%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX040+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:45:44 PM UTC 2026
% Result : Theorem 9.42s 1.80s
% Output : Refutation 10.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 181 ( 20 unt; 14 def)
% Number of atoms : 651 ( 141 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 789 ( 319 ~; 382 |; 57 &)
% ( 15 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 15 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn 136 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : '0' != s(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id1) ).
fof(f2,axiom,
! [X0,X1] :
( s(X0) = s(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id2) ).
fof(f24,axiom,
! [X0,X1] :
( '@<_succeeds'(X0,X1)
<=> ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3) )
| ? [X4] :
( X0 = '0'
& X1 = s(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id24) ).
fof(f74,axiom,
! [X0,X1] :
( '@<_succeeds'(X0,X1)
=> ? [X2] : X1 = s(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(less:successor)') ).
fof(f75,axiom,
( ! [X0,X1] :
( ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3)
& ! [X4] :
( '@<_succeeds'(X3,s(X4))
=> '@<_succeeds'(X2,X4) ) )
| ? [X5] :
( X0 = '0'
& X1 = s(X5) ) )
=> ! [X4] :
( '@<_succeeds'(X1,s(X4))
=> '@<_succeeds'(X0,X4) ) )
=> ! [X0,X1] :
( '@<_succeeds'(X0,X1)
=> ! [X4] :
( '@<_succeeds'(X1,s(X4))
=> '@<_succeeds'(X0,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f76,conjecture,
! [X0,X1,X2] :
( ( '@<_succeeds'(X0,X1)
& '@<_succeeds'(X1,s(X2)) )
=> '@<_succeeds'(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(less:transitive:successor)') ).
fof(f77,negated_conjecture,
~ ! [X0,X1,X2] :
( ( '@<_succeeds'(X0,X1)
& '@<_succeeds'(X1,s(X2)) )
=> '@<_succeeds'(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f76]) ).
fof(f87,plain,
( ! [X0,X1] :
( ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3)
& ! [X4] :
( '@<_succeeds'(X3,s(X4))
=> '@<_succeeds'(X2,X4) ) )
| ? [X5] :
( X0 = '0'
& X1 = s(X5) ) )
=> ! [X6] :
( '@<_succeeds'(X1,s(X6))
=> '@<_succeeds'(X0,X6) ) )
=> ! [X7,X8] :
( '@<_succeeds'(X7,X8)
=> ! [X9] :
( '@<_succeeds'(X8,s(X9))
=> '@<_succeeds'(X7,X9) ) ) ),
inference(rectify,[],[f75]) ).
fof(f88,plain,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2] : X1 = s(X2)
| ~ '@<_succeeds'(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f171,plain,
( ! [X7,X8] :
( ! [X9] :
( '@<_succeeds'(X7,X9)
| ~ '@<_succeeds'(X8,s(X9)) )
| ~ '@<_succeeds'(X7,X8) )
| ? [X0,X1] :
( ? [X6] :
( ~ '@<_succeeds'(X0,X6)
& '@<_succeeds'(X1,s(X6)) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3)
& ! [X4] :
( '@<_succeeds'(X2,X4)
| ~ '@<_succeeds'(X3,s(X4)) ) )
| ? [X5] :
( X0 = '0'
& X1 = s(X5) ) ) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f172,plain,
? [X0,X1,X2] :
( ~ '@<_succeeds'(X0,X2)
& '@<_succeeds'(X0,X1)
& '@<_succeeds'(X1,s(X2)) ),
inference(ennf_transformation,[],[f77]) ).
fof(f173,plain,
? [X0,X1,X2] :
( ~ '@<_succeeds'(X0,X2)
& '@<_succeeds'(X0,X1)
& '@<_succeeds'(X1,s(X2)) ),
inference(flattening,[],[f172]) ).
fof(f208,plain,
! [X0,X1] :
( ( '@<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) )
& ! [X4] :
( '0' != X0
| s(X4) != X1 ) ) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3) )
| ? [X4] :
( X0 = '0'
& X1 = s(X4) )
| ~ '@<_succeeds'(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f209,plain,
! [X0,X1] :
( ( '@<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) )
& ! [X4] :
( '0' != X0
| s(X4) != X1 ) ) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3) )
| ? [X4] :
( X0 = '0'
& X1 = s(X4) )
| ~ '@<_succeeds'(X0,X1) ) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1] :
( ( '@<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) )
& ! [X4] :
( '0' != X0
| s(X4) != X1 ) ) )
& ( ? [X5,X6] :
( s(X5) = X0
& s(X6) = X1
& '@<_succeeds'(X5,X6) )
| ? [X7] :
( X0 = '0'
& s(X7) = X1 )
| ~ '@<_succeeds'(X0,X1) ) ),
inference(rectify,[],[f209]) ).
fof(f211,plain,
! [X0,X1] :
( ( '@<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) )
& ! [X4] :
( '0' != X0
| s(X4) != X1 ) ) )
& ( ( s(sK18(X0,X1)) = X0
& s(sK19(X0,X1)) = X1
& '@<_succeeds'(sK18(X0,X1),sK19(X0,X1)) )
| ( X0 = '0'
& s(sK20(X0,X1)) = X1 )
| ~ '@<_succeeds'(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X5,sK18(X0,X1)),skolemize(X6,sK19(X0,X1)),skolemize(X7,sK20(X0,X1))],[f210]) ).
fof(f234,plain,
! [X0,X1] :
( s(sK31(X1)) = X1
| ~ '@<_succeeds'(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X2,sK31(X1))],[f170]) ).
fof(f235,plain,
( ! [X0,X1] :
( ! [X2] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2)) )
| ~ '@<_succeeds'(X0,X1) )
| ? [X3,X4] :
( ? [X5] :
( ~ '@<_succeeds'(X3,X5)
& '@<_succeeds'(X4,s(X5)) )
& ( ? [X6,X7] :
( s(X6) = X3
& s(X7) = X4
& '@<_succeeds'(X6,X7)
& ! [X8] :
( '@<_succeeds'(X6,X8)
| ~ '@<_succeeds'(X7,s(X8)) ) )
| ? [X9] :
( '0' = X3
& s(X9) = X4 ) ) ) ),
inference(rectify,[],[f171]) ).
fof(f236,plain,
( ! [X0,X1] :
( ! [X2] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2)) )
| ~ '@<_succeeds'(X0,X1) )
| ( ~ '@<_succeeds'(sK32,sK34)
& '@<_succeeds'(sK33,s(sK34))
& ( ( sK32 = s(sK35)
& sK33 = s(sK36)
& '@<_succeeds'(sK35,sK36)
& ! [X8] :
( '@<_succeeds'(sK35,X8)
| ~ '@<_succeeds'(sK36,s(X8)) ) )
| ( '0' = sK32
& sK33 = s(sK37) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36,sK37]),skolemize(X3,sK32),skolemize(X4,sK33),skolemize(X5,sK34),skolemize(X6,sK35),skolemize(X7,sK36),skolemize(X9,sK37)],[f235]) ).
fof(f237,plain,
( ~ '@<_succeeds'(sK38,sK40)
& '@<_succeeds'(sK38,sK39)
& '@<_succeeds'(sK39,s(sK40)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39,sK40]),skolemize(X0,sK38),skolemize(X1,sK39),skolemize(X2,sK40)],[f173]) ).
fof(f238,plain,
! [X0] : '0' != s(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f239,plain,
! [X0,X1] :
( s(X0) != s(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f309,plain,
! [X0,X1] :
( '@<_succeeds'(sK18(X0,X1),sK19(X0,X1))
| '0' = X0
| ~ '@<_succeeds'(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f311,plain,
! [X0,X1] :
( ~ '@<_succeeds'(X0,X1)
| '0' = X0
| s(sK19(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f211]) ).
fof(f313,plain,
! [X0,X1] :
( ~ '@<_succeeds'(X0,X1)
| '0' = X0
| s(sK18(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f211]) ).
fof(f314,plain,
! [X0,X1,X4] :
( '@<_succeeds'(X0,X1)
| '0' != X0
| s(X4) != X1 ),
inference(cnf_transformation,[],[f211]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( '@<_succeeds'(X0,X1)
| s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f385,plain,
! [X0,X1] :
( ~ '@<_succeeds'(X0,X1)
| s(sK31(X1)) = X1 ),
inference(cnf_transformation,[],[f234]) ).
fof(f386,plain,
! [X2,X0,X1,X8] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(sK35,X8)
| ~ '@<_succeeds'(sK36,s(X8))
| sK33 = s(sK37) ),
inference(cnf_transformation,[],[f236]) ).
fof(f387,plain,
! [X2,X0,X1,X8] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(sK35,X8)
| ~ '@<_succeeds'(sK36,s(X8))
| '0' = sK32 ),
inference(cnf_transformation,[],[f236]) ).
fof(f388,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(sK35,sK36)
| sK33 = s(sK37) ),
inference(cnf_transformation,[],[f236]) ).
fof(f389,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(sK35,sK36)
| '0' = sK32 ),
inference(cnf_transformation,[],[f236]) ).
fof(f390,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| sK33 = s(sK36)
| sK33 = s(sK37) ),
inference(cnf_transformation,[],[f236]) ).
fof(f391,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| sK33 = s(sK36)
| '0' = sK32 ),
inference(cnf_transformation,[],[f236]) ).
fof(f392,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| sK32 = s(sK35)
| sK33 = s(sK37) ),
inference(cnf_transformation,[],[f236]) ).
fof(f393,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| sK32 = s(sK35)
| '0' = sK32 ),
inference(cnf_transformation,[],[f236]) ).
fof(f394,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(sK33,s(sK34)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f395,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| ~ '@<_succeeds'(sK32,sK34) ),
inference(cnf_transformation,[],[f236]) ).
fof(f396,plain,
'@<_succeeds'(sK39,s(sK40)),
inference(cnf_transformation,[],[f237]) ).
fof(f397,plain,
'@<_succeeds'(sK38,sK39),
inference(cnf_transformation,[],[f237]) ).
fof(f398,plain,
~ '@<_succeeds'(sK38,sK40),
inference(cnf_transformation,[],[f237]) ).
fof(f425,plain,
! [X2,X3,X1] :
( '@<_succeeds'(s(X2),X1)
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) ),
inference(equality_resolution,[],[f315]) ).
fof(f426,plain,
! [X2,X3] :
( '@<_succeeds'(s(X2),s(X3))
| ~ '@<_succeeds'(X2,X3) ),
inference(equality_resolution,[],[f425]) ).
fof(f427,plain,
! [X1,X4] :
( '@<_succeeds'('0',X1)
| s(X4) != X1 ),
inference(equality_resolution,[],[f314]) ).
fof(f428,plain,
! [X4] : '@<_succeeds'('0',s(X4)),
inference(equality_resolution,[],[f427]) ).
fof(f443,definition,
( spl41_1
<=> sK33 = s(sK37) ),
introduced(definition,[new_symbols(definition,[spl41_1])],[avatar_definition]) ).
fof(f444,plain,
( sK33 = s(sK37)
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f446,definition,
( spl41_2
<=> ! [X8] :
( '@<_succeeds'(sK35,X8)
| ~ '@<_succeeds'(sK36,s(X8)) ) ),
introduced(definition,[new_symbols(definition,[spl41_2])],[avatar_definition]) ).
fof(f447,plain,
( ! [X8] :
( ~ '@<_succeeds'(sK36,s(X8))
| '@<_succeeds'(sK35,X8) )
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,definition,
( spl41_3
<=> ! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X0,X1)
| ~ '@<_succeeds'(X1,s(X2)) ) ),
introduced(definition,[new_symbols(definition,[spl41_3])],[avatar_definition]) ).
fof(f450,plain,
( ! [X2,X0,X1] :
( ~ '@<_succeeds'(X1,s(X2))
| ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(X0,X2) )
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
( spl41_1
| spl41_2
| spl41_3 ),
inference(avatar_split_clause,[],[f386,f449,f446,f443]) ).
fof(f453,definition,
( spl41_4
<=> '0' = sK32 ),
introduced(definition,[new_symbols(definition,[spl41_4])],[avatar_definition]) ).
fof(f454,plain,
( '0' = sK32
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( spl41_4
| spl41_2
| spl41_3 ),
inference(avatar_split_clause,[],[f387,f449,f446,f453]) ).
fof(f457,definition,
( spl41_5
<=> '@<_succeeds'(sK35,sK36) ),
introduced(definition,[new_symbols(definition,[spl41_5])],[avatar_definition]) ).
fof(f458,plain,
( '@<_succeeds'(sK35,sK36)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( spl41_1
| spl41_5
| spl41_3 ),
inference(avatar_split_clause,[],[f388,f449,f457,f443]) ).
fof(f460,plain,
( spl41_4
| spl41_5
| spl41_3 ),
inference(avatar_split_clause,[],[f389,f449,f457,f453]) ).
fof(f462,definition,
( spl41_6
<=> sK33 = s(sK36) ),
introduced(definition,[new_symbols(definition,[spl41_6])],[avatar_definition]) ).
fof(f463,plain,
( sK33 = s(sK36)
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f464,plain,
( spl41_1
| spl41_6
| spl41_3 ),
inference(avatar_split_clause,[],[f390,f449,f462,f443]) ).
fof(f465,plain,
( spl41_4
| spl41_6
| spl41_3 ),
inference(avatar_split_clause,[],[f391,f449,f462,f453]) ).
fof(f467,definition,
( spl41_7
<=> sK32 = s(sK35) ),
introduced(definition,[new_symbols(definition,[spl41_7])],[avatar_definition]) ).
fof(f468,plain,
( sK32 = s(sK35)
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( spl41_1
| spl41_7
| spl41_3 ),
inference(avatar_split_clause,[],[f392,f449,f467,f443]) ).
fof(f470,plain,
( spl41_4
| spl41_7
| spl41_3 ),
inference(avatar_split_clause,[],[f393,f449,f467,f453]) ).
fof(f472,definition,
( spl41_8
<=> '@<_succeeds'(sK33,s(sK34)) ),
introduced(definition,[new_symbols(definition,[spl41_8])],[avatar_definition]) ).
fof(f473,plain,
( '@<_succeeds'(sK33,s(sK34))
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( spl41_8
| spl41_3 ),
inference(avatar_split_clause,[],[f394,f449,f472]) ).
fof(f476,definition,
( spl41_9
<=> '@<_succeeds'(sK32,sK34) ),
introduced(definition,[new_symbols(definition,[spl41_9])],[avatar_definition]) ).
fof(f477,plain,
( ~ '@<_succeeds'(sK32,sK34)
| spl41_9 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f478,plain,
( ~ spl41_9
| spl41_3 ),
inference(avatar_split_clause,[],[f395,f449,f476]) ).
fof(f481,plain,
( ! [X0] :
( '@<_succeeds'(X0,sK40)
| ~ '@<_succeeds'(X0,sK39) )
| ~ spl41_3 ),
inference(resolution,[],[f450,f396]) ).
fof(f485,plain,
( ~ '@<_succeeds'(sK38,sK39)
| ~ spl41_3 ),
inference(resolution,[],[f398,f481]) ).
fof(f488,plain,
( $false
| ~ spl41_3 ),
inference(forward_subsumption_resolution,[],[f485,f397]) ).
fof(f489,plain,
~ spl41_3,
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f497,plain,
( '0' = sK33
| sK33 = s(sK18(sK33,s(sK34)))
| ~ spl41_8 ),
inference(resolution,[],[f313,f473]) ).
fof(f502,plain,
( sK32 = sK33
| sK33 = s(sK18(sK33,s(sK34)))
| ~ spl41_4
| ~ spl41_8 ),
inference(forward_demodulation,[],[f497,f454]) ).
fof(f519,definition,
( spl41_14
<=> sK33 = s(sK18(sK33,s(sK34))) ),
introduced(definition,[new_symbols(definition,[spl41_14])],[avatar_definition]) ).
fof(f520,plain,
( sK33 = s(sK18(sK33,s(sK34)))
| ~ spl41_14 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,definition,
( spl41_15
<=> sK32 = sK33 ),
introduced(definition,[new_symbols(definition,[spl41_15])],[avatar_definition]) ).
fof(f523,plain,
( sK32 = sK33
| ~ spl41_15 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( spl41_14
| spl41_15
| ~ spl41_4
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f502,f472,f453,f522,f519]) ).
fof(f538,plain,
( '0' != sK33
| ~ spl41_1 ),
inference(superposition,[],[f238,f444]) ).
fof(f539,plain,
( '0' != sK33
| ~ spl41_14 ),
inference(superposition,[],[f238,f520]) ).
fof(f546,plain,
( '0' = sK33
| s(sK34) = s(sK19(sK33,s(sK34)))
| ~ spl41_8 ),
inference(resolution,[],[f311,f473]) ).
fof(f567,plain,
( ! [X0] :
( ~ '@<_succeeds'(sK35,X0)
| '@<_succeeds'(sK32,s(X0)) )
| ~ spl41_7 ),
inference(superposition,[],[f426,f468]) ).
fof(f643,plain,
( ! [X0] :
( s(X0) != sK33
| sK18(sK33,s(sK34)) = X0 )
| ~ spl41_14 ),
inference(superposition,[],[f239,f520]) ).
fof(f686,plain,
( sK33 != sK33
| sK36 = sK18(sK33,s(sK34))
| ~ spl41_6
| ~ spl41_14 ),
inference(superposition,[],[f643,f463]) ).
fof(f687,plain,
( sK33 != sK33
| sK37 = sK18(sK33,s(sK34))
| ~ spl41_1
| ~ spl41_14 ),
inference(superposition,[],[f643,f444]) ).
fof(f688,plain,
( sK37 = sK18(sK33,s(sK34))
| ~ spl41_1
| ~ spl41_14 ),
inference(trivial_inequality_removal,[],[f687]) ).
fof(f689,plain,
( sK36 = sK18(sK33,s(sK34))
| ~ spl41_6
| ~ spl41_14 ),
inference(trivial_inequality_removal,[],[f686]) ).
fof(f721,plain,
( '@<_succeeds'(sK37,sK19(sK33,s(sK34)))
| '0' = sK33
| ~ '@<_succeeds'(sK33,s(sK34))
| ~ spl41_1
| ~ spl41_14 ),
inference(superposition,[],[f309,f688]) ).
fof(f722,plain,
( '@<_succeeds'(sK37,sK19(sK33,s(sK34)))
| ~ '@<_succeeds'(sK33,s(sK34))
| ~ spl41_1
| ~ spl41_14 ),
inference(forward_subsumption_resolution,[],[f721,f539]) ).
fof(f723,plain,
( '@<_succeeds'(sK37,sK19(sK33,s(sK34)))
| ~ spl41_1
| ~ spl41_8
| ~ spl41_14 ),
inference(forward_subsumption_resolution,[],[f722,f473]) ).
fof(f727,plain,
( '@<_succeeds'(sK36,sK19(sK33,s(sK34)))
| '0' = sK33
| ~ '@<_succeeds'(sK33,s(sK34))
| ~ spl41_6
| ~ spl41_14 ),
inference(superposition,[],[f309,f689]) ).
fof(f728,plain,
( '@<_succeeds'(sK36,sK19(sK33,s(sK34)))
| ~ '@<_succeeds'(sK33,s(sK34))
| ~ spl41_6
| ~ spl41_14 ),
inference(forward_subsumption_resolution,[],[f727,f539]) ).
fof(f729,plain,
( '@<_succeeds'(sK36,sK19(sK33,s(sK34)))
| ~ spl41_6
| ~ spl41_8
| ~ spl41_14 ),
inference(forward_subsumption_resolution,[],[f728,f473]) ).
fof(f809,plain,
( '@<_succeeds'(sK32,s(sK36))
| ~ spl41_5
| ~ spl41_7 ),
inference(resolution,[],[f567,f458]) ).
fof(f810,plain,
( '@<_succeeds'(sK32,sK33)
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7 ),
inference(forward_demodulation,[],[f809,f463]) ).
fof(f813,plain,
( sK33 = s(sK31(sK33))
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7 ),
inference(resolution,[],[f810,f385]) ).
fof(f1146,plain,
( '0' != sK33
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7 ),
inference(superposition,[],[f238,f813]) ).
fof(f1295,plain,
( '0' != sK32
| ~ spl41_1
| ~ spl41_15 ),
inference(forward_demodulation,[],[f538,f523]) ).
fof(f1298,plain,
( $false
| ~ spl41_1
| ~ spl41_4
| ~ spl41_15 ),
inference(forward_subsumption_resolution,[],[f1295,f454]) ).
fof(f1299,plain,
( ~ spl41_1
| ~ spl41_4
| ~ spl41_15 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1319,definition,
( spl41_100
<=> s(sK34) = s(sK19(sK33,s(sK34))) ),
introduced(definition,[new_symbols(definition,[spl41_100])],[avatar_definition]) ).
fof(f1320,plain,
( s(sK34) = s(sK19(sK33,s(sK34)))
| ~ spl41_100 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1330,plain,
( sK33 = s(sK18(sK33,s(sK34)))
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8 ),
inference(forward_subsumption_resolution,[],[f497,f1146]) ).
fof(f1331,plain,
( spl41_14
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f1330,f472,f467,f462,f457,f519]) ).
fof(f1336,plain,
( ! [X0] :
( ~ '@<_succeeds'(sK35,X0)
| '@<_succeeds'(sK32,s(X0)) )
| ~ spl41_7 ),
inference(superposition,[],[f426,f468]) ).
fof(f1391,plain,
( ! [X0] :
( s(X0) != s(sK34)
| sK19(sK33,s(sK34)) = X0 )
| ~ spl41_100 ),
inference(superposition,[],[f239,f1320]) ).
fof(f1454,plain,
( sK34 = sK19(sK33,s(sK34))
| ~ spl41_100 ),
inference(equality_resolution,[],[f1391]) ).
fof(f1460,plain,
( '@<_succeeds'(sK36,sK34)
| ~ spl41_6
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(superposition,[],[f729,f1454]) ).
fof(f1468,plain,
( sK34 = s(sK31(sK34))
| ~ spl41_6
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(resolution,[],[f1460,f385]) ).
fof(f1627,plain,
( ~ '@<_succeeds'(sK36,sK34)
| '@<_succeeds'(sK35,sK31(sK34))
| ~ spl41_2
| ~ spl41_6
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(superposition,[],[f447,f1468]) ).
fof(f1634,plain,
( '@<_succeeds'(sK35,sK31(sK34))
| ~ spl41_2
| ~ spl41_6
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(forward_subsumption_resolution,[],[f1627,f1460]) ).
fof(f1806,plain,
( '@<_succeeds'(sK32,s(sK31(sK34)))
| ~ spl41_2
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(resolution,[],[f1336,f1634]) ).
fof(f1807,plain,
( '@<_succeeds'(sK32,sK34)
| ~ spl41_2
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(forward_demodulation,[],[f1806,f1468]) ).
fof(f1810,plain,
( $false
| ~ spl41_2
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| spl41_9
| ~ spl41_14
| ~ spl41_100 ),
inference(forward_subsumption_resolution,[],[f1807,f477]) ).
fof(f1811,plain,
( ~ spl41_2
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| spl41_9
| ~ spl41_14
| ~ spl41_100 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1814,plain,
( s(sK34) = s(sK19(sK33,s(sK34)))
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8 ),
inference(forward_subsumption_resolution,[],[f546,f1146]) ).
fof(f1822,plain,
( spl41_100
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f1814,f472,f467,f462,f457,f1319]) ).
fof(f1827,plain,
( s(sK34) = s(sK19(sK33,s(sK34)))
| ~ spl41_1
| ~ spl41_8 ),
inference(forward_subsumption_resolution,[],[f546,f538]) ).
fof(f1829,plain,
( spl41_100
| ~ spl41_1
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f1827,f472,f443,f1319]) ).
fof(f2642,plain,
( '@<_succeeds'(sK37,sK34)
| ~ spl41_1
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(forward_demodulation,[],[f723,f1454]) ).
fof(f2647,plain,
( '0' = sK37
| sK34 = s(sK19(sK37,sK34))
| ~ spl41_1
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(resolution,[],[f2642,f311]) ).
fof(f2651,plain,
( sK32 = sK37
| sK34 = s(sK19(sK37,sK34))
| ~ spl41_1
| ~ spl41_4
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(forward_demodulation,[],[f2647,f454]) ).
fof(f2656,definition,
( spl41_223
<=> sK32 = sK37 ),
introduced(definition,[new_symbols(definition,[spl41_223])],[avatar_definition]) ).
fof(f2657,plain,
( sK32 = sK37
| ~ spl41_223 ),
inference(avatar_component_clause,[],[f2656]) ).
fof(f2660,definition,
( spl41_224
<=> sK34 = s(sK19(sK37,sK34)) ),
introduced(definition,[new_symbols(definition,[spl41_224])],[avatar_definition]) ).
fof(f2661,plain,
( sK34 = s(sK19(sK37,sK34))
| ~ spl41_224 ),
inference(avatar_component_clause,[],[f2660]) ).
fof(f2662,plain,
( spl41_224
| spl41_223
| ~ spl41_1
| ~ spl41_4
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100 ),
inference(avatar_split_clause,[],[f2651,f1319,f519,f472,f453,f443,f2656,f2660]) ).
fof(f2663,plain,
( '@<_succeeds'(sK32,sK34)
| ~ spl41_1
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100
| ~ spl41_223 ),
inference(superposition,[],[f2642,f2657]) ).
fof(f2665,plain,
( $false
| ~ spl41_1
| ~ spl41_8
| spl41_9
| ~ spl41_14
| ~ spl41_100
| ~ spl41_223 ),
inference(forward_subsumption_resolution,[],[f2663,f477]) ).
fof(f2666,plain,
( ~ spl41_1
| ~ spl41_8
| spl41_9
| ~ spl41_14
| ~ spl41_100
| ~ spl41_223 ),
inference(avatar_contradiction_clause,[],[f2665]) ).
fof(f2677,plain,
( '@<_succeeds'('0',sK34)
| ~ spl41_224 ),
inference(superposition,[],[f428,f2661]) ).
fof(f2695,plain,
( '@<_succeeds'(sK32,sK34)
| ~ spl41_4
| ~ spl41_224 ),
inference(forward_demodulation,[],[f2677,f454]) ).
fof(f2697,plain,
( $false
| ~ spl41_4
| spl41_9
| ~ spl41_224 ),
inference(forward_subsumption_resolution,[],[f2695,f477]) ).
fof(f2698,plain,
( ~ spl41_4
| spl41_9
| ~ spl41_224 ),
inference(avatar_contradiction_clause,[],[f2697]) ).
cnf(s1,plain,
( spl41_1
| spl41_2
| spl41_3 ),
inference(sat_conversion,[],[f451]) ).
cnf(s2,plain,
( spl41_2
| spl41_3
| spl41_4 ),
inference(sat_conversion,[],[f455]) ).
cnf(s3,plain,
( spl41_1
| spl41_3
| spl41_5 ),
inference(sat_conversion,[],[f459]) ).
cnf(s4,plain,
( spl41_3
| spl41_4
| spl41_5 ),
inference(sat_conversion,[],[f460]) ).
cnf(s5,plain,
( spl41_1
| spl41_3
| spl41_6 ),
inference(sat_conversion,[],[f464]) ).
cnf(s6,plain,
( spl41_3
| spl41_4
| spl41_6 ),
inference(sat_conversion,[],[f465]) ).
cnf(s7,plain,
( spl41_1
| spl41_3
| spl41_7 ),
inference(sat_conversion,[],[f469]) ).
cnf(s8,plain,
( spl41_3
| spl41_4
| spl41_7 ),
inference(sat_conversion,[],[f470]) ).
cnf(s9,plain,
( spl41_3
| spl41_8 ),
inference(sat_conversion,[],[f474]) ).
cnf(s10,plain,
( spl41_3
| ~ spl41_9 ),
inference(sat_conversion,[],[f478]) ).
cnf(s13,plain,
~ spl41_3,
inference(sat_conversion,[],[f489]) ).
cnf(s16,plain,
( ~ spl41_4
| ~ spl41_8
| spl41_14
| spl41_15 ),
inference(sat_conversion,[],[f524]) ).
cnf(s81,plain,
( ~ spl41_1
| ~ spl41_4
| ~ spl41_15 ),
inference(sat_conversion,[],[f1299]) ).
cnf(s86,plain,
( ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| spl41_14 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s115,plain,
( ~ spl41_2
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| spl41_9
| ~ spl41_14
| ~ spl41_100 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s118,plain,
( ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| spl41_100 ),
inference(sat_conversion,[],[f1822]) ).
cnf(s120,plain,
( ~ spl41_1
| ~ spl41_8
| spl41_100 ),
inference(sat_conversion,[],[f1829]) ).
cnf(s171,plain,
( ~ spl41_1
| ~ spl41_4
| ~ spl41_8
| ~ spl41_14
| ~ spl41_100
| spl41_223
| spl41_224 ),
inference(sat_conversion,[],[f2662]) ).
cnf(s172,plain,
( ~ spl41_1
| ~ spl41_8
| spl41_9
| ~ spl41_14
| ~ spl41_100
| ~ spl41_223 ),
inference(sat_conversion,[],[f2666]) ).
cnf(s175,plain,
( ~ spl41_4
| spl41_9
| ~ spl41_224 ),
inference(sat_conversion,[],[f2698]) ).
cnf(s176,plain,
~ spl41_9,
inference(rat,[],[s10,s13]) ).
cnf(s177,plain,
spl41_8,
inference(rat,[],[s9,s13]) ).
cnf(s178,plain,
( spl41_4
| spl41_7 ),
inference(rat,[],[s8,s13]) ).
cnf(s179,plain,
( spl41_1
| spl41_7 ),
inference(rat,[],[s7,s13]) ).
cnf(s180,plain,
( spl41_4
| spl41_6 ),
inference(rat,[],[s6,s13]) ).
cnf(s181,plain,
( spl41_1
| spl41_6 ),
inference(rat,[],[s5,s13]) ).
cnf(s182,plain,
( spl41_4
| spl41_5 ),
inference(rat,[],[s4,s13]) ).
cnf(s183,plain,
( spl41_1
| spl41_5 ),
inference(rat,[],[s3,s13]) ).
cnf(s184,plain,
( spl41_2
| spl41_4 ),
inference(rat,[],[s2,s13]) ).
cnf(s185,plain,
( spl41_1
| spl41_2 ),
inference(rat,[],[s1,s13]) ).
cnf(s186,plain,
spl41_1,
inference(rat,[],[s115,s86,s118,s185,s183,s181,s179,s177,s176]) ).
cnf(s187,plain,
spl41_100,
inference(rat,[],[s120,s177,s186]) ).
cnf(s188,plain,
~ spl41_4,
inference(rat,[],[s171,s172,s16,s81,s175,s177,s186,s187,s176]) ).
cnf(s189,plain,
spl41_7,
inference(rat,[],[s178,s188]) ).
cnf(s190,plain,
spl41_6,
inference(rat,[],[s180,s188]) ).
cnf(s191,plain,
spl41_5,
inference(rat,[],[s182,s188]) ).
cnf(s192,plain,
spl41_2,
inference(rat,[],[s184,s188]) ).
cnf(s193,plain,
~ spl41_14,
inference(rat,[],[s115,s187,s189,s176,s177,s192,s190]) ).
cnf(s194,plain,
$false,
inference(rat,[],[s86,s190,s177,s189,s193,s191]) ).
fof(f2699,plain,
$false,
inference(avatar_sat_refutation,[],[s194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX040+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n010.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 14:54:58 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 9.42/1.80 % (1981774)Detected formulas, will run a generic FOF schedule.
% 9.42/1.80 % (1981833)dis-21_1_sil=8000:lcm=predicate:random_seed=1124066980:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.42/1.80 % (1981832)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=920868701:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.42/1.80 % (1981827)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2699970283:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.42/1.80 % (1981831)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1573111273:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.42/1.80 % (1981826)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=2847904135:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.42/1.80 % (1981830)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2386882274:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.42/1.80 % (1981828)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3533986907:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.42/1.80 % (1981830)Refutation not found, incomplete strategy
% 9.42/1.80 % (1981830)------------------------------
% 9.42/1.80 % (1981830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981830)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981830)Termination reason: Refutation not found, incomplete strategy
% 9.42/1.80 % (1981830)Time elapsed: 0.003 s
% 9.42/1.80 % (1981830)Peak memory usage: 88 MB
% 9.42/1.80 % (1981830)Instructions burned: 2 (million)
% 9.42/1.80 % (1981833)Instruction limit reached!
% 9.42/1.80 % (1981833)------------------------------
% 9.42/1.80 % (1981833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981833)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981833)Termination reason: Instruction limit
% 9.42/1.80 % (1981833)Termination phase: Saturation
% 9.42/1.80 % (1981833)Time elapsed: 0.045 s
% 9.42/1.80 % (1981833)Peak memory usage: 90 MB
% 9.42/1.80 % (1981833)Instructions burned: 129 (million)
% 9.42/1.80 % (1981831)Instruction limit reached!
% 9.42/1.80 % (1981831)------------------------------
% 9.42/1.80 % (1981831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981831)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981831)Termination reason: Instruction limit
% 9.42/1.80 % (1981831)Termination phase: Saturation
% 9.42/1.80 % (1981831)Time elapsed: 0.068 s
% 9.42/1.80 % (1981831)Peak memory usage: 88 MB
% 9.42/1.80 % (1981831)Instructions burned: 119 (million)
% 9.42/1.80 % (1981832)Instruction limit reached!
% 9.42/1.80 % (1981832)------------------------------
% 9.42/1.80 % (1981832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981832)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981832)Termination reason: Instruction limit
% 9.42/1.80 % (1981832)Termination phase: Saturation
% 9.42/1.80 % (1981832)Time elapsed: 0.098 s
% 9.42/1.80 % (1981832)Peak memory usage: 90 MB
% 9.42/1.80 % (1981832)Instructions burned: 139 (million)
% 9.42/1.80 % (1981876)lrs+10_1_sil=8000:sp=occurrence:random_seed=2420884019:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.42/1.80 % (1981896)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1681277584:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.42/1.80 % (1981830)------------------------------
% 9.42/1.80 % (1981830)------------------------------
% 9.42/1.80 % (1981876)Instruction limit reached!
% 9.42/1.80 % (1981876)------------------------------
% 9.42/1.80 % (1981876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981876)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981876)Termination reason: Instruction limit
% 9.42/1.80 % (1981876)Termination phase: Saturation
% 9.42/1.80 % (1981876)Time elapsed: 0.102 s
% 9.42/1.80 % (1981876)Peak memory usage: 92 MB
% 9.42/1.80 % (1981876)Instructions burned: 287 (million)
% 9.42/1.80 % (1981898)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2605114517:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.42/1.80 % (1981896)Instruction limit reached!
% 9.42/1.80 % (1981896)------------------------------
% 9.42/1.80 % (1981896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981896)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981896)Termination reason: Instruction limit
% 9.42/1.80 % (1981896)Termination phase: Saturation
% 9.42/1.80 % (1981896)Time elapsed: 0.071 s
% 9.42/1.80 % (1981896)Peak memory usage: 89 MB
% 9.42/1.80 % (1981896)Instructions burned: 158 (million)
% 9.42/1.80 % (1981929)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3942415797:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.42/1.80 % (1981929)Refutation not found, incomplete strategy
% 9.42/1.80 % (1981929)------------------------------
% 9.42/1.80 % (1981929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981929)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981929)Termination reason: Refutation not found, incomplete strategy
% 9.42/1.80 % (1981929)Time elapsed: 0.002 s
% 9.42/1.80 % (1981929)Peak memory usage: 89 MB
% 9.42/1.80 % (1981929)Instructions burned: 5 (million)
% 9.42/1.80 % (1981928)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2815673971:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.42/1.80 % (1981898)Instruction limit reached!
% 9.42/1.80 % (1981898)------------------------------
% 9.42/1.80 % (1981898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981898)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981898)Termination reason: Instruction limit
% 9.42/1.80 % (1981898)Termination phase: Saturation
% 9.42/1.80 % (1981898)Time elapsed: 0.207 s
% 9.42/1.80 % (1981898)Peak memory usage: 94 MB
% 9.42/1.80 % (1981898)Instructions burned: 326 (million)
% 9.42/1.80 % (1981929)------------------------------
% 9.42/1.80 % (1981929)------------------------------
% 9.42/1.80 % (1981928)Instruction limit reached!
% 9.42/1.80 % (1981928)------------------------------
% 9.42/1.80 % (1981928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981928)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981928)Termination reason: Instruction limit
% 9.42/1.80 % (1981928)Termination phase: Saturation
% 9.42/1.80 % (1981928)Time elapsed: 0.143 s
% 9.42/1.80 % (1981928)Peak memory usage: 91 MB
% 9.42/1.80 % (1981928)Instructions burned: 248 (million)
% 9.42/1.80 % (1981931)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1932649313:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.42/1.80 % (1981934)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3816017784:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.42/1.80 % (1981935)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3147638605:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.42/1.80 % (1981935)Instruction limit reached!
% 9.42/1.80 % (1981935)------------------------------
% 9.42/1.80 % (1981935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981935)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981935)Termination reason: Instruction limit
% 9.42/1.80 % (1981935)Termination phase: Saturation
% 9.42/1.80 % (1981935)Time elapsed: 0.035 s
% 9.42/1.80 % (1981935)Peak memory usage: 89 MB
% 9.42/1.80 % (1981935)Instructions burned: 131 (million)
% 9.42/1.80 % (1981934)Instruction limit reached!
% 9.42/1.80 % (1981934)------------------------------
% 9.42/1.80 % (1981934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981934)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981934)Termination reason: Instruction limit
% 9.42/1.80 % (1981934)Termination phase: Saturation
% 9.42/1.80 % (1981934)Time elapsed: 0.071 s
% 9.42/1.80 % (1981934)Peak memory usage: 90 MB
% 9.42/1.80 % (1981934)Instructions burned: 113 (million)
% 9.42/1.80 % (1981936)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2135186409:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.42/1.80 % (1981936)Instruction limit reached!
% 9.42/1.80 % (1981936)------------------------------
% 9.42/1.80 % (1981936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981936)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981936)Termination reason: Instruction limit
% 9.42/1.80 % (1981936)Termination phase: Saturation
% 9.42/1.80 % (1981936)Time elapsed: 0.059 s
% 9.42/1.80 % (1981936)Peak memory usage: 89 MB
% 9.42/1.80 % (1981936)Instructions burned: 114 (million)
% 9.42/1.80 % (1981940)lrs+10_1_sil=8000:sp=occurrence:random_seed=1938576221:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.42/1.80 % (1981827)First to succeed.
% 9.42/1.80 % (1981827)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1981774"
% 9.42/1.80 % (1981941)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4054150883:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.42/1.80 % (1981941)Refutation not found, incomplete strategy
% 9.42/1.80 % (1981941)------------------------------
% 9.42/1.80 % (1981941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.80 % (1981941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.80 % (1981941)CaDiCaL version: 2.1.3
% 9.42/1.80 % (1981941)Termination reason: Refutation not found, incomplete strategy
% 9.42/1.80 % (1981941)Time elapsed: 0.009 s
% 9.42/1.80 % (1981941)Peak memory usage: 88 MB
% 9.42/1.80 % (1981941)Instructions burned: 8 (million)
% 9.42/1.80 % (1981943)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4158198814:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.42/1.80 % (1981827)Refutation found. Thanks to Tanya!
% 9.42/1.80 % SZS status Theorem for theBenchmark
% 9.42/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 10.20/2.08 % (1981827)------------------------------
% 10.20/2.08 % (1981827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.08 % (1981827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.08 % (1981827)CaDiCaL version: 2.1.3
% 10.20/2.08 % (1981827)Termination reason: Refutation
% 10.20/2.08 % (1981827)Time elapsed: 0.806 s
% 10.20/2.08 % (1981827)Peak memory usage: 132 MB
% 10.20/2.08 % (1981827)Instructions burned: 1182 (million)
% 10.20/2.08 % (1981827)------------------------------
% 10.20/2.08 % (1981827)------------------------------
% 10.20/2.08 % (1981774)Success in time 1.382 s
% 10.20/2.08 % Vampire exiting
%------------------------------------------------------------------------------