%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW576_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:50 PM UTC 2026
% Result : Theorem 13.22s 3.03s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 123 ( 19 unt; 0 typ; 15 def)
% Number of atoms : 383 ( 110 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 387 ( 127 ~; 152 |; 61 &)
% ( 24 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 571 ( 93 atm; 149 fun; 232 num; 97 var)
% Number of types : 7 ( 5 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 19 usr; 16 prp; 0-3 aty)
% Number of functors : 46 ( 33 usr; 28 con; 0-5 aty)
% Number of variables : 145 ( 124 !; 21 ?; 145 :)
% 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 > $int ).
tff(func_def_45,type,
'$inst8': $int ).
tff(func_def_46,type,
'$inst9': $int ).
tff(func_def_47,type,
'$inst10': $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(f15,axiom,
! [X0: $int] : ( tb2t1(t2tb1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL1) ).
tff(f16,axiom,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1) ).
tff(f17,axiom,
! [X0: map_int_int,X3: $int,X2: $int,X1: $int] :
( ( X1 = X2 )
=> ( tb2t1(get(int,int,t2tb(set2(X0,X1,X3)),t2tb1(X2))) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_eq) ).
tff(f19,axiom,
! [X1: $int,X3: $int,X0: map_int_int,X2: $int] :
( ( X1 != X2 )
=> ( tb2t1(get(int,int,t2tb(set2(X0,X1,X3)),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_neq) ).
tff(f27,axiom,
! [X0: $int] :
( separation1(X0)
<=> $less($sum(a1,10),$difference(X0,24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',separation_def) ).
tff(f28,axiom,
! [X0: map_int_int] :
( inv1(X0)
<=> ( ( tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) = 0 )
& ! [X1: $int] :
( ( $lesseq(1,X1)
& $lesseq(X1,10) )
=> $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inv_def) ).
tff(f29,axiom,
! [X1: $int,X0: map_int_int,X2: $int] :
( inv_l21(X0,X1,X2)
<=> ( ( X2 = $difference(tb2t1(get(int,int,t2tb(X0),t2tb1($difference(X1,16)))),2) )
& $lesseq(2,tb2t1(get(int,int,t2tb(X0),t2tb1($difference(X1,16)))))
& $lesseq(tb2t1(get(int,int,t2tb(X0),t2tb1($difference(X1,16)))),11)
& inv1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inv_l2_def) ).
tff(f30,conjecture,
! [X0: $int,X1: map_int_int] :
( ( separation1(X0)
& inv1(X1) )
=> ! [X2: $int] :
( ( X2 = 0 )
=> ! [X3: $int] :
( ( X3 = 0 )
=> ! [X4: $int] :
( ( X4 = 2 )
=> ! [X5: map_int_int] :
( ( X5 = set2(X1,$difference(X0,16),X4) )
=> inv_l21(X5,X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_path_init_l2) ).
tff(f31,negated_conjecture,
~ ! [X0: $int,X1: map_int_int] :
( ( separation1(X0)
& inv1(X1) )
=> ! [X2: $int] :
( ( X2 = 0 )
=> ! [X3: $int] :
( ( X3 = 0 )
=> ! [X4: $int] :
( ( X4 = 2 )
=> ! [X5: map_int_int] :
( ( X5 = set2(X1,$difference(X0,16),X4) )
=> inv_l21(X5,X0,X2) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
tff(f32,plain,
! [X0: map_int_int] :
( inv1(X0)
<=> ( ( tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) = 0 )
& ! [X1: $int] :
( ( ~ $less(10,X1)
& ~ $less(X1,1) )
=> $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) ) ) ),
inference(theory_normalization,[],[f28]) ).
tff(f33,plain,
! [X0: $int] :
( $less($sum(a1,10),$sum(X0,$uminus(24)))
<=> separation1(X0) ),
inference(theory_normalization,[],[f27]) ).
tff(f35,plain,
! [X1: $int,X0: map_int_int,X2: $int] :
( inv_l21(X0,X1,X2)
<=> ( ( $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) = 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) ) ),
inference(theory_normalization,[],[f29]) ).
tff(f36,plain,
~ ! [X0: $int,X1: map_int_int] :
( ( separation1(X0)
& inv1(X1) )
=> ! [X2: $int] :
( ( X2 = 0 )
=> ! [X3: $int] :
( ( X3 = 0 )
=> ! [X4: $int] :
( ( X4 = 2 )
=> ! [X5: map_int_int] :
( ( set2(X1,$sum(X0,$uminus(16)),X4) = X5 )
=> inv_l21(X5,X0,X2) ) ) ) ) ),
inference(theory_normalization,[],[f31]) ).
tff(f42,plain,
! [X0: $int,X2: $int,X1: map_int_int] :
( inv_l21(X1,X0,X2)
<=> ( inv1(X1)
& ~ $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),2)
& ( $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) = X2 )
& ~ $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16)))))) ) ),
inference(rectify,[],[f35]) ).
tff(f43,plain,
! [X3: $int,X0: map_int_int,X2: $int,X1: $int] :
( ( X2 = X3 )
=> ( tb2t1(get(int,int,t2tb(set2(X0,X3,X1)),t2tb1(X2))) = X1 ) ),
inference(rectify,[],[f17]) ).
tff(f45,plain,
! [X0: $int,X3: $int,X1: $int,X2: map_int_int] :
( ( X0 != X3 )
=> ( tb2t1(get(int,int,t2tb(set2(X2,X0,X1)),t2tb1(X3))) = tb2t1(get(int,int,t2tb(X2),t2tb1(X3))) ) ),
inference(rectify,[],[f19]) ).
tff(f48,plain,
! [X0: $int,X2: $int,X1: map_int_int] :
( ( inv1(X1)
& ~ $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),2)
& ( $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) = X2 )
& ~ $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16)))))) )
=> inv_l21(X1,X0,X2) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
tff(f49,plain,
! [X0: $int] :
( separation1(X0)
=> $less($sum(a1,10),$sum(X0,$uminus(24))) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
tff(f50,plain,
! [X3: $int,X1: $int,X2: $int,X0: map_int_int] :
( ( X2 != X3 )
| ( tb2t1(get(int,int,t2tb(set2(X0,X3,X1)),t2tb1(X2))) = X1 ) ),
inference(ennf_transformation,[],[f43]) ).
tff(f51,plain,
! [X0: map_int_int] :
( inv1(X0)
<=> ( ( tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) = 0 )
& ! [X1: $int] :
( $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1)))))
| $less(10,X1)
| $less(X1,1) ) ) ),
inference(ennf_transformation,[],[f32]) ).
tff(f52,plain,
! [X0: map_int_int] :
( inv1(X0)
<=> ( ( tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) = 0 )
& ! [X1: $int] :
( $less(10,X1)
| $less(X1,1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) ) ) ),
inference(flattening,[],[f51]) ).
tff(f58,plain,
? [X0: $int,X1: map_int_int] :
( ? [X2: $int] :
( ( X2 = 0 )
& ? [X3: $int] :
( ( X3 = 0 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,X0,X2)
& ( set2(X1,$sum(X0,$uminus(16)),X4) = X5 ) )
& ( X4 = 2 ) ) ) )
& separation1(X0)
& inv1(X1) ),
inference(ennf_transformation,[],[f36]) ).
tff(f59,plain,
? [X1: map_int_int,X0: $int] :
( ? [X2: $int] :
( ( X2 = 0 )
& ? [X3: $int] :
( ( X3 = 0 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,X0,X2)
& ( set2(X1,$sum(X0,$uminus(16)),X4) = X5 ) )
& ( X4 = 2 ) ) ) )
& separation1(X0)
& inv1(X1) ),
inference(flattening,[],[f58]) ).
tff(f60,plain,
! [X0: $int] :
( $less($sum(a1,10),$sum(X0,$uminus(24)))
| ~ separation1(X0) ),
inference(ennf_transformation,[],[f49]) ).
tff(f61,plain,
! [X0: $int,X2: $int,X1: map_int_int] :
( inv_l21(X1,X0,X2)
| ~ inv1(X1)
| $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),2)
| ( $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) != X2 )
| $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16)))))) ),
inference(ennf_transformation,[],[f48]) ).
tff(f62,plain,
! [X2: $int,X1: map_int_int,X0: $int] :
( $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),2)
| ~ inv1(X1)
| $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))))
| inv_l21(X1,X0,X2)
| ( $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) != X2 ) ),
inference(flattening,[],[f61]) ).
tff(f63,plain,
! [X1: $int,X3: $int,X2: map_int_int,X0: $int] :
( ( tb2t1(get(int,int,t2tb(set2(X2,X0,X1)),t2tb1(X3))) = tb2t1(get(int,int,t2tb(X2),t2tb1(X3))) )
| ( X0 = X3 ) ),
inference(ennf_transformation,[],[f45]) ).
tff(f72,plain,
? [X0: map_int_int,X1: $int] :
( ? [X2: $int] :
( ( X2 = 0 )
& ? [X3: $int] :
( ( X3 = 0 )
& ? [X4: $int] :
( ? [X5: map_int_int] :
( ~ inv_l21(X5,X1,X2)
& ( set2(X0,$sum(X1,$uminus(16)),X4) = X5 ) )
& ( X4 = 2 ) ) ) )
& separation1(X1)
& inv1(X0) ),
inference(rectify,[],[f59]) ).
tff(f73,plain,
( ( 0 = sK2 )
& ( 0 = sK3 )
& ~ inv_l21(sK5,sK1,sK2)
& ( set2(sK0,$sum(sK1,$uminus(16)),sK4) = sK5 )
& ( 2 = sK4 )
& separation1(sK1)
& inv1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f72]) ).
tff(f77,plain,
! [X0: $int,X1: $int,X2: $int,X3: map_int_int] :
( ( X0 != X2 )
| ( tb2t1(get(int,int,t2tb(set2(X3,X0,X1)),t2tb1(X2))) = X1 ) ),
inference(rectify,[],[f50]) ).
tff(f79,plain,
! [X0: $int,X1: $int,X2: map_int_int,X3: $int] :
( ( tb2t1(get(int,int,t2tb(set2(X2,X3,X0)),t2tb1(X1))) = tb2t1(get(int,int,t2tb(X2),t2tb1(X1))) )
| ( X1 = X3 ) ),
inference(rectify,[],[f63]) ).
tff(f80,plain,
! [X0: $int,X1: map_int_int,X2: $int] :
( $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),2)
| ~ inv1(X1)
| $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))))
| inv_l21(X1,X2,X0)
| ( $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),$uminus(2)) != X0 ) ),
inference(rectify,[],[f62]) ).
tff(f82,plain,
! [X0: map_int_int] :
( ( inv1(X0)
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) )
| ? [X1: $int] :
( ~ $less(10,X1)
& ~ $less(X1,1)
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) ) )
& ( ( ( tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) = 0 )
& ! [X1: $int] :
( $less(10,X1)
| $less(X1,1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) ) )
| ~ inv1(X0) ) ),
inference(nnf_transformation,[],[f52]) ).
tff(f83,plain,
! [X0: map_int_int] :
( ( inv1(X0)
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) )
| ? [X1: $int] :
( ~ $less(10,X1)
& ~ $less(X1,1)
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) ) )
& ( ( ( tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) = 0 )
& ! [X1: $int] :
( $less(10,X1)
| $less(X1,1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) ) )
| ~ inv1(X0) ) ),
inference(flattening,[],[f82]) ).
tff(f84,plain,
! [X0: map_int_int] :
( ( inv1(X0)
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) )
| ? [X1: $int] :
( ~ $less(10,X1)
& ~ $less(X1,1)
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) ) )
& ( ( ( tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) = 0 )
& ! [X2: $int] :
( $less(10,X2)
| $less(X2,1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) ) )
| ~ inv1(X0) ) ),
inference(rectify,[],[f83]) ).
tff(f85,plain,
! [X0: map_int_int] :
( ( inv1(X0)
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) )
| ( ~ $less(10,sK6(X0))
& ~ $less(sK6(X0),1)
& ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK6(X0)))))) ) )
& ( ( ( tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) = 0 )
& ! [X2: $int] :
( $less(10,X2)
| $less(X2,1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) ) )
| ~ inv1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f84]) ).
tff(f95,plain,
inv1(sK0),
inference(cnf_transformation,[],[f73]) ).
tff(f96,plain,
separation1(sK1),
inference(cnf_transformation,[],[f73]) ).
tff(f97,plain,
2 = sK4,
inference(cnf_transformation,[],[f73]) ).
tff(f98,plain,
set2(sK0,$sum(sK1,$uminus(16)),sK4) = sK5,
inference(cnf_transformation,[],[f73]) ).
tff(f99,plain,
~ inv_l21(sK5,sK1,sK2),
inference(cnf_transformation,[],[f73]) ).
tff(f101,plain,
0 = sK2,
inference(cnf_transformation,[],[f73]) ).
tff(f108,plain,
! [X2: $int,X3: map_int_int,X0: $int,X1: $int] :
( ( X0 != X2 )
| ( tb2t1(get(int,int,t2tb(set2(X3,X0,X1)),t2tb1(X2))) = X1 ) ),
inference(cnf_transformation,[],[f77]) ).
tff(f113,plain,
! [X0: $int] :
( $less($sum(a1,10),$sum(X0,$uminus(24)))
| ~ separation1(X0) ),
inference(cnf_transformation,[],[f60]) ).
tff(f114,plain,
! [X2: map_int_int,X3: $int,X0: $int,X1: $int] :
( ( tb2t1(get(int,int,t2tb(set2(X2,X3,X0)),t2tb1(X1))) = tb2t1(get(int,int,t2tb(X2),t2tb1(X1))) )
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f79]) ).
tff(f115,plain,
! [X2: $int,X0: $int,X1: map_int_int] :
( $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),2)
| ~ inv1(X1)
| $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))))
| inv_l21(X1,X2,X0)
| ( $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),$uminus(2)) != X0 ) ),
inference(cnf_transformation,[],[f80]) ).
tff(f116,plain,
! [X0: $int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(cnf_transformation,[],[f15]) ).
tff(f119,plain,
! [X2: $int,X0: map_int_int] :
( ~ inv1(X0)
| $less(10,X2)
| $less(X2,1)
| $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) ),
inference(cnf_transformation,[],[f85]) ).
tff(f120,plain,
! [X0: map_int_int] :
( ~ inv1(X0)
| ( 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) ),
inference(cnf_transformation,[],[f85]) ).
tff(f121,plain,
! [X0: map_int_int] :
( inv1(X0)
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) )
| ~ $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK6(X0)))))) ),
inference(cnf_transformation,[],[f85]) ).
tff(f122,plain,
! [X0: map_int_int] :
( inv1(X0)
| ~ $less(sK6(X0),1)
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) ),
inference(cnf_transformation,[],[f85]) ).
tff(f123,plain,
! [X0: map_int_int] :
( inv1(X0)
| ~ $less(10,sK6(X0))
| ( 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) ) ),
inference(cnf_transformation,[],[f85]) ).
tff(f124,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f131,plain,
~ inv_l21(sK5,sK1,0),
inference(definition_unfolding,[],[f99,f101]) ).
tff(f132,plain,
set2(sK0,$sum(sK1,$uminus(16)),2) = sK5,
inference(definition_unfolding,[],[f98,f97]) ).
tff(f134,plain,
! [X2: $int,X3: map_int_int,X1: $int] : ( tb2t1(get(int,int,t2tb(set2(X3,X2,X1)),t2tb1(X2))) = X1 ),
inference(equality_resolution,[],[f108]) ).
tff(f135,plain,
! [X2: $int,X1: map_int_int] :
( inv_l21(X1,X2,$sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),$uminus(2)))
| $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),2)
| ~ inv1(X1)
| $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16)))))) ),
inference(equality_resolution,[],[f115]) ).
tff(f136,plain,
! [X0: $int] :
( ~ separation1(X0)
| $less($sum(a1,10),$sum(X0,-24)) ),
inference(evaluation,[],[f113]) ).
tff(f137,plain,
! [X2: $int,X1: map_int_int] :
( inv_l21(X1,X2,$sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,-16)))),-2))
| $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,-16)))))
| ~ inv1(X1)
| $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,-16)))),2) ),
inference(evaluation,[],[f135]) ).
tff(f138,plain,
sK5 = set2(sK0,$sum(sK1,-16),2),
inference(evaluation,[],[f132]) ).
tff(f140,definition,
( spl7_1
<=> ( sK5 = set2(sK0,$sum(sK1,-16),2) ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
tff(f142,plain,
( ( sK5 = set2(sK0,$sum(sK1,-16),2) )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f140]) ).
tff(f143,plain,
spl7_1,
inference(avatar_split_clause,[],[f138,f140]) ).
tff(f145,definition,
( spl7_2
<=> separation1(sK1) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
tff(f147,plain,
( separation1(sK1)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f148,plain,
spl7_2,
inference(avatar_split_clause,[],[f96,f145]) ).
tff(f150,definition,
( spl7_3
<=> inv1(sK0) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
tff(f152,plain,
( inv1(sK0)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f150]) ).
tff(f153,plain,
spl7_3,
inference(avatar_split_clause,[],[f95,f150]) ).
tff(f160,definition,
( spl7_5
<=> inv_l21(sK5,sK1,0) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
tff(f162,plain,
( ~ inv_l21(sK5,sK1,0)
| spl7_5 ),
inference(avatar_component_clause,[],[f160]) ).
tff(f163,plain,
~ spl7_5,
inference(avatar_split_clause,[],[f131,f160]) ).
tff(f172,plain,
( $less($sum(a1,10),$sum(sK1,-24))
| ~ spl7_2 ),
inference(resolution,[],[f136,f147]) ).
tff(f174,definition,
( spl7_6
<=> $less($sum(a1,10),$sum(sK1,-24)) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
tff(f177,plain,
( spl7_6
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f172,f145,f174]) ).
tff(f254,plain,
( ( 0 = tb2t1(get(int,int,t2tb(sK0),t2tb1(a1))) )
| ~ spl7_3 ),
inference(resolution,[],[f120,f152]) ).
tff(f256,definition,
( spl7_7
<=> ( 0 = tb2t1(get(int,int,t2tb(sK0),t2tb1(a1))) ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
tff(f258,plain,
( ( 0 = tb2t1(get(int,int,t2tb(sK0),t2tb1(a1))) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f256]) ).
tff(f259,plain,
( spl7_7
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f254,f150,f256]) ).
tff(f260,plain,
( ( get(int,int,t2tb(sK0),t2tb1(a1)) = t2tb1(0) )
| ~ spl7_7 ),
inference(superposition,[],[f124,f258]) ).
tff(f262,definition,
( spl7_8
<=> ( get(int,int,t2tb(sK0),t2tb1(a1)) = t2tb1(0) ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
tff(f264,plain,
( ( get(int,int,t2tb(sK0),t2tb1(a1)) = t2tb1(0) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f262]) ).
tff(f265,plain,
( spl7_8
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f260,f256,f262]) ).
tff(f280,plain,
( ( 2 = tb2t1(get(int,int,t2tb(sK5),t2tb1($sum(sK1,-16)))) )
| ~ spl7_1 ),
inference(superposition,[],[f134,f142]) ).
tff(f284,definition,
( spl7_9
<=> ( 2 = tb2t1(get(int,int,t2tb(sK5),t2tb1($sum(sK1,-16)))) ) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
tff(f286,plain,
( ( 2 = tb2t1(get(int,int,t2tb(sK5),t2tb1($sum(sK1,-16)))) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f284]) ).
tff(f287,plain,
( spl7_9
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f280,f140,f284]) ).
tff(f321,plain,
( ! [X0: $int] :
( $less(0,tb2t1(get(int,int,t2tb(sK0),t2tb1($sum(a1,X0)))))
| $less(10,X0)
| $less(X0,1) )
| ~ spl7_3 ),
inference(resolution,[],[f119,f152]) ).
tff(f333,plain,
( ! [X0: $int] :
( ( tb2t1(get(int,int,t2tb(sK5),t2tb1(X0))) = tb2t1(get(int,int,t2tb(sK0),t2tb1(X0))) )
| ( $sum(sK1,-16) = X0 ) )
| ~ spl7_1 ),
inference(superposition,[],[f114,f142]) ).
tff(f353,plain,
( ( tb2t1(t2tb1(0)) = tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| ( a1 = $sum(sK1,-16) )
| ~ spl7_1
| ~ spl7_8 ),
inference(superposition,[],[f333,f264]) ).
tff(f356,plain,
( ! [X0: $int] :
( $less(0,tb2t1(get(int,int,t2tb(sK5),t2tb1($sum(a1,X0)))))
| $less(X0,1)
| $less(10,X0)
| ( $sum(a1,X0) = $sum(sK1,-16) ) )
| ~ spl7_1
| ~ spl7_3 ),
inference(superposition,[],[f321,f333]) ).
tff(f370,definition,
( spl7_14
<=> ( 0 = tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) ) ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
tff(f372,plain,
( ( 0 = tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f370]) ).
tff(f374,definition,
( spl7_15
<=> ( a1 = $sum(sK1,-16) ) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
tff(f379,plain,
( ( 0 = tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| ( a1 = $sum(sK1,-16) )
| ~ spl7_1
| ~ spl7_8 ),
inference(forward_demodulation,[],[f353,f116]) ).
tff(f380,plain,
( spl7_15
| spl7_14
| ~ spl7_1
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f379,f262,f140,f370,f374]) ).
tff(f394,plain,
( $less(2,2)
| ~ inv1(sK5)
| $less(11,2)
| inv_l21(sK5,sK1,$sum(2,-2))
| ~ spl7_9 ),
inference(superposition,[],[f137,f286]) ).
tff(f395,plain,
( inv_l21(sK5,sK1,0)
| ~ inv1(sK5)
| ~ spl7_9 ),
inference(evaluation,[],[f394]) ).
tff(f396,plain,
( ~ inv1(sK5)
| spl7_5
| ~ spl7_9 ),
inference(forward_subsumption_resolution,[],[f395,f162]) ).
tff(f401,definition,
( spl7_17
<=> inv1(sK5) ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
tff(f403,plain,
( ~ inv1(sK5)
| spl7_17 ),
inference(avatar_component_clause,[],[f401]) ).
tff(f404,plain,
( ~ spl7_17
| spl7_5
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f396,f284,f160,f401]) ).
tff(f411,plain,
( ~ $less(0,tb2t1(get(int,int,t2tb(sK5),t2tb1($sum(a1,sK6(sK5))))))
| ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| spl7_17 ),
inference(resolution,[],[f403,f121]) ).
tff(f412,plain,
( ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| ~ $less(10,sK6(sK5))
| spl7_17 ),
inference(resolution,[],[f403,f123]) ).
tff(f413,plain,
( ~ $less(sK6(sK5),1)
| ( 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) )
| spl7_17 ),
inference(resolution,[],[f403,f122]) ).
tff(f414,plain,
( ~ $less(0,tb2t1(get(int,int,t2tb(sK5),t2tb1($sum(a1,sK6(sK5))))))
| ~ spl7_14
| spl7_17 ),
inference(forward_subsumption_resolution,[],[f411,f372]) ).
tff(f415,plain,
( ~ $less(10,sK6(sK5))
| ~ spl7_14
| spl7_17 ),
inference(forward_subsumption_resolution,[],[f412,f372]) ).
tff(f416,plain,
( ~ $less(sK6(sK5),1)
| ~ spl7_14
| spl7_17 ),
inference(forward_subsumption_resolution,[],[f413,f372]) ).
tff(f418,definition,
( spl7_18
<=> $less(0,tb2t1(get(int,int,t2tb(sK5),t2tb1($sum(a1,sK6(sK5)))))) ),
introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).
tff(f420,plain,
( ~ $less(0,tb2t1(get(int,int,t2tb(sK5),t2tb1($sum(a1,sK6(sK5))))))
| spl7_18 ),
inference(avatar_component_clause,[],[f418]) ).
tff(f421,plain,
( ~ spl7_18
| ~ spl7_14
| spl7_17 ),
inference(avatar_split_clause,[],[f414,f401,f370,f418]) ).
tff(f423,definition,
( spl7_19
<=> $less(10,sK6(sK5)) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
tff(f425,plain,
( ~ $less(10,sK6(sK5))
| spl7_19 ),
inference(avatar_component_clause,[],[f423]) ).
tff(f426,plain,
( ~ spl7_19
| ~ spl7_14
| spl7_17 ),
inference(avatar_split_clause,[],[f415,f401,f370,f423]) ).
tff(f428,definition,
( spl7_20
<=> $less(sK6(sK5),1) ),
introduced(definition,[new_symbols(definition,[spl7_20])],[avatar_definition]) ).
tff(f430,plain,
( ~ $less(sK6(sK5),1)
| spl7_20 ),
inference(avatar_component_clause,[],[f428]) ).
tff(f431,plain,
( ~ spl7_20
| ~ spl7_14
| spl7_17 ),
inference(avatar_split_clause,[],[f416,f401,f370,f428]) ).
tff(f517,plain,
( ( $sum(a1,sK6(sK5)) = $sum(sK1,-16) )
| $less(sK6(sK5),1)
| $less(10,sK6(sK5))
| ~ spl7_1
| ~ spl7_3
| spl7_18 ),
inference(resolution,[],[f356,f420]) ).
tff(f518,plain,
( ( $sum(a1,sK6(sK5)) = $sum(sK1,-16) )
| $less(10,sK6(sK5))
| ~ spl7_1
| ~ spl7_3
| spl7_18
| spl7_20 ),
inference(forward_subsumption_resolution,[],[f517,f430]) ).
tff(f519,plain,
( ( $sum(a1,sK6(sK5)) = $sum(sK1,-16) )
| ~ spl7_1
| ~ spl7_3
| spl7_18
| spl7_19
| spl7_20 ),
inference(forward_subsumption_resolution,[],[f518,f425]) ).
tff(f521,definition,
( spl7_21
<=> ( $sum(a1,sK6(sK5)) = $sum(sK1,-16) ) ),
introduced(definition,[new_symbols(definition,[spl7_21])],[avatar_definition]) ).
tff(f524,plain,
( spl7_21
| ~ spl7_1
| ~ spl7_3
| spl7_18
| spl7_19
| spl7_20 ),
inference(avatar_split_clause,[],[f519,f428,f423,f418,f150,f140,f521]) ).
tff(f525,plain,
$false,
inference(avatar_smt_refutation,[],[f524,f431,f426,f421,f404,f380,f287,f265,f259,f177,f163,f153,f148,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW576_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 % Computer : n011.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Mon Sep 28 14:20:00 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.09/1.66 % (3412589)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.09/1.66 % (3412602)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=893878866:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.09/1.66 % (3412601)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1756081663:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.09/1.66 % (3412602)Instruction limit reached!
% 5.09/1.66 % (3412602)------------------------------
% 5.09/1.66 % (3412602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.66 % (3412602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.66 % (3412602)CaDiCaL version: 2.1.3
% 5.09/1.66 % (3412602)Termination reason: Instruction limit
% 5.09/1.66 % (3412602)Termination phase: Saturation
% 5.09/1.66 % (3412602)Time elapsed: 0.039 s
% 5.09/1.66 % (3412602)Peak memory usage: 116 MB
% 5.09/1.66 % (3412602)Instructions burned: 33 (million)
% 5.09/1.66 % (3412601)Instruction limit reached!
% 5.09/1.66 % (3412601)------------------------------
% 5.09/1.66 % (3412601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.66 % (3412601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.66 % (3412601)CaDiCaL version: 2.1.3
% 5.09/1.66 % (3412601)Termination reason: Instruction limit
% 5.09/1.66 % (3412601)Termination phase: Saturation
% 5.09/1.66 % (3412601)Time elapsed: 0.057 s
% 5.09/1.66 % (3412601)Peak memory usage: 116 MB
% 5.09/1.66 % (3412601)Instructions burned: 47 (million)
% 5.09/1.66 % (3412596)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2925779310:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.09/1.66 % (3412600)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3458969964:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.09/1.66 % (3412599)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=527560580:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.09/1.66 % (3412597)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2485913283:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.09/1.66 % (3412598)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=902352678:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.09/1.66 % (3412600)Instruction limit reached!
% 5.09/1.66 % (3412600)------------------------------
% 5.09/1.66 % (3412600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.66 % (3412600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.66 % (3412600)CaDiCaL version: 2.1.3
% 5.09/1.66 % (3412600)Termination reason: Instruction limit
% 5.09/1.66 % (3412600)Termination phase: Saturation
% 5.09/1.66 % (3412600)Time elapsed: 0.007 s
% 5.09/1.66 % (3412600)Peak memory usage: 89 MB
% 5.09/1.66 % (3412600)Instructions burned: 5 (million)
% 5.09/1.66 % (3412599)Instruction limit reached!
% 5.09/1.66 % (3412599)------------------------------
% 5.09/1.66 % (3412599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.66 % (3412599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.66 % (3412599)CaDiCaL version: 2.1.3
% 5.09/1.66 % (3412599)Termination reason: Instruction limit
% 5.09/1.66 % (3412599)Termination phase: Saturation
% 5.09/1.66 % (3412599)Time elapsed: 0.009 s
% 5.09/1.66 % (3412599)Peak memory usage: 88 MB
% 5.09/1.66 % (3412599)Instructions burned: 8 (million)
% 5.09/1.66 % (3412596)Instruction limit reached!
% 5.09/1.66 % (3412596)------------------------------
% 5.09/1.66 % (3412596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.66 % (3412596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.66 % (3412596)CaDiCaL version: 2.1.3
% 5.09/1.66 % (3412596)Termination reason: Instruction limit
% 5.09/1.66 % (3412596)Termination phase: Saturation
% 5.09/1.66 % (3412596)Time elapsed: 0.039 s
% 5.09/1.66 % (3412596)Peak memory usage: 115 MB
% 5.09/1.66 % (3412596)Instructions burned: 13 (million)
% 5.09/1.66 % (3412598)Instruction limit reached!
% 5.09/1.66 % (3412598)------------------------------
% 5.09/1.66 % (3412598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.66 % (3412598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.96 % (3412598)CaDiCaL version: 2.1.3
% 7.41/1.96 % (3412598)Termination reason: Instruction limit
% 7.41/1.96 % (3412598)Termination phase: Saturation
% 7.41/1.96 % (3412598)Time elapsed: 0.187 s
% 7.41/1.96 % (3412598)Peak memory usage: 116 MB
% 7.41/1.96 % (3412598)Instructions burned: 203 (million)
% 7.41/1.96 % (3412607)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2595845734:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 7.41/1.96 % (3412606)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1300969492:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 7.41/1.96 % (3412614)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=842078017:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 7.41/1.96 % (3412606)Instruction limit reached!
% 7.41/1.96 % (3412606)------------------------------
% 7.41/1.96 % (3412606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/1.96 % (3412606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.96 % (3412606)CaDiCaL version: 2.1.3
% 7.41/1.96 % (3412606)Termination reason: Instruction limit
% 7.41/1.96 % (3412606)Termination phase: Saturation
% 7.41/1.96 % (3412606)Time elapsed: 0.017 s
% 7.41/1.96 % (3412606)Peak memory usage: 89 MB
% 7.41/1.96 % (3412606)Instructions burned: 14 (million)
% 7.41/1.96 % (3412614)Instruction limit reached!
% 7.41/1.96 % (3412614)------------------------------
% 7.41/1.96 % (3412614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/1.96 % (3412614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.96 % (3412614)CaDiCaL version: 2.1.3
% 7.41/1.96 % (3412614)Termination reason: Instruction limit
% 7.41/1.96 % (3412614)Termination phase: Saturation
% 7.41/1.96 % (3412614)Time elapsed: 0.016 s
% 7.41/1.96 % (3412614)Peak memory usage: 89 MB
% 7.41/1.96 % (3412614)Instructions burned: 24 (million)
% 7.41/1.96 % (3412607)Instruction limit reached!
% 7.41/1.96 % (3412607)------------------------------
% 7.41/1.96 % (3412607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/1.96 % (3412607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.96 % (3412607)CaDiCaL version: 2.1.3
% 7.41/1.96 % (3412607)Termination reason: Instruction limit
% 7.41/1.96 % (3412607)Termination phase: Saturation
% 7.41/1.96 % (3412607)Time elapsed: 0.033 s
% 7.41/1.96 % (3412607)Peak memory usage: 88 MB
% 7.41/1.96 % (3412607)Instructions burned: 29 (million)
% 7.41/1.96 % (3412613)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2682496029:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 7.41/1.96 % (3412613)Instruction limit reached!
% 7.41/1.96 % (3412613)------------------------------
% 7.41/1.96 % (3412613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/1.96 % (3412613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.96 % (3412613)CaDiCaL version: 2.1.3
% 7.41/1.96 % (3412613)Termination reason: Instruction limit
% 7.41/1.96 % (3412613)Termination phase: Saturation
% 7.41/1.96 % (3412613)Time elapsed: 0.020 s
% 7.41/1.96 % (3412613)Peak memory usage: 90 MB
% 7.41/1.96 % (3412613)Instructions burned: 16 (million)
% 7.41/1.96 % (3412615)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2760655763:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 7.41/1.96 % (3412615)Refutation not found, incomplete strategy
% 7.41/1.96 % (3412615)------------------------------
% 7.41/1.96 % (3412615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/1.96 % (3412615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.96 % (3412615)CaDiCaL version: 2.1.3
% 7.41/1.96 % (3412615)Termination reason: Refutation not found, incomplete strategy
% 7.41/1.96 % (3412615)Time elapsed: 0.006 s
% 7.41/1.96 % (3412615)Peak memory usage: 89 MB
% 7.41/1.96 % (3412615)Instructions burned: 4 (million)
% 7.41/1.96 % (3412597)Instruction limit reached!
% 7.41/1.96 % (3412597)------------------------------
% 7.41/1.96 % (3412597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/1.96 % (3412597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.28 % (3412597)CaDiCaL version: 2.1.3
% 10.19/2.28 % (3412597)Termination reason: Instruction limit
% 10.19/2.28 % (3412597)Termination phase: Saturation
% 10.19/2.28 % (3412597)Time elapsed: 0.345 s
% 10.19/2.28 % (3412597)Peak memory usage: 117 MB
% 10.19/2.28 % (3412597)Instructions burned: 308 (million)
% 10.19/2.28 % (3412622)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2456618864:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 10.19/2.28 % (3412619)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2096077155:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 10.19/2.28 % (3412622)Refutation not found, incomplete strategy
% 10.19/2.28 % (3412622)------------------------------
% 10.19/2.28 % (3412622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.28 % (3412622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.28 % (3412622)CaDiCaL version: 2.1.3
% 10.19/2.28 % (3412622)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.28 % (3412622)Time elapsed: 0.035 s
% 10.19/2.28 % (3412622)Peak memory usage: 90 MB
% 10.19/2.28 % (3412622)Instructions burned: 64 (million)
% 10.19/2.28 % (3412621)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=695879004:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 10.19/2.28 % (3412621)Instruction limit reached!
% 10.19/2.28 % (3412621)------------------------------
% 10.19/2.28 % (3412621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.28 % (3412621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.28 % (3412621)CaDiCaL version: 2.1.3
% 10.19/2.28 % (3412621)Termination reason: Instruction limit
% 10.19/2.28 % (3412621)Termination phase: Property scanning
% 10.19/2.28 % (3412621)Time elapsed: 0.003 s
% 10.19/2.28 % (3412621)Peak memory usage: 87 MB
% 10.19/2.28 % (3412621)Instructions burned: 2 (million)
% 10.19/2.28 % (3412623)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2369834650:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 10.19/2.28 % (3412619)Instruction limit reached!
% 10.19/2.28 % (3412619)------------------------------
% 10.19/2.28 % (3412619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.28 % (3412619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.28 % (3412619)CaDiCaL version: 2.1.3
% 10.19/2.28 % (3412619)Termination reason: Instruction limit
% 10.19/2.28 % (3412619)Termination phase: Saturation
% 10.19/2.28 % (3412619)Time elapsed: 0.075 s
% 10.19/2.28 % (3412619)Peak memory usage: 89 MB
% 10.19/2.28 % (3412619)Instructions burned: 86 (million)
% 10.19/2.28 % (3412623)Instruction limit reached!
% 10.19/2.28 % (3412623)------------------------------
% 10.19/2.28 % (3412623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.28 % (3412623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.28 % (3412623)CaDiCaL version: 2.1.3
% 10.19/2.28 % (3412623)Termination reason: Instruction limit
% 10.19/2.28 % (3412623)Termination phase: Saturation
% 10.19/2.28 % (3412623)Time elapsed: 0.005 s
% 10.19/2.28 % (3412623)Peak memory usage: 88 MB
% 10.19/2.28 % (3412623)Instructions burned: 4 (million)
% 10.19/2.28 % (3412627)lrs+10_1_thi=all:si=on:fd=off:random_seed=1555441598:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 10.19/2.28 % (3412625)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1231481497:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 10.19/2.28 % (3412627)Instruction limit reached!
% 10.19/2.28 % (3412627)------------------------------
% 10.19/2.28 % (3412627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.28 % (3412627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.28 % (3412627)CaDiCaL version: 2.1.3
% 10.19/2.28 % (3412627)Termination reason: Instruction limit
% 10.19/2.28 % (3412627)Termination phase: Saturation
% 10.19/2.28 % (3412627)Time elapsed: 0.069 s
% 10.19/2.28 % (3412627)Peak memory usage: 117 MB
% 10.19/2.28 % (3412627)Instructions burned: 53 (million)
% 10.19/2.28 % (3412625)Instruction limit reached!
% 10.19/2.28 % (3412625)------------------------------
% 10.19/2.28 % (3412625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.28 % (3412625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.63 % (3412625)CaDiCaL version: 2.1.3
% 11.88/2.63 % (3412625)Termination reason: Instruction limit
% 11.88/2.63 % (3412625)Termination phase: Saturation
% 11.88/2.63 % (3412625)Time elapsed: 0.129 s
% 11.88/2.63 % (3412625)Peak memory usage: 134 MB
% 11.88/2.63 % (3412625)Instructions burned: 67 (million)
% 11.88/2.63 % (3412622)------------------------------
% 11.88/2.63 % (3412622)------------------------------
% 11.88/2.63 % (3412615)------------------------------
% 11.88/2.63 % (3412615)------------------------------
% 11.88/2.63 % (3412631)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=2726607005:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/8Mi)
% 11.88/2.63 % (3412634)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2178495659:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 11.88/2.63 % (3412633)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1951195826:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 11.88/2.63 % (3412631)Instruction limit reached!
% 11.88/2.63 % (3412631)------------------------------
% 11.88/2.63 % (3412631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.63 % (3412631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.63 % (3412631)CaDiCaL version: 2.1.3
% 11.88/2.63 % (3412631)Termination reason: Instruction limit
% 11.88/2.63 % (3412631)Termination phase: Saturation
% 11.88/2.63 % (3412631)Time elapsed: 0.010 s
% 11.88/2.63 % (3412631)Peak memory usage: 88 MB
% 11.88/2.63 % (3412631)Instructions burned: 8 (million)
% 11.88/2.63 % (3412634)Instruction limit reached!
% 11.88/2.63 % (3412634)------------------------------
% 11.88/2.63 % (3412634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.63 % (3412634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.63 % (3412634)CaDiCaL version: 2.1.3
% 11.88/2.63 % (3412634)Termination reason: Instruction limit
% 11.88/2.63 % (3412634)Termination phase: Function definition elimination
% 11.88/2.63 % (3412634)Time elapsed: 0.003 s
% 11.88/2.63 % (3412634)Peak memory usage: 86 MB
% 11.88/2.63 % (3412634)Instructions burned: 2 (million)
% 11.88/2.63 % (3412633)Instruction limit reached!
% 11.88/2.63 % (3412633)------------------------------
% 11.88/2.63 % (3412633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.63 % (3412633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.63 % (3412633)CaDiCaL version: 2.1.3
% 11.88/2.63 % (3412633)Termination reason: Instruction limit
% 11.88/2.63 % (3412633)Termination phase: Saturation
% 11.88/2.63 % (3412633)Time elapsed: 0.004 s
% 11.88/2.63 % (3412633)Peak memory usage: 88 MB
% 11.88/2.63 % (3412633)Instructions burned: 2 (million)
% 11.88/2.63 % (3412637)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2626097094:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 11.88/2.63 % (3412639)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3871214283:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 11.88/2.63 % (3412639)Refutation not found, incomplete strategy
% 11.88/2.63 % (3412639)------------------------------
% 11.88/2.63 % (3412639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.63 % (3412639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.63 % (3412639)CaDiCaL version: 2.1.3
% 11.88/2.63 % (3412639)Termination reason: Refutation not found, incomplete strategy
% 11.88/2.63 % (3412639)Time elapsed: 0.006 s
% 11.88/2.63 % (3412639)Peak memory usage: 89 MB
% 11.88/2.63 % (3412639)Instructions burned: 6 (million)
% 11.88/2.63 % (3412638)dis+10_1_si=on:random_seed=3266122370:i=10:ep=R:rtra=on_2990 on theBenchmark for (2990ds/10Mi)
% 11.88/2.63 % (3412638)Instruction limit reached!
% 11.88/2.63 % (3412638)------------------------------
% 11.88/2.63 % (3412638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.63 % (3412638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.63 % (3412638)CaDiCaL version: 2.1.3
% 11.88/2.63 % (3412638)Termination reason: Instruction limit
% 11.88/2.63 % (3412638)Termination phase: Saturation
% 11.88/2.63 % (3412638)Time elapsed: 0.012 s
% 11.88/2.63 % (3412638)Peak memory usage: 88 MB
% 11.88/2.63 % (3412638)Instructions burned: 10 (million)
% 11.88/2.63 % (3412640)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2652010998:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 13.22/3.03 % (3412637)Instruction limit reached!
% 13.22/3.03 % (3412637)------------------------------
% 13.22/3.03 % (3412637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412637)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412637)Termination reason: Instruction limit
% 13.22/3.03 % (3412637)Termination phase: Saturation
% 13.22/3.03 % (3412637)Time elapsed: 0.163 s
% 13.22/3.03 % (3412637)Peak memory usage: 117 MB
% 13.22/3.03 % (3412637)Instructions burned: 127 (million)
% 13.22/3.03 % (3412640)Instruction limit reached!
% 13.22/3.03 % (3412640)------------------------------
% 13.22/3.03 % (3412640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412640)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412640)Termination reason: Instruction limit
% 13.22/3.03 % (3412640)Termination phase: Saturation
% 13.22/3.03 % (3412640)Time elapsed: 0.043 s
% 13.22/3.03 % (3412640)Peak memory usage: 89 MB
% 13.22/3.03 % (3412640)Instructions burned: 35 (million)
% 13.22/3.03 % (3412645)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3367577675:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2989 on theBenchmark for (2989ds/8Mi)
% 13.22/3.03 % (3412644)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2253638208:i=2:fsr=off:rtra=on:inst=on_2989 on theBenchmark for (2989ds/2Mi)
% 13.22/3.03 % (3412646)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3533405452:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 13.22/3.03 % (3412644)Instruction limit reached!
% 13.22/3.03 % (3412644)------------------------------
% 13.22/3.03 % (3412644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412644)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412644)Termination reason: Instruction limit
% 13.22/3.03 % (3412644)Termination phase: Saturation
% 13.22/3.03 % (3412644)Time elapsed: 0.003 s
% 13.22/3.03 % (3412644)Peak memory usage: 87 MB
% 13.22/3.03 % (3412644)Instructions burned: 2 (million)
% 13.22/3.03 % (3412645)Instruction limit reached!
% 13.22/3.03 % (3412645)------------------------------
% 13.22/3.03 % (3412645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412645)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412645)Termination reason: Instruction limit
% 13.22/3.03 % (3412645)Termination phase: Saturation
% 13.22/3.03 % (3412645)Time elapsed: 0.011 s
% 13.22/3.03 % (3412645)Peak memory usage: 88 MB
% 13.22/3.03 % (3412645)Instructions burned: 8 (million)
% 13.22/3.03 % (3412650)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=744361525:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2988 on theBenchmark for (2988ds/13Mi)
% 13.22/3.03 % (3412650)Instruction limit reached!
% 13.22/3.03 % (3412650)------------------------------
% 13.22/3.03 % (3412650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412650)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412650)Termination reason: Instruction limit
% 13.22/3.03 % (3412650)Termination phase: Saturation
% 13.22/3.03 % (3412650)Time elapsed: 0.028 s
% 13.22/3.03 % (3412650)Peak memory usage: 116 MB
% 13.22/3.03 % (3412650)Instructions burned: 14 (million)
% 13.22/3.03 % (3412639)------------------------------
% 13.22/3.03 % (3412639)------------------------------
% 13.22/3.03 % (3412652)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2560335710:i=226:rtra=on:gtg=position:ss=axioms_2987 on theBenchmark for (2987ds/226Mi)
% 13.22/3.03 % (3412653)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=909788579:i=10:rtra=on_2987 on theBenchmark for (2987ds/10Mi)
% 13.22/3.03 % (3412652)Refutation not found, incomplete strategy
% 13.22/3.03 % (3412652)------------------------------
% 13.22/3.03 % (3412652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412652)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412652)Termination reason: Refutation not found, incomplete strategy
% 13.22/3.03 % (3412652)Time elapsed: 0.042 s
% 13.22/3.03 % (3412652)Peak memory usage: 116 MB
% 13.22/3.03 % (3412652)Instructions burned: 7 (million)
% 13.22/3.03 % (3412653)Instruction limit reached!
% 13.22/3.03 % (3412653)------------------------------
% 13.22/3.03 % (3412653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412653)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412653)Termination reason: Instruction limit
% 13.22/3.03 % (3412653)Termination phase: Saturation
% 13.22/3.03 % (3412653)Time elapsed: 0.012 s
% 13.22/3.03 % (3412653)Peak memory usage: 88 MB
% 13.22/3.03 % (3412653)Instructions burned: 10 (million)
% 13.22/3.03 % (3412657)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1453451436:i=71:rtra=on:gtg=exists_top_2987 on theBenchmark for (2987ds/71Mi)
% 13.22/3.03 % (3412658)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=2705168638:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2986 on theBenchmark for (2986ds/75Mi)
% 13.22/3.03 % (3412646)Instruction limit reached!
% 13.22/3.03 % (3412646)------------------------------
% 13.22/3.03 % (3412646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412646)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412646)Termination reason: Instruction limit
% 13.22/3.03 % (3412646)Termination phase: Saturation
% 13.22/3.03 % (3412646)Time elapsed: 0.326 s
% 13.22/3.03 % (3412646)Peak memory usage: 92 MB
% 13.22/3.03 % (3412646)Instructions burned: 370 (million)
% 13.22/3.03 % (3412660)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3285450063:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2985 on theBenchmark for (2985ds/294Mi)
% 13.22/3.03 % (3412658)Instruction limit reached!
% 13.22/3.03 % (3412658)------------------------------
% 13.22/3.03 % (3412658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412658)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412658)Termination reason: Instruction limit
% 13.22/3.03 % (3412658)Termination phase: Saturation
% 13.22/3.03 % (3412658)Time elapsed: 0.082 s
% 13.22/3.03 % (3412658)Peak memory usage: 90 MB
% 13.22/3.03 % (3412658)Instructions burned: 75 (million)
% 13.22/3.03 % (3412657)Instruction limit reached!
% 13.22/3.03 % (3412657)------------------------------
% 13.22/3.03 % (3412657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412657)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412657)Termination reason: Instruction limit
% 13.22/3.03 % (3412657)Termination phase: Saturation
% 13.22/3.03 % (3412657)Time elapsed: 0.137 s
% 13.22/3.03 % (3412657)Peak memory usage: 133 MB
% 13.22/3.03 % (3412657)Instructions burned: 71 (million)
% 13.22/3.03 % (3412664)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=4158309874:i=131:rtra=on_2984 on theBenchmark for (2984ds/131Mi)
% 13.22/3.03 % (3412661)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3607434946:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2985 on theBenchmark for (2985ds/130Mi)
% 13.22/3.03 % (3412664)First to succeed.
% 13.22/3.03 % (3412664)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3412589"
% 13.22/3.03 % (3412661)Instruction limit reached!
% 13.22/3.03 % (3412661)------------------------------
% 13.22/3.03 % (3412661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412661)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412661)Termination reason: Instruction limit
% 13.22/3.03 % (3412661)Termination phase: Saturation
% 13.22/3.03 % (3412661)Time elapsed: 0.142 s
% 13.22/3.03 % (3412661)Peak memory usage: 117 MB
% 13.22/3.03 % (3412661)Instructions burned: 130 (million)
% 13.22/3.03 % (3412667)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3123814844:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2983 on theBenchmark for (2983ds/40Mi)
% 13.22/3.03 % (3412660)Instruction limit reached!
% 13.22/3.03 % (3412660)------------------------------
% 13.22/3.03 % (3412660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412660)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412660)Termination reason: Instruction limit
% 13.22/3.03 % (3412660)Termination phase: Saturation
% 13.22/3.03 % (3412660)Time elapsed: 0.250 s
% 13.22/3.03 % (3412660)Peak memory usage: 91 MB
% 13.22/3.03 % (3412660)Instructions burned: 298 (million)
% 13.22/3.03 % (3412669)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1000434058:i=307:rtra=on:gtg=exists_top_2983 on theBenchmark for (2983ds/307Mi)
% 13.22/3.03 % (3412652)------------------------------
% 13.22/3.03 % (3412652)------------------------------
% 13.22/3.03 % (3412670)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1258843087:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2982 on theBenchmark for (2982ds/598Mi)
% 13.22/3.03 % (3412667)Instruction limit reached!
% 13.22/3.03 % (3412667)------------------------------
% 13.22/3.03 % (3412667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412667)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412667)Termination reason: Instruction limit
% 13.22/3.03 % (3412667)Termination phase: Saturation
% 13.22/3.03 % (3412667)Time elapsed: 0.102 s
% 13.22/3.03 % (3412667)Peak memory usage: 134 MB
% 13.22/3.03 % (3412667)Instructions burned: 40 (million)
% 13.22/3.03 % (3412670)Also succeeded, but the first one will report.
% 13.22/3.03 % (3412675)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1806260057:i=131:canc=cautious:fsr=off:rtra=on_2981 on theBenchmark for (2981ds/131Mi)
% 13.22/3.03 % (3412676)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=199817957:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2981 on theBenchmark for (2981ds/259Mi)
% 13.22/3.03 % (3412675)Instruction limit reached!
% 13.22/3.03 % (3412675)------------------------------
% 13.22/3.03 % (3412675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412675)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412675)Termination reason: Instruction limit
% 13.22/3.03 % (3412675)Termination phase: Saturation
% 13.22/3.03 % (3412675)Time elapsed: 0.124 s
% 13.22/3.03 % (3412675)Peak memory usage: 118 MB
% 13.22/3.03 % (3412675)Instructions burned: 132 (million)
% 13.22/3.03 % (3412679)dis+10_1_si=on:random_seed=3894757833:s2a=on:i=1000:rtra=on:gtg=exists_all_2980 on theBenchmark for (2980ds/1000Mi)
% 13.22/3.03 % (3412669)Instruction limit reached!
% 13.22/3.03 % (3412669)------------------------------
% 13.22/3.03 % (3412669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/3.03 % (3412669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/3.03 % (3412669)CaDiCaL version: 2.1.3
% 13.22/3.03 % (3412669)Termination reason: Instruction limit
% 13.22/3.03 % (3412669)Termination phase: Saturation
% 13.22/3.03 % (3412669)Time elapsed: 0.313 s
% 13.22/3.03 % (3412669)Peak memory usage: 91 MB
% 13.22/3.03 % (3412669)Instructions burned: 307 (million)
% 13.22/3.03 % (3412681)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=2095721204:i=383:fsr=off:rtra=on:ev=force_2980 on theBenchmark for (2980ds/383Mi)
% 13.22/3.03 % (3412664)Refutation found. Thanks to Tanya!
% 13.22/3.03 % SZS status Theorem for theBenchmark
% 13.22/3.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/3.31 % (3412664)------------------------------
% 0.28/3.31 % (3412664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/3.31 % (3412664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/3.31 % (3412664)CaDiCaL version: 2.1.3
% 0.28/3.31 % (3412664)Termination reason: Refutation
% 0.28/3.31 % (3412664)Time elapsed: 0.098 s
% 0.28/3.31 % (3412664)Peak memory usage: 134 MB
% 0.28/3.31 % (3412664)Instructions burned: 60 (million)
% 0.28/3.31 % (3412664)------------------------------
% 0.28/3.31 % (3412664)------------------------------
% 0.28/3.31 % (3412589)Success in time 2.277 s
% 0.28/3.31 % Vampire exiting
%------------------------------------------------------------------------------