TSTP Solution File: NUM560+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM560+2 : 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 : n032.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 08:13:01 EDT 2024
% Result : Theorem 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 206 ( 48 equ)
% Maximal formula atoms : 18 ( 7 avg)
% Number of connectives : 268 ( 91 ~; 79 |; 78 &)
% ( 11 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 60 ( 50 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(subsumption_resolution,[],[f141,f105]) ).
fof(f105,plain,
aFunction0(xF),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
( aElement0(xy)
& aFunction0(xF) ),
file('/export/starexec/sandbox/tmp/tmp.YdDH7CFk1d/Vampire---4.8_22892',m__2693) ).
fof(f141,plain,
~ aFunction0(xF),
inference(subsumption_resolution,[],[f140,f106]) ).
fof(f106,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f140,plain,
( ~ aElement0(xy)
| ~ aFunction0(xF) ),
inference(subsumption_resolution,[],[f137,f112]) ).
fof(f112,plain,
~ aElementOf0(sK0,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ~ aElementOf0(sK0,szDzozmdt0(xF))
& aElementOf0(sK0,sdtlbdtrb0(xF,xy))
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X1)
| ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X1)
& aElementOf0(X1,szDzozmdt0(xF)) )
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f92,f93]) ).
fof(f93,plain,
( ? [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
& aElementOf0(X0,sdtlbdtrb0(xF,xy)) )
=> ( ~ aElementOf0(sK0,szDzozmdt0(xF))
& aElementOf0(sK0,sdtlbdtrb0(xF,xy)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
& aElementOf0(X0,sdtlbdtrb0(xF,xy)) )
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X1)
| ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X1)
& aElementOf0(X1,szDzozmdt0(xF)) )
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) ) ) ),
inference(rectify,[],[f69]) ).
fof(f69,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
inference(negated_conjecture,[],[f68]) ).
fof(f68,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YdDH7CFk1d/Vampire---4.8_22892',m__) ).
fof(f137,plain,
( aElementOf0(sK0,szDzozmdt0(xF))
| ~ aElement0(xy)
| ~ aFunction0(xF) ),
inference(resolution,[],[f111,f135]) ).
fof(f135,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| aElementOf0(X4,szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X0))
| ~ aElementOf0(X4,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ( ( sdtlpdtrp0(X0,sK2(X0,X1,X2)) != X1
| ~ aElementOf0(sK2(X0,X1,X2),szDzozmdt0(X0))
| ~ aElementOf0(sK2(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X0,sK2(X0,X1,X2)) = X1
& aElementOf0(sK2(X0,X1,X2),szDzozmdt0(X0)) )
| aElementOf0(sK2(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X4) = X1
& aElementOf0(X4,szDzozmdt0(X0)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f102,f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
=> ( ( sdtlpdtrp0(X0,sK2(X0,X1,X2)) != X1
| ~ aElementOf0(sK2(X0,X1,X2),szDzozmdt0(X0))
| ~ aElementOf0(sK2(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X0,sK2(X0,X1,X2)) = X1
& aElementOf0(sK2(X0,X1,X2),szDzozmdt0(X0)) )
| aElementOf0(sK2(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X4) = X1
& aElementOf0(X4,szDzozmdt0(X0)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YdDH7CFk1d/Vampire---4.8_22892',mDefPtt) ).
fof(f111,plain,
aElementOf0(sK0,sdtlbdtrb0(xF,xy)),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % 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
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 14:11:22 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.09/0.29 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.YdDH7CFk1d/Vampire---4.8_22892
% 0.46/0.64 % (23154)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)
% 0.46/0.64 % (23153)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)
% 0.46/0.64 % (23155)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.64 % (23157)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)
% 0.46/0.64 % (23158)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)
% 0.46/0.64 % (23160)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)
% 0.46/0.64 % (23159)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)
% 0.46/0.64 % (23156)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)
% 0.46/0.64 % (23155)Also succeeded, but the first one will report.
% 0.46/0.64 % (23158)First to succeed.
% 0.46/0.64 % (23160)Also succeeded, but the first one will report.
% 0.46/0.64 % (23153)Also succeeded, but the first one will report.
% 0.46/0.64 % (23156)Also succeeded, but the first one will report.
% 0.46/0.64 % (23158)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23143"
% 0.46/0.64 % (23159)Also succeeded, but the first one will report.
% 0.46/0.64 % (23158)Refutation found. Thanks to Tanya!
% 0.46/0.64 % SZS status Theorem for Vampire---4
% 0.46/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.64 % (23158)------------------------------
% 0.46/0.64 % (23158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (23158)Termination reason: Refutation
% 0.46/0.64
% 0.46/0.64 % (23158)Memory used [KB]: 1063
% 0.46/0.64 % (23158)Time elapsed: 0.003 s
% 0.46/0.64 % (23158)Instructions burned: 5 (million)
% 0.46/0.64 % (23143)Success in time 0.346 s
% 0.46/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------