%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG071+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:35:56 PM UTC 2026
% Result : Theorem 6.67s 1.52s
% Output : Refutation 6.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 133 ( 40 unt; 7 def)
% Number of atoms : 324 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 344 ( 153 ~; 153 |; 23 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X0)
& sdtlseqdt0(sz0z00,X1) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f42,axiom,
( aVector0(xp)
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( aVector0(xq)
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
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(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).
fof(f62,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f63,negated_conjecture,
~ ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f74]) ).
fof(f95,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f96,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f95]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f104,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f122,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f125,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f133,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f134,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f157,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f160,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f161,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f162,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f163,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f176,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f183,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f185,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f187,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f189,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f190,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f191,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f192,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f193,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f196,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f197,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f198,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f199,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f202,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f203,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f205,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f206,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f207,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f214,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f216,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f221,definition,
( spl2_1
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f222,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f223,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl2_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl2_2
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f227,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl2_2 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f216,f225,f221]) ).
fof(f316,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[],[f163,f196]) ).
fof(f317,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[],[f163,f198]) ).
fof(f318,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[],[f317,f189]) ).
fof(f319,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[],[f316,f187]) ).
fof(f320,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[],[f176,f190]) ).
fof(f321,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[],[f176,f192]) ).
fof(f322,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[],[f321,f185]) ).
fof(f323,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[],[f320,f183]) ).
fof(f409,definition,
( spl2_6
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f410,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f411,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_6 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f415,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_6 ),
inference(resolution,[],[f411,f134]) ).
fof(f416,plain,
( ~ aScalar0(xS)
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f415,f203]) ).
fof(f417,plain,
( $false
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f416,f207]) ).
fof(f418,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f716,plain,
! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[],[f157,f214]) ).
fof(f721,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0) )
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f716,f410]) ).
fof(f740,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(superposition,[],[f161,f202]) ).
fof(f742,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD) ),
inference(superposition,[],[f161,f206]) ).
fof(f747,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f742,f197]) ).
fof(f749,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f740,f191]) ).
fof(f752,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f747,f322]) ).
fof(f754,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f749,f318]) ).
fof(f756,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f752,f319]) ).
fof(f757,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f754,f323]) ).
fof(f758,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[],[f756,f193]) ).
fof(f759,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[],[f757,f199]) ).
fof(f766,plain,
( ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| spl2_1 ),
inference(resolution,[],[f162,f223]) ).
fof(f773,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f766,f203]) ).
fof(f775,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f773,f207]) ).
fof(f778,definition,
( spl2_9
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f780,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| spl2_9 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f782,definition,
( spl2_10
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f785,plain,
( ~ spl2_9
| ~ spl2_10
| spl2_1 ),
inference(avatar_split_clause,[],[f775,f221,f782,f778]) ).
fof(f1359,definition,
( spl2_11
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f1360,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1361,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_11 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1363,definition,
( spl2_12
<=> ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS)) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f1364,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(X0) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f1365,plain,
( ~ spl2_11
| spl2_12
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f721,f409,f1363,f1359]) ).
fof(f1366,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_11 ),
inference(resolution,[],[f1361,f134]) ).
fof(f1367,plain,
( ~ aScalar0(xP)
| spl2_11 ),
inference(duplicate_literal_removal,[],[f1366]) ).
fof(f1368,plain,
( $false
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f1367,f205]) ).
fof(f1369,plain,
spl2_11,
inference(avatar_contradiction_clause,[],[f1368]) ).
fof(f1445,plain,
spl2_10,
inference(avatar_split_clause,[],[f758,f782]) ).
fof(f1446,plain,
( $false
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f759,f780]) ).
fof(f1447,plain,
spl2_9,
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1465,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| spl2_2 ),
inference(resolution,[],[f227,f160]) ).
fof(f1467,plain,
( ~ aScalar0(sz0z00)
| sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| spl2_2
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f1465,f1360]) ).
fof(f1470,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| spl2_2
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f1467,f133]) ).
fof(f1480,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sz0z00)
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(resolution,[],[f1470,f1364]) ).
fof(f1483,plain,
( ~ aScalar0(sz0z00)
| ~ spl2_1
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1480,f222]) ).
fof(f1484,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1483,f133]) ).
fof(f1485,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f228]) ).
cnf(s4,plain,
spl2_6,
inference(sat_conversion,[],[f418]) ).
cnf(s21,plain,
( spl2_1
| ~ spl2_9
| ~ spl2_10 ),
inference(sat_conversion,[],[f785]) ).
cnf(s22,plain,
( ~ spl2_6
| ~ spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s23,plain,
spl2_11,
inference(sat_conversion,[],[f1369]) ).
cnf(s24,plain,
spl2_10,
inference(sat_conversion,[],[f1445]) ).
cnf(s25,plain,
spl2_9,
inference(sat_conversion,[],[f1447]) ).
cnf(s26,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s27,plain,
( ~ spl2_6
| spl2_12 ),
inference(rat,[],[s22,s23]) ).
cnf(s28,plain,
spl2_1,
inference(rat,[],[s21,s24,s25]) ).
cnf(s31,plain,
spl2_12,
inference(rat,[],[s27,s4]) ).
cnf(s32,plain,
spl2_2,
inference(rat,[],[s26,s28,s23,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s32,s28]) ).
fof(f1486,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG071+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n004.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 23:07:52 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.67/1.52 % (3990408)Will run a generic schedule for satisfiability detection.
% 6.67/1.52 % (3990417)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3239313277:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.67/1.52 % (3990414)% WARNING: option uhcvi not known.
% 6.67/1.52 % (3990413)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3904486338_2999 on theBenchmark for (2999ds/0Mi)
% 6.67/1.52 % (3990414)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1087701026:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.67/1.52 % (3990415)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3218290216:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.67/1.52 % (3990416)dis+10_1_sil=32000:sp=arity:random_seed=3887109002:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.67/1.52 % (3990418)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2263415797:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.67/1.52 % (3990419)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=926077663:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.67/1.52 % TRYING [1]
% 6.67/1.52 % TRYING [2]
% 6.67/1.52 % TRYING [3]
% 6.67/1.52 % TRYING [4]
% 6.67/1.52 % (3990417)Instruction limit reached!
% 6.67/1.52 % (3990417)------------------------------
% 6.67/1.52 % (3990417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990417)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990417)Termination reason: Instruction limit
% 6.67/1.52 % (3990417)Termination phase: Saturation
% 6.67/1.52 % (3990417)Time elapsed: 0.035 s
% 6.67/1.52 % (3990417)Peak memory usage: 13 MB
% 6.67/1.52 % (3990417)Instructions burned: 116 (million)
% 6.67/1.52 % (3990427)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=26481441:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.67/1.52 % TRYING [1]
% 6.67/1.52 % TRYING [2]
% 6.67/1.52 % TRYING [3]
% 6.67/1.52 % TRYING [4]
% 6.67/1.52 % (3990416)Instruction limit reached!
% 6.67/1.52 % (3990416)------------------------------
% 6.67/1.52 % (3990416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990416)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990416)Termination reason: Instruction limit
% 6.67/1.52 % (3990416)Termination phase: Saturation
% 6.67/1.52 % (3990416)Time elapsed: 0.061 s
% 6.67/1.52 % (3990416)Peak memory usage: 13 MB
% 6.67/1.52 % (3990416)Instructions burned: 103 (million)
% 6.67/1.52 % (3990418)Instruction limit reached!
% 6.67/1.52 % (3990418)------------------------------
% 6.67/1.52 % (3990418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990418)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990418)Termination reason: Instruction limit
% 6.67/1.52 % (3990418)Termination phase: Saturation
% 6.67/1.52 % (3990418)Time elapsed: 0.069 s
% 6.67/1.52 % (3990418)Peak memory usage: 13 MB
% 6.67/1.52 % (3990418)Instructions burned: 132 (million)
% 6.67/1.52 % TRYING [5]
% 6.67/1.52 % (3990429)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2308313906:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.67/1.52 % TRYING [5]
% 6.67/1.52 % (3990430)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3732883408:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.67/1.52 % (3990419)Instruction limit reached!
% 6.67/1.52 % (3990419)------------------------------
% 6.67/1.52 % (3990419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990419)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990419)Termination reason: Instruction limit
% 6.67/1.52 % (3990419)Termination phase: Saturation
% 6.67/1.52 % (3990419)Time elapsed: 0.095 s
% 6.67/1.52 % (3990419)Peak memory usage: 15 MB
% 6.67/1.52 % (3990419)Instructions burned: 159 (million)
% 6.67/1.52 % (3990433)ott-21_1_sil=16000:fs=off:random_seed=1163748455:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.67/1.52 % (3990429)Instruction limit reached!
% 6.67/1.52 % (3990429)------------------------------
% 6.67/1.52 % (3990429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990429)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990429)Termination reason: Instruction limit
% 6.67/1.52 % (3990429)Termination phase: Saturation
% 6.67/1.52 % (3990429)Time elapsed: 0.059 s
% 6.67/1.52 % (3990429)Peak memory usage: 12 MB
% 6.67/1.52 % (3990429)Instructions burned: 133 (million)
% 6.67/1.52 % (3990435)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4232437748:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.67/1.52 % TRYING [6]
% 6.67/1.52 % (3990427)Instruction limit reached!
% 6.67/1.52 % (3990427)------------------------------
% 6.67/1.52 % (3990427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990427)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990427)Termination reason: Instruction limit
% 6.67/1.52 % (3990427)Termination phase: Finite model building constraint generation
% 6.67/1.52 % (3990427)Time elapsed: 0.141 s
% 6.67/1.52 % (3990427)Peak memory usage: 37 MB
% 6.67/1.52 % (3990427)Instructions burned: 720 (million)
% 6.67/1.52 % (3990437)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=460140652:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.67/1.52 % (3990433)Instruction limit reached!
% 6.67/1.52 % (3990433)------------------------------
% 6.67/1.52 % (3990433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990433)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990433)Termination reason: Instruction limit
% 6.67/1.52 % (3990433)Termination phase: Saturation
% 6.67/1.52 % (3990433)Time elapsed: 0.089 s
% 6.67/1.52 % (3990433)Peak memory usage: 13 MB
% 6.67/1.52 % (3990433)Instructions burned: 181 (million)
% 6.67/1.52 % TRYING [1]
% 6.67/1.52 % TRYING [2]
% 6.67/1.52 % TRYING [3]
% 6.67/1.52 % (3990439)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2175418426:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.67/1.52 % TRYING [6]
% 6.67/1.52 % TRYING [4]
% 6.67/1.52 % (3990430)Instruction limit reached!
% 6.67/1.52 % (3990430)------------------------------
% 6.67/1.52 % (3990430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990430)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990430)Termination reason: Instruction limit
% 6.67/1.52 % (3990430)Termination phase: Saturation
% 6.67/1.52 % (3990430)Time elapsed: 0.282 s
% 6.67/1.52 % (3990430)Peak memory usage: 15 MB
% 6.67/1.52 % (3990430)Instructions burned: 685 (million)
% 6.67/1.52 % TRYING [5]
% 6.67/1.52 % (3990437)Instruction limit reached!
% 6.67/1.52 % (3990437)------------------------------
% 6.67/1.52 % (3990437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990437)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990437)Termination reason: Instruction limit
% 6.67/1.52 % (3990437)Termination phase: Finite model building constraint generation
% 6.67/1.52 % (3990437)Time elapsed: 0.185 s
% 6.67/1.52 % (3990437)Peak memory usage: 21 MB
% 6.67/1.52 % (3990437)Instructions burned: 867 (million)
% 6.67/1.52 % (3990441)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=656196624:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.67/1.52 % (3990442)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=6850045:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 6.67/1.52 % (3990435)Instruction limit reached!
% 6.67/1.52 % (3990435)------------------------------
% 6.67/1.52 % (3990435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990435)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990435)Termination reason: Instruction limit
% 6.67/1.52 % (3990435)Termination phase: Saturation
% 6.67/1.52 % (3990435)Time elapsed: 0.298 s
% 6.67/1.52 % (3990435)Peak memory usage: 15 MB
% 6.67/1.52 % (3990435)Instructions burned: 477 (million)
% 6.67/1.52 % (3990445)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2094980232:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 6.67/1.52 % (3990442)Instruction limit reached!
% 6.67/1.52 % (3990442)------------------------------
% 6.67/1.52 % (3990442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990442)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990442)Termination reason: Instruction limit
% 6.67/1.52 % (3990442)Termination phase: Saturation
% 6.67/1.52 % (3990442)Time elapsed: 0.197 s
% 6.67/1.52 % (3990442)Peak memory usage: 25 MB
% 6.67/1.52 % (3990442)Instructions burned: 696 (million)
% 6.67/1.52 % (3990447)fmb+10_1_sil=64000:random_seed=773234701:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.67/1.52 % TRYING [1]
% 6.67/1.52 % TRYING [2]
% 6.67/1.52 % TRYING [3]
% 6.67/1.52 % TRYING [7]
% 6.67/1.52 % TRYING [4]
% 6.67/1.52 % TRYING [5]
% 6.67/1.52 % (3990441)Instruction limit reached!
% 6.67/1.52 % (3990441)------------------------------
% 6.67/1.52 % (3990441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990441)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990441)Termination reason: Instruction limit
% 6.67/1.52 % (3990441)Termination phase: Finite model building constraint generation
% 6.67/1.52 % (3990441)Time elapsed: 0.399 s
% 6.67/1.52 % (3990441)Peak memory usage: 104 MB
% 6.67/1.52 % (3990441)Instructions burned: 891 (million)
% 6.67/1.52 % (3990449)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=816935469:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.67/1.52 % TRYING [20]
% 6.67/1.52 % (3990439)Instruction limit reached!
% 6.67/1.52 % (3990439)------------------------------
% 6.67/1.52 % (3990439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990439)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990439)Termination reason: Instruction limit
% 6.67/1.52 % (3990439)Termination phase: Saturation
% 6.67/1.52 % (3990439)Time elapsed: 0.655 s
% 6.67/1.52 % (3990439)Peak memory usage: 27 MB
% 6.67/1.52 % (3990439)Instructions burned: 1179 (million)
% 6.67/1.52 % (3990451)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2435137334:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.67/1.52 % TRYING [8]
% 6.67/1.52 % (3990445)Instruction limit reached!
% 6.67/1.52 % (3990445)------------------------------
% 6.67/1.52 % (3990445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.52 % (3990445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.52 % (3990445)CaDiCaL version: 2.1.3
% 6.67/1.52 % (3990445)Termination reason: Instruction limit
% 6.67/1.52 % (3990445)Termination phase: Saturation
% 6.67/1.52 % (3990445)Time elapsed: 0.497 s
% 6.67/1.52 % (3990445)Peak memory usage: 19 MB
% 6.67/1.52 % (3990445)Instructions burned: 880 (million)
% 6.67/1.52 % (3990453)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=168365204:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.67/1.52 % (3990453) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3990408-3990453"...
% 6.67/1.52 % (3990453)...printing done.
% 6.67/1.52 % (3990453)Refutation found. Thanks to Tanya!
% 6.67/1.52 % SZS status Theorem for theBenchmark
% 6.67/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 6.67/1.53 % (3990453)------------------------------
% 6.67/1.53 % (3990453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.53 % (3990453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.53 % (3990453)CaDiCaL version: 2.1.3
% 6.67/1.53 % (3990453)Termination reason: Refutation
% 6.67/1.53 % (3990453)Time elapsed: 0.032 s
% 6.67/1.53 % (3990453)Peak memory usage: 13 MB
% 6.67/1.53 % (3990453)Instructions burned: 55 (million)
% 6.67/1.53 % (3990408)Success in time 1.08 s
% 6.67/1.53 % Vampire exiting
%------------------------------------------------------------------------------