TSTP Solution File: RNG046+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG046+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 : n028.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 14:00:00 EDT 2023
% Result : Theorem 0.14s 0.44s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 88 ( 51 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 72 ( 27 ~; 23 |; 19 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 16 (; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f265,plain,
$false,
inference(subsumption_resolution,[],[f264,f81]) ).
fof(f81,plain,
sF3 != sF4,
inference(definition_folding,[],[f47,f80,f79,f78,f77]) ).
fof(f77,plain,
smndt0(xx) = sF1,
introduced(function_definition,[]) ).
fof(f78,plain,
smndt0(xy) = sF2,
introduced(function_definition,[]) ).
fof(f79,plain,
sdtasdt0(sF1,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f80,plain,
sdtasdt0(xx,xy) = sF4,
introduced(function_definition,[]) ).
fof(f47,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(flattening,[],[f20]) ).
fof(f20,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
file('/export/starexec/sandbox2/tmp/tmp.iGKrdJrwNV/Vampire---4.8_29495',m__) ).
fof(f264,plain,
sF3 = sF4,
inference(forward_demodulation,[],[f263,f79]) ).
fof(f263,plain,
sdtasdt0(sF1,sF2) = sF4,
inference(forward_demodulation,[],[f262,f223]) ).
fof(f223,plain,
sF4 = smndt0(smndt0(sF4)),
inference(forward_demodulation,[],[f222,f80]) ).
fof(f222,plain,
sdtasdt0(xx,xy) = smndt0(smndt0(sF4)),
inference(forward_demodulation,[],[f221,f100]) ).
fof(f100,plain,
xy = smndt0(sF2),
inference(subsumption_resolution,[],[f97,f49]) ).
fof(f49,plain,
aScalar0(xy),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( aScalar0(xy)
& aScalar0(xx) ),
file('/export/starexec/sandbox2/tmp/tmp.iGKrdJrwNV/Vampire---4.8_29495',m__799) ).
fof(f97,plain,
( xy = smndt0(sF2)
| ~ aScalar0(xy) ),
inference(superposition,[],[f61,f78]) ).
fof(f61,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.iGKrdJrwNV/Vampire---4.8_29495',mScZero) ).
fof(f221,plain,
sdtasdt0(xx,smndt0(sF2)) = smndt0(smndt0(sF4)),
inference(subsumption_resolution,[],[f220,f48]) ).
fof(f48,plain,
aScalar0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f220,plain,
( sdtasdt0(xx,smndt0(sF2)) = smndt0(smndt0(sF4))
| ~ aScalar0(xx) ),
inference(subsumption_resolution,[],[f218,f85]) ).
fof(f85,plain,
aScalar0(sF2),
inference(subsumption_resolution,[],[f83,f49]) ).
fof(f83,plain,
( aScalar0(sF2)
| ~ aScalar0(xy) ),
inference(superposition,[],[f54,f78]) ).
fof(f54,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.iGKrdJrwNV/Vampire---4.8_29495',mNegSc) ).
fof(f218,plain,
( sdtasdt0(xx,smndt0(sF2)) = smndt0(smndt0(sF4))
| ~ aScalar0(sF2)
| ~ aScalar0(xx) ),
inference(superposition,[],[f68,f212]) ).
fof(f212,plain,
smndt0(sF4) = sdtasdt0(xx,sF2),
inference(forward_demodulation,[],[f211,f78]) ).
fof(f211,plain,
smndt0(sF4) = sdtasdt0(xx,smndt0(xy)),
inference(subsumption_resolution,[],[f210,f48]) ).
fof(f210,plain,
( smndt0(sF4) = sdtasdt0(xx,smndt0(xy))
| ~ aScalar0(xx) ),
inference(subsumption_resolution,[],[f200,f49]) ).
fof(f200,plain,
( smndt0(sF4) = sdtasdt0(xx,smndt0(xy))
| ~ aScalar0(xy)
| ~ aScalar0(xx) ),
inference(superposition,[],[f68,f80]) ).
fof(f68,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iGKrdJrwNV/Vampire---4.8_29495',mMNeg) ).
fof(f262,plain,
sdtasdt0(sF1,sF2) = smndt0(smndt0(sF4)),
inference(forward_demodulation,[],[f261,f77]) ).
fof(f261,plain,
smndt0(smndt0(sF4)) = sdtasdt0(smndt0(xx),sF2),
inference(subsumption_resolution,[],[f260,f48]) ).
fof(f260,plain,
( smndt0(smndt0(sF4)) = sdtasdt0(smndt0(xx),sF2)
| ~ aScalar0(xx) ),
inference(subsumption_resolution,[],[f241,f85]) ).
fof(f241,plain,
( smndt0(smndt0(sF4)) = sdtasdt0(smndt0(xx),sF2)
| ~ aScalar0(sF2)
| ~ aScalar0(xx) ),
inference(superposition,[],[f69,f212]) ).
fof(f69,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG046+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 03:01:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.iGKrdJrwNV/Vampire---4.8_29495
% 0.14/0.37 % (29667)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.43 % (29672)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_424 on Vampire---4 for (424ds/0Mi)
% 0.14/0.43 % (29670)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.14/0.43 % (29671)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.14/0.43 % (29669)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.14/0.43 % (29673)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.14/0.43 % (29668)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.14/0.43 % (29674)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.14/0.43 % (29673)First to succeed.
% 0.14/0.44 % (29673)Refutation found. Thanks to Tanya!
% 0.14/0.44 % SZS status Theorem for Vampire---4
% 0.14/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.44 % (29673)------------------------------
% 0.14/0.44 % (29673)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.44 % (29673)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.44 % (29673)Termination reason: Refutation
% 0.14/0.44
% 0.14/0.44 % (29673)Memory used [KB]: 5500
% 0.14/0.44 % (29673)Time elapsed: 0.009 s
% 0.14/0.44 % (29673)------------------------------
% 0.14/0.44 % (29673)------------------------------
% 0.14/0.44 % (29667)Success in time 0.067 s
% 0.14/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------