TSTP Solution File: SET351+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET351+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 09:05:45 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 9 unt; 0 def)
% Number of atoms : 144 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 143 ( 54 ~; 54 |; 21 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 80 ( 70 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f78,f107]) ).
fof(f107,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f103,f83]) ).
fof(f83,plain,
( member(sK2(sK0,sum(singleton(sK0))),sK0)
| spl3_2 ),
inference(resolution,[],[f65,f47]) ).
fof(f47,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,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])],[f32,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f32,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,[],[f31]) ).
fof(f31,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,[],[f22]) ).
fof(f22,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/sandbox2/tmp/tmp.zjWIqHb0Xi/Vampire---4.8_12529',subset) ).
fof(f65,plain,
( ~ subset(sK0,sum(singleton(sK0)))
| spl3_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl3_2
<=> subset(sK0,sum(singleton(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f103,plain,
( ~ member(sK2(sK0,sum(singleton(sK0))),sK0)
| spl3_2 ),
inference(resolution,[],[f102,f52]) ).
fof(f52,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.zjWIqHb0Xi/Vampire---4.8_12529',singleton) ).
fof(f102,plain,
( ! [X0] :
( ~ member(X0,singleton(sK0))
| ~ member(sK2(sK0,sum(singleton(sK0))),X0) )
| spl3_2 ),
inference(resolution,[],[f75,f65]) ).
fof(f75,plain,
! [X2,X0,X1] :
( subset(X0,sum(X1))
| ~ member(X2,X1)
| ~ member(sK2(X0,sum(X1)),X2) ),
inference(resolution,[],[f43,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X0,sum(X1))
| ~ member(X0,X2)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X0,X2)
| ~ member(X2,X1) ) )
& ( ( member(X0,sK1(X0,X1))
& member(sK1(X0,X1),X1) )
| ~ member(X0,sum(X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X3] :
( member(X0,X3)
& member(X3,X1) )
=> ( member(X0,sK1(X0,X1))
& member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X0,X2)
| ~ member(X2,X1) ) )
& ( ? [X3] :
( member(X0,X3)
& member(X3,X1) )
| ~ member(X0,sum(X1)) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X0,X2)
| ~ member(X2,X1) ) )
& ( ? [X2] :
( member(X0,X2)
& member(X2,X1) )
| ~ member(X0,sum(X1)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( member(X0,sum(X1))
<=> ? [X2] :
( member(X0,X2)
& member(X2,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2,X0] :
( member(X2,sum(X0))
<=> ? [X4] :
( member(X2,X4)
& member(X4,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zjWIqHb0Xi/Vampire---4.8_12529',sum) ).
fof(f78,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f76,f61]) ).
fof(f61,plain,
( ~ subset(sum(singleton(sK0)),sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl3_1
<=> subset(sum(singleton(sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f76,plain,
( subset(sum(singleton(sK0)),sK0)
| spl3_1 ),
inference(resolution,[],[f73,f48]) ).
fof(f73,plain,
( member(sK2(sum(singleton(sK0)),sK0),sK0)
| spl3_1 ),
inference(subsumption_resolution,[],[f72,f67]) ).
fof(f67,plain,
( member(sK2(sum(singleton(sK0)),sK0),sum(singleton(sK0)))
| spl3_1 ),
inference(resolution,[],[f61,f47]) ).
fof(f72,plain,
( member(sK2(sum(singleton(sK0)),sK0),sK0)
| ~ member(sK2(sum(singleton(sK0)),sK0),sum(singleton(sK0)))
| spl3_1 ),
inference(superposition,[],[f42,f69]) ).
fof(f69,plain,
( sK0 = sK1(sK2(sum(singleton(sK0)),sK0),singleton(sK0))
| spl3_1 ),
inference(resolution,[],[f68,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f68,plain,
( member(sK1(sK2(sum(singleton(sK0)),sK0),singleton(sK0)),singleton(sK0))
| spl3_1 ),
inference(resolution,[],[f67,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ member(X0,sum(X1))
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f42,plain,
! [X0,X1] :
( member(X0,sK1(X0,X1))
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f66,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f57,f63,f59]) ).
fof(f57,plain,
( ~ subset(sK0,sum(singleton(sK0)))
| ~ subset(sum(singleton(sK0)),sK0) ),
inference(resolution,[],[f38,f37]) ).
fof(f37,plain,
~ equal_set(sum(singleton(sK0)),sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
~ equal_set(sum(singleton(sK0)),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f23]) ).
fof(f23,plain,
( ? [X0] : ~ equal_set(sum(singleton(X0)),X0)
=> ~ equal_set(sum(singleton(sK0)),sK0) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0] : ~ equal_set(sum(singleton(X0)),X0),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : equal_set(sum(singleton(X0)),X0),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : equal_set(sum(singleton(X0)),X0),
file('/export/starexec/sandbox2/tmp/tmp.zjWIqHb0Xi/Vampire---4.8_12529',thI39) ).
fof(f38,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,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/sandbox2/tmp/tmp.zjWIqHb0Xi/Vampire---4.8_12529',equal_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET351+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.15 % 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
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:59:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.zjWIqHb0Xi/Vampire---4.8_12529
% 0.55/0.74 % (12919)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)
% 0.55/0.74 % (12910)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)
% 0.55/0.74 % (12919)Refutation not found, incomplete strategy% (12919)------------------------------
% 0.55/0.74 % (12919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (12919)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (12919)Memory used [KB]: 979
% 0.55/0.74 % (12919)Time elapsed: 0.002 s
% 0.55/0.74 % (12919)Instructions burned: 2 (million)
% 0.55/0.74 % (12913)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (12916)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)
% 0.55/0.74 % (12911)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)
% 0.55/0.74 % (12915)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)
% 0.55/0.74 % (12919)------------------------------
% 0.55/0.74 % (12919)------------------------------
% 0.55/0.74 % (12917)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)
% 0.55/0.74 % (12918)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)
% 0.55/0.74 % (12910)Refutation not found, incomplete strategy% (12910)------------------------------
% 0.55/0.74 % (12910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (12910)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (12910)Memory used [KB]: 960
% 0.55/0.74 % (12910)Time elapsed: 0.003 s
% 0.55/0.74 % (12910)Instructions burned: 2 (million)
% 0.55/0.75 % (12910)------------------------------
% 0.55/0.75 % (12910)------------------------------
% 0.55/0.75 % (12917)Refutation not found, incomplete strategy% (12917)------------------------------
% 0.55/0.75 % (12917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (12917)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (12917)Memory used [KB]: 965
% 0.55/0.75 % (12917)Time elapsed: 0.003 s
% 0.55/0.75 % (12917)Instructions burned: 2 (million)
% 0.55/0.75 % (12916)Refutation not found, incomplete strategy% (12916)------------------------------
% 0.55/0.75 % (12916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (12916)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (12916)Memory used [KB]: 1036
% 0.55/0.75 % (12916)Time elapsed: 0.003 s
% 0.55/0.75 % (12916)Instructions burned: 3 (million)
% 0.55/0.75 % (12917)------------------------------
% 0.55/0.75 % (12917)------------------------------
% 0.55/0.75 % (12916)------------------------------
% 0.55/0.75 % (12916)------------------------------
% 0.55/0.75 % (12922)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)
% 0.55/0.75 % (12918)Also succeeded, but the first one will report.
% 0.55/0.75 % (12913)First to succeed.
% 0.55/0.75 % (12913)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12742"
% 0.55/0.75 % (12913)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 % (12913)------------------------------
% 0.55/0.75 % (12913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (12913)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (12913)Memory used [KB]: 1075
% 0.55/0.75 % (12913)Time elapsed: 0.006 s
% 0.55/0.75 % (12913)Instructions burned: 7 (million)
% 0.55/0.75 % (12742)Success in time 0.382 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------