TSTP Solution File: SEU217+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU217+3 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 03:50:47 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 101 ( 46 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 130 ( 55 ~; 43 |; 23 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f110,plain,
$false,
inference(subsumption_resolution,[],[f109,f73]) ).
fof(f73,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox/tmp/tmp.Vznn094hxG/Vampire---4.8_8362',dt_k6_relat_1) ).
fof(f109,plain,
~ relation(identity_relation(sK0)),
inference(subsumption_resolution,[],[f108,f72]) ).
fof(f72,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( function(identity_relation(X0))
& relation(identity_relation(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.Vznn094hxG/Vampire---4.8_8362',fc2_funct_1) ).
fof(f108,plain,
( ~ function(identity_relation(sK0))
| ~ relation(identity_relation(sK0)) ),
inference(subsumption_resolution,[],[f107,f67]) ).
fof(f67,plain,
in(sK1,sK0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( sK1 != apply(identity_relation(sK0),sK1)
& in(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f48]) ).
fof(f48,plain,
( ? [X0,X1] :
( apply(identity_relation(X0),X1) != X1
& in(X1,X0) )
=> ( sK1 != apply(identity_relation(sK0),sK1)
& in(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1] :
( apply(identity_relation(X0),X1) != X1
& in(X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0,X1] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0,X1] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.Vznn094hxG/Vampire---4.8_8362',t35_funct_1) ).
fof(f107,plain,
( ~ in(sK1,sK0)
| ~ function(identity_relation(sK0))
| ~ relation(identity_relation(sK0)) ),
inference(trivial_inequality_removal,[],[f106]) ).
fof(f106,plain,
( sK1 != sK1
| ~ in(sK1,sK0)
| ~ function(identity_relation(sK0))
| ~ relation(identity_relation(sK0)) ),
inference(superposition,[],[f68,f101]) ).
fof(f101,plain,
! [X3,X0] :
( apply(identity_relation(X0),X3) = X3
| ~ in(X3,X0)
| ~ function(identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X3,X0,X1] :
( apply(X1,X3) = X3
| ~ in(X3,X0)
| identity_relation(X0) != X1
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ( sK2(X0,X1) != apply(X1,sK2(X0,X1))
& in(sK2(X0,X1),X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
=> ( sK2(X0,X1) != apply(X1,sK2(X0,X1))
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( identity_relation(X0) = X1
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Vznn094hxG/Vampire---4.8_8362',t34_funct_1) ).
fof(f68,plain,
sK1 != apply(identity_relation(sK0),sK1),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU217+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.15 % 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
% 0.14/0.36 % Computer : n028.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 16:33:45 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.Vznn094hxG/Vampire---4.8_8362
% 0.57/0.75 % (8730)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)
% 0.57/0.75 % (8723)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)
% 0.57/0.75 % (8725)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (8724)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)
% 0.57/0.75 % (8726)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)
% 0.57/0.75 % (8730)Refutation not found, incomplete strategy% (8730)------------------------------
% 0.57/0.75 % (8730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (8730)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (8730)Memory used [KB]: 1043
% 0.57/0.75 % (8730)Time elapsed: 0.002 s
% 0.57/0.75 % (8730)Instructions burned: 3 (million)
% 0.57/0.75 % (8730)------------------------------
% 0.57/0.75 % (8730)------------------------------
% 0.57/0.75 % (8727)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)
% 0.57/0.75 % (8728)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)
% 0.57/0.75 % (8729)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)
% 0.57/0.75 % (8728)First to succeed.
% 0.57/0.75 % (8727)Refutation not found, incomplete strategy% (8727)------------------------------
% 0.57/0.75 % (8727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (8727)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (8727)Memory used [KB]: 1050
% 0.57/0.75 % (8727)Time elapsed: 0.003 s
% 0.57/0.75 % (8727)Instructions burned: 3 (million)
% 0.57/0.75 % (8727)------------------------------
% 0.57/0.75 % (8727)------------------------------
% 0.57/0.75 % (8723)Also succeeded, but the first one will report.
% 0.57/0.75 % (8736)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)
% 0.57/0.75 % (8728)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (8728)------------------------------
% 0.57/0.75 % (8728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (8728)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (8728)Memory used [KB]: 986
% 0.57/0.75 % (8728)Time elapsed: 0.004 s
% 0.57/0.75 % (8728)Instructions burned: 4 (million)
% 0.57/0.75 % (8728)------------------------------
% 0.57/0.75 % (8728)------------------------------
% 0.57/0.75 % (8609)Success in time 0.383 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------