TSTP Solution File: SWW609_2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW609_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n020.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 : Fri Sep 1 01:05:02 EDT 2023
% Result : Theorem 4.31s 0.99s
% Output : Refutation 4.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 137
% Syntax : Number of formulae : 376 ( 63 unt; 35 typ; 0 def)
% Number of atoms : 897 ( 190 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 935 ( 379 ~; 315 |; 108 &)
% ( 80 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 1164 ( 366 atm; 237 fun; 411 num; 150 var)
% Number of types : 6 ( 4 usr; 1 ari)
% Number of type conns : 17 ( 9 >; 8 *; 0 +; 0 <<)
% Number of predicates : 82 ( 78 usr; 78 prp; 0-2 aty)
% Number of functors : 38 ( 30 usr; 27 con; 0-4 aty)
% Number of variables : 150 (; 137 !; 13 ?; 150 :)
% 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: $int ).
tff(func_def_40,type,
'$inst12': $int ).
tff(func_def_41,type,
'$inst13': $int ).
tff(func_def_42,type,
'$inst14': $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(f1264,plain,
$false,
inference(avatar_smt_refutation,[],[f169,f174,f179,f184,f189,f194,f199,f204,f209,f214,f234,f240,f246,f251,f268,f277,f292,f297,f307,f312,f322,f327,f337,f350,f382,f418,f429,f437,f471,f533,f568,f676,f685,f701,f710,f715,f726,f733,f738,f754,f772,f782,f788,f804,f824,f837,f849,f860,f871,f892,f940,f946,f1005,f1024,f1036,f1045,f1052,f1057,f1062,f1122,f1190,f1244,f1263]) ).
tff(f1263,plain,
( ~ spl11_77
| spl11_69 ),
inference(avatar_split_clause,[],[f1170,f1042,f1260]) ).
tff(f1260,plain,
( spl11_77
<=> $less(sK0,$product(sF8,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_77])]) ).
tff(f1042,plain,
( spl11_69
<=> $less(abs1(sK0),$product(sF8,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_69])]) ).
tff(f1170,plain,
( ~ $less(sK0,$product(sF8,sK2))
| spl11_69 ),
inference(global_subsumption,[],[f107,f1166]) ).
tff(f1166,plain,
( ~ $less(sK0,$product(sF8,sK2))
| $less(sK0,0)
| spl11_69 ),
inference(superposition,[],[f1044,f123]) ).
tff(f123,plain,
! [X0: $int] :
( ( abs1(X0) = X0 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: $int] :
( ( ( abs1(X0) = $uminus(X0) )
| ~ $less(X0,0) )
& ( ( abs1(X0) = X0 )
| $less(X0,0) ) ),
inference(ennf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: $int] :
( ( $less(X0,0)
=> ( abs1(X0) = $uminus(X0) ) )
& ( ~ $less(X0,0)
=> ( abs1(X0) = X0 ) ) ),
inference(rectify,[],[f34]) ).
tff(f34,plain,
! [X1: $int] :
( ( $less(X1,0)
=> ( abs1(X1) = $uminus(X1) ) )
& ( ~ $less(X1,0)
=> ( abs1(X1) = X1 ) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f9,axiom,
! [X1: $int] :
( ( ~ $lesseq(0,X1)
=> ( abs1(X1) = $uminus(X1) ) )
& ( $lesseq(0,X1)
=> ( abs1(X1) = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',abs_def) ).
tff(f1044,plain,
( ~ $less(abs1(sK0),$product(sF8,sK2))
| spl11_69 ),
inference(avatar_component_clause,[],[f1042]) ).
tff(f107,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f104]) ).
tff(f104,plain,
( ( ~ $less(sK0,$product($sum(sK2,1),$sum(sK2,1)))
| $less(sK0,$product(sK2,sK2)) )
& ~ $less(sK1,sK2)
& $less(sK0,$product($sum(sK1,1),$sum(sK1,1)))
& $less(sK0,$product($sum(sK2,1),$sum(sK2,1)))
& ( sK1 = div1($sum(div1(sK0,sK2),sK2),2) )
& $less(0,sK2)
& $less(0,sK1)
& $less(3,sK0)
& ( 0 != sK0 )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f73,f103,f102]) ).
tff(f102,plain,
( ? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ( ~ $less(X0,$product($sum(X2,1),$sum(X2,1)))
| $less(X0,$product(X2,X2)) )
& ~ $less(X1,X2)
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ( div1($sum(div1(X0,X2),X2),2) = X1 )
& $less(0,X2)
& $less(0,X1) )
& $less(3,X0)
& ( 0 != X0 )
& ~ $less(X0,0) )
=> ( ? [X2: $int,X1: $int] :
( ( ~ $less(sK0,$product($sum(X2,1),$sum(X2,1)))
| $less(sK0,$product(X2,X2)) )
& ~ $less(X1,X2)
& $less(sK0,$product($sum(X1,1),$sum(X1,1)))
& $less(sK0,$product($sum(X2,1),$sum(X2,1)))
& ( div1($sum(div1(sK0,X2),X2),2) = X1 )
& $less(0,X2)
& $less(0,X1) )
& $less(3,sK0)
& ( 0 != sK0 )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f103,plain,
( ? [X2: $int,X1: $int] :
( ( ~ $less(sK0,$product($sum(X2,1),$sum(X2,1)))
| $less(sK0,$product(X2,X2)) )
& ~ $less(X1,X2)
& $less(sK0,$product($sum(X1,1),$sum(X1,1)))
& $less(sK0,$product($sum(X2,1),$sum(X2,1)))
& ( div1($sum(div1(sK0,X2),X2),2) = X1 )
& $less(0,X2)
& $less(0,X1) )
=> ( ( ~ $less(sK0,$product($sum(sK2,1),$sum(sK2,1)))
| $less(sK0,$product(sK2,sK2)) )
& ~ $less(sK1,sK2)
& $less(sK0,$product($sum(sK1,1),$sum(sK1,1)))
& $less(sK0,$product($sum(sK2,1),$sum(sK2,1)))
& ( sK1 = div1($sum(div1(sK0,sK2),sK2),2) )
& $less(0,sK2)
& $less(0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f73,plain,
? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ( ~ $less(X0,$product($sum(X2,1),$sum(X2,1)))
| $less(X0,$product(X2,X2)) )
& ~ $less(X1,X2)
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ( div1($sum(div1(X0,X2),X2),2) = X1 )
& $less(0,X2)
& $less(0,X1) )
& $less(3,X0)
& ( 0 != X0 )
& ~ $less(X0,0) ),
inference(flattening,[],[f72]) ).
tff(f72,plain,
? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ( ~ $less(X0,$product($sum(X2,1),$sum(X2,1)))
| $less(X0,$product(X2,X2)) )
& ~ $less(X1,X2)
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ( div1($sum(div1(X0,X2),X2),2) = X1 )
& $less(0,X2)
& $less(0,X1) )
& $less(3,X0)
& ( 0 != X0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f47]) ).
tff(f47,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( 0 != X0 )
=> ( $less(3,X0)
=> ! [X1: $int,X2: $int] :
( ( $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ( div1($sum(div1(X0,X2),X2),2) = X1 )
& $less(0,X2)
& $less(0,X1) )
=> ( ~ $less(X1,X2)
=> ( $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ~ $less(X0,$product(X2,X2)) ) ) ) ) ) ),
inference(rectify,[],[f32]) ).
tff(f32,plain,
~ ! [X1: $int] :
( ~ $less(X1,0)
=> ( ( 0 != X1 )
=> ( $less(3,X1)
=> ! [X4: $int,X7: $int] :
( ( $less(X1,$product($sum(X4,1),$sum(X4,1)))
& $less(X1,$product($sum(X7,1),$sum(X7,1)))
& ( div1($sum(div1(X1,X7),X7),2) = X4 )
& $less(0,X7)
& $less(0,X4) )
=> ( ~ $less(X4,X7)
=> ( $less(X1,$product($sum(X7,1),$sum(X7,1)))
& ~ $less(X1,$product(X7,X7)) ) ) ) ) ) ),
inference(theory_normalization,[],[f31]) ).
tff(f31,negated_conjecture,
~ ! [X1: $int] :
( $lesseq(0,X1)
=> ( ( 0 != X1 )
=> ( ~ $lesseq(X1,3)
=> ! [X4: $int,X7: $int] :
( ( $less(X1,$product($sum(X4,1),$sum(X4,1)))
& $less(X1,$product($sum(X7,1),$sum(X7,1)))
& ( div1($sum(div1(X1,X7),X7),2) = X4 )
& $less(0,X7)
& $less(0,X4) )
=> ( ~ $less(X4,X7)
=> ( $less(X1,$product($sum(X7,1),$sum(X7,1)))
& $lesseq($product(X7,X7),X1) ) ) ) ) ) ),
inference(negated_conjecture,[],[f30]) ).
tff(f30,conjecture,
! [X1: $int] :
( $lesseq(0,X1)
=> ( ( 0 != X1 )
=> ( ~ $lesseq(X1,3)
=> ! [X4: $int,X7: $int] :
( ( $less(X1,$product($sum(X4,1),$sum(X4,1)))
& $less(X1,$product($sum(X7,1),$sum(X7,1)))
& ( div1($sum(div1(X1,X7),X7),2) = X4 )
& $less(0,X7)
& $less(0,X4) )
=> ( ~ $less(X4,X7)
=> ( $less(X1,$product($sum(X7,1),$sum(X7,1)))
& $lesseq($product(X7,X7),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',wP_parameter_sqrt) ).
tff(f1244,plain,
( spl11_75
| spl11_76
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f570,f294,f1242,f1238]) ).
tff(f1238,plain,
( spl11_75
<=> $less(sF3,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_75])]) ).
tff(f1242,plain,
( spl11_76
<=> ! [X0: $int] :
( ~ $less(sF4,$product(X0,sF3))
| $less(sF3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_76])]) ).
tff(f294,plain,
( spl11_18
<=> ( $product(sF3,sF3) = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
tff(f570,plain,
( ! [X0: $int] :
( ~ $less(sF4,$product(X0,sF3))
| $less(sF3,0)
| $less(sF3,X0) )
| ~ spl11_18 ),
inference(superposition,[],[f147,f296]) ).
tff(f296,plain,
( ( $product(sF3,sF3) = sF4 )
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f294]) ).
tff(f147,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($product(X1,X2),$product(X0,X2))
| $less(X2,0)
| $less(X1,X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less($product(X1,X2),$product(X0,X2))
| $less(X2,0)
| $less(X1,X0) ),
inference(flattening,[],[f96]) ).
tff(f96,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less($product(X1,X2),$product(X0,X2))
| $less(X2,0)
| $less(X1,X0) ),
inference(ennf_transformation,[],[f69]) ).
tff(f69,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(X1,X0)
=> ( ~ $less(X2,0)
=> ~ $less($product(X1,X2),$product(X0,X2)) ) ),
inference(rectify,[],[f44]) ).
tff(f44,plain,
! [X1: $int,X7: $int,X4: $int] :
( ~ $less(X7,X1)
=> ( ~ $less(X4,0)
=> ~ $less($product(X7,X4),$product(X1,X4)) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X1: $int,X7: $int,X4: $int] :
( $lesseq(X1,X7)
=> ( $lesseq(0,X4)
=> $lesseq($product(X1,X4),$product(X7,X4)) ) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',compatOrderMult) ).
tff(f1190,plain,
( ~ spl11_74
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f1177,f176,f1187]) ).
tff(f1187,plain,
( spl11_74
<=> ( 1 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_74])]) ).
tff(f176,plain,
( spl11_3
<=> $less(3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
tff(f1177,plain,
( ( 1 != sK0 )
| ~ spl11_3 ),
inference(evaluation,[],[f1175]) ).
tff(f1175,plain,
( ( 1 != sK0 )
| ( 0 = 3 )
| $less(3,0)
| ~ spl11_3 ),
inference(constrained_resolution,[],[f475,f178]) ).
tff(f178,plain,
( $less(3,sK0)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f176]) ).
tff(f475,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ( 0 = X0 )
| $less(X0,0) ),
inference(superposition,[],[f137,f122]) ).
tff(f122,plain,
! [X0: $int] : ( div1(X0,1) = X0 ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: $int] : ( div1(X0,1) = X0 ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X1: $int] : ( div1(X1,1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',div_1) ).
tff(f137,plain,
! [X0: $int,X1: $int] :
( ( 0 = div1(X0,X1) )
| ~ $less(X0,X1)
| $less(X0,0) ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0: $int,X1: $int] :
( ( 0 = div1(X0,X1) )
| ~ $less(X0,X1)
| $less(X0,0) ),
inference(flattening,[],[f86]) ).
tff(f86,plain,
! [X0: $int,X1: $int] :
( ( 0 = div1(X0,X1) )
| ~ $less(X0,X1)
| $less(X0,0) ),
inference(ennf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0: $int,X1: $int] :
( ( $less(X0,X1)
& ~ $less(X0,0) )
=> ( 0 = div1(X0,X1) ) ),
inference(rectify,[],[f39]) ).
tff(f39,plain,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& ~ $less(X1,0) )
=> ( 0 = div1(X1,X7) ) ),
inference(theory_normalization,[],[f22]) ).
tff(f22,axiom,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& $lesseq(0,X1) )
=> ( 0 = div1(X1,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',div_inf) ).
tff(f1122,plain,
( ~ spl11_73
| spl11_37
| spl11_65 ),
inference(avatar_split_clause,[],[f1089,f1002,f694,f1119]) ).
tff(f1119,plain,
( spl11_73
<=> $less(sF9,$product(sK1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_73])]) ).
tff(f694,plain,
( spl11_37
<=> $less(sF9,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_37])]) ).
tff(f1002,plain,
( spl11_65
<=> $less(abs1(sF9),$product(sK1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_65])]) ).
tff(f1089,plain,
( ~ $less(sF9,$product(sK1,2))
| spl11_37
| spl11_65 ),
inference(global_subsumption,[],[f695,f1085]) ).
tff(f1085,plain,
( ~ $less(sF9,$product(sK1,2))
| $less(sF9,0)
| spl11_65 ),
inference(superposition,[],[f1004,f123]) ).
tff(f1004,plain,
( ~ $less(abs1(sF9),$product(sK1,2))
| spl11_65 ),
inference(avatar_component_clause,[],[f1002]) ).
tff(f695,plain,
( ~ $less(sF9,0)
| spl11_37 ),
inference(avatar_component_clause,[],[f694]) ).
tff(f1062,plain,
( spl11_72
| ~ spl11_22
| spl11_45 ),
inference(avatar_split_clause,[],[f755,f748,f324,f1059]) ).
tff(f1059,plain,
( spl11_72
<=> ( sK0 = $sum($product(sK2,sF8),mod1(sK0,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_72])]) ).
tff(f324,plain,
( spl11_22
<=> ( div1(sK0,sK2) = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
tff(f748,plain,
( spl11_45
<=> ( 0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_45])]) ).
tff(f755,plain,
( ( sK0 = $sum($product(sK2,sF8),mod1(sK0,sK2)) )
| ~ spl11_22
| spl11_45 ),
inference(subsumption_resolution,[],[f579,f750]) ).
tff(f750,plain,
( ( 0 != sK2 )
| spl11_45 ),
inference(avatar_component_clause,[],[f748]) ).
tff(f579,plain,
( ( sK0 = $sum($product(sK2,sF8),mod1(sK0,sK2)) )
| ( 0 = sK2 )
| ~ spl11_22 ),
inference(superposition,[],[f129,f326]) ).
tff(f326,plain,
( ( div1(sK0,sK2) = sF8 )
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f324]) ).
tff(f129,plain,
! [X0: $int,X1: $int] :
( ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 )
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: $int,X1: $int] :
( ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 )
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ( $sum($product(X7,div1(X1,X7)),mod1(X1,X7)) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',div_mod) ).
tff(f1057,plain,
( ~ spl11_71
| spl11_49 ),
inference(avatar_split_clause,[],[f815,f785,f1054]) ).
tff(f1054,plain,
( spl11_71
<=> $less(sK0,abs1($product(sF8,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_71])]) ).
tff(f785,plain,
( spl11_49
<=> $less(abs1(sK0),abs1($product(sF8,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_49])]) ).
tff(f815,plain,
( ~ $less(sK0,abs1($product(sF8,sK2)))
| spl11_49 ),
inference(global_subsumption,[],[f107,f808]) ).
tff(f808,plain,
( ~ $less(sK0,abs1($product(sF8,sK2)))
| $less(sK0,0)
| spl11_49 ),
inference(superposition,[],[f787,f123]) ).
tff(f787,plain,
( ~ $less(abs1(sK0),abs1($product(sF8,sK2)))
| spl11_49 ),
inference(avatar_component_clause,[],[f785]) ).
tff(f1052,plain,
( spl11_70
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f595,f243,f1049]) ).
tff(f1049,plain,
( spl11_70
<=> ( sF9 = $sum($product(2,sK1),mod1(sF9,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_70])]) ).
tff(f243,plain,
( spl11_13
<=> ( sK1 = div1(sF9,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
tff(f595,plain,
( ( sF9 = $sum($product(2,sK1),mod1(sF9,2)) )
| ~ spl11_13 ),
inference(evaluation,[],[f576]) ).
tff(f576,plain,
( ( sF9 = $sum($product(2,sK1),mod1(sF9,2)) )
| ( 0 = 2 )
| ~ spl11_13 ),
inference(superposition,[],[f129,f245]) ).
tff(f245,plain,
( ( sK1 = div1(sF9,2) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f1045,plain,
( ~ spl11_69
| spl11_49 ),
inference(avatar_split_clause,[],[f805,f785,f1042]) ).
tff(f805,plain,
( ~ $less(abs1(sK0),$product(sF8,sK2))
| spl11_49 ),
inference(resolution,[],[f787,f143]) ).
tff(f143,plain,
! [X0: $int,X1: $int] :
( $less(X1,abs1(X0))
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f106]) ).
tff(f106,plain,
! [X0: $int,X1: $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,[],[f105]) ).
tff(f105,plain,
! [X0: $int,X1: $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,[],[f66]) ).
tff(f66,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,abs1(X0))
<=> ( ~ $less(X1,X0)
& ~ $less(X0,$uminus(X1)) ) ),
inference(rectify,[],[f43]) ).
tff(f43,plain,
! [X1: $int,X7: $int] :
( ~ $less(X7,abs1(X1))
<=> ( ~ $less(X7,X1)
& ~ $less(X1,$uminus(X7)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X1: $int,X7: $int] :
( $lesseq(abs1(X1),X7)
<=> ( $lesseq(X1,X7)
& $lesseq($uminus(X7),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',abs_le) ).
tff(f1036,plain,
( ~ spl11_68
| spl11_37
| spl11_48 ),
inference(avatar_split_clause,[],[f799,f779,f694,f1033]) ).
tff(f1033,plain,
( spl11_68
<=> $less(sF9,abs1($product(sK1,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_68])]) ).
tff(f779,plain,
( spl11_48
<=> $less(abs1(sF9),abs1($product(sK1,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_48])]) ).
tff(f799,plain,
( ~ $less(sF9,abs1($product(sK1,2)))
| spl11_37
| spl11_48 ),
inference(global_subsumption,[],[f695,f792]) ).
tff(f792,plain,
( ~ $less(sF9,abs1($product(sK1,2)))
| $less(sF9,0)
| spl11_48 ),
inference(superposition,[],[f781,f123]) ).
tff(f781,plain,
( ~ $less(abs1(sF9),abs1($product(sK1,2)))
| spl11_48 ),
inference(avatar_component_clause,[],[f779]) ).
tff(f1024,plain,
( spl11_66
| ~ spl11_67
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f254,f243,f1021,f1017]) ).
tff(f1017,plain,
( spl11_66
<=> ( sK1 = div1(sK1,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_66])]) ).
tff(f1021,plain,
( spl11_67
<=> ( sK1 = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_67])]) ).
tff(f254,plain,
( ( sK1 != sF9 )
| ( sK1 = div1(sK1,2) )
| ~ spl11_13 ),
inference(forward_demodulation,[],[f252,f245]) ).
tff(f252,plain,
( ( sK1 = div1(sK1,2) )
| ( sF9 != div1(sF9,2) )
| ~ spl11_13 ),
inference(constrained_superposition,[],[f245,f245]) ).
tff(f1005,plain,
( ~ spl11_65
| spl11_48 ),
inference(avatar_split_clause,[],[f789,f779,f1002]) ).
tff(f789,plain,
( ~ $less(abs1(sF9),$product(sK1,2))
| spl11_48 ),
inference(resolution,[],[f781,f143]) ).
tff(f946,plain,
( spl11_64
| ~ spl11_17
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f895,f343,f289,f943]) ).
tff(f943,plain,
( spl11_64
<=> ( sF3 = $sum(sK0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_64])]) ).
tff(f289,plain,
( spl11_17
<=> ( $sum(sK2,1) = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
tff(f343,plain,
( spl11_24
<=> ( sK0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
tff(f895,plain,
( ( sF3 = $sum(sK0,1) )
| ~ spl11_17
| ~ spl11_24 ),
inference(backward_demodulation,[],[f291,f344]) ).
tff(f344,plain,
( ( sK0 = sK2 )
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f343]) ).
tff(f291,plain,
( ( $sum(sK2,1) = sF3 )
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f289]) ).
tff(f940,plain,
( ~ spl11_63
| spl11_6
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f894,f343,f191,f937]) ).
tff(f937,plain,
( spl11_63
<=> $less(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_63])]) ).
tff(f191,plain,
( spl11_6
<=> $less(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
tff(f894,plain,
( ~ $less(sK1,sK0)
| spl11_6
| ~ spl11_24 ),
inference(backward_demodulation,[],[f193,f344]) ).
tff(f193,plain,
( ~ $less(sK1,sK2)
| spl11_6 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f892,plain,
( ~ spl11_61
| spl11_62
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f482,f324,f889,f885]) ).
tff(f885,plain,
( spl11_61
<=> $less(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_61])]) ).
tff(f889,plain,
( spl11_62
<=> ( 0 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_62])]) ).
tff(f482,plain,
( ( 0 = sF8 )
| ~ $less(sK0,sK2)
| ~ spl11_22 ),
inference(global_subsumption,[],[f107,f476]) ).
tff(f476,plain,
( ( 0 = sF8 )
| ~ $less(sK0,sK2)
| $less(sK0,0)
| ~ spl11_22 ),
inference(superposition,[],[f137,f326]) ).
tff(f871,plain,
( spl11_59
| ~ spl11_60
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f460,f324,f868,f864]) ).
tff(f864,plain,
( spl11_59
<=> $less(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_59])]) ).
tff(f868,plain,
( spl11_60
<=> $less(0,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_60])]) ).
tff(f460,plain,
( ~ $less(0,sF8)
| $less(0,sK0)
| ~ spl11_22 ),
inference(global_subsumption,[],[f111,f456]) ).
tff(f456,plain,
( ~ $less(0,sF8)
| ~ $less(0,sK2)
| $less(0,sK0)
| ~ spl11_22 ),
inference(superposition,[],[f135,f326]) ).
tff(f135,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div1(X0,X1))
| ~ $less(0,X1)
| $less(0,X0) ),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div1(X0,X1))
| ~ $less(0,X1)
| $less(0,X0) ),
inference(flattening,[],[f82]) ).
tff(f82,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div1(X0,X1))
| ~ $less(0,X1)
| $less(0,X0) ),
inference(ennf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X1)
& ~ $less(0,X0) )
=> ~ $less(0,div1(X0,X1)) ),
inference(rectify,[],[f37]) ).
tff(f37,plain,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& ~ $less(0,X1) )
=> ~ $less(0,div1(X1,X7)) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,axiom,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& $lesseq(X1,0) )
=> $lesseq(div1(X1,X7),0) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',div_sign_neg) ).
tff(f111,plain,
$less(0,sK2),
inference(cnf_transformation,[],[f104]) ).
tff(f860,plain,
( ~ spl11_57
| spl11_58
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f363,f324,f857,f853]) ).
tff(f853,plain,
( spl11_57
<=> ( 1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_57])]) ).
tff(f857,plain,
( spl11_58
<=> ( sK0 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_58])]) ).
tff(f363,plain,
( ( sK0 = sF8 )
| ( 1 != sK2 )
| ~ spl11_22 ),
inference(constrained_superposition,[],[f326,f122]) ).
tff(f849,plain,
( ~ spl11_55
| spl11_56
| ~ spl11_19
| ~ spl11_21 ),
inference(avatar_split_clause,[],[f360,f319,f304,f846,f842]) ).
tff(f842,plain,
( spl11_55
<=> ( sK2 = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_55])]) ).
tff(f846,plain,
( spl11_56
<=> ( sF5 = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_56])]) ).
tff(f304,plain,
( spl11_19
<=> ( $product(sK2,sK2) = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
tff(f319,plain,
( spl11_21
<=> ( $product(sF6,sF6) = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
tff(f360,plain,
( ( sF5 = sF7 )
| ( sK2 != sF6 )
| ~ spl11_19
| ~ spl11_21 ),
inference(duplicate_literal_removal,[],[f353]) ).
tff(f353,plain,
( ( sF5 = sF7 )
| ( sK2 != sF6 )
| ( sK2 != sF6 )
| ~ spl11_19
| ~ spl11_21 ),
inference(constrained_superposition,[],[f321,f306]) ).
tff(f306,plain,
( ( $product(sK2,sK2) = sF5 )
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f304]) ).
tff(f321,plain,
( ( $product(sF6,sF6) = sF7 )
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f319]) ).
tff(f837,plain,
( ~ spl11_53
| spl11_54
| ~ spl11_17
| ~ spl11_20 ),
inference(avatar_split_clause,[],[f351,f309,f289,f834,f830]) ).
tff(f830,plain,
( spl11_53
<=> ( sK1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_53])]) ).
tff(f834,plain,
( spl11_54
<=> ( sF3 = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_54])]) ).
tff(f309,plain,
( spl11_20
<=> ( $sum(sK1,1) = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
tff(f351,plain,
( ( sF3 = sF6 )
| ( sK1 != sK2 )
| ~ spl11_17
| ~ spl11_20 ),
inference(constrained_superposition,[],[f311,f291]) ).
tff(f311,plain,
( ( $sum(sK1,1) = sF6 )
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f309]) ).
tff(f824,plain,
( ~ spl11_51
| spl11_52
| ~ spl11_18
| ~ spl11_19 ),
inference(avatar_split_clause,[],[f341,f304,f294,f821,f817]) ).
tff(f817,plain,
( spl11_51
<=> ( sK2 = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_51])]) ).
tff(f821,plain,
( spl11_52
<=> ( sF4 = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_52])]) ).
tff(f341,plain,
( ( sF4 = sF5 )
| ( sK2 != sF3 )
| ~ spl11_18
| ~ spl11_19 ),
inference(duplicate_literal_removal,[],[f338]) ).
tff(f338,plain,
( ( sF4 = sF5 )
| ( sK2 != sF3 )
| ( sK2 != sF3 )
| ~ spl11_18
| ~ spl11_19 ),
inference(constrained_superposition,[],[f306,f296]) ).
tff(f804,plain,
( ~ spl11_50
| spl11_33
| ~ spl11_35 ),
inference(avatar_split_clause,[],[f686,f678,f565,f801]) ).
tff(f801,plain,
( spl11_50
<=> ( sK1 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_50])]) ).
tff(f565,plain,
( spl11_33
<=> $less(sK0,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_33])]) ).
tff(f678,plain,
( spl11_35
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_35])]) ).
tff(f686,plain,
( ( sK1 != sF8 )
| spl11_33
| ~ spl11_35 ),
inference(constrained_resolution,[],[f680,f567]) ).
tff(f567,plain,
( ~ $less(sK0,sF8)
| spl11_33 ),
inference(avatar_component_clause,[],[f565]) ).
tff(f680,plain,
( $less(sK0,sK1)
| ~ spl11_35 ),
inference(avatar_component_clause,[],[f678]) ).
tff(f788,plain,
( ~ spl11_49
| ~ spl11_22
| spl11_45 ),
inference(avatar_split_clause,[],[f756,f748,f324,f785]) ).
tff(f756,plain,
( ~ $less(abs1(sK0),abs1($product(sF8,sK2)))
| ~ spl11_22
| spl11_45 ),
inference(subsumption_resolution,[],[f555,f750]) ).
tff(f555,plain,
( ~ $less(abs1(sK0),abs1($product(sF8,sK2)))
| ( 0 = sK2 )
| ~ spl11_22 ),
inference(superposition,[],[f128,f326]) ).
tff(f128,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1)))
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f75]) ).
tff(f75,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1)))
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1))) ),
inference(rectify,[],[f35]) ).
tff(f35,plain,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ~ $less(abs1(X1),abs1($product(div1(X1,X7),X7))) ),
inference(theory_normalization,[],[f19]) ).
tff(f19,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> $lesseq(abs1($product(div1(X1,X7),X7)),abs1(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',rounds_toward_zero) ).
tff(f782,plain,
( ~ spl11_48
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f563,f243,f779]) ).
tff(f563,plain,
( ~ $less(abs1(sF9),abs1($product(sK1,2)))
| ~ spl11_13 ),
inference(evaluation,[],[f552]) ).
tff(f552,plain,
( ~ $less(abs1(sF9),abs1($product(sK1,2)))
| ( 0 = 2 )
| ~ spl11_13 ),
inference(superposition,[],[f128,f245]) ).
tff(f772,plain,
( ~ spl11_47
| ~ spl11_7
| spl11_33 ),
inference(avatar_split_clause,[],[f651,f565,f196,f769]) ).
tff(f769,plain,
( spl11_47
<=> ( sF7 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_47])]) ).
tff(f196,plain,
( spl11_7
<=> $less(sK0,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
tff(f651,plain,
( ( sF7 != sF8 )
| ~ spl11_7
| spl11_33 ),
inference(constrained_resolution,[],[f567,f198]) ).
tff(f198,plain,
( $less(sK0,sF7)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f196]) ).
tff(f754,plain,
( ~ spl11_45
| spl11_46
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f259,f186,f752,f748]) ).
tff(f752,plain,
( spl11_46
<=> ! [X1: $int] : ( 0 != abs1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_46])]) ).
tff(f186,plain,
( spl11_5
<=> $less(0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
tff(f259,plain,
( ! [X1: $int] :
( ( 0 != abs1(X1) )
| ( 0 != sK2 ) )
| ~ spl11_5 ),
inference(constrained_resolution,[],[f119,f188]) ).
tff(f188,plain,
( $less(0,sK2)
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f186]) ).
tff(f119,plain,
! [X0: $int] : ~ $less(abs1(X0),0),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: $int] : ~ $less(abs1(X0),0),
inference(rectify,[],[f33]) ).
tff(f33,plain,
! [X1: $int] : ~ $less(abs1(X1),0),
inference(theory_normalization,[],[f11]) ).
tff(f11,axiom,
! [X1: $int] : $lesseq(0,abs1(X1)),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',abs_pos) ).
tff(f738,plain,
( ~ spl11_44
| ~ spl11_8
| spl11_33 ),
inference(avatar_split_clause,[],[f650,f565,f201,f735]) ).
tff(f735,plain,
( spl11_44
<=> ( sF4 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_44])]) ).
tff(f201,plain,
( spl11_8
<=> $less(sK0,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
tff(f650,plain,
( ( sF4 != sF8 )
| ~ spl11_8
| spl11_33 ),
inference(constrained_resolution,[],[f567,f203]) ).
tff(f203,plain,
( $less(sK0,sF4)
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f733,plain,
spl11_43,
inference(avatar_split_clause,[],[f423,f730]) ).
tff(f730,plain,
( spl11_43
<=> $less($uminus(abs1(1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_43])]) ).
tff(f423,plain,
$less($uminus(abs1(1)),0),
inference(evaluation,[],[f422]) ).
tff(f422,plain,
( $less($uminus(abs1(1)),0)
| ( 0 = 1 ) ),
inference(superposition,[],[f130,f121]) ).
tff(f121,plain,
! [X0: $int] : ( 0 = mod1(X0,1) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: $int] : ( 0 = mod1(X0,1) ),
inference(rectify,[],[f21]) ).
tff(f21,axiom,
! [X1: $int] : ( 0 = mod1(X1,1) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',mod_1) ).
tff(f130,plain,
! [X0: $int,X1: $int] :
( $less($uminus(abs1(X1)),mod1(X0,X1))
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
! [X0: $int,X1: $int] :
( ( $less(mod1(X0,X1),abs1(X1))
& $less($uminus(abs1(X1)),mod1(X0,X1)) )
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( $less(mod1(X0,X1),abs1(X1))
& $less($uminus(abs1(X1)),mod1(X0,X1)) ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ( $less(mod1(X1,X7),abs1(X7))
& $less($uminus(abs1(X7)),mod1(X1,X7)) ) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',mod_bound) ).
tff(f726,plain,
( ~ spl11_41
| ~ spl11_42
| ~ spl11_13
| ~ spl11_22
| spl11_33
| ~ spl11_35 ),
inference(avatar_split_clause,[],[f691,f678,f565,f324,f243,f723,f719]) ).
tff(f719,plain,
( spl11_41
<=> ( 2 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_41])]) ).
tff(f723,plain,
( spl11_42
<=> ( sK0 = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_42])]) ).
tff(f691,plain,
( ( sK0 != sF9 )
| ( 2 != sK2 )
| ~ spl11_13
| ~ spl11_22
| spl11_33
| ~ spl11_35 ),
inference(subsumption_resolution,[],[f362,f686]) ).
tff(f362,plain,
( ( sK1 = sF8 )
| ( sK0 != sF9 )
| ( 2 != sK2 )
| ~ spl11_13
| ~ spl11_22 ),
inference(constrained_superposition,[],[f326,f245]) ).
tff(f715,plain,
( ~ spl11_40
| ~ spl11_13
| spl11_37 ),
inference(avatar_split_clause,[],[f703,f694,f243,f712]) ).
tff(f712,plain,
( spl11_40
<=> $less(sK1,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_40])]) ).
tff(f703,plain,
( ~ $less(sK1,0)
| ~ spl11_13
| spl11_37 ),
inference(subsumption_resolution,[],[f504,f695]) ).
tff(f504,plain,
( ~ $less(sK1,0)
| $less(sF9,0)
| ~ spl11_13 ),
inference(evaluation,[],[f499]) ).
tff(f499,plain,
( ~ $less(sK1,0)
| ~ $less(0,2)
| $less(sF9,0)
| ~ spl11_13 ),
inference(superposition,[],[f139,f245]) ).
tff(f139,plain,
! [X0: $int,X1: $int] :
( ~ $less(div1(X0,X1),0)
| ~ $less(0,X1)
| $less(X0,0) ),
inference(cnf_transformation,[],[f91]) ).
tff(f91,plain,
! [X0: $int,X1: $int] :
( ~ $less(div1(X0,X1),0)
| ~ $less(0,X1)
| $less(X0,0) ),
inference(flattening,[],[f90]) ).
tff(f90,plain,
! [X0: $int,X1: $int] :
( ~ $less(div1(X0,X1),0)
| ~ $less(0,X1)
| $less(X0,0) ),
inference(ennf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X1)
& ~ $less(X0,0) )
=> ~ $less(div1(X0,X1),0) ),
inference(rectify,[],[f41]) ).
tff(f41,plain,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& ~ $less(X1,0) )
=> ~ $less(div1(X1,X7),0) ),
inference(theory_normalization,[],[f15]) ).
tff(f15,axiom,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& $lesseq(0,X1) )
=> $lesseq(0,div1(X1,X7)) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',div_sign_pos) ).
tff(f710,plain,
( ~ spl11_39
| ~ spl11_13
| spl11_37 ),
inference(avatar_split_clause,[],[f702,f694,f243,f707]) ).
tff(f707,plain,
( spl11_39
<=> $less(sF9,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_39])]) ).
tff(f702,plain,
( ~ $less(sF9,sK1)
| ~ spl11_13
| spl11_37 ),
inference(subsumption_resolution,[],[f526,f695]) ).
tff(f526,plain,
( ~ $less(sF9,sK1)
| $less(sF9,0)
| ~ spl11_13 ),
inference(evaluation,[],[f519]) ).
tff(f519,plain,
( ~ $less(sF9,sK1)
| ~ $less(0,2)
| $less(sF9,0)
| ~ spl11_13 ),
inference(superposition,[],[f141,f245]) ).
tff(f141,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,div1(X0,X1))
| ~ $less(0,X1)
| $less(X0,0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,div1(X0,X1))
& ~ $less(div1(X0,X1),0) )
| ~ $less(0,X1)
| $less(X0,0) ),
inference(flattening,[],[f92]) ).
tff(f92,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,div1(X0,X1))
& ~ $less(div1(X0,X1),0) )
| ~ $less(0,X1)
| $less(X0,0) ),
inference(ennf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X1)
& ~ $less(X0,0) )
=> ( ~ $less(X0,div1(X0,X1))
& ~ $less(div1(X0,X1),0) ) ),
inference(rectify,[],[f42]) ).
tff(f42,plain,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& ~ $less(X1,0) )
=> ( ~ $less(X1,div1(X1,X7))
& ~ $less(div1(X1,X7),0) ) ),
inference(theory_normalization,[],[f13]) ).
tff(f13,axiom,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& $lesseq(0,X1) )
=> ( $lesseq(div1(X1,X7),X1)
& $lesseq(0,div1(X1,X7)) ) ),
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',div_bound) ).
tff(f701,plain,
( spl11_37
| ~ spl11_38
| spl11_12
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f481,f243,f237,f698,f694]) ).
tff(f698,plain,
( spl11_38
<=> $less(sF9,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_38])]) ).
tff(f237,plain,
( spl11_12
<=> ( 0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
tff(f481,plain,
( ~ $less(sF9,2)
| $less(sF9,0)
| spl11_12
| ~ spl11_13 ),
inference(global_subsumption,[],[f239,f474]) ).
tff(f474,plain,
( ( 0 = sK1 )
| ~ $less(sF9,2)
| $less(sF9,0)
| ~ spl11_13 ),
inference(superposition,[],[f137,f245]) ).
tff(f239,plain,
( ( 0 != sK1 )
| spl11_12 ),
inference(avatar_component_clause,[],[f237]) ).
tff(f685,plain,
( spl11_35
| ~ spl11_36
| ~ spl11_9
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f229,f211,f206,f682,f678]) ).
tff(f682,plain,
( spl11_36
<=> ( sK1 = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_36])]) ).
tff(f206,plain,
( spl11_9
<=> ( sK1 = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
tff(f211,plain,
( spl11_10
<=> $less(sK0,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
tff(f229,plain,
( ( sK1 != sF5 )
| $less(sK0,sK1)
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f228,f208]) ).
tff(f208,plain,
( ( sK1 = sF10 )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f206]) ).
tff(f228,plain,
( $less(sK0,sK1)
| ( sF5 != sF10 )
| ~ spl11_9
| ~ spl11_10 ),
inference(constrained_superposition,[],[f213,f208]) ).
tff(f213,plain,
( $less(sK0,sF5)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f211]) ).
tff(f676,plain,
( ~ spl11_34
| ~ spl11_10
| spl11_33 ),
inference(avatar_split_clause,[],[f649,f565,f211,f673]) ).
tff(f673,plain,
( spl11_34
<=> ( sF5 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_34])]) ).
tff(f649,plain,
( ( sF5 != sF8 )
| ~ spl11_10
| spl11_33 ),
inference(constrained_resolution,[],[f567,f213]) ).
tff(f568,plain,
( ~ spl11_33
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f528,f324,f565]) ).
tff(f528,plain,
( ~ $less(sK0,sF8)
| ~ spl11_22 ),
inference(global_subsumption,[],[f111,f107,f522]) ).
tff(f522,plain,
( ~ $less(sK0,sF8)
| ~ $less(0,sK2)
| $less(sK0,0)
| ~ spl11_22 ),
inference(superposition,[],[f141,f326]) ).
tff(f533,plain,
( ~ spl11_32
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f506,f324,f530]) ).
tff(f530,plain,
( spl11_32
<=> $less(sF8,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_32])]) ).
tff(f506,plain,
( ~ $less(sF8,0)
| ~ spl11_22 ),
inference(global_subsumption,[],[f111,f107,f502]) ).
tff(f502,plain,
( ~ $less(sF8,0)
| ~ $less(0,sK2)
| $less(sK0,0)
| ~ spl11_22 ),
inference(superposition,[],[f139,f326]) ).
tff(f471,plain,
( spl11_31
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f459,f243,f468]) ).
tff(f468,plain,
( spl11_31
<=> $less(0,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_31])]) ).
tff(f459,plain,
( $less(0,sF9)
| ~ spl11_13 ),
inference(global_subsumption,[],[f110,f457]) ).
tff(f457,plain,
( ~ $less(0,sK1)
| $less(0,sF9)
| ~ spl11_13 ),
inference(evaluation,[],[f454]) ).
tff(f454,plain,
( ~ $less(0,sK1)
| ~ $less(0,2)
| $less(0,sF9)
| ~ spl11_13 ),
inference(superposition,[],[f135,f245]) ).
tff(f110,plain,
$less(0,sK1),
inference(cnf_transformation,[],[f104]) ).
tff(f437,plain,
spl11_30,
inference(avatar_split_clause,[],[f395,f434]) ).
tff(f434,plain,
( spl11_30
<=> ( 1 = abs1(-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_30])]) ).
tff(f395,plain,
1 = abs1(-1),
inference(evaluation,[],[f394]) ).
tff(f394,plain,
abs1(-1) = $uminus(-1),
inference(interpreted_simplification,[],[f393]) ).
tff(f393,plain,
( ( abs1(-1) = $uminus(-1) )
| ~ $less(-1,0) ),
inference(instantiation,[],[f124]) ).
tff(f124,plain,
! [X0: $int] :
( ( abs1(X0) = $uminus(X0) )
| ~ $less(X0,0) ),
inference(cnf_transformation,[],[f74]) ).
tff(f429,plain,
spl11_29,
inference(avatar_split_clause,[],[f387,f426]) ).
tff(f426,plain,
( spl11_29
<=> $less(0,abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_29])]) ).
tff(f387,plain,
$less(0,abs1(1)),
inference(interpreted_simplification,[],[f386]) ).
tff(f386,plain,
( $less(0,abs1(1))
| ~ $less(0,1) ),
inference(instantiation,[],[f143]) ).
tff(f418,plain,
spl11_28,
inference(avatar_split_clause,[],[f384,f415]) ).
tff(f415,plain,
( spl11_28
<=> ( 0 = abs1(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_28])]) ).
tff(f384,plain,
0 = abs1(0),
inference(interpreted_simplification,[],[f383]) ).
tff(f383,plain,
( ( 0 = abs1(0) )
| $less(0,0) ),
inference(instantiation,[],[f123]) ).
tff(f382,plain,
( ~ spl11_26
| ~ spl11_27
| spl11_6
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f222,f196,f191,f379,f375]) ).
tff(f375,plain,
( spl11_26
<=> ( sK2 = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
tff(f379,plain,
( spl11_27
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
tff(f222,plain,
( ( sK0 != sK1 )
| ( sK2 != sF7 )
| spl11_6
| ~ spl11_7 ),
inference(constrained_resolution,[],[f198,f193]) ).
tff(f350,plain,
( ~ spl11_24
| ~ spl11_25
| ~ spl11_3
| spl11_6 ),
inference(avatar_split_clause,[],[f221,f191,f176,f347,f343]) ).
tff(f347,plain,
( spl11_25
<=> ( 3 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
tff(f221,plain,
( ( 3 != sK1 )
| ( sK0 != sK2 )
| ~ spl11_3
| spl11_6 ),
inference(constrained_resolution,[],[f193,f178]) ).
tff(f337,plain,
spl11_23,
inference(avatar_split_clause,[],[f160,f334]) ).
tff(f334,plain,
( spl11_23
<=> ( $sum(sF8,sK2) = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
tff(f160,plain,
$sum(sF8,sK2) = sF9,
introduced(function_definition,[]) ).
tff(f327,plain,
spl11_22,
inference(avatar_split_clause,[],[f159,f324]) ).
tff(f159,plain,
div1(sK0,sK2) = sF8,
introduced(function_definition,[]) ).
tff(f322,plain,
spl11_21,
inference(avatar_split_clause,[],[f156,f319]) ).
tff(f156,plain,
$product(sF6,sF6) = sF7,
introduced(function_definition,[]) ).
tff(f312,plain,
spl11_20,
inference(avatar_split_clause,[],[f155,f309]) ).
tff(f155,plain,
$sum(sK1,1) = sF6,
introduced(function_definition,[]) ).
tff(f307,plain,
spl11_19,
inference(avatar_split_clause,[],[f153,f304]) ).
tff(f153,plain,
$product(sK2,sK2) = sF5,
introduced(function_definition,[]) ).
tff(f297,plain,
spl11_18,
inference(avatar_split_clause,[],[f152,f294]) ).
tff(f152,plain,
$product(sF3,sF3) = sF4,
introduced(function_definition,[]) ).
tff(f292,plain,
spl11_17,
inference(avatar_split_clause,[],[f151,f289]) ).
tff(f151,plain,
$sum(sK2,1) = sF3,
introduced(function_definition,[]) ).
tff(f277,plain,
( ~ spl11_16
| spl11_1
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f227,f211,f166,f274]) ).
tff(f274,plain,
( spl11_16
<=> ( 0 = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
tff(f166,plain,
( spl11_1
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
tff(f227,plain,
( ( 0 != sF5 )
| spl11_1
| ~ spl11_10 ),
inference(constrained_resolution,[],[f213,f168]) ).
tff(f168,plain,
( ~ $less(sK0,0)
| spl11_1 ),
inference(avatar_component_clause,[],[f166]) ).
tff(f268,plain,
( ~ spl11_15
| spl11_1
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f225,f201,f166,f265]) ).
tff(f265,plain,
( spl11_15
<=> ( 0 = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
tff(f225,plain,
( ( 0 != sF4 )
| spl11_1
| ~ spl11_8 ),
inference(constrained_resolution,[],[f203,f168]) ).
tff(f251,plain,
( ~ spl11_14
| spl11_1
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f223,f196,f166,f248]) ).
tff(f248,plain,
( spl11_14
<=> ( 0 = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
tff(f223,plain,
( ( 0 != sF7 )
| spl11_1
| ~ spl11_7 ),
inference(constrained_resolution,[],[f198,f168]) ).
tff(f246,plain,
spl11_13,
inference(avatar_split_clause,[],[f164,f243]) ).
tff(f164,plain,
sK1 = div1(sF9,2),
inference(backward_demodulation,[],[f161,f162]) ).
tff(f162,plain,
sK1 = sF10,
inference(definition_folding,[],[f112,f161,f160,f159]) ).
tff(f112,plain,
sK1 = div1($sum(div1(sK0,sK2),sK2),2),
inference(cnf_transformation,[],[f104]) ).
tff(f161,plain,
div1(sF9,2) = sF10,
introduced(function_definition,[]) ).
tff(f240,plain,
( ~ spl11_12
| ~ spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f220,f191,f186,f237]) ).
tff(f220,plain,
( ( 0 != sK1 )
| ~ spl11_5
| spl11_6 ),
inference(constrained_resolution,[],[f193,f188]) ).
tff(f234,plain,
~ spl11_11,
inference(avatar_split_clause,[],[f117,f231]) ).
tff(f231,plain,
( spl11_11
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
tff(f117,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766',true_False) ).
tff(f214,plain,
spl11_10,
inference(avatar_split_clause,[],[f163,f211]) ).
tff(f163,plain,
$less(sK0,sF5),
inference(subsumption_resolution,[],[f154,f158]) ).
tff(f158,plain,
$less(sK0,sF4),
inference(definition_folding,[],[f113,f152,f151,f151]) ).
tff(f113,plain,
$less(sK0,$product($sum(sK2,1),$sum(sK2,1))),
inference(cnf_transformation,[],[f104]) ).
tff(f154,plain,
( ~ $less(sK0,sF4)
| $less(sK0,sF5) ),
inference(definition_folding,[],[f116,f153,f152,f151,f151]) ).
tff(f116,plain,
( ~ $less(sK0,$product($sum(sK2,1),$sum(sK2,1)))
| $less(sK0,$product(sK2,sK2)) ),
inference(cnf_transformation,[],[f104]) ).
tff(f209,plain,
spl11_9,
inference(avatar_split_clause,[],[f162,f206]) ).
tff(f204,plain,
spl11_8,
inference(avatar_split_clause,[],[f158,f201]) ).
tff(f199,plain,
spl11_7,
inference(avatar_split_clause,[],[f157,f196]) ).
tff(f157,plain,
$less(sK0,sF7),
inference(definition_folding,[],[f114,f156,f155,f155]) ).
tff(f114,plain,
$less(sK0,$product($sum(sK1,1),$sum(sK1,1))),
inference(cnf_transformation,[],[f104]) ).
tff(f194,plain,
~ spl11_6,
inference(avatar_split_clause,[],[f115,f191]) ).
tff(f115,plain,
~ $less(sK1,sK2),
inference(cnf_transformation,[],[f104]) ).
tff(f189,plain,
spl11_5,
inference(avatar_split_clause,[],[f111,f186]) ).
tff(f184,plain,
spl11_4,
inference(avatar_split_clause,[],[f110,f181]) ).
tff(f181,plain,
( spl11_4
<=> $less(0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
tff(f179,plain,
spl11_3,
inference(avatar_split_clause,[],[f109,f176]) ).
tff(f109,plain,
$less(3,sK0),
inference(cnf_transformation,[],[f104]) ).
tff(f174,plain,
~ spl11_2,
inference(avatar_split_clause,[],[f108,f171]) ).
tff(f171,plain,
( spl11_2
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
tff(f108,plain,
0 != sK0,
inference(cnf_transformation,[],[f104]) ).
tff(f169,plain,
~ spl11_1,
inference(avatar_split_clause,[],[f107,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW609_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 19:43:44 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TF0_THM_EQU_ARI problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766
% 0.15/0.36 % (29976)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (29977)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.21/0.42 % (29978)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.21/0.42 % (29980)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.21/0.42 % (29979)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.21/0.42 % (29981)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.21/0.42 % (29982)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.21/0.42 % (29983)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 4.31/0.98 % (29981)First to succeed.
% 4.31/0.99 % (29981)Refutation found. Thanks to Tanya!
% 4.31/0.99 % SZS status Theorem for Vampire---4
% 4.31/0.99 % SZS output start Proof for Vampire---4
% See solution above
% 4.31/0.99 % (29981)------------------------------
% 4.31/0.99 % (29981)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.31/0.99 % (29981)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.31/0.99 % (29981)Termination reason: Refutation
% 4.31/0.99
% 4.31/0.99 % (29981)Memory used [KB]: 6908
% 4.31/0.99 % (29981)Time elapsed: 0.571 s
% 4.31/0.99 % (29981)------------------------------
% 4.31/0.99 % (29981)------------------------------
% 4.31/0.99 % (29976)Success in time 0.611 s
% 4.31/0.99 % Vampire---4.8 exiting
% 4.31/0.99 29979 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.8gGh1Nul83/Vampire---4.8_29766
% 4.31/0.99 % (29979)------------------------------
% 4.31/0.99 % (29979)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.31/0.99 % (29979)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.31/0.99 % (29979)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 4.31/0.99
% 4.31/0.99 % (29979)Memory used [KB]: 8699
% 4.31/0.99 % (29979)Time elapsed: 0.565 s
% 4.31/0.99 % (29979)------------------------------
% 4.31/0.99 % (29979)------------------------------
%------------------------------------------------------------------------------