (sK0 @ h))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f72,plain,(
% 1.74/1.41 spl1_5),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f15,f40])).
% 1.74/1.41 thf(f40,definition,(
% 1.74/1.41 spl1_5 <=> ((sK0 @ e) = (sK0 @ ee))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_5])],[avatar_definition])).
% 1.74/1.41 thf(f15,plain,(
% 1.74/1.41 ((sK0 @ e) = (sK0 @ ee))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f71,plain,(
% 1.74/1.41 spl1_1),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f9,f22])).
% 1.74/1.41 thf(f9,plain,(
% 1.74/1.41 ((sK0 @ dd) = (sK0 @ d))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f70,plain,(
% 1.74/1.41 ~spl1_8 | spl1_3 | spl1_9),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f69,f59,f30,f55])).
% 1.74/1.41 thf(f59,definition,(
% 1.74/1.41 spl1_9 <=> ((sK0 @ d) = (sK0 @ ee))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_9])],[avatar_definition])).
% 1.74/1.41 thf(f69,plain,(
% 1.74/1.41 ((sK0 @ bb) != (sK0 @ cc)) | ((sK0 @ e) = (sK0 @ hh)) | ((sK0 @ d) = (sK0 @ ee))),
% 1.74/1.41 inference(forward_demodulation,[status(thm)],[f68,f8])).
% 1.74/1.41 thf(f8,plain,(
% 1.74/1.41 ((sK0 @ c) = (sK0 @ cc))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f68,plain,(
% 1.74/1.41 ((sK0 @ e) = (sK0 @ hh)) | ((sK0 @ bb) != (sK0 @ c)) | ((sK0 @ d) = (sK0 @ ee))),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f67,f16])).
% 1.74/1.41 thf(f67,plain,(
% 1.74/1.41 ((sK0 @ bb) != (sK0 @ c)) | ((sK0 @ d) = (sK0 @ ee)) | ((sK0 @ bb) != (sK0 @ b)) | ((sK0 @ e) = (sK0 @ hh))),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f10,f8])).
% 1.74/1.41 thf(f10,plain,(
% 1.74/1.41 ((sK0 @ bb) != (sK0 @ c)) | ((sK0 @ c) != (sK0 @ cc)) | ((sK0 @ d) = (sK0 @ ee)) | ((sK0 @ e) = (sK0 @ hh)) | ((sK0 @ bb) != (sK0 @ b))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f66,plain,(
% 1.74/1.41 spl1_6 | ~spl1_3),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f65,f30,f44])).
% 1.74/1.41 thf(f65,plain,(
% 1.74/1.41 ((sK0 @ e) != (sK0 @ hh)) | ((sK0 @ dd) = (sK0 @ cc))),
% 1.74/1.41 inference(forward_demodulation,[status(thm)],[f64,f8])).
% 1.74/1.41 thf(f64,plain,(
% 1.74/1.41 ((sK0 @ e) != (sK0 @ hh)) | ((sK0 @ dd) = (sK0 @ c))),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f63,f16])).
% 1.74/1.41 thf(f63,plain,(
% 1.74/1.41 ((sK0 @ bb) != (sK0 @ b)) | ((sK0 @ dd) = (sK0 @ c)) | ((sK0 @ e) != (sK0 @ hh))),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f18,f13])).
% 1.74/1.41 thf(f18,plain,(
% 1.74/1.41 ((sK0 @ dd) = (sK0 @ c)) | ((sK0 @ e) != (sK0 @ hh)) | ((sK0 @ a) != (sK0 @ aa)) | ((sK0 @ bb) != (sK0 @ b))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f62,plain,(
% 1.74/1.41 ~spl1_8 | ~spl1_9 | ~spl1_7),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f53,f48,f59,f55])).
% 1.74/1.41 thf(f53,plain,(
% 1.74/1.41 ((sK0 @ bb) != (sK0 @ cc)) | ((sK0 @ hh) != (sK0 @ h)) | ((sK0 @ d) != (sK0 @ ee))),
% 1.74/1.41 inference(forward_demodulation,[status(thm)],[f52,f16])).
% 1.74/1.41 thf(f52,plain,(
% 1.74/1.41 ((sK0 @ d) != (sK0 @ ee)) | ((sK0 @ cc) != (sK0 @ b)) | ((sK0 @ hh) != (sK0 @ h))),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f12,f13])).
% 1.74/1.41 thf(f12,plain,(
% 1.74/1.41 ((sK0 @ cc) != (sK0 @ b)) | ((sK0 @ d) != (sK0 @ ee)) | ((sK0 @ hh) != (sK0 @ h)) | ((sK0 @ a) != (sK0 @ aa))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f51,plain,(
% 1.74/1.41 ~spl1_2 | ~spl1_5 | ~spl1_6 | ~spl1_7),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f38,f48,f44,f40,f26])).
% 1.74/1.41 thf(f26,definition,(
% 1.74/1.41 spl1_2 <=> ((sK0 @ bb) = (sK0 @ a))),
% 1.74/1.41 introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition])).
% 1.74/1.41 thf(f38,plain,(
% 1.74/1.41 ((sK0 @ bb) != (sK0 @ a)) | ((sK0 @ dd) != (sK0 @ cc)) | ((sK0 @ hh) != (sK0 @ h)) | ((sK0 @ e) != (sK0 @ ee))),
% 1.74/1.41 inference(forward_demodulation,[status(thm)],[f11,f8])).
% 1.74/1.41 thf(f11,plain,(
% 1.74/1.41 ((sK0 @ e) != (sK0 @ ee)) | ((sK0 @ bb) != (sK0 @ a)) | ((sK0 @ dd) != (sK0 @ c)) | ((sK0 @ hh) != (sK0 @ h))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 thf(f37,plain,(
% 1.74/1.41 ~spl1_1 | spl1_2 | ~spl1_3 | ~spl1_4),
% 1.74/1.41 inference(avatar_split_clause,[status(thm)],[f20,f34,f30,f26,f22])).
% 1.74/1.41 thf(f20,plain,(
% 1.74/1.41 ((sK0 @ e) != (sK0 @ hh)) | ((sK0 @ bb) = (sK0 @ a)) | ((sK0 @ dd) != (sK0 @ d)) | ((sK0 @ d) != (sK0 @ cc))),
% 1.74/1.41 inference(subsumption_resolution,[status(thm)],[f14,f8])).
% 1.74/1.41 thf(f14,plain,(
% 1.74/1.41 ((sK0 @ e) != (sK0 @ hh)) | ((sK0 @ c) != (sK0 @ cc)) | ((sK0 @ bb) = (sK0 @ a)) | ((sK0 @ dd) != (sK0 @ d)) | ((sK0 @ d) != (sK0 @ cc))),
% 1.74/1.41 inference(cnf_transformation,[status(thm)],[f7])).
% 1.74/1.41 % SZS output end Proof for DTF2THF_26635
% 1.74/1.41 % (26738)------------------------------
% 1.74/1.41 % (26738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.41 % (26738)Termination reason: Refutation
% 1.74/1.41
% 1.74/1.41 % (26738)Memory used [KB]: 5500
% 1.74/1.41 % (26738)Time elapsed: 0.008 s
% 1.74/1.41 % (26738)Instructions burned: 7 (million)
% 1.74/1.41 % (26738)------------------------------
% 1.74/1.41 % (26738)------------------------------
% 1.74/1.41 % (26731)Success in time 0.023 s
%------------------------------------------------------------------------------