%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG056+1 : 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 : n015.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 12:35:18 PM UTC 2026
% Result : Theorem 10.93s 2.45s
% Output : Refutation 11.87s
% 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(f132,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f134,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f144,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f145,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(f186,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f188,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f190,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f192,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f195,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f196,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f197,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f198,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f199,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f200,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f201,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f202,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f205,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f206,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f207,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f211,plain,
xN != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f65]) ).
fof(f215,definition,
sF2 = sdtasdt0(xH,xH),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f216,plain,
sdtasdt0(xH,xH) = sF2,
inference(reorient_equations,[],[f215]) ).
fof(f217,definition,
sF3 = sdtasdt0(xC,xD),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f218,plain,
sdtasdt0(xC,xD) = sF3,
inference(reorient_equations,[],[f217]) ).
fof(f219,definition,
sF4 = sdtasdt0(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f220,plain,
sdtasdt0(sF2,sF3) = sF4,
inference(reorient_equations,[],[f219]) ).
fof(f221,plain,
xN != sF4,
inference(definition_folding,[],[f211,f220,f218,f216]) ).
fof(f223,definition,
( spl5_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f224,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f226,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(f227,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f144,f226,f223]) ).
fof(f238,plain,
( aScalar0(sF3)
| ~ aScalar0(xC)
| ~ aScalar0(xD) ),
inference(superposition,[],[f134,f218]) ).
fof(f239,plain,
( aScalar0(sF2)
| ~ aScalar0(xH)
| ~ aScalar0(xH) ),
inference(superposition,[],[f134,f216]) ).
fof(f242,plain,
( aScalar0(sF2)
| ~ aScalar0(xH) ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f244,definition,
( spl5_5
<=> aScalar0(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f245,plain,
( aScalar0(sF3)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl5_6
<=> aScalar0(sF2) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f249,plain,
( aScalar0(sF2)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f256,plain,
aScalar0(sF2),
inference(forward_subsumption_resolution,[],[f242,f200]) ).
fof(f257,plain,
( aScalar0(sF3)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f238,f190]) ).
fof(f258,plain,
spl5_6,
inference(avatar_split_clause,[],[f256,f248]) ).
fof(f259,plain,
aScalar0(sF3),
inference(forward_subsumption_resolution,[],[f257,f192]) ).
fof(f260,plain,
spl5_5,
inference(avatar_split_clause,[],[f259,f244]) ).
fof(f262,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f227,f200]) ).
fof(f264,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sF2,X0) )
| ~ spl5_2
| ~ spl5_6 ),
inference(resolution,[],[f227,f249]) ).
fof(f265,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sF3,X0) )
| ~ spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f227,f245]) ).
fof(f283,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f192,f227]) ).
fof(f314,plain,
( sdtasdt0(xA,xH) = sdtasdt0(xH,xA)
| ~ spl5_2 ),
inference(resolution,[],[f186,f262]) ).
fof(f352,plain,
( sdtasdt0(sF2,sF3) = sdtasdt0(sF3,sF2)
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(resolution,[],[f264,f245]) ).
fof(f354,plain,
( sF4 = sdtasdt0(sF3,sF2)
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f352,f220]) ).
fof(f366,plain,
( sdtasdt0(xF,sF3) = sdtasdt0(sF3,xF)
| ~ spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f265,f196]) ).
fof(f380,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f206,f227]) ).
fof(f393,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB)) ),
inference(resolution,[],[f145,f188]) ).
fof(f394,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC)) ),
inference(resolution,[],[f145,f190]) ).
fof(f398,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG)) ),
inference(resolution,[],[f145,f198]) ).
fof(f569,plain,
( sdtasdt0(xC,xD) = sdtasdt0(xD,xC)
| ~ spl5_2 ),
inference(resolution,[],[f283,f190]) ).
fof(f583,plain,
( sF3 = sdtasdt0(xD,xC)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f569,f218]) ).
fof(f1144,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xD),xC) = sdtasdt0(X0,sdtasdt0(xD,xC)) ),
inference(resolution,[],[f394,f192]) ).
fof(f1159,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sdtasdt0(X0,xD),xC) )
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1144,f583]) ).
fof(f1174,plain,
( sdtasdt0(xF,sF3) = sdtasdt0(sdtasdt0(xF,xD),xC)
| ~ spl5_2 ),
inference(resolution,[],[f1159,f196]) ).
fof(f1188,plain,
( sdtasdt0(xF,sF3) = sdtasdt0(xS,xC)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1174,f205]) ).
fof(f1293,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xA),xB) = sdtasdt0(X0,sdtasdt0(xA,xB)) ),
inference(resolution,[],[f393,f186]) ).
fof(f1294,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xB),xB) = sdtasdt0(X0,sdtasdt0(xB,xB)) ),
inference(resolution,[],[f393,f188]) ).
fof(f1315,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(sdtasdt0(X0,xB),xB) ),
inference(forward_demodulation,[],[f1294,f197]) ).
fof(f1316,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(sdtasdt0(X0,xA),xB) ),
inference(forward_demodulation,[],[f1293,f199]) ).
fof(f1323,plain,
sdtasdt0(xA,xH) = sdtasdt0(sdtasdt0(xA,xA),xB),
inference(resolution,[],[f1316,f186]) ).
fof(f1330,plain,
sdtasdt0(xH,xH) = sdtasdt0(sdtasdt0(xH,xA),xB),
inference(resolution,[],[f1316,f200]) ).
fof(f1343,plain,
( sdtasdt0(xH,xH) = sdtasdt0(sdtasdt0(xA,xH),xB)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1330,f314]) ).
fof(f1348,plain,
sdtasdt0(xA,xH) = sdtasdt0(xF,xB),
inference(forward_demodulation,[],[f1323,f195]) ).
fof(f1354,plain,
( sF2 = sdtasdt0(sdtasdt0(xA,xH),xB)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1343,f216]) ).
fof(f1372,plain,
sdtasdt0(xF,xG) = sdtasdt0(sdtasdt0(xF,xB),xB),
inference(resolution,[],[f1315,f196]) ).
fof(f1387,plain,
sdtasdt0(sdtasdt0(xA,xH),xB) = sdtasdt0(xF,xG),
inference(forward_demodulation,[],[f1372,f1348]) ).
fof(f1397,plain,
( sF2 = sdtasdt0(xF,xG)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1387,f1354]) ).
fof(f1812,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xC),xG) = sdtasdt0(X0,sdtasdt0(xC,xG)) ),
inference(resolution,[],[f398,f190]) ).
fof(f1815,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xF),xG) = sdtasdt0(X0,sdtasdt0(xF,xG)) ),
inference(resolution,[],[f398,f196]) ).
fof(f1830,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sdtasdt0(X0,xF),xG) )
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1815,f1397]) ).
fof(f1832,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(sdtasdt0(X0,xC),xG) ),
inference(forward_demodulation,[],[f1812,f201]) ).
fof(f1850,plain,
sdtasdt0(xS,xR) = sdtasdt0(sdtasdt0(xS,xC),xG),
inference(resolution,[],[f1832,f206]) ).
fof(f1859,plain,
( sdtasdt0(xS,xR) = sdtasdt0(sdtasdt0(xF,sF3),xG)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1850,f1188]) ).
fof(f3203,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f224,f132]) ).
fof(f3248,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f3203]) ).
fof(f4395,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl5_2 ),
inference(resolution,[],[f380,f202]) ).
fof(f4402,plain,
( xN = sdtasdt0(xS,xR)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f4395,f207]) ).
fof(f4457,plain,
( sdtasdt0(sF3,sF2) = sdtasdt0(sdtasdt0(sF3,xF),xG)
| ~ spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f1830,f245]) ).
fof(f4460,plain,
( sdtasdt0(sF3,sF2) = sdtasdt0(sdtasdt0(xF,sF3),xG)
| ~ spl5_2
| ~ spl5_5 ),
inference(forward_demodulation,[],[f4457,f366]) ).
fof(f4476,plain,
( sdtasdt0(sF3,sF2) = sdtasdt0(xS,xR)
| ~ spl5_2
| ~ spl5_5 ),
inference(forward_demodulation,[],[f4460,f1859]) ).
fof(f4486,plain,
( xN = sdtasdt0(sF3,sF2)
| ~ spl5_2
| ~ spl5_5 ),
inference(forward_demodulation,[],[f4476,f4402]) ).
fof(f4489,plain,
( xN = sF4
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f4486,f354]) ).
fof(f4490,plain,
( $false
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f4489,f221]) ).
fof(f4491,plain,
( ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f4490]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f228]) ).
cnf(s5,plain,
spl5_6,
inference(sat_conversion,[],[f258]) ).
cnf(s6,plain,
spl5_5,
inference(sat_conversion,[],[f260]) ).
cnf(s47,plain,
~ spl5_1,
inference(sat_conversion,[],[f3248]) ).
cnf(s53,plain,
( ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f4491]) ).
cnf(s60,plain,
~ spl5_2,
inference(rat,[],[s53,s6,s5]) ).
cnf(s64,plain,
$false,
inference(rat,[],[s1,s60,s47]) ).
fof(f4492,plain,
$false,
inference(avatar_sat_refutation,[],[s64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG056+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:06:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 10.93/2.44 % (2117417)Detected formulas, will run a generic FOF schedule.
% 10.93/2.44 % (2117426)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1695965346:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.93/2.44 % (2117424)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=2801788035:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.93/2.44 % (2117423)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=1993023432:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.93/2.44 % (2117422)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=69046287:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.93/2.44 % (2117425)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2006719954:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.93/2.44 % (2117427)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3556163781:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.93/2.44 % (2117426)Instruction limit reached!
% 10.93/2.44 % (2117426)------------------------------
% 10.93/2.44 % (2117426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.44 % (2117426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.44 % (2117426)CaDiCaL version: 2.1.3
% 10.93/2.44 % (2117426)Termination reason: Instruction limit
% 10.93/2.44 % (2117426)Termination phase: Saturation
% 10.93/2.44 % (2117426)Time elapsed: 0.038 s
% 10.93/2.44 % (2117426)Peak memory usage: 89 MB
% 10.93/2.44 % (2117426)Instructions burned: 121 (million)
% 10.93/2.44 % (2117428)dis-21_1_sil=8000:lcm=predicate:random_seed=1466299791: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)
% 10.93/2.44 % (2117425)Instruction limit reached!
% 10.93/2.44 % (2117425)------------------------------
% 10.93/2.44 % (2117425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.44 % (2117425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.44 % (2117425)CaDiCaL version: 2.1.3
% 10.93/2.44 % (2117425)Termination reason: Instruction limit
% 10.93/2.44 % (2117425)Termination phase: Saturation
% 10.93/2.44 % (2117425)Time elapsed: 0.071 s
% 10.93/2.44 % (2117425)Peak memory usage: 89 MB
% 10.93/2.44 % (2117425)Instructions burned: 110 (million)
% 10.93/2.44 % (2117428)Instruction limit reached!
% 10.93/2.44 % (2117428)------------------------------
% 10.93/2.44 % (2117428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.44 % (2117428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.44 % (2117428)CaDiCaL version: 2.1.3
% 10.93/2.44 % (2117428)Termination reason: Instruction limit
% 10.93/2.44 % (2117428)Termination phase: Saturation
% 10.93/2.44 % (2117428)Time elapsed: 0.081 s
% 10.93/2.44 % (2117428)Peak memory usage: 89 MB
% 10.93/2.44 % (2117428)Instructions burned: 130 (million)
% 10.93/2.44 % (2117427)Instruction limit reached!
% 10.93/2.44 % (2117427)------------------------------
% 10.93/2.44 % (2117427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.44 % (2117427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.44 % (2117427)CaDiCaL version: 2.1.3
% 10.93/2.44 % (2117427)Termination reason: Instruction limit
% 10.93/2.44 % (2117427)Termination phase: Saturation
% 10.93/2.44 % (2117427)Time elapsed: 0.087 s
% 10.93/2.44 % (2117427)Peak memory usage: 90 MB
% 10.93/2.44 % (2117427)Instructions burned: 140 (million)
% 10.93/2.44 % (2117436)lrs+10_1_sil=8000:sp=occurrence:random_seed=3951536422:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.93/2.44 % (2117437)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3944094050:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.93/2.44 % (2117436)Instruction limit reached!
% 10.93/2.44 % (2117436)------------------------------
% 10.93/2.44 % (2117436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.44 % (2117436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.44 % (2117436)CaDiCaL version: 2.1.3
% 10.93/2.44 % (2117436)Termination reason: Instruction limit
% 10.93/2.44 % (2117436)Termination phase: Saturation
% 10.93/2.45 % (2117436)Time elapsed: 0.092 s
% 10.93/2.45 % (2117436)Peak memory usage: 93 MB
% 10.93/2.45 % (2117436)Instructions burned: 286 (million)
% 10.93/2.45 % (2117438)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3134757785:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.93/2.45 % (2117439)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=1971728243:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.93/2.45 % (2117437)Instruction limit reached!
% 10.93/2.45 % (2117437)------------------------------
% 10.93/2.45 % (2117437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117437)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117437)Termination reason: Instruction limit
% 10.93/2.45 % (2117437)Termination phase: Saturation
% 10.93/2.45 % (2117437)Time elapsed: 0.072 s
% 10.93/2.45 % (2117437)Peak memory usage: 91 MB
% 10.93/2.45 % (2117437)Instructions burned: 158 (million)
% 10.93/2.45 % (2117442)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1616814141:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.93/2.45 % (2117439)Instruction limit reached!
% 10.93/2.45 % (2117439)------------------------------
% 10.93/2.45 % (2117439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117439)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117439)Termination reason: Instruction limit
% 10.93/2.45 % (2117439)Termination phase: Saturation
% 10.93/2.45 % (2117439)Time elapsed: 0.123 s
% 10.93/2.45 % (2117439)Peak memory usage: 96 MB
% 10.93/2.45 % (2117439)Instructions burned: 248 (million)
% 10.93/2.45 % (2117442)Instruction limit reached!
% 10.93/2.45 % (2117442)------------------------------
% 10.93/2.45 % (2117442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117442)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117442)Termination reason: Instruction limit
% 10.93/2.45 % (2117442)Termination phase: Saturation
% 10.93/2.45 % (2117442)Time elapsed: 0.089 s
% 10.93/2.45 % (2117442)Peak memory usage: 90 MB
% 10.93/2.45 % (2117442)Instructions burned: 295 (million)
% 10.93/2.45 % (2117445)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3816223295:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.93/2.45 % (2117438)Instruction limit reached!
% 10.93/2.45 % (2117438)------------------------------
% 10.93/2.45 % (2117438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117438)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117438)Termination reason: Instruction limit
% 10.93/2.45 % (2117438)Termination phase: Saturation
% 10.93/2.45 % (2117438)Time elapsed: 0.192 s
% 10.93/2.45 % (2117438)Peak memory usage: 93 MB
% 10.93/2.45 % (2117438)Instructions burned: 326 (million)
% 10.93/2.45 % (2117448)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2290073616:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.93/2.45 % (2117447)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3654695977:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.93/2.45 % (2117448)Instruction limit reached!
% 10.93/2.45 % (2117448)------------------------------
% 10.93/2.45 % (2117448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117448)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117448)Termination reason: Instruction limit
% 10.93/2.45 % (2117448)Termination phase: Saturation
% 10.93/2.45 % (2117448)Time elapsed: 0.036 s
% 10.93/2.45 % (2117448)Peak memory usage: 89 MB
% 10.93/2.45 % (2117448)Instructions burned: 128 (million)
% 10.93/2.45 % (2117447)Instruction limit reached!
% 10.93/2.45 % (2117447)------------------------------
% 10.93/2.45 % (2117447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117447)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117447)Termination reason: Instruction limit
% 10.93/2.45 % (2117447)Termination phase: Saturation
% 10.93/2.45 % (2117447)Time elapsed: 0.074 s
% 10.93/2.45 % (2117447)Peak memory usage: 91 MB
% 10.93/2.45 % (2117447)Instructions burned: 114 (million)
% 10.93/2.45 % (2117450)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3418900945:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 10.93/2.45 % (2117453)lrs+10_1_sil=8000:sp=occurrence:random_seed=420150630:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 10.93/2.45 % (2117450)Instruction limit reached!
% 10.93/2.45 % (2117450)------------------------------
% 10.93/2.45 % (2117450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117450)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117450)Termination reason: Instruction limit
% 10.93/2.45 % (2117450)Termination phase: Saturation
% 10.93/2.45 % (2117450)Time elapsed: 0.063 s
% 10.93/2.45 % (2117450)Peak memory usage: 89 MB
% 10.93/2.45 % (2117450)Instructions burned: 116 (million)
% 10.93/2.45 % (2117454)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=74542607:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 10.93/2.45 % (2117457)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2952709392:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.93/2.45 % (2117453)Instruction limit reached!
% 10.93/2.45 % (2117453)------------------------------
% 10.93/2.45 % (2117453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117453)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117453)Termination reason: Instruction limit
% 10.93/2.45 % (2117453)Termination phase: Saturation
% 10.93/2.45 % (2117453)Time elapsed: 0.273 s
% 10.93/2.45 % (2117453)Peak memory usage: 102 MB
% 10.93/2.45 % (2117453)Instructions burned: 911 (million)
% 10.93/2.45 % (2117454)Instruction limit reached!
% 10.93/2.45 % (2117454)------------------------------
% 10.93/2.45 % (2117454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117454)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117454)Termination reason: Instruction limit
% 10.93/2.45 % (2117454)Termination phase: Saturation
% 10.93/2.45 % (2117454)Time elapsed: 0.244 s
% 10.93/2.45 % (2117454)Peak memory usage: 95 MB
% 10.93/2.45 % (2117454)Instructions burned: 437 (million)
% 10.93/2.45 % (2117460)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2713251583:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 10.93/2.45 % (2117460)Instruction limit reached!
% 10.93/2.45 % (2117460)------------------------------
% 10.93/2.45 % (2117460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117460)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117460)Termination reason: Instruction limit
% 10.93/2.45 % (2117460)Termination phase: Saturation
% 10.93/2.45 % (2117460)Time elapsed: 0.032 s
% 10.93/2.45 % (2117460)Peak memory usage: 91 MB
% 10.93/2.45 % (2117460)Instructions burned: 135 (million)
% 10.93/2.45 % (2117461)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3901831033:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 10.93/2.45 % (2117463)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=526055761:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 10.93/2.45 % (2117422)First to succeed.
% 10.93/2.45 % (2117422)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2117417"
% 10.93/2.45 % (2117445)Instruction limit reached!
% 10.93/2.45 % (2117445)------------------------------
% 10.93/2.45 % (2117445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117445)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117445)Termination reason: Instruction limit
% 10.93/2.45 % (2117445)Termination phase: Saturation
% 10.93/2.45 % (2117445)Time elapsed: 1.034 s
% 10.93/2.45 % (2117445)Peak memory usage: 143 MB
% 10.93/2.45 % (2117445)Instructions burned: 2351 (million)
% 10.93/2.45 % (2117461)Instruction limit reached!
% 10.93/2.45 % (2117461)------------------------------
% 10.93/2.45 % (2117461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.45 % (2117461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.45 % (2117461)CaDiCaL version: 2.1.3
% 10.93/2.45 % (2117461)Termination reason: Instruction limit
% 10.93/2.45 % (2117461)Termination phase: Saturation
% 10.93/2.45 % (2117461)Time elapsed: 0.369 s
% 10.93/2.45 % (2117461)Peak memory usage: 95 MB
% 10.93/2.45 % (2117461)Instructions burned: 594 (million)
% 10.93/2.45 % (2117422)Refutation found. Thanks to Tanya!
% 10.93/2.45 % SZS status Theorem for theBenchmark
% 10.93/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 11.87/2.65 % (2117422)------------------------------
% 11.87/2.65 % (2117422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.65 % (2117422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.65 % (2117422)CaDiCaL version: 2.1.3
% 11.87/2.65 % (2117422)Termination reason: Refutation
% 11.87/2.65 % (2117422)Time elapsed: 1.195 s
% 11.87/2.65 % (2117422)Peak memory usage: 138 MB
% 11.87/2.65 % (2117422)Instructions burned: 1934 (million)
% 11.87/2.65 % (2117422)------------------------------
% 11.87/2.65 % (2117422)------------------------------
% 11.87/2.65 % (2117417)Success in time 1.598 s
% 11.87/2.65 % Vampire exiting
%------------------------------------------------------------------------------