%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW585_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 : n010.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 01:30:52 PM UTC 2026
% Result : Theorem 10.73s 2.25s
% Output : Refutation 11.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 62 ( 10 unt; 0 typ; 11 def)
% Number of atoms : 200 ( 107 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 201 ( 63 ~; 49 |; 43 &)
% ( 11 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 154 ( 46 atm; 49 fun; 25 num; 34 var)
% Number of types : 14 ( 12 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 14 usr; 12 prp; 0-3 aty)
% Number of functors : 91 ( 87 usr; 25 con; 0-5 aty)
% Number of variables : 87 ( 75 !; 12 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
expr: $tType ).
tff(type_def_10,type,
value: $tType ).
tff(type_def_11,type,
value_mngt_value: $tType ).
tff(type_def_12,type,
int_mngt_value: $tType ).
tff(type_def_13,type,
lprp_mngt_value: $tType ).
tff(type_def_14,type,
cont: $tType ).
tff(type_def_15,type,
cont2: $tType ).
tff(type_def_16,type,
context: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
expr1: ty ).
tff(func_def_13,type,
cte: $int > expr ).
tff(func_def_14,type,
sub: ( expr * expr ) > expr ).
tff(func_def_15,type,
match_expr: ( ty * expr * uni * uni ) > uni ).
tff(func_def_16,type,
cte_proj_1: expr > $int ).
tff(func_def_17,type,
sub_proj_1: expr > expr ).
tff(func_def_18,type,
sub_proj_2: expr > expr ).
tff(func_def_19,type,
value1: ty ).
tff(func_def_20,type,
vnum: $int > value ).
tff(func_def_21,type,
underflow: value ).
tff(func_def_22,type,
match_value: ( ty * value * uni * uni ) > uni ).
tff(func_def_23,type,
vnum_proj_1: value > $int ).
tff(func_def_24,type,
eval_0: expr > value ).
tff(func_def_26,type,
func: ( ty * ty ) > ty ).
tff(func_def_27,type,
infix_at: ( ty * ty * uni * uni ) > uni ).
tff(func_def_28,type,
eval_1: ( ty * expr * uni ) > uni ).
tff(func_def_29,type,
fc: ( ty * uni * $int ) > uni ).
tff(func_def_30,type,
fc1: ( ty * uni * expr ) > uni ).
tff(func_def_31,type,
t2tb: value > uni ).
tff(func_def_32,type,
tb2t: uni > value ).
tff(func_def_33,type,
fc2: value_mngt_value ).
tff(func_def_34,type,
t2tb1: value_mngt_value > uni ).
tff(func_def_35,type,
tb2t1: uni > value_mngt_value ).
tff(func_def_36,type,
eval_2: ( ty * expr * uni * uni ) > uni ).
tff(func_def_37,type,
eval_2a: ( ty * expr * uni * uni ) > uni ).
tff(func_def_38,type,
eval_2b: ( ty * $int * uni * uni ) > uni ).
tff(func_def_39,type,
t2tb2: tuple0 > uni ).
tff(func_def_40,type,
tb2t2: uni > tuple0 ).
tff(func_def_41,type,
t2tb3: $int > uni ).
tff(func_def_42,type,
tb2t3: uni > $int ).
tff(func_def_43,type,
vnum_closure: int_mngt_value ).
tff(func_def_44,type,
fc3: lprp_mngt_value ).
tff(func_def_45,type,
t2tb4: int_mngt_value > uni ).
tff(func_def_46,type,
tb2t4: uni > int_mngt_value ).
tff(func_def_47,type,
t2tb5: lprp_mngt_value > uni ).
tff(func_def_48,type,
tb2t5: uni > lprp_mngt_value ).
tff(func_def_49,type,
eval_3: ( expr * int_mngt_value ) > value ).
tff(func_def_50,type,
eval_3a: ( expr * int_mngt_value ) > int_mngt_value ).
tff(func_def_51,type,
eval_3b: ( $int * int_mngt_value ) > int_mngt_value ).
tff(func_def_52,type,
cont1: ty ).
tff(func_def_53,type,
i: cont ).
tff(func_def_54,type,
a: ( expr * cont ) > cont ).
tff(func_def_55,type,
b: ( $int * cont ) > cont ).
tff(func_def_56,type,
match_cont: ( ty * cont * uni * uni * uni ) > uni ).
tff(func_def_57,type,
a_proj_1: cont > expr ).
tff(func_def_58,type,
a_proj_2: cont > cont ).
tff(func_def_59,type,
b_proj_1: cont > $int ).
tff(func_def_60,type,
b_proj_2: cont > cont ).
tff(func_def_61,type,
size_e: expr > $int ).
tff(func_def_65,type,
eval_01: expr > $int ).
tff(func_def_66,type,
cont3: ty ).
tff(func_def_67,type,
a1: ( expr * cont2 ) > cont2 ).
tff(func_def_68,type,
a2: ( $int * cont2 ) > cont2 ).
tff(func_def_69,type,
i1: cont2 ).
tff(func_def_70,type,
match_cont1: ( ty * cont2 * uni * uni * uni ) > uni ).
tff(func_def_71,type,
a1_proj_1: cont2 > expr ).
tff(func_def_72,type,
a1_proj_2: cont2 > cont2 ).
tff(func_def_73,type,
a2_proj_1: cont2 > $int ).
tff(func_def_74,type,
a2_proj_2: cont2 > cont2 ).
tff(func_def_75,type,
size_e1: expr > $int ).
tff(func_def_76,type,
size_c: cont2 > $int ).
tff(func_def_78,type,
size_c1: cont > $int ).
tff(func_def_79,type,
context1: ty ).
tff(func_def_80,type,
empty: context ).
tff(func_def_81,type,
left: ( context * expr ) > context ).
tff(func_def_82,type,
right: ( $int * context ) > context ).
tff(func_def_83,type,
match_context: ( ty * context * uni * uni * uni ) > uni ).
tff(func_def_84,type,
left_proj_1: context > context ).
tff(func_def_85,type,
left_proj_2: context > expr ).
tff(func_def_86,type,
right_proj_1: context > $int ).
tff(func_def_87,type,
right_proj_2: context > context ).
tff(func_def_88,type,
size_c2: context > $int ).
tff(func_def_89,type,
recompose: ( context * expr ) > expr ).
tff(func_def_91,type,
sK0: $int ).
tff(func_def_92,type,
sK1: context ).
tff(func_def_93,type,
sK2: $int ).
tff(func_def_94,type,
sK3: context ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
eval_cont: ( cont * value * value ) > $o ).
tff(pred_def_4,type,
eval_cont1: ( cont2 * $int * $int ) > $o ).
tff(f23,axiom,
( ! [X1: expr,X0: expr] :
( ! [X2: $int] :
( ( eval_0(X0) = vnum(X2) )
=> ( ! [X3: $int] :
( ( eval_0(X1) = vnum(X3) )
=> ( ( $lesseq(X3,X2)
=> ( eval_0(sub(X0,X1)) = vnum($difference(X2,X3)) ) )
& ( ~ $lesseq(X3,X2)
=> ( eval_0(sub(X0,X1)) = underflow ) ) ) )
& ( ( eval_0(X1) = underflow )
=> ( eval_0(sub(X0,X1)) = underflow ) ) ) )
& ( ( eval_0(X0) = underflow )
=> ( eval_0(sub(X0,X1)) = underflow ) ) )
& ! [X0: $int] :
( ( $lesseq(0,X0)
=> ( eval_0(cte(X0)) = vnum(X0) ) )
& ( ~ $lesseq(0,X0)
=> ( eval_0(cte(X0)) = underflow ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eval_0_def) ).
tff(f124,axiom,
! [X0: expr] :
( ! [X1: context,X2: expr] : ( recompose(left(X1,X2),X0) = recompose(X1,sub(X0,X2)) )
& ( recompose(empty,X0) = X0 )
& ! [X1: $int,X2: context] : ( recompose(right(X1,X2),X0) = recompose(X2,sub(cte(X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',recompose_def) ).
tff(f125,axiom,
! [X1: expr,X2: expr,X0: context] :
( ( eval_0(X1) = eval_0(X2) )
=> ( eval_0(recompose(X0,X1)) = eval_0(recompose(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',recompose_values) ).
tff(f127,conjecture,
! [X0: context,X1: $int] :
( $lesseq(0,X1)
=> ! [X2: $int,X3: context] :
( ( X0 = right(X2,X3) )
=> ( $lesseq(X1,X2)
=> ( eval_0(recompose(X3,cte($difference(X2,X1)))) = eval_0(recompose(X0,cte(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_eval_2) ).
tff(f128,negated_conjecture,
~ ! [X0: context,X1: $int] :
( $lesseq(0,X1)
=> ! [X2: $int,X3: context] :
( ( X0 = right(X2,X3) )
=> ( $lesseq(X1,X2)
=> ( eval_0(recompose(X3,cte($difference(X2,X1)))) = eval_0(recompose(X0,cte(X1))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f127]) ).
tff(f137,plain,
( ! [X1: expr,X0: expr] :
( ! [X2: $int] :
( ( eval_0(X0) = vnum(X2) )
=> ( ! [X3: $int] :
( ( eval_0(X1) = vnum(X3) )
=> ( ( ~ $less(X2,X3)
=> ( eval_0(sub(X0,X1)) = vnum($sum(X2,$uminus(X3))) ) )
& ( $less(X2,X3)
=> ( eval_0(sub(X0,X1)) = underflow ) ) ) )
& ( ( eval_0(X1) = underflow )
=> ( eval_0(sub(X0,X1)) = underflow ) ) ) )
& ( ( eval_0(X0) = underflow )
=> ( eval_0(sub(X0,X1)) = underflow ) ) )
& ! [X0: $int] :
( ( ~ $less(X0,0)
=> ( eval_0(cte(X0)) = vnum(X0) ) )
& ( $less(X0,0)
=> ( eval_0(cte(X0)) = underflow ) ) ) ),
inference(theory_normalization,[],[f23]) ).
tff(f139,plain,
~ ! [X1: $int,X0: context] :
( ~ $less(X1,0)
=> ! [X3: context,X2: $int] :
( ( X0 = right(X2,X3) )
=> ( ~ $less(X2,X1)
=> ( eval_0(recompose(X0,cte(X1))) = eval_0(recompose(X3,cte($sum(X2,$uminus(X1))))) ) ) ) ),
inference(theory_normalization,[],[f128]) ).
tff(f149,plain,
! [X2: context,X1: expr,X0: expr] :
( ( eval_0(X0) = eval_0(X1) )
=> ( eval_0(recompose(X2,X0)) = eval_0(recompose(X2,X1)) ) ),
inference(rectify,[],[f125]) ).
tff(f150,plain,
! [X0: expr] :
( ! [X1: context,X2: expr] : ( recompose(left(X1,X2),X0) = recompose(X1,sub(X0,X2)) )
& ! [X4: context,X3: $int] : ( recompose(right(X3,X4),X0) = recompose(X4,sub(cte(X3),X0)) )
& ( recompose(empty,X0) = X0 ) ),
inference(rectify,[],[f124]) ).
tff(f151,plain,
( ! [X4: $int] :
( ( ~ $less(X4,0)
=> ( vnum(X4) = eval_0(cte(X4)) ) )
& ( $less(X4,0)
=> ( underflow = eval_0(cte(X4)) ) ) )
& ! [X1: expr,X0: expr] :
( ( ( underflow = eval_0(X1) )
=> ( underflow = eval_0(sub(X1,X0)) ) )
& ! [X2: $int] :
( ( vnum(X2) = eval_0(X1) )
=> ( ( ( underflow = eval_0(X0) )
=> ( underflow = eval_0(sub(X1,X0)) ) )
& ! [X3: $int] :
( ( vnum(X3) = eval_0(X0) )
=> ( ( ~ $less(X2,X3)
=> ( eval_0(sub(X1,X0)) = vnum($sum(X2,$uminus(X3))) ) )
& ( $less(X2,X3)
=> ( underflow = eval_0(sub(X1,X0)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f137]) ).
tff(f154,plain,
! [X0: expr,X1: expr,X2: context] :
( ( eval_0(X0) != eval_0(X1) )
| ( eval_0(recompose(X2,X0)) = eval_0(recompose(X2,X1)) ) ),
inference(ennf_transformation,[],[f149]) ).
tff(f156,plain,
? [X1: $int,X0: context] :
( ? [X3: context,X2: $int] :
( ( eval_0(recompose(X0,cte(X1))) != eval_0(recompose(X3,cte($sum(X2,$uminus(X1))))) )
& ~ $less(X2,X1)
& ( X0 = right(X2,X3) ) )
& ~ $less(X1,0) ),
inference(ennf_transformation,[],[f139]) ).
tff(f157,plain,
? [X1: $int,X0: context] :
( ? [X2: $int,X3: context] :
( ~ $less(X2,X1)
& ( eval_0(recompose(X0,cte(X1))) != eval_0(recompose(X3,cte($sum(X2,$uminus(X1))))) )
& ( X0 = right(X2,X3) ) )
& ~ $less(X1,0) ),
inference(flattening,[],[f156]) ).
tff(f158,plain,
( ! [X1: expr,X0: expr] :
( ! [X2: $int] :
( ( ! [X3: $int] :
( ( ( ( underflow = eval_0(sub(X1,X0)) )
| ~ $less(X2,X3) )
& ( $less(X2,X3)
| ( eval_0(sub(X1,X0)) = vnum($sum(X2,$uminus(X3))) ) ) )
| ( vnum(X3) != eval_0(X0) ) )
& ( ( underflow = eval_0(sub(X1,X0)) )
| ( underflow != eval_0(X0) ) ) )
| ( vnum(X2) != eval_0(X1) ) )
& ( ( underflow = eval_0(sub(X1,X0)) )
| ( underflow != eval_0(X1) ) ) )
& ! [X4: $int] :
( ( $less(X4,0)
| ( vnum(X4) = eval_0(cte(X4)) ) )
& ( ~ $less(X4,0)
| ( underflow = eval_0(cte(X4)) ) ) ) ),
inference(ennf_transformation,[],[f151]) ).
tff(f159,plain,
! [X0: expr] :
( ! [X1: context,X2: expr] : ( recompose(left(X1,X2),X0) = recompose(X1,sub(X0,X2)) )
& ! [X3: context,X4: $int] : ( recompose(right(X4,X3),X0) = recompose(X3,sub(cte(X4),X0)) )
& ( recompose(empty,X0) = X0 ) ),
inference(rectify,[],[f150]) ).
tff(f160,plain,
( ! [X0: expr,X1: expr] :
( ! [X2: $int] :
( ( ! [X3: $int] :
( ( ( ( underflow = eval_0(sub(X0,X1)) )
| ~ $less(X2,X3) )
& ( $less(X2,X3)
| ( eval_0(sub(X0,X1)) = vnum($sum(X2,$uminus(X3))) ) ) )
| ( vnum(X3) != eval_0(X1) ) )
& ( ( underflow = eval_0(sub(X0,X1)) )
| ( underflow != eval_0(X1) ) ) )
| ( eval_0(X0) != vnum(X2) ) )
& ( ( underflow = eval_0(sub(X0,X1)) )
| ( underflow != eval_0(X0) ) ) )
& ! [X4: $int] :
( ( $less(X4,0)
| ( vnum(X4) = eval_0(cte(X4)) ) )
& ( ~ $less(X4,0)
| ( underflow = eval_0(cte(X4)) ) ) ) ),
inference(rectify,[],[f158]) ).
tff(f163,plain,
? [X0: $int,X1: context] :
( ? [X2: $int,X3: context] :
( ~ $less(X2,X0)
& ( eval_0(recompose(X3,cte($sum(X2,$uminus(X0))))) != eval_0(recompose(X1,cte(X0))) )
& ( right(X2,X3) = X1 ) )
& ~ $less(X0,0) ),
inference(rectify,[],[f157]) ).
tff(f164,plain,
( ~ $less(sK2,sK0)
& ( eval_0(recompose(sK3,cte($sum(sK2,$uminus(sK0))))) != eval_0(recompose(sK1,cte(sK0))) )
& ( sK1 = right(sK2,sK3) )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f163]) ).
tff(f167,plain,
! [X2: context,X0: expr,X1: expr] :
( ( eval_0(recompose(X2,X0)) = eval_0(recompose(X2,X1)) )
| ( eval_0(X0) != eval_0(X1) ) ),
inference(cnf_transformation,[],[f154]) ).
tff(f169,plain,
! [X3: context,X0: expr,X4: $int] : ( recompose(right(X4,X3),X0) = recompose(X3,sub(cte(X4),X0)) ),
inference(cnf_transformation,[],[f159]) ).
tff(f172,plain,
! [X4: $int] :
( ( vnum(X4) = eval_0(cte(X4)) )
| $less(X4,0) ),
inference(cnf_transformation,[],[f160]) ).
tff(f175,plain,
! [X2: $int,X3: $int,X0: expr,X1: expr] :
( ( eval_0(sub(X0,X1)) = vnum($sum(X2,$uminus(X3))) )
| ( eval_0(X0) != vnum(X2) )
| ( vnum(X3) != eval_0(X1) )
| $less(X2,X3) ),
inference(cnf_transformation,[],[f160]) ).
tff(f181,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f164]) ).
tff(f182,plain,
sK1 = right(sK2,sK3),
inference(cnf_transformation,[],[f164]) ).
tff(f183,plain,
eval_0(recompose(sK3,cte($sum(sK2,$uminus(sK0))))) != eval_0(recompose(sK1,cte(sK0))),
inference(cnf_transformation,[],[f164]) ).
tff(f184,plain,
~ $less(sK2,sK0),
inference(cnf_transformation,[],[f164]) ).
tff(f187,definition,
( spl4_1
<=> ( eval_0(recompose(sK3,cte($sum(sK2,$uminus(sK0))))) = eval_0(recompose(sK1,cte(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f189,plain,
( ( eval_0(recompose(sK3,cte($sum(sK2,$uminus(sK0))))) != eval_0(recompose(sK1,cte(sK0))) )
| spl4_1 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f190,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f183,f187]) ).
tff(f192,definition,
( spl4_2
<=> $less(sK0,0) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f194,plain,
( ~ $less(sK0,0)
| spl4_2 ),
inference(avatar_component_clause,[],[f192]) ).
tff(f195,plain,
~ spl4_2,
inference(avatar_split_clause,[],[f181,f192]) ).
tff(f197,definition,
( spl4_3
<=> $less(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
tff(f199,plain,
( ~ $less(sK2,sK0)
| spl4_3 ),
inference(avatar_component_clause,[],[f197]) ).
tff(f200,plain,
~ spl4_3,
inference(avatar_split_clause,[],[f184,f197]) ).
tff(f202,definition,
( spl4_4
<=> ( sK1 = right(sK2,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
tff(f204,plain,
( ( sK1 = right(sK2,sK3) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f202]) ).
tff(f205,plain,
spl4_4,
inference(avatar_split_clause,[],[f182,f202]) ).
tff(f206,plain,
( ( vnum(sK0) = eval_0(cte(sK0)) )
| spl4_2 ),
inference(unit_resulting_resolution,[],[f172,f194]) ).
tff(f208,definition,
( spl4_5
<=> ( vnum(sK0) = eval_0(cte(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
tff(f210,plain,
( ( vnum(sK0) = eval_0(cte(sK0)) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f208]) ).
tff(f211,plain,
( spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f206,f192,f208]) ).
tff(f214,plain,
( ! [X0: expr] : ( recompose(sK1,X0) = recompose(sK3,sub(cte(sK2),X0)) )
| ~ spl4_4 ),
inference(superposition,[],[f169,f204]) ).
tff(f246,plain,
( ! [X0: expr,X1: expr] :
( ( eval_0(recompose(sK3,X1)) = eval_0(recompose(sK1,X0)) )
| ( eval_0(X1) != eval_0(sub(cte(sK2),X0)) ) )
| ~ spl4_4 ),
inference(superposition,[],[f167,f214]) ).
tff(f288,definition,
( spl4_12
<=> $less(sK2,0) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
tff(f290,plain,
( ~ $less(sK2,0)
| spl4_12 ),
inference(avatar_component_clause,[],[f288]) ).
tff(f292,plain,
( ( eval_0(cte($sum(sK2,$uminus(sK0)))) != eval_0(sub(cte(sK2),cte(sK0))) )
| spl4_1
| ~ spl4_4 ),
inference(unit_resulting_resolution,[],[f246,f189]) ).
tff(f316,definition,
( spl4_13
<=> ( eval_0(cte($sum(sK2,$uminus(sK0)))) = eval_0(sub(cte(sK2),cte(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
tff(f319,plain,
( ~ spl4_13
| spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f292,f202,f187,f316]) ).
tff(f320,plain,
( ( eval_0(cte(sK2)) = vnum(sK2) )
| spl4_12 ),
inference(unit_resulting_resolution,[],[f172,f290]) ).
tff(f322,definition,
( spl4_14
<=> ( eval_0(cte(sK2)) = vnum(sK2) ) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
tff(f324,plain,
( ( eval_0(cte(sK2)) = vnum(sK2) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f325,plain,
( spl4_14
| spl4_12 ),
inference(avatar_split_clause,[],[f320,f288,f322]) ).
tff(f333,definition,
( spl4_15
<=> $less($sum(sK2,$uminus(sK0)),0) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
tff(f334,plain,
( ~ $less($sum(sK2,$uminus(sK0)),0)
| spl4_15 ),
inference(avatar_component_clause,[],[f333]) ).
tff(f358,plain,
( ( eval_0(cte($sum(sK2,$uminus(sK0)))) = vnum($sum(sK2,$uminus(sK0))) )
| spl4_15 ),
inference(unit_resulting_resolution,[],[f172,f334]) ).
tff(f360,definition,
( spl4_21
<=> ( eval_0(cte($sum(sK2,$uminus(sK0)))) = vnum($sum(sK2,$uminus(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
tff(f363,plain,
( spl4_21
| spl4_15 ),
inference(avatar_split_clause,[],[f358,f333,f360]) ).
tff(f368,plain,
( ( eval_0(sub(cte(sK2),cte(sK0))) = vnum($sum(sK2,$uminus(sK0))) )
| spl4_3
| ~ spl4_5
| ~ spl4_14 ),
inference(unit_resulting_resolution,[],[f175,f199,f210,f324]) ).
tff(f373,definition,
( spl4_22
<=> ( eval_0(sub(cte(sK2),cte(sK0))) = vnum($sum(sK2,$uminus(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
tff(f376,plain,
( spl4_22
| spl4_3
| ~ spl4_5
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f368,f322,f208,f197,f373]) ).
tff(f377,plain,
$false,
inference(avatar_smt_refutation,[],[f376,f363,f325,f319,f211,f205,f200,f195,f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW585_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n010.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:20:32 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 4.92/1.53 % (1951430)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.92/1.53 % (1951551)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4006137359:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.92/1.53 % (1951557)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=65484335:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.92/1.53 % (1951548)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2877708927:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.92/1.53 % (1951553)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3187308846:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.92/1.53 % (1951549)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1300399193:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.92/1.53 % (1951556)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1816926016:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.92/1.53 % (1951553)Instruction limit reached!
% 4.92/1.53 % (1951553)------------------------------
% 4.92/1.53 % (1951553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.53 % (1951553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.53 % (1951553)CaDiCaL version: 2.1.3
% 4.92/1.53 % (1951553)Termination reason: Instruction limit
% 4.92/1.53 % (1951553)Termination phase: Property scanning
% 4.92/1.53 % (1951553)Time elapsed: 0.009 s
% 4.92/1.53 % (1951553)Peak memory usage: 86 MB
% 4.92/1.53 % (1951553)Instructions burned: 8 (million)
% 4.92/1.53 % (1951548)Instruction limit reached!
% 4.92/1.53 % (1951548)------------------------------
% 4.92/1.53 % (1951548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.53 % (1951548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.53 % (1951548)CaDiCaL version: 2.1.3
% 4.92/1.53 % (1951548)Termination reason: Instruction limit
% 4.92/1.53 % (1951548)Termination phase: Saturation
% 4.92/1.53 % (1951548)Time elapsed: 0.037 s
% 4.92/1.53 % (1951548)Peak memory usage: 112 MB
% 4.92/1.53 % (1951548)Instructions burned: 12 (million)
% 4.92/1.53 % (1951557)Instruction limit reached!
% 4.92/1.53 % (1951557)------------------------------
% 4.92/1.53 % (1951557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.53 % (1951557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.53 % (1951557)CaDiCaL version: 2.1.3
% 4.92/1.53 % (1951557)Termination reason: Instruction limit
% 4.92/1.53 % (1951557)Termination phase: Saturation
% 4.92/1.53 % (1951557)Time elapsed: 0.065 s
% 4.92/1.53 % (1951557)Peak memory usage: 116 MB
% 4.92/1.53 % (1951557)Instructions burned: 33 (million)
% 4.92/1.53 % (1951554)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1610901189:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.92/1.53 % (1951554)Instruction limit reached!
% 4.92/1.53 % (1951554)------------------------------
% 4.92/1.53 % (1951554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.53 % (1951554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.53 % (1951554)CaDiCaL version: 2.1.3
% 4.92/1.53 % (1951554)Termination reason: Instruction limit
% 4.92/1.53 % (1951554)Termination phase: shuffling
% 4.92/1.53 % (1951554)Time elapsed: 0.005 s
% 4.92/1.53 % (1951554)Peak memory usage: 86 MB
% 4.92/1.53 % (1951554)Instructions burned: 4 (million)
% 4.92/1.53 % (1951556)Instruction limit reached!
% 4.92/1.53 % (1951556)------------------------------
% 4.92/1.53 % (1951556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.53 % (1951556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.53 % (1951556)CaDiCaL version: 2.1.3
% 4.92/1.53 % (1951556)Termination reason: Instruction limit
% 4.92/1.53 % (1951556)Termination phase: Saturation
% 4.92/1.53 % (1951556)Time elapsed: 0.080 s
% 4.92/1.53 % (1951556)Peak memory usage: 116 MB
% 4.92/1.53 % (1951556)Instructions burned: 46 (million)
% 4.92/1.53 % (1951551)Instruction limit reached!
% 4.92/1.53 % (1951551)------------------------------
% 4.92/1.53 % (1951551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.53 % (1951551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.80 % (1951551)CaDiCaL version: 2.1.3
% 7.13/1.80 % (1951551)Termination reason: Instruction limit
% 7.13/1.80 % (1951551)Termination phase: Saturation
% 7.13/1.80 % (1951551)Time elapsed: 0.186 s
% 7.13/1.80 % (1951551)Peak memory usage: 120 MB
% 7.13/1.80 % (1951551)Instructions burned: 203 (million)
% 7.13/1.80 % (1951599)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=305056003:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 7.13/1.80 % (1951604)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=1408314654:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 7.13/1.80 % (1951599)Instruction limit reached!
% 7.13/1.80 % (1951599)------------------------------
% 7.13/1.80 % (1951599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.80 % (1951599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.80 % (1951599)CaDiCaL version: 2.1.3
% 7.13/1.80 % (1951599)Termination reason: Instruction limit
% 7.13/1.80 % (1951599)Termination phase: Saturation
% 7.13/1.80 % (1951599)Time elapsed: 0.016 s
% 7.13/1.80 % (1951599)Peak memory usage: 88 MB
% 7.13/1.80 % (1951599)Instructions burned: 14 (million)
% 7.13/1.80 % (1951604)Instruction limit reached!
% 7.13/1.80 % (1951604)------------------------------
% 7.13/1.80 % (1951604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.80 % (1951604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.80 % (1951604)CaDiCaL version: 2.1.3
% 7.13/1.80 % (1951604)Termination reason: Instruction limit
% 7.13/1.80 % (1951604)Termination phase: Saturation
% 7.13/1.80 % (1951604)Time elapsed: 0.025 s
% 7.13/1.80 % (1951604)Peak memory usage: 88 MB
% 7.13/1.80 % (1951604)Instructions burned: 29 (million)
% 7.13/1.80 % (1951608)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1146429784:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 7.13/1.80 % (1951615)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1783466116:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 7.13/1.80 % (1951608)Instruction limit reached!
% 7.13/1.80 % (1951608)------------------------------
% 7.13/1.80 % (1951608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.80 % (1951608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.80 % (1951608)CaDiCaL version: 2.1.3
% 7.13/1.80 % (1951608)Termination reason: Instruction limit
% 7.13/1.80 % (1951608)Termination phase: Saturation
% 7.13/1.80 % (1951608)Time elapsed: 0.018 s
% 7.13/1.80 % (1951608)Peak memory usage: 89 MB
% 7.13/1.80 % (1951608)Instructions burned: 17 (million)
% 7.13/1.80 % (1951610)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=930696233:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 7.13/1.80 % (1951612)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=1363861370:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.13/1.80 % (1951610)Instruction limit reached!
% 7.13/1.80 % (1951610)------------------------------
% 7.13/1.80 % (1951610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.80 % (1951610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.80 % (1951610)CaDiCaL version: 2.1.3
% 7.13/1.80 % (1951610)Termination reason: Instruction limit
% 7.13/1.80 % (1951610)Termination phase: Saturation
% 7.13/1.80 % (1951610)Time elapsed: 0.028 s
% 7.13/1.80 % (1951610)Peak memory usage: 89 MB
% 7.13/1.80 % (1951610)Instructions burned: 24 (million)
% 7.13/1.80 % (1951612)Instruction limit reached!
% 7.13/1.80 % (1951612)------------------------------
% 7.13/1.80 % (1951612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.80 % (1951612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.80 % (1951612)CaDiCaL version: 2.1.3
% 7.13/1.80 % (1951612)Termination reason: Instruction limit
% 7.13/1.80 % (1951612)Termination phase: Saturation
% 7.13/1.80 % (1951612)Time elapsed: 0.028 s
% 7.13/1.80 % (1951612)Peak memory usage: 89 MB
% 7.13/1.80 % (1951612)Instructions burned: 27 (million)
% 7.13/1.80 % (1951549)Instruction limit reached!
% 7.13/1.80 % (1951549)------------------------------
% 7.13/1.80 % (1951549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.07 % (1951549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.07 % (1951549)CaDiCaL version: 2.1.3
% 9.71/2.07 % (1951549)Termination reason: Instruction limit
% 9.71/2.07 % (1951549)Termination phase: Saturation
% 9.71/2.07 % (1951549)Time elapsed: 0.352 s
% 9.71/2.07 % (1951549)Peak memory usage: 118 MB
% 9.71/2.07 % (1951549)Instructions burned: 307 (million)
% 9.71/2.07 % (1951615)Instruction limit reached!
% 9.71/2.07 % (1951615)------------------------------
% 9.71/2.07 % (1951615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.07 % (1951615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.07 % (1951615)CaDiCaL version: 2.1.3
% 9.71/2.07 % (1951615)Termination reason: Instruction limit
% 9.71/2.07 % (1951615)Termination phase: Saturation
% 9.71/2.07 % (1951615)Time elapsed: 0.047 s
% 9.71/2.07 % (1951615)Peak memory usage: 90 MB
% 9.71/2.07 % (1951615)Instructions burned: 86 (million)
% 9.71/2.07 % (1951621)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2247756755:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 9.71/2.07 % (1951621)Instruction limit reached!
% 9.71/2.07 % (1951621)------------------------------
% 9.71/2.07 % (1951621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.07 % (1951621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.07 % (1951621)CaDiCaL version: 2.1.3
% 9.71/2.07 % (1951621)Termination reason: Instruction limit
% 9.71/2.07 % (1951621)Termination phase: Preprocessing 1
% 9.71/2.07 % (1951621)Time elapsed: 0.002 s
% 9.71/2.07 % (1951621)Peak memory usage: 86 MB
% 9.71/2.07 % (1951621)Instructions burned: 3 (million)
% 9.71/2.07 % (1951622)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=547121181:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.71/2.07 % (1951631)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3621867763:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 9.71/2.07 % (1951631)Instruction limit reached!
% 9.71/2.07 % (1951631)------------------------------
% 9.71/2.07 % (1951631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.07 % (1951631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.07 % (1951631)CaDiCaL version: 2.1.3
% 9.71/2.07 % (1951631)Termination reason: Instruction limit
% 9.71/2.07 % (1951631)Termination phase: Preprocessing 1
% 9.71/2.07 % (1951631)Time elapsed: 0.002 s
% 9.71/2.07 % (1951631)Peak memory usage: 85 MB
% 9.71/2.07 % (1951631)Instructions burned: 2 (million)
% 9.71/2.07 % (1951627)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1628915702:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.71/2.07 % (1951627)Instruction limit reached!
% 9.71/2.07 % (1951627)------------------------------
% 9.71/2.07 % (1951627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.07 % (1951627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.07 % (1951627)CaDiCaL version: 2.1.3
% 9.71/2.07 % (1951627)Termination reason: Instruction limit
% 9.71/2.07 % (1951627)Termination phase: Naming
% 9.71/2.07 % (1951627)Time elapsed: 0.005 s
% 9.71/2.07 % (1951627)Peak memory usage: 86 MB
% 9.71/2.07 % (1951627)Instructions burned: 4 (million)
% 9.71/2.07 % (1951630)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=2933508170:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 9.71/2.07 % (1951629)lrs+10_1_thi=all:si=on:fd=off:random_seed=2601513821:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 9.71/2.07 % (1951630)Instruction limit reached!
% 9.71/2.07 % (1951630)------------------------------
% 9.71/2.07 % (1951630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.07 % (1951630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.07 % (1951630)CaDiCaL version: 2.1.3
% 9.71/2.07 % (1951630)Termination reason: Instruction limit
% 9.71/2.07 % (1951630)Termination phase: Preprocessing 3
% 9.71/2.07 % (1951630)Time elapsed: 0.008 s
% 9.71/2.07 % (1951630)Peak memory usage: 86 MB
% 9.71/2.07 % (1951630)Instructions burned: 8 (million)
% 9.71/2.07 % (1951628)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2125811882:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 10.73/2.25 % (1951629)Instruction limit reached!
% 10.73/2.25 % (1951629)------------------------------
% 10.73/2.25 % (1951629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951629)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951629)Termination reason: Instruction limit
% 10.73/2.25 % (1951629)Termination phase: Saturation
% 10.73/2.25 % (1951629)Time elapsed: 0.089 s
% 10.73/2.25 % (1951629)Peak memory usage: 118 MB
% 10.73/2.25 % (1951629)Instructions burned: 53 (million)
% 10.73/2.25 % (1951622)Instruction limit reached!
% 10.73/2.25 % (1951622)------------------------------
% 10.73/2.25 % (1951622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951622)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951622)Termination reason: Instruction limit
% 10.73/2.25 % (1951622)Termination phase: Saturation
% 10.73/2.25 % (1951622)Time elapsed: 0.187 s
% 10.73/2.25 % (1951622)Peak memory usage: 91 MB
% 10.73/2.25 % (1951622)Instructions burned: 182 (million)
% 10.73/2.25 % (1951640)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3788505916:i=127:doe=on:rtra=on_2992 on theBenchmark for (2992ds/127Mi)
% 10.73/2.25 % (1951635)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1944932985:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 10.73/2.25 % (1951635)Instruction limit reached!
% 10.73/2.25 % (1951635)------------------------------
% 10.73/2.25 % (1951635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951635)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951635)Termination reason: Instruction limit
% 10.73/2.25 % (1951635)Termination phase: Property scanning
% 10.73/2.25 % (1951635)Time elapsed: 0.003 s
% 10.73/2.25 % (1951635)Peak memory usage: 85 MB
% 10.73/2.25 % (1951635)Instructions burned: 2 (million)
% 10.73/2.25 % (1951628)Instruction limit reached!
% 10.73/2.25 % (1951628)------------------------------
% 10.73/2.25 % (1951628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951628)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951628)Termination reason: Instruction limit
% 10.73/2.25 % (1951628)Termination phase: Saturation
% 10.73/2.25 % (1951628)Time elapsed: 0.134 s
% 10.73/2.25 % (1951628)Peak memory usage: 135 MB
% 10.73/2.25 % (1951628)Instructions burned: 66 (million)
% 10.73/2.25 % (1951642)dis+10_1_si=on:random_seed=855295821:i=10:ep=R:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 10.73/2.25 % (1951642)Instruction limit reached!
% 10.73/2.25 % (1951642)------------------------------
% 10.73/2.25 % (1951642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951642)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951642)Termination reason: Instruction limit
% 10.73/2.25 % (1951642)Termination phase: Property scanning
% 10.73/2.25 % (1951642)Time elapsed: 0.011 s
% 10.73/2.25 % (1951642)Peak memory usage: 86 MB
% 10.73/2.25 % (1951642)Instructions burned: 10 (million)
% 10.73/2.25 % (1951640)Instruction limit reached!
% 10.73/2.25 % (1951640)------------------------------
% 10.73/2.25 % (1951640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951640)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951640)Termination reason: Instruction limit
% 10.73/2.25 % (1951640)Termination phase: Saturation
% 10.73/2.25 % (1951640)Time elapsed: 0.103 s
% 10.73/2.25 % (1951640)Peak memory usage: 117 MB
% 10.73/2.25 % (1951640)Instructions burned: 127 (million)
% 10.73/2.25 % (1951651)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2133813069:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 10.73/2.25 % (1951651)Instruction limit reached!
% 10.73/2.25 % (1951651)------------------------------
% 10.73/2.25 % (1951651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951651)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951651)Termination reason: Instruction limit
% 10.73/2.25 % (1951651)Termination phase: Saturation
% 10.73/2.25 % (1951651)Time elapsed: 0.030 s
% 10.73/2.25 % (1951651)Peak memory usage: 89 MB
% 10.73/2.25 % (1951651)Instructions burned: 27 (million)
% 10.73/2.25 % (1951659)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=239344787:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 10.73/2.25 % (1951659)Instruction limit reached!
% 10.73/2.25 % (1951659)------------------------------
% 10.73/2.25 % (1951659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951659)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951659)Termination reason: Instruction limit
% 10.73/2.25 % (1951659)Termination phase: Property scanning
% 10.73/2.25 % (1951659)Time elapsed: 0.002 s
% 10.73/2.25 % (1951659)Peak memory usage: 85 MB
% 10.73/2.25 % (1951659)Instructions burned: 3 (million)
% 10.73/2.25 % (1951657)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=619744586: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_2991 on theBenchmark for (2991ds/35Mi)
% 10.73/2.25 % (1951657)Instruction limit reached!
% 10.73/2.25 % (1951657)------------------------------
% 10.73/2.25 % (1951657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951657)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951657)Termination reason: Instruction limit
% 10.73/2.25 % (1951657)Termination phase: Saturation
% 10.73/2.25 % (1951657)Time elapsed: 0.040 s
% 10.73/2.25 % (1951657)Peak memory usage: 89 MB
% 10.73/2.25 % (1951657)Instructions burned: 35 (million)
% 10.73/2.25 % (1951663)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=641570568:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 10.73/2.25 % (1951663)Instruction limit reached!
% 10.73/2.25 % (1951663)------------------------------
% 10.73/2.25 % (1951663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951663)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951663)Termination reason: Instruction limit
% 10.73/2.25 % (1951663)Termination phase: Function definition elimination
% 10.73/2.25 % (1951663)Time elapsed: 0.010 s
% 10.73/2.25 % (1951663)Peak memory usage: 86 MB
% 10.73/2.25 % (1951663)Instructions burned: 9 (million)
% 10.73/2.25 % (1951664)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1871215659:i=370:ep=RS:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/370Mi)
% 10.73/2.25 % (1951669)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1033945031:i=226:rtra=on:gtg=position:ss=axioms_2989 on theBenchmark for (2989ds/226Mi)
% 10.73/2.25 % (1951666)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2125157929:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 10.73/2.25 % (1951666)Instruction limit reached!
% 10.73/2.25 % (1951666)------------------------------
% 10.73/2.25 % (1951666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951666)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951666)Termination reason: Instruction limit
% 10.73/2.25 % (1951666)Termination phase: Property scanning
% 10.73/2.25 % (1951666)Time elapsed: 0.013 s
% 10.73/2.25 % (1951666)Peak memory usage: 87 MB
% 10.73/2.25 % (1951666)Instructions burned: 13 (million)
% 10.73/2.25 % (1951669)First to succeed.
% 10.73/2.25 % (1951669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1951430"
% 10.73/2.25 % (1951671)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=588605902:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 10.73/2.25 % (1951671)Instruction limit reached!
% 10.73/2.25 % (1951671)------------------------------
% 10.73/2.25 % (1951671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951671)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951671)Termination reason: Instruction limit
% 10.73/2.25 % (1951671)Termination phase: Saturation
% 10.73/2.25 % (1951671)Time elapsed: 0.012 s
% 10.73/2.25 % (1951671)Peak memory usage: 88 MB
% 10.73/2.25 % (1951671)Instructions burned: 10 (million)
% 10.73/2.25 % (1951673)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2037014824:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 10.73/2.25 % (1951675)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=2970084241:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2988 on theBenchmark for (2988ds/75Mi)
% 10.73/2.25 % (1951675)Instruction limit reached!
% 10.73/2.25 % (1951675)------------------------------
% 10.73/2.25 % (1951675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951675)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951675)Termination reason: Instruction limit
% 10.73/2.25 % (1951675)Termination phase: Saturation
% 10.73/2.25 % (1951675)Time elapsed: 0.085 s
% 10.73/2.25 % (1951675)Peak memory usage: 90 MB
% 10.73/2.25 % (1951675)Instructions burned: 75 (million)
% 10.73/2.25 % (1951678)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=4248216811:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 10.73/2.25 % (1951673)Instruction limit reached!
% 10.73/2.25 % (1951673)------------------------------
% 10.73/2.25 % (1951673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.25 % (1951673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.25 % (1951673)CaDiCaL version: 2.1.3
% 10.73/2.25 % (1951673)Termination reason: Instruction limit
% 10.73/2.25 % (1951673)Termination phase: Saturation
% 10.73/2.25 % (1951673)Time elapsed: 0.138 s
% 10.73/2.25 % (1951673)Peak memory usage: 134 MB
% 10.73/2.25 % (1951673)Instructions burned: 71 (million)
% 10.73/2.25 % (1951669)Refutation found. Thanks to Tanya!
% 10.73/2.25 % SZS status Theorem for theBenchmark
% 10.73/2.25 % SZS output start Proof for theBenchmark
% See solution above
% 11.42/2.47 % (1951669)------------------------------
% 11.42/2.47 % (1951669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.47 % (1951669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.47 % (1951669)CaDiCaL version: 2.1.3
% 11.42/2.47 % (1951669)Termination reason: Refutation
% 11.42/2.47 % (1951669)Time elapsed: 0.044 s
% 11.42/2.47 % (1951669)Peak memory usage: 117 MB
% 11.42/2.47 % (1951669)Instructions burned: 36 (million)
% 11.42/2.47 % (1951669)------------------------------
% 11.42/2.47 % (1951669)------------------------------
% 11.42/2.47 % (1951430)Success in time 1.551 s
% 11.42/2.47 % Vampire exiting
%------------------------------------------------------------------------------