TSTP Solution File: SEU263+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : Wed May 1 03:51:17 EDT 2024
% Result : Theorem 0.60s 0.75s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 8 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 49 ~; 39 |; 16 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 90 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f98,f117]) ).
fof(f117,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| spl7_2 ),
inference(resolution,[],[f110,f44]) ).
fof(f44,plain,
relation_of2_as_subset(sK3,sK2,sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ~ relation_of2_as_subset(sK3,sK2,sK1)
& subset(relation_rng(sK3),sK1)
& relation_of2_as_subset(sK3,sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f24,f33]) ).
fof(f33,plain,
( ? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) )
=> ( ~ relation_of2_as_subset(sK3,sK2,sK1)
& subset(relation_rng(sK3),sK1)
& relation_of2_as_subset(sK3,sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',t14_relset_1) ).
fof(f110,plain,
( ! [X0] : ~ relation_of2_as_subset(sK3,sK2,X0)
| spl7_2 ),
inference(resolution,[],[f107,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( subset(relation_dom(X2),X0)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',t12_relset_1) ).
fof(f107,plain,
( ~ subset(relation_dom(sK3),sK2)
| spl7_2 ),
inference(subsumption_resolution,[],[f103,f45]) ).
fof(f45,plain,
subset(relation_rng(sK3),sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f103,plain,
( ~ subset(relation_rng(sK3),sK1)
| ~ subset(relation_dom(sK3),sK2)
| spl7_2 ),
inference(resolution,[],[f84,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',t119_zfmisc_1) ).
fof(f84,plain,
( ~ subset(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),cartesian_product2(sK2,sK1))
| spl7_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl7_2
<=> subset(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),cartesian_product2(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f98,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| spl7_1 ),
inference(resolution,[],[f89,f44]) ).
fof(f89,plain,
( ! [X0,X1] : ~ relation_of2_as_subset(sK3,X0,X1)
| spl7_1 ),
inference(resolution,[],[f86,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',dt_m2_relset_1) ).
fof(f86,plain,
( ! [X0,X1] : ~ element(sK3,powerset(cartesian_product2(X0,X1)))
| spl7_1 ),
inference(resolution,[],[f80,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',cc1_relset_1) ).
fof(f80,plain,
( ~ relation(sK3)
| spl7_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl7_1
<=> relation(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f85,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f75,f82,f78]) ).
fof(f75,plain,
( ~ subset(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),cartesian_product2(sK2,sK1))
| ~ relation(sK3) ),
inference(resolution,[],[f68,f47]) ).
fof(f47,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',t21_relat_1) ).
fof(f68,plain,
! [X0] :
( ~ subset(sK3,X0)
| ~ subset(X0,cartesian_product2(sK2,sK1)) ),
inference(resolution,[],[f66,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',t1_xboole_1) ).
fof(f66,plain,
~ subset(sK3,cartesian_product2(sK2,sK1)),
inference(resolution,[],[f56,f64]) ).
fof(f64,plain,
~ relation_of2(sK3,sK2,sK1),
inference(resolution,[],[f58,f46]) ).
fof(f46,plain,
~ relation_of2_as_subset(sK3,sK2,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',redefinition_m2_relset_1) ).
fof(f56,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ subset(X2,cartesian_product2(X0,X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( relation_of2(X2,X0,X1)
| ~ subset(X2,cartesian_product2(X0,X1)) )
& ( subset(X2,cartesian_product2(X0,X1))
| ~ relation_of2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
<=> subset(X2,cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.TsCzkog5wx/Vampire---4.8_14718',d1_relset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.15 % 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
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 16:17:41 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37 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.TsCzkog5wx/Vampire---4.8_14718
% 0.60/0.74 % (15062)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)
% 0.60/0.74 % (15062)Refutation not found, incomplete strategy% (15062)------------------------------
% 0.60/0.74 % (15062)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.74 % (15062)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74
% 0.60/0.74 % (15062)Memory used [KB]: 965
% 0.60/0.74 % (15062)Time elapsed: 0.002 s
% 0.60/0.74 % (15062)Instructions burned: 2 (million)
% 0.60/0.74 % (15062)------------------------------
% 0.60/0.74 % (15062)------------------------------
% 0.60/0.74 % (15055)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)
% 0.60/0.74 % (15057)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.74 % (15058)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)
% 0.60/0.74 % (15059)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)
% 0.60/0.74 % (15060)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)
% 0.60/0.74 % (15061)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)
% 0.60/0.74 % (15056)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)
% 0.60/0.74 % (15058)Refutation not found, incomplete strategy% (15058)------------------------------
% 0.60/0.74 % (15058)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.74 % (15060)Refutation not found, incomplete strategy% (15060)------------------------------
% 0.60/0.74 % (15060)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.74 % (15060)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74
% 0.60/0.74 % (15060)Memory used [KB]: 965
% 0.60/0.74 % (15060)Time elapsed: 0.002 s
% 0.60/0.74 % (15060)Instructions burned: 2 (million)
% 0.60/0.74 % (15060)------------------------------
% 0.60/0.74 % (15060)------------------------------
% 0.60/0.74 % (15058)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74
% 0.60/0.74 % (15058)Memory used [KB]: 966
% 0.60/0.74 % (15058)Time elapsed: 0.003 s
% 0.60/0.75 % (15058)Instructions burned: 2 (million)
% 0.60/0.75 % (15058)------------------------------
% 0.60/0.75 % (15058)------------------------------
% 0.60/0.75 % (15063)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)
% 0.60/0.75 % (15057)First to succeed.
% 0.60/0.75 % (15057)Refutation found. Thanks to Tanya!
% 0.60/0.75 % SZS status Theorem for Vampire---4
% 0.60/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.75 % (15057)------------------------------
% 0.60/0.75 % (15057)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (15057)Termination reason: Refutation
% 0.60/0.75
% 0.60/0.75 % (15057)Memory used [KB]: 1061
% 0.60/0.75 % (15057)Time elapsed: 0.005 s
% 0.60/0.75 % (15057)Instructions burned: 5 (million)
% 0.60/0.75 % (15057)------------------------------
% 0.60/0.75 % (15057)------------------------------
% 0.60/0.75 % (14898)Success in time 0.374 s
% 0.60/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------