%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG079+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 : n019.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 12:35:25 PM UTC 2026
% Result : Theorem 8.70s 12.32s
% Output : Refutation 10.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 147 ( 51 unt; 11 def)
% Number of atoms : 333 ( 75 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 342 ( 156 ~; 149 |; 27 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f60,axiom,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2905) ).
fof(f61,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f62,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f77]) ).
fof(f81,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(f82,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,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f83]) ).
fof(f138,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f139,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f149,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f199,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f201,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f203,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f205,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f207,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f209,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f210,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f211,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f212,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f214,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f222,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(cnf_transformation,[],[f60]) ).
fof(f223,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[],[f68]) ).
fof(f227,definition,
sF2 = sdtpldt0(xE,xH),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f228,plain,
sdtpldt0(xE,xH) = sF2,
inference(reorient_equations,[],[f227]) ).
fof(f229,definition,
sF3 = sdtasdt0(sF2,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f230,plain,
sdtasdt0(sF2,sF2) = sF3,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF4 = sdtpldt0(xC,xF),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f232,plain,
sdtpldt0(xC,xF) = sF4,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF5 = sdtpldt0(xD,xG),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f234,plain,
sdtpldt0(xD,xG) = sF5,
inference(reorient_equations,[],[f233]) ).
fof(f235,definition,
sF6 = sdtasdt0(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f236,plain,
sdtasdt0(sF4,sF5) = sF6,
inference(reorient_equations,[],[f235]) ).
fof(f237,plain,
~ sdtlseqdt0(sF3,sF6),
inference(definition_folding,[],[f223,f236,f234,f232,f230,f228,f228]) ).
fof(f239,definition,
( spl7_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f240,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,definition,
( spl7_2
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f243,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f149,f242,f239]) ).
fof(f258,definition,
( spl7_5
<=> aScalar0(sF5) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f259,plain,
( aScalar0(sF5)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f260,plain,
( ~ aScalar0(sF5)
| spl7_5 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl7_6
<=> aScalar0(sF4) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f263,plain,
( aScalar0(sF4)
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f271,definition,
( spl7_8
<=> aScalar0(sF2) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f272,plain,
( aScalar0(sF2)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f273,plain,
( ~ aScalar0(sF2)
| spl7_8 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f279,plain,
( aScalar0(sF4)
| ~ aScalar0(xC)
| ~ aScalar0(xF) ),
inference(superposition,[],[f138,f232]) ).
fof(f280,plain,
( aScalar0(sF5)
| ~ aScalar0(xD)
| ~ aScalar0(xG) ),
inference(superposition,[],[f138,f234]) ).
fof(f281,plain,
( aScalar0(sF2)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f138,f228]) ).
fof(f282,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| spl7_8 ),
inference(forward_subsumption_resolution,[],[f281,f273]) ).
fof(f283,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xG)
| spl7_5 ),
inference(forward_subsumption_resolution,[],[f280,f260]) ).
fof(f284,plain,
( aScalar0(sF4)
| ~ aScalar0(xF) ),
inference(forward_subsumption_resolution,[],[f279,f199]) ).
fof(f285,plain,
( ~ aScalar0(xH)
| spl7_8 ),
inference(forward_subsumption_resolution,[],[f282,f203]) ).
fof(f286,plain,
( ~ aScalar0(xG)
| spl7_5 ),
inference(forward_subsumption_resolution,[],[f283,f201]) ).
fof(f287,plain,
aScalar0(sF4),
inference(forward_subsumption_resolution,[],[f284,f205]) ).
fof(f288,plain,
( $false
| spl7_8 ),
inference(forward_subsumption_resolution,[],[f285,f209]) ).
fof(f289,plain,
spl7_8,
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f290,plain,
( $false
| spl7_5 ),
inference(forward_subsumption_resolution,[],[f286,f207]) ).
fof(f291,plain,
spl7_5,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f292,plain,
spl7_6,
inference(avatar_split_clause,[],[f287,f262]) ).
fof(f293,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(superposition,[],[f222,f212]) ).
fof(f295,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(forward_demodulation,[],[f293,f214]) ).
fof(f296,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(forward_demodulation,[],[f295,f210]) ).
fof(f414,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) )
| ~ spl7_2 ),
inference(resolution,[],[f243,f199]) ).
fof(f417,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) )
| ~ spl7_2 ),
inference(resolution,[],[f243,f205]) ).
fof(f420,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sF2,X0) )
| ~ spl7_2
| ~ spl7_8 ),
inference(resolution,[],[f243,f272]) ).
fof(f422,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF4) = sdtasdt0(sF4,X0) )
| ~ spl7_2
| ~ spl7_6 ),
inference(resolution,[],[f243,f263]) ).
fof(f492,definition,
( spl7_24
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(definition,[new_symbols(definition,[spl7_24])],[avatar_definition]) ).
fof(f493,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f494,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl7_24 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f550,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| spl7_24 ),
inference(resolution,[],[f494,f139]) ).
fof(f551,plain,
( ~ aScalar0(xD)
| spl7_24 ),
inference(forward_subsumption_resolution,[],[f550,f199]) ).
fof(f552,plain,
( $false
| spl7_24 ),
inference(forward_subsumption_resolution,[],[f551,f201]) ).
fof(f553,plain,
spl7_24,
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f577,plain,
( sdtasdt0(xE,sF2) = sdtasdt0(sF2,xE)
| ~ spl7_2
| ~ spl7_8 ),
inference(resolution,[],[f420,f203]) ).
fof(f580,plain,
( sdtasdt0(xH,sF2) = sdtasdt0(sF2,xH)
| ~ spl7_2
| ~ spl7_8 ),
inference(resolution,[],[f420,f209]) ).
fof(f629,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xF)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xF)) ),
inference(resolution,[],[f154,f205]) ).
fof(f630,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xG)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xG)) ),
inference(resolution,[],[f154,f207]) ).
fof(f631,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xH)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xH)) ),
inference(resolution,[],[f154,f209]) ).
fof(f652,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xE,xH)) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X0,xH)) ),
inference(resolution,[],[f631,f203]) ).
fof(f664,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF2) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X0,xH)) ),
inference(forward_demodulation,[],[f652,f228]) ).
fof(f677,plain,
sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)) = sdtasdt0(xE,sF2),
inference(resolution,[],[f664,f203]) ).
fof(f680,plain,
sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)) = sdtasdt0(xH,sF2),
inference(resolution,[],[f664,f209]) ).
fof(f684,plain,
( sdtasdt0(sF2,sF2) = sdtpldt0(sdtasdt0(sF2,xE),sdtasdt0(sF2,xH))
| ~ spl7_8 ),
inference(resolution,[],[f664,f272]) ).
fof(f693,plain,
( sF3 = sdtpldt0(sdtasdt0(sF2,xE),sdtasdt0(sF2,xH))
| ~ spl7_8 ),
inference(forward_demodulation,[],[f684,f230]) ).
fof(f694,plain,
( sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)) = sdtasdt0(sF2,xH)
| ~ spl7_2
| ~ spl7_8 ),
inference(forward_demodulation,[],[f680,f580]) ).
fof(f697,plain,
( sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)) = sdtasdt0(sF2,xE)
| ~ spl7_2
| ~ spl7_8 ),
inference(forward_demodulation,[],[f677,f577]) ).
fof(f705,plain,
( sdtpldt0(sdtasdt0(xE,xE),xP) = sdtasdt0(sF2,xE)
| ~ spl7_2
| ~ spl7_8 ),
inference(forward_demodulation,[],[f697,f212]) ).
fof(f762,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xD,xG)) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X0,xG)) ),
inference(resolution,[],[f630,f201]) ).
fof(f775,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF5) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X0,xG)) ),
inference(forward_demodulation,[],[f762,f234]) ).
fof(f787,plain,
sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)) = sdtasdt0(xC,sF5),
inference(resolution,[],[f775,f199]) ).
fof(f790,plain,
sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)) = sdtasdt0(xF,sF5),
inference(resolution,[],[f775,f205]) ).
fof(f802,plain,
sdtpldt0(xS,sdtasdt0(xF,xG)) = sdtasdt0(xF,sF5),
inference(forward_demodulation,[],[f790,f214]) ).
fof(f803,plain,
sdtpldt0(sdtasdt0(xC,xD),xR) = sdtasdt0(xC,sF5),
inference(forward_demodulation,[],[f787,f210]) ).
fof(f884,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xC,xF)) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X0,xF)) ),
inference(resolution,[],[f629,f199]) ).
fof(f898,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF4) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X0,xF)) ),
inference(forward_demodulation,[],[f884,f232]) ).
fof(f922,plain,
( sdtasdt0(sF5,sF4) = sdtpldt0(sdtasdt0(sF5,xC),sdtasdt0(sF5,xF))
| ~ spl7_5 ),
inference(resolution,[],[f898,f259]) ).
fof(f1438,plain,
( sdtasdt0(xC,sF5) = sdtasdt0(sF5,xC)
| ~ spl7_2
| ~ spl7_5 ),
inference(resolution,[],[f414,f259]) ).
fof(f1583,plain,
( sdtasdt0(xF,sF5) = sdtasdt0(sF5,xF)
| ~ spl7_2
| ~ spl7_5 ),
inference(resolution,[],[f417,f259]) ).
fof(f2149,plain,
( sdtasdt0(sF4,sF5) = sdtasdt0(sF5,sF4)
| ~ spl7_2
| ~ spl7_5
| ~ spl7_6 ),
inference(resolution,[],[f422,f259]) ).
fof(f2151,plain,
( sF6 = sdtasdt0(sF5,sF4)
| ~ spl7_2
| ~ spl7_5
| ~ spl7_6 ),
inference(forward_demodulation,[],[f2149,f236]) ).
fof(f2684,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,sF5),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(superposition,[],[f296,f803]) ).
fof(f2685,plain,
( aScalar0(sdtasdt0(xC,sF5))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(xR) ),
inference(superposition,[],[f138,f803]) ).
fof(f2698,plain,
( aScalar0(sdtasdt0(xC,sF5))
| ~ aScalar0(xR)
| ~ spl7_24 ),
inference(forward_subsumption_resolution,[],[f2685,f493]) ).
fof(f2699,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,sF5),sdtasdt0(xF,sF5))),
inference(forward_demodulation,[],[f2684,f802]) ).
fof(f2706,plain,
( aScalar0(sdtasdt0(xC,sF5))
| ~ spl7_24 ),
inference(forward_subsumption_resolution,[],[f2698,f211]) ).
fof(f2707,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,sF5),sdtasdt0(sF5,xF)))
| ~ spl7_2
| ~ spl7_5 ),
inference(forward_demodulation,[],[f2699,f1583]) ).
fof(f2715,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(sF5,xC),sdtasdt0(sF5,xF)))
| ~ spl7_2
| ~ spl7_5 ),
inference(forward_demodulation,[],[f2707,f1438]) ).
fof(f2756,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtasdt0(sF5,sF4))
| ~ spl7_2
| ~ spl7_5 ),
inference(forward_demodulation,[],[f2715,f922]) ).
fof(f2758,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sF6)
| ~ spl7_2
| ~ spl7_5
| ~ spl7_6 ),
inference(forward_demodulation,[],[f2756,f2151]) ).
fof(f2772,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtasdt0(sF2,xH)),sF6)
| ~ spl7_2
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8 ),
inference(forward_demodulation,[],[f2758,f694]) ).
fof(f2773,plain,
( sdtlseqdt0(sdtpldt0(sdtasdt0(sF2,xE),sdtasdt0(sF2,xH)),sF6)
| ~ spl7_2
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8 ),
inference(forward_demodulation,[],[f2772,f705]) ).
fof(f2774,plain,
( sdtlseqdt0(sF3,sF6)
| ~ spl7_2
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8 ),
inference(forward_demodulation,[],[f2773,f693]) ).
fof(f2775,plain,
( $false
| ~ spl7_2
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f2774,f237]) ).
fof(f2776,plain,
( ~ spl7_2
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8 ),
inference(avatar_contradiction_clause,[],[f2775]) ).
fof(f2815,plain,
( $false
| ~ spl7_1
| ~ spl7_24 ),
inference(forward_subsumption_resolution,[],[f2706,f240]) ).
fof(f2816,plain,
( ~ spl7_1
| ~ spl7_24 ),
inference(avatar_contradiction_clause,[],[f2815]) ).
cnf(s1,plain,
( spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f244]) ).
cnf(s6,plain,
spl7_8,
inference(sat_conversion,[],[f289]) ).
cnf(s7,plain,
spl7_5,
inference(sat_conversion,[],[f291]) ).
cnf(s8,plain,
spl7_6,
inference(sat_conversion,[],[f292]) ).
cnf(s23,plain,
spl7_24,
inference(sat_conversion,[],[f553]) ).
cnf(s77,plain,
( ~ spl7_2
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8 ),
inference(sat_conversion,[],[f2776]) ).
cnf(s81,plain,
( ~ spl7_1
| ~ spl7_24 ),
inference(sat_conversion,[],[f2816]) ).
cnf(s91,plain,
~ spl7_1,
inference(rat,[],[s81,s23]) ).
cnf(s102,plain,
~ spl7_2,
inference(rat,[],[s77,s7,s8,s6]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s1,s102,s91]) ).
fof(f2873,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG079+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.40 % Computer : n019.cluster.edu
% 0.10/10.40 % Model : x86_64 x86_64
% 0.10/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.40 % Memory : 8046.5625MB
% 0.10/10.40 % OS : Linux 6.8.0-71-generic
% 0.10/10.40 % CPULimit : 300
% 0.10/10.40 % WCLimit : 300
% 0.10/10.40 % DateTime : Sun Sep 27 23:09:31 UTC 2026
% 0.10/10.41 % CPUTime :
% 0.10/10.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.43 Running first-order theorem proving
% 0.10/10.43 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
% 8.70/12.32 % (3509968)Detected formulas, will run a generic FOF schedule.
% 8.70/12.32 % (3509976)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2417790862:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.70/12.32 % (3509976)Instruction limit reached!
% 8.70/12.32 % (3509976)------------------------------
% 8.70/12.32 % (3509976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509976)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509976)Termination reason: Instruction limit
% 8.70/12.32 % (3509976)Termination phase: Saturation
% 8.70/12.32 % (3509976)Time elapsed: 0.030 s
% 8.70/12.32 % (3509976)Peak memory usage: 89 MB
% 8.70/12.32 % (3509976)Instructions burned: 112 (million)
% 8.70/12.32 % (3509977)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3155606559:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.70/12.32 % (3509973)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=893913745:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.70/12.32 % (3509979)dis-21_1_sil=8000:lcm=predicate:random_seed=867454708: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)
% 8.70/12.32 % (3509975)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=1267059489:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.70/12.32 % (3509974)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=1392164511:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.70/12.32 % (3509978)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1213833056:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.70/12.32 % (3509979)Instruction limit reached!
% 8.70/12.32 % (3509979)------------------------------
% 8.70/12.32 % (3509979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509979)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509979)Termination reason: Instruction limit
% 8.70/12.32 % (3509979)Termination phase: Saturation
% 8.70/12.32 % (3509979)Time elapsed: 0.058 s
% 8.70/12.32 % (3509979)Peak memory usage: 88 MB
% 8.70/12.32 % (3509979)Instructions burned: 129 (million)
% 8.70/12.32 % (3509977)Instruction limit reached!
% 8.70/12.32 % (3509977)------------------------------
% 8.70/12.32 % (3509977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509977)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509977)Termination reason: Instruction limit
% 8.70/12.32 % (3509977)Termination phase: Saturation
% 8.70/12.32 % (3509977)Time elapsed: 0.068 s
% 8.70/12.32 % (3509977)Peak memory usage: 88 MB
% 8.70/12.32 % (3509977)Instructions burned: 119 (million)
% 8.70/12.32 % (3509978)Instruction limit reached!
% 8.70/12.32 % (3509978)------------------------------
% 8.70/12.32 % (3509978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509978)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509978)Termination reason: Instruction limit
% 8.70/12.32 % (3509978)Termination phase: Saturation
% 8.70/12.32 % (3509978)Time elapsed: 0.089 s
% 8.70/12.32 % (3509978)Peak memory usage: 90 MB
% 8.70/12.32 % (3509978)Instructions burned: 140 (million)
% 8.70/12.32 % (3509981)lrs+10_1_sil=8000:sp=occurrence:random_seed=2206594334:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.70/12.32 % (3509981)Instruction limit reached!
% 8.70/12.32 % (3509981)------------------------------
% 8.70/12.32 % (3509981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509981)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509981)Termination reason: Instruction limit
% 8.70/12.32 % (3509981)Termination phase: Saturation
% 8.70/12.32 % (3509981)Time elapsed: 0.096 s
% 8.70/12.32 % (3509981)Peak memory usage: 93 MB
% 8.70/12.32 % (3509981)Instructions burned: 288 (million)
% 8.70/12.32 % (3509988)lrs+10_1_sil=32000:urr=on:br=off:random_seed=614791729:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.70/12.32 % (3509989)lrs+1011_1_sil=32000:sp=occurrence:random_seed=357729259:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.70/12.32 % (3509990)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=366249353:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.70/12.32 % (3509988)Instruction limit reached!
% 8.70/12.32 % (3509988)------------------------------
% 8.70/12.32 % (3509988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509988)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509988)Termination reason: Instruction limit
% 8.70/12.32 % (3509988)Termination phase: Saturation
% 8.70/12.32 % (3509988)Time elapsed: 0.074 s
% 8.70/12.32 % (3509988)Peak memory usage: 92 MB
% 8.70/12.32 % (3509988)Instructions burned: 159 (million)
% 8.70/12.32 % (3509992)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4086209404:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.70/12.32 % (3509990)Instruction limit reached!
% 8.70/12.32 % (3509990)------------------------------
% 8.70/12.32 % (3509990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509990)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509990)Termination reason: Instruction limit
% 8.70/12.32 % (3509990)Termination phase: Saturation
% 8.70/12.32 % (3509990)Time elapsed: 0.119 s
% 8.70/12.32 % (3509990)Peak memory usage: 96 MB
% 8.70/12.32 % (3509990)Instructions burned: 249 (million)
% 8.70/12.32 % (3509989)Instruction limit reached!
% 8.70/12.32 % (3509989)------------------------------
% 8.70/12.32 % (3509989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509989)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509989)Termination reason: Instruction limit
% 8.70/12.32 % (3509989)Termination phase: Saturation
% 8.70/12.32 % (3509989)Time elapsed: 0.190 s
% 8.70/12.32 % (3509989)Peak memory usage: 93 MB
% 8.70/12.32 % (3509989)Instructions burned: 326 (million)
% 8.70/12.32 % (3509992)Instruction limit reached!
% 8.70/12.32 % (3509992)------------------------------
% 8.70/12.32 % (3509992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509992)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509992)Termination reason: Instruction limit
% 8.70/12.32 % (3509992)Termination phase: Saturation
% 8.70/12.32 % (3509992)Time elapsed: 0.092 s
% 8.70/12.32 % (3509992)Peak memory usage: 90 MB
% 8.70/12.32 % (3509992)Instructions burned: 295 (million)
% 8.70/12.32 % (3509996)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2168160897:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.70/12.32 % (3509998)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3466837305:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.70/12.32 % (3510000)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2502709910:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.70/12.32 % (3510000)Instruction limit reached!
% 8.70/12.32 % (3510000)------------------------------
% 8.70/12.32 % (3510000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3510000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3510000)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3510000)Termination reason: Instruction limit
% 8.70/12.32 % (3510000)Termination phase: Saturation
% 8.70/12.32 % (3510000)Time elapsed: 0.034 s
% 8.70/12.32 % (3510000)Peak memory usage: 89 MB
% 8.70/12.32 % (3510000)Instructions burned: 115 (million)
% 8.70/12.32 % (3509999)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1487446888:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.70/12.32 % (3509998)Instruction limit reached!
% 8.70/12.32 % (3509998)------------------------------
% 8.70/12.32 % (3509998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509998)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509998)Termination reason: Instruction limit
% 8.70/12.32 % (3509998)Termination phase: Saturation
% 8.70/12.32 % (3509998)Time elapsed: 0.074 s
% 8.70/12.32 % (3509998)Peak memory usage: 91 MB
% 8.70/12.32 % (3509998)Instructions burned: 114 (million)
% 8.70/12.32 % (3509999)Instruction limit reached!
% 8.70/12.32 % (3509999)------------------------------
% 8.70/12.32 % (3509999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3509999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3509999)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3509999)Termination reason: Instruction limit
% 8.70/12.32 % (3509999)Termination phase: Saturation
% 8.70/12.32 % (3509999)Time elapsed: 0.066 s
% 8.70/12.32 % (3509999)Peak memory usage: 89 MB
% 8.70/12.32 % (3509999)Instructions burned: 127 (million)
% 8.70/12.32 % (3510004)lrs+10_1_sil=8000:sp=occurrence:random_seed=2367499268:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.70/12.32 % (3510006)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1306844887:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.70/12.32 % (3510007)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1110398993:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.70/12.32 % (3510004)Instruction limit reached!
% 8.70/12.32 % (3510004)------------------------------
% 8.70/12.32 % (3510004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3510004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3510004)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3510004)Termination reason: Instruction limit
% 8.70/12.32 % (3510004)Termination phase: Saturation
% 8.70/12.32 % (3510004)Time elapsed: 0.271 s
% 8.70/12.32 % (3510004)Peak memory usage: 101 MB
% 8.70/12.32 % (3510004)Instructions burned: 911 (million)
% 8.70/12.32 % (3509973)First to succeed.
% 8.70/12.32 % (3509973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3509968"
% 8.70/12.32 % (3510006)Instruction limit reached!
% 8.70/12.32 % (3510006)------------------------------
% 8.70/12.32 % (3510006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3510006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3510006)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3510006)Termination reason: Instruction limit
% 8.70/12.32 % (3510006)Termination phase: Saturation
% 8.70/12.32 % (3510006)Time elapsed: 0.246 s
% 8.70/12.32 % (3510006)Peak memory usage: 94 MB
% 8.70/12.32 % (3510006)Instructions burned: 437 (million)
% 8.70/12.32 % (3509975)Also succeeded, but the first one will report.
% 8.70/12.32 % (3510011)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=880256620:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.70/12.32 % (3510011)Instruction limit reached!
% 8.70/12.32 % (3510011)------------------------------
% 8.70/12.32 % (3510011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/12.32 % (3510011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/12.32 % (3510011)CaDiCaL version: 2.1.3
% 8.70/12.32 % (3510011)Termination reason: Instruction limit
% 8.70/12.32 % (3510011)Termination phase: Saturation
% 8.70/12.32 % (3510011)Time elapsed: 0.033 s
% 8.70/12.32 % (3510011)Peak memory usage: 92 MB
% 8.70/12.32 % (3510011)Instructions burned: 136 (million)
% 8.70/12.32 % (3510012)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2358699139:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 8.70/12.32 % (3509973)Refutation found. Thanks to Tanya!
% 8.70/12.32 % SZS status Theorem for theBenchmark
% 8.70/12.32 % SZS output start Proof for theBenchmark
% See solution above
% 10.76/12.51 % (3509973)------------------------------
% 10.76/12.51 % (3509973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/12.51 % (3509973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/12.51 % (3509973)CaDiCaL version: 2.1.3
% 10.76/12.51 % (3509973)Termination reason: Refutation
% 10.76/12.51 % (3509973)Time elapsed: 0.993 s
% 10.76/12.51 % (3509973)Peak memory usage: 135 MB
% 10.76/12.51 % (3509973)Instructions burned: 1584 (million)
% 10.76/12.51 % (3509973)------------------------------
% 10.76/12.51 % (3509973)------------------------------
% 10.76/12.51 % (3509968)Success in time 1.437 s
% 10.76/12.51 % Vampire exiting
%------------------------------------------------------------------------------