%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA135_1 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:31:11 AM UTC 2026
% Result : Theorem 11.46s 2.33s
% Output : Refutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 3 unt; 0 typ; 13 def)
% Number of atoms : 401 ( 39 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 510 ( 197 ~; 214 |; 57 &)
% ( 12 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 1215 ( 268 atm; 570 fun; 289 num; 88 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 15 ( 6 usr; 7 con; 0-2 aty)
% Number of variables : 88 ( 76 !; 12 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $real > $real ).
tff(func_def_1,type,
a: $real ).
tff(func_def_2,type,
l: $real ).
tff(func_def_12,type,
sK1: $real > $real ).
tff(func_def_13,type,
sK2: $real ).
tff(func_def_14,type,
sK3: $real > $real ).
tff(pred_def_3,type,
sP0: ( $real * $real ) > $o ).
tff(f1,axiom,
! [X0: $real] :
( $less(0/1,X0)
=> ? [X1: $real] :
( $less(0/1,X1)
& ! [X2: $real] :
( ( ( $greatereq($difference(X2,a),0/1)
=> $less($difference(X2,a),X1) )
& ( ~ $greatereq($difference(X2,a),0/1)
=> $less($uminus($difference(X2,a)),X1) )
& ( X2 != a ) )
=> ( ( ~ $greatereq($difference(f(X2),l),0/1)
=> $less($uminus($difference(f(X2),l)),X0) )
& ( $greatereq($difference(f(X2),l),0/1)
=> $less($difference(f(X2),l),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(f2,conjecture,
! [X0: $real] :
( $less(0/1,X0)
=> ? [X1: $real] :
( ! [X2: $real] :
( ( ( ~ $greatereq($difference(X2,a),0/1)
=> $less($uminus($difference(X2,a)),X1) )
& ( $greatereq($difference(X2,a),0/1)
=> $less($difference(X2,a),X1) )
& ( X2 != a ) )
=> ( ( ~ $greatereq($difference($product($quotient(14/1,100/1),f(X2)),$product($quotient(14/1,100/1),l)),0/1)
=> $less($uminus($difference($product($quotient(14/1,100/1),f(X2)),$product($quotient(14/1,100/1),l))),X0) )
& ( $greatereq($difference($product($quotient(14/1,100/1),f(X2)),$product($quotient(14/1,100/1),l)),0/1)
=> $less($difference($product($quotient(14/1,100/1),f(X2)),$product($quotient(14/1,100/1),l)),X0) ) ) )
& $less(0/1,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).
tff(f3,negated_conjecture,
~ ! [X0: $real] :
( $less(0/1,X0)
=> ? [X1: $real] :
( ! [X2: $real] :
( ( ( ~ $greatereq($difference(X2,a),0/1)
=> $less($uminus($difference(X2,a)),X1) )
& ( $greatereq($difference(X2,a),0/1)
=> $less($difference(X2,a),X1) )
& ( X2 != a ) )
=> ( ( ~ $greatereq($difference($product($quotient(14/1,100/1),f(X2)),$product($quotient(14/1,100/1),l)),0/1)
=> $less($uminus($difference($product($quotient(14/1,100/1),f(X2)),$product($quotient(14/1,100/1),l))),X0) )
& ( $greatereq($difference($product($quotient(14/1,100/1),f(X2)),$product($quotient(14/1,100/1),l)),0/1)
=> $less($difference($product($quotient(14/1,100/1),f(X2)),$product($quotient(14/1,100/1),l)),X0) ) ) )
& $less(0/1,X1) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
~ ! [X0: $real] :
( $less(0/1,X0)
=> ? [X1: $real] :
( $less(0/1,X1)
& ! [X2: $real] :
( ( ( ~ $less($sum(X2,$uminus(a)),0/1)
=> $less($sum(X2,$uminus(a)),X1) )
& ( $less($sum(X2,$uminus(a)),0/1)
=> $less($uminus($sum(X2,$uminus(a))),X1) )
& ( X2 != a ) )
=> ( ( $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),0/1)
=> $less($uminus($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l)))),X0) )
& ( ~ $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),0/1)
=> $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),X0) ) ) ) ) ),
inference(theory_normalization,[],[f3]) ).
tff(f5,plain,
! [X0: $real] :
( $less(0/1,X0)
=> ? [X1: $real] :
( $less(0/1,X1)
& ! [X2: $real] :
( ( ( $less($sum(X2,$uminus(a)),0/1)
=> $less($uminus($sum(X2,$uminus(a))),X1) )
& ( X2 != a )
& ( ~ $less($sum(X2,$uminus(a)),0/1)
=> $less($sum(X2,$uminus(a)),X1) ) )
=> ( ( ~ $less($sum(f(X2),$uminus(l)),0/1)
=> $less($sum(f(X2),$uminus(l)),X0) )
& ( $less($sum(f(X2),$uminus(l)),0/1)
=> $less($uminus($sum(f(X2),$uminus(l))),X0) ) ) ) ) ),
inference(theory_normalization,[],[f1]) ).
tff(f12,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) ),
introduced(definition,[],[tha_transitivity]) ).
tff(f25,plain,
? [X0: $real] :
( ! [X1: $real] :
( ~ $less(0/1,X1)
| ? [X2: $real] :
( ( ( ~ $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),X0)
& ~ $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),0/1) )
| ( ~ $less($uminus($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l)))),X0)
& $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),0/1) ) )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0/1) )
& ( ~ $less($sum(X2,$uminus(a)),0/1)
| $less($uminus($sum(X2,$uminus(a))),X1) )
& ( X2 != a ) ) )
& $less(0/1,X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f26,plain,
? [X0: $real] :
( $less(0/1,X0)
& ! [X1: $real] :
( ? [X2: $real] :
( ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0/1) )
& ( ( ~ $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),X0)
& ~ $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),0/1) )
| ( ~ $less($uminus($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l)))),X0)
& $less($sum($product($quotient(14/1,100/1),f(X2)),$uminus($product($quotient(14/1,100/1),l))),0/1) ) )
& ( ~ $less($sum(X2,$uminus(a)),0/1)
| $less($uminus($sum(X2,$uminus(a))),X1) )
& ( X2 != a ) )
| ~ $less(0/1,X1) ) ),
inference(flattening,[],[f25]) ).
tff(f27,plain,
! [X0: $real] :
( ? [X1: $real] :
( $less(0/1,X1)
& ! [X2: $real] :
( ( ( $less($sum(f(X2),$uminus(l)),0/1)
| $less($sum(f(X2),$uminus(l)),X0) )
& ( $less($uminus($sum(f(X2),$uminus(l))),X0)
| ~ $less($sum(f(X2),$uminus(l)),0/1) ) )
| ( $less($sum(X2,$uminus(a)),0/1)
& ~ $less($uminus($sum(X2,$uminus(a))),X1) )
| ( a = X2 )
| ( ~ $less($sum(X2,$uminus(a)),X1)
& ~ $less($sum(X2,$uminus(a)),0/1) ) ) )
| ~ $less(0/1,X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f28,plain,
! [X0: $real] :
( ~ $less(0/1,X0)
| ? [X1: $real] :
( $less(0/1,X1)
& ! [X2: $real] :
( ( ~ $less($sum(X2,$uminus(a)),X1)
& ~ $less($sum(X2,$uminus(a)),0/1) )
| ( ( $less($sum(f(X2),$uminus(l)),0/1)
| $less($sum(f(X2),$uminus(l)),X0) )
& ( $less($uminus($sum(f(X2),$uminus(l))),X0)
| ~ $less($sum(f(X2),$uminus(l)),0/1) ) )
| ( $less($sum(X2,$uminus(a)),0/1)
& ~ $less($uminus($sum(X2,$uminus(a))),X1) )
| ( a = X2 ) ) ) ),
inference(flattening,[],[f27]) ).
tff(f29,definition,
! [X1: $real,X0: $real] :
( ! [X2: $real] :
( ( ~ $less($sum(X2,$uminus(a)),X1)
& ~ $less($sum(X2,$uminus(a)),0/1) )
| ( ( $less($sum(f(X2),$uminus(l)),0/1)
| $less($sum(f(X2),$uminus(l)),X0) )
& ( $less($uminus($sum(f(X2),$uminus(l))),X0)
| ~ $less($sum(f(X2),$uminus(l)),0/1) ) )
| ( $less($sum(X2,$uminus(a)),0/1)
& ~ $less($uminus($sum(X2,$uminus(a))),X1) )
| ( a = X2 ) )
| ~ sP0(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
tff(f30,plain,
! [X0: $real] :
( ~ $less(0/1,X0)
| ? [X1: $real] :
( $less(0/1,X1)
& sP0(X1,X0) ) ),
inference(definition_folding,[],[f28,f29]) ).
tff(f31,plain,
! [X1: $real,X0: $real] :
( ! [X2: $real] :
( ( ~ $less($sum(X2,$uminus(a)),X1)
& ~ $less($sum(X2,$uminus(a)),0/1) )
| ( ( $less($sum(f(X2),$uminus(l)),0/1)
| $less($sum(f(X2),$uminus(l)),X0) )
& ( $less($uminus($sum(f(X2),$uminus(l))),X0)
| ~ $less($sum(f(X2),$uminus(l)),0/1) ) )
| ( $less($sum(X2,$uminus(a)),0/1)
& ~ $less($uminus($sum(X2,$uminus(a))),X1) )
| ( a = X2 ) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f29]) ).
tff(f32,plain,
! [X0: $real,X1: $real] :
( ! [X2: $real] :
( ( ~ $less($sum(X2,$uminus(a)),X0)
& ~ $less($sum(X2,$uminus(a)),0/1) )
| ( ( $less($sum(f(X2),$uminus(l)),0/1)
| $less($sum(f(X2),$uminus(l)),X1) )
& ( $less($uminus($sum(f(X2),$uminus(l))),X1)
| ~ $less($sum(f(X2),$uminus(l)),0/1) ) )
| ( $less($sum(X2,$uminus(a)),0/1)
& ~ $less($uminus($sum(X2,$uminus(a))),X0) )
| ( a = X2 ) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f31]) ).
tff(f33,plain,
! [X0: $real] :
( ~ $less(0/1,X0)
| ( $less(0/1,sK1(X0))
& sP0(sK1(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f30]) ).
tff(f34,plain,
( $less(0/1,sK2)
& ! [X1: $real] :
( ( ( $less($sum(sK3(X1),$uminus(a)),X1)
| $less($sum(sK3(X1),$uminus(a)),0/1) )
& ( ( ~ $less($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l))),sK2)
& ~ $less($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l))),0/1) )
| ( ~ $less($uminus($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l)))),sK2)
& $less($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l))),0/1) ) )
& ( ~ $less($sum(sK3(X1),$uminus(a)),0/1)
| $less($uminus($sum(sK3(X1),$uminus(a))),X1) )
& ( a != sK3(X1) ) )
| ~ $less(0/1,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X2,sK3(X1))],[f26]) ).
tff(f35,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($uminus($sum(f(X2),$uminus(l))),X1)
| ( a = X2 )
| ~ $less($sum(X2,$uminus(a)),0/1)
| ~ sP0(X0,X1)
| ~ $less($sum(f(X2),$uminus(l)),0/1)
| ~ $less($uminus($sum(X2,$uminus(a))),X0) ),
inference(cnf_transformation,[],[f32]) ).
tff(f40,plain,
! [X2: $real,X0: $real,X1: $real] :
( ( a = X2 )
| ~ $less($sum(X2,$uminus(a)),X0)
| $less($sum(X2,$uminus(a)),0/1)
| ~ $less($sum(f(X2),$uminus(l)),0/1)
| $less($uminus($sum(f(X2),$uminus(l))),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tff(f41,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(f(X2),$uminus(l)),0/1)
| ~ sP0(X0,X1)
| ~ $less($sum(X2,$uminus(a)),X0)
| ( a = X2 )
| ~ $less($uminus($sum(X2,$uminus(a))),X0)
| $less($sum(f(X2),$uminus(l)),X1) ),
inference(cnf_transformation,[],[f32]) ).
tff(f42,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ sP0(X0,X1)
| $less($sum(f(X2),$uminus(l)),0/1)
| ( a = X2 )
| $less($sum(f(X2),$uminus(l)),X1)
| $less($sum(X2,$uminus(a)),0/1)
| ~ $less($sum(X2,$uminus(a)),X0) ),
inference(cnf_transformation,[],[f32]) ).
tff(f43,plain,
! [X0: $real] :
( sP0(sK1(X0),X0)
| ~ $less(0/1,X0) ),
inference(cnf_transformation,[],[f33]) ).
tff(f44,plain,
! [X0: $real] :
( ~ $less(0/1,X0)
| $less(0/1,sK1(X0)) ),
inference(cnf_transformation,[],[f33]) ).
tff(f45,plain,
! [X1: $real] :
( ( a != sK3(X1) )
| ~ $less(0/1,X1) ),
inference(cnf_transformation,[],[f34]) ).
tff(f46,plain,
! [X1: $real] :
( ~ $less($sum(sK3(X1),$uminus(a)),0/1)
| $less($uminus($sum(sK3(X1),$uminus(a))),X1)
| ~ $less(0/1,X1) ),
inference(cnf_transformation,[],[f34]) ).
tff(f49,plain,
! [X1: $real] :
( $less($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l))),0/1)
| ~ $less(0/1,X1)
| ~ $less($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l))),sK2) ),
inference(cnf_transformation,[],[f34]) ).
tff(f50,plain,
! [X1: $real] :
( ~ $less($uminus($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l)))),sK2)
| ~ $less($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l))),sK2)
| ~ $less(0/1,X1) ),
inference(cnf_transformation,[],[f34]) ).
tff(f51,plain,
! [X1: $real] :
( $less($sum(sK3(X1),$uminus(a)),X1)
| $less($sum(sK3(X1),$uminus(a)),0/1)
| ~ $less(0/1,X1) ),
inference(cnf_transformation,[],[f34]) ).
tff(f52,plain,
$less(0/1,sK2),
inference(cnf_transformation,[],[f34]) ).
tff(f54,plain,
! [X1: $real] :
( ~ $less($sum($product($quotient(14/1,100/1),f(sK3(X1))),$uminus($product($quotient(14/1,100/1),l))),sK2)
| ~ $less($sum($uminus($product($quotient(14/1,100/1),f(sK3(X1)))),$product($quotient(14/1,100/1),l)),sK2)
| ~ $less(0/1,X1) ),
inference(evaluation,[],[f50]) ).
tff(f55,plain,
! [X1: $real] :
( ~ $less(0/1,X1)
| ~ $less($sum($product(7/50,f(sK3(X1))),$uminus($product(7/50,l))),sK2)
| ~ $less($sum($uminus($product(7/50,f(sK3(X1)))),$product(7/50,l)),sK2) ),
inference(evaluation,[],[f54]) ).
tff(f56,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ sP0(X0,X1)
| ~ $less($sum($uminus(X2),a),X0)
| $less($sum(f(X2),$uminus(l)),0/1)
| ~ $less($sum(X2,$uminus(a)),X0)
| ( a = X2 )
| $less($sum(f(X2),$uminus(l)),X1) ),
inference(evaluation,[],[f41]) ).
tff(f60,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ sP0(X0,X1)
| ~ $less($sum($uminus(X2),a),X0)
| ( a = X2 )
| ~ $less($sum(X2,$uminus(a)),0/1)
| $less($sum($uminus(f(X2)),l),X1)
| ~ $less($sum(f(X2),$uminus(l)),0/1) ),
inference(evaluation,[],[f35]) ).
tff(f61,plain,
! [X1: $real] :
( ~ $less(0/1,X1)
| ~ $less($sum($product(7/50,f(sK3(X1))),$uminus($product(7/50,l))),sK2)
| $less($sum($product(7/50,f(sK3(X1))),$uminus($product(7/50,l))),0/1) ),
inference(evaluation,[],[f49]) ).
tff(f62,plain,
! [X1: $real] :
( ~ $less(0/1,X1)
| $less($sum($uminus(sK3(X1)),a),X1)
| ~ $less($sum(sK3(X1),$uminus(a)),0/1) ),
inference(evaluation,[],[f46]) ).
tff(f63,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ sP0(X0,X1)
| ( a = X2 )
| ~ $less($sum(X2,$uminus(a)),X0)
| ~ $less($sum(f(X2),$uminus(l)),0/1)
| $less($sum($uminus(f(X2)),l),X1)
| $less($sum(X2,$uminus(a)),0/1) ),
inference(evaluation,[],[f40]) ).
tff(f64,plain,
! [X1: $real] :
( ~ $less(0/1,X1)
| $less($sum(sK3(X1),$uminus(a)),X1) ),
inference(forward_subsumption_resolution,[],[f51,f12]) ).
tff(f66,definition,
( spl4_1
<=> $less(0/1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f68,plain,
( $less(0/1,sK2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f66]) ).
tff(f69,plain,
spl4_1,
inference(avatar_split_clause,[],[f52,f66]) ).
tff(f146,plain,
( $less(0/1,sK1(sK2))
| ~ spl4_1 ),
inference(resolution,[],[f44,f68]) ).
tff(f152,definition,
( spl4_9
<=> $less(0/1,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
tff(f154,plain,
( $less(0/1,sK1(sK2))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f152]) ).
tff(f155,plain,
( spl4_9
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f146,f66,f152]) ).
tff(f157,plain,
( $less($sum($product(7/50,f(sK3(sK1(sK2)))),$uminus($product(7/50,l))),0/1)
| ~ $less($sum($product(7/50,f(sK3(sK1(sK2)))),$uminus($product(7/50,l))),sK2)
| ~ spl4_9 ),
inference(resolution,[],[f154,f61]) ).
tff(f159,plain,
( ~ $less($sum($uminus($product(7/50,f(sK3(sK1(sK2))))),$product(7/50,l)),sK2)
| ~ $less($sum($product(7/50,f(sK3(sK1(sK2)))),$uminus($product(7/50,l))),sK2)
| ~ spl4_9 ),
inference(resolution,[],[f154,f55]) ).
tff(f160,plain,
( $less($sum($uminus(sK3(sK1(sK2))),a),sK1(sK2))
| ~ $less($sum(sK3(sK1(sK2)),$uminus(a)),0/1)
| ~ spl4_9 ),
inference(resolution,[],[f154,f62]) ).
tff(f161,plain,
( $less($sum(sK3(sK1(sK2)),$uminus(a)),sK1(sK2))
| ~ spl4_9 ),
inference(resolution,[],[f154,f64]) ).
tff(f164,definition,
( spl4_10
<=> $less($sum(sK3(sK1(sK2)),$uminus(a)),sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
tff(f166,plain,
( $less($sum(sK3(sK1(sK2)),$uminus(a)),sK1(sK2))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f167,plain,
( spl4_10
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f161,f152,f164]) ).
tff(f169,definition,
( spl4_11
<=> $less($sum(sK3(sK1(sK2)),$uminus(a)),0/1) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
tff(f173,definition,
( spl4_12
<=> $less($sum($uminus(sK3(sK1(sK2))),a),sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
tff(f175,plain,
( $less($sum($uminus(sK3(sK1(sK2))),a),sK1(sK2))
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f176,plain,
( ~ spl4_11
| spl4_12
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f160,f152,f173,f169]) ).
tff(f178,definition,
( spl4_13
<=> $less($sum($uminus($product(7/50,f(sK3(sK1(sK2))))),$product(7/50,l)),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
tff(f182,definition,
( spl4_14
<=> $less($sum($product(7/50,f(sK3(sK1(sK2)))),$uminus($product(7/50,l))),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
tff(f185,plain,
( ~ spl4_13
| ~ spl4_14
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f159,f152,f182,f178]) ).
tff(f192,definition,
( spl4_16
<=> $less($sum($product(7/50,f(sK3(sK1(sK2)))),$uminus($product(7/50,l))),0/1) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
tff(f196,plain,
( spl4_16
| ~ spl4_14
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f157,f152,f182,f192]) ).
tff(f197,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(X0,$uminus(a)),sK1(X1))
| ( a = X0 )
| ~ $less(0/1,X1)
| $less($sum(f(X0),$uminus(l)),X1)
| $less($sum(X0,$uminus(a)),0/1)
| $less($sum(f(X0),$uminus(l)),0/1) ),
inference(resolution,[],[f42,f43]) ).
tff(f198,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(X0,$uminus(a)),sK1(X1))
| ~ $less(0/1,X1)
| $less($sum(X0,$uminus(a)),0/1)
| $less($sum(f(X0),$uminus(l)),X1)
| ( a = X0 ) ),
inference(forward_subsumption_resolution,[],[f197,f12]) ).
tff(f283,plain,
! [X0: $real,X1: $real] :
( $less($sum(f(X0),$uminus(l)),0/1)
| ~ $less($sum(X0,$uminus(a)),sK1(X1))
| ~ $less(0/1,X1)
| $less($sum(f(X0),$uminus(l)),X1)
| ~ $less($sum($uminus(X0),a),sK1(X1))
| ( a = X0 ) ),
inference(resolution,[],[f56,f43]) ).
tff(f284,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum($uminus(X0),a),sK1(X1))
| ( a = X0 )
| ~ $less(0/1,X1)
| ~ $less($sum(X0,$uminus(a)),sK1(X1))
| $less($sum(f(X0),$uminus(l)),X1) ),
inference(forward_subsumption_resolution,[],[f283,f12]) ).
tff(f289,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum($uminus(X0),a),sK1(X1))
| ~ $less($sum(f(X0),$uminus(l)),0/1)
| ( a = X0 )
| ~ $less(0/1,X1)
| ~ $less($sum(X0,$uminus(a)),0/1)
| $less($sum($uminus(f(X0)),l),X1) ),
inference(resolution,[],[f60,f43]) ).
tff(f334,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(X0,$uminus(a)),sK1(X1))
| ~ $less(0/1,X1)
| ( a = X0 )
| ~ $less($sum(f(X0),$uminus(l)),0/1)
| $less($sum(X0,$uminus(a)),0/1)
| $less($sum($uminus(f(X0)),l),X1) ),
inference(resolution,[],[f63,f43]) ).
tff(f741,plain,
( $less($sum(sK3(sK1(sK2)),$uminus(a)),0/1)
| ~ $less(0/1,sK2)
| $less($sum(f(sK3(sK1(sK2))),$uminus(l)),sK2)
| ( a = sK3(sK1(sK2)) )
| ~ spl4_10 ),
inference(resolution,[],[f198,f166]) ).
tff(f746,plain,
( $less($sum(sK3(sK1(sK2)),$uminus(a)),0/1)
| ( a = sK3(sK1(sK2)) )
| $less($sum(f(sK3(sK1(sK2))),$uminus(l)),sK2)
| ~ spl4_1
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f741,f68]) ).
tff(f748,definition,
( spl4_76
<=> ( a = sK3(sK1(sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl4_76])],[avatar_definition]) ).
tff(f750,plain,
( ( a = sK3(sK1(sK2)) )
| ~ spl4_76 ),
inference(avatar_component_clause,[],[f748]) ).
tff(f752,definition,
( spl4_77
<=> $less($sum(f(sK3(sK1(sK2))),$uminus(l)),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_77])],[avatar_definition]) ).
tff(f755,plain,
( spl4_11
| spl4_76
| spl4_77
| ~ spl4_1
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f746,f164,f66,f752,f748,f169]) ).
tff(f860,plain,
( ( a = sK3(sK1(sK2)) )
| ~ $less(0/1,sK2)
| ~ $less($sum(sK3(sK1(sK2)),$uminus(a)),sK1(sK2))
| $less($sum(f(sK3(sK1(sK2))),$uminus(l)),sK2)
| ~ spl4_12 ),
inference(resolution,[],[f284,f175]) ).
tff(f865,plain,
( $less($sum(f(sK3(sK1(sK2))),$uminus(l)),sK2)
| ( a = sK3(sK1(sK2)) )
| ~ $less($sum(sK3(sK1(sK2)),$uminus(a)),sK1(sK2))
| ~ spl4_1
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f860,f68]) ).
tff(f867,plain,
( ( a = sK3(sK1(sK2)) )
| $less($sum(f(sK3(sK1(sK2))),$uminus(l)),sK2)
| ~ spl4_1
| ~ spl4_10
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f865,f166]) ).
tff(f869,plain,
( spl4_76
| spl4_77
| ~ spl4_1
| ~ spl4_10
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f867,f173,f164,f66,f752,f748]) ).
tff(f905,plain,
( ~ $less(0/1,sK2)
| ~ $less($sum(f(sK3(sK1(sK2))),$uminus(l)),0/1)
| $less($sum($uminus(f(sK3(sK1(sK2)))),l),sK2)
| ( a = sK3(sK1(sK2)) )
| ~ $less($sum(sK3(sK1(sK2)),$uminus(a)),0/1)
| ~ spl4_12 ),
inference(resolution,[],[f289,f175]) ).
tff(f909,plain,
( $less($sum($uminus(f(sK3(sK1(sK2)))),l),sK2)
| ( a = sK3(sK1(sK2)) )
| ~ $less($sum(f(sK3(sK1(sK2))),$uminus(l)),0/1)
| ~ $less($sum(sK3(sK1(sK2)),$uminus(a)),0/1)
| ~ spl4_1
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f905,f68]) ).
tff(f912,definition,
( spl4_96
<=> $less($sum($uminus(f(sK3(sK1(sK2)))),l),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_96])],[avatar_definition]) ).
tff(f916,definition,
( spl4_97
<=> $less($sum(f(sK3(sK1(sK2))),$uminus(l)),0/1) ),
introduced(definition,[new_symbols(definition,[spl4_97])],[avatar_definition]) ).
tff(f921,plain,
( ~ spl4_97
| spl4_76
| ~ spl4_11
| spl4_96
| ~ spl4_1
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f909,f173,f66,f912,f169,f748,f916]) ).
tff(f923,plain,
( $less($sum(sK3(sK1(sK2)),$uminus(a)),0/1)
| ~ $less(0/1,sK2)
| $less($sum($uminus(f(sK3(sK1(sK2)))),l),sK2)
| ( a = sK3(sK1(sK2)) )
| ~ $less($sum(f(sK3(sK1(sK2))),$uminus(l)),0/1)
| ~ spl4_10 ),
inference(resolution,[],[f334,f166]) ).
tff(f928,plain,
( ( a = sK3(sK1(sK2)) )
| ~ $less($sum(f(sK3(sK1(sK2))),$uminus(l)),0/1)
| $less($sum(sK3(sK1(sK2)),$uminus(a)),0/1)
| $less($sum($uminus(f(sK3(sK1(sK2)))),l),sK2)
| ~ spl4_1
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f923,f68]) ).
tff(f929,plain,
( spl4_11
| spl4_96
| spl4_76
| ~ spl4_97
| ~ spl4_1
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f928,f164,f66,f916,f748,f912,f169]) ).
tff(f937,plain,
( ( a != a )
| ~ $less(0/1,sK1(sK2))
| ~ spl4_76 ),
inference(superposition,[],[f45,f750]) ).
tff(f938,plain,
( ~ $less(0/1,sK1(sK2))
| ~ spl4_76 ),
inference(trivial_inequality_removal,[],[f937]) ).
tff(f966,plain,
( $false
| ~ spl4_9
| ~ spl4_76 ),
inference(forward_subsumption_resolution,[],[f938,f154]) ).
tff(f967,plain,
( ~ spl4_9
| ~ spl4_76 ),
inference(avatar_contradiction_clause,[],[f966]) ).
tff(f980,plain,
$false,
inference(avatar_smt_refutation,[],[f967,f929,f921,f869,f755,f196,f185,f176,f167,f155,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA135_1 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:42:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.69/1.21 % (3734679)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.69/1.21 % (3734686)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3708979822:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.69/1.21 % (3734690)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=92736640:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.69/1.21 % (3734689)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3161415258:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.69/1.21 % (3734687)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2084299567:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.69/1.21 % (3734688)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1753370945:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.69/1.21 % (3734685)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4064045499:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.69/1.21 % (3734684)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=833273030:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.69/1.21 % (3734688)Instruction limit reached!
% 3.69/1.21 % (3734688)------------------------------
% 3.69/1.21 % (3734688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.21 % (3734688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.21 % (3734688)CaDiCaL version: 2.1.3
% 3.69/1.21 % (3734688)Termination reason: Instruction limit
% 3.69/1.21 % (3734688)Termination phase: Saturation
% 3.69/1.21 % (3734688)Time elapsed: 0.003 s
% 3.69/1.21 % (3734688)Peak memory usage: 89 MB
% 3.69/1.21 % (3734688)Instructions burned: 4 (million)
% 3.69/1.21 % (3734687)Instruction limit reached!
% 3.69/1.21 % (3734687)------------------------------
% 3.69/1.21 % (3734687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.21 % (3734687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.21 % (3734687)CaDiCaL version: 2.1.3
% 3.69/1.21 % (3734687)Termination reason: Instruction limit
% 3.69/1.21 % (3734687)Termination phase: Saturation
% 3.69/1.21 % (3734687)Time elapsed: 0.005 s
% 3.69/1.21 % (3734687)Peak memory usage: 88 MB
% 3.69/1.21 % (3734687)Instructions burned: 9 (million)
% 3.69/1.21 % (3734684)Instruction limit reached!
% 3.69/1.21 % (3734684)------------------------------
% 3.69/1.21 % (3734684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.21 % (3734684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.21 % (3734684)CaDiCaL version: 2.1.3
% 3.69/1.21 % (3734684)Termination reason: Instruction limit
% 3.69/1.21 % (3734684)Termination phase: Saturation
% 3.69/1.21 % (3734684)Time elapsed: 0.029 s
% 3.69/1.21 % (3734684)Peak memory usage: 115 MB
% 3.69/1.21 % (3734684)Instructions burned: 13 (million)
% 3.69/1.21 % (3734689)Refutation not found, incomplete strategy
% 3.69/1.21 % (3734689)------------------------------
% 3.69/1.21 % (3734689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.21 % (3734689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.21 % (3734689)CaDiCaL version: 2.1.3
% 3.69/1.21 % (3734689)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.21 % (3734689)Time elapsed: 0.031 s
% 3.69/1.21 % (3734689)Peak memory usage: 115 MB
% 3.69/1.21 % (3734689)Instructions burned: 11 (million)
% 3.69/1.21 % (3734685)Refutation not found, incomplete strategy
% 3.69/1.21 % (3734685)------------------------------
% 3.69/1.21 % (3734685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.21 % (3734685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.21 % (3734685)CaDiCaL version: 2.1.3
% 3.69/1.21 % (3734685)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.21 % (3734685)Time elapsed: 0.032 s
% 3.69/1.21 % (3734685)Peak memory usage: 116 MB
% 3.69/1.21 % (3734685)Instructions burned: 12 (million)
% 3.69/1.21 % (3734690)Instruction limit reached!
% 3.69/1.21 % (3734690)------------------------------
% 3.69/1.21 % (3734690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.21 % (3734690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.35 % (3734690)CaDiCaL version: 2.1.3
% 4.39/1.35 % (3734690)Termination reason: Instruction limit
% 4.39/1.35 % (3734690)Termination phase: Saturation
% 4.39/1.35 % (3734690)Time elapsed: 0.046 s
% 4.39/1.35 % (3734690)Peak memory usage: 117 MB
% 4.39/1.35 % (3734690)Instructions burned: 33 (million)
% 4.39/1.35 % (3734686)Instruction limit reached!
% 4.39/1.35 % (3734686)------------------------------
% 4.39/1.35 % (3734686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.35 % (3734686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.35 % (3734686)CaDiCaL version: 2.1.3
% 4.39/1.35 % (3734686)Termination reason: Instruction limit
% 4.39/1.35 % (3734686)Termination phase: Saturation
% 4.39/1.35 % (3734686)Time elapsed: 0.095 s
% 4.39/1.35 % (3734686)Peak memory usage: 117 MB
% 4.39/1.35 % (3734686)Instructions burned: 203 (million)
% 4.39/1.35 % (3734702)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=1903269603:i=27:canc=cautious:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/27Mi)
% 4.39/1.35 % (3734699)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=2141882583:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.39/1.35 % (3734698)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1596057987:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.39/1.35 % (3734702)Instruction limit reached!
% 4.39/1.35 % (3734702)------------------------------
% 4.39/1.35 % (3734702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.35 % (3734702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.35 % (3734702)CaDiCaL version: 2.1.3
% 4.39/1.35 % (3734702)Termination reason: Instruction limit
% 4.39/1.35 % (3734702)Termination phase: Saturation
% 4.39/1.35 % (3734702)Time elapsed: 0.009 s
% 4.39/1.35 % (3734702)Peak memory usage: 89 MB
% 4.39/1.35 % (3734702)Instructions burned: 27 (million)
% 4.39/1.35 % (3734698)Instruction limit reached!
% 4.39/1.35 % (3734698)------------------------------
% 4.39/1.35 % (3734698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.35 % (3734698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.35 % (3734698)CaDiCaL version: 2.1.3
% 4.39/1.35 % (3734698)Termination reason: Instruction limit
% 4.39/1.35 % (3734698)Termination phase: Saturation
% 4.39/1.35 % (3734698)Time elapsed: 0.011 s
% 4.39/1.35 % (3734698)Peak memory usage: 88 MB
% 4.39/1.35 % (3734698)Instructions burned: 15 (million)
% 4.39/1.35 % (3734700)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=110768783:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.39/1.35 % (3734699)Instruction limit reached!
% 4.39/1.35 % (3734699)------------------------------
% 4.39/1.35 % (3734699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.35 % (3734699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.35 % (3734699)CaDiCaL version: 2.1.3
% 4.39/1.35 % (3734699)Termination reason: Instruction limit
% 4.39/1.35 % (3734699)Termination phase: Saturation
% 4.39/1.35 % (3734699)Time elapsed: 0.021 s
% 4.39/1.35 % (3734699)Peak memory usage: 88 MB
% 4.39/1.35 % (3734699)Instructions burned: 30 (million)
% 4.39/1.35 % (3734700)Instruction limit reached!
% 4.39/1.35 % (3734700)------------------------------
% 4.39/1.35 % (3734700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.35 % (3734700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.35 % (3734700)CaDiCaL version: 2.1.3
% 4.39/1.35 % (3734700)Termination reason: Instruction limit
% 4.39/1.35 % (3734700)Termination phase: Saturation
% 4.39/1.35 % (3734700)Time elapsed: 0.008 s
% 4.39/1.35 % (3734700)Peak memory usage: 88 MB
% 4.39/1.35 % (3734700)Instructions burned: 16 (million)
% 4.39/1.35 % (3734701)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3116706116:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.39/1.35 % (3734701)Instruction limit reached!
% 4.39/1.35 % (3734701)------------------------------
% 4.39/1.35 % (3734701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.35 % (3734701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.49 % (3734701)CaDiCaL version: 2.1.3
% 5.27/1.49 % (3734701)Termination reason: Instruction limit
% 5.27/1.49 % (3734701)Termination phase: Saturation
% 5.27/1.49 % (3734701)Time elapsed: 0.017 s
% 5.27/1.49 % (3734701)Peak memory usage: 89 MB
% 5.27/1.49 % (3734701)Instructions burned: 24 (million)
% 5.27/1.49 % (3734706)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2948989329:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 5.27/1.49 % (3734706)Instruction limit reached!
% 5.27/1.49 % (3734706)------------------------------
% 5.27/1.49 % (3734706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.49 % (3734706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.49 % (3734706)CaDiCaL version: 2.1.3
% 5.27/1.49 % (3734706)Termination reason: Instruction limit
% 5.27/1.49 % (3734706)Termination phase: Saturation
% 5.27/1.49 % (3734706)Time elapsed: 0.023 s
% 5.27/1.49 % (3734706)Peak memory usage: 88 MB
% 5.27/1.49 % (3734706)Instructions burned: 86 (million)
% 5.27/1.49 % (3734708)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3014900521:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.27/1.49 % (3734708)Instruction limit reached!
% 5.27/1.49 % (3734708)------------------------------
% 5.27/1.49 % (3734708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.49 % (3734708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.49 % (3734708)CaDiCaL version: 2.1.3
% 5.27/1.49 % (3734708)Termination reason: Instruction limit
% 5.27/1.49 % (3734708)Termination phase: Saturation
% 5.27/1.49 % (3734708)Time elapsed: 0.002 s
% 5.27/1.49 % (3734708)Peak memory usage: 88 MB
% 5.27/1.49 % (3734708)Instructions burned: 2 (million)
% 5.27/1.49 % (3734685)------------------------------
% 5.27/1.49 % (3734685)------------------------------
% 5.27/1.49 % (3734689)------------------------------
% 5.27/1.49 % (3734689)------------------------------
% 5.27/1.49 % (3734709)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1137948370:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.27/1.49 % (3734711)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3304183219:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.27/1.49 % (3734711)Instruction limit reached!
% 5.27/1.49 % (3734711)------------------------------
% 5.27/1.49 % (3734711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.49 % (3734711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.49 % (3734711)CaDiCaL version: 2.1.3
% 5.27/1.49 % (3734711)Termination reason: Instruction limit
% 5.27/1.49 % (3734711)Termination phase: Saturation
% 5.27/1.49 % (3734711)Time elapsed: 0.003 s
% 5.27/1.49 % (3734711)Peak memory usage: 88 MB
% 5.27/1.49 % (3734711)Instructions burned: 4 (million)
% 5.27/1.49 % (3734709)Refutation not found, incomplete strategy
% 5.27/1.49 % (3734709)------------------------------
% 5.27/1.49 % (3734709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.49 % (3734709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.49 % (3734709)CaDiCaL version: 2.1.3
% 5.27/1.49 % (3734709)Termination reason: Refutation not found, incomplete strategy
% 5.27/1.49 % (3734709)Time elapsed: 0.021 s
% 5.27/1.49 % (3734709)Peak memory usage: 89 MB
% 5.27/1.49 % (3734709)Instructions burned: 32 (million)
% 5.27/1.49 % (3734712)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3957795450:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.27/1.49 % (3734714)lrs+10_1_thi=all:si=on:fd=off:random_seed=963254293:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.27/1.49 % (3734714)Instruction limit reached!
% 5.27/1.49 % (3734714)------------------------------
% 5.27/1.49 % (3734714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.49 % (3734714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.49 % (3734714)CaDiCaL version: 2.1.3
% 5.27/1.49 % (3734714)Termination reason: Instruction limit
% 5.27/1.49 % (3734714)Termination phase: Saturation
% 5.27/1.49 % (3734714)Time elapsed: 0.036 s
% 5.27/1.49 % (3734714)Peak memory usage: 116 MB
% 5.27/1.49 % (3734714)Instructions burned: 55 (million)
% 5.27/1.49 % (3734712)Instruction limit reached!
% 5.27/1.49 % (3734712)------------------------------
% 5.27/1.49 % (3734712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.79 % (3734712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.79 % (3734712)CaDiCaL version: 2.1.3
% 6.54/1.79 % (3734712)Termination reason: Instruction limit
% 6.54/1.79 % (3734712)Termination phase: Saturation
% 6.54/1.79 % (3734712)Time elapsed: 0.085 s
% 6.54/1.79 % (3734712)Peak memory usage: 133 MB
% 6.54/1.79 % (3734712)Instructions burned: 67 (million)
% 6.54/1.79 % (3734716)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=2298884731:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 6.54/1.79 % (3734716)Instruction limit reached!
% 6.54/1.79 % (3734716)------------------------------
% 6.54/1.79 % (3734716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.79 % (3734716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.79 % (3734716)CaDiCaL version: 2.1.3
% 6.54/1.79 % (3734716)Termination reason: Instruction limit
% 6.54/1.79 % (3734716)Termination phase: Saturation
% 6.54/1.79 % (3734716)Time elapsed: 0.005 s
% 6.54/1.79 % (3734716)Peak memory usage: 88 MB
% 6.54/1.79 % (3734716)Instructions burned: 8 (million)
% 6.54/1.79 % (3734721)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=7891812:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 6.54/1.79 % (3734719)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2281389275:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 6.54/1.79 % (3734720)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3878253934:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.54/1.79 % (3734719)Instruction limit reached!
% 6.54/1.79 % (3734719)------------------------------
% 6.54/1.79 % (3734719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.79 % (3734719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.79 % (3734719)CaDiCaL version: 2.1.3
% 6.54/1.79 % (3734719)Termination reason: Instruction limit
% 6.54/1.79 % (3734719)Termination phase: Saturation
% 6.54/1.79 % (3734719)Time elapsed: 0.002 s
% 6.54/1.79 % (3734719)Peak memory usage: 88 MB
% 6.54/1.79 % (3734719)Instructions burned: 2 (million)
% 6.54/1.79 % (3734720)Instruction limit reached!
% 6.54/1.79 % (3734720)------------------------------
% 6.54/1.79 % (3734720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.79 % (3734720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.79 % (3734720)CaDiCaL version: 2.1.3
% 6.54/1.79 % (3734720)Termination reason: Instruction limit
% 6.54/1.79 % (3734720)Termination phase: Saturation
% 6.54/1.79 % (3734720)Time elapsed: 0.002 s
% 6.54/1.79 % (3734720)Peak memory usage: 88 MB
% 6.54/1.79 % (3734720)Instructions burned: 3 (million)
% 6.54/1.79 % (3734724)dis+10_1_si=on:random_seed=3328377396:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.54/1.79 % (3734724)Instruction limit reached!
% 6.54/1.79 % (3734724)------------------------------
% 6.54/1.79 % (3734724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.79 % (3734724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.79 % (3734724)CaDiCaL version: 2.1.3
% 6.54/1.79 % (3734724)Termination reason: Instruction limit
% 6.54/1.79 % (3734724)Termination phase: Saturation
% 6.54/1.79 % (3734724)Time elapsed: 0.007 s
% 6.54/1.79 % (3734724)Peak memory usage: 88 MB
% 6.54/1.79 % (3734724)Instructions burned: 10 (million)
% 6.54/1.79 % (3734721)Instruction limit reached!
% 6.54/1.79 % (3734721)------------------------------
% 6.54/1.79 % (3734721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.79 % (3734721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.79 % (3734721)CaDiCaL version: 2.1.3
% 6.54/1.79 % (3734721)Termination reason: Instruction limit
% 6.54/1.79 % (3734721)Termination phase: Saturation
% 6.54/1.79 % (3734721)Time elapsed: 0.109 s
% 6.54/1.79 % (3734721)Peak memory usage: 117 MB
% 6.54/1.79 % (3734721)Instructions burned: 128 (million)
% 6.54/1.79 % (3734727)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1841172195: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_2994 on theBenchmark for (2994ds/35Mi)
% 6.54/1.79 % (3734726)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3518331712:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 8.58/2.00 % (3734726)Refutation not found, incomplete strategy
% 8.58/2.00 % (3734726)------------------------------
% 8.58/2.00 % (3734726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.00 % (3734726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.00 % (3734726)CaDiCaL version: 2.1.3
% 8.58/2.00 % (3734726)Termination reason: Refutation not found, incomplete strategy
% 8.58/2.00 % (3734726)Time elapsed: 0.004 s
% 8.58/2.00 % (3734726)Peak memory usage: 89 MB
% 8.58/2.00 % (3734726)Instructions burned: 5 (million)
% 8.58/2.00 % (3734709)------------------------------
% 8.58/2.00 % (3734709)------------------------------
% 8.58/2.00 % (3734731)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1650705971:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 8.58/2.00 % (3734732)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=4066364457:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 8.58/2.00 % (3734731)Instruction limit reached!
% 8.58/2.00 % (3734731)------------------------------
% 8.58/2.00 % (3734731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.00 % (3734731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.00 % (3734731)CaDiCaL version: 2.1.3
% 8.58/2.00 % (3734731)Termination reason: Instruction limit
% 8.58/2.00 % (3734731)Termination phase: Saturation
% 8.58/2.00 % (3734731)Time elapsed: 0.002 s
% 8.58/2.00 % (3734731)Peak memory usage: 88 MB
% 8.58/2.00 % (3734731)Instructions burned: 3 (million)
% 8.58/2.00 % (3734732)Instruction limit reached!
% 8.58/2.00 % (3734732)------------------------------
% 8.58/2.00 % (3734732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.00 % (3734732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.00 % (3734732)CaDiCaL version: 2.1.3
% 8.58/2.00 % (3734732)Termination reason: Instruction limit
% 8.58/2.00 % (3734732)Termination phase: Saturation
% 8.58/2.00 % (3734732)Time elapsed: 0.006 s
% 8.58/2.00 % (3734732)Peak memory usage: 88 MB
% 8.58/2.00 % (3734732)Instructions burned: 8 (million)
% 8.58/2.00 % (3734727)Instruction limit reached!
% 8.58/2.00 % (3734727)------------------------------
% 8.58/2.00 % (3734727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.00 % (3734727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.00 % (3734727)CaDiCaL version: 2.1.3
% 8.58/2.00 % (3734727)Termination reason: Instruction limit
% 8.58/2.00 % (3734727)Termination phase: Saturation
% 8.58/2.00 % (3734727)Time elapsed: 0.026 s
% 8.58/2.00 % (3734727)Peak memory usage: 89 MB
% 8.58/2.00 % (3734727)Instructions burned: 36 (million)
% 8.58/2.00 % (3734734)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=453292415:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 8.58/2.00 % (3734737)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=85748252:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 8.58/2.00 % (3734741)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=31423037:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 8.58/2.00 % (3734740)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2008724539:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 8.58/2.00 % (3734741)Refutation not found, incomplete strategy
% 8.58/2.00 % (3734741)------------------------------
% 8.58/2.00 % (3734741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.00 % (3734741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.00 % (3734741)CaDiCaL version: 2.1.3
% 8.58/2.00 % (3734741)Termination reason: Refutation not found, incomplete strategy
% 8.58/2.00 % (3734741)Time elapsed: 0.003 s
% 8.58/2.00 % (3734741)Peak memory usage: 88 MB
% 8.58/2.00 % (3734741)Instructions burned: 3 (million)
% 8.58/2.00 % (3734737)Instruction limit reached!
% 8.58/2.00 % (3734737)------------------------------
% 8.58/2.00 % (3734737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.00 % (3734737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.31 % (3734737)CaDiCaL version: 2.1.3
% 11.46/2.31 % (3734737)Termination reason: Instruction limit
% 11.46/2.31 % (3734737)Termination phase: Saturation
% 11.46/2.31 % (3734737)Time elapsed: 0.030 s
% 11.46/2.31 % (3734737)Peak memory usage: 116 MB
% 11.46/2.31 % (3734737)Instructions burned: 13 (million)
% 11.46/2.31 % (3734742)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3021450720:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 11.46/2.31 % (3734743)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=3602098076:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 11.46/2.31 % (3734743)Instruction limit reached!
% 11.46/2.31 % (3734743)------------------------------
% 11.46/2.31 % (3734743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.31 % (3734743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.31 % (3734743)CaDiCaL version: 2.1.3
% 11.46/2.31 % (3734743)Termination reason: Instruction limit
% 11.46/2.31 % (3734743)Termination phase: Saturation
% 11.46/2.31 % (3734743)Time elapsed: 0.045 s
% 11.46/2.31 % (3734743)Peak memory usage: 89 MB
% 11.46/2.31 % (3734743)Instructions burned: 76 (million)
% 11.46/2.31 % (3734742)Refutation not found, incomplete strategy
% 11.46/2.31 % (3734742)------------------------------
% 11.46/2.31 % (3734742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.31 % (3734742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.31 % (3734742)CaDiCaL version: 2.1.3
% 11.46/2.31 % (3734742)Termination reason: Refutation not found, incomplete strategy
% 11.46/2.31 % (3734742)Time elapsed: 0.063 s
% 11.46/2.31 % (3734742)Peak memory usage: 133 MB
% 11.46/2.31 % (3734742)Instructions burned: 27 (million)
% 11.46/2.31 % (3734726)------------------------------
% 11.46/2.31 % (3734726)------------------------------
% 11.46/2.31 % (3734740)Instruction limit reached!
% 11.46/2.31 % (3734740)------------------------------
% 11.46/2.31 % (3734740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.31 % (3734740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.31 % (3734740)CaDiCaL version: 2.1.3
% 11.46/2.31 % (3734740)Termination reason: Instruction limit
% 11.46/2.31 % (3734740)Termination phase: Saturation
% 11.46/2.31 % (3734740)Time elapsed: 0.139 s
% 11.46/2.31 % (3734740)Peak memory usage: 116 MB
% 11.46/2.31 % (3734740)Instructions burned: 228 (million)
% 11.46/2.31 % (3734734)Instruction limit reached!
% 11.46/2.31 % (3734734)------------------------------
% 11.46/2.31 % (3734734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.31 % (3734734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.31 % (3734734)CaDiCaL version: 2.1.3
% 11.46/2.31 % (3734734)Termination reason: Instruction limit
% 11.46/2.31 % (3734734)Termination phase: Saturation
% 11.46/2.31 % (3734734)Time elapsed: 0.188 s
% 11.46/2.31 % (3734734)Peak memory usage: 91 MB
% 11.46/2.31 % (3734734)Instructions burned: 370 (million)
% 11.46/2.31 % (3734749)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=2888442523:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 11.46/2.31 % (3734751)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1275928677:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 11.46/2.31 % (3734754)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=2203072720:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 11.46/2.31 % (3734752)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=3505851760:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 11.46/2.31 % (3734741)------------------------------
% 11.46/2.31 % (3734741)------------------------------
% 11.46/2.31 % (3734753)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=1427965298:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 11.46/2.31 % (3734751)Instruction limit reached!
% 11.46/2.31 % (3734751)------------------------------
% 11.46/2.31 % (3734751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.31 % (3734751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.31 % (3734751)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734751)Termination reason: Instruction limit
% 11.46/2.33 % (3734751)Termination phase: Saturation
% 11.46/2.33 % (3734751)Time elapsed: 0.099 s
% 11.46/2.33 % (3734751)Peak memory usage: 116 MB
% 11.46/2.33 % (3734751)Instructions burned: 131 (million)
% 11.46/2.33 % (3734742)------------------------------
% 11.46/2.33 % (3734742)------------------------------
% 11.46/2.33 % (3734754)Instruction limit reached!
% 11.46/2.33 % (3734754)------------------------------
% 11.46/2.33 % (3734754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734754)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734754)Termination reason: Instruction limit
% 11.46/2.33 % (3734754)Termination phase: Saturation
% 11.46/2.33 % (3734754)Time elapsed: 0.097 s
% 11.46/2.33 % (3734754)Peak memory usage: 91 MB
% 11.46/2.33 % (3734754)Instructions burned: 310 (million)
% 11.46/2.33 % (3734753)Instruction limit reached!
% 11.46/2.33 % (3734753)------------------------------
% 11.46/2.33 % (3734753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734753)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734753)Termination reason: Instruction limit
% 11.46/2.33 % (3734753)Termination phase: Saturation
% 11.46/2.33 % (3734753)Time elapsed: 0.069 s
% 11.46/2.33 % (3734753)Peak memory usage: 133 MB
% 11.46/2.33 % (3734753)Instructions burned: 40 (million)
% 11.46/2.33 % (3734749)Instruction limit reached!
% 11.46/2.33 % (3734749)------------------------------
% 11.46/2.33 % (3734749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734749)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734749)Termination reason: Instruction limit
% 11.46/2.33 % (3734749)Termination phase: Saturation
% 11.46/2.33 % (3734749)Time elapsed: 0.193 s
% 11.46/2.33 % (3734749)Peak memory usage: 89 MB
% 11.46/2.33 % (3734749)Instructions burned: 294 (million)
% 11.46/2.33 % (3734752)Instruction limit reached!
% 11.46/2.33 % (3734752)------------------------------
% 11.46/2.33 % (3734752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734752)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734752)Termination reason: Instruction limit
% 11.46/2.33 % (3734752)Termination phase: Saturation
% 11.46/2.33 % (3734752)Time elapsed: 0.130 s
% 11.46/2.33 % (3734752)Peak memory usage: 133 MB
% 11.46/2.33 % (3734752)Instructions burned: 133 (million)
% 11.46/2.33 % (3734759)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=76357361:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/598Mi)
% 11.46/2.33 % (3734763)dis+10_1_si=on:random_seed=548984214:s2a=on:i=1000:rtra=on:gtg=exists_all_2988 on theBenchmark for (2988ds/1000Mi)
% 11.46/2.33 % (3734761)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1086419380:i=131:canc=cautious:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/131Mi)
% 11.46/2.33 % (3734762)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=3208983658:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2988 on theBenchmark for (2988ds/259Mi)
% 11.46/2.33 % (3734764)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=1213999773:i=383:fsr=off:rtra=on:ev=force_2988 on theBenchmark for (2988ds/383Mi)
% 11.46/2.33 % (3734764)Refutation not found, incomplete strategy
% 11.46/2.33 % (3734764)------------------------------
% 11.46/2.33 % (3734764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734764)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734764)Termination reason: Refutation not found, incomplete strategy
% 11.46/2.33 % (3734764)Time elapsed: 0.010 s
% 11.46/2.33 % (3734764)Peak memory usage: 89 MB
% 11.46/2.33 % (3734764)Instructions burned: 17 (million)
% 11.46/2.33 % (3734765)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=854576437:i=141:doe=on:rtra=on_2988 on theBenchmark for (2988ds/141Mi)
% 11.46/2.33 % (3734766)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=683286546:i=65:nm=16:rtra=on_2988 on theBenchmark for (2988ds/65Mi)
% 11.46/2.33 % (3734761)Instruction limit reached!
% 11.46/2.33 % (3734761)------------------------------
% 11.46/2.33 % (3734761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734761)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734761)Termination reason: Instruction limit
% 11.46/2.33 % (3734761)Termination phase: Saturation
% 11.46/2.33 % (3734761)Time elapsed: 0.112 s
% 11.46/2.33 % (3734761)Peak memory usage: 117 MB
% 11.46/2.33 % (3734761)Instructions burned: 131 (million)
% 11.46/2.33 % (3734766)Refutation not found, incomplete strategy
% 11.46/2.33 % (3734766)------------------------------
% 11.46/2.33 % (3734766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734766)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734766)Termination reason: Refutation not found, incomplete strategy
% 11.46/2.33 % (3734766)Time elapsed: 0.029 s
% 11.46/2.33 % (3734766)Peak memory usage: 115 MB
% 11.46/2.33 % (3734766)Instructions burned: 9 (million)
% 11.46/2.33 % (3734765)Instruction limit reached!
% 11.46/2.33 % (3734765)------------------------------
% 11.46/2.33 % (3734765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734765)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734765)Termination reason: Instruction limit
% 11.46/2.33 % (3734765)Termination phase: Saturation
% 11.46/2.33 % (3734765)Time elapsed: 0.095 s
% 11.46/2.33 % (3734765)Peak memory usage: 90 MB
% 11.46/2.33 % (3734765)Instructions burned: 142 (million)
% 11.46/2.33 % (3734762)First to succeed.
% 11.46/2.33 % (3734762)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3734679"
% 11.46/2.33 % (3734774)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=1824907936:i=121:nm=16:rtra=on_2986 on theBenchmark for (2986ds/121Mi)
% 11.46/2.33 % (3734764)------------------------------
% 11.46/2.33 % (3734764)------------------------------
% 11.46/2.33 % (3734775)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=2712151790:s2a=on:i=128:s2at=5:ins=3:rtra=on_2985 on theBenchmark for (2985ds/128Mi)
% 11.46/2.33 % (3734774)Instruction limit reached!
% 11.46/2.33 % (3734774)------------------------------
% 11.46/2.33 % (3734774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734774)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734774)Termination reason: Instruction limit
% 11.46/2.33 % (3734774)Termination phase: Saturation
% 11.46/2.33 % (3734774)Time elapsed: 0.071 s
% 11.46/2.33 % (3734774)Peak memory usage: 89 MB
% 11.46/2.33 % (3734774)Instructions burned: 123 (million)
% 11.46/2.33 % (3734759)Instruction limit reached!
% 11.46/2.33 % (3734759)------------------------------
% 11.46/2.33 % (3734759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734759)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734759)Termination reason: Instruction limit
% 11.46/2.33 % (3734759)Termination phase: Saturation
% 11.46/2.33 % (3734759)Time elapsed: 0.355 s
% 11.46/2.33 % (3734759)Peak memory usage: 136 MB
% 11.46/2.33 % (3734759)Instructions burned: 599 (million)
% 11.46/2.33 % (3734763)Instruction limit reached!
% 11.46/2.33 % (3734763)------------------------------
% 11.46/2.33 % (3734763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734763)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734763)Termination reason: Instruction limit
% 11.46/2.33 % (3734763)Termination phase: Saturation
% 11.46/2.33 % (3734763)Time elapsed: 0.331 s
% 11.46/2.33 % (3734763)Peak memory usage: 94 MB
% 11.46/2.33 % (3734763)Instructions burned: 1000 (million)
% 11.46/2.33 % (3734766)------------------------------
% 11.46/2.33 % (3734766)------------------------------
% 11.46/2.33 % (3734779)dis+1010_1_to=kbo:si=on:random_seed=3806363602:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2984 on theBenchmark for (2984ds/175Mi)
% 11.46/2.33 % (3734775)Instruction limit reached!
% 11.46/2.33 % (3734775)------------------------------
% 11.46/2.33 % (3734775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.33 % (3734775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.33 % (3734775)CaDiCaL version: 2.1.3
% 11.46/2.33 % (3734775)Termination reason: Instruction limit
% 11.46/2.33 % (3734775)Termination phase: Saturation
% 11.46/2.33 % (3734775)Time elapsed: 0.102 s
% 11.46/2.33 % (3734775)Peak memory usage: 118 MB
% 11.46/2.33 % (3734775)Instructions burned: 128 (million)
% 11.46/2.33 % (3734762)Refutation found. Thanks to Tanya!
% 11.46/2.33 % SZS status Theorem for theBenchmark
% 11.46/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 12.37/2.53 % (3734762)------------------------------
% 12.37/2.53 % (3734762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.53 % (3734762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.53 % (3734762)CaDiCaL version: 2.1.3
% 12.37/2.53 % (3734762)Termination reason: Refutation
% 12.37/2.53 % (3734762)Time elapsed: 0.144 s
% 12.37/2.53 % (3734762)Peak memory usage: 118 MB
% 12.37/2.53 % (3734762)Instructions burned: 190 (million)
% 12.37/2.53 % (3734762)------------------------------
% 12.37/2.53 % (3734762)------------------------------
% 12.37/2.53 % (3734679)Success in time 1.66 s
% 12.37/2.53 % Vampire exiting
%------------------------------------------------------------------------------