TSTP Solution File: SET012+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET012+4 : TPTP v8.1.2. Released v2.2.0.
% 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 : 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 09:02:45 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 4 unt; 0 def)
% Number of atoms : 154 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 156 ( 61 ~; 59 |; 20 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 69 ( 62 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f56,f70,f73,f77]) ).
fof(f77,plain,
( spl3_2
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl3_2
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f75,f58]) ).
fof(f58,plain,
( member(sK2(sK0,difference(sK1,difference(sK1,sK0))),sK0)
| spl3_2 ),
inference(resolution,[],[f47,f32]) ).
fof(f32,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.gMZ9AzULk7/Vampire---4.8_14624',subset) ).
fof(f47,plain,
( ~ subset(sK0,difference(sK1,difference(sK1,sK0)))
| spl3_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl3_2
<=> subset(sK0,difference(sK1,difference(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f75,plain,
( ~ member(sK2(sK0,difference(sK1,difference(sK1,sK0))),sK0)
| ~ spl3_4 ),
inference(resolution,[],[f69,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( ~ member(X0,X1)
& member(X0,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X3] :
( member(X1,difference(X3,X0))
<=> ( ~ member(X1,X0)
& member(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.gMZ9AzULk7/Vampire---4.8_14624',difference) ).
fof(f69,plain,
( member(sK2(sK0,difference(sK1,difference(sK1,sK0))),difference(sK1,sK0))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl3_4
<=> member(sK2(sK0,difference(sK1,difference(sK1,sK0))),difference(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f73,plain,
( spl3_2
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f72,plain,
( $false
| spl3_2
| spl3_3 ),
inference(subsumption_resolution,[],[f71,f58]) ).
fof(f71,plain,
( ~ member(sK2(sK0,difference(sK1,difference(sK1,sK0))),sK0)
| spl3_3 ),
inference(resolution,[],[f65,f38]) ).
fof(f38,plain,
! [X0] :
( member(X0,sK1)
| ~ member(X0,sK0) ),
inference(resolution,[],[f29,f31]) ).
fof(f31,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f29,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ~ equal_set(difference(sK1,difference(sK1,sK0)),sK0)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f21]) ).
fof(f21,plain,
( ? [X0,X1] :
( ~ equal_set(difference(X1,difference(X1,X0)),X0)
& subset(X0,X1) )
=> ( ~ equal_set(difference(sK1,difference(sK1,sK0)),sK0)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1] :
( ~ equal_set(difference(X1,difference(X1,X0)),X0)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1] :
( subset(X0,X1)
=> equal_set(difference(X1,difference(X1,X0)),X0) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X3] :
( subset(X0,X3)
=> equal_set(difference(X3,difference(X3,X0)),X0) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X3] :
( subset(X0,X3)
=> equal_set(difference(X3,difference(X3,X0)),X0) ),
file('/export/starexec/sandbox/tmp/tmp.gMZ9AzULk7/Vampire---4.8_14624',thI23) ).
fof(f65,plain,
( ~ member(sK2(sK0,difference(sK1,difference(sK1,sK0))),sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl3_3
<=> member(sK2(sK0,difference(sK1,difference(sK1,sK0))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f70,plain,
( ~ spl3_3
| spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f61,f45,f67,f63]) ).
fof(f61,plain,
( member(sK2(sK0,difference(sK1,difference(sK1,sK0))),difference(sK1,sK0))
| ~ member(sK2(sK0,difference(sK1,difference(sK1,sK0))),sK1)
| spl3_2 ),
inference(resolution,[],[f59,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
( ~ member(sK2(sK0,difference(sK1,difference(sK1,sK0))),difference(sK1,difference(sK1,sK0)))
| spl3_2 ),
inference(resolution,[],[f47,f33]) ).
fof(f33,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f55,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f54,f51]) ).
fof(f51,plain,
( member(sK2(difference(sK1,difference(sK1,sK0)),sK0),sK1)
| spl3_1 ),
inference(resolution,[],[f49,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f49,plain,
( member(sK2(difference(sK1,difference(sK1,sK0)),sK0),difference(sK1,difference(sK1,sK0)))
| spl3_1 ),
inference(resolution,[],[f43,f32]) ).
fof(f43,plain,
( ~ subset(difference(sK1,difference(sK1,sK0)),sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl3_1
<=> subset(difference(sK1,difference(sK1,sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f54,plain,
( ~ member(sK2(difference(sK1,difference(sK1,sK0)),sK0),sK1)
| spl3_1 ),
inference(subsumption_resolution,[],[f53,f50]) ).
fof(f50,plain,
( ~ member(sK2(difference(sK1,difference(sK1,sK0)),sK0),sK0)
| spl3_1 ),
inference(resolution,[],[f43,f33]) ).
fof(f53,plain,
( member(sK2(difference(sK1,difference(sK1,sK0)),sK0),sK0)
| ~ member(sK2(difference(sK1,difference(sK1,sK0)),sK0),sK1)
| spl3_1 ),
inference(resolution,[],[f52,f37]) ).
fof(f52,plain,
( ~ member(sK2(difference(sK1,difference(sK1,sK0)),sK0),difference(sK1,sK0))
| spl3_1 ),
inference(resolution,[],[f49,f36]) ).
fof(f48,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f39,f45,f41]) ).
fof(f39,plain,
( ~ subset(sK0,difference(sK1,difference(sK1,sK0)))
| ~ subset(difference(sK1,difference(sK1,sK0)),sK0) ),
inference(resolution,[],[f30,f34]) ).
fof(f34,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.gMZ9AzULk7/Vampire---4.8_14624',equal_set) ).
fof(f30,plain,
~ equal_set(difference(sK1,difference(sK1,sK0)),sK0),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET012+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % 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
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 16:21:07 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.gMZ9AzULk7/Vampire---4.8_14624
% 0.56/0.74 % (14736)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)
% 0.56/0.74 % (14733)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)
% 0.56/0.74 % (14734)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)
% 0.56/0.74 % (14737)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)
% 0.56/0.74 % (14738)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)
% 0.56/0.74 % (14739)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)
% 0.56/0.74 % (14735)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.74 % (14740)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)
% 0.56/0.74 % (14738)Refutation not found, incomplete strategy% (14738)------------------------------
% 0.56/0.74 % (14738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (14738)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (14738)Memory used [KB]: 964
% 0.56/0.74 % (14738)Time elapsed: 0.002 s
% 0.56/0.74 % (14738)Instructions burned: 2 (million)
% 0.56/0.74 % (14737)Refutation not found, incomplete strategy% (14737)------------------------------
% 0.56/0.74 % (14737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (14737)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (14737)Memory used [KB]: 1036
% 0.56/0.74 % (14737)Time elapsed: 0.002 s
% 0.56/0.74 % (14737)Instructions burned: 3 (million)
% 0.56/0.74 % (14738)------------------------------
% 0.56/0.74 % (14738)------------------------------
% 0.56/0.74 % (14737)------------------------------
% 0.56/0.74 % (14737)------------------------------
% 0.56/0.74 % (14740)First to succeed.
% 0.56/0.74 % (14739)Also succeeded, but the first one will report.
% 0.56/0.74 % (14736)Also succeeded, but the first one will report.
% 0.56/0.74 % (14740)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14732"
% 0.56/0.74 % (14740)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (14740)------------------------------
% 0.56/0.74 % (14740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (14740)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (14740)Memory used [KB]: 1000
% 0.56/0.74 % (14740)Time elapsed: 0.004 s
% 0.56/0.74 % (14740)Instructions burned: 4 (million)
% 0.56/0.74 % (14732)Success in time 0.41 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------