TSTP Solution File: SWW576_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW576_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 : n028.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 19:07:28 EDT 2022
% Result : Theorem 1.57s 0.62s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 58
% Syntax : Number of formulae : 151 ( 29 unt; 39 typ; 0 def)
% Number of atoms : 376 ( 153 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 391 ( 127 ~; 114 |; 103 &)
% ( 12 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 728 ( 116 atm; 186 fun; 280 num; 146 var)
% Number of types : 7 ( 5 usr; 1 ari)
% Number of type conns : 39 ( 19 >; 20 *; 0 +; 0 <<)
% Number of predicates : 8 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 30 usr; 25 con; 0-5 aty)
% Number of variables : 208 ( 160 !; 48 ?; 208 :)
% 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,
map_int_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,
map: ( ty * ty ) > ty ).
tff(func_def_13,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_14,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_15,type,
set2: ( map_int_int * $int * $int ) > map_int_int ).
tff(func_def_16,type,
t2tb: map_int_int > uni ).
tff(func_def_17,type,
tb2t: uni > map_int_int ).
tff(func_def_18,type,
t2tb1: $int > uni ).
tff(func_def_19,type,
tb2t1: uni > $int ).
tff(func_def_20,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_21,type,
ref: ty > ty ).
tff(func_def_22,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_23,type,
contents: ( ty * uni ) > uni ).
tff(func_def_24,type,
a1: $int ).
tff(func_def_34,type,
sK0: map_int_int ).
tff(func_def_35,type,
sK1: $int ).
tff(func_def_36,type,
sK2: $int ).
tff(func_def_37,type,
sK3: $int ).
tff(func_def_38,type,
sK4: $int ).
tff(func_def_39,type,
sK5: map_int_int ).
tff(func_def_40,type,
sK6: map_int_int > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
separation1: $int > $o ).
tff(pred_def_5,type,
inv1: map_int_int > $o ).
tff(pred_def_6,type,
inv_l21: ( map_int_int * $int * $int ) > $o ).
tff(f550,plain,
$false,
inference(evaluation,[],[f542]) ).
tff(f542,plain,
~ $less(-24,-16),
inference(resolution,[],[f528,f262]) ).
tff(f262,plain,
~ $less($sum(-24,sK1),a1),
inference(resolution,[],[f258,f42]) ).
tff(f42,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f258,plain,
! [X5: $int] :
( $less(X5,$sum(-24,sK1))
| ~ $less(X5,a1) ),
inference(evaluation,[],[f256]) ).
tff(f256,plain,
! [X5: $int] :
( ~ $less(X5,a1)
| ~ $less(0,10)
| $less(X5,$sum(-24,sK1)) ),
inference(superposition,[],[f231,f39]) ).
tff(f39,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f231,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(a1,X0))
| ~ $less(X0,10)
| $less(X1,$sum(-24,sK1)) ),
inference(superposition,[],[f227,f37]) ).
tff(f37,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f227,plain,
! [X4: $int,X5: $int] :
( ~ $less(X4,$sum(X5,a1))
| $less(X4,$sum(-24,sK1))
| ~ $less(X5,10) ),
inference(resolution,[],[f201,f45]) ).
tff(f45,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f201,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(10,a1))
| ~ $less(X1,X0)
| $less(X1,$sum(-24,sK1)) ),
inference(resolution,[],[f181,f43]) ).
tff(f43,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f181,plain,
! [X0: $int] :
( $less(X0,$sum(-24,sK1))
| ~ $less(X0,$sum(10,a1)) ),
inference(resolution,[],[f176,f43]) ).
tff(f176,plain,
$less($sum(10,a1),$sum(-24,sK1)),
inference(forward_demodulation,[],[f175,f37]) ).
tff(f175,plain,
$less($sum(a1,10),$sum(-24,sK1)),
inference(forward_demodulation,[],[f174,f37]) ).
tff(f174,plain,
$less($sum(a1,10),$sum(sK1,-24)),
inference(resolution,[],[f135,f171]) ).
tff(f171,plain,
! [X0: $int] :
( ~ separation1(X0)
| $less($sum(a1,10),$sum(X0,-24)) ),
inference(evaluation,[],[f149]) ).
tff(f149,plain,
! [X0: $int] :
( ~ separation1(X0)
| $less($sum(a1,10),$sum(X0,$uminus(24))) ),
inference(cnf_transformation,[],[f94]) ).
tff(f94,plain,
! [X0: $int] :
( $less($sum(a1,10),$sum(X0,$uminus(24)))
| ~ separation1(X0) ),
inference(ennf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: $int] :
( separation1(X0)
=> $less($sum(a1,10),$sum(X0,$uminus(24))) ),
inference(unused_predicate_definition_removal,[],[f60]) ).
tff(f60,plain,
! [X0: $int] :
( separation1(X0)
<=> $less($sum(a1,10),$sum(X0,$uminus(24))) ),
inference(rectify,[],[f36]) ).
tff(f36,plain,
! [X15: $int] :
( separation1(X15)
<=> $less($sum(a1,10),$sum(X15,$uminus(24))) ),
inference(theory_normalization,[],[f27]) ).
tff(f27,axiom,
! [X15: $int] :
( separation1(X15)
<=> $less($sum(a1,10),$difference(X15,24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',separation_def) ).
tff(f135,plain,
separation1(sK1),
inference(cnf_transformation,[],[f113]) ).
tff(f113,plain,
( inv1(sK0)
& ( 0 = sK2 )
& ( 0 = sK3 )
& ~ inv_l21(sK5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),sK4) = sK5 )
& ( 2 = sK4 )
& separation1(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f107,f112,f111,f110,f109,f108]) ).
tff(f108,plain,
( ? [X0: map_int_int,X1: $int] :
( inv1(X0)
& ? [X2: $int] :
( ( 0 = X2 )
& ? [X3: $int] :
( ( 0 = X3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,X1,X2)
& ( set2(X0,$sum(X1,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) ) )
& separation1(X1) )
=> ( inv1(sK0)
& ? [X2: $int] :
( ( 0 = X2 )
& ? [X3: $int] :
( ( 0 = X3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,sK1,X2)
& ( set2(sK0,$sum(sK1,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) ) )
& separation1(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f109,plain,
( ? [X2: $int] :
( ( 0 = X2 )
& ? [X3: $int] :
( ( 0 = X3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,sK1,X2)
& ( set2(sK0,$sum(sK1,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) ) )
=> ( ( 0 = sK2 )
& ? [X3: $int] :
( ( 0 = X3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f110,plain,
( ? [X3: $int] :
( ( 0 = X3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) )
=> ( ( 0 = sK3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f111,plain,
( ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) )
=> ( ? [X5: map_int_int] :
( ~ inv_l21(X5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),sK4) = X5 ) )
& ( 2 = sK4 ) ) ),
introduced(choice_axiom,[]) ).
tff(f112,plain,
( ? [X5: map_int_int] :
( ~ inv_l21(X5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),sK4) = X5 ) )
=> ( ~ inv_l21(sK5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),sK4) = sK5 ) ) ),
introduced(choice_axiom,[]) ).
tff(f107,plain,
? [X0: map_int_int,X1: $int] :
( inv1(X0)
& ? [X2: $int] :
( ( 0 = X2 )
& ? [X3: $int] :
( ( 0 = X3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,X1,X2)
& ( set2(X0,$sum(X1,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) ) )
& separation1(X1) ),
inference(rectify,[],[f97]) ).
tff(f97,plain,
? [X1: map_int_int,X0: $int] :
( inv1(X1)
& ? [X2: $int] :
( ( 0 = X2 )
& ? [X3: $int] :
( ( 0 = X3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,X0,X2)
& ( set2(X1,$sum(X0,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) ) )
& separation1(X0) ),
inference(flattening,[],[f96]) ).
tff(f96,plain,
? [X1: map_int_int,X0: $int] :
( ? [X2: $int] :
( ( 0 = X2 )
& ? [X3: $int] :
( ( 0 = X3 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,X0,X2)
& ( set2(X1,$sum(X0,$uminus(16)),X4) = X5 ) )
& ( 2 = X4 ) ) ) )
& separation1(X0)
& inv1(X1) ),
inference(ennf_transformation,[],[f56]) ).
tff(f56,plain,
~ ! [X1: map_int_int,X0: $int] :
( ( separation1(X0)
& inv1(X1) )
=> ! [X2: $int] :
( ( 0 = X2 )
=> ! [X3: $int] :
( ( 0 = X3 )
=> ! [X4: $int] :
( ( 2 = X4 )
=> ! [X5: map_int_int] :
( ( set2(X1,$sum(X0,$uminus(16)),X4) = X5 )
=> inv_l21(X5,X0,X2) ) ) ) ) ),
inference(rectify,[],[f33]) ).
tff(f33,plain,
~ ! [X15: $int,X16: map_int_int] :
( ( separation1(X15)
& inv1(X16) )
=> ! [X18: $int] :
( ( 0 = X18 )
=> ! [X19: $int] :
( ( 0 = X19 )
=> ! [X20: $int] :
( ( 2 = X20 )
=> ! [X21: map_int_int] :
( ( set2(X16,$sum(X15,$uminus(16)),X20) = X21 )
=> inv_l21(X21,X15,X18) ) ) ) ) ),
inference(theory_normalization,[],[f31]) ).
tff(f31,negated_conjecture,
~ ! [X15: $int,X16: map_int_int] :
( ( separation1(X15)
& inv1(X16) )
=> ! [X18: $int] :
( ( 0 = X18 )
=> ! [X19: $int] :
( ( 0 = X19 )
=> ! [X20: $int] :
( ( 2 = X20 )
=> ! [X21: map_int_int] :
( ( set2(X16,$difference(X15,16),X20) = X21 )
=> inv_l21(X21,X15,X18) ) ) ) ) ),
inference(negated_conjecture,[],[f30]) ).
tff(f30,conjecture,
! [X15: $int,X16: map_int_int] :
( ( separation1(X15)
& inv1(X16) )
=> ! [X18: $int] :
( ( 0 = X18 )
=> ! [X19: $int] :
( ( 0 = X19 )
=> ! [X20: $int] :
( ( 2 = X20 )
=> ! [X21: map_int_int] :
( ( set2(X16,$difference(X15,16),X20) = X21 )
=> inv_l21(X21,X15,X18) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_path_init_l2) ).
tff(f528,plain,
! [X2: $int] :
( $less($sum(X2,sK1),a1)
| ~ $less(X2,-16) ),
inference(superposition,[],[f45,f514]) ).
tff(f514,plain,
a1 = $sum(-16,sK1),
inference(subsumption_resolution,[],[f419,f507]) ).
tff(f507,plain,
~ inv1(sK5),
inference(trivial_inequality_removal,[],[f506]) ).
tff(f506,plain,
( ( 0 != 0 )
| ~ inv1(sK5) ),
inference(resolution,[],[f504,f168]) ).
tff(f168,plain,
~ inv_l21(sK5,sK1,0),
inference(definition_unfolding,[],[f138,f140]) ).
tff(f140,plain,
0 = sK2,
inference(cnf_transformation,[],[f113]) ).
tff(f138,plain,
~ inv_l21(sK5,sK1,sK2),
inference(cnf_transformation,[],[f113]) ).
tff(f504,plain,
! [X0: $int] :
( inv_l21(sK5,sK1,X0)
| ~ inv1(sK5)
| ( 0 != X0 ) ),
inference(equality_resolution,[],[f289]) ).
tff(f289,plain,
! [X0: $int,X1: $int] :
( ( $sum(-16,sK1) != $sum(-16,X0) )
| ~ inv1(sK5)
| ( 0 != X1 )
| inv_l21(sK5,X0,X1) ),
inference(superposition,[],[f194,f37]) ).
tff(f194,plain,
! [X0: $int,X1: $int] :
( ( $sum(-16,sK1) != $sum(X0,-16) )
| inv_l21(sK5,X0,X1)
| ( 0 != X1 )
| ~ inv1(sK5) ),
inference(evaluation,[],[f189]) ).
tff(f189,plain,
! [X0: $int,X1: $int] :
( ~ inv1(sK5)
| ( $sum(2,-2) != X1 )
| $less(2,2)
| $less(11,2)
| inv_l21(sK5,X0,X1)
| ( $sum(-16,sK1) != $sum(X0,-16) ) ),
inference(superposition,[],[f170,f180]) ).
tff(f180,plain,
! [X1: $int] :
( ( 2 = tb2t1(get(int,int,t2tb(sK5),t2tb1(X1))) )
| ( $sum(-16,sK1) != X1 ) ),
inference(superposition,[],[f157,f173]) ).
tff(f173,plain,
sK5 = set2(sK0,$sum(-16,sK1),2),
inference(forward_demodulation,[],[f172,f37]) ).
tff(f172,plain,
sK5 = set2(sK0,$sum(sK1,-16),2),
inference(evaluation,[],[f169]) ).
tff(f169,plain,
sK5 = set2(sK0,$sum(sK1,$uminus(16)),2),
inference(definition_unfolding,[],[f137,f136]) ).
tff(f136,plain,
2 = sK4,
inference(cnf_transformation,[],[f113]) ).
tff(f137,plain,
set2(sK0,$sum(sK1,$uminus(16)),sK4) = sK5,
inference(cnf_transformation,[],[f113]) ).
tff(f157,plain,
! [X2: map_int_int,X3: $int,X0: $int,X1: $int] :
( ( tb2t1(get(int,int,t2tb(set2(X2,X0,X3)),t2tb1(X1))) = X3 )
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f123]) ).
tff(f123,plain,
! [X0: $int,X1: $int,X2: map_int_int,X3: $int] :
( ( tb2t1(get(int,int,t2tb(set2(X2,X0,X3)),t2tb1(X1))) = X3 )
| ( X0 != X1 ) ),
inference(rectify,[],[f98]) ).
tff(f98,plain,
! [X1: $int,X3: $int,X0: map_int_int,X2: $int] :
( ( tb2t1(get(int,int,t2tb(set2(X0,X1,X2)),t2tb1(X3))) = X2 )
| ( X1 != X3 ) ),
inference(ennf_transformation,[],[f58]) ).
tff(f58,plain,
! [X3: $int,X1: $int,X0: map_int_int,X2: $int] :
( ( X1 = X3 )
=> ( tb2t1(get(int,int,t2tb(set2(X0,X1,X2)),t2tb1(X3))) = X2 ) ),
inference(rectify,[],[f17]) ).
tff(f17,axiom,
! [X11: map_int_int,X12: $int,X8: $int,X13: $int] :
( ( X12 = X13 )
=> ( tb2t1(get(int,int,t2tb(set2(X11,X12,X8)),t2tb1(X13))) = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_eq) ).
tff(f170,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( ( $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,-16)))),-2) != X2 )
| $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,-16)))),2)
| $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,-16)))))
| ~ inv1(X0)
| inv_l21(X0,X1,X2) ),
inference(evaluation,[],[f160]) ).
tff(f160,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( inv_l21(X0,X1,X2)
| $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)
| $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))))
| ~ inv1(X0)
| ( $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) != X2 ) ),
inference(cnf_transformation,[],[f103]) ).
tff(f103,plain,
! [X0: map_int_int,X1: $int,X2: $int] :
( ~ inv1(X0)
| $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))))
| $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)
| ( $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) != X2 )
| inv_l21(X0,X1,X2) ),
inference(flattening,[],[f102]) ).
tff(f102,plain,
! [X2: $int,X1: $int,X0: map_int_int] :
( inv_l21(X0,X1,X2)
| $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)
| ( $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) != X2 )
| ~ inv1(X0)
| $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) ),
inference(ennf_transformation,[],[f82]) ).
tff(f82,plain,
! [X2: $int,X1: $int,X0: map_int_int] :
( ( ~ $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)
& ( $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) = X2 )
& inv1(X0)
& ~ $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) )
=> inv_l21(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
tff(f57,plain,
! [X2: $int,X1: $int,X0: map_int_int] :
( inv_l21(X0,X1,X2)
<=> ( ~ $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)
& ( $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) = X2 )
& inv1(X0)
& ~ $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) ) ),
inference(rectify,[],[f55]) ).
tff(f55,plain,
! [X16: map_int_int,X15: $int,X18: $int] :
( inv_l21(X16,X15,X18)
<=> ( ~ $less(11,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16))))))
& inv1(X16)
& ~ $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16))))),2)
& ( $sum(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16))))),$uminus(2)) = X18 ) ) ),
inference(theory_normalization,[],[f34]) ).
tff(f34,plain,
! [X16: map_int_int,X15: $int,X18: $int] :
( inv_l21(X16,X15,X18)
<=> ( ~ $less(11,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16))))))
& inv1(X16)
& ~ $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16))))),2)
& ( $sum(tb2t1(get(int,int,t2tb(X16),t2tb1($difference(X15,16)))),$uminus(2)) = X18 ) ) ),
inference(theory_normalization,[],[f29]) ).
tff(f29,axiom,
! [X16: map_int_int,X15: $int,X18: $int] :
( inv_l21(X16,X15,X18)
<=> ( $lesseq(tb2t1(get(int,int,t2tb(X16),t2tb1($difference(X15,16)))),11)
& inv1(X16)
& $lesseq(2,tb2t1(get(int,int,t2tb(X16),t2tb1($difference(X15,16)))))
& ( $difference(tb2t1(get(int,int,t2tb(X16),t2tb1($difference(X15,16)))),2) = X18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inv_l2_def) ).
tff(f419,plain,
( inv1(sK5)
| ( a1 = $sum(-16,sK1) ) ),
inference(forward_demodulation,[],[f418,f129]) ).
tff(f129,plain,
! [X0: $int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
! [X0: $int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X9: $int] : ( tb2t1(t2tb1(X9)) = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL1) ).
tff(f418,plain,
( ( tb2t1(t2tb1(a1)) = $sum(-16,sK1) )
| inv1(sK5) ),
inference(subsumption_resolution,[],[f417,f129]) ).
tff(f417,plain,
( ( 0 != tb2t1(t2tb1(0)) )
| ( tb2t1(t2tb1(a1)) = $sum(-16,sK1) )
| inv1(sK5) ),
inference(forward_demodulation,[],[f415,f184]) ).
tff(f184,plain,
get(int,int,t2tb(sK0),t2tb1(a1)) = t2tb1(0),
inference(superposition,[],[f132,f178]) ).
tff(f178,plain,
0 = tb2t1(get(int,int,t2tb(sK0),t2tb1(a1))),
inference(resolution,[],[f141,f151]) ).
tff(f151,plain,
! [X0: map_int_int] :
( ~ inv1(X0)
| ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: map_int_int] :
( ( inv1(X0)
| ( ~ $less(sK6(X0),1)
& ~ $less(10,sK6(X0))
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK6(X0)))))) )
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
& ( ( ! [X2: $int] :
( $less(X2,1)
| $less(10,X2)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) )
& ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
| ~ inv1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f119,f120]) ).
tff(f120,plain,
! [X0: map_int_int] :
( ? [X1: $int] :
( ~ $less(X1,1)
& ~ $less(10,X1)
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) )
=> ( ~ $less(sK6(X0),1)
& ~ $less(10,sK6(X0))
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK6(X0)))))) ) ),
introduced(choice_axiom,[]) ).
tff(f119,plain,
! [X0: map_int_int] :
( ( inv1(X0)
| ? [X1: $int] :
( ~ $less(X1,1)
& ~ $less(10,X1)
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) )
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
& ( ( ! [X2: $int] :
( $less(X2,1)
| $less(10,X2)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) )
& ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
| ~ inv1(X0) ) ),
inference(rectify,[],[f118]) ).
tff(f118,plain,
! [X0: map_int_int] :
( ( inv1(X0)
| ? [X1: $int] :
( ~ $less(X1,1)
& ~ $less(10,X1)
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) )
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
& ( ( ! [X1: $int] :
( $less(X1,1)
| $less(10,X1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) )
& ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
| ~ inv1(X0) ) ),
inference(flattening,[],[f117]) ).
tff(f117,plain,
! [X0: map_int_int] :
( ( inv1(X0)
| ? [X1: $int] :
( ~ $less(X1,1)
& ~ $less(10,X1)
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) )
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
& ( ( ! [X1: $int] :
( $less(X1,1)
| $less(10,X1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) )
& ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
| ~ inv1(X0) ) ),
inference(nnf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0: map_int_int] :
( inv1(X0)
<=> ( ! [X1: $int] :
( $less(X1,1)
| $less(10,X1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) )
& ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) ) ),
inference(flattening,[],[f92]) ).
tff(f92,plain,
! [X0: map_int_int] :
( ( ! [X1: $int] :
( $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1)))))
| $less(10,X1)
| $less(X1,1) )
& ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
<=> inv1(X0) ),
inference(ennf_transformation,[],[f61]) ).
tff(f61,plain,
! [X0: map_int_int] :
( ( ! [X1: $int] :
( ( ~ $less(10,X1)
& ~ $less(X1,1) )
=> $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) )
& ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) )
<=> inv1(X0) ),
inference(rectify,[],[f35]) ).
tff(f35,plain,
! [X16: map_int_int] :
( ( ! [X17: $int] :
( ( ~ $less(10,X17)
& ~ $less(X17,1) )
=> $less(0,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(a1,X17))))) )
& ( 0 = tb2t1(get(int,int,t2tb(X16),t2tb1(a1))) ) )
<=> inv1(X16) ),
inference(theory_normalization,[],[f28]) ).
tff(f28,axiom,
! [X16: map_int_int] :
( ( ! [X17: $int] :
( ( $lesseq(X17,10)
& $lesseq(1,X17) )
=> $less(0,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(a1,X17))))) )
& ( 0 = tb2t1(get(int,int,t2tb(X16),t2tb1(a1))) ) )
<=> inv1(X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inv_def) ).
tff(f141,plain,
inv1(sK0),
inference(cnf_transformation,[],[f113]) ).
tff(f132,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X10: uni] : ( t2tb1(tb2t1(X10)) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1) ).
tff(f415,plain,
( inv1(sK5)
| ( 0 != tb2t1(get(int,int,t2tb(sK0),t2tb1(a1))) )
| ( tb2t1(t2tb1(a1)) = $sum(-16,sK1) ) ),
inference(superposition,[],[f410,f203]) ).
tff(f203,plain,
! [X0: uni] :
( ( tb2t1(get(int,int,t2tb(sK5),X0)) = tb2t1(get(int,int,t2tb(sK0),X0)) )
| ( $sum(-16,sK1) = tb2t1(X0) ) ),
inference(superposition,[],[f179,f132]) ).
tff(f179,plain,
! [X0: $int] :
( ( tb2t1(get(int,int,t2tb(sK0),t2tb1(X0))) = tb2t1(get(int,int,t2tb(sK5),t2tb1(X0))) )
| ( $sum(-16,sK1) = X0 ) ),
inference(superposition,[],[f167,f173]) ).
tff(f167,plain,
! [X2: $int,X3: $int,X0: $int,X1: map_int_int] :
( ( tb2t1(get(int,int,t2tb(X1),t2tb1(X3))) = tb2t1(get(int,int,t2tb(set2(X1,X0,X2)),t2tb1(X3))) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f128]) ).
tff(f128,plain,
! [X0: $int,X1: map_int_int,X2: $int,X3: $int] :
( ( tb2t1(get(int,int,t2tb(X1),t2tb1(X3))) = tb2t1(get(int,int,t2tb(set2(X1,X0,X2)),t2tb1(X3))) )
| ( X0 = X3 ) ),
inference(rectify,[],[f84]) ).
tff(f84,plain,
! [X3: $int,X2: map_int_int,X1: $int,X0: $int] :
( ( tb2t1(get(int,int,t2tb(set2(X2,X3,X1)),t2tb1(X0))) = tb2t1(get(int,int,t2tb(X2),t2tb1(X0))) )
| ( X0 = X3 ) ),
inference(ennf_transformation,[],[f59]) ).
tff(f59,plain,
! [X2: map_int_int,X0: $int,X1: $int,X3: $int] :
( ( X0 != X3 )
=> ( tb2t1(get(int,int,t2tb(set2(X2,X3,X1)),t2tb1(X0))) = tb2t1(get(int,int,t2tb(X2),t2tb1(X0))) ) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X13: $int,X8: $int,X11: map_int_int,X12: $int] :
( ( X12 != X13 )
=> ( tb2t1(get(int,int,t2tb(set2(X11,X12,X8)),t2tb1(X13))) = tb2t1(get(int,int,t2tb(X11),t2tb1(X13))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_neq) ).
tff(f410,plain,
( ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| inv1(sK5) ),
inference(subsumption_resolution,[],[f409,f155]) ).
tff(f155,plain,
! [X0: map_int_int] :
( ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) )
| inv1(X0)
| ~ $less(sK6(X0),1) ),
inference(cnf_transformation,[],[f121]) ).
tff(f409,plain,
( inv1(sK5)
| ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| $less(sK6(sK5),1) ),
inference(subsumption_resolution,[],[f405,f154]) ).
tff(f154,plain,
! [X0: map_int_int] :
( ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) )
| ~ $less(10,sK6(X0))
| inv1(X0) ),
inference(cnf_transformation,[],[f121]) ).
tff(f405,plain,
( $less(sK6(sK5),1)
| inv1(sK5)
| $less(10,sK6(sK5))
| ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) ) ),
inference(resolution,[],[f400,f177]) ).
tff(f177,plain,
! [X0: $int] :
( $less(0,tb2t1(get(int,int,t2tb(sK0),t2tb1($sum(a1,X0)))))
| $less(10,X0)
| $less(X0,1) ),
inference(resolution,[],[f141,f152]) ).
tff(f152,plain,
! [X2: $int,X0: map_int_int] :
( ~ inv1(X0)
| $less(10,X2)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2)))))
| $less(X2,1) ),
inference(cnf_transformation,[],[f121]) ).
tff(f400,plain,
( ~ $less(0,tb2t1(get(int,int,t2tb(sK0),t2tb1($sum(a1,sK6(sK5))))))
| inv1(sK5)
| ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) ) ),
inference(subsumption_resolution,[],[f206,f193]) ).
tff(f193,plain,
( ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| ( $sum(-16,sK1) != $sum(a1,sK6(sK5)) )
| inv1(sK5) ),
inference(evaluation,[],[f188]) ).
tff(f188,plain,
( inv1(sK5)
| ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| ( $sum(-16,sK1) != $sum(a1,sK6(sK5)) )
| ~ $less(0,2) ),
inference(superposition,[],[f153,f180]) ).
tff(f153,plain,
! [X0: map_int_int] :
( ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK6(X0))))))
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) )
| inv1(X0) ),
inference(cnf_transformation,[],[f121]) ).
tff(f206,plain,
( ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| inv1(sK5)
| ~ $less(0,tb2t1(get(int,int,t2tb(sK0),t2tb1($sum(a1,sK6(sK5))))))
| ( $sum(-16,sK1) = $sum(a1,sK6(sK5)) ) ),
inference(superposition,[],[f153,f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW576=2 : TPTP v8.1.0. Released v6.1.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 21:01:49 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (23833)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)
% 0.21/0.51 % (23840)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.21/0.51 % (23834)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)
% 0.21/0.51 % (23849)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)
% 0.21/0.52 % (23841)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (23833)Refutation not found, incomplete strategy% (23833)------------------------------
% 0.21/0.52 % (23833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (23833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (23833)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (23833)Memory used [KB]: 5628
% 0.21/0.52 % (23833)Time elapsed: 0.112 s
% 0.21/0.52 % (23833)Instructions burned: 6 (million)
% 0.21/0.52 % (23833)------------------------------
% 0.21/0.52 % (23833)------------------------------
% 0.21/0.53 % (23848)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (23839)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.21/0.53 % (23848)Instruction limit reached!
% 0.21/0.53 % (23848)------------------------------
% 0.21/0.53 % (23848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23848)Termination reason: Unknown
% 0.21/0.53 % (23848)Termination phase: shuffling
% 0.21/0.53
% 0.21/0.53 % (23848)Memory used [KB]: 1023
% 0.21/0.53 % (23848)Time elapsed: 0.003 s
% 0.21/0.53 % (23848)Instructions burned: 2 (million)
% 0.21/0.53 % (23848)------------------------------
% 0.21/0.53 % (23848)------------------------------
% 0.21/0.53 % (23835)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)
% 0.21/0.53 % (23844)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (23835)Instruction limit reached!
% 0.21/0.53 % (23835)------------------------------
% 0.21/0.53 % (23835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23835)Termination reason: Unknown
% 0.21/0.53 % (23835)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (23835)Memory used [KB]: 1023
% 0.21/0.53 % (23835)Time elapsed: 0.003 s
% 0.21/0.53 % (23835)Instructions burned: 4 (million)
% 0.21/0.53 % (23835)------------------------------
% 0.21/0.53 % (23835)------------------------------
% 0.21/0.53 % (23844)Instruction limit reached!
% 0.21/0.53 % (23844)------------------------------
% 0.21/0.53 % (23844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23844)Termination reason: Unknown
% 0.21/0.53 % (23844)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (23844)Memory used [KB]: 1023
% 0.21/0.53 % (23844)Time elapsed: 0.003 s
% 0.21/0.53 % (23844)Instructions burned: 3 (million)
% 0.21/0.53 % (23844)------------------------------
% 0.21/0.53 % (23844)------------------------------
% 0.21/0.53 % (23860)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)
% 0.21/0.53 % (23837)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)
% 1.41/0.54 % (23858)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.41/0.54 % (23859)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.41/0.54 % (23846)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)
% 1.41/0.54 % (23836)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)
% 1.41/0.54 % (23850)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)
% 1.41/0.54 % (23847)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)
% 1.41/0.54 % (23840)Instruction limit reached!
% 1.41/0.54 % (23840)------------------------------
% 1.41/0.54 % (23840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23841)Instruction limit reached!
% 1.41/0.54 % (23841)------------------------------
% 1.41/0.54 % (23841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23834)Instruction limit reached!
% 1.41/0.54 % (23834)------------------------------
% 1.41/0.54 % (23834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23834)Termination reason: Unknown
% 1.41/0.54 % (23834)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (23834)Memory used [KB]: 5628
% 1.41/0.54 % (23834)Time elapsed: 0.128 s
% 1.41/0.54 % (23834)Instructions burned: 8 (million)
% 1.41/0.54 % (23832)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)
% 1.41/0.54 % (23834)------------------------------
% 1.41/0.54 % (23834)------------------------------
% 1.41/0.54 % (23840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23841)Termination reason: Unknown
% 1.41/0.54 % (23841)Termination phase: Preprocessing 3
% 1.41/0.54
% 1.41/0.54 % (23841)Memory used [KB]: 1023
% 1.41/0.54 % (23841)Time elapsed: 0.003 s
% 1.41/0.54 % (23841)Instructions burned: 3 (million)
% 1.41/0.54 % (23841)------------------------------
% 1.41/0.54 % (23841)------------------------------
% 1.41/0.54 % (23861)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)
% 1.41/0.54 % (23845)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.41/0.54 % (23838)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)
% 1.41/0.54 % (23852)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)
% 1.41/0.55 % (23851)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)
% 1.41/0.55 % (23851)Instruction limit reached!
% 1.41/0.55 % (23851)------------------------------
% 1.41/0.55 % (23851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23851)Termination reason: Unknown
% 1.41/0.55 % (23851)Termination phase: Property scanning
% 1.41/0.55
% 1.41/0.55 % (23854)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)
% 1.41/0.55 % (23851)Memory used [KB]: 895
% 1.41/0.55 % (23851)Time elapsed: 0.002 s
% 1.41/0.55 % (23851)Instructions burned: 2 (million)
% 1.41/0.55 % (23851)------------------------------
% 1.41/0.55 % (23851)------------------------------
% 1.41/0.55 % (23855)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)
% 1.41/0.55 % (23840)Termination reason: Unknown
% 1.41/0.55 % (23840)Termination phase: Saturation
% 1.41/0.55
% 1.41/0.55 % (23840)Memory used [KB]: 6012
% 1.41/0.55 % (23840)Time elapsed: 0.125 s
% 1.41/0.55 % (23840)Instructions burned: 26 (million)
% 1.41/0.55 % (23840)------------------------------
% 1.41/0.55 % (23840)------------------------------
% 1.41/0.55 % (23843)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)
% 1.41/0.55 % (23842)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.41/0.55 % (23843)Instruction limit reached!
% 1.41/0.55 % (23843)------------------------------
% 1.41/0.55 % (23843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23843)Termination reason: Unknown
% 1.41/0.55 % (23843)Termination phase: Saturation
% 1.41/0.55
% 1.41/0.55 % (23843)Memory used [KB]: 1023
% 1.41/0.55 % (23843)Time elapsed: 0.004 s
% 1.41/0.55 % (23843)Instructions burned: 6 (million)
% 1.41/0.55 % (23843)------------------------------
% 1.41/0.55 % (23843)------------------------------
% 1.41/0.55 % (23856)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)
% 1.41/0.55 % (23857)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)
% 1.57/0.56 % (23853)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)
% 1.57/0.56 % (23847)Instruction limit reached!
% 1.57/0.56 % (23847)------------------------------
% 1.57/0.56 % (23847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (23847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (23847)Termination reason: Unknown
% 1.57/0.56 % (23847)Termination phase: Property scanning
% 1.57/0.56
% 1.57/0.56 % (23847)Memory used [KB]: 895
% 1.57/0.56 % (23847)Time elapsed: 0.002 s
% 1.57/0.56 % (23847)Instructions burned: 2 (million)
% 1.57/0.56 % (23847)------------------------------
% 1.57/0.56 % (23847)------------------------------
% 1.57/0.56 % (23837)Instruction limit reached!
% 1.57/0.56 % (23837)------------------------------
% 1.57/0.56 % (23837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (23837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (23837)Termination reason: Unknown
% 1.57/0.56 % (23837)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (23837)Memory used [KB]: 5756
% 1.57/0.56 % (23837)Time elapsed: 0.155 s
% 1.57/0.56 % (23837)Instructions burned: 17 (million)
% 1.57/0.56 % (23837)------------------------------
% 1.57/0.56 % (23837)------------------------------
% 1.57/0.56 % (23860)Instruction limit reached!
% 1.57/0.56 % (23860)------------------------------
% 1.57/0.56 % (23860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (23860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (23860)Termination reason: Unknown
% 1.57/0.56 % (23860)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (23860)Memory used [KB]: 5756
% 1.57/0.56 % (23860)Time elapsed: 0.161 s
% 1.57/0.56 % (23860)Instructions burned: 21 (million)
% 1.57/0.56 % (23860)------------------------------
% 1.57/0.56 % (23860)------------------------------
% 1.57/0.57 % (23850)Instruction limit reached!
% 1.57/0.57 % (23850)------------------------------
% 1.57/0.57 % (23850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (23850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (23850)Termination reason: Unknown
% 1.57/0.57 % (23850)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (23850)Memory used [KB]: 5756
% 1.57/0.57 % (23850)Time elapsed: 0.146 s
% 1.57/0.57 % (23850)Instructions burned: 15 (million)
% 1.57/0.57 % (23850)------------------------------
% 1.57/0.57 % (23850)------------------------------
% 1.57/0.57 % (23852)Instruction limit reached!
% 1.57/0.57 % (23852)------------------------------
% 1.57/0.57 % (23852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (23852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (23852)Termination reason: Unknown
% 1.57/0.57 % (23852)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (23852)Memory used [KB]: 1279
% 1.57/0.57 % (23852)Time elapsed: 0.144 s
% 1.57/0.57 % (23852)Instructions burned: 16 (million)
% 1.57/0.57 % (23852)------------------------------
% 1.57/0.57 % (23852)------------------------------
% 1.57/0.58 % (23853)Instruction limit reached!
% 1.57/0.58 % (23853)------------------------------
% 1.57/0.58 % (23853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (23853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (23853)Termination reason: Unknown
% 1.57/0.58 % (23853)Termination phase: Saturation
% 1.57/0.58
% 1.57/0.58 % (23853)Memory used [KB]: 5756
% 1.57/0.58 % (23853)Time elapsed: 0.183 s
% 1.57/0.58 % (23853)Instructions burned: 22 (million)
% 1.57/0.58 % (23853)------------------------------
% 1.57/0.58 % (23853)------------------------------
% 1.57/0.58 % (23859)Instruction limit reached!
% 1.57/0.58 % (23859)------------------------------
% 1.57/0.58 % (23859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (23859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (23859)Termination reason: Unknown
% 1.57/0.58 % (23859)Termination phase: Saturation
% 1.57/0.58
% 1.57/0.58 % (23859)Memory used [KB]: 5756
% 1.57/0.58 % (23859)Time elapsed: 0.180 s
% 1.57/0.58 % (23859)Instructions burned: 21 (million)
% 1.57/0.58 % (23859)------------------------------
% 1.57/0.58 % (23859)------------------------------
% 1.57/0.59 % (23836)Instruction limit reached!
% 1.57/0.59 % (23836)------------------------------
% 1.57/0.59 % (23836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (23836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (23836)Termination reason: Unknown
% 1.57/0.59 % (23836)Termination phase: Saturation
% 1.57/0.59
% 1.57/0.59 % (23836)Memory used [KB]: 6140
% 1.57/0.59 % (23836)Time elapsed: 0.180 s
% 1.57/0.59 % (23836)Instructions burned: 38 (million)
% 1.57/0.59 % (23836)------------------------------
% 1.57/0.59 % (23836)------------------------------
% 1.57/0.59 % (23845)Instruction limit reached!
% 1.57/0.59 % (23845)------------------------------
% 1.57/0.59 % (23845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (23845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (23845)Termination reason: Unknown
% 1.57/0.59 % (23845)Termination phase: Saturation
% 1.57/0.59
% 1.57/0.59 % (23845)Memory used [KB]: 5756
% 1.57/0.59 % (23845)Time elapsed: 0.189 s
% 1.57/0.59 % (23845)Instructions burned: 21 (million)
% 1.57/0.59 % (23845)------------------------------
% 1.57/0.59 % (23845)------------------------------
% 1.57/0.59 % (23838)Instruction limit reached!
% 1.57/0.59 % (23838)------------------------------
% 1.57/0.59 % (23838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (23838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (23838)Termination reason: Unknown
% 1.57/0.59 % (23838)Termination phase: Saturation
% 1.57/0.59
% 1.57/0.59 % (23838)Memory used [KB]: 6012
% 1.57/0.59 % (23838)Time elapsed: 0.143 s
% 1.57/0.59 % (23838)Instructions burned: 32 (million)
% 1.57/0.59 % (23838)------------------------------
% 1.57/0.59 % (23838)------------------------------
% 1.57/0.60 % (23854)First to succeed.
% 1.57/0.60 % (23839)Instruction limit reached!
% 1.57/0.60 % (23839)------------------------------
% 1.57/0.60 % (23839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60 % (23839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60 % (23839)Termination reason: Unknown
% 1.57/0.60 % (23839)Termination phase: Saturation
% 1.57/0.60
% 1.57/0.60 % (23839)Memory used [KB]: 6012
% 1.57/0.60 % (23839)Time elapsed: 0.174 s
% 1.57/0.60 % (23839)Instructions burned: 37 (million)
% 1.57/0.60 % (23839)------------------------------
% 1.57/0.60 % (23839)------------------------------
% 1.57/0.60 % (23849)Instruction limit reached!
% 1.57/0.60 % (23849)------------------------------
% 1.57/0.60 % (23849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60 % (23849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60 % (23849)Termination reason: Unknown
% 1.57/0.60 % (23849)Termination phase: Saturation
% 1.57/0.60
% 1.57/0.60 % (23849)Memory used [KB]: 6268
% 1.57/0.60 % (23849)Time elapsed: 0.180 s
% 1.57/0.60 % (23849)Instructions burned: 51 (million)
% 1.57/0.60 % (23849)------------------------------
% 1.57/0.60 % (23849)------------------------------
% 1.57/0.60 % (23842)Instruction limit reached!
% 1.57/0.60 % (23842)------------------------------
% 1.57/0.60 % (23842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60 % (23842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60 % (23842)Termination reason: Unknown
% 1.57/0.60 % (23842)Termination phase: Saturation
% 1.57/0.60
% 1.57/0.60 % (23842)Memory used [KB]: 6012
% 1.57/0.60 % (23842)Time elapsed: 0.196 s
% 1.57/0.60 % (23842)Instructions burned: 35 (million)
% 1.57/0.60 % (23842)------------------------------
% 1.57/0.60 % (23842)------------------------------
% 1.57/0.60 % (23857)Instruction limit reached!
% 1.57/0.60 % (23857)------------------------------
% 1.57/0.60 % (23857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60 % (23857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60 % (23857)Termination reason: Unknown
% 1.57/0.60 % (23857)Termination phase: Saturation
% 1.57/0.60
% 1.57/0.60 % (23857)Memory used [KB]: 6140
% 1.57/0.60 % (23857)Time elapsed: 0.188 s
% 1.57/0.60 % (23857)Instructions burned: 42 (million)
% 1.57/0.60 % (23857)------------------------------
% 1.57/0.60 % (23857)------------------------------
% 1.57/0.61 % (23858)Instruction limit reached!
% 1.57/0.61 % (23858)------------------------------
% 1.57/0.61 % (23858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61 % (23858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.61 % (23858)Termination reason: Unknown
% 1.57/0.61 % (23858)Termination phase: Saturation
% 1.57/0.61
% 1.57/0.61 % (23858)Memory used [KB]: 6268
% 1.57/0.61 % (23858)Time elapsed: 0.190 s
% 1.57/0.61 % (23858)Instructions burned: 43 (million)
% 1.57/0.61 % (23858)------------------------------
% 1.57/0.61 % (23858)------------------------------
% 1.57/0.62 % (23861)Instruction limit reached!
% 1.57/0.62 % (23861)------------------------------
% 1.57/0.62 % (23861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.62 % (23861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.62 % (23861)Termination reason: Unknown
% 1.57/0.62 % (23861)Termination phase: Saturation
% 1.57/0.62
% 1.57/0.62 % (23861)Memory used [KB]: 6396
% 1.57/0.62 % (23861)Time elapsed: 0.210 s
% 1.57/0.62 % (23861)Instructions burned: 41 (million)
% 1.57/0.62 % (23861)------------------------------
% 1.57/0.62 % (23861)------------------------------
% 1.57/0.62 % (23854)Refutation found. Thanks to Tanya!
% 1.57/0.62 % SZS status Theorem for theBenchmark
% 1.57/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.62 % (23854)------------------------------
% 1.57/0.62 % (23854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.62 % (23854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.62 % (23854)Termination reason: Refutation
% 1.57/0.62
% 1.57/0.62 % (23854)Memory used [KB]: 1407
% 1.57/0.62 % (23854)Time elapsed: 0.180 s
% 1.57/0.62 % (23854)Instructions burned: 35 (million)
% 1.57/0.62 % (23854)------------------------------
% 1.57/0.62 % (23854)------------------------------
% 1.57/0.62 % (23828)Success in time 0.267 s
%------------------------------------------------------------------------------