TSTP Solution File: SET607+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET607+3 : 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 : 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 09:07:32 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 7 unt; 0 def)
% Number of atoms : 177 ( 17 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 192 ( 74 ~; 87 |; 20 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 61 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f52,f60,f70,f75,f79]) ).
fof(f79,plain,
( spl4_2
| ~ spl4_3
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| spl4_2
| ~ spl4_3
| spl4_4 ),
inference(subsumption_resolution,[],[f77,f65]) ).
fof(f65,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl4_3
<=> member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f77,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK1)
| spl4_2
| spl4_4 ),
inference(subsumption_resolution,[],[f76,f68]) ).
fof(f68,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK0)
| spl4_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl4_4
<=> member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f76,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK0)
| ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK1)
| spl4_2 ),
inference(resolution,[],[f72,f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PyIUdCBeBM/Vampire---4.8_8788',difference_defn) ).
fof(f72,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),difference(sK1,sK0))
| spl4_2 ),
inference(resolution,[],[f49,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PyIUdCBeBM/Vampire---4.8_8788',union_defn) ).
fof(f49,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0)))
| spl4_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl4_2
<=> member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f75,plain,
( ~ spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f71,f48,f67]) ).
fof(f71,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK0)
| spl4_2 ),
inference(resolution,[],[f49,f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f70,plain,
( spl4_3
| spl4_4
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f61,f44,f67,f63]) ).
fof(f44,plain,
( spl4_1
<=> member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f61,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK0)
| member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK1)
| ~ spl4_1 ),
inference(resolution,[],[f46,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f46,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,sK1))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f60,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f57,f54]) ).
fof(f54,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK1)
| spl4_1 ),
inference(resolution,[],[f45,f29]) ).
fof(f45,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,sK1))
| spl4_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f57,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK1)
| spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f56,f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f56,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),difference(sK1,sK0))
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f55,f53]) ).
fof(f53,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK0)
| spl4_1 ),
inference(resolution,[],[f45,f28]) ).
fof(f55,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),sK0)
| member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),difference(sK1,sK0))
| ~ spl4_2 ),
inference(resolution,[],[f50,f27]) ).
fof(f50,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0)))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f42,f48,f44]) ).
fof(f42,plain,
( ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0)))
| ~ member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,sK1)) ),
inference(resolution,[],[f36,f37]) ).
fof(f37,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
| ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f25,f35]) ).
fof(f35,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
fof(f25,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f14,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PyIUdCBeBM/Vampire---4.8_8788',equal_member_defn) ).
fof(f36,plain,
~ sQ3_eqProxy(union(sK0,sK1),union(sK0,difference(sK1,sK0))),
inference(equality_proxy_replacement,[],[f21,f35]) ).
fof(f21,plain,
union(sK0,sK1) != union(sK0,difference(sK1,sK0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
union(sK0,sK1) != union(sK0,difference(sK1,sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11]) ).
fof(f11,plain,
( ? [X0,X1] : union(X0,X1) != union(X0,difference(X1,X0))
=> union(sK0,sK1) != union(sK0,difference(sK1,sK0)) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1] : union(X0,X1) != union(X0,difference(X1,X0)),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] : union(X0,X1) = union(X0,difference(X1,X0)),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1] : union(X0,X1) = union(X0,difference(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.PyIUdCBeBM/Vampire---4.8_8788',prove_th79) ).
fof(f51,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f41,f48,f44]) ).
fof(f41,plain,
( member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0)))
| member(sK2(union(sK0,sK1),union(sK0,difference(sK1,sK0))),union(sK0,sK1)) ),
inference(resolution,[],[f36,f38]) ).
fof(f38,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
| member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f24,f35]) ).
fof(f24,plain,
! [X0,X1] :
( X0 = X1
| member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET607+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.10 % 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
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 16:43:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.PyIUdCBeBM/Vampire---4.8_8788
% 0.60/0.76 % (8898)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)
% 0.60/0.76 % (8902)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)
% 0.60/0.76 % (8897)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)
% 0.60/0.76 % (8899)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.76 % (8903)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)
% 0.60/0.76 % (8900)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)
% 0.60/0.76 % (8901)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)
% 0.60/0.76 % (8904)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)
% 0.60/0.77 % (8902)Refutation not found, incomplete strategy% (8902)------------------------------
% 0.60/0.77 % (8902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (8902)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (8902)Memory used [KB]: 954
% 0.60/0.77 % (8902)Time elapsed: 0.002 s
% 0.60/0.77 % (8902)Instructions burned: 2 (million)
% 0.60/0.77 % (8903)Refutation not found, incomplete strategy% (8903)------------------------------
% 0.60/0.77 % (8903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (8903)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (8903)Memory used [KB]: 955
% 0.60/0.77 % (8903)Time elapsed: 0.002 s
% 0.60/0.77 % (8900)Refutation not found, incomplete strategy% (8900)------------------------------
% 0.60/0.77 % (8900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (8903)Instructions burned: 3 (million)
% 0.60/0.77 % (8900)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (8900)Memory used [KB]: 971
% 0.60/0.77 % (8900)Time elapsed: 0.003 s
% 0.60/0.77 % (8900)Instructions burned: 3 (million)
% 0.60/0.77 % (8902)------------------------------
% 0.60/0.77 % (8902)------------------------------
% 0.60/0.77 % (8903)------------------------------
% 0.60/0.77 % (8903)------------------------------
% 0.60/0.77 % (8900)------------------------------
% 0.60/0.77 % (8900)------------------------------
% 0.60/0.77 % (8904)First to succeed.
% 0.60/0.77 % (8901)Also succeeded, but the first one will report.
% 0.60/0.77 % (8904)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8896"
% 0.60/0.77 % (8904)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (8904)------------------------------
% 0.60/0.77 % (8904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (8904)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (8904)Memory used [KB]: 989
% 0.60/0.77 % (8904)Time elapsed: 0.004 s
% 0.60/0.77 % (8904)Instructions burned: 5 (million)
% 0.60/0.77 % (8896)Success in time 0.457 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------