TSTP Solution File: SWW677_1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW677_1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 : Mon Jun 24 18:35:50 EDT 2024
% Result : Theorem 1.42s 0.58s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 119
% Syntax : Number of formulae : 512 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 2042 ( 289 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 2701 (1171 ~;1329 |; 69 &)
% ( 104 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number arithmetic : 2639 ( 605 atm;1030 fun; 728 num; 276 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 109 ( 102 usr; 103 prp; 0-3 aty)
% Number of functors : 26 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 285 ( 265 !; 20 ?; 285 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Array[Int,Int]': $tType ).
tff(func_def_0,type,
'select:(Array[Int,Int]*Int)>Int': ( 'Array[Int,Int]' * $int ) > $int ).
tff(func_def_1,type,
'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]': ( 'Array[Int,Int]' * $int * $int ) > 'Array[Int,Int]' ).
tff(func_def_2,type,
'const:(Int)>Array[Int,Int]': $int > 'Array[Int,Int]' ).
tff(func_def_3,type,
length: 'Array[Int,Int]' > $int ).
tff(func_def_4,type,
div2: $int > $int ).
tff(func_def_12,type,
sK0: ( 'Array[Int,Int]' * 'Array[Int,Int]' ) > $int ).
tff(func_def_13,type,
sK1: ( $int * 'Array[Int,Int]' * $int ) > $int ).
tff(func_def_14,type,
sK2: ( $int * 'Array[Int,Int]' * $int ) > $int ).
tff(func_def_15,type,
sK3: 'Array[Int,Int]' ).
tff(func_def_16,type,
sK4: $int ).
tff(func_def_17,type,
sK5: $int ).
tff(func_def_18,type,
sK6: $int ).
tff(func_def_19,type,
sF7: $int ).
tff(func_def_20,type,
sF8: $int ).
tff(func_def_21,type,
sF9: $int ).
tff(func_def_22,type,
sF10: $int ).
tff(func_def_23,type,
sF11: $int ).
tff(pred_def_1,type,
sorted: ( 'Array[Int,Int]' * $int * $int ) > $o ).
tff(f2952,plain,
$false,
inference(avatar_smt_refutation,[],[f100,f104,f108,f112,f117,f121,f125,f129,f134,f147,f161,f170,f174,f193,f229,f246,f250,f289,f314,f338,f348,f368,f403,f451,f454,f478,f482,f483,f484,f494,f495,f496,f509,f530,f593,f611,f671,f738,f817,f823,f875,f940,f950,f985,f1047,f1072,f1079,f1156,f1211,f1251,f1270,f1273,f1278,f1284,f1292,f1309,f1359,f1546,f1564,f1590,f1645,f1649,f1768,f1856,f1898,f1902,f1934,f1984,f1998,f2014,f2019,f2026,f2027,f2059,f2149,f2164,f2423,f2462,f2572,f2587,f2604,f2658,f2683,f2740,f2778,f2782,f2834,f2845,f2852,f2856,f2948]) ).
tff(f2948,plain,
( spl12_22
| ~ spl12_99 ),
inference(avatar_contradiction_clause,[],[f2947]) ).
tff(f2947,plain,
( $false
| spl12_22
| ~ spl12_99 ),
inference(subsumption_resolution,[],[f2924,f242]) ).
tff(f242,plain,
( ( 1 != sF11 )
| spl12_22 ),
inference(avatar_component_clause,[],[f241]) ).
tff(f241,plain,
( spl12_22
<=> ( 1 = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
tff(f2924,plain,
( ( 1 = sF11 )
| ~ spl12_99 ),
inference(evaluation,[],[f2884]) ).
tff(f2884,plain,
( ( sF11 = $uminus(-1) )
| ~ spl12_99 ),
inference(superposition,[],[f24,f2848]) ).
tff(f2848,plain,
( ( -1 = $uminus(sF11) )
| ~ spl12_99 ),
inference(avatar_component_clause,[],[f2847]) ).
tff(f2847,plain,
( spl12_99
<=> ( -1 = $uminus(sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_99])]) ).
tff(f24,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_156,[]) ).
tff(f2856,plain,
( spl12_101
| spl12_21
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f2145,f1854,f119,f110,f102,f238,f2854]) ).
tff(f2854,plain,
( spl12_101
<=> ! [X0: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,$uminus($sum(X0,-1)))),0)
| ( sF11 != $sum(X0,$uminus($sum(X0,-1))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_101])]) ).
tff(f238,plain,
( spl12_21
<=> ! [X0: $int] :
( ~ $less(X0,sF7)
| ( 0 != X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
tff(f102,plain,
( spl12_2
<=> $less(sK5,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
tff(f110,plain,
( spl12_4
<=> sorted(sK3,0,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
tff(f119,plain,
( spl12_6
<=> ( sF8 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
tff(f1854,plain,
( spl12_76
<=> ( 0 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_76])]) ).
tff(f2145,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,$uminus($sum(X0,-1)))),0)
| ( 0 != X1 )
| ( sF11 != $sum(X0,$uminus($sum(X0,-1))) ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_76 ),
inference(forward_demodulation,[],[f2144,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f2144,plain,
( ! [X0: $int,X1: $int] :
( ( sF11 != $sum($uminus($sum(X0,-1)),X0) )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,$uminus($sum(X0,-1)))),0)
| ~ $less(X1,sF7)
| ( 0 != X1 ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_76 ),
inference(forward_demodulation,[],[f2130,f14]) ).
tff(f2130,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($uminus($sum(X0,-1)),X0)),0)
| ( 0 != X1 )
| ( sF11 != $sum($uminus($sum(X0,-1)),X0) ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_76 ),
inference(superposition,[],[f1955,f198]) ).
tff(f198,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f18,f24]) ).
tff(f18,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_148,[]) ).
tff(f1955,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,$sum(X1,-1)) != X2 )
| ( $sum(X0,X1) != sF11 )
| ~ $less(X2,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,X1)),0) )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_76 ),
inference(backward_demodulation,[],[f639,f1855]) ).
tff(f1855,plain,
( ( 0 = sK6 )
| ~ spl12_76 ),
inference(avatar_component_clause,[],[f1854]) ).
tff(f639,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,$sum(X1,-1)) != X2 )
| ~ $less(X2,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,X1)),sK6)
| ( $sum(X0,X1) != sF11 ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f152,f15]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_144,[]) ).
tff(f152,plain,
( ! [X6: $int,X4: $int] :
( ( $sum(X4,-1) != X6 )
| ( sF11 != X4 )
| ~ $less(X6,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f151,f120]) ).
tff(f120,plain,
( ( sF8 = -1 )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f119]) ).
tff(f151,plain,
( ! [X6: $int,X4: $int] :
( ~ $less(X6,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6)
| ( $sum(X4,sF8) != X6 )
| ( sF11 != X4 ) )
| spl12_2
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f150,f103]) ).
tff(f103,plain,
( ~ $less(sK5,0)
| spl12_2 ),
inference(avatar_component_clause,[],[f102]) ).
tff(f150,plain,
( ! [X6: $int,X4: $int] :
( ~ $less(X6,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6)
| $less(sK5,0)
| ( sF11 != X4 )
| ( $sum(X4,sF8) != X6 ) )
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f93,f111]) ).
tff(f111,plain,
( sorted(sK3,0,sF9)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f110]) ).
tff(f93,plain,
! [X6: $int,X4: $int] :
( ~ sorted(sK3,0,sF9)
| $less(sK5,0)
| ~ $less(X6,sF7)
| ( sF11 != X4 )
| ( $sum(X4,sF8) != X6 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6) ),
inference(definition_folding,[],[f59,f75,f76,f77,f76,f75,f81,f80]) ).
tff(f80,plain,
$sum(sK5,sK4) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
tff(f81,plain,
div2(sF10) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
tff(f77,plain,
$sum(sF7,sF8) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
tff(f76,plain,
$uminus(1) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
tff(f75,plain,
length(sK3) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
tff(f59,plain,
! [X6: $int,X4: $int] :
( ( div2($sum(sK5,sK4)) != X4 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6)
| ~ sorted(sK3,0,$sum(length(sK3),$uminus(1)))
| $less(sK5,0)
| ( $sum(X4,$uminus(1)) != X6 )
| ~ $less(X6,length(sK3)) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
? [X0: 'Array[Int,Int]',X3: $int,X1: $int,X2: $int] :
( sorted(X0,0,$sum(length(X0),$uminus(1)))
& ~ $less(X1,0)
& ( ( ~ $less(X3,X1)
& ! [X4: $int] :
( ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X4) = X2 )
& $false )
| ( ( ( ~ $less('select:(Array[Int,Int]*Int)>Int'(X0,X4),X2)
& ! [X6: $int] :
( ~ $less(X6,length(X0))
| ( $sum(X4,$uminus(1)) != X6 )
| $less(X1,0)
| ~ sorted(X0,0,$sum(length(X0),$uminus(1))) ) )
| ( $less('select:(Array[Int,Int]*Int)>Int'(X0,X4),X2)
& ! [X5: $int] :
( ~ $less(X3,length(X0))
| ~ sorted(X0,0,$sum(length(X0),$uminus(1)))
| $less(X5,0)
| ( $sum(X4,1) != X5 ) ) ) )
& ( 'select:(Array[Int,Int]*Int)>Int'(X0,X4) != X2 ) )
| ( div2($sum(X1,X3)) != X4 ) ) )
| ( $false
& $less(X3,X1) ) )
& $less(X3,length(X0)) ),
inference(flattening,[],[f38]) ).
tff(f38,plain,
? [X0: 'Array[Int,Int]',X2: $int,X1: $int,X3: $int] :
( ( ( ~ $less(X3,X1)
& ! [X4: $int] :
( ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X4) = X2 )
& $false )
| ( ( ( ~ $less('select:(Array[Int,Int]*Int)>Int'(X0,X4),X2)
& ! [X6: $int] :
( ~ $less(X6,length(X0))
| ( $sum(X4,$uminus(1)) != X6 )
| $less(X1,0)
| ~ sorted(X0,0,$sum(length(X0),$uminus(1))) ) )
| ( $less('select:(Array[Int,Int]*Int)>Int'(X0,X4),X2)
& ! [X5: $int] :
( ~ $less(X3,length(X0))
| ~ sorted(X0,0,$sum(length(X0),$uminus(1)))
| $less(X5,0)
| ( $sum(X4,1) != X5 ) ) ) )
& ( 'select:(Array[Int,Int]*Int)>Int'(X0,X4) != X2 ) )
| ( div2($sum(X1,X3)) != X4 ) ) )
| ( $false
& $less(X3,X1) ) )
& $less(X3,length(X0))
& sorted(X0,0,$sum(length(X0),$uminus(1)))
& ~ $less(X1,0) ),
inference(ennf_transformation,[],[f33]) ).
tff(f33,plain,
~ ! [X0: 'Array[Int,Int]',X2: $int,X1: $int,X3: $int] :
( ( $less(X3,length(X0))
& sorted(X0,0,$sum(length(X0),$uminus(1)))
& ~ $less(X1,0) )
=> ( ( ~ $less(X3,X1)
=> ? [X4: $int] :
( ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X4) = X2 )
=> $true )
& ( div2($sum(X1,X3)) = X4 )
& ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X4) != X2 )
=> ( ( ~ $less('select:(Array[Int,Int]*Int)>Int'(X0,X4),X2)
=> ? [X6: $int] :
( $less(X6,length(X0))
& sorted(X0,0,$sum(length(X0),$uminus(1)))
& ~ $less(X1,0)
& ( $sum(X4,$uminus(1)) = X6 ) ) )
& ( $less('select:(Array[Int,Int]*Int)>Int'(X0,X4),X2)
=> ? [X5: $int] :
( $less(X3,length(X0))
& ( $sum(X4,1) = X5 )
& ~ $less(X5,0)
& sorted(X0,0,$sum(length(X0),$uminus(1))) ) ) ) ) ) )
& ( $less(X3,X1)
=> $true ) ) ),
inference(rectify,[],[f11]) ).
tff(f11,plain,
~ ! [X0: 'Array[Int,Int]',X6: $int,X2: $int,X7: $int] :
( ( sorted(X0,0,$sum(length(X0),$uminus(1)))
& $less(X7,length(X0))
& ~ $less(X6,0) )
=> ( ( $less(X7,X6)
=> $true )
& ( ~ $less(X7,X6)
=> ? [X8: $int] :
( ( div2($sum(X6,X7)) = X8 )
& ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X8) != X2 )
=> ( ( $less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X2)
=> ? [X9: $int] :
( ~ $less(X9,0)
& ( $sum(X8,1) = X9 )
& $less(X7,length(X0))
& sorted(X0,0,$sum(length(X0),$uminus(1))) ) )
& ( ~ $less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X2)
=> ? [X10: $int] :
( $less(X10,length(X0))
& ( $sum(X8,$uminus(1)) = X10 )
& sorted(X0,0,$sum(length(X0),$uminus(1)))
& ~ $less(X6,0) ) ) ) )
& ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X8) = X2 )
=> $true ) ) ) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f9,negated_conjecture,
~ ! [X0: 'Array[Int,Int]',X6: $int,X2: $int,X7: $int] :
( ( sorted(X0,0,$difference(length(X0),1))
& $less(X7,length(X0))
& $lesseq(0,X6) )
=> ( ( $greater(X6,X7)
=> $true )
& ( ~ $greater(X6,X7)
=> ? [X8: $int] :
( ( div2($sum(X6,X7)) = X8 )
& ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X8) != X2 )
=> ( ( $less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X2)
=> ? [X9: $int] :
( $lesseq(0,X9)
& ( $sum(X8,1) = X9 )
& $less(X7,length(X0))
& sorted(X0,0,$difference(length(X0),1)) ) )
& ( ~ $less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X2)
=> ? [X10: $int] :
( $less(X10,length(X0))
& ( $difference(X8,1) = X10 )
& sorted(X0,0,$difference(length(X0),1))
& $lesseq(0,X6) ) ) ) )
& ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X8) = X2 )
=> $true ) ) ) ) ),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
! [X0: 'Array[Int,Int]',X6: $int,X2: $int,X7: $int] :
( ( sorted(X0,0,$difference(length(X0),1))
& $less(X7,length(X0))
& $lesseq(0,X6) )
=> ( ( $greater(X6,X7)
=> $true )
& ( ~ $greater(X6,X7)
=> ? [X8: $int] :
( ( div2($sum(X6,X7)) = X8 )
& ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X8) != X2 )
=> ( ( $less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X2)
=> ? [X9: $int] :
( $lesseq(0,X9)
& ( $sum(X8,1) = X9 )
& $less(X7,length(X0))
& sorted(X0,0,$difference(length(X0),1)) ) )
& ( ~ $less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X2)
=> ? [X10: $int] :
( $less(X10,length(X0))
& ( $difference(X8,1) = X10 )
& sorted(X0,0,$difference(length(X0),1))
& $lesseq(0,X6) ) ) ) )
& ( ( 'select:(Array[Int,Int]*Int)>Int'(X0,X8) = X2 )
=> $true ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f2852,plain,
( spl12_99
| spl12_100
| spl12_97 ),
inference(avatar_split_clause,[],[f2835,f2832,f2850,f2847]) ).
tff(f2850,plain,
( spl12_100
<=> $less($uminus(sF11),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_100])]) ).
tff(f2832,plain,
( spl12_97
<=> $less(-1,$uminus(sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_97])]) ).
tff(f2835,plain,
( ( -1 = $uminus(sF11) )
| $less($uminus(sF11),-1)
| spl12_97 ),
inference(resolution,[],[f2833,f21]) ).
tff(f21,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_152,[]) ).
tff(f2833,plain,
( ~ $less(-1,$uminus(sF11))
| spl12_97 ),
inference(avatar_component_clause,[],[f2832]) ).
tff(f2845,plain,
( spl12_20
| spl12_98
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f2097,f1854,f110,f106,f2843,f227]) ).
tff(f227,plain,
( spl12_20
<=> ! [X0: $int] :
( ( 0 != X0 )
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
tff(f2843,plain,
( spl12_98
<=> ! [X0: $int] :
( ( sF11 != $sum(X0,$uminus($sum(X0,1))) )
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,$uminus($sum(X0,1)))),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_98])]) ).
tff(f106,plain,
( spl12_3
<=> $less(sK4,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
tff(f2097,plain,
( ! [X0: $int,X1: $int] :
( ( sF11 != $sum(X0,$uminus($sum(X0,1))) )
| $less(X1,0)
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,$uminus($sum(X0,1)))),0)
| ( 0 != X1 ) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(forward_demodulation,[],[f2096,f14]) ).
tff(f2096,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != X1 )
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($uminus($sum(X0,1)),X0)),0)
| $less(X1,0)
| ( sF11 != $sum(X0,$uminus($sum(X0,1))) ) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(forward_demodulation,[],[f2091,f14]) ).
tff(f2091,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,0)
| ( sF11 != $sum($uminus($sum(X0,1)),X0) )
| ( 0 != X1 )
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($uminus($sum(X0,1)),X0)),0) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(superposition,[],[f1954,f198]) ).
tff(f1954,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,$sum(X1,1)) != X2 )
| ( $sum(X0,X1) != sF11 )
| $less(X2,0)
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,X1)),0) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(backward_demodulation,[],[f635,f1855]) ).
tff(f635,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,$sum(X1,1)) != X2 )
| ( $sum(X0,X1) != sF11 )
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,X1)),sK6)
| $less(X2,0) )
| ~ spl12_3
| ~ spl12_4 ),
inference(superposition,[],[f136,f15]) ).
tff(f136,plain,
( ! [X4: $int,X5: $int] :
( ( $sum(X4,1) != X5 )
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6)
| ( sF11 != X4 )
| $less(X5,0) )
| ~ spl12_3
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f135,f107]) ).
tff(f107,plain,
( $less(sK4,sF7)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f106]) ).
tff(f135,plain,
( ! [X4: $int,X5: $int] :
( $less(X5,0)
| ~ $less(sK4,sF7)
| ( $sum(X4,1) != X5 )
| ( sF11 != X4 )
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6) )
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f85,f111]) ).
tff(f85,plain,
! [X4: $int,X5: $int] :
( ~ sorted(sK3,0,sF9)
| ~ $less(sK4,sF7)
| ( $sum(X4,1) != X5 )
| $less(X5,0)
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6)
| ( sF11 != X4 ) ),
inference(definition_folding,[],[f67,f75,f77,f76,f75,f81,f80]) ).
tff(f67,plain,
! [X4: $int,X5: $int] :
( ( div2($sum(sK5,sK4)) != X4 )
| ( $sum(X4,1) != X5 )
| $less(X5,0)
| ~ sorted(sK3,0,$sum(length(sK3),$uminus(1)))
| ~ $less(sK4,length(sK3))
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),sK6) ),
inference(cnf_transformation,[],[f39]) ).
tff(f2834,plain,
( ~ spl12_97
| ~ spl12_29
| ~ spl12_65 ),
inference(avatar_split_clause,[],[f2814,f1354,f336,f2832]) ).
tff(f336,plain,
( spl12_29
<=> $less(0,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
tff(f1354,plain,
( spl12_65
<=> $less(sF7,$sum(-1,sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_65])]) ).
tff(f2814,plain,
( ~ $less(-1,$uminus(sF11))
| ~ spl12_29
| ~ spl12_65 ),
inference(subsumption_resolution,[],[f2813,f737]) ).
tff(f737,plain,
( $less(0,sF7)
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f336]) ).
tff(f2813,plain,
( ~ $less(0,sF7)
| ~ $less(-1,$uminus(sF11))
| ~ spl12_65 ),
inference(superposition,[],[f2633,f198]) ).
tff(f2633,plain,
( ! [X0: $int] :
( ~ $less($sum(X0,sF11),sF7)
| ~ $less(-1,X0) )
| ~ spl12_65 ),
inference(resolution,[],[f2597,f22]) ).
tff(f22,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_153,[]) ).
tff(f2597,plain,
( ! [X0: $int] :
( ~ $less($sum(-1,sF11),X0)
| ~ $less(X0,sF7) )
| ~ spl12_65 ),
inference(resolution,[],[f1400,f19]) ).
tff(f19,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f1400,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(-1,sF11))
| ~ $less(X0,sF7)
| ~ $less(X1,X0) )
| ~ spl12_65 ),
inference(resolution,[],[f1360,f20]) ).
tff(f20,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_151,[]) ).
tff(f1360,plain,
( ! [X0: $int] :
( $less(X0,$sum(-1,sF11))
| ~ $less(X0,sF7) )
| ~ spl12_65 ),
inference(resolution,[],[f1355,f20]) ).
tff(f1355,plain,
( $less(sF7,$sum(-1,sF11))
| ~ spl12_65 ),
inference(avatar_component_clause,[],[f1354]) ).
tff(f2782,plain,
( spl12_96
| ~ spl12_60
| ~ spl12_93 ),
inference(avatar_split_clause,[],[f2714,f2681,f1276,f2780]) ).
tff(f2780,plain,
( spl12_96
<=> $less(sK5,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_96])]) ).
tff(f1276,plain,
( spl12_60
<=> $less(sK5,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_60])]) ).
tff(f2681,plain,
( spl12_93
<=> $less(sF7,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_93])]) ).
tff(f2714,plain,
( $less(sK5,sF11)
| ~ spl12_60
| ~ spl12_93 ),
inference(resolution,[],[f2684,f1277]) ).
tff(f1277,plain,
( $less(sK5,sF7)
| ~ spl12_60 ),
inference(avatar_component_clause,[],[f1276]) ).
tff(f2684,plain,
( ! [X0: $int] :
( ~ $less(X0,sF7)
| $less(X0,sF11) )
| ~ spl12_93 ),
inference(resolution,[],[f2682,f20]) ).
tff(f2682,plain,
( $less(sF7,sF11)
| ~ spl12_93 ),
inference(avatar_component_clause,[],[f2681]) ).
tff(f2778,plain,
( spl12_95
| ~ spl12_3
| ~ spl12_93 ),
inference(avatar_split_clause,[],[f2712,f2681,f106,f2776]) ).
tff(f2776,plain,
( spl12_95
<=> $less(sK4,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_95])]) ).
tff(f2712,plain,
( $less(sK4,sF11)
| ~ spl12_3
| ~ spl12_93 ),
inference(resolution,[],[f2684,f107]) ).
tff(f2740,plain,
( spl12_94
| ~ spl12_29
| ~ spl12_93 ),
inference(avatar_split_clause,[],[f2707,f2681,f336,f2738]) ).
tff(f2738,plain,
( spl12_94
<=> $less(0,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_94])]) ).
tff(f2707,plain,
( $less(0,sF11)
| ~ spl12_29
| ~ spl12_93 ),
inference(resolution,[],[f2684,f737]) ).
tff(f2683,plain,
( spl12_93
| spl12_15
| spl12_92 ),
inference(avatar_split_clause,[],[f2679,f2656,f185,f2681]) ).
tff(f185,plain,
( spl12_15
<=> ( sF7 = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
tff(f2656,plain,
( spl12_92
<=> $less(sF11,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_92])]) ).
tff(f2679,plain,
( $less(sF7,sF11)
| spl12_15
| spl12_92 ),
inference(subsumption_resolution,[],[f2678,f186]) ).
tff(f186,plain,
( ( sF7 != sF11 )
| spl12_15 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f2678,plain,
( ( sF7 = sF11 )
| $less(sF7,sF11)
| spl12_92 ),
inference(resolution,[],[f2657,f21]) ).
tff(f2657,plain,
( ~ $less(sF11,sF7)
| spl12_92 ),
inference(avatar_component_clause,[],[f2656]) ).
tff(f2658,plain,
( ~ spl12_92
| ~ spl12_65 ),
inference(avatar_split_clause,[],[f2643,f1354,f2656]) ).
tff(f2643,plain,
( ~ $less(sF11,sF7)
| ~ spl12_65 ),
inference(evaluation,[],[f2638]) ).
tff(f2638,plain,
( ~ $less($sum($sum(-1,sF11),1),sF7)
| ~ spl12_65 ),
inference(resolution,[],[f2597,f349]) ).
tff(f349,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f23,f19]) ).
tff(f23,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_155,[]) ).
tff(f2604,plain,
( spl12_91
| ~ spl12_86
| ~ spl12_61
| ~ spl12_65
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f2599,f1854,f1354,f1282,f2162,f2602]) ).
tff(f2602,plain,
( spl12_91
<=> ! [X0: $int] :
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),X0)
| ~ $less(X0,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_91])]) ).
tff(f2162,plain,
( spl12_86
<=> $less($sum(-1,sF11),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_86])]) ).
tff(f1282,plain,
( spl12_61
<=> $less(sK6,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_61])]) ).
tff(f2599,plain,
( ! [X0: $int] :
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),X0)
| ~ $less(X0,sF7)
| ~ $less($sum(-1,sF11),0) )
| ~ spl12_61
| ~ spl12_65
| ~ spl12_76 ),
inference(resolution,[],[f1400,f1975]) ).
tff(f1975,plain,
( ! [X0: $int] :
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),X0)
| ~ $less(X0,0) )
| ~ spl12_61
| ~ spl12_76 ),
inference(backward_demodulation,[],[f1580,f1855]) ).
tff(f1580,plain,
( ! [X0: $int] :
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),X0)
| ~ $less(X0,sK6) )
| ~ spl12_61 ),
inference(resolution,[],[f1396,f19]) ).
tff(f1396,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| ~ $less(X0,sK6)
| ~ $less(X1,X0) )
| ~ spl12_61 ),
inference(resolution,[],[f1285,f20]) ).
tff(f1285,plain,
( ! [X0: $int] :
( $less(X0,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| ~ $less(X0,sK6) )
| ~ spl12_61 ),
inference(resolution,[],[f1283,f20]) ).
tff(f1283,plain,
( $less(sK6,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| ~ spl12_61 ),
inference(avatar_component_clause,[],[f1282]) ).
tff(f2587,plain,
( spl12_90
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f680,f127,f2585]) ).
tff(f2585,plain,
( spl12_90
<=> $less(sF10,$product(2,$sum(1,sF11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_90])]) ).
tff(f127,plain,
( spl12_8
<=> ( div2(sF10) = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
tff(f680,plain,
( $less(sF10,$product(2,$sum(1,sF11)))
| ~ spl12_8 ),
inference(superposition,[],[f675,f128]) ).
tff(f128,plain,
( ( div2(sF10) = sF11 )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f675,plain,
! [X0: $int] : $less(X0,$product(2,$sum(1,div2(X0)))),
inference(forward_demodulation,[],[f672,f14]) ).
tff(f672,plain,
! [X0: $int] : $less(X0,$product(2,$sum(div2(X0),1))),
inference(gaussian_variable_elimination,[],[f46]) ).
tff(f46,plain,
! [X0: $int,X1: $int] :
( ( div2(X0) != X1 )
| $less(X0,$product(2,$sum(X1,1))) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X0,$product(2,X1))
& $less(X0,$product(2,$sum(X1,1))) )
<=> ( div2(X0) = X1 ) ),
inference(rectify,[],[f13]) ).
tff(f13,plain,
! [X0: $int,X5: $int] :
( ( $less(X0,$product(2,$sum(X5,1)))
& ~ $less(X0,$product(2,X5)) )
<=> ( div2(X0) = X5 ) ),
inference(theory_normalization,[],[f5]) ).
tff(f5,axiom,
! [X0: $int,X5: $int] :
( ( $greater($product(2,$sum(X5,1)),X0)
& $lesseq($product(2,X5),X0) )
<=> ( div2(X0) = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f2572,plain,
( spl12_88
| spl12_89
| spl12_85 ),
inference(avatar_split_clause,[],[f2241,f2159,f2570,f2567]) ).
tff(f2567,plain,
( spl12_88
<=> $less(sF7,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_88])]) ).
tff(f2570,plain,
( spl12_89
<=> ( sF7 = 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_89])]) ).
tff(f2159,plain,
( spl12_85
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_85])]) ).
tff(f2241,plain,
( $less(sF7,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| ( sF7 = 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) )
| spl12_85 ),
inference(resolution,[],[f2160,f21]) ).
tff(f2160,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sF7)
| spl12_85 ),
inference(avatar_component_clause,[],[f2159]) ).
tff(f2462,plain,
( ~ spl12_87
| spl12_71
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f2309,f1854,f1643,f2421]) ).
tff(f2421,plain,
( spl12_87
<=> $less($product(2,$sum(1,div2('select:(Array[Int,Int]*Int)>Int'(sK3,sF11)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_87])]) ).
tff(f1643,plain,
( spl12_71
<=> $less($product(2,$sum(1,div2('select:(Array[Int,Int]*Int)>Int'(sK3,sF11)))),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_71])]) ).
tff(f2309,plain,
( ~ $less($product(2,$sum(1,div2('select:(Array[Int,Int]*Int)>Int'(sK3,sF11)))),0)
| spl12_71
| ~ spl12_76 ),
inference(forward_demodulation,[],[f1644,f1855]) ).
tff(f1644,plain,
( ~ $less($product(2,$sum(1,div2('select:(Array[Int,Int]*Int)>Int'(sK3,sF11)))),sK6)
| spl12_71 ),
inference(avatar_component_clause,[],[f1643]) ).
tff(f2423,plain,
( ~ spl12_87
| ~ spl12_61
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f2152,f1854,f1282,f2421]) ).
tff(f2152,plain,
( ~ $less($product(2,$sum(1,div2('select:(Array[Int,Int]*Int)>Int'(sK3,sF11)))),0)
| ~ spl12_61
| ~ spl12_76 ),
inference(resolution,[],[f1975,f675]) ).
tff(f2164,plain,
( ~ spl12_85
| ~ spl12_86
| ~ spl12_61
| ~ spl12_65
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f2154,f1854,f1354,f1282,f2162,f2159]) ).
tff(f2154,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sF7)
| ~ $less($sum(-1,sF11),0)
| ~ spl12_61
| ~ spl12_65
| ~ spl12_76 ),
inference(resolution,[],[f1975,f1360]) ).
tff(f2149,plain,
( ~ spl12_84
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f538,f127,f2147]) ).
tff(f2147,plain,
( spl12_84
<=> $less(sF10,$product(2,sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_84])]) ).
tff(f538,plain,
( ~ $less(sF10,$product(2,sF11))
| ~ spl12_8 ),
inference(superposition,[],[f422,f128]) ).
tff(f422,plain,
! [X0: $int] : ~ $less(X0,$product(2,div2(X0))),
inference(gaussian_variable_elimination,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: $int] :
( ( div2(X0) != X1 )
| ~ $less(X0,$product(2,X1)) ),
inference(cnf_transformation,[],[f37]) ).
tff(f2059,plain,
( ~ spl12_83
| ~ spl12_61
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f2053,f1854,f1282,f2057]) ).
tff(f2057,plain,
( spl12_83
<=> $less($sum(1,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_83])]) ).
tff(f2053,plain,
( ~ $less($sum(1,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11)),0)
| ~ spl12_61
| ~ spl12_76 ),
inference(forward_demodulation,[],[f1849,f1855]) ).
tff(f1849,plain,
( ~ $less($sum(1,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11)),sK6)
| ~ spl12_61 ),
inference(forward_demodulation,[],[f1844,f14]) ).
tff(f1844,plain,
( ~ $less($sum('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),1),sK6)
| ~ spl12_61 ),
inference(resolution,[],[f349,f1580]) ).
tff(f2027,plain,
( spl12_82
| spl12_80
| spl12_81 ),
inference(avatar_split_clause,[],[f2021,f1996,f1982,f2024]) ).
tff(f2024,plain,
( spl12_82
<=> $less(0,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_82])]) ).
tff(f1982,plain,
( spl12_80
<=> ( 0 = 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_80])]) ).
tff(f1996,plain,
( spl12_81
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_81])]) ).
tff(f2021,plain,
( $less(0,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| spl12_80
| spl12_81 ),
inference(subsumption_resolution,[],[f2020,f1983]) ).
tff(f1983,plain,
( ( 0 != 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) )
| spl12_80 ),
inference(avatar_component_clause,[],[f1982]) ).
tff(f2020,plain,
( $less(0,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| ( 0 = 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) )
| spl12_81 ),
inference(resolution,[],[f1997,f21]) ).
tff(f1997,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),0)
| spl12_81 ),
inference(avatar_component_clause,[],[f1996]) ).
tff(f2026,plain,
( spl12_82
| ~ spl12_61
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f1972,f1854,f1282,f2024]) ).
tff(f1972,plain,
( $less(0,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| ~ spl12_61
| ~ spl12_76 ),
inference(backward_demodulation,[],[f1283,f1855]) ).
tff(f2019,plain,
( ~ spl12_81
| spl12_10
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f1948,f1854,f142,f1996]) ).
tff(f142,plain,
( spl12_10
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
tff(f1948,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),0)
| spl12_10
| ~ spl12_76 ),
inference(backward_demodulation,[],[f143,f1855]) ).
tff(f143,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| spl12_10 ),
inference(avatar_component_clause,[],[f142]) ).
tff(f2014,plain,
( ~ spl12_81
| spl12_34
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f2012,f1854,f110,f106,f480,f1996]) ).
tff(f480,plain,
( spl12_34
<=> $less($sum(1,sF11),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
tff(f2012,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),0)
| $less($sum(1,sF11),0)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(forward_demodulation,[],[f2010,f14]) ).
tff(f2010,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),0)
| $less($sum(sF11,1),0)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(gaussian_variable_elimination,[],[f1947]) ).
tff(f1947,plain,
( ! [X0: $int] :
( ( sF11 != X0 )
| $less($sum(X0,1),0)
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,X0),0) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(backward_demodulation,[],[f139,f1855]) ).
tff(f139,plain,
( ! [X0: $int] :
( ( sF11 != X0 )
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,X0),sK6)
| $less($sum(X0,1),0) )
| ~ spl12_3
| ~ spl12_4 ),
inference(equality_resolution,[],[f136]) ).
tff(f1998,plain,
( ~ spl12_81
| spl12_34
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f1994,f1854,f110,f106,f480,f1996]) ).
tff(f1994,plain,
( $less($sum(1,sF11),0)
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),0)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(forward_demodulation,[],[f1992,f14]) ).
tff(f1992,plain,
( $less($sum(sF11,1),0)
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),0)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(evaluation,[],[f1986]) ).
tff(f1986,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum(sF11,$uminus($uminus(1))),$uminus(1))),0)
| $less($sum(sF11,$uminus($uminus(1))),0)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(gaussian_variable_elimination,[],[f1985]) ).
tff(f1985,plain,
( ! [X5: $int] :
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X5,$uminus(1))),0)
| ( sF11 != $sum(X5,$uminus(1)) )
| $less(X5,0) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(gaussian_variable_elimination,[],[f1946]) ).
tff(f1946,plain,
( ! [X4: $int,X5: $int] :
( ( $sum(X4,1) != X5 )
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,X4),0)
| ( sF11 != X4 )
| $less(X5,0) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_76 ),
inference(backward_demodulation,[],[f136,f1855]) ).
tff(f1984,plain,
( ~ spl12_80
| spl12_5
| ~ spl12_76 ),
inference(avatar_split_clause,[],[f1945,f1854,f115,f1982]) ).
tff(f115,plain,
( spl12_5
<=> ( sK6 = 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
tff(f1945,plain,
( ( 0 != 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) )
| spl12_5
| ~ spl12_76 ),
inference(backward_demodulation,[],[f116,f1855]) ).
tff(f116,plain,
( ( sK6 != 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) )
| spl12_5 ),
inference(avatar_component_clause,[],[f115]) ).
tff(f1934,plain,
( spl12_79
| spl12_76
| ~ spl12_43
| spl12_73 ),
inference(avatar_split_clause,[],[f1837,f1763,f870,f1854,f1932]) ).
tff(f1932,plain,
( spl12_79
<=> $less(sK6,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_79])]) ).
tff(f870,plain,
( spl12_43
<=> $less(0,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).
tff(f1763,plain,
( spl12_73
<=> $less(0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_73])]) ).
tff(f1837,plain,
( $less(sK6,sF10)
| ( 0 = sK6 )
| ~ spl12_43
| spl12_73 ),
inference(resolution,[],[f1764,f928]) ).
tff(f928,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,sF10)
| ( 0 = X0 ) )
| ~ spl12_43 ),
inference(resolution,[],[f898,f21]) ).
tff(f898,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF10) )
| ~ spl12_43 ),
inference(resolution,[],[f871,f20]) ).
tff(f871,plain,
( $less(0,sF10)
| ~ spl12_43 ),
inference(avatar_component_clause,[],[f870]) ).
tff(f1764,plain,
( ~ $less(0,sK6)
| spl12_73 ),
inference(avatar_component_clause,[],[f1763]) ).
tff(f1902,plain,
( spl12_78
| ~ spl12_36
| ~ spl12_75 ),
inference(avatar_split_clause,[],[f1877,f1851,f528,f1900]) ).
tff(f1900,plain,
( spl12_78
<=> $less(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_78])]) ).
tff(f528,plain,
( spl12_36
<=> $less(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
tff(f1851,plain,
( spl12_75
<=> $less(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_75])]) ).
tff(f1877,plain,
( $less(sK6,sK4)
| ~ spl12_36
| ~ spl12_75 ),
inference(resolution,[],[f1852,f1269]) ).
tff(f1269,plain,
( ! [X0: $int] :
( ~ $less(X0,sK5)
| $less(X0,sK4) )
| ~ spl12_36 ),
inference(resolution,[],[f529,f20]) ).
tff(f529,plain,
( $less(sK5,sK4)
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f528]) ).
tff(f1852,plain,
( $less(sK6,sK5)
| ~ spl12_75 ),
inference(avatar_component_clause,[],[f1851]) ).
tff(f1898,plain,
( spl12_77
| ~ spl12_60
| ~ spl12_75 ),
inference(avatar_split_clause,[],[f1876,f1851,f1276,f1896]) ).
tff(f1896,plain,
( spl12_77
<=> $less(sK6,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_77])]) ).
tff(f1876,plain,
( $less(sK6,sF7)
| ~ spl12_60
| ~ spl12_75 ),
inference(resolution,[],[f1852,f1279]) ).
tff(f1279,plain,
( ! [X0: $int] :
( ~ $less(X0,sK5)
| $less(X0,sF7) )
| ~ spl12_60 ),
inference(resolution,[],[f1277,f20]) ).
tff(f1856,plain,
( spl12_75
| spl12_76
| ~ spl12_62
| spl12_73 ),
inference(avatar_split_clause,[],[f1839,f1763,f1287,f1854,f1851]) ).
tff(f1287,plain,
( spl12_62
<=> $less(0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_62])]) ).
tff(f1839,plain,
( $less(sK6,sK5)
| ( 0 = sK6 )
| ~ spl12_62
| spl12_73 ),
inference(resolution,[],[f1764,f1344]) ).
tff(f1344,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,sK5)
| ( 0 = X0 ) )
| ~ spl12_62 ),
inference(resolution,[],[f1303,f21]) ).
tff(f1303,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK5) )
| ~ spl12_62 ),
inference(resolution,[],[f1288,f20]) ).
tff(f1288,plain,
( $less(0,sK5)
| ~ spl12_62 ),
inference(avatar_component_clause,[],[f1287]) ).
tff(f1768,plain,
( ~ spl12_73
| spl12_74
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f1744,f1282,f1766,f1763]) ).
tff(f1766,plain,
( spl12_74
<=> $less(-1,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_74])]) ).
tff(f1744,plain,
( $less(-1,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| ~ $less(0,sK6)
| ~ spl12_61 ),
inference(evaluation,[],[f1743]) ).
tff(f1743,plain,
( ~ $less(0,sK6)
| $less($uminus(1),'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| ~ spl12_61 ),
inference(superposition,[],[f1639,f198]) ).
tff(f1639,plain,
( ! [X0: $int] :
( ~ $less($sum(X0,1),sK6)
| $less(X0,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11)) )
| ~ spl12_61 ),
inference(resolution,[],[f1580,f23]) ).
tff(f1649,plain,
( ~ spl12_70
| spl12_72
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f770,f172,f119,f110,f106,f102,f1647,f1588]) ).
tff(f1588,plain,
( spl12_70
<=> $less($sum(sF7,$sum(-1,$sum(sF11,$uminus(sF7)))),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_70])]) ).
tff(f1647,plain,
( spl12_72
<=> $less($sum(sF11,$sum($uminus(sF7),$sum(sF7,$sum($uminus(sF7),$sum(sF7,$sum(sF7,$uminus(sF9))))))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_72])]) ).
tff(f172,plain,
( spl12_14
<=> ( sF9 = $sum(sF7,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
tff(f770,plain,
( $less($sum(sF11,$sum($uminus(sF7),$sum(sF7,$sum($uminus(sF7),$sum(sF7,$sum(sF7,$uminus(sF9))))))),0)
| ~ $less($sum(sF7,$sum(-1,$sum(sF11,$uminus(sF7)))),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(superposition,[],[f736,f173]) ).
tff(f173,plain,
( ( sF9 = $sum(sF7,-1) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f172]) ).
tff(f736,plain,
( ! [X1: $int] :
( $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum(X1,$uminus($sum(X1,-1)))))))),0)
| ~ $less($sum(X1,$sum(-1,$sum(sF11,$uminus(X1)))),sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f735,f14]) ).
tff(f735,plain,
( ! [X1: $int] :
( $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum(X1,$uminus($sum(X1,-1)))))))),0)
| ~ $less($sum(X1,$sum(-1,$sum($uminus(X1),sF11))),sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f734]) ).
tff(f734,plain,
( ! [X1: $int] :
( $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum(X1,$uminus($sum(X1,-1)))))))),0)
| ~ $less($sum(X1,$sum(-1,$sum($uminus(X1),$sum(sF11,0)))),sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f733,f18]) ).
tff(f733,plain,
( ! [X1: $int] :
( ~ $less($sum(X1,$sum(-1,$sum($uminus(X1),$sum(sF11,$sum(X1,$uminus(X1)))))),sF7)
| $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum(X1,$uminus($sum(X1,-1)))))))),0) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f732,f14]) ).
tff(f732,plain,
( ! [X1: $int] :
( $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum(X1,$uminus($sum(X1,-1)))))))),0)
| ~ $less($sum(X1,$sum(-1,$sum($uminus(X1),$sum(sF11,$sum($uminus(X1),X1))))),sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f731,f14]) ).
tff(f731,plain,
( ! [X1: $int] :
( $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum(X1,$uminus($sum(X1,-1)))))))),0)
| ~ $less($sum(X1,$sum(-1,$sum($sum(sF11,$sum($uminus(X1),X1)),$uminus(X1)))),sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f730,f15]) ).
tff(f730,plain,
( ! [X1: $int] :
( $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum(X1,$uminus($sum(X1,-1)))))))),0)
| ~ $less($sum($sum(X1,-1),$sum($sum(sF11,$sum($uminus(X1),X1)),$uminus(X1))),sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f729,f14]) ).
tff(f729,plain,
( ! [X1: $int] :
( $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum($uminus($sum(X1,-1)),X1)))))),0)
| ~ $less($sum($sum(X1,-1),$sum($sum(sF11,$sum($uminus(X1),X1)),$uminus(X1))),sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f720,f14]) ).
tff(f720,plain,
( ! [X1: $int] :
( ~ $less($sum($sum($sum(sF11,$sum($uminus(X1),X1)),$uminus(X1)),$sum(X1,-1)),sF7)
| $less($sum(sF11,$sum($uminus(X1),$sum(X1,$sum($uminus(X1),$sum(X1,$sum($uminus($sum(X1,-1)),X1)))))),0) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f709]) ).
tff(f709,plain,
( ! [X1: $int] :
( ~ $less($sum($sum($sum($sum($sum($sum(sF11,$uminus(X1)),$uminus($uminus(X1))),$uminus($uminus(1))),$uminus($uminus($uminus(1)))),$uminus($uminus($uminus(X1)))),$uminus($uminus($sum(X1,-1)))),sF7)
| $less($sum($sum($sum($sum($sum($sum($sum($sum($sum(sF11,$uminus(X1)),$uminus($uminus(X1))),$uminus($uminus(1))),$uminus($uminus($uminus(1)))),$uminus($uminus($uminus(X1)))),$uminus($uminus($sum(X1,-1)))),$uminus($sum(X1,-1))),$uminus($uminus(X1))),$uminus($uminus(1))),0) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f708]) ).
tff(f708,plain,
( ! [X2: $int,X1: $int] :
( ~ $less(X2,sF7)
| $less($sum($sum($sum(X2,$uminus($sum(X1,-1))),$uminus($uminus(X1))),$uminus($uminus(1))),0)
| ( sF11 != $sum($sum($sum($sum($sum($sum(X2,$uminus($sum(X1,-1))),$uminus($uminus(X1))),$uminus($uminus(1))),$uminus(1)),$uminus(X1)),X1) ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f707]) ).
tff(f707,plain,
( ! [X2: $int,X3: $int,X1: $int] :
( ( $sum($sum($sum(X3,$uminus(1)),$uminus(X1)),$sum(X1,-1)) != X2 )
| ~ $less(X2,sF7)
| $less(X3,0)
| ( sF11 != $sum($sum($sum(X3,$uminus(1)),$uminus(X1)),X1) ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f642]) ).
tff(f642,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( $sum(1,$sum(X0,X1)) != X3 )
| ( $sum(X0,$sum(X1,-1)) != X2 )
| ~ $less(X2,sF7)
| $less(X3,0)
| ( $sum(X0,X1) != sF11 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f638,f14]) ).
tff(f638,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less(X3,0)
| ( $sum(X0,X1) != sF11 )
| ( $sum($sum(X0,X1),1) != X3 )
| ~ $less(X2,sF7)
| ( $sum(X0,$sum(X1,-1)) != X2 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f197,f15]) ).
tff(f197,plain,
( ! [X6: $int,X4: $int,X5: $int] :
( ( $sum(X4,-1) != X6 )
| $less(X5,0)
| ~ $less(X6,sF7)
| ( sF11 != X4 )
| ( $sum(X4,1) != X5 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f196,f120]) ).
tff(f196,plain,
( ! [X6: $int,X4: $int,X5: $int] :
( ( $sum(X4,1) != X5 )
| ( $sum(X4,sF8) != X6 )
| $less(X5,0)
| ( sF11 != X4 )
| ~ $less(X6,sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f195,f107]) ).
tff(f195,plain,
( ! [X6: $int,X4: $int,X5: $int] :
( ~ $less(sK4,sF7)
| ~ $less(X6,sF7)
| ( $sum(X4,sF8) != X6 )
| $less(X5,0)
| ( sF11 != X4 )
| ( $sum(X4,1) != X5 ) )
| spl12_2
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f194,f103]) ).
tff(f194,plain,
( ! [X6: $int,X4: $int,X5: $int] :
( $less(sK5,0)
| ( $sum(X4,sF8) != X6 )
| ~ $less(sK4,sF7)
| ( sF11 != X4 )
| ~ $less(X6,sF7)
| ( $sum(X4,1) != X5 )
| $less(X5,0) )
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f90,f111]) ).
tff(f90,plain,
! [X6: $int,X4: $int,X5: $int] :
( ~ sorted(sK3,0,sF9)
| ~ $less(sK4,sF7)
| ( $sum(X4,sF8) != X6 )
| ( $sum(X4,1) != X5 )
| ( sF11 != X4 )
| $less(sK5,0)
| $less(X5,0)
| ~ $less(X6,sF7) ),
inference(definition_folding,[],[f62,f75,f76,f77,f76,f75,f75,f81,f80]) ).
tff(f62,plain,
! [X6: $int,X4: $int,X5: $int] :
( ( div2($sum(sK5,sK4)) != X4 )
| ( $sum(X4,1) != X5 )
| $less(X5,0)
| ~ $less(sK4,length(sK3))
| ~ sorted(sK3,0,$sum(length(sK3),$uminus(1)))
| $less(sK5,0)
| ( $sum(X4,$uminus(1)) != X6 )
| ~ $less(X6,length(sK3)) ),
inference(cnf_transformation,[],[f39]) ).
tff(f1645,plain,
( ~ spl12_71
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f1638,f1282,f1643]) ).
tff(f1638,plain,
( ~ $less($product(2,$sum(1,div2('select:(Array[Int,Int]*Int)>Int'(sK3,sF11)))),sK6)
| ~ spl12_61 ),
inference(resolution,[],[f1580,f675]) ).
tff(f1590,plain,
( spl12_69
| ~ spl12_70
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f744,f172,f119,f110,f102,f1588,f1585]) ).
tff(f1585,plain,
( spl12_69
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(sF7,$sum($uminus(sF9),$sum(sF7,$sum(-1,$sum(sF11,$uminus(sF7))))))),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_69])]) ).
tff(f744,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(sF7,$sum($uminus(sF9),$sum(sF7,$sum(-1,$sum(sF11,$uminus(sF7))))))),sK6)
| ~ $less($sum(sF7,$sum(-1,$sum(sF11,$uminus(sF7)))),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(superposition,[],[f700,f173]) ).
tff(f700,plain,
( ! [X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X1,$sum($uminus($sum(X1,-1)),$sum(X1,$sum(-1,$sum(sF11,$uminus(X1))))))),sK6)
| ~ $less($sum(X1,$sum(-1,$sum(sF11,$uminus(X1)))),sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f699,f15]) ).
tff(f699,plain,
( ! [X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X1,$sum($uminus($sum(X1,-1)),$sum(X1,$sum(-1,$sum(sF11,$uminus(X1))))))),sK6)
| ~ $less($sum($sum(X1,-1),$sum(sF11,$uminus(X1))),sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f698,f15]) ).
tff(f698,plain,
( ! [X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X1,$sum($uminus($sum(X1,-1)),$sum($sum(X1,-1),$sum(sF11,$uminus(X1)))))),sK6)
| ~ $less($sum($sum(X1,-1),$sum(sF11,$uminus(X1))),sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f697,f14]) ).
tff(f697,plain,
( ! [X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X1,$sum($uminus($sum(X1,-1)),$sum($sum(sF11,$uminus(X1)),$sum(X1,-1))))),sK6)
| ~ $less($sum($sum(X1,-1),$sum(sF11,$uminus(X1))),sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f696,f14]) ).
tff(f696,plain,
( ! [X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X1,$sum($sum($sum(sF11,$uminus(X1)),$sum(X1,-1)),$uminus($sum(X1,-1))))),sK6)
| ~ $less($sum($sum(X1,-1),$sum(sF11,$uminus(X1))),sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f695,f14]) ).
tff(f695,plain,
( ! [X1: $int] :
( ~ $less($sum($sum(sF11,$uminus(X1)),$sum(X1,-1)),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X1,$sum($sum($sum(sF11,$uminus(X1)),$sum(X1,-1)),$uminus($sum(X1,-1))))),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f694,f14]) ).
tff(f694,plain,
( ! [X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum($sum($sum(sF11,$uminus(X1)),$sum(X1,-1)),$uminus($sum(X1,-1))),X1)),sK6)
| ~ $less($sum($sum(sF11,$uminus(X1)),$sum(X1,-1)),sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f682]) ).
tff(f682,plain,
( ! [X1: $int] :
( ~ $less($sum($sum(sF11,$uminus(X1)),$uminus($uminus($sum(X1,-1)))),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum($sum($sum(sF11,$uminus(X1)),$uminus($uminus($sum(X1,-1)))),$uminus($sum(X1,-1))),X1)),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f681]) ).
tff(f681,plain,
( ! [X2: $int,X1: $int] :
( ~ $less(X2,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum(X2,$uminus($sum(X1,-1))),X1)),sK6)
| ( sF11 != $sum($sum(X2,$uminus($sum(X1,-1))),X1) ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f639]) ).
tff(f1564,plain,
( spl12_68
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f265,f172,f1562]) ).
tff(f1562,plain,
( spl12_68
<=> ( sF9 = $sum(-1,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_68])]) ).
tff(f265,plain,
( ( sF9 = $sum(-1,sF7) )
| ~ spl12_14 ),
inference(superposition,[],[f14,f173]) ).
tff(f1546,plain,
( spl12_67
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f264,f168,f1544]) ).
tff(f1544,plain,
( spl12_67
<=> ( sF10 = $sum(sK4,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_67])]) ).
tff(f168,plain,
( spl12_13
<=> ( $sum(sK5,sK4) = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
tff(f264,plain,
( ( sF10 = $sum(sK4,sK5) )
| ~ spl12_13 ),
inference(superposition,[],[f14,f169]) ).
tff(f169,plain,
( ( $sum(sK5,sK4) = sF10 )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f168]) ).
tff(f1359,plain,
( spl12_65
| spl12_66
| spl12_25 ),
inference(avatar_split_clause,[],[f1280,f287,f1357,f1354]) ).
tff(f1357,plain,
( spl12_66
<=> ( sF7 = $sum(-1,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_66])]) ).
tff(f287,plain,
( spl12_25
<=> $less($sum(-1,sF11),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
tff(f1280,plain,
( ( sF7 = $sum(-1,sF11) )
| $less(sF7,$sum(-1,sF11))
| spl12_25 ),
inference(resolution,[],[f288,f21]) ).
tff(f288,plain,
( ~ $less($sum(-1,sF11),sF7)
| spl12_25 ),
inference(avatar_component_clause,[],[f287]) ).
tff(f1309,plain,
( spl12_21
| spl12_64
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f703,f119,f110,f102,f1307,f238]) ).
tff(f1307,plain,
( spl12_64
<=> ! [X0: $int] :
( ( sF11 != $sum(X0,$uminus($sum(X0,-1))) )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,$uminus($sum(X0,-1)))),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_64])]) ).
tff(f703,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != X1 )
| ( sF11 != $sum(X0,$uminus($sum(X0,-1))) )
| ~ $less(X1,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,$uminus($sum(X0,-1)))),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f702,f14]) ).
tff(f702,plain,
( ! [X0: $int,X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,$uminus($sum(X0,-1)))),sK6)
| ~ $less(X1,sF7)
| ( sF11 != $sum($uminus($sum(X0,-1)),X0) )
| ( 0 != X1 ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f691,f14]) ).
tff(f691,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != X1 )
| ~ $less(X1,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($uminus($sum(X0,-1)),X0)),sK6)
| ( sF11 != $sum($uminus($sum(X0,-1)),X0) ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f639,f198]) ).
tff(f1292,plain,
( spl12_62
| spl12_63
| spl12_2 ),
inference(avatar_split_clause,[],[f415,f102,f1290,f1287]) ).
tff(f1290,plain,
( spl12_63
<=> ( 0 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_63])]) ).
tff(f415,plain,
( ( 0 = sK5 )
| $less(0,sK5)
| spl12_2 ),
inference(resolution,[],[f21,f103]) ).
tff(f1284,plain,
( spl12_61
| spl12_5
| spl12_10 ),
inference(avatar_split_clause,[],[f1272,f142,f115,f1282]) ).
tff(f1272,plain,
( $less(sK6,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| spl12_5
| spl12_10 ),
inference(subsumption_resolution,[],[f1271,f116]) ).
tff(f1271,plain,
( ( sK6 = 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11) )
| $less(sK6,'select:(Array[Int,Int]*Int)>Int'(sK3,sF11))
| spl12_10 ),
inference(resolution,[],[f143,f21]) ).
tff(f1278,plain,
( spl12_60
| ~ spl12_3
| ~ spl12_36 ),
inference(avatar_split_clause,[],[f1268,f528,f106,f1276]) ).
tff(f1268,plain,
( $less(sK5,sF7)
| ~ spl12_3
| ~ spl12_36 ),
inference(resolution,[],[f529,f404]) ).
tff(f404,plain,
( ! [X0: $int] :
( ~ $less(X0,sK4)
| $less(X0,sF7) )
| ~ spl12_3 ),
inference(resolution,[],[f20,f107]) ).
tff(f1273,plain,
( ~ spl12_25
| spl12_34
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f607,f119,f110,f106,f102,f480,f287]) ).
tff(f607,plain,
( $less($sum(1,sF11),0)
| ~ $less($sum(-1,sF11),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f606,f14]) ).
tff(f606,plain,
( ~ $less($sum(-1,sF11),sF7)
| $less($sum(sF11,1),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f603,f14]) ).
tff(f603,plain,
( ~ $less($sum(sF11,-1),sF7)
| $less($sum(sF11,1),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f597]) ).
tff(f597,plain,
( $less($sum($sum($sum(sF11,$uminus($uminus(-1))),$uminus($uminus($uminus(-1)))),$uminus($uminus(1))),0)
| ~ $less($sum($sum($sum($sum($sum(sF11,$uminus($uminus(-1))),$uminus($uminus($uminus(-1)))),$uminus($uminus(1))),$uminus(1)),$uminus($uminus(-1))),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f596]) ).
tff(f596,plain,
( ! [X2: $int] :
( ~ $less($sum($sum(X2,$uminus(1)),$uminus($uminus(-1))),sF7)
| $less(X2,0)
| ( sF11 != $sum($sum($sum(X2,$uminus(1)),$uminus($uminus(-1))),$uminus(-1)) ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f595]) ).
tff(f595,plain,
( ! [X2: $int,X1: $int] :
( ( $sum($sum(X1,$uminus(-1)),1) != X2 )
| ~ $less(X1,sF7)
| $less(X2,0)
| ( sF11 != $sum(X1,$uminus(-1)) ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f273]) ).
tff(f273,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( $sum(-1,X0) != X1 )
| ( $sum(X0,1) != X2 )
| ~ $less(X1,sF7)
| $less(X2,0)
| ( sF11 != X0 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f197,f14]) ).
tff(f1270,plain,
( spl12_34
| ~ spl12_25
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f473,f119,f110,f106,f102,f287,f480]) ).
tff(f473,plain,
( $less($sum(1,sF11),0)
| ~ $less($sum(-1,sF11),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f472,f14]) ).
tff(f472,plain,
( ~ $less($sum(sF11,-1),sF7)
| $less($sum(1,sF11),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f208,f14]) ).
tff(f208,plain,
( $less($sum(sF11,1),0)
| ~ $less($sum(sF11,-1),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f206]) ).
tff(f206,plain,
( ~ $less($sum($sum($sum(sF11,$uminus($uminus(1))),$uminus(1)),-1),sF7)
| $less($sum(sF11,$uminus($uminus(1))),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f205]) ).
tff(f205,plain,
( ! [X1: $int] :
( ~ $less($sum($sum(X1,$uminus(1)),-1),sF7)
| ( sF11 != $sum(X1,$uminus(1)) )
| $less(X1,0) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f203]) ).
tff(f203,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X0,1) != X1 )
| ( sF11 != X0 )
| $less(X1,0)
| ~ $less($sum(X0,-1),sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(equality_resolution,[],[f197]) ).
tff(f1251,plain,
( ~ spl12_43
| ~ spl12_58 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
tff(f1250,plain,
( $false
| ~ spl12_43
| ~ spl12_58 ),
inference(subsumption_resolution,[],[f1246,f19]) ).
tff(f1246,plain,
( $less(sF10,sF10)
| ~ spl12_43
| ~ spl12_58 ),
inference(resolution,[],[f1207,f898]) ).
tff(f1207,plain,
( $less(sF10,0)
| ~ spl12_58 ),
inference(avatar_component_clause,[],[f1206]) ).
tff(f1206,plain,
( spl12_58
<=> $less(sF10,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).
tff(f1211,plain,
( spl12_58
| ~ spl12_59
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f1203,f609,f1209,f1206]) ).
tff(f1209,plain,
( spl12_59
<=> $less(sK4,$uminus(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_59])]) ).
tff(f609,plain,
( spl12_38
<=> ( sF10 = $sum(sK4,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).
tff(f1203,plain,
( $less(sF10,0)
| ~ $less(sK4,$uminus(sK4))
| ~ spl12_38 ),
inference(superposition,[],[f613,f198]) ).
tff(f613,plain,
( ! [X0: $int] :
( $less(sF10,$sum(X0,sK4))
| ~ $less(sK4,X0) )
| ~ spl12_38 ),
inference(superposition,[],[f22,f610]) ).
tff(f610,plain,
( ( sF10 = $sum(sK4,sK4) )
| ~ spl12_38 ),
inference(avatar_component_clause,[],[f609]) ).
tff(f1156,plain,
( spl12_57
| ~ spl12_34
| ~ spl12_43 ),
inference(avatar_split_clause,[],[f929,f870,f480,f1154]) ).
tff(f1154,plain,
( spl12_57
<=> $less($sum(1,sF11),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_57])]) ).
tff(f929,plain,
( $less($sum(1,sF11),sF10)
| ~ spl12_34
| ~ spl12_43 ),
inference(resolution,[],[f898,f481]) ).
tff(f481,plain,
( $less($sum(1,sF11),0)
| ~ spl12_34 ),
inference(avatar_component_clause,[],[f480]) ).
tff(f1079,plain,
( ~ spl12_48
| spl12_55
| spl12_56
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f725,f609,f119,f110,f106,f102,f1077,f1074,f942]) ).
tff(f942,plain,
( spl12_48
<=> ( sF10 = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
tff(f1074,plain,
( spl12_55
<=> ! [X0: $int] :
( $less(X0,0)
| ( $sum(1,sF10) != X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).
tff(f1077,plain,
( spl12_56
<=> ! [X1: $int] :
( ( $sum(sK4,$sum(-1,sK4)) != X1 )
| ~ $less(X1,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_56])]) ).
tff(f725,plain,
( ! [X0: $int,X1: $int] :
( $less(X0,0)
| ( $sum(1,sF10) != X0 )
| ( sF10 != sF11 )
| ( $sum(sK4,$sum(-1,sK4)) != X1 )
| ~ $less(X1,sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(forward_demodulation,[],[f717,f14]) ).
tff(f717,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(1,sF10) != X0 )
| ( $sum(sK4,$sum(sK4,-1)) != X1 )
| ~ $less(X1,sF7)
| $less(X0,0)
| ( sF10 != sF11 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(superposition,[],[f642,f610]) ).
tff(f1072,plain,
( spl12_49
| ~ spl12_48
| ~ spl12_50
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f1067,f609,f119,f110,f102,f948,f942,f945]) ).
tff(f945,plain,
( spl12_49
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF10),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_49])]) ).
tff(f948,plain,
( spl12_50
<=> $less($sum(sK4,$sum(-1,sK4)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).
tff(f1067,plain,
( ( sF10 != sF11 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF10),sK6)
| ~ $less($sum(sK4,$sum(-1,sK4)),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(forward_demodulation,[],[f1063,f14]) ).
tff(f1063,plain,
( ( sF10 != sF11 )
| ~ $less($sum(sK4,$sum(sK4,-1)),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF10),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(superposition,[],[f910,f610]) ).
tff(f910,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X1,X0) != sF11 )
| ~ $less($sum(X0,$sum(X1,-1)),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X1,X0)),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f692,f14]) ).
tff(f692,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X0,X1) != sF11 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,X1)),sK6)
| ~ $less($sum(X0,$sum(X1,-1)),sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(equality_resolution,[],[f639]) ).
tff(f1047,plain,
( spl12_53
| ~ spl12_54
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f1039,f172,f119,f110,f102,f1045,f1042]) ).
tff(f1042,plain,
( spl12_53
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(sF7,$sum(sF11,$uminus(sF7)))),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_53])]) ).
tff(f1045,plain,
( spl12_54
<=> $less($sum(sF9,$sum(sF11,$uminus(sF7))),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_54])]) ).
tff(f1039,plain,
( ~ $less($sum(sF9,$sum(sF11,$uminus(sF7))),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(sF7,$sum(sF11,$uminus(sF7)))),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1038,f14]) ).
tff(f1038,plain,
( ~ $less($sum($sum(sF11,$uminus(sF7)),sF9),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(sF7,$sum(sF11,$uminus(sF7)))),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1033,f14]) ).
tff(f1033,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum(sF11,$uminus(sF7)),sF7)),sK6)
| ~ $less($sum($sum(sF11,$uminus(sF7)),sF9),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(gaussian_variable_elimination,[],[f1032]) ).
tff(f1032,plain,
( ! [X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum(sF11,$uminus(sF7)),sF7)),sK6)
| ( $sum($sum(sF11,$uminus(sF7)),sF9) != X1 )
| ~ $less(X1,sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(gaussian_variable_elimination,[],[f687]) ).
tff(f687,plain,
( ! [X0: $int,X1: $int] :
( ( sF11 != $sum(X0,sF7) )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X0,sF7)),sK6)
| ( $sum(X0,sF9) != X1 )
| ~ $less(X1,sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(superposition,[],[f639,f173]) ).
tff(f985,plain,
( spl12_51
| spl12_52
| ~ spl12_46
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f727,f172,f119,f110,f106,f102,f935,f983,f980]) ).
tff(f980,plain,
( spl12_51
<=> ! [X1: $int] :
( ~ $less(X1,sF7)
| ( $sum(-2,sF7) != X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_51])]) ).
tff(f983,plain,
( spl12_52
<=> ! [X0: $int] :
( $less(X0,0)
| ( $sum(1,sF9) != X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_52])]) ).
tff(f935,plain,
( spl12_46
<=> ( sF9 = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).
tff(f727,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,sF7)
| ( $sum(-2,sF7) != X1 )
| $less(X0,0)
| ( sF9 != sF11 )
| ( $sum(1,sF9) != X0 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(forward_demodulation,[],[f721,f14]) ).
tff(f721,plain,
( ! [X0: $int,X1: $int] :
( ( sF9 != sF11 )
| $less(X0,0)
| ( $sum(1,sF9) != X0 )
| ( $sum(sF7,-2) != X1 )
| ~ $less(X1,sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(evaluation,[],[f718]) ).
tff(f718,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(1,sF9) != X0 )
| ( sF9 != sF11 )
| ~ $less(X1,sF7)
| $less(X0,0)
| ( $sum(sF7,$sum(-1,-1)) != X1 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(superposition,[],[f642,f173]) ).
tff(f950,plain,
( ~ spl12_48
| spl12_49
| ~ spl12_50
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f921,f609,f119,f110,f102,f948,f945,f942]) ).
tff(f921,plain,
( ~ $less($sum(sK4,$sum(-1,sK4)),sF7)
| ( sF10 != sF11 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF10),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(forward_demodulation,[],[f916,f14]) ).
tff(f916,plain,
( ~ $less($sum(sK4,$sum(sK4,-1)),sF7)
| ( sF10 != sF11 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF10),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_38 ),
inference(superposition,[],[f692,f610]) ).
tff(f940,plain,
( ~ spl12_45
| ~ spl12_46
| spl12_47
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f920,f172,f119,f110,f102,f938,f935,f932]) ).
tff(f932,plain,
( spl12_45
<=> $less($sum(-2,sF7),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_45])]) ).
tff(f938,plain,
( spl12_47
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF9),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_47])]) ).
tff(f920,plain,
( ~ $less($sum(-2,sF7),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF9),sK6)
| ( sF9 != sF11 )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(forward_demodulation,[],[f919,f14]) ).
tff(f919,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF9),sK6)
| ~ $less($sum(sF7,-2),sF7)
| ( sF9 != sF11 )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(evaluation,[],[f917]) ).
tff(f917,plain,
( ( sF9 != sF11 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF9),sK6)
| ~ $less($sum(sF7,$sum(-1,-1)),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(superposition,[],[f692,f173]) ).
tff(f875,plain,
( spl12_43
| ~ spl12_44
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f867,f609,f873,f870]) ).
tff(f873,plain,
( spl12_44
<=> $less($uminus(sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).
tff(f867,plain,
( ~ $less($uminus(sK4),sK4)
| $less(0,sF10)
| ~ spl12_38 ),
inference(superposition,[],[f612,f198]) ).
tff(f612,plain,
( ! [X0: $int] :
( $less($sum(X0,sK4),sF10)
| ~ $less(X0,sK4) )
| ~ spl12_38 ),
inference(superposition,[],[f22,f610]) ).
tff(f823,plain,
( spl12_42
| ~ spl12_3
| ~ spl12_41 ),
inference(avatar_split_clause,[],[f818,f815,f106,f821]) ).
tff(f821,plain,
( spl12_42
<=> $less($sum(1,sF11),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).
tff(f815,plain,
( spl12_41
<=> $less($sum(1,sF11),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_41])]) ).
tff(f818,plain,
( $less($sum(1,sF11),sF7)
| ~ spl12_3
| ~ spl12_41 ),
inference(resolution,[],[f816,f404]) ).
tff(f816,plain,
( $less($sum(1,sF11),sK4)
| ~ spl12_41 ),
inference(avatar_component_clause,[],[f815]) ).
tff(f817,plain,
( spl12_41
| ~ spl12_34
| ~ spl12_39 ),
inference(avatar_split_clause,[],[f805,f666,f480,f815]) ).
tff(f666,plain,
( spl12_39
<=> $less(0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).
tff(f805,plain,
( $less($sum(1,sF11),sK4)
| ~ spl12_34
| ~ spl12_39 ),
inference(resolution,[],[f678,f481]) ).
tff(f678,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK4) )
| ~ spl12_39 ),
inference(resolution,[],[f667,f20]) ).
tff(f667,plain,
( $less(0,sK4)
| ~ spl12_39 ),
inference(avatar_component_clause,[],[f666]) ).
tff(f738,plain,
( spl12_29
| ~ spl12_3
| ~ spl12_39 ),
inference(avatar_split_clause,[],[f677,f666,f106,f336]) ).
tff(f677,plain,
( $less(0,sF7)
| ~ spl12_3
| ~ spl12_39 ),
inference(resolution,[],[f667,f404]) ).
tff(f671,plain,
( spl12_39
| spl12_40
| spl12_37 ),
inference(avatar_split_clause,[],[f594,f591,f669,f666]) ).
tff(f669,plain,
( spl12_40
<=> ( 0 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_40])]) ).
tff(f591,plain,
( spl12_37
<=> $less(sK4,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
tff(f594,plain,
( $less(0,sK4)
| ( 0 = sK4 )
| spl12_37 ),
inference(resolution,[],[f592,f21]) ).
tff(f592,plain,
( ~ $less(sK4,0)
| spl12_37 ),
inference(avatar_component_clause,[],[f591]) ).
tff(f611,plain,
( spl12_38
| ~ spl12_13
| ~ spl12_35 ),
inference(avatar_split_clause,[],[f587,f525,f168,f609]) ).
tff(f525,plain,
( spl12_35
<=> ( sK4 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).
tff(f587,plain,
( ( sF10 = $sum(sK4,sK4) )
| ~ spl12_13
| ~ spl12_35 ),
inference(backward_demodulation,[],[f169,f526]) ).
tff(f526,plain,
( ( sK4 = sK5 )
| ~ spl12_35 ),
inference(avatar_component_clause,[],[f525]) ).
tff(f593,plain,
( ~ spl12_37
| spl12_2
| ~ spl12_35 ),
inference(avatar_split_clause,[],[f588,f525,f102,f591]) ).
tff(f588,plain,
( ~ $less(sK4,0)
| spl12_2
| ~ spl12_35 ),
inference(backward_demodulation,[],[f103,f526]) ).
tff(f530,plain,
( spl12_35
| spl12_36
| spl12_1 ),
inference(avatar_split_clause,[],[f414,f98,f528,f525]) ).
tff(f98,plain,
( spl12_1
<=> $less(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
tff(f414,plain,
( ( sK4 = sK5 )
| $less(sK5,sK4)
| spl12_1 ),
inference(resolution,[],[f21,f99]) ).
tff(f99,plain,
( ~ $less(sK4,sK5)
| spl12_1 ),
inference(avatar_component_clause,[],[f98]) ).
tff(f509,plain,
( ~ spl12_25
| spl12_34
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f507,f119,f110,f106,f102,f480,f287]) ).
tff(f507,plain,
( ~ $less($sum(-1,sF11),sF7)
| $less($sum(1,sF11),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f506,f14]) ).
tff(f506,plain,
( ~ $less($sum(-1,sF11),sF7)
| $less($sum(sF11,1),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f504,f14]) ).
tff(f504,plain,
( ~ $less($sum(sF11,-1),sF7)
| $less($sum(sF11,1),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f499]) ).
tff(f499,plain,
( ~ $less($sum(sF11,$uminus($uminus(-1))),sF7)
| $less($sum($sum($sum(sF11,$uminus($uminus(-1))),$uminus(-1)),1),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f498]) ).
tff(f498,plain,
( ! [X5: $int] :
( $less(X5,0)
| ~ $less($sum(sF11,$uminus($uminus(-1))),sF7)
| ( $sum($sum($sum(sF11,$uminus($uminus(-1))),$uminus(-1)),1) != X5 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f497]) ).
tff(f497,plain,
( ! [X6: $int,X5: $int] :
( $less(X5,0)
| ~ $less(X6,sF7)
| ( sF11 != $sum(X6,$uminus(-1)) )
| ( $sum($sum(X6,$uminus(-1)),1) != X5 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f197]) ).
tff(f496,plain,
( spl12_10
| ~ spl12_25
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f469,f119,f110,f102,f287,f142]) ).
tff(f469,plain,
( ~ $less($sum(-1,sF11),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f162,f14]) ).
tff(f162,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| ~ $less($sum(sF11,-1),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f155]) ).
tff(f155,plain,
( ! [X0: $int] :
( ( sF11 != X0 )
| ~ $less($sum(X0,-1),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,X0),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(equality_resolution,[],[f152]) ).
tff(f495,plain,
( ~ spl12_25
| spl12_10
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f493,f119,f110,f102,f142,f287]) ).
tff(f493,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| ~ $less($sum(-1,sF11),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f491,f14]) ).
tff(f491,plain,
( ~ $less($sum(sF11,-1),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f486]) ).
tff(f486,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum(sF11,$uminus($uminus(-1))),$uminus(-1))),sK6)
| ~ $less($sum(sF11,$uminus($uminus(-1))),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f485]) ).
tff(f485,plain,
( ! [X6: $int] :
( ( sF11 != $sum(X6,$uminus(-1)) )
| ~ $less(X6,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X6,$uminus(-1))),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f152]) ).
tff(f494,plain,
( spl12_34
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f466,f145,f480]) ).
tff(f145,plain,
( spl12_11
<=> $less($sum(sF11,1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
tff(f466,plain,
( $less($sum(1,sF11),0)
| ~ spl12_11 ),
inference(forward_demodulation,[],[f146,f14]) ).
tff(f146,plain,
( $less($sum(sF11,1),0)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f484,plain,
( ~ spl12_25
| spl12_34
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f468,f119,f110,f106,f102,f480,f287]) ).
tff(f468,plain,
( ~ $less($sum(-1,sF11),sF7)
| $less($sum(1,sF11),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f326,f14]) ).
tff(f326,plain,
( $less($sum(sF11,1),0)
| ~ $less($sum(-1,sF11),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f323,f14]) ).
tff(f323,plain,
( ~ $less($sum(sF11,-1),sF7)
| $less($sum(sF11,1),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f317]) ).
tff(f317,plain,
( ~ $less($sum($sum($sum($sum($sum(sF11,$uminus($uminus(-1))),$uminus($uminus($uminus(-1)))),$uminus($uminus(1))),$uminus(1)),$uminus($uminus(-1))),sF7)
| $less($sum($sum($sum(sF11,$uminus($uminus(-1))),$uminus($uminus($uminus(-1)))),$uminus($uminus(1))),0)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f316]) ).
tff(f316,plain,
( ! [X2: $int] :
( $less(X2,0)
| ~ $less($sum($sum(X2,$uminus(1)),$uminus($uminus(-1))),sF7)
| ( sF11 != $sum($sum($sum(X2,$uminus(1)),$uminus($uminus(-1))),$uminus(-1)) ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f315]) ).
tff(f315,plain,
( ! [X2: $int,X1: $int] :
( $less(X2,0)
| ( $sum($sum(X1,$uminus(-1)),1) != X2 )
| ~ $less(X1,sF7)
| ( sF11 != $sum(X1,$uminus(-1)) ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f273]) ).
tff(f483,plain,
( spl12_10
| ~ spl12_25
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f457,f119,f110,f102,f287,f142]) ).
tff(f457,plain,
( ~ $less($sum(-1,sF11),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f297,f14]) ).
tff(f297,plain,
( ~ $less($sum(sF11,-1),sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f291]) ).
tff(f291,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum(sF11,$uminus($uminus(-1))),$uminus(-1))),sK6)
| ~ $less($sum(sF11,$uminus($uminus(-1))),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f290]) ).
tff(f290,plain,
( ! [X1: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X1,$uminus(-1))),sK6)
| ( sF11 != $sum(X1,$uminus(-1)) )
| ~ $less(X1,sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f274]) ).
tff(f274,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(-1,X0) != X1 )
| ~ $less(X1,sF7)
| ( sF11 != X0 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,X0),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f152,f14]) ).
tff(f482,plain,
( spl12_34
| ~ spl12_25
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f475,f119,f110,f106,f102,f287,f480]) ).
tff(f475,plain,
( $less($sum(1,sF11),0)
| ~ $less($sum(-1,sF11),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f474,f14]) ).
tff(f474,plain,
( $less($sum(1,sF11),0)
| ~ $less($sum(sF11,-1),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f204,f14]) ).
tff(f204,plain,
( $less($sum(sF11,1),0)
| ~ $less($sum(sF11,-1),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f201]) ).
tff(f201,plain,
( $less($sum($sum($sum(sF11,$uminus($uminus(-1))),$uminus(-1)),1),0)
| ~ $less($sum(sF11,$uminus($uminus(-1))),sF7)
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f200]) ).
tff(f200,plain,
( ! [X5: $int] :
( ~ $less($sum(sF11,$uminus($uminus(-1))),sF7)
| $less(X5,0)
| ( $sum($sum($sum(sF11,$uminus($uminus(-1))),$uminus(-1)),1) != X5 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f199]) ).
tff(f199,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X6,sF7)
| ( sF11 != $sum(X6,$uminus(-1)) )
| $less(X5,0)
| ( $sum($sum(X6,$uminus(-1)),1) != X5 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f197]) ).
tff(f478,plain,
( ~ spl12_25
| spl12_10
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f456,f119,f110,f102,f142,f287]) ).
tff(f456,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| ~ $less($sum(-1,sF11),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f156,f14]) ).
tff(f156,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| ~ $less($sum(sF11,-1),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f154]) ).
tff(f154,plain,
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum(sF11,$uminus($uminus(-1))),$uminus(-1))),sK6)
| ~ $less($sum(sF11,$uminus($uminus(-1))),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f153]) ).
tff(f153,plain,
( ! [X6: $int] :
( ( sF11 != $sum(X6,$uminus(-1)) )
| ~ $less(X6,sF7)
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X6,$uminus(-1))),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(gaussian_variable_elimination,[],[f152]) ).
tff(f454,plain,
( spl12_9
| spl12_18
| spl12_29 ),
inference(avatar_contradiction_clause,[],[f453]) ).
tff(f453,plain,
( $false
| spl12_9
| spl12_18
| spl12_29 ),
inference(evaluation,[],[f435]) ).
tff(f435,plain,
( ~ $less(-2,0)
| spl12_9
| spl12_18
| spl12_29 ),
inference(backward_demodulation,[],[f222,f419]) ).
tff(f419,plain,
( ( 0 = sF7 )
| spl12_9
| spl12_29 ),
inference(subsumption_resolution,[],[f416,f337]) ).
tff(f337,plain,
( ~ $less(0,sF7)
| spl12_29 ),
inference(avatar_component_clause,[],[f336]) ).
tff(f416,plain,
( $less(0,sF7)
| ( 0 = sF7 )
| spl12_9 ),
inference(resolution,[],[f21,f133]) ).
tff(f133,plain,
( ~ $less(sF7,0)
| spl12_9 ),
inference(avatar_component_clause,[],[f132]) ).
tff(f132,plain,
( spl12_9
<=> $less(sF7,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
tff(f222,plain,
( ~ $less(-2,sF7)
| spl12_18 ),
inference(avatar_component_clause,[],[f221]) ).
tff(f221,plain,
( spl12_18
<=> $less(-2,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
tff(f451,plain,
( spl12_33
| spl12_9
| spl12_29 ),
inference(avatar_split_clause,[],[f419,f336,f132,f449]) ).
tff(f449,plain,
( spl12_33
<=> ( 0 = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_33])]) ).
tff(f403,plain,
( spl12_20
| ~ spl12_32
| ~ spl12_19
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f217,f110,f106,f224,f401,f227]) ).
tff(f401,plain,
( spl12_32
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,-1),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
tff(f224,plain,
( spl12_19
<=> ( sF11 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
tff(f217,plain,
( ! [X0: $int] :
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,-1),sK6)
| ( sF11 != -1 )
| $less(X0,0)
| ( 0 != X0 ) )
| ~ spl12_3
| ~ spl12_4 ),
inference(evaluation,[],[f212]) ).
tff(f212,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$uminus(1)),sK6)
| ( $uminus(1) != sF11 )
| ( 0 != X0 ) )
| ~ spl12_3
| ~ spl12_4 ),
inference(superposition,[],[f136,f198]) ).
tff(f368,plain,
( ~ spl12_31
| ~ spl12_27
| spl12_30
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f362,f119,f110,f106,f102,f346,f309,f366]) ).
tff(f366,plain,
( spl12_31
<=> $less(-1,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
tff(f309,plain,
( spl12_27
<=> ( 0 = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
tff(f346,plain,
( spl12_30
<=> ! [X1: $int] :
( ( 1 != X1 )
| $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
tff(f362,plain,
( ! [X0: $int] :
( ( 1 != X0 )
| ~ $less(-1,sF7)
| ( 0 != sF11 )
| $less(X0,0) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f356]) ).
tff(f356,plain,
( ! [X0: $int] :
( ( 0 != sF11 )
| $less(X0,0)
| ~ $less($sum(0,-1),sF7)
| ( 1 != X0 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f270,f16]) ).
tff(f16,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_145,[]) ).
tff(f270,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(1,X0) != X1 )
| ~ $less($sum(X0,-1),sF7)
| ( sF11 != X0 )
| $less(X1,0) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f203,f14]) ).
tff(f348,plain,
( ~ spl12_27
| spl12_30
| spl12_28
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f325,f119,f110,f106,f102,f312,f346,f309]) ).
tff(f312,plain,
( spl12_28
<=> ! [X0: $int] :
( ~ $less(X0,sF7)
| ( -1 != X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
tff(f325,plain,
( ! [X0: $int,X1: $int] :
( ( -1 != X0 )
| ~ $less(X0,sF7)
| ( 0 != sF11 )
| ( 1 != X1 )
| $less(X1,0) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f318]) ).
tff(f318,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(0,1) != X1 )
| ( 0 != sF11 )
| $less(X1,0)
| ~ $less(X0,sF7)
| ( -1 != X0 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f273,f16]) ).
tff(f338,plain,
( ~ spl12_29
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f301,f238,f336]) ).
tff(f301,plain,
( ~ $less(0,sF7)
| ~ spl12_21 ),
inference(gaussian_variable_elimination,[],[f239]) ).
tff(f239,plain,
( ! [X0: $int] :
( ( 0 != X0 )
| ~ $less(X0,sF7) )
| ~ spl12_21 ),
inference(avatar_component_clause,[],[f238]) ).
tff(f314,plain,
( spl12_26
| ~ spl12_27
| spl12_28
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f292,f119,f110,f102,f312,f309,f306]) ).
tff(f306,plain,
( spl12_26
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,0),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
tff(f292,plain,
( ! [X0: $int] :
( ~ $less(X0,sF7)
| ( 0 != sF11 )
| ( -1 != X0 )
| $less('select:(Array[Int,Int]*Int)>Int'(sK3,0),sK6) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f274,f16]) ).
tff(f289,plain,
( ~ spl12_25
| spl12_12 ),
inference(avatar_split_clause,[],[f261,f159,f287]) ).
tff(f159,plain,
( spl12_12
<=> $less($sum(sF11,-1),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
tff(f261,plain,
( ~ $less($sum(-1,sF11),sF7)
| spl12_12 ),
inference(backward_demodulation,[],[f160,f14]) ).
tff(f160,plain,
( ~ $less($sum(sF11,-1),sF7)
| spl12_12 ),
inference(avatar_component_clause,[],[f159]) ).
tff(f250,plain,
( ~ spl12_22
| spl12_21
| spl12_24
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f219,f119,f110,f106,f102,f248,f238,f241]) ).
tff(f248,plain,
( spl12_24
<=> ! [X1: $int] :
( ( 2 != X1 )
| $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
tff(f219,plain,
( ! [X0: $int,X1: $int] :
( ( 1 != sF11 )
| ( 0 != X0 )
| ( 2 != X1 )
| ~ $less(X0,sF7)
| $less(X1,0) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f214]) ).
tff(f214,plain,
( ! [X0: $int,X1: $int] :
( ( $sum($uminus(-1),1) != X1 )
| ~ $less(X0,sF7)
| ( sF11 != $uminus(-1) )
| $less(X1,0)
| ( 0 != X0 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f197,f198]) ).
tff(f246,plain,
( spl12_21
| ~ spl12_22
| spl12_23
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f218,f119,f110,f102,f244,f241,f238]) ).
tff(f244,plain,
( spl12_23
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,1),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
tff(f218,plain,
( ! [X0: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,1),sK6)
| ~ $less(X0,sF7)
| ( 0 != X0 )
| ( 1 != sF11 ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f215]) ).
tff(f215,plain,
( ! [X0: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,$uminus(-1)),sK6)
| ( 0 != X0 )
| ( sF11 != $uminus(-1) )
| ~ $less(X0,sF7) )
| spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f152,f198]) ).
tff(f229,plain,
( ~ spl12_18
| ~ spl12_19
| spl12_20
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f216,f119,f110,f106,f102,f227,f224,f221]) ).
tff(f216,plain,
( ! [X0: $int] :
( ( 0 != X0 )
| ( sF11 != -1 )
| $less(X0,0)
| ~ $less(-2,sF7) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(evaluation,[],[f211]) ).
tff(f211,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( $uminus(1) != sF11 )
| ~ $less($sum($uminus(1),-1),sF7)
| ( 0 != X0 ) )
| spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f203,f198]) ).
tff(f193,plain,
( ~ spl12_15
| spl12_16
| spl12_17
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f175,f172,f119,f110,f102,f191,f188,f185]) ).
tff(f188,plain,
( spl12_16
<=> $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF7),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
tff(f191,plain,
( spl12_17
<=> ! [X0: $int] :
( ~ $less(X0,sF7)
| ( sF9 != X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
tff(f175,plain,
( ! [X0: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF7),sK6)
| ( sF7 != sF11 )
| ~ $less(X0,sF7)
| ( sF9 != X0 ) )
| spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14 ),
inference(superposition,[],[f152,f173]) ).
tff(f174,plain,
( spl12_14
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f166,f119,f172]) ).
tff(f166,plain,
( ( sF9 = $sum(sF7,-1) )
| ~ spl12_6 ),
inference(forward_demodulation,[],[f77,f120]) ).
tff(f170,plain,
spl12_13,
inference(avatar_split_clause,[],[f80,f168]) ).
tff(f161,plain,
( ~ spl12_12
| spl12_2
| ~ spl12_4
| ~ spl12_6
| spl12_10 ),
inference(avatar_split_clause,[],[f157,f142,f119,f110,f102,f159]) ).
tff(f157,plain,
( ~ $less($sum(sF11,-1),sF7)
| spl12_2
| ~ spl12_4
| ~ spl12_6
| spl12_10 ),
inference(subsumption_resolution,[],[f156,f143]) ).
tff(f147,plain,
( ~ spl12_10
| spl12_11
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f140,f110,f106,f145,f142]) ).
tff(f140,plain,
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,sF11),sK6)
| $less($sum(sF11,1),0)
| ~ spl12_3
| ~ spl12_4 ),
inference(evaluation,[],[f138]) ).
tff(f138,plain,
( $less($sum(sF11,$uminus($uminus(1))),0)
| ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum($sum(sF11,$uminus($uminus(1))),$uminus(1))),sK6)
| ~ spl12_3
| ~ spl12_4 ),
inference(gaussian_variable_elimination,[],[f137]) ).
tff(f137,plain,
( ! [X5: $int] :
( ~ $less('select:(Array[Int,Int]*Int)>Int'(sK3,$sum(X5,$uminus(1))),sK6)
| ( sF11 != $sum(X5,$uminus(1)) )
| $less(X5,0) )
| ~ spl12_3
| ~ spl12_4 ),
inference(gaussian_variable_elimination,[],[f136]) ).
tff(f134,plain,
( ~ spl12_9
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f130,f123,f132]) ).
tff(f123,plain,
( spl12_7
<=> ( length(sK3) = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
tff(f130,plain,
( ~ $less(sF7,0)
| ~ spl12_7 ),
inference(superposition,[],[f53,f124]) ).
tff(f124,plain,
( ( length(sK3) = sF7 )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f53,plain,
! [X0: 'Array[Int,Int]'] : ~ $less(length(X0),0),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: 'Array[Int,Int]'] : ~ $less(length(X0),0),
inference(theory_normalization,[],[f6]) ).
tff(f6,axiom,
! [X0: 'Array[Int,Int]'] : $greatereq(length(X0),0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f129,plain,
spl12_8,
inference(avatar_split_clause,[],[f81,f127]) ).
tff(f125,plain,
spl12_7,
inference(avatar_split_clause,[],[f75,f123]) ).
tff(f121,plain,
spl12_6,
inference(avatar_split_clause,[],[f96,f119]) ).
tff(f96,plain,
sF8 = -1,
inference(evaluation,[],[f76]) ).
tff(f117,plain,
~ spl12_5,
inference(avatar_split_clause,[],[f113,f115]) ).
tff(f113,plain,
sK6 != 'select:(Array[Int,Int]*Int)>Int'(sK3,sF11),
inference(gaussian_variable_elimination,[],[f83]) ).
tff(f83,plain,
! [X4: $int] :
( ( sK6 != 'select:(Array[Int,Int]*Int)>Int'(sK3,X4) )
| ( sF11 != X4 ) ),
inference(definition_folding,[],[f69,f81,f80]) ).
tff(f69,plain,
! [X4: $int] :
( ( div2($sum(sK5,sK4)) != X4 )
| ( sK6 != 'select:(Array[Int,Int]*Int)>Int'(sK3,X4) ) ),
inference(cnf_transformation,[],[f39]) ).
tff(f112,plain,
spl12_4,
inference(avatar_split_clause,[],[f78,f110]) ).
tff(f78,plain,
sorted(sK3,0,sF9),
inference(definition_folding,[],[f74,f77,f76,f75]) ).
tff(f74,plain,
sorted(sK3,0,$sum(length(sK3),$uminus(1))),
inference(cnf_transformation,[],[f39]) ).
tff(f108,plain,
spl12_3,
inference(avatar_split_clause,[],[f79,f106]) ).
tff(f79,plain,
$less(sK4,sF7),
inference(definition_folding,[],[f72,f75]) ).
tff(f72,plain,
$less(sK4,length(sK3)),
inference(cnf_transformation,[],[f39]) ).
tff(f104,plain,
~ spl12_2,
inference(avatar_split_clause,[],[f73,f102]) ).
tff(f73,plain,
~ $less(sK5,0),
inference(cnf_transformation,[],[f39]) ).
tff(f100,plain,
~ spl12_1,
inference(avatar_split_clause,[],[f71,f98]) ).
tff(f71,plain,
~ $less(sK4,sK5),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW677_1 : TPTP v8.2.0. Released v6.4.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 05:11:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TF0_THM_EQU_ARI problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1919)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.21/0.42 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1918)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.21/0.42 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1920)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.21/0.42 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1915)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.21/0.42 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1916)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.21/0.42 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1914)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.21/0.42 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1917)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.42 % (1917)Instruction limit reached!
% 0.21/0.42 % (1917)------------------------------
% 0.21/0.42 % (1917)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42 % (1917)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42 % (1917)Termination reason: Time limit
% 0.21/0.42 % (1917)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (1917)Memory used [KB]: 745
% 0.21/0.42 % (1917)Time elapsed: 0.003 s
% 0.21/0.42 % (1917)Instructions burned: 2 (million)
% 0.21/0.43 % (1916)Instruction limit reached!
% 0.21/0.43 % (1916)------------------------------
% 0.21/0.43 % (1916)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (1916)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (1916)Termination reason: Time limit
% 0.21/0.43 % (1916)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (1916)Memory used [KB]: 891
% 0.21/0.43 % (1916)Time elapsed: 0.008 s
% 0.21/0.43 % (1916)Instructions burned: 8 (million)
% 0.21/0.43 % (1919)Instruction limit reached!
% 0.21/0.43 % (1919)------------------------------
% 0.21/0.43 % (1919)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (1919)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (1919)Termination reason: Time limit
% 0.21/0.43 % (1919)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (1919)Memory used [KB]: 971
% 0.21/0.43 % (1919)Time elapsed: 0.013 s
% 0.21/0.43 % (1919)Instructions burned: 16 (million)
% 0.21/0.44 % (1920)Instruction limit reached!
% 0.21/0.44 % (1920)------------------------------
% 0.21/0.44 % (1920)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (1920)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (1920)Termination reason: Time limit
% 0.21/0.44 % (1920)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (1920)Memory used [KB]: 1233
% 0.21/0.44 % (1920)Time elapsed: 0.023 s
% 0.21/0.44 % (1920)Instructions burned: 32 (million)
% 0.21/0.45 % (1915)Instruction limit reached!
% 0.21/0.45 % (1915)------------------------------
% 0.21/0.45 % (1915)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45 % (1915)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45 % (1915)Termination reason: Time limit
% 0.21/0.45 % (1915)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (1915)Memory used [KB]: 1167
% 0.21/0.45 % (1915)Time elapsed: 0.026 s
% 0.21/0.45 % (1915)Instructions burned: 34 (million)
% 0.21/0.45 % (1918)Instruction limit reached!
% 0.21/0.45 % (1918)------------------------------
% 0.21/0.45 % (1918)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45 % (1918)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45 % (1918)Termination reason: Time limit
% 0.21/0.45 % (1918)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (1918)Memory used [KB]: 1338
% 0.21/0.45 % (1918)Time elapsed: 0.028 s
% 0.21/0.45 % (1918)Instructions burned: 37 (million)
% 0.21/0.48 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (1921)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.21/0.48 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (1922)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.21/0.49 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (1923)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49 % (1923)Instruction limit reached!
% 0.21/0.49 % (1923)------------------------------
% 0.21/0.49 % (1923)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (1923)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (1923)Termination reason: Time limit
% 0.21/0.49 % (1923)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (1923)Memory used [KB]: 840
% 0.21/0.49 % (1923)Time elapsed: 0.003 s
% 0.21/0.49 % (1923)Instructions burned: 3 (million)
% 0.21/0.49 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (1926)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49 % (1926)Instruction limit reached!
% 0.21/0.49 % (1926)------------------------------
% 0.21/0.49 % (1926)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (1926)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (1926)Termination reason: Time limit
% 0.21/0.49 % (1926)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (1926)Memory used [KB]: 831
% 0.21/0.49 % (1926)Time elapsed: 0.003 s
% 0.21/0.49 % (1926)Instructions burned: 4 (million)
% 0.21/0.49 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (1924)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.21/0.49 % (1922)Instruction limit reached!
% 0.21/0.49 % (1922)------------------------------
% 0.21/0.49 % (1922)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (1922)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (1922)Termination reason: Time limit
% 0.21/0.49 % (1922)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (1922)Memory used [KB]: 1146
% 0.21/0.49 % (1922)Time elapsed: 0.011 s
% 0.21/0.49 % (1922)Instructions burned: 26 (million)
% 0.21/0.50 % (1921)Instruction limit reached!
% 0.21/0.50 % (1921)------------------------------
% 0.21/0.50 % (1921)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (1921)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (1921)Termination reason: Time limit
% 0.21/0.50 % (1921)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (1921)Memory used [KB]: 1207
% 0.21/0.50 % (1921)Time elapsed: 0.015 s
% 0.21/0.50 % (1921)Instructions burned: 36 (million)
% 0.21/0.50 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50 % (1925)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.50 % (1925)Instruction limit reached!
% 0.21/0.50 % (1925)------------------------------
% 0.21/0.50 % (1925)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (1925)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (1925)Termination reason: Time limit
% 0.21/0.50 % (1925)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (1925)Memory used [KB]: 892
% 0.21/0.50 % (1925)Time elapsed: 0.003 s
% 0.21/0.50 % (1925)Instructions burned: 4 (million)
% 0.21/0.51 % (1924)Instruction limit reached!
% 0.21/0.51 % (1924)------------------------------
% 0.21/0.51 % (1924)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.51 % (1924)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.51 % (1924)Termination reason: Time limit
% 0.21/0.51 % (1924)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (1924)Memory used [KB]: 1201
% 0.21/0.51 % (1924)Time elapsed: 0.016 s
% 0.21/0.51 % (1924)Instructions burned: 35 (million)
% 0.21/0.52 % (1912)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (1927)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.27/0.53 % (1912)Running in auto input_syntax mode. Trying TPTP
% 1.27/0.53 % (1928)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.27/0.53 % (1912)Running in auto input_syntax mode. Trying TPTP
% 1.27/0.53 % (1930)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.27/0.53 % (1927)Instruction limit reached!
% 1.27/0.53 % (1927)------------------------------
% 1.27/0.53 % (1927)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.27/0.53 % (1927)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.27/0.53 % (1927)Termination reason: Time limit
% 1.27/0.53 % (1927)Termination phase: Saturation
% 1.27/0.53
% 1.27/0.53 % (1927)Memory used [KB]: 943
% 1.27/0.53 % (1927)Time elapsed: 0.010 s
% 1.27/0.53 % (1927)Instructions burned: 21 (million)
% 1.27/0.53 % (1930)Instruction limit reached!
% 1.27/0.53 % (1930)------------------------------
% 1.27/0.53 % (1930)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.27/0.53 % (1930)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.27/0.53 % (1930)Termination reason: Time limit
% 1.27/0.53 % (1930)Termination phase: Saturation
% 1.27/0.53
% 1.27/0.53 % (1930)Memory used [KB]: 913
% 1.27/0.53 % (1930)Time elapsed: 0.003 s
% 1.27/0.53 % (1930)Instructions burned: 3 (million)
% 1.27/0.53 % (1912)Running in auto input_syntax mode. Trying TPTP
% 1.27/0.53 % (1931)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.27/0.54 % (1912)Running in auto input_syntax mode. Trying TPTP
% 1.27/0.54 % (1929)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.27/0.54 % (1912)Running in auto input_syntax mode. Trying TPTP
% 1.27/0.54 % (1932)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.27/0.54 % (1929)Instruction limit reached!
% 1.27/0.54 % (1929)------------------------------
% 1.27/0.54 % (1929)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.27/0.54 % (1929)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.27/0.54 % (1929)Termination reason: Time limit
% 1.27/0.54 % (1929)Termination phase: Property scanning
% 1.27/0.54
% 1.27/0.54 % (1929)Memory used [KB]: 820
% 1.27/0.54 % (1929)Time elapsed: 0.003 s
% 1.27/0.54 % (1929)Instructions burned: 2 (million)
% 1.42/0.54 % (1928)Instruction limit reached!
% 1.42/0.54 % (1928)------------------------------
% 1.42/0.54 % (1928)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.54 % (1928)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.54 % (1928)Termination reason: Time limit
% 1.42/0.54 % (1928)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (1928)Memory used [KB]: 1267
% 1.42/0.54 % (1928)Time elapsed: 0.020 s
% 1.42/0.54 % (1928)Instructions burned: 52 (million)
% 1.42/0.55 % (1932)Instruction limit reached!
% 1.42/0.55 % (1932)------------------------------
% 1.42/0.55 % (1932)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.55 % (1932)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.55 % (1932)Termination reason: Time limit
% 1.42/0.55 % (1932)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (1932)Memory used [KB]: 932
% 1.42/0.55 % (1932)Time elapsed: 0.008 s
% 1.42/0.55 % (1932)Instructions burned: 16 (million)
% 1.42/0.55 % (1931)Instruction limit reached!
% 1.42/0.55 % (1931)------------------------------
% 1.42/0.55 % (1931)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.55 % (1931)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.55 % (1931)Termination reason: Time limit
% 1.42/0.55 % (1931)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (1931)Memory used [KB]: 1321
% 1.42/0.55 % (1931)Time elapsed: 0.021 s
% 1.42/0.55 % (1931)Instructions burned: 49 (million)
% 1.42/0.57 % (1912)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.57 % (1934)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.42/0.57 % (1912)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.57 % (1933)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.42/0.57 % (1933)Instruction limit reached!
% 1.42/0.57 % (1933)------------------------------
% 1.42/0.57 % (1933)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.57 % (1933)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.57 % (1933)Termination reason: Time limit
% 1.42/0.57 % (1933)Termination phase: Saturation
% 1.42/0.57
% 1.42/0.57 % (1933)Memory used [KB]: 873
% 1.42/0.57 % (1933)Time elapsed: 0.002 s
% 1.42/0.57 % (1933)Instructions burned: 3 (million)
% 1.42/0.57 % (1934)Instruction limit reached!
% 1.42/0.57 % (1934)------------------------------
% 1.42/0.57 % (1934)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.57 % (1934)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.57 % (1934)Termination reason: Time limit
% 1.42/0.57 % (1934)Termination phase: Saturation
% 1.42/0.57
% 1.42/0.57 % (1934)Memory used [KB]: 916
% 1.42/0.57 % (1934)Time elapsed: 0.007 s
% 1.42/0.57 % (1934)Instructions burned: 15 (million)
% 1.42/0.57 % (1914)First to succeed.
% 1.42/0.58 % (1914)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1912"
% 1.42/0.58 % (1912)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.58 % (1914)Refutation found. Thanks to Tanya!
% 1.42/0.58 % SZS status Theorem for theBenchmark
% 1.42/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.58 % (1914)------------------------------
% 1.42/0.58 % (1914)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.58 % (1914)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.58 % (1914)Termination reason: Refutation
% 1.42/0.58
% 1.42/0.58 % (1914)Memory used [KB]: 2124
% 1.42/0.58 % (1914)Time elapsed: 0.156 s
% 1.42/0.58 % (1914)Instructions burned: 374 (million)
% 1.42/0.58 % (1914)------------------------------
% 1.42/0.58 % (1914)------------------------------
% 1.42/0.58 % (1912)Success in time 0.197 s
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