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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 03:48:16 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% 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(f187,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f72,f125,f146,f162,f186]) ).
fof(f186,plain,
( spl5_2
| spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f185,plain,
( $false
| spl5_2
| spl5_5
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f184,f145]) ).
fof(f145,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK3)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl5_6
<=> member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f184,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK3)
| spl5_2
| spl5_5 ),
inference(subsumption_resolution,[],[f178,f140]) ).
fof(f140,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK2)
| spl5_5 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl5_5
<=> member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f178,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK2)
| ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK3)
| spl5_2 ),
inference(resolution,[],[f154,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,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,[],[f14]) ).
fof(f14,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/sandbox/tmp/tmp.YaaLJS2cog/Vampire---4.8_29564',difference_defn) ).
fof(f154,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),difference(sK3,sK2))
| spl5_2 ),
inference(resolution,[],[f69,f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,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,[],[f12]) ).
fof(f12,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/sandbox/tmp/tmp.YaaLJS2cog/Vampire---4.8_29564',union_defn) ).
fof(f69,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,difference(sK3,sK2)))
| spl5_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl5_2
<=> member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,difference(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f162,plain,
( ~ spl5_5
| spl5_2 ),
inference(avatar_split_clause,[],[f153,f68,f139]) ).
fof(f153,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK2)
| spl5_2 ),
inference(resolution,[],[f69,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f146,plain,
( spl5_5
| spl5_6
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f132,f64,f143,f139]) ).
fof(f64,plain,
( spl5_1
<=> member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f132,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK3)
| member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK2)
| ~ spl5_1 ),
inference(resolution,[],[f66,f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f66,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,sK3))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f125,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f124,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f117,f86]) ).
fof(f86,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK3)
| spl5_1 ),
inference(resolution,[],[f65,f30]) ).
fof(f65,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,sK3))
| spl5_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f117,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK3)
| spl5_1
| ~ spl5_2 ),
inference(resolution,[],[f99,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,difference(X0,X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f99,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),difference(sK3,sK2))
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f93,f85]) ).
fof(f85,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK2)
| spl5_1 ),
inference(resolution,[],[f65,f29]) ).
fof(f93,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),difference(sK3,sK2))
| member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),sK2)
| ~ spl5_2 ),
inference(resolution,[],[f70,f28]) ).
fof(f70,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,difference(sK3,sK2)))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f60,f68,f64]) ).
fof(f60,plain,
( ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,difference(sK3,sK2)))
| ~ member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,sK3)) ),
inference(resolution,[],[f56,f54]) ).
fof(f54,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f45,f51]) ).
fof(f51,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).
fof(f45,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(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,[sK1])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,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,[],[f22]) ).
fof(f22,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/sandbox/tmp/tmp.YaaLJS2cog/Vampire---4.8_29564',equal_member_defn) ).
fof(f56,plain,
~ sQ4_eqProxy(union(sK2,sK3),union(sK2,difference(sK3,sK2))),
inference(equality_proxy_replacement,[],[f46,f51]) ).
fof(f46,plain,
union(sK2,sK3) != union(sK2,difference(sK3,sK2)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
union(sK2,sK3) != union(sK2,difference(sK3,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f11,f26]) ).
fof(f26,plain,
( ? [X0,X1] : union(X0,X1) != union(X0,difference(X1,X0))
=> union(sK2,sK3) != union(sK2,difference(sK3,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f11,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/sandbox/tmp/tmp.YaaLJS2cog/Vampire---4.8_29564',prove_th79) ).
fof(f71,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f59,f68,f64]) ).
fof(f59,plain,
( member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,difference(sK3,sK2)))
| member(sK1(union(sK2,sK3),union(sK2,difference(sK3,sK2))),union(sK2,sK3)) ),
inference(resolution,[],[f56,f55]) ).
fof(f55,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f44,f51]) ).
fof(f44,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET607+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 17:23:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 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.YaaLJS2cog/Vampire---4.8_29564
% 0.56/0.75 % (29828)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)
% 0.56/0.75 % (29822)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)
% 0.56/0.75 % (29828)Refutation not found, incomplete strategy% (29828)------------------------------
% 0.56/0.75 % (29828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29824)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (29828)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29828)Memory used [KB]: 954
% 0.56/0.75 % (29828)Time elapsed: 0.002 s
% 0.56/0.75 % (29825)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)
% 0.56/0.75 % (29828)Instructions burned: 3 (million)
% 0.56/0.75 % (29828)------------------------------
% 0.56/0.75 % (29828)------------------------------
% 0.56/0.75 % (29823)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)
% 0.56/0.75 % (29826)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)
% 0.56/0.75 % (29827)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)
% 0.56/0.75 % (29827)Refutation not found, incomplete strategy% (29827)------------------------------
% 0.56/0.75 % (29827)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29827)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29827)Memory used [KB]: 954
% 0.56/0.75 % (29827)Time elapsed: 0.003 s
% 0.56/0.75 % (29827)Instructions burned: 2 (million)
% 0.56/0.75 % (29827)------------------------------
% 0.56/0.75 % (29827)------------------------------
% 0.56/0.75 % (29825)Refutation not found, incomplete strategy% (29825)------------------------------
% 0.56/0.75 % (29825)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29825)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29825)Memory used [KB]: 971
% 0.56/0.75 % (29825)Time elapsed: 0.003 s
% 0.56/0.75 % (29825)Instructions burned: 3 (million)
% 0.56/0.75 % (29825)------------------------------
% 0.56/0.75 % (29825)------------------------------
% 0.56/0.75 % (29826)First to succeed.
% 0.56/0.75 % (29829)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)
% 0.56/0.75 % (29829)Also succeeded, but the first one will report.
% 0.56/0.75 % (29826)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (29826)------------------------------
% 0.56/0.75 % (29826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29826)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (29826)Memory used [KB]: 1061
% 0.56/0.75 % (29826)Time elapsed: 0.005 s
% 0.56/0.75 % (29826)Instructions burned: 6 (million)
% 0.56/0.75 % (29826)------------------------------
% 0.56/0.75 % (29826)------------------------------
% 0.56/0.75 % (29818)Success in time 0.38 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------