TSTP Solution File: SEU020+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU020+1 : 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 : n013.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 03:49:49 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 14 unt; 0 def)
% Number of atoms : 156 ( 19 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 191 ( 75 ~; 63 |; 41 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 22 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f192,plain,
$false,
inference(subsumption_resolution,[],[f191,f97]) ).
fof(f97,plain,
relation(sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ~ one_to_one(sK0)
& identity_relation(relation_dom(sK0)) = relation_composition(sK0,sK1)
& function(sK1)
& relation(sK1)
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f44,f76,f75]) ).
fof(f75,plain,
( ? [X0] :
( ~ one_to_one(X0)
& ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) )
=> ( ~ one_to_one(sK0)
& ? [X1] :
( relation_composition(sK0,X1) = identity_relation(relation_dom(sK0))
& function(X1)
& relation(X1) )
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X1] :
( relation_composition(sK0,X1) = identity_relation(relation_dom(sK0))
& function(X1)
& relation(X1) )
=> ( identity_relation(relation_dom(sK0)) = relation_composition(sK0,sK1)
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0] :
( ~ one_to_one(X0)
& ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0] :
( ~ one_to_one(X0)
& ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
=> one_to_one(X0) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XBO0WULTBa/Vampire---4.8_19943',t53_funct_1) ).
fof(f191,plain,
~ relation(sK1),
inference(subsumption_resolution,[],[f190,f98]) ).
fof(f98,plain,
function(sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f190,plain,
( ~ function(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f189,f95]) ).
fof(f95,plain,
relation(sK0),
inference(cnf_transformation,[],[f77]) ).
fof(f189,plain,
( ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f188,f96]) ).
fof(f96,plain,
function(sK0),
inference(cnf_transformation,[],[f77]) ).
fof(f188,plain,
( ~ function(sK0)
| ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f187,f148]) ).
fof(f148,plain,
one_to_one(relation_composition(sK0,sK1)),
inference(superposition,[],[f125,f99]) ).
fof(f99,plain,
identity_relation(relation_dom(sK0)) = relation_composition(sK0,sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f125,plain,
! [X0] : one_to_one(identity_relation(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : one_to_one(identity_relation(X0)),
file('/export/starexec/sandbox2/tmp/tmp.XBO0WULTBa/Vampire---4.8_19943',t52_funct_1) ).
fof(f187,plain,
( ~ one_to_one(relation_composition(sK0,sK1))
| ~ function(sK0)
| ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f186,f100]) ).
fof(f100,plain,
~ one_to_one(sK0),
inference(cnf_transformation,[],[f77]) ).
fof(f186,plain,
( one_to_one(sK0)
| ~ one_to_one(relation_composition(sK0,sK1))
| ~ function(sK0)
| ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f163,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ subset(relation_rng(X1),relation_dom(X0))
| one_to_one(X1)
| ~ one_to_one(relation_composition(X1,X0))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( one_to_one(X1)
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ one_to_one(relation_composition(X1,X0))
| ~ function(X1)
| ~ relation(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( one_to_one(X1)
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ one_to_one(relation_composition(X1,X0))
| ~ function(X1)
| ~ relation(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0)) )
=> one_to_one(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XBO0WULTBa/Vampire---4.8_19943',t47_funct_1) ).
fof(f163,plain,
subset(relation_rng(sK0),relation_dom(sK1)),
inference(subsumption_resolution,[],[f162,f97]) ).
fof(f162,plain,
( subset(relation_rng(sK0),relation_dom(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f161,f98]) ).
fof(f161,plain,
( subset(relation_rng(sK0),relation_dom(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f160,f95]) ).
fof(f160,plain,
( subset(relation_rng(sK0),relation_dom(sK1))
| ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f159,f96]) ).
fof(f159,plain,
( subset(relation_rng(sK0),relation_dom(sK1))
| ~ function(sK0)
| ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(trivial_inequality_removal,[],[f154]) ).
fof(f154,plain,
( relation_dom(sK0) != relation_dom(sK0)
| subset(relation_rng(sK0),relation_dom(sK1))
| ~ function(sK0)
| ~ relation(sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f134,f152]) ).
fof(f152,plain,
relation_dom(sK0) = relation_dom(relation_composition(sK0,sK1)),
inference(superposition,[],[f102,f99]) ).
fof(f102,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( relation_rng(identity_relation(X0)) = X0
& relation_dom(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.XBO0WULTBa/Vampire---4.8_19943',t71_relat_1) ).
fof(f134,plain,
! [X0,X1] :
( relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(X1),relation_dom(X0))
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(X1),relation_dom(X0))
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XBO0WULTBa/Vampire---4.8_19943',t27_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % 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
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 16:11:49 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.XBO0WULTBa/Vampire---4.8_19943
% 0.58/0.75 % (20125)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)
% 0.58/0.75 % (20128)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)
% 0.58/0.76 % (20128)Refutation not found, incomplete strategy% (20128)------------------------------
% 0.58/0.76 % (20128)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20128)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20128)Memory used [KB]: 964
% 0.58/0.76 % (20128)Time elapsed: 0.002 s
% 0.58/0.76 % (20128)Instructions burned: 3 (million)
% 0.58/0.76 % (20128)------------------------------
% 0.58/0.76 % (20128)------------------------------
% 0.58/0.76 % (20121)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 % (20123)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 % (20124)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 % (20122)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 % (20125)Refutation not found, incomplete strategy% (20125)------------------------------
% 0.58/0.76 % (20125)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20125)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20125)Memory used [KB]: 1051
% 0.58/0.76 % (20125)Time elapsed: 0.002 s
% 0.58/0.76 % (20125)Instructions burned: 4 (million)
% 0.58/0.76 % (20126)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 % (20125)------------------------------
% 0.58/0.76 % (20125)------------------------------
% 0.58/0.76 % (20127)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)
% 0.58/0.76 % (20121)Refutation not found, incomplete strategy% (20121)------------------------------
% 0.58/0.76 % (20121)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20121)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20121)Memory used [KB]: 981
% 0.58/0.76 % (20121)Time elapsed: 0.004 s
% 0.58/0.76 % (20121)Instructions burned: 4 (million)
% 0.58/0.76 % (20121)------------------------------
% 0.58/0.76 % (20121)------------------------------
% 0.58/0.76 % (20129)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.76 % (20126)First to succeed.
% 0.58/0.76 % (20130)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.76 % (20126)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (20126)------------------------------
% 0.58/0.76 % (20126)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20126)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (20126)Memory used [KB]: 1065
% 0.58/0.76 % (20126)Time elapsed: 0.005 s
% 0.58/0.76 % (20126)Instructions burned: 6 (million)
% 0.58/0.76 % (20126)------------------------------
% 0.58/0.76 % (20126)------------------------------
% 0.58/0.76 % (20111)Success in time 0.387 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------