TSTP Solution File: DAT043_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT043_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n001.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 : Wed Aug 31 16:03:59 EDT 2022
% Result : Theorem 6.84s 1.23s
% Output : Refutation 6.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 128
% Syntax : Number of formulae : 593 ( 35 unt; 12 typ; 0 def)
% Number of atoms : 1655 ( 419 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1771 ( 697 ~; 886 |; 66 &)
% ( 115 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 919 ( 86 atm; 188 fun; 265 num; 380 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 108 ( 103 usr; 101 prp; 0-2 aty)
% Number of functors : 17 ( 8 usr; 11 con; 0-2 aty)
% Number of variables : 448 ( 432 !; 16 ?; 448 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_10,type,
sK0: $int ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: $int ).
tff(func_def_13,type,
sK3: collection ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(pred_def_5,type,
sP4: collection > $o ).
tff(pred_def_6,type,
sP5: $int > $o ).
tff(f2981,plain,
$false,
inference(avatar_smt_refutation,[],[f94,f99,f104,f109,f114,f119,f131,f136,f141,f146,f151,f163,f168,f173,f178,f183,f195,f200,f205,f210,f215,f253,f259,f266,f275,f293,f298,f299,f305,f319,f329,f335,f344,f346,f362,f364,f369,f374,f379,f381,f386,f391,f393,f398,f403,f420,f422,f424,f429,f431,f437,f439,f441,f443,f456,f462,f464,f475,f481,f483,f489,f503,f579,f584,f603,f608,f609,f629,f630,f636,f644,f645,f831,f870,f1048,f1053,f1058,f1249,f1264,f1282,f1306,f1418,f1419,f1420,f1830,f1835,f1839,f1843,f1845,f1846,f1850,f1854,f1858,f1862,f1866,f1868,f1872,f1873,f1878,f1882,f1887,f1888,f1892,f1896,f1899,f1900,f1904,f1909,f1913,f1917,f1921,f1922,f1927,f1929,f1933,f2088,f2093,f2098,f2538,f2539,f2870,f2874,f2913,f2921,f2942,f2943,f2976,f2980]) ).
tff(f2980,plain,
( spl6_99
| spl6_100
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f2970,f2868,f2978,f2973]) ).
tff(f2973,plain,
( spl6_99
<=> $less(0,$sum(-2,count(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).
tff(f2978,plain,
( spl6_100
<=> ! [X1: $int] :
( ( sK0 = X1 )
| ~ in(X1,sK3)
| ( sK2 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).
tff(f2868,plain,
( spl6_95
<=> ! [X4: $int] :
( ( sK2 = X4 )
| ( sK0 = X4 )
| $less(0,$sum(count(remove(X4,sK3)),-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
tff(f2970,plain,
( ! [X1: $int] :
( ( sK0 = X1 )
| $less(0,$sum(-2,count(sK3)))
| ( sK2 = X1 )
| ~ in(X1,sK3) )
| ~ spl6_95 ),
inference(evaluation,[],[f2964]) ).
tff(f2964,plain,
( ! [X1: $int] :
( $less(0,$sum($sum(count(sK3),-1),-1))
| ~ in(X1,sK3)
| ( sK2 = X1 )
| ( sK0 = X1 ) )
| ~ spl6_95 ),
inference(superposition,[],[f2869,f86]) ).
tff(f86,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( $sum(count(X0),-1) = count(remove(X1,X0)) ) ),
inference(evaluation,[],[f69]) ).
tff(f69,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: collection,X1: $int] :
( ( in(X1,X0)
| ( $sum(count(X0),$uminus(1)) != count(remove(X1,X0)) ) )
& ( ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) )
| ~ in(X1,X0) ) ),
inference(rectify,[],[f45]) ).
tff(f45,plain,
! [X1: collection,X0: $int] :
( ( in(X0,X1)
| ( $sum(count(X1),$uminus(1)) != count(remove(X0,X1)) ) )
& ( ( $sum(count(X1),$uminus(1)) = count(remove(X0,X1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X1: collection,X0: $int] :
( in(X0,X1)
<=> ( $sum(count(X1),$uminus(1)) = count(remove(X0,X1)) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f2869,plain,
( ! [X4: $int] :
( $less(0,$sum(count(remove(X4,sK3)),-1))
| ( sK0 = X4 )
| ( sK2 = X4 ) )
| ~ spl6_95 ),
inference(avatar_component_clause,[],[f2868]) ).
tff(f2976,plain,
( spl6_59
| spl6_97
| spl6_99
| ~ spl6_21
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f2971,f2868,f212,f2973,f2915,f1055]) ).
tff(f1055,plain,
( spl6_59
<=> ( sK2 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
tff(f2915,plain,
( spl6_97
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).
tff(f212,plain,
( spl6_21
<=> ( count(remove(sK1,sK3)) = $sum(count(sK3),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
tff(f2971,plain,
( $less(0,$sum(-2,count(sK3)))
| ( sK0 = sK1 )
| ( sK2 = sK1 )
| ~ spl6_21
| ~ spl6_95 ),
inference(evaluation,[],[f2966]) ).
tff(f2966,plain,
( ( sK2 = sK1 )
| $less(0,$sum($sum(count(sK3),-1),-1))
| ( sK0 = sK1 )
| ~ spl6_21
| ~ spl6_95 ),
inference(superposition,[],[f2869,f214]) ).
tff(f214,plain,
( ( count(remove(sK1,sK3)) = $sum(count(sK3),-1) )
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f212]) ).
tff(f2943,plain,
( spl6_97
| spl6_98
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f2937,f101,f96,f2919,f2915]) ).
tff(f2919,plain,
( spl6_98
<=> ! [X5: $int] :
( $less(0,$sum(count(remove(X5,sK3)),-1))
| ( sK0 = X5 )
| ( sK1 = X5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
tff(f96,plain,
( spl6_2
<=> in(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f101,plain,
( spl6_3
<=> in(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
tff(f2937,plain,
( ! [X4: $int] :
( ( sK0 = X4 )
| $less(0,$sum(count(remove(X4,sK3)),-1))
| ( sK0 = sK1 )
| ( sK1 = X4 ) )
| ~ spl6_2
| ~ spl6_3 ),
inference(superposition,[],[f2931,f531]) ).
tff(f531,plain,
( ! [X9: $int] :
( ( $sum(count(remove(X9,sK3)),-1) = count(remove(sK0,remove(X9,sK3))) )
| ( sK0 = X9 ) )
| ~ spl6_2 ),
inference(resolution,[],[f153,f86]) ).
tff(f153,plain,
( ! [X0: $int] :
( in(sK0,remove(X0,sK3))
| ( sK0 = X0 ) )
| ~ spl6_2 ),
inference(resolution,[],[f98,f60]) ).
tff(f60,plain,
! [X2: $int,X0: collection,X1: $int] :
( ~ in(X2,X0)
| ( X1 = X2 )
| in(X2,remove(X1,X0)) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( ( ( X1 != X2 )
& in(X2,X0) )
| ~ in(X2,remove(X1,X0)) )
& ( in(X2,remove(X1,X0))
| ( X1 = X2 )
| ~ in(X2,X0) ) ),
inference(rectify,[],[f39]) ).
tff(f39,plain,
! [X1: collection,X2: $int,X0: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(flattening,[],[f38]) ).
tff(f38,plain,
! [X1: collection,X2: $int,X0: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X1: collection,X2: $int,X0: $int] :
( ( ( X0 != X2 )
& in(X0,X1) )
<=> in(X0,remove(X2,X1)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: $int,X9: collection,X10: $int] :
( in(X8,remove(X10,X9))
<=> ( in(X8,X9)
& ( X8 != X10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f98,plain,
( in(sK0,sK3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f96]) ).
tff(f2931,plain,
( ! [X14: $int,X15: $int] :
( $less(0,count(remove(X14,remove(X15,sK3))))
| ( sK1 = X15 )
| ( sK1 = X14 ) )
| ~ spl6_3 ),
inference(evaluation,[],[f2930]) ).
tff(f2930,plain,
( ! [X14: $int,X15: $int] :
( ( sK1 = X15 )
| $less(0,$sum(1,$sum(count(remove(X14,remove(X15,sK3))),-1)))
| ( sK1 = X14 ) )
| ~ spl6_3 ),
inference(superposition,[],[f85,f921]) ).
tff(f921,plain,
( ! [X18: $int,X19: $int] :
( ( $sum(count(remove(X18,remove(X19,sK3))),-1) = count(remove(sK1,remove(X18,remove(X19,sK3)))) )
| ( sK1 = X18 )
| ( sK1 = X19 ) )
| ~ spl6_3 ),
inference(resolution,[],[f552,f86]) ).
tff(f552,plain,
( ! [X2: $int,X3: $int] :
( in(sK1,remove(X3,remove(X2,sK3)))
| ( sK1 = X3 )
| ( sK1 = X2 ) )
| ~ spl6_3 ),
inference(resolution,[],[f185,f60]) ).
tff(f185,plain,
( ! [X0: $int] :
( in(sK1,remove(X0,sK3))
| ( sK1 = X0 ) )
| ~ spl6_3 ),
inference(resolution,[],[f103,f60]) ).
tff(f103,plain,
( in(sK1,sK3)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f101]) ).
tff(f85,plain,
! [X0: collection] : $less(0,$sum(1,count(X0))),
inference(evaluation,[],[f71]) ).
tff(f71,plain,
! [X0: collection] : ~ $less(count(X0),0),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: collection] : ~ $less(count(X0),0),
inference(rectify,[],[f15]) ).
tff(f15,plain,
! [X11: collection] : ~ $less(count(X11),0),
inference(theory_normalization,[],[f6]) ).
tff(f6,axiom,
! [X11: collection] : $greatereq(count(X11),0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f2942,plain,
( spl6_59
| spl6_96
| ~ spl6_1
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f2939,f101,f91,f2872,f1055]) ).
tff(f2872,plain,
( spl6_96
<=> ! [X5: $int] :
( $less(0,$sum(count(remove(X5,sK3)),-1))
| ( sK2 = X5 )
| ( sK1 = X5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
tff(f91,plain,
( spl6_1
<=> in(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f2939,plain,
( ! [X6: $int] :
( $less(0,$sum(count(remove(X6,sK3)),-1))
| ( sK2 = X6 )
| ( sK2 = sK1 )
| ( sK1 = X6 ) )
| ~ spl6_1
| ~ spl6_3 ),
inference(superposition,[],[f2931,f521]) ).
tff(f521,plain,
( ! [X9: $int] :
( ( count(remove(sK2,remove(X9,sK3))) = $sum(count(remove(X9,sK3)),-1) )
| ( sK2 = X9 ) )
| ~ spl6_1 ),
inference(resolution,[],[f121,f86]) ).
tff(f121,plain,
( ! [X0: $int] :
( in(sK2,remove(X0,sK3))
| ( sK2 = X0 ) )
| ~ spl6_1 ),
inference(resolution,[],[f93,f60]) ).
tff(f93,plain,
( in(sK2,sK3)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f91]) ).
tff(f2921,plain,
( spl6_97
| spl6_98
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f2909,f101,f96,f2919,f2915]) ).
tff(f2909,plain,
( ! [X5: $int] :
( $less(0,$sum(count(remove(X5,sK3)),-1))
| ( sK1 = X5 )
| ( sK0 = sK1 )
| ( sK0 = X5 ) )
| ~ spl6_2
| ~ spl6_3 ),
inference(superposition,[],[f2894,f557]) ).
tff(f557,plain,
( ! [X9: $int] :
( ( count(remove(sK1,remove(X9,sK3))) = $sum(count(remove(X9,sK3)),-1) )
| ( sK1 = X9 ) )
| ~ spl6_3 ),
inference(resolution,[],[f185,f86]) ).
tff(f2894,plain,
( ! [X14: $int,X15: $int] :
( $less(0,count(remove(X14,remove(X15,sK3))))
| ( sK0 = X15 )
| ( sK0 = X14 ) )
| ~ spl6_2 ),
inference(evaluation,[],[f2892]) ).
tff(f2892,plain,
( ! [X14: $int,X15: $int] :
( ( sK0 = X15 )
| ( sK0 = X14 )
| $less(0,$sum(1,$sum(count(remove(X14,remove(X15,sK3))),-1))) )
| ~ spl6_2 ),
inference(superposition,[],[f85,f911]) ).
tff(f911,plain,
( ! [X18: $int,X19: $int] :
( ( count(remove(sK0,remove(X19,remove(X18,sK3)))) = $sum(count(remove(X19,remove(X18,sK3))),-1) )
| ( sK0 = X18 )
| ( sK0 = X19 ) )
| ~ spl6_2 ),
inference(resolution,[],[f526,f86]) ).
tff(f526,plain,
( ! [X2: $int,X3: $int] :
( in(sK0,remove(X3,remove(X2,sK3)))
| ( sK0 = X2 )
| ( sK0 = X3 ) )
| ~ spl6_2 ),
inference(resolution,[],[f153,f60]) ).
tff(f2913,plain,
( spl6_58
| spl6_95
| ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f2910,f96,f91,f2868,f1050]) ).
tff(f1050,plain,
( spl6_58
<=> ( sK0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
tff(f2910,plain,
( ! [X6: $int] :
( $less(0,$sum(count(remove(X6,sK3)),-1))
| ( sK0 = X6 )
| ( sK2 = X6 )
| ( sK0 = sK2 ) )
| ~ spl6_1
| ~ spl6_2 ),
inference(superposition,[],[f2894,f521]) ).
tff(f2874,plain,
( spl6_59
| spl6_96
| ~ spl6_1
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f2863,f101,f91,f2872,f1055]) ).
tff(f2863,plain,
( ! [X5: $int] :
( $less(0,$sum(count(remove(X5,sK3)),-1))
| ( sK1 = X5 )
| ( sK2 = sK1 )
| ( sK2 = X5 ) )
| ~ spl6_1
| ~ spl6_3 ),
inference(superposition,[],[f2857,f557]) ).
tff(f2857,plain,
( ! [X14: $int,X15: $int] :
( $less(0,count(remove(X14,remove(X15,sK3))))
| ( sK2 = X15 )
| ( sK2 = X14 ) )
| ~ spl6_1 ),
inference(evaluation,[],[f2855]) ).
tff(f2855,plain,
( ! [X14: $int,X15: $int] :
( $less(0,$sum(1,$sum(count(remove(X14,remove(X15,sK3))),-1)))
| ( sK2 = X14 )
| ( sK2 = X15 ) )
| ~ spl6_1 ),
inference(superposition,[],[f85,f901]) ).
tff(f901,plain,
( ! [X18: $int,X19: $int] :
( ( count(remove(sK2,remove(X18,remove(X19,sK3)))) = $sum(count(remove(X18,remove(X19,sK3))),-1) )
| ( sK2 = X18 )
| ( sK2 = X19 ) )
| ~ spl6_1 ),
inference(resolution,[],[f516,f86]) ).
tff(f516,plain,
( ! [X2: $int,X3: $int] :
( in(sK2,remove(X3,remove(X2,sK3)))
| ( sK2 = X3 )
| ( sK2 = X2 ) )
| ~ spl6_1 ),
inference(resolution,[],[f121,f60]) ).
tff(f2870,plain,
( spl6_58
| spl6_95
| ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f2862,f96,f91,f2868,f1050]) ).
tff(f2862,plain,
( ! [X4: $int] :
( ( sK2 = X4 )
| $less(0,$sum(count(remove(X4,sK3)),-1))
| ( sK0 = X4 )
| ( sK0 = sK2 ) )
| ~ spl6_1
| ~ spl6_2 ),
inference(superposition,[],[f2857,f531]) ).
tff(f2539,plain,
( spl6_59
| spl6_94
| ~ spl6_1
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f2531,f101,f91,f2536,f1055]) ).
tff(f2536,plain,
( spl6_94
<=> ! [X4: $int] : $less(0,$sum(count(add(X4,sK3)),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
tff(f2531,plain,
( ! [X5: $int] :
( $less(0,$sum(count(add(X5,sK3)),-1))
| ( sK2 = sK1 ) )
| ~ spl6_1
| ~ spl6_3 ),
inference(superposition,[],[f2516,f239]) ).
tff(f239,plain,
( ! [X9: $int] : ( count(remove(sK1,add(X9,sK3))) = $sum(count(add(X9,sK3)),-1) )
| ~ spl6_3 ),
inference(resolution,[],[f187,f86]) ).
tff(f187,plain,
( ! [X1: $int] : in(sK1,add(X1,sK3))
| ~ spl6_3 ),
inference(resolution,[],[f103,f67]) ).
tff(f67,plain,
! [X2: collection,X0: $int,X1: $int] :
( ~ in(X1,X2)
| in(X1,add(X0,X2)) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: $int,X1: $int,X2: collection] :
( ( in(X1,add(X0,X2))
| ( ( X0 != X1 )
& ~ in(X1,X2) ) )
& ( ( X0 = X1 )
| in(X1,X2)
| ~ in(X1,add(X0,X2)) ) ),
inference(flattening,[],[f43]) ).
tff(f43,plain,
! [X0: $int,X1: $int,X2: collection] :
( ( in(X1,add(X0,X2))
| ( ( X0 != X1 )
& ~ in(X1,X2) ) )
& ( ( X0 = X1 )
| in(X1,X2)
| ~ in(X1,add(X0,X2)) ) ),
inference(nnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: $int,X1: $int,X2: collection] :
( in(X1,add(X0,X2))
<=> ( ( X0 = X1 )
| in(X1,X2) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X7: $int,X5: $int,X6: collection] :
( in(X5,add(X7,X6))
<=> ( in(X5,X6)
| ( X5 = X7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f2516,plain,
( ! [X14: $int,X15: $int] :
( $less(0,count(remove(X14,add(X15,sK3))))
| ( sK2 = X14 ) )
| ~ spl6_1 ),
inference(evaluation,[],[f2514]) ).
tff(f2514,plain,
( ! [X14: $int,X15: $int] :
( ( sK2 = X14 )
| $less(0,$sum(1,$sum(count(remove(X14,add(X15,sK3))),-1))) )
| ~ spl6_1 ),
inference(superposition,[],[f85,f677]) ).
tff(f677,plain,
( ! [X16: $int,X17: $int] :
( ( $sum(count(remove(X16,add(X17,sK3))),-1) = count(remove(sK2,remove(X16,add(X17,sK3)))) )
| ( sK2 = X16 ) )
| ~ spl6_1 ),
inference(resolution,[],[f218,f86]) ).
tff(f218,plain,
( ! [X2: $int,X3: $int] :
( in(sK2,remove(X2,add(X3,sK3)))
| ( sK2 = X2 ) )
| ~ spl6_1 ),
inference(resolution,[],[f123,f60]) ).
tff(f123,plain,
( ! [X1: $int] : in(sK2,add(X1,sK3))
| ~ spl6_1 ),
inference(resolution,[],[f93,f67]) ).
tff(f2538,plain,
( spl6_94
| spl6_58
| ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f2530,f96,f91,f1050,f2536]) ).
tff(f2530,plain,
( ! [X4: $int] :
( ( sK0 = sK2 )
| $less(0,$sum(count(add(X4,sK3)),-1)) )
| ~ spl6_1
| ~ spl6_2 ),
inference(superposition,[],[f2516,f231]) ).
tff(f231,plain,
( ! [X9: $int] : ( count(remove(sK0,add(X9,sK3))) = $sum(count(add(X9,sK3)),-1) )
| ~ spl6_2 ),
inference(resolution,[],[f155,f86]) ).
tff(f155,plain,
( ! [X1: $int] : in(sK0,add(X1,sK3))
| ~ spl6_2 ),
inference(resolution,[],[f98,f67]) ).
tff(f2098,plain,
( spl6_91
| spl6_93
| spl6_58
| ~ spl6_1
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f2078,f170,f91,f1050,f2095,f2085]) ).
tff(f2085,plain,
( spl6_91
<=> sP5($sum(-2,count(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).
tff(f2095,plain,
( spl6_93
<=> ( empty = remove(sK2,remove(sK0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
tff(f170,plain,
( spl6_14
<=> ( count(remove(sK0,sK3)) = $sum(count(sK3),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
tff(f2078,plain,
( ( sK0 = sK2 )
| ( empty = remove(sK2,remove(sK0,sK3)) )
| sP5($sum(-2,count(sK3)))
| ~ spl6_1
| ~ spl6_14 ),
inference(evaluation,[],[f2073]) ).
tff(f2073,plain,
( ( sK0 = sK2 )
| sP5($sum($sum(count(sK3),-1),-1))
| ( empty = remove(sK2,remove(sK0,sK3)) )
| ~ spl6_1
| ~ spl6_14 ),
inference(superposition,[],[f1019,f172]) ).
tff(f172,plain,
( ( count(remove(sK0,sK3)) = $sum(count(sK3),-1) )
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f170]) ).
tff(f1019,plain,
( ! [X6: $int] :
( sP5($sum(count(remove(X6,sK3)),-1))
| ( sK2 = X6 )
| ( empty = remove(sK2,remove(X6,sK3)) ) )
| ~ spl6_1 ),
inference(superposition,[],[f81,f521]) ).
tff(f81,plain,
! [X0: collection] :
( ( empty = X0 )
| sP5(count(X0)) ),
inference(inequality_splitting,[],[f63,f80]) ).
tff(f80,plain,
~ sP5(0),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
tff(f63,plain,
! [X0: collection] :
( ( empty = X0 )
| ( 0 != count(X0) ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: collection] :
( ( ( 0 = count(X0) )
| ( empty != X0 ) )
& ( ( empty = X0 )
| ( 0 != count(X0) ) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: collection] :
( ( 0 = count(X0) )
<=> ( empty = X0 ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X12: collection] :
( ( 0 = count(X12) )
<=> ( empty = X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f2093,plain,
( spl6_59
| spl6_92
| spl6_91
| ~ spl6_1
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f2079,f212,f91,f2085,f2090,f1055]) ).
tff(f2090,plain,
( spl6_92
<=> ( empty = remove(sK2,remove(sK1,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
tff(f2079,plain,
( sP5($sum(-2,count(sK3)))
| ( empty = remove(sK2,remove(sK1,sK3)) )
| ( sK2 = sK1 )
| ~ spl6_1
| ~ spl6_21 ),
inference(evaluation,[],[f2074]) ).
tff(f2074,plain,
( sP5($sum($sum(count(sK3),-1),-1))
| ( empty = remove(sK2,remove(sK1,sK3)) )
| ( sK2 = sK1 )
| ~ spl6_1
| ~ spl6_21 ),
inference(superposition,[],[f1019,f214]) ).
tff(f2088,plain,
( spl6_90
| spl6_91
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f2080,f91,f2085,f2082]) ).
tff(f2082,plain,
( spl6_90
<=> ! [X1: $int] :
( ( empty = remove(sK2,remove(X1,sK3)) )
| ~ in(X1,sK3)
| ( sK2 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).
tff(f2080,plain,
( ! [X1: $int] :
( sP5($sum(-2,count(sK3)))
| ( empty = remove(sK2,remove(X1,sK3)) )
| ( sK2 = X1 )
| ~ in(X1,sK3) )
| ~ spl6_1 ),
inference(evaluation,[],[f2072]) ).
tff(f2072,plain,
( ! [X1: $int] :
( ( sK2 = X1 )
| ( empty = remove(sK2,remove(X1,sK3)) )
| ~ in(X1,sK3)
| sP5($sum($sum(count(sK3),-1),-1)) )
| ~ spl6_1 ),
inference(superposition,[],[f1019,f86]) ).
tff(f1933,plain,
( spl6_67
| spl6_89
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1811,f1243,f96,f1931,f1824]) ).
tff(f1824,plain,
( spl6_67
<=> ! [X25: $int] : ( count(add(X25,sK3)) = count(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
tff(f1931,plain,
( spl6_89
<=> ! [X61: $int,X60: $int] :
( ( sK0 = X61 )
| in(sK0,add(X60,remove(X61,empty))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
tff(f1243,plain,
( spl6_60
<=> ! [X0: $int] :
( in(X0,sK3)
| ( empty = add(sK2,add(X0,sK3)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
tff(f1811,plain,
( ! [X59: $int,X60: $int,X61: $int] :
( ( sK0 = X61 )
| ( count(add(X59,sK3)) = count(sK3) )
| in(sK0,add(X60,remove(X61,empty))) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f1150,f1266]) ).
tff(f1266,plain,
( ! [X0: $int] :
( ( empty = add(sK2,add(X0,sK3)) )
| ( count(sK3) = count(add(X0,sK3)) ) )
| ~ spl6_60 ),
inference(resolution,[],[f1244,f58]) ).
tff(f58,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
| ( count(X1) = count(add(X0,X1)) ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(X1) != count(add(X0,X1)) ) )
& ( ( count(X1) = count(add(X0,X1)) )
| ~ in(X0,X1) ) ),
inference(rectify,[],[f36]) ).
tff(f36,plain,
! [X1: $int,X0: collection] :
( ( in(X1,X0)
| ( count(X0) != count(add(X1,X0)) ) )
& ( ( count(X0) = count(add(X1,X0)) )
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X1: $int,X0: collection] :
( in(X1,X0)
<=> ( count(X0) = count(add(X1,X0)) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X16: collection,X15: $int] :
( ( count(add(X15,X16)) = count(X16) )
<=> in(X15,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f1244,plain,
( ! [X0: $int] :
( in(X0,sK3)
| ( empty = add(sK2,add(X0,sK3)) ) )
| ~ spl6_60 ),
inference(avatar_component_clause,[],[f1243]) ).
tff(f1150,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: $int] :
( in(sK0,add(X14,remove(X13,add(X15,add(X16,sK3)))))
| ( sK0 = X13 ) )
| ~ spl6_2 ),
inference(resolution,[],[f534,f67]) ).
tff(f534,plain,
( ! [X6: $int,X4: $int,X5: $int] :
( in(sK0,remove(X4,add(X5,add(X6,sK3))))
| ( sK0 = X4 ) )
| ~ spl6_2 ),
inference(resolution,[],[f228,f60]) ).
tff(f228,plain,
( ! [X6: $int,X5: $int] : in(sK0,add(X5,add(X6,sK3)))
| ~ spl6_2 ),
inference(resolution,[],[f155,f67]) ).
tff(f1929,plain,
( spl6_67
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1928,f1243,f1824]) ).
tff(f1928,plain,
( ! [X71: $int] : ( count(sK3) = count(add(X71,sK3)) )
| ~ spl6_60 ),
inference(subsumption_resolution,[],[f1817,f72]) ).
tff(f72,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f1817,plain,
( ! [X71: $int] :
( in(sK2,empty)
| ( count(sK3) = count(add(X71,sK3)) ) )
| ~ spl6_60 ),
inference(superposition,[],[f73,f1266]) ).
tff(f73,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(rectify,[],[f25]) ).
tff(f25,plain,
! [X1: $int,X0: collection] : in(X1,add(X1,X0)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X2: collection,X1: $int] : in(X1,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f1927,plain,
( spl6_67
| spl6_88
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1794,f1243,f96,f1925,f1824]) ).
tff(f1925,plain,
( spl6_88
<=> ! [X17: $int] : in(sK0,add(X17,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
tff(f1794,plain,
( ! [X16: $int,X17: $int] :
( in(sK0,add(X17,empty))
| ( count(add(X16,sK3)) = count(sK3) ) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f536,f1266]) ).
tff(f536,plain,
( ! [X10: $int,X11: $int,X9: $int] : in(sK0,add(X9,add(X10,add(X11,sK3))))
| ~ spl6_2 ),
inference(resolution,[],[f228,f67]) ).
tff(f1922,plain,
( spl6_37
| spl6_67
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1788,f1243,f91,f1824,f383]) ).
tff(f383,plain,
( spl6_37
<=> ( empty = add(sK2,remove(sK2,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
tff(f1788,plain,
( ! [X8: $int] :
( ( count(sK3) = count(add(X8,sK3)) )
| ( empty = add(sK2,remove(sK2,empty)) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f507,f1266]) ).
tff(f507,plain,
( ! [X8: $int,X7: $int] : ( add(X7,add(X8,sK3)) = add(sK2,remove(sK2,add(X7,add(X8,sK3)))) )
| ~ spl6_1 ),
inference(resolution,[],[f220,f65]) ).
tff(f65,plain,
! [X0: collection,X1: $int] :
( ( add(X1,remove(X1,X0)) = X0 )
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: collection,X1: $int] :
( ( add(X1,remove(X1,X0)) = X0 )
| ~ in(X1,X0) ),
inference(rectify,[],[f30]) ).
tff(f30,plain,
! [X1: collection,X0: $int] :
( ( add(X0,remove(X0,X1)) = X1 )
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
=> ( add(X0,remove(X0,X1)) = X1 ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X21: $int,X22: collection] :
( in(X21,X22)
=> ( add(X21,remove(X21,X22)) = X22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
tff(f220,plain,
( ! [X6: $int,X5: $int] : in(sK2,add(X5,add(X6,sK3)))
| ~ spl6_1 ),
inference(resolution,[],[f123,f67]) ).
tff(f1921,plain,
( spl6_87
| spl6_67
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1805,f1243,f101,f1824,f1919]) ).
tff(f1919,plain,
( spl6_87
<=> ! [X39: $int,X40: $int] :
( in(sK1,remove(X39,add(X40,empty)))
| ( sK1 = X39 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
tff(f1805,plain,
( ! [X40: $int,X38: $int,X39: $int] :
( ( count(sK3) = count(add(X38,sK3)) )
| in(sK1,remove(X39,add(X40,empty)))
| ( sK1 = X39 ) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f700,f1266]) ).
tff(f700,plain,
( ! [X8: $int,X6: $int,X9: $int,X7: $int] :
( in(sK1,remove(X6,add(X7,add(X8,add(X9,sK3)))))
| ( sK1 = X6 ) )
| ~ spl6_3 ),
inference(resolution,[],[f544,f60]) ).
tff(f544,plain,
( ! [X10: $int,X11: $int,X9: $int] : in(sK1,add(X9,add(X10,add(X11,sK3))))
| ~ spl6_3 ),
inference(resolution,[],[f236,f67]) ).
tff(f236,plain,
( ! [X6: $int,X5: $int] : in(sK1,add(X5,add(X6,sK3)))
| ~ spl6_3 ),
inference(resolution,[],[f187,f67]) ).
tff(f1917,plain,
( spl6_67
| spl6_86
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1804,f1243,f96,f1915,f1824]) ).
tff(f1915,plain,
( spl6_86
<=> ! [X36: $int,X37: $int] : in(sK0,add(X36,add(X37,empty))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
tff(f1804,plain,
( ! [X36: $int,X37: $int,X35: $int] :
( in(sK0,add(X36,add(X37,empty)))
| ( count(add(X35,sK3)) = count(sK3) ) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f664,f1266]) ).
tff(f664,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: $int] : in(sK0,add(X13,add(X14,add(X15,add(X16,sK3)))))
| ~ spl6_2 ),
inference(resolution,[],[f536,f67]) ).
tff(f1913,plain,
( spl6_85
| spl6_67
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1806,f1243,f101,f1824,f1911]) ).
tff(f1911,plain,
( spl6_85
<=> ! [X43: $int,X42: $int] : in(sK1,add(X42,add(X43,empty))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
tff(f1806,plain,
( ! [X41: $int,X42: $int,X43: $int] :
( ( count(sK3) = count(add(X41,sK3)) )
| in(sK1,add(X42,add(X43,empty))) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f702,f1266]) ).
tff(f702,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: $int] : in(sK1,add(X13,add(X14,add(X15,add(X16,sK3)))))
| ~ spl6_3 ),
inference(resolution,[],[f544,f67]) ).
tff(f1909,plain,
( spl6_67
| spl6_84
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1796,f1243,f101,f1906,f1824]) ).
tff(f1906,plain,
( spl6_84
<=> ( count(empty) = count(add(sK1,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
tff(f1796,plain,
( ! [X19: $int] :
( ( count(empty) = count(add(sK1,empty)) )
| ( count(sK3) = count(add(X19,sK3)) ) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f541,f1266]) ).
tff(f541,plain,
( ! [X2: $int,X3: $int] : ( count(add(X2,add(X3,sK3))) = count(add(sK1,add(X2,add(X3,sK3)))) )
| ~ spl6_3 ),
inference(resolution,[],[f236,f58]) ).
tff(f1904,plain,
( spl6_83
| spl6_67
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1810,f1243,f101,f1824,f1902]) ).
tff(f1902,plain,
( spl6_83
<=> ! [X57: $int,X56: $int,X58: $int] : in(sK1,add(X56,add(X57,add(X58,empty)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
tff(f1810,plain,
( ! [X58: $int,X56: $int,X57: $int,X55: $int] :
( ( count(sK3) = count(add(X55,sK3)) )
| in(sK1,add(X56,add(X57,add(X58,empty)))) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f1140,f1266]) ).
tff(f1140,plain,
( ! [X21: $int,X18: $int,X19: $int,X17: $int,X20: $int] : in(sK1,add(X17,add(X18,add(X19,add(X20,add(X21,sK3))))))
| ~ spl6_3 ),
inference(resolution,[],[f702,f67]) ).
tff(f1900,plain,
( ~ spl6_40
| spl6_67
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1795,f1243,f96,f1824,f400]) ).
tff(f400,plain,
( spl6_40
<=> ( count(empty) = count(remove(sK0,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
tff(f1795,plain,
( ! [X18: $int] :
( ( count(sK3) = count(add(X18,sK3)) )
| ( count(empty) != count(remove(sK0,empty)) ) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f538,f1266]) ).
tff(f538,plain,
( ! [X14: $int,X15: $int] : ( count(add(X14,add(X15,sK3))) != count(remove(sK0,add(X14,add(X15,sK3)))) )
| ~ spl6_2 ),
inference(resolution,[],[f228,f77]) ).
tff(f77,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( count(X0) != count(remove(X1,X0)) ) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: collection,X1: $int] :
( ( ~ in(X1,X0)
| ( count(X0) != count(remove(X1,X0)) ) )
& ( ( count(X0) = count(remove(X1,X0)) )
| in(X1,X0) ) ),
inference(rectify,[],[f49]) ).
tff(f49,plain,
! [X1: collection,X0: $int] :
( ( ~ in(X0,X1)
| ( count(remove(X0,X1)) != count(X1) ) )
& ( ( count(remove(X0,X1)) = count(X1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X1: collection,X0: $int] :
( ~ in(X0,X1)
<=> ( count(remove(X0,X1)) = count(X1) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X19: $int,X20: collection] :
( ~ in(X19,X20)
<=> ( count(remove(X19,X20)) = count(X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f1899,plain,
( spl6_67
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1898,f1243,f101,f1824]) ).
tff(f1898,plain,
( ! [X4: $int] : ( count(sK3) = count(add(X4,sK3)) )
| ~ spl6_3
| ~ spl6_60 ),
inference(subsumption_resolution,[],[f1785,f72]) ).
tff(f1785,plain,
( ! [X4: $int] :
( ( count(sK3) = count(add(X4,sK3)) )
| in(sK1,empty) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f236,f1266]) ).
tff(f1896,plain,
( spl6_67
| spl6_82
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1802,f1243,f91,f1894,f1824]) ).
tff(f1894,plain,
( spl6_82
<=> ! [X30: $int,X31: $int] : in(sK2,add(X30,add(X31,empty))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
tff(f1802,plain,
( ! [X31: $int,X29: $int,X30: $int] :
( in(sK2,add(X30,add(X31,empty)))
| ( count(sK3) = count(add(X29,sK3)) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f656,f1266]) ).
tff(f656,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: $int] : in(sK2,add(X13,add(X14,add(X15,add(X16,sK3)))))
| ~ spl6_1 ),
inference(resolution,[],[f508,f67]) ).
tff(f508,plain,
( ! [X10: $int,X11: $int,X9: $int] : in(sK2,add(X9,add(X10,add(X11,sK3))))
| ~ spl6_1 ),
inference(resolution,[],[f220,f67]) ).
tff(f1892,plain,
( spl6_81
| spl6_67
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1803,f1243,f96,f1824,f1890]) ).
tff(f1890,plain,
( spl6_81
<=> ! [X34: $int,X33: $int] :
( in(sK0,remove(X33,add(X34,empty)))
| ( sK0 = X33 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
tff(f1803,plain,
( ! [X34: $int,X32: $int,X33: $int] :
( ( count(sK3) = count(add(X32,sK3)) )
| in(sK0,remove(X33,add(X34,empty)))
| ( sK0 = X33 ) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f662,f1266]) ).
tff(f662,plain,
( ! [X8: $int,X6: $int,X9: $int,X7: $int] :
( in(sK0,remove(X6,add(X7,add(X8,add(X9,sK3)))))
| ( sK0 = X6 ) )
| ~ spl6_2 ),
inference(resolution,[],[f536,f60]) ).
tff(f1888,plain,
( ~ spl6_34
| spl6_67
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1790,f1243,f91,f1824,f366]) ).
tff(f366,plain,
( spl6_34
<=> ( count(empty) = count(remove(sK2,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
tff(f1790,plain,
( ! [X11: $int] :
( ( count(sK3) = count(add(X11,sK3)) )
| ( count(empty) != count(remove(sK2,empty)) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f510,f1266]) ).
tff(f510,plain,
( ! [X14: $int,X15: $int] : ( count(add(X14,add(X15,sK3))) != count(remove(sK2,add(X14,add(X15,sK3)))) )
| ~ spl6_1 ),
inference(resolution,[],[f220,f77]) ).
tff(f1887,plain,
( spl6_67
| spl6_80
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1791,f1243,f96,f1884,f1824]) ).
tff(f1884,plain,
( spl6_80
<=> ( count(empty) = count(add(sK0,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
tff(f1791,plain,
( ! [X12: $int] :
( ( count(empty) = count(add(sK0,empty)) )
| ( count(sK3) = count(add(X12,sK3)) ) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f533,f1266]) ).
tff(f533,plain,
( ! [X2: $int,X3: $int] : ( count(add(X2,add(X3,sK3))) = count(add(sK0,add(X2,add(X3,sK3)))) )
| ~ spl6_2 ),
inference(resolution,[],[f228,f58]) ).
tff(f1882,plain,
( spl6_79
| spl6_67
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1799,f1243,f101,f1824,f1880]) ).
tff(f1880,plain,
( spl6_79
<=> ! [X24: $int] : in(sK1,add(X24,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
tff(f1799,plain,
( ! [X24: $int,X23: $int] :
( ( count(sK3) = count(add(X23,sK3)) )
| in(sK1,add(X24,empty)) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f544,f1266]) ).
tff(f1878,plain,
( spl6_67
| spl6_78
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1801,f1243,f91,f1876,f1824]) ).
tff(f1876,plain,
( spl6_78
<=> ! [X27: $int,X28: $int] :
( in(sK2,remove(X27,add(X28,empty)))
| ( sK2 = X27 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
tff(f1801,plain,
( ! [X28: $int,X26: $int,X27: $int] :
( in(sK2,remove(X27,add(X28,empty)))
| ( sK2 = X27 )
| ( count(add(X26,sK3)) = count(sK3) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f654,f1266]) ).
tff(f654,plain,
( ! [X8: $int,X6: $int,X9: $int,X7: $int] :
( in(sK2,remove(X6,add(X7,add(X8,add(X9,sK3)))))
| ( sK2 = X6 ) )
| ~ spl6_1 ),
inference(resolution,[],[f508,f60]) ).
tff(f1873,plain,
( spl6_67
| spl6_39
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1786,f1243,f91,f395,f1824]) ).
tff(f395,plain,
( spl6_39
<=> ( count(empty) = count(add(sK2,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
tff(f1786,plain,
( ! [X5: $int] :
( ( count(empty) = count(add(sK2,empty)) )
| ( count(sK3) = count(add(X5,sK3)) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f505,f1266]) ).
tff(f505,plain,
( ! [X2: $int,X3: $int] : ( count(add(X2,add(X3,sK3))) = count(add(sK2,add(X2,add(X3,sK3)))) )
| ~ spl6_1 ),
inference(resolution,[],[f220,f58]) ).
tff(f1872,plain,
( spl6_67
| spl6_77
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1809,f1243,f91,f1870,f1824]) ).
tff(f1870,plain,
( spl6_77
<=> ! [X54: $int,X53: $int] :
( ( sK2 = X54 )
| in(sK2,add(X53,remove(X54,empty))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
tff(f1809,plain,
( ! [X54: $int,X52: $int,X53: $int] :
( ( sK2 = X54 )
| in(sK2,add(X53,remove(X54,empty)))
| ( count(sK3) = count(add(X52,sK3)) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f1132,f1266]) ).
tff(f1132,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: $int] :
( in(sK2,add(X14,remove(X13,add(X15,add(X16,sK3)))))
| ( sK2 = X13 ) )
| ~ spl6_1 ),
inference(resolution,[],[f506,f67]) ).
tff(f506,plain,
( ! [X6: $int,X4: $int,X5: $int] :
( in(sK2,remove(X4,add(X5,add(X6,sK3))))
| ( sK2 = X4 ) )
| ~ spl6_1 ),
inference(resolution,[],[f220,f60]) ).
tff(f1868,plain,
( spl6_67
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1867,f1243,f91,f1824]) ).
tff(f1867,plain,
( ! [X2: $int] : ( count(add(X2,sK3)) = count(sK3) )
| ~ spl6_1
| ~ spl6_60 ),
inference(subsumption_resolution,[],[f1783,f72]) ).
tff(f1783,plain,
( ! [X2: $int] :
( ( count(add(X2,sK3)) = count(sK3) )
| in(sK2,empty) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f220,f1266]) ).
tff(f1866,plain,
( spl6_67
| spl6_76
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1812,f1243,f101,f1864,f1824]) ).
tff(f1864,plain,
( spl6_76
<=> ! [X64: $int,X63: $int] :
( ( sK1 = X64 )
| in(sK1,add(X63,remove(X64,empty))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
tff(f1812,plain,
( ! [X62: $int,X63: $int,X64: $int] :
( ( sK1 = X64 )
| ( count(sK3) = count(add(X62,sK3)) )
| in(sK1,add(X63,remove(X64,empty))) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f1160,f1266]) ).
tff(f1160,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: $int] :
( in(sK1,add(X14,remove(X13,add(X15,add(X16,sK3)))))
| ( sK1 = X13 ) )
| ~ spl6_3 ),
inference(resolution,[],[f542,f67]) ).
tff(f542,plain,
( ! [X6: $int,X4: $int,X5: $int] :
( in(sK1,remove(X4,add(X5,add(X6,sK3))))
| ( sK1 = X4 ) )
| ~ spl6_3 ),
inference(resolution,[],[f236,f60]) ).
tff(f1862,plain,
( spl6_75
| spl6_67
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1808,f1243,f96,f1824,f1860]) ).
tff(f1860,plain,
( spl6_75
<=> ! [X50: $int,X51: $int,X49: $int] : in(sK0,add(X49,add(X50,add(X51,empty)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
tff(f1808,plain,
( ! [X50: $int,X51: $int,X48: $int,X49: $int] :
( ( count(add(X48,sK3)) = count(sK3) )
| in(sK0,add(X49,add(X50,add(X51,empty)))) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f1122,f1266]) ).
tff(f1122,plain,
( ! [X21: $int,X18: $int,X19: $int,X17: $int,X20: $int] : in(sK0,add(X17,add(X18,add(X19,add(X20,add(X21,sK3))))))
| ~ spl6_2 ),
inference(resolution,[],[f664,f67]) ).
tff(f1858,plain,
( spl6_67
| spl6_74
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1787,f1243,f91,f1856,f1824]) ).
tff(f1856,plain,
( spl6_74
<=> ! [X7: $int] :
( in(sK2,remove(X7,empty))
| ( sK2 = X7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
tff(f1787,plain,
( ! [X6: $int,X7: $int] :
( in(sK2,remove(X7,empty))
| ( sK2 = X7 )
| ( count(sK3) = count(add(X6,sK3)) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f506,f1266]) ).
tff(f1854,plain,
( spl6_67
| spl6_73
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1789,f1243,f91,f1852,f1824]) ).
tff(f1852,plain,
( spl6_73
<=> ! [X10: $int] : in(sK2,add(X10,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
tff(f1789,plain,
( ! [X10: $int,X9: $int] :
( in(sK2,add(X10,empty))
| ( count(add(X9,sK3)) = count(sK3) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f508,f1266]) ).
tff(f1850,plain,
( spl6_67
| spl6_72
| ~ spl6_1
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1807,f1243,f91,f1848,f1824]) ).
tff(f1848,plain,
( spl6_72
<=> ! [X45: $int,X46: $int,X47: $int] : in(sK2,add(X45,add(X46,add(X47,empty)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
tff(f1807,plain,
( ! [X46: $int,X47: $int,X44: $int,X45: $int] :
( in(sK2,add(X45,add(X46,add(X47,empty))))
| ( count(sK3) = count(add(X44,sK3)) ) )
| ~ spl6_1
| ~ spl6_60 ),
inference(superposition,[],[f1114,f1266]) ).
tff(f1114,plain,
( ! [X21: $int,X18: $int,X19: $int,X17: $int,X20: $int] : in(sK2,add(X17,add(X18,add(X19,add(X20,add(X21,sK3))))))
| ~ spl6_1 ),
inference(resolution,[],[f656,f67]) ).
tff(f1846,plain,
( spl6_38
| spl6_67
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1793,f1243,f96,f1824,f388]) ).
tff(f388,plain,
( spl6_38
<=> ( empty = add(sK0,remove(sK0,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
tff(f1793,plain,
( ! [X15: $int] :
( ( count(sK3) = count(add(X15,sK3)) )
| ( empty = add(sK0,remove(sK0,empty)) ) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f535,f1266]) ).
tff(f535,plain,
( ! [X8: $int,X7: $int] : ( add(X7,add(X8,sK3)) = add(sK0,remove(sK0,add(X7,add(X8,sK3)))) )
| ~ spl6_2 ),
inference(resolution,[],[f228,f65]) ).
tff(f1845,plain,
( spl6_67
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1844,f1243,f1824]) ).
tff(f1844,plain,
( ! [X74: $int] : ( count(sK3) = count(add(X74,sK3)) )
| ~ spl6_60 ),
inference(subsumption_resolution,[],[f1820,f72]) ).
tff(f1820,plain,
( ! [X74: $int] :
( in(sK2,empty)
| ( count(sK3) = count(add(X74,sK3)) ) )
| ~ spl6_60 ),
inference(superposition,[],[f83,f1266]) ).
tff(f83,plain,
! [X2: collection,X1: $int] : in(X1,add(X1,X2)),
inference(equality_resolution,[],[f68]) ).
tff(f68,plain,
! [X2: collection,X0: $int,X1: $int] :
( in(X1,add(X0,X2))
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f1843,plain,
( spl6_67
| spl6_71
| ~ spl6_2
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1792,f1243,f96,f1841,f1824]) ).
tff(f1841,plain,
( spl6_71
<=> ! [X14: $int] :
( ( sK0 = X14 )
| in(sK0,remove(X14,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
tff(f1792,plain,
( ! [X14: $int,X13: $int] :
( ( sK0 = X14 )
| in(sK0,remove(X14,empty))
| ( count(add(X13,sK3)) = count(sK3) ) )
| ~ spl6_2
| ~ spl6_60 ),
inference(superposition,[],[f534,f1266]) ).
tff(f1839,plain,
( spl6_70
| spl6_67
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1797,f1243,f101,f1824,f1837]) ).
tff(f1837,plain,
( spl6_70
<=> ! [X21: $int] :
( in(sK1,remove(X21,empty))
| ( sK1 = X21 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
tff(f1797,plain,
( ! [X21: $int,X20: $int] :
( ( count(sK3) = count(add(X20,sK3)) )
| in(sK1,remove(X21,empty))
| ( sK1 = X21 ) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f542,f1266]) ).
tff(f1835,plain,
( spl6_67
| spl6_69
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1798,f1243,f101,f1832,f1824]) ).
tff(f1832,plain,
( spl6_69
<=> ( empty = add(sK1,remove(sK1,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
tff(f1798,plain,
( ! [X22: $int] :
( ( empty = add(sK1,remove(sK1,empty)) )
| ( count(sK3) = count(add(X22,sK3)) ) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f543,f1266]) ).
tff(f543,plain,
( ! [X8: $int,X7: $int] : ( add(X7,add(X8,sK3)) = add(sK1,remove(sK1,add(X7,add(X8,sK3)))) )
| ~ spl6_3 ),
inference(resolution,[],[f236,f65]) ).
tff(f1830,plain,
( spl6_67
| ~ spl6_68
| ~ spl6_3
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f1800,f1243,f101,f1827,f1824]) ).
tff(f1827,plain,
( spl6_68
<=> ( count(empty) = count(remove(sK1,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
tff(f1800,plain,
( ! [X25: $int] :
( ( count(empty) != count(remove(sK1,empty)) )
| ( count(add(X25,sK3)) = count(sK3) ) )
| ~ spl6_3
| ~ spl6_60 ),
inference(superposition,[],[f546,f1266]) ).
tff(f546,plain,
( ! [X14: $int,X15: $int] : ( count(add(X14,add(X15,sK3))) != count(remove(sK1,add(X14,add(X15,sK3)))) )
| ~ spl6_3 ),
inference(resolution,[],[f236,f77]) ).
tff(f1420,plain,
( ~ spl6_66
| spl6_58
| ~ spl6_1
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f1411,f170,f91,f1050,f1415]) ).
tff(f1415,plain,
( spl6_66
<=> ( $sum(count(sK3),-1) = $sum(-2,count(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
tff(f1411,plain,
( ( sK0 = sK2 )
| ( $sum(count(sK3),-1) != $sum(-2,count(sK3)) )
| ~ spl6_1
| ~ spl6_14 ),
inference(evaluation,[],[f1407]) ).
tff(f1407,plain,
( ( sK0 = sK2 )
| ( $sum(count(sK3),-1) != $sum($sum(count(sK3),-1),-1) )
| ~ spl6_1
| ~ spl6_14 ),
inference(superposition,[],[f948,f172]) ).
tff(f948,plain,
( ! [X1: $int] :
( ( count(remove(X1,sK3)) != $sum(count(remove(X1,sK3)),-1) )
| ( sK2 = X1 ) )
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f945,f121]) ).
tff(f945,plain,
( ! [X1: $int] :
( ( sK2 = X1 )
| ~ in(sK2,remove(X1,sK3))
| ( count(remove(X1,sK3)) != $sum(count(remove(X1,sK3)),-1) ) )
| ~ spl6_1 ),
inference(superposition,[],[f520,f86]) ).
tff(f520,plain,
( ! [X8: $int] :
( ( count(remove(X8,sK3)) != count(remove(sK2,remove(X8,sK3))) )
| ( sK2 = X8 ) )
| ~ spl6_1 ),
inference(resolution,[],[f121,f77]) ).
tff(f1419,plain,
( spl6_59
| ~ spl6_66
| ~ spl6_1
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f1412,f212,f91,f1415,f1055]) ).
tff(f1412,plain,
( ( $sum(count(sK3),-1) != $sum(-2,count(sK3)) )
| ( sK2 = sK1 )
| ~ spl6_1
| ~ spl6_21 ),
inference(evaluation,[],[f1408]) ).
tff(f1408,plain,
( ( sK2 = sK1 )
| ( $sum(count(sK3),-1) != $sum($sum(count(sK3),-1),-1) )
| ~ spl6_1
| ~ spl6_21 ),
inference(superposition,[],[f948,f214]) ).
tff(f1418,plain,
( spl6_57
| ~ spl6_66
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f1413,f91,f1415,f1046]) ).
tff(f1046,plain,
( spl6_57
<=> ! [X1: $int] :
( ~ in(X1,sK3)
| ( sK2 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
tff(f1413,plain,
( ! [X1: $int] :
( ( $sum(count(sK3),-1) != $sum(-2,count(sK3)) )
| ( sK2 = X1 )
| ~ in(X1,sK3) )
| ~ spl6_1 ),
inference(evaluation,[],[f1406]) ).
tff(f1406,plain,
( ! [X1: $int] :
( ( sK2 = X1 )
| ( $sum(count(sK3),-1) != $sum($sum(count(sK3),-1),-1) )
| ~ in(X1,sK3) )
| ~ spl6_1 ),
inference(superposition,[],[f948,f86]) ).
tff(f1306,plain,
( spl6_65
| spl6_61
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f1297,f101,f1246,f1304]) ).
tff(f1304,plain,
( spl6_65
<=> ! [X0: $int] :
( ( empty = add(sK1,add(X0,sK3)) )
| in(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
tff(f1246,plain,
( spl6_61
<=> sP5($sum(count(sK3),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
tff(f1297,plain,
( ! [X0: $int] :
( sP5($sum(count(sK3),1))
| ( empty = add(sK1,add(X0,sK3)) )
| in(X0,sK3) )
| ~ spl6_3 ),
inference(superposition,[],[f798,f75]) ).
tff(f75,plain,
! [X0: collection,X1: $int] :
( in(X1,X0)
| ( $sum(count(X0),1) = count(add(X1,X0)) ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: collection,X1: $int] :
( ( ( $sum(count(X0),1) = count(add(X1,X0)) )
| in(X1,X0) )
& ( ~ in(X1,X0)
| ( $sum(count(X0),1) != count(add(X1,X0)) ) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: collection,X1: $int] :
( ( $sum(count(X0),1) = count(add(X1,X0)) )
<=> ~ in(X1,X0) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X14: collection,X13: $int] :
( ( count(add(X13,X14)) = $sum(count(X14),1) )
<=> ~ in(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f798,plain,
( ! [X5: $int] :
( sP5(count(add(X5,sK3)))
| ( empty = add(sK1,add(X5,sK3)) ) )
| ~ spl6_3 ),
inference(superposition,[],[f81,f233]) ).
tff(f233,plain,
( ! [X1: $int] : ( count(add(sK1,add(X1,sK3))) = count(add(X1,sK3)) )
| ~ spl6_3 ),
inference(resolution,[],[f187,f58]) ).
tff(f1282,plain,
( spl6_61
| spl6_64
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f1273,f96,f1280,f1246]) ).
tff(f1280,plain,
( spl6_64
<=> ! [X0: $int] :
( ( empty = add(sK0,add(X0,sK3)) )
| in(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
tff(f1273,plain,
( ! [X0: $int] :
( ( empty = add(sK0,add(X0,sK3)) )
| sP5($sum(count(sK3),1))
| in(X0,sK3) )
| ~ spl6_2 ),
inference(superposition,[],[f773,f75]) ).
tff(f773,plain,
( ! [X5: $int] :
( sP5(count(add(X5,sK3)))
| ( empty = add(sK0,add(X5,sK3)) ) )
| ~ spl6_2 ),
inference(superposition,[],[f81,f225]) ).
tff(f225,plain,
( ! [X1: $int] : ( count(add(X1,sK3)) = count(add(sK0,add(X1,sK3))) )
| ~ spl6_2 ),
inference(resolution,[],[f155,f58]) ).
tff(f1264,plain,
( ~ spl6_62
| spl6_63
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f1250,f91,f1262,f1258]) ).
tff(f1258,plain,
( spl6_62
<=> ( 0 = $sum(count(sK3),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
tff(f1262,plain,
( spl6_63
<=> ! [X0: $int] :
( sP4(remove(sK2,add(X0,sK3)))
| in(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
tff(f1250,plain,
( ! [X0: $int] :
( sP4(remove(sK2,add(X0,sK3)))
| ( 0 != $sum(count(sK3),1) )
| in(X0,sK3) )
| ~ spl6_1 ),
inference(superposition,[],[f764,f75]) ).
tff(f764,plain,
( ! [X2: $int] :
( ( 0 != count(add(X2,sK3)) )
| sP4(remove(sK2,add(X2,sK3))) )
| ~ spl6_1 ),
inference(superposition,[],[f222,f79]) ).
tff(f79,plain,
! [X0: collection] :
( sP4(X0)
| ( 0 = count(X0) ) ),
inference(inequality_splitting,[],[f64,f78]) ).
tff(f78,plain,
~ sP4(empty),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
tff(f64,plain,
! [X0: collection] :
( ( 0 = count(X0) )
| ( empty != X0 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f222,plain,
( ! [X8: $int] : ( count(remove(sK2,add(X8,sK3))) != count(add(X8,sK3)) )
| ~ spl6_1 ),
inference(resolution,[],[f123,f77]) ).
tff(f1249,plain,
( spl6_60
| spl6_61
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f1236,f91,f1246,f1243]) ).
tff(f1236,plain,
( ! [X0: $int] :
( sP5($sum(count(sK3),1))
| in(X0,sK3)
| ( empty = add(sK2,add(X0,sK3)) ) )
| ~ spl6_1 ),
inference(superposition,[],[f748,f75]) ).
tff(f748,plain,
( ! [X5: $int] :
( sP5(count(add(X5,sK3)))
| ( empty = add(sK2,add(X5,sK3)) ) )
| ~ spl6_1 ),
inference(superposition,[],[f81,f217]) ).
tff(f217,plain,
( ! [X1: $int] : ( count(add(sK2,add(X1,sK3))) = count(add(X1,sK3)) )
| ~ spl6_1 ),
inference(resolution,[],[f123,f58]) ).
tff(f1058,plain,
( spl6_56
| spl6_59
| ~ spl6_1
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f1037,f212,f91,f1055,f1042]) ).
tff(f1042,plain,
( spl6_56
<=> $less(0,$sum(count(sK3),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
tff(f1037,plain,
( ( sK2 = sK1 )
| $less(0,$sum(count(sK3),-1))
| ~ spl6_1
| ~ spl6_21 ),
inference(superposition,[],[f1022,f214]) ).
tff(f1022,plain,
( ! [X7: $int] :
( $less(0,count(remove(X7,sK3)))
| ( sK2 = X7 ) )
| ~ spl6_1 ),
inference(evaluation,[],[f1020]) ).
tff(f1020,plain,
( ! [X7: $int] :
( $less(0,$sum(1,$sum(count(remove(X7,sK3)),-1)))
| ( sK2 = X7 ) )
| ~ spl6_1 ),
inference(superposition,[],[f85,f521]) ).
tff(f1053,plain,
( spl6_56
| spl6_58
| ~ spl6_1
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f1036,f170,f91,f1050,f1042]) ).
tff(f1036,plain,
( ( sK0 = sK2 )
| $less(0,$sum(count(sK3),-1))
| ~ spl6_1
| ~ spl6_14 ),
inference(superposition,[],[f1022,f172]) ).
tff(f1048,plain,
( spl6_56
| spl6_57
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f1035,f91,f1046,f1042]) ).
tff(f1035,plain,
( ! [X1: $int] :
( ~ in(X1,sK3)
| $less(0,$sum(count(sK3),-1))
| ( sK2 = X1 ) )
| ~ spl6_1 ),
inference(superposition,[],[f1022,f86]) ).
tff(f870,plain,
( spl6_55
| spl6_54
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f859,f91,f829,f867]) ).
tff(f867,plain,
( spl6_55
<=> $less(0,$sum(count(sK3),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
tff(f829,plain,
( spl6_54
<=> ! [X0: $int] : in(X0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
tff(f859,plain,
( ! [X0: $int] :
( in(X0,sK3)
| $less(0,$sum(count(sK3),1)) )
| ~ spl6_1 ),
inference(superposition,[],[f844,f75]) ).
tff(f844,plain,
( ! [X7: $int] : $less(0,count(add(X7,sK3)))
| ~ spl6_1 ),
inference(evaluation,[],[f842]) ).
tff(f842,plain,
( ! [X7: $int] : $less(0,$sum(1,$sum(count(add(X7,sK3)),-1)))
| ~ spl6_1 ),
inference(superposition,[],[f85,f223]) ).
tff(f223,plain,
( ! [X9: $int] : ( count(remove(sK2,add(X9,sK3))) = $sum(count(add(X9,sK3)),-1) )
| ~ spl6_1 ),
inference(resolution,[],[f123,f86]) ).
tff(f831,plain,
( ~ spl6_53
| spl6_54
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f823,f91,f829,f825]) ).
tff(f825,plain,
( spl6_53
<=> ( $sum(2,count(sK3)) = $sum(count(sK3),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
tff(f823,plain,
( ! [X0: $int] :
( in(X0,sK3)
| ( $sum(2,count(sK3)) != $sum(count(sK3),1) ) )
| ~ spl6_1 ),
inference(evaluation,[],[f817]) ).
tff(f817,plain,
( ! [X0: $int] :
( ( $sum($sum(count(sK3),1),1) != $sum(count(sK3),1) )
| in(X0,sK3) )
| ~ spl6_1 ),
inference(superposition,[],[f751,f75]) ).
tff(f751,plain,
( ! [X0: $int] : ( $sum(count(add(X0,sK3)),1) != count(add(X0,sK3)) )
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f744,f123]) ).
tff(f744,plain,
( ! [X0: $int] :
( ( $sum(count(add(X0,sK3)),1) != count(add(X0,sK3)) )
| ~ in(sK2,add(X0,sK3)) )
| ~ spl6_1 ),
inference(superposition,[],[f74,f217]) ).
tff(f74,plain,
! [X0: collection,X1: $int] :
( ( $sum(count(X0),1) != count(add(X1,X0)) )
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
tff(f645,plain,
( spl6_47
| spl6_52
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f621,f212,f641,f576]) ).
tff(f576,plain,
( spl6_47
<=> sP5($sum(count(sK3),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
tff(f641,plain,
( spl6_52
<=> ( empty = remove(sK1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
tff(f621,plain,
( ( empty = remove(sK1,sK3) )
| sP5($sum(count(sK3),-1))
| ~ spl6_21 ),
inference(superposition,[],[f81,f214]) ).
tff(f644,plain,
( spl6_52
| ~ spl6_21
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f639,f600,f212,f641]) ).
tff(f600,plain,
( spl6_49
<=> ( 0 = $sum(count(sK3),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
tff(f639,plain,
( ( empty = remove(sK1,sK3) )
| ~ spl6_21
| ~ spl6_49 ),
inference(subsumption_resolution,[],[f638,f80]) ).
tff(f638,plain,
( ( empty = remove(sK1,sK3) )
| sP5(0)
| ~ spl6_21
| ~ spl6_49 ),
inference(forward_demodulation,[],[f621,f602]) ).
tff(f602,plain,
( ( 0 = $sum(count(sK3),-1) )
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f600]) ).
tff(f636,plain,
( ~ spl6_47
| ~ spl6_49 ),
inference(avatar_contradiction_clause,[],[f635]) ).
tff(f635,plain,
( $false
| ~ spl6_47
| ~ spl6_49 ),
inference(subsumption_resolution,[],[f632,f80]) ).
tff(f632,plain,
( sP5(0)
| ~ spl6_47
| ~ spl6_49 ),
inference(superposition,[],[f578,f602]) ).
tff(f578,plain,
( sP5($sum(count(sK3),-1))
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f576]) ).
tff(f630,plain,
( spl6_51
| spl6_49
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f620,f212,f600,f626]) ).
tff(f626,plain,
( spl6_51
<=> sP4(remove(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
tff(f620,plain,
( ( 0 = $sum(count(sK3),-1) )
| sP4(remove(sK1,sK3))
| ~ spl6_21 ),
inference(superposition,[],[f79,f214]) ).
tff(f629,plain,
( spl6_51
| spl6_49
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f615,f212,f600,f626]) ).
tff(f615,plain,
( ( 0 = $sum(count(sK3),-1) )
| sP4(remove(sK1,sK3))
| ~ spl6_21 ),
inference(superposition,[],[f214,f79]) ).
tff(f609,plain,
( spl6_33
| spl6_49
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f594,f170,f600,f341]) ).
tff(f341,plain,
( spl6_33
<=> sP4(remove(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
tff(f594,plain,
( ( 0 = $sum(count(sK3),-1) )
| sP4(remove(sK0,sK3))
| ~ spl6_14 ),
inference(superposition,[],[f79,f172]) ).
tff(f608,plain,
( spl6_50
| spl6_47
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f595,f170,f576,f605]) ).
tff(f605,plain,
( spl6_50
<=> ( empty = remove(sK0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
tff(f595,plain,
( sP5($sum(count(sK3),-1))
| ( empty = remove(sK0,sK3) )
| ~ spl6_14 ),
inference(superposition,[],[f81,f172]) ).
tff(f603,plain,
( spl6_33
| spl6_49
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f589,f170,f600,f341]) ).
tff(f589,plain,
( ( 0 = $sum(count(sK3),-1) )
| sP4(remove(sK0,sK3))
| ~ spl6_14 ),
inference(superposition,[],[f172,f79]) ).
tff(f584,plain,
( spl6_48
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f570,f128,f581]) ).
tff(f581,plain,
( spl6_48
<=> $less(0,count(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
tff(f128,plain,
( spl6_7
<=> ( count(remove(sK2,sK3)) = $sum(count(sK3),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
tff(f570,plain,
( $less(0,count(sK3))
| ~ spl6_7 ),
inference(evaluation,[],[f568]) ).
tff(f568,plain,
( $less(0,$sum(1,$sum(count(sK3),-1)))
| ~ spl6_7 ),
inference(superposition,[],[f85,f130]) ).
tff(f130,plain,
( ( count(remove(sK2,sK3)) = $sum(count(sK3),-1) )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f128]) ).
tff(f579,plain,
( spl6_46
| spl6_47
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f567,f128,f576,f572]) ).
tff(f572,plain,
( spl6_46
<=> ( empty = remove(sK2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
tff(f567,plain,
( sP5($sum(count(sK3),-1))
| ( empty = remove(sK2,sK3) )
| ~ spl6_7 ),
inference(superposition,[],[f81,f130]) ).
tff(f503,plain,
( spl6_45
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f498,f207,f500]) ).
tff(f500,plain,
( spl6_45
<=> ( count(sK3) = $sum(count(remove(sK1,sK3)),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
tff(f207,plain,
( spl6_20
<=> ( add(sK1,remove(sK1,sK3)) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
tff(f498,plain,
( ( count(sK3) = $sum(count(remove(sK1,sK3)),1) )
| ~ spl6_20 ),
inference(subsumption_resolution,[],[f496,f51]) ).
tff(f51,plain,
! [X0: collection,X1: $int] : ~ in(X1,remove(X1,X0)),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: collection,X1: $int] : ~ in(X1,remove(X1,X0)),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X4: collection,X3: $int] : ~ in(X3,remove(X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f496,plain,
( in(sK1,remove(sK1,sK3))
| ( count(sK3) = $sum(count(remove(sK1,sK3)),1) )
| ~ spl6_20 ),
inference(superposition,[],[f75,f209]) ).
tff(f209,plain,
( ( add(sK1,remove(sK1,sK3)) = sK3 )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f207]) ).
tff(f489,plain,
( ~ spl6_24
| ~ spl6_3
| spl6_18 ),
inference(avatar_split_clause,[],[f488,f197,f101,f256]) ).
tff(f256,plain,
( spl6_24
<=> ( count(sK3) = $sum(count(sK3),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
tff(f197,plain,
( spl6_18
<=> ( count(sK3) = count(remove(sK1,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
tff(f488,plain,
( ( count(sK3) != $sum(count(sK3),-1) )
| ~ spl6_3
| spl6_18 ),
inference(subsumption_resolution,[],[f485,f103]) ).
tff(f485,plain,
( ( count(sK3) != $sum(count(sK3),-1) )
| ~ in(sK1,sK3)
| spl6_18 ),
inference(superposition,[],[f199,f86]) ).
tff(f199,plain,
( ( count(sK3) != count(remove(sK1,sK3)) )
| spl6_18 ),
inference(avatar_component_clause,[],[f197]) ).
tff(f483,plain,
( spl6_44
| ~ spl6_17
| spl6_23 ),
inference(avatar_split_clause,[],[f482,f250,f192,f478]) ).
tff(f478,plain,
( spl6_44
<=> sP4(add(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
tff(f192,plain,
( spl6_17
<=> ( count(sK3) = count(add(sK1,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
tff(f250,plain,
( spl6_23
<=> ( 0 = count(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
tff(f482,plain,
( sP4(add(sK1,sK3))
| ~ spl6_17
| spl6_23 ),
inference(subsumption_resolution,[],[f470,f252]) ).
tff(f252,plain,
( ( 0 != count(sK3) )
| spl6_23 ),
inference(avatar_component_clause,[],[f250]) ).
tff(f470,plain,
( sP4(add(sK1,sK3))
| ( 0 = count(sK3) )
| ~ spl6_17 ),
inference(superposition,[],[f79,f194]) ).
tff(f194,plain,
( ( count(sK3) = count(add(sK1,sK3)) )
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f192]) ).
tff(f481,plain,
( spl6_44
| ~ spl6_17
| spl6_23 ),
inference(avatar_split_clause,[],[f476,f250,f192,f478]) ).
tff(f476,plain,
( sP4(add(sK1,sK3))
| ~ spl6_17
| spl6_23 ),
inference(subsumption_resolution,[],[f466,f252]) ).
tff(f466,plain,
( ( 0 = count(sK3) )
| sP4(add(sK1,sK3))
| ~ spl6_17 ),
inference(superposition,[],[f194,f79]) ).
tff(f475,plain,
( ~ spl6_30
| ~ spl6_3
| ~ spl6_17 ),
inference(avatar_split_clause,[],[f474,f192,f101,f302]) ).
tff(f302,plain,
( spl6_30
<=> ( count(sK3) = $sum(count(sK3),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
tff(f474,plain,
( ( count(sK3) != $sum(count(sK3),1) )
| ~ spl6_3
| ~ spl6_17 ),
inference(subsumption_resolution,[],[f467,f103]) ).
tff(f467,plain,
( ( count(sK3) != $sum(count(sK3),1) )
| ~ in(sK1,sK3)
| ~ spl6_17 ),
inference(superposition,[],[f74,f194]) ).
tff(f464,plain,
( spl6_43
| ~ spl6_16
| spl6_23 ),
inference(avatar_split_clause,[],[f463,f250,f180,f459]) ).
tff(f459,plain,
( spl6_43
<=> sP4(add(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
tff(f180,plain,
( spl6_16
<=> ( count(add(sK0,sK3)) = count(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
tff(f463,plain,
( sP4(add(sK0,sK3))
| ~ spl6_16
| spl6_23 ),
inference(subsumption_resolution,[],[f447,f252]) ).
tff(f447,plain,
( sP4(add(sK0,sK3))
| ( 0 = count(sK3) )
| ~ spl6_16 ),
inference(superposition,[],[f182,f79]) ).
tff(f182,plain,
( ( count(add(sK0,sK3)) = count(sK3) )
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f180]) ).
tff(f462,plain,
( spl6_43
| ~ spl6_16
| spl6_23 ),
inference(avatar_split_clause,[],[f457,f250,f180,f459]) ).
tff(f457,plain,
( sP4(add(sK0,sK3))
| ~ spl6_16
| spl6_23 ),
inference(subsumption_resolution,[],[f451,f252]) ).
tff(f451,plain,
( sP4(add(sK0,sK3))
| ( 0 = count(sK3) )
| ~ spl6_16 ),
inference(superposition,[],[f79,f182]) ).
tff(f456,plain,
( ~ spl6_30
| ~ spl6_2
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f455,f180,f96,f302]) ).
tff(f455,plain,
( ( count(sK3) != $sum(count(sK3),1) )
| ~ spl6_2
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f448,f98]) ).
tff(f448,plain,
( ( count(sK3) != $sum(count(sK3),1) )
| ~ in(sK0,sK3)
| ~ spl6_16 ),
inference(superposition,[],[f74,f182]) ).
tff(f443,plain,
( ~ spl6_3
| ~ spl6_28 ),
inference(avatar_contradiction_clause,[],[f442]) ).
tff(f442,plain,
( $false
| ~ spl6_3
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f408,f72]) ).
tff(f408,plain,
( in(sK1,empty)
| ~ spl6_3
| ~ spl6_28 ),
inference(superposition,[],[f187,f292]) ).
tff(f292,plain,
( ( empty = add(sK2,sK3) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f290]) ).
tff(f290,plain,
( spl6_28
<=> ( empty = add(sK2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
tff(f441,plain,
~ spl6_28,
inference(avatar_contradiction_clause,[],[f440]) ).
tff(f440,plain,
( $false
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f418,f72]) ).
tff(f418,plain,
( in(sK2,empty)
| ~ spl6_28 ),
inference(superposition,[],[f83,f292]) ).
tff(f439,plain,
( spl6_41
| ~ spl6_1
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f438,f290,f91,f426]) ).
tff(f426,plain,
( spl6_41
<=> ( count(empty) = count(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
tff(f438,plain,
( ( count(empty) = count(sK3) )
| ~ spl6_1
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f411,f93]) ).
tff(f411,plain,
( ( count(empty) = count(sK3) )
| ~ in(sK2,sK3)
| ~ spl6_28 ),
inference(superposition,[],[f58,f292]) ).
tff(f437,plain,
( ~ spl6_42
| ~ spl6_1
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f432,f290,f91,f434]) ).
tff(f434,plain,
( spl6_42
<=> ( count(empty) = $sum(count(sK3),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
tff(f432,plain,
( ( count(empty) != $sum(count(sK3),1) )
| ~ spl6_1
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f416,f93]) ).
tff(f416,plain,
( ( count(empty) != $sum(count(sK3),1) )
| ~ in(sK2,sK3)
| ~ spl6_28 ),
inference(superposition,[],[f74,f292]) ).
tff(f431,plain,
( ~ spl6_1
| ~ spl6_28 ),
inference(avatar_contradiction_clause,[],[f430]) ).
tff(f430,plain,
( $false
| ~ spl6_1
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f410,f72]) ).
tff(f410,plain,
( in(sK2,empty)
| ~ spl6_1
| ~ spl6_28 ),
inference(superposition,[],[f123,f292]) ).
tff(f429,plain,
( spl6_41
| ~ spl6_9
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f407,f290,f138,f426]) ).
tff(f138,plain,
( spl6_9
<=> ( count(sK3) = count(add(sK2,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
tff(f407,plain,
( ( count(empty) = count(sK3) )
| ~ spl6_9
| ~ spl6_28 ),
inference(superposition,[],[f140,f292]) ).
tff(f140,plain,
( ( count(sK3) = count(add(sK2,sK3)) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f138]) ).
tff(f424,plain,
( ~ spl6_28
| ~ spl6_29 ),
inference(avatar_contradiction_clause,[],[f423]) ).
tff(f423,plain,
( $false
| ~ spl6_28
| ~ spl6_29 ),
inference(subsumption_resolution,[],[f406,f78]) ).
tff(f406,plain,
( sP4(empty)
| ~ spl6_28
| ~ spl6_29 ),
inference(superposition,[],[f297,f292]) ).
tff(f297,plain,
( sP4(add(sK2,sK3))
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f295]) ).
tff(f295,plain,
( spl6_29
<=> sP4(add(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
tff(f422,plain,
( ~ spl6_2
| ~ spl6_28 ),
inference(avatar_contradiction_clause,[],[f421]) ).
tff(f421,plain,
( $false
| ~ spl6_2
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f409,f72]) ).
tff(f409,plain,
( in(sK0,empty)
| ~ spl6_2
| ~ spl6_28 ),
inference(superposition,[],[f155,f292]) ).
tff(f420,plain,
~ spl6_28,
inference(avatar_contradiction_clause,[],[f419]) ).
tff(f419,plain,
( $false
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f415,f72]) ).
tff(f415,plain,
( in(sK2,empty)
| ~ spl6_28 ),
inference(superposition,[],[f73,f292]) ).
tff(f403,plain,
( ~ spl6_40
| spl6_13
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f357,f272,f165,f400]) ).
tff(f165,plain,
( spl6_13
<=> ( count(remove(sK0,sK3)) = count(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
tff(f272,plain,
( spl6_26
<=> ( empty = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
tff(f357,plain,
( ( count(empty) != count(remove(sK0,empty)) )
| spl6_13
| ~ spl6_26 ),
inference(superposition,[],[f167,f274]) ).
tff(f274,plain,
( ( empty = sK3 )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f272]) ).
tff(f167,plain,
( ( count(remove(sK0,sK3)) != count(sK3) )
| spl6_13 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f398,plain,
( spl6_39
| ~ spl6_9
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f353,f272,f138,f395]) ).
tff(f353,plain,
( ( count(empty) = count(add(sK2,empty)) )
| ~ spl6_9
| ~ spl6_26 ),
inference(superposition,[],[f140,f274]) ).
tff(f393,plain,
( ~ spl6_3
| ~ spl6_26 ),
inference(avatar_contradiction_clause,[],[f392]) ).
tff(f392,plain,
( $false
| ~ spl6_3
| ~ spl6_26 ),
inference(subsumption_resolution,[],[f349,f72]) ).
tff(f349,plain,
( in(sK1,empty)
| ~ spl6_3
| ~ spl6_26 ),
inference(superposition,[],[f103,f274]) ).
tff(f391,plain,
( spl6_38
| ~ spl6_12
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f356,f272,f160,f388]) ).
tff(f160,plain,
( spl6_12
<=> ( add(sK0,remove(sK0,sK3)) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
tff(f356,plain,
( ( empty = add(sK0,remove(sK0,empty)) )
| ~ spl6_12
| ~ spl6_26 ),
inference(superposition,[],[f162,f274]) ).
tff(f162,plain,
( ( add(sK0,remove(sK0,sK3)) = sK3 )
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f160]) ).
tff(f386,plain,
( spl6_37
| ~ spl6_10
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f354,f272,f143,f383]) ).
tff(f143,plain,
( spl6_10
<=> ( add(sK2,remove(sK2,sK3)) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
tff(f354,plain,
( ( empty = add(sK2,remove(sK2,empty)) )
| ~ spl6_10
| ~ spl6_26 ),
inference(superposition,[],[f145,f274]) ).
tff(f145,plain,
( ( add(sK2,remove(sK2,sK3)) = sK3 )
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f381,plain,
( ~ spl6_25
| ~ spl6_26 ),
inference(avatar_contradiction_clause,[],[f380]) ).
tff(f380,plain,
( $false
| ~ spl6_25
| ~ spl6_26 ),
inference(subsumption_resolution,[],[f360,f78]) ).
tff(f360,plain,
( sP4(empty)
| ~ spl6_25
| ~ spl6_26 ),
inference(superposition,[],[f265,f274]) ).
tff(f265,plain,
( sP4(sK3)
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f263,plain,
( spl6_25
<=> sP4(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
tff(f379,plain,
( spl6_36
| ~ spl6_4
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f350,f272,f106,f376]) ).
tff(f376,plain,
( spl6_36
<=> $less(0,$sum(3,$uminus(count(empty)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
tff(f106,plain,
( spl6_4
<=> $less(0,$sum(3,$uminus(count(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
tff(f350,plain,
( $less(0,$sum(3,$uminus(count(empty))))
| ~ spl6_4
| ~ spl6_26 ),
inference(superposition,[],[f108,f274]) ).
tff(f108,plain,
( $less(0,$sum(3,$uminus(count(sK3))))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f106]) ).
tff(f374,plain,
( spl6_35
| ~ spl6_22
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f359,f272,f246,f371]) ).
tff(f371,plain,
( spl6_35
<=> sP4(remove(sK2,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
tff(f246,plain,
( spl6_22
<=> sP4(remove(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
tff(f359,plain,
( sP4(remove(sK2,empty))
| ~ spl6_22
| ~ spl6_26 ),
inference(superposition,[],[f248,f274]) ).
tff(f248,plain,
( sP4(remove(sK2,sK3))
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f369,plain,
( ~ spl6_34
| spl6_8
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f352,f272,f133,f366]) ).
tff(f133,plain,
( spl6_8
<=> ( count(remove(sK2,sK3)) = count(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
tff(f352,plain,
( ( count(empty) != count(remove(sK2,empty)) )
| spl6_8
| ~ spl6_26 ),
inference(superposition,[],[f135,f274]) ).
tff(f135,plain,
( ( count(remove(sK2,sK3)) != count(sK3) )
| spl6_8 ),
inference(avatar_component_clause,[],[f133]) ).
tff(f364,plain,
( ~ spl6_1
| ~ spl6_26 ),
inference(avatar_contradiction_clause,[],[f363]) ).
tff(f363,plain,
( $false
| ~ spl6_1
| ~ spl6_26 ),
inference(subsumption_resolution,[],[f347,f72]) ).
tff(f347,plain,
( in(sK2,empty)
| ~ spl6_1
| ~ spl6_26 ),
inference(superposition,[],[f93,f274]) ).
tff(f362,plain,
( ~ spl6_2
| ~ spl6_26 ),
inference(avatar_contradiction_clause,[],[f361]) ).
tff(f361,plain,
( $false
| ~ spl6_2
| ~ spl6_26 ),
inference(subsumption_resolution,[],[f348,f72]) ).
tff(f348,plain,
( in(sK0,empty)
| ~ spl6_2
| ~ spl6_26 ),
inference(superposition,[],[f98,f274]) ).
tff(f346,plain,
( ~ spl6_24
| ~ spl6_2
| spl6_13 ),
inference(avatar_split_clause,[],[f345,f165,f96,f256]) ).
tff(f345,plain,
( ( count(sK3) != $sum(count(sK3),-1) )
| ~ spl6_2
| spl6_13 ),
inference(subsumption_resolution,[],[f337,f98]) ).
tff(f337,plain,
( ~ in(sK0,sK3)
| ( count(sK3) != $sum(count(sK3),-1) )
| spl6_13 ),
inference(superposition,[],[f167,f86]) ).
tff(f344,plain,
( ~ spl6_23
| spl6_33
| spl6_13 ),
inference(avatar_split_clause,[],[f338,f165,f341,f250]) ).
tff(f338,plain,
( sP4(remove(sK0,sK3))
| ( 0 != count(sK3) )
| spl6_13 ),
inference(superposition,[],[f167,f79]) ).
tff(f335,plain,
( spl6_32
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f330,f160,f332]) ).
tff(f332,plain,
( spl6_32
<=> ( $sum(count(remove(sK0,sK3)),1) = count(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
tff(f330,plain,
( ( $sum(count(remove(sK0,sK3)),1) = count(sK3) )
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f326,f51]) ).
tff(f326,plain,
( ( $sum(count(remove(sK0,sK3)),1) = count(sK3) )
| in(sK0,remove(sK0,sK3))
| ~ spl6_12 ),
inference(superposition,[],[f75,f162]) ).
tff(f329,plain,
( ~ spl6_13
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f328,f160,f165]) ).
tff(f328,plain,
( ( count(remove(sK0,sK3)) != count(sK3) )
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f321,f51]) ).
tff(f321,plain,
( ( count(remove(sK0,sK3)) != count(sK3) )
| in(sK0,remove(sK0,sK3))
| ~ spl6_12 ),
inference(superposition,[],[f59,f162]) ).
tff(f59,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(X1) != count(add(X0,X1)) ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f319,plain,
( spl6_31
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f314,f143,f316]) ).
tff(f316,plain,
( spl6_31
<=> ( count(sK3) = $sum(count(remove(sK2,sK3)),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
tff(f314,plain,
( ( count(sK3) = $sum(count(remove(sK2,sK3)),1) )
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f312,f51]) ).
tff(f312,plain,
( ( count(sK3) = $sum(count(remove(sK2,sK3)),1) )
| in(sK2,remove(sK2,sK3))
| ~ spl6_10 ),
inference(superposition,[],[f75,f145]) ).
tff(f305,plain,
( ~ spl6_30
| ~ spl6_1
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f300,f138,f91,f302]) ).
tff(f300,plain,
( ( count(sK3) != $sum(count(sK3),1) )
| ~ spl6_1
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f278,f93]) ).
tff(f278,plain,
( ( count(sK3) != $sum(count(sK3),1) )
| ~ in(sK2,sK3)
| ~ spl6_9 ),
inference(superposition,[],[f74,f140]) ).
tff(f299,plain,
( spl6_23
| spl6_29
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f277,f138,f295,f250]) ).
tff(f277,plain,
( sP4(add(sK2,sK3))
| ( 0 = count(sK3) )
| ~ spl6_9 ),
inference(superposition,[],[f140,f79]) ).
tff(f298,plain,
( spl6_29
| spl6_23
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f281,f138,f250,f295]) ).
tff(f281,plain,
( ( 0 = count(sK3) )
| sP4(add(sK2,sK3))
| ~ spl6_9 ),
inference(superposition,[],[f79,f140]) ).
tff(f293,plain,
( spl6_27
| spl6_28
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f282,f138,f290,f286]) ).
tff(f286,plain,
( spl6_27
<=> sP5(count(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
tff(f282,plain,
( ( empty = add(sK2,sK3) )
| sP5(count(sK3))
| ~ spl6_9 ),
inference(superposition,[],[f81,f140]) ).
tff(f275,plain,
( spl6_26
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f270,f250,f272]) ).
tff(f270,plain,
( ( empty = sK3 )
| ~ spl6_23 ),
inference(subsumption_resolution,[],[f268,f80]) ).
tff(f268,plain,
( sP5(0)
| ( empty = sK3 )
| ~ spl6_23 ),
inference(superposition,[],[f81,f251]) ).
tff(f251,plain,
( ( 0 = count(sK3) )
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f250]) ).
tff(f266,plain,
( spl6_25
| spl6_23 ),
inference(avatar_split_clause,[],[f261,f250,f263]) ).
tff(f261,plain,
( sP4(sK3)
| spl6_23 ),
inference(trivial_inequality_removal,[],[f260]) ).
tff(f260,plain,
( sP4(sK3)
| ( 0 != 0 )
| spl6_23 ),
inference(superposition,[],[f252,f79]) ).
tff(f259,plain,
( ~ spl6_24
| ~ spl6_1
| spl6_8 ),
inference(avatar_split_clause,[],[f254,f133,f91,f256]) ).
tff(f254,plain,
( ( count(sK3) != $sum(count(sK3),-1) )
| ~ spl6_1
| spl6_8 ),
inference(subsumption_resolution,[],[f242,f93]) ).
tff(f242,plain,
( ~ in(sK2,sK3)
| ( count(sK3) != $sum(count(sK3),-1) )
| spl6_8 ),
inference(superposition,[],[f135,f86]) ).
tff(f253,plain,
( spl6_22
| ~ spl6_23
| spl6_8 ),
inference(avatar_split_clause,[],[f243,f133,f250,f246]) ).
tff(f243,plain,
( ( 0 != count(sK3) )
| sP4(remove(sK2,sK3))
| spl6_8 ),
inference(superposition,[],[f135,f79]) ).
tff(f215,plain,
( spl6_21
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f190,f101,f212]) ).
tff(f190,plain,
( ( count(remove(sK1,sK3)) = $sum(count(sK3),-1) )
| ~ spl6_3 ),
inference(resolution,[],[f103,f86]) ).
tff(f210,plain,
( spl6_20
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f186,f101,f207]) ).
tff(f186,plain,
( ( add(sK1,remove(sK1,sK3)) = sK3 )
| ~ spl6_3 ),
inference(resolution,[],[f103,f65]) ).
tff(f205,plain,
( ~ spl6_19
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f188,f101,f202]) ).
tff(f202,plain,
( spl6_19
<=> ( $sum(count(sK3),1) = count(add(sK1,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
tff(f188,plain,
( ( $sum(count(sK3),1) != count(add(sK1,sK3)) )
| ~ spl6_3 ),
inference(resolution,[],[f103,f74]) ).
tff(f200,plain,
( ~ spl6_18
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f189,f101,f197]) ).
tff(f189,plain,
( ( count(sK3) != count(remove(sK1,sK3)) )
| ~ spl6_3 ),
inference(resolution,[],[f103,f77]) ).
tff(f195,plain,
( spl6_17
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f184,f101,f192]) ).
tff(f184,plain,
( ( count(sK3) = count(add(sK1,sK3)) )
| ~ spl6_3 ),
inference(resolution,[],[f103,f58]) ).
tff(f183,plain,
( spl6_16
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f152,f96,f180]) ).
tff(f152,plain,
( ( count(add(sK0,sK3)) = count(sK3) )
| ~ spl6_2 ),
inference(resolution,[],[f98,f58]) ).
tff(f178,plain,
( ~ spl6_15
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f156,f96,f175]) ).
tff(f175,plain,
( spl6_15
<=> ( count(add(sK0,sK3)) = $sum(count(sK3),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
tff(f156,plain,
( ( count(add(sK0,sK3)) != $sum(count(sK3),1) )
| ~ spl6_2 ),
inference(resolution,[],[f98,f74]) ).
tff(f173,plain,
( spl6_14
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f158,f96,f170]) ).
tff(f158,plain,
( ( count(remove(sK0,sK3)) = $sum(count(sK3),-1) )
| ~ spl6_2 ),
inference(resolution,[],[f98,f86]) ).
tff(f168,plain,
( ~ spl6_13
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f157,f96,f165]) ).
tff(f157,plain,
( ( count(remove(sK0,sK3)) != count(sK3) )
| ~ spl6_2 ),
inference(resolution,[],[f98,f77]) ).
tff(f163,plain,
( spl6_12
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f154,f96,f160]) ).
tff(f154,plain,
( ( add(sK0,remove(sK0,sK3)) = sK3 )
| ~ spl6_2 ),
inference(resolution,[],[f98,f65]) ).
tff(f151,plain,
( ~ spl6_11
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f124,f91,f148]) ).
tff(f148,plain,
( spl6_11
<=> ( count(add(sK2,sK3)) = $sum(count(sK3),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
tff(f124,plain,
( ( count(add(sK2,sK3)) != $sum(count(sK3),1) )
| ~ spl6_1 ),
inference(resolution,[],[f93,f74]) ).
tff(f146,plain,
( spl6_10
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f122,f91,f143]) ).
tff(f122,plain,
( ( add(sK2,remove(sK2,sK3)) = sK3 )
| ~ spl6_1 ),
inference(resolution,[],[f93,f65]) ).
tff(f141,plain,
( spl6_9
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f120,f91,f138]) ).
tff(f120,plain,
( ( count(sK3) = count(add(sK2,sK3)) )
| ~ spl6_1 ),
inference(resolution,[],[f93,f58]) ).
tff(f136,plain,
( ~ spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f125,f91,f133]) ).
tff(f125,plain,
( ( count(remove(sK2,sK3)) != count(sK3) )
| ~ spl6_1 ),
inference(resolution,[],[f93,f77]) ).
tff(f131,plain,
( spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f126,f91,f128]) ).
tff(f126,plain,
( ( count(remove(sK2,sK3)) = $sum(count(sK3),-1) )
| ~ spl6_1 ),
inference(resolution,[],[f93,f86]) ).
tff(f119,plain,
spl6_6,
inference(avatar_split_clause,[],[f87,f116]) ).
tff(f116,plain,
( spl6_6
<=> $less(0,$sum(sK0,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
tff(f87,plain,
$less(0,$sum(sK0,$uminus(sK2))),
inference(evaluation,[],[f56]) ).
tff(f56,plain,
$less(sK2,sK0),
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
( ~ $less(2,count(sK3))
& $less(sK2,sK0)
& in(sK0,sK3)
& in(sK2,sK3)
& in(sK1,sK3)
& $less(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f33,f34]) ).
tff(f34,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: collection] :
( ~ $less(2,count(X3))
& $less(X2,X0)
& in(X0,X3)
& in(X2,X3)
& in(X1,X3)
& $less(X0,X1) )
=> ( ~ $less(2,count(sK3))
& $less(sK2,sK0)
& in(sK0,sK3)
& in(sK2,sK3)
& in(sK1,sK3)
& $less(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f33,plain,
? [X0: $int,X1: $int,X2: $int,X3: collection] :
( ~ $less(2,count(X3))
& $less(X2,X0)
& in(X0,X3)
& in(X2,X3)
& in(X1,X3)
& $less(X0,X1) ),
inference(rectify,[],[f32]) ).
tff(f32,plain,
? [X1: $int,X0: $int,X2: $int,X3: collection] :
( ~ $less(2,count(X3))
& $less(X2,X1)
& in(X1,X3)
& in(X2,X3)
& in(X0,X3)
& $less(X1,X0) ),
inference(flattening,[],[f31]) ).
tff(f31,plain,
? [X0: $int,X2: $int,X1: $int,X3: collection] :
( ~ $less(2,count(X3))
& in(X1,X3)
& $less(X1,X0)
& in(X2,X3)
& $less(X2,X1)
& in(X0,X3) ),
inference(ennf_transformation,[],[f21]) ).
tff(f21,plain,
~ ! [X0: $int,X2: $int,X1: $int,X3: collection] :
( ( in(X1,X3)
& $less(X1,X0)
& in(X2,X3)
& $less(X2,X1)
& in(X0,X3) )
=> $less(2,count(X3)) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
~ ! [X1: $int,X2: $int,X3: $int,X0: collection] :
( ( $less(X3,X2)
& in(X3,X0)
& in(X2,X0)
& $less(X2,X1)
& in(X1,X0) )
=> $less(2,count(X0)) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X1: $int,X2: $int,X3: $int,X0: collection] :
( ( $greater(X2,X3)
& in(X3,X0)
& in(X2,X0)
& $greater(X1,X2)
& in(X1,X0) )
=> $greater(count(X0),2) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X1: $int,X2: $int,X3: $int,X0: collection] :
( ( $greater(X2,X3)
& in(X3,X0)
& in(X2,X0)
& $greater(X1,X2)
& in(X1,X0) )
=> $greater(count(X0),2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f114,plain,
spl6_5,
inference(avatar_split_clause,[],[f88,f111]) ).
tff(f111,plain,
( spl6_5
<=> $less(0,$sum(sK1,$uminus(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
tff(f88,plain,
$less(0,$sum(sK1,$uminus(sK0))),
inference(evaluation,[],[f52]) ).
tff(f52,plain,
$less(sK0,sK1),
inference(cnf_transformation,[],[f35]) ).
tff(f109,plain,
spl6_4,
inference(avatar_split_clause,[],[f89,f106]) ).
tff(f89,plain,
$less(0,$sum(3,$uminus(count(sK3)))),
inference(evaluation,[],[f57]) ).
tff(f57,plain,
~ $less(2,count(sK3)),
inference(cnf_transformation,[],[f35]) ).
tff(f104,plain,
spl6_3,
inference(avatar_split_clause,[],[f53,f101]) ).
tff(f53,plain,
in(sK1,sK3),
inference(cnf_transformation,[],[f35]) ).
tff(f99,plain,
spl6_2,
inference(avatar_split_clause,[],[f55,f96]) ).
tff(f55,plain,
in(sK0,sK3),
inference(cnf_transformation,[],[f35]) ).
tff(f94,plain,
spl6_1,
inference(avatar_split_clause,[],[f54,f91]) ).
tff(f54,plain,
in(sK2,sK3),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT043=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:39:00 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.20/0.51 % (25928)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.51 % (25920)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 (2999ds/50Mi)
% 0.20/0.52 % (25919)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.52 % (25912)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 (2999ds/32Mi)
% 0.20/0.52 % (25925)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 (2999ds/2Mi)
% 0.20/0.52 % (25934)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.52 % (25935)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=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.52 % (25908)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 (2999ds/8Mi)
% 0.20/0.52 % (25931)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52 % (25906)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 (2999ds/59848Mi)
% 0.20/0.52 % (25932)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (25910)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 (2999ds/37Mi)
% 0.20/0.53 % (25909)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 (2999ds/2Mi)
% 0.20/0.53 % (25909)Instruction limit reached!
% 0.20/0.53 % (25909)------------------------------
% 0.20/0.53 % (25909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25909)Termination reason: Unknown
% 0.20/0.53 % (25909)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (25909)Memory used [KB]: 895
% 0.20/0.53 % (25909)Time elapsed: 0.002 s
% 0.20/0.53 % (25909)Instructions burned: 2 (million)
% 0.20/0.53 % (25909)------------------------------
% 0.20/0.53 % (25909)------------------------------
% 0.20/0.53 % (25914)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)
% 0.20/0.53 % (25911)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (25913)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)
% 0.20/0.53 % (25917)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)
% 0.20/0.53 % (25927)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53 % (25924)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (25917)Instruction limit reached!
% 0.20/0.53 % (25917)------------------------------
% 0.20/0.53 % (25917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25917)Termination reason: Unknown
% 0.20/0.53 % (25917)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (25917)Memory used [KB]: 5500
% 0.20/0.53 % (25917)Time elapsed: 0.138 s
% 0.20/0.53 % (25917)Instructions burned: 4 (million)
% 0.20/0.53 % (25917)------------------------------
% 0.20/0.53 % (25917)------------------------------
% 0.20/0.53 % (25929)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (25907)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 (2999ds/34Mi)
% 0.20/0.53 % (25926)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (25930)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.53 % (25925)Instruction limit reached!
% 0.20/0.53 % (25925)------------------------------
% 0.20/0.53 % (25925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25908)Instruction limit reached!
% 0.20/0.53 % (25908)------------------------------
% 0.20/0.53 % (25908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25908)Termination reason: Unknown
% 0.20/0.53 % (25908)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (25908)Memory used [KB]: 5628
% 0.20/0.53 % (25908)Time elapsed: 0.140 s
% 0.20/0.53 % (25908)Instructions burned: 9 (million)
% 0.20/0.53 % (25908)------------------------------
% 0.20/0.53 % (25908)------------------------------
% 0.20/0.54 % (25925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25925)Termination reason: Unknown
% 0.20/0.54 % (25925)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (25925)Memory used [KB]: 1023
% 0.20/0.54 % (25925)Time elapsed: 0.003 s
% 0.20/0.54 % (25925)Instructions burned: 2 (million)
% 0.20/0.54 % (25925)------------------------------
% 0.20/0.54 % (25925)------------------------------
% 0.20/0.54 % (25916)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.54 % (25923)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 (2999ds/49Mi)
% 0.20/0.54 % (25918)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)
% 0.20/0.54 % (25933)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (25918)Instruction limit reached!
% 0.20/0.54 % (25918)------------------------------
% 0.20/0.54 % (25918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (25918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25918)Termination reason: Unknown
% 0.20/0.54 % (25918)Termination phase: Equality proxy
% 0.20/0.54
% 0.20/0.54 % (25918)Memory used [KB]: 1023
% 0.20/0.54 % (25918)Time elapsed: 0.002 s
% 0.20/0.54 % (25918)Instructions burned: 3 (million)
% 0.20/0.54 % (25918)------------------------------
% 0.20/0.54 % (25918)------------------------------
% 0.20/0.54 % (25915)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)
% 0.20/0.54 % (25915)Instruction limit reached!
% 0.20/0.54 % (25915)------------------------------
% 0.20/0.54 % (25915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25922)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (25921)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 (2999ds/2Mi)
% 0.20/0.55 % (25911)Instruction limit reached!
% 0.20/0.55 % (25911)------------------------------
% 0.20/0.55 % (25911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (25915)Termination reason: Unknown
% 0.20/0.55 % (25915)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (25915)Memory used [KB]: 1023
% 0.20/0.55 % (25915)Time elapsed: 0.002 s
% 0.20/0.55 % (25915)Instructions burned: 3 (million)
% 0.20/0.55 % (25915)------------------------------
% 0.20/0.55 % (25915)------------------------------
% 0.20/0.55 % (25922)Instruction limit reached!
% 0.20/0.55 % (25922)------------------------------
% 0.20/0.55 % (25922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (25922)Termination reason: Unknown
% 0.20/0.55 % (25922)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (25922)Memory used [KB]: 5500
% 0.20/0.55 % (25922)Time elapsed: 0.004 s
% 0.20/0.55 % (25922)Instructions burned: 3 (million)
% 0.20/0.55 % (25922)------------------------------
% 0.20/0.55 % (25922)------------------------------
% 0.20/0.56 % (25926)Instruction limit reached!
% 0.20/0.56 % (25926)------------------------------
% 0.20/0.56 % (25926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (25924)Instruction limit reached!
% 0.20/0.56 % (25924)------------------------------
% 0.20/0.56 % (25924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (25911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (25911)Termination reason: Unknown
% 0.20/0.56 % (25911)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (25911)Memory used [KB]: 5628
% 0.20/0.56 % (25911)Time elapsed: 0.142 s
% 0.20/0.56 % (25911)Instructions burned: 15 (million)
% 0.20/0.56 % (25911)------------------------------
% 0.20/0.56 % (25911)------------------------------
% 1.63/0.56 % (25914)Instruction limit reached!
% 1.63/0.56 % (25914)------------------------------
% 1.63/0.56 % (25914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (25921)Instruction limit reached!
% 1.63/0.56 % (25921)------------------------------
% 1.63/0.56 % (25921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (25921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (25921)Termination reason: Unknown
% 1.63/0.56 % (25921)Termination phase: Saturation
% 1.63/0.56
% 1.63/0.56 % (25921)Memory used [KB]: 5500
% 1.63/0.56 % (25921)Time elapsed: 0.004 s
% 1.63/0.56 % (25921)Instructions burned: 3 (million)
% 1.63/0.56 % (25921)------------------------------
% 1.63/0.56 % (25921)------------------------------
% 1.63/0.56 % (25914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (25914)Termination reason: Unknown
% 1.63/0.56 % (25914)Termination phase: Saturation
% 1.63/0.56
% 1.63/0.56 % (25914)Memory used [KB]: 6012
% 1.63/0.56 % (25914)Time elapsed: 0.153 s
% 1.63/0.56 % (25914)Instructions burned: 27 (million)
% 1.63/0.56 % (25914)------------------------------
% 1.63/0.56 % (25914)------------------------------
% 1.63/0.56 % (25919)Instruction limit reached!
% 1.63/0.56 % (25919)------------------------------
% 1.63/0.56 % (25919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (25926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (25926)Termination reason: Unknown
% 1.63/0.56 % (25926)Termination phase: Saturation
% 1.63/0.56
% 1.63/0.56 % (25926)Memory used [KB]: 1151
% 1.63/0.56 % (25926)Time elapsed: 0.171 s
% 1.63/0.56 % (25926)Instructions burned: 15 (million)
% 1.63/0.56 % (25926)------------------------------
% 1.63/0.56 % (25926)------------------------------
% 1.63/0.57 % (25934)Instruction limit reached!
% 1.63/0.57 % (25934)------------------------------
% 1.63/0.57 % (25934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (25933)Instruction limit reached!
% 1.63/0.57 % (25933)------------------------------
% 1.63/0.57 % (25933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (25924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (25924)Termination reason: Unknown
% 1.63/0.57 % (25924)Termination phase: Saturation
% 1.63/0.57
% 1.63/0.57 % (25924)Memory used [KB]: 5756
% 1.63/0.57 % (25924)Time elapsed: 0.172 s
% 1.63/0.57 % (25924)Instructions burned: 15 (million)
% 1.63/0.57 % (25924)------------------------------
% 1.63/0.57 % (25924)------------------------------
% 1.63/0.57 % (25927)Instruction limit reached!
% 1.63/0.57 % (25927)------------------------------
% 1.63/0.57 % (25927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (25919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (25919)Termination reason: Unknown
% 1.63/0.57 % (25919)Termination phase: Saturation
% 1.63/0.57
% 1.63/0.57 % (25919)Memory used [KB]: 5756
% 1.63/0.57 % (25919)Time elapsed: 0.140 s
% 1.63/0.57 % (25919)Instructions burned: 22 (million)
% 1.63/0.57 % (25919)------------------------------
% 1.63/0.57 % (25919)------------------------------
% 1.63/0.57 % (25912)Instruction limit reached!
% 1.63/0.57 % (25912)------------------------------
% 1.63/0.57 % (25912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (25934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (25934)Termination reason: Unknown
% 1.63/0.57 % (25934)Termination phase: Saturation
% 1.63/0.57
% 1.63/0.57 % (25934)Memory used [KB]: 5756
% 1.63/0.57 % (25934)Time elapsed: 0.182 s
% 1.63/0.57 % (25934)Instructions burned: 21 (million)
% 1.63/0.57 % (25934)------------------------------
% 1.63/0.57 % (25934)------------------------------
% 1.63/0.58 % (25927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (25927)Termination reason: Unknown
% 1.63/0.58 % (25927)Termination phase: Saturation
% 1.63/0.58
% 1.63/0.58 % (25927)Memory used [KB]: 5756
% 1.63/0.58 % (25927)Time elapsed: 0.158 s
% 1.63/0.58 % (25927)Instructions burned: 21 (million)
% 1.63/0.58 % (25927)------------------------------
% 1.63/0.58 % (25927)------------------------------
% 1.63/0.58 % (25933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (25933)Termination reason: Unknown
% 1.63/0.58 % (25933)Termination phase: Saturation
% 1.63/0.58
% 1.63/0.58 % (25933)Memory used [KB]: 5756
% 1.63/0.58 % (25933)Time elapsed: 0.182 s
% 1.63/0.58 % (25933)Instructions burned: 22 (million)
% 1.63/0.58 % (25933)------------------------------
% 1.63/0.58 % (25933)------------------------------
% 1.84/0.58 % (25907)Instruction limit reached!
% 1.84/0.58 % (25907)------------------------------
% 1.84/0.58 % (25907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58 % (25916)Instruction limit reached!
% 1.84/0.58 % (25916)------------------------------
% 1.84/0.58 % (25916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58 % (25916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.58 % (25916)Termination reason: Unknown
% 1.84/0.58 % (25916)Termination phase: Saturation
% 1.84/0.58
% 1.84/0.58 % (25916)Memory used [KB]: 6012
% 1.84/0.58 % (25916)Time elapsed: 0.194 s
% 1.84/0.58 % (25916)Instructions burned: 36 (million)
% 1.84/0.58 % (25916)------------------------------
% 1.84/0.58 % (25916)------------------------------
% 1.84/0.59 % (25932)Instruction limit reached!
% 1.84/0.59 % (25932)------------------------------
% 1.84/0.59 % (25932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (25932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (25932)Termination reason: Unknown
% 1.84/0.59 % (25932)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (25932)Memory used [KB]: 6140
% 1.84/0.59 % (25932)Time elapsed: 0.192 s
% 1.84/0.59 % (25932)Instructions burned: 43 (million)
% 1.84/0.59 % (25932)------------------------------
% 1.84/0.59 % (25932)------------------------------
% 1.84/0.59 % (25910)Instruction limit reached!
% 1.84/0.59 % (25910)------------------------------
% 1.84/0.59 % (25910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (25910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (25910)Termination reason: Unknown
% 1.84/0.59 % (25910)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (25910)Memory used [KB]: 6012
% 1.84/0.59 % (25910)Time elapsed: 0.185 s
% 1.84/0.59 % (25910)Instructions burned: 37 (million)
% 1.84/0.59 % (25910)------------------------------
% 1.84/0.59 % (25910)------------------------------
% 1.84/0.60 % (25913)Instruction limit reached!
% 1.84/0.60 % (25913)------------------------------
% 1.84/0.60 % (25913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (25907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (25907)Termination reason: Unknown
% 1.84/0.60 % (25907)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (25907)Memory used [KB]: 5756
% 1.84/0.60 % (25907)Time elapsed: 0.182 s
% 1.84/0.60 % (25907)Instructions burned: 35 (million)
% 1.84/0.60 % (25907)------------------------------
% 1.84/0.60 % (25907)------------------------------
% 1.84/0.60 % (25913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (25913)Termination reason: Unknown
% 1.84/0.60 % (25913)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (25913)Memory used [KB]: 5884
% 1.84/0.60 % (25913)Time elapsed: 0.205 s
% 1.84/0.60 % (25913)Instructions burned: 37 (million)
% 1.84/0.60 % (25913)------------------------------
% 1.84/0.60 % (25913)------------------------------
% 1.84/0.60 % (25928)Instruction limit reached!
% 1.84/0.60 % (25928)------------------------------
% 1.84/0.60 % (25928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (25928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (25928)Termination reason: Unknown
% 1.84/0.60 % (25928)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (25928)Memory used [KB]: 1407
% 1.84/0.60 % (25928)Time elapsed: 0.153 s
% 1.84/0.60 % (25928)Instructions burned: 47 (million)
% 1.84/0.60 % (25928)------------------------------
% 1.84/0.60 % (25928)------------------------------
% 1.84/0.60 % (25912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (25912)Termination reason: Unknown
% 1.84/0.60 % (25912)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (25912)Memory used [KB]: 5884
% 1.84/0.60 % (25912)Time elapsed: 0.122 s
% 1.84/0.60 % (25912)Instructions burned: 32 (million)
% 1.84/0.60 % (25912)------------------------------
% 1.84/0.60 % (25912)------------------------------
% 1.84/0.60 % (25935)Instruction limit reached!
% 1.84/0.60 % (25935)------------------------------
% 1.84/0.60 % (25935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (25930)Instruction limit reached!
% 1.84/0.61 % (25930)------------------------------
% 1.84/0.61 % (25930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (25930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (25935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (25935)Termination reason: Unknown
% 1.84/0.61 % (25935)Termination phase: Saturation
% 1.84/0.61
% 1.84/0.61 % (25935)Memory used [KB]: 6268
% 1.84/0.61 % (25935)Time elapsed: 0.202 s
% 1.84/0.61 % (25935)Instructions burned: 43 (million)
% 1.84/0.61 % (25935)------------------------------
% 1.84/0.61 % (25935)------------------------------
% 1.84/0.61 % (25930)Termination reason: Unknown
% 1.84/0.61 % (25930)Termination phase: Saturation
% 1.84/0.61
% 1.84/0.61 % (25930)Memory used [KB]: 1663
% 1.84/0.61 % (25930)Time elapsed: 0.203 s
% 1.84/0.61 % (25930)Instructions burned: 48 (million)
% 1.84/0.61 % (25930)------------------------------
% 1.84/0.61 % (25930)------------------------------
% 1.84/0.61 % (25931)Instruction limit reached!
% 1.84/0.61 % (25931)------------------------------
% 1.84/0.61 % (25931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (25931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (25931)Termination reason: Unknown
% 1.84/0.61 % (25931)Termination phase: Saturation
% 1.84/0.61
% 1.84/0.61 % (25931)Memory used [KB]: 6012
% 1.84/0.61 % (25931)Time elapsed: 0.224 s
% 1.84/0.61 % (25931)Instructions burned: 43 (million)
% 1.84/0.61 % (25931)------------------------------
% 1.84/0.61 % (25931)------------------------------
% 1.84/0.62 % (25920)Instruction limit reached!
% 1.84/0.62 % (25920)------------------------------
% 1.84/0.62 % (25920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62 % (25920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62 % (25920)Termination reason: Unknown
% 1.84/0.62 % (25920)Termination phase: Saturation
% 1.84/0.62
% 1.84/0.62 % (25920)Memory used [KB]: 6396
% 1.84/0.62 % (25920)Time elapsed: 0.153 s
% 1.84/0.62 % (25920)Instructions burned: 50 (million)
% 1.84/0.62 % (25920)------------------------------
% 1.84/0.62 % (25920)------------------------------
% 2.12/0.63 % (25923)Instruction limit reached!
% 2.12/0.63 % (25923)------------------------------
% 2.12/0.63 % (25923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63 % (25923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63 % (25923)Termination reason: Unknown
% 2.12/0.63 % (25923)Termination phase: Saturation
% 2.12/0.63
% 2.12/0.63 % (25923)Memory used [KB]: 6140
% 2.12/0.63 % (25923)Time elapsed: 0.227 s
% 2.12/0.63 % (25923)Instructions burned: 51 (million)
% 2.12/0.63 % (25923)------------------------------
% 2.12/0.63 % (25923)------------------------------
% 2.12/0.64 % (25936)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)
% 2.12/0.64 % (25929)Instruction limit reached!
% 2.12/0.64 % (25929)------------------------------
% 2.12/0.64 % (25929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64 % (25929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64 % (25929)Termination reason: Unknown
% 2.12/0.64 % (25929)Termination phase: Saturation
% 2.12/0.64
% 2.12/0.64 % (25929)Memory used [KB]: 6012
% 2.12/0.64 % (25929)Time elapsed: 0.242 s
% 2.12/0.64 % (25929)Instructions burned: 50 (million)
% 2.12/0.64 % (25929)------------------------------
% 2.12/0.64 % (25929)------------------------------
% 2.16/0.65 % (25942)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 2.16/0.66 % (25938)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.16/0.67 % (25936)Instruction limit reached!
% 2.16/0.67 % (25936)------------------------------
% 2.16/0.67 % (25936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.67 % (25936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.67 % (25936)Termination reason: Unknown
% 2.16/0.67 % (25936)Termination phase: Saturation
% 2.16/0.67
% 2.16/0.67 % (25936)Memory used [KB]: 5756
% 2.16/0.67 % (25936)Time elapsed: 0.106 s
% 2.16/0.67 % (25936)Instructions burned: 16 (million)
% 2.16/0.67 % (25936)------------------------------
% 2.16/0.67 % (25936)------------------------------
% 2.16/0.67 % (25939)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=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.16/0.67 % (25937)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.16/0.68 % (25940)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.16/0.68 % (25945)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.16/0.68 % (25946)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.16/0.69 % (25951)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.16/0.69 % (25944)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.16/0.70 % (25941)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 2.16/0.70 % (25947)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.16/0.70 % (25948)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.16/0.70 % (25955)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.16/0.70 % (25943)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.16/0.70 % (25957)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.16/0.71 % (25960)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.16/0.71 % (25956)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=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.16/0.71 % (25938)Instruction limit reached!
% 2.16/0.71 % (25938)------------------------------
% 2.16/0.71 % (25938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.71 % (25938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.71 % (25938)Termination reason: Unknown
% 2.16/0.71 % (25938)Termination phase: Saturation
% 2.16/0.71
% 2.16/0.71 % (25938)Memory used [KB]: 5884
% 2.16/0.71 % (25938)Time elapsed: 0.121 s
% 2.16/0.71 % (25938)Instructions burned: 25 (million)
% 2.16/0.71 % (25938)------------------------------
% 2.16/0.71 % (25938)------------------------------
% 2.16/0.71 % (25950)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.16/0.71 % (25952)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.29/0.72 % (25958)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.29/0.72 % (25949)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.29/0.73 % (25953)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.29/0.73 % (25954)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.29/0.74 % (25962)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.29/0.74 % (25942)Refutation not found, non-redundant clauses discarded% (25942)------------------------------
% 2.29/0.74 % (25942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.75 % (25961)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.29/0.75 % (25959)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.29/0.76 % (25937)Instruction limit reached!
% 2.29/0.76 % (25937)------------------------------
% 2.29/0.76 % (25937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.76 % (25937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.76 % (25937)Termination reason: Unknown
% 2.29/0.76 % (25937)Termination phase: Saturation
% 2.29/0.76
% 2.29/0.76 % (25937)Memory used [KB]: 6268
% 2.29/0.76 % (25937)Time elapsed: 0.198 s
% 2.29/0.76 % (25937)Instructions burned: 48 (million)
% 2.29/0.76 % (25937)------------------------------
% 2.29/0.76 % (25937)------------------------------
% 2.29/0.76 % (25942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.76 % (25942)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.29/0.76
% 2.29/0.76 % (25942)Memory used [KB]: 6524
% 2.29/0.76 % (25942)Time elapsed: 0.157 s
% 2.29/0.76 % (25942)Instructions burned: 55 (million)
% 2.29/0.76 % (25942)------------------------------
% 2.29/0.76 % (25942)------------------------------
% 2.41/0.77 % (25963)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.41/0.80 % (25964)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/230Mi)
% 2.41/0.81 % (25940)Instruction limit reached!
% 2.41/0.81 % (25940)------------------------------
% 2.41/0.81 % (25940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.82 % (25944)Refutation not found, incomplete strategy% (25944)------------------------------
% 2.41/0.82 % (25944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.82 % (25944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.82 % (25944)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.82
% 2.41/0.82 % (25944)Memory used [KB]: 5628
% 2.41/0.82 % (25944)Time elapsed: 0.236 s
% 2.41/0.82 % (25944)Instructions burned: 103 (million)
% 2.41/0.82 % (25944)------------------------------
% 2.41/0.82 % (25944)------------------------------
% 2.41/0.82 % (25972)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/360Mi)
% 2.41/0.82 % (25940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.82 % (25940)Termination reason: Unknown
% 2.41/0.82 % (25940)Termination phase: Saturation
% 2.41/0.82
% 2.41/0.82 % (25940)Memory used [KB]: 6652
% 2.41/0.82 % (25940)Time elapsed: 0.239 s
% 2.41/0.82 % (25940)Instructions burned: 100 (million)
% 2.41/0.82 % (25940)------------------------------
% 2.41/0.82 % (25940)------------------------------
% 2.41/0.83 % (25950)Refutation not found, incomplete strategy% (25950)------------------------------
% 2.41/0.83 % (25950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.83 % (25950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.83 % (25950)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.83
% 2.41/0.83 % (25950)Memory used [KB]: 1023
% 2.41/0.83 % (25950)Time elapsed: 0.216 s
% 2.41/0.83 % (25950)Instructions burned: 101 (million)
% 2.41/0.83 % (25950)------------------------------
% 2.41/0.83 % (25950)------------------------------
% 2.41/0.84 % (25941)Instruction limit reached!
% 2.41/0.84 % (25941)------------------------------
% 2.41/0.84 % (25941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.84 % (25943)Instruction limit reached!
% 2.41/0.84 % (25943)------------------------------
% 2.41/0.84 % (25943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.84 % (25941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.84 % (25941)Termination reason: Unknown
% 2.41/0.84 % (25941)Termination phase: Saturation
% 2.41/0.84
% 2.41/0.84 % (25941)Memory used [KB]: 6652
% 2.41/0.84 % (25941)Time elapsed: 0.262 s
% 2.41/0.84 % (25941)Instructions burned: 76 (million)
% 2.41/0.84 % (25941)------------------------------
% 2.41/0.84 % (25941)------------------------------
% 2.41/0.84 % (25943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.84 % (25943)Termination reason: Unknown
% 2.41/0.84 % (25943)Termination phase: Saturation
% 2.41/0.84
% 2.41/0.84 % (25943)Memory used [KB]: 5756
% 2.41/0.84 % (25943)Time elapsed: 0.256 s
% 2.41/0.84 % (25943)Instructions burned: 96 (million)
% 2.41/0.84 % (25943)------------------------------
% 2.41/0.84 % (25943)------------------------------
% 2.41/0.85 % (26002)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 2.76/0.86 % (25953)Refutation not found, incomplete strategy% (25953)------------------------------
% 2.76/0.86 % (25953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.87 % (25953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.87 % (25953)Termination reason: Refutation not found, incomplete strategy
% 2.76/0.87
% 2.76/0.87 % (25953)Memory used [KB]: 1023
% 2.76/0.87 % (25953)Time elapsed: 0.234 s
% 2.76/0.87 % (25953)Instructions burned: 101 (million)
% 2.76/0.87 % (25953)------------------------------
% 2.76/0.87 % (25953)------------------------------
% 2.76/0.88 % (25954)Instruction limit reached!
% 2.76/0.88 % (25954)------------------------------
% 2.76/0.88 % (25954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.88 % (25954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.88 % (25954)Termination reason: Unknown
% 2.76/0.88 % (25954)Termination phase: Saturation
% 2.76/0.88
% 2.76/0.88 % (25954)Memory used [KB]: 6140
% 2.76/0.88 % (25954)Time elapsed: 0.244 s
% 2.76/0.88 % (25954)Instructions burned: 81 (million)
% 2.76/0.88 % (25954)------------------------------
% 2.76/0.88 % (25954)------------------------------
% 2.84/0.89 % (25955)Instruction limit reached!
% 2.84/0.89 % (25955)------------------------------
% 2.84/0.89 % (25955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.89 % (25955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.89 % (25955)Termination reason: Unknown
% 2.84/0.89 % (25955)Termination phase: Saturation
% 2.84/0.89
% 2.84/0.89 % (25955)Memory used [KB]: 1535
% 2.84/0.89 % (25955)Time elapsed: 0.225 s
% 2.84/0.89 % (25955)Instructions burned: 147 (million)
% 2.84/0.89 % (25955)------------------------------
% 2.84/0.89 % (25955)------------------------------
% 2.84/0.89 % (26025)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/256Mi)
% 2.84/0.89 % (26026)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 2.84/0.90 % (25939)Instruction limit reached!
% 2.84/0.90 % (25939)------------------------------
% 2.84/0.90 % (25939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.91 % (25951)Instruction limit reached!
% 2.84/0.91 % (25951)------------------------------
% 2.84/0.91 % (25951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.91 % (25951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.91 % (25951)Termination reason: Unknown
% 2.84/0.91 % (25951)Termination phase: Saturation
% 2.84/0.91
% 2.84/0.91 % (25951)Memory used [KB]: 2046
% 2.84/0.91 % (25951)Time elapsed: 0.272 s
% 2.84/0.91 % (25951)Instructions burned: 162 (million)
% 2.84/0.91 % (25951)------------------------------
% 2.84/0.91 % (25951)------------------------------
% 2.84/0.92 % (25939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.92 % (25939)Termination reason: Unknown
% 2.84/0.92 % (25939)Termination phase: Saturation
% 2.84/0.92
% 2.84/0.92 % (25939)Memory used [KB]: 6396
% 2.84/0.92 % (25939)Time elapsed: 0.312 s
% 2.84/0.92 % (25939)Instructions burned: 149 (million)
% 2.84/0.92 % (25939)------------------------------
% 2.84/0.92 % (25939)------------------------------
% 3.11/0.93 % (26068)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3721Mi)
% 3.12/0.95 % (26086)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2416Mi)
% 3.12/0.96 % (26069)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/501Mi)
% 3.12/0.96 % (26076)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1705Mi)
% 3.12/0.97 % (26088)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1683Mi)
% 3.12/0.99 % (26100)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 3.12/1.01 % (26106)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 3.14/1.02 % (25956)Instruction limit reached!
% 3.14/1.02 % (25956)------------------------------
% 3.14/1.02 % (25956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/1.03 % (25947)Instruction limit reached!
% 3.14/1.03 % (25947)------------------------------
% 3.14/1.03 % (25947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/1.03 % (25947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/1.03 % (25947)Termination reason: Unknown
% 3.14/1.03 % (25947)Termination phase: Saturation
% 3.14/1.03
% 3.14/1.03 % (25947)Memory used [KB]: 2302
% 3.14/1.03 % (25947)Time elapsed: 0.441 s
% 3.14/1.03 % (25947)Instructions burned: 223 (million)
% 3.14/1.03 % (25947)------------------------------
% 3.14/1.03 % (25947)------------------------------
% 3.14/1.03 % (26115)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3217Mi)
% 3.14/1.03 % (25956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/1.03 % (25956)Termination reason: Unknown
% 3.14/1.03 % (25956)Termination phase: Saturation
% 3.14/1.03
% 3.14/1.03 % (25956)Memory used [KB]: 7164
% 3.14/1.03 % (25956)Time elapsed: 0.357 s
% 3.14/1.03 % (25956)Instructions burned: 212 (million)
% 3.14/1.03 % (25956)------------------------------
% 3.14/1.03 % (25956)------------------------------
% 3.14/1.03 % (26124)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3528Mi)
% 3.14/1.03 % (26126)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2304Mi)
% 3.14/1.06 % (25960)Instruction limit reached!
% 3.14/1.06 % (25960)------------------------------
% 3.14/1.06 % (25960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/1.06 % (25960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/1.06 % (25960)Termination reason: Unknown
% 3.14/1.06 % (25960)Termination phase: Saturation
% 3.14/1.06
% 3.14/1.06 % (25960)Memory used [KB]: 9338
% 3.14/1.06 % (25960)Time elapsed: 0.400 s
% 3.14/1.06 % (25960)Instructions burned: 213 (million)
% 3.14/1.06 % (25960)------------------------------
% 3.14/1.06 % (25960)------------------------------
% 5.74/1.08 % (25957)Instruction limit reached!
% 5.74/1.08 % (25957)------------------------------
% 5.74/1.08 % (25957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.08 % (25957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.08 % (25957)Termination reason: Unknown
% 5.74/1.08 % (25957)Termination phase: Saturation
% 5.74/1.08
% 5.74/1.08 % (25957)Memory used [KB]: 7419
% 5.74/1.08 % (25957)Time elapsed: 0.421 s
% 5.74/1.08 % (25957)Instructions burned: 274 (million)
% 5.74/1.08 % (25957)------------------------------
% 5.74/1.08 % (25957)------------------------------
% 5.74/1.09 % (25964)Refutation not found, non-redundant clauses discarded% (25964)------------------------------
% 5.74/1.09 % (25964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.09 % (25964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.09 % (25964)Termination reason: Refutation not found, non-redundant clauses discarded
% 5.74/1.09
% 5.74/1.09 % (25964)Memory used [KB]: 1791
% 5.74/1.09 % (25964)Time elapsed: 0.395 s
% 5.74/1.09 % (25964)Instructions burned: 222 (million)
% 5.74/1.09 % (25964)------------------------------
% 5.74/1.09 % (25964)------------------------------
% 5.74/1.11 % (25958)Instruction limit reached!
% 5.74/1.11 % (25958)------------------------------
% 5.74/1.11 % (25958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.11 % (25958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.11 % (25958)Termination reason: Unknown
% 5.74/1.11 % (25958)Termination phase: Saturation
% 5.74/1.11
% 5.74/1.11 % (25958)Memory used [KB]: 6140
% 5.74/1.11 % (25958)Time elapsed: 0.436 s
% 5.74/1.11 % (25958)Instructions burned: 331 (million)
% 5.74/1.11 % (25958)------------------------------
% 5.74/1.11 % (25958)------------------------------
% 5.74/1.13 % (26156)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3780Mi)
% 5.74/1.14 % (26160)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/238Mi)
% 6.36/1.16 % (26106)Instruction limit reached!
% 6.36/1.16 % (26106)------------------------------
% 6.36/1.16 % (26106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.36/1.16 % (26106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.36/1.16 % (26106)Termination reason: Unknown
% 6.36/1.16 % (26106)Termination phase: Saturation
% 6.36/1.16
% 6.36/1.16 % (26106)Memory used [KB]: 1151
% 6.36/1.16 % (26106)Time elapsed: 0.228 s
% 6.36/1.16 % (26106)Instructions burned: 115 (million)
% 6.36/1.16 % (26106)------------------------------
% 6.36/1.16 % (26106)------------------------------
% 6.36/1.17 % (25959)Instruction limit reached!
% 6.36/1.17 % (25959)------------------------------
% 6.36/1.17 % (25959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.36/1.17 % (25959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.36/1.17 % (25959)Termination reason: Unknown
% 6.36/1.17 % (25959)Termination phase: Saturation
% 6.36/1.17
% 6.36/1.17 % (25959)Memory used [KB]: 1791
% 6.36/1.17 % (25959)Time elapsed: 0.508 s
% 6.36/1.17 % (25959)Instructions burned: 294 (million)
% 6.36/1.17 % (25959)------------------------------
% 6.36/1.17 % (25959)------------------------------
% 6.36/1.18 % (26185)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=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/485Mi)
% 6.36/1.18 % (25948)Refutation not found, non-redundant clauses discarded% (25948)------------------------------
% 6.36/1.18 % (25948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.60/1.20 % (26171)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/656Mi)
% 6.60/1.20 % (25948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.60/1.20 % (25948)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.60/1.20
% 6.60/1.20 % (25948)Memory used [KB]: 3582
% 6.60/1.20 % (25948)Time elapsed: 0.596 s
% 6.60/1.20 % (25948)Instructions burned: 312 (million)
% 6.60/1.20 % (25948)------------------------------
% 6.60/1.20 % (25948)------------------------------
% 6.60/1.20 % (26205)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1302Mi)
% 6.60/1.23 % (25952)First to succeed.
% 6.84/1.23 % (25952)Refutation found. Thanks to Tanya!
% 6.84/1.23 % SZS status Theorem for theBenchmark
% 6.84/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 6.90/1.24 % (25952)------------------------------
% 6.90/1.24 % (25952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.90/1.24 % (25952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.90/1.24 % (25952)Termination reason: Refutation
% 6.90/1.24
% 6.90/1.24 % (25952)Memory used [KB]: 2558
% 6.90/1.24 % (25952)Time elapsed: 0.586 s
% 6.90/1.24 % (25952)Instructions burned: 326 (million)
% 6.90/1.24 % (25952)------------------------------
% 6.90/1.24 % (25952)------------------------------
% 6.90/1.24 % (25905)Success in time 0.896 s
%------------------------------------------------------------------------------