%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM463+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:24:24 PM UTC 2026
% Result : Theorem 2.77s 0.92s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 114 ( 27 unt; 7 def)
% Number of atoms : 337 ( 123 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 380 ( 157 ~; 162 |; 42 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 66 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).
fof(f28,conjecture,
( xm != sz00
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = sdtasdt0(xn,xm) )
| sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f29,negated_conjecture,
~ ( xm != sz00
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = sdtasdt0(xn,xm) )
| sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f39,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f44,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f45,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f58]) ).
fof(f65,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f66,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f72,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) != sdtasdt0(xn,xm) )
& ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& xm != sz00 ),
inference(ennf_transformation,[],[f29]) ).
fof(f74,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) != sdtasdt0(xn,xm) )
& ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& xm != sz00 ),
inference(flattening,[],[f73]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f59]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f92,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f109,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f114,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| X0 != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f121,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f123,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f125,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f27]) ).
fof(f126,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f127,plain,
sz00 != xm,
inference(cnf_transformation,[],[f74]) ).
fof(f128,plain,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f74]) ).
fof(f129,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) != sdtasdt0(xn,xm) ),
inference(cnf_transformation,[],[f74]) ).
fof(f131,plain,
! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f109]) ).
fof(f134,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f114]) ).
fof(f136,definition,
! [X0] : sF1(X0) = sdtpldt0(xn,X0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f137,plain,
! [X0] : sdtpldt0(xn,X0) = sF1(X0),
inference(reorient_equations,[],[f136]) ).
fof(f138,definition,
sF2 = sdtasdt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f139,plain,
sdtasdt0(xn,xm) = sF2,
inference(reorient_equations,[],[f138]) ).
fof(f140,plain,
! [X0] :
( sF1(X0) != sF2
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f129,f139,f137]) ).
fof(f141,plain,
~ sdtlseqdt0(xn,sF2),
inference(definition_folding,[],[f128,f139]) ).
fof(f142,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f134]) ).
fof(f148,plain,
sz10 = sdtpldt0(sz10,sz00),
inference(resolution,[],[f88,f82]) ).
fof(f150,plain,
xn = sdtpldt0(xn,sz00),
inference(resolution,[],[f88,f125]) ).
fof(f151,plain,
xn = sF1(sz00),
inference(forward_demodulation,[],[f150,f137]) ).
fof(f152,plain,
( xn != sF2
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f140,f151]) ).
fof(f153,plain,
xn != sF2,
inference(forward_subsumption_resolution,[],[f152,f80]) ).
fof(f161,plain,
xn = sdtasdt0(xn,sz10),
inference(resolution,[],[f92,f125]) ).
fof(f164,plain,
sz00 = sdtasdt0(sz00,xm),
inference(resolution,[],[f93,f126]) ).
fof(f256,definition,
( spl3_1
<=> sz00 = xn ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f257,plain,
( sz00 != xn
| spl3_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( sz00 = xn
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f375,definition,
( spl3_4
<=> sz00 = sF2 ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f376,plain,
( sz00 = sF2
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( sz00 != sF2
| spl3_4 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f810,plain,
( sF2 = sdtasdt0(sz00,xm)
| ~ spl3_1 ),
inference(superposition,[],[f139,f258]) ).
fof(f823,plain,
( sz00 = sF2
| ~ spl3_1 ),
inference(forward_demodulation,[],[f810,f164]) ).
fof(f824,plain,
( $false
| ~ spl3_1
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f823,f377]) ).
fof(f825,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f1040,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),sF2)
| sz00 = xn
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f121,f139]) ).
fof(f1205,plain,
( ~ sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[],[f131,f148]) ).
fof(f1206,plain,
( ~ sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(duplicate_literal_removal,[],[f1205]) ).
fof(f1208,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(forward_subsumption_resolution,[],[f1206,f142]) ).
fof(f1220,plain,
( sz00 = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(forward_subsumption_resolution,[],[f1208,f80]) ).
fof(f1232,plain,
sz00 = sdtmndt0(sz10,sz10),
inference(forward_subsumption_resolution,[],[f1220,f82]) ).
fof(f2632,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),sF2)
| sz00 = xn
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1040,f125]) ).
fof(f2665,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),sF2)
| sz00 = xn
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2632,f126]) ).
fof(f2761,plain,
( xn != sdtmndt0(sz10,sz10)
| spl3_1 ),
inference(forward_demodulation,[],[f257,f1232]) ).
fof(f2858,plain,
! [X0] :
( xn = sdtmndt0(sz10,sz10)
| sdtlseqdt0(sdtasdt0(xn,X0),sF2)
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f2665,f1232]) ).
fof(f2877,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),sF2)
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) )
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f2858,f2761]) ).
fof(f3586,plain,
( sdtlseqdt0(xn,sF2)
| sz10 = xm
| ~ sdtlseqdt0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| spl3_1 ),
inference(superposition,[],[f2877,f161]) ).
fof(f3587,plain,
( sz10 = xm
| ~ sdtlseqdt0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f3586,f141]) ).
fof(f3594,plain,
( sz10 = xm
| ~ sdtlseqdt0(sz10,xm)
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f3587,f82]) ).
fof(f3597,definition,
( spl3_23
<=> sdtlseqdt0(sz10,xm) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f3599,plain,
( ~ sdtlseqdt0(sz10,xm)
| spl3_23 ),
inference(avatar_component_clause,[],[f3597]) ).
fof(f3601,definition,
( spl3_24
<=> sz10 = xm ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
fof(f3603,plain,
( sz10 = xm
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f3601]) ).
fof(f3604,plain,
( ~ spl3_23
| spl3_24
| spl3_1 ),
inference(avatar_split_clause,[],[f3594,f256,f3601,f3597]) ).
fof(f3605,plain,
( sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| spl3_23 ),
inference(resolution,[],[f3599,f123]) ).
fof(f3610,plain,
( sz10 = xm
| ~ aNaturalNumber0(xm)
| spl3_23 ),
inference(forward_subsumption_resolution,[],[f3605,f127]) ).
fof(f3613,plain,
( sz10 = xm
| spl3_23 ),
inference(forward_subsumption_resolution,[],[f3610,f126]) ).
fof(f3614,plain,
( spl3_24
| spl3_23 ),
inference(avatar_split_clause,[],[f3613,f3597,f3601]) ).
fof(f3615,plain,
( xn = sdtmndt0(sz10,sz10)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f258,f1232]) ).
fof(f3617,plain,
( sF2 = sdtmndt0(sz10,sz10)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f376,f1232]) ).
fof(f3636,definition,
( spl3_26
<=> xn = sdtmndt0(sz10,sz10) ),
introduced(definition,[new_symbols(definition,[spl3_26])],[avatar_definition]) ).
fof(f3638,plain,
( xn = sdtmndt0(sz10,sz10)
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f3636]) ).
fof(f3705,plain,
( spl3_26
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f3615,f256,f3636]) ).
fof(f3789,plain,
( xn != sdtmndt0(sz10,sz10)
| ~ spl3_4 ),
inference(superposition,[],[f153,f3617]) ).
fof(f3801,plain,
( $false
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_subsumption_resolution,[],[f3789,f3638]) ).
fof(f3802,plain,
( ~ spl3_4
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3801]) ).
fof(f4053,plain,
( sF2 = sdtasdt0(xn,sz10)
| ~ spl3_24 ),
inference(superposition,[],[f139,f3603]) ).
fof(f4071,plain,
( xn = sF2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4053,f161]) ).
fof(f4072,plain,
( $false
| ~ spl3_24 ),
inference(forward_subsumption_resolution,[],[f4071,f153]) ).
fof(f4073,plain,
~ spl3_24,
inference(avatar_contradiction_clause,[],[f4072]) ).
cnf(s7,plain,
( ~ spl3_1
| spl3_4 ),
inference(sat_conversion,[],[f825]) ).
cnf(s32,plain,
( spl3_1
| ~ spl3_23
| spl3_24 ),
inference(sat_conversion,[],[f3604]) ).
cnf(s33,plain,
( spl3_23
| spl3_24 ),
inference(sat_conversion,[],[f3614]) ).
cnf(s51,plain,
( ~ spl3_1
| spl3_26 ),
inference(sat_conversion,[],[f3705]) ).
cnf(s66,plain,
( ~ spl3_4
| ~ spl3_26 ),
inference(sat_conversion,[],[f3802]) ).
cnf(s80,plain,
~ spl3_24,
inference(sat_conversion,[],[f4073]) ).
cnf(s81,plain,
spl3_23,
inference(rat,[],[s33,s80]) ).
cnf(s82,plain,
spl3_1,
inference(rat,[],[s32,s80,s81]) ).
cnf(s83,plain,
spl3_26,
inference(rat,[],[s51,s82]) ).
cnf(s85,plain,
~ spl3_4,
inference(rat,[],[s66,s83]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s7,s85,s82]) ).
fof(f4074,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM463+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:06:08 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.77/0.92 % (2959596)Will run a generic schedule for satisfiability detection.
% 2.77/0.92 % (2959601)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=697489354_2999 on theBenchmark for (2999ds/0Mi)
% 2.77/0.92 % TRYING [1]
% 2.77/0.92 % TRYING [2]
% 2.77/0.92 % TRYING [3]
% 2.77/0.92 % (2959602)% WARNING: option uhcvi not known.
% 2.77/0.92 % TRYING [4]
% 2.77/0.92 % (2959603)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3999121673:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.77/0.92 % (2959606)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2450487594:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.77/0.92 % (2959604)dis+10_1_sil=32000:sp=arity:random_seed=678687314:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.77/0.92 % (2959605)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3921871363:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.77/0.92 % (2959607)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1106548653:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.77/0.92 % (2959602)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=692967244:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.77/0.92 % TRYING [5]
% 2.77/0.92 % TRYING [6]
% 2.77/0.92 % (2959604)Instruction limit reached!
% 2.77/0.92 % (2959604)------------------------------
% 2.77/0.92 % (2959604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959604)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959604)Termination reason: Instruction limit
% 2.77/0.92 % (2959604)Termination phase: Saturation
% 2.77/0.92 % (2959604)Time elapsed: 0.061 s
% 2.77/0.92 % (2959604)Peak memory usage: 12 MB
% 2.77/0.92 % (2959604)Instructions burned: 104 (million)
% 2.77/0.92 % (2959605)Instruction limit reached!
% 2.77/0.92 % (2959605)------------------------------
% 2.77/0.92 % (2959605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959605)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959605)Termination reason: Instruction limit
% 2.77/0.92 % (2959605)Termination phase: Saturation
% 2.77/0.92 % (2959605)Time elapsed: 0.070 s
% 2.77/0.92 % (2959605)Peak memory usage: 13 MB
% 2.77/0.92 % (2959605)Instructions burned: 116 (million)
% 2.77/0.92 % (2959606)Instruction limit reached!
% 2.77/0.92 % (2959606)------------------------------
% 2.77/0.92 % (2959606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959606)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959606)Termination reason: Instruction limit
% 2.77/0.92 % (2959606)Termination phase: Saturation
% 2.77/0.92 % (2959606)Time elapsed: 0.080 s
% 2.77/0.92 % (2959606)Peak memory usage: 13 MB
% 2.77/0.92 % (2959606)Instructions burned: 132 (million)
% 2.77/0.92 % (2959615)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=885891067:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.77/0.92 % TRYING [1]
% 2.77/0.92 % TRYING [2]
% 2.77/0.92 % TRYING [3]
% 2.77/0.92 % (2959616)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2342243771:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.77/0.92 % (2959607)Instruction limit reached!
% 2.77/0.92 % (2959607)------------------------------
% 2.77/0.92 % (2959607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959607)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959607)Termination reason: Instruction limit
% 2.77/0.92 % (2959607)Termination phase: Saturation
% 2.77/0.92 % (2959607)Time elapsed: 0.089 s
% 2.77/0.92 % (2959607)Peak memory usage: 14 MB
% 2.77/0.92 % (2959607)Instructions burned: 159 (million)
% 2.77/0.92 % TRYING [4]
% 2.77/0.92 % (2959617)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3658089757:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.77/0.92 % (2959620)ott-21_1_sil=16000:fs=off:random_seed=1962468907:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.77/0.92 % TRYING [5]
% 2.77/0.92 % TRYING [7]
% 2.77/0.92 % (2959616)Instruction limit reached!
% 2.77/0.92 % (2959616)------------------------------
% 2.77/0.92 % (2959616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959616)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959616)Termination reason: Instruction limit
% 2.77/0.92 % (2959616)Termination phase: Saturation
% 2.77/0.92 % (2959616)Time elapsed: 0.065 s
% 2.77/0.92 % (2959616)Peak memory usage: 12 MB
% 2.77/0.92 % (2959616)Instructions burned: 133 (million)
% 2.77/0.92 % (2959623)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4066707534:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.77/0.92 % TRYING [6]
% 2.77/0.92 % (2959620)Instruction limit reached!
% 2.77/0.92 % (2959620)------------------------------
% 2.77/0.92 % (2959620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959620)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959620)Termination reason: Instruction limit
% 2.77/0.92 % (2959620)Termination phase: Saturation
% 2.77/0.92 % (2959620)Time elapsed: 0.093 s
% 2.77/0.92 % (2959620)Peak memory usage: 13 MB
% 2.77/0.92 % (2959620)Instructions burned: 180 (million)
% 2.77/0.92 % (2959625)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=746482541:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.77/0.92 % TRYING [1]
% 2.77/0.92 % TRYING [2]
% 2.77/0.92 % TRYING [3]
% 2.77/0.92 % TRYING [4]
% 2.77/0.92 % TRYING [5]
% 2.77/0.92 % TRYING [8]
% 2.77/0.92 % (2959615)Instruction limit reached!
% 2.77/0.92 % (2959615)------------------------------
% 2.77/0.92 % (2959615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959615)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959615)Termination reason: Instruction limit
% 2.77/0.92 % (2959615)Termination phase: Finite model building SAT solving
% 2.77/0.92 % (2959615)Time elapsed: 0.279 s
% 2.77/0.92 % (2959615)Peak memory usage: 32 MB
% 2.77/0.92 % (2959615)Instructions burned: 717 (million)
% 2.77/0.92 % (2959617)Instruction limit reached!
% 2.77/0.92 % (2959617)------------------------------
% 2.77/0.92 % (2959617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959617)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959617)Termination reason: Instruction limit
% 2.77/0.92 % (2959617)Termination phase: Saturation
% 2.77/0.92 % (2959617)Time elapsed: 0.274 s
% 2.77/0.92 % (2959617)Peak memory usage: 14 MB
% 2.77/0.92 % (2959617)Instructions burned: 687 (million)
% 2.77/0.92 % (2959627)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2725128359:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.77/0.92 % (2959628)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=168320208:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.77/0.92 % (2959627) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2959596-2959627"...
% 2.77/0.92 % (2959627)...printing done.
% 2.77/0.92 % (2959627)Refutation found. Thanks to Tanya!
% 2.77/0.92 % SZS status Theorem for theBenchmark
% 2.77/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/0.92 % (2959627)------------------------------
% 2.77/0.92 % (2959627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.92 % (2959627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.92 % (2959627)CaDiCaL version: 2.1.3
% 2.77/0.92 % (2959627)Termination reason: Refutation
% 2.77/0.92 % (2959627)Time elapsed: 0.091 s
% 2.77/0.92 % (2959627)Peak memory usage: 14 MB
% 2.77/0.92 % (2959627)Instructions burned: 161 (million)
% 2.77/0.92 % (2959596)Success in time 0.515 s
% 2.77/0.92 % Vampire exiting
%------------------------------------------------------------------------------