TSTP Solution File: NUM474+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM474+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:09:51 EDT 2023
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 110 ( 30 unt; 0 def)
% Number of atoms : 327 ( 110 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 383 ( 166 ~; 172 |; 28 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 89 (; 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5417,plain,
$false,
inference(avatar_sat_refutation,[],[f2187,f2194,f3561,f4978]) ).
fof(f4978,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f4977]) ).
fof(f4977,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f4976,f2174]) ).
fof(f2174,plain,
sdtpldt0(xm,xn) != sdtpldt0(xm,sdtasdt0(xl,xr)),
inference(backward_demodulation,[],[f111,f2173]) ).
fof(f2173,plain,
xm = sdtasdt0(xl,xp),
inference(forward_demodulation,[],[f2170,f115]) ).
fof(f115,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',m__1360) ).
fof(f2170,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(unit_resulting_resolution,[],[f117,f118,f112,f120,f182]) ).
fof(f182,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',mDefQuot) ).
fof(f120,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',m__1324_04) ).
fof(f112,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
sz00 != xl,
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',m__1347) ).
fof(f118,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',m__1324) ).
fof(f117,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f111,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(flattening,[],[f42]) ).
fof(f42,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',m__) ).
fof(f4976,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,sdtasdt0(xl,xr))
| ~ spl2_2
| ~ spl2_3 ),
inference(backward_demodulation,[],[f4754,f4975]) ).
fof(f4975,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xq,xl)
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_demodulation,[],[f4954,f4958]) ).
fof(f4958,plain,
( sdtpldt0(xm,xn) = sdtpldt0(sdtasdt0(xl,xr),xm)
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_demodulation,[],[f4938,f3565]) ).
fof(f3565,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(subsumption_resolution,[],[f3564,f117]) ).
fof(f3564,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f3563,f1163]) ).
fof(f1163,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(unit_resulting_resolution,[],[f118,f119,f136]) ).
fof(f136,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',mSortsB) ).
fof(f119,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f3563,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f3562,f112]) ).
fof(f3562,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f3555,f121]) ).
fof(f121,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f3555,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f182,f116]) ).
fof(f116,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',m__1379) ).
fof(f4938,plain,
( sdtpldt0(sdtasdt0(xl,xr),xm) = sdtasdt0(xl,xq)
| ~ spl2_2
| ~ spl2_3 ),
inference(backward_demodulation,[],[f4362,f4927]) ).
fof(f4927,plain,
( xq = sdtpldt0(xr,xp)
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_demodulation,[],[f3617,f2193]) ).
fof(f2193,plain,
( xq = sdtpldt0(xp,xr)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f2191,plain,
( spl2_3
<=> xq = sdtpldt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f3617,plain,
( sdtpldt0(xp,xr) = sdtpldt0(xr,xp)
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f2172,f2186,f138]) ).
fof(f138,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',mAddComm) ).
fof(f2186,plain,
( aNaturalNumber0(xr)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2184,plain,
( spl2_2
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f2172,plain,
aNaturalNumber0(xp),
inference(forward_demodulation,[],[f2171,f115]) ).
fof(f2171,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(unit_resulting_resolution,[],[f117,f118,f112,f120,f183]) ).
fof(f183,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f4362,plain,
( sdtpldt0(sdtasdt0(xl,xr),xm) = sdtasdt0(xl,sdtpldt0(xr,xp))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f4019,f2173]) ).
fof(f4019,plain,
( sdtasdt0(xl,sdtpldt0(xr,xp)) = sdtpldt0(sdtasdt0(xl,xr),sdtasdt0(xl,xp))
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f117,f2172,f2186,f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',mAMDistr) ).
fof(f4954,plain,
( sdtpldt0(sdtasdt0(xl,xr),xm) = sdtasdt0(xq,xl)
| ~ spl2_2
| ~ spl2_3 ),
inference(backward_demodulation,[],[f4759,f4927]) ).
fof(f4759,plain,
( sdtpldt0(sdtasdt0(xl,xr),xm) = sdtasdt0(sdtpldt0(xr,xp),xl)
| ~ spl2_2 ),
inference(backward_demodulation,[],[f4274,f3628]) ).
fof(f3628,plain,
( sdtasdt0(xl,xr) = sdtasdt0(xr,xl)
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f117,f2186,f139]) ).
fof(f139,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',mMulComm) ).
fof(f4274,plain,
( sdtasdt0(sdtpldt0(xr,xp),xl) = sdtpldt0(sdtasdt0(xr,xl),xm)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f4166,f3092]) ).
fof(f3092,plain,
xm = sdtasdt0(xp,xl),
inference(forward_demodulation,[],[f2246,f2173]) ).
fof(f2246,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(unit_resulting_resolution,[],[f117,f2172,f139]) ).
fof(f4166,plain,
( sdtasdt0(sdtpldt0(xr,xp),xl) = sdtpldt0(sdtasdt0(xr,xl),sdtasdt0(xp,xl))
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f117,f2172,f2186,f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f4754,plain,
( sdtpldt0(xm,sdtasdt0(xl,xr)) = sdtasdt0(xq,xl)
| ~ spl2_2
| ~ spl2_3 ),
inference(backward_demodulation,[],[f4243,f3628]) ).
fof(f4243,plain,
( sdtpldt0(xm,sdtasdt0(xr,xl)) = sdtasdt0(xq,xl)
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_demodulation,[],[f4242,f2193]) ).
fof(f4242,plain,
( sdtasdt0(sdtpldt0(xp,xr),xl) = sdtpldt0(xm,sdtasdt0(xr,xl))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f4215,f3092]) ).
fof(f4215,plain,
( sdtasdt0(sdtpldt0(xp,xr),xl) = sdtpldt0(sdtasdt0(xp,xl),sdtasdt0(xr,xl))
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f117,f2172,f2186,f166]) ).
fof(f3561,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f3560]) ).
fof(f3560,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f3559,f117]) ).
fof(f3559,plain,
( ~ aNaturalNumber0(xl)
| spl2_1 ),
inference(subsumption_resolution,[],[f3558,f1163]) ).
fof(f3558,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| spl2_1 ),
inference(subsumption_resolution,[],[f3557,f112]) ).
fof(f3557,plain,
( sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| spl2_1 ),
inference(subsumption_resolution,[],[f3556,f121]) ).
fof(f3556,plain,
( ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| spl2_1 ),
inference(subsumption_resolution,[],[f3554,f2182]) ).
fof(f2182,plain,
( ~ aNaturalNumber0(xq)
| spl2_1 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f2180,plain,
( spl2_1
<=> aNaturalNumber0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f3554,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f183,f116]) ).
fof(f2194,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f2189,f2191,f2180]) ).
fof(f2189,plain,
( xq = sdtpldt0(xp,xr)
| ~ aNaturalNumber0(xq) ),
inference(subsumption_resolution,[],[f2188,f2172]) ).
fof(f2188,plain,
( xq = sdtpldt0(xp,xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f2176,f113]) ).
fof(f113,plain,
sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',m__1395) ).
fof(f2176,plain,
( xq = sdtpldt0(xp,xr)
| ~ sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f179,f114]) ).
fof(f114,plain,
xr = sdtmndt0(xq,xp),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
xr = sdtmndt0(xq,xp),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',m__1422) ).
fof(f179,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416',mDefDiff) ).
fof(f2187,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f2178,f2184,f2180]) ).
fof(f2178,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(subsumption_resolution,[],[f2177,f2172]) ).
fof(f2177,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f2175,f113]) ).
fof(f2175,plain,
( aNaturalNumber0(xr)
| ~ sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f180,f114]) ).
fof(f180,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM474+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 08:28:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.uBNh6Gn4kr/Vampire---4.8_11416
% 0.15/0.36 % (11523)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (11530)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.21/0.42 % (11524)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.21/0.42 % (11529)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.21/0.42 % (11528)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (11526)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.21/0.42 % (11527)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.21/0.44 % (11525)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.21/0.55 % (11527)First to succeed.
% 0.21/0.56 % (11527)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for Vampire---4
% 0.21/0.56 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.56 % (11527)------------------------------
% 0.21/0.56 % (11527)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.56 % (11527)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.56 % (11527)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (11527)Memory used [KB]: 8443
% 0.21/0.56 % (11527)Time elapsed: 0.138 s
% 0.21/0.56 % (11527)------------------------------
% 0.21/0.56 % (11527)------------------------------
% 0.21/0.56 % (11523)Success in time 0.197 s
% 0.21/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------