TSTP Solution File: SET578+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET578+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 : Wed May 1 03:48:06 EDT 2024
% Result : Theorem 0.42s 0.61s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 3 unt; 0 def)
% Number of atoms : 197 ( 19 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 229 ( 89 ~; 90 |; 35 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 59 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f51,f58,f68,f71,f74]) ).
fof(f74,plain,
( ~ spl5_1
| spl5_4 ),
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| ~ spl5_1
| spl5_4 ),
inference(subsumption_resolution,[],[f72,f45]) ).
fof(f45,plain,
( member(sK3(sK0,intersection(sK1,sK2)),sK0)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl5_1
<=> member(sK3(sK0,intersection(sK1,sK2)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f72,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),sK0)
| spl5_4 ),
inference(resolution,[],[f67,f21]) ).
fof(f21,plain,
! [X3] :
( member(X3,sK2)
| ~ member(X3,sK0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( sK0 != intersection(sK1,sK2)
& ! [X3] :
( ( member(X3,sK0)
| ~ member(X3,sK2)
| ~ member(X3,sK1) )
& ( ( member(X3,sK2)
& member(X3,sK1) )
| ~ member(X3,sK0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f11,f12]) ).
fof(f12,plain,
( ? [X0,X1,X2] :
( intersection(X1,X2) != X0
& ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X2)
| ~ member(X3,X1) )
& ( ( member(X3,X2)
& member(X3,X1) )
| ~ member(X3,X0) ) ) )
=> ( sK0 != intersection(sK1,sK2)
& ! [X3] :
( ( member(X3,sK0)
| ~ member(X3,sK2)
| ~ member(X3,sK1) )
& ( ( member(X3,sK2)
& member(X3,sK1) )
| ~ member(X3,sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1,X2] :
( intersection(X1,X2) != X0
& ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X2)
| ~ member(X3,X1) )
& ( ( member(X3,X2)
& member(X3,X1) )
| ~ member(X3,X0) ) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0,X1,X2] :
( intersection(X1,X2) != X0
& ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X2)
| ~ member(X3,X1) )
& ( ( member(X3,X2)
& member(X3,X1) )
| ~ member(X3,X0) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
? [X0,X1,X2] :
( intersection(X1,X2) != X0
& ! [X3] :
( member(X3,X0)
<=> ( member(X3,X2)
& member(X3,X1) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3] :
( member(X3,X0)
<=> ( member(X3,X2)
& member(X3,X1) ) )
=> intersection(X1,X2) = X0 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1,X2] :
( ! [X3] :
( member(X3,X0)
<=> ( member(X3,X2)
& member(X3,X1) ) )
=> intersection(X1,X2) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.8UlfbeCbUt/Vampire---4.8_19628',prove_th19) ).
fof(f67,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),sK2)
| spl5_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl5_4
<=> member(sK3(sK0,intersection(sK1,sK2)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f71,plain,
( ~ spl5_1
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| ~ spl5_1
| spl5_3 ),
inference(subsumption_resolution,[],[f69,f45]) ).
fof(f69,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),sK0)
| spl5_3 ),
inference(resolution,[],[f63,f20]) ).
fof(f20,plain,
! [X3] :
( member(X3,sK1)
| ~ member(X3,sK0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f63,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),sK1)
| spl5_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl5_3
<=> member(sK3(sK0,intersection(sK1,sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f68,plain,
( ~ spl5_3
| ~ spl5_4
| spl5_2 ),
inference(avatar_split_clause,[],[f59,f47,f65,f61]) ).
fof(f47,plain,
( spl5_2
<=> member(sK3(sK0,intersection(sK1,sK2)),intersection(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f59,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),sK2)
| ~ member(sK3(sK0,intersection(sK1,sK2)),sK1)
| spl5_2 ),
inference(resolution,[],[f48,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.8UlfbeCbUt/Vampire---4.8_19628',intersection_defn) ).
fof(f48,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),intersection(sK1,sK2))
| spl5_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f58,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f56,f53]) ).
fof(f53,plain,
( member(sK3(sK0,intersection(sK1,sK2)),sK1)
| ~ spl5_2 ),
inference(resolution,[],[f49,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
( member(sK3(sK0,intersection(sK1,sK2)),intersection(sK1,sK2))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f56,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),sK1)
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f55,f44]) ).
fof(f44,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),sK0)
| spl5_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f55,plain,
( member(sK3(sK0,intersection(sK1,sK2)),sK0)
| ~ member(sK3(sK0,intersection(sK1,sK2)),sK1)
| ~ spl5_2 ),
inference(resolution,[],[f54,f22]) ).
fof(f22,plain,
! [X3] :
( ~ member(X3,sK2)
| member(X3,sK0)
| ~ member(X3,sK1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f54,plain,
( member(sK3(sK0,intersection(sK1,sK2)),sK2)
| ~ spl5_2 ),
inference(resolution,[],[f49,f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f51,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f41,f47,f43]) ).
fof(f41,plain,
( ~ member(sK3(sK0,intersection(sK1,sK2)),intersection(sK1,sK2))
| ~ member(sK3(sK0,intersection(sK1,sK2)),sK0) ),
inference(resolution,[],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f27,f34]) ).
fof(f34,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(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,[sK3])],[f15,f16]) ).
fof(f16,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,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,[],[f14]) ).
fof(f14,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,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.8UlfbeCbUt/Vampire---4.8_19628',equal_member_defn) ).
fof(f35,plain,
~ sQ4_eqProxy(sK0,intersection(sK1,sK2)),
inference(equality_proxy_replacement,[],[f23,f34]) ).
fof(f23,plain,
sK0 != intersection(sK1,sK2),
inference(cnf_transformation,[],[f13]) ).
fof(f50,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f40,f47,f43]) ).
fof(f40,plain,
( member(sK3(sK0,intersection(sK1,sK2)),intersection(sK1,sK2))
| member(sK3(sK0,intersection(sK1,sK2)),sK0) ),
inference(resolution,[],[f35,f37]) ).
fof(f37,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f26,f34]) ).
fof(f26,plain,
! [X0,X1] :
( X0 = X1
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SET578+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Apr 30 17:21:06 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.29 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.8UlfbeCbUt/Vampire---4.8_19628
% 0.42/0.60 % (19872)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.42/0.60 % (19876)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 (2997ds/83Mi)
% 0.42/0.60 % (19870)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 (2997ds/34Mi)
% 0.42/0.60 % (19871)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 (2997ds/51Mi)
% 0.42/0.60 % (19875)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.42/0.60 % (19873)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.42/0.60 % (19877)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 (2997ds/56Mi)
% 0.42/0.60 % (19874)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 (2997ds/34Mi)
% 0.42/0.60 % (19875)Refutation not found, incomplete strategy% (19875)------------------------------
% 0.42/0.60 % (19875)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.42/0.60 % (19873)Refutation not found, incomplete strategy% (19873)------------------------------
% 0.42/0.60 % (19873)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.42/0.60 % (19873)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.60
% 0.42/0.60 % (19873)Memory used [KB]: 969
% 0.42/0.60 % (19873)Time elapsed: 0.004 s
% 0.42/0.60 % (19873)Instructions burned: 2 (million)
% 0.42/0.60 % (19873)------------------------------
% 0.42/0.60 % (19873)------------------------------
% 0.42/0.60 % (19875)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.60
% 0.42/0.60 % (19875)Memory used [KB]: 968
% 0.42/0.60 % (19875)Time elapsed: 0.004 s
% 0.42/0.60 % (19875)Instructions burned: 3 (million)
% 0.42/0.60 % (19875)------------------------------
% 0.42/0.60 % (19875)------------------------------
% 0.42/0.60 % (19877)First to succeed.
% 0.42/0.60 % (19874)Also succeeded, but the first one will report.
% 0.42/0.60 % (19870)Also succeeded, but the first one will report.
% 0.42/0.61 % (19877)Refutation found. Thanks to Tanya!
% 0.42/0.61 % SZS status Theorem for Vampire---4
% 0.42/0.61 % SZS output start Proof for Vampire---4
% See solution above
% 0.42/0.61 % (19877)------------------------------
% 0.42/0.61 % (19877)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.42/0.61 % (19877)Termination reason: Refutation
% 0.42/0.61
% 0.42/0.61 % (19877)Memory used [KB]: 989
% 0.42/0.61 % (19877)Time elapsed: 0.005 s
% 0.42/0.61 % (19877)Instructions burned: 4 (million)
% 0.42/0.61 % (19877)------------------------------
% 0.42/0.61 % (19877)------------------------------
% 0.42/0.61 % (19866)Success in time 0.301 s
% 0.42/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------