%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG064+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:35:21 PM UTC 2026
% Result : Theorem 12.68s 2.77s
% Output : Refutation 14.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 23
% Syntax : Number of formulae : 113 ( 43 unt; 8 def)
% Number of atoms : 291 ( 58 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 318 ( 140 ~; 132 |; 34 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
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/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f61,axiom,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2262) ).
fof(f62,axiom,
sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2303) ).
fof(f63,axiom,
sdtlseqdt0(sz0z00,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2318) ).
fof(f64,conjecture,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f65,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f71,plain,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(flattening,[],[f65]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f79,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f83,plain,
! [X0] :
( ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f84,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(f85,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,[],[f84]) ).
fof(f94,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f99]) ).
fof(f138,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f139,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f140,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f141,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f148,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f160,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f100]) ).
fof(f208,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f212,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f214,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f222,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(cnf_transformation,[],[f61]) ).
fof(f223,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN),
inference(cnf_transformation,[],[f62]) ).
fof(f224,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),
inference(cnf_transformation,[],[f63]) ).
fof(f225,plain,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f71]) ).
fof(f229,definition,
sF2 = sdtpldt0(xN,xN),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f230,plain,
sdtpldt0(xN,xN) = sF2,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF3 = sdtasdt0(xR,xR),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f232,plain,
sdtasdt0(xR,xR) = sF3,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF4 = sdtasdt0(xS,xS),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f234,plain,
sdtasdt0(xS,xS) = sF4,
inference(reorient_equations,[],[f233]) ).
fof(f235,definition,
sF5 = sdtpldt0(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f236,plain,
sdtpldt0(sF3,sF4) = sF5,
inference(reorient_equations,[],[f235]) ).
fof(f237,plain,
~ sdtlseqdt0(sF2,sF5),
inference(definition_folding,[],[f225,f236,f234,f232,f230]) ).
fof(f254,plain,
( aScalar0(sF2)
| ~ aScalar0(xN)
| ~ aScalar0(xN) ),
inference(superposition,[],[f139,f230]) ).
fof(f255,plain,
( aScalar0(sF2)
| ~ aScalar0(xN) ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f256,plain,
aScalar0(sF2),
inference(forward_subsumption_resolution,[],[f255,f214]) ).
fof(f280,plain,
! [X0,X1] :
( sdtlseqdt0(sF2,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(xN,X0)
| ~ sdtlseqdt0(xN,X1)
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ aScalar0(xN)
| ~ aScalar0(X1) ),
inference(superposition,[],[f163,f230]) ).
fof(f285,plain,
! [X0,X1] :
( sdtlseqdt0(sF2,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(xN,X0)
| ~ sdtlseqdt0(xN,X1)
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f289,plain,
! [X0,X1] :
( sdtlseqdt0(sF2,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(xN,X0)
| ~ sdtlseqdt0(xN,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f285,f214]) ).
fof(f313,plain,
( sdtlseqdt0(sF2,sF2)
| ~ sdtlseqdt0(xN,xN)
| ~ sdtlseqdt0(xN,xN)
| ~ aScalar0(xN)
| ~ aScalar0(xN) ),
inference(superposition,[],[f289,f230]) ).
fof(f315,plain,
( sdtlseqdt0(sF2,sF2)
| ~ sdtlseqdt0(xN,xN)
| ~ aScalar0(xN) ),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f317,plain,
( sdtlseqdt0(sF2,sF2)
| ~ aScalar0(xN) ),
inference(forward_subsumption_resolution,[],[f315,f160]) ).
fof(f319,plain,
sdtlseqdt0(sF2,sF2),
inference(forward_subsumption_resolution,[],[f317,f214]) ).
fof(f465,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN)) ),
inference(resolution,[],[f153,f214]) ).
fof(f768,plain,
sF2 = sdtpldt0(sz0z00,sF2),
inference(resolution,[],[f148,f256]) ).
fof(f808,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xN),xN) = sdtpldt0(X0,sdtpldt0(xN,xN)) ),
inference(resolution,[],[f465,f214]) ).
fof(f813,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sF2) = sdtpldt0(sdtpldt0(X0,xN),xN) ),
inference(forward_demodulation,[],[f808,f230]) ).
fof(f923,definition,
( spl6_48
<=> aScalar0(smndt0(xS)) ),
introduced(definition,[new_symbols(definition,[spl6_48])],[avatar_definition]) ).
fof(f925,plain,
( ~ aScalar0(smndt0(xS))
| spl6_48 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f1016,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sF4),smndt0(xN)),smndt0(xN)),
inference(superposition,[],[f222,f234]) ).
fof(f1031,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sF3,sF4),smndt0(xN)),smndt0(xN)),
inference(forward_demodulation,[],[f1016,f232]) ).
fof(f1038,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),
inference(forward_demodulation,[],[f1031,f236]) ).
fof(f1065,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),xN),xN),
inference(superposition,[],[f223,f1038]) ).
fof(f1066,plain,
sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN))),
inference(superposition,[],[f224,f1038]) ).
fof(f1076,plain,
( aScalar0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| ~ aScalar0(sdtpldt0(xR,smndt0(xS)))
| ~ aScalar0(sdtpldt0(xR,smndt0(xS))) ),
inference(superposition,[],[f140,f1038]) ).
fof(f1078,plain,
( aScalar0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| ~ aScalar0(sdtpldt0(xR,smndt0(xS))) ),
inference(duplicate_literal_removal,[],[f1076]) ).
fof(f1080,definition,
( spl6_54
<=> aScalar0(sdtpldt0(xR,smndt0(xS))) ),
introduced(definition,[new_symbols(definition,[spl6_54])],[avatar_definition]) ).
fof(f1082,plain,
( ~ aScalar0(sdtpldt0(xR,smndt0(xS)))
| spl6_54 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1084,definition,
( spl6_55
<=> sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN))) ),
introduced(definition,[new_symbols(definition,[spl6_55])],[avatar_definition]) ).
fof(f1086,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| ~ spl6_55 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1089,definition,
( spl6_56
<=> aScalar0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN))) ),
introduced(definition,[new_symbols(definition,[spl6_56])],[avatar_definition]) ).
fof(f1091,plain,
( aScalar0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1092,plain,
( ~ spl6_54
| spl6_56 ),
inference(avatar_split_clause,[],[f1078,f1089,f1080]) ).
fof(f1093,plain,
spl6_55,
inference(avatar_split_clause,[],[f1066,f1084]) ).
fof(f1094,plain,
sdtpldt0(sdtasdt0(xR,xR),sF4) = sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),xN),xN),
inference(forward_demodulation,[],[f1065,f234]) ).
fof(f1095,plain,
sdtpldt0(sF3,sF4) = sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),xN),xN),
inference(forward_demodulation,[],[f1094,f232]) ).
fof(f1096,plain,
sF5 = sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),xN),xN),
inference(forward_demodulation,[],[f1095,f236]) ).
fof(f1285,plain,
( ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| spl6_54 ),
inference(resolution,[],[f1082,f139]) ).
fof(f1286,plain,
( ~ aScalar0(smndt0(xS))
| spl6_54 ),
inference(forward_subsumption_resolution,[],[f1285,f208]) ).
fof(f1287,plain,
( ~ spl6_48
| spl6_54 ),
inference(avatar_split_clause,[],[f1286,f1080,f923]) ).
fof(f1288,plain,
( ~ aScalar0(xS)
| spl6_48 ),
inference(resolution,[],[f925,f141]) ).
fof(f1289,plain,
( $false
| spl6_48 ),
inference(forward_subsumption_resolution,[],[f1288,f212]) ).
fof(f1290,plain,
spl6_48,
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1392,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),xN),xN) = sdtpldt0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),sF2)
| ~ spl6_56 ),
inference(resolution,[],[f1091,f813]) ).
fof(f1395,plain,
( sF5 = sdtpldt0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),sF2)
| ~ spl6_56 ),
inference(forward_demodulation,[],[f1392,f1096]) ).
fof(f1398,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sF5)
| ~ sdtlseqdt0(X0,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| ~ sdtlseqdt0(X1,sF2)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| ~ aScalar0(X1)
| ~ aScalar0(sF2) )
| ~ spl6_56 ),
inference(superposition,[],[f163,f1395]) ).
fof(f1409,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sF5)
| ~ sdtlseqdt0(X0,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| ~ sdtlseqdt0(X1,sF2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sF2) )
| ~ spl6_56 ),
inference(forward_subsumption_resolution,[],[f1398,f1091]) ).
fof(f1413,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| sdtlseqdt0(sdtpldt0(X0,X1),sF5)
| ~ sdtlseqdt0(X1,sF2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_56 ),
inference(forward_subsumption_resolution,[],[f1409,f256]) ).
fof(f3311,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz0z00,X0),sF5)
| ~ sdtlseqdt0(X0,sF2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_55
| ~ spl6_56 ),
inference(resolution,[],[f1086,f1413]) ).
fof(f3315,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz0z00,X0),sF5)
| ~ sdtlseqdt0(X0,sF2)
| ~ aScalar0(X0) )
| ~ spl6_55
| ~ spl6_56 ),
inference(forward_subsumption_resolution,[],[f3311,f138]) ).
fof(f3530,plain,
( sdtlseqdt0(sF2,sF5)
| ~ sdtlseqdt0(sF2,sF2)
| ~ aScalar0(sF2)
| ~ spl6_55
| ~ spl6_56 ),
inference(superposition,[],[f3315,f768]) ).
fof(f3532,plain,
( ~ sdtlseqdt0(sF2,sF2)
| ~ aScalar0(sF2)
| ~ spl6_55
| ~ spl6_56 ),
inference(forward_subsumption_resolution,[],[f3530,f237]) ).
fof(f3535,plain,
( ~ aScalar0(sF2)
| ~ spl6_55
| ~ spl6_56 ),
inference(forward_subsumption_resolution,[],[f3532,f319]) ).
fof(f3536,plain,
( $false
| ~ spl6_55
| ~ spl6_56 ),
inference(forward_subsumption_resolution,[],[f3535,f256]) ).
fof(f3537,plain,
( ~ spl6_55
| ~ spl6_56 ),
inference(avatar_contradiction_clause,[],[f3536]) ).
cnf(s52,plain,
( ~ spl6_54
| spl6_56 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s53,plain,
spl6_55,
inference(sat_conversion,[],[f1093]) ).
cnf(s68,plain,
( ~ spl6_48
| spl6_54 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s69,plain,
spl6_48,
inference(sat_conversion,[],[f1290]) ).
cnf(s136,plain,
( ~ spl6_55
| ~ spl6_56 ),
inference(sat_conversion,[],[f3537]) ).
cnf(s138,plain,
spl6_54,
inference(rat,[],[s68,s69]) ).
cnf(s140,plain,
~ spl6_56,
inference(rat,[],[s136,s53]) ).
cnf(s142,plain,
$false,
inference(rat,[],[s52,s140,s138]) ).
fof(f3538,plain,
$false,
inference(avatar_sat_refutation,[],[s142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG064+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:04:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.20/2.67 % (2510782)Detected formulas, will run a generic FOF schedule.
% 12.20/2.67 % (2510793)dis-21_1_sil=8000:lcm=predicate:random_seed=4294619620: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)
% 12.20/2.67 % (2510793)Instruction limit reached!
% 12.20/2.67 % (2510793)------------------------------
% 12.20/2.67 % (2510793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.67 % (2510793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.67 % (2510793)CaDiCaL version: 2.1.3
% 12.20/2.67 % (2510793)Termination reason: Instruction limit
% 12.20/2.67 % (2510793)Termination phase: Saturation
% 12.20/2.67 % (2510793)Time elapsed: 0.033 s
% 12.20/2.67 % (2510793)Peak memory usage: 89 MB
% 12.20/2.67 % (2510793)Instructions burned: 132 (million)
% 12.20/2.67 % (2510789)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=363158311:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.20/2.67 % (2510791)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2439081254:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.20/2.67 % (2510790)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=425458149:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.20/2.67 % (2510788)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=1536148629:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.20/2.67 % (2510792)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2406971206:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.20/2.67 % (2510787)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=3260285466:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.20/2.67 % (2510790)Instruction limit reached!
% 12.20/2.67 % (2510790)------------------------------
% 12.20/2.67 % (2510790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.67 % (2510790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.67 % (2510790)CaDiCaL version: 2.1.3
% 12.20/2.67 % (2510790)Termination reason: Instruction limit
% 12.20/2.67 % (2510790)Termination phase: Saturation
% 12.20/2.67 % (2510790)Time elapsed: 0.056 s
% 12.20/2.67 % (2510790)Peak memory usage: 89 MB
% 12.20/2.67 % (2510790)Instructions burned: 111 (million)
% 12.20/2.67 % (2510791)Instruction limit reached!
% 12.20/2.67 % (2510791)------------------------------
% 12.20/2.67 % (2510791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.67 % (2510791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.67 % (2510791)CaDiCaL version: 2.1.3
% 12.20/2.67 % (2510791)Termination reason: Instruction limit
% 12.20/2.67 % (2510791)Termination phase: Saturation
% 12.20/2.67 % (2510791)Time elapsed: 0.070 s
% 12.20/2.67 % (2510791)Peak memory usage: 88 MB
% 12.20/2.67 % (2510791)Instructions burned: 120 (million)
% 12.20/2.67 % (2510792)Instruction limit reached!
% 12.20/2.67 % (2510792)------------------------------
% 12.20/2.67 % (2510792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.67 % (2510792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.67 % (2510792)CaDiCaL version: 2.1.3
% 12.20/2.67 % (2510792)Termination reason: Instruction limit
% 12.20/2.67 % (2510792)Termination phase: Saturation
% 12.20/2.67 % (2510792)Time elapsed: 0.092 s
% 12.20/2.67 % (2510792)Peak memory usage: 90 MB
% 12.20/2.67 % (2510792)Instructions burned: 140 (million)
% 12.20/2.67 % (2510795)lrs+10_1_sil=8000:sp=occurrence:random_seed=1661488255:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.20/2.67 % (2510802)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3963075703:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.20/2.67 % (2510795)Instruction limit reached!
% 12.20/2.67 % (2510795)------------------------------
% 12.20/2.67 % (2510795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.67 % (2510795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.67 % (2510795)CaDiCaL version: 2.1.3
% 12.20/2.67 % (2510795)Termination reason: Instruction limit
% 12.20/2.67 % (2510795)Termination phase: Saturation
% 12.68/2.77 % (2510795)Time elapsed: 0.094 s
% 12.68/2.77 % (2510795)Peak memory usage: 93 MB
% 12.68/2.77 % (2510795)Instructions burned: 288 (million)
% 12.68/2.77 % (2510803)lrs+1011_1_sil=32000:sp=occurrence:random_seed=225635251:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.68/2.77 % (2510804)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=37576773:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.68/2.77 % (2510802)Instruction limit reached!
% 12.68/2.77 % (2510802)------------------------------
% 12.68/2.77 % (2510802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510802)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510802)Termination reason: Instruction limit
% 12.68/2.77 % (2510802)Termination phase: Saturation
% 12.68/2.77 % (2510802)Time elapsed: 0.071 s
% 12.68/2.77 % (2510802)Peak memory usage: 90 MB
% 12.68/2.77 % (2510802)Instructions burned: 159 (million)
% 12.68/2.77 % (2510807)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2681177124:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 12.68/2.77 % (2510804)Instruction limit reached!
% 12.68/2.77 % (2510804)------------------------------
% 12.68/2.77 % (2510804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510804)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510804)Termination reason: Instruction limit
% 12.68/2.77 % (2510804)Termination phase: Saturation
% 12.68/2.77 % (2510804)Time elapsed: 0.116 s
% 12.68/2.77 % (2510804)Peak memory usage: 94 MB
% 12.68/2.77 % (2510804)Instructions burned: 249 (million)
% 12.68/2.77 % (2510807)Instruction limit reached!
% 12.68/2.77 % (2510807)------------------------------
% 12.68/2.77 % (2510807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510807)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510807)Termination reason: Instruction limit
% 12.68/2.77 % (2510807)Termination phase: Saturation
% 12.68/2.77 % (2510807)Time elapsed: 0.092 s
% 12.68/2.77 % (2510807)Peak memory usage: 90 MB
% 12.68/2.77 % (2510807)Instructions burned: 297 (million)
% 12.68/2.77 % (2510803)Instruction limit reached!
% 12.68/2.77 % (2510803)------------------------------
% 12.68/2.77 % (2510803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510803)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510803)Termination reason: Instruction limit
% 12.68/2.77 % (2510803)Termination phase: Saturation
% 12.68/2.77 % (2510803)Time elapsed: 0.204 s
% 12.68/2.77 % (2510803)Peak memory usage: 94 MB
% 12.68/2.77 % (2510803)Instructions burned: 327 (million)
% 12.68/2.77 % (2510810)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=928768785:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 12.68/2.77 % (2510812)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2039388051:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.68/2.77 % (2510813)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=428843039:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 12.68/2.77 % (2510813)Instruction limit reached!
% 12.68/2.77 % (2510813)------------------------------
% 12.68/2.77 % (2510813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510813)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510813)Termination reason: Instruction limit
% 12.68/2.77 % (2510813)Termination phase: Saturation
% 12.68/2.77 % (2510813)Time elapsed: 0.036 s
% 12.68/2.77 % (2510813)Peak memory usage: 89 MB
% 12.68/2.77 % (2510813)Instructions burned: 131 (million)
% 12.68/2.77 % (2510814)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1928931967:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 12.68/2.77 % (2510812)Instruction limit reached!
% 12.68/2.77 % (2510812)------------------------------
% 12.68/2.77 % (2510812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510812)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510812)Termination reason: Instruction limit
% 12.68/2.77 % (2510812)Termination phase: Saturation
% 12.68/2.77 % (2510812)Time elapsed: 0.075 s
% 12.68/2.77 % (2510812)Peak memory usage: 91 MB
% 12.68/2.77 % (2510812)Instructions burned: 114 (million)
% 12.68/2.77 % (2510814)Instruction limit reached!
% 12.68/2.77 % (2510814)------------------------------
% 12.68/2.77 % (2510814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510814)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510814)Termination reason: Instruction limit
% 12.68/2.77 % (2510814)Termination phase: Saturation
% 12.68/2.77 % (2510814)Time elapsed: 0.063 s
% 12.68/2.77 % (2510814)Peak memory usage: 89 MB
% 12.68/2.77 % (2510814)Instructions burned: 114 (million)
% 12.68/2.77 % (2510818)lrs+10_1_sil=8000:sp=occurrence:random_seed=3616769935:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.68/2.77 % (2510820)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4061795944:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 12.68/2.77 % (2510821)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=242295971:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 12.68/2.77 % (2510818)Instruction limit reached!
% 12.68/2.77 % (2510818)------------------------------
% 12.68/2.77 % (2510818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510818)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510818)Termination reason: Instruction limit
% 12.68/2.77 % (2510818)Termination phase: Saturation
% 12.68/2.77 % (2510818)Time elapsed: 0.270 s
% 12.68/2.77 % (2510818)Peak memory usage: 104 MB
% 12.68/2.77 % (2510818)Instructions burned: 909 (million)
% 12.68/2.77 % (2510820)Instruction limit reached!
% 12.68/2.77 % (2510820)------------------------------
% 12.68/2.77 % (2510820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510820)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510820)Termination reason: Instruction limit
% 12.68/2.77 % (2510820)Termination phase: Saturation
% 12.68/2.77 % (2510820)Time elapsed: 0.255 s
% 12.68/2.77 % (2510820)Peak memory usage: 95 MB
% 12.68/2.77 % (2510820)Instructions burned: 437 (million)
% 12.68/2.77 % (2510825)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=20865931:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 12.68/2.77 % (2510825)Instruction limit reached!
% 12.68/2.77 % (2510825)------------------------------
% 12.68/2.77 % (2510825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510825)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510825)Termination reason: Instruction limit
% 12.68/2.77 % (2510825)Termination phase: Saturation
% 12.68/2.77 % (2510825)Time elapsed: 0.033 s
% 12.68/2.77 % (2510825)Peak memory usage: 92 MB
% 12.68/2.77 % (2510825)Instructions burned: 140 (million)
% 12.68/2.77 % (2510826)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=716980141:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 12.68/2.77 % (2510828)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=799623289:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 12.68/2.77 % (2510810)First to succeed.
% 12.68/2.77 % (2510826)Instruction limit reached!
% 12.68/2.77 % (2510826)------------------------------
% 12.68/2.77 % (2510826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510826)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510826)Termination reason: Instruction limit
% 12.68/2.77 % (2510826)Termination phase: Saturation
% 12.68/2.77 % (2510826)Time elapsed: 0.300 s
% 12.68/2.77 % (2510826)Peak memory usage: 92 MB
% 12.68/2.77 % (2510826)Instructions burned: 595 (million)
% 12.68/2.77 % (2510810)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2510782"
% 12.68/2.77 % (2510831)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=110360967:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 12.68/2.77 % (2510831)Instruction limit reached!
% 12.68/2.77 % (2510831)------------------------------
% 12.68/2.77 % (2510831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.77 % (2510831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.77 % (2510831)CaDiCaL version: 2.1.3
% 12.68/2.77 % (2510831)Termination reason: Instruction limit
% 12.68/2.77 % (2510831)Termination phase: Saturation
% 12.68/2.77 % (2510831)Time elapsed: 0.064 s
% 12.68/2.77 % (2510831)Peak memory usage: 91 MB
% 12.68/2.77 % (2510831)Instructions burned: 125 (million)
% 12.68/2.77 % (2510810)Refutation found. Thanks to Tanya!
% 12.68/2.77 % SZS status Theorem for theBenchmark
% 12.68/2.77 % SZS output start Proof for theBenchmark
% See solution above
% 14.09/2.97 % (2510810)------------------------------
% 14.09/2.97 % (2510810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.97 % (2510810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.97 % (2510810)CaDiCaL version: 2.1.3
% 14.09/2.97 % (2510810)Termination reason: Refutation
% 14.09/2.97 % (2510810)Time elapsed: 1.046 s
% 14.09/2.97 % (2510810)Peak memory usage: 136 MB
% 14.09/2.97 % (2510810)Instructions burned: 1590 (million)
% 14.09/2.97 % (2510810)------------------------------
% 14.09/2.97 % (2510810)------------------------------
% 14.09/2.97 % (2510782)Success in time 1.913 s
% 14.09/2.97 % Vampire exiting
%------------------------------------------------------------------------------