%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX092_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:45:52 PM UTC 2026
% Result : Theorem 3.75s 1.21s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 97 ( 17 unt; 0 typ; 13 def)
% Number of atoms : 315 ( 18 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 402 ( 184 ~; 171 |; 27 &)
% ( 13 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 375 ( 65 atm; 120 fun; 105 num; 85 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 25 ( 20 usr; 10 prp; 0-2 aty)
% Number of functors : 17 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 101 ( 87 !; 14 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
general: $tType ).
tff(type_def_6,type,
symbol: $tType ).
tff(func_def_0,type,
f__integer__: $int > general ).
tff(func_def_1,type,
f__symbolic__: symbol > general ).
tff(func_def_2,type,
c__infimum__: general ).
tff(func_def_3,type,
c__supremum__: general ).
tff(func_def_4,type,
n_i: $int ).
tff(func_def_9,type,
sK0: general > symbol ).
tff(func_def_10,type,
sK1: general > $int ).
tff(func_def_11,type,
sK2: $int ).
tff(func_def_12,type,
sK3: $int ).
tff(func_def_13,type,
sF4: $int ).
tff(func_def_14,type,
sF5: general ).
tff(func_def_15,type,
sF6: general ).
tff(func_def_16,type,
sF7: general ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(pred_def_8,type,
three: general > $o ).
tff(pred_def_9,type,
sqrt: general > $o ).
tff(pred_def_10,type,
three_p: general > $o ).
tff(pred_def_11,type,
more_than_three: general > $o ).
tff(pred_def_12,type,
sqrt: ( general * general ) > $o ).
tff(f6,axiom,
! [X0: $int,X1: $int] :
( p__less_equal__(f__integer__(X0),f__integer__(X1))
<=> $lesseq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',numeral_ordering_ax) ).
tff(f8,axiom,
! [X1: general,X0: general,X2: general] :
( ( p__less_equal__(X0,X1)
& p__less_equal__(X1,X2) )
=> p__less_equal__(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_ordering_ax) ).
tff(f21,axiom,
! [X0: $int,X1: $int] :
( sqrt(f__integer__(X0),f__integer__(X1))
<=> ( $greatereq(X0,0)
& $lesseq($product(X0,X0),X1)
& $less(X1,$product($sum(X0,1),$sum(X0,1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_unnamed_formula) ).
tff(f22,axiom,
! [X0: $int,X1: $int] :
( ( sqrt(f__integer__(X0),f__integer__(X1))
& $lesseq($product($sum(X0,1),$sum(X0,1)),$sum(X1,1)) )
=> sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6_unnamed_formula) ).
tff(f23,conjecture,
! [X0: $int] :
( ( ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0))
& $greatereq(X0,0) )
=> ? [X1: $int] : sqrt(f__integer__(X1),f__integer__($sum(X0,1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7_inductive_step) ).
tff(f24,negated_conjecture,
~ ! [X0: $int] :
( ( ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0))
& $greatereq(X0,0) )
=> ? [X1: $int] : sqrt(f__integer__(X1),f__integer__($sum(X0,1))) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
tff(f28,plain,
~ ! [X0: $int] :
( ( ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0))
& ~ $less(X0,0) )
=> ? [X1: $int] : sqrt(f__integer__(X1),f__integer__($sum(X0,1))) ),
inference(theory_normalization,[],[f24]) ).
tff(f30,plain,
! [X1: $int,X0: $int] :
( ( sqrt(f__integer__(X0),f__integer__(X1))
& ~ $less($sum(X1,1),$product($sum(X0,1),$sum(X0,1))) )
=> sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1))) ),
inference(theory_normalization,[],[f22]) ).
tff(f31,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X1,$product(X0,X0))
& $less(X1,$product($sum(X0,1),$sum(X0,1)))
& ~ $less(X0,0) )
<=> sqrt(f__integer__(X0),f__integer__(X1)) ),
inference(theory_normalization,[],[f21]) ).
tff(f33,plain,
! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
<=> p__less_equal__(f__integer__(X0),f__integer__(X1)) ),
inference(theory_normalization,[],[f6]) ).
tff(f37,plain,
~ ! [X0: $int] :
( ( ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0))
& ~ $less(X0,0) )
=> ? [X2: $int] : sqrt(f__integer__(X2),f__integer__($sum(X0,1))) ),
inference(rectify,[],[f28]) ).
tff(f47,plain,
! [X1: $int,X0: $int] :
( sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1)))
| ~ sqrt(f__integer__(X0),f__integer__(X1))
| $less($sum(X1,1),$product($sum(X0,1),$sum(X0,1))) ),
inference(ennf_transformation,[],[f30]) ).
tff(f48,plain,
! [X0: $int,X1: $int] :
( ~ sqrt(f__integer__(X0),f__integer__(X1))
| $less($sum(X1,1),$product($sum(X0,1),$sum(X0,1)))
| sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1))) ),
inference(flattening,[],[f47]) ).
tff(f53,plain,
! [X1: general,X0: general,X2: general] :
( p__less_equal__(X0,X2)
| ~ p__less_equal__(X0,X1)
| ~ p__less_equal__(X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
tff(f54,plain,
! [X2: general,X0: general,X1: general] :
( ~ p__less_equal__(X1,X2)
| p__less_equal__(X0,X2)
| ~ p__less_equal__(X0,X1) ),
inference(flattening,[],[f53]) ).
tff(f55,plain,
? [X0: $int] :
( ! [X2: $int] : ~ sqrt(f__integer__(X2),f__integer__($sum(X0,1)))
& ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0))
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f37]) ).
tff(f56,plain,
? [X0: $int] :
( ! [X2: $int] : ~ sqrt(f__integer__(X2),f__integer__($sum(X0,1)))
& ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0))
& ~ $less(X0,0) ),
inference(flattening,[],[f55]) ).
tff(f59,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X1,X0)
| ~ p__less_equal__(f__integer__(X0),f__integer__(X1)) )
& ( p__less_equal__(f__integer__(X0),f__integer__(X1))
| $less(X1,X0) ) ),
inference(nnf_transformation,[],[f33]) ).
tff(f60,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,X1)
| ~ p__less_equal__(f__integer__(X1),f__integer__(X0)) )
& ( p__less_equal__(f__integer__(X1),f__integer__(X0))
| $less(X0,X1) ) ),
inference(rectify,[],[f59]) ).
tff(f64,plain,
! [X0: general,X1: general,X2: general] :
( ~ p__less_equal__(X2,X0)
| p__less_equal__(X1,X0)
| ~ p__less_equal__(X1,X2) ),
inference(rectify,[],[f54]) ).
tff(f68,plain,
? [X0: $int] :
( ! [X1: $int] : ~ sqrt(f__integer__(X1),f__integer__($sum(X0,1)))
& ? [X2: $int] : sqrt(f__integer__(X2),f__integer__(X0))
& ~ $less(X0,0) ),
inference(rectify,[],[f56]) ).
tff(f69,plain,
( ! [X1: $int] : ~ sqrt(f__integer__(X1),f__integer__($sum(sK2,1)))
& sqrt(f__integer__(sK3),f__integer__(sK2))
& ~ $less(sK2,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X2,sK3)],[f68]) ).
tff(f70,plain,
! [X0: $int,X1: $int] :
( ( ( ~ $less(X1,$product(X0,X0))
& $less(X1,$product($sum(X0,1),$sum(X0,1)))
& ~ $less(X0,0) )
| ~ sqrt(f__integer__(X0),f__integer__(X1)) )
& ( sqrt(f__integer__(X0),f__integer__(X1))
| $less(X1,$product(X0,X0))
| ~ $less(X1,$product($sum(X0,1),$sum(X0,1)))
| $less(X0,0) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f71,plain,
! [X0: $int,X1: $int] :
( ( ( ~ $less(X1,$product(X0,X0))
& $less(X1,$product($sum(X0,1),$sum(X0,1)))
& ~ $less(X0,0) )
| ~ sqrt(f__integer__(X0),f__integer__(X1)) )
& ( sqrt(f__integer__(X0),f__integer__(X1))
| $less(X1,$product(X0,X0))
| ~ $less(X1,$product($sum(X0,1),$sum(X0,1)))
| $less(X0,0) ) ),
inference(flattening,[],[f70]) ).
tff(f77,plain,
! [X0: $int,X1: $int] :
( p__less_equal__(f__integer__(X1),f__integer__(X0))
| $less(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tff(f78,plain,
! [X0: $int,X1: $int] :
( ~ p__less_equal__(f__integer__(X1),f__integer__(X0))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tff(f83,plain,
! [X2: general,X0: general,X1: general] :
( p__less_equal__(X1,X0)
| ~ p__less_equal__(X1,X2)
| ~ p__less_equal__(X2,X0) ),
inference(cnf_transformation,[],[f64]) ).
tff(f89,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,1),$product($sum(X0,1),$sum(X0,1)))
| ~ sqrt(f__integer__(X0),f__integer__(X1))
| sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1))) ),
inference(cnf_transformation,[],[f48]) ).
tff(f92,plain,
sqrt(f__integer__(sK3),f__integer__(sK2)),
inference(cnf_transformation,[],[f69]) ).
tff(f93,plain,
! [X1: $int] : ~ sqrt(f__integer__(X1),f__integer__($sum(sK2,1))),
inference(cnf_transformation,[],[f69]) ).
tff(f94,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$product($sum(X0,1),$sum(X0,1)))
| $less(X1,$product(X0,X0))
| $less(X0,0)
| sqrt(f__integer__(X0),f__integer__(X1)) ),
inference(cnf_transformation,[],[f71]) ).
tff(f95,plain,
! [X0: $int,X1: $int] :
( ~ sqrt(f__integer__(X0),f__integer__(X1))
| ~ $less(X0,0) ),
inference(cnf_transformation,[],[f71]) ).
tff(f97,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$product(X0,X0))
| ~ sqrt(f__integer__(X0),f__integer__(X1)) ),
inference(cnf_transformation,[],[f71]) ).
tff(f101,definition,
sF4 = $sum(sK2,1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f102,plain,
$sum(sK2,1) = sF4,
inference(reorient_equations,[],[f101]) ).
tff(f103,definition,
sF5 = f__integer__(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f104,plain,
f__integer__(sF4) = sF5,
inference(reorient_equations,[],[f103]) ).
tff(f105,plain,
! [X1: $int] : ~ sqrt(f__integer__(X1),sF5),
inference(definition_folding,[],[f93,f104,f102]) ).
tff(f106,definition,
sF6 = f__integer__(sK3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f107,definition,
sF7 = f__integer__(sK2),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f108,plain,
f__integer__(sK2) = sF7,
inference(reorient_equations,[],[f107]) ).
tff(f109,plain,
sqrt(sF6,sF7),
inference(definition_folding,[],[f92,f108,f106]) ).
tff(f116,definition,
( spl8_2
<=> sqrt(sF6,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
tff(f118,plain,
( sqrt(sF6,sF7)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f116]) ).
tff(f119,plain,
spl8_2,
inference(avatar_split_clause,[],[f109,f116]) ).
tff(f121,definition,
( spl8_3
<=> ( f__integer__(sK2) = sF7 ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
tff(f123,plain,
( ( f__integer__(sK2) = sF7 )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f124,plain,
spl8_3,
inference(avatar_split_clause,[],[f108,f121]) ).
tff(f126,definition,
( spl8_4
<=> ( sF6 = f__integer__(sK3) ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
tff(f128,plain,
( ( sF6 = f__integer__(sK3) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f129,plain,
spl8_4,
inference(avatar_split_clause,[],[f106,f126]) ).
tff(f131,definition,
( spl8_5
<=> ( f__integer__(sF4) = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
tff(f133,plain,
( ( f__integer__(sF4) = sF5 )
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f134,plain,
spl8_5,
inference(avatar_split_clause,[],[f104,f131]) ).
tff(f141,definition,
( spl8_7
<=> ( $sum(sK2,1) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
tff(f143,plain,
( ( $sum(sK2,1) = sF4 )
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f144,plain,
spl8_7,
inference(avatar_split_clause,[],[f102,f141]) ).
tff(f184,plain,
( ( sF5 = f__integer__($sum(sK2,1)) )
| ~ spl8_5
| ~ spl8_7 ),
inference(superposition,[],[f133,f143]) ).
tff(f186,definition,
( spl8_14
<=> ( sF5 = f__integer__($sum(sK2,1)) ) ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
tff(f188,plain,
( ( sF5 = f__integer__($sum(sK2,1)) )
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f186]) ).
tff(f189,plain,
( spl8_14
| ~ spl8_5
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f184,f141,f131,f186]) ).
tff(f221,plain,
( ! [X0: $int] :
( p__less_equal__(sF7,f__integer__(X0))
| $less(X0,sK2) )
| ~ spl8_3 ),
inference(superposition,[],[f77,f123]) ).
tff(f225,plain,
( ! [X0: $int] :
( p__less_equal__(f__integer__(X0),sF7)
| $less(sK2,X0) )
| ~ spl8_3 ),
inference(superposition,[],[f77,f123]) ).
tff(f227,plain,
( ! [X0: $int] :
( $less(sF4,X0)
| p__less_equal__(f__integer__(X0),sF5) )
| ~ spl8_5 ),
inference(superposition,[],[f77,f133]) ).
tff(f228,plain,
( ! [X0: $int] :
( $less($sum(sK2,1),X0)
| p__less_equal__(f__integer__(X0),sF5) )
| ~ spl8_5
| ~ spl8_7 ),
inference(forward_demodulation,[],[f227,f143]) ).
tff(f240,plain,
( ! [X0: $int] :
( ~ p__less_equal__(f__integer__(X0),sF5)
| ~ $less(sF4,X0) )
| ~ spl8_5 ),
inference(superposition,[],[f78,f133]) ).
tff(f241,plain,
( ! [X0: $int] :
( ~ $less($sum(sK2,1),X0)
| ~ p__less_equal__(f__integer__(X0),sF5) )
| ~ spl8_5
| ~ spl8_7 ),
inference(forward_demodulation,[],[f240,f143]) ).
tff(f261,plain,
( ! [X0: $int] :
( ~ sqrt(f__integer__(X0),sF7)
| ~ $less(X0,0) )
| ~ spl8_3 ),
inference(superposition,[],[f95,f123]) ).
tff(f440,plain,
( $less(sF4,sK2)
| p__less_equal__(sF7,sF5)
| ~ spl8_3
| ~ spl8_5 ),
inference(superposition,[],[f221,f133]) ).
tff(f450,plain,
( $less($sum(sK2,1),sK2)
| p__less_equal__(sF7,sF5)
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7 ),
inference(forward_demodulation,[],[f440,f143]) ).
tff(f452,definition,
( spl8_38
<=> p__less_equal__(sF7,sF5) ),
introduced(definition,[new_symbols(definition,[spl8_38])],[avatar_definition]) ).
tff(f454,plain,
( p__less_equal__(sF7,sF5)
| ~ spl8_38 ),
inference(avatar_component_clause,[],[f452]) ).
tff(f456,definition,
( spl8_39
<=> $less($sum(sK2,1),sK2) ),
introduced(definition,[new_symbols(definition,[spl8_39])],[avatar_definition]) ).
tff(f460,plain,
( spl8_39
| spl8_38
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f450,f141,f131,f121,f452,f456]) ).
tff(f652,plain,
( ! [X0: $int] :
( $less(X0,0)
| p__less_equal__(f__integer__($product($sum(X0,1),$sum(X0,1))),sF5)
| $less($sum(sK2,1),$product(X0,X0))
| sqrt(f__integer__(X0),f__integer__($sum(sK2,1))) )
| ~ spl8_5
| ~ spl8_7 ),
inference(resolution,[],[f228,f94]) ).
tff(f653,plain,
( ! [X0: $int] :
( p__less_equal__(f__integer__($product($sum(X0,1),$sum(X0,1))),sF5)
| $less($sum(sK2,1),$product(X0,X0))
| $less(X0,0)
| sqrt(f__integer__(X0),sF5) )
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(forward_demodulation,[],[f652,f188]) ).
tff(f661,plain,
( ! [X0: $int] :
( p__less_equal__(f__integer__($product($sum(X0,1),$sum(X0,1))),sF5)
| $less(X0,0)
| $less($sum(sK2,1),$product(X0,X0)) )
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(forward_subsumption_resolution,[],[f653,f105]) ).
tff(f669,plain,
( ! [X0: $int] :
( ~ p__less_equal__(f__integer__($product($sum(X0,1),$sum(X0,1))),sF5)
| ~ sqrt(f__integer__(X0),f__integer__(sK2))
| sqrt(f__integer__($sum(X0,1)),f__integer__($sum(sK2,1))) )
| ~ spl8_5
| ~ spl8_7 ),
inference(resolution,[],[f241,f89]) ).
tff(f673,plain,
( ! [X0: $int] :
( sqrt(f__integer__($sum(X0,1)),f__integer__($sum(sK2,1)))
| ~ sqrt(f__integer__(X0),sF7)
| ~ p__less_equal__(f__integer__($product($sum(X0,1),$sum(X0,1))),sF5) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7 ),
inference(forward_demodulation,[],[f669,f123]) ).
tff(f675,plain,
( ! [X0: $int] :
( ~ p__less_equal__(f__integer__($product($sum(X0,1),$sum(X0,1))),sF5)
| ~ sqrt(f__integer__(X0),sF7)
| sqrt(f__integer__($sum(X0,1)),sF5) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(forward_demodulation,[],[f673,f188]) ).
tff(f676,plain,
( ! [X0: $int] :
( ~ p__less_equal__(f__integer__($product($sum(X0,1),$sum(X0,1))),sF5)
| ~ sqrt(f__integer__(X0),sF7) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(forward_subsumption_resolution,[],[f675,f105]) ).
tff(f677,plain,
( ! [X0: $int] :
( $less($sum(sK2,1),$product(X0,X0))
| ~ sqrt(f__integer__(X0),sF7)
| $less(X0,0) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(resolution,[],[f676,f661]) ).
tff(f680,plain,
( ! [X0: $int] :
( $less($sum(sK2,1),$product(X0,X0))
| ~ sqrt(f__integer__(X0),sF7) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(forward_subsumption_resolution,[],[f677,f261]) ).
tff(f685,plain,
( ! [X0: $int] :
( ~ p__less_equal__(f__integer__($product(X0,X0)),sF5)
| ~ sqrt(f__integer__(X0),sF7) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(resolution,[],[f680,f241]) ).
tff(f723,plain,
( ! [X0: $int,X1: general] :
( ~ p__less_equal__(f__integer__($product(X0,X0)),X1)
| ~ sqrt(f__integer__(X0),sF7)
| ~ p__less_equal__(X1,sF5) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(resolution,[],[f685,f83]) ).
tff(f749,plain,
( ! [X0: $int] :
( $less(sK2,$product(X0,X0))
| ~ sqrt(f__integer__(X0),sF7)
| ~ p__less_equal__(sF7,sF5) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14 ),
inference(resolution,[],[f723,f225]) ).
tff(f753,plain,
( ! [X0: $int] :
( $less(sK2,$product(X0,X0))
| ~ sqrt(f__integer__(X0),sF7) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14
| ~ spl8_38 ),
inference(forward_subsumption_resolution,[],[f749,f454]) ).
tff(f759,definition,
( spl8_58
<=> ! [X0: $int] : ~ sqrt(f__integer__(X0),sF7) ),
introduced(definition,[new_symbols(definition,[spl8_58])],[avatar_definition]) ).
tff(f760,plain,
( ! [X0: $int] : ~ sqrt(f__integer__(X0),sF7)
| ~ spl8_58 ),
inference(avatar_component_clause,[],[f759]) ).
tff(f893,plain,
( ~ sqrt(sF6,sF7)
| ~ spl8_4
| ~ spl8_58 ),
inference(superposition,[],[f760,f128]) ).
tff(f901,plain,
( $false
| ~ spl8_2
| ~ spl8_4
| ~ spl8_58 ),
inference(forward_subsumption_resolution,[],[f893,f118]) ).
tff(f902,plain,
( ~ spl8_2
| ~ spl8_4
| ~ spl8_58 ),
inference(avatar_contradiction_clause,[],[f901]) ).
tff(f1471,plain,
( ! [X0: $int] :
( ~ sqrt(f__integer__(X0),f__integer__(sK2))
| ~ sqrt(f__integer__(X0),sF7) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14
| ~ spl8_38 ),
inference(resolution,[],[f753,f97]) ).
tff(f1477,plain,
( ! [X0: $int] :
( ~ sqrt(f__integer__(X0),sF7)
| ~ sqrt(f__integer__(X0),sF7) )
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14
| ~ spl8_38 ),
inference(forward_demodulation,[],[f1471,f123]) ).
tff(f1478,plain,
( ! [X0: $int] : ~ sqrt(f__integer__(X0),sF7)
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14
| ~ spl8_38 ),
inference(duplicate_literal_removal,[],[f1477]) ).
tff(f1480,plain,
( spl8_58
| ~ spl8_3
| ~ spl8_5
| ~ spl8_7
| ~ spl8_14
| ~ spl8_38 ),
inference(avatar_split_clause,[],[f1478,f452,f186,f141,f131,f121,f759]) ).
tff(f1481,plain,
$false,
inference(avatar_smt_refutation,[],[f1480,f902,f460,f189,f144,f134,f129,f124,f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX092_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 14:58:41 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 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
% 3.75/1.20 % (2475691)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.75/1.20 % (2475702)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3479359021:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.75/1.20 % (2475701)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4057840588:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.75/1.20 % (2475697)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4030190557:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.75/1.20 % (2475696)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=917040155:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.75/1.20 % (2475698)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3820840051:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.75/1.20 % (2475702)Instruction limit reached!
% 3.75/1.20 % (2475702)------------------------------
% 3.75/1.20 % (2475702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.20 % (2475702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.20 % (2475702)CaDiCaL version: 2.1.3
% 3.75/1.20 % (2475702)Termination reason: Instruction limit
% 3.75/1.20 % (2475702)Termination phase: Saturation
% 3.75/1.20 % (2475702)Time elapsed: 0.029 s
% 3.75/1.20 % (2475702)Peak memory usage: 116 MB
% 3.75/1.20 % (2475702)Instructions burned: 34 (million)
% 3.75/1.20 % (2475699)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=260455205:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.75/1.20 % (2475700)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2217822677:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.75/1.20 % (2475700)Instruction limit reached!
% 3.75/1.20 % (2475700)------------------------------
% 3.75/1.20 % (2475700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.20 % (2475700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.20 % (2475700)CaDiCaL version: 2.1.3
% 3.75/1.20 % (2475700)Termination reason: Instruction limit
% 3.75/1.20 % (2475700)Termination phase: Saturation
% 3.75/1.20 % (2475700)Time elapsed: 0.004 s
% 3.75/1.20 % (2475700)Peak memory usage: 89 MB
% 3.75/1.20 % (2475700)Instructions burned: 5 (million)
% 3.75/1.20 % (2475699)Instruction limit reached!
% 3.75/1.20 % (2475699)------------------------------
% 3.75/1.20 % (2475699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.20 % (2475699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.20 % (2475699)CaDiCaL version: 2.1.3
% 3.75/1.20 % (2475699)Termination reason: Instruction limit
% 3.75/1.20 % (2475699)Termination phase: Saturation
% 3.75/1.20 % (2475699)Time elapsed: 0.005 s
% 3.75/1.20 % (2475699)Peak memory usage: 88 MB
% 3.75/1.20 % (2475699)Instructions burned: 7 (million)
% 3.75/1.20 % (2475696)Instruction limit reached!
% 3.75/1.20 % (2475696)------------------------------
% 3.75/1.20 % (2475696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.20 % (2475696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.20 % (2475696)CaDiCaL version: 2.1.3
% 3.75/1.20 % (2475696)Termination reason: Instruction limit
% 3.75/1.20 % (2475696)Termination phase: Saturation
% 3.75/1.20 % (2475696)Time elapsed: 0.030 s
% 3.75/1.20 % (2475696)Peak memory usage: 115 MB
% 3.75/1.20 % (2475696)Instructions burned: 12 (million)
% 3.75/1.20 % (2475701)Instruction limit reached!
% 3.75/1.20 % (2475701)------------------------------
% 3.75/1.20 % (2475701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.20 % (2475701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.20 % (2475701)CaDiCaL version: 2.1.3
% 3.75/1.20 % (2475701)Termination reason: Instruction limit
% 3.75/1.20 % (2475701)Termination phase: Saturation
% 3.75/1.20 % (2475701)Time elapsed: 0.055 s
% 3.75/1.20 % (2475701)Peak memory usage: 117 MB
% 3.75/1.20 % (2475701)Instructions burned: 46 (million)
% 3.75/1.20 % (2475710)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1743959352:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.75/1.20 % (2475697)First to succeed.
% 3.75/1.20 % (2475710)Instruction limit reached!
% 3.75/1.20 % (2475710)------------------------------
% 3.75/1.21 % (2475710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475710)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475710)Termination reason: Instruction limit
% 3.75/1.21 % (2475710)Termination phase: Saturation
% 3.75/1.21 % (2475710)Time elapsed: 0.006 s
% 3.75/1.21 % (2475710)Peak memory usage: 88 MB
% 3.75/1.21 % (2475710)Instructions burned: 16 (million)
% 3.75/1.21 % (2475697)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2475691"
% 3.75/1.21 % (2475698)Instruction limit reached!
% 3.75/1.21 % (2475698)------------------------------
% 3.75/1.21 % (2475698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475698)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475698)Termination reason: Instruction limit
% 3.75/1.21 % (2475698)Termination phase: Saturation
% 3.75/1.21 % (2475698)Time elapsed: 0.125 s
% 3.75/1.21 % (2475698)Peak memory usage: 117 MB
% 3.75/1.21 % (2475698)Instructions burned: 201 (million)
% 3.75/1.21 % (2475711)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=2455591289:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.75/1.21 % (2475712)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3757644702:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.75/1.21 % (2475712)Instruction limit reached!
% 3.75/1.21 % (2475712)------------------------------
% 3.75/1.21 % (2475712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475712)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475712)Termination reason: Instruction limit
% 3.75/1.21 % (2475712)Termination phase: Saturation
% 3.75/1.21 % (2475712)Time elapsed: 0.011 s
% 3.75/1.21 % (2475712)Peak memory usage: 90 MB
% 3.75/1.21 % (2475712)Instructions burned: 16 (million)
% 3.75/1.21 % (2475711)Instruction limit reached!
% 3.75/1.21 % (2475711)------------------------------
% 3.75/1.21 % (2475711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475711)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475711)Termination reason: Instruction limit
% 3.75/1.21 % (2475711)Termination phase: Saturation
% 3.75/1.21 % (2475711)Time elapsed: 0.024 s
% 3.75/1.21 % (2475711)Peak memory usage: 89 MB
% 3.75/1.21 % (2475711)Instructions burned: 30 (million)
% 3.75/1.21 % (2475713)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2079467273:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.75/1.21 % (2475713)Instruction limit reached!
% 3.75/1.21 % (2475713)------------------------------
% 3.75/1.21 % (2475713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475713)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475713)Termination reason: Instruction limit
% 3.75/1.21 % (2475713)Termination phase: Saturation
% 3.75/1.21 % (2475713)Time elapsed: 0.019 s
% 3.75/1.21 % (2475713)Peak memory usage: 89 MB
% 3.75/1.21 % (2475713)Instructions burned: 25 (million)
% 3.75/1.21 % (2475714)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=1899750172:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.75/1.21 % (2475714)Instruction limit reached!
% 3.75/1.21 % (2475714)------------------------------
% 3.75/1.21 % (2475714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475714)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475714)Termination reason: Instruction limit
% 3.75/1.21 % (2475714)Termination phase: Saturation
% 3.75/1.21 % (2475714)Time elapsed: 0.017 s
% 3.75/1.21 % (2475714)Peak memory usage: 89 MB
% 3.75/1.21 % (2475714)Instructions burned: 30 (million)
% 3.75/1.21 % (2475716)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1849661480:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.75/1.21 % (2475716)Instruction limit reached!
% 3.75/1.21 % (2475716)------------------------------
% 3.75/1.21 % (2475716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475716)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475716)Termination reason: Instruction limit
% 3.75/1.21 % (2475716)Termination phase: Saturation
% 3.75/1.21 % (2475716)Time elapsed: 0.023 s
% 3.75/1.21 % (2475716)Peak memory usage: 89 MB
% 3.75/1.21 % (2475716)Instructions burned: 88 (million)
% 3.75/1.21 % (2475717)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1104816337:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 3.75/1.21 % (2475717)Instruction limit reached!
% 3.75/1.21 % (2475717)------------------------------
% 3.75/1.21 % (2475717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475717)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475717)Termination reason: Instruction limit
% 3.75/1.21 % (2475717)Termination phase: Saturation
% 3.75/1.21 % (2475717)Time elapsed: 0.002 s
% 3.75/1.21 % (2475717)Peak memory usage: 87 MB
% 3.75/1.21 % (2475717)Instructions burned: 2 (million)
% 3.75/1.21 % (2475721)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=831338662:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.75/1.21 % (2475721)Instruction limit reached!
% 3.75/1.21 % (2475721)------------------------------
% 3.75/1.21 % (2475721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475721)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475721)Termination reason: Instruction limit
% 3.75/1.21 % (2475721)Termination phase: Saturation
% 3.75/1.21 % (2475721)Time elapsed: 0.004 s
% 3.75/1.21 % (2475721)Peak memory usage: 88 MB
% 3.75/1.21 % (2475721)Instructions burned: 5 (million)
% 3.75/1.21 % (2475720)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2968164005:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.75/1.21 % (2475724)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4035299481:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.75/1.21 % (2475720)Refutation not found, incomplete strategy
% 3.75/1.21 % (2475720)------------------------------
% 3.75/1.21 % (2475720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475720)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475720)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.21 % (2475720)Time elapsed: 0.031 s
% 3.75/1.21 % (2475720)Peak memory usage: 89 MB
% 3.75/1.21 % (2475720)Instructions burned: 43 (million)
% 3.75/1.21 % (2475728)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=339620983:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 3.75/1.21 % (2475728)Instruction limit reached!
% 3.75/1.21 % (2475728)------------------------------
% 3.75/1.21 % (2475728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475728)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475728)Termination reason: Instruction limit
% 3.75/1.21 % (2475728)Termination phase: Saturation
% 3.75/1.21 % (2475728)Time elapsed: 0.003 s
% 3.75/1.21 % (2475728)Peak memory usage: 88 MB
% 3.75/1.21 % (2475728)Instructions burned: 8 (million)
% 3.75/1.21 % (2475725)lrs+10_1_thi=all:si=on:fd=off:random_seed=3100932180:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.75/1.21 % (2475724)Instruction limit reached!
% 3.75/1.21 % (2475724)------------------------------
% 3.75/1.21 % (2475724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (2475724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (2475724)CaDiCaL version: 2.1.3
% 3.75/1.21 % (2475724)Termination reason: Instruction limit
% 3.75/1.21 % (2475724)Termination phase: Saturation
% 3.75/1.21 % (2475724)Time elapsed: 0.096 s
% 3.75/1.21 % (2475724)Peak memory usage: 134 MB
% 3.75/1.21 % (2475724)Instructions burned: 66 (million)
% 3.75/1.21 % (2475697)Refutation found. Thanks to Tanya!
% 3.75/1.21 % SZS status Theorem for theBenchmark
% 3.75/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.40 % (2475697)------------------------------
% 0.19/1.40 % (2475697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.40 % (2475697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.40 % (2475697)CaDiCaL version: 2.1.3
% 0.19/1.40 % (2475697)Termination reason: Refutation
% 0.19/1.40 % (2475697)Time elapsed: 0.112 s
% 0.19/1.40 % (2475697)Peak memory usage: 118 MB
% 0.19/1.40 % (2475697)Instructions burned: 122 (million)
% 0.19/1.40 % (2475697)------------------------------
% 0.19/1.40 % (2475697)------------------------------
% 0.19/1.40 % (2475691)Success in time 0.553 s
% 0.19/1.40 % Vampire exiting
%------------------------------------------------------------------------------