%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX043+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 : n004.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 4.53s 1.72s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 90 ( 20 unt; 9 def)
% Number of atoms : 301 ( 59 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 340 ( 129 ~; 146 |; 42 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 109 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0,X1] :
( '@=<_succeeds'(X0,X1)
<=> ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@=<_succeeds'(X2,X3) )
| X0 = '0' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id21) ).
fof(f45,axiom,
! [X0] : '@+'('0',X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:zero)') ).
fof(f46,axiom,
! [X0,X1] :
( nat_succeeds(X0)
=> '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:successor)') ).
fof(f107,axiom,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@=<_succeeds'(X2,X3)
=> '@=<_succeeds'('@+'(X1,X2),'@+'(X1,X3)) ) )
| X0 = '0' )
=> ! [X2,X3] :
( '@=<_succeeds'(X2,X3)
=> '@=<_succeeds'('@+'(X0,X2),'@+'(X0,X3)) ) )
=> ! [X0] :
( nat_succeeds(X0)
=> ! [X2,X3] :
( '@=<_succeeds'(X2,X3)
=> '@=<_succeeds'('@+'(X0,X2),'@+'(X0,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
fof(f108,conjecture,
! [X0,X1,X2] :
( ( nat_succeeds(X0)
& '@=<_succeeds'(X1,X2) )
=> '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(leq:plus:second)') ).
fof(f109,negated_conjecture,
~ ! [X0,X1,X2] :
( ( nat_succeeds(X0)
& '@=<_succeeds'(X1,X2) )
=> '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f108]) ).
fof(f119,plain,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@=<_succeeds'(X2,X3)
=> '@=<_succeeds'('@+'(X1,X2),'@+'(X1,X3)) ) )
| X0 = '0' )
=> ! [X4,X5] :
( '@=<_succeeds'(X4,X5)
=> '@=<_succeeds'('@+'(X0,X4),'@+'(X0,X5)) ) )
=> ! [X6] :
( nat_succeeds(X6)
=> ! [X7,X8] :
( '@=<_succeeds'(X7,X8)
=> '@=<_succeeds'('@+'(X6,X7),'@+'(X6,X8)) ) ) ),
inference(rectify,[],[f107]) ).
fof(f157,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f251,plain,
( ! [X6] :
( ! [X7,X8] :
( '@=<_succeeds'('@+'(X6,X7),'@+'(X6,X8))
| ~ '@=<_succeeds'(X7,X8) )
| ~ nat_succeeds(X6) )
| ? [X0] :
( ? [X4,X5] :
( ~ '@=<_succeeds'('@+'(X0,X4),'@+'(X0,X5))
& '@=<_succeeds'(X4,X5) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@=<_succeeds'('@+'(X1,X2),'@+'(X1,X3))
| ~ '@=<_succeeds'(X2,X3) ) )
| X0 = '0' ) ) ),
inference(ennf_transformation,[],[f119]) ).
fof(f252,plain,
? [X0,X1,X2] :
( ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
& nat_succeeds(X0)
& '@=<_succeeds'(X1,X2) ),
inference(ennf_transformation,[],[f109]) ).
fof(f253,plain,
? [X0,X1,X2] :
( ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
& nat_succeeds(X0)
& '@=<_succeeds'(X1,X2) ),
inference(flattening,[],[f252]) ).
fof(f277,plain,
! [X0,X1] :
( ( '@=<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) )
& '0' != X0 ) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@=<_succeeds'(X2,X3) )
| X0 = '0'
| ~ '@=<_succeeds'(X0,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f278,plain,
! [X0,X1] :
( ( '@=<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) )
& '0' != X0 ) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@=<_succeeds'(X2,X3) )
| X0 = '0'
| ~ '@=<_succeeds'(X0,X1) ) ),
inference(flattening,[],[f277]) ).
fof(f279,plain,
! [X0,X1] :
( ( '@=<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) )
& '0' != X0 ) )
& ( ? [X4,X5] :
( s(X4) = X0
& s(X5) = X1
& '@=<_succeeds'(X4,X5) )
| X0 = '0'
| ~ '@=<_succeeds'(X0,X1) ) ),
inference(rectify,[],[f278]) ).
fof(f280,plain,
! [X0,X1] :
( ( '@=<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) )
& '0' != X0 ) )
& ( ( s(sK12(X0,X1)) = X0
& s(sK13(X0,X1)) = X1
& '@=<_succeeds'(sK12(X0,X1),sK13(X0,X1)) )
| X0 = '0'
| ~ '@=<_succeeds'(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f279]) ).
fof(f319,plain,
( ! [X0] :
( ! [X1,X2] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ '@=<_succeeds'(X1,X2) )
| ~ nat_succeeds(X0) )
| ? [X3] :
( ? [X4,X5] :
( ~ '@=<_succeeds'('@+'(X3,X4),'@+'(X3,X5))
& '@=<_succeeds'(X4,X5) )
& ( ? [X6] :
( s(X6) = X3
& nat_succeeds(X6)
& ! [X7,X8] :
( '@=<_succeeds'('@+'(X6,X7),'@+'(X6,X8))
| ~ '@=<_succeeds'(X7,X8) ) )
| '0' = X3 ) ) ),
inference(rectify,[],[f251]) ).
fof(f320,plain,
( ! [X0] :
( ! [X1,X2] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ '@=<_succeeds'(X1,X2) )
| ~ nat_succeeds(X0) )
| ( ~ '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
& '@=<_succeeds'(sK37,sK38)
& ( ( sK36 = s(sK39)
& nat_succeeds(sK39)
& ! [X7,X8] :
( '@=<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
| ~ '@=<_succeeds'(X7,X8) ) )
| '0' = sK36 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39]),skolemize(X3,sK36),skolemize(X4,sK37),skolemize(X5,sK38),skolemize(X6,sK39)],[f319]) ).
fof(f321,plain,
( ~ '@=<_succeeds'('@+'(sK40,sK41),'@+'(sK40,sK42))
& nat_succeeds(sK40)
& '@=<_succeeds'(sK41,sK42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42]),skolemize(X0,sK40),skolemize(X1,sK41),skolemize(X2,sK42)],[f253]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( '@=<_succeeds'(X0,X1)
| s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
fof(f440,plain,
! [X0] : '@+'('0',X0) = X0,
inference(cnf_transformation,[],[f45]) ).
fof(f441,plain,
! [X0,X1] :
( ~ nat_succeeds(X0)
| '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f502,plain,
! [X2,X0,X1,X8,X7] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ '@=<_succeeds'(X1,X2)
| ~ nat_succeeds(X0)
| '@=<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
| ~ '@=<_succeeds'(X7,X8)
| '0' = sK36 ),
inference(cnf_transformation,[],[f320]) ).
fof(f503,plain,
! [X2,X0,X1] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ '@=<_succeeds'(X1,X2)
| ~ nat_succeeds(X0)
| nat_succeeds(sK39)
| '0' = sK36 ),
inference(cnf_transformation,[],[f320]) ).
fof(f504,plain,
! [X2,X0,X1] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ '@=<_succeeds'(X1,X2)
| ~ nat_succeeds(X0)
| sK36 = s(sK39)
| '0' = sK36 ),
inference(cnf_transformation,[],[f320]) ).
fof(f505,plain,
! [X2,X0,X1] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ '@=<_succeeds'(X1,X2)
| ~ nat_succeeds(X0)
| '@=<_succeeds'(sK37,sK38) ),
inference(cnf_transformation,[],[f320]) ).
fof(f506,plain,
! [X2,X0,X1] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ '@=<_succeeds'(X1,X2)
| ~ nat_succeeds(X0)
| ~ '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38)) ),
inference(cnf_transformation,[],[f320]) ).
fof(f507,plain,
'@=<_succeeds'(sK41,sK42),
inference(cnf_transformation,[],[f321]) ).
fof(f508,plain,
nat_succeeds(sK40),
inference(cnf_transformation,[],[f321]) ).
fof(f509,plain,
~ '@=<_succeeds'('@+'(sK40,sK41),'@+'(sK40,sK42)),
inference(cnf_transformation,[],[f321]) ).
fof(f528,plain,
! [X2,X3,X1] :
( '@=<_succeeds'(s(X2),X1)
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) ),
inference(equality_resolution,[],[f382]) ).
fof(f529,plain,
! [X2,X3] :
( '@=<_succeeds'(s(X2),s(X3))
| ~ '@=<_succeeds'(X2,X3) ),
inference(equality_resolution,[],[f528]) ).
fof(f553,definition,
sF43 = '@+'(sK40,sK41),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
fof(f554,plain,
'@+'(sK40,sK41) = sF43,
inference(reorient_equations,[],[f553]) ).
fof(f555,definition,
sF44 = '@+'(sK40,sK42),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f556,plain,
'@+'(sK40,sK42) = sF44,
inference(reorient_equations,[],[f555]) ).
fof(f557,plain,
~ '@=<_succeeds'(sF43,sF44),
inference(definition_folding,[],[f509,f556,f554]) ).
fof(f559,definition,
( spl45_1
<=> '0' = sK36 ),
introduced(definition,[new_symbols(definition,[spl45_1])],[avatar_definition]) ).
fof(f561,plain,
( '0' = sK36
| ~ spl45_1 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f563,definition,
( spl45_2
<=> ! [X8,X7] :
( '@=<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
| ~ '@=<_succeeds'(X7,X8) ) ),
introduced(definition,[new_symbols(definition,[spl45_2])],[avatar_definition]) ).
fof(f564,plain,
( ! [X8,X7] :
( '@=<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
| ~ '@=<_succeeds'(X7,X8) )
| ~ spl45_2 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,definition,
( spl45_3
<=> ! [X2,X0,X1] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ nat_succeeds(X0)
| ~ '@=<_succeeds'(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl45_3])],[avatar_definition]) ).
fof(f567,plain,
( ! [X2,X0,X1] :
( '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ nat_succeeds(X0)
| ~ '@=<_succeeds'(X1,X2) )
| ~ spl45_3 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f568,plain,
( spl45_1
| spl45_2
| spl45_3 ),
inference(avatar_split_clause,[],[f502,f566,f563,f559]) ).
fof(f570,definition,
( spl45_4
<=> nat_succeeds(sK39) ),
introduced(definition,[new_symbols(definition,[spl45_4])],[avatar_definition]) ).
fof(f572,plain,
( nat_succeeds(sK39)
| ~ spl45_4 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f573,plain,
( spl45_1
| spl45_4
| spl45_3 ),
inference(avatar_split_clause,[],[f503,f566,f570,f559]) ).
fof(f575,definition,
( spl45_5
<=> sK36 = s(sK39) ),
introduced(definition,[new_symbols(definition,[spl45_5])],[avatar_definition]) ).
fof(f577,plain,
( sK36 = s(sK39)
| ~ spl45_5 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( spl45_1
| spl45_5
| spl45_3 ),
inference(avatar_split_clause,[],[f504,f566,f575,f559]) ).
fof(f580,definition,
( spl45_6
<=> '@=<_succeeds'(sK37,sK38) ),
introduced(definition,[new_symbols(definition,[spl45_6])],[avatar_definition]) ).
fof(f582,plain,
( '@=<_succeeds'(sK37,sK38)
| ~ spl45_6 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,plain,
( spl45_6
| spl45_3 ),
inference(avatar_split_clause,[],[f505,f566,f580]) ).
fof(f585,definition,
( spl45_7
<=> '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38)) ),
introduced(definition,[new_symbols(definition,[spl45_7])],[avatar_definition]) ).
fof(f587,plain,
( ~ '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
| spl45_7 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,plain,
( ~ spl45_7
| spl45_3 ),
inference(avatar_split_clause,[],[f506,f566,f585]) ).
fof(f594,plain,
( ! [X0] :
( '@=<_succeeds'('@+'(sK40,X0),sF44)
| ~ nat_succeeds(sK40)
| ~ '@=<_succeeds'(X0,sK42) )
| ~ spl45_3 ),
inference(superposition,[],[f567,f556]) ).
fof(f595,plain,
( ! [X0] :
( '@=<_succeeds'('@+'(sK40,X0),sF44)
| ~ '@=<_succeeds'(X0,sK42) )
| ~ spl45_3 ),
inference(forward_subsumption_resolution,[],[f594,f508]) ).
fof(f619,plain,
( '@=<_succeeds'(sF43,sF44)
| ~ '@=<_succeeds'(sK41,sK42)
| ~ spl45_3 ),
inference(superposition,[],[f595,f554]) ).
fof(f630,plain,
( ~ '@=<_succeeds'(sK41,sK42)
| ~ spl45_3 ),
inference(forward_subsumption_resolution,[],[f619,f557]) ).
fof(f631,plain,
( $false
| ~ spl45_3 ),
inference(forward_subsumption_resolution,[],[f630,f507]) ).
fof(f632,plain,
~ spl45_3,
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f634,plain,
( ! [X0] : '@+'(s(sK39),X0) = s('@+'(sK39,X0))
| ~ spl45_4 ),
inference(resolution,[],[f572,f441]) ).
fof(f635,plain,
( ! [X0] : s('@+'(sK39,X0)) = '@+'(sK36,X0)
| ~ spl45_4
| ~ spl45_5 ),
inference(forward_demodulation,[],[f634,f577]) ).
fof(f636,plain,
( ! [X0,X1] :
( '@=<_succeeds'(s(X1),'@+'(sK36,X0))
| ~ '@=<_succeeds'(X1,'@+'(sK39,X0)) )
| ~ spl45_4
| ~ spl45_5 ),
inference(superposition,[],[f529,f635]) ).
fof(f638,plain,
( ! [X0,X1] :
( ~ '@=<_succeeds'('@+'(sK39,X0),'@+'(sK39,X1))
| '@=<_succeeds'('@+'(sK36,X0),'@+'(sK36,X1)) )
| ~ spl45_4
| ~ spl45_5 ),
inference(superposition,[],[f636,f635]) ).
fof(f639,plain,
( ! [X0,X1] :
( '@=<_succeeds'('@+'(sK36,X0),'@+'(sK36,X1))
| ~ '@=<_succeeds'(X0,X1) )
| ~ spl45_2
| ~ spl45_4
| ~ spl45_5 ),
inference(resolution,[],[f638,f564]) ).
fof(f640,plain,
( ~ '@=<_succeeds'(sK37,sK38)
| ~ spl45_2
| ~ spl45_4
| ~ spl45_5
| spl45_7 ),
inference(resolution,[],[f639,f587]) ).
fof(f641,plain,
( $false
| ~ spl45_2
| ~ spl45_4
| ~ spl45_5
| ~ spl45_6
| spl45_7 ),
inference(forward_subsumption_resolution,[],[f640,f582]) ).
fof(f642,plain,
( ~ spl45_2
| ~ spl45_4
| ~ spl45_5
| ~ spl45_6
| spl45_7 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f644,plain,
( ~ '@=<_succeeds'('@+'('0',sK37),'@+'('0',sK38))
| ~ spl45_1
| spl45_7 ),
inference(superposition,[],[f587,f561]) ).
fof(f645,plain,
( ~ '@=<_succeeds'('@+'('0',sK37),sK38)
| ~ spl45_1
| spl45_7 ),
inference(forward_demodulation,[],[f644,f440]) ).
fof(f646,plain,
( ~ '@=<_succeeds'(sK37,sK38)
| ~ spl45_1
| spl45_7 ),
inference(forward_demodulation,[],[f645,f440]) ).
fof(f647,plain,
( $false
| ~ spl45_1
| ~ spl45_6
| spl45_7 ),
inference(forward_subsumption_resolution,[],[f646,f582]) ).
fof(f648,plain,
( ~ spl45_1
| ~ spl45_6
| spl45_7 ),
inference(avatar_contradiction_clause,[],[f647]) ).
cnf(s1,plain,
( spl45_1
| spl45_2
| spl45_3 ),
inference(sat_conversion,[],[f568]) ).
cnf(s2,plain,
( spl45_1
| spl45_3
| spl45_4 ),
inference(sat_conversion,[],[f573]) ).
cnf(s3,plain,
( spl45_1
| spl45_3
| spl45_5 ),
inference(sat_conversion,[],[f578]) ).
cnf(s4,plain,
( spl45_3
| spl45_6 ),
inference(sat_conversion,[],[f583]) ).
cnf(s5,plain,
( spl45_3
| ~ spl45_7 ),
inference(sat_conversion,[],[f588]) ).
cnf(s9,plain,
~ spl45_3,
inference(sat_conversion,[],[f632]) ).
cnf(s10,plain,
( ~ spl45_2
| ~ spl45_4
| ~ spl45_5
| ~ spl45_6
| spl45_7 ),
inference(sat_conversion,[],[f642]) ).
cnf(s11,plain,
( ~ spl45_1
| ~ spl45_6
| spl45_7 ),
inference(sat_conversion,[],[f648]) ).
cnf(s12,plain,
~ spl45_7,
inference(rat,[],[s5,s9]) ).
cnf(s13,plain,
spl45_6,
inference(rat,[],[s4,s9]) ).
cnf(s14,plain,
~ spl45_1,
inference(rat,[],[s11,s12,s13]) ).
cnf(s15,plain,
spl45_5,
inference(rat,[],[s3,s9,s14]) ).
cnf(s16,plain,
spl45_4,
inference(rat,[],[s2,s9,s14]) ).
cnf(s17,plain,
~ spl45_2,
inference(rat,[],[s10,s12,s13,s15,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s9,s17,s14]) ).
fof(f649,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX043+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % 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 14:55:37 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.53/1.72 % (436951)Detected formulas, will run a generic FOF schedule.
% 4.53/1.72 % (436962)dis-21_1_sil=8000:lcm=predicate:random_seed=1948804555: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)
% 4.53/1.72 % (436960)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2468377991:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.53/1.72 % (436959)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3270188571:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.53/1.72 % (436958)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=2374138442:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.53/1.72 % (436957)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=1868770169:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.53/1.72 % (436956)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=3555890028:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.53/1.72 % (436961)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2535004210:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.53/1.72 % (436962)Instruction limit reached!
% 4.53/1.72 % (436962)------------------------------
% 4.53/1.72 % (436962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436962)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436962)Termination reason: Instruction limit
% 4.53/1.72 % (436962)Termination phase: Saturation
% 4.53/1.72 % (436962)Time elapsed: 0.044 s
% 4.53/1.72 % (436962)Peak memory usage: 89 MB
% 4.53/1.72 % (436962)Instructions burned: 130 (million)
% 4.53/1.72 % (436959)Instruction limit reached!
% 4.53/1.72 % (436959)------------------------------
% 4.53/1.72 % (436959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436959)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436959)Termination reason: Instruction limit
% 4.53/1.72 % (436959)Termination phase: Saturation
% 4.53/1.72 % (436959)Time elapsed: 0.072 s
% 4.53/1.72 % (436959)Peak memory usage: 90 MB
% 4.53/1.72 % (436959)Instructions burned: 109 (million)
% 4.53/1.72 % (436960)Instruction limit reached!
% 4.53/1.72 % (436960)------------------------------
% 4.53/1.72 % (436960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436960)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436960)Termination reason: Instruction limit
% 4.53/1.72 % (436960)Termination phase: Saturation
% 4.53/1.72 % (436960)Time elapsed: 0.074 s
% 4.53/1.72 % (436960)Peak memory usage: 88 MB
% 4.53/1.72 % (436960)Instructions burned: 120 (million)
% 4.53/1.72 % (436970)lrs+10_1_sil=8000:sp=occurrence:random_seed=2438472528:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.53/1.72 % (436961)Instruction limit reached!
% 4.53/1.72 % (436961)------------------------------
% 4.53/1.72 % (436961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436961)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436961)Termination reason: Instruction limit
% 4.53/1.72 % (436961)Termination phase: Saturation
% 4.53/1.72 % (436961)Time elapsed: 0.098 s
% 4.53/1.72 % (436961)Peak memory usage: 90 MB
% 4.53/1.72 % (436961)Instructions burned: 140 (million)
% 4.53/1.72 % (436970)Instruction limit reached!
% 4.53/1.72 % (436970)------------------------------
% 4.53/1.72 % (436970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436970)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436970)Termination reason: Instruction limit
% 4.53/1.72 % (436970)Termination phase: Saturation
% 4.53/1.72 % (436970)Time elapsed: 0.102 s
% 4.53/1.72 % (436970)Peak memory usage: 92 MB
% 4.53/1.72 % (436970)Instructions burned: 286 (million)
% 4.53/1.72 % (436972)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3104629163:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.53/1.72 % (436971)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1983102821:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.53/1.72 % (436974)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=565202499:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.53/1.72 % (436971)Instruction limit reached!
% 4.53/1.72 % (436971)------------------------------
% 4.53/1.72 % (436971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436971)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436971)Termination reason: Instruction limit
% 4.53/1.72 % (436971)Termination phase: Saturation
% 4.53/1.72 % (436971)Time elapsed: 0.080 s
% 4.53/1.72 % (436971)Peak memory usage: 93 MB
% 4.53/1.72 % (436971)Instructions burned: 158 (million)
% 4.53/1.72 % (436977)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1547583471:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.53/1.72 % (436974)Instruction limit reached!
% 4.53/1.72 % (436974)------------------------------
% 4.53/1.72 % (436974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436974)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436974)Termination reason: Instruction limit
% 4.53/1.72 % (436974)Termination phase: Saturation
% 4.53/1.72 % (436974)Time elapsed: 0.127 s
% 4.53/1.72 % (436974)Peak memory usage: 94 MB
% 4.53/1.72 % (436974)Instructions burned: 250 (million)
% 4.53/1.72 % (436977)Instruction limit reached!
% 4.53/1.72 % (436977)------------------------------
% 4.53/1.72 % (436977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436977)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436977)Termination reason: Instruction limit
% 4.53/1.72 % (436977)Termination phase: Saturation
% 4.53/1.72 % (436977)Time elapsed: 0.093 s
% 4.53/1.72 % (436977)Peak memory usage: 90 MB
% 4.53/1.72 % (436977)Instructions burned: 295 (million)
% 4.53/1.72 % (436980)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2684603977:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.53/1.72 % (436972)Instruction limit reached!
% 4.53/1.72 % (436972)------------------------------
% 4.53/1.72 % (436972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436972)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436972)Termination reason: Instruction limit
% 4.53/1.72 % (436972)Termination phase: Saturation
% 4.53/1.72 % (436972)Time elapsed: 0.229 s
% 4.53/1.72 % (436972)Peak memory usage: 92 MB
% 4.53/1.72 % (436972)Instructions burned: 326 (million)
% 4.53/1.72 % (436982)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1827995865:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.53/1.72 % (436982)Instruction limit reached!
% 4.53/1.72 % (436982)------------------------------
% 4.53/1.72 % (436982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436982)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436982)Termination reason: Instruction limit
% 4.53/1.72 % (436982)Termination phase: Saturation
% 4.53/1.72 % (436982)Time elapsed: 0.036 s
% 4.53/1.72 % (436981)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2713006013:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.53/1.72 % (436982)Peak memory usage: 89 MB
% 4.53/1.72 % (436982)Instructions burned: 130 (million)
% 4.53/1.72 % (436984)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=967897773:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.53/1.72 % (436981)Instruction limit reached!
% 4.53/1.72 % (436981)------------------------------
% 4.53/1.72 % (436981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436981)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436981)Termination reason: Instruction limit
% 4.53/1.72 % (436981)Termination phase: Saturation
% 4.53/1.72 % (436981)Time elapsed: 0.076 s
% 4.53/1.72 % (436981)Peak memory usage: 90 MB
% 4.53/1.72 % (436981)Instructions burned: 113 (million)
% 4.53/1.72 % (436987)lrs+10_1_sil=8000:sp=occurrence:random_seed=2488371663:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 4.53/1.72 % (436984)Instruction limit reached!
% 4.53/1.72 % (436984)------------------------------
% 4.53/1.72 % (436984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436984)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436984)Termination reason: Instruction limit
% 4.53/1.72 % (436984)Termination phase: Saturation
% 4.53/1.72 % (436984)Time elapsed: 0.072 s
% 4.53/1.72 % (436984)Peak memory usage: 89 MB
% 4.53/1.72 % (436984)Instructions burned: 114 (million)
% 4.53/1.72 % (436957)Also succeeded, but the first one will report.
% 4.53/1.72 % (436956)First to succeed.
% 4.53/1.72 % (436956)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-436951"
% 4.53/1.72 % (436958)Also succeeded, but the first one will report.
% 4.53/1.72 % (436989)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1405562090:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 4.53/1.72 % (436991)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1322998504:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 4.53/1.72 % (436987)Instruction limit reached!
% 4.53/1.72 % (436987)------------------------------
% 4.53/1.72 % (436987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.72 % (436987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.72 % (436987)CaDiCaL version: 2.1.3
% 4.53/1.72 % (436987)Termination reason: Instruction limit
% 4.53/1.72 % (436987)Termination phase: Saturation
% 4.53/1.72 % (436987)Time elapsed: 0.298 s
% 4.53/1.72 % (436987)Peak memory usage: 98 MB
% 4.53/1.72 % (436987)Instructions burned: 908 (million)
% 4.53/1.72 % (436956)Refutation found. Thanks to Tanya!
% 4.53/1.72 % SZS status Theorem for theBenchmark
% 4.53/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.90 % (436956)------------------------------
% 0.19/1.90 % (436956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.90 % (436956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.90 % (436956)CaDiCaL version: 2.1.3
% 0.19/1.90 % (436956)Termination reason: Refutation
% 0.19/1.90 % (436956)Time elapsed: 0.641 s
% 0.19/1.90 % (436956)Peak memory usage: 130 MB
% 0.19/1.90 % (436956)Instructions burned: 970 (million)
% 0.19/1.90 % (436956)------------------------------
% 0.19/1.90 % (436956)------------------------------
% 0.19/1.90 % (436951)Success in time 1.045 s
% 0.19/1.90 % Vampire exiting
%------------------------------------------------------------------------------