%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM514+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:15:32 PM UTC 2026
% Result : Theorem 2.69s 1.30s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 95 ( 29 unt; 5 def)
% Number of atoms : 329 ( 91 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 390 ( 156 ~; 158 |; 56 &)
% ( 14 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 65 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f55,axiom,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2613) ).
fof(f56,conjecture,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f60,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(flattening,[],[f57]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f64,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f63]) ).
fof(f107,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f108,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f109]) ).
fof(f121,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f122,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f121]) ).
fof(f133,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f108]) ).
fof(f134,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f134]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f110]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f139,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ( sz10 != sK2(X0)
& sK2(X0) != X0
& aNaturalNumber0(sK2(X0))
& doDivides0(sK2(X0),X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f140]) ).
fof(f143,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f192,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f194,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f203,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f211,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f212,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f213,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f215,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f216,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f223,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f228,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f229,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f230,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f241,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f242,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f60]) ).
fof(f249,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f192]) ).
fof(f251,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f194]) ).
fof(f253,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f203]) ).
fof(f275,definition,
( spl4_5
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f279,definition,
( spl4_6
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f281,plain,
( ~ isPrime0(sz00)
| spl4_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
( ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f253,f279,f275]) ).
fof(f284,plain,
spl4_5,
inference(avatar_split_clause,[],[f143,f275]) ).
fof(f301,definition,
( spl4_8
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f302,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_8 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f303,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f316,plain,
~ doDivides0(xp,sdtasdt0(xp,sdtsldt0(xk,xr))),
inference(superposition,[],[f242,f241]) ).
fof(f376,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f249,f147]) ).
fof(f382,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f376,f316]) ).
fof(f444,definition,
( spl4_19
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f446,plain,
( ~ aNaturalNumber0(xk)
| spl4_19 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f463,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_8 ),
inference(resolution,[],[f302,f147]) ).
fof(f464,plain,
( ~ aNaturalNumber0(xm)
| spl4_8 ),
inference(forward_subsumption_resolution,[],[f463,f213]) ).
fof(f465,plain,
( $false
| spl4_8 ),
inference(forward_subsumption_resolution,[],[f464,f212]) ).
fof(f466,plain,
spl4_8,
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f472,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f251,f223]) ).
fof(f473,plain,
( sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f472,f446]) ).
fof(f476,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f473,f215]) ).
fof(f487,definition,
( spl4_24
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl4_24])],[avatar_definition]) ).
fof(f489,plain,
( sz00 = xr
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f491,plain,
( sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f476,f211]) ).
fof(f493,plain,
( sz00 = xp
| ~ spl4_8
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f491,f303]) ).
fof(f496,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(forward_subsumption_resolution,[],[f382,f211]) ).
fof(f528,plain,
( sz00 = xr
| ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f496,f251]) ).
fof(f556,plain,
( isPrime0(sz00)
| ~ spl4_8
| spl4_19 ),
inference(superposition,[],[f216,f493]) ).
fof(f572,plain,
( $false
| spl4_6
| ~ spl4_8
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f556,f281]) ).
fof(f573,plain,
( spl4_6
| ~ spl4_8
| spl4_19 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f576,plain,
( sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f528,f229]) ).
fof(f578,plain,
( sz00 = xr
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f576,f230]) ).
fof(f580,plain,
( ~ spl4_19
| spl4_24 ),
inference(avatar_split_clause,[],[f578,f487,f444]) ).
fof(f612,plain,
( isPrime0(sz00)
| ~ spl4_24 ),
inference(superposition,[],[f228,f489]) ).
fof(f627,plain,
( $false
| spl4_6
| ~ spl4_24 ),
inference(forward_subsumption_resolution,[],[f612,f281]) ).
fof(f628,plain,
( spl4_6
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f627]) ).
cnf(s3,plain,
( ~ spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f282]) ).
cnf(s5,plain,
spl4_5,
inference(sat_conversion,[],[f284]) ).
cnf(s23,plain,
spl4_8,
inference(sat_conversion,[],[f466]) ).
cnf(s38,plain,
( spl4_6
| ~ spl4_8
| spl4_19 ),
inference(sat_conversion,[],[f573]) ).
cnf(s39,plain,
( ~ spl4_19
| spl4_24 ),
inference(sat_conversion,[],[f580]) ).
cnf(s43,plain,
( spl4_6
| ~ spl4_24 ),
inference(sat_conversion,[],[f628]) ).
cnf(s48,plain,
~ spl4_6,
inference(rat,[],[s3,s5]) ).
cnf(s49,plain,
~ spl4_24,
inference(rat,[],[s43,s48]) ).
cnf(s50,plain,
spl4_19,
inference(rat,[],[s38,s23,s48]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s39,s49,s50]) ).
fof(f629,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM514+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:16:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.69/1.30 % (1134385)Detected formulas, will run a generic FOF schedule.
% 2.69/1.30 % (1134390)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=1067311394:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.69/1.30 % (1134393)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2561007971:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.69/1.30 % (1134396)dis-21_1_sil=8000:lcm=predicate:random_seed=3961843344: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)
% 2.69/1.30 % (1134391)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=799827061:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.69/1.30 % (1134394)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3443178398:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.69/1.30 % (1134392)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=2650932370:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.69/1.30 % (1134395)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1630228236:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.69/1.30 % (1134395)First to succeed.
% 2.69/1.30 % (1134395)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1134385"
% 2.69/1.30 % (1134394)Also succeeded, but the first one will report.
% 2.69/1.30 % (1134393)Instruction limit reached!
% 2.69/1.30 % (1134393)------------------------------
% 2.69/1.30 % (1134393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.30 % (1134393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.30 % (1134393)CaDiCaL version: 2.1.3
% 2.69/1.30 % (1134393)Termination reason: Instruction limit
% 2.69/1.30 % (1134393)Termination phase: Saturation
% 2.69/1.30 % (1134393)Time elapsed: 0.064 s
% 2.69/1.30 % (1134393)Peak memory usage: 89 MB
% 2.69/1.30 % (1134393)Instructions burned: 111 (million)
% 2.69/1.30 % (1134396)Instruction limit reached!
% 2.69/1.30 % (1134396)------------------------------
% 2.69/1.30 % (1134396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.30 % (1134396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.30 % (1134396)CaDiCaL version: 2.1.3
% 2.69/1.30 % (1134396)Termination reason: Instruction limit
% 2.69/1.30 % (1134396)Termination phase: Saturation
% 2.69/1.30 % (1134396)Time elapsed: 0.079 s
% 2.69/1.30 % (1134396)Peak memory usage: 90 MB
% 2.69/1.30 % (1134396)Instructions burned: 130 (million)
% 2.69/1.30 % (1134404)lrs+10_1_sil=8000:sp=occurrence:random_seed=4182149369:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.69/1.30 % (1134405)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3419349231:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.69/1.30 % (1134395)Refutation found. Thanks to Tanya!
% 2.69/1.30 % SZS status Theorem for theBenchmark
% 2.69/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.39 % (1134395)------------------------------
% 3.57/1.39 % (1134395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.39 % (1134395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.39 % (1134395)CaDiCaL version: 2.1.3
% 3.57/1.39 % (1134395)Termination reason: Refutation
% 3.57/1.39 % (1134395)Time elapsed: 0.013 s
% 3.57/1.39 % (1134395)Peak memory usage: 90 MB
% 3.57/1.39 % (1134395)Instructions burned: 15 (million)
% 3.57/1.39 % (1134395)------------------------------
% 3.57/1.39 % (1134395)------------------------------
% 3.57/1.39 % (1134385)Success in time 0.443 s
% 3.57/1.39 % Vampire exiting
%------------------------------------------------------------------------------