TSTP Solution File: SET041-3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET041-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : 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 03:44:32 EDT 2024
% Result : Unsatisfiable 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 43 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 17 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f224,plain,
$false,
inference(avatar_sat_refutation,[],[f214,f218,f223]) ).
fof(f223,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| spl1_4 ),
inference(subsumption_resolution,[],[f221,f167]) ).
fof(f167,axiom,
function(a_function),
file('/export/starexec/sandbox2/tmp/tmp.sMZujN6Coe/Vampire---4.8_26063',a_function) ).
fof(f221,plain,
( ~ function(a_function)
| spl1_4 ),
inference(subsumption_resolution,[],[f219,f168]) ).
fof(f168,axiom,
member(a,domain_of(a_function)),
file('/export/starexec/sandbox2/tmp/tmp.sMZujN6Coe/Vampire---4.8_26063',member_of_domain) ).
fof(f219,plain,
( ~ member(a,domain_of(a_function))
| ~ function(a_function)
| spl1_4 ),
inference(resolution,[],[f209,f165]) ).
fof(f165,axiom,
! [X0,X9,X7] :
( subset(apply(X9,apply(X7,X0)),apply(compose(X9,X7),X0))
| ~ member(X0,domain_of(X7))
| ~ function(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.sMZujN6Coe/Vampire---4.8_26063',apply_for_composition1) ).
fof(f209,plain,
( ~ subset(apply(another_function,apply(a_function,a)),apply(compose(another_function,a_function),a))
| spl1_4 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl1_4
<=> subset(apply(another_function,apply(a_function,a)),apply(compose(another_function,a_function),a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f218,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f217,plain,
( $false
| spl1_5 ),
inference(subsumption_resolution,[],[f215,f167]) ).
fof(f215,plain,
( ~ function(a_function)
| spl1_5 ),
inference(resolution,[],[f213,f166]) ).
fof(f166,axiom,
! [X0,X9,X7] :
( subset(apply(compose(X9,X7),X0),apply(X9,apply(X7,X0)))
| ~ function(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.sMZujN6Coe/Vampire---4.8_26063',apply_for_composition2) ).
fof(f213,plain,
( ~ subset(apply(compose(another_function,a_function),a),apply(another_function,apply(a_function,a)))
| spl1_5 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl1_5
<=> subset(apply(compose(another_function,a_function),a),apply(another_function,apply(a_function,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f214,plain,
( ~ spl1_4
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f191,f211,f207]) ).
fof(f191,plain,
( ~ subset(apply(compose(another_function,a_function),a),apply(another_function,apply(a_function,a)))
| ~ subset(apply(another_function,apply(a_function,a)),apply(compose(another_function,a_function),a)) ),
inference(resolution,[],[f178,f183]) ).
fof(f183,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(equality_proxy_replacement,[],[f145,f177]) ).
fof(f177,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f145,axiom,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.sMZujN6Coe/Vampire---4.8_26063',two_sets_equal) ).
fof(f178,plain,
~ sQ0_eqProxy(apply(another_function,apply(a_function,a)),apply(compose(another_function,a_function),a)),
inference(equality_proxy_replacement,[],[f169,f177]) ).
fof(f169,axiom,
apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a),
file('/export/starexec/sandbox2/tmp/tmp.sMZujN6Coe/Vampire---4.8_26063',prove_apply_for_composition3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET041-3 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.09 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Apr 30 17:22:51 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.09/0.28 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.sMZujN6Coe/Vampire---4.8_26063
% 0.47/0.64 % (26296)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)
% 0.47/0.64 % (26298)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)
% 0.47/0.64 % (26300)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)
% 0.47/0.64 % (26294)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)
% 0.47/0.64 % (26293)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)
% 0.47/0.64 % (26295)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.64 % (26299)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)
% 0.47/0.65 % (26298)Refutation not found, incomplete strategy% (26298)------------------------------
% 0.47/0.65 % (26298)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.65 % (26298)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.65
% 0.47/0.65 % (26298)Memory used [KB]: 1140
% 0.47/0.65 % (26298)Time elapsed: 0.002 s
% 0.47/0.65 % (26298)Instructions burned: 3 (million)
% 0.47/0.65 % (26298)------------------------------
% 0.47/0.65 % (26298)------------------------------
% 0.47/0.65 % (26297)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)
% 0.47/0.65 % (26300)First to succeed.
% 0.47/0.65 % (26300)Refutation found. Thanks to Tanya!
% 0.47/0.65 % SZS status Unsatisfiable for Vampire---4
% 0.47/0.65 % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.65 % (26300)------------------------------
% 0.47/0.65 % (26300)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.65 % (26300)Termination reason: Refutation
% 0.47/0.65
% 0.47/0.65 % (26300)Memory used [KB]: 1176
% 0.47/0.65 % (26300)Time elapsed: 0.002 s
% 0.47/0.65 % (26300)Instructions burned: 4 (million)
% 0.47/0.65 % (26300)------------------------------
% 0.47/0.65 % (26300)------------------------------
% 0.47/0.65 % (26228)Success in time 0.359 s
% 0.47/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------