%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW642_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 : n005.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 01:31:01 PM UTC 2026
% Result : Theorem 4.73s 1.50s
% Output : Refutation 6.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 36
% Syntax : Number of formulae : 115 ( 33 unt; 0 typ; 33 def)
% Number of atoms : 378 ( 187 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 395 ( 132 ~; 141 |; 64 &)
% ( 24 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 409 ( 91 atm; 111 fun; 153 num; 54 var)
% Number of types : 6 ( 4 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 30 ( 26 usr; 25 prp; 0-2 aty)
% Number of functors : 38 ( 31 usr; 27 con; 0-4 aty)
% Number of variables : 54 ( 33 !; 21 ?; 54 :)
% 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(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,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_18,type,
fact1: $int > $int ).
tff(func_def_21,type,
sK0: $int ).
tff(func_def_22,type,
sK1: $int ).
tff(func_def_23,type,
sK2: $int ).
tff(func_def_24,type,
sK3: $int ).
tff(func_def_25,type,
sK4: $int ).
tff(func_def_26,type,
sK5: $int ).
tff(func_def_27,type,
sK6: $int ).
tff(func_def_28,type,
sK7: $int > $int ).
tff(func_def_29,type,
sF8: $int ).
tff(func_def_30,type,
sF9: $int ).
tff(func_def_31,type,
sF10: $int ).
tff(func_def_32,type,
sF11: $int ).
tff(func_def_33,type,
sF12: $int ).
tff(func_def_34,type,
sF13: $int ).
tff(func_def_35,type,
sF14: $int ).
tff(func_def_36,type,
sF15: $int ).
tff(func_def_37,type,
sF16: $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
even1: $int > $o ).
tff(f17,axiom,
fact1(0) = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0) ).
tff(f18,axiom,
! [X0: $int] :
( $less(0,X0)
=> ( fact1(X0) = $product(X0,fact1($difference(X0,1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n) ).
tff(f19,conjecture,
! [X0: $int] :
( $lesseq(0,X0)
=> ! [X1: $int] :
( ( X1 = 1 )
=> ! [X2: $int] :
( ( X2 = X0 )
=> ( ( $product(X1,fact1(X2)) = fact1(X0) )
& ! [X4: $int,X3: $int] :
( ( $lesseq(0,X3)
& ( $product(X4,fact1(X3)) = fact1(X0) ) )
=> ( ( ( X3 = 0 )
=> ( X4 = fact1(X0) ) )
& ( ( X3 != 0 )
=> ! [X5: $int] :
( ( X5 = $product(X4,X3) )
=> ! [X6: $int] :
( ( X6 = $difference(X3,1) )
=> ( $lesseq(0,X6)
& $less(X6,X3)
& ( $product(X5,fact1(X6)) = fact1(X0) )
& $lesseq(0,X3) ) ) ) ) ) )
& $lesseq(0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_factorial) ).
tff(f20,negated_conjecture,
~ ! [X0: $int] :
( $lesseq(0,X0)
=> ! [X1: $int] :
( ( X1 = 1 )
=> ! [X2: $int] :
( ( X2 = X0 )
=> ( ( $product(X1,fact1(X2)) = fact1(X0) )
& ! [X4: $int,X3: $int] :
( ( $lesseq(0,X3)
& ( $product(X4,fact1(X3)) = fact1(X0) ) )
=> ( ( ( X3 = 0 )
=> ( X4 = fact1(X0) ) )
& ( ( X3 != 0 )
=> ! [X5: $int] :
( ( X5 = $product(X4,X3) )
=> ! [X6: $int] :
( ( X6 = $difference(X3,1) )
=> ( $lesseq(0,X6)
& $less(X6,X3)
& ( $product(X5,fact1(X6)) = fact1(X0) )
& $lesseq(0,X3) ) ) ) ) ) )
& $lesseq(0,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
tff(f21,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ! [X1: $int] :
( ( X1 = 1 )
=> ! [X2: $int] :
( ( X2 = X0 )
=> ( ( $product(X1,fact1(X2)) = fact1(X0) )
& ! [X4: $int,X3: $int] :
( ( ~ $less(X3,0)
& ( $product(X4,fact1(X3)) = fact1(X0) ) )
=> ( ( ( X3 = 0 )
=> ( X4 = fact1(X0) ) )
& ( ( X3 != 0 )
=> ! [X5: $int] :
( ( X5 = $product(X4,X3) )
=> ! [X6: $int] :
( ( $sum(X3,$uminus(1)) = X6 )
=> ( ~ $less(X6,0)
& $less(X6,X3)
& ( $product(X5,fact1(X6)) = fact1(X0) )
& ~ $less(X3,0) ) ) ) ) ) )
& ~ $less(X2,0) ) ) ) ),
inference(theory_normalization,[],[f20]) ).
tff(f22,plain,
! [X0: $int] :
( $less(0,X0)
=> ( fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))) ) ),
inference(theory_normalization,[],[f18]) ).
tff(f26,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ! [X1: $int] :
( ( X1 = 1 )
=> ! [X2: $int] :
( ( X2 = X0 )
=> ( ~ $less(X2,0)
& ( $product(X1,fact1(X2)) = fact1(X0) )
& ! [X4: $int,X3: $int] :
( ( ( fact1(X0) = $product(X3,fact1(X4)) )
& ~ $less(X4,0) )
=> ( ( ( 0 = X4 )
=> ( fact1(X0) = X3 ) )
& ( ( 0 != X4 )
=> ! [X5: $int] :
( ( $product(X3,X4) = X5 )
=> ! [X6: $int] :
( ( $sum(X4,$uminus(1)) = X6 )
=> ( ~ $less(X4,0)
& ~ $less(X6,0)
& ( $product(X5,fact1(X6)) = fact1(X0) )
& $less(X6,X4) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f21]) ).
tff(f36,plain,
? [X0: $int] :
( ? [X1: $int] :
( ? [X2: $int] :
( ( $less(X2,0)
| ( fact1(X0) != $product(X1,fact1(X2)) )
| ? [X4: $int,X3: $int] :
( ( ( ( fact1(X0) != X3 )
& ( 0 = X4 ) )
| ( ( 0 != X4 )
& ? [X5: $int] :
( ? [X6: $int] :
( ( $less(X4,0)
| $less(X6,0)
| ( fact1(X0) != $product(X5,fact1(X6)) )
| ~ $less(X6,X4) )
& ( $sum(X4,$uminus(1)) = X6 ) )
& ( $product(X3,X4) = X5 ) ) ) )
& ( fact1(X0) = $product(X3,fact1(X4)) )
& ~ $less(X4,0) ) )
& ( X2 = X0 ) )
& ( X1 = 1 ) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f26]) ).
tff(f37,plain,
? [X0: $int] :
( ? [X1: $int] :
( ? [X2: $int] :
( ( ( fact1(X0) != $product(X1,fact1(X2)) )
| $less(X2,0)
| ? [X4: $int,X3: $int] :
( ( fact1(X0) = $product(X3,fact1(X4)) )
& ~ $less(X4,0)
& ( ( ( fact1(X0) != X3 )
& ( 0 = X4 ) )
| ( ( 0 != X4 )
& ? [X5: $int] :
( ? [X6: $int] :
( ( $less(X4,0)
| $less(X6,0)
| ( fact1(X0) != $product(X5,fact1(X6)) )
| ~ $less(X6,X4) )
& ( $sum(X4,$uminus(1)) = X6 ) )
& ( $product(X3,X4) = X5 ) ) ) ) ) )
& ( X2 = X0 ) )
& ( X1 = 1 ) )
& ~ $less(X0,0) ),
inference(flattening,[],[f36]) ).
tff(f47,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ( fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))) ) ),
inference(ennf_transformation,[],[f22]) ).
tff(f48,plain,
? [X0: $int] :
( ? [X1: $int] :
( ? [X2: $int] :
( ( ( fact1(X0) != $product(X1,fact1(X2)) )
| $less(X2,0)
| ? [X3: $int,X4: $int] :
( ( fact1(X0) = $product(X4,fact1(X3)) )
& ~ $less(X3,0)
& ( ( ( fact1(X0) != X4 )
& ( 0 = X3 ) )
| ( ( 0 != X3 )
& ? [X5: $int] :
( ? [X6: $int] :
( ( $less(X3,0)
| $less(X6,0)
| ( fact1(X0) != $product(X5,fact1(X6)) )
| ~ $less(X6,X3) )
& ( $sum(X3,$uminus(1)) = X6 ) )
& ( $product(X4,X3) = X5 ) ) ) ) ) )
& ( X2 = X0 ) )
& ( X1 = 1 ) )
& ~ $less(X0,0) ),
inference(rectify,[],[f37]) ).
tff(f49,plain,
( ( ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| $less(sK2,0)
| ( ( $product(sK4,fact1(sK3)) = fact1(sK0) )
& ~ $less(sK3,0)
& ( ( ( sK4 != fact1(sK0) )
& ( 0 = sK3 ) )
| ( ( 0 != sK3 )
& ( $less(sK3,0)
| $less(sK6,0)
| ( $product(sK5,fact1(sK6)) != fact1(sK0) )
| ~ $less(sK6,sK3) )
& ( $sum(sK3,$uminus(1)) = sK6 )
& ( sK5 = $product(sK4,sK3) ) ) ) ) )
& ( sK2 = sK0 )
& ( 1 = sK1 )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f48]) ).
tff(f59,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f49]) ).
tff(f60,plain,
1 = sK1,
inference(cnf_transformation,[],[f49]) ).
tff(f61,plain,
sK2 = sK0,
inference(cnf_transformation,[],[f49]) ).
tff(f62,plain,
( ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| $less(sK2,0)
| ( 0 = sK3 )
| ( sK5 = $product(sK4,sK3) ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f63,plain,
( ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| $less(sK2,0)
| ( 0 = sK3 )
| ( $sum(sK3,$uminus(1)) = sK6 ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f64,plain,
( ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| $less(sK2,0)
| ( 0 = sK3 )
| $less(sK3,0)
| $less(sK6,0)
| ( $product(sK5,fact1(sK6)) != fact1(sK0) )
| ~ $less(sK6,sK3) ),
inference(cnf_transformation,[],[f49]) ).
tff(f69,plain,
( ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| $less(sK2,0)
| ( sK4 != fact1(sK0) )
| ( 0 != sK3 ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f70,plain,
( ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| $less(sK2,0)
| ~ $less(sK3,0) ),
inference(cnf_transformation,[],[f49]) ).
tff(f71,plain,
( ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| $less(sK2,0)
| ( $product(sK4,fact1(sK3)) = fact1(sK0) ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f75,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ( fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))) ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f76,plain,
1 = fact1(0),
inference(cnf_transformation,[],[f17]) ).
tff(f91,plain,
( ( fact1(sK0) != $product(1,fact1(sK0)) )
| $less(sK0,0)
| ( $product(sK4,fact1(sK3)) = fact1(sK0) ) ),
inference(definition_unfolding,[],[f71,f60,f61,f61]) ).
tff(f92,plain,
( ( fact1(sK0) != $product(1,fact1(sK0)) )
| $less(sK0,0)
| ~ $less(sK3,0) ),
inference(definition_unfolding,[],[f70,f60,f61,f61]) ).
tff(f93,plain,
( ( fact1(sK0) != $product(1,fact1(sK0)) )
| $less(sK0,0)
| ( sK4 != fact1(sK0) )
| ( 0 != sK3 ) ),
inference(definition_unfolding,[],[f69,f60,f61,f61]) ).
tff(f98,plain,
( ( fact1(sK0) != $product(1,fact1(sK0)) )
| $less(sK0,0)
| ( 0 = sK3 )
| $less(sK3,0)
| $less(sK6,0)
| ( $product(sK5,fact1(sK6)) != fact1(sK0) )
| ~ $less(sK6,sK3) ),
inference(definition_unfolding,[],[f64,f60,f61,f61]) ).
tff(f99,plain,
( ( fact1(sK0) != $product(1,fact1(sK0)) )
| $less(sK0,0)
| ( 0 = sK3 )
| ( $sum(sK3,$uminus(1)) = sK6 ) ),
inference(definition_unfolding,[],[f63,f60,f61,f61]) ).
tff(f100,plain,
( ( fact1(sK0) != $product(1,fact1(sK0)) )
| $less(sK0,0)
| ( 0 = sK3 )
| ( sK5 = $product(sK4,sK3) ) ),
inference(definition_unfolding,[],[f62,f60,f61,f61]) ).
tff(f101,definition,
sF8 = fact1(sK0),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
tff(f102,plain,
fact1(sK0) = sF8,
inference(reorient_equations,[],[f101]) ).
tff(f103,definition,
sF9 = $product(1,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
tff(f104,plain,
$product(1,sF8) = sF9,
inference(reorient_equations,[],[f103]) ).
tff(f105,definition,
sF10 = fact1(sK3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
tff(f106,definition,
sF11 = $product(sK4,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
tff(f107,plain,
$product(sK4,sF10) = sF11,
inference(reorient_equations,[],[f106]) ).
tff(f108,plain,
( $less(sK0,0)
| ( sF8 = sF11 )
| ( sF8 != sF9 ) ),
inference(definition_folding,[],[f91,f102,f107,f105,f104,f102,f102]) ).
tff(f109,plain,
( $less(sK0,0)
| ( sF8 != sF9 )
| ~ $less(sK3,0) ),
inference(definition_folding,[],[f92,f104,f102,f102]) ).
tff(f110,plain,
( ( sK4 != sF8 )
| ( sF8 != sF9 )
| $less(sK0,0)
| ( 0 != sK3 ) ),
inference(definition_folding,[],[f93,f102,f104,f102,f102]) ).
tff(f111,definition,
sF12 = fact1(sK6),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
tff(f112,definition,
sF13 = $product(sK5,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
tff(f113,plain,
$product(sK5,sF12) = sF13,
inference(reorient_equations,[],[f112]) ).
tff(f115,definition,
sF14 = $uminus(1),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
tff(f116,definition,
sF15 = $sum(sK3,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
tff(f117,plain,
$sum(sK3,sF14) = sF15,
inference(reorient_equations,[],[f116]) ).
tff(f119,definition,
sF16 = $product(sK4,sK3),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
tff(f120,plain,
$product(sK4,sK3) = sF16,
inference(reorient_equations,[],[f119]) ).
tff(f123,plain,
( $less(sK0,0)
| $less(sK3,0)
| ( sF8 != sF9 )
| ( sF8 != sF13 )
| ( 0 = sK3 )
| $less(sK6,0)
| ~ $less(sK6,sK3) ),
inference(definition_folding,[],[f98,f102,f113,f111,f104,f102,f102]) ).
tff(f124,plain,
( $less(sK0,0)
| ( sF8 != sF9 )
| ( 0 = sK3 )
| ( sF15 = sK6 ) ),
inference(definition_folding,[],[f99,f117,f115,f104,f102,f102]) ).
tff(f125,plain,
( $less(sK0,0)
| ( sK5 = sF16 )
| ( 0 = sK3 )
| ( sF8 != sF9 ) ),
inference(definition_folding,[],[f100,f120,f104,f102,f102]) ).
tff(f126,plain,
sF8 = sF9,
inference(evaluation,[],[f104]) ).
tff(f127,plain,
sF14 = -1,
inference(evaluation,[],[f115]) ).
tff(f128,plain,
! [X0: $int] :
( ( fact1(X0) = $product(X0,fact1($sum(X0,-1))) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f75]) ).
tff(f130,definition,
( spl17_1
<=> $less(sK0,0) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
tff(f133,plain,
~ spl17_1,
inference(avatar_split_clause,[],[f59,f130]) ).
tff(f135,definition,
( spl17_2
<=> ( sK4 = sF8 ) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
tff(f139,definition,
( spl17_3
<=> ( sK5 = sF16 ) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
tff(f141,plain,
( ( sK5 = sF16 )
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f143,definition,
( spl17_4
<=> ( sF8 = sF9 ) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
tff(f147,plain,
spl17_4,
inference(avatar_split_clause,[],[f126,f143]) ).
tff(f149,definition,
( spl17_5
<=> ( $product(sK4,sF10) = sF11 ) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
tff(f151,plain,
( ( $product(sK4,sF10) = sF11 )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f152,plain,
spl17_5,
inference(avatar_split_clause,[],[f107,f149]) ).
tff(f154,definition,
( spl17_6
<=> ( 0 = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
tff(f157,plain,
( spl17_6
| spl17_1
| spl17_3
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f125,f143,f139,f130,f154]) ).
tff(f159,definition,
( spl17_7
<=> ( sF14 = -1 ) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
tff(f161,plain,
( ( sF14 = -1 )
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f159]) ).
tff(f162,plain,
spl17_7,
inference(avatar_split_clause,[],[f127,f159]) ).
tff(f164,definition,
( spl17_8
<=> ( sF12 = fact1(sK6) ) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
tff(f166,plain,
( ( sF12 = fact1(sK6) )
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f167,plain,
spl17_8,
inference(avatar_split_clause,[],[f111,f164]) ).
tff(f169,definition,
( spl17_9
<=> ( $sum(sK3,sF14) = sF15 ) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
tff(f171,plain,
( ( $sum(sK3,sF14) = sF15 )
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f169]) ).
tff(f172,plain,
spl17_9,
inference(avatar_split_clause,[],[f117,f169]) ).
tff(f173,plain,
( ~ spl17_4
| spl17_1
| ~ spl17_2
| ~ spl17_6 ),
inference(avatar_split_clause,[],[f110,f154,f135,f130,f143]) ).
tff(f180,definition,
( spl17_11
<=> $less(sK6,0) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
tff(f184,definition,
( spl17_12
<=> ( sF8 = sF13 ) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
tff(f188,definition,
( spl17_13
<=> $less(sK6,sK3) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
tff(f192,definition,
( spl17_14
<=> $less(sK3,0) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
tff(f195,plain,
( spl17_11
| spl17_6
| ~ spl17_12
| spl17_1
| ~ spl17_4
| ~ spl17_13
| spl17_14 ),
inference(avatar_split_clause,[],[f123,f192,f188,f143,f130,f184,f154,f180]) ).
tff(f196,plain,
( ~ spl17_14
| spl17_1
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f109,f143,f130,f192]) ).
tff(f198,definition,
( spl17_15
<=> ( sF15 = sK6 ) ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
tff(f200,plain,
( ( sF15 = sK6 )
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f198]) ).
tff(f201,plain,
( spl17_6
| ~ spl17_4
| spl17_15
| spl17_1 ),
inference(avatar_split_clause,[],[f124,f130,f198,f143,f154]) ).
tff(f209,definition,
( spl17_17
<=> ( 1 = fact1(0) ) ),
introduced(definition,[new_symbols(definition,[spl17_17])],[avatar_definition]) ).
tff(f212,plain,
spl17_17,
inference(avatar_split_clause,[],[f76,f209]) ).
tff(f214,definition,
( spl17_18
<=> ( $product(sK5,sF12) = sF13 ) ),
introduced(definition,[new_symbols(definition,[spl17_18])],[avatar_definition]) ).
tff(f216,plain,
( ( $product(sK5,sF12) = sF13 )
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f214]) ).
tff(f217,plain,
spl17_18,
inference(avatar_split_clause,[],[f113,f214]) ).
tff(f225,definition,
( spl17_20
<=> ( sF8 = sF11 ) ),
introduced(definition,[new_symbols(definition,[spl17_20])],[avatar_definition]) ).
tff(f227,plain,
( ( sF8 = sF11 )
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f228,plain,
( spl17_1
| spl17_20
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f108,f143,f225,f130]) ).
tff(f230,definition,
( spl17_21
<=> ( $product(sK4,sK3) = sF16 ) ),
introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition]) ).
tff(f233,plain,
spl17_21,
inference(avatar_split_clause,[],[f120,f230]) ).
tff(f235,definition,
( spl17_22
<=> ( sF10 = fact1(sK3) ) ),
introduced(definition,[new_symbols(definition,[spl17_22])],[avatar_definition]) ).
tff(f237,plain,
( ( sF10 = fact1(sK3) )
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f235]) ).
tff(f238,plain,
spl17_22,
inference(avatar_split_clause,[],[f105,f235]) ).
tff(f242,plain,
( ( $product(sK4,sF10) = sF8 )
| ~ spl17_5
| ~ spl17_20 ),
inference(forward_demodulation,[],[f151,f227]) ).
tff(f243,plain,
( ( $product(sK4,fact1(sK3)) = sF8 )
| ~ spl17_5
| ~ spl17_20
| ~ spl17_22 ),
inference(forward_demodulation,[],[f242,f237]) ).
tff(f245,definition,
( spl17_23
<=> ( $product(sK4,fact1(sK3)) = sF8 ) ),
introduced(definition,[new_symbols(definition,[spl17_23])],[avatar_definition]) ).
tff(f248,plain,
( spl17_23
| ~ spl17_5
| ~ spl17_20
| ~ spl17_22 ),
inference(avatar_split_clause,[],[f243,f235,f225,f149,f245]) ).
tff(f249,plain,
( ( $sum(sK3,sF14) = sK6 )
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f171,f200]) ).
tff(f250,plain,
( ( sK6 = $sum(sK3,-1) )
| ~ spl17_7
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f249,f161]) ).
tff(f252,definition,
( spl17_24
<=> ( sK6 = $sum(sK3,-1) ) ),
introduced(definition,[new_symbols(definition,[spl17_24])],[avatar_definition]) ).
tff(f254,plain,
( ( sK6 = $sum(sK3,-1) )
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f252]) ).
tff(f255,plain,
( spl17_24
| ~ spl17_7
| ~ spl17_9
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f250,f198,f169,f159,f252]) ).
tff(f256,plain,
( ( $product(sF16,sF12) = sF13 )
| ~ spl17_3
| ~ spl17_18 ),
inference(forward_demodulation,[],[f216,f141]) ).
tff(f258,definition,
( spl17_25
<=> ( $product(sF16,sF12) = sF13 ) ),
introduced(definition,[new_symbols(definition,[spl17_25])],[avatar_definition]) ).
tff(f261,plain,
( spl17_25
| ~ spl17_3
| ~ spl17_18 ),
inference(avatar_split_clause,[],[f256,f214,f139,f258]) ).
tff(f343,plain,
( ~ $less(0,sK3)
| ( fact1(sK3) = $product(sK3,fact1(sK6)) )
| ~ spl17_24 ),
inference(superposition,[],[f128,f254]) ).
tff(f344,plain,
( ~ $less(0,sK3)
| ( fact1(sK3) = $product(sK3,sF12) )
| ~ spl17_8
| ~ spl17_24 ),
inference(forward_demodulation,[],[f343,f166]) ).
tff(f346,definition,
( spl17_26
<=> $less(0,sK3) ),
introduced(definition,[new_symbols(definition,[spl17_26])],[avatar_definition]) ).
tff(f350,definition,
( spl17_27
<=> ( fact1(sK3) = $product(sK3,sF12) ) ),
introduced(definition,[new_symbols(definition,[spl17_27])],[avatar_definition]) ).
tff(f353,plain,
( ~ spl17_26
| spl17_27
| ~ spl17_8
| ~ spl17_24 ),
inference(avatar_split_clause,[],[f344,f252,f164,f350,f346]) ).
tff(f354,plain,
$false,
inference(avatar_smt_refutation,[],[f353,f261,f255,f248,f238,f233,f228,f217,f212,f201,f196,f195,f173,f172,f167,f162,f157,f152,f147,f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW642_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n005.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 14:23:31 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 4.73/1.50 % (816697)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.73/1.50 % (816784)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=579130386:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.73/1.50 % (816779)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3476980481:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.73/1.50 % (816776)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2072787633:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.73/1.50 % (816784)Instruction limit reached!
% 4.73/1.50 % (816784)------------------------------
% 4.73/1.50 % (816784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816784)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816780)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2351965295:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.73/1.50 % (816784)Termination reason: Instruction limit
% 4.73/1.50 % (816784)Termination phase: Saturation
% 4.73/1.50 % (816784)Time elapsed: 0.034 s
% 4.73/1.50 % (816784)Peak memory usage: 118 MB
% 4.73/1.50 % (816784)Instructions burned: 51 (million)
% 4.73/1.50 % (816780)Instruction limit reached!
% 4.73/1.50 % (816780)------------------------------
% 4.73/1.50 % (816780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816780)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816780)Termination reason: Instruction limit
% 4.73/1.50 % (816780)Termination phase: Saturation
% 4.73/1.50 % (816780)Time elapsed: 0.005 s
% 4.73/1.50 % (816780)Peak memory usage: 88 MB
% 4.73/1.50 % (816780)Instructions burned: 7 (million)
% 4.73/1.50 % (816782)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1161264684:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.73/1.50 % (816782)Instruction limit reached!
% 4.73/1.50 % (816782)------------------------------
% 4.73/1.50 % (816782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816782)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816782)Termination reason: Instruction limit
% 4.73/1.50 % (816782)Termination phase: Saturation
% 4.73/1.50 % (816782)Time elapsed: 0.004 s
% 4.73/1.50 % (816782)Peak memory usage: 89 MB
% 4.73/1.50 % (816782)Instructions burned: 4 (million)
% 4.73/1.50 % (816778)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2100961311:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.73/1.50 % (816785)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1367474285:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.73/1.50 % (816776)Instruction limit reached!
% 4.73/1.50 % (816776)------------------------------
% 4.73/1.50 % (816776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816776)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816776)Termination reason: Instruction limit
% 4.73/1.50 % (816776)Termination phase: Saturation
% 4.73/1.50 % (816776)Time elapsed: 0.032 s
% 4.73/1.50 % (816776)Peak memory usage: 117 MB
% 4.73/1.50 % (816776)Instructions burned: 12 (million)
% 4.73/1.50 % (816785)Instruction limit reached!
% 4.73/1.50 % (816785)------------------------------
% 4.73/1.50 % (816785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816785)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816785)Termination reason: Instruction limit
% 4.73/1.50 % (816785)Termination phase: Saturation
% 4.73/1.50 % (816785)Time elapsed: 0.049 s
% 4.73/1.50 % (816785)Peak memory usage: 117 MB
% 4.73/1.50 % (816785)Instructions burned: 33 (million)
% 4.73/1.50 % (816779)Instruction limit reached!
% 4.73/1.50 % (816779)------------------------------
% 4.73/1.50 % (816779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816779)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816779)Termination reason: Instruction limit
% 4.73/1.50 % (816779)Termination phase: Saturation
% 4.73/1.50 % (816779)Time elapsed: 0.116 s
% 4.73/1.50 % (816779)Peak memory usage: 116 MB
% 4.73/1.50 % (816779)Instructions burned: 201 (million)
% 4.73/1.50 % (816822)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=3993946455:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.73/1.50 % (816836)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3197902858:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.73/1.50 % (816819)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4203268087:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.73/1.50 % (816836)Instruction limit reached!
% 4.73/1.50 % (816836)------------------------------
% 4.73/1.50 % (816836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816836)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816836)Termination reason: Instruction limit
% 4.73/1.50 % (816836)Termination phase: Saturation
% 4.73/1.50 % (816836)Time elapsed: 0.018 s
% 4.73/1.50 % (816836)Peak memory usage: 90 MB
% 4.73/1.50 % (816836)Instructions burned: 25 (million)
% 4.73/1.50 % (816822)Instruction limit reached!
% 4.73/1.50 % (816822)------------------------------
% 4.73/1.50 % (816822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816822)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816822)Termination reason: Instruction limit
% 4.73/1.50 % (816822)Termination phase: Saturation
% 4.73/1.50 % (816822)Time elapsed: 0.035 s
% 4.73/1.50 % (816822)Peak memory usage: 89 MB
% 4.73/1.50 % (816822)Instructions burned: 29 (million)
% 4.73/1.50 % (816819)Instruction limit reached!
% 4.73/1.50 % (816819)------------------------------
% 4.73/1.50 % (816819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816819)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816819)Termination reason: Instruction limit
% 4.73/1.50 % (816819)Termination phase: Saturation
% 4.73/1.50 % (816819)Time elapsed: 0.017 s
% 4.73/1.50 % (816819)Peak memory usage: 89 MB
% 4.73/1.50 % (816819)Instructions burned: 14 (million)
% 4.73/1.50 % (816778)First to succeed.
% 4.73/1.50 % (816826)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=215650600:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.73/1.50 % (816778)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-816697"
% 4.73/1.50 % (816826)Instruction limit reached!
% 4.73/1.50 % (816826)------------------------------
% 4.73/1.50 % (816826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816826)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816826)Termination reason: Instruction limit
% 4.73/1.50 % (816826)Termination phase: Saturation
% 4.73/1.50 % (816826)Time elapsed: 0.018 s
% 4.73/1.50 % (816826)Peak memory usage: 90 MB
% 4.73/1.50 % (816826)Instructions burned: 16 (million)
% 4.73/1.50 % (816848)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=2330176597:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.73/1.50 % (816858)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1426220542:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.73/1.50 % (816848)Instruction limit reached!
% 4.73/1.50 % (816848)------------------------------
% 4.73/1.50 % (816848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816848)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816848)Termination reason: Instruction limit
% 4.73/1.50 % (816848)Termination phase: Saturation
% 4.73/1.50 % (816848)Time elapsed: 0.031 s
% 4.73/1.50 % (816848)Peak memory usage: 89 MB
% 4.73/1.50 % (816848)Instructions burned: 27 (million)
% 4.73/1.50 % (816872)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1281880813:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.73/1.50 % (816872)Instruction limit reached!
% 4.73/1.50 % (816872)------------------------------
% 4.73/1.50 % (816872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816872)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816872)Termination reason: Instruction limit
% 4.73/1.50 % (816872)Termination phase: Saturation
% 4.73/1.50 % (816872)Time elapsed: 0.002 s
% 4.73/1.50 % (816872)Peak memory usage: 88 MB
% 4.73/1.50 % (816872)Instructions burned: 2 (million)
% 4.73/1.50 % (816858)Instruction limit reached!
% 4.73/1.50 % (816858)------------------------------
% 4.73/1.50 % (816858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816858)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816858)Termination reason: Instruction limit
% 4.73/1.50 % (816858)Termination phase: Saturation
% 4.73/1.50 % (816858)Time elapsed: 0.076 s
% 4.73/1.50 % (816858)Peak memory usage: 89 MB
% 4.73/1.50 % (816858)Instructions burned: 85 (million)
% 4.73/1.50 % (816874)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3096603711:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.73/1.50 % (816875)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=824442510:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.73/1.50 % (816879)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1236103986:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 4.73/1.50 % (816875)Instruction limit reached!
% 4.73/1.50 % (816875)------------------------------
% 4.73/1.50 % (816875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816875)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816875)Termination reason: Instruction limit
% 4.73/1.50 % (816875)Termination phase: Saturation
% 4.73/1.50 % (816875)Time elapsed: 0.006 s
% 4.73/1.50 % (816875)Peak memory usage: 88 MB
% 4.73/1.50 % (816875)Instructions burned: 4 (million)
% 4.73/1.50 % (816874)Refutation not found, incomplete strategy
% 4.73/1.50 % (816874)------------------------------
% 4.73/1.50 % (816874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816874)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816874)Termination reason: Refutation not found, incomplete strategy
% 4.73/1.50 % (816874)Time elapsed: 0.043 s
% 4.73/1.50 % (816874)Peak memory usage: 90 MB
% 4.73/1.50 % (816874)Instructions burned: 36 (million)
% 4.73/1.50 % (816879)Instruction limit reached!
% 4.73/1.50 % (816879)------------------------------
% 4.73/1.50 % (816879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.50 % (816879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.50 % (816879)CaDiCaL version: 2.1.3
% 4.73/1.50 % (816879)Termination reason: Instruction limit
% 4.73/1.50 % (816879)Termination phase: Saturation
% 4.73/1.50 % (816879)Time elapsed: 0.097 s
% 4.73/1.50 % (816879)Peak memory usage: 135 MB
% 4.73/1.50 % (816879)Instructions burned: 67 (million)
% 4.73/1.50 % (816892)lrs+10_1_thi=all:si=on:fd=off:random_seed=2962843541:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 4.73/1.50 % (816896)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=899728750:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 4.73/1.50 % (816778)Refutation found. Thanks to Tanya!
% 4.73/1.50 % SZS status Theorem for theBenchmark
% 4.73/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 6.37/1.70 % (816778)------------------------------
% 6.37/1.70 % (816778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.70 % (816778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.70 % (816778)CaDiCaL version: 2.1.3
% 6.37/1.70 % (816778)Termination reason: Refutation
% 6.37/1.70 % (816778)Time elapsed: 0.224 s
% 6.37/1.70 % (816778)Peak memory usage: 119 MB
% 6.37/1.70 % (816778)Instructions burned: 202 (million)
% 6.37/1.70 % (816778)------------------------------
% 6.37/1.70 % (816778)------------------------------
% 6.37/1.70 % (816697)Success in time 0.825 s
% 6.37/1.70 % Vampire exiting
%------------------------------------------------------------------------------