TSTP Solution File: COM012+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Sun May 5 04:46:11 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 218 ( 28 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 239 ( 66 ~; 90 |; 70 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 43 ( 30 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f136,f141,f162,f173]) ).
fof(f173,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f172,plain,
( $false
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f169,f40]) ).
fof(f40,plain,
sdtmndtasgtdt0(xx,xR,xy),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ~ sdtmndtasgtdt0(xx,xR,xz)
& ~ sdtmndtplgtdt0(xx,xR,xz)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,xz)
| ~ aReductOfIn0(X2,xx,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(xz,xx,xR)
& xx != xz
& sdtmndtasgtdt0(xy,xR,xz)
& ( ( sdtmndtplgtdt0(xy,xR,xz)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) )
| aReductOfIn0(xz,xy,xR) ) )
| xy = xz )
& sdtmndtasgtdt0(xx,xR,xy)
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xy)
& aReductOfIn0(X1,xx,xR)
& aElement0(X1) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
( ~ sdtmndtasgtdt0(xx,xR,xz)
& ~ sdtmndtplgtdt0(xx,xR,xz)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,xz)
| ~ aReductOfIn0(X2,xx,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(xz,xx,xR)
& xx != xz
& sdtmndtasgtdt0(xy,xR,xz)
& ( ( sdtmndtplgtdt0(xy,xR,xz)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) )
| aReductOfIn0(xz,xy,xR) ) )
| xy = xz )
& sdtmndtasgtdt0(xx,xR,xy)
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xy)
& aReductOfIn0(X1,xx,xR)
& aElement0(X1) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ( ( sdtmndtasgtdt0(xy,xR,xz)
& ( ( sdtmndtplgtdt0(xy,xR,xz)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) )
| aReductOfIn0(xz,xy,xR) ) )
| xy = xz )
& sdtmndtasgtdt0(xx,xR,xy)
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xy)
& aReductOfIn0(X1,xx,xR)
& aElement0(X1) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy ) )
=> ( sdtmndtasgtdt0(xx,xR,xz)
| sdtmndtplgtdt0(xx,xR,xz)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,xz)
& aReductOfIn0(X2,xx,xR)
& aElement0(X2) )
| aReductOfIn0(xz,xx,xR)
| xx = xz ) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ( ( sdtmndtasgtdt0(xy,xR,xz)
& ( ( sdtmndtplgtdt0(xy,xR,xz)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) )
| aReductOfIn0(xz,xy,xR) ) )
| xy = xz )
& sdtmndtasgtdt0(xx,xR,xy)
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xy)
& aReductOfIn0(X0,xx,xR)
& aElement0(X0) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy ) )
=> ( sdtmndtasgtdt0(xx,xR,xz)
| sdtmndtplgtdt0(xx,xR,xz)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xx,xR)
& aElement0(X0) )
| aReductOfIn0(xz,xx,xR)
| xx = xz ) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
( ( sdtmndtasgtdt0(xy,xR,xz)
& ( ( sdtmndtplgtdt0(xy,xR,xz)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) )
| aReductOfIn0(xz,xy,xR) ) )
| xy = xz )
& sdtmndtasgtdt0(xx,xR,xy)
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xy)
& aReductOfIn0(X0,xx,xR)
& aElement0(X0) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy ) )
=> ( sdtmndtasgtdt0(xx,xR,xz)
| sdtmndtplgtdt0(xx,xR,xz)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xx,xR)
& aElement0(X0) )
| aReductOfIn0(xz,xx,xR)
| xx = xz ) ),
file('/export/starexec/sandbox/tmp/tmp.IYnJaBokVm/Vampire---4.8_20952',m__) ).
fof(f169,plain,
( ~ sdtmndtasgtdt0(xx,xR,xy)
| ~ spl3_4 ),
inference(superposition,[],[f45,f74]) ).
fof(f74,plain,
( xy = xz
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl3_4
<=> xy = xz ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f45,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(cnf_transformation,[],[f14]) ).
fof(f162,plain,
( ~ spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f150,f59,f68]) ).
fof(f68,plain,
( spl3_3
<=> sdtmndtplgtdt0(xy,xR,xz) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f59,plain,
( spl3_1
<=> sdtmndtplgtdt0(xx,xR,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f150,plain,
( ~ sdtmndtplgtdt0(xy,xR,xz)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f29,f27,f28,f30,f44,f61,f46]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| sdtmndtplgtdt0(X0,X1,X3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X2,X1,X3)
& sdtmndtplgtdt0(X0,X1,X2) )
=> sdtmndtplgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.IYnJaBokVm/Vampire---4.8_20952',mTCTrans) ).
fof(f61,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f44,plain,
~ sdtmndtplgtdt0(xx,xR,xz),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
aElement0(xz),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( aElement0(xz)
& aElement0(xy)
& aRewritingSystem0(xR)
& aElement0(xx) ),
file('/export/starexec/sandbox/tmp/tmp.IYnJaBokVm/Vampire---4.8_20952',m__349) ).
fof(f28,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
aElement0(xx),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
aElement0(xy),
inference(cnf_transformation,[],[f9]) ).
fof(f141,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f137,f45]) ).
fof(f137,plain,
( sdtmndtasgtdt0(xx,xR,xz)
| ~ spl3_2 ),
inference(superposition,[],[f41,f65]) ).
fof(f65,plain,
( xx = xy
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl3_2
<=> xx = xy ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f41,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(cnf_transformation,[],[f14]) ).
fof(f136,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f135,f72,f68]) ).
fof(f135,plain,
( xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(subsumption_resolution,[],[f134,f29]) ).
fof(f134,plain,
( xy = xz
| sdtmndtplgtdt0(xy,xR,xz)
| ~ aElement0(xy) ),
inference(subsumption_resolution,[],[f133,f30]) ).
fof(f133,plain,
( ~ aElement0(xz)
| xy = xz
| sdtmndtplgtdt0(xy,xR,xz)
| ~ aElement0(xy) ),
inference(subsumption_resolution,[],[f128,f28]) ).
fof(f128,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xz)
| xy = xz
| sdtmndtplgtdt0(xy,xR,xz)
| ~ aElement0(xy) ),
inference(resolution,[],[f41,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IYnJaBokVm/Vampire---4.8_20952',mTCRDef) ).
fof(f66,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f39,f63,f59]) ).
fof(f39,plain,
( xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.37 % Computer : n024.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 21:27:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.IYnJaBokVm/Vampire---4.8_20952
% 0.55/0.76 % (21213)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.76 % (21207)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (21208)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.76 % (21210)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76 % (21209)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (21212)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76 % (21214)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.76 % (21213)First to succeed.
% 0.60/0.76 % (21211)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (21213)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21202"
% 0.60/0.76 % (21213)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (21213)------------------------------
% 0.60/0.76 % (21213)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (21213)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (21213)Memory used [KB]: 1081
% 0.60/0.76 % (21213)Time elapsed: 0.004 s
% 0.60/0.76 % (21213)Instructions burned: 8 (million)
% 0.60/0.76 % (21202)Success in time 0.379 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------