TSTP Solution File: SEU250+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU250+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 : n008.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 09:21:30 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 4 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 40 ~; 38 |; 17 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 44 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,plain,
$false,
inference(avatar_sat_refutation,[],[f76,f86,f95]) ).
fof(f95,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f91,f88]) ).
fof(f88,plain,
( ~ in(sK2(relation_field(relation_restriction(sK1,sK0)),sK0),sK0)
| spl3_2 ),
inference(resolution,[],[f75,f66]) ).
fof(f66,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ofEr8u5VxW/Vampire---4.8_21892',d3_tarski) ).
fof(f75,plain,
( ~ subset(relation_field(relation_restriction(sK1,sK0)),sK0)
| spl3_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl3_2
<=> subset(relation_field(relation_restriction(sK1,sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f91,plain,
( in(sK2(relation_field(relation_restriction(sK1,sK0)),sK0),sK0)
| spl3_2 ),
inference(resolution,[],[f87,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ in(X0,relation_field(relation_restriction(sK1,X1)))
| in(X0,X1) ),
inference(resolution,[],[f58,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ofEr8u5VxW/Vampire---4.8_21892',t19_wellord1) ).
fof(f58,plain,
relation(sK1),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( ~ subset(relation_field(relation_restriction(sK1,sK0)),sK0)
| ~ subset(relation_field(relation_restriction(sK1,sK0)),relation_field(sK1)) )
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f46,f52]) ).
fof(f52,plain,
( ? [X0,X1] :
( ( ~ subset(relation_field(relation_restriction(X1,X0)),X0)
| ~ subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) )
& relation(X1) )
=> ( ( ~ subset(relation_field(relation_restriction(sK1,sK0)),sK0)
| ~ subset(relation_field(relation_restriction(sK1,sK0)),relation_field(sK1)) )
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1] :
( ( ~ subset(relation_field(relation_restriction(X1,X0)),X0)
| ~ subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) )
& relation(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),X0)
& subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),X0)
& subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ofEr8u5VxW/Vampire---4.8_21892',t20_wellord1) ).
fof(f87,plain,
( in(sK2(relation_field(relation_restriction(sK1,sK0)),sK0),relation_field(relation_restriction(sK1,sK0)))
| spl3_2 ),
inference(resolution,[],[f75,f65]) ).
fof(f65,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f86,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f81,f80]) ).
fof(f80,plain,
( ~ in(sK2(relation_field(relation_restriction(sK1,sK0)),relation_field(sK1)),relation_field(sK1))
| spl3_1 ),
inference(resolution,[],[f71,f66]) ).
fof(f71,plain,
( ~ subset(relation_field(relation_restriction(sK1,sK0)),relation_field(sK1))
| spl3_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl3_1
<=> subset(relation_field(relation_restriction(sK1,sK0)),relation_field(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f81,plain,
( in(sK2(relation_field(relation_restriction(sK1,sK0)),relation_field(sK1)),relation_field(sK1))
| spl3_1 ),
inference(resolution,[],[f79,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ in(X0,relation_field(relation_restriction(sK1,X1)))
| in(X0,relation_field(sK1)) ),
inference(resolution,[],[f58,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,relation_field(X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f79,plain,
( in(sK2(relation_field(relation_restriction(sK1,sK0)),relation_field(sK1)),relation_field(relation_restriction(sK1,sK0)))
| spl3_1 ),
inference(resolution,[],[f71,f65]) ).
fof(f76,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f59,f73,f69]) ).
fof(f59,plain,
( ~ subset(relation_field(relation_restriction(sK1,sK0)),sK0)
| ~ subset(relation_field(relation_restriction(sK1,sK0)),relation_field(sK1)) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU250+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.16/0.36 % Computer : n008.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 : Fri May 3 11:48:42 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ 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.ofEr8u5VxW/Vampire---4.8_21892
% 0.55/0.75 % (22290)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)
% 0.55/0.75 % (22282)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)
% 0.55/0.75 % (22284)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (22285)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)
% 0.55/0.75 % (22283)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)
% 0.55/0.75 % (22287)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)
% 0.55/0.75 % (22288)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)
% 0.55/0.75 % (22290)First to succeed.
% 0.55/0.75 % (22289)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)
% 0.55/0.75 % (22290)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22109"
% 0.55/0.75 % (22288)Refutation not found, incomplete strategy% (22288)------------------------------
% 0.55/0.75 % (22288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (22290)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (22290)------------------------------
% 0.55/0.75 % (22290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (22290)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (22290)Memory used [KB]: 993
% 0.55/0.75 % (22290)Time elapsed: 0.003 s
% 0.55/0.75 % (22290)Instructions burned: 4 (million)
% 0.55/0.75 % (22109)Success in time 0.378 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------