TSTP Solution File: DAT007_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT007_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 May 20 19:50:48 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 82
% Syntax : Number of formulae : 244 ( 27 unt; 5 typ; 0 def)
% Number of atoms : 697 ( 110 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 825 ( 367 ~; 388 |; 6 &)
% ( 61 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 1097 ( 211 atm; 287 fun; 260 num; 339 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 64 ( 61 usr; 62 prp; 0-2 aty)
% Number of functors : 18 ( 4 usr; 14 con; 0-3 aty)
% Number of variables : 356 ( 350 !; 6 ?; 356 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_15,type,
sK0: array ).
tff(func_def_16,type,
sK1: array ).
tff(f1031,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f32,f37,f41,f45,f49,f53,f57,f61,f65,f76,f80,f94,f99,f103,f128,f150,f158,f169,f173,f182,f186,f190,f226,f230,f250,f254,f258,f262,f321,f325,f329,f333,f469,f473,f477,f542,f546,f550,f554,f638,f642,f646,f650,f802,f820,f824,f828,f838,f887,f894,f898,f902,f907,f911,f915,f919,f923,f927,f931,f935,f1030]) ).
tff(f1030,plain,
( ~ spl2_1
| ~ spl2_54 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
tff(f1029,plain,
( $false
| ~ spl2_1
| ~ spl2_54 ),
inference(evaluation,[],[f1028]) ).
tff(f1028,plain,
( ~ $less(30,33)
| ~ $less(33,40)
| ~ spl2_1
| ~ spl2_54 ),
inference(superposition,[],[f27,f906]) ).
tff(f906,plain,
( ( 33 = read(sK0,3) )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f904]) ).
tff(f904,plain,
( spl2_54
<=> ( 33 = read(sK0,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).
tff(f27,plain,
( ! [X2: $int] :
( ~ $less(30,read(sK0,X2))
| ~ $less(read(sK0,X2),40) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f26,plain,
( spl2_1
<=> ! [X2: $int] :
( ~ $less(30,read(sK0,X2))
| ~ $less(read(sK0,X2),40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f935,plain,
( spl2_61
| ~ spl2_6
| ~ spl2_23
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f793,f648,f188,f47,f933]) ).
tff(f933,plain,
( spl2_61
<=> ! [X2: $int,X1: $int] :
( ~ $less(0,X2)
| $less(X1,$sum(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_61])]) ).
tff(f47,plain,
( spl2_6
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f188,plain,
( spl2_23
<=> ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
tff(f648,plain,
( spl2_44
<=> ! [X0: $int,X3: $int,X2: $int,X1: $int] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,X2))
| ~ $less($sum(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).
tff(f793,plain,
( ! [X2: $int,X1: $int] :
( ~ $less(0,X2)
| $less(X1,$sum(X2,X1)) )
| ~ spl2_6
| ~ spl2_23
| ~ spl2_44 ),
inference(forward_demodulation,[],[f773,f48]) ).
tff(f48,plain,
( ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f773,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum(X2,X1))
| ~ $less($sum(X0,$uminus(X0)),X2) )
| ~ spl2_23
| ~ spl2_44 ),
inference(superposition,[],[f649,f189]) ).
tff(f189,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f188]) ).
tff(f649,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,X2))
| ~ $less($sum(X0,X1),X3) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f648]) ).
tff(f931,plain,
( spl2_60
| ~ spl2_6
| ~ spl2_23
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f749,f644,f188,f47,f929]) ).
tff(f929,plain,
( spl2_60
<=> ! [X2: $int,X1: $int] :
( ~ $less(X2,0)
| $less($sum(X2,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_60])]) ).
tff(f644,plain,
( spl2_43
<=> ! [X0: $int,X3: $int,X2: $int,X1: $int] :
( $less($sum(X3,X2),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).
tff(f749,plain,
( ! [X2: $int,X1: $int] :
( ~ $less(X2,0)
| $less($sum(X2,X1),X1) )
| ~ spl2_6
| ~ spl2_23
| ~ spl2_43 ),
inference(forward_demodulation,[],[f740,f48]) ).
tff(f740,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),X1)
| ~ $less(X2,$sum(X0,$uminus(X0))) )
| ~ spl2_23
| ~ spl2_43 ),
inference(superposition,[],[f645,f189]) ).
tff(f645,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X3,X2),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f644]) ).
tff(f927,plain,
( spl2_59
| ~ spl2_6
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f444,f331,f47,f925]) ).
tff(f925,plain,
( spl2_59
<=> ! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).
tff(f331,plain,
( spl2_33
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
tff(f444,plain,
( ! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X1,X0)) = X1 )
| ~ spl2_6
| ~ spl2_33 ),
inference(evaluation,[],[f381]) ).
tff(f381,plain,
( ! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X1,X0)) = $sum(X1,0) )
| ~ spl2_6
| ~ spl2_33 ),
inference(superposition,[],[f332,f48]) ).
tff(f332,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f331]) ).
tff(f923,plain,
( spl2_58
| ~ spl2_6
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f374,f327,f47,f921]) ).
tff(f921,plain,
( spl2_58
<=> ! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).
tff(f327,plain,
( spl2_32
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
tff(f374,plain,
( ! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 )
| ~ spl2_6
| ~ spl2_32 ),
inference(evaluation,[],[f344]) ).
tff(f344,plain,
( ! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum($uminus(X0),$sum(X0,X1)) )
| ~ spl2_6
| ~ spl2_32 ),
inference(superposition,[],[f328,f48]) ).
tff(f328,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f327]) ).
tff(f919,plain,
( spl2_57
| ~ spl2_22
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f281,f252,f184,f917]) ).
tff(f917,plain,
( spl2_57
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).
tff(f184,plain,
( spl2_22
<=> ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
tff(f252,plain,
( spl2_27
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
tff(f281,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X1,X0)) )
| ~ spl2_22
| ~ spl2_27 ),
inference(resolution,[],[f253,f185]) ).
tff(f185,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f184]) ).
tff(f253,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f252]) ).
tff(f915,plain,
( spl2_56
| ~ spl2_22
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f221,f188,f184,f913]) ).
tff(f913,plain,
( spl2_56
<=> ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less($sum(-1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).
tff(f221,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less($sum(-1,X0),X1) )
| ~ spl2_22
| ~ spl2_23 ),
inference(evaluation,[],[f217]) ).
tff(f217,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less($sum($uminus(1),X0),X1) )
| ~ spl2_22
| ~ spl2_23 ),
inference(superposition,[],[f185,f189]) ).
tff(f911,plain,
( spl2_55
| ~ spl2_21
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f220,f188,f180,f909]) ).
tff(f909,plain,
( spl2_55
<=> ! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less($sum(-1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_55])]) ).
tff(f180,plain,
( spl2_21
<=> ! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
tff(f220,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less($sum(-1,X0),X1) )
| ~ spl2_21
| ~ spl2_23 ),
inference(evaluation,[],[f218]) ).
tff(f218,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less($sum($uminus(1),X0),X1) )
| ~ spl2_21
| ~ spl2_23 ),
inference(superposition,[],[f181,f189]) ).
tff(f181,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f180]) ).
tff(f907,plain,
( spl2_54
| ~ spl2_10
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f834,f640,f63,f904]) ).
tff(f63,plain,
( spl2_10
<=> ! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
tff(f640,plain,
( spl2_42
<=> ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).
tff(f834,plain,
( ( 33 = read(sK0,3) )
| ~ spl2_10
| ~ spl2_42 ),
inference(evaluation,[],[f829]) ).
tff(f829,plain,
( ( 33 = read(sK0,3) )
| ( 3 = 4 )
| ( 3 = 5 )
| ~ spl2_10
| ~ spl2_42 ),
inference(superposition,[],[f641,f64]) ).
tff(f64,plain,
( ! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f641,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) )
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f640]) ).
tff(f902,plain,
( spl2_53
| ~ spl2_7
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f210,f188,f51,f900]) ).
tff(f900,plain,
( spl2_53
<=> ! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).
tff(f51,plain,
( spl2_7
<=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f210,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 )
| ~ spl2_7
| ~ spl2_23 ),
inference(superposition,[],[f189,f52]) ).
tff(f52,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f898,plain,
( spl2_52
| ~ spl2_15
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f203,f184,f101,f896]) ).
tff(f896,plain,
( spl2_52
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,X0))
| ~ $less(X1,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).
tff(f101,plain,
( spl2_15
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
tff(f203,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,X0))
| ~ $less(X1,1) )
| ~ spl2_15
| ~ spl2_22 ),
inference(resolution,[],[f185,f102]) ).
tff(f102,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f101]) ).
tff(f894,plain,
( spl2_51
| ~ spl2_11
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f175,f171,f74,f892]) ).
tff(f892,plain,
( spl2_51
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).
tff(f74,plain,
( spl2_11
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
tff(f171,plain,
( spl2_20
<=> ! [X0: $int] : $less(X0,$sum(X0,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
tff(f175,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,1)) )
| ~ spl2_11
| ~ spl2_20 ),
inference(resolution,[],[f172,f75]) ).
tff(f75,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f172,plain,
( ! [X0: $int] : $less(X0,$sum(X0,1))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f887,plain,
( spl2_50
| ~ spl2_22
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f232,f224,f184,f885]) ).
tff(f885,plain,
( spl2_50
<=> ! [X0: $int] :
( ~ $less(X0,1)
| ~ $less($uminus(X0),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).
tff(f224,plain,
( spl2_24
<=> ! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
tff(f232,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| ~ $less($uminus(X0),0) )
| ~ spl2_22
| ~ spl2_24 ),
inference(resolution,[],[f225,f185]) ).
tff(f225,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f224]) ).
tff(f838,plain,
( spl2_49
| ~ spl2_6
| ~ spl2_23
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f534,f475,f188,f47,f836]) ).
tff(f836,plain,
( spl2_49
<=> ! [X1: $int] :
( $less(0,X1)
| $less(X1,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).
tff(f475,plain,
( spl2_36
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| $less($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).
tff(f534,plain,
( ! [X1: $int] :
( $less(0,X1)
| $less(X1,1) )
| ~ spl2_6
| ~ spl2_23
| ~ spl2_36 ),
inference(forward_demodulation,[],[f527,f48]) ).
tff(f527,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,1)
| $less($sum(X0,$uminus(X0)),X1) )
| ~ spl2_23
| ~ spl2_36 ),
inference(superposition,[],[f476,f189]) ).
tff(f476,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| $less($sum(X0,X1),X2) )
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f475]) ).
tff(f828,plain,
( spl2_48
| ~ spl2_6
| ~ spl2_23
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f506,f471,f188,f47,f826]) ).
tff(f826,plain,
( spl2_48
<=> ! [X1: $int] :
( ~ $less(0,X1)
| ~ $less(X1,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).
tff(f471,plain,
( spl2_35
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).
tff(f506,plain,
( ! [X1: $int] :
( ~ $less(0,X1)
| ~ $less(X1,1) )
| ~ spl2_6
| ~ spl2_23
| ~ spl2_35 ),
inference(forward_demodulation,[],[f498,f48]) ).
tff(f498,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,1)
| ~ $less($sum(X0,$uminus(X0)),X1) )
| ~ spl2_23
| ~ spl2_35 ),
inference(superposition,[],[f472,f189]) ).
tff(f472,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less($sum(X0,X1),X2) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f471]) ).
tff(f824,plain,
( spl2_47
| ~ spl2_6
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f207,f184,f47,f822]) ).
tff(f822,plain,
( spl2_47
<=> ! [X0: $int] :
( ~ $less(X0,0)
| ~ $less(-1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).
tff(f207,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| ~ $less(-1,X0) )
| ~ spl2_6
| ~ spl2_22 ),
inference(evaluation,[],[f204]) ).
tff(f204,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| ~ $less($uminus(1),X0) )
| ~ spl2_6
| ~ spl2_22 ),
inference(superposition,[],[f185,f48]) ).
tff(f820,plain,
( spl2_46
| ~ spl2_6
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f197,f180,f47,f818]) ).
tff(f818,plain,
( spl2_46
<=> ! [X0: $int] :
( $less(X0,0)
| $less(-1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).
tff(f197,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(-1,X0) )
| ~ spl2_6
| ~ spl2_21 ),
inference(evaluation,[],[f194]) ).
tff(f194,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less($uminus(1),X0) )
| ~ spl2_6
| ~ spl2_21 ),
inference(superposition,[],[f181,f48]) ).
tff(f802,plain,
( spl2_45
| ~ spl2_7
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f176,f171,f51,f800]) ).
tff(f800,plain,
( spl2_45
<=> ! [X0: $int] : $less(X0,$sum(1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).
tff(f176,plain,
( ! [X0: $int] : $less(X0,$sum(1,X0))
| ~ spl2_7
| ~ spl2_20 ),
inference(superposition,[],[f172,f52]) ).
tff(f650,plain,
( spl2_44
| ~ spl2_15
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f139,f126,f101,f648]) ).
tff(f126,plain,
( spl2_16
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
tff(f139,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,X2))
| ~ $less($sum(X0,X1),X3) )
| ~ spl2_15
| ~ spl2_16 ),
inference(superposition,[],[f102,f127]) ).
tff(f127,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f646,plain,
( spl2_43
| ~ spl2_15
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f138,f126,f101,f644]) ).
tff(f138,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X3,X2),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) )
| ~ spl2_15
| ~ spl2_16 ),
inference(superposition,[],[f102,f127]) ).
tff(f642,plain,
( spl2_42
| ~ spl2_17
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f516,f323,f148,f640]) ).
tff(f148,plain,
( spl2_17
<=> ! [X0: array,X3: $int,X2: $int,X1: $int] :
( ( read(X0,X2) = read(write(X0,X1,X3),X2) )
| ( X1 = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
tff(f323,plain,
( spl2_31
<=> ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK1,3,33),4,444),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
tff(f516,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) )
| ~ spl2_17
| ~ spl2_31 ),
inference(duplicate_literal_removal,[],[f512]) ).
tff(f512,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 )
| ( 4 = X0 ) )
| ~ spl2_17
| ~ spl2_31 ),
inference(superposition,[],[f324,f149]) ).
tff(f149,plain,
( ! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(X0,X2) = read(write(X0,X1,X3),X2) )
| ( X1 = X2 ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f148]) ).
tff(f324,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK1,3,33),4,444),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f323]) ).
tff(f638,plain,
( spl2_41
| ~ spl2_13
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f132,f126,f92,f636]) ).
tff(f636,plain,
( spl2_41
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X1,X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
tff(f92,plain,
( spl2_13
<=> ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
tff(f132,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X1,X0)),X2) )
| ~ spl2_13
| ~ spl2_16 ),
inference(superposition,[],[f127,f93]) ).
tff(f93,plain,
( ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f92]) ).
tff(f554,plain,
( spl2_40
| ~ spl2_13
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f124,f101,f92,f552]) ).
tff(f552,plain,
( spl2_40
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
tff(f124,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) )
| ~ spl2_13
| ~ spl2_15 ),
inference(superposition,[],[f102,f93]) ).
tff(f550,plain,
( spl2_39
| ~ spl2_13
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f120,f101,f92,f548]) ).
tff(f548,plain,
( spl2_39
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).
tff(f120,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) )
| ~ spl2_13
| ~ spl2_15 ),
inference(superposition,[],[f102,f93]) ).
tff(f546,plain,
( spl2_38
| ~ spl2_11
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f116,f101,f74,f544]) ).
tff(f544,plain,
( spl2_38
<=> ! [X0: $int,X3: $int,X2: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
tff(f116,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X1,X3)) )
| ~ spl2_11
| ~ spl2_15 ),
inference(resolution,[],[f102,f75]) ).
tff(f542,plain,
( spl2_37
| ~ spl2_9
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f84,f78,f59,f540]) ).
tff(f540,plain,
( spl2_37
<=> ! [X0: $int,X1: $int] :
( $less($sum(X1,1),X0)
| ( $sum(X1,1) = X0 )
| ~ $less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
tff(f59,plain,
( spl2_9
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
tff(f78,plain,
( spl2_12
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
tff(f84,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X1,1),X0)
| ( $sum(X1,1) = X0 )
| ~ $less(X1,X0) )
| ~ spl2_9
| ~ spl2_12 ),
inference(resolution,[],[f79,f60]) ).
tff(f60,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f79,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f78]) ).
tff(f477,plain,
( spl2_36
| ~ spl2_8
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f143,f126,f55,f475]) ).
tff(f55,plain,
( spl2_8
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
tff(f143,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| $less($sum(X0,X1),X2) )
| ~ spl2_8
| ~ spl2_16 ),
inference(superposition,[],[f56,f127]) ).
tff(f56,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f473,plain,
( spl2_35
| ~ spl2_9
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f142,f126,f59,f471]) ).
tff(f142,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less($sum(X0,X1),X2) )
| ~ spl2_9
| ~ spl2_16 ),
inference(superposition,[],[f60,f127]) ).
tff(f469,plain,
( spl2_34
| ~ spl2_11
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f85,f78,f74,f467]) ).
tff(f467,plain,
( spl2_34
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| ~ $less(X2,X0)
| $less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).
tff(f85,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| ~ $less(X2,X0)
| $less(X2,X1) )
| ~ spl2_11
| ~ spl2_12 ),
inference(resolution,[],[f79,f75]) ).
tff(f333,plain,
( spl2_33
| ~ spl2_7
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f135,f126,f51,f331]) ).
tff(f135,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) )
| ~ spl2_7
| ~ spl2_16 ),
inference(superposition,[],[f127,f52]) ).
tff(f329,plain,
( spl2_32
| ~ spl2_7
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f130,f126,f51,f327]) ).
tff(f130,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) )
| ~ spl2_7
| ~ spl2_16 ),
inference(superposition,[],[f127,f52]) ).
tff(f325,plain,
( spl2_31
| ~ spl2_17
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f160,f156,f148,f323]) ).
tff(f156,plain,
( spl2_18
<=> ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(write(sK1,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
tff(f160,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK1,3,33),4,444),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) )
| ~ spl2_17
| ~ spl2_18 ),
inference(superposition,[],[f157,f149]) ).
tff(f157,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(write(sK1,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f156]) ).
tff(f321,plain,
( spl2_30
| ~ spl2_8
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f81,f74,f55,f319]) ).
tff(f319,plain,
( spl2_30
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1))
| $less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
tff(f81,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1))
| $less(X2,X1) )
| ~ spl2_8
| ~ spl2_11 ),
inference(resolution,[],[f75,f56]) ).
tff(f262,plain,
( spl2_29
| ~ spl2_6
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f134,f126,f47,f260]) ).
tff(f260,plain,
( spl2_29
<=> ! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
tff(f134,plain,
( ! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) )
| ~ spl2_6
| ~ spl2_16 ),
inference(superposition,[],[f127,f48]) ).
tff(f258,plain,
( spl2_28
| ~ spl2_7
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f122,f101,f51,f256]) ).
tff(f256,plain,
( spl2_28
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
tff(f122,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) )
| ~ spl2_7
| ~ spl2_15 ),
inference(superposition,[],[f102,f52]) ).
tff(f254,plain,
( spl2_27
| ~ spl2_7
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f118,f101,f51,f252]) ).
tff(f118,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) )
| ~ spl2_7
| ~ spl2_15 ),
inference(superposition,[],[f102,f52]) ).
tff(f250,plain,
( spl2_26
| ~ spl2_7
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f105,f92,f51,f248]) ).
tff(f248,plain,
( spl2_26
<=> ! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
tff(f105,plain,
( ! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) )
| ~ spl2_7
| ~ spl2_13 ),
inference(superposition,[],[f93,f52]) ).
tff(f230,plain,
( spl2_25
| ~ spl2_6
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f121,f101,f47,f228]) ).
tff(f228,plain,
( spl2_25
<=> ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
tff(f121,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) )
| ~ spl2_6
| ~ spl2_15 ),
inference(superposition,[],[f102,f48]) ).
tff(f226,plain,
( spl2_24
| ~ spl2_6
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f117,f101,f47,f224]) ).
tff(f117,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) )
| ~ spl2_6
| ~ spl2_15 ),
inference(superposition,[],[f102,f48]) ).
tff(f190,plain,
( spl2_23
| ~ spl2_6
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f144,f126,f47,f188]) ).
tff(f144,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 )
| ~ spl2_6
| ~ spl2_16 ),
inference(evaluation,[],[f129]) ).
tff(f129,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = $sum(0,X1) )
| ~ spl2_6
| ~ spl2_16 ),
inference(superposition,[],[f127,f48]) ).
tff(f186,plain,
( spl2_22
| ~ spl2_7
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f70,f59,f51,f184]) ).
tff(f70,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) )
| ~ spl2_7
| ~ spl2_9 ),
inference(superposition,[],[f60,f52]) ).
tff(f182,plain,
( spl2_21
| ~ spl2_7
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f67,f55,f51,f180]) ).
tff(f67,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) )
| ~ spl2_7
| ~ spl2_8 ),
inference(superposition,[],[f56,f52]) ).
tff(f173,plain,
( spl2_20
| ~ spl2_2
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f66,f55,f30,f171]) ).
tff(f30,plain,
( spl2_2
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f66,plain,
( ! [X0: $int] : $less(X0,$sum(X0,1))
| ~ spl2_2
| ~ spl2_8 ),
inference(resolution,[],[f56,f31]) ).
tff(f31,plain,
( ! [X0: $int] : ~ $less(X0,X0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f169,plain,
( spl2_19
| ~ spl2_10
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f164,f156,f63,f166]) ).
tff(f166,plain,
( spl2_19
<=> ( 55 = read(sK0,5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
tff(f164,plain,
( ( 55 = read(sK0,5) )
| ~ spl2_10
| ~ spl2_18 ),
inference(evaluation,[],[f159]) ).
tff(f159,plain,
( ( 55 = read(sK0,5) )
| ( 4 = 5 )
| ~ spl2_10
| ~ spl2_18 ),
inference(superposition,[],[f157,f64]) ).
tff(f158,plain,
( spl2_18
| ~ spl2_3
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f151,f148,f34,f156]) ).
tff(f34,plain,
( spl2_3
<=> ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f151,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(write(sK1,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) )
| ~ spl2_3
| ~ spl2_17 ),
inference(superposition,[],[f149,f36]) ).
tff(f36,plain,
( ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f150,plain,
spl2_17,
inference(avatar_split_clause,[],[f24,f148]) ).
tff(f24,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(X0,X2) = read(write(X0,X1,X3),X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( read(X0,X2) = read(write(X0,X1,X3),X2) )
| ( X1 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X3: array,X4: $int,X5: $int,X6: $int] :
( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
| ( X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f128,plain,
spl2_16,
inference(avatar_split_clause,[],[f6,f126]) ).
tff(f6,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f103,plain,
spl2_15,
inference(avatar_split_clause,[],[f13,f101]) ).
tff(f13,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f99,plain,
( spl2_14
| ~ spl2_3
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f72,f63,f34,f96]) ).
tff(f96,plain,
( spl2_14
<=> ( 44 = read(sK0,4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
tff(f72,plain,
( ( 44 = read(sK0,4) )
| ~ spl2_3
| ~ spl2_10 ),
inference(superposition,[],[f64,f36]) ).
tff(f94,plain,
spl2_13,
inference(avatar_split_clause,[],[f8,f92]) ).
tff(f8,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f80,plain,
spl2_12,
inference(avatar_split_clause,[],[f12,f78]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f76,plain,
spl2_11,
inference(avatar_split_clause,[],[f11,f74]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f65,plain,
spl2_10,
inference(avatar_split_clause,[],[f23,f63]) ).
tff(f23,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f61,plain,
spl2_9,
inference(avatar_split_clause,[],[f16,f59]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f57,plain,
spl2_8,
inference(avatar_split_clause,[],[f14,f55]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f53,plain,
spl2_7,
inference(avatar_split_clause,[],[f5,f51]) ).
tff(f5,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f49,plain,
spl2_6,
inference(avatar_split_clause,[],[f9,f47]) ).
tff(f9,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f45,plain,
spl2_5,
inference(avatar_split_clause,[],[f15,f43]) ).
tff(f43,plain,
( spl2_5
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f15,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f41,plain,
spl2_4,
inference(avatar_split_clause,[],[f7,f39]) ).
tff(f39,plain,
( spl2_4
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f7,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f37,plain,
spl2_3,
inference(avatar_split_clause,[],[f21,f34]) ).
tff(f21,plain,
sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ! [X2: $int] :
( ~ $less(30,read(sK0,X2))
| ~ $less(read(sK0,X2),40) )
& ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: array,X1: array] :
( ! [X2: $int] :
( ~ $less(30,read(X0,X2))
| ~ $less(read(X0,X2),40) )
& ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 ) )
=> ( ! [X2: $int] :
( ~ $less(30,read(sK0,X2))
| ~ $less(read(sK0,X2),40) )
& ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: array,X1: array] :
( ! [X2: $int] :
( ~ $less(30,read(X0,X2))
| ~ $less(read(X0,X2),40) )
& ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: array] :
( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
=> ? [X2: $int] :
( $less(30,read(X0,X2))
& $less(read(X0,X2),40) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array,X1: array] :
( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
=> ? [X2: $int] :
( $less(30,read(X0,X2))
& $less(read(X0,X2),40) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f32,plain,
spl2_2,
inference(avatar_split_clause,[],[f10,f30]) ).
tff(f10,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f28,plain,
spl2_1,
inference(avatar_split_clause,[],[f22,f26]) ).
tff(f22,plain,
! [X2: $int] :
( ~ $less(30,read(sK0,X2))
| ~ $less(read(sK0,X2),40) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : DAT007_1 : TPTP v8.2.0. Released v5.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 23:12:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (23401)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (23404)WARNING: value z3 for option sas not known
% 0.14/0.37 % (23405)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (23404)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (23406)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (23403)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (23402)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (23405)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (23405)Terminated due to inappropriate strategy.
% 0.14/0.37 % (23405)------------------------------
% 0.14/0.37 % (23405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (23405)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (23402)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (23405)Memory used [KB]: 741
% 0.14/0.37 % (23405)Time elapsed: 0.002 s
% 0.14/0.37 % (23405)Instructions burned: 2 (million)
% 0.14/0.37 % (23403)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (23403)Terminated due to inappropriate strategy.
% 0.14/0.37 % (23403)------------------------------
% 0.14/0.37 % (23403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (23402)Terminated due to inappropriate strategy.
% 0.14/0.37 % (23402)------------------------------
% 0.14/0.37 % (23402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (23402)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (23402)Memory used [KB]: 741
% 0.14/0.37 % (23402)Time elapsed: 0.002 s
% 0.14/0.37 % (23402)Instructions burned: 2 (million)
% 0.14/0.37 % (23403)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (23403)Memory used [KB]: 742
% 0.14/0.37 % (23403)Time elapsed: 0.003 s
% 0.14/0.37 % (23403)Instructions burned: 2 (million)
% 0.14/0.37 % (23405)------------------------------
% 0.14/0.37 % (23405)------------------------------
% 0.14/0.37 % (23402)------------------------------
% 0.14/0.37 % (23402)------------------------------
% 0.14/0.37 % (23403)------------------------------
% 0.14/0.37 % (23403)------------------------------
% 0.14/0.37 % (23407)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (23408)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (23409)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.39 % (23410)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.14/0.39 % (23411)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.14/0.39 % (23409)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (23409)Terminated due to inappropriate strategy.
% 0.14/0.39 % (23409)------------------------------
% 0.14/0.39 % (23409)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (23409)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (23409)Memory used [KB]: 741
% 0.14/0.39 % (23409)Time elapsed: 0.002 s
% 0.14/0.39 % (23409)Instructions burned: 2 (million)
% 0.14/0.39 % (23409)------------------------------
% 0.14/0.39 % (23409)------------------------------
% 0.21/0.41 % (23412)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.21/0.42 % (23406)First to succeed.
% 0.21/0.42 % (23406)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23401"
% 0.21/0.42 % (23406)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (23406)------------------------------
% 0.21/0.42 % (23406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42 % (23406)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (23406)Memory used [KB]: 1326
% 0.21/0.42 % (23406)Time elapsed: 0.051 s
% 0.21/0.42 % (23406)Instructions burned: 82 (million)
% 0.21/0.42 % (23401)Success in time 0.053 s
%------------------------------------------------------------------------------