TSTP Solution File: SET813+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET813+4 : TPTP v8.1.2. Released v3.2.0.
% 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 : n021.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 09:08:35 EDT 2024
% Result : Theorem 0.62s 0.82s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 57 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 21 ~; 15 |; 10 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 34 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(subsumption_resolution,[],[f89,f83]) ).
fof(f83,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.3BLB4JAYMv/Vampire---4.8_29446',singleton) ).
fof(f89,plain,
~ member(sK0,singleton(sK0)),
inference(resolution,[],[f87,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3BLB4JAYMv/Vampire---4.8_29446',union) ).
fof(f87,plain,
~ member(sK0,union(sK0,singleton(sK0))),
inference(resolution,[],[f59,f66]) ).
fof(f66,plain,
! [X0,X1] :
( member(X1,suc(X0))
| ~ member(X1,union(X0,singleton(X0))) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( member(X1,suc(X0))
| ~ member(X1,union(X0,singleton(X0))) )
& ( member(X1,union(X0,singleton(X0)))
| ~ member(X1,suc(X0)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( member(X1,suc(X0))
<=> member(X1,union(X0,singleton(X0))) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X2] :
( member(X2,suc(X0))
<=> member(X2,union(X0,singleton(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.3BLB4JAYMv/Vampire---4.8_29446',successor) ).
fof(f59,plain,
~ member(sK0,suc(sK0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ member(sK0,suc(sK0))
& member(sK0,on) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f35]) ).
fof(f35,plain,
( ? [X0] :
( ~ member(X0,suc(X0))
& member(X0,on) )
=> ( ~ member(sK0,suc(sK0))
& member(sK0,on) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] :
( ~ member(X0,suc(X0))
& member(X0,on) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.3BLB4JAYMv/Vampire---4.8_29446',thV12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET813+4 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % 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
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 16:46:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 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.3BLB4JAYMv/Vampire---4.8_29446
% 0.62/0.82 % (29558)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 (2995ds/34Mi)
% 0.62/0.82 % (29560)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82 % (29559)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 (2995ds/51Mi)
% 0.62/0.82 % (29561)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.82 % (29562)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 (2995ds/34Mi)
% 0.62/0.82 % (29563)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.82 % (29564)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 (2995ds/83Mi)
% 0.62/0.82 % (29565)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 (2995ds/56Mi)
% 0.62/0.82 % (29561)Refutation not found, incomplete strategy% (29561)------------------------------
% 0.62/0.82 % (29561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (29561)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (29561)Memory used [KB]: 1039
% 0.62/0.82 % (29561)Time elapsed: 0.003 s
% 0.62/0.82 % (29561)Instructions burned: 2 (million)
% 0.62/0.82 % (29558)Refutation not found, incomplete strategy% (29558)------------------------------
% 0.62/0.82 % (29558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (29558)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (29558)Memory used [KB]: 1068
% 0.62/0.82 % (29558)Time elapsed: 0.003 s
% 0.62/0.82 % (29558)Instructions burned: 2 (million)
% 0.62/0.82 % (29565)First to succeed.
% 0.62/0.82 % (29558)------------------------------
% 0.62/0.82 % (29558)------------------------------
% 0.62/0.82 % (29561)------------------------------
% 0.62/0.82 % (29561)------------------------------
% 0.62/0.82 % (29565)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29556"
% 0.62/0.82 % (29565)Refutation found. Thanks to Tanya!
% 0.62/0.82 % SZS status Theorem for Vampire---4
% 0.62/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82 % (29565)------------------------------
% 0.62/0.82 % (29565)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (29565)Termination reason: Refutation
% 0.62/0.82
% 0.62/0.82 % (29565)Memory used [KB]: 1067
% 0.62/0.82 % (29565)Time elapsed: 0.003 s
% 0.62/0.82 % (29565)Instructions burned: 3 (million)
% 0.62/0.82 % (29556)Success in time 0.483 s
% 0.62/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------