TSTP Solution File: SWW670_2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW670_2 : TPTP v8.1.0. Released v6.1.0.
% 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:09:27 EDT 2022
% Result : Theorem 3.40s 0.90s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 221
% Syntax : Number of formulae : 773 ( 95 unt; 65 typ; 0 def)
% Number of atoms : 2578 ( 508 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 3337 (1467 ~;1616 |; 85 &)
% ( 121 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 1041 ( 326 atm; 174 fun; 405 num; 136 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 58 ( 31 >; 27 *; 0 +; 0 <<)
% Number of predicates : 120 ( 116 usr; 114 prp; 0-2 aty)
% Number of functors : 62 ( 56 usr; 31 con; 0-5 aty)
% Number of variables : 320 ( 296 !; 24 ?; 320 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
list_int: $tType ).
tff(type_def_10,type,
option_int: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
list: ty > ty ).
tff(func_def_13,type,
nil: ty > uni ).
tff(func_def_14,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
match_list1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_16,type,
cons_proj_11: ( ty * uni ) > uni ).
tff(func_def_17,type,
cons_proj_21: ( ty * uni ) > uni ).
tff(func_def_18,type,
length1: ( ty * uni ) > $int ).
tff(func_def_21,type,
option: ty > ty ).
tff(func_def_22,type,
none: ty > uni ).
tff(func_def_23,type,
some: ( ty * uni ) > uni ).
tff(func_def_24,type,
match_option1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_25,type,
some_proj_11: ( ty * uni ) > uni ).
tff(func_def_26,type,
nth1: ( ty * $int * uni ) > uni ).
tff(func_def_28,type,
t2tb: option_int > uni ).
tff(func_def_29,type,
tb2t: uni > option_int ).
tff(func_def_30,type,
t2tb1: list_int > uni ).
tff(func_def_31,type,
tb2t1: uni > list_int ).
tff(func_def_32,type,
t2tb2: $int > uni ).
tff(func_def_33,type,
tb2t2: uni > $int ).
tff(func_def_34,type,
ref: ty > ty ).
tff(func_def_35,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_36,type,
contents: ( ty * uni ) > uni ).
tff(func_def_37,type,
hd: ( ty * uni ) > uni ).
tff(func_def_38,type,
tl: ( ty * uni ) > uni ).
tff(func_def_40,type,
sK0: ( list_int * $int ) > $int ).
tff(func_def_41,type,
sK1: list_int ).
tff(func_def_42,type,
sK2: $int ).
tff(func_def_43,type,
sK3: list_int ).
tff(func_def_44,type,
sK4: $int ).
tff(func_def_45,type,
sK5: list_int ).
tff(func_def_46,type,
sK6: $int ).
tff(func_def_47,type,
sK7: list_int > $int ).
tff(func_def_48,type,
sF8: uni ).
tff(func_def_49,type,
sF9: $int ).
tff(func_def_50,type,
sF10: $int ).
tff(func_def_51,type,
sF11: uni ).
tff(func_def_52,type,
sF12: $int ).
tff(func_def_53,type,
sF13: uni ).
tff(func_def_54,type,
sF14: list_int ).
tff(func_def_55,type,
sF15: uni ).
tff(func_def_56,type,
sF16: uni ).
tff(func_def_57,type,
sF17: option_int ).
tff(func_def_58,type,
sF18: uni ).
tff(func_def_59,type,
sF19: uni ).
tff(func_def_60,type,
sF20: uni ).
tff(func_def_61,type,
sF21: list_int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
zero_at1: ( list_int * $int ) > $o ).
tff(pred_def_5,type,
no_zero1: list_int > $o ).
tff(f1951,plain,
$false,
inference(avatar_smt_refutation,[],[f245,f249,f253,f257,f261,f262,f266,f271,f279,f288,f292,f300,f304,f308,f312,f316,f320,f325,f330,f335,f339,f346,f350,f356,f370,f380,f385,f397,f401,f406,f410,f414,f419,f424,f428,f439,f446,f459,f464,f473,f475,f480,f484,f488,f497,f501,f505,f528,f539,f543,f557,f567,f582,f614,f618,f647,f693,f704,f710,f719,f729,f733,f737,f739,f751,f755,f799,f842,f855,f859,f878,f884,f897,f904,f914,f918,f947,f948,f955,f985,f997,f1001,f1034,f1039,f1066,f1068,f1069,f1078,f1082,f1088,f1155,f1191,f1195,f1219,f1226,f1228,f1242,f1269,f1273,f1291,f1298,f1321,f1374,f1393,f1397,f1399,f1453,f1457,f1478,f1507,f1522,f1564,f1574,f1576,f1577,f1578,f1582,f1583,f1584,f1592,f1605,f1731,f1732,f1745,f1749,f1763,f1810,f1863,f1884,f1945]) ).
tff(f1945,plain,
( spl22_93
| ~ spl22_100
| ~ spl22_105 ),
inference(avatar_contradiction_clause,[],[f1944]) ).
tff(f1944,plain,
( $false
| spl22_93
| ~ spl22_100
| ~ spl22_105 ),
inference(subsumption_resolution,[],[f1943,f1290]) ).
tff(f1290,plain,
( $less(sK0(sK1,sK2),sK2)
| ~ spl22_100 ),
inference(avatar_component_clause,[],[f1289]) ).
tff(f1289,plain,
( spl22_100
<=> $less(sK0(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_100])]) ).
tff(f1943,plain,
( ~ $less(sK0(sK1,sK2),sK2)
| spl22_93
| ~ spl22_105 ),
inference(subsumption_resolution,[],[f1939,f1194]) ).
tff(f1194,plain,
( ~ $less(sK0(sK1,sK2),0)
| spl22_93 ),
inference(avatar_component_clause,[],[f1193]) ).
tff(f1193,plain,
( spl22_93
<=> $less(sK0(sK1,sK2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_93])]) ).
tff(f1939,plain,
( $less(sK0(sK1,sK2),0)
| ~ $less(sK0(sK1,sK2),sK2)
| ~ spl22_105 ),
inference(trivial_inequality_removal,[],[f1929]) ).
tff(f1929,plain,
( ( sF17 != sF17 )
| ~ $less(sK0(sK1,sK2),sK2)
| $less(sK0(sK1,sK2),0)
| ~ spl22_105 ),
inference(superposition,[],[f233,f1477]) ).
tff(f1477,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| ~ spl22_105 ),
inference(avatar_component_clause,[],[f1476]) ).
tff(f1476,plain,
( spl22_105
<=> ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_105])]) ).
tff(f233,plain,
! [X3: $int] :
( ( sF17 != tb2t(nth1(int,X3,sF11)) )
| ~ $less(X3,sK2)
| $less(X3,0) ),
inference(definition_folding,[],[f187,f222,f232,f231,f230]) ).
tff(f230,plain,
t2tb2(0) = sF15,
introduced(function_definition,[]) ).
tff(f231,plain,
some(int,sF15) = sF16,
introduced(function_definition,[]) ).
tff(f232,plain,
sF17 = tb2t(sF16),
introduced(function_definition,[]) ).
tff(f222,plain,
sF11 = t2tb1(sK1),
introduced(function_definition,[]) ).
tff(f187,plain,
! [X3: $int] :
( $less(X3,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK1))) )
| ~ $less(X3,sK2) ),
inference(cnf_transformation,[],[f142]) ).
tff(f142,plain,
? [X1: list_int,X2: $int,X0: list_int] :
( ( length1(int,t2tb1(X1)) = $sum(X2,length1(int,t2tb1(X0))) )
& ! [X3: $int] :
( ~ $less(X3,X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X1))) )
| $less(X3,0) )
& ! [X4: $int] :
( $less(X4,0)
| ( tb2t(nth1(int,$sum(X2,X4),t2tb1(X1))) = tb2t(nth1(int,X4,t2tb1(X0))) ) )
& ? [X5: $int] :
( ? [X6: list_int,X7: $int] :
( ( X5 = X7 )
& ( tb2t1(cons(int,t2tb2(X7),t2tb1(X6))) = X0 ) )
& ( ( length1(int,t2tb1(X1)) != X2 )
| ~ no_zero1(X1) )
& ( 0 = X5 )
& ( $less(X2,0)
| ~ $less(X2,length1(int,t2tb1(X1)))
| ~ zero_at1(X1,X2) ) )
& ( tb2t1(nil(int)) != X0 )
& ( tb2t1(nil(int)) != X0 )
& ~ $less(X2,0) ),
inference(flattening,[],[f141]) ).
tff(f141,plain,
? [X1: list_int,X2: $int,X0: list_int] :
( ? [X5: $int] :
( ( ( length1(int,t2tb1(X1)) != X2 )
| ~ no_zero1(X1) )
& ( $less(X2,0)
| ~ $less(X2,length1(int,t2tb1(X1)))
| ~ zero_at1(X1,X2) )
& ( 0 = X5 )
& ? [X6: list_int,X7: $int] :
( ( X5 = X7 )
& ( tb2t1(cons(int,t2tb2(X7),t2tb1(X6))) = X0 ) ) )
& ( tb2t1(nil(int)) != X0 )
& ( tb2t1(nil(int)) != X0 )
& ~ $less(X2,0)
& ( length1(int,t2tb1(X1)) = $sum(X2,length1(int,t2tb1(X0))) )
& ! [X3: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X1))) )
| ~ $less(X3,X2)
| $less(X3,0) )
& ! [X4: $int] :
( $less(X4,0)
| ( tb2t(nth1(int,$sum(X2,X4),t2tb1(X1))) = tb2t(nth1(int,X4,t2tb1(X0))) ) ) ),
inference(ennf_transformation,[],[f110]) ).
tff(f110,plain,
~ ! [X1: list_int,X2: $int,X0: list_int] :
( ( ~ $less(X2,0)
& ( length1(int,t2tb1(X1)) = $sum(X2,length1(int,t2tb1(X0))) )
& ! [X3: $int] :
( ( $less(X3,X2)
& ~ $less(X3,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X1))) ) )
& ! [X4: $int] :
( ~ $less(X4,0)
=> ( tb2t(nth1(int,$sum(X2,X4),t2tb1(X1))) = tb2t(nth1(int,X4,t2tb1(X0))) ) ) )
=> ( ( tb2t1(nil(int)) != X0 )
=> ( ( tb2t1(nil(int)) != X0 )
=> ! [X5: $int] :
( ? [X6: list_int,X7: $int] :
( ( X5 = X7 )
& ( tb2t1(cons(int,t2tb2(X7),t2tb1(X6))) = X0 ) )
=> ( ( 0 = X5 )
=> ( ( ( length1(int,t2tb1(X1)) = X2 )
& no_zero1(X1) )
| ( $less(X2,length1(int,t2tb1(X1)))
& ~ $less(X2,0)
& zero_at1(X1,X2) ) ) ) ) ) ) ),
inference(rectify,[],[f60]) ).
tff(f60,plain,
~ ! [X16: list_int,X12: list_int,X14: $int] :
( ( ! [X15: $int] :
( ( ~ $less(X15,0)
& $less(X15,X14) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& ~ $less(X14,0)
& ! [X15: $int] :
( ~ $less(X15,0)
=> ( tb2t(nth1(int,X15,t2tb1(X16))) = tb2t(nth1(int,$sum(X14,X15),t2tb1(X12))) ) )
& ( length1(int,t2tb1(X12)) = $sum(X14,length1(int,t2tb1(X16))) ) )
=> ( ( tb2t1(nil(int)) != X16 )
=> ( ( tb2t1(nil(int)) != X16 )
=> ! [X17: $int] :
( ? [X2: list_int,X1: $int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = X16 )
& ( X1 = X17 ) )
=> ( ( 0 = X17 )
=> ( ( ( length1(int,t2tb1(X12)) = X14 )
& no_zero1(X12) )
| ( ~ $less(X14,0)
& zero_at1(X12,X14)
& $less(X14,length1(int,t2tb1(X12))) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f54]) ).
tff(f54,negated_conjecture,
~ ! [X16: list_int,X12: list_int,X14: $int] :
( ( ! [X15: $int] :
( ( $lesseq(0,X15)
& $less(X15,X14) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& $lesseq(0,X14)
& ! [X15: $int] :
( $lesseq(0,X15)
=> ( tb2t(nth1(int,X15,t2tb1(X16))) = tb2t(nth1(int,$sum(X14,X15),t2tb1(X12))) ) )
& ( length1(int,t2tb1(X12)) = $sum(X14,length1(int,t2tb1(X16))) ) )
=> ( ( tb2t1(nil(int)) != X16 )
=> ( ( tb2t1(nil(int)) != X16 )
=> ! [X17: $int] :
( ? [X2: list_int,X1: $int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = X16 )
& ( X1 = X17 ) )
=> ( ( 0 = X17 )
=> ( ( ( length1(int,t2tb1(X12)) = X14 )
& no_zero1(X12) )
| ( $lesseq(0,X14)
& zero_at1(X12,X14)
& $less(X14,length1(int,t2tb1(X12))) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
! [X16: list_int,X12: list_int,X14: $int] :
( ( ! [X15: $int] :
( ( $lesseq(0,X15)
& $less(X15,X14) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& $lesseq(0,X14)
& ! [X15: $int] :
( $lesseq(0,X15)
=> ( tb2t(nth1(int,X15,t2tb1(X16))) = tb2t(nth1(int,$sum(X14,X15),t2tb1(X12))) ) )
& ( length1(int,t2tb1(X12)) = $sum(X14,length1(int,t2tb1(X16))) ) )
=> ( ( tb2t1(nil(int)) != X16 )
=> ( ( tb2t1(nil(int)) != X16 )
=> ! [X17: $int] :
( ? [X2: list_int,X1: $int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = X16 )
& ( X1 = X17 ) )
=> ( ( 0 = X17 )
=> ( ( ( length1(int,t2tb1(X12)) = X14 )
& no_zero1(X12) )
| ( $lesseq(0,X14)
& zero_at1(X12,X14)
& $less(X14,length1(int,t2tb1(X12))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_search_loop) ).
tff(f1884,plain,
( spl22_113
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f1794,f495,f1882]) ).
tff(f1882,plain,
( spl22_113
<=> ( nth1(int,1,sF8) = nth1(int,0,sF19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_113])]) ).
tff(f495,plain,
( spl22_48
<=> ( cons(int,sF15,sF19) = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_48])]) ).
tff(f1794,plain,
( ( nth1(int,1,sF8) = nth1(int,0,sF19) )
| ~ spl22_48 ),
inference(evaluation,[],[f1792]) ).
tff(f1792,plain,
( ( nth1(int,0,sF19) = nth1(int,$uminus(-1),sF8) )
| ( 0 = $uminus(-1) )
| ~ spl22_48 ),
inference(superposition,[],[f986,f431]) ).
tff(f431,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f65,f71]) ).
tff(f71,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f65,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f986,plain,
( ! [X0: $int] :
( ( nth1(int,X0,sF8) = nth1(int,$sum(X0,-1),sF19) )
| ( 0 = X0 ) )
| ~ spl22_48 ),
inference(superposition,[],[f241,f496]) ).
tff(f496,plain,
( ( cons(int,sF15,sF19) = sF8 )
| ~ spl22_48 ),
inference(avatar_component_clause,[],[f495]) ).
tff(f241,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ( nth1(X0,$sum(X1,-1),X3) = nth1(X0,X1,cons(X0,X2,X3)) )
| ( 0 = X1 ) ),
inference(evaluation,[],[f209]) ).
tff(f209,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ( nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) )
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f144]) ).
tff(f144,plain,
! [X0: ty,X1: $int] :
( ! [X2: uni,X3: uni] :
( ( ( nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) )
| ( 0 = X1 ) )
& ( ( nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) )
| ( 0 != X1 ) ) )
& ( none(X0) = nth1(X0,X1,nil(X0)) ) ),
inference(ennf_transformation,[],[f106]) ).
tff(f106,plain,
! [X0: ty,X1: $int] :
( ( none(X0) = nth1(X0,X1,nil(X0)) )
& ! [X3: uni,X2: uni] :
( ( ( 0 = X1 )
=> ( nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) ) )
& ( ( 0 != X1 )
=> ( nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) ) ) ) ),
inference(rectify,[],[f59]) ).
tff(f59,plain,
! [X0: ty,X13: $int] :
( ( none(X0) = nth1(X0,X13,nil(X0)) )
& ! [X1: uni,X2: uni] :
( ( ( 0 != X13 )
=> ( nth1(X0,X13,cons(X0,X1,X2)) = nth1(X0,$sum(X13,$uminus(1)),X2) ) )
& ( ( 0 = X13 )
=> ( some(X0,X1) = nth1(X0,X13,cons(X0,X1,X2)) ) ) ) ),
inference(theory_normalization,[],[f33]) ).
tff(f33,axiom,
! [X0: ty,X13: $int] :
( ( none(X0) = nth1(X0,X13,nil(X0)) )
& ! [X1: uni,X2: uni] :
( ( ( 0 != X13 )
=> ( nth1(X0,X13,cons(X0,X1,X2)) = nth1(X0,$difference(X13,1),X2) ) )
& ( ( 0 = X13 )
=> ( some(X0,X1) = nth1(X0,X13,cons(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nth_def) ).
tff(f1863,plain,
( spl22_112
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f534,f306,f1861]) ).
tff(f1861,plain,
( spl22_112
<=> ( none(int) = hd(int,sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_112])]) ).
tff(f306,plain,
( spl22_15
<=> ( nil(int) = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
tff(f534,plain,
( ( none(int) = hd(int,sF13) )
| ~ spl22_15 ),
inference(superposition,[],[f212,f307]) ).
tff(f307,plain,
( ( nil(int) = sF13 )
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f306]) ).
tff(f212,plain,
! [X0: ty] : ( none(X0) = hd(X0,nil(X0)) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,axiom,
! [X0: ty] :
( ! [X1: uni,X2: uni] : ( some(X0,X1) = hd(X0,cons(X0,X1,X2)) )
& ( none(X0) = hd(X0,nil(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hd_def) ).
tff(f1810,plain,
( spl22_111
| ~ spl22_100
| ~ spl22_104 ),
inference(avatar_split_clause,[],[f1805,f1455,f1289,f1808]) ).
tff(f1808,plain,
( spl22_111
<=> $less(sK0(sK1,sK2),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_111])]) ).
tff(f1455,plain,
( spl22_104
<=> $less(sK2,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_104])]) ).
tff(f1805,plain,
( $less(sK0(sK1,sK2),sF9)
| ~ spl22_100
| ~ spl22_104 ),
inference(resolution,[],[f1496,f1290]) ).
tff(f1496,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sF9) )
| ~ spl22_104 ),
inference(resolution,[],[f1456,f67]) ).
tff(f67,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f1456,plain,
( $less(sK2,sF9)
| ~ spl22_104 ),
inference(avatar_component_clause,[],[f1455]) ).
tff(f1763,plain,
( spl22_110
| ~ spl22_10
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1739,f1289,f283,f1761]) ).
tff(f1761,plain,
( spl22_110
<=> $less(sK0(sK1,sK2),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_110])]) ).
tff(f283,plain,
( spl22_10
<=> $less(sK2,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
tff(f1739,plain,
( $less(sK0(sK1,sK2),sF10)
| ~ spl22_10
| ~ spl22_100 ),
inference(resolution,[],[f1398,f1290]) ).
tff(f1398,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sF10) )
| ~ spl22_10 ),
inference(resolution,[],[f1320,f67]) ).
tff(f1320,plain,
( $less(sK2,sF10)
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f283]) ).
tff(f1749,plain,
( ~ spl22_85
| spl22_109
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1416,f426,f318,f314,f310,f306,f1747,f980]) ).
tff(f980,plain,
( spl22_85
<=> ( sF17 = tb2t(none(int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_85])]) ).
tff(f1747,plain,
( spl22_109
<=> ! [X5: $int] :
( zero_at1(sF14,X5)
| $less(sK0(sF14,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_109])]) ).
tff(f310,plain,
( spl22_16
<=> ( tb2t1(sF13) = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
tff(f314,plain,
( spl22_17
<=> ( t2tb2(0) = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
tff(f318,plain,
( spl22_18
<=> ( sF17 = tb2t(sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
tff(f426,plain,
( spl22_36
<=> ( some(int,sF15) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_36])]) ).
tff(f1416,plain,
( ! [X5: $int] :
( zero_at1(sF14,X5)
| $less(sK0(sF14,X5),X5)
| ( sF17 != tb2t(none(int)) ) )
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1415,f311]) ).
tff(f311,plain,
( ( tb2t1(sF13) = sF14 )
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f310]) ).
tff(f1415,plain,
( ! [X5: $int] :
( $less(sK0(sF14,X5),X5)
| zero_at1(tb2t1(sF13),X5)
| ( sF17 != tb2t(none(int)) ) )
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1414,f307]) ).
tff(f1414,plain,
( ! [X5: $int] :
( ( sF17 != tb2t(none(int)) )
| $less(sK0(sF14,X5),X5)
| zero_at1(tb2t1(nil(int)),X5) )
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1413,f311]) ).
tff(f1413,plain,
( ! [X5: $int] :
( $less(sK0(tb2t1(sF13),X5),X5)
| ( sF17 != tb2t(none(int)) )
| zero_at1(tb2t1(nil(int)),X5) )
| ~ spl22_15
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1408,f307]) ).
tff(f1408,plain,
( ! [X5: $int] :
( ( sF17 != tb2t(none(int)) )
| $less(sK0(tb2t1(nil(int)),X5),X5)
| zero_at1(tb2t1(nil(int)),X5) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1089,f211]) ).
tff(f211,plain,
! [X0: ty,X1: $int] : ( none(X0) = nth1(X0,X1,nil(X0)) ),
inference(cnf_transformation,[],[f144]) ).
tff(f1089,plain,
( ! [X0: uni,X1: $int] :
( ( sF17 != tb2t(nth1(int,X1,X0)) )
| $less(sK0(tb2t1(X0),X1),X1)
| zero_at1(tb2t1(X0),X1) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1042,f215]) ).
tff(f215,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f82]) ).
tff(f82,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X15: uni] : ( t2tb1(tb2t1(X15)) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1) ).
tff(f1042,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(nth1(int,X1,t2tb1(X0))) != sF17 )
| $less(sK0(X0,X1),X1)
| zero_at1(X0,X1) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1041,f319]) ).
tff(f319,plain,
( ( sF17 = tb2t(sF16) )
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f318]) ).
tff(f1041,plain,
( ! [X0: list_int,X1: $int] :
( $less(sK0(X0,X1),X1)
| zero_at1(X0,X1)
| ( tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(sF16) ) )
| ~ spl22_17
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1040,f427]) ).
tff(f427,plain,
( ( some(int,sF15) = sF16 )
| ~ spl22_36 ),
inference(avatar_component_clause,[],[f426]) ).
tff(f1040,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,sF15)) )
| zero_at1(X0,X1)
| $less(sK0(X0,X1),X1) )
| ~ spl22_17 ),
inference(forward_demodulation,[],[f156,f315]) ).
tff(f315,plain,
( ( t2tb2(0) = sF15 )
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f314]) ).
tff(f156,plain,
! [X0: list_int,X1: $int] :
( zero_at1(X0,X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| $less(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f132]) ).
tff(f132,plain,
! [X1: $int,X0: list_int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| ? [X2: $int] :
( $less(X2,X1)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) )
& ~ $less(X2,0) )
| zero_at1(X0,X1) ),
inference(flattening,[],[f131]) ).
tff(f131,plain,
! [X1: $int,X0: list_int] :
( zero_at1(X0,X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| ? [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) )
& $less(X2,X1)
& ~ $less(X2,0) ) ),
inference(ennf_transformation,[],[f124]) ).
tff(f124,plain,
! [X1: $int,X0: list_int] :
( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ! [X2: $int] :
( ( $less(X2,X1)
& ~ $less(X2,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) ) )
=> zero_at1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f79]) ).
tff(f79,plain,
! [X1: $int,X0: list_int] :
( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ! [X2: $int] :
( ( $less(X2,X1)
& ~ $less(X2,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) ) )
<=> zero_at1(X0,X1) ),
inference(rectify,[],[f55]) ).
tff(f55,plain,
! [X12: list_int,X14: $int] :
( ( ( tb2t(nth1(int,X14,t2tb1(X12))) = tb2t(some(int,t2tb2(0))) )
& ! [X15: $int] :
( ( ~ $less(X15,0)
& $less(X15,X14) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) ) )
<=> zero_at1(X12,X14) ),
inference(theory_normalization,[],[f43]) ).
tff(f43,axiom,
! [X12: list_int,X14: $int] :
( ( ( tb2t(nth1(int,X14,t2tb1(X12))) = tb2t(some(int,t2tb2(0))) )
& ! [X15: $int] :
( ( $lesseq(0,X15)
& $less(X15,X14) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) ) )
<=> zero_at1(X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_at_def) ).
tff(f1745,plain,
( spl22_108
| ~ spl22_85
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1356,f426,f318,f314,f310,f306,f980,f1742]) ).
tff(f1742,plain,
( spl22_108
<=> ! [X5: $int] :
( zero_at1(sF14,X5)
| ~ $less(sK0(sF14,X5),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_108])]) ).
tff(f1356,plain,
( ! [X5: $int] :
( ( sF17 != tb2t(none(int)) )
| zero_at1(sF14,X5)
| ~ $less(sK0(sF14,X5),0) )
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1355,f311]) ).
tff(f1355,plain,
( ! [X5: $int] :
( ( sF17 != tb2t(none(int)) )
| ~ $less(sK0(sF14,X5),0)
| zero_at1(tb2t1(sF13),X5) )
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1354,f307]) ).
tff(f1354,plain,
( ! [X5: $int] :
( ~ $less(sK0(sF14,X5),0)
| ( sF17 != tb2t(none(int)) )
| zero_at1(tb2t1(nil(int)),X5) )
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1353,f311]) ).
tff(f1353,plain,
( ! [X5: $int] :
( ( sF17 != tb2t(none(int)) )
| ~ $less(sK0(tb2t1(sF13),X5),0)
| zero_at1(tb2t1(nil(int)),X5) )
| ~ spl22_15
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1330,f307]) ).
tff(f1330,plain,
( ! [X5: $int] :
( ( sF17 != tb2t(none(int)) )
| ~ $less(sK0(tb2t1(nil(int)),X5),0)
| zero_at1(tb2t1(nil(int)),X5) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1050,f211]) ).
tff(f1050,plain,
( ! [X0: uni,X1: $int] :
( ( sF17 != tb2t(nth1(int,X1,X0)) )
| zero_at1(tb2t1(X0),X1)
| ~ $less(sK0(tb2t1(X0),X1),0) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1037,f215]) ).
tff(f1037,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(nth1(int,X1,t2tb1(X0))) != sF17 )
| zero_at1(X0,X1)
| ~ $less(sK0(X0,X1),0) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1036,f319]) ).
tff(f1036,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(sF16) )
| zero_at1(X0,X1)
| ~ $less(sK0(X0,X1),0) )
| ~ spl22_17
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1035,f427]) ).
tff(f1035,plain,
( ! [X0: list_int,X1: $int] :
( ~ $less(sK0(X0,X1),0)
| ( tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,sF15)) )
| zero_at1(X0,X1) )
| ~ spl22_17 ),
inference(forward_demodulation,[],[f154,f315]) ).
tff(f154,plain,
! [X0: list_int,X1: $int] :
( zero_at1(X0,X1)
| ~ $less(sK0(X0,X1),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) ),
inference(cnf_transformation,[],[f132]) ).
tff(f1732,plain,
( spl22_86
| spl22_88
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1612,f426,f318,f314,f310,f999,f983]) ).
tff(f983,plain,
( spl22_86
<=> no_zero1(sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_86])]) ).
tff(f999,plain,
( spl22_88
<=> ( sF17 = tb2t(nth1(int,sK7(sF14),sF13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_88])]) ).
tff(f1612,plain,
( ( sF17 = tb2t(nth1(int,sK7(sF14),sF13)) )
| no_zero1(sF14)
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1026,f311]) ).
tff(f1026,plain,
( ! [X0: uni] :
( ( sF17 = tb2t(nth1(int,sK7(tb2t1(X0)),X0)) )
| no_zero1(tb2t1(X0)) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f919,f215]) ).
tff(f919,plain,
( ! [X0: list_int] :
( ( sF17 = tb2t(nth1(int,sK7(X0),t2tb1(X0))) )
| no_zero1(X0) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f885,f214]) ).
tff(f214,plain,
! [X0: list_int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(cnf_transformation,[],[f99]) ).
tff(f99,plain,
! [X0: list_int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X14: list_int] : ( tb2t1(t2tb1(X14)) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1) ).
tff(f885,plain,
( ! [X0: uni] :
( ( sF17 = tb2t(nth1(int,sK7(tb2t1(X0)),X0)) )
| no_zero1(tb2t1(X0)) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f874,f215]) ).
tff(f874,plain,
( ! [X0: list_int] :
( ( sF17 = tb2t(nth1(int,sK7(X0),t2tb1(X0))) )
| no_zero1(X0) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f873,f319]) ).
tff(f873,plain,
( ! [X0: list_int] :
( no_zero1(X0)
| ( tb2t(sF16) = tb2t(nth1(int,sK7(X0),t2tb1(X0))) ) )
| ~ spl22_17
| ~ spl22_36 ),
inference(forward_demodulation,[],[f872,f427]) ).
tff(f872,plain,
( ! [X0: list_int] :
( no_zero1(X0)
| ( tb2t(nth1(int,sK7(X0),t2tb1(X0))) = tb2t(some(int,sF15)) ) )
| ~ spl22_17 ),
inference(forward_demodulation,[],[f203,f315]) ).
tff(f203,plain,
! [X0: list_int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0),t2tb1(X0))) )
| no_zero1(X0) ),
inference(cnf_transformation,[],[f127]) ).
tff(f127,plain,
! [X0: list_int] :
( no_zero1(X0)
| ? [X1: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ~ $less(X1,0)
& $less(X1,length1(int,t2tb1(X0))) ) ),
inference(flattening,[],[f126]) ).
tff(f126,plain,
! [X0: list_int] :
( no_zero1(X0)
| ? [X1: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ~ $less(X1,0)
& $less(X1,length1(int,t2tb1(X0))) ) ),
inference(ennf_transformation,[],[f123]) ).
tff(f123,plain,
! [X0: list_int] :
( ! [X1: $int] :
( ( ~ $less(X1,0)
& $less(X1,length1(int,t2tb1(X0))) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) )
=> no_zero1(X0) ),
inference(unused_predicate_definition_removal,[],[f102]) ).
tff(f102,plain,
! [X0: list_int] :
( ! [X1: $int] :
( ( ~ $less(X1,0)
& $less(X1,length1(int,t2tb1(X0))) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) )
<=> no_zero1(X0) ),
inference(rectify,[],[f58]) ).
tff(f58,plain,
! [X12: list_int] :
( no_zero1(X12)
<=> ! [X15: $int] :
( ( $less(X15,length1(int,t2tb1(X12)))
& ~ $less(X15,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) ) ),
inference(theory_normalization,[],[f44]) ).
tff(f44,axiom,
! [X12: list_int] :
( no_zero1(X12)
<=> ! [X15: $int] :
( ( $less(X15,length1(int,t2tb1(X12)))
& $lesseq(0,X15) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_zero_def) ).
tff(f1731,plain,
( spl22_85
| spl22_86
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1672,f426,f318,f314,f310,f306,f983,f980]) ).
tff(f1672,plain,
( no_zero1(sF14)
| ( sF17 = tb2t(none(int)) )
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1671,f311]) ).
tff(f1671,plain,
( ( sF17 = tb2t(none(int)) )
| no_zero1(tb2t1(sF13))
| ~ spl22_15
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1615,f307]) ).
tff(f1615,plain,
( no_zero1(tb2t1(nil(int)))
| ( sF17 = tb2t(none(int)) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1026,f211]) ).
tff(f1605,plain,
( spl22_88
| spl22_86
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_53 ),
inference(avatar_split_clause,[],[f1212,f541,f426,f318,f314,f983,f999]) ).
tff(f541,plain,
( spl22_53
<=> ( sF13 = t2tb1(sF14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_53])]) ).
tff(f1212,plain,
( no_zero1(sF14)
| ( sF17 = tb2t(nth1(int,sK7(sF14),sF13)) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_53 ),
inference(superposition,[],[f919,f542]) ).
tff(f542,plain,
( ( sF13 = t2tb1(sF14) )
| ~ spl22_53 ),
inference(avatar_component_clause,[],[f541]) ).
tff(f1592,plain,
( spl22_105
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1515,f853,f426,f318,f314,f302,f286,f1476]) ).
tff(f286,plain,
( spl22_11
<=> zero_at1(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
tff(f302,plain,
( spl22_14
<=> ( sF11 = t2tb1(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
tff(f853,plain,
( spl22_71
<=> ( nth1(int,0,sF8) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_71])]) ).
tff(f1515,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1514,f287]) ).
tff(f287,plain,
( ~ zero_at1(sK1,sK2)
| spl22_11 ),
inference(avatar_component_clause,[],[f286]) ).
tff(f1514,plain,
( zero_at1(sK1,sK2)
| ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1513,f506]) ).
tff(f506,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f61,f63]) ).
tff(f63,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f61,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f1513,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| zero_at1(sK1,$sum(0,sK2))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1512,f506]) ).
tff(f1512,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(0,sK2)),sF11)) )
| zero_at1(sK1,$sum(0,sK2))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1511,f319]) ).
tff(f1511,plain,
( zero_at1(sK1,$sum(0,sK2))
| ( sF17 != tb2t(sF16) )
| ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(0,sK2)),sF11)) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(evaluation,[],[f1509]) ).
tff(f1509,plain,
( $less(0,0)
| ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(0,sK2)),sF11)) )
| ( sF17 != tb2t(sF16) )
| zero_at1(sK1,$sum(0,sK2))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1437,f854]) ).
tff(f854,plain,
( ( nth1(int,0,sF8) = sF16 )
| ~ spl22_71 ),
inference(avatar_component_clause,[],[f853]) ).
tff(f1437,plain,
( ! [X1: $int] :
( ( sF17 != tb2t(nth1(int,X1,sF8)) )
| zero_at1(sK1,$sum(X1,sK2))
| ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(X1,sK2)),sF11)) )
| $less(X1,0) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1163,f509]) ).
tff(f509,plain,
! [X2: $int] :
( ( nth1(int,X2,sF8) = nth1(int,$sum(X2,sK2),sF11) )
| $less(X2,0) ),
inference(superposition,[],[f359,f61]) ).
tff(f359,plain,
! [X0: $int] :
( ( nth1(int,X0,sF8) = nth1(int,$sum(sK2,X0),sF11) )
| $less(X0,0) ),
inference(forward_demodulation,[],[f357,f153]) ).
tff(f153,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X15: uni] : ( t2tb(tb2t(X15)) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR) ).
tff(f357,plain,
! [X0: $int] :
( $less(X0,0)
| ( nth1(int,$sum(sK2,X0),sF11) = t2tb(tb2t(nth1(int,X0,sF8))) ) ),
inference(superposition,[],[f153,f229]) ).
tff(f229,plain,
! [X4: $int] :
( ( tb2t(nth1(int,$sum(sK2,X4),sF11)) = tb2t(nth1(int,X4,sF8)) )
| $less(X4,0) ),
inference(definition_folding,[],[f188,f222,f219]) ).
tff(f219,plain,
t2tb1(sK3) = sF8,
introduced(function_definition,[]) ).
tff(f188,plain,
! [X4: $int] :
( ( tb2t(nth1(int,X4,t2tb1(sK3))) = tb2t(nth1(int,$sum(sK2,X4),t2tb1(sK1))) )
| $less(X4,0) ),
inference(cnf_transformation,[],[f142]) ).
tff(f1163,plain,
( ! [X2: $int] :
( ( sF17 != tb2t(nth1(int,X2,sF11)) )
| ( sF17 = tb2t(nth1(int,sK0(sK1,X2),sF11)) )
| zero_at1(sK1,X2) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1048,f303]) ).
tff(f303,plain,
( ( sF11 = t2tb1(sK1) )
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f302]) ).
tff(f1048,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(nth1(int,X1,t2tb1(X0))) != sF17 )
| zero_at1(X0,X1)
| ( sF17 = tb2t(nth1(int,sK0(X0,X1),t2tb1(X0))) ) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1047,f319]) ).
tff(f1047,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(nth1(int,X1,t2tb1(X0))) != sF17 )
| zero_at1(X0,X1)
| ( tb2t(nth1(int,sK0(X0,X1),t2tb1(X0))) = tb2t(sF16) ) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1046,f319]) ).
tff(f1046,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(sF16) )
| zero_at1(X0,X1)
| ( tb2t(nth1(int,sK0(X0,X1),t2tb1(X0))) = tb2t(sF16) ) )
| ~ spl22_17
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1045,f427]) ).
tff(f1045,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(nth1(int,sK0(X0,X1),t2tb1(X0))) = tb2t(some(int,sF15)) )
| ( tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(sF16) )
| zero_at1(X0,X1) )
| ~ spl22_17
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1044,f315]) ).
tff(f1044,plain,
( ! [X0: list_int,X1: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X0,X1),t2tb1(X0))) )
| zero_at1(X0,X1)
| ( tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(sF16) ) )
| ~ spl22_17
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1043,f427]) ).
tff(f1043,plain,
( ! [X0: list_int,X1: $int] :
( zero_at1(X0,X1)
| ( tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,sF15)) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X0,X1),t2tb1(X0))) ) )
| ~ spl22_17 ),
inference(forward_demodulation,[],[f155,f315]) ).
tff(f155,plain,
! [X0: list_int,X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| zero_at1(X0,X1)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X0,X1),t2tb1(X0))) ) ),
inference(cnf_transformation,[],[f132]) ).
tff(f1584,plain,
( spl22_105
| spl22_11
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_49
| ~ spl22_72 ),
inference(avatar_split_clause,[],[f1558,f857,f499,f426,f318,f314,f286,f1476]) ).
tff(f499,plain,
( spl22_49
<=> ( sK1 = tb2t1(sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_49])]) ).
tff(f857,plain,
( spl22_72
<=> ( nth1(int,sK2,sF11) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_72])]) ).
tff(f1558,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| spl22_11
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_49
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1557,f287]) ).
tff(f1557,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| zero_at1(sK1,sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_49
| ~ spl22_72 ),
inference(forward_demodulation,[],[f1556,f500]) ).
tff(f500,plain,
( ( sK1 = tb2t1(sF11) )
| ~ spl22_49 ),
inference(avatar_component_clause,[],[f499]) ).
tff(f1556,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| zero_at1(tb2t1(sF11),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_49
| ~ spl22_72 ),
inference(forward_demodulation,[],[f1555,f500]) ).
tff(f1555,plain,
( ( sF17 = tb2t(nth1(int,sK0(tb2t1(sF11),sK2),sF11)) )
| zero_at1(tb2t1(sF11),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1532,f319]) ).
tff(f1532,plain,
( ( sF17 = tb2t(nth1(int,sK0(tb2t1(sF11),sK2),sF11)) )
| zero_at1(tb2t1(sF11),sK2)
| ( sF17 != tb2t(sF16) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(superposition,[],[f1162,f858]) ).
tff(f858,plain,
( ( nth1(int,sK2,sF11) = sF16 )
| ~ spl22_72 ),
inference(avatar_component_clause,[],[f857]) ).
tff(f1162,plain,
( ! [X0: uni,X1: $int] :
( ( sF17 != tb2t(nth1(int,X1,X0)) )
| ( sF17 = tb2t(nth1(int,sK0(tb2t1(X0),X1),X0)) )
| zero_at1(tb2t1(X0),X1) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1048,f215]) ).
tff(f1583,plain,
( spl22_107
| spl22_95
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1571,f853,f426,f318,f314,f298,f1237,f1580]) ).
tff(f1580,plain,
( spl22_107
<=> ( sF17 = tb2t(nth1(int,sK0(sK3,0),sF8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_107])]) ).
tff(f1237,plain,
( spl22_95
<=> zero_at1(sK3,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_95])]) ).
tff(f298,plain,
( spl22_13
<=> ( t2tb1(sK3) = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
tff(f1571,plain,
( zero_at1(sK3,0)
| ( sF17 = tb2t(nth1(int,sK0(sK3,0),sF8)) )
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1447,f319]) ).
tff(f1447,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK3,0),sF8)) )
| zero_at1(sK3,0)
| ( sF17 != tb2t(sF16) )
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1164,f854]) ).
tff(f1164,plain,
( ! [X3: $int] :
( ( sF17 != tb2t(nth1(int,X3,sF8)) )
| zero_at1(sK3,X3)
| ( sF17 = tb2t(nth1(int,sK0(sK3,X3),sF8)) ) )
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1048,f299]) ).
tff(f299,plain,
( ( t2tb1(sK3) = sF8 )
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f298]) ).
tff(f1582,plain,
( spl22_107
| spl22_95
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1546,f853,f426,f399,f318,f314,f1237,f1580]) ).
tff(f399,plain,
( spl22_30
<=> ( tb2t1(sF8) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).
tff(f1546,plain,
( zero_at1(sK3,0)
| ( sF17 = tb2t(nth1(int,sK0(sK3,0),sF8)) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1545,f400]) ).
tff(f400,plain,
( ( tb2t1(sF8) = sK3 )
| ~ spl22_30 ),
inference(avatar_component_clause,[],[f399]) ).
tff(f1545,plain,
( zero_at1(tb2t1(sF8),0)
| ( sF17 = tb2t(nth1(int,sK0(sK3,0),sF8)) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1544,f400]) ).
tff(f1544,plain,
( ( sF17 = tb2t(nth1(int,sK0(tb2t1(sF8),0),sF8)) )
| zero_at1(tb2t1(sF8),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1528,f319]) ).
tff(f1528,plain,
( ( sF17 = tb2t(nth1(int,sK0(tb2t1(sF8),0),sF8)) )
| zero_at1(tb2t1(sF8),0)
| ( sF17 != tb2t(sF16) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1162,f854]) ).
tff(f1578,plain,
( ~ spl22_96
| spl22_95
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1573,f853,f426,f399,f318,f314,f1237,f1240]) ).
tff(f1240,plain,
( spl22_96
<=> $less(sK0(sK3,0),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_96])]) ).
tff(f1573,plain,
( zero_at1(sK3,0)
| ~ $less(sK0(sK3,0),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1339,f400]) ).
tff(f1339,plain,
( ~ $less(sK0(tb2t1(sF8),0),0)
| zero_at1(sK3,0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1338,f400]) ).
tff(f1338,plain,
( zero_at1(tb2t1(sF8),0)
| ~ $less(sK0(tb2t1(sF8),0),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1322,f319]) ).
tff(f1322,plain,
( ( sF17 != tb2t(sF16) )
| ~ $less(sK0(tb2t1(sF8),0),0)
| zero_at1(tb2t1(sF8),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1050,f854]) ).
tff(f1577,plain,
( spl22_95
| spl22_96
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1569,f853,f426,f318,f314,f298,f1240,f1237]) ).
tff(f1569,plain,
( $less(sK0(sK3,0),0)
| zero_at1(sK3,0)
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1310,f319]) ).
tff(f1310,plain,
( zero_at1(sK3,0)
| $less(sK0(sK3,0),0)
| ( sF17 != tb2t(sF16) )
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1091,f854]) ).
tff(f1091,plain,
( ! [X3: $int] :
( ( sF17 != tb2t(nth1(int,X3,sF8)) )
| $less(sK0(sK3,X3),X3)
| zero_at1(sK3,X3) )
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1042,f299]) ).
tff(f1576,plain,
( spl22_95
| spl22_96
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1433,f853,f426,f399,f318,f314,f1240,f1237]) ).
tff(f1433,plain,
( $less(sK0(sK3,0),0)
| zero_at1(sK3,0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1432,f400]) ).
tff(f1432,plain,
( $less(sK0(sK3,0),0)
| zero_at1(tb2t1(sF8),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1431,f400]) ).
tff(f1431,plain,
( $less(sK0(tb2t1(sF8),0),0)
| zero_at1(tb2t1(sF8),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1400,f319]) ).
tff(f1400,plain,
( $less(sK0(tb2t1(sF8),0),0)
| zero_at1(tb2t1(sF8),0)
| ( sF17 != tb2t(sF16) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1089,f854]) ).
tff(f1574,plain,
( spl22_8
| ~ spl22_68
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36
| ~ spl22_49 ),
inference(avatar_split_clause,[],[f1568,f499,f426,f378,f318,f314,f753,f274]) ).
tff(f274,plain,
( spl22_8
<=> no_zero1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
tff(f753,plain,
( spl22_68
<=> $less(sK7(sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_68])]) ).
tff(f378,plain,
( spl22_27
<=> ( t2tb(sF17) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).
tff(f1568,plain,
( ~ $less(sK7(sK1),sK2)
| no_zero1(sK1)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36
| ~ spl22_49 ),
inference(forward_demodulation,[],[f1567,f500]) ).
tff(f1567,plain,
( ~ $less(sK7(sK1),sK2)
| no_zero1(tb2t1(sF11))
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36
| ~ spl22_49 ),
inference(forward_demodulation,[],[f1566,f500]) ).
tff(f1566,plain,
( ~ $less(sK7(tb2t1(sF11)),sK2)
| no_zero1(tb2t1(sF11))
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(subsumption_resolution,[],[f1565,f202]) ).
tff(f202,plain,
! [X0: list_int] :
( ~ $less(sK7(X0),0)
| no_zero1(X0) ),
inference(cnf_transformation,[],[f127]) ).
tff(f1565,plain,
( no_zero1(tb2t1(sF11))
| $less(sK7(tb2t1(sF11)),0)
| ~ $less(sK7(tb2t1(sF11)),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(subsumption_resolution,[],[f1010,f319]) ).
tff(f1010,plain,
( no_zero1(tb2t1(sF11))
| ( sF17 != tb2t(sF16) )
| ~ $less(sK7(tb2t1(sF11)),sK2)
| $less(sK7(tb2t1(sF11)),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f233,f906]) ).
tff(f906,plain,
( ! [X0: uni] :
( ( nth1(int,sK7(tb2t1(X0)),X0) = sF16 )
| no_zero1(tb2t1(X0)) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f890,f215]) ).
tff(f890,plain,
( ! [X0: list_int] :
( ( nth1(int,sK7(X0),t2tb1(X0)) = sF16 )
| no_zero1(X0) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(forward_demodulation,[],[f889,f379]) ).
tff(f379,plain,
( ( t2tb(sF17) = sF16 )
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f378]) ).
tff(f889,plain,
( ! [X0: list_int] :
( no_zero1(X0)
| ( t2tb(sF17) = nth1(int,sK7(X0),t2tb1(X0)) ) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f153,f874]) ).
tff(f1564,plain,
( spl22_11
| ~ spl22_101 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
tff(f1563,plain,
( $false
| spl22_11
| ~ spl22_101 ),
inference(subsumption_resolution,[],[f1562,f287]) ).
tff(f1562,plain,
( zero_at1(sK1,sK2)
| ~ spl22_101 ),
inference(forward_demodulation,[],[f1294,f506]) ).
tff(f1294,plain,
( zero_at1(sK1,$sum(0,sK2))
| ~ spl22_101 ),
inference(avatar_component_clause,[],[f1293]) ).
tff(f1293,plain,
( spl22_101
<=> zero_at1(sK1,$sum(0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_101])]) ).
tff(f1522,plain,
( spl22_106
| ~ spl22_79 ),
inference(avatar_split_clause,[],[f1371,f912,f1520]) ).
tff(f1520,plain,
( spl22_106
<=> $less(length1(int,sF19),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_106])]) ).
tff(f912,plain,
( spl22_79
<=> ( sF9 = $sum(1,length1(int,sF19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_79])]) ).
tff(f1371,plain,
( $less(length1(int,sF19),sF9)
| ~ spl22_79 ),
inference(evaluation,[],[f1365]) ).
tff(f1365,plain,
( ~ $less(0,1)
| $less(length1(int,sF19),sF9)
| ~ spl22_79 ),
inference(superposition,[],[f937,f506]) ).
tff(f937,plain,
( ! [X1: $int] :
( $less($sum(X1,length1(int,sF19)),sF9)
| ~ $less(X1,1) )
| ~ spl22_79 ),
inference(superposition,[],[f69,f913]) ).
tff(f913,plain,
( ( sF9 = $sum(1,length1(int,sF19)) )
| ~ spl22_79 ),
inference(avatar_component_clause,[],[f912]) ).
tff(f69,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f1507,plain,
( spl22_105
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1506,f853,f426,f318,f314,f302,f286,f1476]) ).
tff(f1506,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1505,f63]) ).
tff(f1505,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(sK2,0)),sF11)) )
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1504,f287]) ).
tff(f1504,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(sK2,0)),sF11)) )
| zero_at1(sK1,sK2)
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1503,f63]) ).
tff(f1503,plain,
( zero_at1(sK1,$sum(sK2,0))
| ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(sK2,0)),sF11)) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1499,f319]) ).
tff(f1499,plain,
( ( sF17 != tb2t(sF16) )
| ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(sK2,0)),sF11)) )
| zero_at1(sK1,$sum(sK2,0))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(evaluation,[],[f1497]) ).
tff(f1497,plain,
( $less(0,0)
| ( sF17 != tb2t(sF16) )
| ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(sK2,0)),sF11)) )
| zero_at1(sK1,$sum(sK2,0))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1436,f854]) ).
tff(f1436,plain,
( ! [X0: $int] :
( ( tb2t(nth1(int,X0,sF8)) != sF17 )
| ( sF17 = tb2t(nth1(int,sK0(sK1,$sum(sK2,X0)),sF11)) )
| $less(X0,0)
| zero_at1(sK1,$sum(sK2,X0)) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1163,f359]) ).
tff(f1478,plain,
( spl22_105
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(avatar_split_clause,[],[f1442,f857,f426,f318,f314,f302,f286,f1476]) ).
tff(f1442,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1441,f319]) ).
tff(f1441,plain,
( ( sF17 != tb2t(sF16) )
| ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1438,f287]) ).
tff(f1438,plain,
( ( sF17 = tb2t(nth1(int,sK0(sK1,sK2),sF11)) )
| zero_at1(sK1,sK2)
| ( sF17 != tb2t(sF16) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(superposition,[],[f1163,f858]) ).
tff(f1457,plain,
( spl22_104
| ~ spl22_70
| ~ spl22_97 ),
inference(avatar_split_clause,[],[f1285,f1264,f840,f1455]) ).
tff(f840,plain,
( spl22_70
<=> $less(sK7(sK1),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_70])]) ).
tff(f1264,plain,
( spl22_97
<=> $less(sK2,sK7(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_97])]) ).
tff(f1285,plain,
( $less(sK2,sF9)
| ~ spl22_70
| ~ spl22_97 ),
inference(resolution,[],[f1265,f844]) ).
tff(f844,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7(sK1))
| $less(X0,sF9) )
| ~ spl22_70 ),
inference(resolution,[],[f841,f67]) ).
tff(f841,plain,
( $less(sK7(sK1),sF9)
| ~ spl22_70 ),
inference(avatar_component_clause,[],[f840]) ).
tff(f1265,plain,
( $less(sK2,sK7(sK1))
| ~ spl22_97 ),
inference(avatar_component_clause,[],[f1264]) ).
tff(f1453,plain,
( spl22_100
| spl22_11
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_49
| ~ spl22_72 ),
inference(avatar_split_clause,[],[f1420,f857,f499,f426,f318,f314,f286,f1289]) ).
tff(f1420,plain,
( $less(sK0(sK1,sK2),sK2)
| spl22_11
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_49
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1419,f287]) ).
tff(f1419,plain,
( zero_at1(sK1,sK2)
| $less(sK0(sK1,sK2),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_49
| ~ spl22_72 ),
inference(forward_demodulation,[],[f1418,f500]) ).
tff(f1418,plain,
( zero_at1(tb2t1(sF11),sK2)
| $less(sK0(sK1,sK2),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_49
| ~ spl22_72 ),
inference(forward_demodulation,[],[f1417,f500]) ).
tff(f1417,plain,
( $less(sK0(tb2t1(sF11),sK2),sK2)
| zero_at1(tb2t1(sF11),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1404,f319]) ).
tff(f1404,plain,
( zero_at1(tb2t1(sF11),sK2)
| $less(sK0(tb2t1(sF11),sK2),sK2)
| ( sF17 != tb2t(sF16) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(superposition,[],[f1089,f858]) ).
tff(f1399,plain,
( spl22_86
| spl22_92
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36
| ~ spl22_53 ),
inference(avatar_split_clause,[],[f1211,f541,f426,f378,f318,f314,f1086,f983]) ).
tff(f1086,plain,
( spl22_92
<=> ( nth1(int,sK7(sF14),sF13) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_92])]) ).
tff(f1211,plain,
( ( nth1(int,sK7(sF14),sF13) = sF16 )
| no_zero1(sF14)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36
| ~ spl22_53 ),
inference(superposition,[],[f890,f542]) ).
tff(f1397,plain,
( spl22_103
| spl22_8
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f907,f426,f378,f318,f314,f302,f274,f1395]) ).
tff(f1395,plain,
( spl22_103
<=> ( nth1(int,sK7(sK1),sF11) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_103])]) ).
tff(f907,plain,
( no_zero1(sK1)
| ( nth1(int,sK7(sK1),sF11) = sF16 )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f890,f303]) ).
tff(f1393,plain,
( spl22_100
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1392,f853,f426,f318,f314,f302,f286,f1289]) ).
tff(f1392,plain,
( $less(sK0(sK1,sK2),sK2)
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1391,f506]) ).
tff(f1391,plain,
( $less(sK0(sK1,$sum(0,sK2)),$sum(0,sK2))
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1390,f287]) ).
tff(f1390,plain,
( zero_at1(sK1,sK2)
| $less(sK0(sK1,$sum(0,sK2)),$sum(0,sK2))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1389,f506]) ).
tff(f1389,plain,
( zero_at1(sK1,$sum(0,sK2))
| $less(sK0(sK1,$sum(0,sK2)),$sum(0,sK2))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1384,f319]) ).
tff(f1384,plain,
( zero_at1(sK1,$sum(0,sK2))
| $less(sK0(sK1,$sum(0,sK2)),$sum(0,sK2))
| ( sF17 != tb2t(sF16) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(evaluation,[],[f1382]) ).
tff(f1382,plain,
( $less(0,0)
| $less(sK0(sK1,$sum(0,sK2)),$sum(0,sK2))
| ( sF17 != tb2t(sF16) )
| zero_at1(sK1,$sum(0,sK2))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1275,f854]) ).
tff(f1275,plain,
( ! [X1: $int] :
( ( sF17 != tb2t(nth1(int,X1,sF8)) )
| $less(X1,0)
| $less(sK0(sK1,$sum(X1,sK2)),$sum(X1,sK2))
| zero_at1(sK1,$sum(X1,sK2)) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1090,f509]) ).
tff(f1090,plain,
( ! [X2: $int] :
( ( sF17 != tb2t(nth1(int,X2,sF11)) )
| $less(sK0(sK1,X2),X2)
| zero_at1(sK1,X2) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1042,f303]) ).
tff(f1374,plain,
( spl22_100
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1305,f853,f426,f318,f314,f302,f286,f1289]) ).
tff(f1305,plain,
( $less(sK0(sK1,sK2),sK2)
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1304,f287]) ).
tff(f1304,plain,
( $less(sK0(sK1,sK2),sK2)
| zero_at1(sK1,sK2)
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1303,f63]) ).
tff(f1303,plain,
( $less(sK0(sK1,sK2),sK2)
| zero_at1(sK1,$sum(sK2,0))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1302,f63]) ).
tff(f1302,plain,
( $less(sK0(sK1,$sum(sK2,0)),$sum(sK2,0))
| zero_at1(sK1,$sum(sK2,0))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1301,f319]) ).
tff(f1301,plain,
( $less(sK0(sK1,$sum(sK2,0)),$sum(sK2,0))
| ( sF17 != tb2t(sF16) )
| zero_at1(sK1,$sum(sK2,0))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(evaluation,[],[f1299]) ).
tff(f1299,plain,
( $less(0,0)
| zero_at1(sK1,$sum(sK2,0))
| $less(sK0(sK1,$sum(sK2,0)),$sum(sK2,0))
| ( sF17 != tb2t(sF16) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1274,f854]) ).
tff(f1274,plain,
( ! [X0: $int] :
( ( tb2t(nth1(int,X0,sF8)) != sF17 )
| $less(sK0(sK1,$sum(sK2,X0)),$sum(sK2,X0))
| zero_at1(sK1,$sum(sK2,X0))
| $less(X0,0) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1090,f359]) ).
tff(f1321,plain,
( spl22_10
| ~ spl22_57
| ~ spl22_97 ),
inference(avatar_split_clause,[],[f1286,f1264,f612,f283]) ).
tff(f612,plain,
( spl22_57
<=> $less(sK7(sK1),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_57])]) ).
tff(f1286,plain,
( $less(sK2,sF10)
| ~ spl22_57
| ~ spl22_97 ),
inference(resolution,[],[f1265,f643]) ).
tff(f643,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7(sK1))
| $less(X0,sF10) )
| ~ spl22_57 ),
inference(resolution,[],[f613,f67]) ).
tff(f613,plain,
( $less(sK7(sK1),sF10)
| ~ spl22_57 ),
inference(avatar_component_clause,[],[f612]) ).
tff(f1298,plain,
( spl22_101
| ~ spl22_102
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1262,f853,f426,f318,f314,f302,f1296,f1293]) ).
tff(f1296,plain,
( spl22_102
<=> $less(sK0(sK1,$sum(0,sK2)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_102])]) ).
tff(f1262,plain,
( ~ $less(sK0(sK1,$sum(0,sK2)),0)
| zero_at1(sK1,$sum(0,sK2))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1255,f319]) ).
tff(f1255,plain,
( ( sF17 != tb2t(sF16) )
| zero_at1(sK1,$sum(0,sK2))
| ~ $less(sK0(sK1,$sum(0,sK2)),0)
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(evaluation,[],[f1253]) ).
tff(f1253,plain,
( ( sF17 != tb2t(sF16) )
| $less(0,0)
| zero_at1(sK1,$sum(0,sK2))
| ~ $less(sK0(sK1,$sum(0,sK2)),0)
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1180,f854]) ).
tff(f1180,plain,
( ! [X1: $int] :
( ( sF17 != tb2t(nth1(int,X1,sF8)) )
| zero_at1(sK1,$sum(X1,sK2))
| $less(X1,0)
| ~ $less(sK0(sK1,$sum(X1,sK2)),0) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1051,f509]) ).
tff(f1051,plain,
( ! [X2: $int] :
( ( sF17 != tb2t(nth1(int,X2,sF11)) )
| zero_at1(sK1,X2)
| ~ $less(sK0(sK1,X2),0) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1037,f303]) ).
tff(f1291,plain,
( spl22_100
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(avatar_split_clause,[],[f1284,f857,f426,f318,f314,f302,f286,f1289]) ).
tff(f1284,plain,
( $less(sK0(sK1,sK2),sK2)
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1283,f319]) ).
tff(f1283,plain,
( $less(sK0(sK1,sK2),sK2)
| ( sF17 != tb2t(sF16) )
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1276,f287]) ).
tff(f1276,plain,
( zero_at1(sK1,sK2)
| ( sF17 != tb2t(sF16) )
| $less(sK0(sK1,sK2),sK2)
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(superposition,[],[f1090,f858]) ).
tff(f1273,plain,
( spl22_99
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f447,f306,f1271]) ).
tff(f1271,plain,
( spl22_99
<=> ( 0 = length1(int,sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_99])]) ).
tff(f447,plain,
( ( 0 = length1(int,sF13) )
| ~ spl22_15 ),
inference(superposition,[],[f149,f307]) ).
tff(f149,plain,
! [X0: ty] : ( 0 = length1(X0,nil(X0)) ),
inference(cnf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: ty] :
( ( 0 = length1(X0,nil(X0)) )
& ! [X1: uni,X2: uni] : ( length1(X0,cons(X0,X2,X1)) = $sum(1,length1(X0,X1)) ) ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X0: ty] :
( ( 0 = length1(X0,nil(X0)) )
& ! [X2: uni,X1: uni] : ( length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def) ).
tff(f1269,plain,
( spl22_97
| spl22_98
| spl22_68 ),
inference(avatar_split_clause,[],[f1235,f753,f1267,f1264]) ).
tff(f1267,plain,
( spl22_98
<=> ( sK2 = sK7(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_98])]) ).
tff(f1235,plain,
( ( sK2 = sK7(sK1) )
| $less(sK2,sK7(sK1))
| spl22_68 ),
inference(resolution,[],[f1227,f68]) ).
tff(f68,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) ),
introduced(theory_axiom_149,[]) ).
tff(f1227,plain,
( ~ $less(sK7(sK1),sK2)
| spl22_68 ),
inference(avatar_component_clause,[],[f753]) ).
tff(f1242,plain,
( spl22_95
| ~ spl22_96
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1222,f853,f426,f318,f314,f298,f1240,f1237]) ).
tff(f1222,plain,
( ~ $less(sK0(sK3,0),0)
| zero_at1(sK3,0)
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1220,f319]) ).
tff(f1220,plain,
( zero_at1(sK3,0)
| ~ $less(sK0(sK3,0),0)
| ( sF17 != tb2t(sF16) )
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1052,f854]) ).
tff(f1052,plain,
( ! [X3: $int] :
( ( sF17 != tb2t(nth1(int,X3,sF8)) )
| ~ $less(sK0(sK3,X3),0)
| zero_at1(sK3,X3) )
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1037,f299]) ).
tff(f1228,plain,
( ~ spl22_68
| ~ spl22_49
| spl22_81 ),
inference(avatar_split_clause,[],[f1187,f942,f499,f753]) ).
tff(f942,plain,
( spl22_81
<=> $less(sK7(tb2t1(sF11)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_81])]) ).
tff(f1187,plain,
( ~ $less(sK7(sK1),sK2)
| ~ spl22_49
| spl22_81 ),
inference(backward_demodulation,[],[f943,f500]) ).
tff(f943,plain,
( ~ $less(sK7(tb2t1(sF11)),sK2)
| spl22_81 ),
inference(avatar_component_clause,[],[f942]) ).
tff(f1226,plain,
( ~ spl22_93
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(avatar_split_clause,[],[f1207,f853,f426,f318,f314,f302,f286,f1193]) ).
tff(f1207,plain,
( ~ $less(sK0(sK1,sK2),0)
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1206,f287]) ).
tff(f1206,plain,
( zero_at1(sK1,sK2)
| ~ $less(sK0(sK1,sK2),0)
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1205,f63]) ).
tff(f1205,plain,
( zero_at1(sK1,$sum(sK2,0))
| ~ $less(sK0(sK1,sK2),0)
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(forward_demodulation,[],[f1204,f63]) ).
tff(f1204,plain,
( ~ $less(sK0(sK1,$sum(sK2,0)),0)
| zero_at1(sK1,$sum(sK2,0))
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(subsumption_resolution,[],[f1200,f319]) ).
tff(f1200,plain,
( ~ $less(sK0(sK1,$sum(sK2,0)),0)
| zero_at1(sK1,$sum(sK2,0))
| ( sF17 != tb2t(sF16) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(evaluation,[],[f1198]) ).
tff(f1198,plain,
( $less(0,0)
| ~ $less(sK0(sK1,$sum(sK2,0)),0)
| zero_at1(sK1,$sum(sK2,0))
| ( sF17 != tb2t(sF16) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_71 ),
inference(superposition,[],[f1179,f854]) ).
tff(f1179,plain,
( ! [X0: $int] :
( ( tb2t(nth1(int,X0,sF8)) != sF17 )
| $less(X0,0)
| zero_at1(sK1,$sum(sK2,X0))
| ~ $less(sK0(sK1,$sum(sK2,X0)),0) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f1051,f359]) ).
tff(f1219,plain,
( spl22_8
| spl22_94
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f886,f426,f318,f314,f302,f1217,f274]) ).
tff(f1217,plain,
( spl22_94
<=> ( sF17 = tb2t(nth1(int,sK7(sK1),sF11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_94])]) ).
tff(f886,plain,
( ( sF17 = tb2t(nth1(int,sK7(sK1),sF11)) )
| no_zero1(sK1)
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f874,f303]) ).
tff(f1195,plain,
( ~ spl22_93
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(avatar_split_clause,[],[f1185,f857,f426,f318,f314,f302,f286,f1193]) ).
tff(f1185,plain,
( ~ $less(sK0(sK1,sK2),0)
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1184,f319]) ).
tff(f1184,plain,
( ~ $less(sK0(sK1,sK2),0)
| ( sF17 != tb2t(sF16) )
| spl22_11
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(subsumption_resolution,[],[f1181,f287]) ).
tff(f1181,plain,
( ~ $less(sK0(sK1,sK2),0)
| zero_at1(sK1,sK2)
| ( sF17 != tb2t(sF16) )
| ~ spl22_14
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36
| ~ spl22_72 ),
inference(superposition,[],[f1051,f858]) ).
tff(f1191,plain,
( ~ spl22_49
| ~ spl22_68
| spl22_81 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
tff(f1190,plain,
( $false
| ~ spl22_49
| ~ spl22_68
| spl22_81 ),
inference(subsumption_resolution,[],[f1187,f754]) ).
tff(f754,plain,
( $less(sK7(sK1),sK2)
| ~ spl22_68 ),
inference(avatar_component_clause,[],[f753]) ).
tff(f1155,plain,
( spl22_78
| spl22_77
| ~ spl22_17
| ~ spl22_18
| ~ spl22_20
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1029,f426,f328,f318,f314,f899,f902]) ).
tff(f902,plain,
( spl22_78
<=> no_zero1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_78])]) ).
tff(f899,plain,
( spl22_77
<=> ( sF17 = tb2t(nth1(int,sK7(sK5),sF19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_77])]) ).
tff(f328,plain,
( spl22_20
<=> ( sF19 = t2tb1(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
tff(f1029,plain,
( ( sF17 = tb2t(nth1(int,sK7(sK5),sF19)) )
| no_zero1(sK5)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_20
| ~ spl22_36 ),
inference(superposition,[],[f919,f329]) ).
tff(f329,plain,
( ( sF19 = t2tb1(sK5) )
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f328]) ).
tff(f1088,plain,
( spl22_92
| spl22_86
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1005,f426,f378,f318,f314,f310,f983,f1086]) ).
tff(f1005,plain,
( no_zero1(sF14)
| ( nth1(int,sK7(sF14),sF13) = sF16 )
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f906,f311]) ).
tff(f1082,plain,
( spl22_91
| ~ spl22_89 ),
inference(avatar_split_clause,[],[f1074,f1064,f1080]) ).
tff(f1080,plain,
( spl22_91
<=> ( sF19 = some_proj_11(list(int),tl(int,sF8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_91])]) ).
tff(f1064,plain,
( spl22_89
<=> ( some(list(int),sF19) = tl(int,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_89])]) ).
tff(f1074,plain,
( ( sF19 = some_proj_11(list(int),tl(int,sF8)) )
| ~ spl22_89 ),
inference(subsumption_resolution,[],[f1071,f391]) ).
tff(f391,plain,
! [X1: uni] : sort1(list(int),X1),
inference(superposition,[],[f165,f215]) ).
tff(f165,plain,
! [X0: list_int] : sort1(list(int),t2tb1(X0)),
inference(cnf_transformation,[],[f108]) ).
tff(f108,plain,
! [X0: list_int] : sort1(list(int),t2tb1(X0)),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X1: list_int] : sort1(list(int),t2tb1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort4) ).
tff(f1071,plain,
( ( sF19 = some_proj_11(list(int),tl(int,sF8)) )
| ~ sort1(list(int),sF19)
| ~ spl22_89 ),
inference(superposition,[],[f170,f1065]) ).
tff(f1065,plain,
( ( some(list(int),sF19) = tl(int,sF8) )
| ~ spl22_89 ),
inference(avatar_component_clause,[],[f1064]) ).
tff(f170,plain,
! [X0: uni,X1: ty] :
( ( some_proj_11(X1,some(X1,X0)) = X0 )
| ~ sort1(X1,X0) ),
inference(cnf_transformation,[],[f140]) ).
tff(f140,plain,
! [X1: ty,X0: uni] :
( ( some_proj_11(X1,some(X1,X0)) = X0 )
| ~ sort1(X1,X0) ),
inference(ennf_transformation,[],[f104]) ).
tff(f104,plain,
! [X0: uni,X1: ty] :
( sort1(X1,X0)
=> ( some_proj_11(X1,some(X1,X0)) = X0 ) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X6: uni,X0: ty] :
( sort1(X0,X6)
=> ( some_proj_11(X0,some(X0,X6)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_proj_1_def1) ).
tff(f1078,plain,
( ~ spl22_90
| ~ spl22_89 ),
inference(avatar_split_clause,[],[f1072,f1064,f1076]) ).
tff(f1076,plain,
( spl22_90
<=> ( tl(int,sF8) = none(list(int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_90])]) ).
tff(f1072,plain,
( ( tl(int,sF8) != none(list(int)) )
| ~ spl22_89 ),
inference(superposition,[],[f218,f1065]) ).
tff(f218,plain,
! [X0: uni,X1: ty] : ( none(X1) != some(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
tff(f85,plain,
! [X0: uni,X1: ty] : ( none(X1) != some(X1,X0) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X10: uni,X0: ty] : ( none(X0) != some(X0,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',none_Some1) ).
tff(f1069,plain,
( spl22_86
| spl22_55
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1024,f426,f378,f318,f314,f310,f306,f565,f983]) ).
tff(f565,plain,
( spl22_55
<=> ( none(int) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_55])]) ).
tff(f1024,plain,
( ( none(int) = sF16 )
| no_zero1(sF14)
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1023,f311]) ).
tff(f1023,plain,
( ( none(int) = sF16 )
| no_zero1(tb2t1(sF13))
| ~ spl22_15
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1012,f307]) ).
tff(f1012,plain,
( ( none(int) = sF16 )
| no_zero1(tb2t1(nil(int)))
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f211,f906]) ).
tff(f1068,plain,
( spl22_86
| spl22_55
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1015,f426,f378,f318,f314,f310,f306,f565,f983]) ).
tff(f1015,plain,
( ( none(int) = sF16 )
| no_zero1(sF14)
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1014,f311]) ).
tff(f1014,plain,
( no_zero1(tb2t1(sF13))
| ( none(int) = sF16 )
| ~ spl22_15
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1007,f307]) ).
tff(f1007,plain,
( ( none(int) = sF16 )
| no_zero1(tb2t1(nil(int)))
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f906,f211]) ).
tff(f1066,plain,
( spl22_89
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f698,f495,f1064]) ).
tff(f698,plain,
( ( some(list(int),sF19) = tl(int,sF8) )
| ~ spl22_48 ),
inference(superposition,[],[f161,f496]) ).
tff(f161,plain,
! [X2: uni,X0: ty,X1: uni] : ( tl(X0,cons(X0,X2,X1)) = some(list(X0),X1) ),
inference(cnf_transformation,[],[f86]) ).
tff(f86,plain,
! [X0: ty] :
( ! [X2: uni,X1: uni] : ( tl(X0,cons(X0,X2,X1)) = some(list(X0),X1) )
& ( tl(X0,nil(X0)) = none(list(X0)) ) ),
inference(rectify,[],[f52]) ).
tff(f52,axiom,
! [X0: ty] :
( ! [X2: uni,X1: uni] : ( tl(X0,cons(X0,X1,X2)) = some(list(X0),X2) )
& ( tl(X0,nil(X0)) = none(list(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tl_def) ).
tff(f1039,plain,
( spl22_84
| ~ spl22_83
| spl22_75
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_30
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1022,f426,f399,f378,f318,f314,f892,f950,f953]) ).
tff(f953,plain,
( spl22_84
<=> $less($sum(sK2,sK7(sK3)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_84])]) ).
tff(f950,plain,
( spl22_83
<=> $less($sum(sK2,sK7(sK3)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_83])]) ).
tff(f892,plain,
( spl22_75
<=> no_zero1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_75])]) ).
tff(f1022,plain,
( no_zero1(sK3)
| ~ $less($sum(sK2,sK7(sK3)),sK2)
| $less($sum(sK2,sK7(sK3)),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_30
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1021,f400]) ).
tff(f1021,plain,
( ~ $less($sum(sK2,sK7(sK3)),sK2)
| no_zero1(tb2t1(sF8))
| $less($sum(sK2,sK7(sK3)),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_30
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1020,f400]) ).
tff(f1020,plain,
( $less($sum(sK2,sK7(sK3)),0)
| ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| no_zero1(tb2t1(sF8))
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_30
| ~ spl22_36 ),
inference(forward_demodulation,[],[f1019,f400]) ).
tff(f1019,plain,
( $less($sum(sK2,sK7(tb2t1(sF8))),0)
| ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| no_zero1(tb2t1(sF8))
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(subsumption_resolution,[],[f1018,f202]) ).
tff(f1018,plain,
( ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| $less($sum(sK2,sK7(tb2t1(sF8))),0)
| no_zero1(tb2t1(sF8))
| $less(sK7(tb2t1(sF8)),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(subsumption_resolution,[],[f1009,f319]) ).
tff(f1009,plain,
( ( sF17 != tb2t(sF16) )
| $less($sum(sK2,sK7(tb2t1(sF8))),0)
| ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| no_zero1(tb2t1(sF8))
| $less(sK7(tb2t1(sF8)),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f294,f906]) ).
tff(f294,plain,
! [X0: $int] :
( ( tb2t(nth1(int,X0,sF8)) != sF17 )
| ~ $less($sum(sK2,X0),sK2)
| $less($sum(sK2,X0),0)
| $less(X0,0) ),
inference(superposition,[],[f233,f229]) ).
tff(f1034,plain,
( spl22_75
| spl22_80
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_30
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1006,f426,f399,f378,f318,f314,f916,f892]) ).
tff(f916,plain,
( spl22_80
<=> ( nth1(int,sK7(sK3),sF8) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_80])]) ).
tff(f1006,plain,
( ( nth1(int,sK7(sK3),sF8) = sF16 )
| no_zero1(sK3)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_30
| ~ spl22_36 ),
inference(superposition,[],[f906,f400]) ).
tff(f1001,plain,
( spl22_88
| spl22_86
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f920,f426,f318,f314,f310,f983,f999]) ).
tff(f920,plain,
( no_zero1(sF14)
| ( sF17 = tb2t(nth1(int,sK7(sF14),sF13)) )
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f885,f311]) ).
tff(f997,plain,
( spl22_87
| spl22_78
| ~ spl22_17
| ~ spl22_18
| ~ spl22_20
| ~ spl22_27
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f909,f426,f378,f328,f318,f314,f902,f995]) ).
tff(f995,plain,
( spl22_87
<=> ( nth1(int,sK7(sK5),sF19) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_87])]) ).
tff(f909,plain,
( no_zero1(sK5)
| ( nth1(int,sK7(sK5),sF19) = sF16 )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_20
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f890,f329]) ).
tff(f985,plain,
( spl22_85
| spl22_86
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f935,f426,f318,f314,f310,f306,f983,f980]) ).
tff(f935,plain,
( no_zero1(sF14)
| ( sF17 = tb2t(none(int)) )
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f934,f311]) ).
tff(f934,plain,
( no_zero1(tb2t1(sF13))
| ( sF17 = tb2t(none(int)) )
| ~ spl22_15
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(forward_demodulation,[],[f922,f307]) ).
tff(f922,plain,
( ( sF17 = tb2t(none(int)) )
| no_zero1(tb2t1(nil(int)))
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f885,f211]) ).
tff(f955,plain,
( ~ spl22_83
| spl22_84
| spl22_75
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f933,f426,f399,f318,f314,f892,f953,f950]) ).
tff(f933,plain,
( no_zero1(sK3)
| $less($sum(sK2,sK7(sK3)),0)
| ~ $less($sum(sK2,sK7(sK3)),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36 ),
inference(forward_demodulation,[],[f932,f400]) ).
tff(f932,plain,
( no_zero1(sK3)
| $less($sum(sK2,sK7(sK3)),0)
| ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36 ),
inference(forward_demodulation,[],[f931,f400]) ).
tff(f931,plain,
( $less($sum(sK2,sK7(sK3)),0)
| no_zero1(tb2t1(sF8))
| ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36 ),
inference(forward_demodulation,[],[f930,f400]) ).
tff(f930,plain,
( $less($sum(sK2,sK7(tb2t1(sF8))),0)
| no_zero1(tb2t1(sF8))
| ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(subsumption_resolution,[],[f926,f202]) ).
tff(f926,plain,
( ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| $less(sK7(tb2t1(sF8)),0)
| no_zero1(tb2t1(sF8))
| $less($sum(sK2,sK7(tb2t1(sF8))),0)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(trivial_inequality_removal,[],[f924]) ).
tff(f924,plain,
( ( sF17 != sF17 )
| $less($sum(sK2,sK7(tb2t1(sF8))),0)
| ~ $less($sum(sK2,sK7(tb2t1(sF8))),sK2)
| $less(sK7(tb2t1(sF8)),0)
| no_zero1(tb2t1(sF8))
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f294,f885]) ).
tff(f948,plain,
( spl22_75
| spl22_76
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f921,f426,f399,f318,f314,f895,f892]) ).
tff(f895,plain,
( spl22_76
<=> ( sF17 = tb2t(nth1(int,sK7(sK3),sF8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_76])]) ).
tff(f921,plain,
( ( sF17 = tb2t(nth1(int,sK7(sK3),sF8)) )
| no_zero1(sK3)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_30
| ~ spl22_36 ),
inference(superposition,[],[f885,f400]) ).
tff(f947,plain,
( ~ spl22_81
| spl22_82
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f929,f426,f318,f314,f945,f942]) ).
tff(f945,plain,
( spl22_82
<=> no_zero1(tb2t1(sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_82])]) ).
tff(f929,plain,
( no_zero1(tb2t1(sF11))
| ~ $less(sK7(tb2t1(sF11)),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(subsumption_resolution,[],[f927,f202]) ).
tff(f927,plain,
( $less(sK7(tb2t1(sF11)),0)
| no_zero1(tb2t1(sF11))
| ~ $less(sK7(tb2t1(sF11)),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(trivial_inequality_removal,[],[f923]) ).
tff(f923,plain,
( $less(sK7(tb2t1(sF11)),0)
| no_zero1(tb2t1(sF11))
| ( sF17 != sF17 )
| ~ $less(sK7(tb2t1(sF11)),sK2)
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f233,f885]) ).
tff(f918,plain,
( spl22_80
| spl22_75
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f908,f426,f378,f318,f314,f298,f892,f916]) ).
tff(f908,plain,
( no_zero1(sK3)
| ( nth1(int,sK7(sK3),sF8) = sF16 )
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_27
| ~ spl22_36 ),
inference(superposition,[],[f890,f299]) ).
tff(f914,plain,
( spl22_79
| ~ spl22_31
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f766,f495,f404,f912]) ).
tff(f404,plain,
( spl22_31
<=> ( sF9 = length1(int,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_31])]) ).
tff(f766,plain,
( ( sF9 = $sum(1,length1(int,sF19)) )
| ~ spl22_31
| ~ spl22_48 ),
inference(forward_demodulation,[],[f763,f405]) ).
tff(f405,plain,
( ( sF9 = length1(int,sF8) )
| ~ spl22_31 ),
inference(avatar_component_clause,[],[f404]) ).
tff(f763,plain,
( ( $sum(1,length1(int,sF19)) = length1(int,sF8) )
| ~ spl22_48 ),
inference(superposition,[],[f148,f496]) ).
tff(f148,plain,
! [X2: uni,X0: ty,X1: uni] : ( length1(X0,cons(X0,X2,X1)) = $sum(1,length1(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
tff(f904,plain,
( spl22_77
| spl22_78
| ~ spl22_17
| ~ spl22_18
| ~ spl22_20
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f888,f426,f328,f318,f314,f902,f899]) ).
tff(f888,plain,
( no_zero1(sK5)
| ( sF17 = tb2t(nth1(int,sK7(sK5),sF19)) )
| ~ spl22_17
| ~ spl22_18
| ~ spl22_20
| ~ spl22_36 ),
inference(superposition,[],[f874,f329]) ).
tff(f897,plain,
( spl22_75
| spl22_76
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f887,f426,f318,f314,f298,f895,f892]) ).
tff(f887,plain,
( ( sF17 = tb2t(nth1(int,sK7(sK3),sF8)) )
| no_zero1(sK3)
| ~ spl22_13
| ~ spl22_17
| ~ spl22_18
| ~ spl22_36 ),
inference(superposition,[],[f874,f299]) ).
tff(f884,plain,
( ~ spl22_63
| spl22_74
| ~ spl22_34 ),
inference(avatar_split_clause,[],[f583,f417,f882,f714]) ).
tff(f714,plain,
( spl22_63
<=> ( 0 = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_63])]) ).
tff(f882,plain,
( spl22_74
<=> ( nil(int) = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_74])]) ).
tff(f417,plain,
( spl22_34
<=> ( sF10 = length1(int,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
tff(f583,plain,
( ( nil(int) = sF11 )
| ( 0 != sF10 )
| ~ spl22_34 ),
inference(superposition,[],[f175,f418]) ).
tff(f418,plain,
( ( sF10 = length1(int,sF11) )
| ~ spl22_34 ),
inference(avatar_component_clause,[],[f417]) ).
tff(f175,plain,
! [X0: uni,X1: ty] :
( ( 0 != length1(X1,X0) )
| ( nil(X1) = X0 ) ),
inference(cnf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0: uni,X1: ty] :
( ( nil(X1) = X0 )
<=> ( 0 = length1(X1,X0) ) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X12: uni,X0: ty] :
( ( nil(X0) = X12 )
<=> ( 0 = length1(X0,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil) ).
tff(f878,plain,
( spl22_73
| ~ spl22_40
| ~ spl22_64 ),
inference(avatar_split_clause,[],[f870,f717,f444,f876]) ).
tff(f876,plain,
( spl22_73
<=> $less($uminus(sK2),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_73])]) ).
tff(f444,plain,
( spl22_40
<=> $less($uminus(sK2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_40])]) ).
tff(f717,plain,
( spl22_64
<=> $less(0,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_64])]) ).
tff(f870,plain,
( $less($uminus(sK2),sF10)
| ~ spl22_40
| ~ spl22_64 ),
inference(resolution,[],[f743,f445]) ).
tff(f445,plain,
( $less($uminus(sK2),0)
| ~ spl22_40 ),
inference(avatar_component_clause,[],[f444]) ).
tff(f743,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF10) )
| ~ spl22_64 ),
inference(resolution,[],[f718,f67]) ).
tff(f718,plain,
( $less(0,sF10)
| ~ spl22_64 ),
inference(avatar_component_clause,[],[f717]) ).
tff(f859,plain,
( spl22_72
| ~ spl22_26
| ~ spl22_36
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f851,f495,f426,f368,f857]) ).
tff(f368,plain,
( spl22_26
<=> ( nth1(int,sK2,sF11) = nth1(int,0,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).
tff(f851,plain,
( ( nth1(int,sK2,sF11) = sF16 )
| ~ spl22_26
| ~ spl22_36
| ~ spl22_48 ),
inference(backward_demodulation,[],[f369,f850]) ).
tff(f850,plain,
( ( nth1(int,0,sF8) = sF16 )
| ~ spl22_36
| ~ spl22_48 ),
inference(forward_demodulation,[],[f847,f427]) ).
tff(f847,plain,
( ( some(int,sF15) = nth1(int,0,sF8) )
| ~ spl22_48 ),
inference(superposition,[],[f845,f496]) ).
tff(f845,plain,
! [X2: uni,X3: uni,X0: ty] : ( nth1(X0,0,cons(X0,X2,X3)) = some(X0,X2) ),
inference(gaussian_variable_elimination,[],[f210]) ).
tff(f210,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ( 0 != X1 )
| ( nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) ) ),
inference(cnf_transformation,[],[f144]) ).
tff(f369,plain,
( ( nth1(int,sK2,sF11) = nth1(int,0,sF8) )
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f368]) ).
tff(f855,plain,
( spl22_71
| ~ spl22_36
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f850,f495,f426,f853]) ).
tff(f842,plain,
( spl22_70
| ~ spl22_62
| ~ spl22_66 ),
inference(avatar_split_clause,[],[f795,f731,f708,f840]) ).
tff(f708,plain,
( spl22_62
<=> $less(0,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_62])]) ).
tff(f731,plain,
( spl22_66
<=> $less(sK7(sK1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_66])]) ).
tff(f795,plain,
( $less(sK7(sK1),sF9)
| ~ spl22_62
| ~ spl22_66 ),
inference(resolution,[],[f712,f732]) ).
tff(f732,plain,
( $less(sK7(sK1),0)
| ~ spl22_66 ),
inference(avatar_component_clause,[],[f731]) ).
tff(f712,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF9) )
| ~ spl22_62 ),
inference(resolution,[],[f709,f67]) ).
tff(f709,plain,
( $less(0,sF9)
| ~ spl22_62 ),
inference(avatar_component_clause,[],[f708]) ).
tff(f799,plain,
( spl22_69
| ~ spl22_40
| ~ spl22_62 ),
inference(avatar_split_clause,[],[f794,f708,f444,f797]) ).
tff(f797,plain,
( spl22_69
<=> $less($uminus(sK2),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_69])]) ).
tff(f794,plain,
( $less($uminus(sK2),sF9)
| ~ spl22_40
| ~ spl22_62 ),
inference(resolution,[],[f712,f445]) ).
tff(f755,plain,
( spl22_68
| ~ spl22_42
| ~ spl22_66 ),
inference(avatar_split_clause,[],[f747,f731,f457,f753]) ).
tff(f457,plain,
( spl22_42
<=> $less(0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_42])]) ).
tff(f747,plain,
( $less(sK7(sK1),sK2)
| ~ spl22_42
| ~ spl22_66 ),
inference(resolution,[],[f598,f732]) ).
tff(f598,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK2) )
| ~ spl22_42 ),
inference(resolution,[],[f581,f67]) ).
tff(f581,plain,
( $less(0,sK2)
| ~ spl22_42 ),
inference(avatar_component_clause,[],[f457]) ).
tff(f751,plain,
( spl22_67
| ~ spl22_40
| ~ spl22_42 ),
inference(avatar_split_clause,[],[f746,f457,f444,f749]) ).
tff(f749,plain,
( spl22_67
<=> $less($uminus(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_67])]) ).
tff(f746,plain,
( $less($uminus(sK2),sK2)
| ~ spl22_40
| ~ spl22_42 ),
inference(resolution,[],[f598,f445]) ).
tff(f739,plain,
( spl22_8
| ~ spl22_66 ),
inference(avatar_split_clause,[],[f734,f731,f274]) ).
tff(f734,plain,
( no_zero1(sK1)
| ~ spl22_66 ),
inference(resolution,[],[f732,f202]) ).
tff(f737,plain,
( spl22_8
| ~ spl22_66 ),
inference(avatar_contradiction_clause,[],[f736]) ).
tff(f736,plain,
( $false
| spl22_8
| ~ spl22_66 ),
inference(subsumption_resolution,[],[f734,f275]) ).
tff(f275,plain,
( ~ no_zero1(sK1)
| spl22_8 ),
inference(avatar_component_clause,[],[f274]) ).
tff(f733,plain,
( spl22_66
| ~ spl22_57
| ~ spl22_63 ),
inference(avatar_split_clause,[],[f720,f714,f612,f731]) ).
tff(f720,plain,
( $less(sK7(sK1),0)
| ~ spl22_57
| ~ spl22_63 ),
inference(backward_demodulation,[],[f613,f715]) ).
tff(f715,plain,
( ( 0 = sF10 )
| ~ spl22_63 ),
inference(avatar_component_clause,[],[f714]) ).
tff(f729,plain,
( spl22_65
| ~ spl22_4
| ~ spl22_63 ),
inference(avatar_split_clause,[],[f725,f714,f255,f727]) ).
tff(f727,plain,
( spl22_65
<=> ( 0 = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_65])]) ).
tff(f255,plain,
( spl22_4
<=> ( sF10 = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
tff(f725,plain,
( ( 0 = sF12 )
| ~ spl22_4
| ~ spl22_63 ),
inference(backward_demodulation,[],[f256,f715]) ).
tff(f256,plain,
( ( sF10 = sF12 )
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f255]) ).
tff(f719,plain,
( spl22_63
| spl22_64
| spl22_35 ),
inference(avatar_split_clause,[],[f576,f422,f717,f714]) ).
tff(f422,plain,
( spl22_35
<=> $less(sF10,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_35])]) ).
tff(f576,plain,
( $less(0,sF10)
| ( 0 = sF10 )
| spl22_35 ),
inference(resolution,[],[f68,f423]) ).
tff(f423,plain,
( ~ $less(sF10,0)
| spl22_35 ),
inference(avatar_component_clause,[],[f422]) ).
tff(f710,plain,
( spl22_62
| spl22_37
| spl22_58 ),
inference(avatar_split_clause,[],[f706,f616,f434,f708]) ).
tff(f434,plain,
( spl22_37
<=> $less(sF9,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_37])]) ).
tff(f616,plain,
( spl22_58
<=> ( 0 = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_58])]) ).
tff(f706,plain,
( $less(0,sF9)
| spl22_37
| spl22_58 ),
inference(subsumption_resolution,[],[f575,f617]) ).
tff(f617,plain,
( ( 0 != sF9 )
| spl22_58 ),
inference(avatar_component_clause,[],[f616]) ).
tff(f575,plain,
( $less(0,sF9)
| ( 0 = sF9 )
| spl22_37 ),
inference(resolution,[],[f68,f474]) ).
tff(f474,plain,
( ~ $less(sF9,0)
| spl22_37 ),
inference(avatar_component_clause,[],[f434]) ).
tff(f704,plain,
( spl22_61
| ~ spl22_24
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f697,f495,f348,f702]) ).
tff(f702,plain,
( spl22_61
<=> ( cons_proj_11(int,sF8) = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_61])]) ).
tff(f348,plain,
( spl22_24
<=> sort1(int,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
tff(f697,plain,
( ( cons_proj_11(int,sF8) = sF15 )
| ~ spl22_24
| ~ spl22_48 ),
inference(subsumption_resolution,[],[f695,f349]) ).
tff(f349,plain,
( sort1(int,sF15)
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f348]) ).
tff(f695,plain,
( ( cons_proj_11(int,sF8) = sF15 )
| ~ sort1(int,sF15)
| ~ spl22_48 ),
inference(superposition,[],[f151,f496]) ).
tff(f151,plain,
! [X2: uni,X0: uni,X1: ty] :
( ( cons_proj_11(X1,cons(X1,X2,X0)) = X2 )
| ~ sort1(X1,X2) ),
inference(cnf_transformation,[],[f145]) ).
tff(f145,plain,
! [X0: uni,X2: uni,X1: ty] :
( ~ sort1(X1,X2)
| ( cons_proj_11(X1,cons(X1,X2,X0)) = X2 ) ),
inference(ennf_transformation,[],[f117]) ).
tff(f117,plain,
! [X2: uni,X1: ty,X0: uni] :
( sort1(X1,X2)
=> ( cons_proj_11(X1,cons(X1,X2,X0)) = X2 ) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X9: uni,X0: ty,X6: uni] :
( sort1(X0,X6)
=> ( cons_proj_11(X0,cons(X0,X6,X9)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_def1) ).
tff(f693,plain,
( spl22_60
| ~ spl22_36
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f642,f495,f426,f691]) ).
tff(f691,plain,
( spl22_60
<=> ( hd(int,sF8) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_60])]) ).
tff(f642,plain,
( ( hd(int,sF8) = sF16 )
| ~ spl22_36
| ~ spl22_48 ),
inference(forward_demodulation,[],[f640,f427]) ).
tff(f640,plain,
( ( hd(int,sF8) = some(int,sF15) )
| ~ spl22_48 ),
inference(superposition,[],[f213,f496]) ).
tff(f213,plain,
! [X2: uni,X0: ty,X1: uni] : ( some(X0,X1) = hd(X0,cons(X0,X1,X2)) ),
inference(cnf_transformation,[],[f50]) ).
tff(f647,plain,
( spl22_59
| ~ spl22_24
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f638,f426,f348,f645]) ).
tff(f645,plain,
( spl22_59
<=> ( some_proj_11(int,sF16) = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_59])]) ).
tff(f638,plain,
( ( some_proj_11(int,sF16) = sF15 )
| ~ spl22_24
| ~ spl22_36 ),
inference(subsumption_resolution,[],[f636,f349]) ).
tff(f636,plain,
( ~ sort1(int,sF15)
| ( some_proj_11(int,sF16) = sF15 )
| ~ spl22_36 ),
inference(superposition,[],[f170,f427]) ).
tff(f618,plain,
( ~ spl22_58
| ~ spl22_31
| spl22_51 ),
inference(avatar_split_clause,[],[f586,f526,f404,f616]) ).
tff(f526,plain,
( spl22_51
<=> ( nil(int) = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_51])]) ).
tff(f586,plain,
( ( 0 != sF9 )
| ~ spl22_31
| spl22_51 ),
inference(subsumption_resolution,[],[f584,f527]) ).
tff(f527,plain,
( ( nil(int) != sF8 )
| spl22_51 ),
inference(avatar_component_clause,[],[f526]) ).
tff(f584,plain,
( ( 0 != sF9 )
| ( nil(int) = sF8 )
| ~ spl22_31 ),
inference(superposition,[],[f175,f405]) ).
tff(f614,plain,
( spl22_57
| spl22_8
| ~ spl22_14
| ~ spl22_34 ),
inference(avatar_split_clause,[],[f596,f417,f302,f274,f612]) ).
tff(f596,plain,
( $less(sK7(sK1),sF10)
| spl22_8
| ~ spl22_14
| ~ spl22_34 ),
inference(forward_demodulation,[],[f595,f418]) ).
tff(f595,plain,
( $less(sK7(sK1),length1(int,sF11))
| spl22_8
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f592,f275]) ).
tff(f592,plain,
( $less(sK7(sK1),length1(int,sF11))
| no_zero1(sK1)
| ~ spl22_14 ),
inference(superposition,[],[f201,f303]) ).
tff(f201,plain,
! [X0: list_int] :
( $less(sK7(X0),length1(int,t2tb1(X0)))
| no_zero1(X0) ),
inference(cnf_transformation,[],[f127]) ).
tff(f582,plain,
( spl22_56
| spl22_42
| spl22_3 ),
inference(avatar_split_clause,[],[f573,f251,f457,f579]) ).
tff(f579,plain,
( spl22_56
<=> ( 0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_56])]) ).
tff(f251,plain,
( spl22_3
<=> $less(sK2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
tff(f573,plain,
( $less(0,sK2)
| ( 0 = sK2 )
| spl22_3 ),
inference(resolution,[],[f68,f252]) ).
tff(f252,plain,
( ~ $less(sK2,0)
| spl22_3 ),
inference(avatar_component_clause,[],[f251]) ).
tff(f567,plain,
( ~ spl22_55
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f491,f426,f565]) ).
tff(f491,plain,
( ( none(int) != sF16 )
| ~ spl22_36 ),
inference(superposition,[],[f218,f427]) ).
tff(f557,plain,
( spl22_54
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f552,f495,f555]) ).
tff(f555,plain,
( spl22_54
<=> ( cons_proj_21(int,sF8) = sF19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_54])]) ).
tff(f552,plain,
( ( cons_proj_21(int,sF8) = sF19 )
| ~ spl22_48 ),
inference(superposition,[],[f177,f496]) ).
tff(f177,plain,
! [X2: uni,X0: ty,X1: uni] : ( cons_proj_21(X0,cons(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f109]) ).
tff(f109,plain,
! [X2: uni,X0: ty,X1: uni] : ( cons_proj_21(X0,cons(X0,X1,X2)) = X2 ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X0: ty,X6: uni,X9: uni] : ( cons_proj_21(X0,cons(X0,X6,X9)) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def1) ).
tff(f543,plain,
( spl22_53
| ~ spl22_16 ),
inference(avatar_split_clause,[],[f390,f310,f541]) ).
tff(f390,plain,
( ( sF13 = t2tb1(sF14) )
| ~ spl22_16 ),
inference(superposition,[],[f215,f311]) ).
tff(f539,plain,
( ~ spl22_52
| ~ spl22_15
| spl22_51 ),
inference(avatar_split_clause,[],[f529,f526,f306,f537]) ).
tff(f537,plain,
( spl22_52
<=> ( sF13 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_52])]) ).
tff(f529,plain,
( ( sF13 != sF8 )
| ~ spl22_15
| spl22_51 ),
inference(superposition,[],[f527,f307]) ).
tff(f528,plain,
( ~ spl22_51
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f523,f495,f526]) ).
tff(f523,plain,
( ( nil(int) != sF8 )
| ~ spl22_48 ),
inference(superposition,[],[f171,f496]) ).
tff(f171,plain,
! [X2: uni,X0: uni,X1: ty] : ( cons(X1,X2,X0) != nil(X1) ),
inference(cnf_transformation,[],[f91]) ).
tff(f91,plain,
! [X0: uni,X1: ty,X2: uni] : ( cons(X1,X2,X0) != nil(X1) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X11: uni,X0: ty,X10: uni] : ( nil(X0) != cons(X0,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons1) ).
tff(f505,plain,
( spl22_50
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f388,f328,f503]) ).
tff(f503,plain,
( spl22_50
<=> ( sK5 = tb2t1(sF19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_50])]) ).
tff(f388,plain,
( ( sK5 = tb2t1(sF19) )
| ~ spl22_20 ),
inference(superposition,[],[f214,f329]) ).
tff(f501,plain,
( spl22_49
| ~ spl22_14 ),
inference(avatar_split_clause,[],[f387,f302,f499]) ).
tff(f387,plain,
( ( sK1 = tb2t1(sF11) )
| ~ spl22_14 ),
inference(superposition,[],[f214,f303]) ).
tff(f497,plain,
( spl22_48
| ~ spl22_23
| ~ spl22_29 ),
inference(avatar_split_clause,[],[f493,f395,f344,f495]) ).
tff(f344,plain,
( spl22_23
<=> ( sF15 = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).
tff(f395,plain,
( spl22_29
<=> ( sF8 = sF20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).
tff(f493,plain,
( ( cons(int,sF15,sF19) = sF8 )
| ~ spl22_23
| ~ spl22_29 ),
inference(forward_demodulation,[],[f492,f396]) ).
tff(f396,plain,
( ( sF8 = sF20 )
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f395]) ).
tff(f492,plain,
( ( cons(int,sF15,sF19) = sF20 )
| ~ spl22_23 ),
inference(forward_demodulation,[],[f238,f345]) ).
tff(f345,plain,
( ( sF15 = sF18 )
| ~ spl22_23 ),
inference(avatar_component_clause,[],[f344]) ).
tff(f238,plain,
sF20 = cons(int,sF18,sF19),
introduced(function_definition,[]) ).
tff(f488,plain,
( spl22_47
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f376,f306,f486]) ).
tff(f486,plain,
( spl22_47
<=> sort1(list(int),sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_47])]) ).
tff(f376,plain,
( sort1(list(int),sF13)
| ~ spl22_15 ),
inference(superposition,[],[f179,f307]) ).
tff(f179,plain,
! [X0: ty] : sort1(list(X0),nil(X0)),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: ty] : sort1(list(X0),nil(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_sort3) ).
tff(f484,plain,
( spl22_46
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f375,f314,f482]) ).
tff(f482,plain,
( spl22_46
<=> ( 0 = tb2t2(sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_46])]) ).
tff(f375,plain,
( ( 0 = tb2t2(sF15) )
| ~ spl22_17 ),
inference(superposition,[],[f173,f315]) ).
tff(f173,plain,
! [X0: $int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(cnf_transformation,[],[f100]) ).
tff(f100,plain,
! [X0: $int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X14: $int] : ( tb2t2(t2tb2(X14)) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2) ).
tff(f480,plain,
( spl22_45
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f366,f328,f478]) ).
tff(f478,plain,
( spl22_45
<=> sort1(list(int),sF19) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_45])]) ).
tff(f366,plain,
( sort1(list(int),sF19)
| ~ spl22_20 ),
inference(superposition,[],[f165,f329]) ).
tff(f475,plain,
( ~ spl22_37
| ~ spl22_31 ),
inference(avatar_split_clause,[],[f429,f404,f434]) ).
tff(f429,plain,
( ~ $less(sF9,0)
| ~ spl22_31 ),
inference(superposition,[],[f208,f405]) ).
tff(f208,plain,
! [X0: ty,X1: uni] : ~ $less(length1(X0,X1),0),
inference(cnf_transformation,[],[f90]) ).
tff(f90,plain,
! [X0: ty,X1: uni] : ~ $less(length1(X0,X1),0),
inference(rectify,[],[f56]) ).
tff(f56,plain,
! [X0: ty,X12: uni] : ~ $less(length1(X0,X12),0),
inference(theory_normalization,[],[f21]) ).
tff(f21,axiom,
! [X0: ty,X12: uni] : $lesseq(0,length1(X0,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative) ).
tff(f473,plain,
( ~ spl22_43
| ~ spl22_44
| spl22_35
| ~ spl22_38 ),
inference(avatar_split_clause,[],[f466,f437,f422,f471,f468]) ).
tff(f468,plain,
( spl22_43
<=> ( sF17 = tb2t(nth1(int,sF9,sF8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_43])]) ).
tff(f471,plain,
( spl22_44
<=> $less(sF10,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_44])]) ).
tff(f437,plain,
( spl22_38
<=> ( nth1(int,sF9,sF8) = nth1(int,sF10,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_38])]) ).
tff(f466,plain,
( ~ $less(sF10,sK2)
| ( sF17 != tb2t(nth1(int,sF9,sF8)) )
| spl22_35
| ~ spl22_38 ),
inference(subsumption_resolution,[],[f465,f423]) ).
tff(f465,plain,
( ~ $less(sF10,sK2)
| $less(sF10,0)
| ( sF17 != tb2t(nth1(int,sF9,sF8)) )
| ~ spl22_38 ),
inference(superposition,[],[f233,f438]) ).
tff(f438,plain,
( ( nth1(int,sF9,sF8) = nth1(int,sF10,sF11) )
| ~ spl22_38 ),
inference(avatar_component_clause,[],[f437]) ).
tff(f464,plain,
( ~ spl22_31
| ~ spl22_37 ),
inference(avatar_contradiction_clause,[],[f463]) ).
tff(f463,plain,
( $false
| ~ spl22_31
| ~ spl22_37 ),
inference(subsumption_resolution,[],[f429,f435]) ).
tff(f435,plain,
( $less(sF9,0)
| ~ spl22_37 ),
inference(avatar_component_clause,[],[f434]) ).
tff(f459,plain,
( ~ spl22_41
| ~ spl22_42
| spl22_40
| ~ spl22_39 ),
inference(avatar_split_clause,[],[f452,f441,f444,f457,f454]) ).
tff(f454,plain,
( spl22_41
<=> ( sF17 = tb2t(nth1(int,0,sF11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).
tff(f441,plain,
( spl22_39
<=> ( nth1(int,$uminus(sK2),sF8) = nth1(int,0,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_39])]) ).
tff(f452,plain,
( $less($uminus(sK2),0)
| ~ $less(0,sK2)
| ( sF17 != tb2t(nth1(int,0,sF11)) )
| ~ spl22_39 ),
inference(forward_demodulation,[],[f451,f65]) ).
tff(f451,plain,
( ~ $less($sum(sK2,$uminus(sK2)),sK2)
| ( sF17 != tb2t(nth1(int,0,sF11)) )
| $less($uminus(sK2),0)
| ~ spl22_39 ),
inference(evaluation,[],[f450]) ).
tff(f450,plain,
( ~ $less($sum(sK2,$uminus(sK2)),sK2)
| $less($uminus(sK2),0)
| ( sF17 != tb2t(nth1(int,0,sF11)) )
| $less(0,0)
| ~ spl22_39 ),
inference(forward_demodulation,[],[f449,f65]) ).
tff(f449,plain,
( $less($sum(sK2,$uminus(sK2)),0)
| ( sF17 != tb2t(nth1(int,0,sF11)) )
| $less($uminus(sK2),0)
| ~ $less($sum(sK2,$uminus(sK2)),sK2)
| ~ spl22_39 ),
inference(superposition,[],[f294,f442]) ).
tff(f442,plain,
( ( nth1(int,$uminus(sK2),sF8) = nth1(int,0,sF11) )
| ~ spl22_39 ),
inference(avatar_component_clause,[],[f441]) ).
tff(f446,plain,
( spl22_39
| spl22_40 ),
inference(avatar_split_clause,[],[f432,f444,f441]) ).
tff(f432,plain,
( $less($uminus(sK2),0)
| ( nth1(int,$uminus(sK2),sF8) = nth1(int,0,sF11) ) ),
inference(superposition,[],[f359,f65]) ).
tff(f439,plain,
( spl22_37
| spl22_38
| ~ spl22_33 ),
inference(avatar_split_clause,[],[f430,f412,f437,f434]) ).
tff(f412,plain,
( spl22_33
<=> ( $sum(sK2,sF9) = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_33])]) ).
tff(f430,plain,
( ( nth1(int,sF9,sF8) = nth1(int,sF10,sF11) )
| $less(sF9,0)
| ~ spl22_33 ),
inference(superposition,[],[f359,f413]) ).
tff(f413,plain,
( ( $sum(sK2,sF9) = sF10 )
| ~ spl22_33 ),
inference(avatar_component_clause,[],[f412]) ).
tff(f428,plain,
spl22_36,
inference(avatar_split_clause,[],[f231,f426]) ).
tff(f424,plain,
( ~ spl22_35
| ~ spl22_34 ),
inference(avatar_split_clause,[],[f420,f417,f422]) ).
tff(f420,plain,
( ~ $less(sF10,0)
| ~ spl22_34 ),
inference(superposition,[],[f208,f418]) ).
tff(f419,plain,
( spl22_34
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f415,f255,f417]) ).
tff(f415,plain,
( ( sF10 = length1(int,sF11) )
| ~ spl22_4 ),
inference(forward_demodulation,[],[f223,f256]) ).
tff(f223,plain,
sF12 = length1(int,sF11),
introduced(function_definition,[]) ).
tff(f414,plain,
spl22_33,
inference(avatar_split_clause,[],[f221,f412]) ).
tff(f221,plain,
$sum(sK2,sF9) = sF10,
introduced(function_definition,[]) ).
tff(f410,plain,
( spl22_32
| ~ spl22_14 ),
inference(avatar_split_clause,[],[f365,f302,f408]) ).
tff(f408,plain,
( spl22_32
<=> sort1(list(int),sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).
tff(f365,plain,
( sort1(list(int),sF11)
| ~ spl22_14 ),
inference(superposition,[],[f165,f303]) ).
tff(f406,plain,
spl22_31,
inference(avatar_split_clause,[],[f220,f404]) ).
tff(f220,plain,
sF9 = length1(int,sF8),
introduced(function_definition,[]) ).
tff(f401,plain,
( spl22_30
| ~ spl22_13
| ~ spl22_21 ),
inference(avatar_split_clause,[],[f393,f333,f298,f399]) ).
tff(f333,plain,
( spl22_21
<=> ( tb2t1(sF20) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
tff(f393,plain,
( ( tb2t1(sF8) = sK3 )
| ~ spl22_13
| ~ spl22_21 ),
inference(backward_demodulation,[],[f334,f392]) ).
tff(f392,plain,
( ( sF8 = sF20 )
| ~ spl22_13
| ~ spl22_21 ),
inference(forward_demodulation,[],[f389,f299]) ).
tff(f389,plain,
( ( t2tb1(sK3) = sF20 )
| ~ spl22_21 ),
inference(superposition,[],[f215,f334]) ).
tff(f334,plain,
( ( tb2t1(sF20) = sK3 )
| ~ spl22_21 ),
inference(avatar_component_clause,[],[f333]) ).
tff(f397,plain,
( spl22_29
| ~ spl22_13
| ~ spl22_21 ),
inference(avatar_split_clause,[],[f392,f333,f298,f395]) ).
tff(f385,plain,
( spl22_28
| ~ spl22_13 ),
inference(avatar_split_clause,[],[f364,f298,f383]) ).
tff(f383,plain,
( spl22_28
<=> sort1(list(int),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_28])]) ).
tff(f364,plain,
( sort1(list(int),sF8)
| ~ spl22_13 ),
inference(superposition,[],[f165,f299]) ).
tff(f380,plain,
( spl22_27
| ~ spl22_18 ),
inference(avatar_split_clause,[],[f358,f318,f378]) ).
tff(f358,plain,
( ( t2tb(sF17) = sF16 )
| ~ spl22_18 ),
inference(superposition,[],[f153,f319]) ).
tff(f370,plain,
( spl22_26
| ~ spl22_25 ),
inference(avatar_split_clause,[],[f363,f354,f368]) ).
tff(f354,plain,
( spl22_25
<=> ( tb2t(nth1(int,0,sF8)) = tb2t(nth1(int,sK2,sF11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
tff(f363,plain,
( ( nth1(int,sK2,sF11) = nth1(int,0,sF8) )
| ~ spl22_25 ),
inference(forward_demodulation,[],[f362,f153]) ).
tff(f362,plain,
( ( nth1(int,sK2,sF11) = t2tb(tb2t(nth1(int,0,sF8))) )
| ~ spl22_25 ),
inference(superposition,[],[f153,f355]) ).
tff(f355,plain,
( ( tb2t(nth1(int,0,sF8)) = tb2t(nth1(int,sK2,sF11)) )
| ~ spl22_25 ),
inference(avatar_component_clause,[],[f354]) ).
tff(f356,plain,
spl22_25,
inference(avatar_split_clause,[],[f352,f354]) ).
tff(f352,plain,
tb2t(nth1(int,0,sF8)) = tb2t(nth1(int,sK2,sF11)),
inference(evaluation,[],[f351]) ).
tff(f351,plain,
( $less(0,0)
| ( tb2t(nth1(int,0,sF8)) = tb2t(nth1(int,sK2,sF11)) ) ),
inference(superposition,[],[f229,f63]) ).
tff(f350,plain,
( spl22_24
| ~ spl22_17
| ~ spl22_19
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f342,f337,f323,f314,f348]) ).
tff(f323,plain,
( spl22_19
<=> ( t2tb2(0) = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
tff(f337,plain,
( spl22_22
<=> sort1(int,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
tff(f342,plain,
( sort1(int,sF15)
| ~ spl22_17
| ~ spl22_19
| ~ spl22_22 ),
inference(backward_demodulation,[],[f338,f340]) ).
tff(f340,plain,
( ( sF15 = sF18 )
| ~ spl22_17
| ~ spl22_19 ),
inference(backward_demodulation,[],[f324,f315]) ).
tff(f324,plain,
( ( t2tb2(0) = sF18 )
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f323]) ).
tff(f338,plain,
( sort1(int,sF18)
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f337]) ).
tff(f346,plain,
( spl22_23
| ~ spl22_17
| ~ spl22_19 ),
inference(avatar_split_clause,[],[f340,f323,f314,f344]) ).
tff(f339,plain,
( spl22_22
| ~ spl22_19 ),
inference(avatar_split_clause,[],[f326,f323,f337]) ).
tff(f326,plain,
( sort1(int,sF18)
| ~ spl22_19 ),
inference(superposition,[],[f198,f324]) ).
tff(f198,plain,
! [X0: $int] : sort1(int,t2tb2(X0)),
inference(cnf_transformation,[],[f92]) ).
tff(f92,plain,
! [X0: $int] : sort1(int,t2tb2(X0)),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X1: $int] : sort1(int,t2tb2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort5) ).
tff(f335,plain,
( spl22_21
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f331,f264,f333]) ).
tff(f264,plain,
( spl22_6
<=> ( sF21 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
tff(f331,plain,
( ( tb2t1(sF20) = sK3 )
| ~ spl22_6 ),
inference(forward_demodulation,[],[f239,f265]) ).
tff(f265,plain,
( ( sF21 = sK3 )
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f264]) ).
tff(f239,plain,
tb2t1(sF20) = sF21,
introduced(function_definition,[]) ).
tff(f330,plain,
spl22_20,
inference(avatar_split_clause,[],[f237,f328]) ).
tff(f237,plain,
sF19 = t2tb1(sK5),
introduced(function_definition,[]) ).
tff(f325,plain,
( spl22_19
| ~ spl22_7 ),
inference(avatar_split_clause,[],[f321,f269,f323]) ).
tff(f269,plain,
( spl22_7
<=> ( 0 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
tff(f321,plain,
( ( t2tb2(0) = sF18 )
| ~ spl22_7 ),
inference(forward_demodulation,[],[f236,f270]) ).
tff(f270,plain,
( ( 0 = sK6 )
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f269]) ).
tff(f236,plain,
t2tb2(sK6) = sF18,
introduced(function_definition,[]) ).
tff(f320,plain,
spl22_18,
inference(avatar_split_clause,[],[f232,f318]) ).
tff(f316,plain,
spl22_17,
inference(avatar_split_clause,[],[f230,f314]) ).
tff(f312,plain,
spl22_16,
inference(avatar_split_clause,[],[f226,f310]) ).
tff(f226,plain,
tb2t1(sF13) = sF14,
introduced(function_definition,[]) ).
tff(f308,plain,
spl22_15,
inference(avatar_split_clause,[],[f225,f306]) ).
tff(f225,plain,
nil(int) = sF13,
introduced(function_definition,[]) ).
tff(f304,plain,
spl22_14,
inference(avatar_split_clause,[],[f222,f302]) ).
tff(f300,plain,
spl22_13,
inference(avatar_split_clause,[],[f219,f298]) ).
tff(f292,plain,
~ spl22_12,
inference(avatar_split_clause,[],[f163,f290]) ).
tff(f290,plain,
( spl22_12
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
tff(f163,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False) ).
tff(f288,plain,
( ~ spl22_10
| ~ spl22_11
| spl22_3
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f281,f255,f251,f286,f283]) ).
tff(f281,plain,
( ~ zero_at1(sK1,sK2)
| ~ $less(sK2,sF10)
| spl22_3
| ~ spl22_4 ),
inference(forward_demodulation,[],[f280,f256]) ).
tff(f280,plain,
( ~ $less(sK2,sF12)
| ~ zero_at1(sK1,sK2)
| spl22_3 ),
inference(subsumption_resolution,[],[f234,f252]) ).
tff(f234,plain,
( $less(sK2,0)
| ~ zero_at1(sK1,sK2)
| ~ $less(sK2,sF12) ),
inference(definition_folding,[],[f186,f223,f222]) ).
tff(f186,plain,
( ~ zero_at1(sK1,sK2)
| ~ $less(sK2,length1(int,t2tb1(sK1)))
| $less(sK2,0) ),
inference(cnf_transformation,[],[f142]) ).
tff(f279,plain,
( ~ spl22_8
| ~ spl22_9
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f272,f255,f277,f274]) ).
tff(f277,plain,
( spl22_9
<=> ( sK2 = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
tff(f272,plain,
( ( sK2 != sF10 )
| ~ no_zero1(sK1)
| ~ spl22_4 ),
inference(forward_demodulation,[],[f235,f256]) ).
tff(f235,plain,
( ~ no_zero1(sK1)
| ( sK2 != sF12 ) ),
inference(definition_folding,[],[f185,f223,f222]) ).
tff(f185,plain,
( ~ no_zero1(sK1)
| ( sK2 != length1(int,t2tb1(sK1)) ) ),
inference(cnf_transformation,[],[f142]) ).
tff(f271,plain,
( spl22_7
| ~ spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f267,f247,f243,f269]) ).
tff(f243,plain,
( spl22_1
<=> ( sK6 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
tff(f247,plain,
( spl22_2
<=> ( 0 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
tff(f267,plain,
( ( 0 = sK6 )
| ~ spl22_1
| ~ spl22_2 ),
inference(backward_demodulation,[],[f244,f248]) ).
tff(f248,plain,
( ( 0 = sK4 )
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f247]) ).
tff(f244,plain,
( ( sK6 = sK4 )
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f266,plain,
spl22_6,
inference(avatar_split_clause,[],[f240,f264]) ).
tff(f240,plain,
sF21 = sK3,
inference(definition_folding,[],[f183,f239,f238,f237,f236]) ).
tff(f183,plain,
tb2t1(cons(int,t2tb2(sK6),t2tb1(sK5))) = sK3,
inference(cnf_transformation,[],[f142]) ).
tff(f262,plain,
~ spl22_5,
inference(avatar_split_clause,[],[f228,f259]) ).
tff(f259,plain,
( spl22_5
<=> ( sK3 = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
tff(f228,plain,
sK3 != sF14,
inference(definition_folding,[],[f191,f226,f225]) ).
tff(f191,plain,
tb2t1(nil(int)) != sK3,
inference(cnf_transformation,[],[f142]) ).
tff(f261,plain,
~ spl22_5,
inference(avatar_split_clause,[],[f227,f259]) ).
tff(f227,plain,
sK3 != sF14,
inference(definition_folding,[],[f192,f226,f225]) ).
tff(f192,plain,
tb2t1(nil(int)) != sK3,
inference(cnf_transformation,[],[f142]) ).
tff(f257,plain,
spl22_4,
inference(avatar_split_clause,[],[f224,f255]) ).
tff(f224,plain,
sF10 = sF12,
inference(definition_folding,[],[f193,f223,f222,f221,f220,f219]) ).
tff(f193,plain,
$sum(sK2,length1(int,t2tb1(sK3))) = length1(int,t2tb1(sK1)),
inference(cnf_transformation,[],[f142]) ).
tff(f253,plain,
~ spl22_3,
inference(avatar_split_clause,[],[f190,f251]) ).
tff(f190,plain,
~ $less(sK2,0),
inference(cnf_transformation,[],[f142]) ).
tff(f249,plain,
spl22_2,
inference(avatar_split_clause,[],[f189,f247]) ).
tff(f189,plain,
0 = sK4,
inference(cnf_transformation,[],[f142]) ).
tff(f245,plain,
spl22_1,
inference(avatar_split_clause,[],[f184,f243]) ).
tff(f184,plain,
sK6 = sK4,
inference(cnf_transformation,[],[f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW670=2 : TPTP v8.1.0. Released v6.1.0.
% 0.11/0.13 % 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 : n006.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 : Tue Aug 30 20:58:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (5125)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)
% 0.20/0.51 % (5128)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)
% 0.20/0.51 % (5136)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)
% 0.20/0.51 % (5136)Instruction limit reached!
% 0.20/0.51 % (5136)------------------------------
% 0.20/0.51 % (5136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (5136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (5136)Termination reason: Unknown
% 0.20/0.51 % (5136)Termination phase: Property scanning
% 0.20/0.51
% 0.20/0.51 % (5136)Memory used [KB]: 1023
% 0.20/0.51 % (5136)Time elapsed: 0.002 s
% 0.20/0.51 % (5136)Instructions burned: 2 (million)
% 0.20/0.51 % (5136)------------------------------
% 0.20/0.51 % (5136)------------------------------
% 0.20/0.52 % (5146)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 % (5144)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)
% 0.20/0.52 % (5141)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)
% 0.20/0.52 % (5126)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)
% 0.20/0.52 % (5122)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 % (5126)Instruction limit reached!
% 0.20/0.53 % (5126)------------------------------
% 0.20/0.53 % (5126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5126)Termination reason: Unknown
% 0.20/0.53 % (5126)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5126)Memory used [KB]: 5756
% 0.20/0.53 % (5126)Time elapsed: 0.128 s
% 0.20/0.53 % (5126)Instructions burned: 15 (million)
% 0.20/0.53 % (5126)------------------------------
% 0.20/0.53 % (5126)------------------------------
% 0.20/0.53 % (5138)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)
% 0.20/0.53 % (5130)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)
% 0.20/0.53 % (5123)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)
% 0.20/0.53 % (5130)Instruction limit reached!
% 0.20/0.53 % (5130)------------------------------
% 0.20/0.53 % (5130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5134)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53 % (5133)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)
% 0.20/0.53 % (5133)Instruction limit reached!
% 0.20/0.53 % (5133)------------------------------
% 0.20/0.53 % (5133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5133)Termination reason: Unknown
% 0.20/0.53 % (5133)Termination phase: shuffling
% 0.20/0.53
% 0.20/0.53 % (5133)Memory used [KB]: 1023
% 0.20/0.53 % (5133)Time elapsed: 0.002 s
% 0.20/0.53 % (5133)Instructions burned: 2 (million)
% 0.20/0.53 % (5133)------------------------------
% 0.20/0.53 % (5133)------------------------------
% 0.20/0.53 % (5121)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)
% 0.20/0.53 % (5145)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)
% 0.20/0.54 % (5127)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)
% 0.20/0.54 % (5150)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)
% 0.20/0.54 % (5141)Instruction limit reached!
% 0.20/0.54 % (5141)------------------------------
% 0.20/0.54 % (5141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5130)Termination reason: Unknown
% 0.20/0.54 % (5130)Termination phase: Preprocessing 1
% 0.20/0.54
% 0.20/0.54 % (5130)Memory used [KB]: 1023
% 0.20/0.54 % (5130)Time elapsed: 0.003 s
% 0.20/0.54 % (5130)Instructions burned: 4 (million)
% 0.20/0.54 % (5130)------------------------------
% 0.20/0.54 % (5130)------------------------------
% 0.20/0.54 % (5147)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.54 % (5141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5141)Termination reason: Unknown
% 0.20/0.54 % (5141)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (5141)Memory used [KB]: 1279
% 0.20/0.54 % (5141)Time elapsed: 0.138 s
% 0.20/0.54 % (5141)Instructions burned: 16 (million)
% 0.20/0.54 % (5141)------------------------------
% 0.20/0.54 % (5141)------------------------------
% 0.20/0.54 % (5124)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)
% 0.20/0.54 % (5124)Instruction limit reached!
% 0.20/0.54 % (5124)------------------------------
% 0.20/0.54 % (5124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5124)Termination reason: Unknown
% 0.20/0.54 % (5124)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (5124)Memory used [KB]: 1023
% 0.20/0.54 % (5124)Time elapsed: 0.002 s
% 0.20/0.54 % (5124)Instructions burned: 2 (million)
% 0.20/0.54 % (5124)------------------------------
% 0.20/0.54 % (5124)------------------------------
% 0.20/0.54 % (5142)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)
% 0.20/0.55 % (5143)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)
% 0.20/0.55 % (5123)Instruction limit reached!
% 0.20/0.55 % (5123)------------------------------
% 0.20/0.55 % (5123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5123)Termination reason: Unknown
% 0.20/0.55 % (5123)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (5123)Memory used [KB]: 5628
% 0.20/0.55 % (5123)Time elapsed: 0.121 s
% 0.20/0.55 % (5123)Instructions burned: 8 (million)
% 0.20/0.55 % (5123)------------------------------
% 0.20/0.55 % (5123)------------------------------
% 0.20/0.55 % (5125)Instruction limit reached!
% 0.20/0.55 % (5125)------------------------------
% 0.20/0.55 % (5125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5125)Termination reason: Unknown
% 0.20/0.55 % (5125)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (5125)Memory used [KB]: 6140
% 0.20/0.55 % (5125)Time elapsed: 0.135 s
% 0.20/0.55 % (5131)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.55 % (5125)Instructions burned: 38 (million)
% 0.20/0.55 % (5125)------------------------------
% 0.20/0.55 % (5125)------------------------------
% 0.20/0.55 % (5129)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)
% 0.20/0.55 % (5140)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)
% 0.20/0.55 % (5140)Instruction limit reached!
% 0.20/0.55 % (5140)------------------------------
% 0.20/0.55 % (5140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5140)Termination reason: Unknown
% 0.20/0.55 % (5140)Termination phase: Preprocessing 2
% 0.20/0.55
% 0.20/0.55 % (5140)Memory used [KB]: 1023
% 0.20/0.55 % (5140)Time elapsed: 0.003 s
% 0.20/0.55 % (5140)Instructions burned: 3 (million)
% 0.20/0.55 % (5140)------------------------------
% 0.20/0.55 % (5140)------------------------------
% 0.20/0.55 % (5135)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)
% 0.20/0.55 % (5122)Instruction limit reached!
% 0.20/0.55 % (5122)------------------------------
% 0.20/0.55 % (5122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5122)Termination reason: Unknown
% 0.20/0.55 % (5122)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (5122)Memory used [KB]: 6012
% 0.20/0.55 % (5122)Time elapsed: 0.135 s
% 0.20/0.55 % (5122)Instructions burned: 34 (million)
% 0.20/0.55 % (5122)------------------------------
% 0.20/0.55 % (5122)------------------------------
% 0.20/0.55 % (5132)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)
% 0.20/0.55 % (5137)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 % (5148)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.55 % (5137)Instruction limit reached!
% 0.20/0.55 % (5137)------------------------------
% 0.20/0.55 % (5137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5128)Instruction limit reached!
% 0.20/0.55 % (5128)------------------------------
% 0.20/0.55 % (5128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5137)Termination reason: Unknown
% 0.20/0.55 % (5137)Termination phase: Unused predicate definition removal
% 0.20/0.55
% 0.20/0.55 % (5128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5128)Termination reason: Unknown
% 0.20/0.55 % (5137)Memory used [KB]: 1023
% 0.20/0.55 % (5128)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (5137)Time elapsed: 0.002 s
% 0.20/0.55 % (5137)Instructions burned: 3 (million)
% 0.20/0.55 % (5137)------------------------------
% 0.20/0.55 % (5137)------------------------------
% 0.20/0.55 % (5128)Memory used [KB]: 6140
% 0.20/0.55 % (5128)Time elapsed: 0.093 s
% 0.20/0.55 % (5128)Instructions burned: 36 (million)
% 0.20/0.55 % (5128)------------------------------
% 0.20/0.55 % (5128)------------------------------
% 0.20/0.56 % (5132)Instruction limit reached!
% 0.20/0.56 % (5132)------------------------------
% 0.20/0.56 % (5132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5132)Termination reason: Unknown
% 0.20/0.56 % (5132)Termination phase: Function definition elimination
% 0.20/0.56
% 0.20/0.56 % (5132)Memory used [KB]: 1151
% 0.20/0.56 % (5132)Time elapsed: 0.004 s
% 0.20/0.56 % (5132)Instructions burned: 6 (million)
% 0.20/0.56 % (5132)------------------------------
% 0.20/0.56 % (5132)------------------------------
% 0.20/0.56 % (5134)Instruction limit reached!
% 0.20/0.56 % (5134)------------------------------
% 0.20/0.56 % (5134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5142)Instruction limit reached!
% 0.20/0.56 % (5142)------------------------------
% 0.20/0.56 % (5142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5142)Termination reason: Unknown
% 0.20/0.56 % (5142)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (5142)Memory used [KB]: 5884
% 0.20/0.56 % (5142)Time elapsed: 0.157 s
% 0.20/0.56 % (5142)Instructions burned: 22 (million)
% 0.20/0.56 % (5142)------------------------------
% 0.20/0.56 % (5142)------------------------------
% 0.20/0.56 % (5134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5134)Termination reason: Unknown
% 0.20/0.56 % (5134)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (5134)Memory used [KB]: 5756
% 0.20/0.56 % (5134)Time elapsed: 0.147 s
% 0.20/0.56 % (5134)Instructions burned: 21 (million)
% 0.20/0.56 % (5134)------------------------------
% 0.20/0.56 % (5134)------------------------------
% 0.20/0.56 % (5139)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)
% 0.20/0.56 % (5149)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)
% 0.20/0.57 % (5139)Instruction limit reached!
% 0.20/0.57 % (5139)------------------------------
% 0.20/0.57 % (5139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5146)Instruction limit reached!
% 0.20/0.57 % (5146)------------------------------
% 0.20/0.57 % (5146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5146)Termination reason: Unknown
% 0.20/0.57 % (5146)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (5146)Memory used [KB]: 6140
% 0.20/0.57 % (5146)Time elapsed: 0.115 s
% 0.20/0.57 % (5146)Instructions burned: 42 (million)
% 0.20/0.57 % (5146)------------------------------
% 0.20/0.57 % (5146)------------------------------
% 0.20/0.57 % (5150)Instruction limit reached!
% 0.20/0.57 % (5150)------------------------------
% 0.20/0.57 % (5150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5148)Instruction limit reached!
% 0.20/0.57 % (5148)------------------------------
% 0.20/0.57 % (5148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (5138)Instruction limit reached!
% 0.20/0.58 % (5138)------------------------------
% 0.20/0.58 % (5138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (5139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (5139)Termination reason: Unknown
% 0.20/0.58 % (5139)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (5139)Memory used [KB]: 5884
% 0.20/0.58 % (5139)Time elapsed: 0.160 s
% 0.20/0.58 % (5139)Instructions burned: 16 (million)
% 0.20/0.58 % (5139)------------------------------
% 0.20/0.58 % (5139)------------------------------
% 0.20/0.59 % (5150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (5150)Termination reason: Unknown
% 0.20/0.59 % (5150)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (5150)Memory used [KB]: 6140
% 0.20/0.59 % (5150)Time elapsed: 0.160 s
% 0.20/0.59 % (5150)Instructions burned: 41 (million)
% 0.20/0.59 % (5150)------------------------------
% 0.20/0.59 % (5150)------------------------------
% 0.20/0.59 % (5138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (5148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (5148)Termination reason: Unknown
% 0.20/0.59 % (5148)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (5148)Memory used [KB]: 5756
% 0.20/0.59 % (5148)Time elapsed: 0.164 s
% 0.20/0.59 % (5148)Instructions burned: 21 (million)
% 0.20/0.59 % (5148)------------------------------
% 0.20/0.59 % (5148)------------------------------
% 0.20/0.59 % (5138)Termination reason: Unknown
% 0.20/0.59 % (5138)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (5138)Memory used [KB]: 6140
% 0.20/0.59 % (5138)Time elapsed: 0.157 s
% 0.20/0.59 % (5138)Instructions burned: 50 (million)
% 0.20/0.59 % (5138)------------------------------
% 0.20/0.59 % (5138)------------------------------
% 0.20/0.59 % (5149)Instruction limit reached!
% 0.20/0.59 % (5149)------------------------------
% 0.20/0.59 % (5149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.59 % (5127)Instruction limit reached!
% 1.94/0.59 % (5127)------------------------------
% 1.94/0.59 % (5127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.59 % (5127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.59 % (5127)Termination reason: Unknown
% 1.94/0.59 % (5127)Termination phase: Saturation
% 1.94/0.59
% 1.94/0.59 % (5127)Memory used [KB]: 6012
% 1.94/0.59 % (5127)Time elapsed: 0.171 s
% 1.94/0.59 % (5127)Instructions burned: 34 (million)
% 1.94/0.59 % (5127)------------------------------
% 1.94/0.59 % (5127)------------------------------
% 1.94/0.59 % (5129)Instruction limit reached!
% 1.94/0.59 % (5129)------------------------------
% 1.94/0.59 % (5129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 % (5149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60 % (5149)Termination reason: Unknown
% 1.94/0.60 % (5149)Termination phase: Saturation
% 1.94/0.60
% 1.94/0.60 % (5149)Memory used [KB]: 5884
% 1.94/0.60 % (5149)Time elapsed: 0.177 s
% 1.94/0.60 % (5149)Instructions burned: 22 (million)
% 1.94/0.60 % (5149)------------------------------
% 1.94/0.60 % (5149)------------------------------
% 1.94/0.60 % (5129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60 % (5129)Termination reason: Unknown
% 1.94/0.60 % (5129)Termination phase: Saturation
% 1.94/0.60
% 1.94/0.60 % (5129)Memory used [KB]: 6012
% 1.94/0.60 % (5129)Time elapsed: 0.175 s
% 1.94/0.60 % (5129)Instructions burned: 27 (million)
% 1.94/0.60 % (5129)------------------------------
% 1.94/0.60 % (5129)------------------------------
% 1.94/0.60 % (5131)Instruction limit reached!
% 1.94/0.60 % (5131)------------------------------
% 1.94/0.60 % (5131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 % (5131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60 % (5131)Termination reason: Unknown
% 1.94/0.60 % (5131)Termination phase: Saturation
% 1.94/0.60
% 1.94/0.60 % (5131)Memory used [KB]: 6140
% 1.94/0.60 % (5131)Time elapsed: 0.192 s
% 1.94/0.60 % (5131)Instructions burned: 35 (million)
% 1.94/0.60 % (5131)------------------------------
% 1.94/0.60 % (5131)------------------------------
% 2.06/0.62 % (5147)Instruction limit reached!
% 2.06/0.62 % (5147)------------------------------
% 2.06/0.62 % (5147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 % (5147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (5147)Termination reason: Unknown
% 2.06/0.62 % (5147)Termination phase: Saturation
% 2.06/0.62
% 2.06/0.62 % (5147)Memory used [KB]: 6524
% 2.06/0.62 % (5147)Time elapsed: 0.197 s
% 2.06/0.62 % (5147)Instructions burned: 44 (million)
% 2.06/0.62 % (5147)------------------------------
% 2.06/0.62 % (5147)------------------------------
% 2.06/0.62 % (5144)Instruction limit reached!
% 2.06/0.62 % (5144)------------------------------
% 2.06/0.62 % (5144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 % (5144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (5144)Termination reason: Unknown
% 2.06/0.62 % (5144)Termination phase: Saturation
% 2.06/0.62
% 2.06/0.62 % (5144)Memory used [KB]: 6140
% 2.06/0.62 % (5144)Time elapsed: 0.176 s
% 2.06/0.62 % (5144)Instructions burned: 50 (million)
% 2.06/0.62 % (5144)------------------------------
% 2.06/0.62 % (5144)------------------------------
% 2.18/0.62 % (5135)Instruction limit reached!
% 2.18/0.62 % (5135)------------------------------
% 2.18/0.62 % (5135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.62 % (5135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.62 % (5135)Termination reason: Unknown
% 2.18/0.62 % (5135)Termination phase: Saturation
% 2.18/0.62
% 2.18/0.62 % (5135)Memory used [KB]: 6524
% 2.18/0.62 % (5135)Time elapsed: 0.207 s
% 2.18/0.62 % (5135)Instructions burned: 50 (million)
% 2.18/0.62 % (5135)------------------------------
% 2.18/0.62 % (5135)------------------------------
% 2.18/0.63 % (5143)Instruction limit reached!
% 2.18/0.63 % (5143)------------------------------
% 2.18/0.63 % (5143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (5143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (5143)Termination reason: Unknown
% 2.18/0.63 % (5143)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (5143)Memory used [KB]: 1663
% 2.18/0.63 % (5143)Time elapsed: 0.207 s
% 2.18/0.63 % (5143)Instructions burned: 47 (million)
% 2.18/0.63 % (5143)------------------------------
% 2.18/0.63 % (5143)------------------------------
% 2.18/0.63 % (5151)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)
% 2.18/0.63 % (5145)Instruction limit reached!
% 2.18/0.63 % (5145)------------------------------
% 2.18/0.63 % (5145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (5145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (5145)Termination reason: Unknown
% 2.18/0.63 % (5145)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (5145)Memory used [KB]: 1535
% 2.18/0.63 % (5145)Time elapsed: 0.199 s
% 2.18/0.63 % (5145)Instructions burned: 47 (million)
% 2.18/0.63 % (5145)------------------------------
% 2.18/0.63 % (5145)------------------------------
% 2.18/0.66 % (5151)Instruction limit reached!
% 2.18/0.66 % (5151)------------------------------
% 2.18/0.66 % (5151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.66 % (5151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.66 % (5151)Termination reason: Unknown
% 2.18/0.66 % (5151)Termination phase: Saturation
% 2.18/0.66
% 2.18/0.66 % (5151)Memory used [KB]: 5884
% 2.18/0.66 % (5151)Time elapsed: 0.107 s
% 2.18/0.66 % (5151)Instructions burned: 15 (million)
% 2.18/0.66 % (5151)------------------------------
% 2.18/0.66 % (5151)------------------------------
% 2.18/0.67 % (5164)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)
% 2.18/0.67 % (5160)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)
% 2.18/0.68 % (5152)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 (2997ds/47Mi)
% 2.18/0.68 % (5154)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 (2997ds/148Mi)
% 2.18/0.68 % (5155)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 (2997ds/100Mi)
% 2.18/0.68 % (5153)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 2.18/0.69 % (5156)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)
% 2.18/0.69 % (5163)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)
% 2.18/0.69 % (5157)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)
% 2.18/0.69 % (5158)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.18/0.69 % (5162)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)
% 2.18/0.70 % (5159)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)
% 2.18/0.70 % (5169)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)
% 2.18/0.70 % (5166)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)
% 2.18/0.71 % (5168)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)
% 2.18/0.71 % (5161)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)
% 2.57/0.71 % (5167)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)
% 2.57/0.71 % (5165)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)
% 2.57/0.72 % (5170)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)
% 2.57/0.72 % (5171)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)
% 2.57/0.73 % (5153)Instruction limit reached!
% 2.57/0.73 % (5153)------------------------------
% 2.57/0.73 % (5153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.73 % (5153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.73 % (5153)Termination reason: Unknown
% 2.57/0.73 % (5153)Termination phase: Saturation
% 2.57/0.73
% 2.57/0.73 % (5153)Memory used [KB]: 5884
% 2.57/0.73 % (5153)Time elapsed: 0.135 s
% 2.57/0.73 % (5153)Instructions burned: 25 (million)
% 2.57/0.73 % (5153)------------------------------
% 2.57/0.73 % (5153)------------------------------
% 2.57/0.73 % (5176)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)
% 2.57/0.74 % (5172)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.57/0.74 % (5152)Instruction limit reached!
% 2.57/0.74 % (5152)------------------------------
% 2.57/0.74 % (5152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.75 % (5174)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)
% 2.57/0.75 % (5175)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.57/0.75 % (5152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.76 % (5152)Termination reason: Unknown
% 2.57/0.76 % (5152)Termination phase: Saturation
% 2.57/0.76
% 2.57/0.76 % (5152)Memory used [KB]: 6396
% 2.57/0.76 % (5152)Time elapsed: 0.146 s
% 2.57/0.76 % (5152)Instructions burned: 48 (million)
% 2.57/0.76 % (5152)------------------------------
% 2.57/0.76 % (5152)------------------------------
% 2.57/0.76 % (5177)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)
% 2.57/0.76 % (5179)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 (2997ds/230Mi)
% 2.57/0.76 % (5178)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)
% 2.57/0.77 % (5173)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)
% 2.57/0.78 % (5180)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 (2997ds/360Mi)
% 2.86/0.80 % (5157)Instruction limit reached!
% 2.86/0.80 % (5157)------------------------------
% 2.86/0.80 % (5157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.80 % (5157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.80 % (5157)Termination reason: Unknown
% 2.86/0.80 % (5157)Termination phase: Saturation
% 2.86/0.80
% 2.86/0.80 % (5157)Memory used [KB]: 6652
% 2.86/0.80 % (5157)Time elapsed: 0.196 s
% 2.86/0.80 % (5157)Instructions burned: 58 (million)
% 2.86/0.80 % (5157)------------------------------
% 2.86/0.80 % (5157)------------------------------
% 2.86/0.83 % (5156)Instruction limit reached!
% 2.86/0.83 % (5156)------------------------------
% 2.86/0.83 % (5156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.83 % (5156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.83 % (5156)Termination reason: Unknown
% 2.86/0.83 % (5156)Termination phase: Saturation
% 2.86/0.83
% 2.86/0.83 % (5156)Memory used [KB]: 6908
% 2.86/0.83 % (5156)Time elapsed: 0.239 s
% 2.86/0.83 % (5156)Instructions burned: 78 (million)
% 2.86/0.83 % (5156)------------------------------
% 2.86/0.83 % (5156)------------------------------
% 2.86/0.83 % (5159)Instruction limit reached!
% 2.86/0.83 % (5159)------------------------------
% 2.86/0.83 % (5159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.84 % (5158)Instruction limit reached!
% 2.86/0.84 % (5158)------------------------------
% 2.86/0.84 % (5158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.84 % (5158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.84 % (5158)Termination reason: Unknown
% 2.86/0.84 % (5158)Termination phase: Saturation
% 2.86/0.84
% 2.86/0.84 % (5158)Memory used [KB]: 5884
% 2.86/0.84 % (5158)Time elapsed: 0.246 s
% 2.86/0.84 % (5158)Instructions burned: 96 (million)
% 2.86/0.84 % (5158)------------------------------
% 2.86/0.84 % (5158)------------------------------
% 2.86/0.85 % (5155)Instruction limit reached!
% 2.86/0.85 % (5155)------------------------------
% 2.86/0.85 % (5155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.85 % (5155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.85 % (5155)Termination reason: Unknown
% 2.86/0.85 % (5155)Termination phase: Saturation
% 2.86/0.85
% 2.86/0.85 % (5155)Memory used [KB]: 6652
% 2.86/0.85 % (5155)Time elapsed: 0.252 s
% 2.86/0.85 % (5155)Instructions burned: 100 (million)
% 2.86/0.85 % (5155)------------------------------
% 2.86/0.85 % (5155)------------------------------
% 2.86/0.85 % (5159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.85 % (5159)Termination reason: Unknown
% 2.86/0.85 % (5159)Termination phase: Saturation
% 2.86/0.85
% 2.86/0.85 % (5159)Memory used [KB]: 5884
% 2.86/0.85 % (5159)Time elapsed: 0.042 s
% 2.86/0.85 % (5159)Instructions burned: 108 (million)
% 2.86/0.85 % (5159)------------------------------
% 2.86/0.85 % (5159)------------------------------
% 2.86/0.86 % (5182)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)
% 2.86/0.86 % (5181)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)
% 2.86/0.86 % (5169)Instruction limit reached!
% 2.86/0.86 % (5169)------------------------------
% 2.86/0.86 % (5169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.86 % (5169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.86 % (5169)Termination reason: Unknown
% 2.86/0.86 % (5169)Termination phase: Saturation
% 2.86/0.86
% 2.86/0.86 % (5169)Memory used [KB]: 6524
% 2.86/0.86 % (5169)Time elapsed: 0.225 s
% 2.86/0.86 % (5169)Instructions burned: 82 (million)
% 2.86/0.86 % (5169)------------------------------
% 2.86/0.86 % (5169)------------------------------
% 3.25/0.87 % (5170)Instruction limit reached!
% 3.25/0.87 % (5170)------------------------------
% 3.25/0.87 % (5170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.88 % (5121)First to succeed.
% 3.25/0.88 % (5170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.88 % (5170)Termination reason: Unknown
% 3.25/0.88 % (5170)Termination phase: Saturation
% 3.25/0.88
% 3.25/0.88 % (5170)Memory used [KB]: 1535
% 3.25/0.88 % (5170)Time elapsed: 0.256 s
% 3.25/0.88 % (5170)Instructions burned: 146 (million)
% 3.25/0.88 % (5170)------------------------------
% 3.25/0.88 % (5170)------------------------------
% 3.40/0.90 % (5121)Refutation found. Thanks to Tanya!
% 3.40/0.90 % SZS status Theorem for theBenchmark
% 3.40/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/0.90 % (5121)------------------------------
% 3.40/0.90 % (5121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.90 % (5121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.90 % (5121)Termination reason: Refutation
% 3.40/0.90
% 3.40/0.90 % (5121)Memory used [KB]: 2430
% 3.40/0.90 % (5121)Time elapsed: 0.458 s
% 3.40/0.90 % (5121)Instructions burned: 249 (million)
% 3.40/0.90 % (5121)------------------------------
% 3.40/0.90 % (5121)------------------------------
% 3.40/0.90 % (5120)Success in time 0.534 s
%------------------------------------------------------------------------------