%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW609_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:30:56 PM UTC 2026
% Result : Theorem 3.82s 1.23s
% Output : Refutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 35
% Syntax : Number of formulae : 124 ( 30 unt; 0 typ; 28 def)
% Number of atoms : 338 ( 75 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 337 ( 123 ~; 84 |; 73 &)
% ( 24 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 615 ( 181 atm; 148 fun; 207 num; 79 var)
% Number of types : 6 ( 4 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 23 usr; 23 prp; 0-2 aty)
% Number of functors : 34 ( 27 usr; 23 con; 0-4 aty)
% Number of variables : 79 ( 70 !; 9 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
abs1: $int > $int ).
tff(func_def_14,type,
div1: ( $int * $int ) > $int ).
tff(func_def_15,type,
mod1: ( $int * $int ) > $int ).
tff(func_def_18,type,
ref: ty > ty ).
tff(func_def_19,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_20,type,
contents: ( ty * uni ) > uni ).
tff(func_def_23,type,
sK0: $int ).
tff(func_def_24,type,
sK1: $int ).
tff(func_def_25,type,
sK2: $int ).
tff(func_def_26,type,
sF3: $int ).
tff(func_def_27,type,
sF4: $int ).
tff(func_def_28,type,
sF5: $int ).
tff(func_def_29,type,
sF6: $int ).
tff(func_def_30,type,
sF7: $int ).
tff(func_def_31,type,
sF8: $int ).
tff(func_def_32,type,
sF9: $int ).
tff(func_def_33,type,
sF10: $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(f9,axiom,
! [X0: $int] :
( ( $lesseq(0,X0)
=> ( abs1(X0) = X0 ) )
& ( ~ $lesseq(0,X0)
=> ( abs1(X0) = $uminus(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_def) ).
tff(f10,axiom,
! [X0: $int,X1: $int] :
( ( $lesseq($uminus(X1),X0)
& $lesseq(X0,X1) )
<=> $lesseq(abs1(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_le) ).
tff(f12,axiom,
! [X1: $int,X0: $int] :
( ( X1 != 0 )
=> ( X0 = $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mod) ).
tff(f16,axiom,
! [X1: $int,X0: $int] :
( ( $less(0,X1)
& $lesseq(X0,0) )
=> $lesseq(div1(X0,X1),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_sign_neg) ).
tff(f17,axiom,
! [X1: $int,X0: $int] :
( ( ( X1 != 0 )
& $lesseq(0,X0) )
=> $lesseq(0,mod1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_pos) ).
tff(f19,axiom,
! [X0: $int,X1: $int] :
( ( X1 != 0 )
=> $lesseq(abs1($product(div1(X0,X1),X1)),abs1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rounds_toward_zero) ).
tff(f30,conjecture,
! [X0: $int] :
( $lesseq(0,X0)
=> ( ( X0 != 0 )
=> ( ~ $lesseq(X0,3)
=> ! [X2: $int,X1: $int] :
( ( $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ( X1 = div1($sum(div1(X0,X2),X2),2) )
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(0,X2)
& $less(0,X1) )
=> ( ~ $less(X1,X2)
=> ( $lesseq($product(X2,X2),X0)
& $less(X0,$product($sum(X2,1),$sum(X2,1))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_sqrt) ).
tff(f31,negated_conjecture,
~ ! [X0: $int] :
( $lesseq(0,X0)
=> ( ( X0 != 0 )
=> ( ~ $lesseq(X0,3)
=> ! [X2: $int,X1: $int] :
( ( $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ( X1 = div1($sum(div1(X0,X2),X2),2) )
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(0,X2)
& $less(0,X1) )
=> ( ~ $less(X1,X2)
=> ( $lesseq($product(X2,X2),X0)
& $less(X0,$product($sum(X2,1),$sum(X2,1))) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
tff(f32,plain,
! [X0: $int,X1: $int] :
( ( X1 != 0 )
=> ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1))) ),
inference(theory_normalization,[],[f19]) ).
tff(f39,plain,
! [X0: $int] :
( ( ~ $less(X0,0)
=> ( abs1(X0) = X0 ) )
& ( $less(X0,0)
=> ( abs1(X0) = $uminus(X0) ) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f41,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( X0 != 0 )
=> ( $less(3,X0)
=> ! [X2: $int,X1: $int] :
( ( $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ( X1 = div1($sum(div1(X0,X2),X2),2) )
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(0,X2)
& $less(0,X1) )
=> ( ~ $less(X1,X2)
=> ( ~ $less(X0,$product(X2,X2))
& $less(X0,$product($sum(X2,1),$sum(X2,1))) ) ) ) ) ) ),
inference(theory_normalization,[],[f31]) ).
tff(f43,plain,
! [X1: $int,X0: $int] :
( ( ( X1 != 0 )
& ~ $less(X0,0) )
=> ~ $less(mod1(X0,X1),0) ),
inference(theory_normalization,[],[f17]) ).
tff(f44,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X1)
& ~ $less(0,X0) )
=> ~ $less(0,div1(X0,X1)) ),
inference(theory_normalization,[],[f16]) ).
tff(f45,plain,
! [X1: $int,X0: $int] :
( ~ $less(X1,abs1(X0))
<=> ( ~ $less(X1,X0)
& ~ $less(X0,$uminus(X1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f53,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( X0 != 0 )
=> ( $less(3,X0)
=> ! [X2: $int,X1: $int] :
( ( $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& $less(0,X2)
& ( div1($sum(div1(X0,X1),X1),2) = X2 )
& $less(0,X1) )
=> ( ~ $less(X2,X1)
=> ( ~ $less(X0,$product(X1,X1))
& $less(X0,$product($sum(X1,1),$sum(X1,1))) ) ) ) ) ) ),
inference(rectify,[],[f41]) ).
tff(f54,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X1,0)
& ( 0 != X0 ) )
=> ~ $less(mod1(X1,X0),0) ),
inference(rectify,[],[f43]) ).
tff(f56,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(0,X1)
& $less(0,X0) )
=> ~ $less(0,div1(X1,X0)) ),
inference(rectify,[],[f44]) ).
tff(f61,plain,
? [X0: $int] :
( ? [X2: $int,X1: $int] :
( ( $less(X0,$product(X1,X1))
| ~ $less(X0,$product($sum(X1,1),$sum(X1,1))) )
& ~ $less(X2,X1)
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& $less(0,X2)
& ( div1($sum(div1(X0,X1),X1),2) = X2 )
& $less(0,X1) )
& $less(3,X0)
& ( X0 != 0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f53]) ).
tff(f62,plain,
? [X0: $int] :
( ? [X2: $int,X1: $int] :
( ( div1($sum(div1(X0,X1),X1),2) = X2 )
& $less(0,X1)
& ( $less(X0,$product(X1,X1))
| ~ $less(X0,$product($sum(X1,1),$sum(X1,1))) )
& $less(0,X2)
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ~ $less(X2,X1) )
& $less(3,X0)
& ( X0 != 0 )
& ~ $less(X0,0) ),
inference(flattening,[],[f61]) ).
tff(f72,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod1(X1,X0),0)
| $less(X1,0)
| ( 0 = X0 ) ),
inference(ennf_transformation,[],[f54]) ).
tff(f73,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod1(X1,X0),0)
| ( 0 = X0 )
| $less(X1,0) ),
inference(flattening,[],[f72]) ).
tff(f76,plain,
! [X0: $int] :
( ( $less(X0,0)
| ( abs1(X0) = X0 ) )
& ( ( abs1(X0) = $uminus(X0) )
| ~ $less(X0,0) ) ),
inference(ennf_transformation,[],[f39]) ).
tff(f77,plain,
! [X1: $int,X0: $int] :
( ( 0 = X1 )
| ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1))) ),
inference(ennf_transformation,[],[f32]) ).
tff(f83,plain,
! [X1: $int,X0: $int] :
( ~ $less(0,div1(X1,X0))
| $less(0,X1)
| ~ $less(0,X0) ),
inference(ennf_transformation,[],[f56]) ).
tff(f84,plain,
! [X0: $int,X1: $int] :
( $less(0,X1)
| ~ $less(0,X0)
| ~ $less(0,div1(X1,X0)) ),
inference(flattening,[],[f83]) ).
tff(f85,plain,
! [X1: $int,X0: $int] :
( ( X0 = $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) )
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f89,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X1,abs1(X0))
| $less(X1,X0)
| $less(X0,$uminus(X1)) )
& ( ( ~ $less(X1,X0)
& ~ $less(X0,$uminus(X1)) )
| $less(X1,abs1(X0)) ) ),
inference(nnf_transformation,[],[f45]) ).
tff(f90,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X1,abs1(X0))
| $less(X1,X0)
| $less(X0,$uminus(X1)) )
& ( ( ~ $less(X1,X0)
& ~ $less(X0,$uminus(X1)) )
| $less(X1,abs1(X0)) ) ),
inference(flattening,[],[f89]) ).
tff(f91,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,abs1(X1))
| $less(X0,X1)
| $less(X1,$uminus(X0)) )
& ( ( ~ $less(X0,X1)
& ~ $less(X1,$uminus(X0)) )
| $less(X0,abs1(X1)) ) ),
inference(rectify,[],[f90]) ).
tff(f95,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ~ $less(abs1(X1),abs1($product(div1(X1,X0),X0))) ),
inference(rectify,[],[f77]) ).
tff(f98,plain,
? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ( div1($sum(div1(X0,X2),X2),2) = X1 )
& $less(0,X2)
& ( $less(X0,$product(X2,X2))
| ~ $less(X0,$product($sum(X2,1),$sum(X2,1))) )
& $less(0,X1)
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& ~ $less(X1,X2) )
& $less(3,X0)
& ( X0 != 0 )
& ~ $less(X0,0) ),
inference(rectify,[],[f62]) ).
tff(f99,plain,
( ( sK1 = div1($sum(div1(sK0,sK2),sK2),2) )
& $less(0,sK2)
& ( $less(sK0,$product(sK2,sK2))
| ~ $less(sK0,$product($sum(sK2,1),$sum(sK2,1))) )
& $less(0,sK1)
& $less(sK0,$product($sum(sK2,1),$sum(sK2,1)))
& $less(sK0,$product($sum(sK1,1),$sum(sK1,1)))
& ~ $less(sK1,sK2)
& $less(3,sK0)
& ( 0 != sK0 )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f98]) ).
tff(f103,plain,
! [X0: $int,X1: $int] :
( ( $sum($product(X0,div1(X1,X0)),mod1(X1,X0)) = X1 )
| ( 0 = X0 ) ),
inference(rectify,[],[f85]) ).
tff(f106,plain,
! [X0: $int] :
( ( abs1(X0) = X0 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f76]) ).
tff(f110,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div1(X1,X0))
| ~ $less(0,X0)
| $less(0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tff(f113,plain,
! [X0: $int,X1: $int] :
( $less(X0,abs1(X1))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
tff(f121,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod1(X1,X0),0)
| $less(X1,0)
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f73]) ).
tff(f124,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X1),abs1($product(div1(X1,X0),X0)))
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f95]) ).
tff(f130,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f99]) ).
tff(f132,plain,
$less(3,sK0),
inference(cnf_transformation,[],[f99]) ).
tff(f133,plain,
~ $less(sK1,sK2),
inference(cnf_transformation,[],[f99]) ).
tff(f135,plain,
$less(sK0,$product($sum(sK2,1),$sum(sK2,1))),
inference(cnf_transformation,[],[f99]) ).
tff(f136,plain,
$less(0,sK1),
inference(cnf_transformation,[],[f99]) ).
tff(f137,plain,
( $less(sK0,$product(sK2,sK2))
| ~ $less(sK0,$product($sum(sK2,1),$sum(sK2,1))) ),
inference(cnf_transformation,[],[f99]) ).
tff(f138,plain,
$less(0,sK2),
inference(cnf_transformation,[],[f99]) ).
tff(f139,plain,
sK1 = div1($sum(div1(sK0,sK2),sK2),2),
inference(cnf_transformation,[],[f99]) ).
tff(f146,plain,
! [X0: $int,X1: $int] :
( ( $sum($product(X0,div1(X1,X0)),mod1(X1,X0)) = X1 )
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f103]) ).
tff(f149,definition,
sF3 = div1(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f150,definition,
sF4 = $sum(sF3,sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f151,definition,
sF5 = div1(sF4,2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f152,plain,
sK1 = sF5,
inference(definition_folding,[],[f139,f151,f150,f149]) ).
tff(f153,definition,
sF6 = $product(sK2,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f154,plain,
$product(sK2,sK2) = sF6,
inference(reorient_equations,[],[f153]) ).
tff(f155,definition,
sF7 = $sum(sK2,1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f156,plain,
$sum(sK2,1) = sF7,
inference(reorient_equations,[],[f155]) ).
tff(f157,definition,
sF8 = $product(sF7,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
tff(f158,plain,
$product(sF7,sF7) = sF8,
inference(reorient_equations,[],[f157]) ).
tff(f159,plain,
( ~ $less(sK0,sF8)
| $less(sK0,sF6) ),
inference(definition_folding,[],[f137,f158,f156,f156,f154]) ).
tff(f160,plain,
$less(sK0,sF8),
inference(definition_folding,[],[f135,f158,f156,f156]) ).
tff(f171,definition,
( spl11_2
<=> ( sK1 = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
tff(f173,plain,
( ( sK1 = sF5 )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f174,plain,
spl11_2,
inference(avatar_split_clause,[],[f152,f171]) ).
tff(f176,definition,
( spl11_3
<=> ( sF3 = div1(sK0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
tff(f178,plain,
( ( sF3 = div1(sK0,sK2) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f176]) ).
tff(f179,plain,
spl11_3,
inference(avatar_split_clause,[],[f149,f176]) ).
tff(f181,definition,
( spl11_4
<=> $less(0,sK2) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
tff(f184,plain,
spl11_4,
inference(avatar_split_clause,[],[f138,f181]) ).
tff(f186,definition,
( spl11_5
<=> ( sF5 = div1(sF4,2) ) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
tff(f188,plain,
( ( sF5 = div1(sF4,2) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f186]) ).
tff(f189,plain,
spl11_5,
inference(avatar_split_clause,[],[f151,f186]) ).
tff(f196,definition,
( spl11_7
<=> ( sF4 = $sum(sF3,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
tff(f199,plain,
spl11_7,
inference(avatar_split_clause,[],[f150,f196]) ).
tff(f211,definition,
( spl11_10
<=> $less(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
tff(f214,plain,
~ spl11_10,
inference(avatar_split_clause,[],[f133,f211]) ).
tff(f216,definition,
( spl11_11
<=> $less(0,sK1) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
tff(f218,plain,
( $less(0,sK1)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f219,plain,
spl11_11,
inference(avatar_split_clause,[],[f136,f216]) ).
tff(f221,definition,
( spl11_12
<=> $less(sK0,sF8) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
tff(f224,plain,
spl11_12,
inference(avatar_split_clause,[],[f160,f221]) ).
tff(f231,definition,
( spl11_14
<=> $less(sK0,sF6) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
tff(f234,plain,
( ~ spl11_12
| spl11_14 ),
inference(avatar_split_clause,[],[f159,f231,f221]) ).
tff(f236,definition,
( spl11_15
<=> ( $product(sK2,sK2) = sF6 ) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
tff(f239,plain,
spl11_15,
inference(avatar_split_clause,[],[f154,f236]) ).
tff(f246,definition,
( spl11_17
<=> $less(sK0,0) ),
introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).
tff(f248,plain,
( ~ $less(sK0,0)
| spl11_17 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f249,plain,
~ spl11_17,
inference(avatar_split_clause,[],[f130,f246]) ).
tff(f256,definition,
( spl11_19
<=> $less(3,sK0) ),
introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition]) ).
tff(f259,plain,
spl11_19,
inference(avatar_split_clause,[],[f132,f256]) ).
tff(f263,plain,
( ( sK1 = div1(sF4,2) )
| ~ spl11_2
| ~ spl11_5 ),
inference(forward_demodulation,[],[f188,f173]) ).
tff(f265,definition,
( spl11_20
<=> ( sK1 = div1(sF4,2) ) ),
introduced(definition,[new_symbols(definition,[spl11_20])],[avatar_definition]) ).
tff(f267,plain,
( ( sK1 = div1(sF4,2) )
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f265]) ).
tff(f268,plain,
( spl11_20
| ~ spl11_2
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f263,f186,f171,f265]) ).
tff(f321,plain,
( ~ $less(0,2)
| $less(0,sF4)
| ~ $less(0,sK1)
| ~ spl11_20 ),
inference(superposition,[],[f110,f267]) ).
tff(f322,plain,
( ~ $less(0,sK1)
| $less(0,sF4)
| ~ spl11_20 ),
inference(evaluation,[],[f321]) ).
tff(f324,plain,
( $less(0,sF4)
| ~ spl11_11
| ~ spl11_20 ),
inference(forward_subsumption_resolution,[],[f322,f218]) ).
tff(f335,definition,
( spl11_25
<=> $less(0,sF4) ),
introduced(definition,[new_symbols(definition,[spl11_25])],[avatar_definition]) ).
tff(f338,plain,
( spl11_25
| ~ spl11_11
| ~ spl11_20 ),
inference(avatar_split_clause,[],[f324,f265,f216,f335]) ).
tff(f362,definition,
( spl11_27
<=> $less(sF4,0) ),
introduced(definition,[new_symbols(definition,[spl11_27])],[avatar_definition]) ).
tff(f449,plain,
( ( 0 = 2 )
| ~ $less(abs1(sF4),abs1($product(sK1,2)))
| ~ spl11_20 ),
inference(superposition,[],[f124,f267]) ).
tff(f452,plain,
( ~ $less(abs1(sF4),abs1($product(sK1,2)))
| ~ spl11_20 ),
inference(evaluation,[],[f449]) ).
tff(f460,definition,
( spl11_39
<=> ( 0 = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl11_39])],[avatar_definition]) ).
tff(f465,definition,
( spl11_40
<=> $less(abs1(sF4),abs1($product(sK1,2))) ),
introduced(definition,[new_symbols(definition,[spl11_40])],[avatar_definition]) ).
tff(f467,plain,
( ~ $less(abs1(sF4),abs1($product(sK1,2)))
| spl11_40 ),
inference(avatar_component_clause,[],[f465]) ).
tff(f468,plain,
( ~ spl11_40
| ~ spl11_20 ),
inference(avatar_split_clause,[],[f452,f265,f465]) ).
tff(f541,plain,
( ( $sum($product(sK2,sF3),mod1(sK0,sK2)) = sK0 )
| ( 0 = sK2 )
| ~ spl11_3 ),
inference(superposition,[],[f146,f178]) ).
tff(f542,plain,
( ( 0 = 2 )
| ( $sum($product(2,sK1),mod1(sF4,2)) = sF4 )
| ~ spl11_20 ),
inference(superposition,[],[f146,f267]) ).
tff(f548,plain,
( ( $sum($product(2,sK1),mod1(sF4,2)) = sF4 )
| ~ spl11_20 ),
inference(evaluation,[],[f542]) ).
tff(f564,definition,
( spl11_56
<=> ( $sum($product(2,sK1),mod1(sF4,2)) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl11_56])],[avatar_definition]) ).
tff(f567,plain,
( spl11_56
| ~ spl11_20 ),
inference(avatar_split_clause,[],[f548,f265,f564]) ).
tff(f569,definition,
( spl11_57
<=> ( $sum($product(sK2,sF3),mod1(sK0,sK2)) = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl11_57])],[avatar_definition]) ).
tff(f572,plain,
( spl11_39
| spl11_57
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f541,f176,f569,f460]) ).
tff(f641,plain,
( ~ $less(abs1(sF4),$product(sK1,2))
| spl11_40 ),
inference(resolution,[],[f467,f113]) ).
tff(f656,definition,
( spl11_68
<=> $less(abs1(sF4),$product(sK1,2)) ),
introduced(definition,[new_symbols(definition,[spl11_68])],[avatar_definition]) ).
tff(f658,plain,
( ~ $less(abs1(sF4),$product(sK1,2))
| spl11_68 ),
inference(avatar_component_clause,[],[f656]) ).
tff(f659,plain,
( ~ spl11_68
| spl11_40 ),
inference(avatar_split_clause,[],[f641,f465,f656]) ).
tff(f884,plain,
( ~ $less(sF4,$product(sK1,2))
| $less(sF4,0)
| spl11_68 ),
inference(superposition,[],[f658,f106]) ).
tff(f886,definition,
( spl11_100
<=> $less(sF4,$product(sK1,2)) ),
introduced(definition,[new_symbols(definition,[spl11_100])],[avatar_definition]) ).
tff(f889,plain,
( ~ spl11_100
| spl11_27
| spl11_68 ),
inference(avatar_split_clause,[],[f884,f656,f362,f886]) ).
tff(f923,definition,
( spl11_106
<=> $less(mod1(sK0,sK2),0) ),
introduced(definition,[new_symbols(definition,[spl11_106])],[avatar_definition]) ).
tff(f925,plain,
( $less(mod1(sK0,sK2),0)
| ~ spl11_106 ),
inference(avatar_component_clause,[],[f923]) ).
tff(f933,plain,
( $less(sK0,0)
| ( 0 = sK2 )
| ~ spl11_106 ),
inference(resolution,[],[f925,f121]) ).
tff(f936,plain,
( ( 0 = sK2 )
| spl11_17
| ~ spl11_106 ),
inference(forward_subsumption_resolution,[],[f933,f248]) ).
tff(f937,plain,
( spl11_39
| spl11_17
| ~ spl11_106 ),
inference(avatar_split_clause,[],[f936,f923,f246,f460]) ).
tff(f938,plain,
$false,
inference(avatar_smt_refutation,[],[f937,f889,f659,f572,f567,f468,f338,f268,f259,f249,f239,f234,f224,f219,f214,f199,f189,f184,f179,f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW609_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % 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 14:24:30 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/1.21 % (1621055)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.82/1.21 % (1621063)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3781561932:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.82/1.21 % (1621063)Instruction limit reached!
% 3.82/1.21 % (1621063)------------------------------
% 3.82/1.21 % (1621063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.21 % (1621063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.21 % (1621063)CaDiCaL version: 2.1.3
% 3.82/1.21 % (1621063)Termination reason: Instruction limit
% 3.82/1.21 % (1621063)Termination phase: Saturation
% 3.82/1.21 % (1621063)Time elapsed: 0.003 s
% 3.82/1.21 % (1621063)Peak memory usage: 88 MB
% 3.82/1.21 % (1621063)Instructions burned: 8 (million)
% 3.82/1.21 % (1621064)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=673174336:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.82/1.21 % (1621066)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3147970053:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.82/1.21 % (1621060)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=651847219:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.82/1.21 % (1621061)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2530376369:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.82/1.21 % (1621062)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1891884855:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.82/1.21 % (1621065)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2402218852:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.82/1.21 % (1621064)Instruction limit reached!
% 3.82/1.21 % (1621064)------------------------------
% 3.82/1.21 % (1621064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.21 % (1621064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.21 % (1621064)CaDiCaL version: 2.1.3
% 3.82/1.21 % (1621064)Termination reason: Instruction limit
% 3.82/1.21 % (1621064)Termination phase: Saturation
% 3.82/1.21 % (1621064)Time elapsed: 0.004 s
% 3.82/1.21 % (1621064)Peak memory usage: 89 MB
% 3.82/1.21 % (1621064)Instructions burned: 5 (million)
% 3.82/1.21 % (1621060)Instruction limit reached!
% 3.82/1.21 % (1621060)------------------------------
% 3.82/1.21 % (1621060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.21 % (1621060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.21 % (1621060)CaDiCaL version: 2.1.3
% 3.82/1.21 % (1621060)Termination reason: Instruction limit
% 3.82/1.21 % (1621060)Termination phase: Saturation
% 3.82/1.21 % (1621060)Time elapsed: 0.029 s
% 3.82/1.21 % (1621060)Peak memory usage: 116 MB
% 3.82/1.21 % (1621060)Instructions burned: 12 (million)
% 3.82/1.21 % (1621066)Instruction limit reached!
% 3.82/1.21 % (1621066)------------------------------
% 3.82/1.21 % (1621066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.21 % (1621066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.21 % (1621066)CaDiCaL version: 2.1.3
% 3.82/1.21 % (1621066)Termination reason: Instruction limit
% 3.82/1.21 % (1621066)Termination phase: Saturation
% 3.82/1.21 % (1621066)Time elapsed: 0.043 s
% 3.82/1.21 % (1621066)Peak memory usage: 118 MB
% 3.82/1.21 % (1621066)Instructions burned: 33 (million)
% 3.82/1.21 % (1621065)Instruction limit reached!
% 3.82/1.21 % (1621065)------------------------------
% 3.82/1.21 % (1621065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.21 % (1621065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.21 % (1621065)CaDiCaL version: 2.1.3
% 3.82/1.21 % (1621065)Termination reason: Instruction limit
% 3.82/1.21 % (1621065)Termination phase: Saturation
% 3.82/1.21 % (1621065)Time elapsed: 0.055 s
% 3.82/1.21 % (1621065)Peak memory usage: 118 MB
% 3.82/1.21 % (1621065)Instructions burned: 46 (million)
% 3.82/1.21 % (1621068)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=353239023:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.82/1.21 % (1621068)Instruction limit reached!
% 3.82/1.21 % (1621068)------------------------------
% 3.82/1.21 % (1621068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621068)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621068)Termination reason: Instruction limit
% 3.82/1.23 % (1621068)Termination phase: Saturation
% 3.82/1.23 % (1621068)Time elapsed: 0.006 s
% 3.82/1.23 % (1621068)Peak memory usage: 89 MB
% 3.82/1.23 % (1621068)Instructions burned: 14 (million)
% 3.82/1.23 % (1621075)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2227696525:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.82/1.23 % (1621075)Instruction limit reached!
% 3.82/1.23 % (1621075)------------------------------
% 3.82/1.23 % (1621075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621075)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621075)Termination reason: Instruction limit
% 3.82/1.23 % (1621075)Termination phase: Saturation
% 3.82/1.23 % (1621075)Time elapsed: 0.023 s
% 3.82/1.23 % (1621075)Peak memory usage: 89 MB
% 3.82/1.23 % (1621075)Instructions burned: 29 (million)
% 3.82/1.23 % (1621062)Instruction limit reached!
% 3.82/1.23 % (1621062)------------------------------
% 3.82/1.23 % (1621062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621062)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621062)Termination reason: Instruction limit
% 3.82/1.23 % (1621062)Termination phase: Saturation
% 3.82/1.23 % (1621062)Time elapsed: 0.150 s
% 3.82/1.23 % (1621062)Peak memory usage: 117 MB
% 3.82/1.23 % (1621062)Instructions burned: 202 (million)
% 3.82/1.23 % (1621061)First to succeed.
% 3.82/1.23 % (1621061)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1621055"
% 3.82/1.23 % (1621077)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3637243524:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.82/1.23 % (1621076)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1310427103:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.82/1.23 % (1621076)Instruction limit reached!
% 3.82/1.23 % (1621076)------------------------------
% 3.82/1.23 % (1621076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621076)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621076)Termination reason: Instruction limit
% 3.82/1.23 % (1621076)Termination phase: Saturation
% 3.82/1.23 % (1621076)Time elapsed: 0.011 s
% 3.82/1.23 % (1621076)Peak memory usage: 90 MB
% 3.82/1.23 % (1621076)Instructions burned: 16 (million)
% 3.82/1.23 % (1621080)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2689533190:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.82/1.23 % (1621077)Instruction limit reached!
% 3.82/1.23 % (1621077)------------------------------
% 3.82/1.23 % (1621077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621077)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621077)Termination reason: Instruction limit
% 3.82/1.23 % (1621077)Termination phase: Saturation
% 3.82/1.23 % (1621077)Time elapsed: 0.021 s
% 3.82/1.23 % (1621077)Peak memory usage: 89 MB
% 3.82/1.23 % (1621077)Instructions burned: 27 (million)
% 3.82/1.23 % (1621078)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2139937525:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.82/1.23 % (1621080)Instruction limit reached!
% 3.82/1.23 % (1621080)------------------------------
% 3.82/1.23 % (1621080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621080)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621080)Termination reason: Instruction limit
% 3.82/1.23 % (1621080)Termination phase: Saturation
% 3.82/1.23 % (1621080)Time elapsed: 0.025 s
% 3.82/1.23 % (1621080)Peak memory usage: 89 MB
% 3.82/1.23 % (1621080)Instructions burned: 90 (million)
% 3.82/1.23 % (1621078)Instruction limit reached!
% 3.82/1.23 % (1621078)------------------------------
% 3.82/1.23 % (1621078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621078)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621078)Termination reason: Instruction limit
% 3.82/1.23 % (1621078)Termination phase: Saturation
% 3.82/1.23 % (1621078)Time elapsed: 0.021 s
% 3.82/1.23 % (1621078)Peak memory usage: 89 MB
% 3.82/1.23 % (1621078)Instructions burned: 34 (million)
% 3.82/1.23 % (1621082)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3138331123:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 3.82/1.23 % (1621082)Instruction limit reached!
% 3.82/1.23 % (1621082)------------------------------
% 3.82/1.23 % (1621082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621082)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621082)Termination reason: Instruction limit
% 3.82/1.23 % (1621082)Termination phase: Saturation
% 3.82/1.23 % (1621082)Time elapsed: 0.002 s
% 3.82/1.23 % (1621082)Peak memory usage: 88 MB
% 3.82/1.23 % (1621082)Instructions burned: 2 (million)
% 3.82/1.23 % (1621083)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1566034933:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.82/1.23 % (1621090)lrs+10_1_thi=all:si=on:fd=off:random_seed=178264308:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.82/1.23 % (1621089)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2983471407:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.82/1.23 % (1621087)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=845422493:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.82/1.23 % (1621087)Instruction limit reached!
% 3.82/1.23 % (1621087)------------------------------
% 3.82/1.23 % (1621087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621087)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621087)Termination reason: Instruction limit
% 3.82/1.23 % (1621087)Termination phase: Saturation
% 3.82/1.23 % (1621087)Time elapsed: 0.003 s
% 3.82/1.23 % (1621087)Peak memory usage: 88 MB
% 3.82/1.23 % (1621087)Instructions burned: 4 (million)
% 3.82/1.23 % (1621090)Instruction limit reached!
% 3.82/1.23 % (1621090)------------------------------
% 3.82/1.23 % (1621090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621090)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621090)Termination reason: Instruction limit
% 3.82/1.23 % (1621090)Termination phase: Saturation
% 3.82/1.23 % (1621090)Time elapsed: 0.036 s
% 3.82/1.23 % (1621090)Peak memory usage: 116 MB
% 3.82/1.23 % (1621090)Instructions burned: 54 (million)
% 3.82/1.23 % (1621091)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3041075643:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 3.82/1.23 % (1621091)Instruction limit reached!
% 3.82/1.23 % (1621091)------------------------------
% 3.82/1.23 % (1621091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621091)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621091)Termination reason: Instruction limit
% 3.82/1.23 % (1621091)Termination phase: Saturation
% 3.82/1.23 % (1621091)Time elapsed: 0.006 s
% 3.82/1.23 % (1621091)Peak memory usage: 88 MB
% 3.82/1.23 % (1621091)Instructions burned: 9 (million)
% 3.82/1.23 % (1621089)Instruction limit reached!
% 3.82/1.23 % (1621089)------------------------------
% 3.82/1.23 % (1621089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621089)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621089)Termination reason: Instruction limit
% 3.82/1.23 % (1621089)Termination phase: Saturation
% 3.82/1.23 % (1621089)Time elapsed: 0.094 s
% 3.82/1.23 % (1621089)Peak memory usage: 136 MB
% 3.82/1.23 % (1621089)Instructions burned: 66 (million)
% 3.82/1.23 % (1621093)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2213394002:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 3.82/1.23 % (1621093)Instruction limit reached!
% 3.82/1.23 % (1621093)------------------------------
% 3.82/1.23 % (1621093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621093)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621093)Termination reason: Instruction limit
% 3.82/1.23 % (1621093)Termination phase: Saturation
% 3.82/1.23 % (1621093)Time elapsed: 0.003 s
% 3.82/1.23 % (1621093)Peak memory usage: 88 MB
% 3.82/1.23 % (1621093)Instructions burned: 4 (million)
% 3.82/1.23 % (1621083)Instruction limit reached!
% 3.82/1.23 % (1621083)------------------------------
% 3.82/1.23 % (1621083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.23 % (1621083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.23 % (1621083)CaDiCaL version: 2.1.3
% 3.82/1.23 % (1621083)Termination reason: Instruction limit
% 3.82/1.23 % (1621083)Termination phase: Saturation
% 3.82/1.23 % (1621083)Time elapsed: 0.124 s
% 3.82/1.23 % (1621083)Peak memory usage: 90 MB
% 3.82/1.23 % (1621083)Instructions burned: 181 (million)
% 3.82/1.23 % (1621061)Refutation found. Thanks to Tanya!
% 3.82/1.23 % SZS status Theorem for theBenchmark
% 3.82/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 4.69/1.42 % (1621061)------------------------------
% 4.69/1.42 % (1621061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.42 % (1621061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.42 % (1621061)CaDiCaL version: 2.1.3
% 4.69/1.42 % (1621061)Termination reason: Refutation
% 4.69/1.42 % (1621061)Time elapsed: 0.162 s
% 4.69/1.42 % (1621061)Peak memory usage: 120 MB
% 4.69/1.42 % (1621061)Instructions burned: 207 (million)
% 4.69/1.42 % (1621061)------------------------------
% 4.69/1.42 % (1621061)------------------------------
% 4.69/1.42 % (1621055)Success in time 0.571 s
% 4.69/1.42 % Vampire exiting
%------------------------------------------------------------------------------