TSTP Solution File: NUM623+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM623+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 : Wed May 1 03:32:33 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 109 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 41 ~; 35 |; 18 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 23 ( 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1796,plain,
$false,
inference(avatar_sat_refutation,[],[f1270,f1665,f1673,f1795]) ).
fof(f1795,plain,
spl72_21,
inference(avatar_contradiction_clause,[],[f1794]) ).
fof(f1794,plain,
( $false
| spl72_21 ),
inference(subsumption_resolution,[],[f1792,f791]) ).
fof(f791,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f119]) ).
fof(f119,axiom,
( aElementOf0(xx,xQ)
& aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810',m__5481) ).
fof(f1792,plain,
( ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| spl72_21 ),
inference(resolution,[],[f785,f1269]) ).
fof(f1269,plain,
( ~ sdtlseqdt0(xx,xp)
| spl72_21 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1267,plain,
( spl72_21
<=> sdtlseqdt0(xx,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_21])]) ).
fof(f785,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,axiom,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810',m__5401) ).
fof(f1673,plain,
spl72_20,
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1672,plain,
( $false
| spl72_20 ),
inference(subsumption_resolution,[],[f1671,f777]) ).
fof(f777,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,axiom,
( aElementOf0(xx,xP)
& szmzizndt0(xQ) != xx
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810',m__5348) ).
fof(f1671,plain,
( ~ aElementOf0(xx,xQ)
| spl72_20 ),
inference(resolution,[],[f752,f1265]) ).
fof(f1265,plain,
( ~ sdtlseqdt0(xp,xx)
| spl72_20 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1263,plain,
( spl72_20
<=> sdtlseqdt0(xp,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_20])]) ).
fof(f752,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( xp = szmzizndt0(xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& aElementOf0(xp,xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
( xp = szmzizndt0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810',m__5147) ).
fof(f1665,plain,
spl72_19,
inference(avatar_split_clause,[],[f1654,f1259]) ).
fof(f1259,plain,
( spl72_19
<=> aElementOf0(xp,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_19])]) ).
fof(f1654,plain,
aElementOf0(xp,szNzAzT0),
inference(resolution,[],[f744,f751]) ).
fof(f751,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f179]) ).
fof(f744,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810',m__5106) ).
fof(f1270,plain,
( ~ spl72_19
| ~ spl72_20
| ~ spl72_21 ),
inference(avatar_split_clause,[],[f1257,f1267,f1263,f1259]) ).
fof(f1257,plain,
( ~ sdtlseqdt0(xx,xp)
| ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xp,szNzAzT0) ),
inference(subsumption_resolution,[],[f1254,f780]) ).
fof(f780,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f429]) ).
fof(f429,plain,
( xx = sdtlpdtrp0(xe,sK54)
& aElementOf0(sK54,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xx,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f114,f428]) ).
fof(f428,plain,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( xx = sdtlpdtrp0(xe,sK54)
& aElementOf0(sK54,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f114,axiom,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810',m__5365) ).
fof(f1254,plain,
( ~ sdtlseqdt0(xx,xp)
| ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xx,szNzAzT0)
| ~ aElementOf0(xp,szNzAzT0) ),
inference(resolution,[],[f1051,f1075]) ).
fof(f1075,plain,
! [X0,X1] :
( sQ71_eqProxy(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f868,f958]) ).
fof(f958,plain,
! [X0,X1] :
( sQ71_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ71_eqProxy])]) ).
fof(f868,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810',mLessASymm) ).
fof(f1051,plain,
~ sQ71_eqProxy(xp,xx),
inference(equality_proxy_replacement,[],[f793,f958]) ).
fof(f793,plain,
xp != xx,
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
xp != xx,
inference(flattening,[],[f121]) ).
fof(f121,negated_conjecture,
xp != xx,
inference(negated_conjecture,[],[f120]) ).
fof(f120,conjecture,
xp = xx,
file('/export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM623+3 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:53:02 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.1VMouMlpkX/Vampire---4.8_25810
% 0.58/0.75 % (26031)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)
% 0.58/0.75 % (26029)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)
% 0.58/0.76 % (26026)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (26024)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)
% 0.58/0.76 % (26025)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)
% 0.58/0.76 % (26027)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)
% 0.58/0.76 % (26028)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)
% 0.58/0.76 % (26030)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)
% 0.60/0.77 % (26031)First to succeed.
% 0.60/0.77 % (26029)Instruction limit reached!
% 0.60/0.77 % (26029)------------------------------
% 0.60/0.77 % (26029)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (26029)Termination reason: Unknown
% 0.60/0.77 % (26029)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (26029)Memory used [KB]: 1980
% 0.60/0.77 % (26029)Time elapsed: 0.016 s
% 0.60/0.77 % (26029)Instructions burned: 45 (million)
% 0.60/0.77 % (26029)------------------------------
% 0.60/0.77 % (26029)------------------------------
% 0.60/0.77 % (26031)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (26031)------------------------------
% 0.60/0.77 % (26031)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (26031)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (26031)Memory used [KB]: 1839
% 0.60/0.77 % (26031)Time elapsed: 0.016 s
% 0.60/0.77 % (26031)Instructions burned: 46 (million)
% 0.60/0.77 % (26031)------------------------------
% 0.60/0.77 % (26031)------------------------------
% 0.60/0.77 % (25974)Success in time 0.385 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------