%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG078+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 60.47s 28.09s
% Output : Refutation 122.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 67
% Syntax : Number of formulae : 300 ( 118 unt; 50 def)
% Number of atoms : 702 ( 133 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 751 ( 349 ~; 339 |; 24 &)
% ( 36 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 37 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 29 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f44,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f58,axiom,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2796) ).
fof(f59,axiom,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2835) ).
fof(f60,conjecture,
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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f61,negated_conjecture,
~ 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(negated_conjecture,[status(cth)],[f60]) ).
fof(f62,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(flattening,[],[f61]) ).
fof(f83,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f84,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f83]) ).
fof(f109,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(f110,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,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f111]) ).
fof(f137,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f139,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f141,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f143,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f145,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f146,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f147,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f148,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f149,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f150,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f151,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f152,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f153,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f154,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f156,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f157,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f162,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(cnf_transformation,[],[f58]) ).
fof(f163,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(cnf_transformation,[],[f59]) ).
fof(f164,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,[],[f62]) ).
fof(f172,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f195,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f196,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f197,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f198,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f199,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f204,definition,
sF2 = sdtasdt0(xE,xE),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f205,plain,
sdtasdt0(xE,xE) = sF2,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF3 = sdtasdt0(xE,xH),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f207,plain,
sdtasdt0(xE,xH) = sF3,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF4 = sdtpldt0(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f209,plain,
sdtpldt0(sF2,sF3) = sF4,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF5 = sdtasdt0(xH,xE),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f211,plain,
sdtasdt0(xH,xE) = sF5,
inference(reorient_equations,[],[f210]) ).
fof(f212,definition,
sF6 = sdtasdt0(xH,xH),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f213,plain,
sdtasdt0(xH,xH) = sF6,
inference(reorient_equations,[],[f212]) ).
fof(f214,definition,
sF7 = sdtpldt0(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f215,plain,
sdtpldt0(sF5,sF6) = sF7,
inference(reorient_equations,[],[f214]) ).
fof(f216,definition,
sF8 = sdtpldt0(sF4,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f217,plain,
sdtpldt0(sF4,sF7) = sF8,
inference(reorient_equations,[],[f216]) ).
fof(f218,definition,
sF9 = sdtasdt0(xC,xD),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f219,plain,
sdtasdt0(xC,xD) = sF9,
inference(reorient_equations,[],[f218]) ).
fof(f220,definition,
sF10 = sdtasdt0(xC,xG),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f221,plain,
sdtasdt0(xC,xG) = sF10,
inference(reorient_equations,[],[f220]) ).
fof(f222,definition,
sF11 = sdtpldt0(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f223,plain,
sdtpldt0(sF9,sF10) = sF11,
inference(reorient_equations,[],[f222]) ).
fof(f224,definition,
sF12 = sdtasdt0(xF,xD),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f225,plain,
sdtasdt0(xF,xD) = sF12,
inference(reorient_equations,[],[f224]) ).
fof(f226,definition,
sF13 = sdtasdt0(xF,xG),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f227,plain,
sdtasdt0(xF,xG) = sF13,
inference(reorient_equations,[],[f226]) ).
fof(f228,definition,
sF14 = sdtpldt0(sF12,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f229,plain,
sdtpldt0(sF12,sF13) = sF14,
inference(reorient_equations,[],[f228]) ).
fof(f230,definition,
sF15 = sdtpldt0(sF11,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f231,plain,
sdtpldt0(sF11,sF14) = sF15,
inference(reorient_equations,[],[f230]) ).
fof(f232,plain,
~ sdtlseqdt0(sF8,sF15),
inference(definition_folding,[],[f164,f231,f229,f227,f225,f223,f221,f219,f217,f215,f213,f211,f209,f207,f205]) ).
fof(f234,definition,
( spl16_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f235,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,definition,
( spl16_2
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f238,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f195,f237,f234]) ).
fof(f241,definition,
( spl16_3
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f242,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f197,f241,f234]) ).
fof(f252,definition,
( spl16_4
<=> aScalar0(sF13) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f260,definition,
( spl16_6
<=> aScalar0(sF14) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f262,plain,
( aScalar0(sF14)
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f278,definition,
( spl16_10
<=> aScalar0(sF9) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f283,definition,
( spl16_11
<=> aScalar0(sF6) ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f287,definition,
( spl16_12
<=> aScalar0(sF5) ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f291,definition,
( spl16_13
<=> aScalar0(sF7) ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f293,plain,
( aScalar0(sF7)
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f309,definition,
( spl16_17
<=> aScalar0(sF2) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f358,definition,
( spl16_24
<=> aScalar0(xE) ),
introduced(definition,[new_symbols(definition,[spl16_24])],[avatar_definition]) ).
fof(f362,definition,
( spl16_25
<=> aScalar0(xH) ),
introduced(definition,[new_symbols(definition,[spl16_25])],[avatar_definition]) ).
fof(f368,definition,
( spl16_26
<=> aScalar0(xG) ),
introduced(definition,[new_symbols(definition,[spl16_26])],[avatar_definition]) ).
fof(f369,plain,
( aScalar0(xG)
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f372,definition,
( spl16_27
<=> aScalar0(xF) ),
introduced(definition,[new_symbols(definition,[spl16_27])],[avatar_definition]) ).
fof(f377,definition,
( spl16_28
<=> aScalar0(xD) ),
introduced(definition,[new_symbols(definition,[spl16_28])],[avatar_definition]) ).
fof(f384,definition,
( spl16_29
<=> aScalar0(xC) ),
introduced(definition,[new_symbols(definition,[spl16_29])],[avatar_definition]) ).
fof(f405,plain,
spl16_29,
inference(avatar_split_clause,[],[f141,f384]) ).
fof(f406,plain,
spl16_28,
inference(avatar_split_clause,[],[f143,f377]) ).
fof(f621,plain,
xP = sF3,
inference(superposition,[],[f207,f154]) ).
fof(f628,definition,
( spl16_61
<=> aScalar0(xP) ),
introduced(definition,[new_symbols(definition,[spl16_61])],[avatar_definition]) ).
fof(f652,plain,
sF4 = sdtpldt0(sF2,xP),
inference(superposition,[],[f209,f621]) ).
fof(f659,plain,
! [X0] :
( sdtpldt0(sF4,X0) = sdtpldt0(sF2,sdtpldt0(xP,X0))
| ~ aScalar0(sF2)
| ~ aScalar0(xP)
| ~ aScalar0(X0) ),
inference(superposition,[],[f198,f652]) ).
fof(f663,definition,
( spl16_65
<=> ! [X0] :
( sdtpldt0(sF4,X0) = sdtpldt0(sF2,sdtpldt0(xP,X0))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_65])],[avatar_definition]) ).
fof(f664,plain,
( ! [X0] :
( sdtpldt0(sF4,X0) = sdtpldt0(sF2,sdtpldt0(xP,X0))
| ~ aScalar0(X0) )
| ~ spl16_65 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( ~ spl16_61
| ~ spl16_17
| spl16_65 ),
inference(avatar_split_clause,[],[f659,f663,f309,f628]) ).
fof(f795,plain,
xS = sF12,
inference(superposition,[],[f225,f156]) ).
fof(f826,definition,
( spl16_90
<=> aScalar0(xS) ),
introduced(definition,[new_symbols(definition,[spl16_90])],[avatar_definition]) ).
fof(f832,plain,
sF14 = sdtpldt0(xS,sF13),
inference(superposition,[],[f229,f795]) ).
fof(f850,plain,
sdtpldt0(sdtpldt0(xP,xP),sF6) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sF6)),
inference(forward_demodulation,[],[f163,f213]) ).
fof(f851,plain,
sdtpldt0(sdtpldt0(xP,xP),sF6) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sF5,sF6)),
inference(forward_demodulation,[],[f850,f211]) ).
fof(f852,plain,
sdtpldt0(sdtpldt0(xP,xP),sF6) = sdtpldt0(sdtasdt0(xE,xH),sF7),
inference(forward_demodulation,[],[f851,f215]) ).
fof(f853,plain,
sdtpldt0(sdtpldt0(xP,xP),sF6) = sdtpldt0(sF3,sF7),
inference(forward_demodulation,[],[f852,f207]) ).
fof(f854,plain,
sdtpldt0(sdtpldt0(xP,xP),sF6) = sdtpldt0(xP,sF7),
inference(forward_demodulation,[],[f853,f621]) ).
fof(f1024,plain,
xR = sF10,
inference(superposition,[],[f221,f152]) ).
fof(f1057,definition,
( spl16_127
<=> aScalar0(xR) ),
introduced(definition,[new_symbols(definition,[spl16_127])],[avatar_definition]) ).
fof(f1061,plain,
sF11 = sdtpldt0(sF9,xR),
inference(superposition,[],[f223,f1024]) ).
fof(f1068,plain,
! [X0] :
( sdtpldt0(sF11,X0) = sdtpldt0(sF9,sdtpldt0(xR,X0))
| ~ aScalar0(sF9)
| ~ aScalar0(xR)
| ~ aScalar0(X0) ),
inference(superposition,[],[f198,f1061]) ).
fof(f1072,definition,
( spl16_128
<=> ! [X0] :
( sdtpldt0(sF11,X0) = sdtpldt0(sF9,sdtpldt0(xR,X0))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_128])],[avatar_definition]) ).
fof(f1073,plain,
( ! [X0] :
( sdtpldt0(sF11,X0) = sdtpldt0(sF9,sdtpldt0(xR,X0))
| ~ aScalar0(X0) )
| ~ spl16_128 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1074,plain,
( ~ spl16_127
| ~ spl16_10
| spl16_128 ),
inference(avatar_split_clause,[],[f1068,f1072,f278,f1057]) ).
fof(f1333,plain,
spl16_127,
inference(avatar_split_clause,[],[f153,f1057]) ).
fof(f1350,plain,
spl16_90,
inference(avatar_split_clause,[],[f157,f826]) ).
fof(f1537,plain,
( $false
| ~ spl16_1 ),
inference(backward_subsumption_resolution,[],[f151,f235]) ).
fof(f1547,plain,
~ spl16_1,
inference(avatar_contradiction_clause,[],[f1537]) ).
fof(f1554,plain,
spl16_25,
inference(avatar_split_clause,[],[f151,f362]) ).
fof(f1555,plain,
spl16_26,
inference(avatar_split_clause,[],[f149,f368]) ).
fof(f1556,plain,
spl16_27,
inference(avatar_split_clause,[],[f147,f372]) ).
fof(f1557,plain,
spl16_24,
inference(avatar_split_clause,[],[f145,f358]) ).
fof(f1618,plain,
( aScalar0(sF7)
| ~ aScalar0(sF5)
| ~ aScalar0(sF6) ),
inference(superposition,[],[f199,f215]) ).
fof(f1622,plain,
( aScalar0(sF14)
| ~ aScalar0(sF12)
| ~ aScalar0(sF13) ),
inference(superposition,[],[f199,f229]) ).
fof(f1624,plain,
( ~ aScalar0(xS)
| aScalar0(sF14)
| ~ aScalar0(sF13) ),
inference(forward_demodulation,[],[f1622,f795]) ).
fof(f1628,plain,
( ~ spl16_11
| ~ spl16_12
| spl16_13 ),
inference(avatar_split_clause,[],[f1618,f291,f287,f283]) ).
fof(f1635,plain,
( ~ spl16_4
| spl16_6
| ~ spl16_90 ),
inference(avatar_split_clause,[],[f1624,f826,f260,f252]) ).
fof(f1640,plain,
( aScalar0(sF9)
| ~ aScalar0(xC)
| ~ aScalar0(xD) ),
inference(superposition,[],[f172,f219]) ).
fof(f1644,plain,
( aScalar0(sF3)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f172,f207]) ).
fof(f1645,plain,
( aScalar0(sF2)
| ~ aScalar0(xE)
| ~ aScalar0(xE) ),
inference(superposition,[],[f172,f205]) ).
fof(f1648,plain,
( aScalar0(sF13)
| ~ aScalar0(xF)
| ~ aScalar0(xG) ),
inference(superposition,[],[f172,f227]) ).
fof(f1649,plain,
( aScalar0(sF6)
| ~ aScalar0(xH)
| ~ aScalar0(xH) ),
inference(superposition,[],[f172,f213]) ).
fof(f1650,plain,
( aScalar0(sF5)
| ~ aScalar0(xH)
| ~ aScalar0(xE) ),
inference(superposition,[],[f172,f211]) ).
fof(f1651,plain,
( aScalar0(sF6)
| ~ aScalar0(xH) ),
inference(duplicate_literal_removal,[],[f1649]) ).
fof(f1652,plain,
( aScalar0(sF2)
| ~ aScalar0(xE) ),
inference(duplicate_literal_removal,[],[f1645]) ).
fof(f1655,plain,
( ~ spl16_24
| ~ spl16_25
| spl16_12 ),
inference(avatar_split_clause,[],[f1650,f287,f362,f358]) ).
fof(f1656,plain,
( ~ spl16_25
| spl16_11 ),
inference(avatar_split_clause,[],[f1651,f283,f362]) ).
fof(f1657,plain,
( ~ spl16_26
| ~ spl16_27
| spl16_4 ),
inference(avatar_split_clause,[],[f1648,f252,f372,f368]) ).
fof(f1660,plain,
( ~ spl16_24
| spl16_17 ),
inference(avatar_split_clause,[],[f1652,f309,f358]) ).
fof(f1661,plain,
( aScalar0(xP)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(forward_demodulation,[],[f1644,f621]) ).
fof(f1665,plain,
( ~ spl16_28
| ~ spl16_29
| spl16_10 ),
inference(avatar_split_clause,[],[f1640,f278,f384,f377]) ).
fof(f1667,plain,
( ~ spl16_25
| ~ spl16_24
| spl16_61 ),
inference(avatar_split_clause,[],[f1661,f628,f358,f362]) ).
fof(f1760,definition,
( spl16_185
<=> sdtlseqdt0(sF8,sF15) ),
introduced(definition,[new_symbols(definition,[spl16_185])],[avatar_definition]) ).
fof(f2234,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(X2,sdtasdt0(X0,X1))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl16_2 ),
inference(superposition,[],[f238,f196]) ).
fof(f2237,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(X2,sdtasdt0(X0,X1))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl16_2 ),
inference(duplicate_literal_removal,[],[f2234]) ).
fof(f2391,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sF6)),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sF6))),
inference(forward_demodulation,[],[f162,f213]) ).
fof(f2392,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sF6)),sdtpldt0(sF9,sdtpldt0(sdtpldt0(xR,xS),sF6))),
inference(forward_demodulation,[],[f2391,f219]) ).
fof(f2393,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sF7)),sdtpldt0(sF9,sdtpldt0(sdtpldt0(xR,xS),sF6))),
inference(forward_demodulation,[],[f2392,f854]) ).
fof(f2394,plain,
sdtlseqdt0(sdtpldt0(sF2,sdtpldt0(xP,sF7)),sdtpldt0(sF9,sdtpldt0(sdtpldt0(xR,xS),sF6))),
inference(forward_demodulation,[],[f2393,f205]) ).
fof(f2397,plain,
( sdtlseqdt0(sdtpldt0(sF2,sdtpldt0(xP,sF7)),sdtpldt0(sF9,sdtpldt0(xR,sdtpldt0(xS,sF6))))
| ~ aScalar0(xR)
| ~ aScalar0(xS)
| ~ aScalar0(sF6) ),
inference(superposition,[],[f2394,f198]) ).
fof(f2417,definition,
( spl16_265
<=> sdtlseqdt0(sdtpldt0(sF2,sdtpldt0(xP,sF7)),sdtpldt0(sF9,sdtpldt0(xR,sdtpldt0(xS,sF6)))) ),
introduced(definition,[new_symbols(definition,[spl16_265])],[avatar_definition]) ).
fof(f2419,plain,
( sdtlseqdt0(sdtpldt0(sF2,sdtpldt0(xP,sF7)),sdtpldt0(sF9,sdtpldt0(xR,sdtpldt0(xS,sF6))))
| ~ spl16_265 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f2420,plain,
( ~ spl16_11
| ~ spl16_90
| ~ spl16_127
| spl16_265 ),
inference(avatar_split_clause,[],[f2397,f2417,f1057,f826,f283]) ).
fof(f3161,plain,
( ! [X0] :
( sdtpldt0(sF4,X0) = sdtpldt0(sF2,sdtpldt0(X0,xP))
| ~ aScalar0(X0)
| ~ aScalar0(xP)
| ~ aScalar0(X0) )
| ~ spl16_3
| ~ spl16_65 ),
inference(superposition,[],[f664,f242]) ).
fof(f3189,plain,
( ! [X0] :
( sdtpldt0(sF4,X0) = sdtpldt0(sF2,sdtpldt0(X0,xP))
| ~ aScalar0(X0)
| ~ aScalar0(xP) )
| ~ spl16_3
| ~ spl16_65 ),
inference(duplicate_literal_removal,[],[f3161]) ).
fof(f3259,definition,
( spl16_392
<=> ! [X0] :
( sdtpldt0(sF4,X0) = sdtpldt0(sF2,sdtpldt0(X0,xP))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_392])],[avatar_definition]) ).
fof(f3260,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sF4,X0) = sdtpldt0(sF2,sdtpldt0(X0,xP)) )
| ~ spl16_392 ),
inference(avatar_component_clause,[],[f3259]) ).
fof(f3262,plain,
( ~ spl16_61
| spl16_392
| ~ spl16_3
| ~ spl16_65 ),
inference(avatar_split_clause,[],[f3189,f663,f241,f3259,f628]) ).
fof(f3522,definition,
( spl16_435
<=> aScalar0(xB) ),
introduced(definition,[new_symbols(definition,[spl16_435])],[avatar_definition]) ).
fof(f3588,plain,
! [X0] :
( sdtasdt0(xF,X0) = sdtasdt0(xA,sdtasdt0(xA,X0))
| ~ aScalar0(xA)
| ~ aScalar0(xA)
| ~ aScalar0(X0) ),
inference(superposition,[],[f196,f146]) ).
fof(f3596,plain,
! [X0] :
( sdtasdt0(xF,X0) = sdtasdt0(xA,sdtasdt0(xA,X0))
| ~ aScalar0(xA)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f3588]) ).
fof(f3607,definition,
( spl16_449
<=> aScalar0(xA) ),
introduced(definition,[new_symbols(definition,[spl16_449])],[avatar_definition]) ).
fof(f3629,definition,
( spl16_454
<=> ! [X0] :
( sdtasdt0(xF,X0) = sdtasdt0(xA,sdtasdt0(xA,X0))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_454])],[avatar_definition]) ).
fof(f3630,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(xF,X0) = sdtasdt0(xA,sdtasdt0(xA,X0)) )
| ~ spl16_454 ),
inference(avatar_component_clause,[],[f3629]) ).
fof(f3631,plain,
( ~ spl16_449
| spl16_454 ),
inference(avatar_split_clause,[],[f3596,f3629,f3607]) ).
fof(f4367,plain,
! [X0] :
( sdtasdt0(xH,X0) = sdtasdt0(xA,sdtasdt0(xB,X0))
| ~ aScalar0(xA)
| ~ aScalar0(xB)
| ~ aScalar0(X0) ),
inference(superposition,[],[f196,f150]) ).
fof(f4379,definition,
( spl16_562
<=> ! [X0] :
( sdtasdt0(xH,X0) = sdtasdt0(xA,sdtasdt0(xB,X0))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_562])],[avatar_definition]) ).
fof(f4380,plain,
( ! [X0] :
( sdtasdt0(xH,X0) = sdtasdt0(xA,sdtasdt0(xB,X0))
| ~ aScalar0(X0) )
| ~ spl16_562 ),
inference(avatar_component_clause,[],[f4379]) ).
fof(f4381,plain,
( ~ spl16_435
| ~ spl16_449
| spl16_562 ),
inference(avatar_split_clause,[],[f4367,f4379,f3607,f3522]) ).
fof(f4428,plain,
( ! [X0] :
( sdtpldt0(sF11,X0) = sdtpldt0(sF9,sdtpldt0(X0,xR))
| ~ aScalar0(X0)
| ~ aScalar0(xR)
| ~ aScalar0(X0) )
| ~ spl16_3
| ~ spl16_128 ),
inference(superposition,[],[f1073,f242]) ).
fof(f4460,plain,
( ! [X0] :
( sdtpldt0(sF11,X0) = sdtpldt0(sF9,sdtpldt0(X0,xR))
| ~ aScalar0(X0)
| ~ aScalar0(xR) )
| ~ spl16_3
| ~ spl16_128 ),
inference(duplicate_literal_removal,[],[f4428]) ).
fof(f4542,definition,
( spl16_592
<=> ! [X0] :
( sdtpldt0(sF11,X0) = sdtpldt0(sF9,sdtpldt0(X0,xR))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_592])],[avatar_definition]) ).
fof(f4543,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sF11,X0) = sdtpldt0(sF9,sdtpldt0(X0,xR)) )
| ~ spl16_592 ),
inference(avatar_component_clause,[],[f4542]) ).
fof(f4545,plain,
( ~ spl16_127
| spl16_592
| ~ spl16_3
| ~ spl16_128 ),
inference(avatar_split_clause,[],[f4460,f1072,f241,f4542,f1057]) ).
fof(f7642,definition,
( spl16_1026
<=> sF6 = sF13 ),
introduced(definition,[new_symbols(definition,[spl16_1026])],[avatar_definition]) ).
fof(f7644,plain,
( sF6 = sF13
| ~ spl16_1026 ),
inference(avatar_component_clause,[],[f7642]) ).
fof(f9696,plain,
( ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(xB,sdtasdt0(X0,xB))
| ~ aScalar0(sdtasdt0(X0,xB))
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ aScalar0(xB) )
| ~ spl16_2 ),
inference(superposition,[],[f2237,f148]) ).
fof(f9918,plain,
( ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(xB,sdtasdt0(X0,xB))
| ~ aScalar0(sdtasdt0(X0,xB))
| ~ aScalar0(xB)
| ~ aScalar0(X0) )
| ~ spl16_2 ),
inference(duplicate_literal_removal,[],[f9696]) ).
fof(f10193,definition,
( spl16_1389
<=> ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(xB,sdtasdt0(X0,xB))
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,xB)) ) ),
introduced(definition,[new_symbols(definition,[spl16_1389])],[avatar_definition]) ).
fof(f10194,plain,
( ! [X0] :
( ~ aScalar0(sdtasdt0(X0,xB))
| ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xB,sdtasdt0(X0,xB)) )
| ~ spl16_1389 ),
inference(avatar_component_clause,[],[f10193]) ).
fof(f10195,plain,
( ~ spl16_435
| spl16_1389
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f9918,f237,f10193,f3522]) ).
fof(f18550,plain,
~ spl16_185,
inference(avatar_split_clause,[],[f232,f1760]) ).
fof(f22338,plain,
( sdtpldt0(sF4,sF7) = sdtpldt0(sF2,sdtpldt0(sF7,xP))
| ~ spl16_13
| ~ spl16_392 ),
inference(resolution,[],[f3260,f293]) ).
fof(f22345,plain,
( sF8 = sdtpldt0(sF2,sdtpldt0(sF7,xP))
| ~ spl16_13
| ~ spl16_392 ),
inference(forward_demodulation,[],[f22338,f217]) ).
fof(f22348,plain,
( sF8 = sdtpldt0(sF2,sdtpldt0(xP,sF7))
| ~ aScalar0(sF7)
| ~ aScalar0(xP)
| ~ spl16_3
| ~ spl16_13
| ~ spl16_392 ),
inference(superposition,[],[f22345,f242]) ).
fof(f22507,definition,
( spl16_3085
<=> sF8 = sdtpldt0(sF2,sdtpldt0(xP,sF7)) ),
introduced(definition,[new_symbols(definition,[spl16_3085])],[avatar_definition]) ).
fof(f22509,plain,
( sF8 = sdtpldt0(sF2,sdtpldt0(xP,sF7))
| ~ spl16_3085 ),
inference(avatar_component_clause,[],[f22507]) ).
fof(f22511,plain,
( ~ spl16_61
| ~ spl16_13
| spl16_3085
| ~ spl16_3
| ~ spl16_13
| ~ spl16_392 ),
inference(avatar_split_clause,[],[f22348,f3259,f291,f241,f22507,f291,f628]) ).
fof(f28572,plain,
( sdtpldt0(sF11,sF14) = sdtpldt0(sF9,sdtpldt0(sF14,xR))
| ~ spl16_6
| ~ spl16_592 ),
inference(resolution,[],[f4543,f262]) ).
fof(f28574,plain,
( sF15 = sdtpldt0(sF9,sdtpldt0(sF14,xR))
| ~ spl16_6
| ~ spl16_592 ),
inference(forward_demodulation,[],[f28572,f231]) ).
fof(f28576,plain,
( sF15 = sdtpldt0(sF9,sdtpldt0(xR,sF14))
| ~ aScalar0(sF14)
| ~ aScalar0(xR)
| ~ spl16_3
| ~ spl16_6
| ~ spl16_592 ),
inference(superposition,[],[f28574,f242]) ).
fof(f28762,definition,
( spl16_3892
<=> sF15 = sdtpldt0(sF9,sdtpldt0(xR,sF14)) ),
introduced(definition,[new_symbols(definition,[spl16_3892])],[avatar_definition]) ).
fof(f28764,plain,
( sF15 = sdtpldt0(sF9,sdtpldt0(xR,sF14))
| ~ spl16_3892 ),
inference(avatar_component_clause,[],[f28762]) ).
fof(f28766,plain,
( ~ spl16_127
| ~ spl16_6
| spl16_3892
| ~ spl16_3
| ~ spl16_6
| ~ spl16_592 ),
inference(avatar_split_clause,[],[f28576,f4542,f260,f241,f28762,f260,f1057]) ).
fof(f41484,plain,
spl16_449,
inference(avatar_split_clause,[],[f137,f3607]) ).
fof(f41923,plain,
( sdtasdt0(xF,xG) = sdtasdt0(xA,sdtasdt0(xA,xG))
| ~ spl16_26
| ~ spl16_454 ),
inference(resolution,[],[f3630,f369]) ).
fof(f41938,plain,
( sF13 = sdtasdt0(xA,sdtasdt0(xA,xG))
| ~ spl16_26
| ~ spl16_454 ),
inference(forward_demodulation,[],[f41923,f227]) ).
fof(f43717,plain,
spl16_435,
inference(avatar_split_clause,[],[f139,f3522]) ).
fof(f44342,definition,
( spl16_5700
<=> sF13 = sdtasdt0(xA,sdtasdt0(xH,xB)) ),
introduced(definition,[new_symbols(definition,[spl16_5700])],[avatar_definition]) ).
fof(f44344,plain,
( sF13 = sdtasdt0(xA,sdtasdt0(xH,xB))
| ~ spl16_5700 ),
inference(avatar_component_clause,[],[f44342]) ).
fof(f44716,plain,
( sdtasdt0(xH,xB) = sdtasdt0(xA,xG)
| ~ aScalar0(xB)
| ~ spl16_562 ),
inference(superposition,[],[f4380,f148]) ).
fof(f44873,definition,
( spl16_5783
<=> sdtasdt0(xH,xB) = sdtasdt0(xA,xG) ),
introduced(definition,[new_symbols(definition,[spl16_5783])],[avatar_definition]) ).
fof(f44875,plain,
( sdtasdt0(xH,xB) = sdtasdt0(xA,xG)
| ~ spl16_5783 ),
inference(avatar_component_clause,[],[f44873]) ).
fof(f44876,plain,
( ~ spl16_435
| spl16_5783
| ~ spl16_562 ),
inference(avatar_split_clause,[],[f44716,f4379,f44873,f3522]) ).
fof(f44879,plain,
( sF13 = sdtasdt0(xA,sdtasdt0(xH,xB))
| ~ spl16_26
| ~ spl16_454
| ~ spl16_5783 ),
inference(superposition,[],[f41938,f44875]) ).
fof(f45005,plain,
( spl16_5700
| ~ spl16_26
| ~ spl16_454
| ~ spl16_5783 ),
inference(avatar_split_clause,[],[f44879,f44873,f3629,f368,f44342]) ).
fof(f45054,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xA)
| sdtasdt0(xB,xH) = sdtasdt0(xA,xG)
| ~ spl16_1389 ),
inference(superposition,[],[f10194,f150]) ).
fof(f45061,plain,
( sdtasdt0(xH,xB) = sdtasdt0(xB,xH)
| ~ aScalar0(xH)
| ~ aScalar0(xA)
| ~ spl16_1389
| ~ spl16_5783 ),
inference(forward_demodulation,[],[f45054,f44875]) ).
fof(f45072,definition,
( spl16_5816
<=> sdtasdt0(xH,xB) = sdtasdt0(xB,xH) ),
introduced(definition,[new_symbols(definition,[spl16_5816])],[avatar_definition]) ).
fof(f45074,plain,
( sdtasdt0(xH,xB) = sdtasdt0(xB,xH)
| ~ spl16_5816 ),
inference(avatar_component_clause,[],[f45072]) ).
fof(f45075,plain,
( ~ spl16_449
| ~ spl16_25
| spl16_5816
| ~ spl16_1389
| ~ spl16_5783 ),
inference(avatar_split_clause,[],[f45061,f44873,f10193,f45072,f362,f3607]) ).
fof(f45677,plain,
( sdtasdt0(xH,xH) = sdtasdt0(xA,sdtasdt0(xH,xB))
| ~ aScalar0(xH)
| ~ spl16_562
| ~ spl16_5816 ),
inference(superposition,[],[f4380,f45074]) ).
fof(f45786,plain,
( sdtasdt0(xH,xH) = sF13
| ~ aScalar0(xH)
| ~ spl16_562
| ~ spl16_5700
| ~ spl16_5816 ),
inference(forward_demodulation,[],[f45677,f44344]) ).
fof(f45793,plain,
( sF6 = sF13
| ~ aScalar0(xH)
| ~ spl16_562
| ~ spl16_5700
| ~ spl16_5816 ),
inference(forward_demodulation,[],[f45786,f213]) ).
fof(f45795,plain,
( ~ spl16_25
| spl16_1026
| ~ spl16_562
| ~ spl16_5700
| ~ spl16_5816 ),
inference(avatar_split_clause,[],[f45793,f45072,f44342,f4379,f7642,f362]) ).
fof(f45806,plain,
( sF14 = sdtpldt0(xS,sF6)
| ~ spl16_1026 ),
inference(superposition,[],[f832,f7644]) ).
fof(f46247,plain,
( sdtlseqdt0(sdtpldt0(sF2,sdtpldt0(xP,sF7)),sdtpldt0(sF9,sdtpldt0(xR,sF14)))
| ~ spl16_265
| ~ spl16_1026 ),
inference(superposition,[],[f2419,f45806]) ).
fof(f46353,plain,
( sdtlseqdt0(sdtpldt0(sF2,sdtpldt0(xP,sF7)),sF15)
| ~ spl16_265
| ~ spl16_1026
| ~ spl16_3892 ),
inference(forward_demodulation,[],[f46247,f28764]) ).
fof(f46431,plain,
( sdtlseqdt0(sF8,sF15)
| ~ spl16_265
| ~ spl16_1026
| ~ spl16_3085
| ~ spl16_3892 ),
inference(forward_demodulation,[],[f46353,f22509]) ).
fof(f46448,plain,
( spl16_185
| ~ spl16_265
| ~ spl16_1026
| ~ spl16_3085
| ~ spl16_3892 ),
inference(avatar_split_clause,[],[f46431,f28762,f22507,f7642,f2417,f1760]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f239]) ).
cnf(s2,plain,
( spl16_1
| spl16_3 ),
inference(sat_conversion,[],[f243]) ).
cnf(s23,plain,
spl16_29,
inference(sat_conversion,[],[f405]) ).
cnf(s24,plain,
spl16_28,
inference(sat_conversion,[],[f406]) ).
cnf(s70,plain,
( ~ spl16_17
| ~ spl16_61
| spl16_65 ),
inference(sat_conversion,[],[f665]) ).
cnf(s147,plain,
( ~ spl16_10
| ~ spl16_127
| spl16_128 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s198,plain,
spl16_127,
inference(sat_conversion,[],[f1333]) ).
cnf(s202,plain,
spl16_90,
inference(sat_conversion,[],[f1350]) ).
cnf(s232,plain,
~ spl16_1,
inference(sat_conversion,[],[f1547]) ).
cnf(s239,plain,
spl16_25,
inference(sat_conversion,[],[f1554]) ).
cnf(s240,plain,
spl16_26,
inference(sat_conversion,[],[f1555]) ).
cnf(s241,plain,
spl16_27,
inference(sat_conversion,[],[f1556]) ).
cnf(s242,plain,
spl16_24,
inference(sat_conversion,[],[f1557]) ).
cnf(s270,plain,
( ~ spl16_11
| ~ spl16_12
| spl16_13 ),
inference(sat_conversion,[],[f1628]) ).
cnf(s276,plain,
( ~ spl16_4
| spl16_6
| ~ spl16_90 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s279,plain,
( spl16_12
| ~ spl16_24
| ~ spl16_25 ),
inference(sat_conversion,[],[f1655]) ).
cnf(s280,plain,
( spl16_11
| ~ spl16_25 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s281,plain,
( spl16_4
| ~ spl16_26
| ~ spl16_27 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s283,plain,
( spl16_17
| ~ spl16_24 ),
inference(sat_conversion,[],[f1660]) ).
cnf(s286,plain,
( spl16_10
| ~ spl16_28
| ~ spl16_29 ),
inference(sat_conversion,[],[f1665]) ).
cnf(s288,plain,
( ~ spl16_24
| ~ spl16_25
| spl16_61 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s386,plain,
( ~ spl16_11
| ~ spl16_90
| ~ spl16_127
| spl16_265 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s514,plain,
( ~ spl16_3
| ~ spl16_61
| ~ spl16_65
| spl16_392 ),
inference(sat_conversion,[],[f3262]) ).
cnf(s576,plain,
( ~ spl16_449
| spl16_454 ),
inference(sat_conversion,[],[f3631]) ).
cnf(s700,plain,
( ~ spl16_435
| ~ spl16_449
| spl16_562 ),
inference(sat_conversion,[],[f4381]) ).
cnf(s733,plain,
( ~ spl16_3
| ~ spl16_127
| ~ spl16_128
| spl16_592 ),
inference(sat_conversion,[],[f4545]) ).
cnf(s1725,plain,
( ~ spl16_2
| ~ spl16_435
| spl16_1389 ),
inference(sat_conversion,[],[f10195]) ).
cnf(s3340,plain,
~ spl16_185,
inference(sat_conversion,[],[f18550]) ).
cnf(s4155,plain,
( ~ spl16_13
| ~ spl16_3
| ~ spl16_13
| ~ spl16_61
| ~ spl16_392
| spl16_3085 ),
inference(sat_conversion,[],[f22511]) ).
cnf(s4156,plain,
( ~ spl16_3
| ~ spl16_13
| ~ spl16_61
| ~ spl16_392
| spl16_3085 ),
inference(rat,[],[s4155]) ).
cnf(s5261,plain,
( ~ spl16_6
| ~ spl16_3
| ~ spl16_6
| ~ spl16_127
| ~ spl16_592
| spl16_3892 ),
inference(sat_conversion,[],[f28766]) ).
cnf(s5262,plain,
( ~ spl16_3
| ~ spl16_6
| ~ spl16_127
| ~ spl16_592
| spl16_3892 ),
inference(rat,[],[s5261]) ).
cnf(s7795,plain,
spl16_449,
inference(sat_conversion,[],[f41484]) ).
cnf(s8208,plain,
spl16_435,
inference(sat_conversion,[],[f43717]) ).
cnf(s8432,plain,
( ~ spl16_435
| ~ spl16_562
| spl16_5783 ),
inference(sat_conversion,[],[f44876]) ).
cnf(s8455,plain,
( ~ spl16_26
| ~ spl16_454
| spl16_5700
| ~ spl16_5783 ),
inference(sat_conversion,[],[f45005]) ).
cnf(s8467,plain,
( ~ spl16_25
| ~ spl16_449
| ~ spl16_1389
| ~ spl16_5783
| spl16_5816 ),
inference(sat_conversion,[],[f45075]) ).
cnf(s8587,plain,
( ~ spl16_25
| ~ spl16_562
| spl16_1026
| ~ spl16_5700
| ~ spl16_5816 ),
inference(sat_conversion,[],[f45795]) ).
cnf(s8798,plain,
( spl16_185
| ~ spl16_265
| ~ spl16_1026
| ~ spl16_3085
| ~ spl16_3892 ),
inference(sat_conversion,[],[f46448]) ).
cnf(s8869,plain,
( ~ spl16_2
| spl16_1389 ),
inference(rat,[],[s1725,s8208]) ).
cnf(s8891,plain,
spl16_562,
inference(rat,[],[s700,s7795,s8208]) ).
cnf(s8892,plain,
spl16_5783,
inference(rat,[],[s8432,s8208,s8891]) ).
cnf(s8916,plain,
spl16_454,
inference(rat,[],[s576,s7795]) ).
cnf(s8943,plain,
spl16_17,
inference(rat,[],[s283,s242]) ).
cnf(s9009,plain,
spl16_5700,
inference(rat,[],[s8455,s8892,s8916,s240]) ).
cnf(s9042,plain,
spl16_4,
inference(rat,[],[s281,s241,s240]) ).
cnf(s9093,plain,
spl16_61,
inference(rat,[],[s288,s242,s239]) ).
cnf(s9094,plain,
spl16_11,
inference(rat,[],[s280,s239]) ).
cnf(s9095,plain,
spl16_12,
inference(rat,[],[s279,s242,s239]) ).
cnf(s9157,plain,
spl16_13,
inference(rat,[],[s270,s9094,s9095]) ).
cnf(s9225,plain,
spl16_6,
inference(rat,[],[s276,s9042,s202]) ).
cnf(s9238,plain,
spl16_265,
inference(rat,[],[s386,s202,s9094,s198]) ).
cnf(s9439,plain,
( ~ spl16_10
| spl16_128 ),
inference(rat,[],[s147,s198]) ).
cnf(s9677,plain,
spl16_65,
inference(rat,[],[s70,s9093,s8943]) ).
cnf(s10015,plain,
spl16_10,
inference(rat,[],[s286,s24,s23]) ).
cnf(s10096,plain,
spl16_128,
inference(rat,[],[s9439,s10015]) ).
cnf(s10241,plain,
spl16_3,
inference(rat,[],[s2,s232]) ).
cnf(s10411,plain,
spl16_592,
inference(rat,[],[s733,s10096,s198,s10241]) ).
cnf(s10420,plain,
spl16_392,
inference(rat,[],[s514,s9677,s9093,s10241]) ).
cnf(s10547,plain,
spl16_3892,
inference(rat,[],[s5262,s10241,s198,s9225,s10411]) ).
cnf(s10569,plain,
spl16_3085,
inference(rat,[],[s4156,s10241,s9157,s9093,s10420]) ).
cnf(s10647,plain,
~ spl16_1026,
inference(rat,[],[s8798,s10547,s9238,s3340,s10569]) ).
cnf(s10754,plain,
~ spl16_5816,
inference(rat,[],[s8587,s239,s9009,s8891,s10647]) ).
cnf(s10799,plain,
~ spl16_1389,
inference(rat,[],[s8467,s239,s8892,s7795,s10754]) ).
cnf(s10822,plain,
~ spl16_2,
inference(rat,[],[s8869,s10799]) ).
cnf(s10834,plain,
$false,
inference(rat,[],[s1,s10822,s232]) ).
fof(f46449,plain,
$false,
inference(avatar_sat_refutation,[],[s10834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG078+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.41 % Computer : n018.cluster.edu
% 0.12/10.41 % Model : x86_64 x86_64
% 0.12/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.41 % Memory : 8046.5625MB
% 0.12/10.41 % OS : Linux 6.8.0-71-generic
% 0.12/10.41 % CPULimit : 300
% 0.12/10.41 % WCLimit : 300
% 0.12/10.41 % DateTime : Sun Sep 27 23:11:35 UTC 2026
% 0.12/10.42 % CPUTime :
% 0.12/10.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.44 Running first-order theorem proving
% 0.12/10.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.53/12.77 % (2839617)Detected formulas, will run a generic FOF schedule.
% 12.53/12.77 % (2839622)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=4226672201:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.53/12.77 % (2839623)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=1396114967:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.53/12.77 % (2839626)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3647417035:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.53/12.77 % (2839624)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=187479466:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.53/12.77 % (2839625)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4210354634:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.53/12.77 % (2839627)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=311598562:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.53/12.77 % (2839628)dis-21_1_sil=8000:lcm=predicate:random_seed=4130410221: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)
% 12.53/12.77 % (2839625)Instruction limit reached!
% 12.53/12.77 % (2839625)------------------------------
% 12.53/12.77 % (2839625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/12.77 % (2839625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/12.77 % (2839625)CaDiCaL version: 2.1.3
% 12.53/12.77 % (2839625)Termination reason: Instruction limit
% 12.53/12.77 % (2839625)Termination phase: Saturation
% 12.53/12.77 % (2839625)Time elapsed: 0.053 s
% 12.53/12.77 % (2839625)Peak memory usage: 89 MB
% 12.53/12.77 % (2839625)Instructions burned: 111 (million)
% 12.53/12.77 % (2839626)Instruction limit reached!
% 12.53/12.77 % (2839626)------------------------------
% 12.53/12.77 % (2839626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/12.77 % (2839626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/12.77 % (2839626)CaDiCaL version: 2.1.3
% 12.53/12.77 % (2839626)Termination reason: Instruction limit
% 12.53/12.77 % (2839626)Termination phase: Saturation
% 12.53/12.77 % (2839626)Time elapsed: 0.063 s
% 12.53/12.77 % (2839626)Peak memory usage: 88 MB
% 12.53/12.77 % (2839626)Instructions burned: 119 (million)
% 12.53/12.77 % (2839628)Instruction limit reached!
% 12.53/12.77 % (2839628)------------------------------
% 12.53/12.77 % (2839628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/12.77 % (2839628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/12.77 % (2839628)CaDiCaL version: 2.1.3
% 12.53/12.77 % (2839628)Termination reason: Instruction limit
% 12.53/12.77 % (2839628)Termination phase: Saturation
% 12.53/12.77 % (2839628)Time elapsed: 0.058 s
% 12.53/12.77 % (2839628)Peak memory usage: 89 MB
% 12.53/12.77 % (2839628)Instructions burned: 129 (million)
% 12.53/12.77 % (2839627)Instruction limit reached!
% 12.53/12.77 % (2839627)------------------------------
% 12.53/12.77 % (2839627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/12.77 % (2839627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/12.77 % (2839627)CaDiCaL version: 2.1.3
% 12.53/12.77 % (2839627)Termination reason: Instruction limit
% 12.53/12.77 % (2839627)Termination phase: Saturation
% 12.53/12.77 % (2839627)Time elapsed: 0.089 s
% 12.53/12.77 % (2839627)Peak memory usage: 90 MB
% 12.53/12.77 % (2839627)Instructions burned: 139 (million)
% 12.53/12.77 % (2839636)lrs+10_1_sil=8000:sp=occurrence:random_seed=1643494915:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.53/12.77 % (2839637)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3391389459:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.53/12.77 % (2839638)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3320610405:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.53/12.77 % (2839639)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=1336703272:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.53/12.77 % (2839637)Instruction limit reached!
% 18.17/13.60 % (2839637)------------------------------
% 18.17/13.60 % (2839637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/13.60 % (2839637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/13.60 % (2839637)CaDiCaL version: 2.1.3
% 18.17/13.60 % (2839637)Termination reason: Instruction limit
% 18.17/13.60 % (2839637)Termination phase: Saturation
% 18.17/13.60 % (2839637)Time elapsed: 0.072 s
% 18.17/13.60 % (2839637)Peak memory usage: 92 MB
% 18.17/13.60 % (2839637)Instructions burned: 160 (million)
% 18.17/13.60 % (2839639)Instruction limit reached!
% 18.17/13.60 % (2839639)------------------------------
% 18.17/13.60 % (2839639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/13.60 % (2839639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/13.60 % (2839639)CaDiCaL version: 2.1.3
% 18.17/13.60 % (2839639)Termination reason: Instruction limit
% 18.17/13.60 % (2839639)Termination phase: Saturation
% 18.17/13.60 % (2839639)Time elapsed: 0.117 s
% 18.17/13.60 % (2839639)Peak memory usage: 96 MB
% 18.17/13.60 % (2839639)Instructions burned: 249 (million)
% 18.17/13.60 % (2839636)Instruction limit reached!
% 18.17/13.60 % (2839636)------------------------------
% 18.17/13.60 % (2839636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/13.60 % (2839636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/13.60 % (2839636)CaDiCaL version: 2.1.3
% 18.17/13.60 % (2839636)Termination reason: Instruction limit
% 18.17/13.60 % (2839636)Termination phase: Saturation
% 18.17/13.60 % (2839636)Time elapsed: 0.173 s
% 18.17/13.60 % (2839636)Peak memory usage: 93 MB
% 18.17/13.60 % (2839636)Instructions burned: 286 (million)
% 18.17/13.60 % (2839644)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1901405147:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.17/13.60 % (2839638)Instruction limit reached!
% 18.17/13.60 % (2839638)------------------------------
% 18.17/13.60 % (2839638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/13.60 % (2839638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/13.60 % (2839638)CaDiCaL version: 2.1.3
% 18.17/13.60 % (2839638)Termination reason: Instruction limit
% 18.17/13.60 % (2839638)Termination phase: Saturation
% 18.17/13.60 % (2839638)Time elapsed: 0.198 s
% 18.17/13.60 % (2839638)Peak memory usage: 93 MB
% 18.17/13.60 % (2839638)Instructions burned: 326 (million)
% 18.17/13.60 % (2839645)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1725344256:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.17/13.60 % (2839646)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=513596136:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.17/13.60 % (2839648)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1693270555:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.17/13.60 % (2839644)Instruction limit reached!
% 18.17/13.60 % (2839644)------------------------------
% 18.17/13.60 % (2839644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/13.60 % (2839644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/13.60 % (2839644)CaDiCaL version: 2.1.3
% 18.17/13.60 % (2839644)Termination reason: Instruction limit
% 18.17/13.60 % (2839644)Termination phase: Saturation
% 18.17/13.60 % (2839644)Time elapsed: 0.157 s
% 18.17/13.60 % (2839644)Peak memory usage: 90 MB
% 18.17/13.60 % (2839644)Instructions burned: 295 (million)
% 18.17/13.60 % (2839646)Instruction limit reached!
% 18.17/13.60 % (2839646)------------------------------
% 18.17/13.60 % (2839646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/13.60 % (2839646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/13.60 % (2839646)CaDiCaL version: 2.1.3
% 18.17/13.60 % (2839646)Termination reason: Instruction limit
% 18.17/13.60 % (2839646)Termination phase: Saturation
% 18.17/13.60 % (2839646)Time elapsed: 0.074 s
% 18.17/13.60 % (2839646)Peak memory usage: 91 MB
% 18.17/13.60 % (2839646)Instructions burned: 114 (million)
% 18.17/13.60 % (2839648)Instruction limit reached!
% 18.17/13.60 % (2839648)------------------------------
% 18.17/13.60 % (2839648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/13.60 % (2839648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/13.60 % (2839648)CaDiCaL version: 2.1.3
% 18.17/13.60 % (2839648)Termination reason: Instruction limit
% 18.17/13.60 % (2839648)Termination phase: Saturation
% 56.24/18.87 % (2839648)Time elapsed: 0.065 s
% 56.24/18.87 % (2839648)Peak memory usage: 89 MB
% 56.24/18.87 % (2839648)Instructions burned: 127 (million)
% 56.24/18.87 % (2839652)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1558921707:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 56.24/18.87 % (2839654)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3286053351:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 56.24/18.87 % (2839653)lrs+10_1_sil=8000:sp=occurrence:random_seed=1177145057:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 56.24/18.87 % (2839652)Instruction limit reached!
% 56.24/18.87 % (2839652)------------------------------
% 56.24/18.87 % (2839652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.24/18.87 % (2839652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.24/18.87 % (2839652)CaDiCaL version: 2.1.3
% 56.24/18.87 % (2839652)Termination reason: Instruction limit
% 56.24/18.87 % (2839652)Termination phase: Saturation
% 56.24/18.87 % (2839652)Time elapsed: 0.062 s
% 56.24/18.87 % (2839652)Peak memory usage: 89 MB
% 56.24/18.87 % (2839652)Instructions burned: 115 (million)
% 56.24/18.87 % (2839658)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2629688912:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 56.24/18.87 % (2839654)Instruction limit reached!
% 56.24/18.87 % (2839654)------------------------------
% 56.24/18.87 % (2839654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.24/18.87 % (2839654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.24/18.87 % (2839654)CaDiCaL version: 2.1.3
% 56.24/18.87 % (2839654)Termination reason: Instruction limit
% 56.24/18.87 % (2839654)Termination phase: Saturation
% 56.24/18.87 % (2839654)Time elapsed: 0.246 s
% 56.24/18.87 % (2839654)Peak memory usage: 94 MB
% 56.24/18.87 % (2839654)Instructions burned: 437 (million)
% 56.24/18.87 % (2839660)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1802753570:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 56.24/18.87 % (2839660)Instruction limit reached!
% 56.24/18.87 % (2839660)------------------------------
% 56.24/18.87 % (2839660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.24/18.87 % (2839660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.24/18.87 % (2839660)CaDiCaL version: 2.1.3
% 56.24/18.87 % (2839660)Termination reason: Instruction limit
% 56.24/18.87 % (2839660)Termination phase: Saturation
% 56.24/18.87 % (2839660)Time elapsed: 0.059 s
% 56.24/18.87 % (2839660)Peak memory usage: 91 MB
% 56.24/18.87 % (2839660)Instructions burned: 136 (million)
% 56.24/18.87 % (2839653)Instruction limit reached!
% 56.24/18.87 % (2839653)------------------------------
% 56.24/18.87 % (2839653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.24/18.87 % (2839653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.24/18.87 % (2839653)CaDiCaL version: 2.1.3
% 56.24/18.87 % (2839653)Termination reason: Instruction limit
% 56.24/18.87 % (2839653)Termination phase: Saturation
% 56.24/18.87 % (2839653)Time elapsed: 0.502 s
% 56.24/18.87 % (2839653)Peak memory usage: 104 MB
% 56.24/18.87 % (2839653)Instructions burned: 907 (million)
% 56.24/18.87 % (2839662)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2557536389:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 56.24/18.87 % (2839663)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=61719402:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 56.24/18.87 % (2839662)Instruction limit reached!
% 56.24/18.87 % (2839662)------------------------------
% 56.24/18.87 % (2839662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.24/18.87 % (2839662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.24/18.87 % (2839662)CaDiCaL version: 2.1.3
% 56.24/18.87 % (2839662)Termination reason: Instruction limit
% 56.24/18.87 % (2839662)Termination phase: Saturation
% 56.24/18.87 % (2839662)Time elapsed: 0.292 s
% 56.24/18.87 % (2839662)Peak memory usage: 92 MB
% 56.24/18.87 % (2839662)Instructions burned: 593 (million)
% 56.24/18.87 % (2839666)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=3126275931:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 76.84/21.87 % (2839666)Instruction limit reached!
% 76.84/21.87 % (2839666)------------------------------
% 76.84/21.87 % (2839666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/21.87 % (2839666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/21.87 % (2839666)CaDiCaL version: 2.1.3
% 76.84/21.87 % (2839666)Termination reason: Instruction limit
% 76.84/21.87 % (2839666)Termination phase: Saturation
% 76.84/21.87 % (2839666)Time elapsed: 0.066 s
% 76.84/21.87 % (2839666)Peak memory usage: 91 MB
% 76.84/21.87 % (2839666)Instructions burned: 125 (million)
% 76.84/21.87 % (2839645)Instruction limit reached!
% 76.84/21.87 % (2839645)------------------------------
% 76.84/21.87 % (2839645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/21.87 % (2839645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/21.87 % (2839645)CaDiCaL version: 2.1.3
% 76.84/21.87 % (2839645)Termination reason: Instruction limit
% 76.84/21.87 % (2839645)Termination phase: Saturation
% 76.84/21.87 % (2839645)Time elapsed: 1.423 s
% 76.84/21.87 % (2839645)Peak memory usage: 144 MB
% 76.84/21.87 % (2839645)Instructions burned: 2351 (million)
% 76.84/21.87 % (2839668)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=278995297:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 76.84/21.87 % (2839669)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3410707343:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 76.84/21.87 % (2839668)Instruction limit reached!
% 76.84/21.87 % (2839668)------------------------------
% 76.84/21.87 % (2839668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/21.87 % (2839668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/21.87 % (2839668)CaDiCaL version: 2.1.3
% 76.84/21.87 % (2839668)Termination reason: Instruction limit
% 76.84/21.87 % (2839668)Termination phase: Saturation
% 76.84/21.87 % (2839668)Time elapsed: 0.076 s
% 76.84/21.87 % (2839668)Peak memory usage: 91 MB
% 76.84/21.87 % (2839668)Instructions burned: 135 (million)
% 76.84/21.87 % (2839669)Instruction limit reached!
% 76.84/21.87 % (2839669)------------------------------
% 76.84/21.87 % (2839669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/21.87 % (2839669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/21.87 % (2839669)CaDiCaL version: 2.1.3
% 76.84/21.87 % (2839669)Termination reason: Instruction limit
% 76.84/21.87 % (2839669)Termination phase: Saturation
% 76.84/21.87 % (2839669)Time elapsed: 0.072 s
% 76.84/21.87 % (2839669)Peak memory usage: 91 MB
% 76.84/21.87 % (2839669)Instructions burned: 141 (million)
% 76.84/21.87 % (2839672)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2764702449:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 76.84/21.87 % (2839673)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=672788035:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 76.84/21.87 % (2839672)Instruction limit reached!
% 76.84/21.87 % (2839672)------------------------------
% 76.84/21.87 % (2839672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/21.87 % (2839672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/21.87 % (2839672)CaDiCaL version: 2.1.3
% 76.84/21.87 % (2839672)Termination reason: Instruction limit
% 76.84/21.87 % (2839672)Termination phase: Saturation
% 76.84/21.87 % (2839672)Time elapsed: 0.228 s
% 76.84/21.87 % (2839672)Peak memory usage: 95 MB
% 76.84/21.87 % (2839672)Instructions burned: 432 (million)
% 76.84/21.87 % (2839676)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2868329496:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 76.84/21.87 % (2839676)Instruction limit reached!
% 76.84/21.87 % (2839676)------------------------------
% 76.84/21.87 % (2839676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/21.87 % (2839676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/21.87 % (2839676)CaDiCaL version: 2.1.3
% 76.84/21.87 % (2839676)Termination reason: Instruction limit
% 76.84/21.87 % (2839676)Termination phase: Saturation
% 76.84/21.87 % (2839676)Time elapsed: 0.079 s
% 76.84/21.87 % (2839676)Peak memory usage: 92 MB
% 111.61/26.63 % (2839676)Instructions burned: 152 (million)
% 111.61/26.63 % (2839678)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=91864673:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 111.61/26.63 % (2839658)Instruction limit reached!
% 111.61/26.63 % (2839658)------------------------------
% 111.61/26.63 % (2839658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.61/26.63 % (2839658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.61/26.63 % (2839658)CaDiCaL version: 2.1.3
% 111.61/26.63 % (2839658)Termination reason: Instruction limit
% 111.61/26.63 % (2839658)Termination phase: Saturation
% 111.61/26.63 % (2839658)Time elapsed: 3.360 s
% 111.61/26.63 % (2839658)Peak memory usage: 167 MB
% 111.61/26.63 % (2839658)Instructions burned: 5202 (million)
% 111.61/26.63 % (2839680)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2669324246:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 111.61/26.63 % (2839680)Instruction limit reached!
% 111.61/26.63 % (2839680)------------------------------
% 111.61/26.63 % (2839680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.61/26.63 % (2839680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.61/26.63 % (2839680)CaDiCaL version: 2.1.3
% 111.61/26.63 % (2839680)Termination reason: Instruction limit
% 111.61/26.63 % (2839680)Termination phase: Saturation
% 111.61/26.63 % (2839680)Time elapsed: 0.249 s
% 111.61/26.63 % (2839680)Peak memory usage: 92 MB
% 111.61/26.63 % (2839680)Instructions burned: 670 (million)
% 111.61/26.63 % (2839682)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1980771594:s2a=on:i=185:s2at=1.8:fdi=4_2952 on theBenchmark for (2952ds/185Mi)
% 111.61/26.63 % (2839682)Instruction limit reached!
% 111.61/26.63 % (2839682)------------------------------
% 111.61/26.63 % (2839682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.61/26.63 % (2839682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.61/26.63 % (2839682)CaDiCaL version: 2.1.3
% 111.61/26.63 % (2839682)Termination reason: Instruction limit
% 111.61/26.63 % (2839682)Termination phase: Saturation
% 111.61/26.63 % (2839682)Time elapsed: 0.096 s
% 111.61/26.63 % (2839682)Peak memory usage: 92 MB
% 111.61/26.63 % (2839682)Instructions burned: 186 (million)
% 111.61/26.63 % (2839684)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3135855512:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2949 on theBenchmark for (2949ds/193Mi)
% 111.61/26.63 % (2839684)Instruction limit reached!
% 111.61/26.63 % (2839684)------------------------------
% 111.61/26.63 % (2839684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.61/26.63 % (2839684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.61/26.63 % (2839684)CaDiCaL version: 2.1.3
% 111.61/26.63 % (2839684)Termination reason: Instruction limit
% 111.61/26.63 % (2839684)Termination phase: Saturation
% 111.61/26.63 % (2839684)Time elapsed: 0.106 s
% 111.61/26.63 % (2839684)Peak memory usage: 90 MB
% 111.61/26.63 % (2839684)Instructions burned: 195 (million)
% 111.61/26.63 % (2839686)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4102241416:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2947 on theBenchmark for (2947ds/4850Mi)
% 111.61/26.63 % (2839673)Instruction limit reached!
% 111.61/26.63 % (2839673)------------------------------
% 111.61/26.63 % (2839673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.61/26.63 % (2839673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.61/26.63 % (2839673)CaDiCaL version: 2.1.3
% 111.61/26.63 % (2839673)Termination reason: Instruction limit
% 111.61/26.63 % (2839673)Termination phase: Saturation
% 111.61/26.63 % (2839673)Time elapsed: 3.729 s
% 111.61/26.63 % (2839673)Peak memory usage: 166 MB
% 111.61/26.63 % (2839673)Instructions burned: 6060 (million)
% 111.61/26.63 % (2839688)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4045379418:i=12111:sd=1:ss=included_2939 on theBenchmark for (2939ds/12111Mi)
% 111.61/26.63 % (2839686)Instruction limit reached!
% 111.61/26.63 % (2839686)------------------------------
% 111.61/26.63 % (2839686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.61/26.63 % (2839686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.61/26.63 % (2839686)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839686)Termination reason: Instruction limit
% 60.47/28.09 % (2839686)Termination phase: Saturation
% 60.47/28.09 % (2839686)Time elapsed: 2.615 s
% 60.47/28.09 % (2839686)Peak memory usage: 102 MB
% 60.47/28.09 % (2839686)Instructions burned: 4851 (million)
% 60.47/28.09 % (2839690)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4193174447:i=319:kws=precedence:fsr=off_2920 on theBenchmark for (2920ds/319Mi)
% 60.47/28.09 % (2839690)Instruction limit reached!
% 60.47/28.09 % (2839690)------------------------------
% 60.47/28.09 % (2839690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839690)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839690)Termination reason: Instruction limit
% 60.47/28.09 % (2839690)Termination phase: Saturation
% 60.47/28.09 % (2839690)Time elapsed: 0.174 s
% 60.47/28.09 % (2839690)Peak memory usage: 94 MB
% 60.47/28.09 % (2839690)Instructions burned: 320 (million)
% 60.47/28.09 % (2839692)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1761748540:i=2064:ep=RST_2916 on theBenchmark for (2916ds/2064Mi)
% 60.47/28.09 % (2839663)Instruction limit reached!
% 60.47/28.09 % (2839663)------------------------------
% 60.47/28.09 % (2839663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839663)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839663)Termination reason: Instruction limit
% 60.47/28.09 % (2839663)Termination phase: Saturation
% 60.47/28.09 % (2839663)Time elapsed: 7.398 s
% 60.47/28.09 % (2839663)Peak memory usage: 257 MB
% 60.47/28.09 % (2839663)Instructions burned: 13194 (million)
% 60.47/28.09 % (2839694)dis-1011_128_sil=32000:random_seed=2574373966:i=3706:ep=RST:av=off_2910 on theBenchmark for (2910ds/3706Mi)
% 60.47/28.09 % (2839692)Instruction limit reached!
% 60.47/28.09 % (2839692)------------------------------
% 60.47/28.09 % (2839692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839692)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839692)Termination reason: Instruction limit
% 60.47/28.09 % (2839692)Termination phase: Saturation
% 60.47/28.09 % (2839692)Time elapsed: 1.007 s
% 60.47/28.09 % (2839692)Peak memory usage: 111 MB
% 60.47/28.09 % (2839692)Instructions burned: 2065 (million)
% 60.47/28.09 % (2839696)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2104006452:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2905 on theBenchmark for (2905ds/757Mi)
% 60.47/28.09 % (2839696)Instruction limit reached!
% 60.47/28.09 % (2839696)------------------------------
% 60.47/28.09 % (2839696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839696)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839696)Termination reason: Instruction limit
% 60.47/28.09 % (2839696)Termination phase: Saturation
% 60.47/28.09 % (2839696)Time elapsed: 0.543 s
% 60.47/28.09 % (2839696)Peak memory usage: 95 MB
% 60.47/28.09 % (2839696)Instructions burned: 758 (million)
% 60.47/28.09 % (2839678)Instruction limit reached!
% 60.47/28.09 % (2839678)------------------------------
% 60.47/28.09 % (2839678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839678)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839678)Termination reason: Instruction limit
% 60.47/28.09 % (2839678)Termination phase: Saturation
% 60.47/28.09 % (2839678)Time elapsed: 7.347 s
% 60.47/28.09 % (2839678)Peak memory usage: 267 MB
% 60.47/28.09 % (2839678)Instructions burned: 14157 (million)
% 60.47/28.09 % (2839698)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3142274507:i=13913:ss=axioms:sgt=8_2898 on theBenchmark for (2898ds/13913Mi)
% 60.47/28.09 % (2839699)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3751644595:i=9925:aac=none_2897 on theBenchmark for (2897ds/9925Mi)
% 60.47/28.09 % (2839694)Instruction limit reached!
% 60.47/28.09 % (2839694)------------------------------
% 60.47/28.09 % (2839694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839694)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839694)Termination reason: Instruction limit
% 60.47/28.09 % (2839694)Termination phase: Saturation
% 60.47/28.09 % (2839694)Time elapsed: 1.946 s
% 60.47/28.09 % (2839694)Peak memory usage: 98 MB
% 60.47/28.09 % (2839694)Instructions burned: 3706 (million)
% 60.47/28.09 % (2839702)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3491505614:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2890 on theBenchmark for (2890ds/2479Mi)
% 60.47/28.09 % (2839702)Instruction limit reached!
% 60.47/28.09 % (2839702)------------------------------
% 60.47/28.09 % (2839702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839702)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839702)Termination reason: Instruction limit
% 60.47/28.09 % (2839702)Termination phase: Saturation
% 60.47/28.09 % (2839702)Time elapsed: 1.396 s
% 60.47/28.09 % (2839702)Peak memory usage: 108 MB
% 60.47/28.09 % (2839702)Instructions burned: 2479 (million)
% 60.47/28.09 % (2839704)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2312696526:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2874 on theBenchmark for (2874ds/440Mi)
% 60.47/28.09 % (2839688)Instruction limit reached!
% 60.47/28.09 % (2839688)------------------------------
% 60.47/28.09 % (2839688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839688)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839688)Termination reason: Instruction limit
% 60.47/28.09 % (2839688)Termination phase: Saturation
% 60.47/28.09 % (2839688)Time elapsed: 6.470 s
% 60.47/28.09 % (2839688)Peak memory usage: 319 MB
% 60.47/28.09 % (2839688)Instructions burned: 12112 (million)
% 60.47/28.09 % (2839706)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=438779166:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2872 on theBenchmark for (2872ds/11145Mi)
% 60.47/28.09 % (2839704)Instruction limit reached!
% 60.47/28.09 % (2839704)------------------------------
% 60.47/28.09 % (2839704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839704)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839704)Termination reason: Instruction limit
% 60.47/28.09 % (2839704)Termination phase: Saturation
% 60.47/28.09 % (2839704)Time elapsed: 0.236 s
% 60.47/28.09 % (2839704)Peak memory usage: 92 MB
% 60.47/28.09 % (2839704)Instructions burned: 442 (million)
% 60.47/28.09 % (2839708)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2571804327:cts=off:i=3034:av=off:er=known:fsd=on_2870 on theBenchmark for (2870ds/3034Mi)
% 60.47/28.09 % (2839708)Instruction limit reached!
% 60.47/28.09 % (2839708)------------------------------
% 60.47/28.09 % (2839708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839708)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839708)Termination reason: Instruction limit
% 60.47/28.09 % (2839708)Termination phase: Saturation
% 60.47/28.09 % (2839708)Time elapsed: 1.651 s
% 60.47/28.09 % (2839708)Peak memory usage: 152 MB
% 60.47/28.09 % (2839708)Instructions burned: 3035 (million)
% 60.47/28.09 % (2839710)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1860362563:st=2:s2a=on:i=524:s2at=2:ss=axioms_2853 on theBenchmark for (2853ds/524Mi)
% 60.47/28.09 % (2839710)Instruction limit reached!
% 60.47/28.09 % (2839710)------------------------------
% 60.47/28.09 % (2839710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839710)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839710)Termination reason: Instruction limit
% 60.47/28.09 % (2839710)Termination phase: Saturation
% 60.47/28.09 % (2839710)Time elapsed: 0.238 s
% 60.47/28.09 % (2839710)Peak memory usage: 100 MB
% 60.47/28.09 % (2839710)Instructions burned: 526 (million)
% 60.47/28.09 % (2839712)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1755261998:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2849 on theBenchmark for (2849ds/1016Mi)
% 60.47/28.09 % (2839712)Instruction limit reached!
% 60.47/28.09 % (2839712)------------------------------
% 60.47/28.09 % (2839712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839712)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839712)Termination reason: Instruction limit
% 60.47/28.09 % (2839712)Termination phase: Saturation
% 60.47/28.09 % (2839712)Time elapsed: 0.546 s
% 60.47/28.09 % (2839712)Peak memory usage: 134 MB
% 60.47/28.09 % (2839712)Instructions burned: 1018 (million)
% 60.47/28.09 % (2839714)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2386596861:i=14123:bd=preordered:ins=4_2842 on theBenchmark for (2842ds/14123Mi)
% 60.47/28.09 % (2839699)Instruction limit reached!
% 60.47/28.09 % (2839699)------------------------------
% 60.47/28.09 % (2839699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.47/28.09 % (2839699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.47/28.09 % (2839699)CaDiCaL version: 2.1.3
% 60.47/28.09 % (2839699)Termination reason: Instruction limit
% 60.47/28.09 % (2839699)Termination phase: Saturation
% 60.47/28.09 % (2839699)Time elapsed: 5.862 s
% 60.47/28.09 % (2839699)Peak memory usage: 211 MB
% 60.47/28.09 % (2839699)Instructions burned: 9927 (million)
% 60.47/28.09 % (2839716)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2828205061:i=5781:kws=precedence:bd=all:rawr=on_2837 on theBenchmark for (2837ds/5781Mi)
% 60.47/28.09 % (2839706)First to succeed.
% 60.47/28.09 % (2839706)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2839617"
% 60.47/28.09 % (2839706)Refutation found. Thanks to Tanya!
% 60.47/28.09 % SZS status Theorem for theBenchmark
% 60.47/28.09 % SZS output start Proof for theBenchmark
% See solution above
% 122.18/28.28 % (2839706)------------------------------
% 122.18/28.28 % (2839706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.18/28.28 % (2839706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.18/28.28 % (2839706)CaDiCaL version: 2.1.3
% 122.18/28.28 % (2839706)Termination reason: Refutation
% 122.18/28.28 % (2839706)Time elapsed: 4.058 s
% 122.18/28.28 % (2839706)Peak memory usage: 186 MB
% 122.18/28.28 % (2839706)Instructions burned: 6879 (million)
% 122.18/28.28 % (2839706)------------------------------
% 122.18/28.28 % (2839706)------------------------------
% 122.18/28.28 % (2839617)Success in time 17.207 s
% 122.18/28.28 % Vampire exiting
%------------------------------------------------------------------------------