TSTP Solution File: SEU177+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU177+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 : 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 09:20:46 EDT 2024
% Result : Theorem 0.64s 0.85s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 7 unt; 0 def)
% Number of atoms : 171 ( 18 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 204 ( 74 ~; 73 |; 34 &)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 82 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,plain,
$false,
inference(avatar_sat_refutation,[],[f93,f101,f106]) ).
fof(f106,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| spl13_1 ),
inference(subsumption_resolution,[],[f104,f88]) ).
fof(f88,plain,
( ~ in(sK0,relation_dom(sK2))
| spl13_1 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl13_1
<=> in(sK0,relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f104,plain,
in(sK0,relation_dom(sK2)),
inference(resolution,[],[f97,f56]) ).
fof(f56,plain,
in(ordered_pair(sK0,sK1),sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( ~ in(sK1,relation_rng(sK2))
| ~ in(sK0,relation_dom(sK2)) )
& in(ordered_pair(sK0,sK1),sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f29,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ( ~ in(X1,relation_rng(X2))
| ~ in(X0,relation_dom(X2)) )
& in(ordered_pair(X0,X1),X2)
& relation(X2) )
=> ( ( ~ in(sK1,relation_rng(sK2))
| ~ in(sK0,relation_dom(sK2)) )
& in(ordered_pair(sK0,sK1),sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_rng(X2))
| ~ in(X0,relation_dom(X2)) )
& in(ordered_pair(X0,X1),X2)
& relation(X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_rng(X2))
| ~ in(X0,relation_dom(X2)) )
& in(ordered_pair(X0,X1),X2)
& relation(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zDHemMWDYe/Vampire---4.8_13155',t20_relat_1) ).
fof(f97,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK2)
| in(X0,relation_dom(sK2)) ),
inference(resolution,[],[f55,f74]) ).
fof(f74,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0)) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK6(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f40,f43,f42,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
| ~ in(sK4(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK4(X0,X1),X4),X0)
| in(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK4(X0,X1),X4),X0)
=> in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK6(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zDHemMWDYe/Vampire---4.8_13155',d4_relat_1) ).
fof(f55,plain,
relation(sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f101,plain,
spl13_2,
inference(avatar_split_clause,[],[f100,f90]) ).
fof(f90,plain,
( spl13_2
<=> in(sK1,relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f100,plain,
in(sK1,relation_rng(sK2)),
inference(resolution,[],[f95,f56]) ).
fof(f95,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK2)
| in(X1,relation_rng(sK2)) ),
inference(resolution,[],[f55,f76]) ).
fof(f76,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0)) ),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f46,f49,f48,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK7(X0,X1)),X0)
=> in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK9(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zDHemMWDYe/Vampire---4.8_13155',d5_relat_1) ).
fof(f93,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f57,f90,f86]) ).
fof(f57,plain,
( ~ in(sK1,relation_rng(sK2))
| ~ in(sK0,relation_dom(sK2)) ),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SEU177+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14 % 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:01:55 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.zDHemMWDYe/Vampire---4.8_13155
% 0.64/0.85 % (13402)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)
% 0.64/0.85 % (13398)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)
% 0.64/0.85 % (13403)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)
% 0.64/0.85 % (13401)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)
% 0.64/0.85 % (13399)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)
% 0.64/0.85 % (13405)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)
% 0.64/0.85 % (13404)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)
% 0.64/0.85 % (13400)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.85 % (13402)Also succeeded, but the first one will report.
% 0.64/0.85 % (13403)Also succeeded, but the first one will report.
% 0.64/0.85 % (13405)First to succeed.
% 0.64/0.85 % (13398)Also succeeded, but the first one will report.
% 0.64/0.85 % (13401)Also succeeded, but the first one will report.
% 0.64/0.85 % (13405)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13370"
% 0.64/0.85 % (13404)Also succeeded, but the first one will report.
% 0.64/0.85 % (13399)Also succeeded, but the first one will report.
% 0.64/0.85 % (13405)Refutation found. Thanks to Tanya!
% 0.64/0.85 % SZS status Theorem for Vampire---4
% 0.64/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.85 % (13405)------------------------------
% 0.64/0.85 % (13405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.85 % (13405)Termination reason: Refutation
% 0.64/0.85
% 0.64/0.85 % (13405)Memory used [KB]: 1053
% 0.64/0.85 % (13405)Time elapsed: 0.005 s
% 0.64/0.85 % (13405)Instructions burned: 5 (million)
% 0.64/0.85 % (13370)Success in time 0.493 s
% 0.64/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------