%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX039+1 : TPTP v9.3.1. Released v9.1.0.
% 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 01:45:44 PM UTC 2026
% Result : Theorem 11.27s 2.19s
% Output : Refutation 11.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 102 ( 13 unt; 7 def)
% Number of atoms : 320 ( 89 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 363 ( 145 ~; 163 |; 28 &)
% ( 7 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 84 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@+'(X0,X1) = '@+'(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(plus:commutative)') ).
fof(f60,axiom,
! [X0] :
( nat_succeeds(X0)
=> '@*'('0',X0) = '0' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','corollary-(times:zero)') ).
fof(f61,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','corollary-(times:successor)') ).
fof(f62,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> nat_succeeds('@*'(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','corollary-(times:types)') ).
fof(f65,axiom,
! [X0] :
( nat_succeeds(X0)
=> '@*'(X0,'0') = '0' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(times:zero)') ).
fof(f66,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(times:successor)') ).
fof(f67,axiom,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2] :
( nat_succeeds(X2)
=> '@*'(X1,X2) = '@*'(X2,X1) ) )
| X0 = '0' )
=> ! [X2] :
( nat_succeeds(X2)
=> '@*'(X0,X2) = '@*'(X2,X0) ) )
=> ! [X0] :
( nat_succeeds(X0)
=> ! [X2] :
( nat_succeeds(X2)
=> '@*'(X0,X2) = '@*'(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f68,conjecture,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@*'(X0,X1) = '@*'(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(times:commutative)') ).
fof(f69,negated_conjecture,
~ ! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@*'(X0,X1) = '@*'(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
fof(f79,plain,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2] :
( nat_succeeds(X2)
=> '@*'(X1,X2) = '@*'(X2,X1) ) )
| X0 = '0' )
=> ! [X3] :
( nat_succeeds(X3)
=> '@*'(X0,X3) = '@*'(X3,X0) ) )
=> ! [X4] :
( nat_succeeds(X4)
=> ! [X5] :
( nat_succeeds(X5)
=> '@*'(X4,X5) = '@*'(X5,X4) ) ) ),
inference(rectify,[],[f67]) ).
fof(f125,plain,
! [X0,X1] :
( '@+'(X0,X1) = '@+'(X1,X0)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f126,plain,
! [X0,X1] :
( '@+'(X0,X1) = '@+'(X1,X0)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f125]) ).
fof(f141,plain,
! [X0] :
( '@*'('0',X0) = '0'
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f142,plain,
! [X0,X1] :
( '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f143,plain,
! [X0,X1] :
( '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1] :
( nat_succeeds('@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f145,plain,
! [X0,X1] :
( nat_succeeds('@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f144]) ).
fof(f150,plain,
! [X0] :
( '@*'(X0,'0') = '0'
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f151,plain,
! [X0,X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f152,plain,
! [X0,X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
( ! [X4] :
( ! [X5] :
( '@*'(X4,X5) = '@*'(X5,X4)
| ~ nat_succeeds(X5) )
| ~ nat_succeeds(X4) )
| ? [X0] :
( ? [X3] :
( '@*'(X0,X3) != '@*'(X3,X0)
& nat_succeeds(X3) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2] :
( '@*'(X1,X2) = '@*'(X2,X1)
| ~ nat_succeeds(X2) ) )
| X0 = '0' ) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f154,plain,
? [X0,X1] :
( '@*'(X0,X1) != '@*'(X1,X0)
& nat_succeeds(X0)
& nat_succeeds(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f155,plain,
? [X0,X1] :
( '@*'(X0,X1) != '@*'(X1,X0)
& nat_succeeds(X0)
& nat_succeeds(X1) ),
inference(flattening,[],[f154]) ).
fof(f216,plain,
( ! [X0] :
( ! [X1] :
( '@*'(X0,X1) = '@*'(X1,X0)
| ~ nat_succeeds(X1) )
| ~ nat_succeeds(X0) )
| ? [X2] :
( ? [X3] :
( '@*'(X2,X3) != '@*'(X3,X2)
& nat_succeeds(X3) )
& ( ? [X4] :
( s(X4) = X2
& nat_succeeds(X4)
& ! [X5] :
( '@*'(X4,X5) = '@*'(X5,X4)
| ~ nat_succeeds(X5) ) )
| '0' = X2 ) ) ),
inference(rectify,[],[f153]) ).
fof(f217,plain,
( ! [X0] :
( ! [X1] :
( '@*'(X0,X1) = '@*'(X1,X0)
| ~ nat_succeeds(X1) )
| ~ nat_succeeds(X0) )
| ( '@*'(sK31,sK32) != '@*'(sK32,sK31)
& nat_succeeds(sK32)
& ( ( sK31 = s(sK33)
& nat_succeeds(sK33)
& ! [X5] :
( '@*'(sK33,X5) = '@*'(X5,sK33)
| ~ nat_succeeds(X5) ) )
| '0' = sK31 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33]),skolemize(X2,sK31),skolemize(X3,sK32),skolemize(X4,sK33)],[f216]) ).
fof(f218,plain,
( '@*'(sK34,sK35) != '@*'(sK35,sK34)
& nat_succeeds(sK34)
& nat_succeeds(sK35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f155]) ).
fof(f343,plain,
! [X0,X1] :
( ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@+'(X0,X1) = '@+'(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f352,plain,
! [X0] :
( ~ nat_succeeds(X0)
| '0' = '@*'('0',X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f353,plain,
! [X0,X1] :
( ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f354,plain,
! [X0,X1] :
( ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| nat_succeeds('@*'(X0,X1)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f357,plain,
! [X0] :
( ~ nat_succeeds(X0)
| '0' = '@*'(X0,'0') ),
inference(cnf_transformation,[],[f150]) ).
fof(f358,plain,
! [X0,X1] :
( ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f359,plain,
! [X0,X1,X5] :
( '@*'(X0,X1) = '@*'(X1,X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@*'(sK33,X5) = '@*'(X5,sK33)
| ~ nat_succeeds(X5)
| '0' = sK31 ),
inference(cnf_transformation,[],[f217]) ).
fof(f360,plain,
! [X0,X1] :
( '@*'(X0,X1) = '@*'(X1,X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| nat_succeeds(sK33)
| '0' = sK31 ),
inference(cnf_transformation,[],[f217]) ).
fof(f361,plain,
! [X0,X1] :
( '@*'(X0,X1) = '@*'(X1,X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| sK31 = s(sK33)
| '0' = sK31 ),
inference(cnf_transformation,[],[f217]) ).
fof(f362,plain,
! [X0,X1] :
( '@*'(X0,X1) = '@*'(X1,X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| nat_succeeds(sK32) ),
inference(cnf_transformation,[],[f217]) ).
fof(f363,plain,
! [X0,X1] :
( '@*'(X0,X1) = '@*'(X1,X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@*'(sK31,sK32) != '@*'(sK32,sK31) ),
inference(cnf_transformation,[],[f217]) ).
fof(f364,plain,
nat_succeeds(sK35),
inference(cnf_transformation,[],[f218]) ).
fof(f365,plain,
nat_succeeds(sK34),
inference(cnf_transformation,[],[f218]) ).
fof(f366,plain,
'@*'(sK34,sK35) != '@*'(sK35,sK34),
inference(cnf_transformation,[],[f218]) ).
fof(f411,definition,
( spl36_1
<=> '0' = sK31 ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f412,plain,
( '0' = sK31
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,definition,
( spl36_2
<=> ! [X5] :
( '@*'(sK33,X5) = '@*'(X5,sK33)
| ~ nat_succeeds(X5) ) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f415,plain,
( ! [X5] :
( ~ nat_succeeds(X5)
| '@*'(sK33,X5) = '@*'(X5,sK33) )
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f417,definition,
( spl36_3
<=> ! [X0,X1] :
( '@*'(X0,X1) = '@*'(X1,X0)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f418,plain,
( ! [X0,X1] :
( ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@*'(X0,X1) = '@*'(X1,X0) )
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( spl36_1
| spl36_2
| spl36_3 ),
inference(avatar_split_clause,[],[f359,f417,f414,f411]) ).
fof(f421,definition,
( spl36_4
<=> nat_succeeds(sK33) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
fof(f422,plain,
( nat_succeeds(sK33)
| ~ spl36_4 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( spl36_1
| spl36_4
| spl36_3 ),
inference(avatar_split_clause,[],[f360,f417,f421,f411]) ).
fof(f425,definition,
( spl36_5
<=> sK31 = s(sK33) ),
introduced(definition,[new_symbols(definition,[spl36_5])],[avatar_definition]) ).
fof(f426,plain,
( sK31 = s(sK33)
| ~ spl36_5 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( spl36_1
| spl36_5
| spl36_3 ),
inference(avatar_split_clause,[],[f361,f417,f425,f411]) ).
fof(f429,definition,
( spl36_6
<=> nat_succeeds(sK32) ),
introduced(definition,[new_symbols(definition,[spl36_6])],[avatar_definition]) ).
fof(f430,plain,
( nat_succeeds(sK32)
| ~ spl36_6 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
( spl36_6
| spl36_3 ),
inference(avatar_split_clause,[],[f362,f417,f429]) ).
fof(f433,definition,
( spl36_7
<=> '@*'(sK31,sK32) = '@*'(sK32,sK31) ),
introduced(definition,[new_symbols(definition,[spl36_7])],[avatar_definition]) ).
fof(f434,plain,
( '@*'(sK31,sK32) != '@*'(sK32,sK31)
| spl36_7 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f435,plain,
( ~ spl36_7
| spl36_3 ),
inference(avatar_split_clause,[],[f363,f417,f433]) ).
fof(f438,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| '@*'(sK34,X0) = '@*'(X0,sK34) )
| ~ spl36_3 ),
inference(resolution,[],[f365,f418]) ).
fof(f440,plain,
( '@*'(sK34,sK35) = '@*'(sK35,sK34)
| ~ spl36_3 ),
inference(resolution,[],[f364,f438]) ).
fof(f442,plain,
( $false
| ~ spl36_3 ),
inference(forward_subsumption_resolution,[],[f440,f366]) ).
fof(f443,plain,
~ spl36_3,
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f446,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| '@*'(s(X0),sK32) = '@+'(sK32,'@*'(X0,sK32)) )
| ~ spl36_6 ),
inference(resolution,[],[f353,f430]) ).
fof(f458,plain,
( '0' = '@*'(sK32,'0')
| ~ spl36_6 ),
inference(resolution,[],[f357,f430]) ).
fof(f459,plain,
( sK31 = '@*'(sK32,sK31)
| ~ spl36_1
| ~ spl36_6 ),
inference(forward_demodulation,[],[f458,f412]) ).
fof(f462,plain,
( sK31 != '@*'(sK31,sK32)
| ~ spl36_1
| ~ spl36_6
| spl36_7 ),
inference(superposition,[],[f434,f459]) ).
fof(f468,plain,
( '0' = '@*'('0',sK32)
| ~ spl36_6 ),
inference(resolution,[],[f352,f430]) ).
fof(f469,plain,
( sK31 = '@*'(sK31,sK32)
| ~ spl36_1
| ~ spl36_6 ),
inference(forward_demodulation,[],[f468,f412]) ).
fof(f472,plain,
( $false
| ~ spl36_1
| ~ spl36_6
| spl36_7 ),
inference(forward_subsumption_resolution,[],[f469,f462]) ).
fof(f473,plain,
( ~ spl36_1
| ~ spl36_6
| spl36_7 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f478,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| '@+'('@*'(X0,sK33),X0) = '@*'(X0,s(sK33)) )
| ~ spl36_4 ),
inference(resolution,[],[f422,f358]) ).
fof(f479,plain,
( '@*'(s(sK33),sK32) = '@+'(sK32,'@*'(sK33,sK32))
| ~ spl36_4
| ~ spl36_6 ),
inference(resolution,[],[f422,f446]) ).
fof(f481,plain,
( '@*'(sK31,sK32) = '@+'(sK32,'@*'(sK33,sK32))
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6 ),
inference(forward_demodulation,[],[f479,f426]) ).
fof(f482,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| '@+'('@*'(X0,sK33),X0) = '@*'(X0,sK31) )
| ~ spl36_4
| ~ spl36_5 ),
inference(forward_demodulation,[],[f478,f426]) ).
fof(f483,plain,
( '@*'(sK33,sK32) = '@*'(sK32,sK33)
| ~ spl36_2
| ~ spl36_6 ),
inference(resolution,[],[f415,f430]) ).
fof(f487,plain,
( '@*'(sK32,sK31) = '@+'('@*'(sK32,sK33),sK32)
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6 ),
inference(resolution,[],[f482,f430]) ).
fof(f493,plain,
( '@*'(sK32,sK31) = '@+'('@*'(sK33,sK32),sK32)
| ~ spl36_2
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6 ),
inference(forward_demodulation,[],[f487,f483]) ).
fof(f502,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| nat_succeeds('@*'(X0,sK32)) )
| ~ spl36_6 ),
inference(resolution,[],[f354,f430]) ).
fof(f507,plain,
( nat_succeeds('@*'(sK33,sK32))
| ~ spl36_4
| ~ spl36_6 ),
inference(resolution,[],[f502,f422]) ).
fof(f581,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| '@+'(X0,sK32) = '@+'(sK32,X0) )
| ~ spl36_6 ),
inference(resolution,[],[f343,f430]) ).
fof(f604,plain,
( '@+'(sK32,'@*'(sK33,sK32)) = '@+'('@*'(sK33,sK32),sK32)
| ~ spl36_4
| ~ spl36_6 ),
inference(resolution,[],[f581,f507]) ).
fof(f613,plain,
( '@*'(sK32,sK31) = '@+'(sK32,'@*'(sK33,sK32))
| ~ spl36_2
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6 ),
inference(forward_demodulation,[],[f604,f493]) ).
fof(f615,plain,
( '@*'(sK31,sK32) = '@*'(sK32,sK31)
| ~ spl36_2
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6 ),
inference(forward_demodulation,[],[f613,f481]) ).
fof(f616,plain,
( $false
| ~ spl36_2
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| spl36_7 ),
inference(forward_subsumption_resolution,[],[f615,f434]) ).
fof(f617,plain,
( ~ spl36_2
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| spl36_7 ),
inference(avatar_contradiction_clause,[],[f616]) ).
cnf(s1,plain,
( spl36_1
| spl36_2
| spl36_3 ),
inference(sat_conversion,[],[f419]) ).
cnf(s2,plain,
( spl36_1
| spl36_3
| spl36_4 ),
inference(sat_conversion,[],[f423]) ).
cnf(s3,plain,
( spl36_1
| spl36_3
| spl36_5 ),
inference(sat_conversion,[],[f427]) ).
cnf(s4,plain,
( spl36_3
| spl36_6 ),
inference(sat_conversion,[],[f431]) ).
cnf(s5,plain,
( spl36_3
| ~ spl36_7 ),
inference(sat_conversion,[],[f435]) ).
cnf(s6,plain,
~ spl36_3,
inference(sat_conversion,[],[f443]) ).
cnf(s7,plain,
( ~ spl36_1
| ~ spl36_6
| spl36_7 ),
inference(sat_conversion,[],[f473]) ).
cnf(s8,plain,
( ~ spl36_2
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| spl36_7 ),
inference(sat_conversion,[],[f617]) ).
cnf(s9,plain,
~ spl36_7,
inference(rat,[],[s5,s6]) ).
cnf(s10,plain,
spl36_6,
inference(rat,[],[s4,s6]) ).
cnf(s11,plain,
~ spl36_1,
inference(rat,[],[s7,s9,s10]) ).
cnf(s12,plain,
spl36_5,
inference(rat,[],[s3,s6,s11]) ).
cnf(s13,plain,
spl36_4,
inference(rat,[],[s2,s6,s11]) ).
cnf(s14,plain,
~ spl36_2,
inference(rat,[],[s8,s9,s10,s12,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s6,s14,s11]) ).
fof(f618,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX039+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 % Computer : n018.cluster.edu
% 0.07/0.23 % Model : x86_64 x86_64
% 0.07/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.23 % Memory : 8046.5625MB
% 0.07/0.23 % OS : Linux 6.8.0-71-generic
% 0.07/0.23 % CPULimit : 300
% 0.07/0.23 % WCLimit : 300
% 0.07/0.23 % DateTime : Mon Sep 28 14:54:25 UTC 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.28 Running first-order theorem proving
% 0.07/0.28 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
% 11.27/2.19 % (3459003)Detected formulas, will run a generic FOF schedule.
% 11.27/2.19 % (3459019)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1513452534:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.27/2.19 % (3459019)Refutation not found, incomplete strategy
% 11.27/2.19 % (3459019)------------------------------
% 11.27/2.19 % (3459019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459019)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459019)Termination reason: Refutation not found, incomplete strategy
% 11.27/2.19 % (3459019)Time elapsed: 0.003 s
% 11.27/2.19 % (3459019)Peak memory usage: 88 MB
% 11.27/2.19 % (3459019)Instructions burned: 4 (million)
% 11.27/2.19 % (3459020)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2331278101:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.27/2.19 % (3459016)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1625683764:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.27/2.19 % (3459017)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3565531277:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.27/2.19 % (3459021)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2269990351:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.27/2.19 % (3459018)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2789848677:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.27/2.19 % (3459022)dis-21_1_sil=8000:lcm=predicate:random_seed=2822055484:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.27/2.19 % (3459020)Instruction limit reached!
% 11.27/2.19 % (3459020)------------------------------
% 11.27/2.19 % (3459020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459020)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459020)Termination reason: Instruction limit
% 11.27/2.19 % (3459020)Termination phase: Saturation
% 11.27/2.19 % (3459020)Time elapsed: 0.071 s
% 11.27/2.19 % (3459020)Peak memory usage: 88 MB
% 11.27/2.19 % (3459020)Instructions burned: 119 (million)
% 11.27/2.19 % (3459022)Instruction limit reached!
% 11.27/2.19 % (3459022)------------------------------
% 11.27/2.19 % (3459022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459022)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459022)Termination reason: Instruction limit
% 11.27/2.19 % (3459022)Termination phase: Saturation
% 11.27/2.19 % (3459022)Time elapsed: 0.130 s
% 11.27/2.19 % (3459022)Peak memory usage: 89 MB
% 11.27/2.19 % (3459022)Instructions burned: 129 (million)
% 11.27/2.19 % (3459021)Instruction limit reached!
% 11.27/2.19 % (3459021)------------------------------
% 11.27/2.19 % (3459021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459021)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459021)Termination reason: Instruction limit
% 11.27/2.19 % (3459021)Termination phase: Saturation
% 11.27/2.19 % (3459021)Time elapsed: 0.154 s
% 11.27/2.19 % (3459021)Peak memory usage: 90 MB
% 11.27/2.19 % (3459021)Instructions burned: 140 (million)
% 11.27/2.19 % (3459019)------------------------------
% 11.27/2.19 % (3459019)------------------------------
% 11.27/2.19 % (3459032)lrs+10_1_sil=8000:sp=occurrence:random_seed=3657071413:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.27/2.19 % (3459037)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=243158164:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.27/2.19 % (3459035)lrs+10_1_sil=32000:urr=on:br=off:random_seed=745871575:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.27/2.19 % (3459036)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2051028962:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.27/2.19 % (3459032)Instruction limit reached!
% 11.27/2.19 % (3459032)------------------------------
% 11.27/2.19 % (3459032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459032)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459032)Termination reason: Instruction limit
% 11.27/2.19 % (3459032)Termination phase: Saturation
% 11.27/2.19 % (3459032)Time elapsed: 0.251 s
% 11.27/2.19 % (3459032)Peak memory usage: 92 MB
% 11.27/2.19 % (3459032)Instructions burned: 286 (million)
% 11.27/2.19 % (3459037)Instruction limit reached!
% 11.27/2.19 % (3459037)------------------------------
% 11.27/2.19 % (3459037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459037)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459037)Termination reason: Instruction limit
% 11.27/2.19 % (3459037)Termination phase: Saturation
% 11.27/2.19 % (3459037)Time elapsed: 0.111 s
% 11.27/2.19 % (3459037)Peak memory usage: 94 MB
% 11.27/2.19 % (3459037)Instructions burned: 248 (million)
% 11.27/2.19 % (3459035)Instruction limit reached!
% 11.27/2.19 % (3459035)------------------------------
% 11.27/2.19 % (3459035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459035)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459035)Termination reason: Instruction limit
% 11.27/2.19 % (3459035)Termination phase: Saturation
% 11.27/2.19 % (3459035)Time elapsed: 0.131 s
% 11.27/2.19 % (3459035)Peak memory usage: 92 MB
% 11.27/2.19 % (3459035)Instructions burned: 157 (million)
% 11.27/2.19 % (3459046)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3794941876:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.27/2.19 % (3459047)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=384660607:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.27/2.19 % (3459036)Instruction limit reached!
% 11.27/2.19 % (3459036)------------------------------
% 11.27/2.19 % (3459036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459036)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459036)Termination reason: Instruction limit
% 11.27/2.19 % (3459036)Termination phase: Saturation
% 11.27/2.19 % (3459036)Time elapsed: 0.307 s
% 11.27/2.19 % (3459036)Peak memory usage: 93 MB
% 11.27/2.19 % (3459036)Instructions burned: 325 (million)
% 11.27/2.19 % (3459050)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3657590889:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.27/2.19 % (3459046)Instruction limit reached!
% 11.27/2.19 % (3459046)------------------------------
% 11.27/2.19 % (3459046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459046)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459046)Termination reason: Instruction limit
% 11.27/2.19 % (3459046)Termination phase: Saturation
% 11.27/2.19 % (3459046)Time elapsed: 0.177 s
% 11.27/2.19 % (3459046)Peak memory usage: 90 MB
% 11.27/2.19 % (3459046)Instructions burned: 295 (million)
% 11.27/2.19 % (3459050)Instruction limit reached!
% 11.27/2.19 % (3459050)------------------------------
% 11.27/2.19 % (3459050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459050)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459050)Termination reason: Instruction limit
% 11.27/2.19 % (3459050)Termination phase: Saturation
% 11.27/2.19 % (3459050)Time elapsed: 0.122 s
% 11.27/2.19 % (3459050)Peak memory usage: 90 MB
% 11.27/2.19 % (3459050)Instructions burned: 113 (million)
% 11.27/2.19 % (3459054)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3050506779:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 11.27/2.19 % (3459056)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3768787059:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 11.27/2.19 % (3459017)First to succeed.
% 11.27/2.19 % (3459017)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3459003"
% 11.27/2.19 % (3459054)Instruction limit reached!
% 11.27/2.19 % (3459054)------------------------------
% 11.27/2.19 % (3459054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459054)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459054)Termination reason: Instruction limit
% 11.27/2.19 % (3459054)Termination phase: Saturation
% 11.27/2.19 % (3459054)Time elapsed: 0.110 s
% 11.27/2.19 % (3459054)Peak memory usage: 89 MB
% 11.27/2.19 % (3459054)Instructions burned: 127 (million)
% 11.27/2.19 % (3459056)Instruction limit reached!
% 11.27/2.19 % (3459056)------------------------------
% 11.27/2.19 % (3459056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.19 % (3459056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.19 % (3459056)CaDiCaL version: 2.1.3
% 11.27/2.19 % (3459056)Termination reason: Instruction limit
% 11.27/2.19 % (3459056)Termination phase: Saturation
% 11.27/2.19 % (3459056)Time elapsed: 0.088 s
% 11.27/2.19 % (3459056)Peak memory usage: 89 MB
% 11.27/2.19 % (3459056)Instructions burned: 114 (million)
% 11.27/2.19 % (3459016)Also succeeded, but the first one will report.
% 11.27/2.19 % (3459058)lrs+10_1_sil=8000:sp=occurrence:random_seed=2393510658:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 11.27/2.19 % (3459062)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=703788363:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 11.27/2.19 % (3459063)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3527276185:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 11.27/2.19 % (3459018)Also succeeded, but the first one will report.
% 11.27/2.19 % (3459017)Refutation found. Thanks to Tanya!
% 11.27/2.19 % SZS status Theorem for theBenchmark
% 11.27/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 11.74/2.39 % (3459017)------------------------------
% 11.74/2.39 % (3459017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.39 % (3459017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.39 % (3459017)CaDiCaL version: 2.1.3
% 11.74/2.39 % (3459017)Termination reason: Refutation
% 11.74/2.39 % (3459017)Time elapsed: 1.002 s
% 11.74/2.39 % (3459017)Peak memory usage: 131 MB
% 11.74/2.39 % (3459017)Instructions burned: 1026 (million)
% 11.74/2.39 % (3459017)------------------------------
% 11.74/2.39 % (3459017)------------------------------
% 11.74/2.39 % (3459003)Success in time 1.6 s
% 11.74/2.39 % Vampire exiting
%------------------------------------------------------------------------------