%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG064+2 : 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 : n016.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 10.68s 2.37s
% Output : Refutation 11.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 105 ( 38 unt; 6 def)
% Number of atoms : 284 ( 57 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 322 ( 143 ~; 135 |; 34 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 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(f140,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f141,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f142,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f143,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f150,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f155,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(f162,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f165,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(f214,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f218,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f220,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f228,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(f229,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(f230,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),
inference(cnf_transformation,[],[f63]) ).
fof(f231,plain,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f71]) ).
fof(f235,definition,
sF2 = sdtpldt0(xN,xN),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f236,plain,
sdtpldt0(xN,xN) = sF2,
inference(reorient_equations,[],[f235]) ).
fof(f237,definition,
sF3 = sdtasdt0(xR,xR),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f238,plain,
sdtasdt0(xR,xR) = sF3,
inference(reorient_equations,[],[f237]) ).
fof(f239,definition,
sF4 = sdtasdt0(xS,xS),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f240,plain,
sdtasdt0(xS,xS) = sF4,
inference(reorient_equations,[],[f239]) ).
fof(f241,definition,
sF5 = sdtpldt0(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f242,plain,
sdtpldt0(sF3,sF4) = sF5,
inference(reorient_equations,[],[f241]) ).
fof(f243,plain,
~ sdtlseqdt0(sF2,sF5),
inference(definition_folding,[],[f231,f242,f240,f238,f236]) ).
fof(f260,plain,
( aScalar0(sF2)
| ~ aScalar0(xN)
| ~ aScalar0(xN) ),
inference(superposition,[],[f141,f236]) ).
fof(f262,plain,
( aScalar0(sF2)
| ~ aScalar0(xN) ),
inference(duplicate_literal_removal,[],[f260]) ).
fof(f276,plain,
aScalar0(sF2),
inference(forward_subsumption_resolution,[],[f262,f220]) ).
fof(f289,plain,
! [X0,X1] :
( sdtlseqdt0(sF2,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(xN,X0)
| ~ sdtlseqdt0(xN,X1)
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ aScalar0(xN)
| ~ aScalar0(X1) ),
inference(superposition,[],[f165,f236]) ).
fof(f296,plain,
! [X0,X1] :
( sdtlseqdt0(sF2,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(xN,X0)
| ~ sdtlseqdt0(xN,X1)
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f298,plain,
! [X0,X1] :
( sdtlseqdt0(sF2,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(xN,X0)
| ~ sdtlseqdt0(xN,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f296,f220]) ).
fof(f299,plain,
( sdtlseqdt0(sF2,sF2)
| ~ sdtlseqdt0(xN,xN)
| ~ sdtlseqdt0(xN,xN)
| ~ aScalar0(xN)
| ~ aScalar0(xN) ),
inference(superposition,[],[f298,f236]) ).
fof(f302,plain,
( sdtlseqdt0(sF2,sF2)
| ~ sdtlseqdt0(xN,xN)
| ~ aScalar0(xN) ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f303,plain,
( sdtlseqdt0(sF2,sF2)
| ~ aScalar0(xN) ),
inference(forward_subsumption_resolution,[],[f302,f162]) ).
fof(f304,plain,
sdtlseqdt0(sF2,sF2),
inference(forward_subsumption_resolution,[],[f303,f220]) ).
fof(f327,definition,
( spl6_9
<=> aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f328,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| spl6_9 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f464,plain,
( ~ aScalar0(sdtpldt0(xR,smndt0(xS)))
| ~ aScalar0(sdtpldt0(xR,smndt0(xS)))
| spl6_9 ),
inference(resolution,[],[f328,f142]) ).
fof(f465,plain,
( ~ aScalar0(sdtpldt0(xR,smndt0(xS)))
| spl6_9 ),
inference(duplicate_literal_removal,[],[f464]) ).
fof(f466,plain,
( ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| spl6_9 ),
inference(resolution,[],[f465,f141]) ).
fof(f467,plain,
( ~ aScalar0(smndt0(xS))
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f466,f214]) ).
fof(f507,plain,
( ~ aScalar0(xS)
| spl6_9 ),
inference(resolution,[],[f143,f467]) ).
fof(f510,plain,
( $false
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f507,f218]) ).
fof(f511,plain,
spl6_9,
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f777,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN)) ),
inference(resolution,[],[f155,f220]) ).
fof(f956,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xN),xN) = sdtpldt0(X0,sdtpldt0(xN,xN)) ),
inference(resolution,[],[f777,f220]) ).
fof(f961,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sF2) = sdtpldt0(sdtpldt0(X0,xN),xN) ),
inference(forward_demodulation,[],[f956,f236]) ).
fof(f974,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sF2)
| ~ spl6_9 ),
inference(resolution,[],[f961,f329]) ).
fof(f994,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sF2)
| ~ spl6_9 ),
inference(forward_demodulation,[],[f974,f229]) ).
fof(f997,plain,
( sdtpldt0(sdtasdt0(xR,xR),sF4) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sF2)
| ~ spl6_9 ),
inference(forward_demodulation,[],[f994,f240]) ).
fof(f999,plain,
( sdtpldt0(sF3,sF4) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sF2)
| ~ spl6_9 ),
inference(forward_demodulation,[],[f997,f238]) ).
fof(f1001,plain,
( sF5 = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sF2)
| ~ spl6_9 ),
inference(forward_demodulation,[],[f999,f242]) ).
fof(f1086,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sF4),smndt0(xN)),smndt0(xN)),
inference(superposition,[],[f228,f240]) ).
fof(f1101,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sF3,sF4),smndt0(xN)),smndt0(xN)),
inference(forward_demodulation,[],[f1086,f238]) ).
fof(f1108,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)),
inference(forward_demodulation,[],[f1101,f242]) ).
fof(f1192,plain,
sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN))),
inference(superposition,[],[f230,f1108]) ).
fof(f1209,definition,
( spl6_70
<=> sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN))) ),
introduced(definition,[new_symbols(definition,[spl6_70])],[avatar_definition]) ).
fof(f1211,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(sF5,smndt0(xN)),smndt0(xN)))
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1221,plain,
spl6_70,
inference(avatar_split_clause,[],[f1192,f1209]) ).
fof(f1571,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sF5)
| ~ sdtlseqdt0(X0,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ sdtlseqdt0(X1,sF2)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ aScalar0(X1)
| ~ aScalar0(sF2) )
| ~ spl6_9 ),
inference(superposition,[],[f165,f1001]) ).
fof(f1585,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sF5)
| ~ sdtlseqdt0(X0,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ sdtlseqdt0(X1,sF2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sF2) )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f1571,f329]) ).
fof(f1592,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sF5)
| ~ sdtlseqdt0(X0,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ sdtlseqdt0(X1,sF2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f1585,f276]) ).
fof(f1599,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_9 ),
inference(forward_demodulation,[],[f1592,f1108]) ).
fof(f1778,plain,
sF2 = sdtpldt0(sz0z00,sF2),
inference(resolution,[],[f150,f276]) ).
fof(f5582,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz0z00,X0),sF5)
| ~ sdtlseqdt0(X0,sF2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_9
| ~ spl6_70 ),
inference(resolution,[],[f1211,f1599]) ).
fof(f5587,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz0z00,X0),sF5)
| ~ sdtlseqdt0(X0,sF2)
| ~ aScalar0(X0) )
| ~ spl6_9
| ~ spl6_70 ),
inference(forward_subsumption_resolution,[],[f5582,f140]) ).
fof(f5774,plain,
( sdtlseqdt0(sF2,sF5)
| ~ sdtlseqdt0(sF2,sF2)
| ~ aScalar0(sF2)
| ~ spl6_9
| ~ spl6_70 ),
inference(superposition,[],[f5587,f1778]) ).
fof(f5776,plain,
( ~ sdtlseqdt0(sF2,sF2)
| ~ aScalar0(sF2)
| ~ spl6_9
| ~ spl6_70 ),
inference(forward_subsumption_resolution,[],[f5774,f243]) ).
fof(f5779,plain,
( ~ aScalar0(sF2)
| ~ spl6_9
| ~ spl6_70 ),
inference(forward_subsumption_resolution,[],[f5776,f304]) ).
fof(f5780,plain,
( $false
| ~ spl6_9
| ~ spl6_70 ),
inference(forward_subsumption_resolution,[],[f5779,f276]) ).
fof(f5781,plain,
( ~ spl6_9
| ~ spl6_70 ),
inference(avatar_contradiction_clause,[],[f5780]) ).
cnf(s16,plain,
spl6_9,
inference(sat_conversion,[],[f511]) ).
cnf(s60,plain,
spl6_70,
inference(sat_conversion,[],[f1221]) ).
cnf(s324,plain,
( ~ spl6_9
| ~ spl6_70 ),
inference(sat_conversion,[],[f5781]) ).
cnf(s335,plain,
~ spl6_9,
inference(rat,[],[s324,s60]) ).
cnf(s338,plain,
$false,
inference(rat,[],[s16,s335]) ).
fof(f5782,plain,
$false,
inference(avatar_sat_refutation,[],[s338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG064+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n016.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 23:12:03 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.68/2.37 % (3098009)Detected formulas, will run a generic FOF schedule.
% 10.68/2.37 % (3098018)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=111657591:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.68/2.37 % (3098014)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=3923158320:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.68/2.37 % (3098018)Instruction limit reached!
% 10.68/2.37 % (3098018)------------------------------
% 10.68/2.37 % (3098018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098018)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098018)Termination reason: Instruction limit
% 10.68/2.37 % (3098018)Termination phase: Saturation
% 10.68/2.37 % (3098018)Time elapsed: 0.039 s
% 10.68/2.37 % (3098018)Peak memory usage: 88 MB
% 10.68/2.37 % (3098018)Instructions burned: 121 (million)
% 10.68/2.37 % (3098019)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2510069665:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.68/2.37 % (3098017)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2728775916:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.68/2.37 % (3098016)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=2093988399:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.68/2.37 % (3098015)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=1892708765:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.68/2.37 % (3098020)dis-21_1_sil=8000:lcm=predicate:random_seed=607566119: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)
% 10.68/2.37 % (3098017)Instruction limit reached!
% 10.68/2.37 % (3098017)------------------------------
% 10.68/2.37 % (3098017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098017)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098017)Termination reason: Instruction limit
% 10.68/2.37 % (3098017)Termination phase: Saturation
% 10.68/2.37 % (3098017)Time elapsed: 0.056 s
% 10.68/2.37 % (3098017)Peak memory usage: 89 MB
% 10.68/2.37 % (3098017)Instructions burned: 109 (million)
% 10.68/2.37 % (3098020)Instruction limit reached!
% 10.68/2.37 % (3098020)------------------------------
% 10.68/2.37 % (3098020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098020)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098020)Termination reason: Instruction limit
% 10.68/2.37 % (3098020)Termination phase: Saturation
% 10.68/2.37 % (3098020)Time elapsed: 0.057 s
% 10.68/2.37 % (3098020)Peak memory usage: 89 MB
% 10.68/2.37 % (3098020)Instructions burned: 131 (million)
% 10.68/2.37 % (3098024)lrs+10_1_sil=8000:sp=occurrence:random_seed=2098575147:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.68/2.37 % (3098019)Instruction limit reached!
% 10.68/2.37 % (3098019)------------------------------
% 10.68/2.37 % (3098019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098019)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098019)Termination reason: Instruction limit
% 10.68/2.37 % (3098019)Termination phase: Saturation
% 10.68/2.37 % (3098019)Time elapsed: 0.107 s
% 10.68/2.37 % (3098019)Peak memory usage: 90 MB
% 10.68/2.37 % (3098019)Instructions burned: 139 (million)
% 10.68/2.37 % (3098024)Instruction limit reached!
% 10.68/2.37 % (3098024)------------------------------
% 10.68/2.37 % (3098024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098024)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098024)Termination reason: Instruction limit
% 10.68/2.37 % (3098024)Termination phase: Saturation
% 10.68/2.37 % (3098024)Time elapsed: 0.095 s
% 10.68/2.37 % (3098024)Peak memory usage: 93 MB
% 10.68/2.37 % (3098024)Instructions burned: 288 (million)
% 10.68/2.37 % (3098030)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3513386038:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.68/2.37 % (3098029)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1254498014:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.68/2.37 % (3098032)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=1484355289:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.68/2.37 % (3098029)Instruction limit reached!
% 10.68/2.37 % (3098029)------------------------------
% 10.68/2.37 % (3098029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098029)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098029)Termination reason: Instruction limit
% 10.68/2.37 % (3098029)Termination phase: Saturation
% 10.68/2.37 % (3098029)Time elapsed: 0.071 s
% 10.68/2.37 % (3098029)Peak memory usage: 90 MB
% 10.68/2.37 % (3098029)Instructions burned: 157 (million)
% 10.68/2.37 % (3098033)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=841290404:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.68/2.37 % (3098033)Instruction limit reached!
% 10.68/2.37 % (3098033)------------------------------
% 10.68/2.37 % (3098033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098033)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098033)Termination reason: Instruction limit
% 10.68/2.37 % (3098033)Termination phase: Saturation
% 10.68/2.37 % (3098033)Time elapsed: 0.092 s
% 10.68/2.37 % (3098033)Peak memory usage: 90 MB
% 10.68/2.37 % (3098033)Instructions burned: 296 (million)
% 10.68/2.37 % (3098032)Instruction limit reached!
% 10.68/2.37 % (3098032)------------------------------
% 10.68/2.37 % (3098032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098032)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098032)Termination reason: Instruction limit
% 10.68/2.37 % (3098032)Termination phase: Saturation
% 10.68/2.37 % (3098032)Time elapsed: 0.118 s
% 10.68/2.37 % (3098032)Peak memory usage: 94 MB
% 10.68/2.37 % (3098032)Instructions burned: 250 (million)
% 10.68/2.37 % (3098037)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2002178403:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.68/2.37 % (3098030)Instruction limit reached!
% 10.68/2.37 % (3098030)------------------------------
% 10.68/2.37 % (3098030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098030)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098030)Termination reason: Instruction limit
% 10.68/2.37 % (3098030)Termination phase: Saturation
% 10.68/2.37 % (3098030)Time elapsed: 0.209 s
% 10.68/2.37 % (3098030)Peak memory usage: 93 MB
% 10.68/2.37 % (3098030)Instructions burned: 326 (million)
% 10.68/2.37 % (3098039)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2536287755:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 10.68/2.37 % (3098039)Instruction limit reached!
% 10.68/2.37 % (3098039)------------------------------
% 10.68/2.37 % (3098039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098039)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098039)Termination reason: Instruction limit
% 10.68/2.37 % (3098039)Termination phase: Saturation
% 10.68/2.37 % (3098039)Time elapsed: 0.040 s
% 10.68/2.37 % (3098039)Peak memory usage: 91 MB
% 10.68/2.37 % (3098039)Instructions burned: 114 (million)
% 10.68/2.37 % (3098040)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4231734674:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.68/2.37 % (3098042)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2632842918:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 10.68/2.37 % (3098040)Instruction limit reached!
% 10.68/2.37 % (3098040)------------------------------
% 10.68/2.37 % (3098040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098040)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098040)Termination reason: Instruction limit
% 10.68/2.37 % (3098040)Termination phase: Saturation
% 10.68/2.37 % (3098040)Time elapsed: 0.068 s
% 10.68/2.37 % (3098040)Peak memory usage: 89 MB
% 10.68/2.37 % (3098040)Instructions burned: 127 (million)
% 10.68/2.37 % (3098044)lrs+10_1_sil=8000:sp=occurrence:random_seed=3972246550:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 10.68/2.37 % (3098042)Instruction limit reached!
% 10.68/2.37 % (3098042)------------------------------
% 10.68/2.37 % (3098042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098042)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098042)Termination reason: Instruction limit
% 10.68/2.37 % (3098042)Termination phase: Saturation
% 10.68/2.37 % (3098042)Time elapsed: 0.064 s
% 10.68/2.37 % (3098042)Peak memory usage: 89 MB
% 10.68/2.37 % (3098042)Instructions burned: 114 (million)
% 10.68/2.37 % (3098047)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4017134554:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.68/2.37 % (3098049)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=477604051:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.68/2.37 % (3098044)Instruction limit reached!
% 10.68/2.37 % (3098044)------------------------------
% 10.68/2.37 % (3098044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098044)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098044)Termination reason: Instruction limit
% 10.68/2.37 % (3098044)Termination phase: Saturation
% 10.68/2.37 % (3098044)Time elapsed: 0.277 s
% 10.68/2.37 % (3098044)Peak memory usage: 104 MB
% 10.68/2.37 % (3098044)Instructions burned: 908 (million)
% 10.68/2.37 % (3098052)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1108262317:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 10.68/2.37 % (3098047)Instruction limit reached!
% 10.68/2.37 % (3098047)------------------------------
% 10.68/2.37 % (3098047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098047)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098047)Termination reason: Instruction limit
% 10.68/2.37 % (3098047)Termination phase: Saturation
% 10.68/2.37 % (3098047)Time elapsed: 0.262 s
% 10.68/2.37 % (3098047)Peak memory usage: 95 MB
% 10.68/2.37 % (3098047)Instructions burned: 438 (million)
% 10.68/2.37 % (3098052)Instruction limit reached!
% 10.68/2.37 % (3098052)------------------------------
% 10.68/2.37 % (3098052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.37 % (3098052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.37 % (3098052)CaDiCaL version: 2.1.3
% 10.68/2.37 % (3098052)Termination reason: Instruction limit
% 10.68/2.37 % (3098052)Termination phase: Saturation
% 10.68/2.37 % (3098052)Time elapsed: 0.033 s
% 10.68/2.37 % (3098052)Peak memory usage: 91 MB
% 10.68/2.37 % (3098052)Instructions burned: 137 (million)
% 10.68/2.37 % (3098055)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1582309781:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 10.68/2.37 % (3098054)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1636285731:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 10.68/2.37 % (3098014)First to succeed.
% 10.68/2.37 % (3098014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3098009"
% 10.68/2.37 % (3098037)Also succeeded, but the first one will report.
% 10.68/2.37 % (3098014)Refutation found. Thanks to Tanya!
% 10.68/2.37 % SZS status Theorem for theBenchmark
% 10.68/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 11.22/2.47 % (3098014)------------------------------
% 11.22/2.47 % (3098014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3098014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3098014)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3098014)Termination reason: Refutation
% 11.22/2.47 % (3098014)Time elapsed: 1.135 s
% 11.22/2.47 % (3098014)Peak memory usage: 137 MB
% 11.22/2.47 % (3098014)Instructions burned: 1707 (million)
% 11.22/2.47 % (3098014)------------------------------
% 11.22/2.47 % (3098014)------------------------------
% 11.22/2.47 % (3098009)Success in time 1.527 s
% 11.22/2.47 % Vampire exiting
%------------------------------------------------------------------------------