%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG056+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:35:19 PM UTC 2026
% Result : Theorem 5.87s 1.44s
% Output : Refutation 6.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 119 ( 45 unt; 7 def)
% Number of atoms : 249 ( 86 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 241 ( 111 ~; 102 |; 22 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f44,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f49,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f58,conjecture,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f59,negated_conjecture,
xN != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f65,plain,
xN != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(flattening,[],[f59]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f78]) ).
fof(f134,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f136,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f146,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f192,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f194,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f196,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f198,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f201,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f202,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f203,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f204,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f205,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f206,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f207,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f208,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f211,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f212,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f213,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f217,plain,
xN != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f65]) ).
fof(f221,definition,
sF2 = sdtasdt0(xH,xH),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f222,plain,
sdtasdt0(xH,xH) = sF2,
inference(reorient_equations,[],[f221]) ).
fof(f223,definition,
sF3 = sdtasdt0(xC,xD),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f224,plain,
sdtasdt0(xC,xD) = sF3,
inference(reorient_equations,[],[f223]) ).
fof(f225,definition,
sF4 = sdtasdt0(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f226,plain,
sdtasdt0(sF2,sF3) = sF4,
inference(reorient_equations,[],[f225]) ).
fof(f227,plain,
xN != sF4,
inference(definition_folding,[],[f217,f226,f224,f222]) ).
fof(f229,definition,
( spl5_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f230,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,definition,
( spl5_2
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f233,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f146,f232,f229]) ).
fof(f244,plain,
( aScalar0(sF3)
| ~ aScalar0(xC)
| ~ aScalar0(xD) ),
inference(superposition,[],[f136,f224]) ).
fof(f245,plain,
( aScalar0(sF2)
| ~ aScalar0(xH)
| ~ aScalar0(xH) ),
inference(superposition,[],[f136,f222]) ).
fof(f248,plain,
( aScalar0(sF2)
| ~ aScalar0(xH) ),
inference(duplicate_literal_removal,[],[f245]) ).
fof(f250,definition,
( spl5_5
<=> aScalar0(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f251,plain,
( aScalar0(sF3)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl5_6
<=> aScalar0(sF2) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f255,plain,
( aScalar0(sF2)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f262,plain,
aScalar0(sF2),
inference(forward_subsumption_resolution,[],[f248,f206]) ).
fof(f263,plain,
( aScalar0(sF3)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f244,f196]) ).
fof(f264,plain,
spl5_6,
inference(avatar_split_clause,[],[f262,f254]) ).
fof(f265,plain,
aScalar0(sF3),
inference(forward_subsumption_resolution,[],[f263,f198]) ).
fof(f266,plain,
spl5_5,
inference(avatar_split_clause,[],[f265,f250]) ).
fof(f268,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f233,f206]) ).
fof(f270,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sF2,X0) )
| ~ spl5_2
| ~ spl5_6 ),
inference(resolution,[],[f233,f255]) ).
fof(f271,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sF3,X0) )
| ~ spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f233,f251]) ).
fof(f273,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f198,f233]) ).
fof(f325,plain,
( sdtasdt0(xA,xH) = sdtasdt0(xH,xA)
| ~ spl5_2 ),
inference(resolution,[],[f192,f268]) ).
fof(f356,plain,
( sdtasdt0(sF2,sF3) = sdtasdt0(sF3,sF2)
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(resolution,[],[f270,f251]) ).
fof(f358,plain,
( sF4 = sdtasdt0(sF3,sF2)
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f356,f226]) ).
fof(f365,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f212,f233]) ).
fof(f375,plain,
( sdtasdt0(xF,sF3) = sdtasdt0(sF3,xF)
| ~ spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f271,f202]) ).
fof(f422,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB)) ),
inference(resolution,[],[f147,f194]) ).
fof(f423,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC)) ),
inference(resolution,[],[f147,f196]) ).
fof(f427,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG)) ),
inference(resolution,[],[f147,f204]) ).
fof(f612,plain,
( sdtasdt0(xC,xD) = sdtasdt0(xD,xC)
| ~ spl5_2 ),
inference(resolution,[],[f273,f196]) ).
fof(f626,plain,
( sF3 = sdtasdt0(xD,xC)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f612,f224]) ).
fof(f1032,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xD),xC) = sdtasdt0(X0,sdtasdt0(xD,xC)) ),
inference(resolution,[],[f423,f198]) ).
fof(f1047,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sdtasdt0(X0,xD),xC) )
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1032,f626]) ).
fof(f1062,plain,
( sdtasdt0(xF,sF3) = sdtasdt0(sdtasdt0(xF,xD),xC)
| ~ spl5_2 ),
inference(resolution,[],[f1047,f202]) ).
fof(f1076,plain,
( sdtasdt0(xF,sF3) = sdtasdt0(xS,xC)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1062,f211]) ).
fof(f1246,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xA),xB) = sdtasdt0(X0,sdtasdt0(xA,xB)) ),
inference(resolution,[],[f422,f192]) ).
fof(f1247,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xB),xB) = sdtasdt0(X0,sdtasdt0(xB,xB)) ),
inference(resolution,[],[f422,f194]) ).
fof(f1268,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(sdtasdt0(X0,xB),xB) ),
inference(forward_demodulation,[],[f1247,f203]) ).
fof(f1269,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(sdtasdt0(X0,xA),xB) ),
inference(forward_demodulation,[],[f1246,f205]) ).
fof(f1276,plain,
sdtasdt0(xA,xH) = sdtasdt0(sdtasdt0(xA,xA),xB),
inference(resolution,[],[f1269,f192]) ).
fof(f1283,plain,
sdtasdt0(xH,xH) = sdtasdt0(sdtasdt0(xH,xA),xB),
inference(resolution,[],[f1269,f206]) ).
fof(f1296,plain,
( sdtasdt0(xH,xH) = sdtasdt0(sdtasdt0(xA,xH),xB)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1283,f325]) ).
fof(f1301,plain,
sdtasdt0(xA,xH) = sdtasdt0(xF,xB),
inference(forward_demodulation,[],[f1276,f201]) ).
fof(f1307,plain,
( sF2 = sdtasdt0(sdtasdt0(xA,xH),xB)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1296,f222]) ).
fof(f1325,plain,
sdtasdt0(xF,xG) = sdtasdt0(sdtasdt0(xF,xB),xB),
inference(resolution,[],[f1268,f202]) ).
fof(f1340,plain,
sdtasdt0(sdtasdt0(xA,xH),xB) = sdtasdt0(xF,xG),
inference(forward_demodulation,[],[f1325,f1301]) ).
fof(f1350,plain,
( sF2 = sdtasdt0(xF,xG)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1340,f1307]) ).
fof(f1998,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xC),xG) = sdtasdt0(X0,sdtasdt0(xC,xG)) ),
inference(resolution,[],[f427,f196]) ).
fof(f2001,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xF),xG) = sdtasdt0(X0,sdtasdt0(xF,xG)) ),
inference(resolution,[],[f427,f202]) ).
fof(f2016,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sdtasdt0(X0,xF),xG) )
| ~ spl5_2 ),
inference(forward_demodulation,[],[f2001,f1350]) ).
fof(f2018,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(sdtasdt0(X0,xC),xG) ),
inference(forward_demodulation,[],[f1998,f207]) ).
fof(f2039,plain,
sdtasdt0(xS,xR) = sdtasdt0(sdtasdt0(xS,xC),xG),
inference(resolution,[],[f2018,f212]) ).
fof(f2048,plain,
( sdtasdt0(xS,xR) = sdtasdt0(sdtasdt0(xF,sF3),xG)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f2039,f1076]) ).
fof(f3037,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl5_2 ),
inference(resolution,[],[f365,f208]) ).
fof(f3044,plain,
( xN = sdtasdt0(xS,xR)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f3037,f213]) ).
fof(f3260,plain,
( sdtasdt0(sF3,sF2) = sdtasdt0(sdtasdt0(sF3,xF),xG)
| ~ spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f2016,f251]) ).
fof(f3263,plain,
( sdtasdt0(sF3,sF2) = sdtasdt0(sdtasdt0(xF,sF3),xG)
| ~ spl5_2
| ~ spl5_5 ),
inference(forward_demodulation,[],[f3260,f375]) ).
fof(f3279,plain,
( sdtasdt0(sF3,sF2) = sdtasdt0(xS,xR)
| ~ spl5_2
| ~ spl5_5 ),
inference(forward_demodulation,[],[f3263,f2048]) ).
fof(f3287,plain,
( xN = sdtasdt0(sF3,sF2)
| ~ spl5_2
| ~ spl5_5 ),
inference(forward_demodulation,[],[f3279,f3044]) ).
fof(f3291,plain,
( xN = sF4
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f3287,f358]) ).
fof(f3292,plain,
( $false
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f3291,f227]) ).
fof(f3293,plain,
( ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f3292]) ).
fof(f3360,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f230,f134]) ).
fof(f3404,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f3360]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s5,plain,
spl5_6,
inference(sat_conversion,[],[f264]) ).
cnf(s6,plain,
spl5_5,
inference(sat_conversion,[],[f266]) ).
cnf(s34,plain,
( ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f3293]) ).
cnf(s55,plain,
~ spl5_1,
inference(sat_conversion,[],[f3404]) ).
cnf(s67,plain,
~ spl5_2,
inference(rat,[],[s34,s6,s5]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s1,s67,s55]) ).
fof(f3405,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG056+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Sun Sep 27 23:03:04 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 5.87/1.44 % (2863231)Detected formulas, will run a generic FOF schedule.
% 5.87/1.44 % (2863239)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3061265052:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.87/1.44 % (2863236)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=48297165:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.87/1.44 % (2863242)dis-21_1_sil=8000:lcm=predicate:random_seed=1475505574: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)
% 5.87/1.44 % (2863240)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3284750877:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.87/1.44 % (2863237)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=2154587735:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.87/1.44 % (2863238)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=3932153537:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.87/1.44 % (2863241)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=965587226:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.87/1.44 % (2863239)Instruction limit reached!
% 5.87/1.44 % (2863239)------------------------------
% 5.87/1.44 % (2863239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863239)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863239)Termination reason: Instruction limit
% 5.87/1.44 % (2863239)Termination phase: Saturation
% 5.87/1.44 % (2863239)Time elapsed: 0.036 s
% 5.87/1.44 % (2863239)Peak memory usage: 89 MB
% 5.87/1.44 % (2863239)Instructions burned: 113 (million)
% 5.87/1.44 % (2863240)Instruction limit reached!
% 5.87/1.44 % (2863240)------------------------------
% 5.87/1.44 % (2863240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863240)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863240)Termination reason: Instruction limit
% 5.87/1.44 % (2863240)Termination phase: Saturation
% 5.87/1.44 % (2863240)Time elapsed: 0.037 s
% 5.87/1.44 % (2863240)Peak memory usage: 88 MB
% 5.87/1.44 % (2863240)Instructions burned: 121 (million)
% 5.87/1.44 % (2863242)Instruction limit reached!
% 5.87/1.44 % (2863242)------------------------------
% 5.87/1.44 % (2863242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863242)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863242)Termination reason: Instruction limit
% 5.87/1.44 % (2863242)Termination phase: Saturation
% 5.87/1.44 % (2863242)Time elapsed: 0.040 s
% 5.87/1.44 % (2863242)Peak memory usage: 89 MB
% 5.87/1.44 % (2863242)Instructions burned: 129 (million)
% 5.87/1.44 % (2863241)Instruction limit reached!
% 5.87/1.44 % (2863241)------------------------------
% 5.87/1.44 % (2863241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863241)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863241)Termination reason: Instruction limit
% 5.87/1.44 % (2863241)Termination phase: Saturation
% 5.87/1.44 % (2863241)Time elapsed: 0.059 s
% 5.87/1.44 % (2863241)Peak memory usage: 90 MB
% 5.87/1.44 % (2863241)Instructions burned: 140 (million)
% 5.87/1.44 % (2863250)lrs+10_1_sil=8000:sp=occurrence:random_seed=2252118275:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.87/1.44 % (2863252)lrs+1011_1_sil=32000:sp=occurrence:random_seed=251403095:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 5.87/1.44 % (2863251)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3096727515:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.87/1.44 % (2863253)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=2799949058:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 5.87/1.44 % (2863251)Instruction limit reached!
% 5.87/1.44 % (2863251)------------------------------
% 5.87/1.44 % (2863251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863251)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863251)Termination reason: Instruction limit
% 5.87/1.44 % (2863251)Termination phase: Saturation
% 5.87/1.44 % (2863251)Time elapsed: 0.040 s
% 5.87/1.44 % (2863251)Peak memory usage: 91 MB
% 5.87/1.44 % (2863251)Instructions burned: 161 (million)
% 5.87/1.44 % (2863250)Instruction limit reached!
% 5.87/1.44 % (2863250)------------------------------
% 5.87/1.44 % (2863250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863250)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863250)Termination reason: Instruction limit
% 5.87/1.44 % (2863250)Termination phase: Saturation
% 5.87/1.44 % (2863250)Time elapsed: 0.092 s
% 5.87/1.44 % (2863250)Peak memory usage: 93 MB
% 5.87/1.44 % (2863250)Instructions burned: 287 (million)
% 5.87/1.44 % (2863253)Instruction limit reached!
% 5.87/1.44 % (2863253)------------------------------
% 5.87/1.44 % (2863253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863253)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863253)Termination reason: Instruction limit
% 5.87/1.44 % (2863253)Termination phase: Saturation
% 5.87/1.44 % (2863253)Time elapsed: 0.067 s
% 5.87/1.44 % (2863253)Peak memory usage: 96 MB
% 5.87/1.44 % (2863253)Instructions burned: 249 (million)
% 5.87/1.44 % (2863252)Instruction limit reached!
% 5.87/1.44 % (2863252)------------------------------
% 5.87/1.44 % (2863252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863252)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863252)Termination reason: Instruction limit
% 5.87/1.44 % (2863252)Termination phase: Saturation
% 5.87/1.44 % (2863252)Time elapsed: 0.105 s
% 5.87/1.44 % (2863252)Peak memory usage: 93 MB
% 5.87/1.44 % (2863252)Instructions burned: 325 (million)
% 5.87/1.44 % (2863258)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=111885589:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 5.87/1.44 % (2863259)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1140213011:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 5.87/1.44 % (2863260)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=377141462:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 5.87/1.44 % (2863261)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3059554930:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 5.87/1.44 % (2863258)Instruction limit reached!
% 5.87/1.44 % (2863258)------------------------------
% 5.87/1.44 % (2863258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863258)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863258)Termination reason: Instruction limit
% 5.87/1.44 % (2863258)Termination phase: Saturation
% 5.87/1.44 % (2863258)Time elapsed: 0.091 s
% 5.87/1.44 % (2863258)Peak memory usage: 90 MB
% 5.87/1.44 % (2863258)Instructions burned: 297 (million)
% 5.87/1.44 % (2863260)Instruction limit reached!
% 5.87/1.44 % (2863260)------------------------------
% 5.87/1.44 % (2863260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863260)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863260)Termination reason: Instruction limit
% 5.87/1.44 % (2863260)Termination phase: Saturation
% 5.87/1.44 % (2863260)Time elapsed: 0.040 s
% 5.87/1.44 % (2863260)Peak memory usage: 91 MB
% 5.87/1.44 % (2863260)Instructions burned: 113 (million)
% 5.87/1.44 % (2863261)Instruction limit reached!
% 5.87/1.44 % (2863261)------------------------------
% 5.87/1.44 % (2863261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863261)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863261)Termination reason: Instruction limit
% 5.87/1.44 % (2863261)Termination phase: Saturation
% 5.87/1.44 % (2863261)Time elapsed: 0.038 s
% 5.87/1.44 % (2863261)Peak memory usage: 89 MB
% 5.87/1.44 % (2863261)Instructions burned: 138 (million)
% 5.87/1.44 % (2863266)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1727374036:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 5.87/1.44 % (2863267)lrs+10_1_sil=8000:sp=occurrence:random_seed=2193849383:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 5.87/1.44 % (2863268)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2696791833:i=437:sd=1:aac=none:ss=included_2995 on theBenchmark for (2995ds/437Mi)
% 5.87/1.44 % (2863266)Instruction limit reached!
% 5.87/1.44 % (2863266)------------------------------
% 5.87/1.44 % (2863266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863266)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863266)Termination reason: Instruction limit
% 5.87/1.44 % (2863266)Termination phase: Saturation
% 5.87/1.44 % (2863266)Time elapsed: 0.033 s
% 5.87/1.44 % (2863266)Peak memory usage: 89 MB
% 5.87/1.44 % (2863266)Instructions burned: 117 (million)
% 5.87/1.44 % (2863272)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3033882728:i=5202:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/5202Mi)
% 5.87/1.44 % (2863268)Instruction limit reached!
% 5.87/1.44 % (2863268)------------------------------
% 5.87/1.44 % (2863268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863268)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863268)Termination reason: Instruction limit
% 5.87/1.44 % (2863268)Termination phase: Saturation
% 5.87/1.44 % (2863268)Time elapsed: 0.134 s
% 5.87/1.44 % (2863268)Peak memory usage: 95 MB
% 5.87/1.44 % (2863268)Instructions burned: 440 (million)
% 5.87/1.44 % (2863236)First to succeed.
% 5.87/1.44 % (2863236)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2863231"
% 5.87/1.44 % (2863274)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2352881699:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2993 on theBenchmark for (2993ds/134Mi)
% 5.87/1.44 % (2863274)Instruction limit reached!
% 5.87/1.44 % (2863274)------------------------------
% 5.87/1.44 % (2863274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863274)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863274)Termination reason: Instruction limit
% 5.87/1.44 % (2863274)Termination phase: Saturation
% 5.87/1.44 % (2863274)Time elapsed: 0.032 s
% 5.87/1.44 % (2863274)Peak memory usage: 91 MB
% 5.87/1.44 % (2863274)Instructions burned: 136 (million)
% 5.87/1.44 % (2863267)Instruction limit reached!
% 5.87/1.44 % (2863267)------------------------------
% 5.87/1.44 % (2863267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.44 % (2863267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.44 % (2863267)CaDiCaL version: 2.1.3
% 5.87/1.44 % (2863267)Termination reason: Instruction limit
% 5.87/1.44 % (2863267)Termination phase: Saturation
% 5.87/1.44 % (2863267)Time elapsed: 0.273 s
% 5.87/1.44 % (2863267)Peak memory usage: 101 MB
% 5.87/1.44 % (2863267)Instructions burned: 908 (million)
% 5.87/1.44 % (2863236)Refutation found. Thanks to Tanya!
% 5.87/1.44 % SZS status Theorem for theBenchmark
% 5.87/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 6.63/1.54 % (2863236)------------------------------
% 6.63/1.54 % (2863236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.54 % (2863236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.54 % (2863236)CaDiCaL version: 2.1.3
% 6.63/1.54 % (2863236)Termination reason: Refutation
% 6.63/1.54 % (2863236)Time elapsed: 0.641 s
% 6.63/1.54 % (2863236)Peak memory usage: 137 MB
% 6.63/1.54 % (2863236)Instructions burned: 1845 (million)
% 6.63/1.54 % (2863236)------------------------------
% 6.63/1.54 % (2863236)------------------------------
% 6.63/1.54 % (2863231)Success in time 0.914 s
% 6.63/1.54 % Vampire exiting
%------------------------------------------------------------------------------