TSTP Solution File: SET751+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET751+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 : n012.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 09:08:18 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 123 ( 38 ~; 27 |; 47 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 93 ( 70 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(subsumption_resolution,[],[f90,f73]) ).
fof(f73,plain,
apply(sK0,sK7(sK0,sK3,sK5(image2(sK0,sK3),image2(sK0,sK4))),sK5(image2(sK0,sK3),image2(sK0,sK4))),
inference(unit_resulting_resolution,[],[f66,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( apply(X0,sK7(X0,X1,X2),X2)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ( apply(X0,sK7(X0,X1,X2),X2)
& member(sK7(X0,X1,X2),X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f49,f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
=> ( apply(X0,sK7(X0,X1,X2),X2)
& member(sK7(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X5,X0,X4] :
( member(X4,image2(X5,X0))
<=> ? [X2] :
( apply(X5,X2,X4)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mAEG4yqJ7R/Vampire---4.8_9775',image2) ).
fof(f66,plain,
member(sK5(image2(sK0,sK3),image2(sK0,sK4)),image2(sK0,sK3)),
inference(unit_resulting_resolution,[],[f56,f58]) ).
fof(f58,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f43,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mAEG4yqJ7R/Vampire---4.8_9775',subset) ).
fof(f56,plain,
~ subset(image2(sK0,sK3),image2(sK0,sK4)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ~ subset(image2(sK0,sK3),image2(sK0,sK4))
& subset(sK3,sK4)
& subset(sK4,sK1)
& subset(sK3,sK1)
& maps(sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f36,f40]) ).
fof(f40,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ subset(image2(X0,X3),image2(X0,X4))
& subset(X3,X4)
& subset(X4,X1)
& subset(X3,X1)
& maps(X0,X1,X2) )
=> ( ~ subset(image2(sK0,sK3),image2(sK0,sK4))
& subset(sK3,sK4)
& subset(sK4,sK1)
& subset(sK3,sK1)
& maps(sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1,X2,X3,X4] :
( ~ subset(image2(X0,X3),image2(X0,X4))
& subset(X3,X4)
& subset(X4,X1)
& subset(X3,X1)
& maps(X0,X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0,X1,X2,X3,X4] :
( ~ subset(image2(X0,X3),image2(X0,X4))
& subset(X3,X4)
& subset(X4,X1)
& subset(X3,X1)
& maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( subset(X3,X4)
& subset(X4,X1)
& subset(X3,X1)
& maps(X0,X1,X2) )
=> subset(image2(X0,X3),image2(X0,X4)) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X0,X1,X2,X4] :
( ( subset(X2,X4)
& subset(X4,X0)
& subset(X2,X0)
& maps(X5,X0,X1) )
=> subset(image2(X5,X2),image2(X5,X4)) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X0,X1,X2,X4] :
( ( subset(X2,X4)
& subset(X4,X0)
& subset(X2,X0)
& maps(X5,X0,X1) )
=> subset(image2(X5,X2),image2(X5,X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.mAEG4yqJ7R/Vampire---4.8_9775',thIIa01) ).
fof(f90,plain,
~ apply(sK0,sK7(sK0,sK3,sK5(image2(sK0,sK3),image2(sK0,sK4))),sK5(image2(sK0,sK3),image2(sK0,sK4))),
inference(unit_resulting_resolution,[],[f67,f82,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X3,X2)
| member(X2,image2(X0,X1))
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f82,plain,
member(sK7(sK0,sK3,sK5(image2(sK0,sK3),image2(sK0,sK4))),sK4),
inference(unit_resulting_resolution,[],[f55,f71,f57]) ).
fof(f57,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f71,plain,
member(sK7(sK0,sK3,sK5(image2(sK0,sK3),image2(sK0,sK4))),sK3),
inference(unit_resulting_resolution,[],[f66,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X1)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f55,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f41]) ).
fof(f67,plain,
~ member(sK5(image2(sK0,sK3),image2(sK0,sK4)),image2(sK0,sK4)),
inference(unit_resulting_resolution,[],[f56,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET751+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 16:22:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34 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.mAEG4yqJ7R/Vampire---4.8_9775
% 0.56/0.75 % (9889)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)
% 0.56/0.75 % (9887)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)
% 0.56/0.75 % (9884)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)
% 0.56/0.75 % (9885)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.75 % (9886)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)
% 0.56/0.75 % (9888)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)
% 0.56/0.75 % (9883)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)
% 0.56/0.76 % (9888)Refutation not found, incomplete strategy% (9888)------------------------------
% 0.56/0.76 % (9888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (9888)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (9888)Memory used [KB]: 1044
% 0.56/0.76 % (9888)Time elapsed: 0.003 s
% 0.56/0.76 % (9888)Instructions burned: 2 (million)
% 0.56/0.76 % (9890)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)
% 0.56/0.76 % (9888)------------------------------
% 0.56/0.76 % (9888)------------------------------
% 0.56/0.76 % (9887)Refutation not found, incomplete strategy% (9887)------------------------------
% 0.56/0.76 % (9887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (9887)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (9887)Memory used [KB]: 1133
% 0.56/0.76 % (9887)Time elapsed: 0.004 s
% 0.56/0.76 % (9887)Instructions burned: 5 (million)
% 0.56/0.76 % (9889)Also succeeded, but the first one will report.
% 0.56/0.76 % (9887)------------------------------
% 0.56/0.76 % (9887)------------------------------
% 0.56/0.76 % (9886)First to succeed.
% 0.56/0.76 % (9886)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9882"
% 0.56/0.76 % (9890)Refutation not found, incomplete strategy% (9890)------------------------------
% 0.56/0.76 % (9890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (9890)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (9890)Memory used [KB]: 1062
% 0.56/0.76 % (9890)Time elapsed: 0.004 s
% 0.56/0.76 % (9890)Instructions burned: 3 (million)
% 0.56/0.76 % (9890)------------------------------
% 0.56/0.76 % (9890)------------------------------
% 0.56/0.76 % (9886)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (9886)------------------------------
% 0.56/0.76 % (9886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (9886)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (9886)Memory used [KB]: 1075
% 0.56/0.76 % (9886)Time elapsed: 0.005 s
% 0.56/0.76 % (9886)Instructions burned: 5 (million)
% 0.56/0.76 % (9882)Success in time 0.408 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------